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 |
|---|---|---|---|---|---|---|---|---|
[
11,
3,
36,
9
] | 23 | [
"3*36=108",
"108/9=12",
"11+12=23"
] | Current State: 23:[11, 3, 36, 9], Operations: []
Exploring Operation: 3*36=108, Resulting Numbers: [11, 9, 108]
Generated Node #2: [11, 9, 108] from Operation: 3*36=108
Current State: 23:[11, 9, 108], Operations: ['3*36=108']
Exploring Operation: 108/9=12, Resulting Numbers: [11, 12]
Generated Node #3: [11, 12] from Operation: 108/9=12
Current State: 23:[11, 12], Operations: ['3*36=108', '108/9=12']
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[11, 3, 36, 9], Operations: []
Exploring Operation: 36-3=33, Resulting Numbers: [11, 9, 33]
Generated Node #0,0: 23:[11, 9, 33] Operation: 36-3=33
Exploring Operation: 11+3=14, Resulting Numbers: [36, 9, 14]
Generated Node #0,1: 23:[36, 9, 14] Operation: 11+3=14
Exploring Operation: 11+9=20, Resulting Numbers: [3, 36, 20]
Generated Node #0,2: 23:[3, 36, 20] Operation: 11+9=20
Exploring Operation: 3*9=27, Resulting Numbers: [11, 36, 27]
Generated Node #0,3: 23:[11, 36, 27] Operation: 3*9=27
Exploring Operation: 36-11=25, Resulting Numbers: [3, 9, 25]
Generated Node #0,4: 23:[3, 9, 25] Operation: 36-11=25
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[11, 36, 27], Operations: ['3*9=27']
Exploring Operation: 36-27=9, Resulting Numbers: [11, 9]
Generated Node #0,3,0: 23:[11, 9] Operation: 36-27=9
Exploring Operation: 11+27=38, Resulting Numbers: [36, 38]
Generated Node #0,3,1: 23:[36, 38] Operation: 11+27=38
Exploring Operation: 36-11=25, Resulting Numbers: [27, 25]
Generated Node #0,3,2: 23:[27, 25] Operation: 36-11=25
Exploring Operation: 11+36=47, Resulting Numbers: [27, 47]
Generated Node #0,3,3: 23:[27, 47] Operation: 11+36=47
Exploring Operation: 27-11=16, Resulting Numbers: [36, 16]
Generated Node #0,3,4: 23:[36, 16] Operation: 27-11=16
Moving to Node #0,3,2
Current State: 23:[27, 25], Operations: ['3*9=27', '36-11=25']
Exploring Operation: 27+25=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 27*25=675, Resulting Numbers: [675]
675,23 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Moving to Node #0,3,4
Current State: 23:[36, 16], Operations: ['3*9=27', '27-11=16']
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 36*16=576, Resulting Numbers: [576]
576,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[11, 9], Operations: ['3*9=27', '36-27=9']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,23 unequal: No Solution
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[36, 38], Operations: ['3*9=27', '11+27=38']
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,23 unequal: No Solution
Exploring Operation: 36*38=1368, Resulting Numbers: [1368]
1368,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[27, 47], Operations: ['3*9=27', '11+36=47']
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,23 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[11, 9, 33], Operations: ['36-3=33']
Exploring Operation: 11+9=20, Resulting Numbers: [33, 20]
Generated Node #0,0,0: 23:[33, 20] Operation: 11+9=20
Exploring Operation: 33-11=22, Resulting Numbers: [9, 22]
Generated Node #0,0,1: 23:[9, 22] Operation: 33-11=22
Exploring Operation: 9+33=42, Resulting Numbers: [11, 42]
Generated Node #0,0,2: 23:[11, 42] Operation: 9+33=42
Exploring Operation: 11-9=2, Resulting Numbers: [33, 2]
Generated Node #0,0,3: 23:[33, 2] Operation: 11-9=2
Exploring Operation: 33-9=24, Resulting Numbers: [11, 24]
Generated Node #0,0,4: 23:[11, 24] Operation: 33-9=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[33, 20], Operations: ['36-3=33', '11+9=20']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 33*20=660, Resulting Numbers: [660]
660,23 unequal: No Solution
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 23:[11, 24], Operations: ['36-3=33', '33-9=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,23 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[9, 22], Operations: ['36-3=33', '33-11=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,23 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 23:[11, 42], Operations: ['36-3=33', '9+33=42']
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,23 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 23:[33, 2], Operations: ['36-3=33', '11-9=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[36, 9, 14], Operations: ['11+3=14']
Exploring Operation: 36+9=45, Resulting Numbers: [14, 45]
Generated Node #0,1,0: 23:[14, 45] Operation: 36+9=45
Exploring Operation: 36-14=22, Resulting Numbers: [9, 22]
Generated Node #0,1,1: 23:[9, 22] Operation: 36-14=22
Exploring Operation: 36/9=4, Resulting Numbers: [14, 4]
Generated Node #0,1,2: 23:[14, 4] Operation: 36/9=4
Exploring Operation: 36-9=27, Resulting Numbers: [14, 27]
Generated Node #0,1,3: 23:[14, 27] Operation: 36-9=27
Exploring Operation: 9+14=23, Resulting Numbers: [36, 23]
Generated Node #0,1,4: 23:[36, 23] Operation: 9+14=23
Moving to Node #0,1,3
Current State: 23:[14, 27], Operations: ['11+3=14', '36-9=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 14*27=378, Resulting Numbers: [378]
378,23 unequal: No Solution
Moving to Node #0,1,4
Current State: 23:[36, 23], Operations: ['11+3=14', '9+14=23']
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,23 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,23 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[9, 22], Operations: ['11+3=14', '36-14=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,23 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[14, 4], Operations: ['11+3=14', '36/9=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[14, 45], Operations: ['11+3=14', '36+9=45']
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,23 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[3, 36, 20], Operations: ['11+9=20']
Exploring Operation: 3+20=23, Resulting Numbers: [36, 23]
Generated Node #0,2,0: 23:[36, 23] Operation: 3+20=23
Exploring Operation: 36/3=12, Resulting Numbers: [20, 12]
Generated Node #0,2,1: 23:[20, 12] Operation: 36/3=12
Exploring Operation: 3+36=39, Resulting Numbers: [20, 39]
Generated Node #0,2,2: 23:[20, 39] Operation: 3+36=39
Exploring Operation: 20-3=17, Resulting Numbers: [36, 17]
Generated Node #0,2,3: 23:[36, 17] Operation: 20-3=17
Exploring Operation: 36-3=33, Resulting Numbers: [20, 33]
Generated Node #0,2,4: 23:[20, 33] Operation: 36-3=33
Moving to Node #0,2,0
Current State: 23:[36, 23], Operations: ['11+9=20', '3+20=23']
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,23 unequal: No Solution
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,23 unequal: No Solution
Moving to Node #0,2,4
Current State: 23:[20, 33], Operations: ['11+9=20', '36-3=33']
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 20*33=660, Resulting Numbers: [660]
660,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[20, 12], Operations: ['11+9=20', '36/3=12']
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[20, 39], Operations: ['11+9=20', '3+36=39']
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,23 unequal: No Solution
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,23 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[36, 17], Operations: ['11+9=20', '20-3=17']
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,23 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 36*17=612, Resulting Numbers: [612]
612,23 unequal: No Solution
No 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: 23:[3, 9, 25], Operations: ['36-11=25']
Exploring Operation: 9-3=6, Resulting Numbers: [25, 6]
Generated Node #0,4,0: 23:[25, 6] Operation: 9-3=6
Exploring Operation: 3+9=12, Resulting Numbers: [25, 12]
Generated Node #0,4,1: 23:[25, 12] Operation: 3+9=12
Exploring Operation: 25-3=22, Resulting Numbers: [9, 22]
Generated Node #0,4,2: 23:[9, 22] Operation: 25-3=22
Exploring Operation: 3*9=27, Resulting Numbers: [25, 27]
Generated Node #0,4,3: 23:[25, 27] Operation: 3*9=27
Exploring Operation: 3+25=28, Resulting Numbers: [9, 28]
Generated Node #0,4,4: 23:[9, 28] Operation: 3+25=28
Moving to Node #0,4,3
Current State: 23:[25, 27], Operations: ['36-11=25', '3*9=27']
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,23 unequal: No Solution
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,23 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Moving to Node #0,4,1
Current State: 23:[25, 12], Operations: ['36-11=25', '3+9=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,23 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,23 unequal: No Solution
Moving to Node #0,4,2
Current State: 23:[9, 22], Operations: ['36-11=25', '25-3=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,23 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Moving to Node #0,4,0
Current State: 23:[25, 6], Operations: ['36-11=25', '9-3=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,23 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Moving to Node #0,4,4
Current State: 23:[9, 28], Operations: ['36-11=25', '3+25=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,23 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,23 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 |
[
26,
93,
86,
80
] | 88 | [
"93-80=13",
"26/13=2",
"86+2=88"
] | Current State: 88:[26, 93, 86, 80], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [26, 86, 13]
Generated Node #2: [26, 86, 13] from Operation: 93-80=13
Current State: 88:[26, 86, 13], Operations: ['93-80=13']
Exploring Operation: 26/13=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 26/13=2
Current State: 88:[86, 2], Operations: ['93-80=13', '26/13=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[26, 93, 86, 80], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [26, 86, 13]
Generated Node #0,0: 88:[26, 86, 13] Operation: 93-80=13
Exploring Operation: 86-80=6, Resulting Numbers: [26, 93, 6]
Generated Node #0,1: 88:[26, 93, 6] Operation: 86-80=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[26, 86, 13], Operations: ['93-80=13']
Exploring Operation: 26-13=13, Resulting Numbers: [86, 13]
Generated Node #0,0,0: 88:[86, 13] Operation: 26-13=13
Exploring Operation: 26/13=2, Resulting Numbers: [86, 2]
Generated Node #0,0,1: 88:[86, 2] Operation: 26/13=2
Moving to Node #0,0,1
Current State: 88:[86, 2], Operations: ['93-80=13', '26/13=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[26, 93, 86, 80], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [26, 86, 13]
Generated Node #0,0: 88:[26, 86, 13] Operation: 93-80=13
Moving to Node #0,0
Current State: 88:[26, 86, 13], Operations: ['93-80=13']
Exploring Operation: 26/13=2, Resulting Numbers: [86, 2]
Generated Node #0,0,1: 88:[86, 2] Operation: 26/13=2
Moving to Node #0,0,1
Current State: 88:[86, 2], Operations: ['93-80=13', '26/13=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
56,
38,
29,
89
] | 24 | [
"56+38=94",
"29+89=118",
"118-94=24"
] | Current State: 24:[56, 38, 29, 89], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [29, 89, 94]
Generated Node #2: [29, 89, 94] from Operation: 56+38=94
Current State: 24:[29, 89, 94], Operations: ['56+38=94']
Exploring Operation: 29+89=118, Resulting Numbers: [94, 118]
Generated Node #3: [94, 118] from Operation: 29+89=118
Current State: 24:[94, 118], Operations: ['56+38=94', '29+89=118']
Exploring Operation: 118-94=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[56, 38, 29, 89], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [38, 29, 33]
Generated Node #0,0: 24:[38, 29, 33] Operation: 89-56=33
Moving to Node #0,0
Current State: 24:[38, 29, 33], Operations: ['89-56=33']
Exploring Operation: 38-33=5, Resulting Numbers: [29, 5]
Generated Node #0,0,0: 24:[29, 5] Operation: 38-33=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[29, 5], Operations: ['89-56=33', '38-33=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[56, 38, 29, 89], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [38, 29, 33]
Generated Node #0,0: 24:[38, 29, 33] Operation: 89-56=33
Moving to Node #0,0
Current State: 24:[38, 29, 33], Operations: ['89-56=33']
Exploring Operation: 38-33=5, Resulting Numbers: [29, 5]
Generated Node #0,0,0: 24:[29, 5] Operation: 38-33=5
Moving to Node #0,0,0
Current State: 24:[29, 5], Operations: ['89-56=33', '38-33=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
88,
79,
22,
31
] | 12 | [
"88/22=4",
"79-31=48",
"48/4=12"
] | Current State: 12:[88, 79, 22, 31], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [79, 31, 4]
Generated Node #2: [79, 31, 4] from Operation: 88/22=4
Current State: 12:[79, 31, 4], Operations: ['88/22=4']
Exploring Operation: 79-31=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 79-31=48
Current State: 12:[4, 48], Operations: ['88/22=4', '79-31=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[88, 79, 22, 31], Operations: []
Exploring Operation: 88-79=9, Resulting Numbers: [22, 31, 9]
Generated Node #0,0: 12:[22, 31, 9] Operation: 88-79=9
Exploring Operation: 88/22=4, Resulting Numbers: [79, 31, 4]
Generated Node #0,1: 12:[79, 31, 4] Operation: 88/22=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[22, 31, 9], Operations: ['88-79=9']
Exploring Operation: 31-22=9, Resulting Numbers: [9, 9]
Generated Node #0,0,0: 12:[9, 9] Operation: 31-22=9
Exploring Operation: 22-9=13, Resulting Numbers: [31, 13]
Generated Node #0,0,1: 12:[31, 13] Operation: 22-9=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[9, 9], Operations: ['88-79=9', '31-22=9']
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,12 unequal: No Solution
No 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: 12:[31, 13], Operations: ['88-79=9', '22-9=13']
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,12 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,12 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: 12:[79, 31, 4], Operations: ['88/22=4']
Exploring Operation: 79-4=75, Resulting Numbers: [31, 75]
Generated Node #0,1,0: 12:[31, 75] Operation: 79-4=75
Exploring Operation: 79-31=48, Resulting Numbers: [4, 48]
Generated Node #0,1,1: 12:[4, 48] Operation: 79-31=48
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[4, 48], Operations: ['88/22=4', '79-31=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[88, 79, 22, 31], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [79, 31, 4]
Generated Node #0,1: 12:[79, 31, 4] Operation: 88/22=4
Moving to Node #0,1
Current State: 12:[79, 31, 4], Operations: ['88/22=4']
Exploring Operation: 79-31=48, Resulting Numbers: [4, 48]
Generated Node #0,1,1: 12:[4, 48] Operation: 79-31=48
Moving to Node #0,1,1
Current State: 12:[4, 48], Operations: ['88/22=4', '79-31=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
94,
12,
99,
50
] | 10 | [
"99-94=5",
"12*5=60",
"60-50=10"
] | Current State: 10:[94, 12, 99, 50], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [12, 50, 5]
Generated Node #2: [12, 50, 5] from Operation: 99-94=5
Current State: 10:[12, 50, 5], Operations: ['99-94=5']
Exploring Operation: 12*5=60, Resulting Numbers: [50, 60]
Generated Node #3: [50, 60] from Operation: 12*5=60
Current State: 10:[50, 60], Operations: ['99-94=5', '12*5=60']
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[94, 12, 99, 50], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [12, 50, 5]
Generated Node #0,0: 10:[12, 50, 5] Operation: 99-94=5
Exploring Operation: 94-50=44, Resulting Numbers: [12, 99, 44]
Generated Node #0,1: 10:[12, 99, 44] Operation: 94-50=44
Exploring Operation: 99-50=49, Resulting Numbers: [94, 12, 49]
Generated Node #0,2: 10:[94, 12, 49] Operation: 99-50=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[12, 50, 5], Operations: ['99-94=5']
Exploring Operation: 50/5=10, Resulting Numbers: [12, 10]
Generated Node #0,0,0: 10:[12, 10] Operation: 50/5=10
Exploring Operation: 50-12=38, Resulting Numbers: [5, 38]
Generated Node #0,0,1: 10:[5, 38] Operation: 50-12=38
Exploring Operation: 50-5=45, Resulting Numbers: [12, 45]
Generated Node #0,0,2: 10:[12, 45] Operation: 50-5=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[12, 10], Operations: ['99-94=5', '50/5=10']
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,10 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[5, 38], Operations: ['99-94=5', '50-12=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,10 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 10:[12, 45], Operations: ['99-94=5', '50-5=45']
Exploring Operation: 12*45=540, Resulting Numbers: [540]
540,10 unequal: No Solution
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[12, 99, 44], Operations: ['94-50=44']
Exploring Operation: 44-12=32, Resulting Numbers: [99, 32]
Generated Node #0,1,0: 10:[99, 32] Operation: 44-12=32
Exploring Operation: 99-44=55, Resulting Numbers: [12, 55]
Generated Node #0,1,1: 10:[12, 55] Operation: 99-44=55
Exploring Operation: 99-12=87, Resulting Numbers: [44, 87]
Generated Node #0,1,2: 10:[44, 87] Operation: 99-12=87
Moving to Node #0,1,1
Current State: 10:[12, 55], Operations: ['94-50=44', '99-44=55']
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,10 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 12*55=660, Resulting Numbers: [660]
660,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[99, 32], Operations: ['94-50=44', '44-12=32']
Exploring Operation: 99*32=3168, Resulting Numbers: [3168]
3168,10 unequal: No Solution
Exploring Operation: 99+32=131, Resulting Numbers: [131]
131,10 unequal: No Solution
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[44, 87], Operations: ['94-50=44', '99-12=87']
Exploring Operation: 44*87=3828, Resulting Numbers: [3828]
3828,10 unequal: No Solution
Exploring Operation: 44+87=131, Resulting Numbers: [131]
131,10 unequal: No Solution
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,10 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
Current State: 10:[94, 12, 49], Operations: ['99-50=49']
Exploring Operation: 94-12=82, Resulting Numbers: [49, 82]
Generated Node #0,2,0: 10:[49, 82] Operation: 94-12=82
Exploring Operation: 94-49=45, Resulting Numbers: [12, 45]
Generated Node #0,2,1: 10:[12, 45] Operation: 94-49=45
Exploring Operation: 49-12=37, Resulting Numbers: [94, 37]
Generated Node #0,2,2: 10:[94, 37] Operation: 49-12=37
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 10:[12, 45], Operations: ['99-50=49', '94-49=45']
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 12*45=540, Resulting Numbers: [540]
540,10 unequal: No Solution
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 10:[49, 82], Operations: ['99-50=49', '94-12=82']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,10 unequal: No Solution
Exploring Operation: 49+82=131, Resulting Numbers: [131]
131,10 unequal: No Solution
Exploring Operation: 49*82=4018, Resulting Numbers: [4018]
4018,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 10:[94, 37], Operations: ['99-50=49', '49-12=37']
Exploring Operation: 94-37=57, Resulting Numbers: [57]
57,10 unequal: No Solution
Exploring Operation: 94+37=131, Resulting Numbers: [131]
131,10 unequal: No Solution
Exploring Operation: 94*37=3478, Resulting Numbers: [3478]
3478,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
76,
63,
53,
57
] | 82 | [
"57-53=4",
"76/4=19",
"63+19=82"
] | Current State: 82:[76, 63, 53, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [76, 63, 4]
Generated Node #2: [76, 63, 4] from Operation: 57-53=4
Current State: 82:[76, 63, 4], Operations: ['57-53=4']
Exploring Operation: 76/4=19, Resulting Numbers: [63, 19]
Generated Node #3: [63, 19] from Operation: 76/4=19
Current State: 82:[63, 19], Operations: ['57-53=4', '76/4=19']
Exploring Operation: 63+19=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[76, 63, 53, 57], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [76, 53, 6]
Generated Node #0,0: 82:[76, 53, 6] Operation: 63-57=6
Moving to Node #0,0
Current State: 82:[76, 53, 6], Operations: ['63-57=6']
Exploring Operation: 76+6=82, Resulting Numbers: [53, 82]
Generated Node #0,0,0: 82:[53, 82] Operation: 76+6=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[53, 82], Operations: ['63-57=6', '76+6=82']
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
87,
33,
27,
24
] | 83 | [
"33-27=6",
"24/6=4",
"87-4=83"
] | Current State: 83:[87, 33, 27, 24], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [87, 24, 6]
Generated Node #2: [87, 24, 6] from Operation: 33-27=6
Current State: 83:[87, 24, 6], Operations: ['33-27=6']
Exploring Operation: 24/6=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 24/6=4
Current State: 83:[87, 4], Operations: ['33-27=6', '24/6=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[87, 33, 27, 24], Operations: []
Exploring Operation: 33+27=60, Resulting Numbers: [87, 24, 60]
Generated Node #0,0: 83:[87, 24, 60] Operation: 33+27=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[87, 24, 60], Operations: ['33+27=60']
Exploring Operation: 24+60=84, Resulting Numbers: [87, 84]
Generated Node #0,0,0: 83:[87, 84] Operation: 24+60=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[87, 84], Operations: ['33+27=60', '24+60=84']
Exploring Operation: 87-84=3, Resulting Numbers: [3]
3,83 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 |
[
60,
20,
35,
28
] | 21 | [
"60/20=3",
"35+28=63",
"63/3=21"
] | Current State: 21:[60, 20, 35, 28], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [35, 28, 3]
Generated Node #2: [35, 28, 3] from Operation: 60/20=3
Current State: 21:[35, 28, 3], Operations: ['60/20=3']
Exploring Operation: 35+28=63, Resulting Numbers: [3, 63]
Generated Node #3: [3, 63] from Operation: 35+28=63
Current State: 21:[3, 63], Operations: ['60/20=3', '35+28=63']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[60, 20, 35, 28], Operations: []
Exploring Operation: 60-28=32, Resulting Numbers: [20, 35, 32]
Generated Node #0,0: 21:[20, 35, 32] Operation: 60-28=32
Exploring Operation: 60/20=3, Resulting Numbers: [35, 28, 3]
Generated Node #0,1: 21:[35, 28, 3] Operation: 60/20=3
Exploring Operation: 60-35=25, Resulting Numbers: [20, 28, 25]
Generated Node #0,2: 21:[20, 28, 25] Operation: 60-35=25
Moving to Node #0,2
Current State: 21:[20, 28, 25], Operations: ['60-35=25']
Exploring Operation: 28-25=3, Resulting Numbers: [20, 3]
Generated Node #0,2,0: 21:[20, 3] Operation: 28-25=3
Exploring Operation: 25-20=5, Resulting Numbers: [28, 5]
Generated Node #0,2,1: 21:[28, 5] Operation: 25-20=5
Exploring Operation: 28-20=8, Resulting Numbers: [25, 8]
Generated Node #0,2,2: 21:[25, 8] Operation: 28-20=8
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[20, 3], Operations: ['60-35=25', '28-25=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,21 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 20-3=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:[25, 8], Operations: ['60-35=25', '28-20=8']
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,21 unequal: No Solution
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,21 unequal: No Solution
Exploring Operation: 25-8=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 #0,2,1
Current State: 21:[28, 5], Operations: ['60-35=25', '25-20=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,21 unequal: No Solution
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,21 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: 21:[35, 28, 3], Operations: ['60/20=3']
Exploring Operation: 35-3=32, Resulting Numbers: [28, 32]
Generated Node #0,1,0: 21:[28, 32] Operation: 35-3=32
Exploring Operation: 28-3=25, Resulting Numbers: [35, 25]
Generated Node #0,1,1: 21:[35, 25] Operation: 28-3=25
Exploring Operation: 35-28=7, Resulting Numbers: [3, 7]
Generated Node #0,1,2: 21:[3, 7] Operation: 35-28=7
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[3, 7], Operations: ['60/20=3', '35-28=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[60, 20, 35, 28], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [35, 28, 3]
Generated Node #0,1: 21:[35, 28, 3] Operation: 60/20=3
Moving to Node #0,1
Current State: 21:[35, 28, 3], Operations: ['60/20=3']
Exploring Operation: 35-28=7, Resulting Numbers: [3, 7]
Generated Node #0,1,2: 21:[3, 7] Operation: 35-28=7
Moving to Node #0,1,2
Current State: 21:[3, 7], Operations: ['60/20=3', '35-28=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
88,
75,
52,
25
] | 40 | [
"88-75=13",
"52-25=27",
"13+27=40"
] | Current State: 40:[88, 75, 52, 25], Operations: []
Exploring Operation: 88-75=13, Resulting Numbers: [52, 25, 13]
Generated Node #2: [52, 25, 13] from Operation: 88-75=13
Current State: 40:[52, 25, 13], Operations: ['88-75=13']
Exploring Operation: 52-25=27, Resulting Numbers: [13, 27]
Generated Node #3: [13, 27] from Operation: 52-25=27
Current State: 40:[13, 27], Operations: ['88-75=13', '52-25=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[88, 75, 52, 25], Operations: []
Exploring Operation: 75-52=23, Resulting Numbers: [88, 25, 23]
Generated Node #0,0: 40:[88, 25, 23] Operation: 75-52=23
Exploring Operation: 88-75=13, Resulting Numbers: [52, 25, 13]
Generated Node #0,1: 40:[52, 25, 13] Operation: 88-75=13
Exploring Operation: 75/25=3, Resulting Numbers: [88, 52, 3]
Generated Node #0,2: 40:[88, 52, 3] Operation: 75/25=3
Exploring Operation: 88-25=63, Resulting Numbers: [75, 52, 63]
Generated Node #0,3: 40:[75, 52, 63] Operation: 88-25=63
Exploring Operation: 88-52=36, Resulting Numbers: [75, 25, 36]
Generated Node #0,4: 40:[75, 25, 36] Operation: 88-52=36
Moving to Node #0,1
Current State: 40:[52, 25, 13], Operations: ['88-75=13']
Exploring Operation: 25-13=12, Resulting Numbers: [52, 12]
Generated Node #0,1,0: 40:[52, 12] Operation: 25-13=12
Exploring Operation: 52-25=27, Resulting Numbers: [13, 27]
Generated Node #0,1,1: 40:[13, 27] Operation: 52-25=27
Exploring Operation: 52-13=39, Resulting Numbers: [25, 39]
Generated Node #0,1,2: 40:[25, 39] Operation: 52-13=39
Exploring Operation: 25+13=38, Resulting Numbers: [52, 38]
Generated Node #0,1,3: 40:[52, 38] Operation: 25+13=38
Exploring Operation: 52/13=4, Resulting Numbers: [25, 4]
Generated Node #0,1,4: 40:[25, 4] Operation: 52/13=4
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 40:[25, 4], Operations: ['88-75=13', '52/13=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,40 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 40:[25, 39], Operations: ['88-75=13', '52-13=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,40 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,40 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:[13, 27], Operations: ['88-75=13', '52-25=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[88, 75, 52, 25], Operations: []
Exploring Operation: 88-75=13, Resulting Numbers: [52, 25, 13]
Generated Node #0,1: 40:[52, 25, 13] Operation: 88-75=13
Moving to Node #0,1
Current State: 40:[52, 25, 13], Operations: ['88-75=13']
Exploring Operation: 52-25=27, Resulting Numbers: [13, 27]
Generated Node #0,1,1: 40:[13, 27] Operation: 52-25=27
Moving to Node #0,1,1
Current State: 40:[13, 27], Operations: ['88-75=13', '52-25=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
8,
13,
83,
8
] | 80 | [
"13-8=5",
"83-8=75",
"5+75=80"
] | Current State: 80:[8, 13, 83, 8], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [83, 5]
Generated Node #2: [83, 5] from Operation: 13-8=5
Current State: 80:[83, 5], Operations: ['13-8=5']
Exploring Operation: 83-8=75, Resulting Numbers: [5, 75]
Generated Node #3: [5, 75] from Operation: 83-8=75
Current State: 80:[5, 75], Operations: ['13-8=5', '83-8=75']
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[8, 13, 83, 8], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [8, 83, 5]
Generated Node #0,0: 80:[8, 83, 5] Operation: 13-8=5
Exploring Operation: 8+13=21, Resulting Numbers: [83, 8, 21]
Generated Node #0,1: 80:[83, 8, 21] Operation: 8+13=21
Exploring Operation: 13-8=5, Resulting Numbers: [83, 8, 5]
Generated Node #0,2: 80:[83, 8, 5] Operation: 13-8=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[8, 83, 5], Operations: ['13-8=5']
Exploring Operation: 8*5=40, Resulting Numbers: [83, 40]
Generated Node #0,0,0: 80:[83, 40] Operation: 8*5=40
Exploring Operation: 8-5=3, Resulting Numbers: [83, 3]
Generated Node #0,0,1: 80:[83, 3] Operation: 8-5=3
Exploring Operation: 83-5=78, Resulting Numbers: [8, 78]
Generated Node #0,0,2: 80:[8, 78] Operation: 83-5=78
Moving to Node #0,0,2
Current State: 80:[8, 78], Operations: ['13-8=5', '83-5=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 8*78=624, Resulting Numbers: [624]
624,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[83, 40], Operations: ['13-8=5', '8*5=40']
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,80 unequal: No Solution
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[83, 3], Operations: ['13-8=5', '8-5=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[8, 13, 83, 8], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [8, 83, 5]
Generated Node #0,0: 80:[8, 83, 5] Operation: 13-8=5
Moving to Node #0,0
Current State: 80:[8, 83, 5], Operations: ['13-8=5']
Exploring Operation: 8-5=3, Resulting Numbers: [83, 3]
Generated Node #0,0,1: 80:[83, 3] Operation: 8-5=3
Moving to Node #0,0,1
Current State: 80:[83, 3], Operations: ['13-8=5', '8-5=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
13,
66,
5,
52
] | 65 | [
"52/13=4",
"66-5=61",
"4+61=65"
] | Current State: 65:[13, 66, 5, 52], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [66, 5, 4]
Generated Node #2: [66, 5, 4] from Operation: 52/13=4
Current State: 65:[66, 5, 4], Operations: ['52/13=4']
Exploring Operation: 66-5=61, Resulting Numbers: [4, 61]
Generated Node #3: [4, 61] from Operation: 66-5=61
Current State: 65:[4, 61], Operations: ['52/13=4', '66-5=61']
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[13, 66, 5, 52], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [66, 5, 4]
Generated Node #0,0: 65:[66, 5, 4] Operation: 52/13=4
Exploring Operation: 13*5=65, Resulting Numbers: [66, 52, 65]
Generated Node #0,1: 65:[66, 52, 65] Operation: 13*5=65
Exploring Operation: 66-52=14, Resulting Numbers: [13, 5, 14]
Generated Node #0,2: 65:[13, 5, 14] Operation: 66-52=14
Exploring Operation: 5+52=57, Resulting Numbers: [13, 66, 57]
Generated Node #0,3: 65:[13, 66, 57] Operation: 5+52=57
Exploring Operation: 13+52=65, Resulting Numbers: [66, 5, 65]
Generated Node #0,4: 65:[66, 5, 65] Operation: 13+52=65
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[13, 5, 14], Operations: ['66-52=14']
Exploring Operation: 13-5=8, Resulting Numbers: [14, 8]
Generated Node #0,2,0: 65:[14, 8] Operation: 13-5=8
Exploring Operation: 14-13=1, Resulting Numbers: [5, 1]
Generated Node #0,2,1: 65:[5, 1] Operation: 14-13=1
Exploring Operation: 5*14=70, Resulting Numbers: [13, 70]
Generated Node #0,2,2: 65:[13, 70] Operation: 5*14=70
Exploring Operation: 14-5=9, Resulting Numbers: [13, 9]
Generated Node #0,2,3: 65:[13, 9] Operation: 14-5=9
Exploring Operation: 13*5=65, Resulting Numbers: [14, 65]
Generated Node #0,2,4: 65:[14, 65] Operation: 13*5=65
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 65:[14, 65], Operations: ['66-52=14', '13*5=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Exploring Operation: 14*65=910, Resulting Numbers: [910]
910,65 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[14, 8], Operations: ['66-52=14', '13-5=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 65:[5, 1], Operations: ['66-52=14', '14-13=1']
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 65:[13, 9], Operations: ['66-52=14', '14-5=9']
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,65 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 65:[13, 70], Operations: ['66-52=14', '5*14=70']
Exploring Operation: 13*70=910, Resulting Numbers: [910]
910,65 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 65:[66, 5, 65], Operations: ['13+52=65']
Exploring Operation: 5+65=70, Resulting Numbers: [66, 70]
Generated Node #0,4,0: 65:[66, 70] Operation: 5+65=70
Exploring Operation: 66+5=71, Resulting Numbers: [65, 71]
Generated Node #0,4,1: 65:[65, 71] Operation: 66+5=71
Exploring Operation: 65/5=13, Resulting Numbers: [66, 13]
Generated Node #0,4,2: 65:[66, 13] Operation: 65/5=13
Exploring Operation: 66-5=61, Resulting Numbers: [65, 61]
Generated Node #0,4,3: 65:[65, 61] Operation: 66-5=61
Exploring Operation: 66-65=1, Resulting Numbers: [5, 1]
Generated Node #0,4,4: 65:[5, 1] Operation: 66-65=1
Moving to Node #0,4,2
Current State: 65:[66, 13], Operations: ['13+52=65', '65/5=13']
Exploring Operation: 66*13=858, Resulting Numbers: [858]
858,65 unequal: No Solution
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,65 unequal: No Solution
Exploring Operation: 66+13=79, Resulting Numbers: [79]
79,65 unequal: No Solution
Moving to Node #0,4,4
Current State: 65:[5, 1], Operations: ['13+52=65', '66-65=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Moving to Node #0,4,3
Current State: 65:[65, 61], Operations: ['13+52=65', '66-5=61']
Exploring Operation: 65-61=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 65+61=126, Resulting Numbers: [126]
126,65 unequal: No Solution
Exploring Operation: 65*61=3965, Resulting Numbers: [3965]
3965,65 unequal: No Solution
Moving to Node #0,4,0
Current State: 65:[66, 70], Operations: ['13+52=65', '5+65=70']
Exploring Operation: 66*70=4620, Resulting Numbers: [4620]
4620,65 unequal: No Solution
Exploring Operation: 70-66=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 66+70=136, Resulting Numbers: [136]
136,65 unequal: No Solution
Moving to Node #0,4,1
Current State: 65:[65, 71], Operations: ['13+52=65', '66+5=71']
Exploring Operation: 65+71=136, Resulting Numbers: [136]
136,65 unequal: No Solution
Exploring Operation: 65*71=4615, Resulting Numbers: [4615]
4615,65 unequal: No Solution
Exploring Operation: 71-65=6, Resulting Numbers: [6]
6,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[66, 5, 4], Operations: ['52/13=4']
Exploring Operation: 66-4=62, Resulting Numbers: [5, 62]
Generated Node #0,0,0: 65:[5, 62] Operation: 66-4=62
Exploring Operation: 5+4=9, Resulting Numbers: [66, 9]
Generated Node #0,0,1: 65:[66, 9] Operation: 5+4=9
Exploring Operation: 5-4=1, Resulting Numbers: [66, 1]
Generated Node #0,0,2: 65:[66, 1] Operation: 5-4=1
Exploring Operation: 66-5=61, Resulting Numbers: [4, 61]
Generated Node #0,0,3: 65:[4, 61] Operation: 66-5=61
Exploring Operation: 66+4=70, Resulting Numbers: [5, 70]
Generated Node #0,0,4: 65:[5, 70] Operation: 66+4=70
Moving to Node #0,0,0
Current State: 65:[5, 62], Operations: ['52/13=4', '66-4=62']
Exploring Operation: 5*62=310, Resulting Numbers: [310]
310,65 unequal: No Solution
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 5+62=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[66, 1], Operations: ['52/13=4', '5-4=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[13, 66, 5, 52], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [66, 5, 4]
Generated Node #0,0: 65:[66, 5, 4] Operation: 52/13=4
Moving to Node #0,0
Current State: 65:[66, 5, 4], Operations: ['52/13=4']
Exploring Operation: 5-4=1, Resulting Numbers: [66, 1]
Generated Node #0,0,2: 65:[66, 1] Operation: 5-4=1
Moving to Node #0,0,2
Current State: 65:[66, 1], Operations: ['52/13=4', '5-4=1']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181 | hs_5 | sum_heuristic |
[
12,
2,
24,
80
] | 84 | [
"12/2=6",
"24/6=4",
"80+4=84"
] | Current State: 84:[12, 2, 24, 80], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [24, 80, 6]
Generated Node #2: [24, 80, 6] from Operation: 12/2=6
Current State: 84:[24, 80, 6], Operations: ['12/2=6']
Exploring Operation: 24/6=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 24/6=4
Current State: 84:[80, 4], Operations: ['12/2=6', '24/6=4']
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[12, 2, 24, 80], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [2, 80, 12]
Generated Node #0,0: 84:[2, 80, 12] Operation: 24-12=12
Moving to Node #0,0
Current State: 84:[2, 80, 12], Operations: ['24-12=12']
Exploring Operation: 2+80=82, Resulting Numbers: [12, 82]
Generated Node #0,0,0: 84:[12, 82] Operation: 2+80=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[12, 82], Operations: ['24-12=12', '2+80=82']
Exploring Operation: 12+82=94, Resulting Numbers: [94]
94,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
13,
37,
17,
7
] | 88 | [
"37*17=629",
"629-13=616",
"616/7=88"
] | Current State: 88:[13, 37, 17, 7], Operations: []
Exploring Operation: 37*17=629, Resulting Numbers: [13, 7, 629]
Generated Node #2: [13, 7, 629] from Operation: 37*17=629
Current State: 88:[13, 7, 629], Operations: ['37*17=629']
Exploring Operation: 629-13=616, Resulting Numbers: [7, 616]
Generated Node #3: [7, 616] from Operation: 629-13=616
Current State: 88:[7, 616], Operations: ['37*17=629', '629-13=616']
Exploring Operation: 616/7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[13, 37, 17, 7], Operations: []
Exploring Operation: 37-17=20, Resulting Numbers: [13, 7, 20]
Generated Node #0,0: 88:[13, 7, 20] Operation: 37-17=20
Exploring Operation: 37+7=44, Resulting Numbers: [13, 17, 44]
Generated Node #0,1: 88:[13, 17, 44] Operation: 37+7=44
Exploring Operation: 37-13=24, Resulting Numbers: [17, 7, 24]
Generated Node #0,2: 88:[17, 7, 24] Operation: 37-13=24
Exploring Operation: 17-7=10, Resulting Numbers: [13, 37, 10]
Generated Node #0,3: 88:[13, 37, 10] Operation: 17-7=10
Exploring Operation: 17-13=4, Resulting Numbers: [37, 7, 4]
Generated Node #0,4: 88:[37, 7, 4] Operation: 17-13=4
Moving to Node #0,0
Current State: 88:[13, 7, 20], Operations: ['37-17=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13, 13]
Generated Node #0,0,0: 88:[13, 13] Operation: 20-7=13
Exploring Operation: 13*7=91, Resulting Numbers: [20, 91]
Generated Node #0,0,1: 88:[20, 91] Operation: 13*7=91
Exploring Operation: 13-7=6, Resulting Numbers: [20, 6]
Generated Node #0,0,2: 88:[20, 6] Operation: 13-7=6
Exploring Operation: 20-13=7, Resulting Numbers: [7, 7]
Generated Node #0,0,3: 88:[7, 7] Operation: 20-13=7
Exploring Operation: 13+7=20, Resulting Numbers: [20, 20]
Generated Node #0,0,4: 88:[20, 20] Operation: 13+7=20
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 88:[7, 7], Operations: ['37-17=20', '20-13=7']
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[13, 13], Operations: ['37-17=20', '20-7=13']
Exploring Operation: 13/13=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 13*13=169, Resulting Numbers: [169]
169,88 unequal: No Solution
Exploring Operation: 13-13=0, Resulting Numbers: [0]
0,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[20, 6], Operations: ['37-17=20', '13-7=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,88 unequal: No Solution
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 88:[20, 20], Operations: ['37-17=20', '13+7=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,88 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[20, 91], Operations: ['37-17=20', '13*7=91']
Exploring Operation: 20*91=1820, Resulting Numbers: [1820]
1820,88 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 20+91=111, Resulting Numbers: [111]
111,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 88:[13, 17, 44], Operations: ['37+7=44']
Exploring Operation: 44-13=31, Resulting Numbers: [17, 31]
Generated Node #0,1,0: 88:[17, 31] Operation: 44-13=31
Exploring Operation: 13+44=57, Resulting Numbers: [17, 57]
Generated Node #0,1,1: 88:[17, 57] Operation: 13+44=57
Exploring Operation: 17-13=4, Resulting Numbers: [44, 4]
Generated Node #0,1,2: 88:[44, 4] Operation: 17-13=4
Exploring Operation: 13+17=30, Resulting Numbers: [44, 30]
Generated Node #0,1,3: 88:[44, 30] Operation: 13+17=30
Exploring Operation: 44-17=27, Resulting Numbers: [13, 27]
Generated Node #0,1,4: 88:[13, 27] Operation: 44-17=27
Moving to Node #0,2
Current State: 88:[17, 7, 24], Operations: ['37-13=24']
Exploring Operation: 17+7=24, Resulting Numbers: [24, 24]
Generated Node #0,2,0: 88:[24, 24] Operation: 17+7=24
Exploring Operation: 24-17=7, Resulting Numbers: [7, 7]
Generated Node #0,2,1: 88:[7, 7] Operation: 24-17=7
Exploring Operation: 24-7=17, Resulting Numbers: [17, 17]
Generated Node #0,2,2: 88:[17, 17] Operation: 24-7=17
Exploring Operation: 17+24=41, Resulting Numbers: [7, 41]
Generated Node #0,2,3: 88:[7, 41] Operation: 17+24=41
Exploring Operation: 17-7=10, Resulting Numbers: [24, 10]
Generated Node #0,2,4: 88:[24, 10] Operation: 17-7=10
Moving to Node #0,4
Current State: 88:[37, 7, 4], Operations: ['17-13=4']
Exploring Operation: 7-4=3, Resulting Numbers: [37, 3]
Generated Node #0,4,0: 88:[37, 3] Operation: 7-4=3
Exploring Operation: 7+4=11, Resulting Numbers: [37, 11]
Generated Node #0,4,1: 88:[37, 11] Operation: 7+4=11
Exploring Operation: 37+7=44, Resulting Numbers: [4, 44]
Generated Node #0,4,2: 88:[4, 44] Operation: 37+7=44
Exploring Operation: 37-7=30, Resulting Numbers: [4, 30]
Generated Node #0,4,3: 88:[4, 30] Operation: 37-7=30
Exploring Operation: 37+4=41, Resulting Numbers: [7, 41]
Generated Node #0,4,4: 88:[7, 41] Operation: 37+4=41
Moving to Node #0,3
Current State: 88:[13, 37, 10], Operations: ['17-7=10']
Exploring Operation: 13+37=50, Resulting Numbers: [10, 50]
Generated Node #0,3,0: 88:[10, 50] Operation: 13+37=50
Exploring Operation: 37+10=47, Resulting Numbers: [13, 47]
Generated Node #0,3,1: 88:[13, 47] Operation: 37+10=47
Exploring Operation: 37-13=24, Resulting Numbers: [10, 24]
Generated Node #0,3,2: 88:[10, 24] Operation: 37-13=24
Exploring Operation: 13+10=23, Resulting Numbers: [37, 23]
Generated Node #0,3,3: 88:[37, 23] Operation: 13+10=23
Exploring Operation: 37-10=27, Resulting Numbers: [13, 27]
Generated Node #0,3,4: 88:[13, 27] Operation: 37-10=27
Moving to Node #0,1,2
Current State: 88:[44, 4], Operations: ['37+7=44', '17-13=4']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,88 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Moving to Node #0,4,2
Current State: 88:[4, 44], Operations: ['17-13=4', '37+7=44']
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 4*44=176, Resulting Numbers: [176]
176,88 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[7, 7], Operations: ['37-13=24', '24-17=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Moving to Node #0,2,4
Current State: 88:[24, 10], Operations: ['37-13=24', '17-7=10']
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[10, 24], Operations: ['17-7=10', '37-13=24']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 10*24=240, Resulting Numbers: [240]
240,88 unequal: No Solution
Moving to Node #0,4,4
Current State: 88:[7, 41], Operations: ['17-13=4', '37+4=41']
Exploring Operation: 7*41=287, Resulting Numbers: [287]
287,88 unequal: No Solution
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[24, 24], Operations: ['37-13=24', '17+7=24']
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,88 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[7, 41], Operations: ['37-13=24', '17+24=41']
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 7*41=287, Resulting Numbers: [287]
287,88 unequal: No Solution
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[13, 47], Operations: ['17-7=10', '37+10=47']
Exploring Operation: 13+47=60, Resulting Numbers: [60]
60,88 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 13*47=611, Resulting Numbers: [611]
611,88 unequal: No Solution
Moving to Node #0,3,4
Current State: 88:[13, 27], Operations: ['17-7=10', '37-10=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,88 unequal: No Solution
Moving to Node #0,4,1
Current State: 88:[37, 11], Operations: ['17-13=4', '7+4=11']
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,88 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Moving to Node #0,1,4
Current State: 88:[13, 27], Operations: ['37+7=44', '44-17=27']
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,88 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[10, 50], Operations: ['17-7=10', '13+37=50']
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,88 unequal: No Solution
Exploring Operation: 10*50=500, Resulting Numbers: [500]
500,88 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 10+50=60, Resulting Numbers: [60]
60,88 unequal: No Solution
Moving to Node #0,4,3
Current State: 88:[4, 30], Operations: ['17-13=4', '37-7=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,88 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Moving to Node #0,1,3
Current State: 88:[44, 30], Operations: ['37+7=44', '13+17=30']
Exploring Operation: 44*30=1320, Resulting Numbers: [1320]
1320,88 unequal: No Solution
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,88 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[37, 23], Operations: ['17-7=10', '13+10=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,88 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,88 unequal: No Solution
Moving to Node #0,4,0
Current State: 88:[37, 3], Operations: ['17-13=4', '7-4=3']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,88 unequal: No Solution
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[17, 17], Operations: ['37-13=24', '24-7=17']
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 17/17=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Exploring Operation: 17*17=289, Resulting Numbers: [289]
289,88 unequal: No Solution
Exploring Operation: 17-17=0, Resulting Numbers: [0]
0,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[17, 31], Operations: ['37+7=44', '44-13=31']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,88 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[17, 57], Operations: ['37+7=44', '13+44=57']
Exploring Operation: 17*57=969, Resulting Numbers: [969]
969,88 unequal: No Solution
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,88 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,88 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
13,
5,
26,
59
] | 27 | [
"26/13=2",
"59-5=54",
"54/2=27"
] | Current State: 27:[13, 5, 26, 59], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [5, 59, 2]
Generated Node #2: [5, 59, 2] from Operation: 26/13=2
Current State: 27:[5, 59, 2], Operations: ['26/13=2']
Exploring Operation: 59-5=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 59-5=54
Current State: 27:[2, 54], Operations: ['26/13=2', '59-5=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[13, 5, 26, 59], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [13, 26, 54]
Generated Node #0,0: 27:[13, 26, 54] Operation: 59-5=54
Exploring Operation: 59-26=33, Resulting Numbers: [13, 5, 33]
Generated Node #0,1: 27:[13, 5, 33] Operation: 59-26=33
Exploring Operation: 26/13=2, Resulting Numbers: [5, 59, 2]
Generated Node #0,2: 27:[5, 59, 2] Operation: 26/13=2
Exploring Operation: 13-5=8, Resulting Numbers: [26, 59, 8]
Generated Node #0,3: 27:[26, 59, 8] Operation: 13-5=8
Exploring Operation: 59-13=46, Resulting Numbers: [5, 26, 46]
Generated Node #0,4: 27:[5, 26, 46] Operation: 59-13=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[13, 5, 33], Operations: ['59-26=33']
Exploring Operation: 33-13=20, Resulting Numbers: [5, 20]
Generated Node #0,1,0: 27:[5, 20] Operation: 33-13=20
Exploring Operation: 13+5=18, Resulting Numbers: [33, 18]
Generated Node #0,1,1: 27:[33, 18] Operation: 13+5=18
Exploring Operation: 5+33=38, Resulting Numbers: [13, 38]
Generated Node #0,1,2: 27:[13, 38] Operation: 5+33=38
Exploring Operation: 13-5=8, Resulting Numbers: [33, 8]
Generated Node #0,1,3: 27:[33, 8] Operation: 13-5=8
Exploring Operation: 33-5=28, Resulting Numbers: [13, 28]
Generated Node #0,1,4: 27:[13, 28] Operation: 33-5=28
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 27:[13, 28], Operations: ['59-26=33', '33-5=28']
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,27 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:[33, 8], Operations: ['59-26=33', '13-5=8']
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,27 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,27 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 #0,1,0
Current State: 27:[5, 20], Operations: ['59-26=33', '33-13=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,27 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:[33, 18], Operations: ['59-26=33', '13+5=18']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,27 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:[13, 38], Operations: ['59-26=33', '5+33=38']
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,27 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,27 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:[5, 26, 46], Operations: ['59-13=46']
Exploring Operation: 46-26=20, Resulting Numbers: [5, 20]
Generated Node #0,4,0: 27:[5, 20] Operation: 46-26=20
Exploring Operation: 5+46=51, Resulting Numbers: [26, 51]
Generated Node #0,4,1: 27:[26, 51] Operation: 5+46=51
Exploring Operation: 46-5=41, Resulting Numbers: [26, 41]
Generated Node #0,4,2: 27:[26, 41] Operation: 46-5=41
Exploring Operation: 5+26=31, Resulting Numbers: [46, 31]
Generated Node #0,4,3: 27:[46, 31] Operation: 5+26=31
Exploring Operation: 26-5=21, Resulting Numbers: [46, 21]
Generated Node #0,4,4: 27:[46, 21] Operation: 26-5=21
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 27:[5, 20], Operations: ['59-13=46', '46-26=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,27 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 #0,4,2
Current State: 27:[26, 41], Operations: ['59-13=46', '46-5=41']
Exploring Operation: 26*41=1066, Resulting Numbers: [1066]
1066,27 unequal: No Solution
Exploring Operation: 26+41=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,27 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 #0,4,3
Current State: 27:[46, 31], Operations: ['59-13=46', '5+26=31']
Exploring Operation: 46*31=1426, Resulting Numbers: [1426]
1426,27 unequal: No Solution
Exploring Operation: 46+31=77, Resulting Numbers: [77]
77,27 unequal: No Solution
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,27 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 #0,4,1
Current State: 27:[26, 51], Operations: ['59-13=46', '5+46=51']
Exploring Operation: 26*51=1326, Resulting Numbers: [1326]
1326,27 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 26+51=77, Resulting Numbers: [77]
77,27 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 #0,4,4
Current State: 27:[46, 21], Operations: ['59-13=46', '26-5=21']
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,27 unequal: No Solution
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,27 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 #0,0
Current State: 27:[13, 26, 54], Operations: ['59-5=54']
Exploring Operation: 26/13=2, Resulting Numbers: [54, 2]
Generated Node #0,0,0: 27:[54, 2] Operation: 26/13=2
Exploring Operation: 54-26=28, Resulting Numbers: [13, 28]
Generated Node #0,0,1: 27:[13, 28] Operation: 54-26=28
Exploring Operation: 54-13=41, Resulting Numbers: [26, 41]
Generated Node #0,0,2: 27:[26, 41] Operation: 54-13=41
Exploring Operation: 13+26=39, Resulting Numbers: [54, 39]
Generated Node #0,0,3: 27:[54, 39] Operation: 13+26=39
Exploring Operation: 26-13=13, Resulting Numbers: [54, 13]
Generated Node #0,0,4: 27:[54, 13] Operation: 26-13=13
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 27:[13, 28], Operations: ['59-5=54', '54-26=28']
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,27 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,27 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 #0,0,2
Current State: 27:[26, 41], Operations: ['59-5=54', '54-13=41']
Exploring Operation: 26+41=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Exploring Operation: 26*41=1066, Resulting Numbers: [1066]
1066,27 unequal: No Solution
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,27 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 #0,0,0
Current State: 27:[54, 2], Operations: ['59-5=54', '26/13=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[13, 5, 26, 59], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [13, 26, 54]
Generated Node #0,0: 27:[13, 26, 54] Operation: 59-5=54
Moving to Node #0,0
Current State: 27:[13, 26, 54], Operations: ['59-5=54']
Exploring Operation: 26/13=2, Resulting Numbers: [54, 2]
Generated Node #0,0,0: 27:[54, 2] Operation: 26/13=2
Moving to Node #0,0,0
Current State: 27:[54, 2], Operations: ['59-5=54', '26/13=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.945313 | hs_5 | sum_heuristic |
[
70,
29,
7,
4
] | 35 | [
"70/7=10",
"29-4=25",
"10+25=35"
] | Current State: 35:[70, 29, 7, 4], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [29, 4, 10]
Generated Node #2: [29, 4, 10] from Operation: 70/7=10
Current State: 35:[29, 4, 10], Operations: ['70/7=10']
Exploring Operation: 29-4=25, Resulting Numbers: [10, 25]
Generated Node #3: [10, 25] from Operation: 29-4=25
Current State: 35:[10, 25], Operations: ['70/7=10', '29-4=25']
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[70, 29, 7, 4], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [29, 4, 10]
Generated Node #0,0: 35:[29, 4, 10] Operation: 70/7=10
Exploring Operation: 70-7=63, Resulting Numbers: [29, 4, 63]
Generated Node #0,1: 35:[29, 4, 63] Operation: 70-7=63
Exploring Operation: 70-29=41, Resulting Numbers: [7, 4, 41]
Generated Node #0,2: 35:[7, 4, 41] Operation: 70-29=41
Moving to Node #0,2
Current State: 35:[7, 4, 41], Operations: ['70-29=41']
Exploring Operation: 7-4=3, Resulting Numbers: [41, 3]
Generated Node #0,2,0: 35:[41, 3] Operation: 7-4=3
Exploring Operation: 41-4=37, Resulting Numbers: [7, 37]
Generated Node #0,2,1: 35:[7, 37] Operation: 41-4=37
Exploring Operation: 41-7=34, Resulting Numbers: [4, 34]
Generated Node #0,2,2: 35:[4, 34] Operation: 41-7=34
Moving to Node #0,0
Current State: 35:[29, 4, 10], Operations: ['70/7=10']
Exploring Operation: 10-4=6, Resulting Numbers: [29, 6]
Generated Node #0,0,0: 35:[29, 6] Operation: 10-4=6
Exploring Operation: 29+10=39, Resulting Numbers: [4, 39]
Generated Node #0,0,1: 35:[4, 39] Operation: 29+10=39
Exploring Operation: 29+4=33, Resulting Numbers: [10, 33]
Generated Node #0,0,2: 35:[10, 33] Operation: 29+4=33
Moving to Node #0,1
Current State: 35:[29, 4, 63], Operations: ['70-7=63']
Exploring Operation: 63-29=34, Resulting Numbers: [4, 34]
Generated Node #0,1,0: 35:[4, 34] Operation: 63-29=34
Exploring Operation: 29+4=33, Resulting Numbers: [63, 33]
Generated Node #0,1,1: 35:[63, 33] Operation: 29+4=33
Exploring Operation: 63-4=59, Resulting Numbers: [29, 59]
Generated Node #0,1,2: 35:[29, 59] Operation: 63-4=59
Moving to Node #0,2,1
Current State: 35:[7, 37], Operations: ['70-29=41', '41-4=37']
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,35 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[4, 34], Operations: ['70-7=63', '63-29=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,35 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[4, 34], Operations: ['70-29=41', '41-7=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,35 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[10, 33], Operations: ['70/7=10', '29+4=33']
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,35 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[4, 39], Operations: ['70/7=10', '29+10=39']
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,35 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[70, 29, 7, 4], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [29, 4, 10]
Generated Node #0,0: 35:[29, 4, 10] Operation: 70/7=10
Moving to Node #0,0
Current State: 35:[29, 4, 10], Operations: ['70/7=10']
Exploring Operation: 29+10=39, Resulting Numbers: [4, 39]
Generated Node #0,0,1: 35:[4, 39] Operation: 29+10=39
Moving to Node #0,0,1
Current State: 35:[4, 39], Operations: ['70/7=10', '29+10=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.973958 | hs_3 | mult_heuristic |
[
90,
93,
81,
35
] | 33 | [
"90*35=3150",
"3150-81=3069",
"3069/93=33"
] | Current State: 33:[90, 93, 81, 35], Operations: []
Exploring Operation: 90*35=3150, Resulting Numbers: [93, 81, 3150]
Generated Node #2: [93, 81, 3150] from Operation: 90*35=3150
Current State: 33:[93, 81, 3150], Operations: ['90*35=3150']
Exploring Operation: 3150-81=3069, Resulting Numbers: [93, 3069]
Generated Node #3: [93, 3069] from Operation: 3150-81=3069
Current State: 33:[93, 3069], Operations: ['90*35=3150', '3150-81=3069']
Exploring Operation: 3069/93=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[90, 93, 81, 35], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [81, 35, 3]
Generated Node #0,0: 33:[81, 35, 3] Operation: 93-90=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[81, 35, 3], Operations: ['93-90=3']
Exploring Operation: 81/3=27, Resulting Numbers: [35, 27]
Generated Node #0,0,0: 33:[35, 27] Operation: 81/3=27
Moving to Node #0,0,0
Current State: 33:[35, 27], Operations: ['93-90=3', '81/3=27']
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,33 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 |
[
41,
36,
46,
30
] | 15 | [
"41*30=1230",
"36+46=82",
"1230/82=15"
] | Current State: 15:[41, 36, 46, 30], Operations: []
Exploring Operation: 41*30=1230, Resulting Numbers: [36, 46, 1230]
Generated Node #2: [36, 46, 1230] from Operation: 41*30=1230
Current State: 15:[36, 46, 1230], Operations: ['41*30=1230']
Exploring Operation: 36+46=82, Resulting Numbers: [1230, 82]
Generated Node #3: [1230, 82] from Operation: 36+46=82
Current State: 15:[1230, 82], Operations: ['41*30=1230', '36+46=82']
Exploring Operation: 1230/82=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[41, 36, 46, 30], Operations: []
Exploring Operation: 46-36=10, Resulting Numbers: [41, 30, 10]
Generated Node #0,0: 15:[41, 30, 10] Operation: 46-36=10
Exploring Operation: 41-36=5, Resulting Numbers: [46, 30, 5]
Generated Node #0,1: 15:[46, 30, 5] Operation: 41-36=5
Exploring Operation: 46-41=5, Resulting Numbers: [36, 30, 5]
Generated Node #0,2: 15:[36, 30, 5] Operation: 46-41=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[36, 30, 5], Operations: ['46-41=5']
Exploring Operation: 30/5=6, Resulting Numbers: [36, 6]
Generated Node #0,2,0: 15:[36, 6] Operation: 30/5=6
Exploring Operation: 36-5=31, Resulting Numbers: [30, 31]
Generated Node #0,2,1: 15:[30, 31] Operation: 36-5=31
Exploring Operation: 36-30=6, Resulting Numbers: [5, 6]
Generated Node #0,2,2: 15:[5, 6] Operation: 36-30=6
Moving to Node #0,2,2
Current State: 15:[5, 6], Operations: ['46-41=5', '36-30=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[36, 6], Operations: ['46-41=5', '30/5=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[30, 31], Operations: ['46-41=5', '36-5=31']
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,15 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,15 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 #0,0
Current State: 15:[41, 30, 10], Operations: ['46-36=10']
Exploring Operation: 41-30=11, Resulting Numbers: [10, 11]
Generated Node #0,0,0: 15:[10, 11] Operation: 41-30=11
Exploring Operation: 41-10=31, Resulting Numbers: [30, 31]
Generated Node #0,0,1: 15:[30, 31] Operation: 41-10=31
Exploring Operation: 30/10=3, Resulting Numbers: [41, 3]
Generated Node #0,0,2: 15:[41, 3] Operation: 30/10=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[10, 11], Operations: ['46-36=10', '41-30=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,15 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 #0,0,2
Current State: 15:[41, 3], Operations: ['46-36=10', '30/10=3']
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,15 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,15 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 #0,0,1
Current State: 15:[30, 31], Operations: ['46-36=10', '41-10=31']
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,15 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,15 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 #0,1
Current State: 15:[46, 30, 5], Operations: ['41-36=5']
Exploring Operation: 30/5=6, Resulting Numbers: [46, 6]
Generated Node #0,1,0: 15:[46, 6] Operation: 30/5=6
Exploring Operation: 46-30=16, Resulting Numbers: [5, 16]
Generated Node #0,1,1: 15:[5, 16] Operation: 46-30=16
Exploring Operation: 46-5=41, Resulting Numbers: [30, 41]
Generated Node #0,1,2: 15:[30, 41] Operation: 46-5=41
Moving to Node #0,1,1
Current State: 15:[5, 16], Operations: ['41-36=5', '46-30=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,15 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[46, 6], Operations: ['41-36=5', '30/5=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[30, 41], Operations: ['41-36=5', '46-5=41']
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,15 unequal: No Solution
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
58,
42,
25,
37
] | 28 | [
"58-42=16",
"37-25=12",
"16+12=28"
] | Current State: 28:[58, 42, 25, 37], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [25, 37, 16]
Generated Node #2: [25, 37, 16] from Operation: 58-42=16
Current State: 28:[25, 37, 16], Operations: ['58-42=16']
Exploring Operation: 37-25=12, Resulting Numbers: [16, 12]
Generated Node #3: [16, 12] from Operation: 37-25=12
Current State: 28:[16, 12], Operations: ['58-42=16', '37-25=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[58, 42, 25, 37], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [25, 37, 16]
Generated Node #0,0: 28:[25, 37, 16] Operation: 58-42=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[25, 37, 16], Operations: ['58-42=16']
Exploring Operation: 37-25=12, Resulting Numbers: [16, 12]
Generated Node #0,0,0: 28:[16, 12] Operation: 37-25=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[16, 12], Operations: ['58-42=16', '37-25=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[58, 42, 25, 37], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [25, 37, 16]
Generated Node #0,0: 28:[25, 37, 16] Operation: 58-42=16
Moving to Node #0,0
Current State: 28:[25, 37, 16], Operations: ['58-42=16']
Exploring Operation: 37-25=12, Resulting Numbers: [16, 12]
Generated Node #0,0,0: 28:[16, 12] Operation: 37-25=12
Moving to Node #0,0,0
Current State: 28:[16, 12], Operations: ['58-42=16', '37-25=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
3,
42,
40,
65
] | 13 | [
"3+42=45",
"45-40=5",
"65/5=13"
] | Current State: 13:[3, 42, 40, 65], Operations: []
Exploring Operation: 3+42=45, Resulting Numbers: [40, 65, 45]
Generated Node #2: [40, 65, 45] from Operation: 3+42=45
Current State: 13:[40, 65, 45], Operations: ['3+42=45']
Exploring Operation: 45-40=5, Resulting Numbers: [65, 5]
Generated Node #3: [65, 5] from Operation: 45-40=5
Current State: 13:[65, 5], Operations: ['3+42=45', '45-40=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[3, 42, 40, 65], Operations: []
Exploring Operation: 65-40=25, Resulting Numbers: [3, 42, 25]
Generated Node #0,0: 13:[3, 42, 25] Operation: 65-40=25
Exploring Operation: 42-40=2, Resulting Numbers: [3, 65, 2]
Generated Node #0,1: 13:[3, 65, 2] Operation: 42-40=2
Exploring Operation: 65-42=23, Resulting Numbers: [3, 40, 23]
Generated Node #0,2: 13:[3, 40, 23] Operation: 65-42=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[3, 40, 23], Operations: ['65-42=23']
Exploring Operation: 23-3=20, Resulting Numbers: [40, 20]
Generated Node #0,2,0: 13:[40, 20] Operation: 23-3=20
Exploring Operation: 40-3=37, Resulting Numbers: [23, 37]
Generated Node #0,2,1: 13:[23, 37] Operation: 40-3=37
Exploring Operation: 40-23=17, Resulting Numbers: [3, 17]
Generated Node #0,2,2: 13:[3, 17] Operation: 40-23=17
Moving to Node #0,2,2
Current State: 13:[3, 17], Operations: ['65-42=23', '40-23=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[40, 20], Operations: ['65-42=23', '23-3=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 40+20=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[23, 37], Operations: ['65-42=23', '40-3=37']
Exploring Operation: 23*37=851, Resulting Numbers: [851]
851,13 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[3, 42, 25], Operations: ['65-40=25']
Exploring Operation: 42-3=39, Resulting Numbers: [25, 39]
Generated Node #0,0,0: 13:[25, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [25, 14]
Generated Node #0,0,1: 13:[25, 14] Operation: 42/3=14
Exploring Operation: 42-25=17, Resulting Numbers: [3, 17]
Generated Node #0,0,2: 13:[3, 17] Operation: 42-25=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[25, 14], Operations: ['65-40=25', '42/3=14']
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,13 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 13:[3, 17], Operations: ['65-40=25', '42-25=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[25, 39], Operations: ['65-40=25', '42-3=39']
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,13 unequal: No Solution
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[3, 65, 2], Operations: ['42-40=2']
Exploring Operation: 3*2=6, Resulting Numbers: [65, 6]
Generated Node #0,1,0: 13:[65, 6] Operation: 3*2=6
Exploring Operation: 65-3=62, Resulting Numbers: [2, 62]
Generated Node #0,1,1: 13:[2, 62] Operation: 65-3=62
Exploring Operation: 3+2=5, Resulting Numbers: [65, 5]
Generated Node #0,1,2: 13:[65, 5] Operation: 3+2=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 13:[65, 6], Operations: ['42-40=2', '3*2=6']
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,13 unequal: No Solution
Exploring Operation: 65*6=390, Resulting Numbers: [390]
390,13 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 13:[2, 62], Operations: ['42-40=2', '65-3=62']
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,13 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 13:[65, 5], Operations: ['42-40=2', '3+2=5']
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,13 unequal: No Solution
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[3, 42, 40, 65], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [3, 65, 2]
Generated Node #0,1: 13:[3, 65, 2] Operation: 42-40=2
Moving to Node #0,1
Current State: 13:[3, 65, 2], Operations: ['42-40=2']
Exploring Operation: 3+2=5, Resulting Numbers: [65, 5]
Generated Node #0,1,2: 13:[65, 5] Operation: 3+2=5
Moving to Node #0,1,2
Current State: 13:[65, 5], Operations: ['42-40=2', '3+2=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.963542 | hs_3 | sum_heuristic |
[
54,
45,
90,
23
] | 62 | [
"54-23=31",
"90/45=2",
"31*2=62"
] | Current State: 62:[54, 45, 90, 23], Operations: []
Exploring Operation: 54-23=31, Resulting Numbers: [45, 90, 31]
Generated Node #2: [45, 90, 31] from Operation: 54-23=31
Current State: 62:[45, 90, 31], Operations: ['54-23=31']
Exploring Operation: 90/45=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 90/45=2
Current State: 62:[31, 2], Operations: ['54-23=31', '90/45=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[54, 45, 90, 23], Operations: []
Exploring Operation: 90-23=67, Resulting Numbers: [54, 45, 67]
Generated Node #0,0: 62:[54, 45, 67] Operation: 90-23=67
Exploring Operation: 90-45=45, Resulting Numbers: [54, 23, 45]
Generated Node #0,1: 62:[54, 23, 45] Operation: 90-45=45
Exploring Operation: 54-23=31, Resulting Numbers: [45, 90, 31]
Generated Node #0,2: 62:[45, 90, 31] Operation: 54-23=31
Exploring Operation: 90-54=36, Resulting Numbers: [45, 23, 36]
Generated Node #0,3: 62:[45, 23, 36] Operation: 90-54=36
Exploring Operation: 90/45=2, Resulting Numbers: [54, 23, 2]
Generated Node #0,4: 62:[54, 23, 2] Operation: 90/45=2
Moving to Node #0,4
Current State: 62:[54, 23, 2], Operations: ['90/45=2']
Exploring Operation: 54+2=56, Resulting Numbers: [23, 56]
Generated Node #0,4,0: 62:[23, 56] Operation: 54+2=56
Exploring Operation: 54/2=27, Resulting Numbers: [23, 27]
Generated Node #0,4,1: 62:[23, 27] Operation: 54/2=27
Exploring Operation: 54-23=31, Resulting Numbers: [2, 31]
Generated Node #0,4,2: 62:[2, 31] Operation: 54-23=31
Exploring Operation: 23+2=25, Resulting Numbers: [54, 25]
Generated Node #0,4,3: 62:[54, 25] Operation: 23+2=25
Exploring Operation: 54+23=77, Resulting Numbers: [2, 77]
Generated Node #0,4,4: 62:[2, 77] Operation: 54+23=77
Moving to Node #0,3
Current State: 62:[45, 23, 36], Operations: ['90-54=36']
Exploring Operation: 36-23=13, Resulting Numbers: [45, 13]
Generated Node #0,3,0: 62:[45, 13] Operation: 36-23=13
Exploring Operation: 45-36=9, Resulting Numbers: [23, 9]
Generated Node #0,3,1: 62:[23, 9] Operation: 45-36=9
Exploring Operation: 23+36=59, Resulting Numbers: [45, 59]
Generated Node #0,3,2: 62:[45, 59] Operation: 23+36=59
Exploring Operation: 45+23=68, Resulting Numbers: [36, 68]
Generated Node #0,3,3: 62:[36, 68] Operation: 45+23=68
Exploring Operation: 45-23=22, Resulting Numbers: [36, 22]
Generated Node #0,3,4: 62:[36, 22] Operation: 45-23=22
Moving to Node #0,0
Current State: 62:[54, 45, 67], Operations: ['90-23=67']
Exploring Operation: 67-54=13, Resulting Numbers: [45, 13]
Generated Node #0,0,0: 62:[45, 13] Operation: 67-54=13
Exploring Operation: 45+67=112, Resulting Numbers: [54, 112]
Generated Node #0,0,1: 62:[54, 112] Operation: 45+67=112
Exploring Operation: 54+45=99, Resulting Numbers: [67, 99]
Generated Node #0,0,2: 62:[67, 99] Operation: 54+45=99
Exploring Operation: 54-45=9, Resulting Numbers: [67, 9]
Generated Node #0,0,3: 62:[67, 9] Operation: 54-45=9
Exploring Operation: 67-45=22, Resulting Numbers: [54, 22]
Generated Node #0,0,4: 62:[54, 22] Operation: 67-45=22
Moving to Node #0,1
Current State: 62:[54, 23, 45], Operations: ['90-45=45']
Exploring Operation: 45-23=22, Resulting Numbers: [54, 22]
Generated Node #0,1,0: 62:[54, 22] Operation: 45-23=22
Exploring Operation: 23+45=68, Resulting Numbers: [54, 68]
Generated Node #0,1,1: 62:[54, 68] Operation: 23+45=68
Exploring Operation: 54-45=9, Resulting Numbers: [23, 9]
Generated Node #0,1,2: 62:[23, 9] Operation: 54-45=9
Exploring Operation: 54-23=31, Resulting Numbers: [45, 31]
Generated Node #0,1,3: 62:[45, 31] Operation: 54-23=31
Exploring Operation: 54+23=77, Resulting Numbers: [45, 77]
Generated Node #0,1,4: 62:[45, 77] Operation: 54+23=77
Moving to Node #0,2
Current State: 62:[45, 90, 31], Operations: ['54-23=31']
Exploring Operation: 90/45=2, Resulting Numbers: [31, 2]
Generated Node #0,2,0: 62:[31, 2] Operation: 90/45=2
Exploring Operation: 90-31=59, Resulting Numbers: [45, 59]
Generated Node #0,2,1: 62:[45, 59] Operation: 90-31=59
Exploring Operation: 45+31=76, Resulting Numbers: [90, 76]
Generated Node #0,2,2: 62:[90, 76] Operation: 45+31=76
Exploring Operation: 45-31=14, Resulting Numbers: [90, 14]
Generated Node #0,2,3: 62:[90, 14] Operation: 45-31=14
Exploring Operation: 90-45=45, Resulting Numbers: [31, 45]
Generated Node #0,2,4: 62:[31, 45] Operation: 90-45=45
Moving to Node #0,4,2
Current State: 62:[2, 31], Operations: ['90/45=2', '54-23=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[54, 45, 90, 23], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [54, 23, 2]
Generated Node #0,4: 62:[54, 23, 2] Operation: 90/45=2
Moving to Node #0,4
Current State: 62:[54, 23, 2], Operations: ['90/45=2']
Exploring Operation: 54-23=31, Resulting Numbers: [2, 31]
Generated Node #0,4,2: 62:[2, 31] Operation: 54-23=31
Moving to Node #0,4,2
Current State: 62:[2, 31], Operations: ['90/45=2', '54-23=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.969618 | hs_5 | sum_heuristic |
[
46,
46,
11,
95
] | 33 | [
"46+46=92",
"95-92=3",
"11*3=33"
] | Current State: 33:[46, 46, 11, 95], Operations: []
Exploring Operation: 46+46=92, Resulting Numbers: [11, 95, 92]
Generated Node #2: [11, 95, 92] from Operation: 46+46=92
Current State: 33:[11, 95, 92], Operations: ['46+46=92']
Exploring Operation: 95-92=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 95-92=3
Current State: 33:[11, 3], Operations: ['46+46=92', '95-92=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[46, 46, 11, 95], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [46, 11, 49]
Generated Node #0,0: 33:[46, 11, 49] Operation: 95-46=49
Exploring Operation: 46/46=1, Resulting Numbers: [11, 95, 1]
Generated Node #0,1: 33:[11, 95, 1] Operation: 46/46=1
Exploring Operation: 46-46=0, Resulting Numbers: [11, 95, 0]
Generated Node #0,2: 33:[11, 95, 0] Operation: 46-46=0
Exploring Operation: 95-46=49, Resulting Numbers: [46, 11, 49]
Generated Node #0,3: 33:[46, 11, 49] Operation: 95-46=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[46, 11, 49], Operations: ['95-46=49']
Exploring Operation: 49-46=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 33:[11, 3] Operation: 49-46=3
Exploring Operation: 46+11=57, Resulting Numbers: [49, 57]
Generated Node #0,0,1: 33:[49, 57] Operation: 46+11=57
Exploring Operation: 49-11=38, Resulting Numbers: [46, 38]
Generated Node #0,0,2: 33:[46, 38] Operation: 49-11=38
Exploring Operation: 46-11=35, Resulting Numbers: [49, 35]
Generated Node #0,0,3: 33:[49, 35] Operation: 46-11=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[11, 3], Operations: ['95-46=49', '49-46=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[46, 46, 11, 95], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [46, 11, 49]
Generated Node #0,0: 33:[46, 11, 49] Operation: 95-46=49
Moving to Node #0,0
Current State: 33:[46, 11, 49], Operations: ['95-46=49']
Exploring Operation: 49-46=3, Resulting Numbers: [11, 3]
Generated Node #0,0,0: 33:[11, 3] Operation: 49-46=3
Moving to Node #0,0,0
Current State: 33:[11, 3], Operations: ['95-46=49', '49-46=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
2,
29,
65,
3
] | 89 | [
"29-2=27",
"65-3=62",
"27+62=89"
] | Current State: 89:[2, 29, 65, 3], Operations: []
Exploring Operation: 29-2=27, Resulting Numbers: [65, 3, 27]
Generated Node #2: [65, 3, 27] from Operation: 29-2=27
Current State: 89:[65, 3, 27], Operations: ['29-2=27']
Exploring Operation: 65-3=62, Resulting Numbers: [27, 62]
Generated Node #3: [27, 62] from Operation: 65-3=62
Current State: 89:[27, 62], Operations: ['29-2=27', '65-3=62']
Exploring Operation: 27+62=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[2, 29, 65, 3], Operations: []
Exploring Operation: 29*3=87, Resulting Numbers: [2, 65, 87]
Generated Node #0,0: 89:[2, 65, 87] Operation: 29*3=87
Exploring Operation: 2+29=31, Resulting Numbers: [65, 3, 31]
Generated Node #0,1: 89:[65, 3, 31] Operation: 2+29=31
Exploring Operation: 2*29=58, Resulting Numbers: [65, 3, 58]
Generated Node #0,2: 89:[65, 3, 58] Operation: 2*29=58
Exploring Operation: 2*3=6, Resulting Numbers: [29, 65, 6]
Generated Node #0,3: 89:[29, 65, 6] Operation: 2*3=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[2, 65, 87], Operations: ['29*3=87']
Exploring Operation: 2+87=89, Resulting Numbers: [65, 89]
Generated Node #0,0,0: 89:[65, 89] Operation: 2+87=89
Exploring Operation: 65-2=63, Resulting Numbers: [87, 63]
Generated Node #0,0,1: 89:[87, 63] Operation: 65-2=63
Exploring Operation: 87-2=85, Resulting Numbers: [65, 85]
Generated Node #0,0,2: 89:[65, 85] Operation: 87-2=85
Exploring Operation: 2+65=67, Resulting Numbers: [87, 67]
Generated Node #0,0,3: 89:[87, 67] Operation: 2+65=67
Moving to Node #0,0,0
Current State: 89:[65, 89], Operations: ['29*3=87', '2+87=89']
Exploring Operation: 65*89=5785, Resulting Numbers: [5785]
5785,89 unequal: No Solution
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 65+89=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[87, 67], Operations: ['29*3=87', '2+65=67']
Exploring Operation: 87+67=154, Resulting Numbers: [154]
154,89 unequal: No Solution
Exploring Operation: 87-67=20, Resulting Numbers: [20]
20,89 unequal: No Solution
Exploring Operation: 87*67=5829, Resulting Numbers: [5829]
5829,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[65, 85], Operations: ['29*3=87', '87-2=85']
Exploring Operation: 65+85=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Exploring Operation: 65*85=5525, Resulting Numbers: [5525]
5525,89 unequal: No Solution
Exploring Operation: 85-65=20, Resulting Numbers: [20]
20,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[87, 63], Operations: ['29*3=87', '65-2=63']
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 87+63=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Exploring Operation: 87*63=5481, Resulting Numbers: [5481]
5481,89 unequal: No Solution
No 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: 89:[65, 3, 58], Operations: ['2*29=58']
Exploring Operation: 58-3=55, Resulting Numbers: [65, 55]
Generated Node #0,2,0: 89:[65, 55] Operation: 58-3=55
Exploring Operation: 65+3=68, Resulting Numbers: [58, 68]
Generated Node #0,2,1: 89:[58, 68] Operation: 65+3=68
Exploring Operation: 3+58=61, Resulting Numbers: [65, 61]
Generated Node #0,2,2: 89:[65, 61] Operation: 3+58=61
Exploring Operation: 65-3=62, Resulting Numbers: [58, 62]
Generated Node #0,2,3: 89:[58, 62] Operation: 65-3=62
Moving to Node #0,2,1
Current State: 89:[58, 68], Operations: ['2*29=58', '65+3=68']
Exploring Operation: 58*68=3944, Resulting Numbers: [3944]
3944,89 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,89 unequal: No Solution
Exploring Operation: 58+68=126, Resulting Numbers: [126]
126,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[65, 61], Operations: ['2*29=58', '3+58=61']
Exploring Operation: 65*61=3965, Resulting Numbers: [3965]
3965,89 unequal: No Solution
Exploring Operation: 65-61=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 65+61=126, Resulting Numbers: [126]
126,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[58, 62], Operations: ['2*29=58', '65-3=62']
Exploring Operation: 58*62=3596, Resulting Numbers: [3596]
3596,89 unequal: No Solution
Exploring Operation: 62-58=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 58+62=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[65, 55], Operations: ['2*29=58', '58-3=55']
Exploring Operation: 65*55=3575, Resulting Numbers: [3575]
3575,89 unequal: No Solution
Exploring Operation: 65+55=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,89 unequal: No Solution
No 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: 89:[29, 65, 6], Operations: ['2*3=6']
Exploring Operation: 29+65=94, Resulting Numbers: [6, 94]
Generated Node #0,3,0: 89:[6, 94] Operation: 29+65=94
Exploring Operation: 29-6=23, Resulting Numbers: [65, 23]
Generated Node #0,3,1: 89:[65, 23] Operation: 29-6=23
Exploring Operation: 65+6=71, Resulting Numbers: [29, 71]
Generated Node #0,3,2: 89:[29, 71] Operation: 65+6=71
Exploring Operation: 29+6=35, Resulting Numbers: [65, 35]
Generated Node #0,3,3: 89:[65, 35] Operation: 29+6=35
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 89:[29, 71], Operations: ['2*3=6', '65+6=71']
Exploring Operation: 29+71=100, Resulting Numbers: [100]
100,89 unequal: No Solution
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 29*71=2059, Resulting Numbers: [2059]
2059,89 unequal: No Solution
No 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: 89:[65, 35], Operations: ['2*3=6', '29+6=35']
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,89 unequal: No Solution
Exploring Operation: 65*35=2275, Resulting Numbers: [2275]
2275,89 unequal: No Solution
Exploring Operation: 65+35=100, Resulting Numbers: [100]
100,89 unequal: No Solution
No 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: 89:[6, 94], Operations: ['2*3=6', '29+65=94']
Exploring Operation: 6*94=564, Resulting Numbers: [564]
564,89 unequal: No Solution
Exploring Operation: 6+94=100, Resulting Numbers: [100]
100,89 unequal: No Solution
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,89 unequal: No Solution
No 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: 89:[65, 23], Operations: ['2*3=6', '29-6=23']
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,89 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,89 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: 89:[65, 3, 31], Operations: ['2+29=31']
Exploring Operation: 3+31=34, Resulting Numbers: [65, 34]
Generated Node #0,1,0: 89:[65, 34] Operation: 3+31=34
Exploring Operation: 3*31=93, Resulting Numbers: [65, 93]
Generated Node #0,1,1: 89:[65, 93] Operation: 3*31=93
Exploring Operation: 65+3=68, Resulting Numbers: [31, 68]
Generated Node #0,1,2: 89:[31, 68] Operation: 65+3=68
Exploring Operation: 65-3=62, Resulting Numbers: [31, 62]
Generated Node #0,1,3: 89:[31, 62] Operation: 65-3=62
Moving to Node #0,1,1
Current State: 89:[65, 93], Operations: ['2+29=31', '3*31=93']
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,89 unequal: No Solution
Exploring Operation: 65+93=158, Resulting Numbers: [158]
158,89 unequal: No Solution
Exploring Operation: 65*93=6045, Resulting Numbers: [6045]
6045,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[31, 68], Operations: ['2+29=31', '65+3=68']
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,89 unequal: No Solution
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,89 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[65, 34], Operations: ['2+29=31', '3+31=34']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 65*34=2210, Resulting Numbers: [2210]
2210,89 unequal: No Solution
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[31, 62], Operations: ['2+29=31', '65-3=62']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 31*62=1922, Resulting Numbers: [1922]
1922,89 unequal: No Solution
Exploring Operation: 31+62=93, Resulting Numbers: [93]
93,89 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,89 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 |
[
82,
61,
24,
78
] | 89 | [
"82+61=143",
"78-24=54",
"143-54=89"
] | Current State: 89:[82, 61, 24, 78], Operations: []
Exploring Operation: 82+61=143, Resulting Numbers: [24, 78, 143]
Generated Node #2: [24, 78, 143] from Operation: 82+61=143
Current State: 89:[24, 78, 143], Operations: ['82+61=143']
Exploring Operation: 78-24=54, Resulting Numbers: [143, 54]
Generated Node #3: [143, 54] from Operation: 78-24=54
Current State: 89:[143, 54], Operations: ['82+61=143', '78-24=54']
Exploring Operation: 143-54=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[82, 61, 24, 78], Operations: []
Exploring Operation: 61+24=85, Resulting Numbers: [82, 78, 85]
Generated Node #0,0: 89:[82, 78, 85] Operation: 61+24=85
Exploring Operation: 24+78=102, Resulting Numbers: [82, 61, 102]
Generated Node #0,1: 89:[82, 61, 102] Operation: 24+78=102
Moving to Node #0,0
Current State: 89:[82, 78, 85], Operations: ['61+24=85']
Exploring Operation: 78+85=163, Resulting Numbers: [82, 163]
Generated Node #0,0,0: 89:[82, 163] Operation: 78+85=163
Exploring Operation: 82+78=160, Resulting Numbers: [85, 160]
Generated Node #0,0,1: 89:[85, 160] Operation: 82+78=160
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[85, 160], Operations: ['61+24=85', '82+78=160']
Exploring Operation: 160-85=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 85+160=245, Resulting Numbers: [245]
245,89 unequal: No Solution
No 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: 89:[82, 163], Operations: ['61+24=85', '78+85=163']
Exploring Operation: 82+163=245, Resulting Numbers: [245]
245,89 unequal: No Solution
Exploring Operation: 163-82=81, Resulting Numbers: [81]
81,89 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: 89:[82, 61, 102], Operations: ['24+78=102']
Exploring Operation: 82+61=143, Resulting Numbers: [102, 143]
Generated Node #0,1,0: 89:[102, 143] Operation: 82+61=143
Exploring Operation: 102-61=41, Resulting Numbers: [82, 41]
Generated Node #0,1,1: 89:[82, 41] Operation: 102-61=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[82, 41], Operations: ['24+78=102', '102-61=41']
Exploring Operation: 82+41=123, Resulting Numbers: [123]
123,89 unequal: No Solution
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,89 unequal: No Solution
No 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: 89:[102, 143], Operations: ['24+78=102', '82+61=143']
Exploring Operation: 102+143=245, Resulting Numbers: [245]
245,89 unequal: No Solution
Exploring Operation: 143-102=41, Resulting Numbers: [41]
41,89 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 |
[
22,
2,
18,
97
] | 17 | [
"22+18=40",
"2*40=80",
"97-80=17"
] | Current State: 17:[22, 2, 18, 97], Operations: []
Exploring Operation: 22+18=40, Resulting Numbers: [2, 97, 40]
Generated Node #2: [2, 97, 40] from Operation: 22+18=40
Current State: 17:[2, 97, 40], Operations: ['22+18=40']
Exploring Operation: 2*40=80, Resulting Numbers: [97, 80]
Generated Node #3: [97, 80] from Operation: 2*40=80
Current State: 17:[97, 80], Operations: ['22+18=40', '2*40=80']
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[22, 2, 18, 97], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [18, 97, 20]
Generated Node #0,0: 17:[18, 97, 20] Operation: 22-2=20
Exploring Operation: 97-18=79, Resulting Numbers: [22, 2, 79]
Generated Node #0,1: 17:[22, 2, 79] Operation: 97-18=79
Exploring Operation: 97-22=75, Resulting Numbers: [2, 18, 75]
Generated Node #0,2: 17:[2, 18, 75] Operation: 97-22=75
Moving to Node #0,2
Current State: 17:[2, 18, 75], Operations: ['97-22=75']
Exploring Operation: 18-2=16, Resulting Numbers: [75, 16]
Generated Node #0,2,0: 17:[75, 16] Operation: 18-2=16
Exploring Operation: 75-18=57, Resulting Numbers: [2, 57]
Generated Node #0,2,1: 17:[2, 57] Operation: 75-18=57
Exploring Operation: 75-2=73, Resulting Numbers: [18, 73]
Generated Node #0,2,2: 17:[18, 73] Operation: 75-2=73
Moving to Node #0,1
Current State: 17:[22, 2, 79], Operations: ['97-18=79']
Exploring Operation: 79-2=77, Resulting Numbers: [22, 77]
Generated Node #0,1,0: 17:[22, 77] Operation: 79-2=77
Exploring Operation: 22-2=20, Resulting Numbers: [79, 20]
Generated Node #0,1,1: 17:[79, 20] Operation: 22-2=20
Exploring Operation: 79-22=57, Resulting Numbers: [2, 57]
Generated Node #0,1,2: 17:[2, 57] Operation: 79-22=57
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[2, 57], Operations: ['97-18=79', '79-22=57']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,17 unequal: No Solution
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[22, 77], Operations: ['97-18=79', '79-2=77']
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,17 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 22*77=1694, Resulting Numbers: [1694]
1694,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[79, 20], Operations: ['97-18=79', '22-2=20']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,17 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,17 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 17:[18, 97, 20], Operations: ['22-2=20']
Exploring Operation: 20-18=2, Resulting Numbers: [97, 2]
Generated Node #0,0,0: 17:[97, 2] Operation: 20-18=2
Exploring Operation: 97-18=79, Resulting Numbers: [20, 79]
Generated Node #0,0,1: 17:[20, 79] Operation: 97-18=79
Exploring Operation: 97-20=77, Resulting Numbers: [18, 77]
Generated Node #0,0,2: 17:[18, 77] Operation: 97-20=77
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 17:[18, 77], Operations: ['22-2=20', '97-20=77']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,17 unequal: No Solution
Exploring Operation: 18*77=1386, Resulting Numbers: [1386]
1386,17 unequal: No Solution
Exploring Operation: 18+77=95, Resulting Numbers: [95]
95,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[20, 79], Operations: ['22-2=20', '97-18=79']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,17 unequal: No Solution
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,17 unequal: No Solution
Exploring Operation: 20*79=1580, Resulting Numbers: [1580]
1580,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[97, 2], Operations: ['22-2=20', '20-18=2']
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,17 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,17 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,17 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: 17:[2, 57], Operations: ['97-22=75', '75-18=57']
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,17 unequal: No Solution
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,17 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[18, 73], Operations: ['97-22=75', '75-2=73']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,17 unequal: No Solution
Exploring Operation: 18*73=1314, Resulting Numbers: [1314]
1314,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[75, 16], Operations: ['97-22=75', '18-2=16']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,17 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,17 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,17 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
97,
3,
1,
54
] | 78 | [
"97-1=96",
"54/3=18",
"96-18=78"
] | Current State: 78:[97, 3, 1, 54], Operations: []
Exploring Operation: 97-1=96, Resulting Numbers: [3, 54, 96]
Generated Node #2: [3, 54, 96] from Operation: 97-1=96
Current State: 78:[3, 54, 96], Operations: ['97-1=96']
Exploring Operation: 54/3=18, Resulting Numbers: [96, 18]
Generated Node #3: [96, 18] from Operation: 54/3=18
Current State: 78:[96, 18], Operations: ['97-1=96', '54/3=18']
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[97, 3, 1, 54], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [97, 1, 18]
Generated Node #0,0: 78:[97, 1, 18] Operation: 54/3=18
Exploring Operation: 97-54=43, Resulting Numbers: [3, 1, 43]
Generated Node #0,1: 78:[3, 1, 43] Operation: 97-54=43
Exploring Operation: 97-3=94, Resulting Numbers: [1, 54, 94]
Generated Node #0,2: 78:[1, 54, 94] Operation: 97-3=94
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[3, 1, 43], Operations: ['97-54=43']
Exploring Operation: 3*1=3, Resulting Numbers: [43, 3]
Generated Node #0,1,0: 78:[43, 3] Operation: 3*1=3
Exploring Operation: 43-3=40, Resulting Numbers: [1, 40]
Generated Node #0,1,1: 78:[1, 40] Operation: 43-3=40
Exploring Operation: 43-1=42, Resulting Numbers: [3, 42]
Generated Node #0,1,2: 78:[3, 42] Operation: 43-1=42
Moving to Node #0,1,1
Current State: 78:[1, 40], Operations: ['97-54=43', '43-3=40']
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[3, 42], Operations: ['97-54=43', '43-1=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[43, 3], Operations: ['97-54=43', '3*1=3']
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,78 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[97, 1, 18], Operations: ['54/3=18']
Exploring Operation: 18-1=17, Resulting Numbers: [97, 17]
Generated Node #0,0,0: 78:[97, 17] Operation: 18-1=17
Exploring Operation: 97-18=79, Resulting Numbers: [1, 79]
Generated Node #0,0,1: 78:[1, 79] Operation: 97-18=79
Exploring Operation: 97-1=96, Resulting Numbers: [18, 96]
Generated Node #0,0,2: 78:[18, 96] Operation: 97-1=96
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[1, 79], Operations: ['54/3=18', '97-18=79']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[97, 3, 1, 54], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [97, 1, 18]
Generated Node #0,0: 78:[97, 1, 18] Operation: 54/3=18
Moving to Node #0,0
Current State: 78:[97, 1, 18], Operations: ['54/3=18']
Exploring Operation: 97-18=79, Resulting Numbers: [1, 79]
Generated Node #0,0,1: 78:[1, 79] Operation: 97-18=79
Moving to Node #0,0,1
Current State: 78:[1, 79], Operations: ['54/3=18', '97-18=79']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
5,
38,
8,
73
] | 15 | [
"73-38=35",
"35/5=7",
"8+7=15"
] | Current State: 15:[5, 38, 8, 73], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [5, 8, 35]
Generated Node #2: [5, 8, 35] from Operation: 73-38=35
Current State: 15:[5, 8, 35], Operations: ['73-38=35']
Exploring Operation: 35/5=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 35/5=7
Current State: 15:[8, 7], Operations: ['73-38=35', '35/5=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[5, 38, 8, 73], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [5, 8, 35]
Generated Node #0,0: 15:[5, 8, 35] Operation: 73-38=35
Exploring Operation: 73-8=65, Resulting Numbers: [5, 38, 65]
Generated Node #0,1: 15:[5, 38, 65] Operation: 73-8=65
Exploring Operation: 38-5=33, Resulting Numbers: [8, 73, 33]
Generated Node #0,2: 15:[8, 73, 33] Operation: 38-5=33
Exploring Operation: 38-8=30, Resulting Numbers: [5, 73, 30]
Generated Node #0,3: 15:[5, 73, 30] Operation: 38-8=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[5, 8, 35], Operations: ['73-38=35']
Exploring Operation: 35-8=27, Resulting Numbers: [5, 27]
Generated Node #0,0,0: 15:[5, 27] Operation: 35-8=27
Exploring Operation: 8-5=3, Resulting Numbers: [35, 3]
Generated Node #0,0,1: 15:[35, 3] Operation: 8-5=3
Exploring Operation: 35/5=7, Resulting Numbers: [8, 7]
Generated Node #0,0,2: 15:[8, 7] Operation: 35/5=7
Exploring Operation: 35-5=30, Resulting Numbers: [8, 30]
Generated Node #0,0,3: 15:[8, 30] Operation: 35-5=30
Moving to Node #0,0,2
Current State: 15:[8, 7], Operations: ['73-38=35', '35/5=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[5, 38, 8, 73], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [5, 8, 35]
Generated Node #0,0: 15:[5, 8, 35] Operation: 73-38=35
Moving to Node #0,0
Current State: 15:[5, 8, 35], Operations: ['73-38=35']
Exploring Operation: 35/5=7, Resulting Numbers: [8, 7]
Generated Node #0,0,2: 15:[8, 7] Operation: 35/5=7
Moving to Node #0,0,2
Current State: 15:[8, 7], Operations: ['73-38=35', '35/5=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
69,
92,
37,
73
] | 27 | [
"73-37=36",
"69*36=2484",
"2484/92=27"
] | Current State: 27:[69, 92, 37, 73], Operations: []
Exploring Operation: 73-37=36, Resulting Numbers: [69, 92, 36]
Generated Node #2: [69, 92, 36] from Operation: 73-37=36
Current State: 27:[69, 92, 36], Operations: ['73-37=36']
Exploring Operation: 69*36=2484, Resulting Numbers: [92, 2484]
Generated Node #3: [92, 2484] from Operation: 69*36=2484
Current State: 27:[92, 2484], Operations: ['73-37=36', '69*36=2484']
Exploring Operation: 2484/92=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[69, 92, 37, 73], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [37, 73, 23]
Generated Node #0,0: 27:[37, 73, 23] Operation: 92-69=23
Exploring Operation: 92-73=19, Resulting Numbers: [69, 37, 19]
Generated Node #0,1: 27:[69, 37, 19] Operation: 92-73=19
Exploring Operation: 73-69=4, Resulting Numbers: [92, 37, 4]
Generated Node #0,2: 27:[92, 37, 4] Operation: 73-69=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[37, 73, 23], Operations: ['92-69=23']
Exploring Operation: 73-37=36, Resulting Numbers: [23, 36]
Generated Node #0,0,0: 27:[23, 36] Operation: 73-37=36
Exploring Operation: 37-23=14, Resulting Numbers: [73, 14]
Generated Node #0,0,1: 27:[73, 14] Operation: 37-23=14
Exploring Operation: 73-23=50, Resulting Numbers: [37, 50]
Generated Node #0,0,2: 27:[37, 50] Operation: 73-23=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[23, 36], Operations: ['92-69=23', '73-37=36']
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,27 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 #0,0,2
Current State: 27:[37, 50], Operations: ['92-69=23', '73-23=50']
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,27 unequal: No Solution
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,27 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 #0,0,1
Current State: 27:[73, 14], Operations: ['92-69=23', '37-23=14']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,27 unequal: No Solution
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,27 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 #0,1
Current State: 27:[69, 37, 19], Operations: ['92-73=19']
Exploring Operation: 69-19=50, Resulting Numbers: [37, 50]
Generated Node #0,1,0: 27:[37, 50] Operation: 69-19=50
Exploring Operation: 69-37=32, Resulting Numbers: [19, 32]
Generated Node #0,1,1: 27:[19, 32] Operation: 69-37=32
Exploring Operation: 37-19=18, Resulting Numbers: [69, 18]
Generated Node #0,1,2: 27:[69, 18] Operation: 37-19=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 27:[19, 32], Operations: ['92-73=19', '69-37=32']
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,27 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 #0,1,0
Current State: 27:[37, 50], Operations: ['92-73=19', '69-19=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,27 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,27 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:[69, 18], Operations: ['92-73=19', '37-19=18']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,27 unequal: No Solution
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,27 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 #0,2
Current State: 27:[92, 37, 4], Operations: ['73-69=4']
Exploring Operation: 92/4=23, Resulting Numbers: [37, 23]
Generated Node #0,2,0: 27:[37, 23] Operation: 92/4=23
Exploring Operation: 92-4=88, Resulting Numbers: [37, 88]
Generated Node #0,2,1: 27:[37, 88] Operation: 92-4=88
Exploring Operation: 92-37=55, Resulting Numbers: [4, 55]
Generated Node #0,2,2: 27:[4, 55] Operation: 92-37=55
Moving to Node #0,2,0
Current State: 27:[37, 23], Operations: ['73-69=4', '92/4=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,27 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,27 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[4, 55], Operations: ['73-69=4', '92-37=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,27 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[37, 88], Operations: ['73-69=4', '92-4=88']
Exploring Operation: 37*88=3256, Resulting Numbers: [3256]
3256,27 unequal: No Solution
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 37+88=125, Resulting Numbers: [125]
125,27 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 |
[
19,
22,
81,
23
] | 100 | [
"19+81=100",
"23-22=1",
"100*1=100"
] | Current State: 100:[19, 22, 81, 23], Operations: []
Exploring Operation: 19+81=100, Resulting Numbers: [22, 23, 100]
Generated Node #2: [22, 23, 100] from Operation: 19+81=100
Current State: 100:[22, 23, 100], Operations: ['19+81=100']
Exploring Operation: 23-22=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 23-22=1
Current State: 100:[100, 1], Operations: ['19+81=100', '23-22=1']
Exploring Operation: 100*1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[19, 22, 81, 23], Operations: []
Exploring Operation: 22+81=103, Resulting Numbers: [19, 23, 103]
Generated Node #0,0: 100:[19, 23, 103] Operation: 22+81=103
Exploring Operation: 19+81=100, Resulting Numbers: [22, 23, 100]
Generated Node #0,1: 100:[22, 23, 100] Operation: 19+81=100
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[22, 23, 100], Operations: ['19+81=100']
Exploring Operation: 22+23=45, Resulting Numbers: [100, 45]
Generated Node #0,1,0: 100:[100, 45] Operation: 22+23=45
Exploring Operation: 23-22=1, Resulting Numbers: [100, 1]
Generated Node #0,1,1: 100:[100, 1] Operation: 23-22=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[100, 1], Operations: ['19+81=100', '23-22=1']
Exploring Operation: 100*1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[19, 22, 81, 23], Operations: []
Exploring Operation: 19+81=100, Resulting Numbers: [22, 23, 100]
Generated Node #0,1: 100:[22, 23, 100] Operation: 19+81=100
Moving to Node #0,1
Current State: 100:[22, 23, 100], Operations: ['19+81=100']
Exploring Operation: 23-22=1, Resulting Numbers: [100, 1]
Generated Node #0,1,1: 100:[100, 1] Operation: 23-22=1
Moving to Node #0,1,1
Current State: 100:[100, 1], Operations: ['19+81=100', '23-22=1']
Exploring Operation: 100*1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
95,
34,
54,
34
] | 81 | [
"95-34=61",
"54-34=20",
"61+20=81"
] | Current State: 81:[95, 34, 54, 34], Operations: []
Exploring Operation: 95-34=61, Resulting Numbers: [54, 61]
Generated Node #2: [54, 61] from Operation: 95-34=61
Current State: 81:[54, 61], Operations: ['95-34=61']
Exploring Operation: 54-34=20, Resulting Numbers: [61, 20]
Generated Node #3: [61, 20] from Operation: 54-34=20
Current State: 81:[61, 20], Operations: ['95-34=61', '54-34=20']
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[95, 34, 54, 34], Operations: []
Exploring Operation: 34+54=88, Resulting Numbers: [95, 34, 88]
Generated Node #0,0: 81:[95, 34, 88] Operation: 34+54=88
Exploring Operation: 54-34=20, Resulting Numbers: [95, 34, 20]
Generated Node #0,1: 81:[95, 34, 20] Operation: 54-34=20
Exploring Operation: 95-54=41, Resulting Numbers: [34, 34, 41]
Generated Node #0,2: 81:[34, 34, 41] Operation: 95-54=41
Exploring Operation: 54+34=88, Resulting Numbers: [95, 34, 88]
Generated Node #0,3: 81:[95, 34, 88] Operation: 54+34=88
Exploring Operation: 54-34=20, Resulting Numbers: [95, 34, 20]
Generated Node #0,4: 81:[95, 34, 20] Operation: 54-34=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[95, 34, 88], Operations: ['34+54=88']
Exploring Operation: 95-88=7, Resulting Numbers: [34, 7]
Generated Node #0,0,0: 81:[34, 7] Operation: 95-88=7
Exploring Operation: 88-34=54, Resulting Numbers: [95, 54]
Generated Node #0,0,1: 81:[95, 54] Operation: 88-34=54
Exploring Operation: 34+88=122, Resulting Numbers: [95, 122]
Generated Node #0,0,2: 81:[95, 122] Operation: 34+88=122
Exploring Operation: 95-34=61, Resulting Numbers: [88, 61]
Generated Node #0,0,3: 81:[88, 61] Operation: 95-34=61
Exploring Operation: 95+34=129, Resulting Numbers: [88, 129]
Generated Node #0,0,4: 81:[88, 129] Operation: 95+34=129
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[34, 7], Operations: ['34+54=88', '95-88=7']
Exploring Operation: 34*7=238, Resulting Numbers: [238]
238,81 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 81:[88, 61], Operations: ['34+54=88', '95-34=61']
Exploring Operation: 88*61=5368, Resulting Numbers: [5368]
5368,81 unequal: No Solution
Exploring Operation: 88+61=149, Resulting Numbers: [149]
149,81 unequal: No Solution
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[95, 54], Operations: ['34+54=88', '88-34=54']
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,81 unequal: No Solution
Exploring Operation: 95*54=5130, Resulting Numbers: [5130]
5130,81 unequal: No Solution
Exploring Operation: 95+54=149, Resulting Numbers: [149]
149,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[95, 122], Operations: ['34+54=88', '34+88=122']
Exploring Operation: 95*122=11590, Resulting Numbers: [11590]
11590,81 unequal: No Solution
Exploring Operation: 95+122=217, Resulting Numbers: [217]
217,81 unequal: No Solution
Exploring Operation: 122-95=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 81:[88, 129], Operations: ['34+54=88', '95+34=129']
Exploring Operation: 88*129=11352, Resulting Numbers: [11352]
11352,81 unequal: No Solution
Exploring Operation: 88+129=217, Resulting Numbers: [217]
217,81 unequal: No Solution
Exploring Operation: 129-88=41, Resulting Numbers: [41]
41,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[95, 34, 20], Operations: ['54-34=20']
Exploring Operation: 95-34=61, Resulting Numbers: [20, 61]
Generated Node #0,1,0: 81:[20, 61] Operation: 95-34=61
Exploring Operation: 95+20=115, Resulting Numbers: [34, 115]
Generated Node #0,1,1: 81:[34, 115] Operation: 95+20=115
Exploring Operation: 95-20=75, Resulting Numbers: [34, 75]
Generated Node #0,1,2: 81:[34, 75] Operation: 95-20=75
Exploring Operation: 34+20=54, Resulting Numbers: [95, 54]
Generated Node #0,1,3: 81:[95, 54] Operation: 34+20=54
Exploring Operation: 34-20=14, Resulting Numbers: [95, 14]
Generated Node #0,1,4: 81:[95, 14] Operation: 34-20=14
Moving to Node #0,1,2
Current State: 81:[34, 75], Operations: ['54-34=20', '95-20=75']
Exploring Operation: 34+75=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Exploring Operation: 34*75=2550, Resulting Numbers: [2550]
2550,81 unequal: No Solution
Exploring Operation: 75-34=41, Resulting Numbers: [41]
41,81 unequal: No Solution
Moving to Node #0,1,4
Current State: 81:[95, 14], Operations: ['54-34=20', '34-20=14']
Exploring Operation: 95*14=1330, Resulting Numbers: [1330]
1330,81 unequal: No Solution
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[95, 34, 54, 34], Operations: []
Exploring Operation: 54-34=20, Resulting Numbers: [95, 34, 20]
Generated Node #0,1: 81:[95, 34, 20] Operation: 54-34=20
Moving to Node #0,1
Current State: 81:[95, 34, 20], Operations: ['54-34=20']
Exploring Operation: 34-20=14, Resulting Numbers: [95, 14]
Generated Node #0,1,4: 81:[95, 14] Operation: 34-20=14
Moving to Node #0,1,4
Current State: 81:[95, 14], Operations: ['54-34=20', '34-20=14']
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
27,
14,
54,
49
] | 61 | [
"54/27=2",
"14+49=63",
"63-2=61"
] | Current State: 61:[27, 14, 54, 49], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [14, 49, 2]
Generated Node #2: [14, 49, 2] from Operation: 54/27=2
Current State: 61:[14, 49, 2], Operations: ['54/27=2']
Exploring Operation: 14+49=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 14+49=63
Current State: 61:[2, 63], Operations: ['54/27=2', '14+49=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[27, 14, 54, 49], Operations: []
Exploring Operation: 14+49=63, Resulting Numbers: [27, 54, 63]
Generated Node #0,0: 61:[27, 54, 63] Operation: 14+49=63
Exploring Operation: 27+14=41, Resulting Numbers: [54, 49, 41]
Generated Node #0,1: 61:[54, 49, 41] Operation: 27+14=41
Moving to Node #0,1
Current State: 61:[54, 49, 41], Operations: ['27+14=41']
Exploring Operation: 49+41=90, Resulting Numbers: [54, 90]
Generated Node #0,1,0: 61:[54, 90] Operation: 49+41=90
Exploring Operation: 54+41=95, Resulting Numbers: [49, 95]
Generated Node #0,1,1: 61:[49, 95] Operation: 54+41=95
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[54, 90], Operations: ['27+14=41', '49+41=90']
Exploring Operation: 54+90=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,61 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 #0,1,1
Current State: 61:[49, 95], Operations: ['27+14=41', '54+41=95']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 49+95=144, Resulting Numbers: [144]
144,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 61:[27, 54, 63], Operations: ['14+49=63']
Exploring Operation: 27+54=81, Resulting Numbers: [63, 81]
Generated Node #0,0,0: 61:[63, 81] Operation: 27+54=81
Exploring Operation: 63-27=36, Resulting Numbers: [54, 36]
Generated Node #0,0,1: 61:[54, 36] Operation: 63-27=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[63, 81], Operations: ['14+49=63', '27+54=81']
Exploring Operation: 63+81=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[54, 36], Operations: ['14+49=63', '63-27=36']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,61 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 |
[
14,
6,
21,
82
] | 58 | [
"82-14=68",
"6*21=126",
"126-68=58"
] | Current State: 58:[14, 6, 21, 82], Operations: []
Exploring Operation: 82-14=68, Resulting Numbers: [6, 21, 68]
Generated Node #2: [6, 21, 68] from Operation: 82-14=68
Current State: 58:[6, 21, 68], Operations: ['82-14=68']
Exploring Operation: 6*21=126, Resulting Numbers: [68, 126]
Generated Node #3: [68, 126] from Operation: 6*21=126
Current State: 58:[68, 126], Operations: ['82-14=68', '6*21=126']
Exploring Operation: 126-68=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[14, 6, 21, 82], Operations: []
Exploring Operation: 14+21=35, Resulting Numbers: [6, 82, 35]
Generated Node #0,0: 58:[6, 82, 35] Operation: 14+21=35
Exploring Operation: 82-21=61, Resulting Numbers: [14, 6, 61]
Generated Node #0,1: 58:[14, 6, 61] Operation: 82-21=61
Exploring Operation: 82-14=68, Resulting Numbers: [6, 21, 68]
Generated Node #0,2: 58:[6, 21, 68] Operation: 82-14=68
Exploring Operation: 21-14=7, Resulting Numbers: [6, 82, 7]
Generated Node #0,3: 58:[6, 82, 7] Operation: 21-14=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[14, 6, 61], Operations: ['82-21=61']
Exploring Operation: 61-6=55, Resulting Numbers: [14, 55]
Generated Node #0,1,0: 58:[14, 55] Operation: 61-6=55
Exploring Operation: 14-6=8, Resulting Numbers: [61, 8]
Generated Node #0,1,1: 58:[61, 8] Operation: 14-6=8
Exploring Operation: 61-14=47, Resulting Numbers: [6, 47]
Generated Node #0,1,2: 58:[6, 47] Operation: 61-14=47
Exploring Operation: 14+6=20, Resulting Numbers: [61, 20]
Generated Node #0,1,3: 58:[61, 20] Operation: 14+6=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[61, 8], Operations: ['82-21=61', '14-6=8']
Exploring Operation: 61*8=488, Resulting Numbers: [488]
488,58 unequal: No Solution
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 58:[61, 20], Operations: ['82-21=61', '14+6=20']
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,58 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[14, 55], Operations: ['82-21=61', '61-6=55']
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 14*55=770, Resulting Numbers: [770]
770,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 58:[6, 47], Operations: ['82-21=61', '61-14=47']
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,58 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,58 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[6, 21, 68], Operations: ['82-14=68']
Exploring Operation: 68-6=62, Resulting Numbers: [21, 62]
Generated Node #0,2,0: 58:[21, 62] Operation: 68-6=62
Exploring Operation: 21-6=15, Resulting Numbers: [68, 15]
Generated Node #0,2,1: 58:[68, 15] Operation: 21-6=15
Exploring Operation: 68-21=47, Resulting Numbers: [6, 47]
Generated Node #0,2,2: 58:[6, 47] Operation: 68-21=47
Exploring Operation: 6+21=27, Resulting Numbers: [68, 27]
Generated Node #0,2,3: 58:[68, 27] Operation: 6+21=27
Moving to Node #0,2,0
Current State: 58:[21, 62], Operations: ['82-14=68', '68-6=62']
Exploring Operation: 21+62=83, Resulting Numbers: [83]
83,58 unequal: No Solution
Exploring Operation: 21*62=1302, Resulting Numbers: [1302]
1302,58 unequal: No Solution
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[68, 27], Operations: ['82-14=68', '6+21=27']
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,58 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[6, 47], Operations: ['82-14=68', '68-21=47']
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,58 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[68, 15], Operations: ['82-14=68', '21-6=15']
Exploring Operation: 68*15=1020, Resulting Numbers: [1020]
1020,58 unequal: No Solution
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,58 unequal: No Solution
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[6, 82, 7], Operations: ['21-14=7']
Exploring Operation: 82-6=76, Resulting Numbers: [7, 76]
Generated Node #0,3,0: 58:[7, 76] Operation: 82-6=76
Exploring Operation: 6+82=88, Resulting Numbers: [7, 88]
Generated Node #0,3,1: 58:[7, 88] Operation: 6+82=88
Exploring Operation: 7-6=1, Resulting Numbers: [82, 1]
Generated Node #0,3,2: 58:[82, 1] Operation: 7-6=1
Exploring Operation: 82-7=75, Resulting Numbers: [6, 75]
Generated Node #0,3,3: 58:[6, 75] Operation: 82-7=75
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 58:[6, 75], Operations: ['21-14=7', '82-7=75']
Exploring Operation: 6*75=450, Resulting Numbers: [450]
450,58 unequal: No Solution
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 58:[7, 76], Operations: ['21-14=7', '82-6=76']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 7*76=532, Resulting Numbers: [532]
532,58 unequal: No Solution
Exploring Operation: 7+76=83, Resulting Numbers: [83]
83,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 58:[82, 1], Operations: ['21-14=7', '7-6=1']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,58 unequal: No Solution
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 58:[7, 88], Operations: ['21-14=7', '6+82=88']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Exploring Operation: 7*88=616, Resulting Numbers: [616]
616,58 unequal: No Solution
Exploring Operation: 7+88=95, Resulting Numbers: [95]
95,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[6, 82, 35], Operations: ['14+21=35']
Exploring Operation: 35-6=29, Resulting Numbers: [82, 29]
Generated Node #0,0,0: 58:[82, 29] Operation: 35-6=29
Exploring Operation: 82-35=47, Resulting Numbers: [6, 47]
Generated Node #0,0,1: 58:[6, 47] Operation: 82-35=47
Exploring Operation: 6+82=88, Resulting Numbers: [35, 88]
Generated Node #0,0,2: 58:[35, 88] Operation: 6+82=88
Exploring Operation: 82-6=76, Resulting Numbers: [35, 76]
Generated Node #0,0,3: 58:[35, 76] Operation: 82-6=76
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[6, 47], Operations: ['14+21=35', '82-35=47']
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,58 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,58 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[82, 29], Operations: ['14+21=35', '35-6=29']
Exploring Operation: 82+29=111, Resulting Numbers: [111]
111,58 unequal: No Solution
Exploring Operation: 82*29=2378, Resulting Numbers: [2378]
2378,58 unequal: No Solution
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 58:[35, 76], Operations: ['14+21=35', '82-6=76']
Exploring Operation: 35*76=2660, Resulting Numbers: [2660]
2660,58 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,58 unequal: No Solution
Exploring Operation: 35+76=111, Resulting Numbers: [111]
111,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[35, 88], Operations: ['14+21=35', '6+82=88']
Exploring Operation: 35+88=123, Resulting Numbers: [123]
123,58 unequal: No Solution
Exploring Operation: 35*88=3080, Resulting Numbers: [3080]
3080,58 unequal: No Solution
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
3,
9,
96,
84
] | 92 | [
"3+9=12",
"96/12=8",
"84+8=92"
] | Current State: 92:[3, 9, 96, 84], Operations: []
Exploring Operation: 3+9=12, Resulting Numbers: [96, 84, 12]
Generated Node #2: [96, 84, 12] from Operation: 3+9=12
Current State: 92:[96, 84, 12], Operations: ['3+9=12']
Exploring Operation: 96/12=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 96/12=8
Current State: 92:[84, 8], Operations: ['3+9=12', '96/12=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[3, 9, 96, 84], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [96, 84, 3]
Generated Node #0,0: 92:[96, 84, 3] Operation: 9/3=3
Exploring Operation: 9+84=93, Resulting Numbers: [3, 96, 93]
Generated Node #0,1: 92:[3, 96, 93] Operation: 9+84=93
Moving to Node #0,1
Current State: 92:[3, 96, 93], Operations: ['9+84=93']
Exploring Operation: 96-93=3, Resulting Numbers: [3, 3]
Generated Node #0,1,0: 92:[3, 3] Operation: 96-93=3
Exploring Operation: 96-3=93, Resulting Numbers: [93, 93]
Generated Node #0,1,1: 92:[93, 93] Operation: 96-3=93
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[3, 3], Operations: ['9+84=93', '96-93=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[93, 93], Operations: ['9+84=93', '96-3=93']
Exploring Operation: 93-93=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 93/93=1, Resulting Numbers: [1]
1,92 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: 92:[96, 84, 3], Operations: ['9/3=3']
Exploring Operation: 96-3=93, Resulting Numbers: [84, 93]
Generated Node #0,0,0: 92:[84, 93] Operation: 96-3=93
Exploring Operation: 96-84=12, Resulting Numbers: [3, 12]
Generated Node #0,0,1: 92:[3, 12] Operation: 96-84=12
Moving to Node #0,0,0
Current State: 92:[84, 93], Operations: ['9/3=3', '96-3=93']
Exploring Operation: 84+93=177, Resulting Numbers: [177]
177,92 unequal: No Solution
Exploring Operation: 93-84=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[3, 12], Operations: ['9/3=3', '96-84=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,92 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
87,
32,
8,
49
] | 34 | [
"87+49=136",
"32/8=4",
"136/4=34"
] | Current State: 34:[87, 32, 8, 49], Operations: []
Exploring Operation: 87+49=136, Resulting Numbers: [32, 8, 136]
Generated Node #2: [32, 8, 136] from Operation: 87+49=136
Current State: 34:[32, 8, 136], Operations: ['87+49=136']
Exploring Operation: 32/8=4, Resulting Numbers: [136, 4]
Generated Node #3: [136, 4] from Operation: 32/8=4
Current State: 34:[136, 4], Operations: ['87+49=136', '32/8=4']
Exploring Operation: 136/4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[87, 32, 8, 49], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [32, 8, 38]
Generated Node #0,0: 34:[32, 8, 38] Operation: 87-49=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[32, 8, 38], Operations: ['87-49=38']
Exploring Operation: 32/8=4, Resulting Numbers: [38, 4]
Generated Node #0,0,0: 34:[38, 4] Operation: 32/8=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[38, 4], Operations: ['87-49=38', '32/8=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[87, 32, 8, 49], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [32, 8, 38]
Generated Node #0,0: 34:[32, 8, 38] Operation: 87-49=38
Moving to Node #0,0
Current State: 34:[32, 8, 38], Operations: ['87-49=38']
Exploring Operation: 32/8=4, Resulting Numbers: [38, 4]
Generated Node #0,0,0: 34:[38, 4] Operation: 32/8=4
Moving to Node #0,0,0
Current State: 34:[38, 4], Operations: ['87-49=38', '32/8=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
91,
57,
69,
5
] | 98 | [
"91-57=34",
"69-5=64",
"34+64=98"
] | Current State: 98:[91, 57, 69, 5], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [69, 5, 34]
Generated Node #2: [69, 5, 34] from Operation: 91-57=34
Current State: 98:[69, 5, 34], Operations: ['91-57=34']
Exploring Operation: 69-5=64, Resulting Numbers: [34, 64]
Generated Node #3: [34, 64] from Operation: 69-5=64
Current State: 98:[34, 64], Operations: ['91-57=34', '69-5=64']
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[91, 57, 69, 5], Operations: []
Exploring Operation: 91+5=96, Resulting Numbers: [57, 69, 96]
Generated Node #0,0: 98:[57, 69, 96] Operation: 91+5=96
Exploring Operation: 91-69=22, Resulting Numbers: [57, 5, 22]
Generated Node #0,1: 98:[57, 5, 22] Operation: 91-69=22
Exploring Operation: 69-57=12, Resulting Numbers: [91, 5, 12]
Generated Node #0,2: 98:[91, 5, 12] Operation: 69-57=12
Exploring Operation: 57-5=52, Resulting Numbers: [91, 69, 52]
Generated Node #0,3: 98:[91, 69, 52] Operation: 57-5=52
Moving to Node #0,2
Current State: 98:[91, 5, 12], Operations: ['69-57=12']
Exploring Operation: 12-5=7, Resulting Numbers: [91, 7]
Generated Node #0,2,0: 98:[91, 7] Operation: 12-5=7
Exploring Operation: 91+5=96, Resulting Numbers: [12, 96]
Generated Node #0,2,1: 98:[12, 96] Operation: 91+5=96
Exploring Operation: 5+12=17, Resulting Numbers: [91, 17]
Generated Node #0,2,2: 98:[91, 17] Operation: 5+12=17
Exploring Operation: 91+12=103, Resulting Numbers: [5, 103]
Generated Node #0,2,3: 98:[5, 103] Operation: 91+12=103
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 98:[12, 96], Operations: ['69-57=12', '91+5=96']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,98 unequal: No Solution
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 12*96=1152, Resulting Numbers: [1152]
1152,98 unequal: No Solution
Exploring Operation: 12+96=108, Resulting Numbers: [108]
108,98 unequal: No Solution
No 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: 98:[91, 7], Operations: ['69-57=12', '12-5=7']
Exploring Operation: 91*7=637, Resulting Numbers: [637]
637,98 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[91, 57, 69, 5], Operations: []
Exploring Operation: 69-57=12, Resulting Numbers: [91, 5, 12]
Generated Node #0,2: 98:[91, 5, 12] Operation: 69-57=12
Moving to Node #0,2
Current State: 98:[91, 5, 12], Operations: ['69-57=12']
Exploring Operation: 12-5=7, Resulting Numbers: [91, 7]
Generated Node #0,2,0: 98:[91, 7] Operation: 12-5=7
Moving to Node #0,2,0
Current State: 98:[91, 7], Operations: ['69-57=12', '12-5=7']
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
59,
83,
27,
31
] | 82 | [
"83-59=24",
"27+31=58",
"24+58=82"
] | Current State: 82:[59, 83, 27, 31], Operations: []
Exploring Operation: 83-59=24, Resulting Numbers: [27, 31, 24]
Generated Node #2: [27, 31, 24] from Operation: 83-59=24
Current State: 82:[27, 31, 24], Operations: ['83-59=24']
Exploring Operation: 27+31=58, Resulting Numbers: [24, 58]
Generated Node #3: [24, 58] from Operation: 27+31=58
Current State: 82:[24, 58], Operations: ['83-59=24', '27+31=58']
Exploring Operation: 24+58=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[59, 83, 27, 31], Operations: []
Exploring Operation: 59+27=86, Resulting Numbers: [83, 31, 86]
Generated Node #0,0: 82:[83, 31, 86] Operation: 59+27=86
Exploring Operation: 59+31=90, Resulting Numbers: [83, 27, 90]
Generated Node #0,1: 82:[83, 27, 90] Operation: 59+31=90
Exploring Operation: 59-27=32, Resulting Numbers: [83, 31, 32]
Generated Node #0,2: 82:[83, 31, 32] Operation: 59-27=32
Exploring Operation: 59-31=28, Resulting Numbers: [83, 27, 28]
Generated Node #0,3: 82:[83, 27, 28] Operation: 59-31=28
Exploring Operation: 31-27=4, Resulting Numbers: [59, 83, 4]
Generated Node #0,4: 82:[59, 83, 4] Operation: 31-27=4
Moving to Node #0,0
Current State: 82:[83, 31, 86], Operations: ['59+27=86']
Exploring Operation: 83-31=52, Resulting Numbers: [86, 52]
Generated Node #0,0,0: 82:[86, 52] Operation: 83-31=52
Exploring Operation: 83+31=114, Resulting Numbers: [86, 114]
Generated Node #0,0,1: 82:[86, 114] Operation: 83+31=114
Exploring Operation: 86-83=3, Resulting Numbers: [31, 3]
Generated Node #0,0,2: 82:[31, 3] Operation: 86-83=3
Exploring Operation: 31+86=117, Resulting Numbers: [83, 117]
Generated Node #0,0,3: 82:[83, 117] Operation: 31+86=117
Exploring Operation: 86-31=55, Resulting Numbers: [83, 55]
Generated Node #0,0,4: 82:[83, 55] Operation: 86-31=55
Moving to Node #0,2
Current State: 82:[83, 31, 32], Operations: ['59-27=32']
Exploring Operation: 83-31=52, Resulting Numbers: [32, 52]
Generated Node #0,2,0: 82:[32, 52] Operation: 83-31=52
Exploring Operation: 83-32=51, Resulting Numbers: [31, 51]
Generated Node #0,2,1: 82:[31, 51] Operation: 83-32=51
Exploring Operation: 31+32=63, Resulting Numbers: [83, 63]
Generated Node #0,2,2: 82:[83, 63] Operation: 31+32=63
Exploring Operation: 83+31=114, Resulting Numbers: [32, 114]
Generated Node #0,2,3: 82:[32, 114] Operation: 83+31=114
Exploring Operation: 32-31=1, Resulting Numbers: [83, 1]
Generated Node #0,2,4: 82:[83, 1] Operation: 32-31=1
Moving to Node #0,4
Current State: 82:[59, 83, 4], Operations: ['31-27=4']
Exploring Operation: 83-4=79, Resulting Numbers: [59, 79]
Generated Node #0,4,0: 82:[59, 79] Operation: 83-4=79
Exploring Operation: 83+4=87, Resulting Numbers: [59, 87]
Generated Node #0,4,1: 82:[59, 87] Operation: 83+4=87
Exploring Operation: 59-4=55, Resulting Numbers: [83, 55]
Generated Node #0,4,2: 82:[83, 55] Operation: 59-4=55
Exploring Operation: 83-59=24, Resulting Numbers: [4, 24]
Generated Node #0,4,3: 82:[4, 24] Operation: 83-59=24
Exploring Operation: 59+4=63, Resulting Numbers: [83, 63]
Generated Node #0,4,4: 82:[83, 63] Operation: 59+4=63
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[83, 55], Operations: ['31-27=4', '59-4=55']
Exploring Operation: 83-55=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 83*55=4565, Resulting Numbers: [4565]
4565,82 unequal: No Solution
Exploring Operation: 83+55=138, Resulting Numbers: [138]
138,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 82:[4, 24], Operations: ['31-27=4', '83-59=24']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,82 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,82 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 82:[83, 63], Operations: ['31-27=4', '59+4=63']
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 83*63=5229, Resulting Numbers: [5229]
5229,82 unequal: No Solution
Exploring Operation: 83+63=146, Resulting Numbers: [146]
146,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 82:[59, 79], Operations: ['31-27=4', '83-4=79']
Exploring Operation: 79-59=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 59+79=138, Resulting Numbers: [138]
138,82 unequal: No Solution
Exploring Operation: 59*79=4661, Resulting Numbers: [4661]
4661,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 82:[59, 87], Operations: ['31-27=4', '83+4=87']
Exploring Operation: 59+87=146, Resulting Numbers: [146]
146,82 unequal: No Solution
Exploring Operation: 87-59=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 59*87=5133, Resulting Numbers: [5133]
5133,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 82:[83, 27, 90], Operations: ['59+31=90']
Exploring Operation: 83+27=110, Resulting Numbers: [90, 110]
Generated Node #0,1,0: 82:[90, 110] Operation: 83+27=110
Exploring Operation: 90-83=7, Resulting Numbers: [27, 7]
Generated Node #0,1,1: 82:[27, 7] Operation: 90-83=7
Exploring Operation: 90-27=63, Resulting Numbers: [83, 63]
Generated Node #0,1,2: 82:[83, 63] Operation: 90-27=63
Exploring Operation: 27+90=117, Resulting Numbers: [83, 117]
Generated Node #0,1,3: 82:[83, 117] Operation: 27+90=117
Exploring Operation: 83-27=56, Resulting Numbers: [90, 56]
Generated Node #0,1,4: 82:[90, 56] Operation: 83-27=56
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[27, 7], Operations: ['59+31=90', '90-83=7']
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,82 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 82:[83, 63], Operations: ['59+31=90', '90-27=63']
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 83*63=5229, Resulting Numbers: [5229]
5229,82 unequal: No Solution
Exploring Operation: 83+63=146, Resulting Numbers: [146]
146,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 82:[90, 56], Operations: ['59+31=90', '83-27=56']
Exploring Operation: 90+56=146, Resulting Numbers: [146]
146,82 unequal: No Solution
Exploring Operation: 90*56=5040, Resulting Numbers: [5040]
5040,82 unequal: No Solution
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[90, 110], Operations: ['59+31=90', '83+27=110']
Exploring Operation: 90+110=200, Resulting Numbers: [200]
200,82 unequal: No Solution
Exploring Operation: 110-90=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 90*110=9900, Resulting Numbers: [9900]
9900,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 82:[83, 117], Operations: ['59+31=90', '27+90=117']
Exploring Operation: 83+117=200, Resulting Numbers: [200]
200,82 unequal: No Solution
Exploring Operation: 83*117=9711, Resulting Numbers: [9711]
9711,82 unequal: No Solution
Exploring Operation: 117-83=34, Resulting Numbers: [34]
34,82 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: 82:[83, 27, 28], Operations: ['59-31=28']
Exploring Operation: 83+27=110, Resulting Numbers: [28, 110]
Generated Node #0,3,0: 82:[28, 110] Operation: 83+27=110
Exploring Operation: 27+28=55, Resulting Numbers: [83, 55]
Generated Node #0,3,1: 82:[83, 55] Operation: 27+28=55
Exploring Operation: 83-27=56, Resulting Numbers: [28, 56]
Generated Node #0,3,2: 82:[28, 56] Operation: 83-27=56
Exploring Operation: 28-27=1, Resulting Numbers: [83, 1]
Generated Node #0,3,3: 82:[83, 1] Operation: 28-27=1
Exploring Operation: 83-28=55, Resulting Numbers: [27, 55]
Generated Node #0,3,4: 82:[27, 55] Operation: 83-28=55
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 82:[83, 1], Operations: ['59-31=28', '28-27=1']
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[59, 83, 27, 31], Operations: []
Exploring Operation: 59-31=28, Resulting Numbers: [83, 27, 28]
Generated Node #0,3: 82:[83, 27, 28] Operation: 59-31=28
Moving to Node #0,3
Current State: 82:[83, 27, 28], Operations: ['59-31=28']
Exploring Operation: 28-27=1, Resulting Numbers: [83, 1]
Generated Node #0,3,3: 82:[83, 1] Operation: 28-27=1
Moving to Node #0,3,3
Current State: 82:[83, 1], Operations: ['59-31=28', '28-27=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | sum_heuristic |
[
50,
83,
74,
36
] | 23 | [
"50+83=133",
"74+36=110",
"133-110=23"
] | Current State: 23:[50, 83, 74, 36], Operations: []
Exploring Operation: 50+83=133, Resulting Numbers: [74, 36, 133]
Generated Node #2: [74, 36, 133] from Operation: 50+83=133
Current State: 23:[74, 36, 133], Operations: ['50+83=133']
Exploring Operation: 74+36=110, Resulting Numbers: [133, 110]
Generated Node #3: [133, 110] from Operation: 74+36=110
Current State: 23:[133, 110], Operations: ['50+83=133', '74+36=110']
Exploring Operation: 133-110=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[50, 83, 74, 36], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [83, 36, 24]
Generated Node #0,0: 23:[83, 36, 24] Operation: 74-50=24
Exploring Operation: 83-50=33, Resulting Numbers: [74, 36, 33]
Generated Node #0,1: 23:[74, 36, 33] Operation: 83-50=33
Exploring Operation: 83-74=9, Resulting Numbers: [50, 36, 9]
Generated Node #0,2: 23:[50, 36, 9] Operation: 83-74=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[50, 36, 9], Operations: ['83-74=9']
Exploring Operation: 50-36=14, Resulting Numbers: [9, 14]
Generated Node #0,2,0: 23:[9, 14] Operation: 50-36=14
Exploring Operation: 50-9=41, Resulting Numbers: [36, 41]
Generated Node #0,2,1: 23:[36, 41] Operation: 50-9=41
Exploring Operation: 36-9=27, Resulting Numbers: [50, 27]
Generated Node #0,2,2: 23:[50, 27] Operation: 36-9=27
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 23:[9, 14], Operations: ['83-74=9', '50-36=14']
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[50, 83, 74, 36], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [50, 36, 9]
Generated Node #0,2: 23:[50, 36, 9] Operation: 83-74=9
Moving to Node #0,2
Current State: 23:[50, 36, 9], Operations: ['83-74=9']
Exploring Operation: 50-36=14, Resulting Numbers: [9, 14]
Generated Node #0,2,0: 23:[9, 14] Operation: 50-36=14
Moving to Node #0,2,0
Current State: 23:[9, 14], Operations: ['83-74=9', '50-36=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
54,
46,
42,
57
] | 91 | [
"54-46=8",
"42+57=99",
"99-8=91"
] | Current State: 91:[54, 46, 42, 57], Operations: []
Exploring Operation: 54-46=8, Resulting Numbers: [42, 57, 8]
Generated Node #2: [42, 57, 8] from Operation: 54-46=8
Current State: 91:[42, 57, 8], Operations: ['54-46=8']
Exploring Operation: 42+57=99, Resulting Numbers: [8, 99]
Generated Node #3: [8, 99] from Operation: 42+57=99
Current State: 91:[8, 99], Operations: ['54-46=8', '42+57=99']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[54, 46, 42, 57], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [46, 57, 12]
Generated Node #0,0: 91:[46, 57, 12] Operation: 54-42=12
Exploring Operation: 54-46=8, Resulting Numbers: [42, 57, 8]
Generated Node #0,1: 91:[42, 57, 8] Operation: 54-46=8
Exploring Operation: 57-46=11, Resulting Numbers: [54, 42, 11]
Generated Node #0,2: 91:[54, 42, 11] Operation: 57-46=11
Exploring Operation: 57-54=3, Resulting Numbers: [46, 42, 3]
Generated Node #0,3: 91:[46, 42, 3] Operation: 57-54=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[42, 57, 8], Operations: ['54-46=8']
Exploring Operation: 57+8=65, Resulting Numbers: [42, 65]
Generated Node #0,1,0: 91:[42, 65] Operation: 57+8=65
Exploring Operation: 42-8=34, Resulting Numbers: [57, 34]
Generated Node #0,1,1: 91:[57, 34] Operation: 42-8=34
Exploring Operation: 57-42=15, Resulting Numbers: [8, 15]
Generated Node #0,1,2: 91:[8, 15] Operation: 57-42=15
Exploring Operation: 42+57=99, Resulting Numbers: [8, 99]
Generated Node #0,1,3: 91:[8, 99] Operation: 42+57=99
Moving to Node #0,1,2
Current State: 91:[8, 15], Operations: ['54-46=8', '57-42=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,91 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[8, 99], Operations: ['54-46=8', '42+57=99']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[54, 46, 42, 57], Operations: []
Exploring Operation: 54-46=8, Resulting Numbers: [42, 57, 8]
Generated Node #0,1: 91:[42, 57, 8] Operation: 54-46=8
Moving to Node #0,1
Current State: 91:[42, 57, 8], Operations: ['54-46=8']
Exploring Operation: 42+57=99, Resulting Numbers: [8, 99]
Generated Node #0,1,3: 91:[8, 99] Operation: 42+57=99
Moving to Node #0,1,3
Current State: 91:[8, 99], Operations: ['54-46=8', '42+57=99']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
2,
27,
97,
58
] | 93 | [
"2*27=54",
"97-58=39",
"54+39=93"
] | Current State: 93:[2, 27, 97, 58], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [97, 58, 54]
Generated Node #2: [97, 58, 54] from Operation: 2*27=54
Current State: 93:[97, 58, 54], Operations: ['2*27=54']
Exploring Operation: 97-58=39, Resulting Numbers: [54, 39]
Generated Node #3: [54, 39] from Operation: 97-58=39
Current State: 93:[54, 39], Operations: ['2*27=54', '97-58=39']
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[2, 27, 97, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [27, 97, 29]
Generated Node #0,0: 93:[27, 97, 29] Operation: 58/2=29
Exploring Operation: 58-27=31, Resulting Numbers: [2, 97, 31]
Generated Node #0,1: 93:[2, 97, 31] Operation: 58-27=31
Exploring Operation: 27+58=85, Resulting Numbers: [2, 97, 85]
Generated Node #0,2: 93:[2, 97, 85] Operation: 27+58=85
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[2, 97, 31], Operations: ['58-27=31']
Exploring Operation: 2+97=99, Resulting Numbers: [31, 99]
Generated Node #0,1,0: 93:[31, 99] Operation: 2+97=99
Exploring Operation: 97-2=95, Resulting Numbers: [31, 95]
Generated Node #0,1,1: 93:[31, 95] Operation: 97-2=95
Exploring Operation: 2+31=33, Resulting Numbers: [97, 33]
Generated Node #0,1,2: 93:[97, 33] Operation: 2+31=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[31, 95], Operations: ['58-27=31', '97-2=95']
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Exploring Operation: 31+95=126, Resulting Numbers: [126]
126,93 unequal: No Solution
Exploring Operation: 31*95=2945, Resulting Numbers: [2945]
2945,93 unequal: No Solution
No 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: 93:[31, 99], Operations: ['58-27=31', '2+97=99']
Exploring Operation: 31+99=130, Resulting Numbers: [130]
130,93 unequal: No Solution
Exploring Operation: 31*99=3069, Resulting Numbers: [3069]
3069,93 unequal: No Solution
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,93 unequal: No Solution
No 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: 93:[97, 33], Operations: ['58-27=31', '2+31=33']
Exploring Operation: 97*33=3201, Resulting Numbers: [3201]
3201,93 unequal: No Solution
Exploring Operation: 97-33=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Exploring Operation: 97+33=130, Resulting Numbers: [130]
130,93 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: 93:[27, 97, 29], Operations: ['58/2=29']
Exploring Operation: 97-27=70, Resulting Numbers: [29, 70]
Generated Node #0,0,0: 93:[29, 70] Operation: 97-27=70
Exploring Operation: 27+29=56, Resulting Numbers: [97, 56]
Generated Node #0,0,1: 93:[97, 56] Operation: 27+29=56
Exploring Operation: 29-27=2, Resulting Numbers: [97, 2]
Generated Node #0,0,2: 93:[97, 2] Operation: 29-27=2
Moving to Node #0,0,2
Current State: 93:[97, 2], Operations: ['58/2=29', '29-27=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,93 unequal: No Solution
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,93 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[29, 70], Operations: ['58/2=29', '97-27=70']
Exploring Operation: 29+70=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 29*70=2030, Resulting Numbers: [2030]
2030,93 unequal: No Solution
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[97, 56], Operations: ['58/2=29', '27+29=56']
Exploring Operation: 97*56=5432, Resulting Numbers: [5432]
5432,93 unequal: No Solution
Exploring Operation: 97+56=153, Resulting Numbers: [153]
153,93 unequal: No Solution
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,93 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
Current State: 93:[2, 97, 85], Operations: ['27+58=85']
Exploring Operation: 97-2=95, Resulting Numbers: [85, 95]
Generated Node #0,2,0: 93:[85, 95] Operation: 97-2=95
Exploring Operation: 2+85=87, Resulting Numbers: [97, 87]
Generated Node #0,2,1: 93:[97, 87] Operation: 2+85=87
Exploring Operation: 97-85=12, Resulting Numbers: [2, 12]
Generated Node #0,2,2: 93:[2, 12] Operation: 97-85=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[85, 95], Operations: ['27+58=85', '97-2=95']
Exploring Operation: 85*95=8075, Resulting Numbers: [8075]
8075,93 unequal: No Solution
Exploring Operation: 95-85=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 85+95=180, Resulting Numbers: [180]
180,93 unequal: No Solution
No 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: 93:[97, 87], Operations: ['27+58=85', '2+85=87']
Exploring Operation: 97*87=8439, Resulting Numbers: [8439]
8439,93 unequal: No Solution
Exploring Operation: 97+87=184, Resulting Numbers: [184]
184,93 unequal: No Solution
Exploring Operation: 97-87=10, Resulting Numbers: [10]
10,93 unequal: No Solution
No 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: 93:[2, 12], Operations: ['27+58=85', '97-85=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
8,
47,
8,
42
] | 80 | [
"8+8=16",
"47-42=5",
"16*5=80"
] | Current State: 80:[8, 47, 8, 42], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [47, 42, 16]
Generated Node #2: [47, 42, 16] from Operation: 8+8=16
Current State: 80:[47, 42, 16], Operations: ['8+8=16']
Exploring Operation: 47-42=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 47-42=5
Current State: 80:[16, 5], Operations: ['8+8=16', '47-42=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[8, 47, 8, 42], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [8, 8, 5]
Generated Node #0,0: 80:[8, 8, 5] Operation: 47-42=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[8, 8, 5], Operations: ['47-42=5']
Exploring Operation: 8+8=16, Resulting Numbers: [5, 16]
Generated Node #0,0,0: 80:[5, 16] Operation: 8+8=16
Moving to Node #0,0,0
Current State: 80:[5, 16], Operations: ['47-42=5', '8+8=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[8, 47, 8, 42], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [8, 8, 5]
Generated Node #0,0: 80:[8, 8, 5] Operation: 47-42=5
Moving to Node #0,0
Current State: 80:[8, 8, 5], Operations: ['47-42=5']
Exploring Operation: 8+8=16, Resulting Numbers: [5, 16]
Generated Node #0,0,0: 80:[5, 16] Operation: 8+8=16
Moving to Node #0,0,0
Current State: 80:[5, 16], Operations: ['47-42=5', '8+8=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
50,
49,
47,
13
] | 65 | [
"50+49=99",
"47-13=34",
"99-34=65"
] | Current State: 65:[50, 49, 47, 13], Operations: []
Exploring Operation: 50+49=99, Resulting Numbers: [47, 13, 99]
Generated Node #2: [47, 13, 99] from Operation: 50+49=99
Current State: 65:[47, 13, 99], Operations: ['50+49=99']
Exploring Operation: 47-13=34, Resulting Numbers: [99, 34]
Generated Node #3: [99, 34] from Operation: 47-13=34
Current State: 65:[99, 34], Operations: ['50+49=99', '47-13=34']
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[50, 49, 47, 13], Operations: []
Exploring Operation: 49+13=62, Resulting Numbers: [50, 47, 62]
Generated Node #0,0: 65:[50, 47, 62] Operation: 49+13=62
Exploring Operation: 50-47=3, Resulting Numbers: [49, 13, 3]
Generated Node #0,1: 65:[49, 13, 3] Operation: 50-47=3
Exploring Operation: 49-47=2, Resulting Numbers: [50, 13, 2]
Generated Node #0,2: 65:[50, 13, 2] Operation: 49-47=2
Exploring Operation: 50+13=63, Resulting Numbers: [49, 47, 63]
Generated Node #0,3: 65:[49, 47, 63] Operation: 50+13=63
Exploring Operation: 50-49=1, Resulting Numbers: [47, 13, 1]
Generated Node #0,4: 65:[47, 13, 1] Operation: 50-49=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[49, 13, 3], Operations: ['50-47=3']
Exploring Operation: 13-3=10, Resulting Numbers: [49, 10]
Generated Node #0,1,0: 65:[49, 10] Operation: 13-3=10
Exploring Operation: 13+3=16, Resulting Numbers: [49, 16]
Generated Node #0,1,1: 65:[49, 16] Operation: 13+3=16
Exploring Operation: 49+13=62, Resulting Numbers: [3, 62]
Generated Node #0,1,2: 65:[3, 62] Operation: 49+13=62
Exploring Operation: 49-3=46, Resulting Numbers: [13, 46]
Generated Node #0,1,3: 65:[13, 46] Operation: 49-3=46
Exploring Operation: 49+3=52, Resulting Numbers: [13, 52]
Generated Node #0,1,4: 65:[13, 52] Operation: 49+3=52
Moving to Node #0,1,2
Current State: 65:[3, 62], Operations: ['50-47=3', '49+13=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,65 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[50, 49, 47, 13], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [49, 13, 3]
Generated Node #0,1: 65:[49, 13, 3] Operation: 50-47=3
Moving to Node #0,1
Current State: 65:[49, 13, 3], Operations: ['50-47=3']
Exploring Operation: 49+13=62, Resulting Numbers: [3, 62]
Generated Node #0,1,2: 65:[3, 62] Operation: 49+13=62
Moving to Node #0,1,2
Current State: 65:[3, 62], Operations: ['50-47=3', '49+13=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
9,
32,
62,
80
] | 34 | [
"80-62=18",
"18/9=2",
"32+2=34"
] | Current State: 34:[9, 32, 62, 80], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [9, 32, 18]
Generated Node #2: [9, 32, 18] from Operation: 80-62=18
Current State: 34:[9, 32, 18], Operations: ['80-62=18']
Exploring Operation: 18/9=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 18/9=2
Current State: 34:[32, 2], Operations: ['80-62=18', '18/9=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[9, 32, 62, 80], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [9, 32, 18]
Generated Node #0,0: 34:[9, 32, 18] Operation: 80-62=18
Exploring Operation: 62-9=53, Resulting Numbers: [32, 80, 53]
Generated Node #0,1: 34:[32, 80, 53] Operation: 62-9=53
Exploring Operation: 62-32=30, Resulting Numbers: [9, 80, 30]
Generated Node #0,2: 34:[9, 80, 30] Operation: 62-32=30
Exploring Operation: 80-32=48, Resulting Numbers: [9, 62, 48]
Generated Node #0,3: 34:[9, 62, 48] Operation: 80-32=48
Moving to Node #0,0
Current State: 34:[9, 32, 18], Operations: ['80-62=18']
Exploring Operation: 9+32=41, Resulting Numbers: [18, 41]
Generated Node #0,0,0: 34:[18, 41] Operation: 9+32=41
Exploring Operation: 9+18=27, Resulting Numbers: [32, 27]
Generated Node #0,0,1: 34:[32, 27] Operation: 9+18=27
Exploring Operation: 18/9=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 34:[32, 2] Operation: 18/9=2
Exploring Operation: 32-9=23, Resulting Numbers: [18, 23]
Generated Node #0,0,3: 34:[18, 23] Operation: 32-9=23
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 34:[32, 2], Operations: ['80-62=18', '18/9=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[9, 32, 62, 80], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [9, 32, 18]
Generated Node #0,0: 34:[9, 32, 18] Operation: 80-62=18
Moving to Node #0,0
Current State: 34:[9, 32, 18], Operations: ['80-62=18']
Exploring Operation: 18/9=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 34:[32, 2] Operation: 18/9=2
Moving to Node #0,0,2
Current State: 34:[32, 2], Operations: ['80-62=18', '18/9=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
54,
57,
78,
11
] | 15 | [
"57-54=3",
"78/3=26",
"26-11=15"
] | Current State: 15:[54, 57, 78, 11], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [78, 11, 3]
Generated Node #2: [78, 11, 3] from Operation: 57-54=3
Current State: 15:[78, 11, 3], Operations: ['57-54=3']
Exploring Operation: 78/3=26, Resulting Numbers: [11, 26]
Generated Node #3: [11, 26] from Operation: 78/3=26
Current State: 15:[11, 26], Operations: ['57-54=3', '78/3=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[54, 57, 78, 11], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [57, 11, 24]
Generated Node #0,0: 15:[57, 11, 24] Operation: 78-54=24
Exploring Operation: 57-54=3, Resulting Numbers: [78, 11, 3]
Generated Node #0,1: 15:[78, 11, 3] Operation: 57-54=3
Exploring Operation: 78-57=21, Resulting Numbers: [54, 11, 21]
Generated Node #0,2: 15:[54, 11, 21] Operation: 78-57=21
Moving to Node #0,2
Current State: 15:[54, 11, 21], Operations: ['78-57=21']
Exploring Operation: 54-11=43, Resulting Numbers: [21, 43]
Generated Node #0,2,0: 15:[21, 43] Operation: 54-11=43
Exploring Operation: 54-21=33, Resulting Numbers: [11, 33]
Generated Node #0,2,1: 15:[11, 33] Operation: 54-21=33
Exploring Operation: 21-11=10, Resulting Numbers: [54, 10]
Generated Node #0,2,2: 15:[54, 10] Operation: 21-11=10
Moving to Node #0,0
Current State: 15:[57, 11, 24], Operations: ['78-54=24']
Exploring Operation: 24-11=13, Resulting Numbers: [57, 13]
Generated Node #0,0,0: 15:[57, 13] Operation: 24-11=13
Exploring Operation: 57-24=33, Resulting Numbers: [11, 33]
Generated Node #0,0,1: 15:[11, 33] Operation: 57-24=33
Exploring Operation: 57-11=46, Resulting Numbers: [24, 46]
Generated Node #0,0,2: 15:[24, 46] Operation: 57-11=46
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[11, 33], Operations: ['78-54=24', '57-24=33']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,15 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 #0,0,2
Current State: 15:[24, 46], Operations: ['78-54=24', '57-11=46']
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,15 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,15 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 #0,0,0
Current State: 15:[57, 13], Operations: ['78-54=24', '24-11=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,15 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,15 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: 15:[78, 11, 3], Operations: ['57-54=3']
Exploring Operation: 78/3=26, Resulting Numbers: [11, 26]
Generated Node #0,1,0: 15:[11, 26] Operation: 78/3=26
Exploring Operation: 78-11=67, Resulting Numbers: [3, 67]
Generated Node #0,1,1: 15:[3, 67] Operation: 78-11=67
Exploring Operation: 78-3=75, Resulting Numbers: [11, 75]
Generated Node #0,1,2: 15:[11, 75] Operation: 78-3=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[11, 26], Operations: ['57-54=3', '78/3=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[54, 57, 78, 11], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [78, 11, 3]
Generated Node #0,1: 15:[78, 11, 3] Operation: 57-54=3
Moving to Node #0,1
Current State: 15:[78, 11, 3], Operations: ['57-54=3']
Exploring Operation: 78/3=26, Resulting Numbers: [11, 26]
Generated Node #0,1,0: 15:[11, 26] Operation: 78/3=26
Moving to Node #0,1,0
Current State: 15:[11, 26], Operations: ['57-54=3', '78/3=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
91,
5,
21,
2
] | 63 | [
"91-5=86",
"21+2=23",
"86-23=63"
] | Current State: 63:[91, 5, 21, 2], Operations: []
Exploring Operation: 91-5=86, Resulting Numbers: [21, 2, 86]
Generated Node #2: [21, 2, 86] from Operation: 91-5=86
Current State: 63:[21, 2, 86], Operations: ['91-5=86']
Exploring Operation: 21+2=23, Resulting Numbers: [86, 23]
Generated Node #3: [86, 23] from Operation: 21+2=23
Current State: 63:[86, 23], Operations: ['91-5=86', '21+2=23']
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[91, 5, 21, 2], Operations: []
Exploring Operation: 91-21=70, Resulting Numbers: [5, 2, 70]
Generated Node #0,0: 63:[5, 2, 70] Operation: 91-21=70
Exploring Operation: 91-5=86, Resulting Numbers: [21, 2, 86]
Generated Node #0,1: 63:[21, 2, 86] Operation: 91-5=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[5, 2, 70], Operations: ['91-21=70']
Exploring Operation: 70/5=14, Resulting Numbers: [2, 14]
Generated Node #0,0,0: 63:[2, 14] Operation: 70/5=14
Exploring Operation: 70-5=65, Resulting Numbers: [2, 65]
Generated Node #0,0,1: 63:[2, 65] Operation: 70-5=65
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[2, 65], Operations: ['91-21=70', '70-5=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,63 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[91, 5, 21, 2], Operations: []
Exploring Operation: 91-21=70, Resulting Numbers: [5, 2, 70]
Generated Node #0,0: 63:[5, 2, 70] Operation: 91-21=70
Moving to Node #0,0
Current State: 63:[5, 2, 70], Operations: ['91-21=70']
Exploring Operation: 70-5=65, Resulting Numbers: [2, 65]
Generated Node #0,0,1: 63:[2, 65] Operation: 70-5=65
Moving to Node #0,0,1
Current State: 63:[2, 65], Operations: ['91-21=70', '70-5=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
3,
69,
92,
46
] | 23 | [
"69/3=23",
"92-46=46",
"46-23=23"
] | Current State: 23:[3, 69, 92, 46], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [92, 46, 23]
Generated Node #2: [92, 46, 23] from Operation: 69/3=23
Current State: 23:[92, 46, 23], Operations: ['69/3=23']
Exploring Operation: 92-46=46, Resulting Numbers: [23, 46]
Generated Node #3: [23, 46] from Operation: 92-46=46
Current State: 23:[23, 46], Operations: ['69/3=23', '92-46=46']
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[3, 69, 92, 46], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [3, 46, 23]
Generated Node #0,0: 23:[3, 46, 23] Operation: 92-69=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[3, 46, 23], Operations: ['92-69=23']
Exploring Operation: 46-3=43, Resulting Numbers: [23, 43]
Generated Node #0,0,0: 23:[23, 43] Operation: 46-3=43
Moving to Node #0,0,0
Current State: 23:[23, 43], Operations: ['92-69=23', '46-3=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
85,
13,
39,
39
] | 91 | [
"85-39=46",
"46-39=7",
"13*7=91"
] | Current State: 91:[85, 13, 39, 39], Operations: []
Exploring Operation: 85-39=46, Resulting Numbers: [13, 46]
Generated Node #2: [13, 46] from Operation: 85-39=46
Current State: 91:[13, 46], Operations: ['85-39=46']
Exploring Operation: 46-39=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 46-39=7
Current State: 91:[13, 7], Operations: ['85-39=46', '46-39=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[85, 13, 39, 39], Operations: []
Exploring Operation: 39/39=1, Resulting Numbers: [85, 13, 1]
Generated Node #0,0: 91:[85, 13, 1] Operation: 39/39=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[85, 13, 1], Operations: ['39/39=1']
Exploring Operation: 85+1=86, Resulting Numbers: [13, 86]
Generated Node #0,0,0: 91:[13, 86] Operation: 85+1=86
Moving to Node #0,0,0
Current State: 91:[13, 86], Operations: ['39/39=1', '85+1=86']
Exploring Operation: 13+86=99, Resulting Numbers: [99]
99,91 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 |
[
69,
24,
64,
46
] | 75 | [
"69+24=93",
"64-46=18",
"93-18=75"
] | Current State: 75:[69, 24, 64, 46], Operations: []
Exploring Operation: 69+24=93, Resulting Numbers: [64, 46, 93]
Generated Node #2: [64, 46, 93] from Operation: 69+24=93
Current State: 75:[64, 46, 93], Operations: ['69+24=93']
Exploring Operation: 64-46=18, Resulting Numbers: [93, 18]
Generated Node #3: [93, 18] from Operation: 64-46=18
Current State: 75:[93, 18], Operations: ['69+24=93', '64-46=18']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[69, 24, 64, 46], Operations: []
Exploring Operation: 64-46=18, Resulting Numbers: [69, 24, 18]
Generated Node #0,0: 75:[69, 24, 18] Operation: 64-46=18
Moving to Node #0,0
Current State: 75:[69, 24, 18], Operations: ['64-46=18']
Exploring Operation: 24-18=6, Resulting Numbers: [69, 6]
Generated Node #0,0,0: 75:[69, 6] Operation: 24-18=6
Moving to Node #0,0,0
Current State: 75:[69, 6], Operations: ['64-46=18', '24-18=6']
Exploring Operation: 69+6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[69, 24, 64, 46], Operations: []
Exploring Operation: 64-46=18, Resulting Numbers: [69, 24, 18]
Generated Node #0,0: 75:[69, 24, 18] Operation: 64-46=18
Moving to Node #0,0
Current State: 75:[69, 24, 18], Operations: ['64-46=18']
Exploring Operation: 24-18=6, Resulting Numbers: [69, 6]
Generated Node #0,0,0: 75:[69, 6] Operation: 24-18=6
Moving to Node #0,0,0
Current State: 75:[69, 6], Operations: ['64-46=18', '24-18=6']
Exploring Operation: 69+6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
25,
2,
60,
57
] | 56 | [
"25+60=85",
"85-57=28",
"2*28=56"
] | Current State: 56:[25, 2, 60, 57], Operations: []
Exploring Operation: 25+60=85, Resulting Numbers: [2, 57, 85]
Generated Node #2: [2, 57, 85] from Operation: 25+60=85
Current State: 56:[2, 57, 85], Operations: ['25+60=85']
Exploring Operation: 85-57=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 85-57=28
Current State: 56:[2, 28], Operations: ['25+60=85', '85-57=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[25, 2, 60, 57], Operations: []
Exploring Operation: 25+2=27, Resulting Numbers: [60, 57, 27]
Generated Node #0,0: 56:[60, 57, 27] Operation: 25+2=27
Exploring Operation: 60/2=30, Resulting Numbers: [25, 57, 30]
Generated Node #0,1: 56:[25, 57, 30] Operation: 60/2=30
Exploring Operation: 60-25=35, Resulting Numbers: [2, 57, 35]
Generated Node #0,2: 56:[2, 57, 35] Operation: 60-25=35
Exploring Operation: 60-57=3, Resulting Numbers: [25, 2, 3]
Generated Node #0,3: 56:[25, 2, 3] Operation: 60-57=3
Exploring Operation: 60-2=58, Resulting Numbers: [25, 57, 58]
Generated Node #0,4: 56:[25, 57, 58] Operation: 60-2=58
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[25, 2, 3], Operations: ['60-57=3']
Exploring Operation: 25+2=27, Resulting Numbers: [3, 27]
Generated Node #0,3,0: 56:[3, 27] Operation: 25+2=27
Exploring Operation: 25+3=28, Resulting Numbers: [2, 28]
Generated Node #0,3,1: 56:[2, 28] Operation: 25+3=28
Exploring Operation: 3-2=1, Resulting Numbers: [25, 1]
Generated Node #0,3,2: 56:[25, 1] Operation: 3-2=1
Exploring Operation: 2+3=5, Resulting Numbers: [25, 5]
Generated Node #0,3,3: 56:[25, 5] Operation: 2+3=5
Exploring Operation: 2*3=6, Resulting Numbers: [25, 6]
Generated Node #0,3,4: 56:[25, 6] Operation: 2*3=6
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 56:[2, 28], Operations: ['60-57=3', '25+3=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[25, 2, 60, 57], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [25, 2, 3]
Generated Node #0,3: 56:[25, 2, 3] Operation: 60-57=3
Moving to Node #0,3
Current State: 56:[25, 2, 3], Operations: ['60-57=3']
Exploring Operation: 25+3=28, Resulting Numbers: [2, 28]
Generated Node #0,3,1: 56:[2, 28] Operation: 25+3=28
Moving to Node #0,3,1
Current State: 56:[2, 28], Operations: ['60-57=3', '25+3=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
92,
99,
2,
94
] | 54 | [
"99-92=7",
"94/2=47",
"7+47=54"
] | Current State: 54:[92, 99, 2, 94], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [2, 94, 7]
Generated Node #2: [2, 94, 7] from Operation: 99-92=7
Current State: 54:[2, 94, 7], Operations: ['99-92=7']
Exploring Operation: 94/2=47, Resulting Numbers: [7, 47]
Generated Node #3: [7, 47] from Operation: 94/2=47
Current State: 54:[7, 47], Operations: ['99-92=7', '94/2=47']
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[92, 99, 2, 94], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [92, 2, 5]
Generated Node #0,0: 54:[92, 2, 5] Operation: 99-94=5
Exploring Operation: 99-92=7, Resulting Numbers: [2, 94, 7]
Generated Node #0,1: 54:[2, 94, 7] Operation: 99-92=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[92, 2, 5], Operations: ['99-94=5']
Exploring Operation: 92-5=87, Resulting Numbers: [2, 87]
Generated Node #0,0,0: 54:[2, 87] Operation: 92-5=87
Exploring Operation: 92/2=46, Resulting Numbers: [5, 46]
Generated Node #0,0,1: 54:[5, 46] Operation: 92/2=46
Moving to Node #0,0,1
Current State: 54:[5, 46], Operations: ['99-94=5', '92/2=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,54 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[2, 87], Operations: ['99-94=5', '92-5=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,54 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:[2, 94, 7], Operations: ['99-92=7']
Exploring Operation: 94-7=87, Resulting Numbers: [2, 87]
Generated Node #0,1,0: 54:[2, 87] Operation: 94-7=87
Exploring Operation: 94/2=47, Resulting Numbers: [7, 47]
Generated Node #0,1,1: 54:[7, 47] Operation: 94/2=47
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[7, 47], Operations: ['99-92=7', '94/2=47']
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[92, 99, 2, 94], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [2, 94, 7]
Generated Node #0,1: 54:[2, 94, 7] Operation: 99-92=7
Moving to Node #0,1
Current State: 54:[2, 94, 7], Operations: ['99-92=7']
Exploring Operation: 94/2=47, Resulting Numbers: [7, 47]
Generated Node #0,1,1: 54:[7, 47] Operation: 94/2=47
Moving to Node #0,1,1
Current State: 54:[7, 47], Operations: ['99-92=7', '94/2=47']
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
9,
2,
6,
85
] | 58 | [
"9*6=54",
"54/2=27",
"85-27=58"
] | Current State: 58:[9, 2, 6, 85], Operations: []
Exploring Operation: 9*6=54, Resulting Numbers: [2, 85, 54]
Generated Node #2: [2, 85, 54] from Operation: 9*6=54
Current State: 58:[2, 85, 54], Operations: ['9*6=54']
Exploring Operation: 54/2=27, Resulting Numbers: [85, 27]
Generated Node #3: [85, 27] from Operation: 54/2=27
Current State: 58:[85, 27], Operations: ['9*6=54', '54/2=27']
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[9, 2, 6, 85], Operations: []
Exploring Operation: 85-9=76, Resulting Numbers: [2, 6, 76]
Generated Node #0,0: 58:[2, 6, 76] Operation: 85-9=76
Moving to Node #0,0
Current State: 58:[2, 6, 76], Operations: ['85-9=76']
Exploring Operation: 76-6=70, Resulting Numbers: [2, 70]
Generated Node #0,0,0: 58:[2, 70] Operation: 76-6=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[2, 70], Operations: ['85-9=76', '76-6=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,58 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 |
[
4,
11,
2,
27
] | 79 | [
"11+2=13",
"4*13=52",
"27+52=79"
] | Current State: 79:[4, 11, 2, 27], Operations: []
Exploring Operation: 11+2=13, Resulting Numbers: [4, 27, 13]
Generated Node #2: [4, 27, 13] from Operation: 11+2=13
Current State: 79:[4, 27, 13], Operations: ['11+2=13']
Exploring Operation: 4*13=52, Resulting Numbers: [27, 52]
Generated Node #3: [27, 52] from Operation: 4*13=52
Current State: 79:[27, 52], Operations: ['11+2=13', '4*13=52']
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[4, 11, 2, 27], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [4, 11, 54]
Generated Node #0,0: 79:[4, 11, 54] Operation: 2*27=54
Exploring Operation: 4*11=44, Resulting Numbers: [2, 27, 44]
Generated Node #0,1: 79:[2, 27, 44] Operation: 4*11=44
Moving to Node #0,1
Current State: 79:[2, 27, 44], Operations: ['4*11=44']
Exploring Operation: 2*44=88, Resulting Numbers: [27, 88]
Generated Node #0,1,0: 79:[27, 88] Operation: 2*44=88
Exploring Operation: 2*27=54, Resulting Numbers: [44, 54]
Generated Node #0,1,1: 79:[44, 54] Operation: 2*27=54
Moving to Node #0,0
Current State: 79:[4, 11, 54], Operations: ['2*27=54']
Exploring Operation: 4+11=15, Resulting Numbers: [54, 15]
Generated Node #0,0,0: 79:[54, 15] Operation: 4+11=15
Exploring Operation: 4*11=44, Resulting Numbers: [54, 44]
Generated Node #0,0,1: 79:[54, 44] Operation: 4*11=44
Moving to Node #0,1,1
Current State: 79:[44, 54], Operations: ['4*11=44', '2*27=54']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 44+54=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[54, 44], Operations: ['2*27=54', '4*11=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[27, 88], Operations: ['4*11=44', '2*44=88']
Exploring Operation: 27+88=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[54, 15], Operations: ['2*27=54', '4+11=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,79 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
50,
73,
97,
13
] | 13 | [
"50+73=123",
"97+13=110",
"123-110=13"
] | Current State: 13:[50, 73, 97, 13], Operations: []
Exploring Operation: 50+73=123, Resulting Numbers: [97, 13, 123]
Generated Node #2: [97, 13, 123] from Operation: 50+73=123
Current State: 13:[97, 13, 123], Operations: ['50+73=123']
Exploring Operation: 97+13=110, Resulting Numbers: [123, 110]
Generated Node #3: [123, 110] from Operation: 97+13=110
Current State: 13:[123, 110], Operations: ['50+73=123', '97+13=110']
Exploring Operation: 123-110=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[50, 73, 97, 13], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [73, 13, 47]
Generated Node #0,0: 13:[73, 13, 47] Operation: 97-50=47
Exploring Operation: 73-50=23, Resulting Numbers: [97, 13, 23]
Generated Node #0,1: 13:[97, 13, 23] Operation: 73-50=23
Exploring Operation: 97-73=24, Resulting Numbers: [50, 13, 24]
Generated Node #0,2: 13:[50, 13, 24] Operation: 97-73=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[50, 13, 24], Operations: ['97-73=24']
Exploring Operation: 50-13=37, Resulting Numbers: [24, 37]
Generated Node #0,2,0: 13:[24, 37] Operation: 50-13=37
Exploring Operation: 24-13=11, Resulting Numbers: [50, 11]
Generated Node #0,2,1: 13:[50, 11] Operation: 24-13=11
Exploring Operation: 50-24=26, Resulting Numbers: [13, 26]
Generated Node #0,2,2: 13:[13, 26] Operation: 50-24=26
Moving to Node #0,2,2
Current State: 13:[13, 26], Operations: ['97-73=24', '50-24=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[50, 73, 97, 13], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [50, 13, 24]
Generated Node #0,2: 13:[50, 13, 24] Operation: 97-73=24
Moving to Node #0,2
Current State: 13:[50, 13, 24], Operations: ['97-73=24']
Exploring Operation: 50-24=26, Resulting Numbers: [13, 26]
Generated Node #0,2,2: 13:[13, 26] Operation: 50-24=26
Moving to Node #0,2,2
Current State: 13:[13, 26], Operations: ['97-73=24', '50-24=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
88,
1,
43,
43
] | 90 | [
"88+1=89",
"43/43=1",
"89+1=90"
] | Current State: 90:[88, 1, 43, 43], Operations: []
Exploring Operation: 88+1=89, Resulting Numbers: [43, 43, 89]
Generated Node #2: [43, 43, 89] from Operation: 88+1=89
Current State: 90:[43, 43, 89], Operations: ['88+1=89']
Exploring Operation: 43/43=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 43/43=1
Current State: 90:[89, 1], Operations: ['88+1=89', '43/43=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[88, 1, 43, 43], Operations: []
Exploring Operation: 88-43=45, Resulting Numbers: [1, 43, 45]
Generated Node #0,0: 90:[1, 43, 45] Operation: 88-43=45
Exploring Operation: 88-43=45, Resulting Numbers: [1, 43, 45]
Generated Node #0,1: 90:[1, 43, 45] Operation: 88-43=45
Moving to Node #0,0
Current State: 90:[1, 43, 45], Operations: ['88-43=45']
Exploring Operation: 45-43=2, Resulting Numbers: [1, 2]
Generated Node #0,0,0: 90:[1, 2] Operation: 45-43=2
Exploring Operation: 1+43=44, Resulting Numbers: [45, 44]
Generated Node #0,0,1: 90:[45, 44] Operation: 1+43=44
Moving to Node #0,1
Current State: 90:[1, 43, 45], Operations: ['88-43=45']
Exploring Operation: 1+43=44, Resulting Numbers: [45, 44]
Generated Node #0,1,0: 90:[45, 44] Operation: 1+43=44
Exploring Operation: 45-43=2, Resulting Numbers: [1, 2]
Generated Node #0,1,1: 90:[1, 2] Operation: 45-43=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[45, 44], Operations: ['88-43=45', '1+43=44']
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,90 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[1, 2], Operations: ['88-43=45', '45-43=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,90 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:[1, 2], Operations: ['88-43=45', '45-43=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[45, 44], Operations: ['88-43=45', '1+43=44']
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,90 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
88,
12,
96,
72
] | 78 | [
"88*72=6336",
"6336/96=66",
"12+66=78"
] | Current State: 78:[88, 12, 96, 72], Operations: []
Exploring Operation: 88*72=6336, Resulting Numbers: [12, 96, 6336]
Generated Node #2: [12, 96, 6336] from Operation: 88*72=6336
Current State: 78:[12, 96, 6336], Operations: ['88*72=6336']
Exploring Operation: 6336/96=66, Resulting Numbers: [12, 66]
Generated Node #3: [12, 66] from Operation: 6336/96=66
Current State: 78:[12, 66], Operations: ['88*72=6336', '6336/96=66']
Exploring Operation: 12+66=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[88, 12, 96, 72], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [88, 12, 24]
Generated Node #0,0: 78:[88, 12, 24] Operation: 96-72=24
Exploring Operation: 96-88=8, Resulting Numbers: [12, 72, 8]
Generated Node #0,1: 78:[12, 72, 8] Operation: 96-88=8
Exploring Operation: 96/12=8, Resulting Numbers: [88, 72, 8]
Generated Node #0,2: 78:[88, 72, 8] Operation: 96/12=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[12, 72, 8], Operations: ['96-88=8']
Exploring Operation: 72+8=80, Resulting Numbers: [12, 80]
Generated Node #0,1,0: 78:[12, 80] Operation: 72+8=80
Exploring Operation: 72/12=6, Resulting Numbers: [8, 6]
Generated Node #0,1,1: 78:[8, 6] Operation: 72/12=6
Exploring Operation: 72/8=9, Resulting Numbers: [12, 9]
Generated Node #0,1,2: 78:[12, 9] Operation: 72/8=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[8, 6], Operations: ['96-88=8', '72/12=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[12, 80], Operations: ['96-88=8', '72+8=80']
Exploring Operation: 12*80=960, Resulting Numbers: [960]
960,78 unequal: No Solution
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,78 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 78:[12, 9], Operations: ['96-88=8', '72/8=9']
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[88, 12, 24], Operations: ['96-72=24']
Exploring Operation: 24-12=12, Resulting Numbers: [88, 12]
Generated Node #0,0,0: 78:[88, 12] Operation: 24-12=12
Exploring Operation: 88-12=76, Resulting Numbers: [24, 76]
Generated Node #0,0,1: 78:[24, 76] Operation: 88-12=76
Exploring Operation: 24/12=2, Resulting Numbers: [88, 2]
Generated Node #0,0,2: 78:[88, 2] Operation: 24/12=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[24, 76], Operations: ['96-72=24', '88-12=76']
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,78 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,78 unequal: No Solution
Exploring Operation: 24*76=1824, Resulting Numbers: [1824]
1824,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[88, 2], Operations: ['96-72=24', '24/12=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,78 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[88, 12], Operations: ['96-72=24', '24-12=12']
Exploring Operation: 88*12=1056, Resulting Numbers: [1056]
1056,78 unequal: No Solution
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 88+12=100, Resulting Numbers: [100]
100,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[88, 72, 8], Operations: ['96/12=8']
Exploring Operation: 88-72=16, Resulting Numbers: [8, 16]
Generated Node #0,2,0: 78:[8, 16] Operation: 88-72=16
Exploring Operation: 88/8=11, Resulting Numbers: [72, 11]
Generated Node #0,2,1: 78:[72, 11] Operation: 88/8=11
Exploring Operation: 88-8=80, Resulting Numbers: [72, 80]
Generated Node #0,2,2: 78:[72, 80] Operation: 88-8=80
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[8, 16], Operations: ['96/12=8', '88-72=16']
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[72, 11], Operations: ['96/12=8', '88/8=11']
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,78 unequal: No Solution
Exploring Operation: 72*11=792, Resulting Numbers: [792]
792,78 unequal: No Solution
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[72, 80], Operations: ['96/12=8', '88-8=80']
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,78 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 72*80=5760, Resulting Numbers: [5760]
5760,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
83,
42,
78,
69
] | 98 | [
"83+78=161",
"42*161=6762",
"6762/69=98"
] | Current State: 98:[83, 42, 78, 69], Operations: []
Exploring Operation: 83+78=161, Resulting Numbers: [42, 69, 161]
Generated Node #2: [42, 69, 161] from Operation: 83+78=161
Current State: 98:[42, 69, 161], Operations: ['83+78=161']
Exploring Operation: 42*161=6762, Resulting Numbers: [69, 6762]
Generated Node #3: [69, 6762] from Operation: 42*161=6762
Current State: 98:[69, 6762], Operations: ['83+78=161', '42*161=6762']
Exploring Operation: 6762/69=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[83, 42, 78, 69], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [83, 42, 9]
Generated Node #0,0: 98:[83, 42, 9] Operation: 78-69=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[83, 42, 9], Operations: ['78-69=9']
Exploring Operation: 83-42=41, Resulting Numbers: [9, 41]
Generated Node #0,0,0: 98:[9, 41] Operation: 83-42=41
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[9, 41], Operations: ['78-69=9', '83-42=41']
Exploring Operation: 9+41=50, Resulting Numbers: [50]
50,98 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 |
[
38,
84,
78,
51
] | 73 | [
"84-38=46",
"78-51=27",
"46+27=73"
] | Current State: 73:[38, 84, 78, 51], Operations: []
Exploring Operation: 84-38=46, Resulting Numbers: [78, 51, 46]
Generated Node #2: [78, 51, 46] from Operation: 84-38=46
Current State: 73:[78, 51, 46], Operations: ['84-38=46']
Exploring Operation: 78-51=27, Resulting Numbers: [46, 27]
Generated Node #3: [46, 27] from Operation: 78-51=27
Current State: 73:[46, 27], Operations: ['84-38=46', '78-51=27']
Exploring Operation: 46+27=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[38, 84, 78, 51], Operations: []
Exploring Operation: 38+84=122, Resulting Numbers: [78, 51, 122]
Generated Node #0,0: 73:[78, 51, 122] Operation: 38+84=122
Exploring Operation: 38+78=116, Resulting Numbers: [84, 51, 116]
Generated Node #0,1: 73:[84, 51, 116] Operation: 38+78=116
Exploring Operation: 84-38=46, Resulting Numbers: [78, 51, 46]
Generated Node #0,2: 73:[78, 51, 46] Operation: 84-38=46
Exploring Operation: 78-38=40, Resulting Numbers: [84, 51, 40]
Generated Node #0,3: 73:[84, 51, 40] Operation: 78-38=40
Exploring Operation: 38+51=89, Resulting Numbers: [84, 78, 89]
Generated Node #0,4: 73:[84, 78, 89] Operation: 38+51=89
Start Sub Search at level 1: Moving to Node #0,4
Current State: 73:[84, 78, 89], Operations: ['38+51=89']
Exploring Operation: 89-84=5, Resulting Numbers: [78, 5]
Generated Node #0,4,0: 73:[78, 5] Operation: 89-84=5
Exploring Operation: 84+89=173, Resulting Numbers: [78, 173]
Generated Node #0,4,1: 73:[78, 173] Operation: 84+89=173
Exploring Operation: 84-78=6, Resulting Numbers: [89, 6]
Generated Node #0,4,2: 73:[89, 6] Operation: 84-78=6
Exploring Operation: 89-78=11, Resulting Numbers: [84, 11]
Generated Node #0,4,3: 73:[84, 11] Operation: 89-78=11
Exploring Operation: 84+78=162, Resulting Numbers: [89, 162]
Generated Node #0,4,4: 73:[89, 162] Operation: 84+78=162
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 73:[78, 5], Operations: ['38+51=89', '89-84=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,73 unequal: No Solution
Exploring Operation: 78*5=390, Resulting Numbers: [390]
390,73 unequal: No Solution
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[38, 84, 78, 51], Operations: []
Exploring Operation: 38+51=89, Resulting Numbers: [84, 78, 89]
Generated Node #0,4: 73:[84, 78, 89] Operation: 38+51=89
Moving to Node #0,4
Current State: 73:[84, 78, 89], Operations: ['38+51=89']
Exploring Operation: 89-84=5, Resulting Numbers: [78, 5]
Generated Node #0,4,0: 73:[78, 5] Operation: 89-84=5
Moving to Node #0,4,0
Current State: 73:[78, 5], Operations: ['38+51=89', '89-84=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
20,
24,
9,
31
] | 22 | [
"20+24=44",
"31-9=22",
"44-22=22"
] | Current State: 22:[20, 24, 9, 31], Operations: []
Exploring Operation: 20+24=44, Resulting Numbers: [9, 31, 44]
Generated Node #2: [9, 31, 44] from Operation: 20+24=44
Current State: 22:[9, 31, 44], Operations: ['20+24=44']
Exploring Operation: 31-9=22, Resulting Numbers: [44, 22]
Generated Node #3: [44, 22] from Operation: 31-9=22
Current State: 22:[44, 22], Operations: ['20+24=44', '31-9=22']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[20, 24, 9, 31], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [24, 9, 11]
Generated Node #0,0: 22:[24, 9, 11] Operation: 31-20=11
Moving to Node #0,0
Current State: 22:[24, 9, 11], Operations: ['31-20=11']
Exploring Operation: 11-9=2, Resulting Numbers: [24, 2]
Generated Node #0,0,0: 22:[24, 2] Operation: 11-9=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[24, 2], Operations: ['31-20=11', '11-9=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[20, 24, 9, 31], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [24, 9, 11]
Generated Node #0,0: 22:[24, 9, 11] Operation: 31-20=11
Moving to Node #0,0
Current State: 22:[24, 9, 11], Operations: ['31-20=11']
Exploring Operation: 11-9=2, Resulting Numbers: [24, 2]
Generated Node #0,0,0: 22:[24, 2] Operation: 11-9=2
Moving to Node #0,0,0
Current State: 22:[24, 2], Operations: ['31-20=11', '11-9=2']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
47,
94,
97,
64
] | 37 | [
"47+64=111",
"97-94=3",
"111/3=37"
] | Current State: 37:[47, 94, 97, 64], Operations: []
Exploring Operation: 47+64=111, Resulting Numbers: [94, 97, 111]
Generated Node #2: [94, 97, 111] from Operation: 47+64=111
Current State: 37:[94, 97, 111], Operations: ['47+64=111']
Exploring Operation: 97-94=3, Resulting Numbers: [111, 3]
Generated Node #3: [111, 3] from Operation: 97-94=3
Current State: 37:[111, 3], Operations: ['47+64=111', '97-94=3']
Exploring Operation: 111/3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[47, 94, 97, 64], Operations: []
Exploring Operation: 97-64=33, Resulting Numbers: [47, 94, 33]
Generated Node #0,0: 37:[47, 94, 33] Operation: 97-64=33
Exploring Operation: 94-47=47, Resulting Numbers: [97, 64, 47]
Generated Node #0,1: 37:[97, 64, 47] Operation: 94-47=47
Exploring Operation: 94-64=30, Resulting Numbers: [47, 97, 30]
Generated Node #0,2: 37:[47, 97, 30] Operation: 94-64=30
Exploring Operation: 97-94=3, Resulting Numbers: [47, 64, 3]
Generated Node #0,3: 37:[47, 64, 3] Operation: 97-94=3
Moving to Node #0,0
Current State: 37:[47, 94, 33], Operations: ['97-64=33']
Exploring Operation: 94-33=61, Resulting Numbers: [47, 61]
Generated Node #0,0,0: 37:[47, 61] Operation: 94-33=61
Exploring Operation: 47-33=14, Resulting Numbers: [94, 14]
Generated Node #0,0,1: 37:[94, 14] Operation: 47-33=14
Exploring Operation: 94-47=47, Resulting Numbers: [33, 47]
Generated Node #0,0,2: 37:[33, 47] Operation: 94-47=47
Exploring Operation: 94/47=2, Resulting Numbers: [33, 2]
Generated Node #0,0,3: 37:[33, 2] Operation: 94/47=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[33, 47], Operations: ['97-64=33', '94-47=47']
Exploring Operation: 33+47=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 33*47=1551, Resulting Numbers: [1551]
1551,37 unequal: No Solution
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[47, 61], Operations: ['97-64=33', '94-33=61']
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 37:[33, 2], Operations: ['97-64=33', '94/47=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,37 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,37 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[94, 14], Operations: ['97-64=33', '47-33=14']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 94+14=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 94*14=1316, Resulting Numbers: [1316]
1316,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 37:[47, 64, 3], Operations: ['97-94=3']
Exploring Operation: 64+3=67, Resulting Numbers: [47, 67]
Generated Node #0,3,0: 37:[47, 67] Operation: 64+3=67
Exploring Operation: 47+3=50, Resulting Numbers: [64, 50]
Generated Node #0,3,1: 37:[64, 50] Operation: 47+3=50
Exploring Operation: 47-3=44, Resulting Numbers: [64, 44]
Generated Node #0,3,2: 37:[64, 44] Operation: 47-3=44
Exploring Operation: 64-3=61, Resulting Numbers: [47, 61]
Generated Node #0,3,3: 37:[47, 61] Operation: 64-3=61
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 37:[64, 44], Operations: ['97-94=3', '47-3=44']
Exploring Operation: 64*44=2816, Resulting Numbers: [2816]
2816,37 unequal: No Solution
Exploring Operation: 64+44=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 37:[47, 61], Operations: ['97-94=3', '64-3=61']
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,37 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 37:[47, 67], Operations: ['97-94=3', '64+3=67']
Exploring Operation: 47*67=3149, Resulting Numbers: [3149]
3149,37 unequal: No Solution
Exploring Operation: 47+67=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 37:[64, 50], Operations: ['97-94=3', '47+3=50']
Exploring Operation: 64*50=3200, Resulting Numbers: [3200]
3200,37 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 64+50=114, Resulting Numbers: [114]
114,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 37:[47, 97, 30], Operations: ['94-64=30']
Exploring Operation: 47-30=17, Resulting Numbers: [97, 17]
Generated Node #0,2,0: 37:[97, 17] Operation: 47-30=17
Exploring Operation: 97-30=67, Resulting Numbers: [47, 67]
Generated Node #0,2,1: 37:[47, 67] Operation: 97-30=67
Exploring Operation: 97-47=50, Resulting Numbers: [30, 50]
Generated Node #0,2,2: 37:[30, 50] Operation: 97-47=50
Exploring Operation: 47+30=77, Resulting Numbers: [97, 77]
Generated Node #0,2,3: 37:[97, 77] Operation: 47+30=77
Moving to Node #0,1
Current State: 37:[97, 64, 47], Operations: ['94-47=47']
Exploring Operation: 64-47=17, Resulting Numbers: [97, 17]
Generated Node #0,1,0: 37:[97, 17] Operation: 64-47=17
Exploring Operation: 97-47=50, Resulting Numbers: [64, 50]
Generated Node #0,1,1: 37:[64, 50] Operation: 97-47=50
Exploring Operation: 97-64=33, Resulting Numbers: [47, 33]
Generated Node #0,1,2: 37:[47, 33] Operation: 97-64=33
Exploring Operation: 97+64=161, Resulting Numbers: [47, 161]
Generated Node #0,1,3: 37:[47, 161] Operation: 97+64=161
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 37:[47, 33], Operations: ['94-47=47', '97-64=33']
Exploring Operation: 47+33=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 47*33=1551, Resulting Numbers: [1551]
1551,37 unequal: No Solution
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[64, 50], Operations: ['94-47=47', '97-47=50']
Exploring Operation: 64+50=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 64*50=3200, Resulting Numbers: [3200]
3200,37 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[97, 17], Operations: ['94-47=47', '64-47=17']
Exploring Operation: 97*17=1649, Resulting Numbers: [1649]
1649,37 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 97+17=114, Resulting Numbers: [114]
114,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 37:[47, 161], Operations: ['94-47=47', '97+64=161']
Exploring Operation: 47*161=7567, Resulting Numbers: [7567]
7567,37 unequal: No Solution
Exploring Operation: 47+161=208, Resulting Numbers: [208]
208,37 unequal: No Solution
Exploring Operation: 161-47=114, Resulting Numbers: [114]
114,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 37:[30, 50], Operations: ['94-64=30', '97-47=50']
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,37 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[47, 67], Operations: ['94-64=30', '97-30=67']
Exploring Operation: 47+67=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 47*67=3149, Resulting Numbers: [3149]
3149,37 unequal: No Solution
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[97, 17], Operations: ['94-64=30', '47-30=17']
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 97*17=1649, Resulting Numbers: [1649]
1649,37 unequal: No Solution
Exploring Operation: 97+17=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[97, 77], Operations: ['94-64=30', '47+30=77']
Exploring Operation: 97*77=7469, Resulting Numbers: [7469]
7469,37 unequal: No Solution
Exploring Operation: 97-77=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Exploring Operation: 97+77=174, Resulting Numbers: [174]
174,37 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
30,
54,
73,
96
] | 77 | [
"54-30=24",
"96/24=4",
"73+4=77"
] | Current State: 77:[30, 54, 73, 96], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [73, 96, 24]
Generated Node #2: [73, 96, 24] from Operation: 54-30=24
Current State: 77:[73, 96, 24], Operations: ['54-30=24']
Exploring Operation: 96/24=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 96/24=4
Current State: 77:[73, 4], Operations: ['54-30=24', '96/24=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[30, 54, 73, 96], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [73, 96, 24]
Generated Node #0,0: 77:[73, 96, 24] Operation: 54-30=24
Exploring Operation: 96-30=66, Resulting Numbers: [54, 73, 66]
Generated Node #0,1: 77:[54, 73, 66] Operation: 96-30=66
Exploring Operation: 30+54=84, Resulting Numbers: [73, 96, 84]
Generated Node #0,2: 77:[73, 96, 84] Operation: 30+54=84
Moving to Node #0,2
Current State: 77:[73, 96, 84], Operations: ['30+54=84']
Exploring Operation: 96-84=12, Resulting Numbers: [73, 12]
Generated Node #0,2,0: 77:[73, 12] Operation: 96-84=12
Exploring Operation: 84-73=11, Resulting Numbers: [96, 11]
Generated Node #0,2,1: 77:[96, 11] Operation: 84-73=11
Exploring Operation: 96-73=23, Resulting Numbers: [84, 23]
Generated Node #0,2,2: 77:[84, 23] Operation: 96-73=23
Moving to Node #0,0
Current State: 77:[73, 96, 24], Operations: ['54-30=24']
Exploring Operation: 96/24=4, Resulting Numbers: [73, 4]
Generated Node #0,0,0: 77:[73, 4] Operation: 96/24=4
Exploring Operation: 96-24=72, Resulting Numbers: [73, 72]
Generated Node #0,0,1: 77:[73, 72] Operation: 96-24=72
Exploring Operation: 96-73=23, Resulting Numbers: [24, 23]
Generated Node #0,0,2: 77:[24, 23] Operation: 96-73=23
Moving to Node #0,1
Current State: 77:[54, 73, 66], Operations: ['96-30=66']
Exploring Operation: 73-54=19, Resulting Numbers: [66, 19]
Generated Node #0,1,0: 77:[66, 19] Operation: 73-54=19
Exploring Operation: 66-54=12, Resulting Numbers: [73, 12]
Generated Node #0,1,1: 77:[73, 12] Operation: 66-54=12
Exploring Operation: 73-66=7, Resulting Numbers: [54, 7]
Generated Node #0,1,2: 77:[54, 7] Operation: 73-66=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[73, 12], Operations: ['96-30=66', '66-54=12']
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,77 unequal: No Solution
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,77 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,77 unequal: No Solution
No 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: 77:[66, 19], Operations: ['96-30=66', '73-54=19']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,77 unequal: No Solution
Exploring Operation: 66*19=1254, Resulting Numbers: [1254]
1254,77 unequal: No Solution
Exploring Operation: 66+19=85, Resulting Numbers: [85]
85,77 unequal: No Solution
No 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: 77:[54, 7], Operations: ['96-30=66', '73-66=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,77 unequal: No Solution
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,77 unequal: No Solution
Exploring Operation: 54*7=378, Resulting Numbers: [378]
378,77 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: 77:[73, 12], Operations: ['30+54=84', '96-84=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,77 unequal: No Solution
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,77 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[73, 4], Operations: ['54-30=24', '96/24=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[30, 54, 73, 96], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [73, 96, 24]
Generated Node #0,0: 77:[73, 96, 24] Operation: 54-30=24
Moving to Node #0,0
Current State: 77:[73, 96, 24], Operations: ['54-30=24']
Exploring Operation: 96/24=4, Resulting Numbers: [73, 4]
Generated Node #0,0,0: 77:[73, 4] Operation: 96/24=4
Moving to Node #0,0,0
Current State: 77:[73, 4], Operations: ['54-30=24', '96/24=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.974826 | hs_3 | sum_heuristic |
[
19,
32,
7,
76
] | 100 | [
"76/19=4",
"32-7=25",
"4*25=100"
] | Current State: 100:[19, 32, 7, 76], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [32, 7, 4]
Generated Node #2: [32, 7, 4] from Operation: 76/19=4
Current State: 100:[32, 7, 4], Operations: ['76/19=4']
Exploring Operation: 32-7=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 32-7=25
Current State: 100:[4, 25], Operations: ['76/19=4', '32-7=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[19, 32, 7, 76], Operations: []
Exploring Operation: 76-32=44, Resulting Numbers: [19, 7, 44]
Generated Node #0,0: 100:[19, 7, 44] Operation: 76-32=44
Exploring Operation: 32+76=108, Resulting Numbers: [19, 7, 108]
Generated Node #0,1: 100:[19, 7, 108] Operation: 32+76=108
Exploring Operation: 76/19=4, Resulting Numbers: [32, 7, 4]
Generated Node #0,2: 100:[32, 7, 4] Operation: 76/19=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[19, 7, 44], Operations: ['76-32=44']
Exploring Operation: 7+44=51, Resulting Numbers: [19, 51]
Generated Node #0,0,0: 100:[19, 51] Operation: 7+44=51
Exploring Operation: 44-19=25, Resulting Numbers: [7, 25]
Generated Node #0,0,1: 100:[7, 25] Operation: 44-19=25
Exploring Operation: 19+7=26, Resulting Numbers: [44, 26]
Generated Node #0,0,2: 100:[44, 26] Operation: 19+7=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[19, 51], Operations: ['76-32=44', '7+44=51']
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[7, 25], Operations: ['76-32=44', '44-19=25']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 7*25=175, Resulting Numbers: [175]
175,100 unequal: No Solution
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 100:[44, 26], Operations: ['76-32=44', '19+7=26']
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,100 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[32, 7, 4], Operations: ['76/19=4']
Exploring Operation: 32-7=25, Resulting Numbers: [4, 25]
Generated Node #0,2,0: 100:[4, 25] Operation: 32-7=25
Exploring Operation: 32-4=28, Resulting Numbers: [7, 28]
Generated Node #0,2,1: 100:[7, 28] Operation: 32-4=28
Exploring Operation: 32/4=8, Resulting Numbers: [7, 8]
Generated Node #0,2,2: 100:[7, 8] Operation: 32/4=8
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 100:[4, 25], Operations: ['76/19=4', '32-7=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[19, 32, 7, 76], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [32, 7, 4]
Generated Node #0,2: 100:[32, 7, 4] Operation: 76/19=4
Moving to Node #0,2
Current State: 100:[32, 7, 4], Operations: ['76/19=4']
Exploring Operation: 32-7=25, Resulting Numbers: [4, 25]
Generated Node #0,2,0: 100:[4, 25] Operation: 32-7=25
Moving to Node #0,2,0
Current State: 100:[4, 25], Operations: ['76/19=4', '32-7=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
99,
47,
25,
94
] | 76 | [
"99-25=74",
"94/47=2",
"74+2=76"
] | Current State: 76:[99, 47, 25, 94], Operations: []
Exploring Operation: 99-25=74, Resulting Numbers: [47, 94, 74]
Generated Node #2: [47, 94, 74] from Operation: 99-25=74
Current State: 76:[47, 94, 74], Operations: ['99-25=74']
Exploring Operation: 94/47=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 94/47=2
Current State: 76:[74, 2], Operations: ['99-25=74', '94/47=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[99, 47, 25, 94], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [47, 25, 5]
Generated Node #0,0: 76:[47, 25, 5] Operation: 99-94=5
Moving to Node #0,0
Current State: 76:[47, 25, 5], Operations: ['99-94=5']
Exploring Operation: 47-25=22, Resulting Numbers: [5, 22]
Generated Node #0,0,0: 76:[5, 22] Operation: 47-25=22
Moving to Node #0,0,0
Current State: 76:[5, 22], Operations: ['99-94=5', '47-25=22']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,76 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
61,
26,
93,
77
] | 83 | [
"61+26=87",
"93+77=170",
"170-87=83"
] | Current State: 83:[61, 26, 93, 77], Operations: []
Exploring Operation: 61+26=87, Resulting Numbers: [93, 77, 87]
Generated Node #2: [93, 77, 87] from Operation: 61+26=87
Current State: 83:[93, 77, 87], Operations: ['61+26=87']
Exploring Operation: 93+77=170, Resulting Numbers: [87, 170]
Generated Node #3: [87, 170] from Operation: 93+77=170
Current State: 83:[87, 170], Operations: ['61+26=87', '93+77=170']
Exploring Operation: 170-87=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[61, 26, 93, 77], Operations: []
Exploring Operation: 93-26=67, Resulting Numbers: [61, 77, 67]
Generated Node #0,0: 83:[61, 77, 67] Operation: 93-26=67
Exploring Operation: 61+26=87, Resulting Numbers: [93, 77, 87]
Generated Node #0,1: 83:[93, 77, 87] Operation: 61+26=87
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[93, 77, 87], Operations: ['61+26=87']
Exploring Operation: 93-77=16, Resulting Numbers: [87, 16]
Generated Node #0,1,0: 83:[87, 16] Operation: 93-77=16
Exploring Operation: 93-87=6, Resulting Numbers: [77, 6]
Generated Node #0,1,1: 83:[77, 6] Operation: 93-87=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[87, 16], Operations: ['61+26=87', '93-77=16']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 87+16=103, Resulting Numbers: [103]
103,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[77, 6], Operations: ['61+26=87', '93-87=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[61, 26, 93, 77], Operations: []
Exploring Operation: 61+26=87, Resulting Numbers: [93, 77, 87]
Generated Node #0,1: 83:[93, 77, 87] Operation: 61+26=87
Moving to Node #0,1
Current State: 83:[93, 77, 87], Operations: ['61+26=87']
Exploring Operation: 93-87=6, Resulting Numbers: [77, 6]
Generated Node #0,1,1: 83:[77, 6] Operation: 93-87=6
Moving to Node #0,1,1
Current State: 83:[77, 6], Operations: ['61+26=87', '93-87=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
26,
65,
94,
40
] | 62 | [
"26+94=120",
"120/40=3",
"65-3=62"
] | Current State: 62:[26, 65, 94, 40], Operations: []
Exploring Operation: 26+94=120, Resulting Numbers: [65, 40, 120]
Generated Node #2: [65, 40, 120] from Operation: 26+94=120
Current State: 62:[65, 40, 120], Operations: ['26+94=120']
Exploring Operation: 120/40=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 120/40=3
Current State: 62:[65, 3], Operations: ['26+94=120', '120/40=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[26, 65, 94, 40], Operations: []
Exploring Operation: 94-26=68, Resulting Numbers: [65, 40, 68]
Generated Node #0,0: 62:[65, 40, 68] Operation: 94-26=68
Exploring Operation: 94-40=54, Resulting Numbers: [26, 65, 54]
Generated Node #0,1: 62:[26, 65, 54] Operation: 94-40=54
Exploring Operation: 26+40=66, Resulting Numbers: [65, 94, 66]
Generated Node #0,2: 62:[65, 94, 66] Operation: 26+40=66
Exploring Operation: 94-65=29, Resulting Numbers: [26, 40, 29]
Generated Node #0,3: 62:[26, 40, 29] Operation: 94-65=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[26, 65, 54], Operations: ['94-40=54']
Exploring Operation: 65-54=11, Resulting Numbers: [26, 11]
Generated Node #0,1,0: 62:[26, 11] Operation: 65-54=11
Exploring Operation: 65-26=39, Resulting Numbers: [54, 39]
Generated Node #0,1,1: 62:[54, 39] Operation: 65-26=39
Exploring Operation: 26+54=80, Resulting Numbers: [65, 80]
Generated Node #0,1,2: 62:[65, 80] Operation: 26+54=80
Exploring Operation: 54-26=28, Resulting Numbers: [65, 28]
Generated Node #0,1,3: 62:[65, 28] Operation: 54-26=28
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 62:[65, 28], Operations: ['94-40=54', '54-26=28']
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 65*28=1820, Resulting Numbers: [1820]
1820,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[26, 11], Operations: ['94-40=54', '65-54=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,62 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[54, 39], Operations: ['94-40=54', '65-26=39']
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 54*39=2106, Resulting Numbers: [2106]
2106,62 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[65, 80], Operations: ['94-40=54', '26+54=80']
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 65*80=5200, Resulting Numbers: [5200]
5200,62 unequal: No Solution
Exploring Operation: 65+80=145, Resulting Numbers: [145]
145,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[26, 40, 29], Operations: ['94-65=29']
Exploring Operation: 26+40=66, Resulting Numbers: [29, 66]
Generated Node #0,3,0: 62:[29, 66] Operation: 26+40=66
Exploring Operation: 40-26=14, Resulting Numbers: [29, 14]
Generated Node #0,3,1: 62:[29, 14] Operation: 40-26=14
Exploring Operation: 40+29=69, Resulting Numbers: [26, 69]
Generated Node #0,3,2: 62:[26, 69] Operation: 40+29=69
Exploring Operation: 29-26=3, Resulting Numbers: [40, 3]
Generated Node #0,3,3: 62:[40, 3] Operation: 29-26=3
Moving to Node #0,3,0
Current State: 62:[29, 66], Operations: ['94-65=29', '26+40=66']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 29*66=1914, Resulting Numbers: [1914]
1914,62 unequal: No Solution
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[40, 3], Operations: ['94-65=29', '29-26=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,62 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[26, 69], Operations: ['94-65=29', '40+29=69']
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[29, 14], Operations: ['94-65=29', '40-26=14']
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,62 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[65, 40, 68], Operations: ['94-26=68']
Exploring Operation: 68-40=28, Resulting Numbers: [65, 28]
Generated Node #0,0,0: 62:[65, 28] Operation: 68-40=28
Exploring Operation: 68-65=3, Resulting Numbers: [40, 3]
Generated Node #0,0,1: 62:[40, 3] Operation: 68-65=3
Exploring Operation: 65-40=25, Resulting Numbers: [68, 25]
Generated Node #0,0,2: 62:[68, 25] Operation: 65-40=25
Exploring Operation: 65+40=105, Resulting Numbers: [68, 105]
Generated Node #0,0,3: 62:[68, 105] Operation: 65+40=105
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[65, 28], Operations: ['94-26=68', '68-40=28']
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 65*28=1820, Resulting Numbers: [1820]
1820,62 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[40, 3], Operations: ['94-26=68', '68-65=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,62 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[68, 25], Operations: ['94-26=68', '65-40=25']
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 68*25=1700, Resulting Numbers: [1700]
1700,62 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 62:[68, 105], Operations: ['94-26=68', '65+40=105']
Exploring Operation: 68+105=173, Resulting Numbers: [173]
173,62 unequal: No Solution
Exploring Operation: 68*105=7140, Resulting Numbers: [7140]
7140,62 unequal: No Solution
Exploring Operation: 105-68=37, Resulting Numbers: [37]
37,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[65, 94, 66], Operations: ['26+40=66']
Exploring Operation: 66-65=1, Resulting Numbers: [94, 1]
Generated Node #0,2,0: 62:[94, 1] Operation: 66-65=1
Exploring Operation: 94-65=29, Resulting Numbers: [66, 29]
Generated Node #0,2,1: 62:[66, 29] Operation: 94-65=29
Exploring Operation: 65+94=159, Resulting Numbers: [66, 159]
Generated Node #0,2,2: 62:[66, 159] Operation: 65+94=159
Exploring Operation: 94-66=28, Resulting Numbers: [65, 28]
Generated Node #0,2,3: 62:[65, 28] Operation: 94-66=28
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[66, 29], Operations: ['26+40=66', '94-65=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 62:[65, 28], Operations: ['26+40=66', '94-66=28']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 65*28=1820, Resulting Numbers: [1820]
1820,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[94, 1], Operations: ['26+40=66', '66-65=1']
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,62 unequal: No Solution
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,62 unequal: No Solution
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,62 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[66, 159], Operations: ['26+40=66', '65+94=159']
Exploring Operation: 66+159=225, Resulting Numbers: [225]
225,62 unequal: No Solution
Exploring Operation: 159-66=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 66*159=10494, Resulting Numbers: [10494]
10494,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
59,
11,
69,
29
] | 88 | [
"59-11=48",
"69-29=40",
"48+40=88"
] | Current State: 88:[59, 11, 69, 29], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [69, 29, 48]
Generated Node #2: [69, 29, 48] from Operation: 59-11=48
Current State: 88:[69, 29, 48], Operations: ['59-11=48']
Exploring Operation: 69-29=40, Resulting Numbers: [48, 40]
Generated Node #3: [48, 40] from Operation: 69-29=40
Current State: 88:[48, 40], Operations: ['59-11=48', '69-29=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[59, 11, 69, 29], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [11, 29, 10]
Generated Node #0,0: 88:[11, 29, 10] Operation: 69-59=10
Exploring Operation: 59+29=88, Resulting Numbers: [11, 69, 88]
Generated Node #0,1: 88:[11, 69, 88] Operation: 59+29=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[11, 29, 10], Operations: ['69-59=10']
Exploring Operation: 29-10=19, Resulting Numbers: [11, 19]
Generated Node #0,0,0: 88:[11, 19] Operation: 29-10=19
Exploring Operation: 11+29=40, Resulting Numbers: [10, 40]
Generated Node #0,0,1: 88:[10, 40] Operation: 11+29=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[11, 19], Operations: ['69-59=10', '29-10=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[10, 40], Operations: ['69-59=10', '11+29=40']
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[11, 69, 88], Operations: ['59+29=88']
Exploring Operation: 11+69=80, Resulting Numbers: [88, 80]
Generated Node #0,1,0: 88:[88, 80] Operation: 11+69=80
Exploring Operation: 88-69=19, Resulting Numbers: [11, 19]
Generated Node #0,1,1: 88:[11, 19] Operation: 88-69=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 88:[11, 19], Operations: ['59+29=88', '88-69=19']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 88:[88, 80], Operations: ['59+29=88', '11+69=80']
Exploring Operation: 88-80=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 88+80=168, Resulting Numbers: [168]
168,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
56,
62,
66,
43
] | 52 | [
"56-43=13",
"66-62=4",
"13*4=52"
] | Current State: 52:[56, 62, 66, 43], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [62, 66, 13]
Generated Node #2: [62, 66, 13] from Operation: 56-43=13
Current State: 52:[62, 66, 13], Operations: ['56-43=13']
Exploring Operation: 66-62=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 66-62=4
Current State: 52:[13, 4], Operations: ['56-43=13', '66-62=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[56, 62, 66, 43], Operations: []
Exploring Operation: 66-43=23, Resulting Numbers: [56, 62, 23]
Generated Node #0,0: 52:[56, 62, 23] Operation: 66-43=23
Exploring Operation: 66-56=10, Resulting Numbers: [62, 43, 10]
Generated Node #0,1: 52:[62, 43, 10] Operation: 66-56=10
Exploring Operation: 56-43=13, Resulting Numbers: [62, 66, 13]
Generated Node #0,2: 52:[62, 66, 13] Operation: 56-43=13
Exploring Operation: 62-43=19, Resulting Numbers: [56, 66, 19]
Generated Node #0,3: 52:[56, 66, 19] Operation: 62-43=19
Exploring Operation: 66-62=4, Resulting Numbers: [56, 43, 4]
Generated Node #0,4: 52:[56, 43, 4] Operation: 66-62=4
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[56, 43, 4], Operations: ['66-62=4']
Exploring Operation: 56-43=13, Resulting Numbers: [4, 13]
Generated Node #0,4,0: 52:[4, 13] Operation: 56-43=13
Exploring Operation: 43+4=47, Resulting Numbers: [56, 47]
Generated Node #0,4,1: 52:[56, 47] Operation: 43+4=47
Exploring Operation: 56+4=60, Resulting Numbers: [43, 60]
Generated Node #0,4,2: 52:[43, 60] Operation: 56+4=60
Exploring Operation: 56/4=14, Resulting Numbers: [43, 14]
Generated Node #0,4,3: 52:[43, 14] Operation: 56/4=14
Exploring Operation: 56-4=52, Resulting Numbers: [43, 52]
Generated Node #0,4,4: 52:[43, 52] Operation: 56-4=52
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 52:[4, 13], Operations: ['66-62=4', '56-43=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[56, 62, 66, 43], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [56, 43, 4]
Generated Node #0,4: 52:[56, 43, 4] Operation: 66-62=4
Moving to Node #0,4
Current State: 52:[56, 43, 4], Operations: ['66-62=4']
Exploring Operation: 56-43=13, Resulting Numbers: [4, 13]
Generated Node #0,4,0: 52:[4, 13] Operation: 56-43=13
Moving to Node #0,4,0
Current State: 52:[4, 13], Operations: ['66-62=4', '56-43=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
65,
3,
99,
3
] | 93 | [
"65+3=68",
"99-68=31",
"3*31=93"
] | Current State: 93:[65, 3, 99, 3], Operations: []
Exploring Operation: 65+3=68, Resulting Numbers: [99, 68]
Generated Node #2: [99, 68] from Operation: 65+3=68
Current State: 93:[99, 68], Operations: ['65+3=68']
Exploring Operation: 99-68=31, Resulting Numbers: [31]
31,93 equal: Goal Reached
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[65, 3, 99, 3], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [65, 3, 33]
Generated Node #0,0: 93:[65, 3, 33] Operation: 99/3=33
Exploring Operation: 99/3=33, Resulting Numbers: [65, 3, 33]
Generated Node #0,1: 93:[65, 3, 33] Operation: 99/3=33
Exploring Operation: 99-65=34, Resulting Numbers: [3, 3, 34]
Generated Node #0,2: 93:[3, 3, 34] Operation: 99-65=34
Moving to Node #0,2
Current State: 93:[3, 3, 34], Operations: ['99-65=34']
Exploring Operation: 34-3=31, Resulting Numbers: [3, 31]
Generated Node #0,2,0: 93:[3, 31] Operation: 34-3=31
Exploring Operation: 34-3=31, Resulting Numbers: [3, 31]
Generated Node #0,2,1: 93:[3, 31] Operation: 34-3=31
Exploring Operation: 3/3=1, Resulting Numbers: [34, 1]
Generated Node #0,2,2: 93:[34, 1] Operation: 3/3=1
Moving to Node #0,0
Current State: 93:[65, 3, 33], Operations: ['99/3=33']
Exploring Operation: 65+33=98, Resulting Numbers: [3, 98]
Generated Node #0,0,0: 93:[3, 98] Operation: 65+33=98
Exploring Operation: 65-33=32, Resulting Numbers: [3, 32]
Generated Node #0,0,1: 93:[3, 32] Operation: 65-33=32
Exploring Operation: 65+3=68, Resulting Numbers: [33, 68]
Generated Node #0,0,2: 93:[33, 68] Operation: 65+3=68
Moving to Node #0,1
Current State: 93:[65, 3, 33], Operations: ['99/3=33']
Exploring Operation: 65+3=68, Resulting Numbers: [33, 68]
Generated Node #0,1,0: 93:[33, 68] Operation: 65+3=68
Exploring Operation: 65+33=98, Resulting Numbers: [3, 98]
Generated Node #0,1,1: 93:[3, 98] Operation: 65+33=98
Exploring Operation: 65-33=32, Resulting Numbers: [3, 32]
Generated Node #0,1,2: 93:[3, 32] Operation: 65-33=32
Moving to Node #0,2,0
Current State: 93:[3, 31], Operations: ['99-65=34', '34-3=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[65, 3, 99, 3], Operations: []
Exploring Operation: 99-65=34, Resulting Numbers: [3, 3, 34]
Generated Node #0,2: 93:[3, 3, 34] Operation: 99-65=34
Moving to Node #0,2
Current State: 93:[3, 3, 34], Operations: ['99-65=34']
Exploring Operation: 34-3=31, Resulting Numbers: [3, 31]
Generated Node #0,2,0: 93:[3, 31] Operation: 34-3=31
Moving to Node #0,2,0
Current State: 93:[3, 31], Operations: ['99-65=34', '34-3=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.984375 | hs_3 | sum_heuristic |
[
5,
32,
23,
28
] | 11 | [
"32+28=60",
"60/5=12",
"23-12=11"
] | Current State: 11:[5, 32, 23, 28], Operations: []
Exploring Operation: 32+28=60, Resulting Numbers: [5, 23, 60]
Generated Node #2: [5, 23, 60] from Operation: 32+28=60
Current State: 11:[5, 23, 60], Operations: ['32+28=60']
Exploring Operation: 60/5=12, Resulting Numbers: [23, 12]
Generated Node #3: [23, 12] from Operation: 60/5=12
Current State: 11:[23, 12], Operations: ['32+28=60', '60/5=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[5, 32, 23, 28], Operations: []
Exploring Operation: 32-23=9, Resulting Numbers: [5, 28, 9]
Generated Node #0,0: 11:[5, 28, 9] Operation: 32-23=9
Moving to Node #0,0
Current State: 11:[5, 28, 9], Operations: ['32-23=9']
Exploring Operation: 28-5=23, Resulting Numbers: [9, 23]
Generated Node #0,0,0: 11:[9, 23] Operation: 28-5=23
Moving to Node #0,0,0
Current State: 11:[9, 23], Operations: ['32-23=9', '28-5=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,11 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
46,
5,
41
] | 39 | [
"46-30=16",
"5*16=80",
"80-41=39"
] | Current State: 39:[30, 46, 5, 41], Operations: []
Exploring Operation: 46-30=16, Resulting Numbers: [5, 41, 16]
Generated Node #2: [5, 41, 16] from Operation: 46-30=16
Current State: 39:[5, 41, 16], Operations: ['46-30=16']
Exploring Operation: 5*16=80, Resulting Numbers: [41, 80]
Generated Node #3: [41, 80] from Operation: 5*16=80
Current State: 39:[41, 80], Operations: ['46-30=16', '5*16=80']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[30, 46, 5, 41], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [46, 41, 6]
Generated Node #0,0: 39:[46, 41, 6] Operation: 30/5=6
Exploring Operation: 41-30=11, Resulting Numbers: [46, 5, 11]
Generated Node #0,1: 39:[46, 5, 11] Operation: 41-30=11
Exploring Operation: 46-30=16, Resulting Numbers: [5, 41, 16]
Generated Node #0,2: 39:[5, 41, 16] Operation: 46-30=16
Exploring Operation: 30+5=35, Resulting Numbers: [46, 41, 35]
Generated Node #0,3: 39:[46, 41, 35] Operation: 30+5=35
Moving to Node #0,2
Current State: 39:[5, 41, 16], Operations: ['46-30=16']
Exploring Operation: 41-5=36, Resulting Numbers: [16, 36]
Generated Node #0,2,0: 39:[16, 36] Operation: 41-5=36
Exploring Operation: 16-5=11, Resulting Numbers: [41, 11]
Generated Node #0,2,1: 39:[41, 11] Operation: 16-5=11
Exploring Operation: 5+16=21, Resulting Numbers: [41, 21]
Generated Node #0,2,2: 39:[41, 21] Operation: 5+16=21
Exploring Operation: 5+41=46, Resulting Numbers: [16, 46]
Generated Node #0,2,3: 39:[16, 46] Operation: 5+41=46
Moving to Node #0,1
Current State: 39:[46, 5, 11], Operations: ['41-30=11']
Exploring Operation: 5+11=16, Resulting Numbers: [46, 16]
Generated Node #0,1,0: 39:[46, 16] Operation: 5+11=16
Exploring Operation: 46-5=41, Resulting Numbers: [11, 41]
Generated Node #0,1,1: 39:[11, 41] Operation: 46-5=41
Exploring Operation: 11-5=6, Resulting Numbers: [46, 6]
Generated Node #0,1,2: 39:[46, 6] Operation: 11-5=6
Exploring Operation: 46-11=35, Resulting Numbers: [5, 35]
Generated Node #0,1,3: 39:[5, 35] Operation: 46-11=35
Moving to Node #0,0
Current State: 39:[46, 41, 6], Operations: ['30/5=6']
Exploring Operation: 41-6=35, Resulting Numbers: [46, 35]
Generated Node #0,0,0: 39:[46, 35] Operation: 41-6=35
Exploring Operation: 46+6=52, Resulting Numbers: [41, 52]
Generated Node #0,0,1: 39:[41, 52] Operation: 46+6=52
Exploring Operation: 46-41=5, Resulting Numbers: [6, 5]
Generated Node #0,0,2: 39:[6, 5] Operation: 46-41=5
Exploring Operation: 46-6=40, Resulting Numbers: [41, 40]
Generated Node #0,0,3: 39:[41, 40] Operation: 46-6=40
Moving to Node #0,3
Current State: 39:[46, 41, 35], Operations: ['30+5=35']
Exploring Operation: 46+35=81, Resulting Numbers: [41, 81]
Generated Node #0,3,0: 39:[41, 81] Operation: 46+35=81
Exploring Operation: 46-35=11, Resulting Numbers: [41, 11]
Generated Node #0,3,1: 39:[41, 11] Operation: 46-35=11
Exploring Operation: 46-41=5, Resulting Numbers: [35, 5]
Generated Node #0,3,2: 39:[35, 5] Operation: 46-41=5
Exploring Operation: 41-35=6, Resulting Numbers: [46, 6]
Generated Node #0,3,3: 39:[46, 6] Operation: 41-35=6
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 39:[41, 11], Operations: ['30+5=35', '46-35=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 39:[35, 5], Operations: ['30+5=35', '46-41=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,39 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 39:[46, 6], Operations: ['30+5=35', '41-35=6']
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 39:[41, 81], Operations: ['30+5=35', '46+35=81']
Exploring Operation: 41*81=3321, Resulting Numbers: [3321]
3321,39 unequal: No Solution
Exploring Operation: 41+81=122, Resulting Numbers: [122]
122,39 unequal: No Solution
Exploring Operation: 81-41=40, Resulting Numbers: [40]
40,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 39:[41, 40], Operations: ['30/5=6', '46-6=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,39 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[41, 11], Operations: ['46-30=16', '16-5=11']
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[11, 41], Operations: ['41-30=11', '46-5=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,39 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[6, 5], Operations: ['30/5=6', '46-41=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[5, 35], Operations: ['41-30=11', '46-11=35']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,39 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[16, 36], Operations: ['46-30=16', '41-5=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[46, 16], Operations: ['41-30=11', '5+11=16']
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,39 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[41, 21], Operations: ['46-30=16', '5+16=21']
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,39 unequal: No Solution
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[16, 46], Operations: ['46-30=16', '5+41=46']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[46, 6], Operations: ['41-30=11', '11-5=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,39 unequal: No Solution
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[46, 35], Operations: ['30/5=6', '41-6=35']
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[41, 52], Operations: ['30/5=6', '46+6=52']
Exploring Operation: 41*52=2132, Resulting Numbers: [2132]
2132,39 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,39 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
68,
3,
2,
8
] | 94 | [
"68*3=204",
"204/2=102",
"102-8=94"
] | Current State: 94:[68, 3, 2, 8], Operations: []
Exploring Operation: 68*3=204, Resulting Numbers: [2, 8, 204]
Generated Node #2: [2, 8, 204] from Operation: 68*3=204
Current State: 94:[2, 8, 204], Operations: ['68*3=204']
Exploring Operation: 204/2=102, Resulting Numbers: [8, 102]
Generated Node #3: [8, 102] from Operation: 204/2=102
Current State: 94:[8, 102], Operations: ['68*3=204', '204/2=102']
Exploring Operation: 102-8=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[68, 3, 2, 8], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [3, 2, 60]
Generated Node #0,0: 94:[3, 2, 60] Operation: 68-8=60
Moving to Node #0,0
Current State: 94:[3, 2, 60], Operations: ['68-8=60']
Exploring Operation: 60-3=57, Resulting Numbers: [2, 57]
Generated Node #0,0,0: 94:[2, 57] Operation: 60-3=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[2, 57], Operations: ['68-8=60', '60-3=57']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,94 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 |
[
63,
17,
11,
87
] | 37 | [
"63+87=150",
"17*11=187",
"187-150=37"
] | Current State: 37:[63, 17, 11, 87], Operations: []
Exploring Operation: 63+87=150, Resulting Numbers: [17, 11, 150]
Generated Node #2: [17, 11, 150] from Operation: 63+87=150
Current State: 37:[17, 11, 150], Operations: ['63+87=150']
Exploring Operation: 17*11=187, Resulting Numbers: [150, 187]
Generated Node #3: [150, 187] from Operation: 17*11=187
Current State: 37:[150, 187], Operations: ['63+87=150', '17*11=187']
Exploring Operation: 187-150=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[63, 17, 11, 87], Operations: []
Exploring Operation: 63-17=46, Resulting Numbers: [11, 87, 46]
Generated Node #0,0: 37:[11, 87, 46] Operation: 63-17=46
Exploring Operation: 87-63=24, Resulting Numbers: [17, 11, 24]
Generated Node #0,1: 37:[17, 11, 24] Operation: 87-63=24
Moving to Node #0,1
Current State: 37:[17, 11, 24], Operations: ['87-63=24']
Exploring Operation: 17+11=28, Resulting Numbers: [24, 28]
Generated Node #0,1,0: 37:[24, 28] Operation: 17+11=28
Exploring Operation: 11+24=35, Resulting Numbers: [17, 35]
Generated Node #0,1,1: 37:[17, 35] Operation: 11+24=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[24, 28], Operations: ['87-63=24', '17+11=28']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[17, 35], Operations: ['87-63=24', '11+24=35']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,37 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 37:[11, 87, 46], Operations: ['63-17=46']
Exploring Operation: 87-46=41, Resulting Numbers: [11, 41]
Generated Node #0,0,0: 37:[11, 41] Operation: 87-46=41
Exploring Operation: 87-11=76, Resulting Numbers: [46, 76]
Generated Node #0,0,1: 37:[46, 76] Operation: 87-11=76
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[11, 41], Operations: ['63-17=46', '87-46=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,37 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[46, 76], Operations: ['63-17=46', '87-11=76']
Exploring Operation: 46+76=122, Resulting Numbers: [122]
122,37 unequal: No Solution
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,37 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 |
[
8,
30,
87,
8
] | 58 | [
"8/8=1",
"87-30=57",
"1+57=58"
] | Current State: 58:[8, 30, 87, 8], Operations: []
Exploring Operation: 8/8=1, Resulting Numbers: [30, 87, 1]
Generated Node #2: [30, 87, 1] from Operation: 8/8=1
Current State: 58:[30, 87, 1], Operations: ['8/8=1']
Exploring Operation: 87-30=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 87-30=57
Current State: 58:[1, 57], Operations: ['8/8=1', '87-30=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[8, 30, 87, 8], Operations: []
Exploring Operation: 87-8=79, Resulting Numbers: [8, 30, 79]
Generated Node #0,0: 58:[8, 30, 79] Operation: 87-8=79
Exploring Operation: 87-8=79, Resulting Numbers: [30, 8, 79]
Generated Node #0,1: 58:[30, 8, 79] Operation: 87-8=79
Exploring Operation: 8/8=1, Resulting Numbers: [30, 87, 1]
Generated Node #0,2: 58:[30, 87, 1] Operation: 8/8=1
Exploring Operation: 8-8=0, Resulting Numbers: [30, 87, 0]
Generated Node #0,3: 58:[30, 87, 0] Operation: 8-8=0
Exploring Operation: 87-30=57, Resulting Numbers: [8, 8, 57]
Generated Node #0,4: 58:[8, 8, 57] Operation: 87-30=57
Start Sub Search at level 1: Moving to Node #0,4
Current State: 58:[8, 8, 57], Operations: ['87-30=57']
Exploring Operation: 8-8=0, Resulting Numbers: [57, 0]
Generated Node #0,4,0: 58:[57, 0] Operation: 8-8=0
Exploring Operation: 8/8=1, Resulting Numbers: [57, 1]
Generated Node #0,4,1: 58:[57, 1] Operation: 8/8=1
Exploring Operation: 8+57=65, Resulting Numbers: [8, 65]
Generated Node #0,4,2: 58:[8, 65] Operation: 8+57=65
Exploring Operation: 8+57=65, Resulting Numbers: [8, 65]
Generated Node #0,4,3: 58:[8, 65] Operation: 8+57=65
Exploring Operation: 8*8=64, Resulting Numbers: [57, 64]
Generated Node #0,4,4: 58:[57, 64] Operation: 8*8=64
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 58:[57, 1], Operations: ['87-30=57', '8/8=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[8, 30, 87, 8], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [8, 8, 57]
Generated Node #0,4: 58:[8, 8, 57] Operation: 87-30=57
Moving to Node #0,4
Current State: 58:[8, 8, 57], Operations: ['87-30=57']
Exploring Operation: 8/8=1, Resulting Numbers: [57, 1]
Generated Node #0,4,1: 58:[57, 1] Operation: 8/8=1
Moving to Node #0,4,1
Current State: 58:[57, 1], Operations: ['87-30=57', '8/8=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
81,
42,
3,
51
] | 86 | [
"81+51=132",
"132/3=44",
"42+44=86"
] | Current State: 86:[81, 42, 3, 51], Operations: []
Exploring Operation: 81+51=132, Resulting Numbers: [42, 3, 132]
Generated Node #2: [42, 3, 132] from Operation: 81+51=132
Current State: 86:[42, 3, 132], Operations: ['81+51=132']
Exploring Operation: 132/3=44, Resulting Numbers: [42, 44]
Generated Node #3: [42, 44] from Operation: 132/3=44
Current State: 86:[42, 44], Operations: ['81+51=132', '132/3=44']
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[81, 42, 3, 51], Operations: []
Exploring Operation: 81+3=84, Resulting Numbers: [42, 51, 84]
Generated Node #0,0: 86:[42, 51, 84] Operation: 81+3=84
Moving to Node #0,0
Current State: 86:[42, 51, 84], Operations: ['81+3=84']
Exploring Operation: 84/42=2, Resulting Numbers: [51, 2]
Generated Node #0,0,0: 86:[51, 2] Operation: 84/42=2
Moving to Node #0,0,0
Current State: 86:[51, 2], Operations: ['81+3=84', '84/42=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,86 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
31,
56,
90,
84
] | 87 | [
"31+56=87",
"90+84=174",
"174-87=87"
] | Current State: 87:[31, 56, 90, 84], Operations: []
Exploring Operation: 31+56=87, Resulting Numbers: [90, 84, 87]
Generated Node #2: [90, 84, 87] from Operation: 31+56=87
Current State: 87:[90, 84, 87], Operations: ['31+56=87']
Exploring Operation: 90+84=174, Resulting Numbers: [87, 174]
Generated Node #3: [87, 174] from Operation: 90+84=174
Current State: 87:[87, 174], Operations: ['31+56=87', '90+84=174']
Exploring Operation: 174-87=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[31, 56, 90, 84], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [31, 90, 28]
Generated Node #0,0: 87:[31, 90, 28] Operation: 84-56=28
Exploring Operation: 90-56=34, Resulting Numbers: [31, 84, 34]
Generated Node #0,1: 87:[31, 84, 34] Operation: 90-56=34
Exploring Operation: 90-84=6, Resulting Numbers: [31, 56, 6]
Generated Node #0,2: 87:[31, 56, 6] Operation: 90-84=6
Exploring Operation: 31+56=87, Resulting Numbers: [90, 84, 87]
Generated Node #0,3: 87:[90, 84, 87] Operation: 31+56=87
Exploring Operation: 56-31=25, Resulting Numbers: [90, 84, 25]
Generated Node #0,4: 87:[90, 84, 25] Operation: 56-31=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[31, 90, 28], Operations: ['84-56=28']
Exploring Operation: 31-28=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 87:[90, 3] Operation: 31-28=3
Exploring Operation: 31+28=59, Resulting Numbers: [90, 59]
Generated Node #0,0,1: 87:[90, 59] Operation: 31+28=59
Exploring Operation: 90-31=59, Resulting Numbers: [28, 59]
Generated Node #0,0,2: 87:[28, 59] Operation: 90-31=59
Exploring Operation: 90+28=118, Resulting Numbers: [31, 118]
Generated Node #0,0,3: 87:[31, 118] Operation: 90+28=118
Exploring Operation: 90-28=62, Resulting Numbers: [31, 62]
Generated Node #0,0,4: 87:[31, 62] Operation: 90-28=62
Moving to Node #0,0,0
Current State: 87:[90, 3], Operations: ['84-56=28', '31-28=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[31, 56, 90, 84], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [31, 90, 28]
Generated Node #0,0: 87:[31, 90, 28] Operation: 84-56=28
Moving to Node #0,0
Current State: 87:[31, 90, 28], Operations: ['84-56=28']
Exploring Operation: 31-28=3, Resulting Numbers: [90, 3]
Generated Node #0,0,0: 87:[90, 3] Operation: 31-28=3
Moving to Node #0,0,0
Current State: 87:[90, 3], Operations: ['84-56=28', '31-28=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
66,
57,
88,
55
] | 24 | [
"66-57=9",
"88-55=33",
"33-9=24"
] | Current State: 24:[66, 57, 88, 55], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [88, 55, 9]
Generated Node #2: [88, 55, 9] from Operation: 66-57=9
Current State: 24:[88, 55, 9], Operations: ['66-57=9']
Exploring Operation: 88-55=33, Resulting Numbers: [9, 33]
Generated Node #3: [9, 33] from Operation: 88-55=33
Current State: 24:[9, 33], Operations: ['66-57=9', '88-55=33']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[66, 57, 88, 55], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [57, 55, 22]
Generated Node #0,0: 24:[57, 55, 22] Operation: 88-66=22
Moving to Node #0,0
Current State: 24:[57, 55, 22], Operations: ['88-66=22']
Exploring Operation: 57-55=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 24:[22, 2] Operation: 57-55=2
Moving to Node #0,0,0
Current State: 24:[22, 2], Operations: ['88-66=22', '57-55=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[66, 57, 88, 55], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [57, 55, 22]
Generated Node #0,0: 24:[57, 55, 22] Operation: 88-66=22
Moving to Node #0,0
Current State: 24:[57, 55, 22], Operations: ['88-66=22']
Exploring Operation: 57-55=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 24:[22, 2] Operation: 57-55=2
Moving to Node #0,0,0
Current State: 24:[22, 2], Operations: ['88-66=22', '57-55=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
69,
6,
64,
48
] | 100 | [
"69+6=75",
"64*75=4800",
"4800/48=100"
] | Current State: 100:[69, 6, 64, 48], Operations: []
Exploring Operation: 69+6=75, Resulting Numbers: [64, 48, 75]
Generated Node #2: [64, 48, 75] from Operation: 69+6=75
Current State: 100:[64, 48, 75], Operations: ['69+6=75']
Exploring Operation: 64*75=4800, Resulting Numbers: [48, 4800]
Generated Node #3: [48, 4800] from Operation: 64*75=4800
Current State: 100:[48, 4800], Operations: ['69+6=75', '64*75=4800']
Exploring Operation: 4800/48=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[69, 6, 64, 48], Operations: []
Exploring Operation: 64-6=58, Resulting Numbers: [69, 48, 58]
Generated Node #0,0: 100:[69, 48, 58] Operation: 64-6=58
Exploring Operation: 64-48=16, Resulting Numbers: [69, 6, 16]
Generated Node #0,1: 100:[69, 6, 16] Operation: 64-48=16
Exploring Operation: 69-6=63, Resulting Numbers: [64, 48, 63]
Generated Node #0,2: 100:[64, 48, 63] Operation: 69-6=63
Exploring Operation: 69-48=21, Resulting Numbers: [6, 64, 21]
Generated Node #0,3: 100:[6, 64, 21] Operation: 69-48=21
Exploring Operation: 69-64=5, Resulting Numbers: [6, 48, 5]
Generated Node #0,4: 100:[6, 48, 5] Operation: 69-64=5
Moving to Node #0,4
Current State: 100:[6, 48, 5], Operations: ['69-64=5']
Exploring Operation: 6+5=11, Resulting Numbers: [48, 11]
Generated Node #0,4,0: 100:[48, 11] Operation: 6+5=11
Exploring Operation: 6-5=1, Resulting Numbers: [48, 1]
Generated Node #0,4,1: 100:[48, 1] Operation: 6-5=1
Exploring Operation: 6+48=54, Resulting Numbers: [5, 54]
Generated Node #0,4,2: 100:[5, 54] Operation: 6+48=54
Exploring Operation: 48+5=53, Resulting Numbers: [6, 53]
Generated Node #0,4,3: 100:[6, 53] Operation: 48+5=53
Exploring Operation: 48/6=8, Resulting Numbers: [5, 8]
Generated Node #0,4,4: 100:[5, 8] Operation: 48/6=8
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 100:[5, 8], Operations: ['69-64=5', '48/6=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 100:[48, 11], Operations: ['69-64=5', '6+5=11']
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,100 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,100 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 #0,4,1
Current State: 100:[48, 1], Operations: ['69-64=5', '6-5=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,100 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 #0,4,2
Current State: 100:[5, 54], Operations: ['69-64=5', '6+48=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,100 unequal: No Solution
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,100 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 #0,4,3
Current State: 100:[6, 53], Operations: ['69-64=5', '48+5=53']
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,100 unequal: No Solution
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,100 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: 100:[6, 64, 21], Operations: ['69-48=21']
Exploring Operation: 6+21=27, Resulting Numbers: [64, 27]
Generated Node #0,3,0: 100:[64, 27] Operation: 6+21=27
Exploring Operation: 21-6=15, Resulting Numbers: [64, 15]
Generated Node #0,3,1: 100:[64, 15] Operation: 21-6=15
Exploring Operation: 64-21=43, Resulting Numbers: [6, 43]
Generated Node #0,3,2: 100:[6, 43] Operation: 64-21=43
Exploring Operation: 64-6=58, Resulting Numbers: [21, 58]
Generated Node #0,3,3: 100:[21, 58] Operation: 64-6=58
Exploring Operation: 64+21=85, Resulting Numbers: [6, 85]
Generated Node #0,3,4: 100:[6, 85] Operation: 64+21=85
Moving to Node #0,1
Current State: 100:[69, 6, 16], Operations: ['64-48=16']
Exploring Operation: 16-6=10, Resulting Numbers: [69, 10]
Generated Node #0,1,0: 100:[69, 10] Operation: 16-6=10
Exploring Operation: 69+16=85, Resulting Numbers: [6, 85]
Generated Node #0,1,1: 100:[6, 85] Operation: 69+16=85
Exploring Operation: 69-16=53, Resulting Numbers: [6, 53]
Generated Node #0,1,2: 100:[6, 53] Operation: 69-16=53
Exploring Operation: 69-6=63, Resulting Numbers: [16, 63]
Generated Node #0,1,3: 100:[16, 63] Operation: 69-6=63
Exploring Operation: 6+16=22, Resulting Numbers: [69, 22]
Generated Node #0,1,4: 100:[69, 22] Operation: 6+16=22
Moving to Node #0,0
Current State: 100:[69, 48, 58], Operations: ['64-6=58']
Exploring Operation: 48+58=106, Resulting Numbers: [69, 106]
Generated Node #0,0,0: 100:[69, 106] Operation: 48+58=106
Exploring Operation: 58-48=10, Resulting Numbers: [69, 10]
Generated Node #0,0,1: 100:[69, 10] Operation: 58-48=10
Exploring Operation: 69-48=21, Resulting Numbers: [58, 21]
Generated Node #0,0,2: 100:[58, 21] Operation: 69-48=21
Exploring Operation: 69+48=117, Resulting Numbers: [58, 117]
Generated Node #0,0,3: 100:[58, 117] Operation: 69+48=117
Exploring Operation: 69-58=11, Resulting Numbers: [48, 11]
Generated Node #0,0,4: 100:[48, 11] Operation: 69-58=11
Moving to Node #0,2
Current State: 100:[64, 48, 63], Operations: ['69-6=63']
Exploring Operation: 64-48=16, Resulting Numbers: [63, 16]
Generated Node #0,2,0: 100:[63, 16] Operation: 64-48=16
Exploring Operation: 64+48=112, Resulting Numbers: [63, 112]
Generated Node #0,2,1: 100:[63, 112] Operation: 64+48=112
Exploring Operation: 48+63=111, Resulting Numbers: [64, 111]
Generated Node #0,2,2: 100:[64, 111] Operation: 48+63=111
Exploring Operation: 63-48=15, Resulting Numbers: [64, 15]
Generated Node #0,2,3: 100:[64, 15] Operation: 63-48=15
Exploring Operation: 64-63=1, Resulting Numbers: [48, 1]
Generated Node #0,2,4: 100:[48, 1] Operation: 64-63=1
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 100:[48, 1], Operations: ['69-6=63', '64-63=1']
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 100:[63, 16], Operations: ['69-6=63', '64-48=16']
Exploring Operation: 63+16=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 63*16=1008, Resulting Numbers: [1008]
1008,100 unequal: No Solution
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 100:[64, 15], Operations: ['69-6=63', '63-48=15']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,100 unequal: No Solution
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[63, 112], Operations: ['69-6=63', '64+48=112']
Exploring Operation: 112-63=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 63+112=175, Resulting Numbers: [175]
175,100 unequal: No Solution
Exploring Operation: 63*112=7056, Resulting Numbers: [7056]
7056,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 100:[64, 111], Operations: ['69-6=63', '48+63=111']
Exploring Operation: 64*111=7104, Resulting Numbers: [7104]
7104,100 unequal: No Solution
Exploring Operation: 64+111=175, Resulting Numbers: [175]
175,100 unequal: No Solution
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 100:[48, 11], Operations: ['64-6=58', '69-58=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[6, 53], Operations: ['64-48=16', '69-16=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[6, 43], Operations: ['69-48=21', '64-21=43']
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 6*43=258, Resulting Numbers: [258]
258,100 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[58, 21], Operations: ['64-6=58', '69-48=21']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Exploring Operation: 58+21=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 58*21=1218, Resulting Numbers: [1218]
1218,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[21, 58], Operations: ['69-48=21', '64-6=58']
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,100 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[6, 85], Operations: ['64-48=16', '69+16=85']
Exploring Operation: 6+85=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 6*85=510, Resulting Numbers: [510]
510,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[64, 27], Operations: ['69-48=21', '6+21=27']
Exploring Operation: 64*27=1728, Resulting Numbers: [1728]
1728,100 unequal: No Solution
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[6, 85], Operations: ['69-48=21', '64+21=85']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 6*85=510, Resulting Numbers: [510]
510,100 unequal: No Solution
Exploring Operation: 6+85=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[16, 63], Operations: ['64-48=16', '69-6=63']
Exploring Operation: 16*63=1008, Resulting Numbers: [1008]
1008,100 unequal: No Solution
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[69, 10], Operations: ['64-6=58', '58-48=10']
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,100 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[64, 15], Operations: ['69-48=21', '21-6=15']
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,100 unequal: No Solution
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[69, 10], Operations: ['64-48=16', '16-6=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,100 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Moving to Node #0,1,4
Current State: 100:[69, 22], Operations: ['64-48=16', '6+16=22']
Exploring Operation: 69*22=1518, Resulting Numbers: [1518]
1518,100 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[58, 117], Operations: ['64-6=58', '69+48=117']
Exploring Operation: 117-58=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 58+117=175, Resulting Numbers: [175]
175,100 unequal: No Solution
Exploring Operation: 58*117=6786, Resulting Numbers: [6786]
6786,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[69, 106], Operations: ['64-6=58', '48+58=106']
Exploring Operation: 106-69=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Exploring Operation: 69*106=7314, Resulting Numbers: [7314]
7314,100 unequal: No Solution
Exploring Operation: 69+106=175, Resulting Numbers: [175]
175,100 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
11,
88,
99,
9
] | 81 | [
"88*9=792",
"99+792=891",
"891/11=81"
] | Current State: 81:[11, 88, 99, 9], Operations: []
Exploring Operation: 88*9=792, Resulting Numbers: [11, 99, 792]
Generated Node #2: [11, 99, 792] from Operation: 88*9=792
Current State: 81:[11, 99, 792], Operations: ['88*9=792']
Exploring Operation: 99+792=891, Resulting Numbers: [11, 891]
Generated Node #3: [11, 891] from Operation: 99+792=891
Current State: 81:[11, 891], Operations: ['88*9=792', '99+792=891']
Exploring Operation: 891/11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[11, 88, 99, 9], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [11, 88, 11]
Generated Node #0,0: 81:[11, 88, 11] Operation: 99/9=11
Exploring Operation: 99/11=9, Resulting Numbers: [88, 9, 9]
Generated Node #0,1: 81:[88, 9, 9] Operation: 99/11=9
Exploring Operation: 99-88=11, Resulting Numbers: [11, 9, 11]
Generated Node #0,2: 81:[11, 9, 11] Operation: 99-88=11
Moving to Node #0,2
Current State: 81:[11, 9, 11], Operations: ['99-88=11']
Exploring Operation: 11/11=1, Resulting Numbers: [9, 1]
Generated Node #0,2,0: 81:[9, 1] Operation: 11/11=1
Exploring Operation: 11-11=0, Resulting Numbers: [9, 0]
Generated Node #0,2,1: 81:[9, 0] Operation: 11-11=0
Exploring Operation: 11-9=2, Resulting Numbers: [11, 2]
Generated Node #0,2,2: 81:[11, 2] Operation: 11-9=2
Moving to Node #0,1
Current State: 81:[88, 9, 9], Operations: ['99/11=9']
Exploring Operation: 9*9=81, Resulting Numbers: [88, 81]
Generated Node #0,1,0: 81:[88, 81] Operation: 9*9=81
Exploring Operation: 88-9=79, Resulting Numbers: [9, 79]
Generated Node #0,1,1: 81:[9, 79] Operation: 88-9=79
Exploring Operation: 88-9=79, Resulting Numbers: [9, 79]
Generated Node #0,1,2: 81:[9, 79] Operation: 88-9=79
Moving to Node #0,0
Current State: 81:[11, 88, 11], Operations: ['99/9=11']
Exploring Operation: 88-11=77, Resulting Numbers: [11, 77]
Generated Node #0,0,0: 81:[11, 77] Operation: 88-11=77
Exploring Operation: 88/11=8, Resulting Numbers: [11, 8]
Generated Node #0,0,1: 81:[11, 8] Operation: 88/11=8
Exploring Operation: 88/11=8, Resulting Numbers: [11, 8]
Generated Node #0,0,2: 81:[11, 8] Operation: 88/11=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[11, 8], Operations: ['99/9=11', '88/11=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,81 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 #0,0,2
Current State: 81:[11, 8], Operations: ['99/9=11', '88/11=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,81 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 #0,0,0
Current State: 81:[11, 77], Operations: ['99/9=11', '88-11=77']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,81 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 11+77=88, Resulting Numbers: [88]
88,81 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: 81:[9, 1], Operations: ['99-88=11', '11/11=1']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[9, 79], Operations: ['99/11=9', '88-9=79']
Exploring Operation: 9*79=711, Resulting Numbers: [711]
711,81 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 9+79=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[9, 79], Operations: ['99/11=9', '88-9=79']
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 9*79=711, Resulting Numbers: [711]
711,81 unequal: No Solution
Exploring Operation: 9+79=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[11, 2], Operations: ['99-88=11', '11-9=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,81 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[9, 0], Operations: ['99-88=11', '11-11=0']
Exploring Operation: 9*0=0, Resulting Numbers: [0]
0,81 unequal: No Solution
Exploring Operation: 9+0=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 9-0=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[88, 81], Operations: ['99/11=9', '9*9=81']
Exploring Operation: 88*81=7128, Resulting Numbers: [7128]
7128,81 unequal: No Solution
Exploring Operation: 88-81=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 88+81=169, Resulting Numbers: [169]
169,81 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
18,
48,
52,
4
] | 46 | [
"52-18=34",
"48/4=12",
"34+12=46"
] | Current State: 46:[18, 48, 52, 4], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [48, 4, 34]
Generated Node #2: [48, 4, 34] from Operation: 52-18=34
Current State: 46:[48, 4, 34], Operations: ['52-18=34']
Exploring Operation: 48/4=12, Resulting Numbers: [34, 12]
Generated Node #3: [34, 12] from Operation: 48/4=12
Current State: 46:[34, 12], Operations: ['52-18=34', '48/4=12']
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[18, 48, 52, 4], Operations: []
Exploring Operation: 18+4=22, Resulting Numbers: [48, 52, 22]
Generated Node #0,0: 46:[48, 52, 22] Operation: 18+4=22
Moving to Node #0,0
Current State: 46:[48, 52, 22], Operations: ['18+4=22']
Exploring Operation: 52-48=4, Resulting Numbers: [22, 4]
Generated Node #0,0,0: 46:[22, 4] Operation: 52-48=4
Moving to Node #0,0,0
Current State: 46:[22, 4], Operations: ['18+4=22', '52-48=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,46 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
6,
8,
15,
78
] | 75 | [
"78/6=13",
"13-8=5",
"15*5=75"
] | Current State: 75:[6, 8, 15, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [8, 15, 13]
Generated Node #2: [8, 15, 13] from Operation: 78/6=13
Current State: 75:[8, 15, 13], Operations: ['78/6=13']
Exploring Operation: 13-8=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 13-8=5
Current State: 75:[15, 5], Operations: ['78/6=13', '13-8=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[6, 8, 15, 78], Operations: []
Exploring Operation: 6+8=14, Resulting Numbers: [15, 78, 14]
Generated Node #0,0: 75:[15, 78, 14] Operation: 6+8=14
Exploring Operation: 78-6=72, Resulting Numbers: [8, 15, 72]
Generated Node #0,1: 75:[8, 15, 72] Operation: 78-6=72
Exploring Operation: 8+15=23, Resulting Numbers: [6, 78, 23]
Generated Node #0,2: 75:[6, 78, 23] Operation: 8+15=23
Exploring Operation: 8-6=2, Resulting Numbers: [15, 78, 2]
Generated Node #0,3: 75:[15, 78, 2] Operation: 8-6=2
Exploring Operation: 78/6=13, Resulting Numbers: [8, 15, 13]
Generated Node #0,4: 75:[8, 15, 13] Operation: 78/6=13
Moving to Node #0,0
Current State: 75:[15, 78, 14], Operations: ['6+8=14']
Exploring Operation: 15+14=29, Resulting Numbers: [78, 29]
Generated Node #0,0,0: 75:[78, 29] Operation: 15+14=29
Exploring Operation: 78+14=92, Resulting Numbers: [15, 92]
Generated Node #0,0,1: 75:[15, 92] Operation: 78+14=92
Exploring Operation: 78-15=63, Resulting Numbers: [14, 63]
Generated Node #0,0,2: 75:[14, 63] Operation: 78-15=63
Exploring Operation: 15-14=1, Resulting Numbers: [78, 1]
Generated Node #0,0,3: 75:[78, 1] Operation: 15-14=1
Exploring Operation: 78-14=64, Resulting Numbers: [15, 64]
Generated Node #0,0,4: 75:[15, 64] Operation: 78-14=64
Moving to Node #0,3
Current State: 75:[15, 78, 2], Operations: ['8-6=2']
Exploring Operation: 78-2=76, Resulting Numbers: [15, 76]
Generated Node #0,3,0: 75:[15, 76] Operation: 78-2=76
Exploring Operation: 15+2=17, Resulting Numbers: [78, 17]
Generated Node #0,3,1: 75:[78, 17] Operation: 15+2=17
Exploring Operation: 15-2=13, Resulting Numbers: [78, 13]
Generated Node #0,3,2: 75:[78, 13] Operation: 15-2=13
Exploring Operation: 78+2=80, Resulting Numbers: [15, 80]
Generated Node #0,3,3: 75:[15, 80] Operation: 78+2=80
Exploring Operation: 15*2=30, Resulting Numbers: [78, 30]
Generated Node #0,3,4: 75:[78, 30] Operation: 15*2=30
Moving to Node #0,4
Current State: 75:[8, 15, 13], Operations: ['78/6=13']
Exploring Operation: 15-8=7, Resulting Numbers: [13, 7]
Generated Node #0,4,0: 75:[13, 7] Operation: 15-8=7
Exploring Operation: 15-13=2, Resulting Numbers: [8, 2]
Generated Node #0,4,1: 75:[8, 2] Operation: 15-13=2
Exploring Operation: 8+13=21, Resulting Numbers: [15, 21]
Generated Node #0,4,2: 75:[15, 21] Operation: 8+13=21
Exploring Operation: 13-8=5, Resulting Numbers: [15, 5]
Generated Node #0,4,3: 75:[15, 5] Operation: 13-8=5
Exploring Operation: 8+15=23, Resulting Numbers: [13, 23]
Generated Node #0,4,4: 75:[13, 23] Operation: 8+15=23
Moving to Node #0,1
Current State: 75:[8, 15, 72], Operations: ['78-6=72']
Exploring Operation: 15-8=7, Resulting Numbers: [72, 7]
Generated Node #0,1,0: 75:[72, 7] Operation: 15-8=7
Exploring Operation: 8+15=23, Resulting Numbers: [72, 23]
Generated Node #0,1,1: 75:[72, 23] Operation: 8+15=23
Exploring Operation: 72/8=9, Resulting Numbers: [15, 9]
Generated Node #0,1,2: 75:[15, 9] Operation: 72/8=9
Exploring Operation: 8+72=80, Resulting Numbers: [15, 80]
Generated Node #0,1,3: 75:[15, 80] Operation: 8+72=80
Exploring Operation: 72-8=64, Resulting Numbers: [15, 64]
Generated Node #0,1,4: 75:[15, 64] Operation: 72-8=64
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[15, 9], Operations: ['78-6=72', '72/8=9']
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[72, 7], Operations: ['78-6=72', '15-8=7']
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,75 unequal: No Solution
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,75 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,75 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:[72, 23], Operations: ['78-6=72', '8+15=23']
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 72+23=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Exploring Operation: 72*23=1656, Resulting Numbers: [1656]
1656,75 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 #0,1,3
Current State: 75:[15, 80], Operations: ['78-6=72', '8+72=80']
Exploring Operation: 15*80=1200, Resulting Numbers: [1200]
1200,75 unequal: No Solution
Exploring Operation: 15+80=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,75 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 #0,1,4
Current State: 75:[15, 64], Operations: ['78-6=72', '72-8=64']
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,75 unequal: No Solution
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,75 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,75 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: 75:[6, 78, 23], Operations: ['8+15=23']
Exploring Operation: 78-6=72, Resulting Numbers: [23, 72]
Generated Node #0,2,0: 75:[23, 72] Operation: 78-6=72
Exploring Operation: 6+78=84, Resulting Numbers: [23, 84]
Generated Node #0,2,1: 75:[23, 84] Operation: 6+78=84
Exploring Operation: 78/6=13, Resulting Numbers: [23, 13]
Generated Node #0,2,2: 75:[23, 13] Operation: 78/6=13
Exploring Operation: 6+23=29, Resulting Numbers: [78, 29]
Generated Node #0,2,3: 75:[78, 29] Operation: 6+23=29
Exploring Operation: 23-6=17, Resulting Numbers: [78, 17]
Generated Node #0,2,4: 75:[78, 17] Operation: 23-6=17
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[23, 13], Operations: ['8+15=23', '78/6=13']
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,75 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,75 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 #0,2,0
Current State: 75:[23, 72], Operations: ['8+15=23', '78-6=72']
Exploring Operation: 23+72=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Exploring Operation: 23*72=1656, Resulting Numbers: [1656]
1656,75 unequal: No Solution
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,75 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 #0,2,4
Current State: 75:[78, 17], Operations: ['8+15=23', '23-6=17']
Exploring Operation: 78-17=61, Resulting Numbers: [61]
61,75 unequal: No Solution
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,75 unequal: No Solution
Exploring Operation: 78*17=1326, Resulting Numbers: [1326]
1326,75 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 #0,2,3
Current State: 75:[78, 29], Operations: ['8+15=23', '6+23=29']
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 78+29=107, Resulting Numbers: [107]
107,75 unequal: No Solution
Exploring Operation: 78*29=2262, Resulting Numbers: [2262]
2262,75 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 #0,2,1
Current State: 75:[23, 84], Operations: ['8+15=23', '6+78=84']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,75 unequal: No Solution
Exploring Operation: 23*84=1932, Resulting Numbers: [1932]
1932,75 unequal: No Solution
Exploring Operation: 23+84=107, Resulting Numbers: [107]
107,75 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: 75:[15, 5], Operations: ['78/6=13', '13-8=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[6, 8, 15, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [8, 15, 13]
Generated Node #0,4: 75:[8, 15, 13] Operation: 78/6=13
Moving to Node #0,4
Current State: 75:[8, 15, 13], Operations: ['78/6=13']
Exploring Operation: 13-8=5, Resulting Numbers: [15, 5]
Generated Node #0,4,3: 75:[15, 5] Operation: 13-8=5
Moving to Node #0,4,3
Current State: 75:[15, 5], Operations: ['78/6=13', '13-8=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.942708 | hs_5 | sum_heuristic |
[
35,
99,
11,
2
] | 33 | [
"35-2=33",
"99*11=1089",
"1089/33=33"
] | Current State: 33:[35, 99, 11, 2], Operations: []
Exploring Operation: 35-2=33, Resulting Numbers: [99, 11, 33]
Generated Node #2: [99, 11, 33] from Operation: 35-2=33
Current State: 33:[99, 11, 33], Operations: ['35-2=33']
Exploring Operation: 99*11=1089, Resulting Numbers: [33, 1089]
Generated Node #3: [33, 1089] from Operation: 99*11=1089
Current State: 33:[33, 1089], Operations: ['35-2=33', '99*11=1089']
Exploring Operation: 1089/33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[35, 99, 11, 2], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [35, 2, 9]
Generated Node #0,0: 33:[35, 2, 9] Operation: 99/11=9
Exploring Operation: 99-35=64, Resulting Numbers: [11, 2, 64]
Generated Node #0,1: 33:[11, 2, 64] Operation: 99-35=64
Exploring Operation: 99-11=88, Resulting Numbers: [35, 2, 88]
Generated Node #0,2: 33:[35, 2, 88] Operation: 99-11=88
Moving to Node #0,0
Current State: 33:[35, 2, 9], Operations: ['99/11=9']
Exploring Operation: 35-2=33, Resulting Numbers: [9, 33]
Generated Node #0,0,0: 33:[9, 33] Operation: 35-2=33
Exploring Operation: 2+9=11, Resulting Numbers: [35, 11]
Generated Node #0,0,1: 33:[35, 11] Operation: 2+9=11
Exploring Operation: 35+2=37, Resulting Numbers: [9, 37]
Generated Node #0,0,2: 33:[9, 37] Operation: 35+2=37
Moving to Node #0,1
Current State: 33:[11, 2, 64], Operations: ['99-35=64']
Exploring Operation: 64-2=62, Resulting Numbers: [11, 62]
Generated Node #0,1,0: 33:[11, 62] Operation: 64-2=62
Exploring Operation: 64/2=32, Resulting Numbers: [11, 32]
Generated Node #0,1,1: 33:[11, 32] Operation: 64/2=32
Exploring Operation: 64-11=53, Resulting Numbers: [2, 53]
Generated Node #0,1,2: 33:[2, 53] Operation: 64-11=53
Moving to Node #0,2
Current State: 33:[35, 2, 88], Operations: ['99-11=88']
Exploring Operation: 35-2=33, Resulting Numbers: [88, 33]
Generated Node #0,2,0: 33:[88, 33] Operation: 35-2=33
Exploring Operation: 88/2=44, Resulting Numbers: [35, 44]
Generated Node #0,2,1: 33:[35, 44] Operation: 88/2=44
Exploring Operation: 88-35=53, Resulting Numbers: [2, 53]
Generated Node #0,2,2: 33:[2, 53] Operation: 88-35=53
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[35, 44], Operations: ['99-11=88', '88/2=44']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Exploring Operation: 35*44=1540, Resulting Numbers: [1540]
1540,33 unequal: No Solution
Exploring Operation: 35+44=79, Resulting Numbers: [79]
79,33 unequal: No Solution
No 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: 33:[2, 53], Operations: ['99-11=88', '88-35=53']
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,33 unequal: No Solution
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,33 unequal: No Solution
No 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: 33:[88, 33], Operations: ['99-11=88', '35-2=33']
Exploring Operation: 88+33=121, Resulting Numbers: [121]
121,33 unequal: No Solution
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 88*33=2904, Resulting Numbers: [2904]
2904,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 33:[11, 32], Operations: ['99-35=64', '64/2=32']
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 11*32=352, Resulting Numbers: [352]
352,33 unequal: No Solution
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[9, 33], Operations: ['99/11=9', '35-2=33']
Exploring Operation: 9*33=297, Resulting Numbers: [297]
297,33 unequal: No Solution
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,33 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[35, 11], Operations: ['99/11=9', '2+9=11']
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[9, 37], Operations: ['99/11=9', '35+2=37']
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,33 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[2, 53], Operations: ['99-35=64', '64-11=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,33 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[11, 62], Operations: ['99-35=64', '64-2=62']
Exploring Operation: 11+62=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 11*62=682, Resulting Numbers: [682]
682,33 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
50,
58,
9,
11
] | 66 | [
"11-9=2",
"58*2=116",
"116-50=66"
] | Current State: 66:[50, 58, 9, 11], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [50, 58, 2]
Generated Node #2: [50, 58, 2] from Operation: 11-9=2
Current State: 66:[50, 58, 2], Operations: ['11-9=2']
Exploring Operation: 58*2=116, Resulting Numbers: [50, 116]
Generated Node #3: [50, 116] from Operation: 58*2=116
Current State: 66:[50, 116], Operations: ['11-9=2', '58*2=116']
Exploring Operation: 116-50=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[50, 58, 9, 11], Operations: []
Exploring Operation: 50+9=59, Resulting Numbers: [58, 11, 59]
Generated Node #0,0: 66:[58, 11, 59] Operation: 50+9=59
Exploring Operation: 58-50=8, Resulting Numbers: [9, 11, 8]
Generated Node #0,1: 66:[9, 11, 8] Operation: 58-50=8
Moving to Node #0,1
Current State: 66:[9, 11, 8], Operations: ['58-50=8']
Exploring Operation: 11-9=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 66:[8, 2] Operation: 11-9=2
Exploring Operation: 9-8=1, Resulting Numbers: [11, 1]
Generated Node #0,1,1: 66:[11, 1] Operation: 9-8=1
Moving to Node #0,0
Current State: 66:[58, 11, 59], Operations: ['50+9=59']
Exploring Operation: 59-58=1, Resulting Numbers: [11, 1]
Generated Node #0,0,0: 66:[11, 1] Operation: 59-58=1
Exploring Operation: 58+11=69, Resulting Numbers: [59, 69]
Generated Node #0,0,1: 66:[59, 69] Operation: 58+11=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[11, 1], Operations: ['50+9=59', '59-58=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,66 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,66 unequal: No Solution
No 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: 66:[59, 69], Operations: ['50+9=59', '58+11=69']
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 59+69=128, Resulting Numbers: [128]
128,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 66:[11, 1], Operations: ['58-50=8', '9-8=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,66 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[8, 2], Operations: ['58-50=8', '11-9=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,66 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
16,
83,
42,
88
] | 53 | [
"16+83=99",
"88-42=46",
"99-46=53"
] | Current State: 53:[16, 83, 42, 88], Operations: []
Exploring Operation: 16+83=99, Resulting Numbers: [42, 88, 99]
Generated Node #2: [42, 88, 99] from Operation: 16+83=99
Current State: 53:[42, 88, 99], Operations: ['16+83=99']
Exploring Operation: 88-42=46, Resulting Numbers: [99, 46]
Generated Node #3: [99, 46] from Operation: 88-42=46
Current State: 53:[99, 46], Operations: ['16+83=99', '88-42=46']
Exploring Operation: 99-46=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[16, 83, 42, 88], Operations: []
Exploring Operation: 83-16=67, Resulting Numbers: [42, 88, 67]
Generated Node #0,0: 53:[42, 88, 67] Operation: 83-16=67
Exploring Operation: 16+42=58, Resulting Numbers: [83, 88, 58]
Generated Node #0,1: 53:[83, 88, 58] Operation: 16+42=58
Exploring Operation: 88-16=72, Resulting Numbers: [83, 42, 72]
Generated Node #0,2: 53:[83, 42, 72] Operation: 88-16=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[42, 88, 67], Operations: ['83-16=67']
Exploring Operation: 88-42=46, Resulting Numbers: [67, 46]
Generated Node #0,0,0: 53:[67, 46] Operation: 88-42=46
Exploring Operation: 67-42=25, Resulting Numbers: [88, 25]
Generated Node #0,0,1: 53:[88, 25] Operation: 67-42=25
Exploring Operation: 88-67=21, Resulting Numbers: [42, 21]
Generated Node #0,0,2: 53:[42, 21] Operation: 88-67=21
Moving to Node #0,0,0
Current State: 53:[67, 46], Operations: ['83-16=67', '88-42=46']
Exploring Operation: 67*46=3082, Resulting Numbers: [3082]
3082,53 unequal: No Solution
Exploring Operation: 67+46=113, Resulting Numbers: [113]
113,53 unequal: No Solution
Exploring Operation: 67-46=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[42, 21], Operations: ['83-16=67', '88-67=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[88, 25], Operations: ['83-16=67', '67-42=25']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 88*25=2200, Resulting Numbers: [2200]
2200,53 unequal: No Solution
Exploring Operation: 88+25=113, Resulting Numbers: [113]
113,53 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:[83, 42, 72], Operations: ['88-16=72']
Exploring Operation: 83-72=11, Resulting Numbers: [42, 11]
Generated Node #0,2,0: 53:[42, 11] Operation: 83-72=11
Exploring Operation: 72-42=30, Resulting Numbers: [83, 30]
Generated Node #0,2,1: 53:[83, 30] Operation: 72-42=30
Exploring Operation: 83-42=41, Resulting Numbers: [72, 41]
Generated Node #0,2,2: 53:[72, 41] Operation: 83-42=41
Moving to Node #0,2,2
Current State: 53:[72, 41], Operations: ['88-16=72', '83-42=41']
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,53 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[42, 11], Operations: ['88-16=72', '83-72=11']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[16, 83, 42, 88], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [83, 42, 72]
Generated Node #0,2: 53:[83, 42, 72] Operation: 88-16=72
Moving to Node #0,2
Current State: 53:[83, 42, 72], Operations: ['88-16=72']
Exploring Operation: 83-72=11, Resulting Numbers: [42, 11]
Generated Node #0,2,0: 53:[42, 11] Operation: 83-72=11
Moving to Node #0,2,0
Current State: 53:[42, 11], Operations: ['88-16=72', '83-72=11']
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
70,
78,
49,
25
] | 74 | [
"70+78=148",
"49+25=74",
"148-74=74"
] | Current State: 74:[70, 78, 49, 25], Operations: []
Exploring Operation: 70+78=148, Resulting Numbers: [49, 25, 148]
Generated Node #2: [49, 25, 148] from Operation: 70+78=148
Current State: 74:[49, 25, 148], Operations: ['70+78=148']
Exploring Operation: 49+25=74, Resulting Numbers: [148, 74]
Generated Node #3: [148, 74] from Operation: 49+25=74
Current State: 74:[148, 74], Operations: ['70+78=148', '49+25=74']
Exploring Operation: 148-74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[70, 78, 49, 25], Operations: []
Exploring Operation: 49+25=74, Resulting Numbers: [70, 78, 74]
Generated Node #0,0: 74:[70, 78, 74] Operation: 49+25=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[70, 78, 74], Operations: ['49+25=74']
Exploring Operation: 78-70=8, Resulting Numbers: [74, 8]
Generated Node #0,0,0: 74:[74, 8] Operation: 78-70=8
Moving to Node #0,0,0
Current State: 74:[74, 8], Operations: ['49+25=74', '78-70=8']
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
39,
21,
39,
59
] | 38 | [
"39+21=60",
"39+59=98",
"98-60=38"
] | Current State: 38:[39, 21, 39, 59], Operations: []
Exploring Operation: 39+21=60, Resulting Numbers: [59, 60]
Generated Node #2: [59, 60] from Operation: 39+21=60
Current State: 38:[59, 60], Operations: ['39+21=60']
Exploring Operation: 39+59=98, Resulting Numbers: [60, 98]
Generated Node #3: [60, 98] from Operation: 39+59=98
Current State: 38:[60, 98], Operations: ['39+21=60', '39+59=98']
Exploring Operation: 98-60=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[39, 21, 39, 59], Operations: []
Exploring Operation: 59-39=20, Resulting Numbers: [21, 39, 20]
Generated Node #0,0: 38:[21, 39, 20] Operation: 59-39=20
Exploring Operation: 59-21=38, Resulting Numbers: [39, 39, 38]
Generated Node #0,1: 38:[39, 39, 38] Operation: 59-21=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[39, 39, 38], Operations: ['59-21=38']
Exploring Operation: 39/39=1, Resulting Numbers: [38, 1]
Generated Node #0,1,0: 38:[38, 1] Operation: 39/39=1
Exploring Operation: 39-39=0, Resulting Numbers: [38, 0]
Generated Node #0,1,1: 38:[38, 0] Operation: 39-39=0
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[38, 1], Operations: ['59-21=38', '39/39=1']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[39, 21, 39, 59], Operations: []
Exploring Operation: 59-21=38, Resulting Numbers: [39, 39, 38]
Generated Node #0,1: 38:[39, 39, 38] Operation: 59-21=38
Moving to Node #0,1
Current State: 38:[39, 39, 38], Operations: ['59-21=38']
Exploring Operation: 39/39=1, Resulting Numbers: [38, 1]
Generated Node #0,1,0: 38:[38, 1] Operation: 39/39=1
Moving to Node #0,1,0
Current State: 38:[38, 1], Operations: ['59-21=38', '39/39=1']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
3,
36,
14,
8
] | 79 | [
"36-3=33",
"14*8=112",
"112-33=79"
] | Current State: 79:[3, 36, 14, 8], Operations: []
Exploring Operation: 36-3=33, Resulting Numbers: [14, 8, 33]
Generated Node #2: [14, 8, 33] from Operation: 36-3=33
Current State: 79:[14, 8, 33], Operations: ['36-3=33']
Exploring Operation: 14*8=112, Resulting Numbers: [33, 112]
Generated Node #3: [33, 112] from Operation: 14*8=112
Current State: 79:[33, 112], Operations: ['36-3=33', '14*8=112']
Exploring Operation: 112-33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[3, 36, 14, 8], Operations: []
Exploring Operation: 3*14=42, Resulting Numbers: [36, 8, 42]
Generated Node #0,0: 79:[36, 8, 42] Operation: 3*14=42
Moving to Node #0,0
Current State: 79:[36, 8, 42], Operations: ['3*14=42']
Exploring Operation: 36+8=44, Resulting Numbers: [42, 44]
Generated Node #0,0,0: 79:[42, 44] Operation: 36+8=44
Moving to Node #0,0,0
Current State: 79:[42, 44], Operations: ['3*14=42', '36+8=44']
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,79 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
54,
91,
85,
35
] | 95 | [
"54+91=145",
"85-35=50",
"145-50=95"
] | Current State: 95:[54, 91, 85, 35], Operations: []
Exploring Operation: 54+91=145, Resulting Numbers: [85, 35, 145]
Generated Node #2: [85, 35, 145] from Operation: 54+91=145
Current State: 95:[85, 35, 145], Operations: ['54+91=145']
Exploring Operation: 85-35=50, Resulting Numbers: [145, 50]
Generated Node #3: [145, 50] from Operation: 85-35=50
Current State: 95:[145, 50], Operations: ['54+91=145', '85-35=50']
Exploring Operation: 145-50=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[54, 91, 85, 35], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [91, 35, 31]
Generated Node #0,0: 95:[91, 35, 31] Operation: 85-54=31
Exploring Operation: 91-54=37, Resulting Numbers: [85, 35, 37]
Generated Node #0,1: 95:[85, 35, 37] Operation: 91-54=37
Exploring Operation: 54-35=19, Resulting Numbers: [91, 85, 19]
Generated Node #0,2: 95:[91, 85, 19] Operation: 54-35=19
Exploring Operation: 54+35=89, Resulting Numbers: [91, 85, 89]
Generated Node #0,3: 95:[91, 85, 89] Operation: 54+35=89
Moving to Node #0,2
Current State: 95:[91, 85, 19], Operations: ['54-35=19']
Exploring Operation: 91-85=6, Resulting Numbers: [19, 6]
Generated Node #0,2,0: 95:[19, 6] Operation: 91-85=6
Exploring Operation: 91-19=72, Resulting Numbers: [85, 72]
Generated Node #0,2,1: 95:[85, 72] Operation: 91-19=72
Exploring Operation: 85+19=104, Resulting Numbers: [91, 104]
Generated Node #0,2,2: 95:[91, 104] Operation: 85+19=104
Exploring Operation: 91+19=110, Resulting Numbers: [85, 110]
Generated Node #0,2,3: 95:[85, 110] Operation: 91+19=110
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[19, 6], Operations: ['54-35=19', '91-85=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,95 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[91, 104], Operations: ['54-35=19', '85+19=104']
Exploring Operation: 104-91=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 91+104=195, Resulting Numbers: [195]
195,95 unequal: No Solution
Exploring Operation: 91*104=9464, Resulting Numbers: [9464]
9464,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 95:[85, 110], Operations: ['54-35=19', '91+19=110']
Exploring Operation: 85*110=9350, Resulting Numbers: [9350]
9350,95 unequal: No Solution
Exploring Operation: 110-85=25, Resulting Numbers: [25]
25,95 unequal: No Solution
Exploring Operation: 85+110=195, Resulting Numbers: [195]
195,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[85, 72], Operations: ['54-35=19', '91-19=72']
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,95 unequal: No Solution
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 85*72=6120, Resulting Numbers: [6120]
6120,95 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: 95:[91, 85, 89], Operations: ['54+35=89']
Exploring Operation: 91-89=2, Resulting Numbers: [85, 2]
Generated Node #0,3,0: 95:[85, 2] Operation: 91-89=2
Exploring Operation: 91-85=6, Resulting Numbers: [89, 6]
Generated Node #0,3,1: 95:[89, 6] Operation: 91-85=6
Exploring Operation: 85+89=174, Resulting Numbers: [91, 174]
Generated Node #0,3,2: 95:[91, 174] Operation: 85+89=174
Exploring Operation: 89-85=4, Resulting Numbers: [91, 4]
Generated Node #0,3,3: 95:[91, 4] Operation: 89-85=4
Moving to Node #0,0
Current State: 95:[91, 35, 31], Operations: ['85-54=31']
Exploring Operation: 91+31=122, Resulting Numbers: [35, 122]
Generated Node #0,0,0: 95:[35, 122] Operation: 91+31=122
Exploring Operation: 35-31=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 95:[91, 4] Operation: 35-31=4
Exploring Operation: 91+35=126, Resulting Numbers: [31, 126]
Generated Node #0,0,2: 95:[31, 126] Operation: 91+35=126
Exploring Operation: 35+31=66, Resulting Numbers: [91, 66]
Generated Node #0,0,3: 95:[91, 66] Operation: 35+31=66
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[91, 4], Operations: ['85-54=31', '35-31=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[54, 91, 85, 35], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [91, 35, 31]
Generated Node #0,0: 95:[91, 35, 31] Operation: 85-54=31
Moving to Node #0,0
Current State: 95:[91, 35, 31], Operations: ['85-54=31']
Exploring Operation: 35-31=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 95:[91, 4] Operation: 35-31=4
Moving to Node #0,0,1
Current State: 95:[91, 4], Operations: ['85-54=31', '35-31=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
63,
29,
50,
19
] | 61 | [
"63+29=92",
"50-19=31",
"92-31=61"
] | Current State: 61:[63, 29, 50, 19], Operations: []
Exploring Operation: 63+29=92, Resulting Numbers: [50, 19, 92]
Generated Node #2: [50, 19, 92] from Operation: 63+29=92
Current State: 61:[50, 19, 92], Operations: ['63+29=92']
Exploring Operation: 50-19=31, Resulting Numbers: [92, 31]
Generated Node #3: [92, 31] from Operation: 50-19=31
Current State: 61:[92, 31], Operations: ['63+29=92', '50-19=31']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[63, 29, 50, 19], Operations: []
Exploring Operation: 29+19=48, Resulting Numbers: [63, 50, 48]
Generated Node #0,0: 61:[63, 50, 48] Operation: 29+19=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[63, 50, 48], Operations: ['29+19=48']
Exploring Operation: 50+48=98, Resulting Numbers: [63, 98]
Generated Node #0,0,0: 61:[63, 98] Operation: 50+48=98
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[63, 98], Operations: ['29+19=48', '50+48=98']
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,61 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_1 | mult_heuristic |
[
19,
86,
98,
30
] | 28 | [
"19+86=105",
"98*30=2940",
"2940/105=28"
] | Current State: 28:[19, 86, 98, 30], Operations: []
Exploring Operation: 19+86=105, Resulting Numbers: [98, 30, 105]
Generated Node #2: [98, 30, 105] from Operation: 19+86=105
Current State: 28:[98, 30, 105], Operations: ['19+86=105']
Exploring Operation: 98*30=2940, Resulting Numbers: [105, 2940]
Generated Node #3: [105, 2940] from Operation: 98*30=2940
Current State: 28:[105, 2940], Operations: ['19+86=105', '98*30=2940']
Exploring Operation: 2940/105=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[19, 86, 98, 30], Operations: []
Exploring Operation: 98-30=68, Resulting Numbers: [19, 86, 68]
Generated Node #0,0: 28:[19, 86, 68] Operation: 98-30=68
Exploring Operation: 86-30=56, Resulting Numbers: [19, 98, 56]
Generated Node #0,1: 28:[19, 98, 56] Operation: 86-30=56
Exploring Operation: 98-86=12, Resulting Numbers: [19, 30, 12]
Generated Node #0,2: 28:[19, 30, 12] Operation: 98-86=12
Moving to Node #0,2
Current State: 28:[19, 30, 12], Operations: ['98-86=12']
Exploring Operation: 19+12=31, Resulting Numbers: [30, 31]
Generated Node #0,2,0: 28:[30, 31] Operation: 19+12=31
Exploring Operation: 19-12=7, Resulting Numbers: [30, 7]
Generated Node #0,2,1: 28:[30, 7] Operation: 19-12=7
Exploring Operation: 30-19=11, Resulting Numbers: [12, 11]
Generated Node #0,2,2: 28:[12, 11] Operation: 30-19=11
Moving to Node #0,0
Current State: 28:[19, 86, 68], Operations: ['98-30=68']
Exploring Operation: 68-19=49, Resulting Numbers: [86, 49]
Generated Node #0,0,0: 28:[86, 49] Operation: 68-19=49
Exploring Operation: 86-19=67, Resulting Numbers: [68, 67]
Generated Node #0,0,1: 28:[68, 67] Operation: 86-19=67
Exploring Operation: 86-68=18, Resulting Numbers: [19, 18]
Generated Node #0,0,2: 28:[19, 18] Operation: 86-68=18
Moving to Node #0,1
Current State: 28:[19, 98, 56], Operations: ['86-30=56']
Exploring Operation: 98-19=79, Resulting Numbers: [56, 79]
Generated Node #0,1,0: 28:[56, 79] Operation: 98-19=79
Exploring Operation: 56-19=37, Resulting Numbers: [98, 37]
Generated Node #0,1,1: 28:[98, 37] Operation: 56-19=37
Exploring Operation: 98-56=42, Resulting Numbers: [19, 42]
Generated Node #0,1,2: 28:[19, 42] Operation: 98-56=42
Moving to Node #0,2,1
Current State: 28:[30, 7], Operations: ['98-86=12', '19-12=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,28 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[12, 11], Operations: ['98-86=12', '30-19=11']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[30, 31], Operations: ['98-86=12', '19+12=31']
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,28 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[19, 18], Operations: ['98-30=68', '86-68=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[19, 42], Operations: ['86-30=56', '98-56=42']
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 19*42=798, Resulting Numbers: [798]
798,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[68, 67], Operations: ['98-30=68', '86-19=67']
Exploring Operation: 68+67=135, Resulting Numbers: [135]
135,28 unequal: No Solution
Exploring Operation: 68*67=4556, Resulting Numbers: [4556]
4556,28 unequal: No Solution
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[98, 37], Operations: ['86-30=56', '56-19=37']
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 98*37=3626, Resulting Numbers: [3626]
3626,28 unequal: No Solution
Exploring Operation: 98+37=135, Resulting Numbers: [135]
135,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[86, 49], Operations: ['98-30=68', '68-19=49']
Exploring Operation: 86-49=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 86*49=4214, Resulting Numbers: [4214]
4214,28 unequal: No Solution
Exploring Operation: 86+49=135, Resulting Numbers: [135]
135,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[56, 79], Operations: ['86-30=56', '98-19=79']
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 56*79=4424, Resulting Numbers: [4424]
4424,28 unequal: No Solution
Exploring Operation: 56+79=135, Resulting Numbers: [135]
135,28 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
98,
45,
70,
87
] | 70 | [
"98-45=53",
"87-70=17",
"53+17=70"
] | Current State: 70:[98, 45, 70, 87], Operations: []
Exploring Operation: 98-45=53, Resulting Numbers: [70, 87, 53]
Generated Node #2: [70, 87, 53] from Operation: 98-45=53
Current State: 70:[70, 87, 53], Operations: ['98-45=53']
Exploring Operation: 87-70=17, Resulting Numbers: [53, 17]
Generated Node #3: [53, 17] from Operation: 87-70=17
Current State: 70:[53, 17], Operations: ['98-45=53', '87-70=17']
Exploring Operation: 53+17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[98, 45, 70, 87], Operations: []
Exploring Operation: 98-45=53, Resulting Numbers: [70, 87, 53]
Generated Node #0,0: 70:[70, 87, 53] Operation: 98-45=53
Exploring Operation: 98-70=28, Resulting Numbers: [45, 87, 28]
Generated Node #0,1: 70:[45, 87, 28] Operation: 98-70=28
Exploring Operation: 87-45=42, Resulting Numbers: [98, 70, 42]
Generated Node #0,2: 70:[98, 70, 42] Operation: 87-45=42
Exploring Operation: 98-87=11, Resulting Numbers: [45, 70, 11]
Generated Node #0,3: 70:[45, 70, 11] Operation: 98-87=11
Exploring Operation: 87-70=17, Resulting Numbers: [98, 45, 17]
Generated Node #0,4: 70:[98, 45, 17] Operation: 87-70=17
Moving to Node #0,3
Current State: 70:[45, 70, 11], Operations: ['98-87=11']
Exploring Operation: 70-11=59, Resulting Numbers: [45, 59]
Generated Node #0,3,0: 70:[45, 59] Operation: 70-11=59
Exploring Operation: 45+11=56, Resulting Numbers: [70, 56]
Generated Node #0,3,1: 70:[70, 56] Operation: 45+11=56
Exploring Operation: 70+11=81, Resulting Numbers: [45, 81]
Generated Node #0,3,2: 70:[45, 81] Operation: 70+11=81
Exploring Operation: 45-11=34, Resulting Numbers: [70, 34]
Generated Node #0,3,3: 70:[70, 34] Operation: 45-11=34
Exploring Operation: 70-45=25, Resulting Numbers: [11, 25]
Generated Node #0,3,4: 70:[11, 25] Operation: 70-45=25
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[70, 34], Operations: ['98-87=11', '45-11=34']
Exploring Operation: 70*34=2380, Resulting Numbers: [2380]
2380,70 unequal: No Solution
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,70 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 70:[11, 25], Operations: ['98-87=11', '70-45=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[70, 56], Operations: ['98-87=11', '45+11=56']
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Exploring Operation: 70*56=3920, Resulting Numbers: [3920]
3920,70 unequal: No Solution
Exploring Operation: 70+56=126, Resulting Numbers: [126]
126,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[45, 59], Operations: ['98-87=11', '70-11=59']
Exploring Operation: 45*59=2655, Resulting Numbers: [2655]
2655,70 unequal: No Solution
Exploring Operation: 45+59=104, Resulting Numbers: [104]
104,70 unequal: No Solution
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 70:[45, 81], Operations: ['98-87=11', '70+11=81']
Exploring Operation: 45*81=3645, Resulting Numbers: [3645]
3645,70 unequal: No Solution
Exploring Operation: 45+81=126, Resulting Numbers: [126]
126,70 unequal: No Solution
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,70 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: 70:[45, 87, 28], Operations: ['98-70=28']
Exploring Operation: 87+28=115, Resulting Numbers: [45, 115]
Generated Node #0,1,0: 70:[45, 115] Operation: 87+28=115
Exploring Operation: 87-28=59, Resulting Numbers: [45, 59]
Generated Node #0,1,1: 70:[45, 59] Operation: 87-28=59
Exploring Operation: 45+28=73, Resulting Numbers: [87, 73]
Generated Node #0,1,2: 70:[87, 73] Operation: 45+28=73
Exploring Operation: 87-45=42, Resulting Numbers: [28, 42]
Generated Node #0,1,3: 70:[28, 42] Operation: 87-45=42
Exploring Operation: 45-28=17, Resulting Numbers: [87, 17]
Generated Node #0,1,4: 70:[87, 17] Operation: 45-28=17
Moving to Node #0,0
Current State: 70:[70, 87, 53], Operations: ['98-45=53']
Exploring Operation: 70-53=17, Resulting Numbers: [87, 17]
Generated Node #0,0,0: 70:[87, 17] Operation: 70-53=17
Exploring Operation: 87-53=34, Resulting Numbers: [70, 34]
Generated Node #0,0,1: 70:[70, 34] Operation: 87-53=34
Exploring Operation: 87-70=17, Resulting Numbers: [53, 17]
Generated Node #0,0,2: 70:[53, 17] Operation: 87-70=17
Exploring Operation: 70+53=123, Resulting Numbers: [87, 123]
Generated Node #0,0,3: 70:[87, 123] Operation: 70+53=123
Exploring Operation: 87+53=140, Resulting Numbers: [70, 140]
Generated Node #0,0,4: 70:[70, 140] Operation: 87+53=140
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[70, 34], Operations: ['98-45=53', '87-53=34']
Exploring Operation: 70*34=2380, Resulting Numbers: [2380]
2380,70 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 70+34=104, Resulting Numbers: [104]
104,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[87, 17], Operations: ['98-45=53', '70-53=17']
Exploring Operation: 87+17=104, Resulting Numbers: [104]
104,70 unequal: No Solution
Exploring Operation: 87*17=1479, Resulting Numbers: [1479]
1479,70 unequal: No Solution
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[98, 45, 70, 87], Operations: []
Exploring Operation: 98-45=53, Resulting Numbers: [70, 87, 53]
Generated Node #0,0: 70:[70, 87, 53] Operation: 98-45=53
Moving to Node #0,0
Current State: 70:[70, 87, 53], Operations: ['98-45=53']
Exploring Operation: 70-53=17, Resulting Numbers: [87, 17]
Generated Node #0,0,0: 70:[87, 17] Operation: 70-53=17
Moving to Node #0,0,0
Current State: 70:[87, 17], Operations: ['98-45=53', '70-53=17']
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
70,
62,
50,
82
] | 100 | [
"70+62=132",
"82-50=32",
"132-32=100"
] | Current State: 100:[70, 62, 50, 82], Operations: []
Exploring Operation: 70+62=132, Resulting Numbers: [50, 82, 132]
Generated Node #2: [50, 82, 132] from Operation: 70+62=132
Current State: 100:[50, 82, 132], Operations: ['70+62=132']
Exploring Operation: 82-50=32, Resulting Numbers: [132, 32]
Generated Node #3: [132, 32] from Operation: 82-50=32
Current State: 100:[132, 32], Operations: ['70+62=132', '82-50=32']
Exploring Operation: 132-32=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[70, 62, 50, 82], Operations: []
Exploring Operation: 82-50=32, Resulting Numbers: [70, 62, 32]
Generated Node #0,0: 100:[70, 62, 32] Operation: 82-50=32
Exploring Operation: 82-70=12, Resulting Numbers: [62, 50, 12]
Generated Node #0,1: 100:[62, 50, 12] Operation: 82-70=12
Exploring Operation: 70-50=20, Resulting Numbers: [62, 82, 20]
Generated Node #0,2: 100:[62, 82, 20] Operation: 70-50=20
Exploring Operation: 82-62=20, Resulting Numbers: [70, 50, 20]
Generated Node #0,3: 100:[70, 50, 20] Operation: 82-62=20
Exploring Operation: 70-62=8, Resulting Numbers: [50, 82, 8]
Generated Node #0,4: 100:[50, 82, 8] Operation: 70-62=8
Moving to Node #0,1
Current State: 100:[62, 50, 12], Operations: ['82-70=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62, 62]
Generated Node #0,1,0: 100:[62, 62] Operation: 50+12=62
Exploring Operation: 62-50=12, Resulting Numbers: [12, 12]
Generated Node #0,1,1: 100:[12, 12] Operation: 62-50=12
Exploring Operation: 62+12=74, Resulting Numbers: [50, 74]
Generated Node #0,1,2: 100:[50, 74] Operation: 62+12=74
Exploring Operation: 62-12=50, Resulting Numbers: [50, 50]
Generated Node #0,1,3: 100:[50, 50] Operation: 62-12=50
Exploring Operation: 62+50=112, Resulting Numbers: [12, 112]
Generated Node #0,1,4: 100:[12, 112] Operation: 62+50=112
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 100:[50, 50], Operations: ['82-70=12', '62-12=50']
Exploring Operation: 50*50=2500, Resulting Numbers: [2500]
2500,100 unequal: No Solution
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[70, 62, 50, 82], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [62, 50, 12]
Generated Node #0,1: 100:[62, 50, 12] Operation: 82-70=12
Moving to Node #0,1
Current State: 100:[62, 50, 12], Operations: ['82-70=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50, 50]
Generated Node #0,1,3: 100:[50, 50] Operation: 62-12=50
Moving to Node #0,1,3
Current State: 100:[50, 50], Operations: ['82-70=12', '62-12=50']
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
91,
95,
48,
19
] | 28 | [
"95-91=4",
"19*4=76",
"76-48=28"
] | Current State: 28:[91, 95, 48, 19], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [48, 19, 4]
Generated Node #2: [48, 19, 4] from Operation: 95-91=4
Current State: 28:[48, 19, 4], Operations: ['95-91=4']
Exploring Operation: 19*4=76, Resulting Numbers: [48, 76]
Generated Node #3: [48, 76] from Operation: 19*4=76
Current State: 28:[48, 76], Operations: ['95-91=4', '19*4=76']
Exploring Operation: 76-48=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[91, 95, 48, 19], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [48, 19, 4]
Generated Node #0,0: 28:[48, 19, 4] Operation: 95-91=4
Exploring Operation: 95/19=5, Resulting Numbers: [91, 48, 5]
Generated Node #0,1: 28:[91, 48, 5] Operation: 95/19=5
Exploring Operation: 91-48=43, Resulting Numbers: [95, 19, 43]
Generated Node #0,2: 28:[95, 19, 43] Operation: 91-48=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[48, 19, 4], Operations: ['95-91=4']
Exploring Operation: 48-19=29, Resulting Numbers: [4, 29]
Generated Node #0,0,0: 28:[4, 29] Operation: 48-19=29
Exploring Operation: 48-4=44, Resulting Numbers: [19, 44]
Generated Node #0,0,1: 28:[19, 44] Operation: 48-4=44
Exploring Operation: 48/4=12, Resulting Numbers: [19, 12]
Generated Node #0,0,2: 28:[19, 12] Operation: 48/4=12
Moving to Node #0,0,0
Current State: 28:[4, 29], Operations: ['95-91=4', '48-19=29']
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,28 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[19, 12], Operations: ['95-91=4', '48/4=12']
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,28 unequal: No Solution
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[19, 44], Operations: ['95-91=4', '48-4=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,28 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,28 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
Current State: 28:[91, 48, 5], Operations: ['95/19=5']
Exploring Operation: 91-5=86, Resulting Numbers: [48, 86]
Generated Node #0,1,0: 28:[48, 86] Operation: 91-5=86
Exploring Operation: 91-48=43, Resulting Numbers: [5, 43]
Generated Node #0,1,1: 28:[5, 43] Operation: 91-48=43
Exploring Operation: 48-5=43, Resulting Numbers: [91, 43]
Generated Node #0,1,2: 28:[91, 43] Operation: 48-5=43
Moving to Node #0,1,1
Current State: 28:[5, 43], Operations: ['95/19=5', '91-48=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 5*43=215, Resulting Numbers: [215]
215,28 unequal: No Solution
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[48, 86], Operations: ['95/19=5', '91-5=86']
Exploring Operation: 48*86=4128, Resulting Numbers: [4128]
4128,28 unequal: No Solution
Exploring Operation: 48+86=134, Resulting Numbers: [134]
134,28 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[91, 43], Operations: ['95/19=5', '48-5=43']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 91+43=134, Resulting Numbers: [134]
134,28 unequal: No Solution
Exploring Operation: 91*43=3913, Resulting Numbers: [3913]
3913,28 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:[95, 19, 43], Operations: ['91-48=43']
Exploring Operation: 95-43=52, Resulting Numbers: [19, 52]
Generated Node #0,2,0: 28:[19, 52] Operation: 95-43=52
Exploring Operation: 95/19=5, Resulting Numbers: [43, 5]
Generated Node #0,2,1: 28:[43, 5] Operation: 95/19=5
Exploring Operation: 95-19=76, Resulting Numbers: [43, 76]
Generated Node #0,2,2: 28:[43, 76] Operation: 95-19=76
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[43, 5], Operations: ['91-48=43', '95/19=5']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,28 unequal: No Solution
Exploring Operation: 43*5=215, Resulting Numbers: [215]
215,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[19, 52], Operations: ['91-48=43', '95-43=52']
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,28 unequal: No Solution
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 19*52=988, Resulting Numbers: [988]
988,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[43, 76], Operations: ['91-48=43', '95-19=76']
Exploring Operation: 43*76=3268, Resulting Numbers: [3268]
3268,28 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 43+76=119, Resulting Numbers: [119]
119,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
50,
66,
34,
19
] | 26 | [
"50*19=950",
"950-66=884",
"884/34=26"
] | Current State: 26:[50, 66, 34, 19], Operations: []
Exploring Operation: 50*19=950, Resulting Numbers: [66, 34, 950]
Generated Node #2: [66, 34, 950] from Operation: 50*19=950
Current State: 26:[66, 34, 950], Operations: ['50*19=950']
Exploring Operation: 950-66=884, Resulting Numbers: [34, 884]
Generated Node #3: [34, 884] from Operation: 950-66=884
Current State: 26:[34, 884], Operations: ['50*19=950', '950-66=884']
Exploring Operation: 884/34=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[50, 66, 34, 19], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [66, 19, 16]
Generated Node #0,0: 26:[66, 19, 16] Operation: 50-34=16
Exploring Operation: 66-50=16, Resulting Numbers: [34, 19, 16]
Generated Node #0,1: 26:[34, 19, 16] Operation: 66-50=16
Exploring Operation: 50-19=31, Resulting Numbers: [66, 34, 31]
Generated Node #0,2: 26:[66, 34, 31] Operation: 50-19=31
Exploring Operation: 66-19=47, Resulting Numbers: [50, 34, 47]
Generated Node #0,3: 26:[50, 34, 47] Operation: 66-19=47
Exploring Operation: 66-34=32, Resulting Numbers: [50, 19, 32]
Generated Node #0,4: 26:[50, 19, 32] Operation: 66-34=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[34, 19, 16], Operations: ['66-50=16']
Exploring Operation: 19+16=35, Resulting Numbers: [34, 35]
Generated Node #0,1,0: 26:[34, 35] Operation: 19+16=35
Exploring Operation: 34+19=53, Resulting Numbers: [16, 53]
Generated Node #0,1,1: 26:[16, 53] Operation: 34+19=53
Exploring Operation: 34-16=18, Resulting Numbers: [19, 18]
Generated Node #0,1,2: 26:[19, 18] Operation: 34-16=18
Exploring Operation: 34-19=15, Resulting Numbers: [16, 15]
Generated Node #0,1,3: 26:[16, 15] Operation: 34-19=15
Exploring Operation: 19-16=3, Resulting Numbers: [34, 3]
Generated Node #0,1,4: 26:[34, 3] Operation: 19-16=3
Moving to Node #0,1,3
Current State: 26:[16, 15], Operations: ['66-50=16', '34-19=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,26 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Moving to Node #0,1,4
Current State: 26:[34, 3], Operations: ['66-50=16', '19-16=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[19, 18], Operations: ['66-50=16', '34-16=18']
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,26 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[34, 35], Operations: ['66-50=16', '19+16=35']
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,26 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[16, 53], Operations: ['66-50=16', '34+19=53']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Exploring Operation: 16*53=848, Resulting Numbers: [848]
848,26 unequal: No Solution
No 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: 26:[50, 19, 32], Operations: ['66-34=32']
Exploring Operation: 32-19=13, Resulting Numbers: [50, 13]
Generated Node #0,4,0: 26:[50, 13] Operation: 32-19=13
Exploring Operation: 19+32=51, Resulting Numbers: [50, 51]
Generated Node #0,4,1: 26:[50, 51] Operation: 19+32=51
Exploring Operation: 50-32=18, Resulting Numbers: [19, 18]
Generated Node #0,4,2: 26:[19, 18] Operation: 50-32=18
Exploring Operation: 50-19=31, Resulting Numbers: [32, 31]
Generated Node #0,4,3: 26:[32, 31] Operation: 50-19=31
Exploring Operation: 50+19=69, Resulting Numbers: [32, 69]
Generated Node #0,4,4: 26:[32, 69] Operation: 50+19=69
Moving to Node #0,4,2
Current State: 26:[19, 18], Operations: ['66-34=32', '50-32=18']
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,26 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Moving to Node #0,4,3
Current State: 26:[32, 31], Operations: ['66-34=32', '50-19=31']
Exploring Operation: 32*31=992, Resulting Numbers: [992]
992,26 unequal: No Solution
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Moving to Node #0,4,0
Current State: 26:[50, 13], Operations: ['66-34=32', '32-19=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,26 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Moving to Node #0,4,1
Current State: 26:[50, 51], Operations: ['66-34=32', '19+32=51']
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 50+51=101, Resulting Numbers: [101]
101,26 unequal: No Solution
Exploring Operation: 50*51=2550, Resulting Numbers: [2550]
2550,26 unequal: No Solution
Moving to Node #0,4,4
Current State: 26:[32, 69], Operations: ['66-34=32', '50+19=69']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 32*69=2208, Resulting Numbers: [2208]
2208,26 unequal: No Solution
Exploring Operation: 32+69=101, Resulting Numbers: [101]
101,26 unequal: No Solution
No 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: 26:[66, 19, 16], Operations: ['50-34=16']
Exploring Operation: 66-19=47, Resulting Numbers: [16, 47]
Generated Node #0,0,0: 26:[16, 47] Operation: 66-19=47
Exploring Operation: 66-16=50, Resulting Numbers: [19, 50]
Generated Node #0,0,1: 26:[19, 50] Operation: 66-16=50
Exploring Operation: 19-16=3, Resulting Numbers: [66, 3]
Generated Node #0,0,2: 26:[66, 3] Operation: 19-16=3
Exploring Operation: 66+19=85, Resulting Numbers: [16, 85]
Generated Node #0,0,3: 26:[16, 85] Operation: 66+19=85
Exploring Operation: 19+16=35, Resulting Numbers: [66, 35]
Generated Node #0,0,4: 26:[66, 35] Operation: 19+16=35
Moving to Node #0,0,0
Current State: 26:[16, 47], Operations: ['50-34=16', '66-19=47']
Exploring Operation: 16*47=752, Resulting Numbers: [752]
752,26 unequal: No Solution
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[19, 50], Operations: ['50-34=16', '66-16=50']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 19*50=950, Resulting Numbers: [950]
950,26 unequal: No Solution
Exploring Operation: 19+50=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[66, 3], Operations: ['50-34=16', '19-16=3']
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,26 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Moving to Node #0,0,4
Current State: 26:[66, 35], Operations: ['50-34=16', '19+16=35']
Exploring Operation: 66*35=2310, Resulting Numbers: [2310]
2310,26 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 66+35=101, Resulting Numbers: [101]
101,26 unequal: No Solution
Moving to Node #0,0,3
Current State: 26:[16, 85], Operations: ['50-34=16', '66+19=85']
Exploring Operation: 16*85=1360, Resulting Numbers: [1360]
1360,26 unequal: No Solution
Exploring Operation: 16+85=101, Resulting Numbers: [101]
101,26 unequal: No Solution
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,26 unequal: No Solution
No 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: 26:[66, 34, 31], Operations: ['50-19=31']
Exploring Operation: 66-34=32, Resulting Numbers: [31, 32]
Generated Node #0,2,0: 26:[31, 32] Operation: 66-34=32
Exploring Operation: 66-31=35, Resulting Numbers: [34, 35]
Generated Node #0,2,1: 26:[34, 35] Operation: 66-31=35
Exploring Operation: 66+31=97, Resulting Numbers: [34, 97]
Generated Node #0,2,2: 26:[34, 97] Operation: 66+31=97
Exploring Operation: 66+34=100, Resulting Numbers: [31, 100]
Generated Node #0,2,3: 26:[31, 100] Operation: 66+34=100
Exploring Operation: 34-31=3, Resulting Numbers: [66, 3]
Generated Node #0,2,4: 26:[66, 3] Operation: 34-31=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 26:[31, 32], Operations: ['50-19=31', '66-34=32']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,26 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,26 unequal: No Solution
No 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: 26:[34, 35], Operations: ['50-19=31', '66-31=35']
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,26 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,26 unequal: No Solution
No 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: 26:[66, 3], Operations: ['50-19=31', '34-31=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,26 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,26 unequal: No Solution
No 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: 26:[34, 97], Operations: ['50-19=31', '66+31=97']
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 34*97=3298, Resulting Numbers: [3298]
3298,26 unequal: No Solution
Exploring Operation: 34+97=131, Resulting Numbers: [131]
131,26 unequal: No Solution
No 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: 26:[31, 100], Operations: ['50-19=31', '66+34=100']
Exploring Operation: 100-31=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Exploring Operation: 31+100=131, Resulting Numbers: [131]
131,26 unequal: No Solution
Exploring Operation: 31*100=3100, Resulting Numbers: [3100]
3100,26 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: 26:[50, 34, 47], Operations: ['66-19=47']
Exploring Operation: 50+47=97, Resulting Numbers: [34, 97]
Generated Node #0,3,0: 26:[34, 97] Operation: 50+47=97
Exploring Operation: 50+34=84, Resulting Numbers: [47, 84]
Generated Node #0,3,1: 26:[47, 84] Operation: 50+34=84
Exploring Operation: 50-47=3, Resulting Numbers: [34, 3]
Generated Node #0,3,2: 26:[34, 3] Operation: 50-47=3
Exploring Operation: 47-34=13, Resulting Numbers: [50, 13]
Generated Node #0,3,3: 26:[50, 13] Operation: 47-34=13
Exploring Operation: 50-34=16, Resulting Numbers: [47, 16]
Generated Node #0,3,4: 26:[47, 16] Operation: 50-34=16
Moving to Node #0,3,2
Current State: 26:[34, 3], Operations: ['66-19=47', '50-47=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,26 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Moving to Node #0,3,4
Current State: 26:[47, 16], Operations: ['66-19=47', '50-34=16']
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 47*16=752, Resulting Numbers: [752]
752,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[50, 13], Operations: ['66-19=47', '47-34=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[34, 97], Operations: ['66-19=47', '50+47=97']
Exploring Operation: 34*97=3298, Resulting Numbers: [3298]
3298,26 unequal: No Solution
Exploring Operation: 34+97=131, Resulting Numbers: [131]
131,26 unequal: No Solution
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[47, 84], Operations: ['66-19=47', '50+34=84']
Exploring Operation: 47*84=3948, Resulting Numbers: [3948]
3948,26 unequal: No Solution
Exploring Operation: 47+84=131, Resulting Numbers: [131]
131,26 unequal: No Solution
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
5,
47,
42,
35
] | 96 | [
"35/5=7",
"47+42=89",
"7+89=96"
] | Current State: 96:[5, 47, 42, 35], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [47, 42, 7]
Generated Node #2: [47, 42, 7] from Operation: 35/5=7
Current State: 96:[47, 42, 7], Operations: ['35/5=7']
Exploring Operation: 47+42=89, Resulting Numbers: [7, 89]
Generated Node #3: [7, 89] from Operation: 47+42=89
Current State: 96:[7, 89], Operations: ['35/5=7', '47+42=89']
Exploring Operation: 7+89=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[5, 47, 42, 35], Operations: []
Exploring Operation: 5+42=47, Resulting Numbers: [47, 35, 47]
Generated Node #0,0: 96:[47, 35, 47] Operation: 5+42=47
Exploring Operation: 42-35=7, Resulting Numbers: [5, 47, 7]
Generated Node #0,1: 96:[5, 47, 7] Operation: 42-35=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[5, 47, 7], Operations: ['42-35=7']
Exploring Operation: 5+7=12, Resulting Numbers: [47, 12]
Generated Node #0,1,0: 96:[47, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [47, 2]
Generated Node #0,1,1: 96:[47, 2] Operation: 7-5=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[47, 12], Operations: ['42-35=7', '5+7=12']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,96 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 #0,1,1
Current State: 96:[47, 2], Operations: ['42-35=7', '7-5=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,96 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,96 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 #0,0
Current State: 96:[47, 35, 47], Operations: ['5+42=47']
Exploring Operation: 47-35=12, Resulting Numbers: [47, 12]
Generated Node #0,0,0: 96:[47, 12] Operation: 47-35=12
Exploring Operation: 47-35=12, Resulting Numbers: [47, 12]
Generated Node #0,0,1: 96:[47, 12] Operation: 47-35=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[47, 12], Operations: ['5+42=47', '47-35=12']
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,96 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 #0,0,1
Current State: 96:[47, 12], Operations: ['5+42=47', '47-35=12']
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,96 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
No solution found.
| 0 | hs_2 | mult_heuristic |
[
6,
31,
39,
38
] | 24 | [
"31-6=25",
"39-38=1",
"25-1=24"
] | Current State: 24:[6, 31, 39, 38], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [39, 38, 25]
Generated Node #2: [39, 38, 25] from Operation: 31-6=25
Current State: 24:[39, 38, 25], Operations: ['31-6=25']
Exploring Operation: 39-38=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 39-38=1
Current State: 24:[25, 1], Operations: ['31-6=25', '39-38=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[6, 31, 39, 38], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [6, 38, 8]
Generated Node #0,0: 24:[6, 38, 8] Operation: 39-31=8
Exploring Operation: 39-38=1, Resulting Numbers: [6, 31, 1]
Generated Node #0,1: 24:[6, 31, 1] Operation: 39-38=1
Moving to Node #0,1
Current State: 24:[6, 31, 1], Operations: ['39-38=1']
Exploring Operation: 31-6=25, Resulting Numbers: [1, 25]
Generated Node #0,1,0: 24:[1, 25] Operation: 31-6=25
Exploring Operation: 31-1=30, Resulting Numbers: [6, 30]
Generated Node #0,1,1: 24:[6, 30] Operation: 31-1=30
Moving to Node #0,0
Current State: 24:[6, 38, 8], Operations: ['39-31=8']
Exploring Operation: 38-8=30, Resulting Numbers: [6, 30]
Generated Node #0,0,0: 24:[6, 30] Operation: 38-8=30
Exploring Operation: 38-6=32, Resulting Numbers: [8, 32]
Generated Node #0,0,1: 24:[8, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[6, 30], Operations: ['39-31=8', '38-8=30']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[6, 31, 39, 38], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [6, 38, 8]
Generated Node #0,0: 24:[6, 38, 8] Operation: 39-31=8
Moving to Node #0,0
Current State: 24:[6, 38, 8], Operations: ['39-31=8']
Exploring Operation: 38-8=30, Resulting Numbers: [6, 30]
Generated Node #0,0,0: 24:[6, 30] Operation: 38-8=30
Moving to Node #0,0,0
Current State: 24:[6, 30], Operations: ['39-31=8', '38-8=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
37,
35,
81,
32
] | 47 | [
"37-35=2",
"81-32=49",
"49-2=47"
] | Current State: 47:[37, 35, 81, 32], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [81, 32, 2]
Generated Node #2: [81, 32, 2] from Operation: 37-35=2
Current State: 47:[81, 32, 2], Operations: ['37-35=2']
Exploring Operation: 81-32=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 81-32=49
Current State: 47:[2, 49], Operations: ['37-35=2', '81-32=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[37, 35, 81, 32], Operations: []
Exploring Operation: 81-37=44, Resulting Numbers: [35, 32, 44]
Generated Node #0,0: 47:[35, 32, 44] Operation: 81-37=44
Exploring Operation: 81-32=49, Resulting Numbers: [37, 35, 49]
Generated Node #0,1: 47:[37, 35, 49] Operation: 81-32=49
Exploring Operation: 81-35=46, Resulting Numbers: [37, 32, 46]
Generated Node #0,2: 47:[37, 32, 46] Operation: 81-35=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[37, 35, 49], Operations: ['81-32=49']
Exploring Operation: 37-35=2, Resulting Numbers: [49, 2]
Generated Node #0,1,0: 47:[49, 2] Operation: 37-35=2
Exploring Operation: 49-35=14, Resulting Numbers: [37, 14]
Generated Node #0,1,1: 47:[37, 14] Operation: 49-35=14
Exploring Operation: 37+35=72, Resulting Numbers: [49, 72]
Generated Node #0,1,2: 47:[49, 72] Operation: 37+35=72
Moving to Node #0,1,2
Current State: 47:[49, 72], Operations: ['81-32=49', '37+35=72']
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 49*72=3528, Resulting Numbers: [3528]
3528,47 unequal: No Solution
Exploring Operation: 49+72=121, Resulting Numbers: [121]
121,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[37, 14], Operations: ['81-32=49', '49-35=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[49, 2], Operations: ['81-32=49', '37-35=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[37, 35, 81, 32], Operations: []
Exploring Operation: 81-32=49, Resulting Numbers: [37, 35, 49]
Generated Node #0,1: 47:[37, 35, 49] Operation: 81-32=49
Moving to Node #0,1
Current State: 47:[37, 35, 49], Operations: ['81-32=49']
Exploring Operation: 37-35=2, Resulting Numbers: [49, 2]
Generated Node #0,1,0: 47:[49, 2] Operation: 37-35=2
Moving to Node #0,1,0
Current State: 47:[49, 2], Operations: ['81-32=49', '37-35=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
11,
25,
80,
42
] | 24 | [
"25-11=14",
"80-42=38",
"38-14=24"
] | Current State: 24:[11, 25, 80, 42], Operations: []
Exploring Operation: 25-11=14, Resulting Numbers: [80, 42, 14]
Generated Node #2: [80, 42, 14] from Operation: 25-11=14
Current State: 24:[80, 42, 14], Operations: ['25-11=14']
Exploring Operation: 80-42=38, Resulting Numbers: [14, 38]
Generated Node #3: [14, 38] from Operation: 80-42=38
Current State: 24:[14, 38], Operations: ['25-11=14', '80-42=38']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[11, 25, 80, 42], Operations: []
Exploring Operation: 80-42=38, Resulting Numbers: [11, 25, 38]
Generated Node #0,0: 24:[11, 25, 38] Operation: 80-42=38
Moving to Node #0,0
Current State: 24:[11, 25, 38], Operations: ['80-42=38']
Exploring Operation: 38-25=13, Resulting Numbers: [11, 13]
Generated Node #0,0,0: 24:[11, 13] Operation: 38-25=13
Moving to Node #0,0,0
Current State: 24:[11, 13], Operations: ['80-42=38', '38-25=13']
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[11, 25, 80, 42], Operations: []
Exploring Operation: 80-42=38, Resulting Numbers: [11, 25, 38]
Generated Node #0,0: 24:[11, 25, 38] Operation: 80-42=38
Moving to Node #0,0
Current State: 24:[11, 25, 38], Operations: ['80-42=38']
Exploring Operation: 38-25=13, Resulting Numbers: [11, 13]
Generated Node #0,0,0: 24:[11, 13] Operation: 38-25=13
Moving to Node #0,0,0
Current State: 24:[11, 13], Operations: ['80-42=38', '38-25=13']
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
24,
94,
99,
3
] | 13 | [
"24/3=8",
"99-94=5",
"8+5=13"
] | Current State: 13:[24, 94, 99, 3], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [94, 99, 8]
Generated Node #2: [94, 99, 8] from Operation: 24/3=8
Current State: 13:[94, 99, 8], Operations: ['24/3=8']
Exploring Operation: 99-94=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 99-94=5
Current State: 13:[8, 5], Operations: ['24/3=8', '99-94=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[24, 94, 99, 3], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [24, 3, 5]
Generated Node #0,0: 13:[24, 3, 5] Operation: 99-94=5
Exploring Operation: 99/3=33, Resulting Numbers: [24, 94, 33]
Generated Node #0,1: 13:[24, 94, 33] Operation: 99/3=33
Exploring Operation: 94-24=70, Resulting Numbers: [99, 3, 70]
Generated Node #0,2: 13:[99, 3, 70] Operation: 94-24=70
Moving to Node #0,0
Current State: 13:[24, 3, 5], Operations: ['99-94=5']
Exploring Operation: 3*5=15, Resulting Numbers: [24, 15]
Generated Node #0,0,0: 13:[24, 15] Operation: 3*5=15
Exploring Operation: 24/3=8, Resulting Numbers: [5, 8]
Generated Node #0,0,1: 13:[5, 8] Operation: 24/3=8
Exploring Operation: 24-3=21, Resulting Numbers: [5, 21]
Generated Node #0,0,2: 13:[5, 21] Operation: 24-3=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[24, 15], Operations: ['99-94=5', '3*5=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[5, 8], Operations: ['99-94=5', '24/3=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[24, 94, 99, 3], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [24, 3, 5]
Generated Node #0,0: 13:[24, 3, 5] Operation: 99-94=5
Moving to Node #0,0
Current State: 13:[24, 3, 5], Operations: ['99-94=5']
Exploring Operation: 24/3=8, Resulting Numbers: [5, 8]
Generated Node #0,0,1: 13:[5, 8] Operation: 24/3=8
Moving to Node #0,0,1
Current State: 13:[5, 8], Operations: ['99-94=5', '24/3=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
88,
43,
15,
52
] | 94 | [
"88+43=131",
"52-15=37",
"131-37=94"
] | Current State: 94:[88, 43, 15, 52], Operations: []
Exploring Operation: 88+43=131, Resulting Numbers: [15, 52, 131]
Generated Node #2: [15, 52, 131] from Operation: 88+43=131
Current State: 94:[15, 52, 131], Operations: ['88+43=131']
Exploring Operation: 52-15=37, Resulting Numbers: [131, 37]
Generated Node #3: [131, 37] from Operation: 52-15=37
Current State: 94:[131, 37], Operations: ['88+43=131', '52-15=37']
Exploring Operation: 131-37=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[88, 43, 15, 52], Operations: []
Exploring Operation: 88-43=45, Resulting Numbers: [15, 52, 45]
Generated Node #0,0: 94:[15, 52, 45] Operation: 88-43=45
Exploring Operation: 88+15=103, Resulting Numbers: [43, 52, 103]
Generated Node #0,1: 94:[43, 52, 103] Operation: 88+15=103
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[43, 52, 103], Operations: ['88+15=103']
Exploring Operation: 103-52=51, Resulting Numbers: [43, 51]
Generated Node #0,1,0: 94:[43, 51] Operation: 103-52=51
Exploring Operation: 43+52=95, Resulting Numbers: [103, 95]
Generated Node #0,1,1: 94:[103, 95] Operation: 43+52=95
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[43, 51], Operations: ['88+15=103', '103-52=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[88, 43, 15, 52], Operations: []
Exploring Operation: 88+15=103, Resulting Numbers: [43, 52, 103]
Generated Node #0,1: 94:[43, 52, 103] Operation: 88+15=103
Moving to Node #0,1
Current State: 94:[43, 52, 103], Operations: ['88+15=103']
Exploring Operation: 103-52=51, Resulting Numbers: [43, 51]
Generated Node #0,1,0: 94:[43, 51] Operation: 103-52=51
Moving to Node #0,1,0
Current State: 94:[43, 51], Operations: ['88+15=103', '103-52=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
43,
17,
49,
15
] | 90 | [
"43-17=26",
"49+15=64",
"26+64=90"
] | Current State: 90:[43, 17, 49, 15], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [49, 15, 26]
Generated Node #2: [49, 15, 26] from Operation: 43-17=26
Current State: 90:[49, 15, 26], Operations: ['43-17=26']
Exploring Operation: 49+15=64, Resulting Numbers: [26, 64]
Generated Node #3: [26, 64] from Operation: 49+15=64
Current State: 90:[26, 64], Operations: ['43-17=26', '49+15=64']
Exploring Operation: 26+64=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[43, 17, 49, 15], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [17, 15, 6]
Generated Node #0,0: 90:[17, 15, 6] Operation: 49-43=6
Exploring Operation: 43+49=92, Resulting Numbers: [17, 15, 92]
Generated Node #0,1: 90:[17, 15, 92] Operation: 43+49=92
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[17, 15, 6], Operations: ['49-43=6']
Exploring Operation: 17-15=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 90:[6, 2] Operation: 17-15=2
Exploring Operation: 17-6=11, Resulting Numbers: [15, 11]
Generated Node #0,0,1: 90:[15, 11] Operation: 17-6=11
Moving to Node #0,0,0
Current State: 90:[6, 2], Operations: ['49-43=6', '17-15=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[15, 11], Operations: ['49-43=6', '17-6=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[17, 15, 92], Operations: ['43+49=92']
Exploring Operation: 17-15=2, Resulting Numbers: [92, 2]
Generated Node #0,1,0: 90:[92, 2] Operation: 17-15=2
Exploring Operation: 17+15=32, Resulting Numbers: [92, 32]
Generated Node #0,1,1: 90:[92, 32] Operation: 17+15=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[92, 2], Operations: ['43+49=92', '17-15=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[43, 17, 49, 15], Operations: []
Exploring Operation: 43+49=92, Resulting Numbers: [17, 15, 92]
Generated Node #0,1: 90:[17, 15, 92] Operation: 43+49=92
Moving to Node #0,1
Current State: 90:[17, 15, 92], Operations: ['43+49=92']
Exploring Operation: 17-15=2, Resulting Numbers: [92, 2]
Generated Node #0,1,0: 90:[92, 2] Operation: 17-15=2
Moving to Node #0,1,0
Current State: 90:[92, 2], Operations: ['43+49=92', '17-15=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
57,
46,
2,
8
] | 90 | [
"57-46=11",
"8*11=88",
"2+88=90"
] | Current State: 90:[57, 46, 2, 8], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [2, 8, 11]
Generated Node #2: [2, 8, 11] from Operation: 57-46=11
Current State: 90:[2, 8, 11], Operations: ['57-46=11']
Exploring Operation: 8*11=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 8*11=88
Current State: 90:[2, 88], Operations: ['57-46=11', '8*11=88']
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[57, 46, 2, 8], Operations: []
Exploring Operation: 57-8=49, Resulting Numbers: [46, 2, 49]
Generated Node #0,0: 90:[46, 2, 49] Operation: 57-8=49
Exploring Operation: 57-2=55, Resulting Numbers: [46, 8, 55]
Generated Node #0,1: 90:[46, 8, 55] Operation: 57-2=55
Exploring Operation: 57-46=11, Resulting Numbers: [2, 8, 11]
Generated Node #0,2: 90:[2, 8, 11] Operation: 57-46=11
Moving to Node #0,2
Current State: 90:[2, 8, 11], Operations: ['57-46=11']
Exploring Operation: 11-8=3, Resulting Numbers: [2, 3]
Generated Node #0,2,0: 90:[2, 3] Operation: 11-8=3
Exploring Operation: 8-2=6, Resulting Numbers: [11, 6]
Generated Node #0,2,1: 90:[11, 6] Operation: 8-2=6
Exploring Operation: 2+8=10, Resulting Numbers: [11, 10]
Generated Node #0,2,2: 90:[11, 10] Operation: 2+8=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 90:[2, 3], Operations: ['57-46=11', '11-8=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,90 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:[11, 6], Operations: ['57-46=11', '8-2=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,90 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:[11, 10], Operations: ['57-46=11', '2+8=10']
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,90 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,90 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: 90:[46, 2, 49], Operations: ['57-8=49']
Exploring Operation: 46-2=44, Resulting Numbers: [49, 44]
Generated Node #0,0,0: 90:[49, 44] Operation: 46-2=44
Exploring Operation: 49-46=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 90:[2, 3] Operation: 49-46=3
Exploring Operation: 49-2=47, Resulting Numbers: [46, 47]
Generated Node #0,0,2: 90:[46, 47] Operation: 49-2=47
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[2, 3], Operations: ['57-8=49', '49-46=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 90:[46, 47], Operations: ['57-8=49', '49-2=47']
Exploring Operation: 47-46=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 46+47=93, Resulting Numbers: [93]
93,90 unequal: No Solution
Exploring Operation: 46*47=2162, Resulting Numbers: [2162]
2162,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[49, 44], Operations: ['57-8=49', '46-2=44']
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,90 unequal: No Solution
Exploring Operation: 49*44=2156, Resulting Numbers: [2156]
2156,90 unequal: No Solution
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,90 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: 90:[46, 8, 55], Operations: ['57-2=55']
Exploring Operation: 55-8=47, Resulting Numbers: [46, 47]
Generated Node #0,1,0: 90:[46, 47] Operation: 55-8=47
Exploring Operation: 46+55=101, Resulting Numbers: [8, 101]
Generated Node #0,1,1: 90:[8, 101] Operation: 46+55=101
Exploring Operation: 55-46=9, Resulting Numbers: [8, 9]
Generated Node #0,1,2: 90:[8, 9] Operation: 55-46=9
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 90:[8, 9], Operations: ['57-2=55', '55-46=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[46, 47], Operations: ['57-2=55', '55-8=47']
Exploring Operation: 46*47=2162, Resulting Numbers: [2162]
2162,90 unequal: No Solution
Exploring Operation: 47-46=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 46+47=93, Resulting Numbers: [93]
93,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[8, 101], Operations: ['57-2=55', '46+55=101']
Exploring Operation: 101-8=93, Resulting Numbers: [93]
93,90 unequal: No Solution
Exploring Operation: 8+101=109, Resulting Numbers: [109]
109,90 unequal: No Solution
Exploring Operation: 8*101=808, Resulting Numbers: [808]
808,90 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 |
[
2,
69,
52,
65
] | 99 | [
"69-52=17",
"2*17=34",
"65+34=99"
] | Current State: 99:[2, 69, 52, 65], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [2, 65, 17]
Generated Node #2: [2, 65, 17] from Operation: 69-52=17
Current State: 99:[2, 65, 17], Operations: ['69-52=17']
Exploring Operation: 2*17=34, Resulting Numbers: [65, 34]
Generated Node #3: [65, 34] from Operation: 2*17=34
Current State: 99:[65, 34], Operations: ['69-52=17', '2*17=34']
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[2, 69, 52, 65], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [2, 52, 4]
Generated Node #0,0: 99:[2, 52, 4] Operation: 69-65=4
Exploring Operation: 52+65=117, Resulting Numbers: [2, 69, 117]
Generated Node #0,1: 99:[2, 69, 117] Operation: 52+65=117
Exploring Operation: 65-52=13, Resulting Numbers: [2, 69, 13]
Generated Node #0,2: 99:[2, 69, 13] Operation: 65-52=13
Exploring Operation: 69-52=17, Resulting Numbers: [2, 65, 17]
Generated Node #0,3: 99:[2, 65, 17] Operation: 69-52=17
Exploring Operation: 69+52=121, Resulting Numbers: [2, 65, 121]
Generated Node #0,4: 99:[2, 65, 121] Operation: 69+52=121
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[2, 52, 4], Operations: ['69-65=4']
Exploring Operation: 52-4=48, Resulting Numbers: [2, 48]
Generated Node #0,0,0: 99:[2, 48] Operation: 52-4=48
Exploring Operation: 52-2=50, Resulting Numbers: [4, 50]
Generated Node #0,0,1: 99:[4, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [4, 26]
Generated Node #0,0,2: 99:[4, 26] Operation: 52/2=26
Exploring Operation: 52/4=13, Resulting Numbers: [2, 13]
Generated Node #0,0,3: 99:[2, 13] Operation: 52/4=13
Exploring Operation: 2*52=104, Resulting Numbers: [4, 104]
Generated Node #0,0,4: 99:[4, 104] Operation: 2*52=104
Moving to Node #0,0,3
Current State: 99:[2, 13], Operations: ['69-65=4', '52/4=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,99 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Moving to Node #0,0,4
Current State: 99:[4, 104], Operations: ['69-65=4', '2*52=104']
Exploring Operation: 4+104=108, Resulting Numbers: [108]
108,99 unequal: No Solution
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 4*104=416, Resulting Numbers: [416]
416,99 unequal: No Solution
Exploring Operation: 104-4=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[4, 26], Operations: ['69-65=4', '52/2=26']
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,99 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,99 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[2, 48], Operations: ['69-65=4', '52-4=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[4, 50], Operations: ['69-65=4', '52-2=50']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,99 unequal: No Solution
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[2, 69, 13], Operations: ['65-52=13']
Exploring Operation: 69+13=82, Resulting Numbers: [2, 82]
Generated Node #0,2,0: 99:[2, 82] Operation: 69+13=82
Exploring Operation: 69-13=56, Resulting Numbers: [2, 56]
Generated Node #0,2,1: 99:[2, 56] Operation: 69-13=56
Exploring Operation: 2+69=71, Resulting Numbers: [13, 71]
Generated Node #0,2,2: 99:[13, 71] Operation: 2+69=71
Exploring Operation: 69-2=67, Resulting Numbers: [13, 67]
Generated Node #0,2,3: 99:[13, 67] Operation: 69-2=67
Exploring Operation: 13-2=11, Resulting Numbers: [69, 11]
Generated Node #0,2,4: 99:[69, 11] Operation: 13-2=11
Moving to Node #0,2,0
Current State: 99:[2, 82], Operations: ['65-52=13', '69+13=82']
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,99 unequal: No Solution
Moving to Node #0,2,1
Current State: 99:[2, 56], Operations: ['65-52=13', '69-13=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,99 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,99 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[13, 71], Operations: ['65-52=13', '2+69=71']
Exploring Operation: 13*71=923, Resulting Numbers: [923]
923,99 unequal: No Solution
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 13+71=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Moving to Node #0,2,4
Current State: 99:[69, 11], Operations: ['65-52=13', '13-2=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,99 unequal: No Solution
Exploring Operation: 69*11=759, Resulting Numbers: [759]
759,99 unequal: No Solution
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[13, 67], Operations: ['65-52=13', '69-2=67']
Exploring Operation: 13*67=871, Resulting Numbers: [871]
871,99 unequal: No Solution
Exploring Operation: 13+67=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 67-13=54, Resulting Numbers: [54]
54,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 99:[2, 65, 17], Operations: ['69-52=17']
Exploring Operation: 65+17=82, Resulting Numbers: [2, 82]
Generated Node #0,3,0: 99:[2, 82] Operation: 65+17=82
Exploring Operation: 2*17=34, Resulting Numbers: [65, 34]
Generated Node #0,3,1: 99:[65, 34] Operation: 2*17=34
Exploring Operation: 65-17=48, Resulting Numbers: [2, 48]
Generated Node #0,3,2: 99:[2, 48] Operation: 65-17=48
Exploring Operation: 65-2=63, Resulting Numbers: [17, 63]
Generated Node #0,3,3: 99:[17, 63] Operation: 65-2=63
Exploring Operation: 17-2=15, Resulting Numbers: [65, 15]
Generated Node #0,3,4: 99:[65, 15] Operation: 17-2=15
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 99:[2, 48], Operations: ['69-52=17', '65-17=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,99 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,99 unequal: No Solution
No 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: 99:[2, 82], Operations: ['69-52=17', '65+17=82']
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,99 unequal: No Solution
No 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: 99:[65, 34], Operations: ['69-52=17', '2*17=34']
Exploring Operation: 65*34=2210, Resulting Numbers: [2210]
2210,99 unequal: No Solution
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[2, 69, 52, 65], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [2, 65, 17]
Generated Node #0,3: 99:[2, 65, 17] Operation: 69-52=17
Moving to Node #0,3
Current State: 99:[2, 65, 17], Operations: ['69-52=17']
Exploring Operation: 2*17=34, Resulting Numbers: [65, 34]
Generated Node #0,3,1: 99:[65, 34] Operation: 2*17=34
Moving to Node #0,3,1
Current State: 99:[65, 34], Operations: ['69-52=17', '2*17=34']
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.940972 | hs_5 | sum_heuristic |
[
93,
5,
6,
73
] | 94 | [
"93-73=20",
"5*20=100",
"100-6=94"
] | Current State: 94:[93, 5, 6, 73], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [5, 6, 20]
Generated Node #2: [5, 6, 20] from Operation: 93-73=20
Current State: 94:[5, 6, 20], Operations: ['93-73=20']
Exploring Operation: 5*20=100, Resulting Numbers: [6, 100]
Generated Node #3: [6, 100] from Operation: 5*20=100
Current State: 94:[6, 100], Operations: ['93-73=20', '5*20=100']
Exploring Operation: 100-6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[93, 5, 6, 73], Operations: []
Exploring Operation: 6+73=79, Resulting Numbers: [93, 5, 79]
Generated Node #0,0: 94:[93, 5, 79] Operation: 6+73=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[93, 5, 79], Operations: ['6+73=79']
Exploring Operation: 5+79=84, Resulting Numbers: [93, 84]
Generated Node #0,0,0: 94:[93, 84] Operation: 5+79=84
Moving to Node #0,0,0
Current State: 94:[93, 84], Operations: ['6+73=79', '5+79=84']
Exploring Operation: 93-84=9, Resulting Numbers: [9]
9,94 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 |
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