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 |
|---|---|---|---|---|---|---|---|---|
[
15,
93,
91,
31
] | 73 | [
"91-15=76",
"93/31=3",
"76-3=73"
] | Current State: 73:[15, 93, 91, 31], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [93, 31, 76]
Generated Node #2: [93, 31, 76] from Operation: 91-15=76
Current State: 73:[93, 31, 76], Operations: ['91-15=76']
Exploring Operation: 93/31=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 93/31=3
Current State: 73:[76, 3], Operations: ['91-15=76', '93/31=3']
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[15, 93, 91, 31], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [93, 31, 76]
Generated Node #0,0: 73:[93, 31, 76] Operation: 91-15=76
Exploring Operation: 93-15=78, Resulting Numbers: [91, 31, 78]
Generated Node #0,1: 73:[91, 31, 78] Operation: 93-15=78
Exploring Operation: 15+31=46, Resulting Numbers: [93, 91, 46]
Generated Node #0,2: 73:[93, 91, 46] Operation: 15+31=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[93, 31, 76], Operations: ['91-15=76']
Exploring Operation: 93-31=62, Resulting Numbers: [76, 62]
Generated Node #0,0,0: 73:[76, 62] Operation: 93-31=62
Exploring Operation: 93+31=124, Resulting Numbers: [76, 124]
Generated Node #0,0,1: 73:[76, 124] Operation: 93+31=124
Exploring Operation: 76-31=45, Resulting Numbers: [93, 45]
Generated Node #0,0,2: 73:[93, 45] Operation: 76-31=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[76, 62], Operations: ['91-15=76', '93-31=62']
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 76+62=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 76*62=4712, Resulting Numbers: [4712]
4712,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[93, 45], Operations: ['91-15=76', '76-31=45']
Exploring Operation: 93*45=4185, Resulting Numbers: [4185]
4185,73 unequal: No Solution
Exploring Operation: 93+45=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[76, 124], Operations: ['91-15=76', '93+31=124']
Exploring Operation: 124-76=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 76*124=9424, Resulting Numbers: [9424]
9424,73 unequal: No Solution
Exploring Operation: 76+124=200, Resulting Numbers: [200]
200,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[91, 31, 78], Operations: ['93-15=78']
Exploring Operation: 91-31=60, Resulting Numbers: [78, 60]
Generated Node #0,1,0: 73:[78, 60] Operation: 91-31=60
Exploring Operation: 91+31=122, Resulting Numbers: [78, 122]
Generated Node #0,1,1: 73:[78, 122] Operation: 91+31=122
Exploring Operation: 78-31=47, Resulting Numbers: [91, 47]
Generated Node #0,1,2: 73:[91, 47] Operation: 78-31=47
Moving to Node #0,1,0
Current State: 73:[78, 60], Operations: ['93-15=78', '91-31=60']
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,73 unequal: No Solution
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,73 unequal: No Solution
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[91, 47], Operations: ['93-15=78', '78-31=47']
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Exploring Operation: 91*47=4277, Resulting Numbers: [4277]
4277,73 unequal: No Solution
Exploring Operation: 91+47=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[78, 122], Operations: ['93-15=78', '91+31=122']
Exploring Operation: 122-78=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Exploring Operation: 78*122=9516, Resulting Numbers: [9516]
9516,73 unequal: No Solution
Exploring Operation: 78+122=200, Resulting Numbers: [200]
200,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[93, 91, 46], Operations: ['15+31=46']
Exploring Operation: 93-46=47, Resulting Numbers: [91, 47]
Generated Node #0,2,0: 73:[91, 47] Operation: 93-46=47
Exploring Operation: 93+46=139, Resulting Numbers: [91, 139]
Generated Node #0,2,1: 73:[91, 139] Operation: 93+46=139
Exploring Operation: 91-46=45, Resulting Numbers: [93, 45]
Generated Node #0,2,2: 73:[93, 45] Operation: 91-46=45
Moving to Node #0,2,0
Current State: 73:[91, 47], Operations: ['15+31=46', '93-46=47']
Exploring Operation: 91*47=4277, Resulting Numbers: [4277]
4277,73 unequal: No Solution
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Exploring Operation: 91+47=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[93, 45], Operations: ['15+31=46', '91-46=45']
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 93*45=4185, Resulting Numbers: [4185]
4185,73 unequal: No Solution
Exploring Operation: 93+45=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[91, 139], Operations: ['15+31=46', '93+46=139']
Exploring Operation: 91*139=12649, Resulting Numbers: [12649]
12649,73 unequal: No Solution
Exploring Operation: 91+139=230, Resulting Numbers: [230]
230,73 unequal: No Solution
Exploring Operation: 139-91=48, Resulting Numbers: [48]
48,73 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 |
[
63,
69,
27,
65
] | 86 | [
"69-63=6",
"27+65=92",
"92-6=86"
] | Current State: 86:[63, 69, 27, 65], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [27, 65, 6]
Generated Node #2: [27, 65, 6] from Operation: 69-63=6
Current State: 86:[27, 65, 6], Operations: ['69-63=6']
Exploring Operation: 27+65=92, Resulting Numbers: [6, 92]
Generated Node #3: [6, 92] from Operation: 27+65=92
Current State: 86:[6, 92], Operations: ['69-63=6', '27+65=92']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[63, 69, 27, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [69, 27, 2]
Generated Node #0,0: 86:[69, 27, 2] Operation: 65-63=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[69, 27, 2], Operations: ['65-63=2']
Exploring Operation: 69-27=42, Resulting Numbers: [2, 42]
Generated Node #0,0,0: 86:[2, 42] Operation: 69-27=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[2, 42], Operations: ['65-63=2', '69-27=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
29,
3,
64,
52
] | 20 | [
"29+3=32",
"64-52=12",
"32-12=20"
] | Current State: 20:[29, 3, 64, 52], Operations: []
Exploring Operation: 29+3=32, Resulting Numbers: [64, 52, 32]
Generated Node #2: [64, 52, 32] from Operation: 29+3=32
Current State: 20:[64, 52, 32], Operations: ['29+3=32']
Exploring Operation: 64-52=12, Resulting Numbers: [32, 12]
Generated Node #3: [32, 12] from Operation: 64-52=12
Current State: 20:[32, 12], Operations: ['29+3=32', '64-52=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[29, 3, 64, 52], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [29, 3, 12]
Generated Node #0,0: 20:[29, 3, 12] Operation: 64-52=12
Moving to Node #0,0
Current State: 20:[29, 3, 12], Operations: ['64-52=12']
Exploring Operation: 29-12=17, Resulting Numbers: [3, 17]
Generated Node #0,0,0: 20:[3, 17] Operation: 29-12=17
Moving to Node #0,0,0
Current State: 20:[3, 17], Operations: ['64-52=12', '29-12=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[29, 3, 64, 52], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [29, 3, 12]
Generated Node #0,0: 20:[29, 3, 12] Operation: 64-52=12
Moving to Node #0,0
Current State: 20:[29, 3, 12], Operations: ['64-52=12']
Exploring Operation: 29-12=17, Resulting Numbers: [3, 17]
Generated Node #0,0,0: 20:[3, 17] Operation: 29-12=17
Moving to Node #0,0,0
Current State: 20:[3, 17], Operations: ['64-52=12', '29-12=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
5,
33,
88,
5
] | 65 | [
"33-5=28",
"88+5=93",
"93-28=65"
] | Current State: 65:[5, 33, 88, 5], Operations: []
Exploring Operation: 33-5=28, Resulting Numbers: [88, 28]
Generated Node #2: [88, 28] from Operation: 33-5=28
Current State: 65:[88, 28], Operations: ['33-5=28']
Exploring Operation: 88+5=93, Resulting Numbers: [28, 93]
Generated Node #3: [28, 93] from Operation: 88+5=93
Current State: 65:[28, 93], Operations: ['33-5=28', '88+5=93']
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[5, 33, 88, 5], Operations: []
Exploring Operation: 33-5=28, Resulting Numbers: [88, 5, 28]
Generated Node #0,0: 65:[88, 5, 28] Operation: 33-5=28
Exploring Operation: 88-33=55, Resulting Numbers: [5, 5, 55]
Generated Node #0,1: 65:[5, 5, 55] Operation: 88-33=55
Exploring Operation: 88-5=83, Resulting Numbers: [33, 5, 83]
Generated Node #0,2: 65:[33, 5, 83] Operation: 88-5=83
Moving to Node #0,1
Current State: 65:[5, 5, 55], Operations: ['88-33=55']
Exploring Operation: 55/5=11, Resulting Numbers: [5, 11]
Generated Node #0,1,0: 65:[5, 11] Operation: 55/5=11
Exploring Operation: 5+55=60, Resulting Numbers: [5, 60]
Generated Node #0,1,1: 65:[5, 60] Operation: 5+55=60
Exploring Operation: 55/5=11, Resulting Numbers: [5, 11]
Generated Node #0,1,2: 65:[5, 11] Operation: 55/5=11
Moving to Node #0,0
Current State: 65:[88, 5, 28], Operations: ['33-5=28']
Exploring Operation: 28-5=23, Resulting Numbers: [88, 23]
Generated Node #0,0,0: 65:[88, 23] Operation: 28-5=23
Exploring Operation: 88-5=83, Resulting Numbers: [28, 83]
Generated Node #0,0,1: 65:[28, 83] Operation: 88-5=83
Exploring Operation: 88-28=60, Resulting Numbers: [5, 60]
Generated Node #0,0,2: 65:[5, 60] Operation: 88-28=60
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 65:[5, 60], Operations: ['33-5=28', '88-28=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[5, 33, 88, 5], Operations: []
Exploring Operation: 33-5=28, Resulting Numbers: [88, 5, 28]
Generated Node #0,0: 65:[88, 5, 28] Operation: 33-5=28
Moving to Node #0,0
Current State: 65:[88, 5, 28], Operations: ['33-5=28']
Exploring Operation: 88-28=60, Resulting Numbers: [5, 60]
Generated Node #0,0,2: 65:[5, 60] Operation: 88-28=60
Moving to Node #0,0,2
Current State: 65:[5, 60], Operations: ['33-5=28', '88-28=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
93,
3,
76,
38
] | 62 | [
"93/3=31",
"76/38=2",
"31*2=62"
] | Current State: 62:[93, 3, 76, 38], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [76, 38, 31]
Generated Node #2: [76, 38, 31] from Operation: 93/3=31
Current State: 62:[76, 38, 31], Operations: ['93/3=31']
Exploring Operation: 76/38=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 76/38=2
Current State: 62:[31, 2], Operations: ['93/3=31', '76/38=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[93, 3, 76, 38], Operations: []
Exploring Operation: 93-38=55, Resulting Numbers: [3, 76, 55]
Generated Node #0,0: 62:[3, 76, 55] Operation: 93-38=55
Exploring Operation: 93/3=31, Resulting Numbers: [76, 38, 31]
Generated Node #0,1: 62:[76, 38, 31] Operation: 93/3=31
Exploring Operation: 93-76=17, Resulting Numbers: [3, 38, 17]
Generated Node #0,2: 62:[3, 38, 17] Operation: 93-76=17
Moving to Node #0,1
Current State: 62:[76, 38, 31], Operations: ['93/3=31']
Exploring Operation: 76-38=38, Resulting Numbers: [31, 38]
Generated Node #0,1,0: 62:[31, 38] Operation: 76-38=38
Exploring Operation: 38-31=7, Resulting Numbers: [76, 7]
Generated Node #0,1,1: 62:[76, 7] Operation: 38-31=7
Exploring Operation: 76/38=2, Resulting Numbers: [31, 2]
Generated Node #0,1,2: 62:[31, 2] Operation: 76/38=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[31, 2], Operations: ['93/3=31', '76/38=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[93, 3, 76, 38], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [76, 38, 31]
Generated Node #0,1: 62:[76, 38, 31] Operation: 93/3=31
Moving to Node #0,1
Current State: 62:[76, 38, 31], Operations: ['93/3=31']
Exploring Operation: 76/38=2, Resulting Numbers: [31, 2]
Generated Node #0,1,2: 62:[31, 2] Operation: 76/38=2
Moving to Node #0,1,2
Current State: 62:[31, 2], Operations: ['93/3=31', '76/38=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
14,
97,
63,
7
] | 20 | [
"97-7=90",
"14*90=1260",
"1260/63=20"
] | Current State: 20:[14, 97, 63, 7], Operations: []
Exploring Operation: 97-7=90, Resulting Numbers: [14, 63, 90]
Generated Node #2: [14, 63, 90] from Operation: 97-7=90
Current State: 20:[14, 63, 90], Operations: ['97-7=90']
Exploring Operation: 14*90=1260, Resulting Numbers: [63, 1260]
Generated Node #3: [63, 1260] from Operation: 14*90=1260
Current State: 20:[63, 1260], Operations: ['97-7=90', '14*90=1260']
Exploring Operation: 1260/63=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[14, 97, 63, 7], Operations: []
Exploring Operation: 97-63=34, Resulting Numbers: [14, 7, 34]
Generated Node #0,0: 20:[14, 7, 34] Operation: 97-63=34
Moving to Node #0,0
Current State: 20:[14, 7, 34], Operations: ['97-63=34']
Exploring Operation: 34-14=20, Resulting Numbers: [7, 20]
Generated Node #0,0,0: 20:[7, 20] Operation: 34-14=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[7, 20], Operations: ['97-63=34', '34-14=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,20 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 |
[
51,
8,
16,
56
] | 40 | [
"56-51=5",
"16-8=8",
"5*8=40"
] | Current State: 40:[51, 8, 16, 56], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [8, 16, 5]
Generated Node #2: [8, 16, 5] from Operation: 56-51=5
Current State: 40:[8, 16, 5], Operations: ['56-51=5']
Exploring Operation: 16-8=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 16-8=8
Current State: 40:[5, 8], Operations: ['56-51=5', '16-8=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[51, 8, 16, 56], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [51, 16, 7]
Generated Node #0,0: 40:[51, 16, 7] Operation: 56/8=7
Exploring Operation: 51-16=35, Resulting Numbers: [8, 56, 35]
Generated Node #0,1: 40:[8, 56, 35] Operation: 51-16=35
Exploring Operation: 56-16=40, Resulting Numbers: [51, 8, 40]
Generated Node #0,2: 40:[51, 8, 40] Operation: 56-16=40
Exploring Operation: 56-51=5, Resulting Numbers: [8, 16, 5]
Generated Node #0,3: 40:[8, 16, 5] Operation: 56-51=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[8, 16, 5], Operations: ['56-51=5']
Exploring Operation: 16+5=21, Resulting Numbers: [8, 21]
Generated Node #0,3,0: 40:[8, 21] Operation: 16+5=21
Exploring Operation: 16-8=8, Resulting Numbers: [5, 8]
Generated Node #0,3,1: 40:[5, 8] Operation: 16-8=8
Exploring Operation: 16-5=11, Resulting Numbers: [8, 11]
Generated Node #0,3,2: 40:[8, 11] Operation: 16-5=11
Exploring Operation: 16/8=2, Resulting Numbers: [5, 2]
Generated Node #0,3,3: 40:[5, 2] Operation: 16/8=2
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 40:[5, 8], Operations: ['56-51=5', '16-8=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[51, 8, 16, 56], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [8, 16, 5]
Generated Node #0,3: 40:[8, 16, 5] Operation: 56-51=5
Moving to Node #0,3
Current State: 40:[8, 16, 5], Operations: ['56-51=5']
Exploring Operation: 16-8=8, Resulting Numbers: [5, 8]
Generated Node #0,3,1: 40:[5, 8] Operation: 16-8=8
Moving to Node #0,3,1
Current State: 40:[5, 8], Operations: ['56-51=5', '16-8=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
37,
88,
30,
78
] | 77 | [
"37+88=125",
"78-30=48",
"125-48=77"
] | Current State: 77:[37, 88, 30, 78], Operations: []
Exploring Operation: 37+88=125, Resulting Numbers: [30, 78, 125]
Generated Node #2: [30, 78, 125] from Operation: 37+88=125
Current State: 77:[30, 78, 125], Operations: ['37+88=125']
Exploring Operation: 78-30=48, Resulting Numbers: [125, 48]
Generated Node #3: [125, 48] from Operation: 78-30=48
Current State: 77:[125, 48], Operations: ['37+88=125', '78-30=48']
Exploring Operation: 125-48=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[37, 88, 30, 78], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [37, 78, 58]
Generated Node #0,0: 77:[37, 78, 58] Operation: 88-30=58
Exploring Operation: 88-37=51, Resulting Numbers: [30, 78, 51]
Generated Node #0,1: 77:[30, 78, 51] Operation: 88-37=51
Exploring Operation: 37-30=7, Resulting Numbers: [88, 78, 7]
Generated Node #0,2: 77:[88, 78, 7] Operation: 37-30=7
Exploring Operation: 88-78=10, Resulting Numbers: [37, 30, 10]
Generated Node #0,3: 77:[37, 30, 10] Operation: 88-78=10
Exploring Operation: 37+30=67, Resulting Numbers: [88, 78, 67]
Generated Node #0,4: 77:[88, 78, 67] Operation: 37+30=67
Moving to Node #0,2
Current State: 77:[88, 78, 7], Operations: ['37-30=7']
Exploring Operation: 88-78=10, Resulting Numbers: [7, 10]
Generated Node #0,2,0: 77:[7, 10] Operation: 88-78=10
Exploring Operation: 78-7=71, Resulting Numbers: [88, 71]
Generated Node #0,2,1: 77:[88, 71] Operation: 78-7=71
Exploring Operation: 88+7=95, Resulting Numbers: [78, 95]
Generated Node #0,2,2: 77:[78, 95] Operation: 88+7=95
Exploring Operation: 88-7=81, Resulting Numbers: [78, 81]
Generated Node #0,2,3: 77:[78, 81] Operation: 88-7=81
Exploring Operation: 78+7=85, Resulting Numbers: [88, 85]
Generated Node #0,2,4: 77:[88, 85] Operation: 78+7=85
Moving to Node #0,4
Current State: 77:[88, 78, 67], Operations: ['37+30=67']
Exploring Operation: 78-67=11, Resulting Numbers: [88, 11]
Generated Node #0,4,0: 77:[88, 11] Operation: 78-67=11
Exploring Operation: 88+67=155, Resulting Numbers: [78, 155]
Generated Node #0,4,1: 77:[78, 155] Operation: 88+67=155
Exploring Operation: 78+67=145, Resulting Numbers: [88, 145]
Generated Node #0,4,2: 77:[88, 145] Operation: 78+67=145
Exploring Operation: 88-78=10, Resulting Numbers: [67, 10]
Generated Node #0,4,3: 77:[67, 10] Operation: 88-78=10
Exploring Operation: 88-67=21, Resulting Numbers: [78, 21]
Generated Node #0,4,4: 77:[78, 21] Operation: 88-67=21
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 77:[88, 11], Operations: ['37+30=67', '78-67=11']
Exploring Operation: 88*11=968, Resulting Numbers: [968]
968,77 unequal: No Solution
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[37, 88, 30, 78], Operations: []
Exploring Operation: 37+30=67, Resulting Numbers: [88, 78, 67]
Generated Node #0,4: 77:[88, 78, 67] Operation: 37+30=67
Moving to Node #0,4
Current State: 77:[88, 78, 67], Operations: ['37+30=67']
Exploring Operation: 78-67=11, Resulting Numbers: [88, 11]
Generated Node #0,4,0: 77:[88, 11] Operation: 78-67=11
Moving to Node #0,4,0
Current State: 77:[88, 11], Operations: ['37+30=67', '78-67=11']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
28,
23,
95,
25
] | 81 | [
"25-23=2",
"28/2=14",
"95-14=81"
] | Current State: 81:[28, 23, 95, 25], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [28, 95, 2]
Generated Node #2: [28, 95, 2] from Operation: 25-23=2
Current State: 81:[28, 95, 2], Operations: ['25-23=2']
Exploring Operation: 28/2=14, Resulting Numbers: [95, 14]
Generated Node #3: [95, 14] from Operation: 28/2=14
Current State: 81:[95, 14], Operations: ['25-23=2', '28/2=14']
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[28, 23, 95, 25], Operations: []
Exploring Operation: 95-23=72, Resulting Numbers: [28, 25, 72]
Generated Node #0,0: 81:[28, 25, 72] Operation: 95-23=72
Exploring Operation: 25-23=2, Resulting Numbers: [28, 95, 2]
Generated Node #0,1: 81:[28, 95, 2] Operation: 25-23=2
Exploring Operation: 28-23=5, Resulting Numbers: [95, 25, 5]
Generated Node #0,2: 81:[95, 25, 5] Operation: 28-23=5
Exploring Operation: 95-25=70, Resulting Numbers: [28, 23, 70]
Generated Node #0,3: 81:[28, 23, 70] Operation: 95-25=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[28, 25, 72], Operations: ['95-23=72']
Exploring Operation: 28-25=3, Resulting Numbers: [72, 3]
Generated Node #0,0,0: 81:[72, 3] Operation: 28-25=3
Exploring Operation: 25+72=97, Resulting Numbers: [28, 97]
Generated Node #0,0,1: 81:[28, 97] Operation: 25+72=97
Exploring Operation: 28+72=100, Resulting Numbers: [25, 100]
Generated Node #0,0,2: 81:[25, 100] Operation: 28+72=100
Exploring Operation: 72-28=44, Resulting Numbers: [25, 44]
Generated Node #0,0,3: 81:[25, 44] Operation: 72-28=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[72, 3], Operations: ['95-23=72', '28-25=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 72*3=216, Resulting Numbers: [216]
216,81 unequal: No Solution
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,81 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:[28, 97], Operations: ['95-23=72', '25+72=97']
Exploring Operation: 28+97=125, Resulting Numbers: [125]
125,81 unequal: No Solution
Exploring Operation: 28*97=2716, Resulting Numbers: [2716]
2716,81 unequal: No Solution
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,81 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:[25, 44], Operations: ['95-23=72', '72-28=44']
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,81 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,81 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:[25, 100], Operations: ['95-23=72', '28+72=100']
Exploring Operation: 25+100=125, Resulting Numbers: [125]
125,81 unequal: No Solution
Exploring Operation: 25*100=2500, Resulting Numbers: [2500]
2500,81 unequal: No Solution
Exploring Operation: 100-25=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 100/25=4, Resulting Numbers: [4]
4,81 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:[28, 95, 2], Operations: ['25-23=2']
Exploring Operation: 95-2=93, Resulting Numbers: [28, 93]
Generated Node #0,1,0: 81:[28, 93] Operation: 95-2=93
Exploring Operation: 95-28=67, Resulting Numbers: [2, 67]
Generated Node #0,1,1: 81:[2, 67] Operation: 95-28=67
Exploring Operation: 28-2=26, Resulting Numbers: [95, 26]
Generated Node #0,1,2: 81:[95, 26] Operation: 28-2=26
Exploring Operation: 28+2=30, Resulting Numbers: [95, 30]
Generated Node #0,1,3: 81:[95, 30] Operation: 28+2=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[28, 93], Operations: ['25-23=2', '95-2=93']
Exploring Operation: 28*93=2604, Resulting Numbers: [2604]
2604,81 unequal: No Solution
Exploring Operation: 28+93=121, Resulting Numbers: [121]
121,81 unequal: No Solution
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,81 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 #0,1,1
Current State: 81:[2, 67], Operations: ['25-23=2', '95-28=67']
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,81 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,81 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 #0,1,2
Current State: 81:[95, 26], Operations: ['25-23=2', '28-2=26']
Exploring Operation: 95-26=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 95+26=121, Resulting Numbers: [121]
121,81 unequal: No Solution
Exploring Operation: 95*26=2470, Resulting Numbers: [2470]
2470,81 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 #0,1,3
Current State: 81:[95, 30], Operations: ['25-23=2', '28+2=30']
Exploring Operation: 95+30=125, Resulting Numbers: [125]
125,81 unequal: No Solution
Exploring Operation: 95*30=2850, Resulting Numbers: [2850]
2850,81 unequal: No Solution
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,81 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 #0,3
Current State: 81:[28, 23, 70], Operations: ['95-25=70']
Exploring Operation: 23+70=93, Resulting Numbers: [28, 93]
Generated Node #0,3,0: 81:[28, 93] Operation: 23+70=93
Exploring Operation: 28+70=98, Resulting Numbers: [23, 98]
Generated Node #0,3,1: 81:[23, 98] Operation: 28+70=98
Exploring Operation: 70-28=42, Resulting Numbers: [23, 42]
Generated Node #0,3,2: 81:[23, 42] Operation: 70-28=42
Exploring Operation: 28-23=5, Resulting Numbers: [70, 5]
Generated Node #0,3,3: 81:[70, 5] Operation: 28-23=5
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 81:[28, 93], Operations: ['95-25=70', '23+70=93']
Exploring Operation: 28*93=2604, Resulting Numbers: [2604]
2604,81 unequal: No Solution
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 28+93=121, Resulting Numbers: [121]
121,81 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 #0,3,3
Current State: 81:[70, 5], Operations: ['95-25=70', '28-23=5']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 70*5=350, Resulting Numbers: [350]
350,81 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 #0,3,2
Current State: 81:[23, 42], Operations: ['95-25=70', '70-28=42']
Exploring Operation: 23*42=966, Resulting Numbers: [966]
966,81 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,81 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 #0,3,1
Current State: 81:[23, 98], Operations: ['95-25=70', '28+70=98']
Exploring Operation: 98-23=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 23*98=2254, Resulting Numbers: [2254]
2254,81 unequal: No Solution
Exploring Operation: 23+98=121, Resulting Numbers: [121]
121,81 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 #0,2
Current State: 81:[95, 25, 5], Operations: ['28-23=5']
Exploring Operation: 95-25=70, Resulting Numbers: [5, 70]
Generated Node #0,2,0: 81:[5, 70] Operation: 95-25=70
Exploring Operation: 95/5=19, Resulting Numbers: [25, 19]
Generated Node #0,2,1: 81:[25, 19] Operation: 95/5=19
Exploring Operation: 25/5=5, Resulting Numbers: [95, 5]
Generated Node #0,2,2: 81:[95, 5] Operation: 25/5=5
Exploring Operation: 95-5=90, Resulting Numbers: [25, 90]
Generated Node #0,2,3: 81:[25, 90] Operation: 95-5=90
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 81:[25, 19], Operations: ['28-23=5', '95/5=19']
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 25*19=475, Resulting Numbers: [475]
475,81 unequal: No Solution
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,81 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 #0,2,3
Current State: 81:[25, 90], Operations: ['28-23=5', '95-5=90']
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 25*90=2250, Resulting Numbers: [2250]
2250,81 unequal: No Solution
Exploring Operation: 25+90=115, Resulting Numbers: [115]
115,81 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 #0,2,0
Current State: 81:[5, 70], Operations: ['28-23=5', '95-25=70']
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,81 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,81 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 #0,2,2
Current State: 81:[95, 5], Operations: ['28-23=5', '25/5=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,81 unequal: No Solution
Exploring Operation: 95*5=475, Resulting Numbers: [475]
475,81 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
69,
15,
66,
91
] | 100 | [
"69+66=135",
"135/15=9",
"91+9=100"
] | Current State: 100:[69, 15, 66, 91], Operations: []
Exploring Operation: 69+66=135, Resulting Numbers: [15, 91, 135]
Generated Node #2: [15, 91, 135] from Operation: 69+66=135
Current State: 100:[15, 91, 135], Operations: ['69+66=135']
Exploring Operation: 135/15=9, Resulting Numbers: [91, 9]
Generated Node #3: [91, 9] from Operation: 135/15=9
Current State: 100:[91, 9], Operations: ['69+66=135', '135/15=9']
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[69, 15, 66, 91], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [15, 91, 3]
Generated Node #0,0: 100:[15, 91, 3] Operation: 69-66=3
Moving to Node #0,0
Current State: 100:[15, 91, 3], Operations: ['69-66=3']
Exploring Operation: 15+91=106, Resulting Numbers: [3, 106]
Generated Node #0,0,0: 100:[3, 106] Operation: 15+91=106
Moving to Node #0,0,0
Current State: 100:[3, 106], Operations: ['69-66=3', '15+91=106']
Exploring Operation: 106-3=103, Resulting Numbers: [103]
103,100 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
16,
11,
69
] | 46 | [
"16-4=12",
"69-11=58",
"58-12=46"
] | Current State: 46:[4, 16, 11, 69], Operations: []
Exploring Operation: 16-4=12, Resulting Numbers: [11, 69, 12]
Generated Node #2: [11, 69, 12] from Operation: 16-4=12
Current State: 46:[11, 69, 12], Operations: ['16-4=12']
Exploring Operation: 69-11=58, Resulting Numbers: [12, 58]
Generated Node #3: [12, 58] from Operation: 69-11=58
Current State: 46:[12, 58], Operations: ['16-4=12', '69-11=58']
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[4, 16, 11, 69], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [4, 16, 58]
Generated Node #0,0: 46:[4, 16, 58] Operation: 69-11=58
Exploring Operation: 16+11=27, Resulting Numbers: [4, 69, 27]
Generated Node #0,1: 46:[4, 69, 27] Operation: 16+11=27
Exploring Operation: 16-11=5, Resulting Numbers: [4, 69, 5]
Generated Node #0,2: 46:[4, 69, 5] Operation: 16-11=5
Exploring Operation: 69-16=53, Resulting Numbers: [4, 11, 53]
Generated Node #0,3: 46:[4, 11, 53] Operation: 69-16=53
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[4, 11, 53], Operations: ['69-16=53']
Exploring Operation: 53-4=49, Resulting Numbers: [11, 49]
Generated Node #0,3,0: 46:[11, 49] Operation: 53-4=49
Exploring Operation: 53-11=42, Resulting Numbers: [4, 42]
Generated Node #0,3,1: 46:[4, 42] Operation: 53-11=42
Exploring Operation: 4*11=44, Resulting Numbers: [53, 44]
Generated Node #0,3,2: 46:[53, 44] Operation: 4*11=44
Exploring Operation: 11-4=7, Resulting Numbers: [53, 7]
Generated Node #0,3,3: 46:[53, 7] Operation: 11-4=7
Moving to Node #0,3,1
Current State: 46:[4, 42], Operations: ['69-16=53', '53-11=42']
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[4, 16, 11, 69], Operations: []
Exploring Operation: 69-16=53, Resulting Numbers: [4, 11, 53]
Generated Node #0,3: 46:[4, 11, 53] Operation: 69-16=53
Moving to Node #0,3
Current State: 46:[4, 11, 53], Operations: ['69-16=53']
Exploring Operation: 53-11=42, Resulting Numbers: [4, 42]
Generated Node #0,3,1: 46:[4, 42] Operation: 53-11=42
Moving to Node #0,3,1
Current State: 46:[4, 42], Operations: ['69-16=53', '53-11=42']
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
32,
29,
43,
9
] | 27 | [
"32+29=61",
"43-9=34",
"61-34=27"
] | Current State: 27:[32, 29, 43, 9], Operations: []
Exploring Operation: 32+29=61, Resulting Numbers: [43, 9, 61]
Generated Node #2: [43, 9, 61] from Operation: 32+29=61
Current State: 27:[43, 9, 61], Operations: ['32+29=61']
Exploring Operation: 43-9=34, Resulting Numbers: [61, 34]
Generated Node #3: [61, 34] from Operation: 43-9=34
Current State: 27:[61, 34], Operations: ['32+29=61', '43-9=34']
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[32, 29, 43, 9], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [32, 9, 14]
Generated Node #0,0: 27:[32, 9, 14] Operation: 43-29=14
Exploring Operation: 43-32=11, Resulting Numbers: [29, 9, 11]
Generated Node #0,1: 27:[29, 9, 11] Operation: 43-32=11
Exploring Operation: 43-9=34, Resulting Numbers: [32, 29, 34]
Generated Node #0,2: 27:[32, 29, 34] Operation: 43-9=34
Exploring Operation: 32-29=3, Resulting Numbers: [43, 9, 3]
Generated Node #0,3: 27:[43, 9, 3] Operation: 32-29=3
Exploring Operation: 32-9=23, Resulting Numbers: [29, 43, 23]
Generated Node #0,4: 27:[29, 43, 23] Operation: 32-9=23
Moving to Node #0,1
Current State: 27:[29, 9, 11], Operations: ['43-32=11']
Exploring Operation: 29-11=18, Resulting Numbers: [9, 18]
Generated Node #0,1,0: 27:[9, 18] Operation: 29-11=18
Exploring Operation: 29-9=20, Resulting Numbers: [11, 20]
Generated Node #0,1,1: 27:[11, 20] Operation: 29-9=20
Exploring Operation: 29+9=38, Resulting Numbers: [11, 38]
Generated Node #0,1,2: 27:[11, 38] Operation: 29+9=38
Exploring Operation: 9+11=20, Resulting Numbers: [29, 20]
Generated Node #0,1,3: 27:[29, 20] Operation: 9+11=20
Exploring Operation: 11-9=2, Resulting Numbers: [29, 2]
Generated Node #0,1,4: 27:[29, 2] Operation: 11-9=2
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 27:[29, 2], Operations: ['43-32=11', '11-9=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[32, 29, 43, 9], Operations: []
Exploring Operation: 43-32=11, Resulting Numbers: [29, 9, 11]
Generated Node #0,1: 27:[29, 9, 11] Operation: 43-32=11
Moving to Node #0,1
Current State: 27:[29, 9, 11], Operations: ['43-32=11']
Exploring Operation: 11-9=2, Resulting Numbers: [29, 2]
Generated Node #0,1,4: 27:[29, 2] Operation: 11-9=2
Moving to Node #0,1,4
Current State: 27:[29, 2], Operations: ['43-32=11', '11-9=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
91,
55,
31,
64
] | 51 | [
"91+55=146",
"31+64=95",
"146-95=51"
] | Current State: 51:[91, 55, 31, 64], Operations: []
Exploring Operation: 91+55=146, Resulting Numbers: [31, 64, 146]
Generated Node #2: [31, 64, 146] from Operation: 91+55=146
Current State: 51:[31, 64, 146], Operations: ['91+55=146']
Exploring Operation: 31+64=95, Resulting Numbers: [146, 95]
Generated Node #3: [146, 95] from Operation: 31+64=95
Current State: 51:[146, 95], Operations: ['91+55=146', '31+64=95']
Exploring Operation: 146-95=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[91, 55, 31, 64], Operations: []
Exploring Operation: 91-64=27, Resulting Numbers: [55, 31, 27]
Generated Node #0,0: 51:[55, 31, 27] Operation: 91-64=27
Exploring Operation: 91-55=36, Resulting Numbers: [31, 64, 36]
Generated Node #0,1: 51:[31, 64, 36] Operation: 91-55=36
Exploring Operation: 91-31=60, Resulting Numbers: [55, 64, 60]
Generated Node #0,2: 51:[55, 64, 60] Operation: 91-31=60
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[55, 64, 60], Operations: ['91-31=60']
Exploring Operation: 64-55=9, Resulting Numbers: [60, 9]
Generated Node #0,2,0: 51:[60, 9] Operation: 64-55=9
Exploring Operation: 60-55=5, Resulting Numbers: [64, 5]
Generated Node #0,2,1: 51:[64, 5] Operation: 60-55=5
Exploring Operation: 64-60=4, Resulting Numbers: [55, 4]
Generated Node #0,2,2: 51:[55, 4] Operation: 64-60=4
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[55, 4], Operations: ['91-31=60', '64-60=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[91, 55, 31, 64], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [55, 64, 60]
Generated Node #0,2: 51:[55, 64, 60] Operation: 91-31=60
Moving to Node #0,2
Current State: 51:[55, 64, 60], Operations: ['91-31=60']
Exploring Operation: 64-60=4, Resulting Numbers: [55, 4]
Generated Node #0,2,2: 51:[55, 4] Operation: 64-60=4
Moving to Node #0,2,2
Current State: 51:[55, 4], Operations: ['91-31=60', '64-60=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
34,
4,
18,
31
] | 87 | [
"34+4=38",
"18+31=49",
"38+49=87"
] | Current State: 87:[34, 4, 18, 31], Operations: []
Exploring Operation: 34+4=38, Resulting Numbers: [18, 31, 38]
Generated Node #2: [18, 31, 38] from Operation: 34+4=38
Current State: 87:[18, 31, 38], Operations: ['34+4=38']
Exploring Operation: 18+31=49, Resulting Numbers: [38, 49]
Generated Node #3: [38, 49] from Operation: 18+31=49
Current State: 87:[38, 49], Operations: ['34+4=38', '18+31=49']
Exploring Operation: 38+49=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[34, 4, 18, 31], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [4, 18, 3]
Generated Node #0,0: 87:[4, 18, 3] Operation: 34-31=3
Exploring Operation: 34-4=30, Resulting Numbers: [18, 31, 30]
Generated Node #0,1: 87:[18, 31, 30] Operation: 34-4=30
Exploring Operation: 34-18=16, Resulting Numbers: [4, 31, 16]
Generated Node #0,2: 87:[4, 31, 16] Operation: 34-18=16
Exploring Operation: 31-18=13, Resulting Numbers: [34, 4, 13]
Generated Node #0,3: 87:[34, 4, 13] Operation: 31-18=13
Exploring Operation: 4+18=22, Resulting Numbers: [34, 31, 22]
Generated Node #0,4: 87:[34, 31, 22] Operation: 4+18=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[4, 18, 3], Operations: ['34-31=3']
Exploring Operation: 4-3=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 87:[18, 1] Operation: 4-3=1
Exploring Operation: 18+3=21, Resulting Numbers: [4, 21]
Generated Node #0,0,1: 87:[4, 21] Operation: 18+3=21
Exploring Operation: 4+18=22, Resulting Numbers: [3, 22]
Generated Node #0,0,2: 87:[3, 22] Operation: 4+18=22
Exploring Operation: 18/3=6, Resulting Numbers: [4, 6]
Generated Node #0,0,3: 87:[4, 6] Operation: 18/3=6
Exploring Operation: 18-4=14, Resulting Numbers: [3, 14]
Generated Node #0,0,4: 87:[3, 14] Operation: 18-4=14
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 87:[4, 6], Operations: ['34-31=3', '18/3=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[3, 22], Operations: ['34-31=3', '4+18=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[4, 21], Operations: ['34-31=3', '18+3=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 87:[3, 14], Operations: ['34-31=3', '18-4=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[18, 1], Operations: ['34-31=3', '4-3=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[18, 31, 30], Operations: ['34-4=30']
Exploring Operation: 18+31=49, Resulting Numbers: [30, 49]
Generated Node #0,1,0: 87:[30, 49] Operation: 18+31=49
Exploring Operation: 31-18=13, Resulting Numbers: [30, 13]
Generated Node #0,1,1: 87:[30, 13] Operation: 31-18=13
Exploring Operation: 18+30=48, Resulting Numbers: [31, 48]
Generated Node #0,1,2: 87:[31, 48] Operation: 18+30=48
Exploring Operation: 31-30=1, Resulting Numbers: [18, 1]
Generated Node #0,1,3: 87:[18, 1] Operation: 31-30=1
Exploring Operation: 30-18=12, Resulting Numbers: [31, 12]
Generated Node #0,1,4: 87:[31, 12] Operation: 30-18=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[30, 13], Operations: ['34-4=30', '31-18=13']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,87 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 87:[31, 12], Operations: ['34-4=30', '30-18=12']
Exploring Operation: 31*12=372, Resulting Numbers: [372]
372,87 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 87:[18, 1], Operations: ['34-4=30', '31-30=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[30, 49], Operations: ['34-4=30', '18+31=49']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 30*49=1470, Resulting Numbers: [1470]
1470,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[31, 48], Operations: ['34-4=30', '18+30=48']
Exploring Operation: 31*48=1488, Resulting Numbers: [1488]
1488,87 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 87:[34, 31, 22], Operations: ['4+18=22']
Exploring Operation: 34+22=56, Resulting Numbers: [31, 56]
Generated Node #0,4,0: 87:[31, 56] Operation: 34+22=56
Exploring Operation: 34-31=3, Resulting Numbers: [22, 3]
Generated Node #0,4,1: 87:[22, 3] Operation: 34-31=3
Exploring Operation: 34+31=65, Resulting Numbers: [22, 65]
Generated Node #0,4,2: 87:[22, 65] Operation: 34+31=65
Exploring Operation: 31-22=9, Resulting Numbers: [34, 9]
Generated Node #0,4,3: 87:[34, 9] Operation: 31-22=9
Exploring Operation: 34-22=12, Resulting Numbers: [31, 12]
Generated Node #0,4,4: 87:[31, 12] Operation: 34-22=12
Moving to Node #0,4,1
Current State: 87:[22, 3], Operations: ['4+18=22', '34-31=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Moving to Node #0,4,4
Current State: 87:[31, 12], Operations: ['4+18=22', '34-22=12']
Exploring Operation: 31*12=372, Resulting Numbers: [372]
372,87 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Moving to Node #0,4,3
Current State: 87:[34, 9], Operations: ['4+18=22', '31-22=9']
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,87 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Moving to Node #0,4,0
Current State: 87:[31, 56], Operations: ['4+18=22', '34+22=56']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 31*56=1736, Resulting Numbers: [1736]
1736,87 unequal: No Solution
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[34, 4, 18, 31], Operations: []
Exploring Operation: 4+18=22, Resulting Numbers: [34, 31, 22]
Generated Node #0,4: 87:[34, 31, 22] Operation: 4+18=22
Moving to Node #0,4
Current State: 87:[34, 31, 22], Operations: ['4+18=22']
Exploring Operation: 34+22=56, Resulting Numbers: [31, 56]
Generated Node #0,4,0: 87:[31, 56] Operation: 34+22=56
Moving to Node #0,4,0
Current State: 87:[31, 56], Operations: ['4+18=22', '34+22=56']
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.940972 | hs_5 | sum_heuristic |
[
43,
80,
56,
84
] | 29 | [
"84-80=4",
"56/4=14",
"43-14=29"
] | Current State: 29:[43, 80, 56, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [43, 56, 4]
Generated Node #2: [43, 56, 4] from Operation: 84-80=4
Current State: 29:[43, 56, 4], Operations: ['84-80=4']
Exploring Operation: 56/4=14, Resulting Numbers: [43, 14]
Generated Node #3: [43, 14] from Operation: 56/4=14
Current State: 29:[43, 14], Operations: ['84-80=4', '56/4=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[43, 80, 56, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [43, 56, 4]
Generated Node #0,0: 29:[43, 56, 4] Operation: 84-80=4
Exploring Operation: 80-43=37, Resulting Numbers: [56, 84, 37]
Generated Node #0,1: 29:[56, 84, 37] Operation: 80-43=37
Exploring Operation: 84-56=28, Resulting Numbers: [43, 80, 28]
Generated Node #0,2: 29:[43, 80, 28] Operation: 84-56=28
Exploring Operation: 80-56=24, Resulting Numbers: [43, 84, 24]
Generated Node #0,3: 29:[43, 84, 24] Operation: 80-56=24
Moving to Node #0,0
Current State: 29:[43, 56, 4], Operations: ['84-80=4']
Exploring Operation: 56-43=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 29:[4, 13] Operation: 56-43=13
Exploring Operation: 43-4=39, Resulting Numbers: [56, 39]
Generated Node #0,0,1: 29:[56, 39] Operation: 43-4=39
Exploring Operation: 56/4=14, Resulting Numbers: [43, 14]
Generated Node #0,0,2: 29:[43, 14] Operation: 56/4=14
Exploring Operation: 56-4=52, Resulting Numbers: [43, 52]
Generated Node #0,0,3: 29:[43, 52] Operation: 56-4=52
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[43, 14], Operations: ['84-80=4', '56/4=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,29 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[43, 80, 56, 84], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [43, 56, 4]
Generated Node #0,0: 29:[43, 56, 4] Operation: 84-80=4
Moving to Node #0,0
Current State: 29:[43, 56, 4], Operations: ['84-80=4']
Exploring Operation: 56/4=14, Resulting Numbers: [43, 14]
Generated Node #0,0,2: 29:[43, 14] Operation: 56/4=14
Moving to Node #0,0,2
Current State: 29:[43, 14], Operations: ['84-80=4', '56/4=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
10,
93,
13,
69
] | 31 | [
"10+13=23",
"93*23=2139",
"2139/69=31"
] | Current State: 31:[10, 93, 13, 69], Operations: []
Exploring Operation: 10+13=23, Resulting Numbers: [93, 69, 23]
Generated Node #2: [93, 69, 23] from Operation: 10+13=23
Current State: 31:[93, 69, 23], Operations: ['10+13=23']
Exploring Operation: 93*23=2139, Resulting Numbers: [69, 2139]
Generated Node #3: [69, 2139] from Operation: 93*23=2139
Current State: 31:[69, 2139], Operations: ['10+13=23', '93*23=2139']
Exploring Operation: 2139/69=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[10, 93, 13, 69], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [10, 13, 24]
Generated Node #0,0: 31:[10, 13, 24] Operation: 93-69=24
Moving to Node #0,0
Current State: 31:[10, 13, 24], Operations: ['93-69=24']
Exploring Operation: 10+13=23, Resulting Numbers: [24, 23]
Generated Node #0,0,0: 31:[24, 23] Operation: 10+13=23
Moving to Node #0,0,0
Current State: 31:[24, 23], Operations: ['93-69=24', '10+13=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,31 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
44,
62,
44
] | 70 | [
"8+44=52",
"62-44=18",
"52+18=70"
] | Current State: 70:[8, 44, 62, 44], Operations: []
Exploring Operation: 8+44=52, Resulting Numbers: [62, 52]
Generated Node #2: [62, 52] from Operation: 8+44=52
Current State: 70:[62, 52], Operations: ['8+44=52']
Exploring Operation: 62-44=18, Resulting Numbers: [52, 18]
Generated Node #3: [52, 18] from Operation: 62-44=18
Current State: 70:[52, 18], Operations: ['8+44=52', '62-44=18']
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[8, 44, 62, 44], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [8, 62, 1]
Generated Node #0,0: 70:[8, 62, 1] Operation: 44/44=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[8, 62, 1], Operations: ['44/44=1']
Exploring Operation: 8+62=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 70:[1, 70] Operation: 8+62=70
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[1, 70], Operations: ['44/44=1', '8+62=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[8, 44, 62, 44], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [8, 62, 1]
Generated Node #0,0: 70:[8, 62, 1] Operation: 44/44=1
Moving to Node #0,0
Current State: 70:[8, 62, 1], Operations: ['44/44=1']
Exploring Operation: 8+62=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 70:[1, 70] Operation: 8+62=70
Moving to Node #0,0,0
Current State: 70:[1, 70], Operations: ['44/44=1', '8+62=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
2,
17,
35,
20
] | 92 | [
"2*20=40",
"17+35=52",
"40+52=92"
] | Current State: 92:[2, 17, 35, 20], Operations: []
Exploring Operation: 2*20=40, Resulting Numbers: [17, 35, 40]
Generated Node #2: [17, 35, 40] from Operation: 2*20=40
Current State: 92:[17, 35, 40], Operations: ['2*20=40']
Exploring Operation: 17+35=52, Resulting Numbers: [40, 52]
Generated Node #3: [40, 52] from Operation: 17+35=52
Current State: 92:[40, 52], Operations: ['2*20=40', '17+35=52']
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[2, 17, 35, 20], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [2, 35, 3]
Generated Node #0,0: 92:[2, 35, 3] Operation: 20-17=3
Exploring Operation: 35+20=55, Resulting Numbers: [2, 17, 55]
Generated Node #0,1: 92:[2, 17, 55] Operation: 35+20=55
Exploring Operation: 17+35=52, Resulting Numbers: [2, 20, 52]
Generated Node #0,2: 92:[2, 20, 52] Operation: 17+35=52
Exploring Operation: 35-17=18, Resulting Numbers: [2, 20, 18]
Generated Node #0,3: 92:[2, 20, 18] Operation: 35-17=18
Exploring Operation: 35-20=15, Resulting Numbers: [2, 17, 15]
Generated Node #0,4: 92:[2, 17, 15] Operation: 35-20=15
Moving to Node #0,3
Current State: 92:[2, 20, 18], Operations: ['35-17=18']
Exploring Operation: 18/2=9, Resulting Numbers: [20, 9]
Generated Node #0,3,0: 92:[20, 9] Operation: 18/2=9
Exploring Operation: 20-18=2, Resulting Numbers: [2, 2]
Generated Node #0,3,1: 92:[2, 2] Operation: 20-18=2
Exploring Operation: 2+20=22, Resulting Numbers: [18, 22]
Generated Node #0,3,2: 92:[18, 22] Operation: 2+20=22
Exploring Operation: 2+18=20, Resulting Numbers: [20, 20]
Generated Node #0,3,3: 92:[20, 20] Operation: 2+18=20
Exploring Operation: 20+18=38, Resulting Numbers: [2, 38]
Generated Node #0,3,4: 92:[2, 38] Operation: 20+18=38
Moving to Node #0,2
Current State: 92:[2, 20, 52], Operations: ['17+35=52']
Exploring Operation: 20-2=18, Resulting Numbers: [52, 18]
Generated Node #0,2,0: 92:[52, 18] Operation: 20-2=18
Exploring Operation: 52-2=50, Resulting Numbers: [20, 50]
Generated Node #0,2,1: 92:[20, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [20, 26]
Generated Node #0,2,2: 92:[20, 26] Operation: 52/2=26
Exploring Operation: 52-20=32, Resulting Numbers: [2, 32]
Generated Node #0,2,3: 92:[2, 32] Operation: 52-20=32
Exploring Operation: 2+20=22, Resulting Numbers: [52, 22]
Generated Node #0,2,4: 92:[52, 22] Operation: 2+20=22
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[20, 26], Operations: ['17+35=52', '52/2=26']
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,92 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,92 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 #0,2,1
Current State: 92:[20, 50], Operations: ['17+35=52', '52-2=50']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,92 unequal: No Solution
Exploring Operation: 20+50=70, Resulting Numbers: [70]
70,92 unequal: No Solution
Exploring Operation: 20*50=1000, Resulting Numbers: [1000]
1000,92 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 #0,2,4
Current State: 92:[52, 22], Operations: ['17+35=52', '2+20=22']
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,92 unequal: No Solution
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,92 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 #0,2,3
Current State: 92:[2, 32], Operations: ['17+35=52', '52-20=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,92 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,92 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 #0,2,0
Current State: 92:[52, 18], Operations: ['17+35=52', '20-2=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,92 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,92 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:[2, 35, 3], Operations: ['20-17=3']
Exploring Operation: 35-3=32, Resulting Numbers: [2, 32]
Generated Node #0,0,0: 92:[2, 32] Operation: 35-3=32
Exploring Operation: 35-2=33, Resulting Numbers: [3, 33]
Generated Node #0,0,1: 92:[3, 33] Operation: 35-2=33
Exploring Operation: 2+35=37, Resulting Numbers: [3, 37]
Generated Node #0,0,2: 92:[3, 37] Operation: 2+35=37
Exploring Operation: 35+3=38, Resulting Numbers: [2, 38]
Generated Node #0,0,3: 92:[2, 38] Operation: 35+3=38
Exploring Operation: 2+3=5, Resulting Numbers: [35, 5]
Generated Node #0,0,4: 92:[35, 5] Operation: 2+3=5
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 92:[2, 38], Operations: ['20-17=3', '35+3=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[2, 32], Operations: ['20-17=3', '35-3=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,92 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 92:[3, 37], Operations: ['20-17=3', '2+35=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[3, 33], Operations: ['20-17=3', '35-2=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,92 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 92:[35, 5], Operations: ['20-17=3', '2+3=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,92 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,92 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 92:[2, 17, 15], Operations: ['35-20=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2, 2]
Generated Node #0,4,0: 92:[2, 2] Operation: 17-15=2
Exploring Operation: 2*15=30, Resulting Numbers: [17, 30]
Generated Node #0,4,1: 92:[17, 30] Operation: 2*15=30
Exploring Operation: 2+15=17, Resulting Numbers: [17, 17]
Generated Node #0,4,2: 92:[17, 17] Operation: 2+15=17
Exploring Operation: 2+17=19, Resulting Numbers: [15, 19]
Generated Node #0,4,3: 92:[15, 19] Operation: 2+17=19
Exploring Operation: 17+15=32, Resulting Numbers: [2, 32]
Generated Node #0,4,4: 92:[2, 32] Operation: 17+15=32
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 92:[2, 2], Operations: ['35-20=15', '17-15=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,92 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 #0,4,4
Current State: 92:[2, 32], Operations: ['35-20=15', '17+15=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,92 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,92 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 #0,4,2
Current State: 92:[17, 17], Operations: ['35-20=15', '2+15=17']
Exploring Operation: 17/17=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 17*17=289, Resulting Numbers: [289]
289,92 unequal: No Solution
Exploring Operation: 17-17=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,92 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 #0,4,3
Current State: 92:[15, 19], Operations: ['35-20=15', '2+17=19']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,92 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 #0,4,1
Current State: 92:[17, 30], Operations: ['35-20=15', '2*15=30']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,92 unequal: No Solution
Exploring Operation: 17*30=510, Resulting Numbers: [510]
510,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 92:[2, 17, 55], Operations: ['35+20=55']
Exploring Operation: 55-2=53, Resulting Numbers: [17, 53]
Generated Node #0,1,0: 92:[17, 53] Operation: 55-2=53
Exploring Operation: 17-2=15, Resulting Numbers: [55, 15]
Generated Node #0,1,1: 92:[55, 15] Operation: 17-2=15
Exploring Operation: 2+17=19, Resulting Numbers: [55, 19]
Generated Node #0,1,2: 92:[55, 19] Operation: 2+17=19
Exploring Operation: 55-17=38, Resulting Numbers: [2, 38]
Generated Node #0,1,3: 92:[2, 38] Operation: 55-17=38
Exploring Operation: 2+55=57, Resulting Numbers: [17, 57]
Generated Node #0,1,4: 92:[17, 57] Operation: 2+55=57
Moving to Node #0,3,1
Current State: 92:[2, 2], Operations: ['35-17=18', '20-18=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[20, 20], Operations: ['35-17=18', '2+18=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,92 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[18, 22], Operations: ['35-17=18', '2+20=22']
Exploring Operation: 18*22=396, Resulting Numbers: [396]
396,92 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[2, 38], Operations: ['35+20=55', '55-17=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[2, 38], Operations: ['35-17=18', '20+18=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[20, 9], Operations: ['35-17=18', '18/2=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,92 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[17, 53], Operations: ['35+20=55', '55-2=53']
Exploring Operation: 17*53=901, Resulting Numbers: [901]
901,92 unequal: No Solution
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[55, 19], Operations: ['35+20=55', '2+17=19']
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 55*19=1045, Resulting Numbers: [1045]
1045,92 unequal: No Solution
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[17, 57], Operations: ['35+20=55', '2+55=57']
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 17*57=969, Resulting Numbers: [969]
969,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[55, 15], Operations: ['35+20=55', '17-2=15']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,92 unequal: No Solution
Exploring Operation: 55*15=825, Resulting Numbers: [825]
825,92 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
51,
26,
6,
39
] | 38 | [
"51+6=57",
"26*57=1482",
"1482/39=38"
] | Current State: 38:[51, 26, 6, 39], Operations: []
Exploring Operation: 51+6=57, Resulting Numbers: [26, 39, 57]
Generated Node #2: [26, 39, 57] from Operation: 51+6=57
Current State: 38:[26, 39, 57], Operations: ['51+6=57']
Exploring Operation: 26*57=1482, Resulting Numbers: [39, 1482]
Generated Node #3: [39, 1482] from Operation: 26*57=1482
Current State: 38:[39, 1482], Operations: ['51+6=57', '26*57=1482']
Exploring Operation: 1482/39=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[51, 26, 6, 39], Operations: []
Exploring Operation: 51-6=45, Resulting Numbers: [26, 39, 45]
Generated Node #0,0: 38:[26, 39, 45] Operation: 51-6=45
Exploring Operation: 51-39=12, Resulting Numbers: [26, 6, 12]
Generated Node #0,1: 38:[26, 6, 12] Operation: 51-39=12
Exploring Operation: 51-26=25, Resulting Numbers: [6, 39, 25]
Generated Node #0,2: 38:[6, 39, 25] Operation: 51-26=25
Exploring Operation: 26+6=32, Resulting Numbers: [51, 39, 32]
Generated Node #0,3: 38:[51, 39, 32] Operation: 26+6=32
Exploring Operation: 26-6=20, Resulting Numbers: [51, 39, 20]
Generated Node #0,4: 38:[51, 39, 20] Operation: 26-6=20
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[6, 39, 25], Operations: ['51-26=25']
Exploring Operation: 6+25=31, Resulting Numbers: [39, 31]
Generated Node #0,2,0: 38:[39, 31] Operation: 6+25=31
Exploring Operation: 25-6=19, Resulting Numbers: [39, 19]
Generated Node #0,2,1: 38:[39, 19] Operation: 25-6=19
Exploring Operation: 39-6=33, Resulting Numbers: [25, 33]
Generated Node #0,2,2: 38:[25, 33] Operation: 39-6=33
Exploring Operation: 39-25=14, Resulting Numbers: [6, 14]
Generated Node #0,2,3: 38:[6, 14] Operation: 39-25=14
Exploring Operation: 6+39=45, Resulting Numbers: [25, 45]
Generated Node #0,2,4: 38:[25, 45] Operation: 6+39=45
Moving to Node #0,2,1
Current State: 38:[39, 19], Operations: ['51-26=25', '25-6=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,38 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[39, 31], Operations: ['51-26=25', '6+25=31']
Exploring Operation: 39*31=1209, Resulting Numbers: [1209]
1209,38 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Moving to Node #0,2,3
Current State: 38:[6, 14], Operations: ['51-26=25', '39-25=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[25, 33], Operations: ['51-26=25', '39-6=33']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 25*33=825, Resulting Numbers: [825]
825,38 unequal: No Solution
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Moving to Node #0,2,4
Current State: 38:[25, 45], Operations: ['51-26=25', '6+39=45']
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,38 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,38 unequal: No Solution
No 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: 38:[26, 39, 45], Operations: ['51-6=45']
Exploring Operation: 45-26=19, Resulting Numbers: [39, 19]
Generated Node #0,0,0: 38:[39, 19] Operation: 45-26=19
Exploring Operation: 26+45=71, Resulting Numbers: [39, 71]
Generated Node #0,0,1: 38:[39, 71] Operation: 26+45=71
Exploring Operation: 26+39=65, Resulting Numbers: [45, 65]
Generated Node #0,0,2: 38:[45, 65] Operation: 26+39=65
Exploring Operation: 45-39=6, Resulting Numbers: [26, 6]
Generated Node #0,0,3: 38:[26, 6] Operation: 45-39=6
Exploring Operation: 39-26=13, Resulting Numbers: [45, 13]
Generated Node #0,0,4: 38:[45, 13] Operation: 39-26=13
Moving to Node #0,0,0
Current State: 38:[39, 19], Operations: ['51-6=45', '45-26=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[26, 6], Operations: ['51-6=45', '45-39=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,38 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Moving to Node #0,0,4
Current State: 38:[45, 13], Operations: ['51-6=45', '39-26=13']
Exploring Operation: 45*13=585, Resulting Numbers: [585]
585,38 unequal: No Solution
Exploring Operation: 45+13=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[39, 71], Operations: ['51-6=45', '26+45=71']
Exploring Operation: 39+71=110, Resulting Numbers: [110]
110,38 unequal: No Solution
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 39*71=2769, Resulting Numbers: [2769]
2769,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[45, 65], Operations: ['51-6=45', '26+39=65']
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 45*65=2925, Resulting Numbers: [2925]
2925,38 unequal: No Solution
Exploring Operation: 45+65=110, Resulting Numbers: [110]
110,38 unequal: No Solution
No 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: 38:[51, 39, 20], Operations: ['26-6=20']
Exploring Operation: 39+20=59, Resulting Numbers: [51, 59]
Generated Node #0,4,0: 38:[51, 59] Operation: 39+20=59
Exploring Operation: 51-20=31, Resulting Numbers: [39, 31]
Generated Node #0,4,1: 38:[39, 31] Operation: 51-20=31
Exploring Operation: 39-20=19, Resulting Numbers: [51, 19]
Generated Node #0,4,2: 38:[51, 19] Operation: 39-20=19
Exploring Operation: 51-39=12, Resulting Numbers: [20, 12]
Generated Node #0,4,3: 38:[20, 12] Operation: 51-39=12
Exploring Operation: 51+20=71, Resulting Numbers: [39, 71]
Generated Node #0,4,4: 38:[39, 71] Operation: 51+20=71
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 38:[39, 31], Operations: ['26-6=20', '51-20=31']
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 39*31=1209, Resulting Numbers: [1209]
1209,38 unequal: No Solution
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,38 unequal: No Solution
No 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: 38:[20, 12], Operations: ['26-6=20', '51-39=12']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,38 unequal: No Solution
No 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: 38:[51, 19], Operations: ['26-6=20', '39-20=19']
Exploring Operation: 51*19=969, Resulting Numbers: [969]
969,38 unequal: No Solution
Exploring Operation: 51+19=70, Resulting Numbers: [70]
70,38 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 38:[51, 59], Operations: ['26-6=20', '39+20=59']
Exploring Operation: 51*59=3009, Resulting Numbers: [3009]
3009,38 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 51+59=110, Resulting Numbers: [110]
110,38 unequal: No Solution
No 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: 38:[39, 71], Operations: ['26-6=20', '51+20=71']
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 39*71=2769, Resulting Numbers: [2769]
2769,38 unequal: No Solution
Exploring Operation: 39+71=110, Resulting Numbers: [110]
110,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[26, 6, 12], Operations: ['51-39=12']
Exploring Operation: 26-12=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 38:[6, 14] Operation: 26-12=14
Exploring Operation: 12/6=2, Resulting Numbers: [26, 2]
Generated Node #0,1,1: 38:[26, 2] Operation: 12/6=2
Exploring Operation: 26+12=38, Resulting Numbers: [6, 38]
Generated Node #0,1,2: 38:[6, 38] Operation: 26+12=38
Exploring Operation: 26-6=20, Resulting Numbers: [12, 20]
Generated Node #0,1,3: 38:[12, 20] Operation: 26-6=20
Exploring Operation: 6+12=18, Resulting Numbers: [26, 18]
Generated Node #0,1,4: 38:[26, 18] Operation: 6+12=18
Moving to Node #0,1,2
Current State: 38:[6, 38], Operations: ['51-39=12', '26+12=38']
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,38 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[26, 2], Operations: ['51-39=12', '12/6=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[12, 20], Operations: ['51-39=12', '26-6=20']
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,38 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Moving to Node #0,1,4
Current State: 38:[26, 18], Operations: ['51-39=12', '6+12=18']
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,38 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[6, 14], Operations: ['51-39=12', '26-12=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,38 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,38 unequal: No Solution
No 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: 38:[51, 39, 32], Operations: ['26+6=32']
Exploring Operation: 51-39=12, Resulting Numbers: [32, 12]
Generated Node #0,3,0: 38:[32, 12] Operation: 51-39=12
Exploring Operation: 51+32=83, Resulting Numbers: [39, 83]
Generated Node #0,3,1: 38:[39, 83] Operation: 51+32=83
Exploring Operation: 51-32=19, Resulting Numbers: [39, 19]
Generated Node #0,3,2: 38:[39, 19] Operation: 51-32=19
Exploring Operation: 39+32=71, Resulting Numbers: [51, 71]
Generated Node #0,3,3: 38:[51, 71] Operation: 39+32=71
Exploring Operation: 39-32=7, Resulting Numbers: [51, 7]
Generated Node #0,3,4: 38:[51, 7] Operation: 39-32=7
Moving to Node #0,3,2
Current State: 38:[39, 19], Operations: ['26+6=32', '51-32=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,38 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[32, 12], Operations: ['26+6=32', '51-39=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,38 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Moving to Node #0,3,4
Current State: 38:[51, 7], Operations: ['26+6=32', '39-32=7']
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,38 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[39, 83], Operations: ['26+6=32', '51+32=83']
Exploring Operation: 39*83=3237, Resulting Numbers: [3237]
3237,38 unequal: No Solution
Exploring Operation: 39+83=122, Resulting Numbers: [122]
122,38 unequal: No Solution
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[51, 71], Operations: ['26+6=32', '39+32=71']
Exploring Operation: 71-51=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 51+71=122, Resulting Numbers: [122]
122,38 unequal: No Solution
Exploring Operation: 51*71=3621, Resulting Numbers: [3621]
3621,38 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 |
[
68,
10,
32,
9
] | 99 | [
"68-10=58",
"32+9=41",
"58+41=99"
] | Current State: 99:[68, 10, 32, 9], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [32, 9, 58]
Generated Node #2: [32, 9, 58] from Operation: 68-10=58
Current State: 99:[32, 9, 58], Operations: ['68-10=58']
Exploring Operation: 32+9=41, Resulting Numbers: [58, 41]
Generated Node #3: [58, 41] from Operation: 32+9=41
Current State: 99:[58, 41], Operations: ['68-10=58', '32+9=41']
Exploring Operation: 58+41=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[68, 10, 32, 9], Operations: []
Exploring Operation: 68+10=78, Resulting Numbers: [32, 9, 78]
Generated Node #0,0: 99:[32, 9, 78] Operation: 68+10=78
Exploring Operation: 68-32=36, Resulting Numbers: [10, 9, 36]
Generated Node #0,1: 99:[10, 9, 36] Operation: 68-32=36
Exploring Operation: 68+9=77, Resulting Numbers: [10, 32, 77]
Generated Node #0,2: 99:[10, 32, 77] Operation: 68+9=77
Exploring Operation: 68+32=100, Resulting Numbers: [10, 9, 100]
Generated Node #0,3: 99:[10, 9, 100] Operation: 68+32=100
Moving to Node #0,3
Current State: 99:[10, 9, 100], Operations: ['68+32=100']
Exploring Operation: 10-9=1, Resulting Numbers: [100, 1]
Generated Node #0,3,0: 99:[100, 1] Operation: 10-9=1
Exploring Operation: 100/10=10, Resulting Numbers: [9, 10]
Generated Node #0,3,1: 99:[9, 10] Operation: 100/10=10
Exploring Operation: 10+9=19, Resulting Numbers: [100, 19]
Generated Node #0,3,2: 99:[100, 19] Operation: 10+9=19
Exploring Operation: 100-10=90, Resulting Numbers: [9, 90]
Generated Node #0,3,3: 99:[9, 90] Operation: 100-10=90
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[9, 10], Operations: ['68+32=100', '100/10=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,99 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,99 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,99 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 #0,3,0
Current State: 99:[100, 1], Operations: ['68+32=100', '10-9=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[68, 10, 32, 9], Operations: []
Exploring Operation: 68+32=100, Resulting Numbers: [10, 9, 100]
Generated Node #0,3: 99:[10, 9, 100] Operation: 68+32=100
Moving to Node #0,3
Current State: 99:[10, 9, 100], Operations: ['68+32=100']
Exploring Operation: 10-9=1, Resulting Numbers: [100, 1]
Generated Node #0,3,0: 99:[100, 1] Operation: 10-9=1
Moving to Node #0,3,0
Current State: 99:[100, 1], Operations: ['68+32=100', '10-9=1']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
6,
75,
99,
31
] | 25 | [
"99-6=93",
"75*31=2325",
"2325/93=25"
] | Current State: 25:[6, 75, 99, 31], Operations: []
Exploring Operation: 99-6=93, Resulting Numbers: [75, 31, 93]
Generated Node #2: [75, 31, 93] from Operation: 99-6=93
Current State: 25:[75, 31, 93], Operations: ['99-6=93']
Exploring Operation: 75*31=2325, Resulting Numbers: [93, 2325]
Generated Node #3: [93, 2325] from Operation: 75*31=2325
Current State: 25:[93, 2325], Operations: ['99-6=93', '75*31=2325']
Exploring Operation: 2325/93=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[6, 75, 99, 31], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [6, 31, 24]
Generated Node #0,0: 25:[6, 31, 24] Operation: 99-75=24
Exploring Operation: 99-6=93, Resulting Numbers: [75, 31, 93]
Generated Node #0,1: 25:[75, 31, 93] Operation: 99-6=93
Exploring Operation: 75-6=69, Resulting Numbers: [99, 31, 69]
Generated Node #0,2: 25:[99, 31, 69] Operation: 75-6=69
Exploring Operation: 99-31=68, Resulting Numbers: [6, 75, 68]
Generated Node #0,3: 25:[6, 75, 68] Operation: 99-31=68
Exploring Operation: 75-31=44, Resulting Numbers: [6, 99, 44]
Generated Node #0,4: 25:[6, 99, 44] Operation: 75-31=44
Moving to Node #0,0
Current State: 25:[6, 31, 24], Operations: ['99-75=24']
Exploring Operation: 6+31=37, Resulting Numbers: [24, 37]
Generated Node #0,0,0: 25:[24, 37] Operation: 6+31=37
Exploring Operation: 31-6=25, Resulting Numbers: [24, 25]
Generated Node #0,0,1: 25:[24, 25] Operation: 31-6=25
Exploring Operation: 6+24=30, Resulting Numbers: [31, 30]
Generated Node #0,0,2: 25:[31, 30] Operation: 6+24=30
Exploring Operation: 24/6=4, Resulting Numbers: [31, 4]
Generated Node #0,0,3: 25:[31, 4] Operation: 24/6=4
Exploring Operation: 31-24=7, Resulting Numbers: [6, 7]
Generated Node #0,0,4: 25:[6, 7] Operation: 31-24=7
Moving to Node #0,4
Current State: 25:[6, 99, 44], Operations: ['75-31=44']
Exploring Operation: 6+99=105, Resulting Numbers: [44, 105]
Generated Node #0,4,0: 25:[44, 105] Operation: 6+99=105
Exploring Operation: 44-6=38, Resulting Numbers: [99, 38]
Generated Node #0,4,1: 25:[99, 38] Operation: 44-6=38
Exploring Operation: 99-44=55, Resulting Numbers: [6, 55]
Generated Node #0,4,2: 25:[6, 55] Operation: 99-44=55
Exploring Operation: 99-6=93, Resulting Numbers: [44, 93]
Generated Node #0,4,3: 25:[44, 93] Operation: 99-6=93
Exploring Operation: 6+44=50, Resulting Numbers: [99, 50]
Generated Node #0,4,4: 25:[99, 50] Operation: 6+44=50
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 25:[6, 55], Operations: ['75-31=44', '99-44=55']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,25 unequal: No Solution
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 25:[99, 38], Operations: ['75-31=44', '44-6=38']
Exploring Operation: 99-38=61, Resulting Numbers: [61]
61,25 unequal: No Solution
Exploring Operation: 99+38=137, Resulting Numbers: [137]
137,25 unequal: No Solution
Exploring Operation: 99*38=3762, Resulting Numbers: [3762]
3762,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 25:[44, 93], Operations: ['75-31=44', '99-6=93']
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 44+93=137, Resulting Numbers: [137]
137,25 unequal: No Solution
Exploring Operation: 44*93=4092, Resulting Numbers: [4092]
4092,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 25:[44, 105], Operations: ['75-31=44', '6+99=105']
Exploring Operation: 105-44=61, Resulting Numbers: [61]
61,25 unequal: No Solution
Exploring Operation: 44+105=149, Resulting Numbers: [149]
149,25 unequal: No Solution
Exploring Operation: 44*105=4620, Resulting Numbers: [4620]
4620,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 25:[99, 50], Operations: ['75-31=44', '6+44=50']
Exploring Operation: 99*50=4950, Resulting Numbers: [4950]
4950,25 unequal: No Solution
Exploring Operation: 99+50=149, Resulting Numbers: [149]
149,25 unequal: No Solution
Exploring Operation: 99-50=49, Resulting Numbers: [49]
49,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 25:[6, 75, 68], Operations: ['99-31=68']
Exploring Operation: 68-6=62, Resulting Numbers: [75, 62]
Generated Node #0,3,0: 25:[75, 62] Operation: 68-6=62
Exploring Operation: 6+68=74, Resulting Numbers: [75, 74]
Generated Node #0,3,1: 25:[75, 74] Operation: 6+68=74
Exploring Operation: 6+75=81, Resulting Numbers: [68, 81]
Generated Node #0,3,2: 25:[68, 81] Operation: 6+75=81
Exploring Operation: 75-6=69, Resulting Numbers: [68, 69]
Generated Node #0,3,3: 25:[68, 69] Operation: 75-6=69
Exploring Operation: 75-68=7, Resulting Numbers: [6, 7]
Generated Node #0,3,4: 25:[6, 7] Operation: 75-68=7
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 25:[6, 7], Operations: ['99-31=68', '75-68=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[75, 62], Operations: ['99-31=68', '68-6=62']
Exploring Operation: 75-62=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 75*62=4650, Resulting Numbers: [4650]
4650,25 unequal: No Solution
Exploring Operation: 75+62=137, Resulting Numbers: [137]
137,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[68, 69], Operations: ['99-31=68', '75-6=69']
Exploring Operation: 68*69=4692, Resulting Numbers: [4692]
4692,25 unequal: No Solution
Exploring Operation: 68+69=137, Resulting Numbers: [137]
137,25 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[75, 74], Operations: ['99-31=68', '6+68=74']
Exploring Operation: 75*74=5550, Resulting Numbers: [5550]
5550,25 unequal: No Solution
Exploring Operation: 75-74=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 75+74=149, Resulting Numbers: [149]
149,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[68, 81], Operations: ['99-31=68', '6+75=81']
Exploring Operation: 68*81=5508, Resulting Numbers: [5508]
5508,25 unequal: No Solution
Exploring Operation: 68+81=149, Resulting Numbers: [149]
149,25 unequal: No Solution
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 25:[75, 31, 93], Operations: ['99-6=93']
Exploring Operation: 75+31=106, Resulting Numbers: [93, 106]
Generated Node #0,1,0: 25:[93, 106] Operation: 75+31=106
Exploring Operation: 93-75=18, Resulting Numbers: [31, 18]
Generated Node #0,1,1: 25:[31, 18] Operation: 93-75=18
Exploring Operation: 93-31=62, Resulting Numbers: [75, 62]
Generated Node #0,1,2: 25:[75, 62] Operation: 93-31=62
Exploring Operation: 93/31=3, Resulting Numbers: [75, 3]
Generated Node #0,1,3: 25:[75, 3] Operation: 93/31=3
Exploring Operation: 75-31=44, Resulting Numbers: [93, 44]
Generated Node #0,1,4: 25:[93, 44] Operation: 75-31=44
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[31, 18], Operations: ['99-6=93', '93-75=18']
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,25 unequal: No Solution
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[75, 3], Operations: ['99-6=93', '93/31=3']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 75+3=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 75*3=225, Resulting Numbers: [225]
225,25 unequal: No Solution
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[6, 75, 99, 31], Operations: []
Exploring Operation: 99-6=93, Resulting Numbers: [75, 31, 93]
Generated Node #0,1: 25:[75, 31, 93] Operation: 99-6=93
Moving to Node #0,1
Current State: 25:[75, 31, 93], Operations: ['99-6=93']
Exploring Operation: 93/31=3, Resulting Numbers: [75, 3]
Generated Node #0,1,3: 25:[75, 3] Operation: 93/31=3
Moving to Node #0,1,3
Current State: 25:[75, 3], Operations: ['99-6=93', '93/31=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.942708 | hs_5 | mult_heuristic |
[
9,
3,
13,
7
] | 69 | [
"13+7=20",
"3*20=60",
"9+60=69"
] | Current State: 69:[9, 3, 13, 7], Operations: []
Exploring Operation: 13+7=20, Resulting Numbers: [9, 3, 20]
Generated Node #2: [9, 3, 20] from Operation: 13+7=20
Current State: 69:[9, 3, 20], Operations: ['13+7=20']
Exploring Operation: 3*20=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 3*20=60
Current State: 69:[9, 60], Operations: ['13+7=20', '3*20=60']
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[9, 3, 13, 7], Operations: []
Exploring Operation: 13+7=20, Resulting Numbers: [9, 3, 20]
Generated Node #0,0: 69:[9, 3, 20] Operation: 13+7=20
Exploring Operation: 9+13=22, Resulting Numbers: [3, 7, 22]
Generated Node #0,1: 69:[3, 7, 22] Operation: 9+13=22
Exploring Operation: 13-9=4, Resulting Numbers: [3, 7, 4]
Generated Node #0,2: 69:[3, 7, 4] Operation: 13-9=4
Exploring Operation: 13-7=6, Resulting Numbers: [9, 3, 6]
Generated Node #0,3: 69:[9, 3, 6] Operation: 13-7=6
Moving to Node #0,1
Current State: 69:[3, 7, 22], Operations: ['9+13=22']
Exploring Operation: 3*7=21, Resulting Numbers: [22, 21]
Generated Node #0,1,0: 69:[22, 21] Operation: 3*7=21
Exploring Operation: 7+22=29, Resulting Numbers: [3, 29]
Generated Node #0,1,1: 69:[3, 29] Operation: 7+22=29
Exploring Operation: 3+22=25, Resulting Numbers: [7, 25]
Generated Node #0,1,2: 69:[7, 25] Operation: 3+22=25
Exploring Operation: 7-3=4, Resulting Numbers: [22, 4]
Generated Node #0,1,3: 69:[22, 4] Operation: 7-3=4
Moving to Node #0,2
Current State: 69:[3, 7, 4], Operations: ['13-9=4']
Exploring Operation: 3*7=21, Resulting Numbers: [4, 21]
Generated Node #0,2,0: 69:[4, 21] Operation: 3*7=21
Exploring Operation: 7-4=3, Resulting Numbers: [3, 3]
Generated Node #0,2,1: 69:[3, 3] Operation: 7-4=3
Exploring Operation: 7*4=28, Resulting Numbers: [3, 28]
Generated Node #0,2,2: 69:[3, 28] Operation: 7*4=28
Exploring Operation: 7-3=4, Resulting Numbers: [4, 4]
Generated Node #0,2,3: 69:[4, 4] Operation: 7-3=4
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[3, 3], Operations: ['13-9=4', '7-4=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 69:[4, 4], Operations: ['13-9=4', '7-3=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[4, 21], Operations: ['13-9=4', '3*7=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[3, 28], Operations: ['13-9=4', '7*4=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,69 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: 69:[9, 3, 6], Operations: ['13-7=6']
Exploring Operation: 6-3=3, Resulting Numbers: [9, 3]
Generated Node #0,3,0: 69:[9, 3] Operation: 6-3=3
Exploring Operation: 9-3=6, Resulting Numbers: [6, 6]
Generated Node #0,3,1: 69:[6, 6] Operation: 9-3=6
Exploring Operation: 9-6=3, Resulting Numbers: [3, 3]
Generated Node #0,3,2: 69:[3, 3] Operation: 9-6=3
Exploring Operation: 9/3=3, Resulting Numbers: [6, 3]
Generated Node #0,3,3: 69:[6, 3] Operation: 9/3=3
Moving to Node #0,0
Current State: 69:[9, 3, 20], Operations: ['13+7=20']
Exploring Operation: 9/3=3, Resulting Numbers: [20, 3]
Generated Node #0,0,0: 69:[20, 3] Operation: 9/3=3
Exploring Operation: 3+20=23, Resulting Numbers: [9, 23]
Generated Node #0,0,1: 69:[9, 23] Operation: 3+20=23
Exploring Operation: 9+20=29, Resulting Numbers: [3, 29]
Generated Node #0,0,2: 69:[3, 29] Operation: 9+20=29
Exploring Operation: 9-3=6, Resulting Numbers: [20, 6]
Generated Node #0,0,3: 69:[20, 6] Operation: 9-3=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[20, 3], Operations: ['13+7=20', '9/3=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[9, 23], Operations: ['13+7=20', '3+20=23']
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,69 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[3, 29], Operations: ['13+7=20', '9+20=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,69 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[20, 6], Operations: ['13+7=20', '9-3=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,69 unequal: No Solution
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 69:[3, 3], Operations: ['13-7=6', '9-6=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[22, 4], Operations: ['9+13=22', '7-3=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,69 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[6, 3], Operations: ['13-7=6', '9/3=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[22, 21], Operations: ['9+13=22', '3*7=21']
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,69 unequal: No Solution
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,69 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[3, 29], Operations: ['9+13=22', '7+22=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,69 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[9, 3], Operations: ['13-7=6', '6-3=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,69 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[6, 6], Operations: ['13-7=6', '9-3=6']
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[7, 25], Operations: ['9+13=22', '3+22=25']
Exploring Operation: 7*25=175, Resulting Numbers: [175]
175,69 unequal: No Solution
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,69 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
59,
82,
27,
62
] | 52 | [
"59+82=141",
"27+62=89",
"141-89=52"
] | Current State: 52:[59, 82, 27, 62], Operations: []
Exploring Operation: 59+82=141, Resulting Numbers: [27, 62, 141]
Generated Node #2: [27, 62, 141] from Operation: 59+82=141
Current State: 52:[27, 62, 141], Operations: ['59+82=141']
Exploring Operation: 27+62=89, Resulting Numbers: [141, 89]
Generated Node #3: [141, 89] from Operation: 27+62=89
Current State: 52:[141, 89], Operations: ['59+82=141', '27+62=89']
Exploring Operation: 141-89=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[59, 82, 27, 62], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [82, 27, 3]
Generated Node #0,0: 52:[82, 27, 3] Operation: 62-59=3
Exploring Operation: 82-27=55, Resulting Numbers: [59, 62, 55]
Generated Node #0,1: 52:[59, 62, 55] Operation: 82-27=55
Exploring Operation: 82-59=23, Resulting Numbers: [27, 62, 23]
Generated Node #0,2: 52:[27, 62, 23] Operation: 82-59=23
Exploring Operation: 82-62=20, Resulting Numbers: [59, 27, 20]
Generated Node #0,3: 52:[59, 27, 20] Operation: 82-62=20
Moving to Node #0,2
Current State: 52:[27, 62, 23], Operations: ['82-59=23']
Exploring Operation: 62-27=35, Resulting Numbers: [23, 35]
Generated Node #0,2,0: 52:[23, 35] Operation: 62-27=35
Exploring Operation: 27-23=4, Resulting Numbers: [62, 4]
Generated Node #0,2,1: 52:[62, 4] Operation: 27-23=4
Exploring Operation: 62-23=39, Resulting Numbers: [27, 39]
Generated Node #0,2,2: 52:[27, 39] Operation: 62-23=39
Exploring Operation: 27+23=50, Resulting Numbers: [62, 50]
Generated Node #0,2,3: 52:[62, 50] Operation: 27+23=50
Moving to Node #0,3
Current State: 52:[59, 27, 20], Operations: ['82-62=20']
Exploring Operation: 59-27=32, Resulting Numbers: [20, 32]
Generated Node #0,3,0: 52:[20, 32] Operation: 59-27=32
Exploring Operation: 27+20=47, Resulting Numbers: [59, 47]
Generated Node #0,3,1: 52:[59, 47] Operation: 27+20=47
Exploring Operation: 59-20=39, Resulting Numbers: [27, 39]
Generated Node #0,3,2: 52:[27, 39] Operation: 59-20=39
Exploring Operation: 27-20=7, Resulting Numbers: [59, 7]
Generated Node #0,3,3: 52:[59, 7] Operation: 27-20=7
Moving to Node #0,1
Current State: 52:[59, 62, 55], Operations: ['82-27=55']
Exploring Operation: 62-59=3, Resulting Numbers: [55, 3]
Generated Node #0,1,0: 52:[55, 3] Operation: 62-59=3
Exploring Operation: 59-55=4, Resulting Numbers: [62, 4]
Generated Node #0,1,1: 52:[62, 4] Operation: 59-55=4
Exploring Operation: 59+62=121, Resulting Numbers: [55, 121]
Generated Node #0,1,2: 52:[55, 121] Operation: 59+62=121
Exploring Operation: 62-55=7, Resulting Numbers: [59, 7]
Generated Node #0,1,3: 52:[59, 7] Operation: 62-55=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[55, 3], Operations: ['82-27=55', '62-59=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[59, 82, 27, 62], Operations: []
Exploring Operation: 82-27=55, Resulting Numbers: [59, 62, 55]
Generated Node #0,1: 52:[59, 62, 55] Operation: 82-27=55
Moving to Node #0,1
Current State: 52:[59, 62, 55], Operations: ['82-27=55']
Exploring Operation: 62-59=3, Resulting Numbers: [55, 3]
Generated Node #0,1,0: 52:[55, 3] Operation: 62-59=3
Moving to Node #0,1,0
Current State: 52:[55, 3], Operations: ['82-27=55', '62-59=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
1,
3,
90,
3
] | 81 | [
"1*3=3",
"3*3=9",
"90-9=81"
] | Current State: 81:[1, 3, 90, 3], Operations: []
Exploring Operation: 1*3=3, Resulting Numbers: [90, 3]
Generated Node #2: [90, 3] from Operation: 1*3=3
Current State: 81:[90, 3], Operations: ['1*3=3']
Exploring Operation: 3*3=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 3*3=9
Current State: 81:[90, 9], Operations: ['1*3=3', '3*3=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[1, 3, 90, 3], Operations: []
Exploring Operation: 90-3=87, Resulting Numbers: [1, 3, 87]
Generated Node #0,0: 81:[1, 3, 87] Operation: 90-3=87
Exploring Operation: 90/3=30, Resulting Numbers: [1, 3, 30]
Generated Node #0,1: 81:[1, 3, 30] Operation: 90/3=30
Exploring Operation: 90/3=30, Resulting Numbers: [1, 3, 30]
Generated Node #0,2: 81:[1, 3, 30] Operation: 90/3=30
Exploring Operation: 90-3=87, Resulting Numbers: [1, 3, 87]
Generated Node #0,3: 81:[1, 3, 87] Operation: 90-3=87
Exploring Operation: 90-1=89, Resulting Numbers: [3, 3, 89]
Generated Node #0,4: 81:[3, 3, 89] Operation: 90-1=89
Moving to Node #0,1
Current State: 81:[1, 3, 30], Operations: ['90/3=30']
Exploring Operation: 30-1=29, Resulting Numbers: [3, 29]
Generated Node #0,1,0: 81:[3, 29] Operation: 30-1=29
Exploring Operation: 30-3=27, Resulting Numbers: [1, 27]
Generated Node #0,1,1: 81:[1, 27] Operation: 30-3=27
Exploring Operation: 3/1=3, Resulting Numbers: [30, 3]
Generated Node #0,1,2: 81:[30, 3] Operation: 3/1=3
Exploring Operation: 1*30=30, Resulting Numbers: [3, 30]
Generated Node #0,1,3: 81:[3, 30] Operation: 1*30=30
Exploring Operation: 1*3=3, Resulting Numbers: [30, 3]
Generated Node #0,1,4: 81:[30, 3] Operation: 1*3=3
Moving to Node #0,2
Current State: 81:[1, 3, 30], Operations: ['90/3=30']
Exploring Operation: 30-3=27, Resulting Numbers: [1, 27]
Generated Node #0,2,0: 81:[1, 27] Operation: 30-3=27
Exploring Operation: 1*3=3, Resulting Numbers: [30, 3]
Generated Node #0,2,1: 81:[30, 3] Operation: 1*3=3
Exploring Operation: 30-1=29, Resulting Numbers: [3, 29]
Generated Node #0,2,2: 81:[3, 29] Operation: 30-1=29
Exploring Operation: 1*30=30, Resulting Numbers: [3, 30]
Generated Node #0,2,3: 81:[3, 30] Operation: 1*30=30
Exploring Operation: 3/1=3, Resulting Numbers: [30, 3]
Generated Node #0,2,4: 81:[30, 3] Operation: 3/1=3
Moving to Node #0,0
Current State: 81:[1, 3, 87], Operations: ['90-3=87']
Exploring Operation: 87/3=29, Resulting Numbers: [1, 29]
Generated Node #0,0,0: 81:[1, 29] Operation: 87/3=29
Exploring Operation: 1*3=3, Resulting Numbers: [87, 3]
Generated Node #0,0,1: 81:[87, 3] Operation: 1*3=3
Exploring Operation: 87-1=86, Resulting Numbers: [3, 86]
Generated Node #0,0,2: 81:[3, 86] Operation: 87-1=86
Exploring Operation: 3/1=3, Resulting Numbers: [87, 3]
Generated Node #0,0,3: 81:[87, 3] Operation: 3/1=3
Exploring Operation: 87-3=84, Resulting Numbers: [1, 84]
Generated Node #0,0,4: 81:[1, 84] Operation: 87-3=84
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[1, 29], Operations: ['90-3=87', '87/3=29']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,81 unequal: No Solution
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 1*29=29, Resulting Numbers: [29]
29,81 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:[3, 86], Operations: ['90-3=87', '87-1=86']
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,81 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,81 unequal: No Solution
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,81 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 #0,0,4
Current State: 81:[1, 84], Operations: ['90-3=87', '87-3=84']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,81 unequal: No Solution
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 1+84=85, Resulting Numbers: [85]
85,81 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 #0,0,1
Current State: 81:[87, 3], Operations: ['90-3=87', '1*3=3']
Exploring Operation: 87*3=261, Resulting Numbers: [261]
261,81 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,81 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 #0,0,3
Current State: 81:[87, 3], Operations: ['90-3=87', '3/1=3']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,81 unequal: No Solution
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 87*3=261, Resulting Numbers: [261]
261,81 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: 81:[1, 3, 87], Operations: ['90-3=87']
Exploring Operation: 87-1=86, Resulting Numbers: [3, 86]
Generated Node #0,3,0: 81:[3, 86] Operation: 87-1=86
Exploring Operation: 87/3=29, Resulting Numbers: [1, 29]
Generated Node #0,3,1: 81:[1, 29] Operation: 87/3=29
Exploring Operation: 3/1=3, Resulting Numbers: [87, 3]
Generated Node #0,3,2: 81:[87, 3] Operation: 3/1=3
Exploring Operation: 87-3=84, Resulting Numbers: [1, 84]
Generated Node #0,3,3: 81:[1, 84] Operation: 87-3=84
Exploring Operation: 1*3=3, Resulting Numbers: [87, 3]
Generated Node #0,3,4: 81:[87, 3] Operation: 1*3=3
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 81:[1, 29], Operations: ['90-3=87', '87/3=29']
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,81 unequal: No Solution
Exploring Operation: 1*29=29, Resulting Numbers: [29]
29,81 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 #0,3,0
Current State: 81:[3, 86], Operations: ['90-3=87', '87-1=86']
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,81 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,81 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 #0,3,3
Current State: 81:[1, 84], Operations: ['90-3=87', '87-3=84']
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 1+84=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 84/1=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,81 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 #0,3,2
Current State: 81:[87, 3], Operations: ['90-3=87', '3/1=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,81 unequal: No Solution
Exploring Operation: 87*3=261, Resulting Numbers: [261]
261,81 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 #0,3,4
Current State: 81:[87, 3], Operations: ['90-3=87', '1*3=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,81 unequal: No Solution
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 87*3=261, Resulting Numbers: [261]
261,81 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 81:[3, 3, 89], Operations: ['90-1=89']
Exploring Operation: 3/3=1, Resulting Numbers: [89, 1]
Generated Node #0,4,0: 81:[89, 1] Operation: 3/3=1
Exploring Operation: 89-3=86, Resulting Numbers: [3, 86]
Generated Node #0,4,1: 81:[3, 86] Operation: 89-3=86
Exploring Operation: 89-3=86, Resulting Numbers: [3, 86]
Generated Node #0,4,2: 81:[3, 86] Operation: 89-3=86
Exploring Operation: 3+3=6, Resulting Numbers: [89, 6]
Generated Node #0,4,3: 81:[89, 6] Operation: 3+3=6
Exploring Operation: 3*3=9, Resulting Numbers: [89, 9]
Generated Node #0,4,4: 81:[89, 9] Operation: 3*3=9
Moving to Node #0,1,0
Current State: 81:[3, 29], Operations: ['90/3=30', '30-1=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,81 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,81 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[1, 27], Operations: ['90/3=30', '30-3=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[3, 29], Operations: ['90/3=30', '30-1=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,81 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[1, 27], Operations: ['90/3=30', '30-3=27']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[30, 3], Operations: ['90/3=30', '3/1=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Moving to Node #0,1,4
Current State: 81:[30, 3], Operations: ['90/3=30', '1*3=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Moving to Node #0,2,4
Current State: 81:[30, 3], Operations: ['90/3=30', '3/1=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[3, 30], Operations: ['90/3=30', '1*30=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,2,3
Current State: 81:[3, 30], Operations: ['90/3=30', '1*30=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[30, 3], Operations: ['90/3=30', '1*3=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Moving to Node #0,4,2
Current State: 81:[3, 86], Operations: ['90-1=89', '89-3=86']
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,81 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,81 unequal: No Solution
Moving to Node #0,4,1
Current State: 81:[3, 86], Operations: ['90-1=89', '89-3=86']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,81 unequal: No Solution
Exploring Operation: 3+86=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 3*86=258, Resulting Numbers: [258]
258,81 unequal: No Solution
Moving to Node #0,4,4
Current State: 81:[89, 9], Operations: ['90-1=89', '3*3=9']
Exploring Operation: 89*9=801, Resulting Numbers: [801]
801,81 unequal: No Solution
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,81 unequal: No Solution
Moving to Node #0,4,0
Current State: 81:[89, 1], Operations: ['90-1=89', '3/3=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Moving to Node #0,4,3
Current State: 81:[89, 6], Operations: ['90-1=89', '3+3=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,81 unequal: No Solution
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,81 unequal: No Solution
Exploring Operation: 89*6=534, Resulting Numbers: [534]
534,81 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
70,
18,
66,
52
] | 30 | [
"70+18=88",
"66+52=118",
"118-88=30"
] | Current State: 30:[70, 18, 66, 52], Operations: []
Exploring Operation: 70+18=88, Resulting Numbers: [66, 52, 88]
Generated Node #2: [66, 52, 88] from Operation: 70+18=88
Current State: 30:[66, 52, 88], Operations: ['70+18=88']
Exploring Operation: 66+52=118, Resulting Numbers: [88, 118]
Generated Node #3: [88, 118] from Operation: 66+52=118
Current State: 30:[88, 118], Operations: ['70+18=88', '66+52=118']
Exploring Operation: 118-88=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[70, 18, 66, 52], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [70, 18, 14]
Generated Node #0,0: 30:[70, 18, 14] Operation: 66-52=14
Exploring Operation: 70-52=18, Resulting Numbers: [18, 66, 18]
Generated Node #0,1: 30:[18, 66, 18] Operation: 70-52=18
Exploring Operation: 70-66=4, Resulting Numbers: [18, 52, 4]
Generated Node #0,2: 30:[18, 52, 4] Operation: 70-66=4
Moving to Node #0,2
Current State: 30:[18, 52, 4], Operations: ['70-66=4']
Exploring Operation: 52-18=34, Resulting Numbers: [4, 34]
Generated Node #0,2,0: 30:[4, 34] Operation: 52-18=34
Exploring Operation: 52-4=48, Resulting Numbers: [18, 48]
Generated Node #0,2,1: 30:[18, 48] Operation: 52-4=48
Exploring Operation: 52/4=13, Resulting Numbers: [18, 13]
Generated Node #0,2,2: 30:[18, 13] Operation: 52/4=13
Moving to Node #0,1
Current State: 30:[18, 66, 18], Operations: ['70-52=18']
Exploring Operation: 66-18=48, Resulting Numbers: [18, 48]
Generated Node #0,1,0: 30:[18, 48] Operation: 66-18=48
Exploring Operation: 66-18=48, Resulting Numbers: [18, 48]
Generated Node #0,1,1: 30:[18, 48] Operation: 66-18=48
Exploring Operation: 18/18=1, Resulting Numbers: [66, 1]
Generated Node #0,1,2: 30:[66, 1] Operation: 18/18=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[18, 48], Operations: ['70-52=18', '66-18=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[70, 18, 66, 52], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [18, 66, 18]
Generated Node #0,1: 30:[18, 66, 18] Operation: 70-52=18
Moving to Node #0,1
Current State: 30:[18, 66, 18], Operations: ['70-52=18']
Exploring Operation: 66-18=48, Resulting Numbers: [18, 48]
Generated Node #0,1,0: 30:[18, 48] Operation: 66-18=48
Moving to Node #0,1,0
Current State: 30:[18, 48], Operations: ['70-52=18', '66-18=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
77,
80,
19,
22
] | 85 | [
"80-77=3",
"22*3=66",
"19+66=85"
] | Current State: 85:[77, 80, 19, 22], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [19, 22, 3]
Generated Node #2: [19, 22, 3] from Operation: 80-77=3
Current State: 85:[19, 22, 3], Operations: ['80-77=3']
Exploring Operation: 22*3=66, Resulting Numbers: [19, 66]
Generated Node #3: [19, 66] from Operation: 22*3=66
Current State: 85:[19, 66], Operations: ['80-77=3', '22*3=66']
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[77, 80, 19, 22], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [77, 80, 3]
Generated Node #0,0: 85:[77, 80, 3] Operation: 22-19=3
Exploring Operation: 80-77=3, Resulting Numbers: [19, 22, 3]
Generated Node #0,1: 85:[19, 22, 3] Operation: 80-77=3
Moving to Node #0,1
Current State: 85:[19, 22, 3], Operations: ['80-77=3']
Exploring Operation: 22-19=3, Resulting Numbers: [3, 3]
Generated Node #0,1,0: 85:[3, 3] Operation: 22-19=3
Exploring Operation: 22-3=19, Resulting Numbers: [19, 19]
Generated Node #0,1,1: 85:[19, 19] Operation: 22-3=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[3, 3], Operations: ['80-77=3', '22-19=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,85 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[19, 19], Operations: ['80-77=3', '22-3=19']
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,85 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,85 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: 85:[77, 80, 3], Operations: ['22-19=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80, 80]
Generated Node #0,0,0: 85:[80, 80] Operation: 77+3=80
Exploring Operation: 80-77=3, Resulting Numbers: [3, 3]
Generated Node #0,0,1: 85:[3, 3] Operation: 80-77=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[3, 3], Operations: ['22-19=3', '80-77=3']
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,85 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[80, 80], Operations: ['22-19=3', '77+3=80']
Exploring Operation: 80-80=0, Resulting Numbers: [0]
0,85 unequal: No Solution
Exploring Operation: 80/80=1, Resulting Numbers: [1]
1,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
31,
54,
43,
96
] | 78 | [
"54*43=2322",
"96+2322=2418",
"2418/31=78"
] | Current State: 78:[31, 54, 43, 96], Operations: []
Exploring Operation: 54*43=2322, Resulting Numbers: [31, 96, 2322]
Generated Node #2: [31, 96, 2322] from Operation: 54*43=2322
Current State: 78:[31, 96, 2322], Operations: ['54*43=2322']
Exploring Operation: 96+2322=2418, Resulting Numbers: [31, 2418]
Generated Node #3: [31, 2418] from Operation: 96+2322=2418
Current State: 78:[31, 2418], Operations: ['54*43=2322', '96+2322=2418']
Exploring Operation: 2418/31=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[31, 54, 43, 96], Operations: []
Exploring Operation: 54-31=23, Resulting Numbers: [43, 96, 23]
Generated Node #0,0: 78:[43, 96, 23] Operation: 54-31=23
Exploring Operation: 54-43=11, Resulting Numbers: [31, 96, 11]
Generated Node #0,1: 78:[31, 96, 11] Operation: 54-43=11
Exploring Operation: 96-54=42, Resulting Numbers: [31, 43, 42]
Generated Node #0,2: 78:[31, 43, 42] Operation: 96-54=42
Exploring Operation: 31+54=85, Resulting Numbers: [43, 96, 85]
Generated Node #0,3: 78:[43, 96, 85] Operation: 31+54=85
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[31, 43, 42], Operations: ['96-54=42']
Exploring Operation: 31+43=74, Resulting Numbers: [42, 74]
Generated Node #0,2,0: 78:[42, 74] Operation: 31+43=74
Exploring Operation: 43-42=1, Resulting Numbers: [31, 1]
Generated Node #0,2,1: 78:[31, 1] Operation: 43-42=1
Exploring Operation: 43-31=12, Resulting Numbers: [42, 12]
Generated Node #0,2,2: 78:[42, 12] Operation: 43-31=12
Exploring Operation: 42-31=11, Resulting Numbers: [43, 11]
Generated Node #0,2,3: 78:[43, 11] Operation: 42-31=11
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[42, 12], Operations: ['96-54=42', '43-31=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,78 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,78 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:[31, 1], Operations: ['96-54=42', '43-42=1']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,78 unequal: No Solution
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,78 unequal: No Solution
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,78 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 #0,2,3
Current State: 78:[43, 11], Operations: ['96-54=42', '42-31=11']
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,78 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[42, 74], Operations: ['96-54=42', '31+43=74']
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,78 unequal: No Solution
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,78 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,78 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:[43, 96, 23], Operations: ['54-31=23']
Exploring Operation: 96-23=73, Resulting Numbers: [43, 73]
Generated Node #0,0,0: 78:[43, 73] Operation: 96-23=73
Exploring Operation: 43+23=66, Resulting Numbers: [96, 66]
Generated Node #0,0,1: 78:[96, 66] Operation: 43+23=66
Exploring Operation: 96-43=53, Resulting Numbers: [23, 53]
Generated Node #0,0,2: 78:[23, 53] Operation: 96-43=53
Exploring Operation: 43-23=20, Resulting Numbers: [96, 20]
Generated Node #0,0,3: 78:[96, 20] Operation: 43-23=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[43, 73], Operations: ['54-31=23', '96-23=73']
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,78 unequal: No Solution
Exploring Operation: 43+73=116, Resulting Numbers: [116]
116,78 unequal: No Solution
Exploring Operation: 43*73=3139, Resulting Numbers: [3139]
3139,78 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:[23, 53], Operations: ['54-31=23', '96-43=53']
Exploring Operation: 23+53=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 23*53=1219, Resulting Numbers: [1219]
1219,78 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,78 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 #0,0,3
Current State: 78:[96, 20], Operations: ['54-31=23', '43-23=20']
Exploring Operation: 96*20=1920, Resulting Numbers: [1920]
1920,78 unequal: No Solution
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 96+20=116, Resulting Numbers: [116]
116,78 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 #0,0,1
Current State: 78:[96, 66], Operations: ['54-31=23', '43+23=66']
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,78 unequal: No Solution
Exploring Operation: 96+66=162, Resulting Numbers: [162]
162,78 unequal: No Solution
Exploring Operation: 96*66=6336, Resulting Numbers: [6336]
6336,78 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 #0,1
Current State: 78:[31, 96, 11], Operations: ['54-43=11']
Exploring Operation: 31-11=20, Resulting Numbers: [96, 20]
Generated Node #0,1,0: 78:[96, 20] Operation: 31-11=20
Exploring Operation: 96-11=85, Resulting Numbers: [31, 85]
Generated Node #0,1,1: 78:[31, 85] Operation: 96-11=85
Exploring Operation: 31+11=42, Resulting Numbers: [96, 42]
Generated Node #0,1,2: 78:[96, 42] Operation: 31+11=42
Exploring Operation: 96-31=65, Resulting Numbers: [11, 65]
Generated Node #0,1,3: 78:[11, 65] Operation: 96-31=65
Moving to Node #0,1,1
Current State: 78:[31, 85], Operations: ['54-43=11', '96-11=85']
Exploring Operation: 31+85=116, Resulting Numbers: [116]
116,78 unequal: No Solution
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Exploring Operation: 31*85=2635, Resulting Numbers: [2635]
2635,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[11, 65], Operations: ['54-43=11', '96-31=65']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Exploring Operation: 11*65=715, Resulting Numbers: [715]
715,78 unequal: No Solution
Exploring Operation: 11+65=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[96, 42], Operations: ['54-43=11', '31+11=42']
Exploring Operation: 96*42=4032, Resulting Numbers: [4032]
4032,78 unequal: No Solution
Exploring Operation: 96+42=138, Resulting Numbers: [138]
138,78 unequal: No Solution
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[96, 20], Operations: ['54-43=11', '31-11=20']
Exploring Operation: 96-20=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 96*20=1920, Resulting Numbers: [1920]
1920,78 unequal: No Solution
Exploring Operation: 96+20=116, Resulting Numbers: [116]
116,78 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 #0,3
Current State: 78:[43, 96, 85], Operations: ['31+54=85']
Exploring Operation: 96-85=11, Resulting Numbers: [43, 11]
Generated Node #0,3,0: 78:[43, 11] Operation: 96-85=11
Exploring Operation: 43+96=139, Resulting Numbers: [85, 139]
Generated Node #0,3,1: 78:[85, 139] Operation: 43+96=139
Exploring Operation: 96-43=53, Resulting Numbers: [85, 53]
Generated Node #0,3,2: 78:[85, 53] Operation: 96-43=53
Exploring Operation: 85-43=42, Resulting Numbers: [96, 42]
Generated Node #0,3,3: 78:[96, 42] Operation: 85-43=42
Moving to Node #0,3,0
Current State: 78:[43, 11], Operations: ['31+54=85', '96-85=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[96, 42], Operations: ['31+54=85', '85-43=42']
Exploring Operation: 96*42=4032, Resulting Numbers: [4032]
4032,78 unequal: No Solution
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Exploring Operation: 96+42=138, Resulting Numbers: [138]
138,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[85, 53], Operations: ['31+54=85', '96-43=53']
Exploring Operation: 85+53=138, Resulting Numbers: [138]
138,78 unequal: No Solution
Exploring Operation: 85-53=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 85*53=4505, Resulting Numbers: [4505]
4505,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[85, 139], Operations: ['31+54=85', '43+96=139']
Exploring Operation: 85+139=224, Resulting Numbers: [224]
224,78 unequal: No Solution
Exploring Operation: 85*139=11815, Resulting Numbers: [11815]
11815,78 unequal: No Solution
Exploring Operation: 139-85=54, Resulting Numbers: [54]
54,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
64,
16,
28,
52
] | 95 | [
"28*52=1456",
"64+1456=1520",
"1520/16=95"
] | Current State: 95:[64, 16, 28, 52], Operations: []
Exploring Operation: 28*52=1456, Resulting Numbers: [64, 16, 1456]
Generated Node #2: [64, 16, 1456] from Operation: 28*52=1456
Current State: 95:[64, 16, 1456], Operations: ['28*52=1456']
Exploring Operation: 64+1456=1520, Resulting Numbers: [16, 1520]
Generated Node #3: [16, 1520] from Operation: 64+1456=1520
Current State: 95:[16, 1520], Operations: ['28*52=1456', '64+1456=1520']
Exploring Operation: 1520/16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[64, 16, 28, 52], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [16, 28, 12]
Generated Node #0,0: 95:[16, 28, 12] Operation: 64-52=12
Exploring Operation: 64+52=116, Resulting Numbers: [16, 28, 116]
Generated Node #0,1: 95:[16, 28, 116] Operation: 64+52=116
Exploring Operation: 64+28=92, Resulting Numbers: [16, 52, 92]
Generated Node #0,2: 95:[16, 52, 92] Operation: 64+28=92
Exploring Operation: 52-28=24, Resulting Numbers: [64, 16, 24]
Generated Node #0,3: 95:[64, 16, 24] Operation: 52-28=24
Moving to Node #0,0
Current State: 95:[16, 28, 12], Operations: ['64-52=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28, 28]
Generated Node #0,0,0: 95:[28, 28] Operation: 16+12=28
Exploring Operation: 28-12=16, Resulting Numbers: [16, 16]
Generated Node #0,0,1: 95:[16, 16] Operation: 28-12=16
Exploring Operation: 28-16=12, Resulting Numbers: [12, 12]
Generated Node #0,0,2: 95:[12, 12] Operation: 28-16=12
Exploring Operation: 16-12=4, Resulting Numbers: [28, 4]
Generated Node #0,0,3: 95:[28, 4] Operation: 16-12=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[16, 16], Operations: ['64-52=12', '28-12=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,95 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,95 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,95 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 #0,0,3
Current State: 95:[28, 4], Operations: ['64-52=12', '16-12=4']
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,95 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,95 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,95 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 #0,0,2
Current State: 95:[12, 12], Operations: ['64-52=12', '28-16=12']
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,95 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,95 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[28, 28], Operations: ['64-52=12', '16+12=28']
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,95 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,95 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: 95:[16, 28, 116], Operations: ['64+52=116']
Exploring Operation: 116-28=88, Resulting Numbers: [16, 88]
Generated Node #0,1,0: 95:[16, 88] Operation: 116-28=88
Exploring Operation: 116-16=100, Resulting Numbers: [28, 100]
Generated Node #0,1,1: 95:[28, 100] Operation: 116-16=100
Exploring Operation: 16+28=44, Resulting Numbers: [116, 44]
Generated Node #0,1,2: 95:[116, 44] Operation: 16+28=44
Exploring Operation: 28-16=12, Resulting Numbers: [116, 12]
Generated Node #0,1,3: 95:[116, 12] Operation: 28-16=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[16, 88], Operations: ['64+52=116', '116-28=88']
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 16*88=1408, Resulting Numbers: [1408]
1408,95 unequal: No Solution
Exploring Operation: 16+88=104, Resulting Numbers: [104]
104,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[28, 100], Operations: ['64+52=116', '116-16=100']
Exploring Operation: 28*100=2800, Resulting Numbers: [2800]
2800,95 unequal: No Solution
Exploring Operation: 100-28=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 28+100=128, Resulting Numbers: [128]
128,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 95:[116, 12], Operations: ['64+52=116', '28-16=12']
Exploring Operation: 116+12=128, Resulting Numbers: [128]
128,95 unequal: No Solution
Exploring Operation: 116-12=104, Resulting Numbers: [104]
104,95 unequal: No Solution
Exploring Operation: 116*12=1392, Resulting Numbers: [1392]
1392,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[116, 44], Operations: ['64+52=116', '16+28=44']
Exploring Operation: 116+44=160, Resulting Numbers: [160]
160,95 unequal: No Solution
Exploring Operation: 116-44=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 116*44=5104, Resulting Numbers: [5104]
5104,95 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:[64, 16, 24], Operations: ['52-28=24']
Exploring Operation: 64/16=4, Resulting Numbers: [24, 4]
Generated Node #0,3,0: 95:[24, 4] Operation: 64/16=4
Exploring Operation: 64+24=88, Resulting Numbers: [16, 88]
Generated Node #0,3,1: 95:[16, 88] Operation: 64+24=88
Exploring Operation: 64-24=40, Resulting Numbers: [16, 40]
Generated Node #0,3,2: 95:[16, 40] Operation: 64-24=40
Exploring Operation: 64+16=80, Resulting Numbers: [24, 80]
Generated Node #0,3,3: 95:[24, 80] Operation: 64+16=80
Moving to Node #0,2
Current State: 95:[16, 52, 92], Operations: ['64+28=92']
Exploring Operation: 16+52=68, Resulting Numbers: [92, 68]
Generated Node #0,2,0: 95:[92, 68] Operation: 16+52=68
Exploring Operation: 16+92=108, Resulting Numbers: [52, 108]
Generated Node #0,2,1: 95:[52, 108] Operation: 16+92=108
Exploring Operation: 52-16=36, Resulting Numbers: [92, 36]
Generated Node #0,2,2: 95:[92, 36] Operation: 52-16=36
Exploring Operation: 92-52=40, Resulting Numbers: [16, 40]
Generated Node #0,2,3: 95:[16, 40] Operation: 92-52=40
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[92, 36], Operations: ['64+28=92', '52-16=36']
Exploring Operation: 92+36=128, Resulting Numbers: [128]
128,95 unequal: No Solution
Exploring Operation: 92-36=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 92*36=3312, Resulting Numbers: [3312]
3312,95 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:[16, 40], Operations: ['64+28=92', '92-52=40']
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,95 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,95 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 #0,2,0
Current State: 95:[92, 68], Operations: ['64+28=92', '16+52=68']
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 92+68=160, Resulting Numbers: [160]
160,95 unequal: No Solution
Exploring Operation: 92*68=6256, Resulting Numbers: [6256]
6256,95 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:[52, 108], Operations: ['64+28=92', '16+92=108']
Exploring Operation: 52+108=160, Resulting Numbers: [160]
160,95 unequal: No Solution
Exploring Operation: 108-52=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 52*108=5616, Resulting Numbers: [5616]
5616,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 95:[24, 4], Operations: ['52-28=24', '64/16=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,95 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[16, 88], Operations: ['52-28=24', '64+24=88']
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 16*88=1408, Resulting Numbers: [1408]
1408,95 unequal: No Solution
Exploring Operation: 16+88=104, Resulting Numbers: [104]
104,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[24, 80], Operations: ['52-28=24', '64+16=80']
Exploring Operation: 24*80=1920, Resulting Numbers: [1920]
1920,95 unequal: No Solution
Exploring Operation: 24+80=104, Resulting Numbers: [104]
104,95 unequal: No Solution
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[16, 40], Operations: ['52-28=24', '64-24=40']
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,95 unequal: No Solution
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,95 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
1,
8,
16,
42
] | 20 | [
"16/8=2",
"42/2=21",
"21-1=20"
] | Current State: 20:[1, 8, 16, 42], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [1, 42, 2]
Generated Node #2: [1, 42, 2] from Operation: 16/8=2
Current State: 20:[1, 42, 2], Operations: ['16/8=2']
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 42/2=21
Current State: 20:[1, 21], Operations: ['16/8=2', '42/2=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[1, 8, 16, 42], Operations: []
Exploring Operation: 42-16=26, Resulting Numbers: [1, 8, 26]
Generated Node #0,0: 20:[1, 8, 26] Operation: 42-16=26
Exploring Operation: 42-8=34, Resulting Numbers: [1, 16, 34]
Generated Node #0,1: 20:[1, 16, 34] Operation: 42-8=34
Exploring Operation: 16/8=2, Resulting Numbers: [1, 42, 2]
Generated Node #0,2: 20:[1, 42, 2] Operation: 16/8=2
Moving to Node #0,0
Current State: 20:[1, 8, 26], Operations: ['42-16=26']
Exploring Operation: 1+8=9, Resulting Numbers: [26, 9]
Generated Node #0,0,0: 20:[26, 9] Operation: 1+8=9
Exploring Operation: 26-1=25, Resulting Numbers: [8, 25]
Generated Node #0,0,1: 20:[8, 25] Operation: 26-1=25
Exploring Operation: 26-8=18, Resulting Numbers: [1, 18]
Generated Node #0,0,2: 20:[1, 18] Operation: 26-8=18
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[1, 18], Operations: ['42-16=26', '26-8=18']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[26, 9], Operations: ['42-16=26', '1+8=9']
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,20 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[8, 25], Operations: ['42-16=26', '26-1=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,20 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,20 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: 20:[1, 16, 34], Operations: ['42-8=34']
Exploring Operation: 1+16=17, Resulting Numbers: [34, 17]
Generated Node #0,1,0: 20:[34, 17] Operation: 1+16=17
Exploring Operation: 34-16=18, Resulting Numbers: [1, 18]
Generated Node #0,1,1: 20:[1, 18] Operation: 34-16=18
Exploring Operation: 34-1=33, Resulting Numbers: [16, 33]
Generated Node #0,1,2: 20:[16, 33] Operation: 34-1=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[1, 18], Operations: ['42-8=34', '34-16=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[34, 17], Operations: ['42-8=34', '1+16=17']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,20 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 20:[16, 33], Operations: ['42-8=34', '34-1=33']
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,20 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,20 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 20:[1, 42, 2], Operations: ['16/8=2']
Exploring Operation: 42-1=41, Resulting Numbers: [2, 41]
Generated Node #0,2,0: 20:[2, 41] Operation: 42-1=41
Exploring Operation: 42-2=40, Resulting Numbers: [1, 40]
Generated Node #0,2,1: 20:[1, 40] Operation: 42-2=40
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #0,2,2: 20:[1, 21] Operation: 42/2=21
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[1, 21], Operations: ['16/8=2', '42/2=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[1, 8, 16, 42], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [1, 42, 2]
Generated Node #0,2: 20:[1, 42, 2] Operation: 16/8=2
Moving to Node #0,2
Current State: 20:[1, 42, 2], Operations: ['16/8=2']
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #0,2,2: 20:[1, 21] Operation: 42/2=21
Moving to Node #0,2,2
Current State: 20:[1, 21], Operations: ['16/8=2', '42/2=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
11,
32,
2,
5
] | 33 | [
"11+32=43",
"2*5=10",
"43-10=33"
] | Current State: 33:[11, 32, 2, 5], Operations: []
Exploring Operation: 11+32=43, Resulting Numbers: [2, 5, 43]
Generated Node #2: [2, 5, 43] from Operation: 11+32=43
Current State: 33:[2, 5, 43], Operations: ['11+32=43']
Exploring Operation: 2*5=10, Resulting Numbers: [43, 10]
Generated Node #3: [43, 10] from Operation: 2*5=10
Current State: 33:[43, 10], Operations: ['11+32=43', '2*5=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[11, 32, 2, 5], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [11, 32, 3]
Generated Node #0,0: 33:[11, 32, 3] Operation: 5-2=3
Exploring Operation: 2*5=10, Resulting Numbers: [11, 32, 10]
Generated Node #0,1: 33:[11, 32, 10] Operation: 2*5=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[11, 32, 3], Operations: ['5-2=3']
Exploring Operation: 32+3=35, Resulting Numbers: [11, 35]
Generated Node #0,0,0: 33:[11, 35] Operation: 32+3=35
Exploring Operation: 11*3=33, Resulting Numbers: [32, 33]
Generated Node #0,0,1: 33:[32, 33] Operation: 11*3=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[32, 33], Operations: ['5-2=3', '11*3=33']
Exploring Operation: 32+33=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No 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: 33:[11, 35], Operations: ['5-2=3', '32+3=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,33 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: 33:[11, 32, 10], Operations: ['2*5=10']
Exploring Operation: 32+10=42, Resulting Numbers: [11, 42]
Generated Node #0,1,0: 33:[11, 42] Operation: 32+10=42
Exploring Operation: 11-10=1, Resulting Numbers: [32, 1]
Generated Node #0,1,1: 33:[32, 1] Operation: 11-10=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[32, 1], Operations: ['2*5=10', '11-10=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[11, 32, 2, 5], Operations: []
Exploring Operation: 2*5=10, Resulting Numbers: [11, 32, 10]
Generated Node #0,1: 33:[11, 32, 10] Operation: 2*5=10
Moving to Node #0,1
Current State: 33:[11, 32, 10], Operations: ['2*5=10']
Exploring Operation: 11-10=1, Resulting Numbers: [32, 1]
Generated Node #0,1,1: 33:[32, 1] Operation: 11-10=1
Moving to Node #0,1,1
Current State: 33:[32, 1], Operations: ['2*5=10', '11-10=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
45,
4,
36,
55
] | 31 | [
"55-36=19",
"4*19=76",
"76-45=31"
] | Current State: 31:[45, 4, 36, 55], Operations: []
Exploring Operation: 55-36=19, Resulting Numbers: [45, 4, 19]
Generated Node #2: [45, 4, 19] from Operation: 55-36=19
Current State: 31:[45, 4, 19], Operations: ['55-36=19']
Exploring Operation: 4*19=76, Resulting Numbers: [45, 76]
Generated Node #3: [45, 76] from Operation: 4*19=76
Current State: 31:[45, 76], Operations: ['55-36=19', '4*19=76']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[45, 4, 36, 55], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [36, 55, 41]
Generated Node #0,0: 31:[36, 55, 41] Operation: 45-4=41
Moving to Node #0,0
Current State: 31:[36, 55, 41], Operations: ['45-4=41']
Exploring Operation: 55-36=19, Resulting Numbers: [41, 19]
Generated Node #0,0,0: 31:[41, 19] Operation: 55-36=19
Moving to Node #0,0,0
Current State: 31:[41, 19], Operations: ['45-4=41', '55-36=19']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,31 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
48,
57,
23
] | 87 | [
"5+48=53",
"57-23=34",
"53+34=87"
] | Current State: 87:[5, 48, 57, 23], Operations: []
Exploring Operation: 5+48=53, Resulting Numbers: [57, 23, 53]
Generated Node #2: [57, 23, 53] from Operation: 5+48=53
Current State: 87:[57, 23, 53], Operations: ['5+48=53']
Exploring Operation: 57-23=34, Resulting Numbers: [53, 34]
Generated Node #3: [53, 34] from Operation: 57-23=34
Current State: 87:[53, 34], Operations: ['5+48=53', '57-23=34']
Exploring Operation: 53+34=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[5, 48, 57, 23], Operations: []
Exploring Operation: 48+57=105, Resulting Numbers: [5, 23, 105]
Generated Node #0,0: 87:[5, 23, 105] Operation: 48+57=105
Exploring Operation: 57-48=9, Resulting Numbers: [5, 23, 9]
Generated Node #0,1: 87:[5, 23, 9] Operation: 57-48=9
Moving to Node #0,1
Current State: 87:[5, 23, 9], Operations: ['57-48=9']
Exploring Operation: 5+23=28, Resulting Numbers: [9, 28]
Generated Node #0,1,0: 87:[9, 28] Operation: 5+23=28
Exploring Operation: 23+9=32, Resulting Numbers: [5, 32]
Generated Node #0,1,1: 87:[5, 32] Operation: 23+9=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[5, 32], Operations: ['57-48=9', '23+9=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[9, 28], Operations: ['57-48=9', '5+23=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 87:[5, 23, 105], Operations: ['48+57=105']
Exploring Operation: 105-23=82, Resulting Numbers: [5, 82]
Generated Node #0,0,0: 87:[5, 82] Operation: 105-23=82
Exploring Operation: 105/5=21, Resulting Numbers: [23, 21]
Generated Node #0,0,1: 87:[23, 21] Operation: 105/5=21
Moving to Node #0,0,0
Current State: 87:[5, 82], Operations: ['48+57=105', '105-23=82']
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[5, 48, 57, 23], Operations: []
Exploring Operation: 48+57=105, Resulting Numbers: [5, 23, 105]
Generated Node #0,0: 87:[5, 23, 105] Operation: 48+57=105
Moving to Node #0,0
Current State: 87:[5, 23, 105], Operations: ['48+57=105']
Exploring Operation: 105-23=82, Resulting Numbers: [5, 82]
Generated Node #0,0,0: 87:[5, 82] Operation: 105-23=82
Moving to Node #0,0,0
Current State: 87:[5, 82], Operations: ['48+57=105', '105-23=82']
Exploring Operation: 5+82=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
11,
98,
58,
62
] | 93 | [
"98-11=87",
"62*87=5394",
"5394/58=93"
] | Current State: 93:[11, 98, 58, 62], Operations: []
Exploring Operation: 98-11=87, Resulting Numbers: [58, 62, 87]
Generated Node #2: [58, 62, 87] from Operation: 98-11=87
Current State: 93:[58, 62, 87], Operations: ['98-11=87']
Exploring Operation: 62*87=5394, Resulting Numbers: [58, 5394]
Generated Node #3: [58, 5394] from Operation: 62*87=5394
Current State: 93:[58, 5394], Operations: ['98-11=87', '62*87=5394']
Exploring Operation: 5394/58=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[11, 98, 58, 62], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [11, 98, 4]
Generated Node #0,0: 93:[11, 98, 4] Operation: 62-58=4
Exploring Operation: 58+62=120, Resulting Numbers: [11, 98, 120]
Generated Node #0,1: 93:[11, 98, 120] Operation: 58+62=120
Exploring Operation: 98-62=36, Resulting Numbers: [11, 58, 36]
Generated Node #0,2: 93:[11, 58, 36] Operation: 98-62=36
Moving to Node #0,0
Current State: 93:[11, 98, 4], Operations: ['62-58=4']
Exploring Operation: 11-4=7, Resulting Numbers: [98, 7]
Generated Node #0,0,0: 93:[98, 7] Operation: 11-4=7
Exploring Operation: 98-4=94, Resulting Numbers: [11, 94]
Generated Node #0,0,1: 93:[11, 94] Operation: 98-4=94
Exploring Operation: 98-11=87, Resulting Numbers: [4, 87]
Generated Node #0,0,2: 93:[4, 87] Operation: 98-11=87
Moving to Node #0,1
Current State: 93:[11, 98, 120], Operations: ['58+62=120']
Exploring Operation: 120-11=109, Resulting Numbers: [98, 109]
Generated Node #0,1,0: 93:[98, 109] Operation: 120-11=109
Exploring Operation: 120-98=22, Resulting Numbers: [11, 22]
Generated Node #0,1,1: 93:[11, 22] Operation: 120-98=22
Exploring Operation: 98-11=87, Resulting Numbers: [120, 87]
Generated Node #0,1,2: 93:[120, 87] Operation: 98-11=87
Moving to Node #0,2
Current State: 93:[11, 58, 36], Operations: ['98-62=36']
Exploring Operation: 58-11=47, Resulting Numbers: [36, 47]
Generated Node #0,2,0: 93:[36, 47] Operation: 58-11=47
Exploring Operation: 58+36=94, Resulting Numbers: [11, 94]
Generated Node #0,2,1: 93:[11, 94] Operation: 58+36=94
Exploring Operation: 58-36=22, Resulting Numbers: [11, 22]
Generated Node #0,2,2: 93:[11, 22] Operation: 58-36=22
Moving to Node #0,0,2
Current State: 93:[4, 87], Operations: ['62-58=4', '98-11=87']
Exploring Operation: 4+87=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Exploring Operation: 4*87=348, Resulting Numbers: [348]
348,93 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[11, 94], Operations: ['62-58=4', '98-4=94']
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,93 unequal: No Solution
Exploring Operation: 11+94=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Exploring Operation: 11*94=1034, Resulting Numbers: [1034]
1034,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[11, 94], Operations: ['98-62=36', '58+36=94']
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,93 unequal: No Solution
Exploring Operation: 11*94=1034, Resulting Numbers: [1034]
1034,93 unequal: No Solution
Exploring Operation: 11+94=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[98, 7], Operations: ['62-58=4', '11-4=7']
Exploring Operation: 98+7=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[11, 22], Operations: ['98-62=36', '58-36=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[11, 22], Operations: ['58+62=120', '120-98=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[36, 47], Operations: ['98-62=36', '58-11=47']
Exploring Operation: 36+47=83, Resulting Numbers: [83]
83,93 unequal: No Solution
Exploring Operation: 36*47=1692, Resulting Numbers: [1692]
1692,93 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[98, 109], Operations: ['58+62=120', '120-11=109']
Exploring Operation: 109-98=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Exploring Operation: 98+109=207, Resulting Numbers: [207]
207,93 unequal: No Solution
Exploring Operation: 98*109=10682, Resulting Numbers: [10682]
10682,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[120, 87], Operations: ['58+62=120', '98-11=87']
Exploring Operation: 120+87=207, Resulting Numbers: [207]
207,93 unequal: No Solution
Exploring Operation: 120-87=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 120*87=10440, Resulting Numbers: [10440]
10440,93 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
16,
65,
22,
47
] | 29 | [
"65+47=112",
"112/16=7",
"22+7=29"
] | Current State: 29:[16, 65, 22, 47], Operations: []
Exploring Operation: 65+47=112, Resulting Numbers: [16, 22, 112]
Generated Node #2: [16, 22, 112] from Operation: 65+47=112
Current State: 29:[16, 22, 112], Operations: ['65+47=112']
Exploring Operation: 112/16=7, Resulting Numbers: [22, 7]
Generated Node #3: [22, 7] from Operation: 112/16=7
Current State: 29:[22, 7], Operations: ['65+47=112', '112/16=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[16, 65, 22, 47], Operations: []
Exploring Operation: 47-16=31, Resulting Numbers: [65, 22, 31]
Generated Node #0,0: 29:[65, 22, 31] Operation: 47-16=31
Exploring Operation: 47-22=25, Resulting Numbers: [16, 65, 25]
Generated Node #0,1: 29:[16, 65, 25] Operation: 47-22=25
Exploring Operation: 65-47=18, Resulting Numbers: [16, 22, 18]
Generated Node #0,2: 29:[16, 22, 18] Operation: 65-47=18
Exploring Operation: 65-16=49, Resulting Numbers: [22, 47, 49]
Generated Node #0,3: 29:[22, 47, 49] Operation: 65-16=49
Exploring Operation: 65-22=43, Resulting Numbers: [16, 47, 43]
Generated Node #0,4: 29:[16, 47, 43] Operation: 65-22=43
Moving to Node #0,2
Current State: 29:[16, 22, 18], Operations: ['65-47=18']
Exploring Operation: 22-16=6, Resulting Numbers: [18, 6]
Generated Node #0,2,0: 29:[18, 6] Operation: 22-16=6
Exploring Operation: 18-16=2, Resulting Numbers: [22, 2]
Generated Node #0,2,1: 29:[22, 2] Operation: 18-16=2
Exploring Operation: 16+18=34, Resulting Numbers: [22, 34]
Generated Node #0,2,2: 29:[22, 34] Operation: 16+18=34
Exploring Operation: 22+18=40, Resulting Numbers: [16, 40]
Generated Node #0,2,3: 29:[16, 40] Operation: 22+18=40
Exploring Operation: 16+22=38, Resulting Numbers: [18, 38]
Generated Node #0,2,4: 29:[18, 38] Operation: 16+22=38
Moving to Node #0,3
Current State: 29:[22, 47, 49], Operations: ['65-16=49']
Exploring Operation: 22+47=69, Resulting Numbers: [49, 69]
Generated Node #0,3,0: 29:[49, 69] Operation: 22+47=69
Exploring Operation: 49-47=2, Resulting Numbers: [22, 2]
Generated Node #0,3,1: 29:[22, 2] Operation: 49-47=2
Exploring Operation: 49-22=27, Resulting Numbers: [47, 27]
Generated Node #0,3,2: 29:[47, 27] Operation: 49-22=27
Exploring Operation: 22+49=71, Resulting Numbers: [47, 71]
Generated Node #0,3,3: 29:[47, 71] Operation: 22+49=71
Exploring Operation: 47-22=25, Resulting Numbers: [49, 25]
Generated Node #0,3,4: 29:[49, 25] Operation: 47-22=25
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 29:[47, 27], Operations: ['65-16=49', '49-22=27']
Exploring Operation: 47*27=1269, Resulting Numbers: [1269]
1269,29 unequal: No Solution
Exploring Operation: 47+27=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 29:[49, 25], Operations: ['65-16=49', '47-22=25']
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 49*25=1225, Resulting Numbers: [1225]
1225,29 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[22, 2], Operations: ['65-16=49', '49-47=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,29 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 29:[49, 69], Operations: ['65-16=49', '22+47=69']
Exploring Operation: 49+69=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 49*69=3381, Resulting Numbers: [3381]
3381,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 29:[47, 71], Operations: ['65-16=49', '22+49=71']
Exploring Operation: 47*71=3337, Resulting Numbers: [3337]
3337,29 unequal: No Solution
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 47+71=118, Resulting Numbers: [118]
118,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 29:[65, 22, 31], Operations: ['47-16=31']
Exploring Operation: 22+31=53, Resulting Numbers: [65, 53]
Generated Node #0,0,0: 29:[65, 53] Operation: 22+31=53
Exploring Operation: 31-22=9, Resulting Numbers: [65, 9]
Generated Node #0,0,1: 29:[65, 9] Operation: 31-22=9
Exploring Operation: 65-22=43, Resulting Numbers: [31, 43]
Generated Node #0,0,2: 29:[31, 43] Operation: 65-22=43
Exploring Operation: 65-31=34, Resulting Numbers: [22, 34]
Generated Node #0,0,3: 29:[22, 34] Operation: 65-31=34
Exploring Operation: 65+22=87, Resulting Numbers: [31, 87]
Generated Node #0,0,4: 29:[31, 87] Operation: 65+22=87
Moving to Node #0,4
Current State: 29:[16, 47, 43], Operations: ['65-22=43']
Exploring Operation: 16+47=63, Resulting Numbers: [43, 63]
Generated Node #0,4,0: 29:[43, 63] Operation: 16+47=63
Exploring Operation: 47-16=31, Resulting Numbers: [43, 31]
Generated Node #0,4,1: 29:[43, 31] Operation: 47-16=31
Exploring Operation: 16+43=59, Resulting Numbers: [47, 59]
Generated Node #0,4,2: 29:[47, 59] Operation: 16+43=59
Exploring Operation: 43-16=27, Resulting Numbers: [47, 27]
Generated Node #0,4,3: 29:[47, 27] Operation: 43-16=27
Exploring Operation: 47-43=4, Resulting Numbers: [16, 4]
Generated Node #0,4,4: 29:[16, 4] Operation: 47-43=4
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 29:[43, 31], Operations: ['65-22=43', '47-16=31']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 29:[47, 27], Operations: ['65-22=43', '43-16=27']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 47*27=1269, Resulting Numbers: [1269]
1269,29 unequal: No Solution
Exploring Operation: 47+27=74, Resulting Numbers: [74]
74,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 29:[16, 4], Operations: ['65-22=43', '47-43=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,29 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 29:[43, 63], Operations: ['65-22=43', '16+47=63']
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 43+63=106, Resulting Numbers: [106]
106,29 unequal: No Solution
Exploring Operation: 43*63=2709, Resulting Numbers: [2709]
2709,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 29:[47, 59], Operations: ['65-22=43', '16+43=59']
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 47*59=2773, Resulting Numbers: [2773]
2773,29 unequal: No Solution
Exploring Operation: 47+59=106, Resulting Numbers: [106]
106,29 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: 29:[16, 65, 25], Operations: ['47-22=25']
Exploring Operation: 16+65=81, Resulting Numbers: [25, 81]
Generated Node #0,1,0: 29:[25, 81] Operation: 16+65=81
Exploring Operation: 65-25=40, Resulting Numbers: [16, 40]
Generated Node #0,1,1: 29:[16, 40] Operation: 65-25=40
Exploring Operation: 16+25=41, Resulting Numbers: [65, 41]
Generated Node #0,1,2: 29:[65, 41] Operation: 16+25=41
Exploring Operation: 25-16=9, Resulting Numbers: [65, 9]
Generated Node #0,1,3: 29:[65, 9] Operation: 25-16=9
Exploring Operation: 65-16=49, Resulting Numbers: [25, 49]
Generated Node #0,1,4: 29:[25, 49] Operation: 65-16=49
Moving to Node #0,2,2
Current State: 29:[22, 34], Operations: ['65-47=18', '16+18=34']
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 22*34=748, Resulting Numbers: [748]
748,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[22, 34], Operations: ['47-16=31', '65-31=34']
Exploring Operation: 22*34=748, Resulting Numbers: [748]
748,29 unequal: No Solution
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[31, 43], Operations: ['47-16=31', '65-22=43']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 31*43=1333, Resulting Numbers: [1333]
1333,29 unequal: No Solution
Exploring Operation: 31+43=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[18, 38], Operations: ['65-47=18', '16+22=38']
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[16, 40], Operations: ['65-47=18', '22+18=40']
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,29 unequal: No Solution
Moving to Node #0,1,4
Current State: 29:[25, 49], Operations: ['47-22=25', '65-16=49']
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 25+49=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 25*49=1225, Resulting Numbers: [1225]
1225,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[16, 40], Operations: ['47-22=25', '65-25=40']
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[22, 2], Operations: ['65-47=18', '18-16=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,29 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[18, 6], Operations: ['65-47=18', '22-16=6']
Exploring Operation: 18*6=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[65, 41], Operations: ['47-22=25', '16+25=41']
Exploring Operation: 65+41=106, Resulting Numbers: [106]
106,29 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 65*41=2665, Resulting Numbers: [2665]
2665,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[65, 9], Operations: ['47-22=25', '25-16=9']
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,29 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[25, 81], Operations: ['47-22=25', '16+65=81']
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 25+81=106, Resulting Numbers: [106]
106,29 unequal: No Solution
Exploring Operation: 25*81=2025, Resulting Numbers: [2025]
2025,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[65, 9], Operations: ['47-16=31', '31-22=9']
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,29 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[65, 53], Operations: ['47-16=31', '22+31=53']
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 65+53=118, Resulting Numbers: [118]
118,29 unequal: No Solution
Exploring Operation: 65*53=3445, Resulting Numbers: [3445]
3445,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[31, 87], Operations: ['47-16=31', '65+22=87']
Exploring Operation: 31*87=2697, Resulting Numbers: [2697]
2697,29 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 31+87=118, Resulting Numbers: [118]
118,29 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
10,
92,
26,
78
] | 85 | [
"92-10=82",
"78/26=3",
"82+3=85"
] | Current State: 85:[10, 92, 26, 78], Operations: []
Exploring Operation: 92-10=82, Resulting Numbers: [26, 78, 82]
Generated Node #2: [26, 78, 82] from Operation: 92-10=82
Current State: 85:[26, 78, 82], Operations: ['92-10=82']
Exploring Operation: 78/26=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 78/26=3
Current State: 85:[82, 3], Operations: ['92-10=82', '78/26=3']
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[10, 92, 26, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [10, 92, 3]
Generated Node #0,0: 85:[10, 92, 3] Operation: 78/26=3
Exploring Operation: 92-10=82, Resulting Numbers: [26, 78, 82]
Generated Node #0,1: 85:[26, 78, 82] Operation: 92-10=82
Exploring Operation: 26-10=16, Resulting Numbers: [92, 78, 16]
Generated Node #0,2: 85:[92, 78, 16] Operation: 26-10=16
Exploring Operation: 92-78=14, Resulting Numbers: [10, 26, 14]
Generated Node #0,3: 85:[10, 26, 14] Operation: 92-78=14
Moving to Node #0,0
Current State: 85:[10, 92, 3], Operations: ['78/26=3']
Exploring Operation: 10-3=7, Resulting Numbers: [92, 7]
Generated Node #0,0,0: 85:[92, 7] Operation: 10-3=7
Exploring Operation: 92-10=82, Resulting Numbers: [3, 82]
Generated Node #0,0,1: 85:[3, 82] Operation: 92-10=82
Exploring Operation: 10+3=13, Resulting Numbers: [92, 13]
Generated Node #0,0,2: 85:[92, 13] Operation: 10+3=13
Exploring Operation: 92-3=89, Resulting Numbers: [10, 89]
Generated Node #0,0,3: 85:[10, 89] Operation: 92-3=89
Moving to Node #0,2
Current State: 85:[92, 78, 16], Operations: ['26-10=16']
Exploring Operation: 92-78=14, Resulting Numbers: [16, 14]
Generated Node #0,2,0: 85:[16, 14] Operation: 92-78=14
Exploring Operation: 92-16=76, Resulting Numbers: [78, 76]
Generated Node #0,2,1: 85:[78, 76] Operation: 92-16=76
Exploring Operation: 78+16=94, Resulting Numbers: [92, 94]
Generated Node #0,2,2: 85:[92, 94] Operation: 78+16=94
Exploring Operation: 92+16=108, Resulting Numbers: [78, 108]
Generated Node #0,2,3: 85:[78, 108] Operation: 92+16=108
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 85:[16, 14], Operations: ['26-10=16', '92-78=14']
Exploring Operation: 16*14=224, Resulting Numbers: [224]
224,85 unequal: No Solution
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 85:[78, 76], Operations: ['26-10=16', '92-16=76']
Exploring Operation: 78*76=5928, Resulting Numbers: [5928]
5928,85 unequal: No Solution
Exploring Operation: 78+76=154, Resulting Numbers: [154]
154,85 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 85:[92, 94], Operations: ['26-10=16', '78+16=94']
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,85 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 85:[78, 108], Operations: ['26-10=16', '92+16=108']
Exploring Operation: 78+108=186, Resulting Numbers: [186]
186,85 unequal: No Solution
Exploring Operation: 108-78=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 78*108=8424, Resulting Numbers: [8424]
8424,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 85:[10, 26, 14], Operations: ['92-78=14']
Exploring Operation: 26-10=16, Resulting Numbers: [14, 16]
Generated Node #0,3,0: 85:[14, 16] Operation: 26-10=16
Exploring Operation: 26-14=12, Resulting Numbers: [10, 12]
Generated Node #0,3,1: 85:[10, 12] Operation: 26-14=12
Exploring Operation: 10+14=24, Resulting Numbers: [26, 24]
Generated Node #0,3,2: 85:[26, 24] Operation: 10+14=24
Exploring Operation: 14-10=4, Resulting Numbers: [26, 4]
Generated Node #0,3,3: 85:[26, 4] Operation: 14-10=4
Moving to Node #0,1
Current State: 85:[26, 78, 82], Operations: ['92-10=82']
Exploring Operation: 26+78=104, Resulting Numbers: [82, 104]
Generated Node #0,1,0: 85:[82, 104] Operation: 26+78=104
Exploring Operation: 78/26=3, Resulting Numbers: [82, 3]
Generated Node #0,1,1: 85:[82, 3] Operation: 78/26=3
Exploring Operation: 26+82=108, Resulting Numbers: [78, 108]
Generated Node #0,1,2: 85:[78, 108] Operation: 26+82=108
Exploring Operation: 82-78=4, Resulting Numbers: [26, 4]
Generated Node #0,1,3: 85:[26, 4] Operation: 82-78=4
Moving to Node #0,3,0
Current State: 85:[14, 16], Operations: ['92-78=14', '26-10=16']
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,85 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[3, 82], Operations: ['78/26=3', '92-10=82']
Exploring Operation: 3*82=246, Resulting Numbers: [246]
246,85 unequal: No Solution
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[10, 92, 26, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [10, 92, 3]
Generated Node #0,0: 85:[10, 92, 3] Operation: 78/26=3
Moving to Node #0,0
Current State: 85:[10, 92, 3], Operations: ['78/26=3']
Exploring Operation: 92-10=82, Resulting Numbers: [3, 82]
Generated Node #0,0,1: 85:[3, 82] Operation: 92-10=82
Moving to Node #0,0,1
Current State: 85:[3, 82], Operations: ['78/26=3', '92-10=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 0.96441 | hs_4 | mult_heuristic |
[
56,
29,
32,
90
] | 54 | [
"90-32=58",
"58/29=2",
"56-2=54"
] | Current State: 54:[56, 29, 32, 90], Operations: []
Exploring Operation: 90-32=58, Resulting Numbers: [56, 29, 58]
Generated Node #2: [56, 29, 58] from Operation: 90-32=58
Current State: 54:[56, 29, 58], Operations: ['90-32=58']
Exploring Operation: 58/29=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 58/29=2
Current State: 54:[56, 2], Operations: ['90-32=58', '58/29=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[56, 29, 32, 90], Operations: []
Exploring Operation: 90-29=61, Resulting Numbers: [56, 32, 61]
Generated Node #0,0: 54:[56, 32, 61] Operation: 90-29=61
Exploring Operation: 90-56=34, Resulting Numbers: [29, 32, 34]
Generated Node #0,1: 54:[29, 32, 34] Operation: 90-56=34
Exploring Operation: 90-32=58, Resulting Numbers: [56, 29, 58]
Generated Node #0,2: 54:[56, 29, 58] Operation: 90-32=58
Moving to Node #0,2
Current State: 54:[56, 29, 58], Operations: ['90-32=58']
Exploring Operation: 58/29=2, Resulting Numbers: [56, 2]
Generated Node #0,2,0: 54:[56, 2] Operation: 58/29=2
Exploring Operation: 58-56=2, Resulting Numbers: [29, 2]
Generated Node #0,2,1: 54:[29, 2] Operation: 58-56=2
Exploring Operation: 56-29=27, Resulting Numbers: [58, 27]
Generated Node #0,2,2: 54:[58, 27] Operation: 56-29=27
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 54:[56, 2], Operations: ['90-32=58', '58/29=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[56, 29, 32, 90], Operations: []
Exploring Operation: 90-32=58, Resulting Numbers: [56, 29, 58]
Generated Node #0,2: 54:[56, 29, 58] Operation: 90-32=58
Moving to Node #0,2
Current State: 54:[56, 29, 58], Operations: ['90-32=58']
Exploring Operation: 58/29=2, Resulting Numbers: [56, 2]
Generated Node #0,2,0: 54:[56, 2] Operation: 58/29=2
Moving to Node #0,2,0
Current State: 54:[56, 2], Operations: ['90-32=58', '58/29=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
88,
8,
69,
59
] | 90 | [
"88-8=80",
"69-59=10",
"80+10=90"
] | Current State: 90:[88, 8, 69, 59], Operations: []
Exploring Operation: 88-8=80, Resulting Numbers: [69, 59, 80]
Generated Node #2: [69, 59, 80] from Operation: 88-8=80
Current State: 90:[69, 59, 80], Operations: ['88-8=80']
Exploring Operation: 69-59=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 69-59=10
Current State: 90:[80, 10], Operations: ['88-8=80', '69-59=10']
Exploring Operation: 80+10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[88, 8, 69, 59], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [8, 59, 19]
Generated Node #0,0: 90:[8, 59, 19] Operation: 88-69=19
Exploring Operation: 88-59=29, Resulting Numbers: [8, 69, 29]
Generated Node #0,1: 90:[8, 69, 29] Operation: 88-59=29
Exploring Operation: 69-59=10, Resulting Numbers: [88, 8, 10]
Generated Node #0,2: 90:[88, 8, 10] Operation: 69-59=10
Moving to Node #0,2
Current State: 90:[88, 8, 10], Operations: ['69-59=10']
Exploring Operation: 88/8=11, Resulting Numbers: [10, 11]
Generated Node #0,2,0: 90:[10, 11] Operation: 88/8=11
Exploring Operation: 8+10=18, Resulting Numbers: [88, 18]
Generated Node #0,2,1: 90:[88, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [88, 2]
Generated Node #0,2,2: 90:[88, 2] Operation: 10-8=2
Moving to Node #0,0
Current State: 90:[8, 59, 19], Operations: ['88-69=19']
Exploring Operation: 59+19=78, Resulting Numbers: [8, 78]
Generated Node #0,0,0: 90:[8, 78] Operation: 59+19=78
Exploring Operation: 59-19=40, Resulting Numbers: [8, 40]
Generated Node #0,0,1: 90:[8, 40] Operation: 59-19=40
Exploring Operation: 59-8=51, Resulting Numbers: [19, 51]
Generated Node #0,0,2: 90:[19, 51] Operation: 59-8=51
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[8, 40], Operations: ['88-69=19', '59-19=40']
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 90:[19, 51], Operations: ['88-69=19', '59-8=51']
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,90 unequal: No Solution
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,90 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,90 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:[8, 78], Operations: ['88-69=19', '59+19=78']
Exploring Operation: 8*78=624, Resulting Numbers: [624]
624,90 unequal: No Solution
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,90 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,90 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:[8, 69, 29], Operations: ['88-59=29']
Exploring Operation: 69-29=40, Resulting Numbers: [8, 40]
Generated Node #0,1,0: 90:[8, 40] Operation: 69-29=40
Exploring Operation: 69+29=98, Resulting Numbers: [8, 98]
Generated Node #0,1,1: 90:[8, 98] Operation: 69+29=98
Exploring Operation: 8+69=77, Resulting Numbers: [29, 77]
Generated Node #0,1,2: 90:[29, 77] Operation: 8+69=77
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[8, 40], Operations: ['88-59=29', '69-29=40']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[8, 98], Operations: ['88-59=29', '69+29=98']
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[88, 8, 69, 59], Operations: []
Exploring Operation: 88-59=29, Resulting Numbers: [8, 69, 29]
Generated Node #0,1: 90:[8, 69, 29] Operation: 88-59=29
Moving to Node #0,1
Current State: 90:[8, 69, 29], Operations: ['88-59=29']
Exploring Operation: 69+29=98, Resulting Numbers: [8, 98]
Generated Node #0,1,1: 90:[8, 98] Operation: 69+29=98
Moving to Node #0,1,1
Current State: 90:[8, 98], Operations: ['88-59=29', '69+29=98']
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | mult_heuristic |
[
28,
61,
98,
45
] | 86 | [
"61-28=33",
"98-45=53",
"33+53=86"
] | Current State: 86:[28, 61, 98, 45], Operations: []
Exploring Operation: 61-28=33, Resulting Numbers: [98, 45, 33]
Generated Node #2: [98, 45, 33] from Operation: 61-28=33
Current State: 86:[98, 45, 33], Operations: ['61-28=33']
Exploring Operation: 98-45=53, Resulting Numbers: [33, 53]
Generated Node #3: [33, 53] from Operation: 98-45=53
Current State: 86:[33, 53], Operations: ['61-28=33', '98-45=53']
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[28, 61, 98, 45], Operations: []
Exploring Operation: 98-28=70, Resulting Numbers: [61, 45, 70]
Generated Node #0,0: 86:[61, 45, 70] Operation: 98-28=70
Exploring Operation: 61-28=33, Resulting Numbers: [98, 45, 33]
Generated Node #0,1: 86:[98, 45, 33] Operation: 61-28=33
Exploring Operation: 98-61=37, Resulting Numbers: [28, 45, 37]
Generated Node #0,2: 86:[28, 45, 37] Operation: 98-61=37
Exploring Operation: 28+61=89, Resulting Numbers: [98, 45, 89]
Generated Node #0,3: 86:[98, 45, 89] Operation: 28+61=89
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[98, 45, 89], Operations: ['28+61=89']
Exploring Operation: 98-89=9, Resulting Numbers: [45, 9]
Generated Node #0,3,0: 86:[45, 9] Operation: 98-89=9
Exploring Operation: 89-45=44, Resulting Numbers: [98, 44]
Generated Node #0,3,1: 86:[98, 44] Operation: 89-45=44
Exploring Operation: 98-45=53, Resulting Numbers: [89, 53]
Generated Node #0,3,2: 86:[89, 53] Operation: 98-45=53
Exploring Operation: 98+45=143, Resulting Numbers: [89, 143]
Generated Node #0,3,3: 86:[89, 143] Operation: 98+45=143
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 86:[45, 9], Operations: ['28+61=89', '98-89=9']
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 45*9=405, Resulting Numbers: [405]
405,86 unequal: No Solution
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 86:[98, 44], Operations: ['28+61=89', '89-45=44']
Exploring Operation: 98-44=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 98+44=142, Resulting Numbers: [142]
142,86 unequal: No Solution
Exploring Operation: 98*44=4312, Resulting Numbers: [4312]
4312,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 86:[89, 53], Operations: ['28+61=89', '98-45=53']
Exploring Operation: 89*53=4717, Resulting Numbers: [4717]
4717,86 unequal: No Solution
Exploring Operation: 89+53=142, Resulting Numbers: [142]
142,86 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 86:[89, 143], Operations: ['28+61=89', '98+45=143']
Exploring Operation: 89+143=232, Resulting Numbers: [232]
232,86 unequal: No Solution
Exploring Operation: 89*143=12727, Resulting Numbers: [12727]
12727,86 unequal: No Solution
Exploring Operation: 143-89=54, Resulting Numbers: [54]
54,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[28, 45, 37], Operations: ['98-61=37']
Exploring Operation: 37-28=9, Resulting Numbers: [45, 9]
Generated Node #0,2,0: 86:[45, 9] Operation: 37-28=9
Exploring Operation: 45-28=17, Resulting Numbers: [37, 17]
Generated Node #0,2,1: 86:[37, 17] Operation: 45-28=17
Exploring Operation: 45+37=82, Resulting Numbers: [28, 82]
Generated Node #0,2,2: 86:[28, 82] Operation: 45+37=82
Exploring Operation: 28+45=73, Resulting Numbers: [37, 73]
Generated Node #0,2,3: 86:[37, 73] Operation: 28+45=73
Moving to Node #0,2,0
Current State: 86:[45, 9], Operations: ['98-61=37', '37-28=9']
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,86 unequal: No Solution
Exploring Operation: 45*9=405, Resulting Numbers: [405]
405,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[37, 73], Operations: ['98-61=37', '28+45=73']
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,86 unequal: No Solution
Exploring Operation: 37*73=2701, Resulting Numbers: [2701]
2701,86 unequal: No Solution
Exploring Operation: 37+73=110, Resulting Numbers: [110]
110,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[28, 82], Operations: ['98-61=37', '45+37=82']
Exploring Operation: 28+82=110, Resulting Numbers: [110]
110,86 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 28*82=2296, Resulting Numbers: [2296]
2296,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[37, 17], Operations: ['98-61=37', '45-28=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,86 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[98, 45, 33], Operations: ['61-28=33']
Exploring Operation: 45+33=78, Resulting Numbers: [98, 78]
Generated Node #0,1,0: 86:[98, 78] Operation: 45+33=78
Exploring Operation: 98-45=53, Resulting Numbers: [33, 53]
Generated Node #0,1,1: 86:[33, 53] Operation: 98-45=53
Exploring Operation: 98-33=65, Resulting Numbers: [45, 65]
Generated Node #0,1,2: 86:[45, 65] Operation: 98-33=65
Exploring Operation: 45-33=12, Resulting Numbers: [98, 12]
Generated Node #0,1,3: 86:[98, 12] Operation: 45-33=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[98, 78], Operations: ['61-28=33', '45+33=78']
Exploring Operation: 98+78=176, Resulting Numbers: [176]
176,86 unequal: No Solution
Exploring Operation: 98-78=20, Resulting Numbers: [20]
20,86 unequal: No Solution
Exploring Operation: 98*78=7644, Resulting Numbers: [7644]
7644,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[33, 53], Operations: ['61-28=33', '98-45=53']
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[28, 61, 98, 45], Operations: []
Exploring Operation: 61-28=33, Resulting Numbers: [98, 45, 33]
Generated Node #0,1: 86:[98, 45, 33] Operation: 61-28=33
Moving to Node #0,1
Current State: 86:[98, 45, 33], Operations: ['61-28=33']
Exploring Operation: 98-45=53, Resulting Numbers: [33, 53]
Generated Node #0,1,1: 86:[33, 53] Operation: 98-45=53
Moving to Node #0,1,1
Current State: 86:[33, 53], Operations: ['61-28=33', '98-45=53']
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.956597 | hs_4 | sum_heuristic |
[
78,
9,
89,
87
] | 89 | [
"78+9=87",
"89+87=176",
"176-87=89"
] | Current State: 89:[78, 9, 89, 87], Operations: []
Exploring Operation: 78+9=87, Resulting Numbers: [89, 87, 87]
Generated Node #2: [89, 87, 87] from Operation: 78+9=87
Current State: 89:[89, 87, 87], Operations: ['78+9=87']
Exploring Operation: 89+87=176, Resulting Numbers: [176]
176,89 equal: Goal Reached
Exploring Operation: 176-87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[78, 9, 89, 87], Operations: []
Exploring Operation: 78+9=87, Resulting Numbers: [89, 87, 87]
Generated Node #0,0: 89:[89, 87, 87] Operation: 78+9=87
Exploring Operation: 89-9=80, Resulting Numbers: [78, 87, 80]
Generated Node #0,1: 89:[78, 87, 80] Operation: 89-9=80
Exploring Operation: 9+89=98, Resulting Numbers: [78, 87, 98]
Generated Node #0,2: 89:[78, 87, 98] Operation: 9+89=98
Exploring Operation: 9+87=96, Resulting Numbers: [78, 89, 96]
Generated Node #0,3: 89:[78, 89, 96] Operation: 9+87=96
Exploring Operation: 78-9=69, Resulting Numbers: [89, 87, 69]
Generated Node #0,4: 89:[89, 87, 69] Operation: 78-9=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[89, 87, 87], Operations: ['78+9=87']
Exploring Operation: 89+87=176, Resulting Numbers: [87, 176]
Generated Node #0,0,0: 89:[87, 176] Operation: 89+87=176
Exploring Operation: 89-87=2, Resulting Numbers: [87, 2]
Generated Node #0,0,1: 89:[87, 2] Operation: 89-87=2
Exploring Operation: 87+87=174, Resulting Numbers: [89, 174]
Generated Node #0,0,2: 89:[89, 174] Operation: 87+87=174
Exploring Operation: 87/87=1, Resulting Numbers: [89, 1]
Generated Node #0,0,3: 89:[89, 1] Operation: 87/87=1
Exploring Operation: 89+87=176, Resulting Numbers: [87, 176]
Generated Node #0,0,4: 89:[87, 176] Operation: 89+87=176
Moving to Node #0,0,2
Current State: 89:[89, 174], Operations: ['78+9=87', '87+87=174']
Exploring Operation: 89+174=263, Resulting Numbers: [263]
263,89 unequal: No Solution
Exploring Operation: 89*174=15486, Resulting Numbers: [15486]
15486,89 unequal: No Solution
Exploring Operation: 174-89=85, Resulting Numbers: [85]
85,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[89, 1], Operations: ['78+9=87', '87/87=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[78, 9, 89, 87], Operations: []
Exploring Operation: 78+9=87, Resulting Numbers: [89, 87, 87]
Generated Node #0,0: 89:[89, 87, 87] Operation: 78+9=87
Moving to Node #0,0
Current State: 89:[89, 87, 87], Operations: ['78+9=87']
Exploring Operation: 87/87=1, Resulting Numbers: [89, 1]
Generated Node #0,0,3: 89:[89, 1] Operation: 87/87=1
Moving to Node #0,0,3
Current State: 89:[89, 1], Operations: ['78+9=87', '87/87=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
72,
51,
60,
2
] | 15 | [
"72+60=132",
"132/2=66",
"66-51=15"
] | Current State: 15:[72, 51, 60, 2], Operations: []
Exploring Operation: 72+60=132, Resulting Numbers: [51, 2, 132]
Generated Node #2: [51, 2, 132] from Operation: 72+60=132
Current State: 15:[51, 2, 132], Operations: ['72+60=132']
Exploring Operation: 132/2=66, Resulting Numbers: [51, 66]
Generated Node #3: [51, 66] from Operation: 132/2=66
Current State: 15:[51, 66], Operations: ['72+60=132', '132/2=66']
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[72, 51, 60, 2], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [60, 2, 21]
Generated Node #0,0: 15:[60, 2, 21] Operation: 72-51=21
Exploring Operation: 60-51=9, Resulting Numbers: [72, 2, 9]
Generated Node #0,1: 15:[72, 2, 9] Operation: 60-51=9
Exploring Operation: 72/2=36, Resulting Numbers: [51, 60, 36]
Generated Node #0,2: 15:[51, 60, 36] Operation: 72/2=36
Exploring Operation: 72-60=12, Resulting Numbers: [51, 2, 12]
Generated Node #0,3: 15:[51, 2, 12] Operation: 72-60=12
Moving to Node #0,3
Current State: 15:[51, 2, 12], Operations: ['72-60=12']
Exploring Operation: 2+12=14, Resulting Numbers: [51, 14]
Generated Node #0,3,0: 15:[51, 14] Operation: 2+12=14
Exploring Operation: 12/2=6, Resulting Numbers: [51, 6]
Generated Node #0,3,1: 15:[51, 6] Operation: 12/2=6
Exploring Operation: 51-2=49, Resulting Numbers: [12, 49]
Generated Node #0,3,2: 15:[12, 49] Operation: 51-2=49
Exploring Operation: 51-12=39, Resulting Numbers: [2, 39]
Generated Node #0,3,3: 15:[2, 39] Operation: 51-12=39
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[2, 39], Operations: ['72-60=12', '51-12=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,15 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 #0,3,0
Current State: 15:[51, 14], Operations: ['72-60=12', '2+12=14']
Exploring Operation: 51*14=714, Resulting Numbers: [714]
714,15 unequal: No Solution
Exploring Operation: 51+14=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,15 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 #0,3,1
Current State: 15:[51, 6], Operations: ['72-60=12', '12/2=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,15 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 #0,3,2
Current State: 15:[12, 49], Operations: ['72-60=12', '51-2=49']
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,15 unequal: No Solution
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,15 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: 15:[60, 2, 21], Operations: ['72-51=21']
Exploring Operation: 60-2=58, Resulting Numbers: [21, 58]
Generated Node #0,0,0: 15:[21, 58] Operation: 60-2=58
Exploring Operation: 21-2=19, Resulting Numbers: [60, 19]
Generated Node #0,0,1: 15:[60, 19] Operation: 21-2=19
Exploring Operation: 60/2=30, Resulting Numbers: [21, 30]
Generated Node #0,0,2: 15:[21, 30] Operation: 60/2=30
Exploring Operation: 60-21=39, Resulting Numbers: [2, 39]
Generated Node #0,0,3: 15:[2, 39] Operation: 60-21=39
Moving to Node #0,1
Current State: 15:[72, 2, 9], Operations: ['60-51=9']
Exploring Operation: 72-2=70, Resulting Numbers: [9, 70]
Generated Node #0,1,0: 15:[9, 70] Operation: 72-2=70
Exploring Operation: 72/9=8, Resulting Numbers: [2, 8]
Generated Node #0,1,1: 15:[2, 8] Operation: 72/9=8
Exploring Operation: 72/2=36, Resulting Numbers: [9, 36]
Generated Node #0,1,2: 15:[9, 36] Operation: 72/2=36
Exploring Operation: 72-9=63, Resulting Numbers: [2, 63]
Generated Node #0,1,3: 15:[2, 63] Operation: 72-9=63
Moving to Node #0,2
Current State: 15:[51, 60, 36], Operations: ['72/2=36']
Exploring Operation: 60-51=9, Resulting Numbers: [36, 9]
Generated Node #0,2,0: 15:[36, 9] Operation: 60-51=9
Exploring Operation: 51-36=15, Resulting Numbers: [60, 15]
Generated Node #0,2,1: 15:[60, 15] Operation: 51-36=15
Exploring Operation: 51+60=111, Resulting Numbers: [36, 111]
Generated Node #0,2,2: 15:[36, 111] Operation: 51+60=111
Exploring Operation: 60-36=24, Resulting Numbers: [51, 24]
Generated Node #0,2,3: 15:[51, 24] Operation: 60-36=24
Moving to Node #0,1,1
Current State: 15:[2, 8], Operations: ['60-51=9', '72/9=8']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[21, 30], Operations: ['72-51=21', '60/2=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,15 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[9, 36], Operations: ['60-51=9', '72/2=36']
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 9*36=324, Resulting Numbers: [324]
324,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[2, 39], Operations: ['72-51=21', '60-21=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,15 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[36, 9], Operations: ['72/2=36', '60-51=9']
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,15 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[51, 24], Operations: ['72/2=36', '60-36=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,15 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[60, 15], Operations: ['72/2=36', '51-36=15']
Exploring Operation: 60+15=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 60*15=900, Resulting Numbers: [900]
900,15 unequal: No Solution
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[2, 63], Operations: ['60-51=9', '72-9=63']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,15 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[21, 58], Operations: ['72-51=21', '60-2=58']
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[60, 19], Operations: ['72-51=21', '21-2=19']
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 60*19=1140, Resulting Numbers: [1140]
1140,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[9, 70], Operations: ['60-51=9', '72-2=70']
Exploring Operation: 9+70=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 9*70=630, Resulting Numbers: [630]
630,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[36, 111], Operations: ['72/2=36', '51+60=111']
Exploring Operation: 111-36=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 36*111=3996, Resulting Numbers: [3996]
3996,15 unequal: No Solution
Exploring Operation: 36+111=147, Resulting Numbers: [147]
147,15 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
83,
61,
16,
27
] | 33 | [
"83-61=22",
"27-16=11",
"22+11=33"
] | Current State: 33:[83, 61, 16, 27], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [16, 27, 22]
Generated Node #2: [16, 27, 22] from Operation: 83-61=22
Current State: 33:[16, 27, 22], Operations: ['83-61=22']
Exploring Operation: 27-16=11, Resulting Numbers: [22, 11]
Generated Node #3: [22, 11] from Operation: 27-16=11
Current State: 33:[22, 11], Operations: ['83-61=22', '27-16=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[83, 61, 16, 27], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [16, 27, 22]
Generated Node #0,0: 33:[16, 27, 22] Operation: 83-61=22
Moving to Node #0,0
Current State: 33:[16, 27, 22], Operations: ['83-61=22']
Exploring Operation: 27-22=5, Resulting Numbers: [16, 5]
Generated Node #0,0,0: 33:[16, 5] Operation: 27-22=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[16, 5], Operations: ['83-61=22', '27-22=5']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,33 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 |
[
91,
90,
3,
22
] | 67 | [
"91-90=1",
"3*22=66",
"1+66=67"
] | Current State: 67:[91, 90, 3, 22], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [3, 22, 1]
Generated Node #2: [3, 22, 1] from Operation: 91-90=1
Current State: 67:[3, 22, 1], Operations: ['91-90=1']
Exploring Operation: 3*22=66, Resulting Numbers: [1, 66]
Generated Node #3: [1, 66] from Operation: 3*22=66
Current State: 67:[1, 66], Operations: ['91-90=1', '3*22=66']
Exploring Operation: 1+66=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[91, 90, 3, 22], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [91, 90, 66]
Generated Node #0,0: 67:[91, 90, 66] Operation: 3*22=66
Exploring Operation: 91-3=88, Resulting Numbers: [90, 22, 88]
Generated Node #0,1: 67:[90, 22, 88] Operation: 91-3=88
Moving to Node #0,0
Current State: 67:[91, 90, 66], Operations: ['3*22=66']
Exploring Operation: 91-90=1, Resulting Numbers: [66, 1]
Generated Node #0,0,0: 67:[66, 1] Operation: 91-90=1
Exploring Operation: 91-66=25, Resulting Numbers: [90, 25]
Generated Node #0,0,1: 67:[90, 25] Operation: 91-66=25
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[90, 25], Operations: ['3*22=66', '91-66=25']
Exploring Operation: 90+25=115, Resulting Numbers: [115]
115,67 unequal: No Solution
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[66, 1], Operations: ['3*22=66', '91-90=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[91, 90, 3, 22], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [91, 90, 66]
Generated Node #0,0: 67:[91, 90, 66] Operation: 3*22=66
Moving to Node #0,0
Current State: 67:[91, 90, 66], Operations: ['3*22=66']
Exploring Operation: 91-90=1, Resulting Numbers: [66, 1]
Generated Node #0,0,0: 67:[66, 1] Operation: 91-90=1
Moving to Node #0,0,0
Current State: 67:[66, 1], Operations: ['3*22=66', '91-90=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
62,
8,
69,
21
] | 68 | [
"69-21=48",
"48/8=6",
"62+6=68"
] | Current State: 68:[62, 8, 69, 21], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [62, 8, 48]
Generated Node #2: [62, 8, 48] from Operation: 69-21=48
Current State: 68:[62, 8, 48], Operations: ['69-21=48']
Exploring Operation: 48/8=6, Resulting Numbers: [62, 6]
Generated Node #3: [62, 6] from Operation: 48/8=6
Current State: 68:[62, 6], Operations: ['69-21=48', '48/8=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[62, 8, 69, 21], Operations: []
Exploring Operation: 21-8=13, Resulting Numbers: [62, 69, 13]
Generated Node #0,0: 68:[62, 69, 13] Operation: 21-8=13
Exploring Operation: 62+8=70, Resulting Numbers: [69, 21, 70]
Generated Node #0,1: 68:[69, 21, 70] Operation: 62+8=70
Exploring Operation: 69-62=7, Resulting Numbers: [8, 21, 7]
Generated Node #0,2: 68:[8, 21, 7] Operation: 69-62=7
Exploring Operation: 62-21=41, Resulting Numbers: [8, 69, 41]
Generated Node #0,3: 68:[8, 69, 41] Operation: 62-21=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[69, 21, 70], Operations: ['62+8=70']
Exploring Operation: 70-69=1, Resulting Numbers: [21, 1]
Generated Node #0,1,0: 68:[21, 1] Operation: 70-69=1
Exploring Operation: 69+21=90, Resulting Numbers: [70, 90]
Generated Node #0,1,1: 68:[70, 90] Operation: 69+21=90
Exploring Operation: 69-21=48, Resulting Numbers: [70, 48]
Generated Node #0,1,2: 68:[70, 48] Operation: 69-21=48
Exploring Operation: 70-21=49, Resulting Numbers: [69, 49]
Generated Node #0,1,3: 68:[69, 49] Operation: 70-21=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[21, 1], Operations: ['62+8=70', '70-69=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 68:[70, 48], Operations: ['62+8=70', '69-21=48']
Exploring Operation: 70+48=118, Resulting Numbers: [118]
118,68 unequal: No Solution
Exploring Operation: 70*48=3360, Resulting Numbers: [3360]
3360,68 unequal: No Solution
Exploring Operation: 70-48=22, Resulting Numbers: [22]
22,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 68:[69, 49], Operations: ['62+8=70', '70-21=49']
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 69+49=118, Resulting Numbers: [118]
118,68 unequal: No Solution
Exploring Operation: 69*49=3381, Resulting Numbers: [3381]
3381,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[70, 90], Operations: ['62+8=70', '69+21=90']
Exploring Operation: 70+90=160, Resulting Numbers: [160]
160,68 unequal: No Solution
Exploring Operation: 70*90=6300, Resulting Numbers: [6300]
6300,68 unequal: No Solution
Exploring Operation: 90-70=20, Resulting Numbers: [20]
20,68 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: 68:[62, 69, 13], Operations: ['21-8=13']
Exploring Operation: 69-13=56, Resulting Numbers: [62, 56]
Generated Node #0,0,0: 68:[62, 56] Operation: 69-13=56
Exploring Operation: 69-62=7, Resulting Numbers: [13, 7]
Generated Node #0,0,1: 68:[13, 7] Operation: 69-62=7
Exploring Operation: 62+13=75, Resulting Numbers: [69, 75]
Generated Node #0,0,2: 68:[69, 75] Operation: 62+13=75
Exploring Operation: 62-13=49, Resulting Numbers: [69, 49]
Generated Node #0,0,3: 68:[69, 49] Operation: 62-13=49
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[13, 7], Operations: ['21-8=13', '69-62=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[69, 75], Operations: ['21-8=13', '62+13=75']
Exploring Operation: 69+75=144, Resulting Numbers: [144]
144,68 unequal: No Solution
Exploring Operation: 69*75=5175, Resulting Numbers: [5175]
5175,68 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 68:[69, 49], Operations: ['21-8=13', '62-13=49']
Exploring Operation: 69*49=3381, Resulting Numbers: [3381]
3381,68 unequal: No Solution
Exploring Operation: 69+49=118, Resulting Numbers: [118]
118,68 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[62, 56], Operations: ['21-8=13', '69-13=56']
Exploring Operation: 62*56=3472, Resulting Numbers: [3472]
3472,68 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Exploring Operation: 62+56=118, Resulting Numbers: [118]
118,68 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: 68:[8, 21, 7], Operations: ['69-62=7']
Exploring Operation: 21/7=3, Resulting Numbers: [8, 3]
Generated Node #0,2,0: 68:[8, 3] Operation: 21/7=3
Exploring Operation: 8-7=1, Resulting Numbers: [21, 1]
Generated Node #0,2,1: 68:[21, 1] Operation: 8-7=1
Exploring Operation: 21-8=13, Resulting Numbers: [7, 13]
Generated Node #0,2,2: 68:[7, 13] Operation: 21-8=13
Exploring Operation: 8+7=15, Resulting Numbers: [21, 15]
Generated Node #0,2,3: 68:[21, 15] Operation: 8+7=15
Moving to Node #0,2,0
Current State: 68:[8, 3], Operations: ['69-62=7', '21/7=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[21, 1], Operations: ['69-62=7', '8-7=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Moving to Node #0,2,3
Current State: 68:[21, 15], Operations: ['69-62=7', '8+7=15']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,68 unequal: No Solution
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[7, 13], Operations: ['69-62=7', '21-8=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 68:[8, 69, 41], Operations: ['62-21=41']
Exploring Operation: 41-8=33, Resulting Numbers: [69, 33]
Generated Node #0,3,0: 68:[69, 33] Operation: 41-8=33
Exploring Operation: 69-8=61, Resulting Numbers: [41, 61]
Generated Node #0,3,1: 68:[41, 61] Operation: 69-8=61
Exploring Operation: 69-41=28, Resulting Numbers: [8, 28]
Generated Node #0,3,2: 68:[8, 28] Operation: 69-41=28
Exploring Operation: 8+69=77, Resulting Numbers: [41, 77]
Generated Node #0,3,3: 68:[41, 77] Operation: 8+69=77
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 68:[69, 33], Operations: ['62-21=41', '41-8=33']
Exploring Operation: 69+33=102, Resulting Numbers: [102]
102,68 unequal: No Solution
Exploring Operation: 69*33=2277, Resulting Numbers: [2277]
2277,68 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 68:[8, 28], Operations: ['62-21=41', '69-41=28']
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,68 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 68:[41, 61], Operations: ['62-21=41', '69-8=61']
Exploring Operation: 41*61=2501, Resulting Numbers: [2501]
2501,68 unequal: No Solution
Exploring Operation: 61-41=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 41+61=102, Resulting Numbers: [102]
102,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 68:[41, 77], Operations: ['62-21=41', '8+69=77']
Exploring Operation: 41*77=3157, Resulting Numbers: [3157]
3157,68 unequal: No Solution
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 41+77=118, Resulting Numbers: [118]
118,68 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 |
[
38,
58,
88,
94
] | 44 | [
"38+58=96",
"96-94=2",
"88/2=44"
] | Current State: 44:[38, 58, 88, 94], Operations: []
Exploring Operation: 38+58=96, Resulting Numbers: [88, 94, 96]
Generated Node #2: [88, 94, 96] from Operation: 38+58=96
Current State: 44:[88, 94, 96], Operations: ['38+58=96']
Exploring Operation: 96-94=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 96-94=2
Current State: 44:[88, 2], Operations: ['38+58=96', '96-94=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[38, 58, 88, 94], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [38, 88, 36]
Generated Node #0,0: 44:[38, 88, 36] Operation: 94-58=36
Exploring Operation: 94-88=6, Resulting Numbers: [38, 58, 6]
Generated Node #0,1: 44:[38, 58, 6] Operation: 94-88=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[38, 58, 6], Operations: ['94-88=6']
Exploring Operation: 58-38=20, Resulting Numbers: [6, 20]
Generated Node #0,1,0: 44:[6, 20] Operation: 58-38=20
Exploring Operation: 38+6=44, Resulting Numbers: [58, 44]
Generated Node #0,1,1: 44:[58, 44] Operation: 38+6=44
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[6, 20], Operations: ['94-88=6', '58-38=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,44 unequal: No Solution
No 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: 44:[58, 44], Operations: ['94-88=6', '38+6=44']
Exploring Operation: 58+44=102, Resulting Numbers: [102]
102,44 unequal: No Solution
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[38, 88, 36], Operations: ['94-58=36']
Exploring Operation: 88-36=52, Resulting Numbers: [38, 52]
Generated Node #0,0,0: 44:[38, 52] Operation: 88-36=52
Exploring Operation: 88-38=50, Resulting Numbers: [36, 50]
Generated Node #0,0,1: 44:[36, 50] Operation: 88-38=50
Moving to Node #0,0,0
Current State: 44:[38, 52], Operations: ['94-58=36', '88-36=52']
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,44 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[36, 50], Operations: ['94-58=36', '88-38=50']
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 36+50=86, Resulting Numbers: [86]
86,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
13,
5,
15,
59
] | 27 | [
"15-13=2",
"59-5=54",
"54/2=27"
] | Current State: 27:[13, 5, 15, 59], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [5, 59, 2]
Generated Node #2: [5, 59, 2] from Operation: 15-13=2
Current State: 27:[5, 59, 2], Operations: ['15-13=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: ['15-13=2', '59-5=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[13, 5, 15, 59], Operations: []
Exploring Operation: 59-15=44, Resulting Numbers: [13, 5, 44]
Generated Node #0,0: 27:[13, 5, 44] Operation: 59-15=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[13, 5, 44], Operations: ['59-15=44']
Exploring Operation: 44-13=31, Resulting Numbers: [5, 31]
Generated Node #0,0,0: 27:[5, 31] Operation: 44-13=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[5, 31], Operations: ['59-15=44', '44-13=31']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,27 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
87,
92,
2,
16
] | 27 | [
"92-87=5",
"2*16=32",
"32-5=27"
] | Current State: 27:[87, 92, 2, 16], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [2, 16, 5]
Generated Node #2: [2, 16, 5] from Operation: 92-87=5
Current State: 27:[2, 16, 5], Operations: ['92-87=5']
Exploring Operation: 2*16=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 2*16=32
Current State: 27:[5, 32], Operations: ['92-87=5', '2*16=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[87, 92, 2, 16], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [87, 16, 46]
Generated Node #0,0: 27:[87, 16, 46] Operation: 92/2=46
Exploring Operation: 92-87=5, Resulting Numbers: [2, 16, 5]
Generated Node #0,1: 27:[2, 16, 5] Operation: 92-87=5
Exploring Operation: 87-16=71, Resulting Numbers: [92, 2, 71]
Generated Node #0,2: 27:[92, 2, 71] Operation: 87-16=71
Exploring Operation: 92-16=76, Resulting Numbers: [87, 2, 76]
Generated Node #0,3: 27:[87, 2, 76] Operation: 92-16=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[2, 16, 5], Operations: ['92-87=5']
Exploring Operation: 16-2=14, Resulting Numbers: [5, 14]
Generated Node #0,1,0: 27:[5, 14] Operation: 16-2=14
Exploring Operation: 16/2=8, Resulting Numbers: [5, 8]
Generated Node #0,1,1: 27:[5, 8] Operation: 16/2=8
Exploring Operation: 16-5=11, Resulting Numbers: [2, 11]
Generated Node #0,1,2: 27:[2, 11] Operation: 16-5=11
Exploring Operation: 2*16=32, Resulting Numbers: [5, 32]
Generated Node #0,1,3: 27:[5, 32] Operation: 2*16=32
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 27:[5, 8], Operations: ['92-87=5', '16/2=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,27 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:[2, 11], Operations: ['92-87=5', '16-5=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,27 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, 14], Operations: ['92-87=5', '16-2=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,27 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,27 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:[5, 32], Operations: ['92-87=5', '2*16=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[87, 92, 2, 16], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [2, 16, 5]
Generated Node #0,1: 27:[2, 16, 5] Operation: 92-87=5
Moving to Node #0,1
Current State: 27:[2, 16, 5], Operations: ['92-87=5']
Exploring Operation: 2*16=32, Resulting Numbers: [5, 32]
Generated Node #0,1,3: 27:[5, 32] Operation: 2*16=32
Moving to Node #0,1,3
Current State: 27:[5, 32], Operations: ['92-87=5', '2*16=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
3,
11,
43,
35
] | 92 | [
"3+11=14",
"43+35=78",
"14+78=92"
] | Current State: 92:[3, 11, 43, 35], Operations: []
Exploring Operation: 3+11=14, Resulting Numbers: [43, 35, 14]
Generated Node #2: [43, 35, 14] from Operation: 3+11=14
Current State: 92:[43, 35, 14], Operations: ['3+11=14']
Exploring Operation: 43+35=78, Resulting Numbers: [14, 78]
Generated Node #3: [14, 78] from Operation: 43+35=78
Current State: 92:[14, 78], Operations: ['3+11=14', '43+35=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[3, 11, 43, 35], Operations: []
Exploring Operation: 35-11=24, Resulting Numbers: [3, 43, 24]
Generated Node #0,0: 92:[3, 43, 24] Operation: 35-11=24
Exploring Operation: 11-3=8, Resulting Numbers: [43, 35, 8]
Generated Node #0,1: 92:[43, 35, 8] Operation: 11-3=8
Exploring Operation: 43-35=8, Resulting Numbers: [3, 11, 8]
Generated Node #0,2: 92:[3, 11, 8] Operation: 43-35=8
Exploring Operation: 3+43=46, Resulting Numbers: [11, 35, 46]
Generated Node #0,3: 92:[11, 35, 46] Operation: 3+43=46
Exploring Operation: 11+35=46, Resulting Numbers: [3, 43, 46]
Generated Node #0,4: 92:[3, 43, 46] Operation: 11+35=46
Moving to Node #0,4
Current State: 92:[3, 43, 46], Operations: ['11+35=46']
Exploring Operation: 43-3=40, Resulting Numbers: [46, 40]
Generated Node #0,4,0: 92:[46, 40] Operation: 43-3=40
Exploring Operation: 46-43=3, Resulting Numbers: [3, 3]
Generated Node #0,4,1: 92:[3, 3] Operation: 46-43=3
Exploring Operation: 3+46=49, Resulting Numbers: [43, 49]
Generated Node #0,4,2: 92:[43, 49] Operation: 3+46=49
Exploring Operation: 3+43=46, Resulting Numbers: [46, 46]
Generated Node #0,4,3: 92:[46, 46] Operation: 3+43=46
Exploring Operation: 43+46=89, Resulting Numbers: [3, 89]
Generated Node #0,4,4: 92:[3, 89] Operation: 43+46=89
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 92:[46, 46], Operations: ['11+35=46', '3+43=46']
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[3, 11, 43, 35], Operations: []
Exploring Operation: 11+35=46, Resulting Numbers: [3, 43, 46]
Generated Node #0,4: 92:[3, 43, 46] Operation: 11+35=46
Moving to Node #0,4
Current State: 92:[3, 43, 46], Operations: ['11+35=46']
Exploring Operation: 3+43=46, Resulting Numbers: [46, 46]
Generated Node #0,4,3: 92:[46, 46] Operation: 3+43=46
Moving to Node #0,4,3
Current State: 92:[46, 46], Operations: ['11+35=46', '3+43=46']
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
10,
4,
55,
82
] | 13 | [
"10+4=14",
"82-55=27",
"27-14=13"
] | Current State: 13:[10, 4, 55, 82], Operations: []
Exploring Operation: 10+4=14, Resulting Numbers: [55, 82, 14]
Generated Node #2: [55, 82, 14] from Operation: 10+4=14
Current State: 13:[55, 82, 14], Operations: ['10+4=14']
Exploring Operation: 82-55=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 82-55=27
Current State: 13:[14, 27], Operations: ['10+4=14', '82-55=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[10, 4, 55, 82], Operations: []
Exploring Operation: 55-10=45, Resulting Numbers: [4, 82, 45]
Generated Node #0,0: 13:[4, 82, 45] Operation: 55-10=45
Exploring Operation: 82-55=27, Resulting Numbers: [10, 4, 27]
Generated Node #0,1: 13:[10, 4, 27] Operation: 82-55=27
Moving to Node #0,1
Current State: 13:[10, 4, 27], Operations: ['82-55=27']
Exploring Operation: 27-4=23, Resulting Numbers: [10, 23]
Generated Node #0,1,0: 13:[10, 23] Operation: 27-4=23
Exploring Operation: 27-10=17, Resulting Numbers: [4, 17]
Generated Node #0,1,1: 13:[4, 17] Operation: 27-10=17
Moving to Node #0,0
Current State: 13:[4, 82, 45], Operations: ['55-10=45']
Exploring Operation: 82-45=37, Resulting Numbers: [4, 37]
Generated Node #0,0,0: 13:[4, 37] Operation: 82-45=37
Exploring Operation: 82-4=78, Resulting Numbers: [45, 78]
Generated Node #0,0,1: 13:[45, 78] Operation: 82-4=78
Moving to Node #0,1,0
Current State: 13:[10, 23], Operations: ['82-55=27', '27-4=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[10, 4, 55, 82], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [10, 4, 27]
Generated Node #0,1: 13:[10, 4, 27] Operation: 82-55=27
Moving to Node #0,1
Current State: 13:[10, 4, 27], Operations: ['82-55=27']
Exploring Operation: 27-4=23, Resulting Numbers: [10, 23]
Generated Node #0,1,0: 13:[10, 23] Operation: 27-4=23
Moving to Node #0,1,0
Current State: 13:[10, 23], Operations: ['82-55=27', '27-4=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
55,
95,
75,
21
] | 60 | [
"55+21=76",
"75*76=5700",
"5700/95=60"
] | Current State: 60:[55, 95, 75, 21], Operations: []
Exploring Operation: 55+21=76, Resulting Numbers: [95, 75, 76]
Generated Node #2: [95, 75, 76] from Operation: 55+21=76
Current State: 60:[95, 75, 76], Operations: ['55+21=76']
Exploring Operation: 75*76=5700, Resulting Numbers: [95, 5700]
Generated Node #3: [95, 5700] from Operation: 75*76=5700
Current State: 60:[95, 5700], Operations: ['55+21=76', '75*76=5700']
Exploring Operation: 5700/95=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[55, 95, 75, 21], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [55, 21, 20]
Generated Node #0,0: 60:[55, 21, 20] Operation: 95-75=20
Exploring Operation: 75-55=20, Resulting Numbers: [95, 21, 20]
Generated Node #0,1: 60:[95, 21, 20] Operation: 75-55=20
Exploring Operation: 95-21=74, Resulting Numbers: [55, 75, 74]
Generated Node #0,2: 60:[55, 75, 74] Operation: 95-21=74
Exploring Operation: 95-55=40, Resulting Numbers: [75, 21, 40]
Generated Node #0,3: 60:[75, 21, 40] Operation: 95-55=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[55, 21, 20], Operations: ['95-75=20']
Exploring Operation: 55-20=35, Resulting Numbers: [21, 35]
Generated Node #0,0,0: 60:[21, 35] Operation: 55-20=35
Exploring Operation: 21-20=1, Resulting Numbers: [55, 1]
Generated Node #0,0,1: 60:[55, 1] Operation: 21-20=1
Exploring Operation: 55+21=76, Resulting Numbers: [20, 76]
Generated Node #0,0,2: 60:[20, 76] Operation: 55+21=76
Exploring Operation: 55-21=34, Resulting Numbers: [20, 34]
Generated Node #0,0,3: 60:[20, 34] Operation: 55-21=34
Moving to Node #0,0,3
Current State: 60:[20, 34], Operations: ['95-75=20', '55-21=34']
Exploring Operation: 20*34=680, Resulting Numbers: [680]
680,60 unequal: No Solution
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 20+34=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[55, 1], Operations: ['95-75=20', '21-20=1']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,60 unequal: No Solution
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,60 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[21, 35], Operations: ['95-75=20', '55-20=35']
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,60 unequal: No Solution
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[20, 76], Operations: ['95-75=20', '55+21=76']
Exploring Operation: 20*76=1520, Resulting Numbers: [1520]
1520,60 unequal: No Solution
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 60:[75, 21, 40], Operations: ['95-55=40']
Exploring Operation: 40-21=19, Resulting Numbers: [75, 19]
Generated Node #0,3,0: 60:[75, 19] Operation: 40-21=19
Exploring Operation: 75-40=35, Resulting Numbers: [21, 35]
Generated Node #0,3,1: 60:[21, 35] Operation: 75-40=35
Exploring Operation: 75-21=54, Resulting Numbers: [40, 54]
Generated Node #0,3,2: 60:[40, 54] Operation: 75-21=54
Exploring Operation: 21+40=61, Resulting Numbers: [75, 61]
Generated Node #0,3,3: 60:[75, 61] Operation: 21+40=61
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 60:[21, 35], Operations: ['95-55=40', '75-40=35']
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 60:[75, 19], Operations: ['95-55=40', '40-21=19']
Exploring Operation: 75+19=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 75*19=1425, Resulting Numbers: [1425]
1425,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 60:[40, 54], Operations: ['95-55=40', '75-21=54']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,60 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 60:[75, 61], Operations: ['95-55=40', '21+40=61']
Exploring Operation: 75-61=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 75+61=136, Resulting Numbers: [136]
136,60 unequal: No Solution
Exploring Operation: 75*61=4575, Resulting Numbers: [4575]
4575,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[55, 75, 74], Operations: ['95-21=74']
Exploring Operation: 55+75=130, Resulting Numbers: [74, 130]
Generated Node #0,2,0: 60:[74, 130] Operation: 55+75=130
Exploring Operation: 75-55=20, Resulting Numbers: [74, 20]
Generated Node #0,2,1: 60:[74, 20] Operation: 75-55=20
Exploring Operation: 74-55=19, Resulting Numbers: [75, 19]
Generated Node #0,2,2: 60:[75, 19] Operation: 74-55=19
Exploring Operation: 75-74=1, Resulting Numbers: [55, 1]
Generated Node #0,2,3: 60:[55, 1] Operation: 75-74=1
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 60:[55, 1], Operations: ['95-21=74', '75-74=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,60 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[74, 20], Operations: ['95-21=74', '75-55=20']
Exploring Operation: 74*20=1480, Resulting Numbers: [1480]
1480,60 unequal: No Solution
Exploring Operation: 74+20=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[75, 19], Operations: ['95-21=74', '74-55=19']
Exploring Operation: 75+19=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 75*19=1425, Resulting Numbers: [1425]
1425,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[74, 130], Operations: ['95-21=74', '55+75=130']
Exploring Operation: 130-74=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 74*130=9620, Resulting Numbers: [9620]
9620,60 unequal: No Solution
Exploring Operation: 74+130=204, Resulting Numbers: [204]
204,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[95, 21, 20], Operations: ['75-55=20']
Exploring Operation: 21+20=41, Resulting Numbers: [95, 41]
Generated Node #0,1,0: 60:[95, 41] Operation: 21+20=41
Exploring Operation: 95-21=74, Resulting Numbers: [20, 74]
Generated Node #0,1,1: 60:[20, 74] Operation: 95-21=74
Exploring Operation: 95-20=75, Resulting Numbers: [21, 75]
Generated Node #0,1,2: 60:[21, 75] Operation: 95-20=75
Exploring Operation: 21-20=1, Resulting Numbers: [95, 1]
Generated Node #0,1,3: 60:[95, 1] Operation: 21-20=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[20, 74], Operations: ['75-55=20', '95-21=74']
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Exploring Operation: 20+74=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 20*74=1480, Resulting Numbers: [1480]
1480,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[21, 75], Operations: ['75-55=20', '95-20=75']
Exploring Operation: 21*75=1575, Resulting Numbers: [1575]
1575,60 unequal: No Solution
Exploring Operation: 21+75=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 60:[95, 1], Operations: ['75-55=20', '21-20=1']
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,60 unequal: No Solution
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,60 unequal: No Solution
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[95, 41], Operations: ['75-55=20', '21+20=41']
Exploring Operation: 95-41=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Exploring Operation: 95+41=136, Resulting Numbers: [136]
136,60 unequal: No Solution
Exploring Operation: 95*41=3895, Resulting Numbers: [3895]
3895,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
17,
15,
58,
57
] | 31 | [
"17+15=32",
"58-57=1",
"32-1=31"
] | Current State: 31:[17, 15, 58, 57], Operations: []
Exploring Operation: 17+15=32, Resulting Numbers: [58, 57, 32]
Generated Node #2: [58, 57, 32] from Operation: 17+15=32
Current State: 31:[58, 57, 32], Operations: ['17+15=32']
Exploring Operation: 58-57=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 58-57=1
Current State: 31:[32, 1], Operations: ['17+15=32', '58-57=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[17, 15, 58, 57], Operations: []
Exploring Operation: 58-17=41, Resulting Numbers: [15, 57, 41]
Generated Node #0,0: 31:[15, 57, 41] Operation: 58-17=41
Moving to Node #0,0
Current State: 31:[15, 57, 41], Operations: ['58-17=41']
Exploring Operation: 57-15=42, Resulting Numbers: [41, 42]
Generated Node #0,0,0: 31:[41, 42] Operation: 57-15=42
Moving to Node #0,0,0
Current State: 31:[41, 42], Operations: ['58-17=41', '57-15=42']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
62,
55,
11,
35
] | 22 | [
"62-35=27",
"55/11=5",
"27-5=22"
] | Current State: 22:[62, 55, 11, 35], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [55, 11, 27]
Generated Node #2: [55, 11, 27] from Operation: 62-35=27
Current State: 22:[55, 11, 27], Operations: ['62-35=27']
Exploring Operation: 55/11=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 55/11=5
Current State: 22:[27, 5], Operations: ['62-35=27', '55/11=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[62, 55, 11, 35], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [55, 11, 27]
Generated Node #0,0: 22:[55, 11, 27] Operation: 62-35=27
Exploring Operation: 62-55=7, Resulting Numbers: [11, 35, 7]
Generated Node #0,1: 22:[11, 35, 7] Operation: 62-55=7
Exploring Operation: 55-35=20, Resulting Numbers: [62, 11, 20]
Generated Node #0,2: 22:[62, 11, 20] Operation: 55-35=20
Moving to Node #0,1
Current State: 22:[11, 35, 7], Operations: ['62-55=7']
Exploring Operation: 35/7=5, Resulting Numbers: [11, 5]
Generated Node #0,1,0: 22:[11, 5] Operation: 35/7=5
Exploring Operation: 35-7=28, Resulting Numbers: [11, 28]
Generated Node #0,1,1: 22:[11, 28] Operation: 35-7=28
Exploring Operation: 35-11=24, Resulting Numbers: [7, 24]
Generated Node #0,1,2: 22:[7, 24] Operation: 35-11=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[11, 5], Operations: ['62-55=7', '35/7=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,22 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[11, 28], Operations: ['62-55=7', '35-7=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,22 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 22:[7, 24], Operations: ['62-55=7', '35-11=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,22 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 22:[55, 11, 27], Operations: ['62-35=27']
Exploring Operation: 55/11=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 22:[27, 5] Operation: 55/11=5
Exploring Operation: 55-27=28, Resulting Numbers: [11, 28]
Generated Node #0,0,1: 22:[11, 28] Operation: 55-27=28
Exploring Operation: 55-11=44, Resulting Numbers: [27, 44]
Generated Node #0,0,2: 22:[27, 44] Operation: 55-11=44
Moving to Node #0,2
Current State: 22:[62, 11, 20], Operations: ['55-35=20']
Exploring Operation: 20-11=9, Resulting Numbers: [62, 9]
Generated Node #0,2,0: 22:[62, 9] Operation: 20-11=9
Exploring Operation: 62-20=42, Resulting Numbers: [11, 42]
Generated Node #0,2,1: 22:[11, 42] Operation: 62-20=42
Exploring Operation: 62-11=51, Resulting Numbers: [20, 51]
Generated Node #0,2,2: 22:[20, 51] Operation: 62-11=51
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[11, 42], Operations: ['55-35=20', '62-20=42']
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,22 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[20, 51], Operations: ['55-35=20', '62-11=51']
Exploring Operation: 20+51=71, Resulting Numbers: [71]
71,22 unequal: No Solution
Exploring Operation: 20*51=1020, Resulting Numbers: [1020]
1020,22 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 22:[62, 9], Operations: ['55-35=20', '20-11=9']
Exploring Operation: 62*9=558, Resulting Numbers: [558]
558,22 unequal: No Solution
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,22 unequal: No Solution
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 22:[11, 28], Operations: ['62-35=27', '55-27=28']
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,22 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,22 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[27, 5], Operations: ['62-35=27', '55/11=5']
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[62, 55, 11, 35], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [55, 11, 27]
Generated Node #0,0: 22:[55, 11, 27] Operation: 62-35=27
Moving to Node #0,0
Current State: 22:[55, 11, 27], Operations: ['62-35=27']
Exploring Operation: 55/11=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 22:[27, 5] Operation: 55/11=5
Moving to Node #0,0,0
Current State: 22:[27, 5], Operations: ['62-35=27', '55/11=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.966146 | hs_3 | mult_heuristic |
[
65,
2,
62,
73
] | 52 | [
"65-2=63",
"73-62=11",
"63-11=52"
] | Current State: 52:[65, 2, 62, 73], Operations: []
Exploring Operation: 65-2=63, Resulting Numbers: [62, 73, 63]
Generated Node #2: [62, 73, 63] from Operation: 65-2=63
Current State: 52:[62, 73, 63], Operations: ['65-2=63']
Exploring Operation: 73-62=11, Resulting Numbers: [63, 11]
Generated Node #3: [63, 11] from Operation: 73-62=11
Current State: 52:[63, 11], Operations: ['65-2=63', '73-62=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[65, 2, 62, 73], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [2, 62, 8]
Generated Node #0,0: 52:[2, 62, 8] Operation: 73-65=8
Exploring Operation: 73-62=11, Resulting Numbers: [65, 2, 11]
Generated Node #0,1: 52:[65, 2, 11] Operation: 73-62=11
Exploring Operation: 65-2=63, Resulting Numbers: [62, 73, 63]
Generated Node #0,2: 52:[62, 73, 63] Operation: 65-2=63
Exploring Operation: 65-62=3, Resulting Numbers: [2, 73, 3]
Generated Node #0,3: 52:[2, 73, 3] Operation: 65-62=3
Exploring Operation: 62/2=31, Resulting Numbers: [65, 73, 31]
Generated Node #0,4: 52:[65, 73, 31] Operation: 62/2=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[2, 62, 8], Operations: ['73-65=8']
Exploring Operation: 62-8=54, Resulting Numbers: [2, 54]
Generated Node #0,0,0: 52:[2, 54] Operation: 62-8=54
Exploring Operation: 8-2=6, Resulting Numbers: [62, 6]
Generated Node #0,0,1: 52:[62, 6] Operation: 8-2=6
Exploring Operation: 62/2=31, Resulting Numbers: [8, 31]
Generated Node #0,0,2: 52:[8, 31] Operation: 62/2=31
Exploring Operation: 8/2=4, Resulting Numbers: [62, 4]
Generated Node #0,0,3: 52:[62, 4] Operation: 8/2=4
Exploring Operation: 62-2=60, Resulting Numbers: [8, 60]
Generated Node #0,0,4: 52:[8, 60] Operation: 62-2=60
Moving to Node #0,0,0
Current State: 52:[2, 54], Operations: ['73-65=8', '62-8=54']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[65, 2, 62, 73], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [2, 62, 8]
Generated Node #0,0: 52:[2, 62, 8] Operation: 73-65=8
Moving to Node #0,0
Current State: 52:[2, 62, 8], Operations: ['73-65=8']
Exploring Operation: 62-8=54, Resulting Numbers: [2, 54]
Generated Node #0,0,0: 52:[2, 54] Operation: 62-8=54
Moving to Node #0,0,0
Current State: 52:[2, 54], Operations: ['73-65=8', '62-8=54']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
44,
70,
96,
63
] | 61 | [
"44+96=140",
"140/70=2",
"63-2=61"
] | Current State: 61:[44, 70, 96, 63], Operations: []
Exploring Operation: 44+96=140, Resulting Numbers: [70, 63, 140]
Generated Node #2: [70, 63, 140] from Operation: 44+96=140
Current State: 61:[70, 63, 140], Operations: ['44+96=140']
Exploring Operation: 140/70=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 140/70=2
Current State: 61:[63, 2], Operations: ['44+96=140', '140/70=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[44, 70, 96, 63], Operations: []
Exploring Operation: 70-44=26, Resulting Numbers: [96, 63, 26]
Generated Node #0,0: 61:[96, 63, 26] Operation: 70-44=26
Exploring Operation: 96-70=26, Resulting Numbers: [44, 63, 26]
Generated Node #0,1: 61:[44, 63, 26] Operation: 96-70=26
Exploring Operation: 96-44=52, Resulting Numbers: [70, 63, 52]
Generated Node #0,2: 61:[70, 63, 52] Operation: 96-44=52
Exploring Operation: 96-63=33, Resulting Numbers: [44, 70, 33]
Generated Node #0,3: 61:[44, 70, 33] Operation: 96-63=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[70, 63, 52], Operations: ['96-44=52']
Exploring Operation: 70+52=122, Resulting Numbers: [63, 122]
Generated Node #0,2,0: 61:[63, 122] Operation: 70+52=122
Exploring Operation: 70-52=18, Resulting Numbers: [63, 18]
Generated Node #0,2,1: 61:[63, 18] Operation: 70-52=18
Exploring Operation: 70-63=7, Resulting Numbers: [52, 7]
Generated Node #0,2,2: 61:[52, 7] Operation: 70-63=7
Exploring Operation: 63-52=11, Resulting Numbers: [70, 11]
Generated Node #0,2,3: 61:[70, 11] Operation: 63-52=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[63, 18], Operations: ['96-44=52', '70-52=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,61 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 61:[70, 11], Operations: ['96-44=52', '63-52=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,61 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 61:[63, 122], Operations: ['96-44=52', '70+52=122']
Exploring Operation: 122-63=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 63+122=185, Resulting Numbers: [185]
185,61 unequal: No Solution
Exploring Operation: 63*122=7686, Resulting Numbers: [7686]
7686,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 61:[52, 7], Operations: ['96-44=52', '70-63=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,61 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,61 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[44, 63, 26], Operations: ['96-70=26']
Exploring Operation: 63+26=89, Resulting Numbers: [44, 89]
Generated Node #0,1,0: 61:[44, 89] Operation: 63+26=89
Exploring Operation: 63-26=37, Resulting Numbers: [44, 37]
Generated Node #0,1,1: 61:[44, 37] Operation: 63-26=37
Exploring Operation: 44-26=18, Resulting Numbers: [63, 18]
Generated Node #0,1,2: 61:[63, 18] Operation: 44-26=18
Exploring Operation: 44+26=70, Resulting Numbers: [63, 70]
Generated Node #0,1,3: 61:[63, 70] Operation: 44+26=70
Moving to Node #0,1,3
Current State: 61:[63, 70], Operations: ['96-70=26', '44+26=70']
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 63*70=4410, Resulting Numbers: [4410]
4410,61 unequal: No Solution
Exploring Operation: 63+70=133, Resulting Numbers: [133]
133,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[44, 37], Operations: ['96-70=26', '63-26=37']
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 44*37=1628, Resulting Numbers: [1628]
1628,61 unequal: No Solution
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[63, 18], Operations: ['96-70=26', '44-26=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,61 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[44, 89], Operations: ['96-70=26', '63+26=89']
Exploring Operation: 44+89=133, Resulting Numbers: [133]
133,61 unequal: No Solution
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Exploring Operation: 44*89=3916, Resulting Numbers: [3916]
3916,61 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 #0,3
Current State: 61:[44, 70, 33], Operations: ['96-63=33']
Exploring Operation: 44-33=11, Resulting Numbers: [70, 11]
Generated Node #0,3,0: 61:[70, 11] Operation: 44-33=11
Exploring Operation: 70-33=37, Resulting Numbers: [44, 37]
Generated Node #0,3,1: 61:[44, 37] Operation: 70-33=37
Exploring Operation: 44+33=77, Resulting Numbers: [70, 77]
Generated Node #0,3,2: 61:[70, 77] Operation: 44+33=77
Exploring Operation: 70+33=103, Resulting Numbers: [44, 103]
Generated Node #0,3,3: 61:[44, 103] Operation: 70+33=103
Moving to Node #0,3,2
Current State: 61:[70, 77], Operations: ['96-63=33', '44+33=77']
Exploring Operation: 70+77=147, Resulting Numbers: [147]
147,61 unequal: No Solution
Exploring Operation: 70*77=5390, Resulting Numbers: [5390]
5390,61 unequal: No Solution
Exploring Operation: 77-70=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[44, 37], Operations: ['96-63=33', '70-33=37']
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 44*37=1628, Resulting Numbers: [1628]
1628,61 unequal: No Solution
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[44, 103], Operations: ['96-63=33', '70+33=103']
Exploring Operation: 44*103=4532, Resulting Numbers: [4532]
4532,61 unequal: No Solution
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,61 unequal: No Solution
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[70, 11], Operations: ['96-63=33', '44-33=11']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,61 unequal: No Solution
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,61 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
Current State: 61:[96, 63, 26], Operations: ['70-44=26']
Exploring Operation: 96-26=70, Resulting Numbers: [63, 70]
Generated Node #0,0,0: 61:[63, 70] Operation: 96-26=70
Exploring Operation: 96-63=33, Resulting Numbers: [26, 33]
Generated Node #0,0,1: 61:[26, 33] Operation: 96-63=33
Exploring Operation: 63-26=37, Resulting Numbers: [96, 37]
Generated Node #0,0,2: 61:[96, 37] Operation: 63-26=37
Exploring Operation: 96+26=122, Resulting Numbers: [63, 122]
Generated Node #0,0,3: 61:[63, 122] Operation: 96+26=122
Moving to Node #0,0,0
Current State: 61:[63, 70], Operations: ['70-44=26', '96-26=70']
Exploring Operation: 63+70=133, Resulting Numbers: [133]
133,61 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 63*70=4410, Resulting Numbers: [4410]
4410,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[96, 37], Operations: ['70-44=26', '63-26=37']
Exploring Operation: 96-37=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 96*37=3552, Resulting Numbers: [3552]
3552,61 unequal: No Solution
Exploring Operation: 96+37=133, Resulting Numbers: [133]
133,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[63, 122], Operations: ['70-44=26', '96+26=122']
Exploring Operation: 122-63=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 63+122=185, Resulting Numbers: [185]
185,61 unequal: No Solution
Exploring Operation: 63*122=7686, Resulting Numbers: [7686]
7686,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[26, 33], Operations: ['70-44=26', '96-63=33']
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,61 unequal: No Solution
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
91,
26,
27,
2
] | 88 | [
"91+26=117",
"27+2=29",
"117-29=88"
] | Current State: 88:[91, 26, 27, 2], Operations: []
Exploring Operation: 91+26=117, Resulting Numbers: [27, 2, 117]
Generated Node #2: [27, 2, 117] from Operation: 91+26=117
Current State: 88:[27, 2, 117], Operations: ['91+26=117']
Exploring Operation: 27+2=29, Resulting Numbers: [117, 29]
Generated Node #3: [117, 29] from Operation: 27+2=29
Current State: 88:[117, 29], Operations: ['91+26=117', '27+2=29']
Exploring Operation: 117-29=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[91, 26, 27, 2], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [91, 2, 1]
Generated Node #0,0: 88:[91, 2, 1] Operation: 27-26=1
Exploring Operation: 91-2=89, Resulting Numbers: [26, 27, 89]
Generated Node #0,1: 88:[26, 27, 89] Operation: 91-2=89
Moving to Node #0,0
Current State: 88:[91, 2, 1], Operations: ['27-26=1']
Exploring Operation: 91-2=89, Resulting Numbers: [1, 89]
Generated Node #0,0,0: 88:[1, 89] Operation: 91-2=89
Exploring Operation: 91-1=90, Resulting Numbers: [2, 90]
Generated Node #0,0,1: 88:[2, 90] Operation: 91-1=90
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[1, 89], Operations: ['27-26=1', '91-2=89']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[91, 26, 27, 2], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [91, 2, 1]
Generated Node #0,0: 88:[91, 2, 1] Operation: 27-26=1
Moving to Node #0,0
Current State: 88:[91, 2, 1], Operations: ['27-26=1']
Exploring Operation: 91-2=89, Resulting Numbers: [1, 89]
Generated Node #0,0,0: 88:[1, 89] Operation: 91-2=89
Moving to Node #0,0,0
Current State: 88:[1, 89], Operations: ['27-26=1', '91-2=89']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
19,
34,
38,
80
] | 44 | [
"38/19=2",
"80-34=46",
"46-2=44"
] | Current State: 44:[19, 34, 38, 80], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [34, 80, 2]
Generated Node #2: [34, 80, 2] from Operation: 38/19=2
Current State: 44:[34, 80, 2], Operations: ['38/19=2']
Exploring Operation: 80-34=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 80-34=46
Current State: 44:[2, 46], Operations: ['38/19=2', '80-34=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[19, 34, 38, 80], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [34, 38, 61]
Generated Node #0,0: 44:[34, 38, 61] Operation: 80-19=61
Exploring Operation: 38-34=4, Resulting Numbers: [19, 80, 4]
Generated Node #0,1: 44:[19, 80, 4] Operation: 38-34=4
Exploring Operation: 34-19=15, Resulting Numbers: [38, 80, 15]
Generated Node #0,2: 44:[38, 80, 15] Operation: 34-19=15
Exploring Operation: 80-34=46, Resulting Numbers: [19, 38, 46]
Generated Node #0,3: 44:[19, 38, 46] Operation: 80-34=46
Exploring Operation: 80-38=42, Resulting Numbers: [19, 34, 42]
Generated Node #0,4: 44:[19, 34, 42] Operation: 80-38=42
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[19, 38, 46], Operations: ['80-34=46']
Exploring Operation: 38-19=19, Resulting Numbers: [46, 19]
Generated Node #0,3,0: 44:[46, 19] Operation: 38-19=19
Exploring Operation: 46-19=27, Resulting Numbers: [38, 27]
Generated Node #0,3,1: 44:[38, 27] Operation: 46-19=27
Exploring Operation: 38/19=2, Resulting Numbers: [46, 2]
Generated Node #0,3,2: 44:[46, 2] Operation: 38/19=2
Exploring Operation: 46-38=8, Resulting Numbers: [19, 8]
Generated Node #0,3,3: 44:[19, 8] Operation: 46-38=8
Exploring Operation: 19+38=57, Resulting Numbers: [46, 57]
Generated Node #0,3,4: 44:[46, 57] Operation: 19+38=57
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 44:[46, 2], Operations: ['80-34=46', '38/19=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[19, 34, 38, 80], Operations: []
Exploring Operation: 80-34=46, Resulting Numbers: [19, 38, 46]
Generated Node #0,3: 44:[19, 38, 46] Operation: 80-34=46
Moving to Node #0,3
Current State: 44:[19, 38, 46], Operations: ['80-34=46']
Exploring Operation: 38/19=2, Resulting Numbers: [46, 2]
Generated Node #0,3,2: 44:[46, 2] Operation: 38/19=2
Moving to Node #0,3,2
Current State: 44:[46, 2], Operations: ['80-34=46', '38/19=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
31,
13,
54,
71
] | 61 | [
"31+13=44",
"71-54=17",
"44+17=61"
] | Current State: 61:[31, 13, 54, 71], Operations: []
Exploring Operation: 31+13=44, Resulting Numbers: [54, 71, 44]
Generated Node #2: [54, 71, 44] from Operation: 31+13=44
Current State: 61:[54, 71, 44], Operations: ['31+13=44']
Exploring Operation: 71-54=17, Resulting Numbers: [44, 17]
Generated Node #3: [44, 17] from Operation: 71-54=17
Current State: 61:[44, 17], Operations: ['31+13=44', '71-54=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[31, 13, 54, 71], Operations: []
Exploring Operation: 31+13=44, Resulting Numbers: [54, 71, 44]
Generated Node #0,0: 61:[54, 71, 44] Operation: 31+13=44
Exploring Operation: 71-13=58, Resulting Numbers: [31, 54, 58]
Generated Node #0,1: 61:[31, 54, 58] Operation: 71-13=58
Exploring Operation: 13+54=67, Resulting Numbers: [31, 71, 67]
Generated Node #0,2: 61:[31, 71, 67] Operation: 13+54=67
Moving to Node #0,0
Current State: 61:[54, 71, 44], Operations: ['31+13=44']
Exploring Operation: 71-44=27, Resulting Numbers: [54, 27]
Generated Node #0,0,0: 61:[54, 27] Operation: 71-44=27
Exploring Operation: 54+44=98, Resulting Numbers: [71, 98]
Generated Node #0,0,1: 61:[71, 98] Operation: 54+44=98
Exploring Operation: 71-54=17, Resulting Numbers: [44, 17]
Generated Node #0,0,2: 61:[44, 17] Operation: 71-54=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[54, 27], Operations: ['31+13=44', '71-44=27']
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,61 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:[71, 98], Operations: ['31+13=44', '54+44=98']
Exploring Operation: 71+98=169, Resulting Numbers: [169]
169,61 unequal: No Solution
Exploring Operation: 71*98=6958, Resulting Numbers: [6958]
6958,61 unequal: No Solution
Exploring Operation: 98-71=27, Resulting Numbers: [27]
27,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[44, 17], Operations: ['31+13=44', '71-54=17']
Exploring Operation: 44*17=748, Resulting Numbers: [748]
748,61 unequal: No Solution
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[31, 13, 54, 71], Operations: []
Exploring Operation: 31+13=44, Resulting Numbers: [54, 71, 44]
Generated Node #0,0: 61:[54, 71, 44] Operation: 31+13=44
Moving to Node #0,0
Current State: 61:[54, 71, 44], Operations: ['31+13=44']
Exploring Operation: 71-54=17, Resulting Numbers: [44, 17]
Generated Node #0,0,2: 61:[44, 17] Operation: 71-54=17
Moving to Node #0,0,2
Current State: 61:[44, 17], Operations: ['31+13=44', '71-54=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
24,
60,
42,
8
] | 84 | [
"42-24=18",
"8*18=144",
"144-60=84"
] | Current State: 84:[24, 60, 42, 8], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [60, 8, 18]
Generated Node #2: [60, 8, 18] from Operation: 42-24=18
Current State: 84:[60, 8, 18], Operations: ['42-24=18']
Exploring Operation: 8*18=144, Resulting Numbers: [60, 144]
Generated Node #3: [60, 144] from Operation: 8*18=144
Current State: 84:[60, 144], Operations: ['42-24=18', '8*18=144']
Exploring Operation: 144-60=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[24, 60, 42, 8], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [24, 8, 18]
Generated Node #0,0: 84:[24, 8, 18] Operation: 60-42=18
Exploring Operation: 24+60=84, Resulting Numbers: [42, 8, 84]
Generated Node #0,1: 84:[42, 8, 84] Operation: 24+60=84
Exploring Operation: 60-24=36, Resulting Numbers: [42, 8, 36]
Generated Node #0,2: 84:[42, 8, 36] Operation: 60-24=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[42, 8, 84], Operations: ['24+60=84']
Exploring Operation: 84-42=42, Resulting Numbers: [8, 42]
Generated Node #0,1,0: 84:[8, 42] Operation: 84-42=42
Exploring Operation: 42-8=34, Resulting Numbers: [84, 34]
Generated Node #0,1,1: 84:[84, 34] Operation: 42-8=34
Exploring Operation: 84/42=2, Resulting Numbers: [8, 2]
Generated Node #0,1,2: 84:[8, 2] Operation: 84/42=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[8, 42], Operations: ['24+60=84', '84-42=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,84 unequal: No Solution
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 84:[8, 2], Operations: ['24+60=84', '84/42=2']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[84, 34], Operations: ['24+60=84', '42-8=34']
Exploring Operation: 84+34=118, Resulting Numbers: [118]
118,84 unequal: No Solution
Exploring Operation: 84*34=2856, Resulting Numbers: [2856]
2856,84 unequal: No Solution
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[24, 8, 18], Operations: ['60-42=18']
Exploring Operation: 24/8=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 84:[18, 3] Operation: 24/8=3
Exploring Operation: 24+18=42, Resulting Numbers: [8, 42]
Generated Node #0,0,1: 84:[8, 42] Operation: 24+18=42
Exploring Operation: 24-18=6, Resulting Numbers: [8, 6]
Generated Node #0,0,2: 84:[8, 6] Operation: 24-18=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[8, 42], Operations: ['60-42=18', '24+18=42']
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,84 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 84:[8, 6], Operations: ['60-42=18', '24-18=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,84 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[18, 3], Operations: ['60-42=18', '24/8=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[42, 8, 36], Operations: ['60-24=36']
Exploring Operation: 8+36=44, Resulting Numbers: [42, 44]
Generated Node #0,2,0: 84:[42, 44] Operation: 8+36=44
Exploring Operation: 42-36=6, Resulting Numbers: [8, 6]
Generated Node #0,2,1: 84:[8, 6] Operation: 42-36=6
Exploring Operation: 36-8=28, Resulting Numbers: [42, 28]
Generated Node #0,2,2: 84:[42, 28] Operation: 36-8=28
Moving to Node #0,2,2
Current State: 84:[42, 28], Operations: ['60-24=36', '36-8=28']
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,84 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[8, 6], Operations: ['60-24=36', '42-36=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[42, 44], Operations: ['60-24=36', '8+36=44']
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,84 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,84 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 |
[
53,
30,
79,
99
] | 40 | [
"53+79=132",
"30*132=3960",
"3960/99=40"
] | Current State: 40:[53, 30, 79, 99], Operations: []
Exploring Operation: 53+79=132, Resulting Numbers: [30, 99, 132]
Generated Node #2: [30, 99, 132] from Operation: 53+79=132
Current State: 40:[30, 99, 132], Operations: ['53+79=132']
Exploring Operation: 30*132=3960, Resulting Numbers: [99, 3960]
Generated Node #3: [99, 3960] from Operation: 30*132=3960
Current State: 40:[99, 3960], Operations: ['53+79=132', '30*132=3960']
Exploring Operation: 3960/99=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[53, 30, 79, 99], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [30, 79, 46]
Generated Node #0,0: 40:[30, 79, 46] Operation: 99-53=46
Exploring Operation: 99-79=20, Resulting Numbers: [53, 30, 20]
Generated Node #0,1: 40:[53, 30, 20] Operation: 99-79=20
Exploring Operation: 79-30=49, Resulting Numbers: [53, 99, 49]
Generated Node #0,2: 40:[53, 99, 49] Operation: 79-30=49
Exploring Operation: 79-53=26, Resulting Numbers: [30, 99, 26]
Generated Node #0,3: 40:[30, 99, 26] Operation: 79-53=26
Moving to Node #0,1
Current State: 40:[53, 30, 20], Operations: ['99-79=20']
Exploring Operation: 30-20=10, Resulting Numbers: [53, 10]
Generated Node #0,1,0: 40:[53, 10] Operation: 30-20=10
Exploring Operation: 53-20=33, Resulting Numbers: [30, 33]
Generated Node #0,1,1: 40:[30, 33] Operation: 53-20=33
Exploring Operation: 30+20=50, Resulting Numbers: [53, 50]
Generated Node #0,1,2: 40:[53, 50] Operation: 30+20=50
Exploring Operation: 53-30=23, Resulting Numbers: [20, 23]
Generated Node #0,1,3: 40:[20, 23] Operation: 53-30=23
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 40:[20, 23], Operations: ['99-79=20', '53-30=23']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,40 unequal: No Solution
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[53, 10], Operations: ['99-79=20', '30-20=10']
Exploring Operation: 53*10=530, Resulting Numbers: [530]
530,40 unequal: No Solution
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,40 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:[30, 33], Operations: ['99-79=20', '53-20=33']
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,40 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,40 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:[53, 50], Operations: ['99-79=20', '30+20=50']
Exploring Operation: 53*50=2650, Resulting Numbers: [2650]
2650,40 unequal: No Solution
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 53+50=103, Resulting Numbers: [103]
103,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 40:[30, 79, 46], Operations: ['99-53=46']
Exploring Operation: 30+79=109, Resulting Numbers: [46, 109]
Generated Node #0,0,0: 40:[46, 109] Operation: 30+79=109
Exploring Operation: 79-30=49, Resulting Numbers: [46, 49]
Generated Node #0,0,1: 40:[46, 49] Operation: 79-30=49
Exploring Operation: 79-46=33, Resulting Numbers: [30, 33]
Generated Node #0,0,2: 40:[30, 33] Operation: 79-46=33
Exploring Operation: 46-30=16, Resulting Numbers: [79, 16]
Generated Node #0,0,3: 40:[79, 16] Operation: 46-30=16
Moving to Node #0,3
Current State: 40:[30, 99, 26], Operations: ['79-53=26']
Exploring Operation: 30+26=56, Resulting Numbers: [99, 56]
Generated Node #0,3,0: 40:[99, 56] Operation: 30+26=56
Exploring Operation: 99-26=73, Resulting Numbers: [30, 73]
Generated Node #0,3,1: 40:[30, 73] Operation: 99-26=73
Exploring Operation: 99-30=69, Resulting Numbers: [26, 69]
Generated Node #0,3,2: 40:[26, 69] Operation: 99-30=69
Exploring Operation: 30-26=4, Resulting Numbers: [99, 4]
Generated Node #0,3,3: 40:[99, 4] Operation: 30-26=4
Moving to Node #0,2
Current State: 40:[53, 99, 49], Operations: ['79-30=49']
Exploring Operation: 53+99=152, Resulting Numbers: [49, 152]
Generated Node #0,2,0: 40:[49, 152] Operation: 53+99=152
Exploring Operation: 99-49=50, Resulting Numbers: [53, 50]
Generated Node #0,2,1: 40:[53, 50] Operation: 99-49=50
Exploring Operation: 53-49=4, Resulting Numbers: [99, 4]
Generated Node #0,2,2: 40:[99, 4] Operation: 53-49=4
Exploring Operation: 99-53=46, Resulting Numbers: [49, 46]
Generated Node #0,2,3: 40:[49, 46] Operation: 99-53=46
Moving to Node #0,0,1
Current State: 40:[46, 49], Operations: ['99-53=46', '79-30=49']
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Exploring Operation: 46*49=2254, Resulting Numbers: [2254]
2254,40 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[49, 46], Operations: ['79-30=49', '99-53=46']
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[30, 33], Operations: ['99-53=46', '79-46=33']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[53, 50], Operations: ['79-30=49', '99-49=50']
Exploring Operation: 53*50=2650, Resulting Numbers: [2650]
2650,40 unequal: No Solution
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 53+50=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[26, 69], Operations: ['79-53=26', '99-30=69']
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,40 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[79, 16], Operations: ['99-53=46', '46-30=16']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Exploring Operation: 79*16=1264, Resulting Numbers: [1264]
1264,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[30, 73], Operations: ['79-53=26', '99-26=73']
Exploring Operation: 30+73=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 30*73=2190, Resulting Numbers: [2190]
2190,40 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[99, 4], Operations: ['79-53=26', '30-26=4']
Exploring Operation: 99*4=396, Resulting Numbers: [396]
396,40 unequal: No Solution
Exploring Operation: 99+4=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[99, 4], Operations: ['79-30=49', '53-49=4']
Exploring Operation: 99*4=396, Resulting Numbers: [396]
396,40 unequal: No Solution
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,40 unequal: No Solution
Exploring Operation: 99+4=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Moving to Node #0,3,0
Current State: 40:[99, 56], Operations: ['79-53=26', '30+26=56']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,40 unequal: No Solution
Exploring Operation: 99+56=155, Resulting Numbers: [155]
155,40 unequal: No Solution
Exploring Operation: 99*56=5544, Resulting Numbers: [5544]
5544,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[46, 109], Operations: ['99-53=46', '30+79=109']
Exploring Operation: 109-46=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Exploring Operation: 46+109=155, Resulting Numbers: [155]
155,40 unequal: No Solution
Exploring Operation: 46*109=5014, Resulting Numbers: [5014]
5014,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[49, 152], Operations: ['79-30=49', '53+99=152']
Exploring Operation: 49+152=201, Resulting Numbers: [201]
201,40 unequal: No Solution
Exploring Operation: 152-49=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 49*152=7448, Resulting Numbers: [7448]
7448,40 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
56,
94,
25,
73
] | 67 | [
"56+94=150",
"150/25=6",
"73-6=67"
] | Current State: 67:[56, 94, 25, 73], Operations: []
Exploring Operation: 56+94=150, Resulting Numbers: [25, 73, 150]
Generated Node #2: [25, 73, 150] from Operation: 56+94=150
Current State: 67:[25, 73, 150], Operations: ['56+94=150']
Exploring Operation: 150/25=6, Resulting Numbers: [73, 6]
Generated Node #3: [73, 6] from Operation: 150/25=6
Current State: 67:[73, 6], Operations: ['56+94=150', '150/25=6']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[56, 94, 25, 73], Operations: []
Exploring Operation: 94-25=69, Resulting Numbers: [56, 73, 69]
Generated Node #0,0: 67:[56, 73, 69] Operation: 94-25=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[56, 73, 69], Operations: ['94-25=69']
Exploring Operation: 73-56=17, Resulting Numbers: [69, 17]
Generated Node #0,0,0: 67:[69, 17] Operation: 73-56=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[69, 17], Operations: ['94-25=69', '73-56=17']
Exploring Operation: 69-17=52, Resulting Numbers: [52]
52,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
19,
36,
65
] | 77 | [
"19-16=3",
"36/3=12",
"65+12=77"
] | Current State: 77:[16, 19, 36, 65], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [36, 65, 3]
Generated Node #2: [36, 65, 3] from Operation: 19-16=3
Current State: 77:[36, 65, 3], Operations: ['19-16=3']
Exploring Operation: 36/3=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 36/3=12
Current State: 77:[65, 12], Operations: ['19-16=3', '36/3=12']
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[16, 19, 36, 65], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [16, 65, 17]
Generated Node #0,0: 77:[16, 65, 17] Operation: 36-19=17
Exploring Operation: 36-16=20, Resulting Numbers: [19, 65, 20]
Generated Node #0,1: 77:[19, 65, 20] Operation: 36-16=20
Exploring Operation: 16+65=81, Resulting Numbers: [19, 36, 81]
Generated Node #0,2: 77:[19, 36, 81] Operation: 16+65=81
Exploring Operation: 65-36=29, Resulting Numbers: [16, 19, 29]
Generated Node #0,3: 77:[16, 19, 29] Operation: 65-36=29
Moving to Node #0,0
Current State: 77:[16, 65, 17], Operations: ['36-19=17']
Exploring Operation: 17-16=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 77:[65, 1] Operation: 17-16=1
Exploring Operation: 65+17=82, Resulting Numbers: [16, 82]
Generated Node #0,0,1: 77:[16, 82] Operation: 65+17=82
Exploring Operation: 16+65=81, Resulting Numbers: [17, 81]
Generated Node #0,0,2: 77:[17, 81] Operation: 16+65=81
Exploring Operation: 65-16=49, Resulting Numbers: [17, 49]
Generated Node #0,0,3: 77:[17, 49] Operation: 65-16=49
Moving to Node #0,1
Current State: 77:[19, 65, 20], Operations: ['36-16=20']
Exploring Operation: 65-19=46, Resulting Numbers: [20, 46]
Generated Node #0,1,0: 77:[20, 46] Operation: 65-19=46
Exploring Operation: 65+20=85, Resulting Numbers: [19, 85]
Generated Node #0,1,1: 77:[19, 85] Operation: 65+20=85
Exploring Operation: 19+65=84, Resulting Numbers: [20, 84]
Generated Node #0,1,2: 77:[20, 84] Operation: 19+65=84
Exploring Operation: 20-19=1, Resulting Numbers: [65, 1]
Generated Node #0,1,3: 77:[65, 1] Operation: 20-19=1
Moving to Node #0,3
Current State: 77:[16, 19, 29], Operations: ['65-36=29']
Exploring Operation: 19+29=48, Resulting Numbers: [16, 48]
Generated Node #0,3,0: 77:[16, 48] Operation: 19+29=48
Exploring Operation: 19-16=3, Resulting Numbers: [29, 3]
Generated Node #0,3,1: 77:[29, 3] Operation: 19-16=3
Exploring Operation: 29-16=13, Resulting Numbers: [19, 13]
Generated Node #0,3,2: 77:[19, 13] Operation: 29-16=13
Exploring Operation: 29-19=10, Resulting Numbers: [16, 10]
Generated Node #0,3,3: 77:[16, 10] Operation: 29-19=10
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 77:[16, 10], Operations: ['65-36=29', '29-19=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,77 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,77 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 #0,3,2
Current State: 77:[19, 13], Operations: ['65-36=29', '29-16=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,77 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,77 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 #0,3,1
Current State: 77:[29, 3], Operations: ['65-36=29', '19-16=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,77 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 #0,3,0
Current State: 77:[16, 48], Operations: ['65-36=29', '19+29=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Exploring Operation: 16*48=768, Resulting Numbers: [768]
768,77 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: 77:[19, 36, 81], Operations: ['16+65=81']
Exploring Operation: 36-19=17, Resulting Numbers: [81, 17]
Generated Node #0,2,0: 77:[81, 17] Operation: 36-19=17
Exploring Operation: 19+36=55, Resulting Numbers: [81, 55]
Generated Node #0,2,1: 77:[81, 55] Operation: 19+36=55
Exploring Operation: 81-19=62, Resulting Numbers: [36, 62]
Generated Node #0,2,2: 77:[36, 62] Operation: 81-19=62
Exploring Operation: 81-36=45, Resulting Numbers: [19, 45]
Generated Node #0,2,3: 77:[19, 45] Operation: 81-36=45
Moving to Node #0,0,1
Current State: 77:[16, 82], Operations: ['36-19=17', '65+17=82']
Exploring Operation: 16*82=1312, Resulting Numbers: [1312]
1312,77 unequal: No Solution
Exploring Operation: 16+82=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[17, 81], Operations: ['36-19=17', '16+65=81']
Exploring Operation: 17*81=1377, Resulting Numbers: [1377]
1377,77 unequal: No Solution
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[81, 17], Operations: ['16+65=81', '36-19=17']
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 81*17=1377, Resulting Numbers: [1377]
1377,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[20, 84], Operations: ['36-16=20', '19+65=84']
Exploring Operation: 20*84=1680, Resulting Numbers: [1680]
1680,77 unequal: No Solution
Exploring Operation: 20+84=104, Resulting Numbers: [104]
104,77 unequal: No Solution
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[19, 85], Operations: ['36-16=20', '65+20=85']
Exploring Operation: 19+85=104, Resulting Numbers: [104]
104,77 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 19*85=1615, Resulting Numbers: [1615]
1615,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[65, 1], Operations: ['36-16=20', '20-19=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[65, 1], Operations: ['36-19=17', '17-16=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[81, 55], Operations: ['16+65=81', '19+36=55']
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,77 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,77 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[17, 49], Operations: ['36-19=17', '65-16=49']
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 17*49=833, Resulting Numbers: [833]
833,77 unequal: No Solution
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[20, 46], Operations: ['36-16=20', '65-19=46']
Exploring Operation: 20*46=920, Resulting Numbers: [920]
920,77 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 20+46=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[36, 62], Operations: ['16+65=81', '81-19=62']
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,77 unequal: No Solution
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,77 unequal: No Solution
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[19, 45], Operations: ['16+65=81', '81-36=45']
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,77 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,77 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
14,
24,
13,
31
] | 77 | [
"31-24=7",
"13*7=91",
"91-14=77"
] | Current State: 77:[14, 24, 13, 31], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [14, 13, 7]
Generated Node #2: [14, 13, 7] from Operation: 31-24=7
Current State: 77:[14, 13, 7], Operations: ['31-24=7']
Exploring Operation: 13*7=91, Resulting Numbers: [14, 91]
Generated Node #3: [14, 91] from Operation: 13*7=91
Current State: 77:[14, 91], Operations: ['31-24=7', '13*7=91']
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[14, 24, 13, 31], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [24, 13, 17]
Generated Node #0,0: 77:[24, 13, 17] Operation: 31-14=17
Exploring Operation: 24-14=10, Resulting Numbers: [13, 31, 10]
Generated Node #0,1: 77:[13, 31, 10] Operation: 24-14=10
Exploring Operation: 24-13=11, Resulting Numbers: [14, 31, 11]
Generated Node #0,2: 77:[14, 31, 11] Operation: 24-13=11
Exploring Operation: 31-24=7, Resulting Numbers: [14, 13, 7]
Generated Node #0,3: 77:[14, 13, 7] Operation: 31-24=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[14, 13, 7], Operations: ['31-24=7']
Exploring Operation: 14/7=2, Resulting Numbers: [13, 2]
Generated Node #0,3,0: 77:[13, 2] Operation: 14/7=2
Exploring Operation: 14-7=7, Resulting Numbers: [13, 7]
Generated Node #0,3,1: 77:[13, 7] Operation: 14-7=7
Exploring Operation: 13-7=6, Resulting Numbers: [14, 6]
Generated Node #0,3,2: 77:[14, 6] Operation: 13-7=6
Exploring Operation: 14-13=1, Resulting Numbers: [7, 1]
Generated Node #0,3,3: 77:[7, 1] Operation: 14-13=1
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 77:[13, 7], Operations: ['31-24=7', '14-7=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,77 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,77 unequal: No Solution
No 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: 77:[14, 6], Operations: ['31-24=7', '13-7=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,77 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,77 unequal: No Solution
No 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: 77:[7, 1], Operations: ['31-24=7', '14-13=1']
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No 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: 77:[13, 2], Operations: ['31-24=7', '14/7=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,77 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: 77:[24, 13, 17], Operations: ['31-14=17']
Exploring Operation: 24+13=37, Resulting Numbers: [17, 37]
Generated Node #0,0,0: 77:[17, 37] Operation: 24+13=37
Exploring Operation: 17-13=4, Resulting Numbers: [24, 4]
Generated Node #0,0,1: 77:[24, 4] Operation: 17-13=4
Exploring Operation: 24-17=7, Resulting Numbers: [13, 7]
Generated Node #0,0,2: 77:[13, 7] Operation: 24-17=7
Exploring Operation: 24-13=11, Resulting Numbers: [17, 11]
Generated Node #0,0,3: 77:[17, 11] Operation: 24-13=11
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 77:[13, 7], Operations: ['31-14=17', '24-17=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,77 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,77 unequal: No Solution
No 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: 77:[17, 11], Operations: ['31-14=17', '24-13=11']
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,77 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,77 unequal: No Solution
No 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: 77:[24, 4], Operations: ['31-14=17', '17-13=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,77 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,77 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,77 unequal: No Solution
No 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: 77:[17, 37], Operations: ['31-14=17', '24+13=37']
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,77 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,77 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: 77:[13, 31, 10], Operations: ['24-14=10']
Exploring Operation: 31-10=21, Resulting Numbers: [13, 21]
Generated Node #0,1,0: 77:[13, 21] Operation: 31-10=21
Exploring Operation: 31-13=18, Resulting Numbers: [10, 18]
Generated Node #0,1,1: 77:[10, 18] Operation: 31-13=18
Exploring Operation: 13-10=3, Resulting Numbers: [31, 3]
Generated Node #0,1,2: 77:[31, 3] Operation: 13-10=3
Exploring Operation: 13+10=23, Resulting Numbers: [31, 23]
Generated Node #0,1,3: 77:[31, 23] Operation: 13+10=23
Moving to Node #0,1,1
Current State: 77:[10, 18], Operations: ['24-14=10', '31-13=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[13, 21], Operations: ['24-14=10', '31-10=21']
Exploring Operation: 13*21=273, Resulting Numbers: [273]
273,77 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[31, 3], Operations: ['24-14=10', '13-10=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[31, 23], Operations: ['24-14=10', '13+10=23']
Exploring Operation: 31*23=713, Resulting Numbers: [713]
713,77 unequal: No Solution
Exploring Operation: 31+23=54, Resulting Numbers: [54]
54,77 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,77 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 #0,2
Current State: 77:[14, 31, 11], Operations: ['24-13=11']
Exploring Operation: 31-11=20, Resulting Numbers: [14, 20]
Generated Node #0,2,0: 77:[14, 20] Operation: 31-11=20
Exploring Operation: 14-11=3, Resulting Numbers: [31, 3]
Generated Node #0,2,1: 77:[31, 3] Operation: 14-11=3
Exploring Operation: 14+31=45, Resulting Numbers: [11, 45]
Generated Node #0,2,2: 77:[11, 45] Operation: 14+31=45
Exploring Operation: 31-14=17, Resulting Numbers: [11, 17]
Generated Node #0,2,3: 77:[11, 17] Operation: 31-14=17
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 77:[11, 17], Operations: ['24-13=11', '31-14=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,77 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No 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: 77:[14, 20], Operations: ['24-13=11', '31-11=20']
Exploring Operation: 14*20=280, Resulting Numbers: [280]
280,77 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No 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: 77:[31, 3], Operations: ['24-13=11', '14-11=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,77 unequal: No Solution
No 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: 77:[11, 45], Operations: ['24-13=11', '14+31=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,77 unequal: No Solution
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,77 unequal: No Solution
Exploring Operation: 11*45=495, Resulting Numbers: [495]
495,77 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 |
[
70,
94,
65,
84
] | 16 | [
"65*84=5460",
"5460/70=78",
"94-78=16"
] | Current State: 16:[70, 94, 65, 84], Operations: []
Exploring Operation: 65*84=5460, Resulting Numbers: [70, 94, 5460]
Generated Node #2: [70, 94, 5460] from Operation: 65*84=5460
Current State: 16:[70, 94, 5460], Operations: ['65*84=5460']
Exploring Operation: 5460/70=78, Resulting Numbers: [94, 78]
Generated Node #3: [94, 78] from Operation: 5460/70=78
Current State: 16:[94, 78], Operations: ['65*84=5460', '5460/70=78']
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[70, 94, 65, 84], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [70, 94, 19]
Generated Node #0,0: 16:[70, 94, 19] Operation: 84-65=19
Exploring Operation: 94-65=29, Resulting Numbers: [70, 84, 29]
Generated Node #0,1: 16:[70, 84, 29] Operation: 94-65=29
Exploring Operation: 84-70=14, Resulting Numbers: [94, 65, 14]
Generated Node #0,2: 16:[94, 65, 14] Operation: 84-70=14
Exploring Operation: 94-84=10, Resulting Numbers: [70, 65, 10]
Generated Node #0,3: 16:[70, 65, 10] Operation: 94-84=10
Exploring Operation: 94-70=24, Resulting Numbers: [65, 84, 24]
Generated Node #0,4: 16:[65, 84, 24] Operation: 94-70=24
Moving to Node #0,3
Current State: 16:[70, 65, 10], Operations: ['94-84=10']
Exploring Operation: 70-65=5, Resulting Numbers: [10, 5]
Generated Node #0,3,0: 16:[10, 5] Operation: 70-65=5
Exploring Operation: 70+10=80, Resulting Numbers: [65, 80]
Generated Node #0,3,1: 16:[65, 80] Operation: 70+10=80
Exploring Operation: 70/10=7, Resulting Numbers: [65, 7]
Generated Node #0,3,2: 16:[65, 7] Operation: 70/10=7
Exploring Operation: 70-10=60, Resulting Numbers: [65, 60]
Generated Node #0,3,3: 16:[65, 60] Operation: 70-10=60
Exploring Operation: 65-10=55, Resulting Numbers: [70, 55]
Generated Node #0,3,4: 16:[70, 55] Operation: 65-10=55
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 16:[10, 5], Operations: ['94-84=10', '70-65=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 16:[65, 7], Operations: ['94-84=10', '70/10=7']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,16 unequal: No Solution
Exploring Operation: 65*7=455, Resulting Numbers: [455]
455,16 unequal: No Solution
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 16:[65, 60], Operations: ['94-84=10', '70-10=60']
Exploring Operation: 65+60=125, Resulting Numbers: [125]
125,16 unequal: No Solution
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 65*60=3900, Resulting Numbers: [3900]
3900,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 16:[70, 55], Operations: ['94-84=10', '65-10=55']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 70*55=3850, Resulting Numbers: [3850]
3850,16 unequal: No Solution
Exploring Operation: 70+55=125, Resulting Numbers: [125]
125,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 16:[65, 80], Operations: ['94-84=10', '70+10=80']
Exploring Operation: 65*80=5200, Resulting Numbers: [5200]
5200,16 unequal: No Solution
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 65+80=145, Resulting Numbers: [145]
145,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 16:[65, 84, 24], Operations: ['94-70=24']
Exploring Operation: 84-65=19, Resulting Numbers: [24, 19]
Generated Node #0,4,0: 16:[24, 19] Operation: 84-65=19
Exploring Operation: 84-24=60, Resulting Numbers: [65, 60]
Generated Node #0,4,1: 16:[65, 60] Operation: 84-24=60
Exploring Operation: 65+24=89, Resulting Numbers: [84, 89]
Generated Node #0,4,2: 16:[84, 89] Operation: 65+24=89
Exploring Operation: 65-24=41, Resulting Numbers: [84, 41]
Generated Node #0,4,3: 16:[84, 41] Operation: 65-24=41
Exploring Operation: 65+84=149, Resulting Numbers: [24, 149]
Generated Node #0,4,4: 16:[24, 149] Operation: 65+84=149
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 16:[24, 19], Operations: ['94-70=24', '84-65=19']
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,16 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 16:[65, 60], Operations: ['94-70=24', '84-24=60']
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 65+60=125, Resulting Numbers: [125]
125,16 unequal: No Solution
Exploring Operation: 65*60=3900, Resulting Numbers: [3900]
3900,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 16:[84, 41], Operations: ['94-70=24', '65-24=41']
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,16 unequal: No Solution
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,16 unequal: No Solution
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 16:[84, 89], Operations: ['94-70=24', '65+24=89']
Exploring Operation: 84+89=173, Resulting Numbers: [173]
173,16 unequal: No Solution
Exploring Operation: 89-84=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 84*89=7476, Resulting Numbers: [7476]
7476,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 16:[24, 149], Operations: ['94-70=24', '65+84=149']
Exploring Operation: 24+149=173, Resulting Numbers: [173]
173,16 unequal: No Solution
Exploring Operation: 149-24=125, Resulting Numbers: [125]
125,16 unequal: No Solution
Exploring Operation: 24*149=3576, Resulting Numbers: [3576]
3576,16 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: 16:[94, 65, 14], Operations: ['84-70=14']
Exploring Operation: 94+14=108, Resulting Numbers: [65, 108]
Generated Node #0,2,0: 16:[65, 108] Operation: 94+14=108
Exploring Operation: 94-65=29, Resulting Numbers: [14, 29]
Generated Node #0,2,1: 16:[14, 29] Operation: 94-65=29
Exploring Operation: 94-14=80, Resulting Numbers: [65, 80]
Generated Node #0,2,2: 16:[65, 80] Operation: 94-14=80
Exploring Operation: 65+14=79, Resulting Numbers: [94, 79]
Generated Node #0,2,3: 16:[94, 79] Operation: 65+14=79
Exploring Operation: 65-14=51, Resulting Numbers: [94, 51]
Generated Node #0,2,4: 16:[94, 51] Operation: 65-14=51
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[14, 29], Operations: ['84-70=14', '94-65=29']
Exploring Operation: 14*29=406, Resulting Numbers: [406]
406,16 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[65, 80], Operations: ['84-70=14', '94-14=80']
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 65+80=145, Resulting Numbers: [145]
145,16 unequal: No Solution
Exploring Operation: 65*80=5200, Resulting Numbers: [5200]
5200,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 16:[94, 51], Operations: ['84-70=14', '65-14=51']
Exploring Operation: 94+51=145, Resulting Numbers: [145]
145,16 unequal: No Solution
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 94*51=4794, Resulting Numbers: [4794]
4794,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[65, 108], Operations: ['84-70=14', '94+14=108']
Exploring Operation: 65*108=7020, Resulting Numbers: [7020]
7020,16 unequal: No Solution
Exploring Operation: 108-65=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 65+108=173, Resulting Numbers: [173]
173,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 16:[94, 79], Operations: ['84-70=14', '65+14=79']
Exploring Operation: 94*79=7426, Resulting Numbers: [7426]
7426,16 unequal: No Solution
Exploring Operation: 94+79=173, Resulting Numbers: [173]
173,16 unequal: No Solution
Exploring Operation: 94-79=15, Resulting Numbers: [15]
15,16 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: 16:[70, 94, 19], Operations: ['84-65=19']
Exploring Operation: 70+94=164, Resulting Numbers: [19, 164]
Generated Node #0,0,0: 16:[19, 164] Operation: 70+94=164
Exploring Operation: 94-19=75, Resulting Numbers: [70, 75]
Generated Node #0,0,1: 16:[70, 75] Operation: 94-19=75
Exploring Operation: 94-70=24, Resulting Numbers: [19, 24]
Generated Node #0,0,2: 16:[19, 24] Operation: 94-70=24
Exploring Operation: 70+19=89, Resulting Numbers: [94, 89]
Generated Node #0,0,3: 16:[94, 89] Operation: 70+19=89
Exploring Operation: 70-19=51, Resulting Numbers: [94, 51]
Generated Node #0,0,4: 16:[94, 51] Operation: 70-19=51
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[19, 24], Operations: ['84-65=19', '94-70=24']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[70, 75], Operations: ['84-65=19', '94-19=75']
Exploring Operation: 70+75=145, Resulting Numbers: [145]
145,16 unequal: No Solution
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 70*75=5250, Resulting Numbers: [5250]
5250,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 16:[94, 51], Operations: ['84-65=19', '70-19=51']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 94+51=145, Resulting Numbers: [145]
145,16 unequal: No Solution
Exploring Operation: 94*51=4794, Resulting Numbers: [4794]
4794,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[19, 164], Operations: ['84-65=19', '70+94=164']
Exploring Operation: 19*164=3116, Resulting Numbers: [3116]
3116,16 unequal: No Solution
Exploring Operation: 164-19=145, Resulting Numbers: [145]
145,16 unequal: No Solution
Exploring Operation: 19+164=183, Resulting Numbers: [183]
183,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 16:[94, 89], Operations: ['84-65=19', '70+19=89']
Exploring Operation: 94-89=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 94+89=183, Resulting Numbers: [183]
183,16 unequal: No Solution
Exploring Operation: 94*89=8366, Resulting Numbers: [8366]
8366,16 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: 16:[70, 84, 29], Operations: ['94-65=29']
Exploring Operation: 84-70=14, Resulting Numbers: [29, 14]
Generated Node #0,1,0: 16:[29, 14] Operation: 84-70=14
Exploring Operation: 84-29=55, Resulting Numbers: [70, 55]
Generated Node #0,1,1: 16:[70, 55] Operation: 84-29=55
Exploring Operation: 70-29=41, Resulting Numbers: [84, 41]
Generated Node #0,1,2: 16:[84, 41] Operation: 70-29=41
Exploring Operation: 70+84=154, Resulting Numbers: [29, 154]
Generated Node #0,1,3: 16:[29, 154] Operation: 70+84=154
Exploring Operation: 70+29=99, Resulting Numbers: [84, 99]
Generated Node #0,1,4: 16:[84, 99] Operation: 70+29=99
Moving to Node #0,1,0
Current State: 16:[29, 14], Operations: ['94-65=29', '84-70=14']
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,16 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[84, 41], Operations: ['94-65=29', '70-29=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,16 unequal: No Solution
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[70, 55], Operations: ['94-65=29', '84-29=55']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 70*55=3850, Resulting Numbers: [3850]
3850,16 unequal: No Solution
Exploring Operation: 70+55=125, Resulting Numbers: [125]
125,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[29, 154], Operations: ['94-65=29', '70+84=154']
Exploring Operation: 154-29=125, Resulting Numbers: [125]
125,16 unequal: No Solution
Exploring Operation: 29+154=183, Resulting Numbers: [183]
183,16 unequal: No Solution
Exploring Operation: 29*154=4466, Resulting Numbers: [4466]
4466,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[84, 99], Operations: ['94-65=29', '70+29=99']
Exploring Operation: 84*99=8316, Resulting Numbers: [8316]
8316,16 unequal: No Solution
Exploring Operation: 84+99=183, Resulting Numbers: [183]
183,16 unequal: No Solution
Exploring Operation: 99-84=15, Resulting Numbers: [15]
15,16 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
7,
10,
18,
4
] | 28 | [
"18-10=8",
"8-4=4",
"7*4=28"
] | Current State: 28:[7, 10, 18, 4], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [7, 4, 8]
Generated Node #2: [7, 4, 8] from Operation: 18-10=8
Current State: 28:[7, 4, 8], Operations: ['18-10=8']
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 8-4=4
Current State: 28:[7, 4], Operations: ['18-10=8', '8-4=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[7, 10, 18, 4], Operations: []
Exploring Operation: 18-4=14, Resulting Numbers: [7, 10, 14]
Generated Node #0,0: 28:[7, 10, 14] Operation: 18-4=14
Exploring Operation: 10+18=28, Resulting Numbers: [7, 4, 28]
Generated Node #0,1: 28:[7, 4, 28] Operation: 10+18=28
Exploring Operation: 18-10=8, Resulting Numbers: [7, 4, 8]
Generated Node #0,2: 28:[7, 4, 8] Operation: 18-10=8
Exploring Operation: 10+4=14, Resulting Numbers: [7, 18, 14]
Generated Node #0,3: 28:[7, 18, 14] Operation: 10+4=14
Moving to Node #0,1
Current State: 28:[7, 4, 28], Operations: ['10+18=28']
Exploring Operation: 7-4=3, Resulting Numbers: [28, 3]
Generated Node #0,1,0: 28:[28, 3] Operation: 7-4=3
Exploring Operation: 7*4=28, Resulting Numbers: [28, 28]
Generated Node #0,1,1: 28:[28, 28] Operation: 7*4=28
Exploring Operation: 28/4=7, Resulting Numbers: [7, 7]
Generated Node #0,1,2: 28:[7, 7] Operation: 28/4=7
Exploring Operation: 28/7=4, Resulting Numbers: [4, 4]
Generated Node #0,1,3: 28:[4, 4] Operation: 28/7=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[28, 28], Operations: ['10+18=28', '7*4=28']
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,28 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,28 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 #0,1,2
Current State: 28:[7, 7], Operations: ['10+18=28', '28/4=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,28 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 #0,1,3
Current State: 28:[4, 4], Operations: ['10+18=28', '28/7=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[28, 3], Operations: ['10+18=28', '7-4=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,28 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 28:[7, 4, 8], Operations: ['18-10=8']
Exploring Operation: 7*4=28, Resulting Numbers: [8, 28]
Generated Node #0,2,0: 28:[8, 28] Operation: 7*4=28
Exploring Operation: 7+8=15, Resulting Numbers: [4, 15]
Generated Node #0,2,1: 28:[4, 15] Operation: 7+8=15
Exploring Operation: 8/4=2, Resulting Numbers: [7, 2]
Generated Node #0,2,2: 28:[7, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #0,2,3: 28:[7, 4] Operation: 8-4=4
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[7, 2], Operations: ['18-10=8', '8/4=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,28 unequal: No Solution
No 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: 28:[7, 4], Operations: ['18-10=8', '8-4=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[7, 10, 18, 4], Operations: []
Exploring Operation: 18-10=8, Resulting Numbers: [7, 4, 8]
Generated Node #0,2: 28:[7, 4, 8] Operation: 18-10=8
Moving to Node #0,2
Current State: 28:[7, 4, 8], Operations: ['18-10=8']
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #0,2,3: 28:[7, 4] Operation: 8-4=4
Moving to Node #0,2,3
Current State: 28:[7, 4], Operations: ['18-10=8', '8-4=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | mult_heuristic |
[
46,
13,
10,
53
] | 33 | [
"46+53=99",
"13-10=3",
"99/3=33"
] | Current State: 33:[46, 13, 10, 53], Operations: []
Exploring Operation: 46+53=99, Resulting Numbers: [13, 10, 99]
Generated Node #2: [13, 10, 99] from Operation: 46+53=99
Current State: 33:[13, 10, 99], Operations: ['46+53=99']
Exploring Operation: 13-10=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 13-10=3
Current State: 33:[99, 3], Operations: ['46+53=99', '13-10=3']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[46, 13, 10, 53], Operations: []
Exploring Operation: 46-10=36, Resulting Numbers: [13, 53, 36]
Generated Node #0,0: 33:[13, 53, 36] Operation: 46-10=36
Exploring Operation: 53-46=7, Resulting Numbers: [13, 10, 7]
Generated Node #0,1: 33:[13, 10, 7] Operation: 53-46=7
Exploring Operation: 53-13=40, Resulting Numbers: [46, 10, 40]
Generated Node #0,2: 33:[46, 10, 40] Operation: 53-13=40
Exploring Operation: 46-13=33, Resulting Numbers: [10, 53, 33]
Generated Node #0,3: 33:[10, 53, 33] Operation: 46-13=33
Exploring Operation: 53-10=43, Resulting Numbers: [46, 13, 43]
Generated Node #0,4: 33:[46, 13, 43] Operation: 53-10=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[13, 10, 7], Operations: ['53-46=7']
Exploring Operation: 13+7=20, Resulting Numbers: [10, 20]
Generated Node #0,1,0: 33:[10, 20] Operation: 13+7=20
Exploring Operation: 10-7=3, Resulting Numbers: [13, 3]
Generated Node #0,1,1: 33:[13, 3] Operation: 10-7=3
Exploring Operation: 10+7=17, Resulting Numbers: [13, 17]
Generated Node #0,1,2: 33:[13, 17] Operation: 10+7=17
Exploring Operation: 13-7=6, Resulting Numbers: [10, 6]
Generated Node #0,1,3: 33:[10, 6] Operation: 13-7=6
Exploring Operation: 13-10=3, Resulting Numbers: [7, 3]
Generated Node #0,1,4: 33:[7, 3] Operation: 13-10=3
Moving to Node #0,1,1
Current State: 33:[13, 3], Operations: ['53-46=7', '10-7=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Moving to Node #0,1,4
Current State: 33:[7, 3], Operations: ['53-46=7', '13-10=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[10, 6], Operations: ['53-46=7', '13-7=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[13, 17], Operations: ['53-46=7', '10+7=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[10, 20], Operations: ['53-46=7', '13+7=20']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,33 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,33 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
Current State: 33:[46, 10, 40], Operations: ['53-13=40']
Exploring Operation: 46-10=36, Resulting Numbers: [40, 36]
Generated Node #0,2,0: 33:[40, 36] Operation: 46-10=36
Exploring Operation: 40/10=4, Resulting Numbers: [46, 4]
Generated Node #0,2,1: 33:[46, 4] Operation: 40/10=4
Exploring Operation: 46-40=6, Resulting Numbers: [10, 6]
Generated Node #0,2,2: 33:[10, 6] Operation: 46-40=6
Exploring Operation: 46+10=56, Resulting Numbers: [40, 56]
Generated Node #0,2,3: 33:[40, 56] Operation: 46+10=56
Exploring Operation: 40-10=30, Resulting Numbers: [46, 30]
Generated Node #0,2,4: 33:[46, 30] Operation: 40-10=30
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[10, 6], Operations: ['53-13=40', '46-40=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No 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: 33:[40, 36], Operations: ['53-13=40', '46-10=36']
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,33 unequal: No Solution
No 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: 33:[46, 4], Operations: ['53-13=40', '40/10=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,33 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,33 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,33 unequal: No Solution
No 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: 33:[46, 30], Operations: ['53-13=40', '40-10=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,33 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,33 unequal: No Solution
No 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: 33:[40, 56], Operations: ['53-13=40', '46+10=56']
Exploring Operation: 40*56=2240, Resulting Numbers: [2240]
2240,33 unequal: No Solution
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 40+56=96, Resulting Numbers: [96]
96,33 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: 33:[10, 53, 33], Operations: ['46-13=33']
Exploring Operation: 53-33=20, Resulting Numbers: [10, 20]
Generated Node #0,3,0: 33:[10, 20] Operation: 53-33=20
Exploring Operation: 53-10=43, Resulting Numbers: [33, 43]
Generated Node #0,3,1: 33:[33, 43] Operation: 53-10=43
Exploring Operation: 33-10=23, Resulting Numbers: [53, 23]
Generated Node #0,3,2: 33:[53, 23] Operation: 33-10=23
Exploring Operation: 10+33=43, Resulting Numbers: [53, 43]
Generated Node #0,3,3: 33:[53, 43] Operation: 10+33=43
Exploring Operation: 10+53=63, Resulting Numbers: [33, 63]
Generated Node #0,3,4: 33:[33, 63] Operation: 10+53=63
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 33:[10, 20], Operations: ['46-13=33', '53-33=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,33 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,33 unequal: No Solution
No 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: 33:[33, 43], Operations: ['46-13=33', '53-10=43']
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Exploring Operation: 33*43=1419, Resulting Numbers: [1419]
1419,33 unequal: No Solution
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,33 unequal: No Solution
No 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: 33:[53, 23], Operations: ['46-13=33', '33-10=23']
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,33 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,33 unequal: No Solution
No 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: 33:[53, 43], Operations: ['46-13=33', '10+33=43']
Exploring Operation: 53+43=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Exploring Operation: 53*43=2279, Resulting Numbers: [2279]
2279,33 unequal: No Solution
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 33:[33, 63], Operations: ['46-13=33', '10+53=63']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 33+63=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Exploring Operation: 33*63=2079, Resulting Numbers: [2079]
2079,33 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: 33:[13, 53, 36], Operations: ['46-10=36']
Exploring Operation: 13+36=49, Resulting Numbers: [53, 49]
Generated Node #0,0,0: 33:[53, 49] Operation: 13+36=49
Exploring Operation: 13+53=66, Resulting Numbers: [36, 66]
Generated Node #0,0,1: 33:[36, 66] Operation: 13+53=66
Exploring Operation: 53-36=17, Resulting Numbers: [13, 17]
Generated Node #0,0,2: 33:[13, 17] Operation: 53-36=17
Exploring Operation: 53-13=40, Resulting Numbers: [36, 40]
Generated Node #0,0,3: 33:[36, 40] Operation: 53-13=40
Exploring Operation: 36-13=23, Resulting Numbers: [53, 23]
Generated Node #0,0,4: 33:[53, 23] Operation: 36-13=23
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 33:[13, 17], Operations: ['46-10=36', '53-36=17']
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,33 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,33 unequal: No Solution
No 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: 33:[36, 40], Operations: ['46-10=36', '53-13=40']
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,33 unequal: No Solution
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,33 unequal: No Solution
No 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: 33:[53, 23], Operations: ['46-10=36', '36-13=23']
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,33 unequal: No Solution
No 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: 33:[53, 49], Operations: ['46-10=36', '13+36=49']
Exploring Operation: 53+49=102, Resulting Numbers: [102]
102,33 unequal: No Solution
Exploring Operation: 53*49=2597, Resulting Numbers: [2597]
2597,33 unequal: No Solution
Exploring Operation: 53-49=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No 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: 33:[36, 66], Operations: ['46-10=36', '13+53=66']
Exploring Operation: 36*66=2376, Resulting Numbers: [2376]
2376,33 unequal: No Solution
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 36+66=102, Resulting Numbers: [102]
102,33 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: 33:[46, 13, 43], Operations: ['53-10=43']
Exploring Operation: 46-43=3, Resulting Numbers: [13, 3]
Generated Node #0,4,0: 33:[13, 3] Operation: 46-43=3
Exploring Operation: 13+43=56, Resulting Numbers: [46, 56]
Generated Node #0,4,1: 33:[46, 56] Operation: 13+43=56
Exploring Operation: 46+13=59, Resulting Numbers: [43, 59]
Generated Node #0,4,2: 33:[43, 59] Operation: 46+13=59
Exploring Operation: 43-13=30, Resulting Numbers: [46, 30]
Generated Node #0,4,3: 33:[46, 30] Operation: 43-13=30
Exploring Operation: 46-13=33, Resulting Numbers: [43, 33]
Generated Node #0,4,4: 33:[43, 33] Operation: 46-13=33
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 33:[13, 3], Operations: ['53-10=43', '46-43=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,33 unequal: No Solution
No 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: 33:[43, 33], Operations: ['53-10=43', '46-13=33']
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,33 unequal: No Solution
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 43*33=1419, Resulting Numbers: [1419]
1419,33 unequal: No Solution
No 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: 33:[46, 30], Operations: ['53-10=43', '43-13=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,33 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,33 unequal: No Solution
No 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: 33:[46, 56], Operations: ['53-10=43', '13+43=56']
Exploring Operation: 46*56=2576, Resulting Numbers: [2576]
2576,33 unequal: No Solution
Exploring Operation: 46+56=102, Resulting Numbers: [102]
102,33 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,33 unequal: No Solution
No 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: 33:[43, 59], Operations: ['53-10=43', '46+13=59']
Exploring Operation: 43*59=2537, Resulting Numbers: [2537]
2537,33 unequal: No Solution
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 43+59=102, Resulting Numbers: [102]
102,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
10,
81,
4,
86
] | 72 | [
"4+86=90",
"90/10=9",
"81-9=72"
] | Current State: 72:[10, 81, 4, 86], Operations: []
Exploring Operation: 4+86=90, Resulting Numbers: [10, 81, 90]
Generated Node #2: [10, 81, 90] from Operation: 4+86=90
Current State: 72:[10, 81, 90], Operations: ['4+86=90']
Exploring Operation: 90/10=9, Resulting Numbers: [81, 9]
Generated Node #3: [81, 9] from Operation: 90/10=9
Current State: 72:[81, 9], Operations: ['4+86=90', '90/10=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[10, 81, 4, 86], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [10, 4, 5]
Generated Node #0,0: 72:[10, 4, 5] Operation: 86-81=5
Exploring Operation: 86-10=76, Resulting Numbers: [81, 4, 76]
Generated Node #0,1: 72:[81, 4, 76] Operation: 86-10=76
Exploring Operation: 81-10=71, Resulting Numbers: [4, 86, 71]
Generated Node #0,2: 72:[4, 86, 71] Operation: 81-10=71
Moving to Node #0,0
Current State: 72:[10, 4, 5], Operations: ['86-81=5']
Exploring Operation: 10-4=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 72:[5, 6] Operation: 10-4=6
Exploring Operation: 10/5=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 72:[4, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 72:[4, 5] Operation: 10-5=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[4, 2], Operations: ['86-81=5', '10/5=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[5, 6], Operations: ['86-81=5', '10-4=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[4, 5], Operations: ['86-81=5', '10-5=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 72:[81, 4, 76], Operations: ['86-10=76']
Exploring Operation: 81-4=77, Resulting Numbers: [76, 77]
Generated Node #0,1,0: 72:[76, 77] Operation: 81-4=77
Exploring Operation: 81-76=5, Resulting Numbers: [4, 5]
Generated Node #0,1,1: 72:[4, 5] Operation: 81-76=5
Exploring Operation: 76-4=72, Resulting Numbers: [81, 72]
Generated Node #0,1,2: 72:[81, 72] Operation: 76-4=72
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[4, 5], Operations: ['86-10=76', '81-76=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[76, 77], Operations: ['86-10=76', '81-4=77']
Exploring Operation: 76*77=5852, Resulting Numbers: [5852]
5852,72 unequal: No Solution
Exploring Operation: 77-76=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 76+77=153, Resulting Numbers: [153]
153,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[81, 72], Operations: ['86-10=76', '76-4=72']
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,72 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,72 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: 72:[4, 86, 71], Operations: ['81-10=71']
Exploring Operation: 86-71=15, Resulting Numbers: [4, 15]
Generated Node #0,2,0: 72:[4, 15] Operation: 86-71=15
Exploring Operation: 4+71=75, Resulting Numbers: [86, 75]
Generated Node #0,2,1: 72:[86, 75] Operation: 4+71=75
Exploring Operation: 86-4=82, Resulting Numbers: [71, 82]
Generated Node #0,2,2: 72:[71, 82] Operation: 86-4=82
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[4, 15], Operations: ['81-10=71', '86-71=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,72 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[71, 82], Operations: ['81-10=71', '86-4=82']
Exploring Operation: 71*82=5822, Resulting Numbers: [5822]
5822,72 unequal: No Solution
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[86, 75], Operations: ['81-10=71', '4+71=75']
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 86+75=161, Resulting Numbers: [161]
161,72 unequal: No Solution
Exploring Operation: 86*75=6450, Resulting Numbers: [6450]
6450,72 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 |
[
33,
12,
83,
35
] | 89 | [
"35-33=2",
"12/2=6",
"83+6=89"
] | Current State: 89:[33, 12, 83, 35], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [12, 83, 2]
Generated Node #2: [12, 83, 2] from Operation: 35-33=2
Current State: 89:[12, 83, 2], Operations: ['35-33=2']
Exploring Operation: 12/2=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 12/2=6
Current State: 89:[83, 6], Operations: ['35-33=2', '12/2=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[33, 12, 83, 35], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [83, 35, 45]
Generated Node #0,0: 89:[83, 35, 45] Operation: 33+12=45
Moving to Node #0,0
Current State: 89:[83, 35, 45], Operations: ['33+12=45']
Exploring Operation: 35+45=80, Resulting Numbers: [83, 80]
Generated Node #0,0,0: 89:[83, 80] Operation: 35+45=80
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[83, 80], Operations: ['33+12=45', '35+45=80']
Exploring Operation: 83+80=163, Resulting Numbers: [163]
163,89 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 |
[
96,
76,
11,
87
] | 78 | [
"96-76=20",
"11+87=98",
"98-20=78"
] | Current State: 78:[96, 76, 11, 87], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [11, 87, 20]
Generated Node #2: [11, 87, 20] from Operation: 96-76=20
Current State: 78:[11, 87, 20], Operations: ['96-76=20']
Exploring Operation: 11+87=98, Resulting Numbers: [20, 98]
Generated Node #3: [20, 98] from Operation: 11+87=98
Current State: 78:[20, 98], Operations: ['96-76=20', '11+87=98']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[96, 76, 11, 87], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [11, 87, 20]
Generated Node #0,0: 78:[11, 87, 20] Operation: 96-76=20
Exploring Operation: 96-87=9, Resulting Numbers: [76, 11, 9]
Generated Node #0,1: 78:[76, 11, 9] Operation: 96-87=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[76, 11, 9], Operations: ['96-87=9']
Exploring Operation: 11+9=20, Resulting Numbers: [76, 20]
Generated Node #0,1,0: 78:[76, 20] Operation: 11+9=20
Exploring Operation: 11-9=2, Resulting Numbers: [76, 2]
Generated Node #0,1,1: 78:[76, 2] Operation: 11-9=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[76, 2], Operations: ['96-87=9', '11-9=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[96, 76, 11, 87], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [76, 11, 9]
Generated Node #0,1: 78:[76, 11, 9] Operation: 96-87=9
Moving to Node #0,1
Current State: 78:[76, 11, 9], Operations: ['96-87=9']
Exploring Operation: 11-9=2, Resulting Numbers: [76, 2]
Generated Node #0,1,1: 78:[76, 2] Operation: 11-9=2
Moving to Node #0,1,1
Current State: 78:[76, 2], Operations: ['96-87=9', '11-9=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
88,
40,
52,
34
] | 20 | [
"88-52=36",
"36-34=2",
"40/2=20"
] | Current State: 20:[88, 40, 52, 34], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [40, 34, 36]
Generated Node #2: [40, 34, 36] from Operation: 88-52=36
Current State: 20:[40, 34, 36], Operations: ['88-52=36']
Exploring Operation: 36-34=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 36-34=2
Current State: 20:[40, 2], Operations: ['88-52=36', '36-34=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[88, 40, 52, 34], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [40, 34, 36]
Generated Node #0,0: 20:[40, 34, 36] Operation: 88-52=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[40, 34, 36], Operations: ['88-52=36']
Exploring Operation: 40-36=4, Resulting Numbers: [34, 4]
Generated Node #0,0,0: 20:[34, 4] Operation: 40-36=4
Moving to Node #0,0,0
Current State: 20:[34, 4], Operations: ['88-52=36', '40-36=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,20 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 |
[
27,
16,
85,
59
] | 69 | [
"27+16=43",
"85-59=26",
"43+26=69"
] | Current State: 69:[27, 16, 85, 59], Operations: []
Exploring Operation: 27+16=43, Resulting Numbers: [85, 59, 43]
Generated Node #2: [85, 59, 43] from Operation: 27+16=43
Current State: 69:[85, 59, 43], Operations: ['27+16=43']
Exploring Operation: 85-59=26, Resulting Numbers: [43, 26]
Generated Node #3: [43, 26] from Operation: 85-59=26
Current State: 69:[43, 26], Operations: ['27+16=43', '85-59=26']
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[27, 16, 85, 59], Operations: []
Exploring Operation: 85-59=26, Resulting Numbers: [27, 16, 26]
Generated Node #0,0: 69:[27, 16, 26] Operation: 85-59=26
Exploring Operation: 85-27=58, Resulting Numbers: [16, 59, 58]
Generated Node #0,1: 69:[16, 59, 58] Operation: 85-27=58
Exploring Operation: 59-27=32, Resulting Numbers: [16, 85, 32]
Generated Node #0,2: 69:[16, 85, 32] Operation: 59-27=32
Exploring Operation: 16+59=75, Resulting Numbers: [27, 85, 75]
Generated Node #0,3: 69:[27, 85, 75] Operation: 16+59=75
Exploring Operation: 85-16=69, Resulting Numbers: [27, 59, 69]
Generated Node #0,4: 69:[27, 59, 69] Operation: 85-16=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[27, 16, 26], Operations: ['85-59=26']
Exploring Operation: 26-16=10, Resulting Numbers: [27, 10]
Generated Node #0,0,0: 69:[27, 10] Operation: 26-16=10
Exploring Operation: 27-26=1, Resulting Numbers: [16, 1]
Generated Node #0,0,1: 69:[16, 1] Operation: 27-26=1
Exploring Operation: 27-16=11, Resulting Numbers: [26, 11]
Generated Node #0,0,2: 69:[26, 11] Operation: 27-16=11
Exploring Operation: 27+16=43, Resulting Numbers: [26, 43]
Generated Node #0,0,3: 69:[26, 43] Operation: 27+16=43
Exploring Operation: 27+26=53, Resulting Numbers: [16, 53]
Generated Node #0,0,4: 69:[16, 53] Operation: 27+26=53
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[16, 1], Operations: ['85-59=26', '27-26=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[27, 10], Operations: ['85-59=26', '26-16=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,69 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[26, 11], Operations: ['85-59=26', '27-16=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,69 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 69:[26, 43], Operations: ['85-59=26', '27+16=43']
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[27, 16, 85, 59], Operations: []
Exploring Operation: 85-59=26, Resulting Numbers: [27, 16, 26]
Generated Node #0,0: 69:[27, 16, 26] Operation: 85-59=26
Moving to Node #0,0
Current State: 69:[27, 16, 26], Operations: ['85-59=26']
Exploring Operation: 27+16=43, Resulting Numbers: [26, 43]
Generated Node #0,0,3: 69:[26, 43] Operation: 27+16=43
Moving to Node #0,0,3
Current State: 69:[26, 43], Operations: ['85-59=26', '27+16=43']
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
30,
79,
18,
5
] | 76 | [
"30/5=6",
"18/6=3",
"79-3=76"
] | Current State: 76:[30, 79, 18, 5], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [79, 18, 6]
Generated Node #2: [79, 18, 6] from Operation: 30/5=6
Current State: 76:[79, 18, 6], Operations: ['30/5=6']
Exploring Operation: 18/6=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 18/6=3
Current State: 76:[79, 3], Operations: ['30/5=6', '18/6=3']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[30, 79, 18, 5], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [79, 18, 6]
Generated Node #0,0: 76:[79, 18, 6] Operation: 30/5=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[79, 18, 6], Operations: ['30/5=6']
Exploring Operation: 79-6=73, Resulting Numbers: [18, 73]
Generated Node #0,0,0: 76:[18, 73] Operation: 79-6=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[18, 73], Operations: ['30/5=6', '79-6=73']
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
73,
4,
28,
96
] | 69 | [
"73-28=45",
"96/4=24",
"45+24=69"
] | Current State: 69:[73, 4, 28, 96], Operations: []
Exploring Operation: 73-28=45, Resulting Numbers: [4, 96, 45]
Generated Node #2: [4, 96, 45] from Operation: 73-28=45
Current State: 69:[4, 96, 45], Operations: ['73-28=45']
Exploring Operation: 96/4=24, Resulting Numbers: [45, 24]
Generated Node #3: [45, 24] from Operation: 96/4=24
Current State: 69:[45, 24], Operations: ['73-28=45', '96/4=24']
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[73, 4, 28, 96], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [73, 28, 24]
Generated Node #0,0: 69:[73, 28, 24] Operation: 96/4=24
Exploring Operation: 73-4=69, Resulting Numbers: [28, 96, 69]
Generated Node #0,1: 69:[28, 96, 69] Operation: 73-4=69
Exploring Operation: 96-73=23, Resulting Numbers: [4, 28, 23]
Generated Node #0,2: 69:[4, 28, 23] Operation: 96-73=23
Exploring Operation: 96-28=68, Resulting Numbers: [73, 4, 68]
Generated Node #0,3: 69:[73, 4, 68] Operation: 96-28=68
Moving to Node #0,2
Current State: 69:[4, 28, 23], Operations: ['96-73=23']
Exploring Operation: 4+28=32, Resulting Numbers: [23, 32]
Generated Node #0,2,0: 69:[23, 32] Operation: 4+28=32
Exploring Operation: 28/4=7, Resulting Numbers: [23, 7]
Generated Node #0,2,1: 69:[23, 7] Operation: 28/4=7
Exploring Operation: 28-23=5, Resulting Numbers: [4, 5]
Generated Node #0,2,2: 69:[4, 5] Operation: 28-23=5
Exploring Operation: 28-4=24, Resulting Numbers: [23, 24]
Generated Node #0,2,3: 69:[23, 24] Operation: 28-4=24
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 69:[23, 24], Operations: ['96-73=23', '28-4=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[4, 5], Operations: ['96-73=23', '28-23=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[23, 7], Operations: ['96-73=23', '28/4=7']
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,69 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[23, 32], Operations: ['96-73=23', '4+28=32']
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,69 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: 69:[73, 4, 68], Operations: ['96-28=68']
Exploring Operation: 4+68=72, Resulting Numbers: [73, 72]
Generated Node #0,3,0: 69:[73, 72] Operation: 4+68=72
Exploring Operation: 73-4=69, Resulting Numbers: [68, 69]
Generated Node #0,3,1: 69:[68, 69] Operation: 73-4=69
Exploring Operation: 73+4=77, Resulting Numbers: [68, 77]
Generated Node #0,3,2: 69:[68, 77] Operation: 73+4=77
Exploring Operation: 73-68=5, Resulting Numbers: [4, 5]
Generated Node #0,3,3: 69:[4, 5] Operation: 73-68=5
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[68, 69], Operations: ['96-28=68', '73-4=69']
Exploring Operation: 68*69=4692, Resulting Numbers: [4692]
4692,69 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 68+69=137, Resulting Numbers: [137]
137,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[4, 5], Operations: ['96-28=68', '73-68=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[73, 72], Operations: ['96-28=68', '4+68=72']
Exploring Operation: 73+72=145, Resulting Numbers: [145]
145,69 unequal: No Solution
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 73*72=5256, Resulting Numbers: [5256]
5256,69 unequal: No Solution
No 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: 69:[68, 77], Operations: ['96-28=68', '73+4=77']
Exploring Operation: 68*77=5236, Resulting Numbers: [5236]
5236,69 unequal: No Solution
Exploring Operation: 68+77=145, Resulting Numbers: [145]
145,69 unequal: No Solution
Exploring Operation: 77-68=9, Resulting Numbers: [9]
9,69 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: 69:[73, 28, 24], Operations: ['96/4=24']
Exploring Operation: 73-28=45, Resulting Numbers: [24, 45]
Generated Node #0,0,0: 69:[24, 45] Operation: 73-28=45
Exploring Operation: 73-24=49, Resulting Numbers: [28, 49]
Generated Node #0,0,1: 69:[28, 49] Operation: 73-24=49
Exploring Operation: 28+24=52, Resulting Numbers: [73, 52]
Generated Node #0,0,2: 69:[73, 52] Operation: 28+24=52
Exploring Operation: 28-24=4, Resulting Numbers: [73, 4]
Generated Node #0,0,3: 69:[73, 4] Operation: 28-24=4
Moving to Node #0,1
Current State: 69:[28, 96, 69], Operations: ['73-4=69']
Exploring Operation: 69-28=41, Resulting Numbers: [96, 41]
Generated Node #0,1,0: 69:[96, 41] Operation: 69-28=41
Exploring Operation: 96-28=68, Resulting Numbers: [69, 68]
Generated Node #0,1,1: 69:[69, 68] Operation: 96-28=68
Exploring Operation: 96-69=27, Resulting Numbers: [28, 27]
Generated Node #0,1,2: 69:[28, 27] Operation: 96-69=27
Exploring Operation: 28+96=124, Resulting Numbers: [69, 124]
Generated Node #0,1,3: 69:[69, 124] Operation: 28+96=124
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 69:[69, 68], Operations: ['73-4=69', '96-28=68']
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,69 unequal: No Solution
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 69:[28, 27], Operations: ['73-4=69', '96-69=27']
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[96, 41], Operations: ['73-4=69', '69-28=41']
Exploring Operation: 96*41=3936, Resulting Numbers: [3936]
3936,69 unequal: No Solution
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,69 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 69:[69, 124], Operations: ['73-4=69', '28+96=124']
Exploring Operation: 69+124=193, Resulting Numbers: [193]
193,69 unequal: No Solution
Exploring Operation: 69*124=8556, Resulting Numbers: [8556]
8556,69 unequal: No Solution
Exploring Operation: 124-69=55, Resulting Numbers: [55]
55,69 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: 69:[73, 4], Operations: ['96/4=24', '28-24=4']
Exploring Operation: 73*4=292, Resulting Numbers: [292]
292,69 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[73, 4, 28, 96], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [73, 28, 24]
Generated Node #0,0: 69:[73, 28, 24] Operation: 96/4=24
Moving to Node #0,0
Current State: 69:[73, 28, 24], Operations: ['96/4=24']
Exploring Operation: 28-24=4, Resulting Numbers: [73, 4]
Generated Node #0,0,3: 69:[73, 4] Operation: 28-24=4
Moving to Node #0,0,3
Current State: 69:[73, 4], Operations: ['96/4=24', '28-24=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.946181 | hs_4 | sum_heuristic |
[
84,
76,
44,
8
] | 92 | [
"84+44=128",
"128/8=16",
"76+16=92"
] | Current State: 92:[84, 76, 44, 8], Operations: []
Exploring Operation: 84+44=128, Resulting Numbers: [76, 8, 128]
Generated Node #2: [76, 8, 128] from Operation: 84+44=128
Current State: 92:[76, 8, 128], Operations: ['84+44=128']
Exploring Operation: 128/8=16, Resulting Numbers: [76, 16]
Generated Node #3: [76, 16] from Operation: 128/8=16
Current State: 92:[76, 16], Operations: ['84+44=128', '128/8=16']
Exploring Operation: 76+16=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[84, 76, 44, 8], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [44, 8, 8]
Generated Node #0,0: 92:[44, 8, 8] Operation: 84-76=8
Moving to Node #0,0
Current State: 92:[44, 8, 8], Operations: ['84-76=8']
Exploring Operation: 8/8=1, Resulting Numbers: [44, 1]
Generated Node #0,0,0: 92:[44, 1] Operation: 8/8=1
Moving to Node #0,0,0
Current State: 92:[44, 1], Operations: ['84-76=8', '8/8=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,92 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
17,
20,
64,
17
] | 27 | [
"20-17=3",
"64+17=81",
"81/3=27"
] | Current State: 27:[17, 20, 64, 17], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [64, 3]
Generated Node #2: [64, 3] from Operation: 20-17=3
Current State: 27:[64, 3], Operations: ['20-17=3']
Exploring Operation: 64+17=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 64+17=81
Current State: 27:[3, 81], Operations: ['20-17=3', '64+17=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[17, 20, 64, 17], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [17, 17, 44]
Generated Node #0,0: 27:[17, 17, 44] Operation: 64-20=44
Exploring Operation: 20-17=3, Resulting Numbers: [64, 17, 3]
Generated Node #0,1: 27:[64, 17, 3] Operation: 20-17=3
Exploring Operation: 64-17=47, Resulting Numbers: [20, 17, 47]
Generated Node #0,2: 27:[20, 17, 47] Operation: 64-17=47
Exploring Operation: 64-17=47, Resulting Numbers: [17, 20, 47]
Generated Node #0,3: 27:[17, 20, 47] Operation: 64-17=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[17, 17, 44], Operations: ['64-20=44']
Exploring Operation: 17-17=0, Resulting Numbers: [44, 0]
Generated Node #0,0,0: 27:[44, 0] Operation: 17-17=0
Exploring Operation: 44-17=27, Resulting Numbers: [17, 27]
Generated Node #0,0,1: 27:[17, 27] Operation: 44-17=27
Exploring Operation: 44-17=27, Resulting Numbers: [17, 27]
Generated Node #0,0,2: 27:[17, 27] Operation: 44-17=27
Exploring Operation: 17/17=1, Resulting Numbers: [44, 1]
Generated Node #0,0,3: 27:[44, 1] Operation: 17/17=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 27:[17, 27], Operations: ['64-20=44', '44-17=27']
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,27 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,27 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:[17, 27], Operations: ['64-20=44', '44-17=27']
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,27 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,27 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 #0,0,3
Current State: 27:[44, 1], Operations: ['64-20=44', '17/17=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,27 unequal: No Solution
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,27 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:[44, 0], Operations: ['64-20=44', '17-17=0']
Exploring Operation: 44*0=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 44-0=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 44+0=44, Resulting Numbers: [44]
44,27 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:[20, 17, 47], Operations: ['64-17=47']
Exploring Operation: 47-20=27, Resulting Numbers: [17, 27]
Generated Node #0,2,0: 27:[17, 27] Operation: 47-20=27
Exploring Operation: 47-17=30, Resulting Numbers: [20, 30]
Generated Node #0,2,1: 27:[20, 30] Operation: 47-17=30
Exploring Operation: 20-17=3, Resulting Numbers: [47, 3]
Generated Node #0,2,2: 27:[47, 3] Operation: 20-17=3
Exploring Operation: 20+17=37, Resulting Numbers: [47, 37]
Generated Node #0,2,3: 27:[47, 37] Operation: 20+17=37
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 27:[17, 27], Operations: ['64-17=47', '47-20=27']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,27 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 27:[20, 30], Operations: ['64-17=47', '47-17=30']
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,27 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 27:[47, 3], Operations: ['64-17=47', '20-17=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 27:[47, 37], Operations: ['64-17=47', '20+17=37']
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 47*37=1739, Resulting Numbers: [1739]
1739,27 unequal: No Solution
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[17, 20, 47], Operations: ['64-17=47']
Exploring Operation: 20-17=3, Resulting Numbers: [47, 3]
Generated Node #0,3,0: 27:[47, 3] Operation: 20-17=3
Exploring Operation: 47-20=27, Resulting Numbers: [17, 27]
Generated Node #0,3,1: 27:[17, 27] Operation: 47-20=27
Exploring Operation: 17+20=37, Resulting Numbers: [47, 37]
Generated Node #0,3,2: 27:[47, 37] Operation: 17+20=37
Exploring Operation: 47-17=30, Resulting Numbers: [20, 30]
Generated Node #0,3,3: 27:[20, 30] Operation: 47-17=30
Moving to Node #0,3,1
Current State: 27:[17, 27], Operations: ['64-17=47', '47-20=27']
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,27 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[20, 30], Operations: ['64-17=47', '47-17=30']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,27 unequal: No Solution
Moving to Node #0,3,0
Current State: 27:[47, 3], Operations: ['64-17=47', '20-17=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[47, 37], Operations: ['64-17=47', '17+20=37']
Exploring Operation: 47*37=1739, Resulting Numbers: [1739]
1739,27 unequal: No Solution
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[64, 17, 3], Operations: ['20-17=3']
Exploring Operation: 64-3=61, Resulting Numbers: [17, 61]
Generated Node #0,1,0: 27:[17, 61] Operation: 64-3=61
Exploring Operation: 17+3=20, Resulting Numbers: [64, 20]
Generated Node #0,1,1: 27:[64, 20] Operation: 17+3=20
Exploring Operation: 17-3=14, Resulting Numbers: [64, 14]
Generated Node #0,1,2: 27:[64, 14] Operation: 17-3=14
Exploring Operation: 64-17=47, Resulting Numbers: [3, 47]
Generated Node #0,1,3: 27:[3, 47] Operation: 64-17=47
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 27:[3, 47], Operations: ['20-17=3', '64-17=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,27 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,27 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:[17, 61], Operations: ['20-17=3', '64-3=61']
Exploring Operation: 17+61=78, Resulting Numbers: [78]
78,27 unequal: No Solution
Exploring Operation: 17*61=1037, Resulting Numbers: [1037]
1037,27 unequal: No Solution
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,27 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:[64, 14], Operations: ['20-17=3', '17-3=14']
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,27 unequal: No Solution
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 64*14=896, Resulting Numbers: [896]
896,27 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:[64, 20], Operations: ['20-17=3', '17+3=20']
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,27 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,27 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
No solution found.
| 0 | hs_4 | sum_heuristic |
[
17,
49,
3,
18
] | 85 | [
"3*18=54",
"54-49=5",
"17*5=85"
] | Current State: 85:[17, 49, 3, 18], Operations: []
Exploring Operation: 3*18=54, Resulting Numbers: [17, 49, 54]
Generated Node #2: [17, 49, 54] from Operation: 3*18=54
Current State: 85:[17, 49, 54], Operations: ['3*18=54']
Exploring Operation: 54-49=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 54-49=5
Current State: 85:[17, 5], Operations: ['3*18=54', '54-49=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[17, 49, 3, 18], Operations: []
Exploring Operation: 49-18=31, Resulting Numbers: [17, 3, 31]
Generated Node #0,0: 85:[17, 3, 31] Operation: 49-18=31
Exploring Operation: 49-17=32, Resulting Numbers: [3, 18, 32]
Generated Node #0,1: 85:[3, 18, 32] Operation: 49-17=32
Exploring Operation: 17+49=66, Resulting Numbers: [3, 18, 66]
Generated Node #0,2: 85:[3, 18, 66] Operation: 17+49=66
Exploring Operation: 49+18=67, Resulting Numbers: [17, 3, 67]
Generated Node #0,3: 85:[17, 3, 67] Operation: 49+18=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[17, 3, 31], Operations: ['49-18=31']
Exploring Operation: 31-17=14, Resulting Numbers: [3, 14]
Generated Node #0,0,0: 85:[3, 14] Operation: 31-17=14
Exploring Operation: 31-3=28, Resulting Numbers: [17, 28]
Generated Node #0,0,1: 85:[17, 28] Operation: 31-3=28
Exploring Operation: 3*31=93, Resulting Numbers: [17, 93]
Generated Node #0,0,2: 85:[17, 93] Operation: 3*31=93
Exploring Operation: 17+3=20, Resulting Numbers: [31, 20]
Generated Node #0,0,3: 85:[31, 20] Operation: 17+3=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[3, 14], Operations: ['49-18=31', '31-17=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[17, 93], Operations: ['49-18=31', '3*31=93']
Exploring Operation: 17*93=1581, Resulting Numbers: [1581]
1581,85 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Exploring Operation: 17+93=110, Resulting Numbers: [110]
110,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[17, 28], Operations: ['49-18=31', '31-3=28']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,85 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 85:[31, 20], Operations: ['49-18=31', '17+3=20']
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,85 unequal: No Solution
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[3, 18, 32], Operations: ['49-17=32']
Exploring Operation: 18/3=6, Resulting Numbers: [32, 6]
Generated Node #0,1,0: 85:[32, 6] Operation: 18/3=6
Exploring Operation: 32-18=14, Resulting Numbers: [3, 14]
Generated Node #0,1,1: 85:[3, 14] Operation: 32-18=14
Exploring Operation: 32-3=29, Resulting Numbers: [18, 29]
Generated Node #0,1,2: 85:[18, 29] Operation: 32-3=29
Exploring Operation: 3*32=96, Resulting Numbers: [18, 96]
Generated Node #0,1,3: 85:[18, 96] Operation: 3*32=96
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[3, 14], Operations: ['49-17=32', '32-18=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[18, 96], Operations: ['49-17=32', '3*32=96']
Exploring Operation: 18*96=1728, Resulting Numbers: [1728]
1728,85 unequal: No Solution
Exploring Operation: 18+96=114, Resulting Numbers: [114]
114,85 unequal: No Solution
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[18, 29], Operations: ['49-17=32', '32-3=29']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,85 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[32, 6], Operations: ['49-17=32', '18/3=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,85 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,85 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[17, 3, 67], Operations: ['49+18=67']
Exploring Operation: 17-3=14, Resulting Numbers: [67, 14]
Generated Node #0,3,0: 85:[67, 14] Operation: 17-3=14
Exploring Operation: 17+67=84, Resulting Numbers: [3, 84]
Generated Node #0,3,1: 85:[3, 84] Operation: 17+67=84
Exploring Operation: 17+3=20, Resulting Numbers: [67, 20]
Generated Node #0,3,2: 85:[67, 20] Operation: 17+3=20
Exploring Operation: 3+67=70, Resulting Numbers: [17, 70]
Generated Node #0,3,3: 85:[17, 70] Operation: 3+67=70
Moving to Node #0,3,1
Current State: 85:[3, 84], Operations: ['49+18=67', '17+67=84']
Exploring Operation: 3*84=252, Resulting Numbers: [252]
252,85 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Moving to Node #0,3,3
Current State: 85:[17, 70], Operations: ['49+18=67', '3+67=70']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 17*70=1190, Resulting Numbers: [1190]
1190,85 unequal: No Solution
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Moving to Node #0,3,2
Current State: 85:[67, 20], Operations: ['49+18=67', '17+3=20']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,85 unequal: No Solution
Exploring Operation: 67*20=1340, Resulting Numbers: [1340]
1340,85 unequal: No Solution
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Moving to Node #0,3,0
Current State: 85:[67, 14], Operations: ['49+18=67', '17-3=14']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,85 unequal: No Solution
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[3, 18, 66], Operations: ['17+49=66']
Exploring Operation: 3+66=69, Resulting Numbers: [18, 69]
Generated Node #0,2,0: 85:[18, 69] Operation: 3+66=69
Exploring Operation: 66/3=22, Resulting Numbers: [18, 22]
Generated Node #0,2,1: 85:[18, 22] Operation: 66/3=22
Exploring Operation: 18/3=6, Resulting Numbers: [66, 6]
Generated Node #0,2,2: 85:[66, 6] Operation: 18/3=6
Exploring Operation: 18+66=84, Resulting Numbers: [3, 84]
Generated Node #0,2,3: 85:[3, 84] Operation: 18+66=84
Moving to Node #0,2,3
Current State: 85:[3, 84], Operations: ['17+49=66', '18+66=84']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 3*84=252, Resulting Numbers: [252]
252,85 unequal: No Solution
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[18, 22], Operations: ['17+49=66', '66/3=22']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 18*22=396, Resulting Numbers: [396]
396,85 unequal: No Solution
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[18, 69], Operations: ['17+49=66', '3+66=69']
Exploring Operation: 18+69=87, Resulting Numbers: [87]
87,85 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,85 unequal: No Solution
Exploring Operation: 18*69=1242, Resulting Numbers: [1242]
1242,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[66, 6], Operations: ['17+49=66', '18/3=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 66*6=396, Resulting Numbers: [396]
396,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
8,
35,
63,
65
] | 62 | [
"65-63=2",
"35*2=70",
"70-8=62"
] | Current State: 62:[8, 35, 63, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [8, 35, 2]
Generated Node #2: [8, 35, 2] from Operation: 65-63=2
Current State: 62:[8, 35, 2], Operations: ['65-63=2']
Exploring Operation: 35*2=70, Resulting Numbers: [8, 70]
Generated Node #3: [8, 70] from Operation: 35*2=70
Current State: 62:[8, 70], Operations: ['65-63=2', '35*2=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[8, 35, 63, 65], Operations: []
Exploring Operation: 35-8=27, Resulting Numbers: [63, 65, 27]
Generated Node #0,0: 62:[63, 65, 27] Operation: 35-8=27
Exploring Operation: 65-63=2, Resulting Numbers: [8, 35, 2]
Generated Node #0,1: 62:[8, 35, 2] Operation: 65-63=2
Exploring Operation: 63-35=28, Resulting Numbers: [8, 65, 28]
Generated Node #0,2: 62:[8, 65, 28] Operation: 63-35=28
Exploring Operation: 65-8=57, Resulting Numbers: [35, 63, 57]
Generated Node #0,3: 62:[35, 63, 57] Operation: 65-8=57
Exploring Operation: 65-35=30, Resulting Numbers: [8, 63, 30]
Generated Node #0,4: 62:[8, 63, 30] Operation: 65-35=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[63, 65, 27], Operations: ['35-8=27']
Exploring Operation: 63+27=90, Resulting Numbers: [65, 90]
Generated Node #0,0,0: 62:[65, 90] Operation: 63+27=90
Exploring Operation: 65+27=92, Resulting Numbers: [63, 92]
Generated Node #0,0,1: 62:[63, 92] Operation: 65+27=92
Exploring Operation: 63-27=36, Resulting Numbers: [65, 36]
Generated Node #0,0,2: 62:[65, 36] Operation: 63-27=36
Exploring Operation: 65-63=2, Resulting Numbers: [27, 2]
Generated Node #0,0,3: 62:[27, 2] Operation: 65-63=2
Exploring Operation: 65-27=38, Resulting Numbers: [63, 38]
Generated Node #0,0,4: 62:[63, 38] Operation: 65-27=38
Moving to Node #0,0,3
Current State: 62:[27, 2], Operations: ['35-8=27', '65-63=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Moving to Node #0,0,4
Current State: 62:[63, 38], Operations: ['35-8=27', '65-27=38']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,62 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[65, 36], Operations: ['35-8=27', '63-27=36']
Exploring Operation: 65+36=101, Resulting Numbers: [101]
101,62 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 65*36=2340, Resulting Numbers: [2340]
2340,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[65, 90], Operations: ['35-8=27', '63+27=90']
Exploring Operation: 65+90=155, Resulting Numbers: [155]
155,62 unequal: No Solution
Exploring Operation: 65*90=5850, Resulting Numbers: [5850]
5850,62 unequal: No Solution
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[63, 92], Operations: ['35-8=27', '65+27=92']
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 63+92=155, Resulting Numbers: [155]
155,62 unequal: No Solution
Exploring Operation: 63*92=5796, Resulting Numbers: [5796]
5796,62 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 #0,4
Current State: 62:[8, 63, 30], Operations: ['65-35=30']
Exploring Operation: 8+63=71, Resulting Numbers: [30, 71]
Generated Node #0,4,0: 62:[30, 71] Operation: 8+63=71
Exploring Operation: 63-8=55, Resulting Numbers: [30, 55]
Generated Node #0,4,1: 62:[30, 55] Operation: 63-8=55
Exploring Operation: 30-8=22, Resulting Numbers: [63, 22]
Generated Node #0,4,2: 62:[63, 22] Operation: 30-8=22
Exploring Operation: 63-30=33, Resulting Numbers: [8, 33]
Generated Node #0,4,3: 62:[8, 33] Operation: 63-30=33
Exploring Operation: 8+30=38, Resulting Numbers: [63, 38]
Generated Node #0,4,4: 62:[63, 38] Operation: 8+30=38
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 62:[30, 55], Operations: ['65-35=30', '63-8=55']
Exploring Operation: 30+55=85, Resulting Numbers: [85]
85,62 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 30*55=1650, Resulting Numbers: [1650]
1650,62 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 #0,4,3
Current State: 62:[8, 33], Operations: ['65-35=30', '63-30=33']
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,62 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,62 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 #0,4,4
Current State: 62:[63, 38], Operations: ['65-35=30', '8+30=38']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,62 unequal: No Solution
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,62 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 #0,4,0
Current State: 62:[30, 71], Operations: ['65-35=30', '8+63=71']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,62 unequal: No Solution
Exploring Operation: 30+71=101, Resulting Numbers: [101]
101,62 unequal: No Solution
Exploring Operation: 30*71=2130, Resulting Numbers: [2130]
2130,62 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 #0,4,2
Current State: 62:[63, 22], Operations: ['65-35=30', '30-8=22']
Exploring Operation: 63+22=85, Resulting Numbers: [85]
85,62 unequal: No Solution
Exploring Operation: 63*22=1386, Resulting Numbers: [1386]
1386,62 unequal: No Solution
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,62 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 #0,1
Current State: 62:[8, 35, 2], Operations: ['65-63=2']
Exploring Operation: 35-2=33, Resulting Numbers: [8, 33]
Generated Node #0,1,0: 62:[8, 33] Operation: 35-2=33
Exploring Operation: 35-8=27, Resulting Numbers: [2, 27]
Generated Node #0,1,1: 62:[2, 27] Operation: 35-8=27
Exploring Operation: 8+35=43, Resulting Numbers: [2, 43]
Generated Node #0,1,2: 62:[2, 43] Operation: 8+35=43
Exploring Operation: 8/2=4, Resulting Numbers: [35, 4]
Generated Node #0,1,3: 62:[35, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [35, 6]
Generated Node #0,1,4: 62:[35, 6] Operation: 8-2=6
Moving to Node #0,1,1
Current State: 62:[2, 27], Operations: ['65-63=2', '35-8=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,62 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Moving to Node #0,1,3
Current State: 62:[35, 4], Operations: ['65-63=2', '8/2=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,62 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[8, 33], Operations: ['65-63=2', '35-2=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,62 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,62 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Moving to Node #0,1,4
Current State: 62:[35, 6], Operations: ['65-63=2', '8-2=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,62 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,62 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[2, 43], Operations: ['65-63=2', '8+35=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,62 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,62 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,62 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 #0,3
Current State: 62:[35, 63, 57], Operations: ['65-8=57']
Exploring Operation: 35+57=92, Resulting Numbers: [63, 92]
Generated Node #0,3,0: 62:[63, 92] Operation: 35+57=92
Exploring Operation: 35+63=98, Resulting Numbers: [57, 98]
Generated Node #0,3,1: 62:[57, 98] Operation: 35+63=98
Exploring Operation: 63-35=28, Resulting Numbers: [57, 28]
Generated Node #0,3,2: 62:[57, 28] Operation: 63-35=28
Exploring Operation: 57-35=22, Resulting Numbers: [63, 22]
Generated Node #0,3,3: 62:[63, 22] Operation: 57-35=22
Exploring Operation: 63-57=6, Resulting Numbers: [35, 6]
Generated Node #0,3,4: 62:[35, 6] Operation: 63-57=6
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 62:[57, 28], Operations: ['65-8=57', '63-35=28']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,62 unequal: No Solution
Exploring Operation: 57*28=1596, Resulting Numbers: [1596]
1596,62 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 #0,3,4
Current State: 62:[35, 6], Operations: ['65-8=57', '63-57=6']
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,62 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,62 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 #0,3,3
Current State: 62:[63, 22], Operations: ['65-8=57', '57-35=22']
Exploring Operation: 63*22=1386, Resulting Numbers: [1386]
1386,62 unequal: No Solution
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,62 unequal: No Solution
Exploring Operation: 63+22=85, Resulting Numbers: [85]
85,62 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 #0,3,0
Current State: 62:[63, 92], Operations: ['65-8=57', '35+57=92']
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 63*92=5796, Resulting Numbers: [5796]
5796,62 unequal: No Solution
Exploring Operation: 63+92=155, Resulting Numbers: [155]
155,62 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 #0,3,1
Current State: 62:[57, 98], Operations: ['65-8=57', '35+63=98']
Exploring Operation: 98-57=41, Resulting Numbers: [41]
41,62 unequal: No Solution
Exploring Operation: 57+98=155, Resulting Numbers: [155]
155,62 unequal: No Solution
Exploring Operation: 57*98=5586, Resulting Numbers: [5586]
5586,62 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:[8, 65, 28], Operations: ['63-35=28']
Exploring Operation: 8+28=36, Resulting Numbers: [65, 36]
Generated Node #0,2,0: 62:[65, 36] Operation: 8+28=36
Exploring Operation: 28-8=20, Resulting Numbers: [65, 20]
Generated Node #0,2,1: 62:[65, 20] Operation: 28-8=20
Exploring Operation: 65-8=57, Resulting Numbers: [28, 57]
Generated Node #0,2,2: 62:[28, 57] Operation: 65-8=57
Exploring Operation: 65-28=37, Resulting Numbers: [8, 37]
Generated Node #0,2,3: 62:[8, 37] Operation: 65-28=37
Exploring Operation: 8+65=73, Resulting Numbers: [28, 73]
Generated Node #0,2,4: 62:[28, 73] Operation: 8+65=73
Moving to Node #0,2,0
Current State: 62:[65, 36], Operations: ['63-35=28', '8+28=36']
Exploring Operation: 65*36=2340, Resulting Numbers: [2340]
2340,62 unequal: No Solution
Exploring Operation: 65+36=101, Resulting Numbers: [101]
101,62 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[28, 57], Operations: ['63-35=28', '65-8=57']
Exploring Operation: 28+57=85, Resulting Numbers: [85]
85,62 unequal: No Solution
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 28*57=1596, Resulting Numbers: [1596]
1596,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[8, 37], Operations: ['63-35=28', '65-28=37']
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,62 unequal: No Solution
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,62 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[65, 20], Operations: ['63-35=28', '28-8=20']
Exploring Operation: 65+20=85, Resulting Numbers: [85]
85,62 unequal: No Solution
Exploring Operation: 65*20=1300, Resulting Numbers: [1300]
1300,62 unequal: No Solution
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,62 unequal: No Solution
Moving to Node #0,2,4
Current State: 62:[28, 73], Operations: ['63-35=28', '8+65=73']
Exploring Operation: 28+73=101, Resulting Numbers: [101]
101,62 unequal: No Solution
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,62 unequal: No Solution
Exploring Operation: 28*73=2044, Resulting Numbers: [2044]
2044,62 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 |
[
33,
45,
25,
99
] | 18 | [
"33-25=8",
"45+99=144",
"144/8=18"
] | Current State: 18:[33, 45, 25, 99], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [45, 99, 8]
Generated Node #2: [45, 99, 8] from Operation: 33-25=8
Current State: 18:[45, 99, 8], Operations: ['33-25=8']
Exploring Operation: 45+99=144, Resulting Numbers: [8, 144]
Generated Node #3: [8, 144] from Operation: 45+99=144
Current State: 18:[8, 144], Operations: ['33-25=8', '45+99=144']
Exploring Operation: 144/8=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[33, 45, 25, 99], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [33, 25, 54]
Generated Node #0,0: 18:[33, 25, 54] Operation: 99-45=54
Exploring Operation: 99/33=3, Resulting Numbers: [45, 25, 3]
Generated Node #0,1: 18:[45, 25, 3] Operation: 99/33=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[45, 25, 3], Operations: ['99/33=3']
Exploring Operation: 45/3=15, Resulting Numbers: [25, 15]
Generated Node #0,1,0: 18:[25, 15] Operation: 45/3=15
Exploring Operation: 45-25=20, Resulting Numbers: [3, 20]
Generated Node #0,1,1: 18:[3, 20] Operation: 45-25=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[3, 20], Operations: ['99/33=3', '45-25=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,18 unequal: No Solution
No 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: 18:[25, 15], Operations: ['99/33=3', '45/3=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,18 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: 18:[33, 25, 54], Operations: ['99-45=54']
Exploring Operation: 54-25=29, Resulting Numbers: [33, 29]
Generated Node #0,0,0: 18:[33, 29] Operation: 54-25=29
Exploring Operation: 54-33=21, Resulting Numbers: [25, 21]
Generated Node #0,0,1: 18:[25, 21] Operation: 54-33=21
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[25, 21], Operations: ['99-45=54', '54-33=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,18 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,18 unequal: No Solution
No 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: 18:[33, 29], Operations: ['99-45=54', '54-25=29']
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,18 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 |
[
69,
19,
39,
3
] | 52 | [
"69+19=88",
"39-3=36",
"88-36=52"
] | Current State: 52:[69, 19, 39, 3], Operations: []
Exploring Operation: 69+19=88, Resulting Numbers: [39, 3, 88]
Generated Node #2: [39, 3, 88] from Operation: 69+19=88
Current State: 52:[39, 3, 88], Operations: ['69+19=88']
Exploring Operation: 39-3=36, Resulting Numbers: [88, 36]
Generated Node #3: [88, 36] from Operation: 39-3=36
Current State: 52:[88, 36], Operations: ['69+19=88', '39-3=36']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[69, 19, 39, 3], Operations: []
Exploring Operation: 69-19=50, Resulting Numbers: [39, 3, 50]
Generated Node #0,0: 52:[39, 3, 50] Operation: 69-19=50
Exploring Operation: 69-39=30, Resulting Numbers: [19, 3, 30]
Generated Node #0,1: 52:[19, 3, 30] Operation: 69-39=30
Moving to Node #0,1
Current State: 52:[19, 3, 30], Operations: ['69-39=30']
Exploring Operation: 19+30=49, Resulting Numbers: [3, 49]
Generated Node #0,1,0: 52:[3, 49] Operation: 19+30=49
Exploring Operation: 30-19=11, Resulting Numbers: [3, 11]
Generated Node #0,1,1: 52:[3, 11] Operation: 30-19=11
Moving to Node #0,0
Current State: 52:[39, 3, 50], Operations: ['69-19=50']
Exploring Operation: 39/3=13, Resulting Numbers: [50, 13]
Generated Node #0,0,0: 52:[50, 13] Operation: 39/3=13
Exploring Operation: 50-39=11, Resulting Numbers: [3, 11]
Generated Node #0,0,1: 52:[3, 11] Operation: 50-39=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[50, 13], Operations: ['69-19=50', '39/3=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[3, 11], Operations: ['69-19=50', '50-39=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,52 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: 52:[3, 11], Operations: ['69-39=30', '30-19=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[3, 49], Operations: ['69-39=30', '19+30=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[69, 19, 39, 3], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [19, 3, 30]
Generated Node #0,1: 52:[19, 3, 30] Operation: 69-39=30
Moving to Node #0,1
Current State: 52:[19, 3, 30], Operations: ['69-39=30']
Exploring Operation: 19+30=49, Resulting Numbers: [3, 49]
Generated Node #0,1,0: 52:[3, 49] Operation: 19+30=49
Moving to Node #0,1,0
Current State: 52:[3, 49], Operations: ['69-39=30', '19+30=49']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
16,
48,
46,
48
] | 91 | [
"48/16=3",
"46+48=94",
"94-3=91"
] | Current State: 91:[16, 48, 46, 48], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [46, 3]
Generated Node #2: [46, 3] from Operation: 48/16=3
Current State: 91:[46, 3], Operations: ['48/16=3']
Exploring Operation: 46+48=94, Resulting Numbers: [3, 94]
Generated Node #3: [3, 94] from Operation: 46+48=94
Current State: 91:[3, 94], Operations: ['48/16=3', '46+48=94']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[16, 48, 46, 48], Operations: []
Exploring Operation: 48+46=94, Resulting Numbers: [16, 48, 94]
Generated Node #0,0: 91:[16, 48, 94] Operation: 48+46=94
Exploring Operation: 48+48=96, Resulting Numbers: [16, 46, 96]
Generated Node #0,1: 91:[16, 46, 96] Operation: 48+48=96
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[16, 48, 94], Operations: ['48+46=94']
Exploring Operation: 48-16=32, Resulting Numbers: [94, 32]
Generated Node #0,0,0: 91:[94, 32] Operation: 48-16=32
Exploring Operation: 48/16=3, Resulting Numbers: [94, 3]
Generated Node #0,0,1: 91:[94, 3] Operation: 48/16=3
Moving to Node #0,0,1
Current State: 91:[94, 3], Operations: ['48+46=94', '48/16=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[16, 48, 46, 48], Operations: []
Exploring Operation: 48+46=94, Resulting Numbers: [16, 48, 94]
Generated Node #0,0: 91:[16, 48, 94] Operation: 48+46=94
Moving to Node #0,0
Current State: 91:[16, 48, 94], Operations: ['48+46=94']
Exploring Operation: 48/16=3, Resulting Numbers: [94, 3]
Generated Node #0,0,1: 91:[94, 3] Operation: 48/16=3
Moving to Node #0,0,1
Current State: 91:[94, 3], Operations: ['48+46=94', '48/16=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
57,
94,
21,
59
] | 36 | [
"57*59=3363",
"21+3363=3384",
"3384/94=36"
] | Current State: 36:[57, 94, 21, 59], Operations: []
Exploring Operation: 57*59=3363, Resulting Numbers: [94, 21, 3363]
Generated Node #2: [94, 21, 3363] from Operation: 57*59=3363
Current State: 36:[94, 21, 3363], Operations: ['57*59=3363']
Exploring Operation: 21+3363=3384, Resulting Numbers: [94, 3384]
Generated Node #3: [94, 3384] from Operation: 21+3363=3384
Current State: 36:[94, 3384], Operations: ['57*59=3363', '21+3363=3384']
Exploring Operation: 3384/94=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[57, 94, 21, 59], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [57, 21, 35]
Generated Node #0,0: 36:[57, 21, 35] Operation: 94-59=35
Moving to Node #0,0
Current State: 36:[57, 21, 35], Operations: ['94-59=35']
Exploring Operation: 57-21=36, Resulting Numbers: [35, 36]
Generated Node #0,0,0: 36:[35, 36] Operation: 57-21=36
Moving to Node #0,0,0
Current State: 36:[35, 36], Operations: ['94-59=35', '57-21=36']
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
70,
35,
29,
38
] | 32 | [
"70-35=35",
"29+38=67",
"67-35=32"
] | Current State: 32:[70, 35, 29, 38], Operations: []
Exploring Operation: 70-35=35, Resulting Numbers: [29, 38, 35]
Generated Node #2: [29, 38, 35] from Operation: 70-35=35
Current State: 32:[29, 38, 35], Operations: ['70-35=35']
Exploring Operation: 29+38=67, Resulting Numbers: [35, 67]
Generated Node #3: [35, 67] from Operation: 29+38=67
Current State: 32:[35, 67], Operations: ['70-35=35', '29+38=67']
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[70, 35, 29, 38], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [29, 38, 2]
Generated Node #0,0: 32:[29, 38, 2] Operation: 70/35=2
Exploring Operation: 70-38=32, Resulting Numbers: [35, 29, 32]
Generated Node #0,1: 32:[35, 29, 32] Operation: 70-38=32
Moving to Node #0,1
Current State: 32:[35, 29, 32], Operations: ['70-38=32']
Exploring Operation: 35-29=6, Resulting Numbers: [32, 6]
Generated Node #0,1,0: 32:[32, 6] Operation: 35-29=6
Exploring Operation: 35-32=3, Resulting Numbers: [29, 3]
Generated Node #0,1,1: 32:[29, 3] Operation: 35-32=3
Moving to Node #0,0
Current State: 32:[29, 38, 2], Operations: ['70/35=2']
Exploring Operation: 38-29=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 32:[2, 9] Operation: 38-29=9
Exploring Operation: 38/2=19, Resulting Numbers: [29, 19]
Generated Node #0,0,1: 32:[29, 19] Operation: 38/2=19
Moving to Node #0,0,0
Current State: 32:[2, 9], Operations: ['70/35=2', '38-29=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[32, 6], Operations: ['70-38=32', '35-29=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[29, 3], Operations: ['70-38=32', '35-32=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[70, 35, 29, 38], Operations: []
Exploring Operation: 70-38=32, Resulting Numbers: [35, 29, 32]
Generated Node #0,1: 32:[35, 29, 32] Operation: 70-38=32
Moving to Node #0,1
Current State: 32:[35, 29, 32], Operations: ['70-38=32']
Exploring Operation: 35-32=3, Resulting Numbers: [29, 3]
Generated Node #0,1,1: 32:[29, 3] Operation: 35-32=3
Moving to Node #0,1,1
Current State: 32:[29, 3], Operations: ['70-38=32', '35-32=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
11,
24,
13,
91
] | 76 | [
"11*13=143",
"91-24=67",
"143-67=76"
] | Current State: 76:[11, 24, 13, 91], Operations: []
Exploring Operation: 11*13=143, Resulting Numbers: [24, 91, 143]
Generated Node #2: [24, 91, 143] from Operation: 11*13=143
Current State: 76:[24, 91, 143], Operations: ['11*13=143']
Exploring Operation: 91-24=67, Resulting Numbers: [143, 67]
Generated Node #3: [143, 67] from Operation: 91-24=67
Current State: 76:[143, 67], Operations: ['11*13=143', '91-24=67']
Exploring Operation: 143-67=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[11, 24, 13, 91], Operations: []
Exploring Operation: 91-13=78, Resulting Numbers: [11, 24, 78]
Generated Node #0,0: 76:[11, 24, 78] Operation: 91-13=78
Exploring Operation: 91-11=80, Resulting Numbers: [24, 13, 80]
Generated Node #0,1: 76:[24, 13, 80] Operation: 91-11=80
Exploring Operation: 91/13=7, Resulting Numbers: [11, 24, 7]
Generated Node #0,2: 76:[11, 24, 7] Operation: 91/13=7
Exploring Operation: 13-11=2, Resulting Numbers: [24, 91, 2]
Generated Node #0,3: 76:[24, 91, 2] Operation: 13-11=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[11, 24, 78], Operations: ['91-13=78']
Exploring Operation: 11+78=89, Resulting Numbers: [24, 89]
Generated Node #0,0,0: 76:[24, 89] Operation: 11+78=89
Exploring Operation: 78-11=67, Resulting Numbers: [24, 67]
Generated Node #0,0,1: 76:[24, 67] Operation: 78-11=67
Exploring Operation: 11+24=35, Resulting Numbers: [78, 35]
Generated Node #0,0,2: 76:[78, 35] Operation: 11+24=35
Exploring Operation: 24-11=13, Resulting Numbers: [78, 13]
Generated Node #0,0,3: 76:[78, 13] Operation: 24-11=13
Moving to Node #0,0,2
Current State: 76:[78, 35], Operations: ['91-13=78', '11+24=35']
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 78+35=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 78*35=2730, Resulting Numbers: [2730]
2730,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[78, 13], Operations: ['91-13=78', '24-11=13']
Exploring Operation: 78*13=1014, Resulting Numbers: [1014]
1014,76 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,76 unequal: No Solution
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[24, 67], Operations: ['91-13=78', '78-11=67']
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 24*67=1608, Resulting Numbers: [1608]
1608,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[24, 89], Operations: ['91-13=78', '11+78=89']
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,76 unequal: No Solution
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[24, 13, 80], Operations: ['91-11=80']
Exploring Operation: 80-13=67, Resulting Numbers: [24, 67]
Generated Node #0,1,0: 76:[24, 67] Operation: 80-13=67
Exploring Operation: 13+80=93, Resulting Numbers: [24, 93]
Generated Node #0,1,1: 76:[24, 93] Operation: 13+80=93
Exploring Operation: 24+13=37, Resulting Numbers: [80, 37]
Generated Node #0,1,2: 76:[80, 37] Operation: 24+13=37
Exploring Operation: 24-13=11, Resulting Numbers: [80, 11]
Generated Node #0,1,3: 76:[80, 11] Operation: 24-13=11
Moving to Node #0,1,2
Current State: 76:[80, 37], Operations: ['91-11=80', '24+13=37']
Exploring Operation: 80+37=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 80*37=2960, Resulting Numbers: [2960]
2960,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[80, 11], Operations: ['91-11=80', '24-13=11']
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,76 unequal: No Solution
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[24, 67], Operations: ['91-11=80', '80-13=67']
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 24*67=1608, Resulting Numbers: [1608]
1608,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[24, 93], Operations: ['91-11=80', '13+80=93']
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 24*93=2232, Resulting Numbers: [2232]
2232,76 unequal: No Solution
Exploring Operation: 24+93=117, Resulting Numbers: [117]
117,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[11, 24, 7], Operations: ['91/13=7']
Exploring Operation: 11-7=4, Resulting Numbers: [24, 4]
Generated Node #0,2,0: 76:[24, 4] Operation: 11-7=4
Exploring Operation: 11*7=77, Resulting Numbers: [24, 77]
Generated Node #0,2,1: 76:[24, 77] Operation: 11*7=77
Exploring Operation: 11+7=18, Resulting Numbers: [24, 18]
Generated Node #0,2,2: 76:[24, 18] Operation: 11+7=18
Exploring Operation: 11+24=35, Resulting Numbers: [7, 35]
Generated Node #0,2,3: 76:[7, 35] Operation: 11+24=35
Moving to Node #0,2,0
Current State: 76:[24, 4], Operations: ['91/13=7', '11-7=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[24, 18], Operations: ['91/13=7', '11+7=18']
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,76 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[24, 77], Operations: ['91/13=7', '11*7=77']
Exploring Operation: 24+77=101, Resulting Numbers: [101]
101,76 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,76 unequal: No Solution
Exploring Operation: 24*77=1848, Resulting Numbers: [1848]
1848,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[7, 35], Operations: ['91/13=7', '11+24=35']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 7*35=245, Resulting Numbers: [245]
245,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[24, 91, 2], Operations: ['13-11=2']
Exploring Operation: 91-2=89, Resulting Numbers: [24, 89]
Generated Node #0,3,0: 76:[24, 89] Operation: 91-2=89
Exploring Operation: 24+2=26, Resulting Numbers: [91, 26]
Generated Node #0,3,1: 76:[91, 26] Operation: 24+2=26
Exploring Operation: 24-2=22, Resulting Numbers: [91, 22]
Generated Node #0,3,2: 76:[91, 22] Operation: 24-2=22
Exploring Operation: 91-24=67, Resulting Numbers: [2, 67]
Generated Node #0,3,3: 76:[2, 67] Operation: 91-24=67
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 76:[2, 67], Operations: ['13-11=2', '91-24=67']
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,76 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 76:[24, 89], Operations: ['13-11=2', '91-2=89']
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,76 unequal: No Solution
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[91, 22], Operations: ['13-11=2', '24-2=22']
Exploring Operation: 91*22=2002, Resulting Numbers: [2002]
2002,76 unequal: No Solution
Exploring Operation: 91+22=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 76:[91, 26], Operations: ['13-11=2', '24+2=26']
Exploring Operation: 91+26=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,76 unequal: No Solution
Exploring Operation: 91*26=2366, Resulting Numbers: [2366]
2366,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
6,
8,
60
] | 98 | [
"4*8=32",
"6+60=66",
"32+66=98"
] | Current State: 98:[4, 6, 8, 60], Operations: []
Exploring Operation: 4*8=32, Resulting Numbers: [6, 60, 32]
Generated Node #2: [6, 60, 32] from Operation: 4*8=32
Current State: 98:[6, 60, 32], Operations: ['4*8=32']
Exploring Operation: 6+60=66, Resulting Numbers: [32, 66]
Generated Node #3: [32, 66] from Operation: 6+60=66
Current State: 98:[32, 66], Operations: ['4*8=32', '6+60=66']
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[4, 6, 8, 60], Operations: []
Exploring Operation: 60-8=52, Resulting Numbers: [4, 6, 52]
Generated Node #0,0: 98:[4, 6, 52] Operation: 60-8=52
Exploring Operation: 60-4=56, Resulting Numbers: [6, 8, 56]
Generated Node #0,1: 98:[6, 8, 56] Operation: 60-4=56
Exploring Operation: 60/6=10, Resulting Numbers: [4, 8, 10]
Generated Node #0,2: 98:[4, 8, 10] Operation: 60/6=10
Exploring Operation: 60-6=54, Resulting Numbers: [4, 8, 54]
Generated Node #0,3: 98:[4, 8, 54] Operation: 60-6=54
Exploring Operation: 60/4=15, Resulting Numbers: [6, 8, 15]
Generated Node #0,4: 98:[6, 8, 15] Operation: 60/4=15
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[6, 8, 15], Operations: ['60/4=15']
Exploring Operation: 15-6=9, Resulting Numbers: [8, 9]
Generated Node #0,4,0: 98:[8, 9] Operation: 15-6=9
Exploring Operation: 8-6=2, Resulting Numbers: [15, 2]
Generated Node #0,4,1: 98:[15, 2] Operation: 8-6=2
Exploring Operation: 6+8=14, Resulting Numbers: [15, 14]
Generated Node #0,4,2: 98:[15, 14] Operation: 6+8=14
Exploring Operation: 15-8=7, Resulting Numbers: [6, 7]
Generated Node #0,4,3: 98:[6, 7] Operation: 15-8=7
Exploring Operation: 6*8=48, Resulting Numbers: [15, 48]
Generated Node #0,4,4: 98:[15, 48] Operation: 6*8=48
Moving to Node #0,4,1
Current State: 98:[15, 2], Operations: ['60/4=15', '8-6=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,98 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,98 unequal: No Solution
Moving to Node #0,4,3
Current State: 98:[6, 7], Operations: ['60/4=15', '15-8=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,4,2
Current State: 98:[15, 14], Operations: ['60/4=15', '6+8=14']
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,98 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,98 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Moving to Node #0,4,4
Current State: 98:[15, 48], Operations: ['60/4=15', '6*8=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,98 unequal: No Solution
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,98 unequal: No Solution
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[8, 9], Operations: ['60/4=15', '15-6=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,98 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,98 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 #0,0
Current State: 98:[4, 6, 52], Operations: ['60-8=52']
Exploring Operation: 52-4=48, Resulting Numbers: [6, 48]
Generated Node #0,0,0: 98:[6, 48] Operation: 52-4=48
Exploring Operation: 52-6=46, Resulting Numbers: [4, 46]
Generated Node #0,0,1: 98:[4, 46] Operation: 52-6=46
Exploring Operation: 4+6=10, Resulting Numbers: [52, 10]
Generated Node #0,0,2: 98:[52, 10] Operation: 4+6=10
Exploring Operation: 52/4=13, Resulting Numbers: [6, 13]
Generated Node #0,0,3: 98:[6, 13] Operation: 52/4=13
Exploring Operation: 6-4=2, Resulting Numbers: [52, 2]
Generated Node #0,0,4: 98:[52, 2] Operation: 6-4=2
Moving to Node #0,0,0
Current State: 98:[6, 48], Operations: ['60-8=52', '52-4=48']
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,98 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[6, 13], Operations: ['60-8=52', '52/4=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,98 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,98 unequal: No Solution
Moving to Node #0,0,4
Current State: 98:[52, 2], Operations: ['60-8=52', '6-4=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,98 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,98 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[4, 46], Operations: ['60-8=52', '52-6=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,98 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[52, 10], Operations: ['60-8=52', '4+6=10']
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,98 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,98 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
Current State: 98:[4, 8, 10], Operations: ['60/6=10']
Exploring Operation: 4+10=14, Resulting Numbers: [8, 14]
Generated Node #0,2,0: 98:[8, 14] Operation: 4+10=14
Exploring Operation: 10-4=6, Resulting Numbers: [8, 6]
Generated Node #0,2,1: 98:[8, 6] Operation: 10-4=6
Exploring Operation: 4+8=12, Resulting Numbers: [10, 12]
Generated Node #0,2,2: 98:[10, 12] Operation: 4+8=12
Exploring Operation: 8/4=2, Resulting Numbers: [10, 2]
Generated Node #0,2,3: 98:[10, 2] Operation: 8/4=2
Exploring Operation: 10-8=2, Resulting Numbers: [4, 2]
Generated Node #0,2,4: 98:[4, 2] Operation: 10-8=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[8, 14], Operations: ['60/6=10', '4+10=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,98 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,98 unequal: No Solution
No 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: 98:[8, 6], Operations: ['60/6=10', '10-4=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,98 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,98 unequal: No Solution
No 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: 98:[4, 2], Operations: ['60/6=10', '10-8=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
No 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: 98:[10, 2], Operations: ['60/6=10', '8/4=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,98 unequal: No Solution
No 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: 98:[10, 12], Operations: ['60/6=10', '4+8=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,98 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,98 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[4, 8, 54], Operations: ['60-6=54']
Exploring Operation: 8-4=4, Resulting Numbers: [54, 4]
Generated Node #0,3,0: 98:[54, 4] Operation: 8-4=4
Exploring Operation: 4+8=12, Resulting Numbers: [54, 12]
Generated Node #0,3,1: 98:[54, 12] Operation: 4+8=12
Exploring Operation: 54-8=46, Resulting Numbers: [4, 46]
Generated Node #0,3,2: 98:[4, 46] Operation: 54-8=46
Exploring Operation: 54-4=50, Resulting Numbers: [8, 50]
Generated Node #0,3,3: 98:[8, 50] Operation: 54-4=50
Exploring Operation: 8/4=2, Resulting Numbers: [54, 2]
Generated Node #0,3,4: 98:[54, 2] Operation: 8/4=2
Moving to Node #0,3,3
Current State: 98:[8, 50], Operations: ['60-6=54', '54-4=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,98 unequal: No Solution
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[54, 2], Operations: ['60-6=54', '8/4=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,98 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[4, 46], Operations: ['60-6=54', '54-8=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[54, 4], Operations: ['60-6=54', '8-4=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,98 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[54, 12], Operations: ['60-6=54', '4+8=12']
Exploring Operation: 54*12=648, Resulting Numbers: [648]
648,98 unequal: No Solution
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,98 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 #0,1
Current State: 98:[6, 8, 56], Operations: ['60-4=56']
Exploring Operation: 8-6=2, Resulting Numbers: [56, 2]
Generated Node #0,1,0: 98:[56, 2] Operation: 8-6=2
Exploring Operation: 56/8=7, Resulting Numbers: [6, 7]
Generated Node #0,1,1: 98:[6, 7] Operation: 56/8=7
Exploring Operation: 56-6=50, Resulting Numbers: [8, 50]
Generated Node #0,1,2: 98:[8, 50] Operation: 56-6=50
Exploring Operation: 56-8=48, Resulting Numbers: [6, 48]
Generated Node #0,1,3: 98:[6, 48] Operation: 56-8=48
Exploring Operation: 6+8=14, Resulting Numbers: [56, 14]
Generated Node #0,1,4: 98:[56, 14] Operation: 6+8=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 98:[6, 7], Operations: ['60-4=56', '56/8=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,98 unequal: No Solution
No 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: 98:[8, 50], Operations: ['60-4=56', '56-6=50']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,98 unequal: No Solution
No 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: 98:[6, 48], Operations: ['60-4=56', '56-8=48']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,98 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,98 unequal: No Solution
No 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: 98:[56, 2], Operations: ['60-4=56', '8-6=2']
Exploring Operation: 56*2=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 98:[56, 14], Operations: ['60-4=56', '6+8=14']
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,98 unequal: No Solution
Exploring Operation: 56*14=784, Resulting Numbers: [784]
784,98 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_5 | sum_heuristic |
[
11,
26,
58,
30
] | 34 | [
"58+30=88",
"88/11=8",
"26+8=34"
] | Current State: 34:[11, 26, 58, 30], Operations: []
Exploring Operation: 58+30=88, Resulting Numbers: [11, 26, 88]
Generated Node #2: [11, 26, 88] from Operation: 58+30=88
Current State: 34:[11, 26, 88], Operations: ['58+30=88']
Exploring Operation: 88/11=8, Resulting Numbers: [26, 8]
Generated Node #3: [26, 8] from Operation: 88/11=8
Current State: 34:[26, 8], Operations: ['58+30=88', '88/11=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[11, 26, 58, 30], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [11, 26, 28]
Generated Node #0,0: 34:[11, 26, 28] Operation: 58-30=28
Exploring Operation: 58-11=47, Resulting Numbers: [26, 30, 47]
Generated Node #0,1: 34:[26, 30, 47] Operation: 58-11=47
Exploring Operation: 26-11=15, Resulting Numbers: [58, 30, 15]
Generated Node #0,2: 34:[58, 30, 15] Operation: 26-11=15
Exploring Operation: 58-26=32, Resulting Numbers: [11, 30, 32]
Generated Node #0,3: 34:[11, 30, 32] Operation: 58-26=32
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[11, 30, 32], Operations: ['58-26=32']
Exploring Operation: 30-11=19, Resulting Numbers: [32, 19]
Generated Node #0,3,0: 34:[32, 19] Operation: 30-11=19
Exploring Operation: 32-11=21, Resulting Numbers: [30, 21]
Generated Node #0,3,1: 34:[30, 21] Operation: 32-11=21
Exploring Operation: 32-30=2, Resulting Numbers: [11, 2]
Generated Node #0,3,2: 34:[11, 2] Operation: 32-30=2
Exploring Operation: 11+30=41, Resulting Numbers: [32, 41]
Generated Node #0,3,3: 34:[32, 41] Operation: 11+30=41
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 34:[32, 19], Operations: ['58-26=32', '30-11=19']
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 32*19=608, Resulting Numbers: [608]
608,34 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 34:[11, 2], Operations: ['58-26=32', '32-30=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 34:[30, 21], Operations: ['58-26=32', '32-11=21']
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,34 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 34:[32, 41], Operations: ['58-26=32', '11+30=41']
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,34 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[11, 26, 28], Operations: ['58-30=28']
Exploring Operation: 28-11=17, Resulting Numbers: [26, 17]
Generated Node #0,0,0: 34:[26, 17] Operation: 28-11=17
Exploring Operation: 26-11=15, Resulting Numbers: [28, 15]
Generated Node #0,0,1: 34:[28, 15] Operation: 26-11=15
Exploring Operation: 28-26=2, Resulting Numbers: [11, 2]
Generated Node #0,0,2: 34:[11, 2] Operation: 28-26=2
Exploring Operation: 11+26=37, Resulting Numbers: [28, 37]
Generated Node #0,0,3: 34:[28, 37] Operation: 11+26=37
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 34:[11, 2], Operations: ['58-30=28', '28-26=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 34:[26, 17], Operations: ['58-30=28', '28-11=17']
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,34 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 34:[28, 15], Operations: ['58-30=28', '26-11=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 34:[28, 37], Operations: ['58-30=28', '11+26=37']
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,34 unequal: No Solution
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[26, 30, 47], Operations: ['58-11=47']
Exploring Operation: 26+30=56, Resulting Numbers: [47, 56]
Generated Node #0,1,0: 34:[47, 56] Operation: 26+30=56
Exploring Operation: 30-26=4, Resulting Numbers: [47, 4]
Generated Node #0,1,1: 34:[47, 4] Operation: 30-26=4
Exploring Operation: 47-30=17, Resulting Numbers: [26, 17]
Generated Node #0,1,2: 34:[26, 17] Operation: 47-30=17
Exploring Operation: 47-26=21, Resulting Numbers: [30, 21]
Generated Node #0,1,3: 34:[30, 21] Operation: 47-26=21
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[26, 17], Operations: ['58-11=47', '47-30=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,34 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 34:[30, 21], Operations: ['58-11=47', '47-26=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[47, 4], Operations: ['58-11=47', '30-26=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 47*4=188, Resulting Numbers: [188]
188,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[47, 56], Operations: ['58-11=47', '26+30=56']
Exploring Operation: 47*56=2632, Resulting Numbers: [2632]
2632,34 unequal: No Solution
Exploring Operation: 47+56=103, Resulting Numbers: [103]
103,34 unequal: No Solution
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[58, 30, 15], Operations: ['26-11=15']
Exploring Operation: 58-15=43, Resulting Numbers: [30, 43]
Generated Node #0,2,0: 34:[30, 43] Operation: 58-15=43
Exploring Operation: 30/15=2, Resulting Numbers: [58, 2]
Generated Node #0,2,1: 34:[58, 2] Operation: 30/15=2
Exploring Operation: 30-15=15, Resulting Numbers: [58, 15]
Generated Node #0,2,2: 34:[58, 15] Operation: 30-15=15
Exploring Operation: 58-30=28, Resulting Numbers: [15, 28]
Generated Node #0,2,3: 34:[15, 28] Operation: 58-30=28
Moving to Node #0,2,3
Current State: 34:[15, 28], Operations: ['26-11=15', '58-30=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 15*28=420, Resulting Numbers: [420]
420,34 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[30, 43], Operations: ['26-11=15', '58-15=43']
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 30*43=1290, Resulting Numbers: [1290]
1290,34 unequal: No Solution
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[58, 2], Operations: ['26-11=15', '30/15=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,34 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[58, 15], Operations: ['26-11=15', '30-15=15']
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,34 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,34 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
44,
33,
58,
35
] | 12 | [
"44-33=11",
"58-35=23",
"23-11=12"
] | Current State: 12:[44, 33, 58, 35], Operations: []
Exploring Operation: 44-33=11, Resulting Numbers: [58, 35, 11]
Generated Node #2: [58, 35, 11] from Operation: 44-33=11
Current State: 12:[58, 35, 11], Operations: ['44-33=11']
Exploring Operation: 58-35=23, Resulting Numbers: [11, 23]
Generated Node #3: [11, 23] from Operation: 58-35=23
Current State: 12:[11, 23], Operations: ['44-33=11', '58-35=23']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[44, 33, 58, 35], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [44, 33, 23]
Generated Node #0,0: 12:[44, 33, 23] Operation: 58-35=23
Exploring Operation: 58-44=14, Resulting Numbers: [33, 35, 14]
Generated Node #0,1: 12:[33, 35, 14] Operation: 58-44=14
Exploring Operation: 58-33=25, Resulting Numbers: [44, 35, 25]
Generated Node #0,2: 12:[44, 35, 25] Operation: 58-33=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[33, 35, 14], Operations: ['58-44=14']
Exploring Operation: 35-33=2, Resulting Numbers: [14, 2]
Generated Node #0,1,0: 12:[14, 2] Operation: 35-33=2
Exploring Operation: 33-14=19, Resulting Numbers: [35, 19]
Generated Node #0,1,1: 12:[35, 19] Operation: 33-14=19
Exploring Operation: 35-14=21, Resulting Numbers: [33, 21]
Generated Node #0,1,2: 12:[33, 21] Operation: 35-14=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[14, 2], Operations: ['58-44=14', '35-33=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[44, 33, 58, 35], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [33, 35, 14]
Generated Node #0,1: 12:[33, 35, 14] Operation: 58-44=14
Moving to Node #0,1
Current State: 12:[33, 35, 14], Operations: ['58-44=14']
Exploring Operation: 35-33=2, Resulting Numbers: [14, 2]
Generated Node #0,1,0: 12:[14, 2] Operation: 35-33=2
Moving to Node #0,1,0
Current State: 12:[14, 2], Operations: ['58-44=14', '35-33=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
33,
10,
38,
43
] | 28 | [
"33-10=23",
"43-38=5",
"23+5=28"
] | Current State: 28:[33, 10, 38, 43], Operations: []
Exploring Operation: 33-10=23, Resulting Numbers: [38, 43, 23]
Generated Node #2: [38, 43, 23] from Operation: 33-10=23
Current State: 28:[38, 43, 23], Operations: ['33-10=23']
Exploring Operation: 43-38=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 43-38=5
Current State: 28:[23, 5], Operations: ['33-10=23', '43-38=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[33, 10, 38, 43], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [10, 38, 10]
Generated Node #0,0: 28:[10, 38, 10] Operation: 43-33=10
Exploring Operation: 38-33=5, Resulting Numbers: [10, 43, 5]
Generated Node #0,1: 28:[10, 43, 5] Operation: 38-33=5
Exploring Operation: 43-38=5, Resulting Numbers: [33, 10, 5]
Generated Node #0,2: 28:[33, 10, 5] Operation: 43-38=5
Moving to Node #0,2
Current State: 28:[33, 10, 5], Operations: ['43-38=5']
Exploring Operation: 33-5=28, Resulting Numbers: [10, 28]
Generated Node #0,2,0: 28:[10, 28] Operation: 33-5=28
Exploring Operation: 33-10=23, Resulting Numbers: [5, 23]
Generated Node #0,2,1: 28:[5, 23] Operation: 33-10=23
Exploring Operation: 10/5=2, Resulting Numbers: [33, 2]
Generated Node #0,2,2: 28:[33, 2] Operation: 10/5=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[10, 28], Operations: ['43-38=5', '33-5=28']
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,28 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,28 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 #0,2,2
Current State: 28:[33, 2], Operations: ['43-38=5', '10/5=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,28 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 #0,2,1
Current State: 28:[5, 23], Operations: ['43-38=5', '33-10=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[33, 10, 38, 43], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [33, 10, 5]
Generated Node #0,2: 28:[33, 10, 5] Operation: 43-38=5
Moving to Node #0,2
Current State: 28:[33, 10, 5], Operations: ['43-38=5']
Exploring Operation: 33-10=23, Resulting Numbers: [5, 23]
Generated Node #0,2,1: 28:[5, 23] Operation: 33-10=23
Moving to Node #0,2,1
Current State: 28:[5, 23], Operations: ['43-38=5', '33-10=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
27,
57,
57,
88
] | 60 | [
"88-27=61",
"57/57=1",
"61-1=60"
] | Current State: 60:[27, 57, 57, 88], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [57, 57, 61]
Generated Node #2: [57, 57, 61] from Operation: 88-27=61
Current State: 60:[57, 57, 61], Operations: ['88-27=61']
Exploring Operation: 57/57=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 57/57=1
Current State: 60:[61, 1], Operations: ['88-27=61', '57/57=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[27, 57, 57, 88], Operations: []
Exploring Operation: 88-57=31, Resulting Numbers: [27, 57, 31]
Generated Node #0,0: 60:[27, 57, 31] Operation: 88-57=31
Exploring Operation: 88-57=31, Resulting Numbers: [27, 57, 31]
Generated Node #0,1: 60:[27, 57, 31] Operation: 88-57=31
Exploring Operation: 57-27=30, Resulting Numbers: [57, 88, 30]
Generated Node #0,2: 60:[57, 88, 30] Operation: 57-27=30
Exploring Operation: 88-27=61, Resulting Numbers: [57, 57, 61]
Generated Node #0,3: 60:[57, 57, 61] Operation: 88-27=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[27, 57, 31], Operations: ['88-57=31']
Exploring Operation: 31-27=4, Resulting Numbers: [57, 4]
Generated Node #0,0,0: 60:[57, 4] Operation: 31-27=4
Exploring Operation: 57-27=30, Resulting Numbers: [31, 30]
Generated Node #0,0,1: 60:[31, 30] Operation: 57-27=30
Exploring Operation: 57-31=26, Resulting Numbers: [27, 26]
Generated Node #0,0,2: 60:[27, 26] Operation: 57-31=26
Exploring Operation: 27+31=58, Resulting Numbers: [57, 58]
Generated Node #0,0,3: 60:[57, 58] Operation: 27+31=58
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[31, 30], Operations: ['88-57=31', '57-27=30']
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,60 unequal: No Solution
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[57, 4], Operations: ['88-57=31', '31-27=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,60 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,60 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 60:[57, 58], Operations: ['88-57=31', '27+31=58']
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 57*58=3306, Resulting Numbers: [3306]
3306,60 unequal: No Solution
Exploring Operation: 57+58=115, Resulting Numbers: [115]
115,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 60:[27, 26], Operations: ['88-57=31', '57-31=26']
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,60 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[27, 57, 31], Operations: ['88-57=31']
Exploring Operation: 31-27=4, Resulting Numbers: [57, 4]
Generated Node #0,1,0: 60:[57, 4] Operation: 31-27=4
Exploring Operation: 57-31=26, Resulting Numbers: [27, 26]
Generated Node #0,1,1: 60:[27, 26] Operation: 57-31=26
Exploring Operation: 57-27=30, Resulting Numbers: [31, 30]
Generated Node #0,1,2: 60:[31, 30] Operation: 57-27=30
Exploring Operation: 27+31=58, Resulting Numbers: [57, 58]
Generated Node #0,1,3: 60:[57, 58] Operation: 27+31=58
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[31, 30], Operations: ['88-57=31', '57-27=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,60 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,60 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[57, 4], Operations: ['88-57=31', '31-27=4']
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,60 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 60:[57, 58], Operations: ['88-57=31', '27+31=58']
Exploring Operation: 57+58=115, Resulting Numbers: [115]
115,60 unequal: No Solution
Exploring Operation: 57*58=3306, Resulting Numbers: [3306]
3306,60 unequal: No Solution
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[27, 26], Operations: ['88-57=31', '57-31=26']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 60:[57, 57, 61], Operations: ['88-27=61']
Exploring Operation: 57-57=0, Resulting Numbers: [61, 0]
Generated Node #0,3,0: 60:[61, 0] Operation: 57-57=0
Exploring Operation: 61-57=4, Resulting Numbers: [57, 4]
Generated Node #0,3,1: 60:[57, 4] Operation: 61-57=4
Exploring Operation: 57/57=1, Resulting Numbers: [61, 1]
Generated Node #0,3,2: 60:[61, 1] Operation: 57/57=1
Exploring Operation: 61-57=4, Resulting Numbers: [57, 4]
Generated Node #0,3,3: 60:[57, 4] Operation: 61-57=4
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 60:[61, 1], Operations: ['88-27=61', '57/57=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,60 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,60 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,60 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[27, 57, 57, 88], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [57, 57, 61]
Generated Node #0,3: 60:[57, 57, 61] Operation: 88-27=61
Moving to Node #0,3
Current State: 60:[57, 57, 61], Operations: ['88-27=61']
Exploring Operation: 57/57=1, Resulting Numbers: [61, 1]
Generated Node #0,3,2: 60:[61, 1] Operation: 57/57=1
Moving to Node #0,3,2
Current State: 60:[61, 1], Operations: ['88-27=61', '57/57=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.958333 | hs_4 | mult_heuristic |
[
67,
71,
22,
86
] | 60 | [
"71-67=4",
"86-22=64",
"64-4=60"
] | Current State: 60:[67, 71, 22, 86], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [22, 86, 4]
Generated Node #2: [22, 86, 4] from Operation: 71-67=4
Current State: 60:[22, 86, 4], Operations: ['71-67=4']
Exploring Operation: 86-22=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 86-22=64
Current State: 60:[4, 64], Operations: ['71-67=4', '86-22=64']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[67, 71, 22, 86], Operations: []
Exploring Operation: 86-71=15, Resulting Numbers: [67, 22, 15]
Generated Node #0,0: 60:[67, 22, 15] Operation: 86-71=15
Exploring Operation: 86-67=19, Resulting Numbers: [71, 22, 19]
Generated Node #0,1: 60:[71, 22, 19] Operation: 86-67=19
Exploring Operation: 86-22=64, Resulting Numbers: [67, 71, 64]
Generated Node #0,2: 60:[67, 71, 64] Operation: 86-22=64
Moving to Node #0,0
Current State: 60:[67, 22, 15], Operations: ['86-71=15']
Exploring Operation: 22+15=37, Resulting Numbers: [67, 37]
Generated Node #0,0,0: 60:[67, 37] Operation: 22+15=37
Exploring Operation: 67-15=52, Resulting Numbers: [22, 52]
Generated Node #0,0,1: 60:[22, 52] Operation: 67-15=52
Exploring Operation: 22-15=7, Resulting Numbers: [67, 7]
Generated Node #0,0,2: 60:[67, 7] Operation: 22-15=7
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 60:[67, 7], Operations: ['86-71=15', '22-15=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[67, 71, 22, 86], Operations: []
Exploring Operation: 86-71=15, Resulting Numbers: [67, 22, 15]
Generated Node #0,0: 60:[67, 22, 15] Operation: 86-71=15
Moving to Node #0,0
Current State: 60:[67, 22, 15], Operations: ['86-71=15']
Exploring Operation: 22-15=7, Resulting Numbers: [67, 7]
Generated Node #0,0,2: 60:[67, 7] Operation: 22-15=7
Moving to Node #0,0,2
Current State: 60:[67, 7], Operations: ['86-71=15', '22-15=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
10,
87,
95,
30
] | 60 | [
"10+87=97",
"97-95=2",
"30*2=60"
] | Current State: 60:[10, 87, 95, 30], Operations: []
Exploring Operation: 10+87=97, Resulting Numbers: [95, 30, 97]
Generated Node #2: [95, 30, 97] from Operation: 10+87=97
Current State: 60:[95, 30, 97], Operations: ['10+87=97']
Exploring Operation: 97-95=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 97-95=2
Current State: 60:[30, 2], Operations: ['10+87=97', '97-95=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[10, 87, 95, 30], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [10, 95, 57]
Generated Node #0,0: 60:[10, 95, 57] Operation: 87-30=57
Exploring Operation: 95-87=8, Resulting Numbers: [10, 30, 8]
Generated Node #0,1: 60:[10, 30, 8] Operation: 95-87=8
Exploring Operation: 95-30=65, Resulting Numbers: [10, 87, 65]
Generated Node #0,2: 60:[10, 87, 65] Operation: 95-30=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[10, 30, 8], Operations: ['95-87=8']
Exploring Operation: 30/10=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 60:[8, 3] Operation: 30/10=3
Exploring Operation: 10-8=2, Resulting Numbers: [30, 2]
Generated Node #0,1,1: 60:[30, 2] Operation: 10-8=2
Exploring Operation: 30-10=20, Resulting Numbers: [8, 20]
Generated Node #0,1,2: 60:[8, 20] Operation: 30-10=20
Moving to Node #0,1,1
Current State: 60:[30, 2], Operations: ['95-87=8', '10-8=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[10, 87, 95, 30], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [10, 30, 8]
Generated Node #0,1: 60:[10, 30, 8] Operation: 95-87=8
Moving to Node #0,1
Current State: 60:[10, 30, 8], Operations: ['95-87=8']
Exploring Operation: 10-8=2, Resulting Numbers: [30, 2]
Generated Node #0,1,1: 60:[30, 2] Operation: 10-8=2
Moving to Node #0,1,1
Current State: 60:[30, 2], Operations: ['95-87=8', '10-8=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
64,
56,
62,
21
] | 37 | [
"64+56=120",
"62+21=83",
"120-83=37"
] | Current State: 37:[64, 56, 62, 21], Operations: []
Exploring Operation: 64+56=120, Resulting Numbers: [62, 21, 120]
Generated Node #2: [62, 21, 120] from Operation: 64+56=120
Current State: 37:[62, 21, 120], Operations: ['64+56=120']
Exploring Operation: 62+21=83, Resulting Numbers: [120, 83]
Generated Node #3: [120, 83] from Operation: 62+21=83
Current State: 37:[120, 83], Operations: ['64+56=120', '62+21=83']
Exploring Operation: 120-83=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[64, 56, 62, 21], Operations: []
Exploring Operation: 64-21=43, Resulting Numbers: [56, 62, 43]
Generated Node #0,0: 37:[56, 62, 43] Operation: 64-21=43
Moving to Node #0,0
Current State: 37:[56, 62, 43], Operations: ['64-21=43']
Exploring Operation: 62-56=6, Resulting Numbers: [43, 6]
Generated Node #0,0,0: 37:[43, 6] Operation: 62-56=6
Moving to Node #0,0,0
Current State: 37:[43, 6], Operations: ['64-21=43', '62-56=6']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[64, 56, 62, 21], Operations: []
Exploring Operation: 64-21=43, Resulting Numbers: [56, 62, 43]
Generated Node #0,0: 37:[56, 62, 43] Operation: 64-21=43
Moving to Node #0,0
Current State: 37:[56, 62, 43], Operations: ['64-21=43']
Exploring Operation: 62-56=6, Resulting Numbers: [43, 6]
Generated Node #0,0,0: 37:[43, 6] Operation: 62-56=6
Moving to Node #0,0,0
Current State: 37:[43, 6], Operations: ['64-21=43', '62-56=6']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
87,
24,
75,
32
] | 20 | [
"87-24=63",
"75-32=43",
"63-43=20"
] | Current State: 20:[87, 24, 75, 32], Operations: []
Exploring Operation: 87-24=63, Resulting Numbers: [75, 32, 63]
Generated Node #2: [75, 32, 63] from Operation: 87-24=63
Current State: 20:[75, 32, 63], Operations: ['87-24=63']
Exploring Operation: 75-32=43, Resulting Numbers: [63, 43]
Generated Node #3: [63, 43] from Operation: 75-32=43
Current State: 20:[63, 43], Operations: ['87-24=63', '75-32=43']
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[87, 24, 75, 32], Operations: []
Exploring Operation: 75-24=51, Resulting Numbers: [87, 32, 51]
Generated Node #0,0: 20:[87, 32, 51] Operation: 75-24=51
Exploring Operation: 75-32=43, Resulting Numbers: [87, 24, 43]
Generated Node #0,1: 20:[87, 24, 43] Operation: 75-32=43
Exploring Operation: 87-24=63, Resulting Numbers: [75, 32, 63]
Generated Node #0,2: 20:[75, 32, 63] Operation: 87-24=63
Exploring Operation: 87-75=12, Resulting Numbers: [24, 32, 12]
Generated Node #0,3: 20:[24, 32, 12] Operation: 87-75=12
Exploring Operation: 87-32=55, Resulting Numbers: [24, 75, 55]
Generated Node #0,4: 20:[24, 75, 55] Operation: 87-32=55
Moving to Node #0,3
Current State: 20:[24, 32, 12], Operations: ['87-75=12']
Exploring Operation: 24/12=2, Resulting Numbers: [32, 2]
Generated Node #0,3,0: 20:[32, 2] Operation: 24/12=2
Exploring Operation: 24+12=36, Resulting Numbers: [32, 36]
Generated Node #0,3,1: 20:[32, 36] Operation: 24+12=36
Exploring Operation: 24-12=12, Resulting Numbers: [32, 12]
Generated Node #0,3,2: 20:[32, 12] Operation: 24-12=12
Exploring Operation: 32-24=8, Resulting Numbers: [12, 8]
Generated Node #0,3,3: 20:[12, 8] Operation: 32-24=8
Exploring Operation: 32-12=20, Resulting Numbers: [24, 20]
Generated Node #0,3,4: 20:[24, 20] Operation: 32-12=20
Moving to Node #0,4
Current State: 20:[24, 75, 55], Operations: ['87-32=55']
Exploring Operation: 75-24=51, Resulting Numbers: [55, 51]
Generated Node #0,4,0: 20:[55, 51] Operation: 75-24=51
Exploring Operation: 75-55=20, Resulting Numbers: [24, 20]
Generated Node #0,4,1: 20:[24, 20] Operation: 75-55=20
Exploring Operation: 24+55=79, Resulting Numbers: [75, 79]
Generated Node #0,4,2: 20:[75, 79] Operation: 24+55=79
Exploring Operation: 55-24=31, Resulting Numbers: [75, 31]
Generated Node #0,4,3: 20:[75, 31] Operation: 55-24=31
Exploring Operation: 24+75=99, Resulting Numbers: [55, 99]
Generated Node #0,4,4: 20:[55, 99] Operation: 24+75=99
Moving to Node #0,1
Current State: 20:[87, 24, 43], Operations: ['75-32=43']
Exploring Operation: 87-24=63, Resulting Numbers: [43, 63]
Generated Node #0,1,0: 20:[43, 63] Operation: 87-24=63
Exploring Operation: 87+43=130, Resulting Numbers: [24, 130]
Generated Node #0,1,1: 20:[24, 130] Operation: 87+43=130
Exploring Operation: 87+24=111, Resulting Numbers: [43, 111]
Generated Node #0,1,2: 20:[43, 111] Operation: 87+24=111
Exploring Operation: 87-43=44, Resulting Numbers: [24, 44]
Generated Node #0,1,3: 20:[24, 44] Operation: 87-43=44
Exploring Operation: 43-24=19, Resulting Numbers: [87, 19]
Generated Node #0,1,4: 20:[87, 19] Operation: 43-24=19
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 20:[24, 44], Operations: ['75-32=43', '87-43=44']
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,20 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[87, 24, 75, 32], Operations: []
Exploring Operation: 75-32=43, Resulting Numbers: [87, 24, 43]
Generated Node #0,1: 20:[87, 24, 43] Operation: 75-32=43
Moving to Node #0,1
Current State: 20:[87, 24, 43], Operations: ['75-32=43']
Exploring Operation: 87-43=44, Resulting Numbers: [24, 44]
Generated Node #0,1,3: 20:[24, 44] Operation: 87-43=44
Moving to Node #0,1,3
Current State: 20:[24, 44], Operations: ['75-32=43', '87-43=44']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
75,
8,
16,
93
] | 20 | [
"93-75=18",
"16/8=2",
"18+2=20"
] | Current State: 20:[75, 8, 16, 93], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [8, 16, 18]
Generated Node #2: [8, 16, 18] from Operation: 93-75=18
Current State: 20:[8, 16, 18], Operations: ['93-75=18']
Exploring Operation: 16/8=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 16/8=2
Current State: 20:[18, 2], Operations: ['93-75=18', '16/8=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[75, 8, 16, 93], Operations: []
Exploring Operation: 93-8=85, Resulting Numbers: [75, 16, 85]
Generated Node #0,0: 20:[75, 16, 85] Operation: 93-8=85
Exploring Operation: 75-8=67, Resulting Numbers: [16, 93, 67]
Generated Node #0,1: 20:[16, 93, 67] Operation: 75-8=67
Exploring Operation: 93-16=77, Resulting Numbers: [75, 8, 77]
Generated Node #0,2: 20:[75, 8, 77] Operation: 93-16=77
Exploring Operation: 75-16=59, Resulting Numbers: [8, 93, 59]
Generated Node #0,3: 20:[8, 93, 59] Operation: 75-16=59
Exploring Operation: 93-75=18, Resulting Numbers: [8, 16, 18]
Generated Node #0,4: 20:[8, 16, 18] Operation: 93-75=18
Moving to Node #0,4
Current State: 20:[8, 16, 18], Operations: ['93-75=18']
Exploring Operation: 18-16=2, Resulting Numbers: [8, 2]
Generated Node #0,4,0: 20:[8, 2] Operation: 18-16=2
Exploring Operation: 16/8=2, Resulting Numbers: [18, 2]
Generated Node #0,4,1: 20:[18, 2] Operation: 16/8=2
Exploring Operation: 8+16=24, Resulting Numbers: [18, 24]
Generated Node #0,4,2: 20:[18, 24] Operation: 8+16=24
Exploring Operation: 18-8=10, Resulting Numbers: [16, 10]
Generated Node #0,4,3: 20:[16, 10] Operation: 18-8=10
Exploring Operation: 16-8=8, Resulting Numbers: [18, 8]
Generated Node #0,4,4: 20:[18, 8] Operation: 16-8=8
Moving to Node #0,3
Current State: 20:[8, 93, 59], Operations: ['75-16=59']
Exploring Operation: 93-8=85, Resulting Numbers: [59, 85]
Generated Node #0,3,0: 20:[59, 85] Operation: 93-8=85
Exploring Operation: 8+59=67, Resulting Numbers: [93, 67]
Generated Node #0,3,1: 20:[93, 67] Operation: 8+59=67
Exploring Operation: 59-8=51, Resulting Numbers: [93, 51]
Generated Node #0,3,2: 20:[93, 51] Operation: 59-8=51
Exploring Operation: 8+93=101, Resulting Numbers: [59, 101]
Generated Node #0,3,3: 20:[59, 101] Operation: 8+93=101
Exploring Operation: 93-59=34, Resulting Numbers: [8, 34]
Generated Node #0,3,4: 20:[8, 34] Operation: 93-59=34
Moving to Node #0,2
Current State: 20:[75, 8, 77], Operations: ['93-16=77']
Exploring Operation: 75+8=83, Resulting Numbers: [77, 83]
Generated Node #0,2,0: 20:[77, 83] Operation: 75+8=83
Exploring Operation: 8+77=85, Resulting Numbers: [75, 85]
Generated Node #0,2,1: 20:[75, 85] Operation: 8+77=85
Exploring Operation: 77-8=69, Resulting Numbers: [75, 69]
Generated Node #0,2,2: 20:[75, 69] Operation: 77-8=69
Exploring Operation: 75-8=67, Resulting Numbers: [77, 67]
Generated Node #0,2,3: 20:[77, 67] Operation: 75-8=67
Exploring Operation: 77-75=2, Resulting Numbers: [8, 2]
Generated Node #0,2,4: 20:[8, 2] Operation: 77-75=2
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 20:[8, 2], Operations: ['93-16=77', '77-75=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[75, 69], Operations: ['93-16=77', '77-8=69']
Exploring Operation: 75*69=5175, Resulting Numbers: [5175]
5175,20 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 75+69=144, Resulting Numbers: [144]
144,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 20:[77, 67], Operations: ['93-16=77', '75-8=67']
Exploring Operation: 77+67=144, Resulting Numbers: [144]
144,20 unequal: No Solution
Exploring Operation: 77*67=5159, Resulting Numbers: [5159]
5159,20 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 20:[77, 83], Operations: ['93-16=77', '75+8=83']
Exploring Operation: 83-77=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 77+83=160, Resulting Numbers: [160]
160,20 unequal: No Solution
Exploring Operation: 77*83=6391, Resulting Numbers: [6391]
6391,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[75, 85], Operations: ['93-16=77', '8+77=85']
Exploring Operation: 75*85=6375, Resulting Numbers: [6375]
6375,20 unequal: No Solution
Exploring Operation: 75+85=160, Resulting Numbers: [160]
160,20 unequal: No Solution
Exploring Operation: 85-75=10, Resulting Numbers: [10]
10,20 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: 20:[75, 16, 85], Operations: ['93-8=85']
Exploring Operation: 75+16=91, Resulting Numbers: [85, 91]
Generated Node #0,0,0: 20:[85, 91] Operation: 75+16=91
Exploring Operation: 85-75=10, Resulting Numbers: [16, 10]
Generated Node #0,0,1: 20:[16, 10] Operation: 85-75=10
Exploring Operation: 75-16=59, Resulting Numbers: [85, 59]
Generated Node #0,0,2: 20:[85, 59] Operation: 75-16=59
Exploring Operation: 16+85=101, Resulting Numbers: [75, 101]
Generated Node #0,0,3: 20:[75, 101] Operation: 16+85=101
Exploring Operation: 85-16=69, Resulting Numbers: [75, 69]
Generated Node #0,0,4: 20:[75, 69] Operation: 85-16=69
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[16, 10], Operations: ['93-8=85', '85-75=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,20 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[85, 59], Operations: ['93-8=85', '75-16=59']
Exploring Operation: 85+59=144, Resulting Numbers: [144]
144,20 unequal: No Solution
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,20 unequal: No Solution
Exploring Operation: 85*59=5015, Resulting Numbers: [5015]
5015,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 20:[75, 69], Operations: ['93-8=85', '85-16=69']
Exploring Operation: 75*69=5175, Resulting Numbers: [5175]
5175,20 unequal: No Solution
Exploring Operation: 75+69=144, Resulting Numbers: [144]
144,20 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[85, 91], Operations: ['93-8=85', '75+16=91']
Exploring Operation: 85+91=176, Resulting Numbers: [176]
176,20 unequal: No Solution
Exploring Operation: 91-85=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 85*91=7735, Resulting Numbers: [7735]
7735,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 20:[75, 101], Operations: ['93-8=85', '16+85=101']
Exploring Operation: 75*101=7575, Resulting Numbers: [7575]
7575,20 unequal: No Solution
Exploring Operation: 75+101=176, Resulting Numbers: [176]
176,20 unequal: No Solution
Exploring Operation: 101-75=26, Resulting Numbers: [26]
26,20 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: 20:[16, 93, 67], Operations: ['75-8=67']
Exploring Operation: 16+93=109, Resulting Numbers: [67, 109]
Generated Node #0,1,0: 20:[67, 109] Operation: 16+93=109
Exploring Operation: 93-16=77, Resulting Numbers: [67, 77]
Generated Node #0,1,1: 20:[67, 77] Operation: 93-16=77
Exploring Operation: 93-67=26, Resulting Numbers: [16, 26]
Generated Node #0,1,2: 20:[16, 26] Operation: 93-67=26
Exploring Operation: 16+67=83, Resulting Numbers: [93, 83]
Generated Node #0,1,3: 20:[93, 83] Operation: 16+67=83
Exploring Operation: 67-16=51, Resulting Numbers: [93, 51]
Generated Node #0,1,4: 20:[93, 51] Operation: 67-16=51
Moving to Node #0,4,0
Current State: 20:[8, 2], Operations: ['93-75=18', '18-16=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Moving to Node #0,4,1
Current State: 20:[18, 2], Operations: ['93-75=18', '16/8=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[75, 8, 16, 93], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [8, 16, 18]
Generated Node #0,4: 20:[8, 16, 18] Operation: 93-75=18
Moving to Node #0,4
Current State: 20:[8, 16, 18], Operations: ['93-75=18']
Exploring Operation: 16/8=2, Resulting Numbers: [18, 2]
Generated Node #0,4,1: 20:[18, 2] Operation: 16/8=2
Moving to Node #0,4,1
Current State: 20:[18, 2], Operations: ['93-75=18', '16/8=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.936632 | hs_5 | sum_heuristic |
[
46,
43,
42,
4
] | 84 | [
"46+42=88",
"43*4=172",
"172-88=84"
] | Current State: 84:[46, 43, 42, 4], Operations: []
Exploring Operation: 46+42=88, Resulting Numbers: [43, 4, 88]
Generated Node #2: [43, 4, 88] from Operation: 46+42=88
Current State: 84:[43, 4, 88], Operations: ['46+42=88']
Exploring Operation: 43*4=172, Resulting Numbers: [88, 172]
Generated Node #3: [88, 172] from Operation: 43*4=172
Current State: 84:[88, 172], Operations: ['46+42=88', '43*4=172']
Exploring Operation: 172-88=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[46, 43, 42, 4], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [43, 42, 42]
Generated Node #0,0: 84:[43, 42, 42] Operation: 46-4=42
Exploring Operation: 46-43=3, Resulting Numbers: [42, 4, 3]
Generated Node #0,1: 84:[42, 4, 3] Operation: 46-43=3
Exploring Operation: 46-42=4, Resulting Numbers: [43, 4, 4]
Generated Node #0,2: 84:[43, 4, 4] Operation: 46-42=4
Exploring Operation: 46+42=88, Resulting Numbers: [43, 4, 88]
Generated Node #0,3: 84:[43, 4, 88] Operation: 46+42=88
Exploring Operation: 46+43=89, Resulting Numbers: [42, 4, 89]
Generated Node #0,4: 84:[42, 4, 89] Operation: 46+43=89
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[42, 4, 3], Operations: ['46-43=3']
Exploring Operation: 4*3=12, Resulting Numbers: [42, 12]
Generated Node #0,1,0: 84:[42, 12] Operation: 4*3=12
Exploring Operation: 42/3=14, Resulting Numbers: [4, 14]
Generated Node #0,1,1: 84:[4, 14] Operation: 42/3=14
Exploring Operation: 4+3=7, Resulting Numbers: [42, 7]
Generated Node #0,1,2: 84:[42, 7] Operation: 4+3=7
Exploring Operation: 42+3=45, Resulting Numbers: [4, 45]
Generated Node #0,1,3: 84:[4, 45] Operation: 42+3=45
Exploring Operation: 4-3=1, Resulting Numbers: [42, 1]
Generated Node #0,1,4: 84:[42, 1] Operation: 4-3=1
Moving to Node #0,1,0
Current State: 84:[42, 12], Operations: ['46-43=3', '4*3=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,84 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[42, 7], Operations: ['46-43=3', '4+3=7']
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,84 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,84 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[4, 14], Operations: ['46-43=3', '42/3=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Moving to Node #0,1,4
Current State: 84:[42, 1], Operations: ['46-43=3', '4-3=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,84 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[4, 45], Operations: ['46-43=3', '42+3=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,84 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,84 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[43, 42, 42], Operations: ['46-4=42']
Exploring Operation: 43-42=1, Resulting Numbers: [42, 1]
Generated Node #0,0,0: 84:[42, 1] Operation: 43-42=1
Exploring Operation: 43-42=1, Resulting Numbers: [42, 1]
Generated Node #0,0,1: 84:[42, 1] Operation: 43-42=1
Exploring Operation: 42+42=84, Resulting Numbers: [43, 84]
Generated Node #0,0,2: 84:[43, 84] Operation: 42+42=84
Exploring Operation: 43+42=85, Resulting Numbers: [42, 85]
Generated Node #0,0,3: 84:[42, 85] Operation: 43+42=85
Exploring Operation: 43+42=85, Resulting Numbers: [42, 85]
Generated Node #0,0,4: 84:[42, 85] Operation: 43+42=85
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[42, 1], Operations: ['46-4=42', '43-42=1']
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,84 unequal: No Solution
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[42, 1], Operations: ['46-4=42', '43-42=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 84:[43, 84], Operations: ['46-4=42', '42+42=84']
Exploring Operation: 84-43=41, Resulting Numbers: [41]
41,84 unequal: No Solution
Exploring Operation: 43+84=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 43*84=3612, Resulting Numbers: [3612]
3612,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 84:[42, 85], Operations: ['46-4=42', '43+42=85']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 84:[42, 85], Operations: ['46-4=42', '43+42=85']
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[43, 4, 4], Operations: ['46-42=4']
Exploring Operation: 4+4=8, Resulting Numbers: [43, 8]
Generated Node #0,2,0: 84:[43, 8] Operation: 4+4=8
Exploring Operation: 43-4=39, Resulting Numbers: [4, 39]
Generated Node #0,2,1: 84:[4, 39] Operation: 43-4=39
Exploring Operation: 43-4=39, Resulting Numbers: [4, 39]
Generated Node #0,2,2: 84:[4, 39] Operation: 43-4=39
Exploring Operation: 4/4=1, Resulting Numbers: [43, 1]
Generated Node #0,2,3: 84:[43, 1] Operation: 4/4=1
Exploring Operation: 4*4=16, Resulting Numbers: [43, 16]
Generated Node #0,2,4: 84:[43, 16] Operation: 4*4=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[43, 8], Operations: ['46-42=4', '4+4=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[43, 1], Operations: ['46-42=4', '4/4=1']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[4, 39], Operations: ['46-42=4', '43-4=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,84 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 84:[4, 39], Operations: ['46-42=4', '43-4=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 84:[43, 16], Operations: ['46-42=4', '4*4=16']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,84 unequal: No Solution
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,84 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 84:[43, 4, 88], Operations: ['46+42=88']
Exploring Operation: 43-4=39, Resulting Numbers: [88, 39]
Generated Node #0,3,0: 84:[88, 39] Operation: 43-4=39
Exploring Operation: 88/4=22, Resulting Numbers: [43, 22]
Generated Node #0,3,1: 84:[43, 22] Operation: 88/4=22
Exploring Operation: 43+4=47, Resulting Numbers: [88, 47]
Generated Node #0,3,2: 84:[88, 47] Operation: 43+4=47
Exploring Operation: 88-43=45, Resulting Numbers: [4, 45]
Generated Node #0,3,3: 84:[4, 45] Operation: 88-43=45
Exploring Operation: 88-4=84, Resulting Numbers: [43, 84]
Generated Node #0,3,4: 84:[43, 84] Operation: 88-4=84
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 84:[43, 84], Operations: ['46+42=88', '88-4=84']
Exploring Operation: 43*84=3612, Resulting Numbers: [3612]
3612,84 unequal: No Solution
Exploring Operation: 43+84=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 84-43=41, Resulting Numbers: [41]
41,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 84:[43, 22], Operations: ['46+42=88', '88/4=22']
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 43*22=946, Resulting Numbers: [946]
946,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 84:[4, 45], Operations: ['46+42=88', '88-43=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,84 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,84 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 84:[88, 39], Operations: ['46+42=88', '43-4=39']
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,84 unequal: No Solution
Exploring Operation: 88+39=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 88*39=3432, Resulting Numbers: [3432]
3432,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 84:[88, 47], Operations: ['46+42=88', '43+4=47']
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,84 unequal: No Solution
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,84 unequal: No Solution
Exploring Operation: 88*47=4136, Resulting Numbers: [4136]
4136,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 84:[42, 4, 89], Operations: ['46+43=89']
Exploring Operation: 89-4=85, Resulting Numbers: [42, 85]
Generated Node #0,4,0: 84:[42, 85] Operation: 89-4=85
Exploring Operation: 89-42=47, Resulting Numbers: [4, 47]
Generated Node #0,4,1: 84:[4, 47] Operation: 89-42=47
Exploring Operation: 42+4=46, Resulting Numbers: [89, 46]
Generated Node #0,4,2: 84:[89, 46] Operation: 42+4=46
Exploring Operation: 42-4=38, Resulting Numbers: [89, 38]
Generated Node #0,4,3: 84:[89, 38] Operation: 42-4=38
Exploring Operation: 4+89=93, Resulting Numbers: [42, 93]
Generated Node #0,4,4: 84:[42, 93] Operation: 4+89=93
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 84:[42, 85], Operations: ['46+43=89', '89-4=85']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 84:[4, 47], Operations: ['46+43=89', '89-42=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 84:[89, 46], Operations: ['46+43=89', '42+4=46']
Exploring Operation: 89+46=135, Resulting Numbers: [135]
135,84 unequal: No Solution
Exploring Operation: 89-46=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 89*46=4094, Resulting Numbers: [4094]
4094,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 84:[89, 38], Operations: ['46+43=89', '42-4=38']
Exploring Operation: 89*38=3382, Resulting Numbers: [3382]
3382,84 unequal: No Solution
Exploring Operation: 89+38=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 84:[42, 93], Operations: ['46+43=89', '4+89=93']
Exploring Operation: 42*93=3906, Resulting Numbers: [3906]
3906,84 unequal: No Solution
Exploring Operation: 93-42=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 42+93=135, Resulting Numbers: [135]
135,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
65,
26,
31,
12
] | 82 | [
"65-26=39",
"31+12=43",
"39+43=82"
] | Current State: 82:[65, 26, 31, 12], Operations: []
Exploring Operation: 65-26=39, Resulting Numbers: [31, 12, 39]
Generated Node #2: [31, 12, 39] from Operation: 65-26=39
Current State: 82:[31, 12, 39], Operations: ['65-26=39']
Exploring Operation: 31+12=43, Resulting Numbers: [39, 43]
Generated Node #3: [39, 43] from Operation: 31+12=43
Current State: 82:[39, 43], Operations: ['65-26=39', '31+12=43']
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[65, 26, 31, 12], Operations: []
Exploring Operation: 65+12=77, Resulting Numbers: [26, 31, 77]
Generated Node #0,0: 82:[26, 31, 77] Operation: 65+12=77
Exploring Operation: 65+26=91, Resulting Numbers: [31, 12, 91]
Generated Node #0,1: 82:[31, 12, 91] Operation: 65+26=91
Exploring Operation: 65-26=39, Resulting Numbers: [31, 12, 39]
Generated Node #0,2: 82:[31, 12, 39] Operation: 65-26=39
Moving to Node #0,2
Current State: 82:[31, 12, 39], Operations: ['65-26=39']
Exploring Operation: 39-31=8, Resulting Numbers: [12, 8]
Generated Node #0,2,0: 82:[12, 8] Operation: 39-31=8
Exploring Operation: 31+12=43, Resulting Numbers: [39, 43]
Generated Node #0,2,1: 82:[39, 43] Operation: 31+12=43
Exploring Operation: 31-12=19, Resulting Numbers: [39, 19]
Generated Node #0,2,2: 82:[39, 19] Operation: 31-12=19
Moving to Node #0,1
Current State: 82:[31, 12, 91], Operations: ['65+26=91']
Exploring Operation: 31+12=43, Resulting Numbers: [91, 43]
Generated Node #0,1,0: 82:[91, 43] Operation: 31+12=43
Exploring Operation: 91-12=79, Resulting Numbers: [31, 79]
Generated Node #0,1,1: 82:[31, 79] Operation: 91-12=79
Exploring Operation: 31-12=19, Resulting Numbers: [91, 19]
Generated Node #0,1,2: 82:[91, 19] Operation: 31-12=19
Moving to Node #0,0
Current State: 82:[26, 31, 77], Operations: ['65+12=77']
Exploring Operation: 77-31=46, Resulting Numbers: [26, 46]
Generated Node #0,0,0: 82:[26, 46] Operation: 77-31=46
Exploring Operation: 31-26=5, Resulting Numbers: [77, 5]
Generated Node #0,0,1: 82:[77, 5] Operation: 31-26=5
Exploring Operation: 77-26=51, Resulting Numbers: [31, 51]
Generated Node #0,0,2: 82:[31, 51] Operation: 77-26=51
Moving to Node #0,2,1
Current State: 82:[39, 43], Operations: ['65-26=39', '31+12=43']
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,82 unequal: No Solution
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[65, 26, 31, 12], Operations: []
Exploring Operation: 65-26=39, Resulting Numbers: [31, 12, 39]
Generated Node #0,2: 82:[31, 12, 39] Operation: 65-26=39
Moving to Node #0,2
Current State: 82:[31, 12, 39], Operations: ['65-26=39']
Exploring Operation: 31+12=43, Resulting Numbers: [39, 43]
Generated Node #0,2,1: 82:[39, 43] Operation: 31+12=43
Moving to Node #0,2,1
Current State: 82:[39, 43], Operations: ['65-26=39', '31+12=43']
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.984375 | hs_3 | sum_heuristic |
[
21,
99,
36,
97
] | 93 | [
"99-97=2",
"36*2=72",
"21+72=93"
] | Current State: 93:[21, 99, 36, 97], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [21, 36, 2]
Generated Node #2: [21, 36, 2] from Operation: 99-97=2
Current State: 93:[21, 36, 2], Operations: ['99-97=2']
Exploring Operation: 36*2=72, Resulting Numbers: [21, 72]
Generated Node #3: [21, 72] from Operation: 36*2=72
Current State: 93:[21, 72], Operations: ['99-97=2', '36*2=72']
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[21, 99, 36, 97], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [21, 36, 2]
Generated Node #0,0: 93:[21, 36, 2] Operation: 99-97=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[21, 36, 2], Operations: ['99-97=2']
Exploring Operation: 36-21=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 93:[2, 15] Operation: 36-21=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[2, 15], Operations: ['99-97=2', '36-21=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,93 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_1 | sum_heuristic |
[
93,
3,
57,
29
] | 10 | [
"93+3=96",
"57+29=86",
"96-86=10"
] | Current State: 10:[93, 3, 57, 29], Operations: []
Exploring Operation: 93+3=96, Resulting Numbers: [57, 29, 96]
Generated Node #2: [57, 29, 96] from Operation: 93+3=96
Current State: 10:[57, 29, 96], Operations: ['93+3=96']
Exploring Operation: 57+29=86, Resulting Numbers: [96, 86]
Generated Node #3: [96, 86] from Operation: 57+29=86
Current State: 10:[96, 86], Operations: ['93+3=96', '57+29=86']
Exploring Operation: 96-86=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[93, 3, 57, 29], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [57, 29, 31]
Generated Node #0,0: 10:[57, 29, 31] Operation: 93/3=31
Exploring Operation: 93-57=36, Resulting Numbers: [3, 29, 36]
Generated Node #0,1: 10:[3, 29, 36] Operation: 93-57=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[3, 29, 36], Operations: ['93-57=36']
Exploring Operation: 36-29=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 10:[3, 7] Operation: 36-29=7
Exploring Operation: 36/3=12, Resulting Numbers: [29, 12]
Generated Node #0,1,1: 10:[29, 12] Operation: 36/3=12
Moving to Node #0,1,0
Current State: 10:[3, 7], Operations: ['93-57=36', '36-29=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[93, 3, 57, 29], Operations: []
Exploring Operation: 93-57=36, Resulting Numbers: [3, 29, 36]
Generated Node #0,1: 10:[3, 29, 36] Operation: 93-57=36
Moving to Node #0,1
Current State: 10:[3, 29, 36], Operations: ['93-57=36']
Exploring Operation: 36-29=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 10:[3, 7] Operation: 36-29=7
Moving to Node #0,1,0
Current State: 10:[3, 7], Operations: ['93-57=36', '36-29=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
17,
42,
33,
44
] | 14 | [
"42-17=25",
"44-33=11",
"25-11=14"
] | Current State: 14:[17, 42, 33, 44], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [33, 44, 25]
Generated Node #2: [33, 44, 25] from Operation: 42-17=25
Current State: 14:[33, 44, 25], Operations: ['42-17=25']
Exploring Operation: 44-33=11, Resulting Numbers: [25, 11]
Generated Node #3: [25, 11] from Operation: 44-33=11
Current State: 14:[25, 11], Operations: ['42-17=25', '44-33=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[17, 42, 33, 44], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [17, 33, 2]
Generated Node #0,0: 14:[17, 33, 2] Operation: 44-42=2
Exploring Operation: 42-17=25, Resulting Numbers: [33, 44, 25]
Generated Node #0,1: 14:[33, 44, 25] Operation: 42-17=25
Exploring Operation: 42-33=9, Resulting Numbers: [17, 44, 9]
Generated Node #0,2: 14:[17, 44, 9] Operation: 42-33=9
Exploring Operation: 33-17=16, Resulting Numbers: [42, 44, 16]
Generated Node #0,3: 14:[42, 44, 16] Operation: 33-17=16
Exploring Operation: 44-33=11, Resulting Numbers: [17, 42, 11]
Generated Node #0,4: 14:[17, 42, 11] Operation: 44-33=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[17, 33, 2], Operations: ['44-42=2']
Exploring Operation: 17+2=19, Resulting Numbers: [33, 19]
Generated Node #0,0,0: 14:[33, 19] Operation: 17+2=19
Exploring Operation: 33+2=35, Resulting Numbers: [17, 35]
Generated Node #0,0,1: 14:[17, 35] Operation: 33+2=35
Exploring Operation: 33-17=16, Resulting Numbers: [2, 16]
Generated Node #0,0,2: 14:[2, 16] Operation: 33-17=16
Exploring Operation: 17-2=15, Resulting Numbers: [33, 15]
Generated Node #0,0,3: 14:[33, 15] Operation: 17-2=15
Exploring Operation: 33-2=31, Resulting Numbers: [17, 31]
Generated Node #0,0,4: 14:[17, 31] Operation: 33-2=31
Moving to Node #0,0,2
Current State: 14:[2, 16], Operations: ['44-42=2', '33-17=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,14 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[17, 42, 33, 44], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [17, 33, 2]
Generated Node #0,0: 14:[17, 33, 2] Operation: 44-42=2
Moving to Node #0,0
Current State: 14:[17, 33, 2], Operations: ['44-42=2']
Exploring Operation: 33-17=16, Resulting Numbers: [2, 16]
Generated Node #0,0,2: 14:[2, 16] Operation: 33-17=16
Moving to Node #0,0,2
Current State: 14:[2, 16], Operations: ['44-42=2', '33-17=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
81,
41,
7,
12
] | 59 | [
"81-41=40",
"7+12=19",
"40+19=59"
] | Current State: 59:[81, 41, 7, 12], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [7, 12, 40]
Generated Node #2: [7, 12, 40] from Operation: 81-41=40
Current State: 59:[7, 12, 40], Operations: ['81-41=40']
Exploring Operation: 7+12=19, Resulting Numbers: [40, 19]
Generated Node #3: [40, 19] from Operation: 7+12=19
Current State: 59:[40, 19], Operations: ['81-41=40', '7+12=19']
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[81, 41, 7, 12], Operations: []
Exploring Operation: 7*12=84, Resulting Numbers: [81, 41, 84]
Generated Node #0,0: 59:[81, 41, 84] Operation: 7*12=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[81, 41, 84], Operations: ['7*12=84']
Exploring Operation: 84-41=43, Resulting Numbers: [81, 43]
Generated Node #0,0,0: 59:[81, 43] Operation: 84-41=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[81, 43], Operations: ['7*12=84', '84-41=43']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,59 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 |
[
27,
96,
92,
34
] | 11 | [
"96-27=69",
"92-34=58",
"69-58=11"
] | Current State: 11:[27, 96, 92, 34], Operations: []
Exploring Operation: 96-27=69, Resulting Numbers: [92, 34, 69]
Generated Node #2: [92, 34, 69] from Operation: 96-27=69
Current State: 11:[92, 34, 69], Operations: ['96-27=69']
Exploring Operation: 92-34=58, Resulting Numbers: [69, 58]
Generated Node #3: [69, 58] from Operation: 92-34=58
Current State: 11:[69, 58], Operations: ['96-27=69', '92-34=58']
Exploring Operation: 69-58=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[27, 96, 92, 34], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [27, 34, 4]
Generated Node #0,0: 11:[27, 34, 4] Operation: 96-92=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[27, 34, 4], Operations: ['96-92=4']
Exploring Operation: 34-27=7, Resulting Numbers: [4, 7]
Generated Node #0,0,0: 11:[4, 7] Operation: 34-27=7
Moving to Node #0,0,0
Current State: 11:[4, 7], Operations: ['96-92=4', '34-27=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[27, 96, 92, 34], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [27, 34, 4]
Generated Node #0,0: 11:[27, 34, 4] Operation: 96-92=4
Moving to Node #0,0
Current State: 11:[27, 34, 4], Operations: ['96-92=4']
Exploring Operation: 34-27=7, Resulting Numbers: [4, 7]
Generated Node #0,0,0: 11:[4, 7] Operation: 34-27=7
Moving to Node #0,0,0
Current State: 11:[4, 7], Operations: ['96-92=4', '34-27=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
38,
47,
67,
81
] | 71 | [
"38+47=85",
"81-67=14",
"85-14=71"
] | Current State: 71:[38, 47, 67, 81], Operations: []
Exploring Operation: 38+47=85, Resulting Numbers: [67, 81, 85]
Generated Node #2: [67, 81, 85] from Operation: 38+47=85
Current State: 71:[67, 81, 85], Operations: ['38+47=85']
Exploring Operation: 81-67=14, Resulting Numbers: [85, 14]
Generated Node #3: [85, 14] from Operation: 81-67=14
Current State: 71:[85, 14], Operations: ['38+47=85', '81-67=14']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[38, 47, 67, 81], Operations: []
Exploring Operation: 81-38=43, Resulting Numbers: [47, 67, 43]
Generated Node #0,0: 71:[47, 67, 43] Operation: 81-38=43
Exploring Operation: 38+47=85, Resulting Numbers: [67, 81, 85]
Generated Node #0,1: 71:[67, 81, 85] Operation: 38+47=85
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[67, 81, 85], Operations: ['38+47=85']
Exploring Operation: 81-67=14, Resulting Numbers: [85, 14]
Generated Node #0,1,0: 71:[85, 14] Operation: 81-67=14
Exploring Operation: 85-67=18, Resulting Numbers: [81, 18]
Generated Node #0,1,1: 71:[81, 18] Operation: 85-67=18
Moving to Node #0,1,1
Current State: 71:[81, 18], Operations: ['38+47=85', '85-67=18']
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,71 unequal: No Solution
Exploring Operation: 81+18=99, Resulting Numbers: [99]
99,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[85, 14], Operations: ['38+47=85', '81-67=14']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[38, 47, 67, 81], Operations: []
Exploring Operation: 38+47=85, Resulting Numbers: [67, 81, 85]
Generated Node #0,1: 71:[67, 81, 85] Operation: 38+47=85
Moving to Node #0,1
Current State: 71:[67, 81, 85], Operations: ['38+47=85']
Exploring Operation: 81-67=14, Resulting Numbers: [85, 14]
Generated Node #0,1,0: 71:[85, 14] Operation: 81-67=14
Moving to Node #0,1,0
Current State: 71:[85, 14], Operations: ['38+47=85', '81-67=14']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
55,
2,
64,
72
] | 10 | [
"64-55=9",
"72/9=8",
"2+8=10"
] | Current State: 10:[55, 2, 64, 72], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [2, 72, 9]
Generated Node #2: [2, 72, 9] from Operation: 64-55=9
Current State: 10:[2, 72, 9], Operations: ['64-55=9']
Exploring Operation: 72/9=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 72/9=8
Current State: 10:[2, 8], Operations: ['64-55=9', '72/9=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[55, 2, 64, 72], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [55, 64, 36]
Generated Node #0,0: 10:[55, 64, 36] Operation: 72/2=36
Exploring Operation: 72-64=8, Resulting Numbers: [55, 2, 8]
Generated Node #0,1: 10:[55, 2, 8] Operation: 72-64=8
Exploring Operation: 72-55=17, Resulting Numbers: [2, 64, 17]
Generated Node #0,2: 10:[2, 64, 17] Operation: 72-55=17
Exploring Operation: 64-55=9, Resulting Numbers: [2, 72, 9]
Generated Node #0,3: 10:[2, 72, 9] Operation: 64-55=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[55, 2, 8], Operations: ['72-64=8']
Exploring Operation: 55-2=53, Resulting Numbers: [8, 53]
Generated Node #0,1,0: 10:[8, 53] Operation: 55-2=53
Exploring Operation: 8-2=6, Resulting Numbers: [55, 6]
Generated Node #0,1,1: 10:[55, 6] Operation: 8-2=6
Exploring Operation: 2+8=10, Resulting Numbers: [55, 10]
Generated Node #0,1,2: 10:[55, 10] Operation: 2+8=10
Exploring Operation: 55-8=47, Resulting Numbers: [2, 47]
Generated Node #0,1,3: 10:[2, 47] Operation: 55-8=47
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 10:[2, 47], Operations: ['72-64=8', '55-8=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 10:[8, 53], Operations: ['72-64=8', '55-2=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,10 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 10:[55, 10], Operations: ['72-64=8', '2+8=10']
Exploring Operation: 55+10=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 55*10=550, Resulting Numbers: [550]
550,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[55, 6], Operations: ['72-64=8', '8-2=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,10 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,10 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 #0,2
Current State: 10:[2, 64, 17], Operations: ['72-55=17']
Exploring Operation: 64-17=47, Resulting Numbers: [2, 47]
Generated Node #0,2,0: 10:[2, 47] Operation: 64-17=47
Exploring Operation: 64-2=62, Resulting Numbers: [17, 62]
Generated Node #0,2,1: 10:[17, 62] Operation: 64-2=62
Exploring Operation: 17-2=15, Resulting Numbers: [64, 15]
Generated Node #0,2,2: 10:[64, 15] Operation: 17-2=15
Exploring Operation: 64/2=32, Resulting Numbers: [17, 32]
Generated Node #0,2,3: 10:[17, 32] Operation: 64/2=32
Moving to Node #0,2,3
Current State: 10:[17, 32], Operations: ['72-55=17', '64/2=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,10 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[2, 47], Operations: ['72-55=17', '64-17=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,10 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[64, 15], Operations: ['72-55=17', '17-2=15']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,10 unequal: No Solution
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[17, 62], Operations: ['72-55=17', '64-2=62']
Exploring Operation: 17+62=79, Resulting Numbers: [79]
79,10 unequal: No Solution
Exploring Operation: 17*62=1054, Resulting Numbers: [1054]
1054,10 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,10 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 #0,3
Current State: 10:[2, 72, 9], Operations: ['64-55=9']
Exploring Operation: 72/9=8, Resulting Numbers: [2, 8]
Generated Node #0,3,0: 10:[2, 8] Operation: 72/9=8
Exploring Operation: 72-2=70, Resulting Numbers: [9, 70]
Generated Node #0,3,1: 10:[9, 70] Operation: 72-2=70
Exploring Operation: 72/2=36, Resulting Numbers: [9, 36]
Generated Node #0,3,2: 10:[9, 36] Operation: 72/2=36
Exploring Operation: 72-9=63, Resulting Numbers: [2, 63]
Generated Node #0,3,3: 10:[2, 63] Operation: 72-9=63
Moving to Node #0,3,0
Current State: 10:[2, 8], Operations: ['64-55=9', '72/9=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[55, 2, 64, 72], Operations: []
Exploring Operation: 64-55=9, Resulting Numbers: [2, 72, 9]
Generated Node #0,3: 10:[2, 72, 9] Operation: 64-55=9
Moving to Node #0,3
Current State: 10:[2, 72, 9], Operations: ['64-55=9']
Exploring Operation: 72/9=8, Resulting Numbers: [2, 8]
Generated Node #0,3,0: 10:[2, 8] Operation: 72/9=8
Moving to Node #0,3,0
Current State: 10:[2, 8], Operations: ['64-55=9', '72/9=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_4 | mult_heuristic |
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