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 |
|---|---|---|---|---|---|---|---|---|
[
87,
85,
17,
14
] | 80 | [
"87-17=70",
"70/14=5",
"85-5=80"
] | Current State: 80:[87, 85, 17, 14], Operations: []
Exploring Operation: 87-17=70, Resulting Numbers: [85, 14, 70]
Generated Node #2: [85, 14, 70] from Operation: 87-17=70
Current State: 80:[85, 14, 70], Operations: ['87-17=70']
Exploring Operation: 70/14=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 70/14=5
Current State: 80:[85, 5], Operations: ['87-17=70', '70/14=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[87, 85, 17, 14], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [17, 14, 2]
Generated Node #0,0: 80:[17, 14, 2] Operation: 87-85=2
Exploring Operation: 85/17=5, Resulting Numbers: [87, 14, 5]
Generated Node #0,1: 80:[87, 14, 5] Operation: 85/17=5
Exploring Operation: 87-14=73, Resulting Numbers: [85, 17, 73]
Generated Node #0,2: 80:[85, 17, 73] Operation: 87-14=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[17, 14, 2], Operations: ['87-85=2']
Exploring Operation: 17-14=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 80:[2, 3] Operation: 17-14=3
Exploring Operation: 14+2=16, Resulting Numbers: [17, 16]
Generated Node #0,0,1: 80:[17, 16] Operation: 14+2=16
Exploring Operation: 14/2=7, Resulting Numbers: [17, 7]
Generated Node #0,0,2: 80:[17, 7] Operation: 14/2=7
Moving to Node #0,0,0
Current State: 80:[2, 3], Operations: ['87-85=2', '17-14=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[17, 16], Operations: ['87-85=2', '14+2=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,80 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[17, 7], Operations: ['87-85=2', '14/2=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,80 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[87, 14, 5], Operations: ['85/17=5']
Exploring Operation: 87-14=73, Resulting Numbers: [5, 73]
Generated Node #0,1,0: 80:[5, 73] Operation: 87-14=73
Exploring Operation: 14+5=19, Resulting Numbers: [87, 19]
Generated Node #0,1,1: 80:[87, 19] Operation: 14+5=19
Exploring Operation: 87-5=82, Resulting Numbers: [14, 82]
Generated Node #0,1,2: 80:[14, 82] Operation: 87-5=82
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 80:[14, 82], Operations: ['85/17=5', '87-5=82']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 14+82=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Exploring Operation: 14*82=1148, Resulting Numbers: [1148]
1148,80 unequal: No Solution
No 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: 80:[5, 73], Operations: ['85/17=5', '87-14=73']
Exploring Operation: 5+73=78, Resulting Numbers: [78]
78,80 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 5*73=365, Resulting Numbers: [365]
365,80 unequal: No Solution
No 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: 80:[87, 19], Operations: ['85/17=5', '14+5=19']
Exploring Operation: 87+19=106, Resulting Numbers: [106]
106,80 unequal: No Solution
Exploring Operation: 87*19=1653, Resulting Numbers: [1653]
1653,80 unequal: No Solution
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,80 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: 80:[85, 17, 73], Operations: ['87-14=73']
Exploring Operation: 85-73=12, Resulting Numbers: [17, 12]
Generated Node #0,2,0: 80:[17, 12] Operation: 85-73=12
Exploring Operation: 17+73=90, Resulting Numbers: [85, 90]
Generated Node #0,2,1: 80:[85, 90] Operation: 17+73=90
Exploring Operation: 85/17=5, Resulting Numbers: [73, 5]
Generated Node #0,2,2: 80:[73, 5] Operation: 85/17=5
Moving to Node #0,2,0
Current State: 80:[17, 12], Operations: ['87-14=73', '85-73=12']
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,80 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[73, 5], Operations: ['87-14=73', '85/17=5']
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,80 unequal: No Solution
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,80 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[85, 90], Operations: ['87-14=73', '17+73=90']
Exploring Operation: 85+90=175, Resulting Numbers: [175]
175,80 unequal: No Solution
Exploring Operation: 85*90=7650, Resulting Numbers: [7650]
7650,80 unequal: No Solution
Exploring Operation: 90-85=5, Resulting Numbers: [5]
5,80 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 |
[
39,
87,
25,
31
] | 42 | [
"87-39=48",
"31-25=6",
"48-6=42"
] | Current State: 42:[39, 87, 25, 31], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [25, 31, 48]
Generated Node #2: [25, 31, 48] from Operation: 87-39=48
Current State: 42:[25, 31, 48], Operations: ['87-39=48']
Exploring Operation: 31-25=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 31-25=6
Current State: 42:[48, 6], Operations: ['87-39=48', '31-25=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[39, 87, 25, 31], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [87, 25, 8]
Generated Node #0,0: 42:[87, 25, 8] Operation: 39-31=8
Exploring Operation: 87-31=56, Resulting Numbers: [39, 25, 56]
Generated Node #0,1: 42:[39, 25, 56] Operation: 87-31=56
Exploring Operation: 31-25=6, Resulting Numbers: [39, 87, 6]
Generated Node #0,2: 42:[39, 87, 6] Operation: 31-25=6
Exploring Operation: 87-25=62, Resulting Numbers: [39, 31, 62]
Generated Node #0,3: 42:[39, 31, 62] Operation: 87-25=62
Exploring Operation: 87-39=48, Resulting Numbers: [25, 31, 48]
Generated Node #0,4: 42:[25, 31, 48] Operation: 87-39=48
Moving to Node #0,4
Current State: 42:[25, 31, 48], Operations: ['87-39=48']
Exploring Operation: 25+48=73, Resulting Numbers: [31, 73]
Generated Node #0,4,0: 42:[31, 73] Operation: 25+48=73
Exploring Operation: 25+31=56, Resulting Numbers: [48, 56]
Generated Node #0,4,1: 42:[48, 56] Operation: 25+31=56
Exploring Operation: 48-25=23, Resulting Numbers: [31, 23]
Generated Node #0,4,2: 42:[31, 23] Operation: 48-25=23
Exploring Operation: 48-31=17, Resulting Numbers: [25, 17]
Generated Node #0,4,3: 42:[25, 17] Operation: 48-31=17
Exploring Operation: 31-25=6, Resulting Numbers: [48, 6]
Generated Node #0,4,4: 42:[48, 6] Operation: 31-25=6
Moving to Node #0,1
Current State: 42:[39, 25, 56], Operations: ['87-31=56']
Exploring Operation: 39+25=64, Resulting Numbers: [56, 64]
Generated Node #0,1,0: 42:[56, 64] Operation: 39+25=64
Exploring Operation: 25+56=81, Resulting Numbers: [39, 81]
Generated Node #0,1,1: 42:[39, 81] Operation: 25+56=81
Exploring Operation: 56-25=31, Resulting Numbers: [39, 31]
Generated Node #0,1,2: 42:[39, 31] Operation: 56-25=31
Exploring Operation: 56-39=17, Resulting Numbers: [25, 17]
Generated Node #0,1,3: 42:[25, 17] Operation: 56-39=17
Exploring Operation: 39-25=14, Resulting Numbers: [56, 14]
Generated Node #0,1,4: 42:[56, 14] Operation: 39-25=14
Moving to Node #0,3
Current State: 42:[39, 31, 62], Operations: ['87-25=62']
Exploring Operation: 62-31=31, Resulting Numbers: [39, 31]
Generated Node #0,3,0: 42:[39, 31] Operation: 62-31=31
Exploring Operation: 62-39=23, Resulting Numbers: [31, 23]
Generated Node #0,3,1: 42:[31, 23] Operation: 62-39=23
Exploring Operation: 39-31=8, Resulting Numbers: [62, 8]
Generated Node #0,3,2: 42:[62, 8] Operation: 39-31=8
Exploring Operation: 39+31=70, Resulting Numbers: [62, 70]
Generated Node #0,3,3: 42:[62, 70] Operation: 39+31=70
Exploring Operation: 62/31=2, Resulting Numbers: [39, 2]
Generated Node #0,3,4: 42:[39, 2] Operation: 62/31=2
Moving to Node #0,2
Current State: 42:[39, 87, 6], Operations: ['31-25=6']
Exploring Operation: 39-6=33, Resulting Numbers: [87, 33]
Generated Node #0,2,0: 42:[87, 33] Operation: 39-6=33
Exploring Operation: 87-39=48, Resulting Numbers: [6, 48]
Generated Node #0,2,1: 42:[6, 48] Operation: 87-39=48
Exploring Operation: 87-6=81, Resulting Numbers: [39, 81]
Generated Node #0,2,2: 42:[39, 81] Operation: 87-6=81
Exploring Operation: 87+6=93, Resulting Numbers: [39, 93]
Generated Node #0,2,3: 42:[39, 93] Operation: 87+6=93
Exploring Operation: 39+6=45, Resulting Numbers: [87, 45]
Generated Node #0,2,4: 42:[87, 45] Operation: 39+6=45
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 42:[6, 48], Operations: ['31-25=6', '87-39=48']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[39, 87, 25, 31], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [39, 87, 6]
Generated Node #0,2: 42:[39, 87, 6] Operation: 31-25=6
Moving to Node #0,2
Current State: 42:[39, 87, 6], Operations: ['31-25=6']
Exploring Operation: 87-39=48, Resulting Numbers: [6, 48]
Generated Node #0,2,1: 42:[6, 48] Operation: 87-39=48
Moving to Node #0,2,1
Current State: 42:[6, 48], Operations: ['31-25=6', '87-39=48']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_5 | mult_heuristic |
[
83,
86,
64,
14
] | 47 | [
"86-83=3",
"64-14=50",
"50-3=47"
] | Current State: 47:[83, 86, 64, 14], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [64, 14, 3]
Generated Node #2: [64, 14, 3] from Operation: 86-83=3
Current State: 47:[64, 14, 3], Operations: ['86-83=3']
Exploring Operation: 64-14=50, Resulting Numbers: [3, 50]
Generated Node #3: [3, 50] from Operation: 64-14=50
Current State: 47:[3, 50], Operations: ['86-83=3', '64-14=50']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[83, 86, 64, 14], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [64, 14, 3]
Generated Node #0,0: 47:[64, 14, 3] Operation: 86-83=3
Exploring Operation: 86-14=72, Resulting Numbers: [83, 64, 72]
Generated Node #0,1: 47:[83, 64, 72] Operation: 86-14=72
Exploring Operation: 83-14=69, Resulting Numbers: [86, 64, 69]
Generated Node #0,2: 47:[86, 64, 69] Operation: 83-14=69
Exploring Operation: 64-14=50, Resulting Numbers: [83, 86, 50]
Generated Node #0,3: 47:[83, 86, 50] Operation: 64-14=50
Moving to Node #0,1
Current State: 47:[83, 64, 72], Operations: ['86-14=72']
Exploring Operation: 83-72=11, Resulting Numbers: [64, 11]
Generated Node #0,1,0: 47:[64, 11] Operation: 83-72=11
Exploring Operation: 83-64=19, Resulting Numbers: [72, 19]
Generated Node #0,1,1: 47:[72, 19] Operation: 83-64=19
Exploring Operation: 83+64=147, Resulting Numbers: [72, 147]
Generated Node #0,1,2: 47:[72, 147] Operation: 83+64=147
Exploring Operation: 72-64=8, Resulting Numbers: [83, 8]
Generated Node #0,1,3: 47:[83, 8] Operation: 72-64=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[64, 11], Operations: ['86-14=72', '83-72=11']
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,47 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[72, 19], Operations: ['86-14=72', '83-64=19']
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 47:[83, 8], Operations: ['86-14=72', '72-64=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,47 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[72, 147], Operations: ['86-14=72', '83+64=147']
Exploring Operation: 72*147=10584, Resulting Numbers: [10584]
10584,47 unequal: No Solution
Exploring Operation: 147-72=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 72+147=219, Resulting Numbers: [219]
219,47 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: 47:[83, 86, 50], Operations: ['64-14=50']
Exploring Operation: 83-50=33, Resulting Numbers: [86, 33]
Generated Node #0,3,0: 47:[86, 33] Operation: 83-50=33
Exploring Operation: 83+86=169, Resulting Numbers: [50, 169]
Generated Node #0,3,1: 47:[50, 169] Operation: 83+86=169
Exploring Operation: 86-50=36, Resulting Numbers: [83, 36]
Generated Node #0,3,2: 47:[83, 36] Operation: 86-50=36
Exploring Operation: 86-83=3, Resulting Numbers: [50, 3]
Generated Node #0,3,3: 47:[50, 3] Operation: 86-83=3
Moving to Node #0,2
Current State: 47:[86, 64, 69], Operations: ['83-14=69']
Exploring Operation: 86-64=22, Resulting Numbers: [69, 22]
Generated Node #0,2,0: 47:[69, 22] Operation: 86-64=22
Exploring Operation: 86-69=17, Resulting Numbers: [64, 17]
Generated Node #0,2,1: 47:[64, 17] Operation: 86-69=17
Exploring Operation: 69-64=5, Resulting Numbers: [86, 5]
Generated Node #0,2,2: 47:[86, 5] Operation: 69-64=5
Exploring Operation: 86+64=150, Resulting Numbers: [69, 150]
Generated Node #0,2,3: 47:[69, 150] Operation: 86+64=150
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[69, 22], Operations: ['83-14=69', '86-64=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,47 unequal: No Solution
Exploring Operation: 69*22=1518, Resulting Numbers: [1518]
1518,47 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[83, 86, 64, 14], Operations: []
Exploring Operation: 83-14=69, Resulting Numbers: [86, 64, 69]
Generated Node #0,2: 47:[86, 64, 69] Operation: 83-14=69
Moving to Node #0,2
Current State: 47:[86, 64, 69], Operations: ['83-14=69']
Exploring Operation: 86-64=22, Resulting Numbers: [69, 22]
Generated Node #0,2,0: 47:[69, 22] Operation: 86-64=22
Moving to Node #0,2,0
Current State: 47:[69, 22], Operations: ['83-14=69', '86-64=22']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | mult_heuristic |
[
32,
3,
34,
22
] | 72 | [
"34-32=2",
"22+2=24",
"3*24=72"
] | Current State: 72:[32, 3, 34, 22], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [3, 22, 2]
Generated Node #2: [3, 22, 2] from Operation: 34-32=2
Current State: 72:[3, 22, 2], Operations: ['34-32=2']
Exploring Operation: 22+2=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 22+2=24
Current State: 72:[3, 24], Operations: ['34-32=2', '22+2=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[32, 3, 34, 22], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [3, 34, 10]
Generated Node #0,0: 72:[3, 34, 10] Operation: 32-22=10
Exploring Operation: 34-22=12, Resulting Numbers: [32, 3, 12]
Generated Node #0,1: 72:[32, 3, 12] Operation: 34-22=12
Exploring Operation: 34-32=2, Resulting Numbers: [3, 22, 2]
Generated Node #0,2: 72:[3, 22, 2] Operation: 34-32=2
Exploring Operation: 32+3=35, Resulting Numbers: [34, 22, 35]
Generated Node #0,3: 72:[34, 22, 35] Operation: 32+3=35
Moving to Node #0,2
Current State: 72:[3, 22, 2], Operations: ['34-32=2']
Exploring Operation: 22+2=24, Resulting Numbers: [3, 24]
Generated Node #0,2,0: 72:[3, 24] Operation: 22+2=24
Exploring Operation: 3+22=25, Resulting Numbers: [2, 25]
Generated Node #0,2,1: 72:[2, 25] Operation: 3+22=25
Exploring Operation: 22/2=11, Resulting Numbers: [3, 11]
Generated Node #0,2,2: 72:[3, 11] Operation: 22/2=11
Exploring Operation: 22-3=19, Resulting Numbers: [2, 19]
Generated Node #0,2,3: 72:[2, 19] Operation: 22-3=19
Moving to Node #0,0
Current State: 72:[3, 34, 10], Operations: ['32-22=10']
Exploring Operation: 3+34=37, Resulting Numbers: [10, 37]
Generated Node #0,0,0: 72:[10, 37] Operation: 3+34=37
Exploring Operation: 34-10=24, Resulting Numbers: [3, 24]
Generated Node #0,0,1: 72:[3, 24] Operation: 34-10=24
Exploring Operation: 3+10=13, Resulting Numbers: [34, 13]
Generated Node #0,0,2: 72:[34, 13] Operation: 3+10=13
Exploring Operation: 10-3=7, Resulting Numbers: [34, 7]
Generated Node #0,0,3: 72:[34, 7] Operation: 10-3=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[3, 24], Operations: ['32-22=10', '34-10=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[32, 3, 34, 22], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [3, 34, 10]
Generated Node #0,0: 72:[3, 34, 10] Operation: 32-22=10
Moving to Node #0,0
Current State: 72:[3, 34, 10], Operations: ['32-22=10']
Exploring Operation: 34-10=24, Resulting Numbers: [3, 24]
Generated Node #0,0,1: 72:[3, 24] Operation: 34-10=24
Moving to Node #0,0,1
Current State: 72:[3, 24], Operations: ['32-22=10', '34-10=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
63,
93,
65,
5
] | 19 | [
"93-63=30",
"65+30=95",
"95/5=19"
] | Current State: 19:[63, 93, 65, 5], Operations: []
Exploring Operation: 93-63=30, Resulting Numbers: [65, 5, 30]
Generated Node #2: [65, 5, 30] from Operation: 93-63=30
Current State: 19:[65, 5, 30], Operations: ['93-63=30']
Exploring Operation: 65+30=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 65+30=95
Current State: 19:[5, 95], Operations: ['93-63=30', '65+30=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[63, 93, 65, 5], Operations: []
Exploring Operation: 93-65=28, Resulting Numbers: [63, 5, 28]
Generated Node #0,0: 19:[63, 5, 28] Operation: 93-65=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[63, 5, 28], Operations: ['93-65=28']
Exploring Operation: 63-28=35, Resulting Numbers: [5, 35]
Generated Node #0,0,0: 19:[5, 35] Operation: 63-28=35
Moving to Node #0,0,0
Current State: 19:[5, 35], Operations: ['93-65=28', '63-28=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,19 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 |
[
30,
83,
26,
51
] | 36 | [
"30+83=113",
"26+51=77",
"113-77=36"
] | Current State: 36:[30, 83, 26, 51], Operations: []
Exploring Operation: 30+83=113, Resulting Numbers: [26, 51, 113]
Generated Node #2: [26, 51, 113] from Operation: 30+83=113
Current State: 36:[26, 51, 113], Operations: ['30+83=113']
Exploring Operation: 26+51=77, Resulting Numbers: [113, 77]
Generated Node #3: [113, 77] from Operation: 26+51=77
Current State: 36:[113, 77], Operations: ['30+83=113', '26+51=77']
Exploring Operation: 113-77=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[30, 83, 26, 51], Operations: []
Exploring Operation: 83-30=53, Resulting Numbers: [26, 51, 53]
Generated Node #0,0: 36:[26, 51, 53] Operation: 83-30=53
Exploring Operation: 83-51=32, Resulting Numbers: [30, 26, 32]
Generated Node #0,1: 36:[30, 26, 32] Operation: 83-51=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[30, 26, 32], Operations: ['83-51=32']
Exploring Operation: 30-26=4, Resulting Numbers: [32, 4]
Generated Node #0,1,0: 36:[32, 4] Operation: 30-26=4
Exploring Operation: 32-26=6, Resulting Numbers: [30, 6]
Generated Node #0,1,1: 36:[30, 6] Operation: 32-26=6
Moving to Node #0,1,0
Current State: 36:[32, 4], Operations: ['83-51=32', '30-26=4']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[30, 83, 26, 51], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [30, 26, 32]
Generated Node #0,1: 36:[30, 26, 32] Operation: 83-51=32
Moving to Node #0,1
Current State: 36:[30, 26, 32], Operations: ['83-51=32']
Exploring Operation: 30-26=4, Resulting Numbers: [32, 4]
Generated Node #0,1,0: 36:[32, 4] Operation: 30-26=4
Moving to Node #0,1,0
Current State: 36:[32, 4], Operations: ['83-51=32', '30-26=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
29,
51,
24,
33
] | 89 | [
"29+51=80",
"33-24=9",
"80+9=89"
] | Current State: 89:[29, 51, 24, 33], Operations: []
Exploring Operation: 29+51=80, Resulting Numbers: [24, 33, 80]
Generated Node #2: [24, 33, 80] from Operation: 29+51=80
Current State: 89:[24, 33, 80], Operations: ['29+51=80']
Exploring Operation: 33-24=9, Resulting Numbers: [80, 9]
Generated Node #3: [80, 9] from Operation: 33-24=9
Current State: 89:[80, 9], Operations: ['29+51=80', '33-24=9']
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[29, 51, 24, 33], Operations: []
Exploring Operation: 29+51=80, Resulting Numbers: [24, 33, 80]
Generated Node #0,0: 89:[24, 33, 80] Operation: 29+51=80
Exploring Operation: 29+24=53, Resulting Numbers: [51, 33, 53]
Generated Node #0,1: 89:[51, 33, 53] Operation: 29+24=53
Exploring Operation: 29+33=62, Resulting Numbers: [51, 24, 62]
Generated Node #0,2: 89:[51, 24, 62] Operation: 29+33=62
Exploring Operation: 51+24=75, Resulting Numbers: [29, 33, 75]
Generated Node #0,3: 89:[29, 33, 75] Operation: 51+24=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[24, 33, 80], Operations: ['29+51=80']
Exploring Operation: 24+33=57, Resulting Numbers: [80, 57]
Generated Node #0,0,0: 89:[80, 57] Operation: 24+33=57
Exploring Operation: 24+80=104, Resulting Numbers: [33, 104]
Generated Node #0,0,1: 89:[33, 104] Operation: 24+80=104
Exploring Operation: 80-24=56, Resulting Numbers: [33, 56]
Generated Node #0,0,2: 89:[33, 56] Operation: 80-24=56
Exploring Operation: 33-24=9, Resulting Numbers: [80, 9]
Generated Node #0,0,3: 89:[80, 9] Operation: 33-24=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[80, 57], Operations: ['29+51=80', '24+33=57']
Exploring Operation: 80*57=4560, Resulting Numbers: [4560]
4560,89 unequal: No Solution
Exploring Operation: 80+57=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 80-57=23, Resulting Numbers: [23]
23,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[33, 104], Operations: ['29+51=80', '24+80=104']
Exploring Operation: 33+104=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 33*104=3432, Resulting Numbers: [3432]
3432,89 unequal: No Solution
Exploring Operation: 104-33=71, Resulting Numbers: [71]
71,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[33, 56], Operations: ['29+51=80', '80-24=56']
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[29, 51, 24, 33], Operations: []
Exploring Operation: 29+51=80, Resulting Numbers: [24, 33, 80]
Generated Node #0,0: 89:[24, 33, 80] Operation: 29+51=80
Moving to Node #0,0
Current State: 89:[24, 33, 80], Operations: ['29+51=80']
Exploring Operation: 80-24=56, Resulting Numbers: [33, 56]
Generated Node #0,0,2: 89:[33, 56] Operation: 80-24=56
Moving to Node #0,0,2
Current State: 89:[33, 56], Operations: ['29+51=80', '80-24=56']
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
45,
37,
9,
80
] | 63 | [
"45-37=8",
"80-9=71",
"71-8=63"
] | Current State: 63:[45, 37, 9, 80], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [9, 80, 8]
Generated Node #2: [9, 80, 8] from Operation: 45-37=8
Current State: 63:[9, 80, 8], Operations: ['45-37=8']
Exploring Operation: 80-9=71, Resulting Numbers: [8, 71]
Generated Node #3: [8, 71] from Operation: 80-9=71
Current State: 63:[8, 71], Operations: ['45-37=8', '80-9=71']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[45, 37, 9, 80], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [9, 80, 8]
Generated Node #0,0: 63:[9, 80, 8] Operation: 45-37=8
Exploring Operation: 45/9=5, Resulting Numbers: [37, 80, 5]
Generated Node #0,1: 63:[37, 80, 5] Operation: 45/9=5
Exploring Operation: 45+37=82, Resulting Numbers: [9, 80, 82]
Generated Node #0,2: 63:[9, 80, 82] Operation: 45+37=82
Exploring Operation: 80-45=35, Resulting Numbers: [37, 9, 35]
Generated Node #0,3: 63:[37, 9, 35] Operation: 80-45=35
Moving to Node #0,0
Current State: 63:[9, 80, 8], Operations: ['45-37=8']
Exploring Operation: 80/8=10, Resulting Numbers: [9, 10]
Generated Node #0,0,0: 63:[9, 10] Operation: 80/8=10
Exploring Operation: 80-8=72, Resulting Numbers: [9, 72]
Generated Node #0,0,1: 63:[9, 72] Operation: 80-8=72
Exploring Operation: 9-8=1, Resulting Numbers: [80, 1]
Generated Node #0,0,2: 63:[80, 1] Operation: 9-8=1
Exploring Operation: 80-9=71, Resulting Numbers: [8, 71]
Generated Node #0,0,3: 63:[8, 71] Operation: 80-9=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[9, 10], Operations: ['45-37=8', '80/8=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,63 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[9, 72], Operations: ['45-37=8', '80-8=72']
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 9*72=648, Resulting Numbers: [648]
648,63 unequal: No Solution
Exploring Operation: 9+72=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[45, 37, 9, 80], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [9, 80, 8]
Generated Node #0,0: 63:[9, 80, 8] Operation: 45-37=8
Moving to Node #0,0
Current State: 63:[9, 80, 8], Operations: ['45-37=8']
Exploring Operation: 80-8=72, Resulting Numbers: [9, 72]
Generated Node #0,0,1: 63:[9, 72] Operation: 80-8=72
Moving to Node #0,0,1
Current State: 63:[9, 72], Operations: ['45-37=8', '80-8=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
1,
29,
89,
24
] | 83 | [
"1+29=30",
"89+24=113",
"113-30=83"
] | Current State: 83:[1, 29, 89, 24], Operations: []
Exploring Operation: 1+29=30, Resulting Numbers: [89, 24, 30]
Generated Node #2: [89, 24, 30] from Operation: 1+29=30
Current State: 83:[89, 24, 30], Operations: ['1+29=30']
Exploring Operation: 89+24=113, Resulting Numbers: [30, 113]
Generated Node #3: [30, 113] from Operation: 89+24=113
Current State: 83:[30, 113], Operations: ['1+29=30', '89+24=113']
Exploring Operation: 113-30=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[1, 29, 89, 24], Operations: []
Exploring Operation: 29+24=53, Resulting Numbers: [1, 89, 53]
Generated Node #0,0: 83:[1, 89, 53] Operation: 29+24=53
Exploring Operation: 1+24=25, Resulting Numbers: [29, 89, 25]
Generated Node #0,1: 83:[29, 89, 25] Operation: 1+24=25
Exploring Operation: 1+29=30, Resulting Numbers: [89, 24, 30]
Generated Node #0,2: 83:[89, 24, 30] Operation: 1+29=30
Exploring Operation: 89-1=88, Resulting Numbers: [29, 24, 88]
Generated Node #0,3: 83:[29, 24, 88] Operation: 89-1=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[1, 89, 53], Operations: ['29+24=53']
Exploring Operation: 1*89=89, Resulting Numbers: [53, 89]
Generated Node #0,0,0: 83:[53, 89] Operation: 1*89=89
Exploring Operation: 1+53=54, Resulting Numbers: [89, 54]
Generated Node #0,0,1: 83:[89, 54] Operation: 1+53=54
Exploring Operation: 89/1=89, Resulting Numbers: [53, 89]
Generated Node #0,0,2: 83:[53, 89] Operation: 89/1=89
Exploring Operation: 89-1=88, Resulting Numbers: [53, 88]
Generated Node #0,0,3: 83:[53, 88] Operation: 89-1=88
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[89, 54], Operations: ['29+24=53', '1+53=54']
Exploring Operation: 89*54=4806, Resulting Numbers: [4806]
4806,83 unequal: No Solution
Exploring Operation: 89+54=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[53, 88], Operations: ['29+24=53', '89-1=88']
Exploring Operation: 53*88=4664, Resulting Numbers: [4664]
4664,83 unequal: No Solution
Exploring Operation: 53+88=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[53, 89], Operations: ['29+24=53', '1*89=89']
Exploring Operation: 53*89=4717, Resulting Numbers: [4717]
4717,83 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 53+89=142, Resulting Numbers: [142]
142,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[53, 89], Operations: ['29+24=53', '89/1=89']
Exploring Operation: 53+89=142, Resulting Numbers: [142]
142,83 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 53*89=4717, Resulting Numbers: [4717]
4717,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[29, 89, 25], Operations: ['1+24=25']
Exploring Operation: 89-29=60, Resulting Numbers: [25, 60]
Generated Node #0,1,0: 83:[25, 60] Operation: 89-29=60
Exploring Operation: 89-25=64, Resulting Numbers: [29, 64]
Generated Node #0,1,1: 83:[29, 64] Operation: 89-25=64
Exploring Operation: 29+25=54, Resulting Numbers: [89, 54]
Generated Node #0,1,2: 83:[89, 54] Operation: 29+25=54
Exploring Operation: 29-25=4, Resulting Numbers: [89, 4]
Generated Node #0,1,3: 83:[89, 4] Operation: 29-25=4
Moving to Node #0,1,2
Current State: 83:[89, 54], Operations: ['1+24=25', '29+25=54']
Exploring Operation: 89*54=4806, Resulting Numbers: [4806]
4806,83 unequal: No Solution
Exploring Operation: 89+54=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[29, 64], Operations: ['1+24=25', '89-25=64']
Exploring Operation: 29*64=1856, Resulting Numbers: [1856]
1856,83 unequal: No Solution
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[25, 60], Operations: ['1+24=25', '89-29=60']
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,83 unequal: No Solution
Exploring Operation: 25*60=1500, Resulting Numbers: [1500]
1500,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[89, 4], Operations: ['1+24=25', '29-25=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,83 unequal: No Solution
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 89*4=356, Resulting Numbers: [356]
356,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[89, 24, 30], Operations: ['1+29=30']
Exploring Operation: 89-30=59, Resulting Numbers: [24, 59]
Generated Node #0,2,0: 83:[24, 59] Operation: 89-30=59
Exploring Operation: 24+30=54, Resulting Numbers: [89, 54]
Generated Node #0,2,1: 83:[89, 54] Operation: 24+30=54
Exploring Operation: 89+24=113, Resulting Numbers: [30, 113]
Generated Node #0,2,2: 83:[30, 113] Operation: 89+24=113
Exploring Operation: 89-24=65, Resulting Numbers: [30, 65]
Generated Node #0,2,3: 83:[30, 65] Operation: 89-24=65
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[89, 54], Operations: ['1+29=30', '24+30=54']
Exploring Operation: 89*54=4806, Resulting Numbers: [4806]
4806,83 unequal: No Solution
Exploring Operation: 89+54=143, Resulting Numbers: [143]
143,83 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 83:[30, 65], Operations: ['1+29=30', '89-24=65']
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,83 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[24, 59], Operations: ['1+29=30', '89-30=59']
Exploring Operation: 24*59=1416, Resulting Numbers: [1416]
1416,83 unequal: No Solution
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,83 unequal: No Solution
Exploring Operation: 24+59=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[1, 29, 89, 24], Operations: []
Exploring Operation: 1+29=30, Resulting Numbers: [89, 24, 30]
Generated Node #0,2: 83:[89, 24, 30] Operation: 1+29=30
Moving to Node #0,2
Current State: 83:[89, 24, 30], Operations: ['1+29=30']
Exploring Operation: 89-30=59, Resulting Numbers: [24, 59]
Generated Node #0,2,0: 83:[24, 59] Operation: 89-30=59
Moving to Node #0,2,0
Current State: 83:[24, 59], Operations: ['1+29=30', '89-30=59']
Exploring Operation: 24+59=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.953993 | hs_4 | mult_heuristic |
[
45,
85,
41,
95
] | 40 | [
"45-41=4",
"95-85=10",
"4*10=40"
] | Current State: 40:[45, 85, 41, 95], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [85, 95, 4]
Generated Node #2: [85, 95, 4] from Operation: 45-41=4
Current State: 40:[85, 95, 4], Operations: ['45-41=4']
Exploring Operation: 95-85=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 95-85=10
Current State: 40:[4, 10], Operations: ['45-41=4', '95-85=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[45, 85, 41, 95], Operations: []
Exploring Operation: 85-45=40, Resulting Numbers: [41, 95, 40]
Generated Node #0,0: 40:[41, 95, 40] Operation: 85-45=40
Exploring Operation: 95-45=50, Resulting Numbers: [85, 41, 50]
Generated Node #0,1: 40:[85, 41, 50] Operation: 95-45=50
Exploring Operation: 95-85=10, Resulting Numbers: [45, 41, 10]
Generated Node #0,2: 40:[45, 41, 10] Operation: 95-85=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[45, 41, 10], Operations: ['95-85=10']
Exploring Operation: 41-10=31, Resulting Numbers: [45, 31]
Generated Node #0,2,0: 40:[45, 31] Operation: 41-10=31
Exploring Operation: 45-41=4, Resulting Numbers: [10, 4]
Generated Node #0,2,1: 40:[10, 4] Operation: 45-41=4
Exploring Operation: 45-10=35, Resulting Numbers: [41, 35]
Generated Node #0,2,2: 40:[41, 35] Operation: 45-10=35
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 40:[10, 4], Operations: ['95-85=10', '45-41=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[45, 85, 41, 95], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [45, 41, 10]
Generated Node #0,2: 40:[45, 41, 10] Operation: 95-85=10
Moving to Node #0,2
Current State: 40:[45, 41, 10], Operations: ['95-85=10']
Exploring Operation: 45-41=4, Resulting Numbers: [10, 4]
Generated Node #0,2,1: 40:[10, 4] Operation: 45-41=4
Moving to Node #0,2,1
Current State: 40:[10, 4], Operations: ['95-85=10', '45-41=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
65,
90,
76,
1
] | 79 | [
"65+90=155",
"76*1=76",
"155-76=79"
] | Current State: 79:[65, 90, 76, 1], Operations: []
Exploring Operation: 65+90=155, Resulting Numbers: [76, 1, 155]
Generated Node #2: [76, 1, 155] from Operation: 65+90=155
Current State: 79:[76, 1, 155], Operations: ['65+90=155']
Exploring Operation: 76*1=76, Resulting Numbers: [155, 76]
Generated Node #3: [155, 76] from Operation: 76*1=76
Current State: 79:[155, 76], Operations: ['65+90=155', '76*1=76']
Exploring Operation: 155-76=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[65, 90, 76, 1], Operations: []
Exploring Operation: 65+1=66, Resulting Numbers: [90, 76, 66]
Generated Node #0,0: 79:[90, 76, 66] Operation: 65+1=66
Exploring Operation: 76+1=77, Resulting Numbers: [65, 90, 77]
Generated Node #0,1: 79:[65, 90, 77] Operation: 76+1=77
Exploring Operation: 90-1=89, Resulting Numbers: [65, 76, 89]
Generated Node #0,2: 79:[65, 76, 89] Operation: 90-1=89
Moving to Node #0,0
Current State: 79:[90, 76, 66], Operations: ['65+1=66']
Exploring Operation: 76+66=142, Resulting Numbers: [90, 142]
Generated Node #0,0,0: 79:[90, 142] Operation: 76+66=142
Exploring Operation: 90-76=14, Resulting Numbers: [66, 14]
Generated Node #0,0,1: 79:[66, 14] Operation: 90-76=14
Exploring Operation: 90-66=24, Resulting Numbers: [76, 24]
Generated Node #0,0,2: 79:[76, 24] Operation: 90-66=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[76, 24], Operations: ['65+1=66', '90-66=24']
Exploring Operation: 76*24=1824, Resulting Numbers: [1824]
1824,79 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[90, 142], Operations: ['65+1=66', '76+66=142']
Exploring Operation: 90*142=12780, Resulting Numbers: [12780]
12780,79 unequal: No Solution
Exploring Operation: 90+142=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Exploring Operation: 142-90=52, Resulting Numbers: [52]
52,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[66, 14], Operations: ['65+1=66', '90-76=14']
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,79 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 79:[65, 90, 77], Operations: ['76+1=77']
Exploring Operation: 65+77=142, Resulting Numbers: [90, 142]
Generated Node #0,1,0: 79:[90, 142] Operation: 65+77=142
Exploring Operation: 90-65=25, Resulting Numbers: [77, 25]
Generated Node #0,1,1: 79:[77, 25] Operation: 90-65=25
Exploring Operation: 65+90=155, Resulting Numbers: [77, 155]
Generated Node #0,1,2: 79:[77, 155] Operation: 65+90=155
Moving to Node #0,2
Current State: 79:[65, 76, 89], Operations: ['90-1=89']
Exploring Operation: 65+76=141, Resulting Numbers: [89, 141]
Generated Node #0,2,0: 79:[89, 141] Operation: 65+76=141
Exploring Operation: 89-65=24, Resulting Numbers: [76, 24]
Generated Node #0,2,1: 79:[76, 24] Operation: 89-65=24
Exploring Operation: 76-65=11, Resulting Numbers: [89, 11]
Generated Node #0,2,2: 79:[89, 11] Operation: 76-65=11
Moving to Node #0,1,1
Current State: 79:[77, 25], Operations: ['76+1=77', '90-65=25']
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,79 unequal: No Solution
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,79 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[76, 24], Operations: ['90-1=89', '89-65=24']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 76*24=1824, Resulting Numbers: [1824]
1824,79 unequal: No Solution
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[89, 141], Operations: ['90-1=89', '65+76=141']
Exploring Operation: 141-89=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 89+141=230, Resulting Numbers: [230]
230,79 unequal: No Solution
Exploring Operation: 89*141=12549, Resulting Numbers: [12549]
12549,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[90, 142], Operations: ['76+1=77', '65+77=142']
Exploring Operation: 90*142=12780, Resulting Numbers: [12780]
12780,79 unequal: No Solution
Exploring Operation: 142-90=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 90+142=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[89, 11], Operations: ['90-1=89', '76-65=11']
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,79 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,79 unequal: No Solution
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[77, 155], Operations: ['76+1=77', '65+90=155']
Exploring Operation: 77+155=232, Resulting Numbers: [232]
232,79 unequal: No Solution
Exploring Operation: 77*155=11935, Resulting Numbers: [11935]
11935,79 unequal: No Solution
Exploring Operation: 155-77=78, Resulting Numbers: [78]
78,79 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
67,
39,
25,
25
] | 29 | [
"67-39=28",
"25/25=1",
"28+1=29"
] | Current State: 29:[67, 39, 25, 25], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [25, 25, 28]
Generated Node #2: [25, 25, 28] from Operation: 67-39=28
Current State: 29:[25, 25, 28], Operations: ['67-39=28']
Exploring Operation: 25/25=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 25/25=1
Current State: 29:[28, 1], Operations: ['67-39=28', '25/25=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[67, 39, 25, 25], Operations: []
Exploring Operation: 67-25=42, Resulting Numbers: [39, 25, 42]
Generated Node #0,0: 29:[39, 25, 42] Operation: 67-25=42
Exploring Operation: 39-25=14, Resulting Numbers: [67, 25, 14]
Generated Node #0,1: 29:[67, 25, 14] Operation: 39-25=14
Exploring Operation: 39-25=14, Resulting Numbers: [67, 25, 14]
Generated Node #0,2: 29:[67, 25, 14] Operation: 39-25=14
Exploring Operation: 67-39=28, Resulting Numbers: [25, 25, 28]
Generated Node #0,3: 29:[25, 25, 28] Operation: 67-39=28
Exploring Operation: 67-25=42, Resulting Numbers: [39, 25, 42]
Generated Node #0,4: 29:[39, 25, 42] Operation: 67-25=42
Moving to Node #0,3
Current State: 29:[25, 25, 28], Operations: ['67-39=28']
Exploring Operation: 25+28=53, Resulting Numbers: [25, 53]
Generated Node #0,3,0: 29:[25, 53] Operation: 25+28=53
Exploring Operation: 25+28=53, Resulting Numbers: [25, 53]
Generated Node #0,3,1: 29:[25, 53] Operation: 25+28=53
Exploring Operation: 25/25=1, Resulting Numbers: [28, 1]
Generated Node #0,3,2: 29:[28, 1] Operation: 25/25=1
Exploring Operation: 25-25=0, Resulting Numbers: [28, 0]
Generated Node #0,3,3: 29:[28, 0] Operation: 25-25=0
Exploring Operation: 25+25=50, Resulting Numbers: [28, 50]
Generated Node #0,3,4: 29:[28, 50] Operation: 25+25=50
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 29:[28, 50], Operations: ['67-39=28', '25+25=50']
Exploring Operation: 28+50=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 28*50=1400, Resulting Numbers: [1400]
1400,29 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:[25, 53], Operations: ['67-39=28', '25+28=53']
Exploring Operation: 25*53=1325, Resulting Numbers: [1325]
1325,29 unequal: No Solution
Exploring Operation: 25+53=78, Resulting Numbers: [78]
78,29 unequal: No Solution
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,29 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:[25, 53], Operations: ['67-39=28', '25+28=53']
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 25*53=1325, Resulting Numbers: [1325]
1325,29 unequal: No Solution
Exploring Operation: 25+53=78, Resulting Numbers: [78]
78,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 29:[28, 1], Operations: ['67-39=28', '25/25=1']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[67, 39, 25, 25], Operations: []
Exploring Operation: 67-39=28, Resulting Numbers: [25, 25, 28]
Generated Node #0,3: 29:[25, 25, 28] Operation: 67-39=28
Moving to Node #0,3
Current State: 29:[25, 25, 28], Operations: ['67-39=28']
Exploring Operation: 25/25=1, Resulting Numbers: [28, 1]
Generated Node #0,3,2: 29:[28, 1] Operation: 25/25=1
Moving to Node #0,3,2
Current State: 29:[28, 1], Operations: ['67-39=28', '25/25=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
30,
17,
82,
15
] | 67 | [
"30/15=2",
"82-17=65",
"2+65=67"
] | Current State: 67:[30, 17, 82, 15], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [17, 82, 2]
Generated Node #2: [17, 82, 2] from Operation: 30/15=2
Current State: 67:[17, 82, 2], Operations: ['30/15=2']
Exploring Operation: 82-17=65, Resulting Numbers: [2, 65]
Generated Node #3: [2, 65] from Operation: 82-17=65
Current State: 67:[2, 65], Operations: ['30/15=2', '82-17=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[30, 17, 82, 15], Operations: []
Exploring Operation: 30+17=47, Resulting Numbers: [82, 15, 47]
Generated Node #0,0: 67:[82, 15, 47] Operation: 30+17=47
Exploring Operation: 82-15=67, Resulting Numbers: [30, 17, 67]
Generated Node #0,1: 67:[30, 17, 67] Operation: 82-15=67
Exploring Operation: 17+15=32, Resulting Numbers: [30, 82, 32]
Generated Node #0,2: 67:[30, 82, 32] Operation: 17+15=32
Exploring Operation: 30+15=45, Resulting Numbers: [17, 82, 45]
Generated Node #0,3: 67:[17, 82, 45] Operation: 30+15=45
Exploring Operation: 82-17=65, Resulting Numbers: [30, 15, 65]
Generated Node #0,4: 67:[30, 15, 65] Operation: 82-17=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[82, 15, 47], Operations: ['30+17=47']
Exploring Operation: 82+15=97, Resulting Numbers: [47, 97]
Generated Node #0,0,0: 67:[47, 97] Operation: 82+15=97
Exploring Operation: 15+47=62, Resulting Numbers: [82, 62]
Generated Node #0,0,1: 67:[82, 62] Operation: 15+47=62
Exploring Operation: 82-47=35, Resulting Numbers: [15, 35]
Generated Node #0,0,2: 67:[15, 35] Operation: 82-47=35
Exploring Operation: 47-15=32, Resulting Numbers: [82, 32]
Generated Node #0,0,3: 67:[82, 32] Operation: 47-15=32
Exploring Operation: 82-15=67, Resulting Numbers: [47, 67]
Generated Node #0,0,4: 67:[47, 67] Operation: 82-15=67
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[82, 62], Operations: ['30+17=47', '15+47=62']
Exploring Operation: 82*62=5084, Resulting Numbers: [5084]
5084,67 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 82+62=144, Resulting Numbers: [144]
144,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 67:[47, 67], Operations: ['30+17=47', '82-15=67']
Exploring Operation: 47*67=3149, Resulting Numbers: [3149]
3149,67 unequal: No Solution
Exploring Operation: 47+67=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[47, 97], Operations: ['30+17=47', '82+15=97']
Exploring Operation: 47*97=4559, Resulting Numbers: [4559]
4559,67 unequal: No Solution
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 47+97=144, Resulting Numbers: [144]
144,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 67:[82, 32], Operations: ['30+17=47', '47-15=32']
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 82+32=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 82*32=2624, Resulting Numbers: [2624]
2624,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[15, 35], Operations: ['30+17=47', '82-47=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 15*35=525, Resulting Numbers: [525]
525,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[30, 17, 67], Operations: ['82-15=67']
Exploring Operation: 67-17=50, Resulting Numbers: [30, 50]
Generated Node #0,1,0: 67:[30, 50] Operation: 67-17=50
Exploring Operation: 17+67=84, Resulting Numbers: [30, 84]
Generated Node #0,1,1: 67:[30, 84] Operation: 17+67=84
Exploring Operation: 30+67=97, Resulting Numbers: [17, 97]
Generated Node #0,1,2: 67:[17, 97] Operation: 30+67=97
Exploring Operation: 30+17=47, Resulting Numbers: [67, 47]
Generated Node #0,1,3: 67:[67, 47] Operation: 30+17=47
Exploring Operation: 30-17=13, Resulting Numbers: [67, 13]
Generated Node #0,1,4: 67:[67, 13] Operation: 30-17=13
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[67, 47], Operations: ['82-15=67', '30+17=47']
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 67*47=3149, Resulting Numbers: [3149]
3149,67 unequal: No Solution
Exploring Operation: 67+47=114, Resulting Numbers: [114]
114,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[30, 50], Operations: ['82-15=67', '67-17=50']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[30, 84], Operations: ['82-15=67', '17+67=84']
Exploring Operation: 30*84=2520, Resulting Numbers: [2520]
2520,67 unequal: No Solution
Exploring Operation: 30+84=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 67:[67, 13], Operations: ['82-15=67', '30-17=13']
Exploring Operation: 67+13=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 67*13=871, Resulting Numbers: [871]
871,67 unequal: No Solution
Exploring Operation: 67-13=54, Resulting Numbers: [54]
54,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[17, 97], Operations: ['82-15=67', '30+67=97']
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 17+97=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 17*97=1649, Resulting Numbers: [1649]
1649,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[30, 82, 32], Operations: ['17+15=32']
Exploring Operation: 30+32=62, Resulting Numbers: [82, 62]
Generated Node #0,2,0: 67:[82, 62] Operation: 30+32=62
Exploring Operation: 32-30=2, Resulting Numbers: [82, 2]
Generated Node #0,2,1: 67:[82, 2] Operation: 32-30=2
Exploring Operation: 30+82=112, Resulting Numbers: [32, 112]
Generated Node #0,2,2: 67:[32, 112] Operation: 30+82=112
Exploring Operation: 82-30=52, Resulting Numbers: [32, 52]
Generated Node #0,2,3: 67:[32, 52] Operation: 82-30=52
Exploring Operation: 82-32=50, Resulting Numbers: [30, 50]
Generated Node #0,2,4: 67:[30, 50] Operation: 82-32=50
Moving to Node #0,2,0
Current State: 67:[82, 62], Operations: ['17+15=32', '30+32=62']
Exploring Operation: 82*62=5084, Resulting Numbers: [5084]
5084,67 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 82+62=144, Resulting Numbers: [144]
144,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[32, 52], Operations: ['17+15=32', '82-30=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,67 unequal: No Solution
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[30, 50], Operations: ['17+15=32', '82-32=50']
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[82, 2], Operations: ['17+15=32', '32-30=2']
Exploring Operation: 82*2=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,67 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[32, 112], Operations: ['17+15=32', '30+82=112']
Exploring Operation: 32+112=144, Resulting Numbers: [144]
144,67 unequal: No Solution
Exploring Operation: 112-32=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 32*112=3584, Resulting Numbers: [3584]
3584,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[17, 82, 45], Operations: ['30+15=45']
Exploring Operation: 82-17=65, Resulting Numbers: [45, 65]
Generated Node #0,3,0: 67:[45, 65] Operation: 82-17=65
Exploring Operation: 17+82=99, Resulting Numbers: [45, 99]
Generated Node #0,3,1: 67:[45, 99] Operation: 17+82=99
Exploring Operation: 17+45=62, Resulting Numbers: [82, 62]
Generated Node #0,3,2: 67:[82, 62] Operation: 17+45=62
Exploring Operation: 82-45=37, Resulting Numbers: [17, 37]
Generated Node #0,3,3: 67:[17, 37] Operation: 82-45=37
Exploring Operation: 45-17=28, Resulting Numbers: [82, 28]
Generated Node #0,3,4: 67:[82, 28] Operation: 45-17=28
Moving to Node #0,3,2
Current State: 67:[82, 62], Operations: ['30+15=45', '17+45=62']
Exploring Operation: 82+62=144, Resulting Numbers: [144]
144,67 unequal: No Solution
Exploring Operation: 82*62=5084, Resulting Numbers: [5084]
5084,67 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[45, 65], Operations: ['30+15=45', '82-17=65']
Exploring Operation: 45+65=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 45*65=2925, Resulting Numbers: [2925]
2925,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[45, 99], Operations: ['30+15=45', '17+82=99']
Exploring Operation: 45*99=4455, Resulting Numbers: [4455]
4455,67 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,67 unequal: No Solution
Exploring Operation: 45+99=144, Resulting Numbers: [144]
144,67 unequal: No Solution
Moving to Node #0,3,4
Current State: 67:[82, 28], Operations: ['30+15=45', '45-17=28']
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,67 unequal: No Solution
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[17, 37], Operations: ['30+15=45', '82-45=37']
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,67 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,67 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,67 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 #0,4
Current State: 67:[30, 15, 65], Operations: ['82-17=65']
Exploring Operation: 30-15=15, Resulting Numbers: [65, 15]
Generated Node #0,4,0: 67:[65, 15] Operation: 30-15=15
Exploring Operation: 15+65=80, Resulting Numbers: [30, 80]
Generated Node #0,4,1: 67:[30, 80] Operation: 15+65=80
Exploring Operation: 30+15=45, Resulting Numbers: [65, 45]
Generated Node #0,4,2: 67:[65, 45] Operation: 30+15=45
Exploring Operation: 30/15=2, Resulting Numbers: [65, 2]
Generated Node #0,4,3: 67:[65, 2] Operation: 30/15=2
Exploring Operation: 65-15=50, Resulting Numbers: [30, 50]
Generated Node #0,4,4: 67:[30, 50] Operation: 65-15=50
Moving to Node #0,4,2
Current State: 67:[65, 45], Operations: ['82-17=65', '30+15=45']
Exploring Operation: 65+45=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Exploring Operation: 65*45=2925, Resulting Numbers: [2925]
2925,67 unequal: No Solution
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Moving to Node #0,4,1
Current State: 67:[30, 80], Operations: ['82-17=65', '15+65=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 30*80=2400, Resulting Numbers: [2400]
2400,67 unequal: No Solution
Exploring Operation: 30+80=110, Resulting Numbers: [110]
110,67 unequal: No Solution
Moving to Node #0,4,0
Current State: 67:[65, 15], Operations: ['82-17=65', '30-15=15']
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,67 unequal: No Solution
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,67 unequal: No Solution
Moving to Node #0,4,4
Current State: 67:[30, 50], Operations: ['82-17=65', '65-15=50']
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,67 unequal: No Solution
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,67 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Moving to Node #0,4,3
Current State: 67:[65, 2], Operations: ['82-17=65', '30/15=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[30, 17, 82, 15], Operations: []
Exploring Operation: 82-17=65, Resulting Numbers: [30, 15, 65]
Generated Node #0,4: 67:[30, 15, 65] Operation: 82-17=65
Moving to Node #0,4
Current State: 67:[30, 15, 65], Operations: ['82-17=65']
Exploring Operation: 30/15=2, Resulting Numbers: [65, 2]
Generated Node #0,4,3: 67:[65, 2] Operation: 30/15=2
Moving to Node #0,4,3
Current State: 67:[65, 2], Operations: ['82-17=65', '30/15=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.90625 | hs_5 | mult_heuristic |
[
61,
23,
47,
35
] | 96 | [
"61+23=84",
"47-35=12",
"84+12=96"
] | Current State: 96:[61, 23, 47, 35], Operations: []
Exploring Operation: 61+23=84, Resulting Numbers: [47, 35, 84]
Generated Node #2: [47, 35, 84] from Operation: 61+23=84
Current State: 96:[47, 35, 84], Operations: ['61+23=84']
Exploring Operation: 47-35=12, Resulting Numbers: [84, 12]
Generated Node #3: [84, 12] from Operation: 47-35=12
Current State: 96:[84, 12], Operations: ['61+23=84', '47-35=12']
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[61, 23, 47, 35], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [23, 47, 26]
Generated Node #0,0: 96:[23, 47, 26] Operation: 61-35=26
Exploring Operation: 61+35=96, Resulting Numbers: [23, 47, 96]
Generated Node #0,1: 96:[23, 47, 96] Operation: 61+35=96
Moving to Node #0,1
Current State: 96:[23, 47, 96], Operations: ['61+35=96']
Exploring Operation: 47-23=24, Resulting Numbers: [96, 24]
Generated Node #0,1,0: 96:[96, 24] Operation: 47-23=24
Exploring Operation: 96-47=49, Resulting Numbers: [23, 49]
Generated Node #0,1,1: 96:[23, 49] Operation: 96-47=49
Moving to Node #0,0
Current State: 96:[23, 47, 26], Operations: ['61-35=26']
Exploring Operation: 47-23=24, Resulting Numbers: [26, 24]
Generated Node #0,0,0: 96:[26, 24] Operation: 47-23=24
Exploring Operation: 26-23=3, Resulting Numbers: [47, 3]
Generated Node #0,0,1: 96:[47, 3] Operation: 26-23=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[47, 3], Operations: ['61-35=26', '26-23=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[26, 24], Operations: ['61-35=26', '47-23=24']
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,96 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 96:[96, 24], Operations: ['61+35=96', '47-23=24']
Exploring Operation: 96/24=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 96+24=120, Resulting Numbers: [120]
120,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[23, 49], Operations: ['61+35=96', '96-47=49']
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,96 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,96 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
23,
17,
54,
60
] | 81 | [
"23+17=40",
"54*60=3240",
"3240/40=81"
] | Current State: 81:[23, 17, 54, 60], Operations: []
Exploring Operation: 23+17=40, Resulting Numbers: [54, 60, 40]
Generated Node #2: [54, 60, 40] from Operation: 23+17=40
Current State: 81:[54, 60, 40], Operations: ['23+17=40']
Exploring Operation: 54*60=3240, Resulting Numbers: [40, 3240]
Generated Node #3: [40, 3240] from Operation: 54*60=3240
Current State: 81:[40, 3240], Operations: ['23+17=40', '54*60=3240']
Exploring Operation: 3240/40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[23, 17, 54, 60], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [23, 17, 6]
Generated Node #0,0: 81:[23, 17, 6] Operation: 60-54=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[23, 17, 6], Operations: ['60-54=6']
Exploring Operation: 23-17=6, Resulting Numbers: [6, 6]
Generated Node #0,0,0: 81:[6, 6] Operation: 23-17=6
Moving to Node #0,0,0
Current State: 81:[6, 6], Operations: ['60-54=6', '23-17=6']
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
96,
29,
14,
22
] | 59 | [
"96-29=67",
"22-14=8",
"67-8=59"
] | Current State: 59:[96, 29, 14, 22], Operations: []
Exploring Operation: 96-29=67, Resulting Numbers: [14, 22, 67]
Generated Node #2: [14, 22, 67] from Operation: 96-29=67
Current State: 59:[14, 22, 67], Operations: ['96-29=67']
Exploring Operation: 22-14=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 22-14=8
Current State: 59:[67, 8], Operations: ['96-29=67', '22-14=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[96, 29, 14, 22], Operations: []
Exploring Operation: 96-22=74, Resulting Numbers: [29, 14, 74]
Generated Node #0,0: 59:[29, 14, 74] Operation: 96-22=74
Exploring Operation: 96-14=82, Resulting Numbers: [29, 22, 82]
Generated Node #0,1: 59:[29, 22, 82] Operation: 96-14=82
Exploring Operation: 29+22=51, Resulting Numbers: [96, 14, 51]
Generated Node #0,2: 59:[96, 14, 51] Operation: 29+22=51
Exploring Operation: 29+14=43, Resulting Numbers: [96, 22, 43]
Generated Node #0,3: 59:[96, 22, 43] Operation: 29+14=43
Exploring Operation: 96-29=67, Resulting Numbers: [14, 22, 67]
Generated Node #0,4: 59:[14, 22, 67] Operation: 96-29=67
Moving to Node #0,0
Current State: 59:[29, 14, 74], Operations: ['96-22=74']
Exploring Operation: 74-29=45, Resulting Numbers: [14, 45]
Generated Node #0,0,0: 59:[14, 45] Operation: 74-29=45
Exploring Operation: 29-14=15, Resulting Numbers: [74, 15]
Generated Node #0,0,1: 59:[74, 15] Operation: 29-14=15
Exploring Operation: 29+14=43, Resulting Numbers: [74, 43]
Generated Node #0,0,2: 59:[74, 43] Operation: 29+14=43
Exploring Operation: 14+74=88, Resulting Numbers: [29, 88]
Generated Node #0,0,3: 59:[29, 88] Operation: 14+74=88
Exploring Operation: 74-14=60, Resulting Numbers: [29, 60]
Generated Node #0,0,4: 59:[29, 60] Operation: 74-14=60
Moving to Node #0,2
Current State: 59:[96, 14, 51], Operations: ['29+22=51']
Exploring Operation: 96-14=82, Resulting Numbers: [51, 82]
Generated Node #0,2,0: 59:[51, 82] Operation: 96-14=82
Exploring Operation: 96-51=45, Resulting Numbers: [14, 45]
Generated Node #0,2,1: 59:[14, 45] Operation: 96-51=45
Exploring Operation: 96+14=110, Resulting Numbers: [51, 110]
Generated Node #0,2,2: 59:[51, 110] Operation: 96+14=110
Exploring Operation: 14+51=65, Resulting Numbers: [96, 65]
Generated Node #0,2,3: 59:[96, 65] Operation: 14+51=65
Exploring Operation: 51-14=37, Resulting Numbers: [96, 37]
Generated Node #0,2,4: 59:[96, 37] Operation: 51-14=37
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[51, 82], Operations: ['29+22=51', '96-14=82']
Exploring Operation: 51+82=133, Resulting Numbers: [133]
133,59 unequal: No Solution
Exploring Operation: 51*82=4182, Resulting Numbers: [4182]
4182,59 unequal: No Solution
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[96, 65], Operations: ['29+22=51', '14+51=65']
Exploring Operation: 96+65=161, Resulting Numbers: [161]
161,59 unequal: No Solution
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 96*65=6240, Resulting Numbers: [6240]
6240,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[14, 45], Operations: ['29+22=51', '96-51=45']
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,59 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[96, 29, 14, 22], Operations: []
Exploring Operation: 29+22=51, Resulting Numbers: [96, 14, 51]
Generated Node #0,2: 59:[96, 14, 51] Operation: 29+22=51
Moving to Node #0,2
Current State: 59:[96, 14, 51], Operations: ['29+22=51']
Exploring Operation: 96-51=45, Resulting Numbers: [14, 45]
Generated Node #0,2,1: 59:[14, 45] Operation: 96-51=45
Moving to Node #0,2,1
Current State: 59:[14, 45], Operations: ['29+22=51', '96-51=45']
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
24,
85,
14,
29
] | 20 | [
"85-29=56",
"56/14=4",
"24-4=20"
] | Current State: 20:[24, 85, 14, 29], Operations: []
Exploring Operation: 85-29=56, Resulting Numbers: [24, 14, 56]
Generated Node #2: [24, 14, 56] from Operation: 85-29=56
Current State: 20:[24, 14, 56], Operations: ['85-29=56']
Exploring Operation: 56/14=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 56/14=4
Current State: 20:[24, 4], Operations: ['85-29=56', '56/14=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[24, 85, 14, 29], Operations: []
Exploring Operation: 85-14=71, Resulting Numbers: [24, 29, 71]
Generated Node #0,0: 20:[24, 29, 71] Operation: 85-14=71
Exploring Operation: 85-24=61, Resulting Numbers: [14, 29, 61]
Generated Node #0,1: 20:[14, 29, 61] Operation: 85-24=61
Exploring Operation: 85-29=56, Resulting Numbers: [24, 14, 56]
Generated Node #0,2: 20:[24, 14, 56] Operation: 85-29=56
Moving to Node #0,2
Current State: 20:[24, 14, 56], Operations: ['85-29=56']
Exploring Operation: 56-24=32, Resulting Numbers: [14, 32]
Generated Node #0,2,0: 20:[14, 32] Operation: 56-24=32
Exploring Operation: 56/14=4, Resulting Numbers: [24, 4]
Generated Node #0,2,1: 20:[24, 4] Operation: 56/14=4
Exploring Operation: 56-14=42, Resulting Numbers: [24, 42]
Generated Node #0,2,2: 20:[24, 42] Operation: 56-14=42
Moving to Node #0,1
Current State: 20:[14, 29, 61], Operations: ['85-24=61']
Exploring Operation: 29-14=15, Resulting Numbers: [61, 15]
Generated Node #0,1,0: 20:[61, 15] Operation: 29-14=15
Exploring Operation: 61-29=32, Resulting Numbers: [14, 32]
Generated Node #0,1,1: 20:[14, 32] Operation: 61-29=32
Exploring Operation: 61-14=47, Resulting Numbers: [29, 47]
Generated Node #0,1,2: 20:[29, 47] Operation: 61-14=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[14, 32], Operations: ['85-24=61', '61-29=32']
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,20 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:[29, 47], Operations: ['85-24=61', '61-14=47']
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,20 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Exploring Operation: 47-29=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:[61, 15], Operations: ['85-24=61', '29-14=15']
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,20 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:[24, 29, 71], Operations: ['85-14=71']
Exploring Operation: 29-24=5, Resulting Numbers: [71, 5]
Generated Node #0,0,0: 20:[71, 5] Operation: 29-24=5
Exploring Operation: 71-24=47, Resulting Numbers: [29, 47]
Generated Node #0,0,1: 20:[29, 47] Operation: 71-24=47
Exploring Operation: 71-29=42, Resulting Numbers: [24, 42]
Generated Node #0,0,2: 20:[24, 42] Operation: 71-29=42
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[24, 42], Operations: ['85-14=71', '71-29=42']
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,20 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,20 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:[29, 47], Operations: ['85-14=71', '71-24=47']
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,20 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,20 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:[71, 5], Operations: ['85-14=71', '29-24=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,20 unequal: No Solution
Exploring Operation: 71*5=355, Resulting Numbers: [355]
355,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 20:[24, 4], Operations: ['85-29=56', '56/14=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[24, 85, 14, 29], Operations: []
Exploring Operation: 85-29=56, Resulting Numbers: [24, 14, 56]
Generated Node #0,2: 20:[24, 14, 56] Operation: 85-29=56
Moving to Node #0,2
Current State: 20:[24, 14, 56], Operations: ['85-29=56']
Exploring Operation: 56/14=4, Resulting Numbers: [24, 4]
Generated Node #0,2,1: 20:[24, 4] Operation: 56/14=4
Moving to Node #0,2,1
Current State: 20:[24, 4], Operations: ['85-29=56', '56/14=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.969618 | hs_3 | mult_heuristic |
[
99,
39,
28,
80
] | 48 | [
"99-39=60",
"28+80=108",
"108-60=48"
] | Current State: 48:[99, 39, 28, 80], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [28, 80, 60]
Generated Node #2: [28, 80, 60] from Operation: 99-39=60
Current State: 48:[28, 80, 60], Operations: ['99-39=60']
Exploring Operation: 28+80=108, Resulting Numbers: [60, 108]
Generated Node #3: [60, 108] from Operation: 28+80=108
Current State: 48:[60, 108], Operations: ['99-39=60', '28+80=108']
Exploring Operation: 108-60=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[99, 39, 28, 80], Operations: []
Exploring Operation: 99-80=19, Resulting Numbers: [39, 28, 19]
Generated Node #0,0: 48:[39, 28, 19] Operation: 99-80=19
Moving to Node #0,0
Current State: 48:[39, 28, 19], Operations: ['99-80=19']
Exploring Operation: 39-28=11, Resulting Numbers: [19, 11]
Generated Node #0,0,0: 48:[19, 11] Operation: 39-28=11
Moving to Node #0,0,0
Current State: 48:[19, 11], Operations: ['99-80=19', '39-28=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,48 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
63,
66,
48,
88
] | 72 | [
"66-63=3",
"48/3=16",
"88-16=72"
] | Current State: 72:[63, 66, 48, 88], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [48, 88, 3]
Generated Node #2: [48, 88, 3] from Operation: 66-63=3
Current State: 72:[48, 88, 3], Operations: ['66-63=3']
Exploring Operation: 48/3=16, Resulting Numbers: [88, 16]
Generated Node #3: [88, 16] from Operation: 48/3=16
Current State: 72:[88, 16], Operations: ['66-63=3', '48/3=16']
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[63, 66, 48, 88], Operations: []
Exploring Operation: 88-63=25, Resulting Numbers: [66, 48, 25]
Generated Node #0,0: 72:[66, 48, 25] Operation: 88-63=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[66, 48, 25], Operations: ['88-63=25']
Exploring Operation: 66-48=18, Resulting Numbers: [25, 18]
Generated Node #0,0,0: 72:[25, 18] Operation: 66-48=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[25, 18], Operations: ['88-63=25', '66-48=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
77,
25,
55,
72
] | 35 | [
"77-25=52",
"72-55=17",
"52-17=35"
] | Current State: 35:[77, 25, 55, 72], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [55, 72, 52]
Generated Node #2: [55, 72, 52] from Operation: 77-25=52
Current State: 35:[55, 72, 52], Operations: ['77-25=52']
Exploring Operation: 72-55=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 72-55=17
Current State: 35:[52, 17], Operations: ['77-25=52', '72-55=17']
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[77, 25, 55, 72], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [77, 25, 17]
Generated Node #0,0: 35:[77, 25, 17] Operation: 72-55=17
Exploring Operation: 77-55=22, Resulting Numbers: [25, 72, 22]
Generated Node #0,1: 35:[25, 72, 22] Operation: 77-55=22
Exploring Operation: 77-25=52, Resulting Numbers: [55, 72, 52]
Generated Node #0,2: 35:[55, 72, 52] Operation: 77-25=52
Exploring Operation: 72-25=47, Resulting Numbers: [77, 55, 47]
Generated Node #0,3: 35:[77, 55, 47] Operation: 72-25=47
Exploring Operation: 77-72=5, Resulting Numbers: [25, 55, 5]
Generated Node #0,4: 35:[25, 55, 5] Operation: 77-72=5
Moving to Node #0,4
Current State: 35:[25, 55, 5], Operations: ['77-72=5']
Exploring Operation: 55-5=50, Resulting Numbers: [25, 50]
Generated Node #0,4,0: 35:[25, 50] Operation: 55-5=50
Exploring Operation: 55-25=30, Resulting Numbers: [5, 30]
Generated Node #0,4,1: 35:[5, 30] Operation: 55-25=30
Exploring Operation: 55/5=11, Resulting Numbers: [25, 11]
Generated Node #0,4,2: 35:[25, 11] Operation: 55/5=11
Exploring Operation: 25+5=30, Resulting Numbers: [55, 30]
Generated Node #0,4,3: 35:[55, 30] Operation: 25+5=30
Exploring Operation: 25/5=5, Resulting Numbers: [55, 5]
Generated Node #0,4,4: 35:[55, 5] Operation: 25/5=5
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 35:[5, 30], Operations: ['77-72=5', '55-25=30']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[77, 25, 55, 72], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [25, 55, 5]
Generated Node #0,4: 35:[25, 55, 5] Operation: 77-72=5
Moving to Node #0,4
Current State: 35:[25, 55, 5], Operations: ['77-72=5']
Exploring Operation: 55-25=30, Resulting Numbers: [5, 30]
Generated Node #0,4,1: 35:[5, 30] Operation: 55-25=30
Moving to Node #0,4,1
Current State: 35:[5, 30], Operations: ['77-72=5', '55-25=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
3,
24,
66,
89
] | 75 | [
"66-24=42",
"42/3=14",
"89-14=75"
] | Current State: 75:[3, 24, 66, 89], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [3, 89, 42]
Generated Node #2: [3, 89, 42] from Operation: 66-24=42
Current State: 75:[3, 89, 42], Operations: ['66-24=42']
Exploring Operation: 42/3=14, Resulting Numbers: [89, 14]
Generated Node #3: [89, 14] from Operation: 42/3=14
Current State: 75:[89, 14], Operations: ['66-24=42', '42/3=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[3, 24, 66, 89], Operations: []
Exploring Operation: 3+66=69, Resulting Numbers: [24, 89, 69]
Generated Node #0,0: 75:[24, 89, 69] Operation: 3+66=69
Exploring Operation: 66/3=22, Resulting Numbers: [24, 89, 22]
Generated Node #0,1: 75:[24, 89, 22] Operation: 66/3=22
Exploring Operation: 89-24=65, Resulting Numbers: [3, 66, 65]
Generated Node #0,2: 75:[3, 66, 65] Operation: 89-24=65
Exploring Operation: 89-66=23, Resulting Numbers: [3, 24, 23]
Generated Node #0,3: 75:[3, 24, 23] Operation: 89-66=23
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[3, 24, 23], Operations: ['89-66=23']
Exploring Operation: 3+24=27, Resulting Numbers: [23, 27]
Generated Node #0,3,0: 75:[23, 27] Operation: 3+24=27
Exploring Operation: 3*24=72, Resulting Numbers: [23, 72]
Generated Node #0,3,1: 75:[23, 72] Operation: 3*24=72
Exploring Operation: 24-23=1, Resulting Numbers: [3, 1]
Generated Node #0,3,2: 75:[3, 1] Operation: 24-23=1
Exploring Operation: 3+23=26, Resulting Numbers: [24, 26]
Generated Node #0,3,3: 75:[24, 26] Operation: 3+23=26
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 75:[3, 1], Operations: ['89-66=23', '24-23=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[24, 26], Operations: ['89-66=23', '3+23=26']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 75:[23, 27], Operations: ['89-66=23', '3+24=27']
Exploring Operation: 23*27=621, Resulting Numbers: [621]
621,75 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 75:[23, 72], Operations: ['89-66=23', '3*24=72']
Exploring Operation: 23*72=1656, Resulting Numbers: [1656]
1656,75 unequal: No Solution
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 23+72=95, Resulting Numbers: [95]
95,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[24, 89, 22], Operations: ['66/3=22']
Exploring Operation: 24+22=46, Resulting Numbers: [89, 46]
Generated Node #0,1,0: 75:[89, 46] Operation: 24+22=46
Exploring Operation: 24-22=2, Resulting Numbers: [89, 2]
Generated Node #0,1,1: 75:[89, 2] Operation: 24-22=2
Exploring Operation: 89-24=65, Resulting Numbers: [22, 65]
Generated Node #0,1,2: 75:[22, 65] Operation: 89-24=65
Exploring Operation: 89-22=67, Resulting Numbers: [24, 67]
Generated Node #0,1,3: 75:[24, 67] Operation: 89-22=67
Moving to Node #0,1,3
Current State: 75:[24, 67], Operations: ['66/3=22', '89-22=67']
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 24*67=1608, Resulting Numbers: [1608]
1608,75 unequal: No Solution
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[22, 65], Operations: ['66/3=22', '89-24=65']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 22+65=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Exploring Operation: 22*65=1430, Resulting Numbers: [1430]
1430,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[89, 2], Operations: ['66/3=22', '24-22=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,75 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[89, 46], Operations: ['66/3=22', '24+22=46']
Exploring Operation: 89-46=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 89+46=135, Resulting Numbers: [135]
135,75 unequal: No Solution
Exploring Operation: 89*46=4094, Resulting Numbers: [4094]
4094,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[3, 66, 65], Operations: ['89-24=65']
Exploring Operation: 66/3=22, Resulting Numbers: [65, 22]
Generated Node #0,2,0: 75:[65, 22] Operation: 66/3=22
Exploring Operation: 3+66=69, Resulting Numbers: [65, 69]
Generated Node #0,2,1: 75:[65, 69] Operation: 3+66=69
Exploring Operation: 3+65=68, Resulting Numbers: [66, 68]
Generated Node #0,2,2: 75:[66, 68] Operation: 3+65=68
Exploring Operation: 66-65=1, Resulting Numbers: [3, 1]
Generated Node #0,2,3: 75:[3, 1] Operation: 66-65=1
Moving to Node #0,2,3
Current State: 75:[3, 1], Operations: ['89-24=65', '66-65=1']
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[65, 22], Operations: ['89-24=65', '66/3=22']
Exploring Operation: 65*22=1430, Resulting Numbers: [1430]
1430,75 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[66, 68], Operations: ['89-24=65', '3+65=68']
Exploring Operation: 66+68=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 66*68=4488, Resulting Numbers: [4488]
4488,75 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[65, 69], Operations: ['89-24=65', '3+66=69']
Exploring Operation: 65*69=4485, Resulting Numbers: [4485]
4485,75 unequal: No Solution
Exploring Operation: 69-65=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 65+69=134, Resulting Numbers: [134]
134,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[24, 89, 69], Operations: ['3+66=69']
Exploring Operation: 69-24=45, Resulting Numbers: [89, 45]
Generated Node #0,0,0: 75:[89, 45] Operation: 69-24=45
Exploring Operation: 89-24=65, Resulting Numbers: [69, 65]
Generated Node #0,0,1: 75:[69, 65] Operation: 89-24=65
Exploring Operation: 24+69=93, Resulting Numbers: [89, 93]
Generated Node #0,0,2: 75:[89, 93] Operation: 24+69=93
Exploring Operation: 89-69=20, Resulting Numbers: [24, 20]
Generated Node #0,0,3: 75:[24, 20] Operation: 89-69=20
Moving to Node #0,0,3
Current State: 75:[24, 20], Operations: ['3+66=69', '89-69=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,75 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[69, 65], Operations: ['3+66=69', '89-24=65']
Exploring Operation: 69-65=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 69+65=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 69*65=4485, Resulting Numbers: [4485]
4485,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[89, 93], Operations: ['3+66=69', '24+69=93']
Exploring Operation: 89*93=8277, Resulting Numbers: [8277]
8277,75 unequal: No Solution
Exploring Operation: 93-89=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 89+93=182, Resulting Numbers: [182]
182,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[89, 45], Operations: ['3+66=69', '69-24=45']
Exploring Operation: 89*45=4005, Resulting Numbers: [4005]
4005,75 unequal: No Solution
Exploring Operation: 89+45=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 89-45=44, Resulting Numbers: [44]
44,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
74,
1,
8,
30
] | 13 | [
"74*1=74",
"30+74=104",
"104/8=13"
] | Current State: 13:[74, 1, 8, 30], Operations: []
Exploring Operation: 74*1=74, Resulting Numbers: [8, 30, 74]
Generated Node #2: [8, 30, 74] from Operation: 74*1=74
Current State: 13:[8, 30, 74], Operations: ['74*1=74']
Exploring Operation: 30+74=104, Resulting Numbers: [8, 104]
Generated Node #3: [8, 104] from Operation: 30+74=104
Current State: 13:[8, 104], Operations: ['74*1=74', '30+74=104']
Exploring Operation: 104/8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[74, 1, 8, 30], Operations: []
Exploring Operation: 74-1=73, Resulting Numbers: [8, 30, 73]
Generated Node #0,0: 13:[8, 30, 73] Operation: 74-1=73
Exploring Operation: 74-8=66, Resulting Numbers: [1, 30, 66]
Generated Node #0,1: 13:[1, 30, 66] Operation: 74-8=66
Exploring Operation: 74-30=44, Resulting Numbers: [1, 8, 44]
Generated Node #0,2: 13:[1, 8, 44] Operation: 74-30=44
Exploring Operation: 30-1=29, Resulting Numbers: [74, 8, 29]
Generated Node #0,3: 13:[74, 8, 29] Operation: 30-1=29
Exploring Operation: 1+8=9, Resulting Numbers: [74, 30, 9]
Generated Node #0,4: 13:[74, 30, 9] Operation: 1+8=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[1, 8, 44], Operations: ['74-30=44']
Exploring Operation: 8/1=8, Resulting Numbers: [44, 8]
Generated Node #0,2,0: 13:[44, 8] Operation: 8/1=8
Exploring Operation: 44-1=43, Resulting Numbers: [8, 43]
Generated Node #0,2,1: 13:[8, 43] Operation: 44-1=43
Exploring Operation: 1+8=9, Resulting Numbers: [44, 9]
Generated Node #0,2,2: 13:[44, 9] Operation: 1+8=9
Exploring Operation: 1*8=8, Resulting Numbers: [44, 8]
Generated Node #0,2,3: 13:[44, 8] Operation: 1*8=8
Exploring Operation: 44-8=36, Resulting Numbers: [1, 36]
Generated Node #0,2,4: 13:[1, 36] Operation: 44-8=36
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 13:[8, 43], Operations: ['74-30=44', '44-1=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,13 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 13:[44, 9], Operations: ['74-30=44', '1+8=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,13 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 13:[1, 36], Operations: ['74-30=44', '44-8=36']
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 13:[44, 8], Operations: ['74-30=44', '8/1=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 13:[44, 8], Operations: ['74-30=44', '1*8=8']
Exploring Operation: 44*8=352, Resulting Numbers: [352]
352,13 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[8, 30, 73], Operations: ['74-1=73']
Exploring Operation: 73-30=43, Resulting Numbers: [8, 43]
Generated Node #0,0,0: 13:[8, 43] Operation: 73-30=43
Exploring Operation: 30-8=22, Resulting Numbers: [73, 22]
Generated Node #0,0,1: 13:[73, 22] Operation: 30-8=22
Exploring Operation: 8+73=81, Resulting Numbers: [30, 81]
Generated Node #0,0,2: 13:[30, 81] Operation: 8+73=81
Exploring Operation: 73-8=65, Resulting Numbers: [30, 65]
Generated Node #0,0,3: 13:[30, 65] Operation: 73-8=65
Exploring Operation: 8+30=38, Resulting Numbers: [73, 38]
Generated Node #0,0,4: 13:[73, 38] Operation: 8+30=38
Moving to Node #0,0,0
Current State: 13:[8, 43], Operations: ['74-1=73', '73-30=43']
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,13 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[30, 65], Operations: ['74-1=73', '73-8=65']
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,13 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[73, 22], Operations: ['74-1=73', '30-8=22']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 73*22=1606, Resulting Numbers: [1606]
1606,13 unequal: No Solution
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[30, 81], Operations: ['74-1=73', '8+73=81']
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Exploring Operation: 30*81=2430, Resulting Numbers: [2430]
2430,13 unequal: No Solution
Exploring Operation: 30+81=111, Resulting Numbers: [111]
111,13 unequal: No Solution
Moving to Node #0,0,4
Current State: 13:[73, 38], Operations: ['74-1=73', '8+30=38']
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,13 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[1, 30, 66], Operations: ['74-8=66']
Exploring Operation: 66-1=65, Resulting Numbers: [30, 65]
Generated Node #0,1,0: 13:[30, 65] Operation: 66-1=65
Exploring Operation: 66-30=36, Resulting Numbers: [1, 36]
Generated Node #0,1,1: 13:[1, 36] Operation: 66-30=36
Exploring Operation: 30-1=29, Resulting Numbers: [66, 29]
Generated Node #0,1,2: 13:[66, 29] Operation: 30-1=29
Exploring Operation: 1*30=30, Resulting Numbers: [66, 30]
Generated Node #0,1,3: 13:[66, 30] Operation: 1*30=30
Exploring Operation: 30/1=30, Resulting Numbers: [66, 30]
Generated Node #0,1,4: 13:[66, 30] Operation: 30/1=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 13:[1, 36], Operations: ['74-8=66', '66-30=36']
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 13:[30, 65], Operations: ['74-8=66', '66-1=65']
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,13 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 13:[66, 29], Operations: ['74-8=66', '30-1=29']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,13 unequal: No Solution
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 13:[66, 30], Operations: ['74-8=66', '1*30=30']
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,13 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 13:[66, 30], Operations: ['74-8=66', '30/1=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[74, 8, 29], Operations: ['30-1=29']
Exploring Operation: 8+29=37, Resulting Numbers: [74, 37]
Generated Node #0,3,0: 13:[74, 37] Operation: 8+29=37
Exploring Operation: 29-8=21, Resulting Numbers: [74, 21]
Generated Node #0,3,1: 13:[74, 21] Operation: 29-8=21
Exploring Operation: 74-29=45, Resulting Numbers: [8, 45]
Generated Node #0,3,2: 13:[8, 45] Operation: 74-29=45
Exploring Operation: 74-8=66, Resulting Numbers: [29, 66]
Generated Node #0,3,3: 13:[29, 66] Operation: 74-8=66
Exploring Operation: 74+8=82, Resulting Numbers: [29, 82]
Generated Node #0,3,4: 13:[29, 82] Operation: 74+8=82
Moving to Node #0,3,2
Current State: 13:[8, 45], Operations: ['30-1=29', '74-29=45']
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,13 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[29, 66], Operations: ['30-1=29', '74-8=66']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Exploring Operation: 29*66=1914, Resulting Numbers: [1914]
1914,13 unequal: No Solution
Moving to Node #0,3,1
Current State: 13:[74, 21], Operations: ['30-1=29', '29-8=21']
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,13 unequal: No Solution
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,13 unequal: No Solution
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[74, 37], Operations: ['30-1=29', '8+29=37']
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 74*37=2738, Resulting Numbers: [2738]
2738,13 unequal: No Solution
Exploring Operation: 74+37=111, Resulting Numbers: [111]
111,13 unequal: No Solution
Exploring Operation: 74/37=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Moving to Node #0,3,4
Current State: 13:[29, 82], Operations: ['30-1=29', '74+8=82']
Exploring Operation: 29*82=2378, Resulting Numbers: [2378]
2378,13 unequal: No Solution
Exploring Operation: 29+82=111, Resulting Numbers: [111]
111,13 unequal: No Solution
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 13:[74, 30, 9], Operations: ['1+8=9']
Exploring Operation: 30+9=39, Resulting Numbers: [74, 39]
Generated Node #0,4,0: 13:[74, 39] Operation: 30+9=39
Exploring Operation: 74+9=83, Resulting Numbers: [30, 83]
Generated Node #0,4,1: 13:[30, 83] Operation: 74+9=83
Exploring Operation: 74-9=65, Resulting Numbers: [30, 65]
Generated Node #0,4,2: 13:[30, 65] Operation: 74-9=65
Exploring Operation: 74-30=44, Resulting Numbers: [9, 44]
Generated Node #0,4,3: 13:[9, 44] Operation: 74-30=44
Exploring Operation: 30-9=21, Resulting Numbers: [74, 21]
Generated Node #0,4,4: 13:[74, 21] Operation: 30-9=21
Moving to Node #0,4,3
Current State: 13:[9, 44], Operations: ['1+8=9', '74-30=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,13 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,13 unequal: No Solution
Moving to Node #0,4,4
Current State: 13:[74, 21], Operations: ['1+8=9', '30-9=21']
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,13 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,13 unequal: No Solution
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Moving to Node #0,4,2
Current State: 13:[30, 65], Operations: ['1+8=9', '74-9=65']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,13 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,13 unequal: No Solution
Moving to Node #0,4,0
Current State: 13:[74, 39], Operations: ['1+8=9', '30+9=39']
Exploring Operation: 74-39=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 74*39=2886, Resulting Numbers: [2886]
2886,13 unequal: No Solution
Exploring Operation: 74+39=113, Resulting Numbers: [113]
113,13 unequal: No Solution
Moving to Node #0,4,1
Current State: 13:[30, 83], Operations: ['1+8=9', '74+9=83']
Exploring Operation: 30+83=113, Resulting Numbers: [113]
113,13 unequal: No Solution
Exploring Operation: 30*83=2490, Resulting Numbers: [2490]
2490,13 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
69,
26,
14,
98
] | 50 | [
"69-26=43",
"98/14=7",
"43+7=50"
] | Current State: 50:[69, 26, 14, 98], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [14, 98, 43]
Generated Node #2: [14, 98, 43] from Operation: 69-26=43
Current State: 50:[14, 98, 43], Operations: ['69-26=43']
Exploring Operation: 98/14=7, Resulting Numbers: [43, 7]
Generated Node #3: [43, 7] from Operation: 98/14=7
Current State: 50:[43, 7], Operations: ['69-26=43', '98/14=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[69, 26, 14, 98], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [69, 26, 7]
Generated Node #0,0: 50:[69, 26, 7] Operation: 98/14=7
Exploring Operation: 98-69=29, Resulting Numbers: [26, 14, 29]
Generated Node #0,1: 50:[26, 14, 29] Operation: 98-69=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[26, 14, 29], Operations: ['98-69=29']
Exploring Operation: 29-26=3, Resulting Numbers: [14, 3]
Generated Node #0,1,0: 50:[14, 3] Operation: 29-26=3
Exploring Operation: 26-14=12, Resulting Numbers: [29, 12]
Generated Node #0,1,1: 50:[29, 12] Operation: 26-14=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[14, 3], Operations: ['98-69=29', '29-26=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[29, 12], Operations: ['98-69=29', '26-14=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[69, 26, 7], Operations: ['98/14=7']
Exploring Operation: 69-26=43, Resulting Numbers: [7, 43]
Generated Node #0,0,0: 50:[7, 43] Operation: 69-26=43
Exploring Operation: 69-7=62, Resulting Numbers: [26, 62]
Generated Node #0,0,1: 50:[26, 62] Operation: 69-7=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[7, 43], Operations: ['98/14=7', '69-26=43']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[69, 26, 14, 98], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [69, 26, 7]
Generated Node #0,0: 50:[69, 26, 7] Operation: 98/14=7
Moving to Node #0,0
Current State: 50:[69, 26, 7], Operations: ['98/14=7']
Exploring Operation: 69-26=43, Resulting Numbers: [7, 43]
Generated Node #0,0,0: 50:[7, 43] Operation: 69-26=43
Moving to Node #0,0,0
Current State: 50:[7, 43], Operations: ['98/14=7', '69-26=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
38,
80,
3,
51
] | 90 | [
"80-38=42",
"51-3=48",
"42+48=90"
] | Current State: 90:[38, 80, 3, 51], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [3, 51, 42]
Generated Node #2: [3, 51, 42] from Operation: 80-38=42
Current State: 90:[3, 51, 42], Operations: ['80-38=42']
Exploring Operation: 51-3=48, Resulting Numbers: [42, 48]
Generated Node #3: [42, 48] from Operation: 51-3=48
Current State: 90:[42, 48], Operations: ['80-38=42', '51-3=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[38, 80, 3, 51], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [3, 51, 42]
Generated Node #0,0: 90:[3, 51, 42] Operation: 80-38=42
Exploring Operation: 80-51=29, Resulting Numbers: [38, 3, 29]
Generated Node #0,1: 90:[38, 3, 29] Operation: 80-51=29
Exploring Operation: 51/3=17, Resulting Numbers: [38, 80, 17]
Generated Node #0,2: 90:[38, 80, 17] Operation: 51/3=17
Exploring Operation: 51-38=13, Resulting Numbers: [80, 3, 13]
Generated Node #0,3: 90:[80, 3, 13] Operation: 51-38=13
Exploring Operation: 38+51=89, Resulting Numbers: [80, 3, 89]
Generated Node #0,4: 90:[80, 3, 89] Operation: 38+51=89
Moving to Node #0,1
Current State: 90:[38, 3, 29], Operations: ['80-51=29']
Exploring Operation: 38-3=35, Resulting Numbers: [29, 35]
Generated Node #0,1,0: 90:[29, 35] Operation: 38-3=35
Exploring Operation: 38+3=41, Resulting Numbers: [29, 41]
Generated Node #0,1,1: 90:[29, 41] Operation: 38+3=41
Exploring Operation: 3*29=87, Resulting Numbers: [38, 87]
Generated Node #0,1,2: 90:[38, 87] Operation: 3*29=87
Exploring Operation: 3+29=32, Resulting Numbers: [38, 32]
Generated Node #0,1,3: 90:[38, 32] Operation: 3+29=32
Exploring Operation: 38-29=9, Resulting Numbers: [3, 9]
Generated Node #0,1,4: 90:[3, 9] Operation: 38-29=9
Moving to Node #0,0
Current State: 90:[3, 51, 42], Operations: ['80-38=42']
Exploring Operation: 3+42=45, Resulting Numbers: [51, 45]
Generated Node #0,0,0: 90:[51, 45] Operation: 3+42=45
Exploring Operation: 51-42=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 90:[3, 9] Operation: 51-42=9
Exploring Operation: 51/3=17, Resulting Numbers: [42, 17]
Generated Node #0,0,2: 90:[42, 17] Operation: 51/3=17
Exploring Operation: 51-3=48, Resulting Numbers: [42, 48]
Generated Node #0,0,3: 90:[42, 48] Operation: 51-3=48
Exploring Operation: 51+42=93, Resulting Numbers: [3, 93]
Generated Node #0,0,4: 90:[3, 93] Operation: 51+42=93
Moving to Node #0,4
Current State: 90:[80, 3, 89], Operations: ['38+51=89']
Exploring Operation: 89-80=9, Resulting Numbers: [3, 9]
Generated Node #0,4,0: 90:[3, 9] Operation: 89-80=9
Exploring Operation: 89-3=86, Resulting Numbers: [80, 86]
Generated Node #0,4,1: 90:[80, 86] Operation: 89-3=86
Exploring Operation: 3+89=92, Resulting Numbers: [80, 92]
Generated Node #0,4,2: 90:[80, 92] Operation: 3+89=92
Exploring Operation: 80+3=83, Resulting Numbers: [89, 83]
Generated Node #0,4,3: 90:[89, 83] Operation: 80+3=83
Exploring Operation: 80-3=77, Resulting Numbers: [89, 77]
Generated Node #0,4,4: 90:[89, 77] Operation: 80-3=77
Moving to Node #0,3
Current State: 90:[80, 3, 13], Operations: ['51-38=13']
Exploring Operation: 80+3=83, Resulting Numbers: [13, 83]
Generated Node #0,3,0: 90:[13, 83] Operation: 80+3=83
Exploring Operation: 80-3=77, Resulting Numbers: [13, 77]
Generated Node #0,3,1: 90:[13, 77] Operation: 80-3=77
Exploring Operation: 80+13=93, Resulting Numbers: [3, 93]
Generated Node #0,3,2: 90:[3, 93] Operation: 80+13=93
Exploring Operation: 13-3=10, Resulting Numbers: [80, 10]
Generated Node #0,3,3: 90:[80, 10] Operation: 13-3=10
Exploring Operation: 3+13=16, Resulting Numbers: [80, 16]
Generated Node #0,3,4: 90:[80, 16] Operation: 3+13=16
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 90:[3, 93], Operations: ['51-38=13', '80+13=93']
Exploring Operation: 3*93=279, Resulting Numbers: [279]
279,90 unequal: No Solution
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,90 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,90 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[38, 80, 3, 51], Operations: []
Exploring Operation: 51-38=13, Resulting Numbers: [80, 3, 13]
Generated Node #0,3: 90:[80, 3, 13] Operation: 51-38=13
Moving to Node #0,3
Current State: 90:[80, 3, 13], Operations: ['51-38=13']
Exploring Operation: 80+13=93, Resulting Numbers: [3, 93]
Generated Node #0,3,2: 90:[3, 93] Operation: 80+13=93
Moving to Node #0,3,2
Current State: 90:[3, 93], Operations: ['51-38=13', '80+13=93']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_5 | mult_heuristic |
[
31,
20,
52,
94
] | 94 | [
"31+20=51",
"52-51=1",
"94*1=94"
] | Current State: 94:[31, 20, 52, 94], Operations: []
Exploring Operation: 31+20=51, Resulting Numbers: [52, 94, 51]
Generated Node #2: [52, 94, 51] from Operation: 31+20=51
Current State: 94:[52, 94, 51], Operations: ['31+20=51']
Exploring Operation: 52-51=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 52-51=1
Current State: 94:[94, 1], Operations: ['31+20=51', '52-51=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[31, 20, 52, 94], Operations: []
Exploring Operation: 31+52=83, Resulting Numbers: [20, 94, 83]
Generated Node #0,0: 94:[20, 94, 83] Operation: 31+52=83
Exploring Operation: 31+20=51, Resulting Numbers: [52, 94, 51]
Generated Node #0,1: 94:[52, 94, 51] Operation: 31+20=51
Exploring Operation: 31-20=11, Resulting Numbers: [52, 94, 11]
Generated Node #0,2: 94:[52, 94, 11] Operation: 31-20=11
Moving to Node #0,1
Current State: 94:[52, 94, 51], Operations: ['31+20=51']
Exploring Operation: 94-52=42, Resulting Numbers: [51, 42]
Generated Node #0,1,0: 94:[51, 42] Operation: 94-52=42
Exploring Operation: 52-51=1, Resulting Numbers: [94, 1]
Generated Node #0,1,1: 94:[94, 1] Operation: 52-51=1
Exploring Operation: 52+51=103, Resulting Numbers: [94, 103]
Generated Node #0,1,2: 94:[94, 103] Operation: 52+51=103
Moving to Node #0,2
Current State: 94:[52, 94, 11], Operations: ['31-20=11']
Exploring Operation: 94-52=42, Resulting Numbers: [11, 42]
Generated Node #0,2,0: 94:[11, 42] Operation: 94-52=42
Exploring Operation: 52-11=41, Resulting Numbers: [94, 41]
Generated Node #0,2,1: 94:[94, 41] Operation: 52-11=41
Exploring Operation: 52+11=63, Resulting Numbers: [94, 63]
Generated Node #0,2,2: 94:[94, 63] Operation: 52+11=63
Moving to Node #0,0
Current State: 94:[20, 94, 83], Operations: ['31+52=83']
Exploring Operation: 94-83=11, Resulting Numbers: [20, 11]
Generated Node #0,0,0: 94:[20, 11] Operation: 94-83=11
Exploring Operation: 83-20=63, Resulting Numbers: [94, 63]
Generated Node #0,0,1: 94:[94, 63] Operation: 83-20=63
Exploring Operation: 20+83=103, Resulting Numbers: [94, 103]
Generated Node #0,0,2: 94:[94, 103] Operation: 20+83=103
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[94, 103], Operations: ['31+52=83', '20+83=103']
Exploring Operation: 103-94=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 94*103=9682, Resulting Numbers: [9682]
9682,94 unequal: No Solution
Exploring Operation: 94+103=197, Resulting Numbers: [197]
197,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[94, 63], Operations: ['31+52=83', '83-20=63']
Exploring Operation: 94+63=157, Resulting Numbers: [157]
157,94 unequal: No Solution
Exploring Operation: 94*63=5922, Resulting Numbers: [5922]
5922,94 unequal: No Solution
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[20, 11], Operations: ['31+52=83', '94-83=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,94 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,94 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,94 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: 94:[94, 1], Operations: ['31+20=51', '52-51=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[31, 20, 52, 94], Operations: []
Exploring Operation: 31+20=51, Resulting Numbers: [52, 94, 51]
Generated Node #0,1: 94:[52, 94, 51] Operation: 31+20=51
Moving to Node #0,1
Current State: 94:[52, 94, 51], Operations: ['31+20=51']
Exploring Operation: 52-51=1, Resulting Numbers: [94, 1]
Generated Node #0,1,1: 94:[94, 1] Operation: 52-51=1
Moving to Node #0,1,1
Current State: 94:[94, 1], Operations: ['31+20=51', '52-51=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
33,
99,
67,
7
] | 65 | [
"33*7=231",
"99+67=166",
"231-166=65"
] | Current State: 65:[33, 99, 67, 7], Operations: []
Exploring Operation: 33*7=231, Resulting Numbers: [99, 67, 231]
Generated Node #2: [99, 67, 231] from Operation: 33*7=231
Current State: 65:[99, 67, 231], Operations: ['33*7=231']
Exploring Operation: 99+67=166, Resulting Numbers: [231, 166]
Generated Node #3: [231, 166] from Operation: 99+67=166
Current State: 65:[231, 166], Operations: ['33*7=231', '99+67=166']
Exploring Operation: 231-166=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[33, 99, 67, 7], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [67, 7, 3]
Generated Node #0,0: 65:[67, 7, 3] Operation: 99/33=3
Exploring Operation: 99-33=66, Resulting Numbers: [67, 7, 66]
Generated Node #0,1: 65:[67, 7, 66] Operation: 99-33=66
Moving to Node #0,1
Current State: 65:[67, 7, 66], Operations: ['99-33=66']
Exploring Operation: 67-7=60, Resulting Numbers: [66, 60]
Generated Node #0,1,0: 65:[66, 60] Operation: 67-7=60
Exploring Operation: 67-66=1, Resulting Numbers: [7, 1]
Generated Node #0,1,1: 65:[7, 1] Operation: 67-66=1
Moving to Node #0,0
Current State: 65:[67, 7, 3], Operations: ['99/33=3']
Exploring Operation: 7-3=4, Resulting Numbers: [67, 4]
Generated Node #0,0,0: 65:[67, 4] Operation: 7-3=4
Exploring Operation: 67-3=64, Resulting Numbers: [7, 64]
Generated Node #0,0,1: 65:[7, 64] Operation: 67-3=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[67, 4], Operations: ['99/33=3', '7-3=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[7, 64], Operations: ['99/33=3', '67-3=64']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 7+64=71, Resulting Numbers: [71]
71,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 65:[66, 60], Operations: ['99-33=66', '67-7=60']
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 66+60=126, Resulting Numbers: [126]
126,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[7, 1], Operations: ['99-33=66', '67-66=1']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,65 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
16,
45,
19,
15
] | 40 | [
"19-16=3",
"15/3=5",
"45-5=40"
] | Current State: 40:[16, 45, 19, 15], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [45, 15, 3]
Generated Node #2: [45, 15, 3] from Operation: 19-16=3
Current State: 40:[45, 15, 3], Operations: ['19-16=3']
Exploring Operation: 15/3=5, Resulting Numbers: [45, 5]
Generated Node #3: [45, 5] from Operation: 15/3=5
Current State: 40:[45, 5], Operations: ['19-16=3', '15/3=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[16, 45, 19, 15], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [45, 15, 3]
Generated Node #0,0: 40:[45, 15, 3] Operation: 19-16=3
Exploring Operation: 19-15=4, Resulting Numbers: [16, 45, 4]
Generated Node #0,1: 40:[16, 45, 4] Operation: 19-15=4
Exploring Operation: 16-15=1, Resulting Numbers: [45, 19, 1]
Generated Node #0,2: 40:[45, 19, 1] Operation: 16-15=1
Exploring Operation: 45-16=29, Resulting Numbers: [19, 15, 29]
Generated Node #0,3: 40:[19, 15, 29] Operation: 45-16=29
Exploring Operation: 45/15=3, Resulting Numbers: [16, 19, 3]
Generated Node #0,4: 40:[16, 19, 3] Operation: 45/15=3
Moving to Node #0,4
Current State: 40:[16, 19, 3], Operations: ['45/15=3']
Exploring Operation: 19+3=22, Resulting Numbers: [16, 22]
Generated Node #0,4,0: 40:[16, 22] Operation: 19+3=22
Exploring Operation: 19-16=3, Resulting Numbers: [3, 3]
Generated Node #0,4,1: 40:[3, 3] Operation: 19-16=3
Exploring Operation: 16+19=35, Resulting Numbers: [3, 35]
Generated Node #0,4,2: 40:[3, 35] Operation: 16+19=35
Exploring Operation: 16-3=13, Resulting Numbers: [19, 13]
Generated Node #0,4,3: 40:[19, 13] Operation: 16-3=13
Exploring Operation: 16+3=19, Resulting Numbers: [19, 19]
Generated Node #0,4,4: 40:[19, 19] Operation: 16+3=19
Moving to Node #0,2
Current State: 40:[45, 19, 1], Operations: ['16-15=1']
Exploring Operation: 19*1=19, Resulting Numbers: [45, 19]
Generated Node #0,2,0: 40:[45, 19] Operation: 19*1=19
Exploring Operation: 45*1=45, Resulting Numbers: [19, 45]
Generated Node #0,2,1: 40:[19, 45] Operation: 45*1=45
Exploring Operation: 45/1=45, Resulting Numbers: [19, 45]
Generated Node #0,2,2: 40:[19, 45] Operation: 45/1=45
Exploring Operation: 19+1=20, Resulting Numbers: [45, 20]
Generated Node #0,2,3: 40:[45, 20] Operation: 19+1=20
Exploring Operation: 45-1=44, Resulting Numbers: [19, 44]
Generated Node #0,2,4: 40:[19, 44] Operation: 45-1=44
Moving to Node #0,1
Current State: 40:[16, 45, 4], Operations: ['19-15=4']
Exploring Operation: 16+4=20, Resulting Numbers: [45, 20]
Generated Node #0,1,0: 40:[45, 20] Operation: 16+4=20
Exploring Operation: 16-4=12, Resulting Numbers: [45, 12]
Generated Node #0,1,1: 40:[45, 12] Operation: 16-4=12
Exploring Operation: 16/4=4, Resulting Numbers: [45, 4]
Generated Node #0,1,2: 40:[45, 4] Operation: 16/4=4
Exploring Operation: 45-16=29, Resulting Numbers: [4, 29]
Generated Node #0,1,3: 40:[4, 29] Operation: 45-16=29
Exploring Operation: 45-4=41, Resulting Numbers: [16, 41]
Generated Node #0,1,4: 40:[16, 41] Operation: 45-4=41
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[45, 20], Operations: ['19-15=4', '16+4=20']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,40 unequal: No Solution
Exploring Operation: 45+20=65, Resulting Numbers: [65]
65,40 unequal: No Solution
Exploring Operation: 45*20=900, Resulting Numbers: [900]
900,40 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:[45, 4], Operations: ['19-15=4', '16/4=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,40 unequal: No Solution
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,40 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 40:[16, 41], Operations: ['19-15=4', '45-4=41']
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,40 unequal: No Solution
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,40 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:[45, 12], Operations: ['19-15=4', '16-4=12']
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,40 unequal: No Solution
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,40 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 #0,1,3
Current State: 40:[4, 29], Operations: ['19-15=4', '45-16=29']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,40 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,40 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:[45, 15, 3], Operations: ['19-16=3']
Exploring Operation: 15/3=5, Resulting Numbers: [45, 5]
Generated Node #0,0,0: 40:[45, 5] Operation: 15/3=5
Exploring Operation: 15+3=18, Resulting Numbers: [45, 18]
Generated Node #0,0,1: 40:[45, 18] Operation: 15+3=18
Exploring Operation: 15-3=12, Resulting Numbers: [45, 12]
Generated Node #0,0,2: 40:[45, 12] Operation: 15-3=12
Exploring Operation: 45-3=42, Resulting Numbers: [15, 42]
Generated Node #0,0,3: 40:[15, 42] Operation: 45-3=42
Exploring Operation: 45/15=3, Resulting Numbers: [3, 3]
Generated Node #0,0,4: 40:[3, 3] Operation: 45/15=3
Moving to Node #0,3
Current State: 40:[19, 15, 29], Operations: ['45-16=29']
Exploring Operation: 29-19=10, Resulting Numbers: [15, 10]
Generated Node #0,3,0: 40:[15, 10] Operation: 29-19=10
Exploring Operation: 19+29=48, Resulting Numbers: [15, 48]
Generated Node #0,3,1: 40:[15, 48] Operation: 19+29=48
Exploring Operation: 15+29=44, Resulting Numbers: [19, 44]
Generated Node #0,3,2: 40:[19, 44] Operation: 15+29=44
Exploring Operation: 19-15=4, Resulting Numbers: [29, 4]
Generated Node #0,3,3: 40:[29, 4] Operation: 19-15=4
Exploring Operation: 29-15=14, Resulting Numbers: [19, 14]
Generated Node #0,3,4: 40:[19, 14] Operation: 29-15=14
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 40:[15, 10], Operations: ['45-16=29', '29-19=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,40 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 40:[19, 44], Operations: ['45-16=29', '15+29=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,40 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,40 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 40:[19, 14], Operations: ['45-16=29', '29-15=14']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,40 unequal: No Solution
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 40:[29, 4], Operations: ['45-16=29', '19-15=4']
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,40 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 40:[15, 48], Operations: ['45-16=29', '19+29=48']
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,40 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 40:[3, 3], Operations: ['45/15=3', '19-16=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,40 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Moving to Node #0,4,4
Current State: 40:[19, 19], Operations: ['45/15=3', '16+3=19']
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 19*19=361, Resulting Numbers: [361]
361,40 unequal: No Solution
Moving to Node #0,0,4
Current State: 40:[3, 3], Operations: ['19-16=3', '45/15=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,40 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Moving to Node #0,4,3
Current State: 40:[19, 13], Operations: ['45/15=3', '16-3=13']
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,40 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,40 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,40 unequal: No Solution
Moving to Node #0,2,4
Current State: 40:[19, 44], Operations: ['16-15=1', '45-1=44']
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,40 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,40 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[45, 20], Operations: ['16-15=1', '19+1=20']
Exploring Operation: 45*20=900, Resulting Numbers: [900]
900,40 unequal: No Solution
Exploring Operation: 45+20=65, Resulting Numbers: [65]
65,40 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[45, 5], Operations: ['19-16=3', '15/3=5']
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[16, 45, 19, 15], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [45, 15, 3]
Generated Node #0,0: 40:[45, 15, 3] Operation: 19-16=3
Moving to Node #0,0
Current State: 40:[45, 15, 3], Operations: ['19-16=3']
Exploring Operation: 15/3=5, Resulting Numbers: [45, 5]
Generated Node #0,0,0: 40:[45, 5] Operation: 15/3=5
Moving to Node #0,0,0
Current State: 40:[45, 5], Operations: ['19-16=3', '15/3=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.924479 | hs_5 | sum_heuristic |
[
17,
4,
6,
8
] | 86 | [
"17-4=13",
"6*13=78",
"8+78=86"
] | Current State: 86:[17, 4, 6, 8], Operations: []
Exploring Operation: 17-4=13, Resulting Numbers: [6, 8, 13]
Generated Node #2: [6, 8, 13] from Operation: 17-4=13
Current State: 86:[6, 8, 13], Operations: ['17-4=13']
Exploring Operation: 6*13=78, Resulting Numbers: [8, 78]
Generated Node #3: [8, 78] from Operation: 6*13=78
Current State: 86:[8, 78], Operations: ['17-4=13', '6*13=78']
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[17, 4, 6, 8], Operations: []
Exploring Operation: 17-8=9, Resulting Numbers: [4, 6, 9]
Generated Node #0,0: 86:[4, 6, 9] Operation: 17-8=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[4, 6, 9], Operations: ['17-8=9']
Exploring Operation: 9-6=3, Resulting Numbers: [4, 3]
Generated Node #0,0,0: 86:[4, 3] Operation: 9-6=3
Moving to Node #0,0,0
Current State: 86:[4, 3], Operations: ['17-8=9', '9-6=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,86 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 |
[
77,
41,
12,
88
] | 85 | [
"77-41=36",
"36/12=3",
"88-3=85"
] | Current State: 85:[77, 41, 12, 88], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [12, 88, 36]
Generated Node #2: [12, 88, 36] from Operation: 77-41=36
Current State: 85:[12, 88, 36], Operations: ['77-41=36']
Exploring Operation: 36/12=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 36/12=3
Current State: 85:[88, 3], Operations: ['77-41=36', '36/12=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[77, 41, 12, 88], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [12, 88, 36]
Generated Node #0,0: 85:[12, 88, 36] Operation: 77-41=36
Exploring Operation: 41-12=29, Resulting Numbers: [77, 88, 29]
Generated Node #0,1: 85:[77, 88, 29] Operation: 41-12=29
Exploring Operation: 77+12=89, Resulting Numbers: [41, 88, 89]
Generated Node #0,2: 85:[41, 88, 89] Operation: 77+12=89
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[77, 88, 29], Operations: ['41-12=29']
Exploring Operation: 77+29=106, Resulting Numbers: [88, 106]
Generated Node #0,1,0: 85:[88, 106] Operation: 77+29=106
Exploring Operation: 88-77=11, Resulting Numbers: [29, 11]
Generated Node #0,1,1: 85:[29, 11] Operation: 88-77=11
Exploring Operation: 77-29=48, Resulting Numbers: [88, 48]
Generated Node #0,1,2: 85:[88, 48] Operation: 77-29=48
Moving to Node #0,1,1
Current State: 85:[29, 11], Operations: ['41-12=29', '88-77=11']
Exploring Operation: 29*11=319, Resulting Numbers: [319]
319,85 unequal: No Solution
Exploring Operation: 29+11=40, Resulting Numbers: [40]
40,85 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[88, 106], Operations: ['41-12=29', '77+29=106']
Exploring Operation: 88+106=194, Resulting Numbers: [194]
194,85 unequal: No Solution
Exploring Operation: 106-88=18, Resulting Numbers: [18]
18,85 unequal: No Solution
Exploring Operation: 88*106=9328, Resulting Numbers: [9328]
9328,85 unequal: No Solution
Moving to Node #0,1,2
Current State: 85:[88, 48], Operations: ['41-12=29', '77-29=48']
Exploring Operation: 88+48=136, Resulting Numbers: [136]
136,85 unequal: No Solution
Exploring Operation: 88-48=40, Resulting Numbers: [40]
40,85 unequal: No Solution
Exploring Operation: 88*48=4224, Resulting Numbers: [4224]
4224,85 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
Current State: 85:[12, 88, 36], Operations: ['77-41=36']
Exploring Operation: 88-12=76, Resulting Numbers: [36, 76]
Generated Node #0,0,0: 85:[36, 76] Operation: 88-12=76
Exploring Operation: 36/12=3, Resulting Numbers: [88, 3]
Generated Node #0,0,1: 85:[88, 3] Operation: 36/12=3
Exploring Operation: 36-12=24, Resulting Numbers: [88, 24]
Generated Node #0,0,2: 85:[88, 24] Operation: 36-12=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[88, 3], Operations: ['77-41=36', '36/12=3']
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,85 unequal: No Solution
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[77, 41, 12, 88], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [12, 88, 36]
Generated Node #0,0: 85:[12, 88, 36] Operation: 77-41=36
Moving to Node #0,0
Current State: 85:[12, 88, 36], Operations: ['77-41=36']
Exploring Operation: 36/12=3, Resulting Numbers: [88, 3]
Generated Node #0,0,1: 85:[88, 3] Operation: 36/12=3
Moving to Node #0,0,1
Current State: 85:[88, 3], Operations: ['77-41=36', '36/12=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
14,
30,
21,
96
] | 84 | [
"30+96=126",
"14*126=1764",
"1764/21=84"
] | Current State: 84:[14, 30, 21, 96], Operations: []
Exploring Operation: 30+96=126, Resulting Numbers: [14, 21, 126]
Generated Node #2: [14, 21, 126] from Operation: 30+96=126
Current State: 84:[14, 21, 126], Operations: ['30+96=126']
Exploring Operation: 14*126=1764, Resulting Numbers: [21, 1764]
Generated Node #3: [21, 1764] from Operation: 14*126=1764
Current State: 84:[21, 1764], Operations: ['30+96=126', '14*126=1764']
Exploring Operation: 1764/21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[14, 30, 21, 96], Operations: []
Exploring Operation: 96-14=82, Resulting Numbers: [30, 21, 82]
Generated Node #0,0: 84:[30, 21, 82] Operation: 96-14=82
Exploring Operation: 96-21=75, Resulting Numbers: [14, 30, 75]
Generated Node #0,1: 84:[14, 30, 75] Operation: 96-21=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[30, 21, 82], Operations: ['96-14=82']
Exploring Operation: 82-30=52, Resulting Numbers: [21, 52]
Generated Node #0,0,0: 84:[21, 52] Operation: 82-30=52
Exploring Operation: 30-21=9, Resulting Numbers: [82, 9]
Generated Node #0,0,1: 84:[82, 9] Operation: 30-21=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[82, 9], Operations: ['96-14=82', '30-21=9']
Exploring Operation: 82+9=91, Resulting Numbers: [91]
91,84 unequal: No Solution
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,84 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:[21, 52], Operations: ['96-14=82', '82-30=52']
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 21+52=73, Resulting Numbers: [73]
73,84 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 #0,1
Current State: 84:[14, 30, 75], Operations: ['96-21=75']
Exploring Operation: 75-30=45, Resulting Numbers: [14, 45]
Generated Node #0,1,0: 84:[14, 45] Operation: 75-30=45
Exploring Operation: 14+75=89, Resulting Numbers: [30, 89]
Generated Node #0,1,1: 84:[30, 89] Operation: 14+75=89
Moving to Node #0,1,0
Current State: 84:[14, 45], Operations: ['96-21=75', '75-30=45']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[30, 89], Operations: ['96-21=75', '14+75=89']
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 30+89=119, Resulting Numbers: [119]
119,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
18,
10,
50
] | 81 | [
"3+18=21",
"10+50=60",
"21+60=81"
] | Current State: 81:[3, 18, 10, 50], Operations: []
Exploring Operation: 3+18=21, Resulting Numbers: [10, 50, 21]
Generated Node #2: [10, 50, 21] from Operation: 3+18=21
Current State: 81:[10, 50, 21], Operations: ['3+18=21']
Exploring Operation: 10+50=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 10+50=60
Current State: 81:[21, 60], Operations: ['3+18=21', '10+50=60']
Exploring Operation: 21+60=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[3, 18, 10, 50], Operations: []
Exploring Operation: 50-18=32, Resulting Numbers: [3, 10, 32]
Generated Node #0,0: 81:[3, 10, 32] Operation: 50-18=32
Exploring Operation: 50/10=5, Resulting Numbers: [3, 18, 5]
Generated Node #0,1: 81:[3, 18, 5] Operation: 50/10=5
Exploring Operation: 18+50=68, Resulting Numbers: [3, 10, 68]
Generated Node #0,2: 81:[3, 10, 68] Operation: 18+50=68
Moving to Node #0,0
Current State: 81:[3, 10, 32], Operations: ['50-18=32']
Exploring Operation: 32-3=29, Resulting Numbers: [10, 29]
Generated Node #0,0,0: 81:[10, 29] Operation: 32-3=29
Exploring Operation: 32-10=22, Resulting Numbers: [3, 22]
Generated Node #0,0,1: 81:[3, 22] Operation: 32-10=22
Exploring Operation: 10-3=7, Resulting Numbers: [32, 7]
Generated Node #0,0,2: 81:[32, 7] Operation: 10-3=7
Moving to Node #0,1
Current State: 81:[3, 18, 5], Operations: ['50/10=5']
Exploring Operation: 18+5=23, Resulting Numbers: [3, 23]
Generated Node #0,1,0: 81:[3, 23] Operation: 18+5=23
Exploring Operation: 18/3=6, Resulting Numbers: [5, 6]
Generated Node #0,1,1: 81:[5, 6] Operation: 18/3=6
Exploring Operation: 18-5=13, Resulting Numbers: [3, 13]
Generated Node #0,1,2: 81:[3, 13] Operation: 18-5=13
Moving to Node #0,2
Current State: 81:[3, 10, 68], Operations: ['18+50=68']
Exploring Operation: 3+68=71, Resulting Numbers: [10, 71]
Generated Node #0,2,0: 81:[10, 71] Operation: 3+68=71
Exploring Operation: 10+68=78, Resulting Numbers: [3, 78]
Generated Node #0,2,1: 81:[3, 78] Operation: 10+68=78
Exploring Operation: 10-3=7, Resulting Numbers: [68, 7]
Generated Node #0,2,2: 81:[68, 7] Operation: 10-3=7
Moving to Node #0,0,0
Current State: 81:[10, 29], Operations: ['50-18=32', '32-3=29']
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,81 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[3, 78], Operations: ['18+50=68', '10+68=78']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[3, 18, 10, 50], Operations: []
Exploring Operation: 18+50=68, Resulting Numbers: [3, 10, 68]
Generated Node #0,2: 81:[3, 10, 68] Operation: 18+50=68
Moving to Node #0,2
Current State: 81:[3, 10, 68], Operations: ['18+50=68']
Exploring Operation: 10+68=78, Resulting Numbers: [3, 78]
Generated Node #0,2,1: 81:[3, 78] Operation: 10+68=78
Moving to Node #0,2,1
Current State: 81:[3, 78], Operations: ['18+50=68', '10+68=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.981771 | hs_3 | sum_heuristic |
[
64,
32,
86,
48
] | 62 | [
"64/32=2",
"48/2=24",
"86-24=62"
] | Current State: 62:[64, 32, 86, 48], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [86, 48, 2]
Generated Node #2: [86, 48, 2] from Operation: 64/32=2
Current State: 62:[86, 48, 2], Operations: ['64/32=2']
Exploring Operation: 48/2=24, Resulting Numbers: [86, 24]
Generated Node #3: [86, 24] from Operation: 48/2=24
Current State: 62:[86, 24], Operations: ['64/32=2', '48/2=24']
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[64, 32, 86, 48], Operations: []
Exploring Operation: 86-48=38, Resulting Numbers: [64, 32, 38]
Generated Node #0,0: 62:[64, 32, 38] Operation: 86-48=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[64, 32, 38], Operations: ['86-48=38']
Exploring Operation: 64-38=26, Resulting Numbers: [32, 26]
Generated Node #0,0,0: 62:[32, 26] Operation: 64-38=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[32, 26], Operations: ['86-48=38', '64-38=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
80,
70,
18
] | 77 | [
"70-16=54",
"54/18=3",
"80-3=77"
] | Current State: 77:[16, 80, 70, 18], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [80, 18, 54]
Generated Node #2: [80, 18, 54] from Operation: 70-16=54
Current State: 77:[80, 18, 54], Operations: ['70-16=54']
Exploring Operation: 54/18=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 54/18=3
Current State: 77:[80, 3], Operations: ['70-16=54', '54/18=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[16, 80, 70, 18], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [16, 18, 10]
Generated Node #0,0: 77:[16, 18, 10] Operation: 80-70=10
Moving to Node #0,0
Current State: 77:[16, 18, 10], Operations: ['80-70=10']
Exploring Operation: 18-16=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 77:[10, 2] Operation: 18-16=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[10, 2], Operations: ['80-70=10', '18-16=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,77 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 |
[
7,
6,
10,
78
] | 39 | [
"10-7=3",
"78/6=13",
"3*13=39"
] | Current State: 39:[7, 6, 10, 78], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [6, 78, 3]
Generated Node #2: [6, 78, 3] from Operation: 10-7=3
Current State: 39:[6, 78, 3], Operations: ['10-7=3']
Exploring Operation: 78/6=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 78/6=13
Current State: 39:[3, 13], Operations: ['10-7=3', '78/6=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[7, 6, 10, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [7, 10, 13]
Generated Node #0,0: 39:[7, 10, 13] Operation: 78/6=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[7, 10, 13], Operations: ['78/6=13']
Exploring Operation: 10-7=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 39:[13, 3] Operation: 10-7=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[13, 3], Operations: ['78/6=13', '10-7=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[7, 6, 10, 78], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [7, 10, 13]
Generated Node #0,0: 39:[7, 10, 13] Operation: 78/6=13
Moving to Node #0,0
Current State: 39:[7, 10, 13], Operations: ['78/6=13']
Exploring Operation: 10-7=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 39:[13, 3] Operation: 10-7=3
Moving to Node #0,0,0
Current State: 39:[13, 3], Operations: ['78/6=13', '10-7=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
50,
42,
52,
30
] | 47 | [
"52-42=10",
"30/10=3",
"50-3=47"
] | Current State: 47:[50, 42, 52, 30], Operations: []
Exploring Operation: 52-42=10, Resulting Numbers: [50, 30, 10]
Generated Node #2: [50, 30, 10] from Operation: 52-42=10
Current State: 47:[50, 30, 10], Operations: ['52-42=10']
Exploring Operation: 30/10=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 30/10=3
Current State: 47:[50, 3], Operations: ['52-42=10', '30/10=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[50, 42, 52, 30], Operations: []
Exploring Operation: 42+30=72, Resulting Numbers: [50, 52, 72]
Generated Node #0,0: 47:[50, 52, 72] Operation: 42+30=72
Exploring Operation: 52-30=22, Resulting Numbers: [50, 42, 22]
Generated Node #0,1: 47:[50, 42, 22] Operation: 52-30=22
Exploring Operation: 50-30=20, Resulting Numbers: [42, 52, 20]
Generated Node #0,2: 47:[42, 52, 20] Operation: 50-30=20
Moving to Node #0,0
Current State: 47:[50, 52, 72], Operations: ['42+30=72']
Exploring Operation: 72-52=20, Resulting Numbers: [50, 20]
Generated Node #0,0,0: 47:[50, 20] Operation: 72-52=20
Exploring Operation: 52-50=2, Resulting Numbers: [72, 2]
Generated Node #0,0,1: 47:[72, 2] Operation: 52-50=2
Exploring Operation: 72-50=22, Resulting Numbers: [52, 22]
Generated Node #0,0,2: 47:[52, 22] Operation: 72-50=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[50, 20], Operations: ['42+30=72', '72-52=20']
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,47 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[52, 22], Operations: ['42+30=72', '72-50=22']
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,47 unequal: No Solution
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[72, 2], Operations: ['42+30=72', '52-50=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,47 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,47 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: 47:[50, 42, 22], Operations: ['52-30=22']
Exploring Operation: 50+22=72, Resulting Numbers: [42, 72]
Generated Node #0,1,0: 47:[42, 72] Operation: 50+22=72
Exploring Operation: 42+22=64, Resulting Numbers: [50, 64]
Generated Node #0,1,1: 47:[50, 64] Operation: 42+22=64
Exploring Operation: 50-22=28, Resulting Numbers: [42, 28]
Generated Node #0,1,2: 47:[42, 28] Operation: 50-22=28
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[50, 64], Operations: ['52-30=22', '42+22=64']
Exploring Operation: 50*64=3200, Resulting Numbers: [3200]
3200,47 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 50+64=114, Resulting Numbers: [114]
114,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[42, 28], Operations: ['52-30=22', '50-22=28']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[42, 72], Operations: ['52-30=22', '50+22=72']
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,47 unequal: No Solution
Exploring Operation: 42*72=3024, Resulting Numbers: [3024]
3024,47 unequal: No Solution
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,47 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: 47:[42, 52, 20], Operations: ['50-30=20']
Exploring Operation: 42+20=62, Resulting Numbers: [52, 62]
Generated Node #0,2,0: 47:[52, 62] Operation: 42+20=62
Exploring Operation: 52-20=32, Resulting Numbers: [42, 32]
Generated Node #0,2,1: 47:[42, 32] Operation: 52-20=32
Exploring Operation: 42-20=22, Resulting Numbers: [52, 22]
Generated Node #0,2,2: 47:[52, 22] Operation: 42-20=22
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[52, 62], Operations: ['50-30=20', '42+20=62']
Exploring Operation: 52*62=3224, Resulting Numbers: [3224]
3224,47 unequal: No Solution
Exploring Operation: 52+62=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[42, 32], Operations: ['50-30=20', '52-20=32']
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[52, 22], Operations: ['50-30=20', '42-20=22']
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,47 unequal: No Solution
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,47 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,47 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 |
[
71,
75,
5,
11
] | 49 | [
"75-71=4",
"11*4=44",
"5+44=49"
] | Current State: 49:[71, 75, 5, 11], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [5, 11, 4]
Generated Node #2: [5, 11, 4] from Operation: 75-71=4
Current State: 49:[5, 11, 4], Operations: ['75-71=4']
Exploring Operation: 11*4=44, Resulting Numbers: [5, 44]
Generated Node #3: [5, 44] from Operation: 11*4=44
Current State: 49:[5, 44], Operations: ['75-71=4', '11*4=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[71, 75, 5, 11], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [5, 11, 4]
Generated Node #0,0: 49:[5, 11, 4] Operation: 75-71=4
Exploring Operation: 71-11=60, Resulting Numbers: [75, 5, 60]
Generated Node #0,1: 49:[75, 5, 60] Operation: 71-11=60
Exploring Operation: 75/5=15, Resulting Numbers: [71, 11, 15]
Generated Node #0,2: 49:[71, 11, 15] Operation: 75/5=15
Moving to Node #0,0
Current State: 49:[5, 11, 4], Operations: ['75-71=4']
Exploring Operation: 5+4=9, Resulting Numbers: [11, 9]
Generated Node #0,0,0: 49:[11, 9] Operation: 5+4=9
Exploring Operation: 11-5=6, Resulting Numbers: [4, 6]
Generated Node #0,0,1: 49:[4, 6] Operation: 11-5=6
Exploring Operation: 11-4=7, Resulting Numbers: [5, 7]
Generated Node #0,0,2: 49:[5, 7] Operation: 11-4=7
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[5, 7], Operations: ['75-71=4', '11-4=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[4, 6], Operations: ['75-71=4', '11-5=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[11, 9], Operations: ['75-71=4', '5+4=9']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,49 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: 49:[71, 11, 15], Operations: ['75/5=15']
Exploring Operation: 71-15=56, Resulting Numbers: [11, 56]
Generated Node #0,2,0: 49:[11, 56] Operation: 71-15=56
Exploring Operation: 71-11=60, Resulting Numbers: [15, 60]
Generated Node #0,2,1: 49:[15, 60] Operation: 71-11=60
Exploring Operation: 15-11=4, Resulting Numbers: [71, 4]
Generated Node #0,2,2: 49:[71, 4] Operation: 15-11=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[11, 56], Operations: ['75/5=15', '71-15=56']
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,49 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[15, 60], Operations: ['75/5=15', '71-11=60']
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 15+60=75, Resulting Numbers: [75]
75,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[71, 4], Operations: ['75/5=15', '15-11=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,49 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: 49:[75, 5, 60], Operations: ['71-11=60']
Exploring Operation: 60/5=12, Resulting Numbers: [75, 12]
Generated Node #0,1,0: 49:[75, 12] Operation: 60/5=12
Exploring Operation: 75/5=15, Resulting Numbers: [60, 15]
Generated Node #0,1,1: 49:[60, 15] Operation: 75/5=15
Exploring Operation: 75-60=15, Resulting Numbers: [5, 15]
Generated Node #0,1,2: 49:[5, 15] Operation: 75-60=15
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 49:[5, 15], Operations: ['71-11=60', '75-60=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[60, 15], Operations: ['71-11=60', '75/5=15']
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 60+15=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[75, 12], Operations: ['71-11=60', '60/5=12']
Exploring Operation: 75*12=900, Resulting Numbers: [900]
900,49 unequal: No Solution
Exploring Operation: 75+12=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,49 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 |
[
66,
90,
24,
37
] | 36 | [
"90-66=24",
"24/24=1",
"37-1=36"
] | Current State: 36:[66, 90, 24, 37], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [24, 37, 24]
Generated Node #2: [24, 37, 24] from Operation: 90-66=24
Current State: 36:[24, 37, 24], Operations: ['90-66=24']
Exploring Operation: 24/24=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 24/24=1
Current State: 36:[37, 1], Operations: ['90-66=24', '24/24=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[66, 90, 24, 37], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [66, 24, 53]
Generated Node #0,0: 36:[66, 24, 53] Operation: 90-37=53
Exploring Operation: 66-24=42, Resulting Numbers: [90, 37, 42]
Generated Node #0,1: 36:[90, 37, 42] Operation: 66-24=42
Exploring Operation: 90-66=24, Resulting Numbers: [24, 37, 24]
Generated Node #0,2: 36:[24, 37, 24] Operation: 90-66=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[24, 37, 24], Operations: ['90-66=24']
Exploring Operation: 24/24=1, Resulting Numbers: [37, 1]
Generated Node #0,2,0: 36:[37, 1] Operation: 24/24=1
Exploring Operation: 24-24=0, Resulting Numbers: [37, 0]
Generated Node #0,2,1: 36:[37, 0] Operation: 24-24=0
Exploring Operation: 37-24=13, Resulting Numbers: [24, 13]
Generated Node #0,2,2: 36:[24, 13] Operation: 37-24=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 36:[37, 1], Operations: ['90-66=24', '24/24=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[66, 90, 24, 37], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [24, 37, 24]
Generated Node #0,2: 36:[24, 37, 24] Operation: 90-66=24
Moving to Node #0,2
Current State: 36:[24, 37, 24], Operations: ['90-66=24']
Exploring Operation: 24/24=1, Resulting Numbers: [37, 1]
Generated Node #0,2,0: 36:[37, 1] Operation: 24/24=1
Moving to Node #0,2,0
Current State: 36:[37, 1], Operations: ['90-66=24', '24/24=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
67,
30,
23,
74
] | 71 | [
"67+23=90",
"90/30=3",
"74-3=71"
] | Current State: 71:[67, 30, 23, 74], Operations: []
Exploring Operation: 67+23=90, Resulting Numbers: [30, 74, 90]
Generated Node #2: [30, 74, 90] from Operation: 67+23=90
Current State: 71:[30, 74, 90], Operations: ['67+23=90']
Exploring Operation: 90/30=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 90/30=3
Current State: 71:[74, 3], Operations: ['67+23=90', '90/30=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[67, 30, 23, 74], Operations: []
Exploring Operation: 30+23=53, Resulting Numbers: [67, 74, 53]
Generated Node #0,0: 71:[67, 74, 53] Operation: 30+23=53
Exploring Operation: 74-23=51, Resulting Numbers: [67, 30, 51]
Generated Node #0,1: 71:[67, 30, 51] Operation: 74-23=51
Exploring Operation: 67+23=90, Resulting Numbers: [30, 74, 90]
Generated Node #0,2: 71:[30, 74, 90] Operation: 67+23=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[67, 74, 53], Operations: ['30+23=53']
Exploring Operation: 67+53=120, Resulting Numbers: [74, 120]
Generated Node #0,0,0: 71:[74, 120] Operation: 67+53=120
Exploring Operation: 67-53=14, Resulting Numbers: [74, 14]
Generated Node #0,0,1: 71:[74, 14] Operation: 67-53=14
Exploring Operation: 74-53=21, Resulting Numbers: [67, 21]
Generated Node #0,0,2: 71:[67, 21] Operation: 74-53=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[74, 120], Operations: ['30+23=53', '67+53=120']
Exploring Operation: 120-74=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 74+120=194, Resulting Numbers: [194]
194,71 unequal: No Solution
Exploring Operation: 74*120=8880, Resulting Numbers: [8880]
8880,71 unequal: No Solution
No 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: 71:[67, 21], Operations: ['30+23=53', '74-53=21']
Exploring Operation: 67*21=1407, Resulting Numbers: [1407]
1407,71 unequal: No Solution
Exploring Operation: 67+21=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,71 unequal: No Solution
No 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: 71:[74, 14], Operations: ['30+23=53', '67-53=14']
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 74*14=1036, Resulting Numbers: [1036]
1036,71 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,71 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: 71:[30, 74, 90], Operations: ['67+23=90']
Exploring Operation: 74-30=44, Resulting Numbers: [90, 44]
Generated Node #0,2,0: 71:[90, 44] Operation: 74-30=44
Exploring Operation: 30+74=104, Resulting Numbers: [90, 104]
Generated Node #0,2,1: 71:[90, 104] Operation: 30+74=104
Exploring Operation: 90-30=60, Resulting Numbers: [74, 60]
Generated Node #0,2,2: 71:[74, 60] Operation: 90-30=60
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[74, 60], Operations: ['67+23=90', '90-30=60']
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,71 unequal: No Solution
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,71 unequal: No Solution
No 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: 71:[90, 44], Operations: ['67+23=90', '74-30=44']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 90*44=3960, Resulting Numbers: [3960]
3960,71 unequal: No Solution
Exploring Operation: 90+44=134, Resulting Numbers: [134]
134,71 unequal: No Solution
No 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: 71:[90, 104], Operations: ['67+23=90', '30+74=104']
Exploring Operation: 90*104=9360, Resulting Numbers: [9360]
9360,71 unequal: No Solution
Exploring Operation: 104-90=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 90+104=194, Resulting Numbers: [194]
194,71 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: 71:[67, 30, 51], Operations: ['74-23=51']
Exploring Operation: 30+51=81, Resulting Numbers: [67, 81]
Generated Node #0,1,0: 71:[67, 81] Operation: 30+51=81
Exploring Operation: 67+30=97, Resulting Numbers: [51, 97]
Generated Node #0,1,1: 71:[51, 97] Operation: 67+30=97
Exploring Operation: 67-30=37, Resulting Numbers: [51, 37]
Generated Node #0,1,2: 71:[51, 37] Operation: 67-30=37
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[67, 81], Operations: ['74-23=51', '30+51=81']
Exploring Operation: 81-67=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 67+81=148, Resulting Numbers: [148]
148,71 unequal: No Solution
Exploring Operation: 67*81=5427, Resulting Numbers: [5427]
5427,71 unequal: No Solution
No 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: 71:[51, 97], Operations: ['74-23=51', '67+30=97']
Exploring Operation: 51*97=4947, Resulting Numbers: [4947]
4947,71 unequal: No Solution
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 51+97=148, Resulting Numbers: [148]
148,71 unequal: No Solution
No 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: 71:[51, 37], Operations: ['74-23=51', '67-30=37']
Exploring Operation: 51*37=1887, Resulting Numbers: [1887]
1887,71 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 51+37=88, Resulting Numbers: [88]
88,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
80,
10,
81,
18
] | 29 | [
"80-10=70",
"81+18=99",
"99-70=29"
] | Current State: 29:[80, 10, 81, 18], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [81, 18, 70]
Generated Node #2: [81, 18, 70] from Operation: 80-10=70
Current State: 29:[81, 18, 70], Operations: ['80-10=70']
Exploring Operation: 81+18=99, Resulting Numbers: [70, 99]
Generated Node #3: [70, 99] from Operation: 81+18=99
Current State: 29:[70, 99], Operations: ['80-10=70', '81+18=99']
Exploring Operation: 99-70=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[80, 10, 81, 18], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [10, 18, 1]
Generated Node #0,0: 29:[10, 18, 1] Operation: 81-80=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[10, 18, 1], Operations: ['81-80=1']
Exploring Operation: 10+18=28, Resulting Numbers: [1, 28]
Generated Node #0,0,0: 29:[1, 28] Operation: 10+18=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[1, 28], Operations: ['81-80=1', '10+18=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[80, 10, 81, 18], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [10, 18, 1]
Generated Node #0,0: 29:[10, 18, 1] Operation: 81-80=1
Moving to Node #0,0
Current State: 29:[10, 18, 1], Operations: ['81-80=1']
Exploring Operation: 10+18=28, Resulting Numbers: [1, 28]
Generated Node #0,0,0: 29:[1, 28] Operation: 10+18=28
Moving to Node #0,0,0
Current State: 29:[1, 28], Operations: ['81-80=1', '10+18=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
8,
3,
27,
56
] | 72 | [
"8+3=11",
"27+56=83",
"83-11=72"
] | Current State: 72:[8, 3, 27, 56], Operations: []
Exploring Operation: 8+3=11, Resulting Numbers: [27, 56, 11]
Generated Node #2: [27, 56, 11] from Operation: 8+3=11
Current State: 72:[27, 56, 11], Operations: ['8+3=11']
Exploring Operation: 27+56=83, Resulting Numbers: [11, 83]
Generated Node #3: [11, 83] from Operation: 27+56=83
Current State: 72:[11, 83], Operations: ['8+3=11', '27+56=83']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[8, 3, 27, 56], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [3, 27, 7]
Generated Node #0,0: 72:[3, 27, 7] Operation: 56/8=7
Moving to Node #0,0
Current State: 72:[3, 27, 7], Operations: ['56/8=7']
Exploring Operation: 27-3=24, Resulting Numbers: [7, 24]
Generated Node #0,0,0: 72:[7, 24] Operation: 27-3=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[7, 24], Operations: ['56/8=7', '27-3=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,72 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 |
[
40,
85,
38,
76
] | 83 | [
"85-40=45",
"76-38=38",
"45+38=83"
] | Current State: 83:[40, 85, 38, 76], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [38, 76, 45]
Generated Node #2: [38, 76, 45] from Operation: 85-40=45
Current State: 83:[38, 76, 45], Operations: ['85-40=45']
Exploring Operation: 76-38=38, Resulting Numbers: [45, 38]
Generated Node #3: [45, 38] from Operation: 76-38=38
Current State: 83:[45, 38], Operations: ['85-40=45', '76-38=38']
Exploring Operation: 45+38=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[40, 85, 38, 76], Operations: []
Exploring Operation: 40+76=116, Resulting Numbers: [85, 38, 116]
Generated Node #0,0: 83:[85, 38, 116] Operation: 40+76=116
Exploring Operation: 38+76=114, Resulting Numbers: [40, 85, 114]
Generated Node #0,1: 83:[40, 85, 114] Operation: 38+76=114
Exploring Operation: 85-38=47, Resulting Numbers: [40, 76, 47]
Generated Node #0,2: 83:[40, 76, 47] Operation: 85-38=47
Exploring Operation: 40+38=78, Resulting Numbers: [85, 76, 78]
Generated Node #0,3: 83:[85, 76, 78] Operation: 40+38=78
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[85, 76, 78], Operations: ['40+38=78']
Exploring Operation: 85+76=161, Resulting Numbers: [78, 161]
Generated Node #0,3,0: 83:[78, 161] Operation: 85+76=161
Exploring Operation: 76+78=154, Resulting Numbers: [85, 154]
Generated Node #0,3,1: 83:[85, 154] Operation: 76+78=154
Exploring Operation: 85-78=7, Resulting Numbers: [76, 7]
Generated Node #0,3,2: 83:[76, 7] Operation: 85-78=7
Exploring Operation: 85-76=9, Resulting Numbers: [78, 9]
Generated Node #0,3,3: 83:[78, 9] Operation: 85-76=9
Moving to Node #0,3,1
Current State: 83:[85, 154], Operations: ['40+38=78', '76+78=154']
Exploring Operation: 85*154=13090, Resulting Numbers: [13090]
13090,83 unequal: No Solution
Exploring Operation: 85+154=239, Resulting Numbers: [239]
239,83 unequal: No Solution
Exploring Operation: 154-85=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[78, 9], Operations: ['40+38=78', '85-76=9']
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 78*9=702, Resulting Numbers: [702]
702,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[76, 7], Operations: ['40+38=78', '85-78=7']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,83 unequal: No Solution
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,83 unequal: No Solution
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[40, 85, 38, 76], Operations: []
Exploring Operation: 40+38=78, Resulting Numbers: [85, 76, 78]
Generated Node #0,3: 83:[85, 76, 78] Operation: 40+38=78
Moving to Node #0,3
Current State: 83:[85, 76, 78], Operations: ['40+38=78']
Exploring Operation: 85-78=7, Resulting Numbers: [76, 7]
Generated Node #0,3,2: 83:[76, 7] Operation: 85-78=7
Moving to Node #0,3,2
Current State: 83:[76, 7], Operations: ['40+38=78', '85-78=7']
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
62,
52,
5,
1
] | 15 | [
"62-52=10",
"5*1=5",
"10+5=15"
] | Current State: 15:[62, 52, 5, 1], Operations: []
Exploring Operation: 62-52=10, Resulting Numbers: [5, 1, 10]
Generated Node #2: [5, 1, 10] from Operation: 62-52=10
Current State: 15:[5, 1, 10], Operations: ['62-52=10']
Exploring Operation: 5*1=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 5*1=5
Current State: 15:[10, 5], Operations: ['62-52=10', '5*1=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[62, 52, 5, 1], Operations: []
Exploring Operation: 62-1=61, Resulting Numbers: [52, 5, 61]
Generated Node #0,0: 15:[52, 5, 61] Operation: 62-1=61
Exploring Operation: 62-52=10, Resulting Numbers: [5, 1, 10]
Generated Node #0,1: 15:[5, 1, 10] Operation: 62-52=10
Exploring Operation: 52-5=47, Resulting Numbers: [62, 1, 47]
Generated Node #0,2: 15:[62, 1, 47] Operation: 52-5=47
Exploring Operation: 62-5=57, Resulting Numbers: [52, 1, 57]
Generated Node #0,3: 15:[52, 1, 57] Operation: 62-5=57
Moving to Node #0,1
Current State: 15:[5, 1, 10], Operations: ['62-52=10']
Exploring Operation: 10/5=2, Resulting Numbers: [1, 2]
Generated Node #0,1,0: 15:[1, 2] Operation: 10/5=2
Exploring Operation: 5+10=15, Resulting Numbers: [1, 15]
Generated Node #0,1,1: 15:[1, 15] Operation: 5+10=15
Exploring Operation: 10-5=5, Resulting Numbers: [1, 5]
Generated Node #0,1,2: 15:[1, 5] Operation: 10-5=5
Exploring Operation: 1+10=11, Resulting Numbers: [5, 11]
Generated Node #0,1,3: 15:[5, 11] Operation: 1+10=11
Moving to Node #0,3
Current State: 15:[52, 1, 57], Operations: ['62-5=57']
Exploring Operation: 57-52=5, Resulting Numbers: [1, 5]
Generated Node #0,3,0: 15:[1, 5] Operation: 57-52=5
Exploring Operation: 57-1=56, Resulting Numbers: [52, 56]
Generated Node #0,3,1: 15:[52, 56] Operation: 57-1=56
Exploring Operation: 52-1=51, Resulting Numbers: [57, 51]
Generated Node #0,3,2: 15:[57, 51] Operation: 52-1=51
Exploring Operation: 52*1=52, Resulting Numbers: [57, 52]
Generated Node #0,3,3: 15:[57, 52] Operation: 52*1=52
Moving to Node #0,2
Current State: 15:[62, 1, 47], Operations: ['52-5=47']
Exploring Operation: 62-47=15, Resulting Numbers: [1, 15]
Generated Node #0,2,0: 15:[1, 15] Operation: 62-47=15
Exploring Operation: 47-1=46, Resulting Numbers: [62, 46]
Generated Node #0,2,1: 15:[62, 46] Operation: 47-1=46
Exploring Operation: 62-1=61, Resulting Numbers: [47, 61]
Generated Node #0,2,2: 15:[47, 61] Operation: 62-1=61
Exploring Operation: 62*1=62, Resulting Numbers: [47, 62]
Generated Node #0,2,3: 15:[47, 62] Operation: 62*1=62
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[1, 15], Operations: ['52-5=47', '62-47=15']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[62, 52, 5, 1], Operations: []
Exploring Operation: 52-5=47, Resulting Numbers: [62, 1, 47]
Generated Node #0,2: 15:[62, 1, 47] Operation: 52-5=47
Moving to Node #0,2
Current State: 15:[62, 1, 47], Operations: ['52-5=47']
Exploring Operation: 62-47=15, Resulting Numbers: [1, 15]
Generated Node #0,2,0: 15:[1, 15] Operation: 62-47=15
Moving to Node #0,2,0
Current State: 15:[1, 15], Operations: ['52-5=47', '62-47=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
24,
20,
98,
24
] | 78 | [
"24+20=44",
"98+24=122",
"122-44=78"
] | Current State: 78:[24, 20, 98, 24], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [98, 44]
Generated Node #2: [98, 44] from Operation: 24+20=44
Current State: 78:[98, 44], Operations: ['24+20=44']
Exploring Operation: 98+24=122, Resulting Numbers: [44, 122]
Generated Node #3: [44, 122] from Operation: 98+24=122
Current State: 78:[44, 122], Operations: ['24+20=44', '98+24=122']
Exploring Operation: 122-44=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[24, 20, 98, 24], Operations: []
Exploring Operation: 98-24=74, Resulting Numbers: [20, 24, 74]
Generated Node #0,0: 78:[20, 24, 74] Operation: 98-24=74
Exploring Operation: 98-20=78, Resulting Numbers: [24, 24, 78]
Generated Node #0,1: 78:[24, 24, 78] Operation: 98-20=78
Moving to Node #0,1
Current State: 78:[24, 24, 78], Operations: ['98-20=78']
Exploring Operation: 24-24=0, Resulting Numbers: [78, 0]
Generated Node #0,1,0: 78:[78, 0] Operation: 24-24=0
Exploring Operation: 24/24=1, Resulting Numbers: [78, 1]
Generated Node #0,1,1: 78:[78, 1] Operation: 24/24=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[78, 1], Operations: ['98-20=78', '24/24=1']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[24, 20, 98, 24], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [24, 24, 78]
Generated Node #0,1: 78:[24, 24, 78] Operation: 98-20=78
Moving to Node #0,1
Current State: 78:[24, 24, 78], Operations: ['98-20=78']
Exploring Operation: 24/24=1, Resulting Numbers: [78, 1]
Generated Node #0,1,1: 78:[78, 1] Operation: 24/24=1
Moving to Node #0,1,1
Current State: 78:[78, 1], Operations: ['98-20=78', '24/24=1']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
85,
83,
51,
52
] | 25 | [
"85-83=2",
"52/2=26",
"51-26=25"
] | Current State: 25:[85, 83, 51, 52], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [51, 52, 2]
Generated Node #2: [51, 52, 2] from Operation: 85-83=2
Current State: 25:[51, 52, 2], Operations: ['85-83=2']
Exploring Operation: 52/2=26, Resulting Numbers: [51, 26]
Generated Node #3: [51, 26] from Operation: 52/2=26
Current State: 25:[51, 26], Operations: ['85-83=2', '52/2=26']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[85, 83, 51, 52], Operations: []
Exploring Operation: 85-52=33, Resulting Numbers: [83, 51, 33]
Generated Node #0,0: 25:[83, 51, 33] Operation: 85-52=33
Exploring Operation: 83-52=31, Resulting Numbers: [85, 51, 31]
Generated Node #0,1: 25:[85, 51, 31] Operation: 83-52=31
Exploring Operation: 85-51=34, Resulting Numbers: [83, 52, 34]
Generated Node #0,2: 25:[83, 52, 34] Operation: 85-51=34
Exploring Operation: 85-83=2, Resulting Numbers: [51, 52, 2]
Generated Node #0,3: 25:[51, 52, 2] Operation: 85-83=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[51, 52, 2], Operations: ['85-83=2']
Exploring Operation: 52/2=26, Resulting Numbers: [51, 26]
Generated Node #0,3,0: 25:[51, 26] Operation: 52/2=26
Exploring Operation: 51-2=49, Resulting Numbers: [52, 49]
Generated Node #0,3,1: 25:[52, 49] Operation: 51-2=49
Exploring Operation: 52-2=50, Resulting Numbers: [51, 50]
Generated Node #0,3,2: 25:[51, 50] Operation: 52-2=50
Exploring Operation: 52-51=1, Resulting Numbers: [2, 1]
Generated Node #0,3,3: 25:[2, 1] Operation: 52-51=1
Moving to Node #0,3,3
Current State: 25:[2, 1], Operations: ['85-83=2', '52-51=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[51, 26], Operations: ['85-83=2', '52/2=26']
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[85, 83, 51, 52], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [51, 52, 2]
Generated Node #0,3: 25:[51, 52, 2] Operation: 85-83=2
Moving to Node #0,3
Current State: 25:[51, 52, 2], Operations: ['85-83=2']
Exploring Operation: 52/2=26, Resulting Numbers: [51, 26]
Generated Node #0,3,0: 25:[51, 26] Operation: 52/2=26
Moving to Node #0,3,0
Current State: 25:[51, 26], Operations: ['85-83=2', '52/2=26']
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
53,
96,
80,
49
] | 74 | [
"96-53=43",
"80-49=31",
"43+31=74"
] | Current State: 74:[53, 96, 80, 49], Operations: []
Exploring Operation: 96-53=43, Resulting Numbers: [80, 49, 43]
Generated Node #2: [80, 49, 43] from Operation: 96-53=43
Current State: 74:[80, 49, 43], Operations: ['96-53=43']
Exploring Operation: 80-49=31, Resulting Numbers: [43, 31]
Generated Node #3: [43, 31] from Operation: 80-49=31
Current State: 74:[43, 31], Operations: ['96-53=43', '80-49=31']
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[53, 96, 80, 49], Operations: []
Exploring Operation: 96-49=47, Resulting Numbers: [53, 80, 47]
Generated Node #0,0: 74:[53, 80, 47] Operation: 96-49=47
Exploring Operation: 80-53=27, Resulting Numbers: [96, 49, 27]
Generated Node #0,1: 74:[96, 49, 27] Operation: 80-53=27
Exploring Operation: 96-80=16, Resulting Numbers: [53, 49, 16]
Generated Node #0,2: 74:[53, 49, 16] Operation: 96-80=16
Exploring Operation: 96-53=43, Resulting Numbers: [80, 49, 43]
Generated Node #0,3: 74:[80, 49, 43] Operation: 96-53=43
Exploring Operation: 53-49=4, Resulting Numbers: [96, 80, 4]
Generated Node #0,4: 74:[96, 80, 4] Operation: 53-49=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[80, 49, 43], Operations: ['96-53=43']
Exploring Operation: 80-43=37, Resulting Numbers: [49, 37]
Generated Node #0,3,0: 74:[49, 37] Operation: 80-43=37
Exploring Operation: 80+49=129, Resulting Numbers: [43, 129]
Generated Node #0,3,1: 74:[43, 129] Operation: 80+49=129
Exploring Operation: 49-43=6, Resulting Numbers: [80, 6]
Generated Node #0,3,2: 74:[80, 6] Operation: 49-43=6
Exploring Operation: 80-49=31, Resulting Numbers: [43, 31]
Generated Node #0,3,3: 74:[43, 31] Operation: 80-49=31
Exploring Operation: 49+43=92, Resulting Numbers: [80, 92]
Generated Node #0,3,4: 74:[80, 92] Operation: 49+43=92
Moving to Node #0,3,2
Current State: 74:[80, 6], Operations: ['96-53=43', '49-43=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[53, 96, 80, 49], Operations: []
Exploring Operation: 96-53=43, Resulting Numbers: [80, 49, 43]
Generated Node #0,3: 74:[80, 49, 43] Operation: 96-53=43
Moving to Node #0,3
Current State: 74:[80, 49, 43], Operations: ['96-53=43']
Exploring Operation: 49-43=6, Resulting Numbers: [80, 6]
Generated Node #0,3,2: 74:[80, 6] Operation: 49-43=6
Moving to Node #0,3,2
Current State: 74:[80, 6], Operations: ['96-53=43', '49-43=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
8,
21,
89,
52
] | 15 | [
"89-21=68",
"52+68=120",
"120/8=15"
] | Current State: 15:[8, 21, 89, 52], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [8, 52, 68]
Generated Node #2: [8, 52, 68] from Operation: 89-21=68
Current State: 15:[8, 52, 68], Operations: ['89-21=68']
Exploring Operation: 52+68=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 52+68=120
Current State: 15:[8, 120], Operations: ['89-21=68', '52+68=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[8, 21, 89, 52], Operations: []
Exploring Operation: 89-8=81, Resulting Numbers: [21, 52, 81]
Generated Node #0,0: 15:[21, 52, 81] Operation: 89-8=81
Exploring Operation: 52-21=31, Resulting Numbers: [8, 89, 31]
Generated Node #0,1: 15:[8, 89, 31] Operation: 52-21=31
Exploring Operation: 89-21=68, Resulting Numbers: [8, 52, 68]
Generated Node #0,2: 15:[8, 52, 68] Operation: 89-21=68
Exploring Operation: 89-52=37, Resulting Numbers: [8, 21, 37]
Generated Node #0,3: 15:[8, 21, 37] Operation: 89-52=37
Moving to Node #0,3
Current State: 15:[8, 21, 37], Operations: ['89-52=37']
Exploring Operation: 21-8=13, Resulting Numbers: [37, 13]
Generated Node #0,3,0: 15:[37, 13] Operation: 21-8=13
Exploring Operation: 8+21=29, Resulting Numbers: [37, 29]
Generated Node #0,3,1: 15:[37, 29] Operation: 8+21=29
Exploring Operation: 37-8=29, Resulting Numbers: [21, 29]
Generated Node #0,3,2: 15:[21, 29] Operation: 37-8=29
Exploring Operation: 37-21=16, Resulting Numbers: [8, 16]
Generated Node #0,3,3: 15:[8, 16] Operation: 37-21=16
Moving to Node #0,2
Current State: 15:[8, 52, 68], Operations: ['89-21=68']
Exploring Operation: 8+52=60, Resulting Numbers: [68, 60]
Generated Node #0,2,0: 15:[68, 60] Operation: 8+52=60
Exploring Operation: 68-8=60, Resulting Numbers: [52, 60]
Generated Node #0,2,1: 15:[52, 60] Operation: 68-8=60
Exploring Operation: 68-52=16, Resulting Numbers: [8, 16]
Generated Node #0,2,2: 15:[8, 16] Operation: 68-52=16
Exploring Operation: 52-8=44, Resulting Numbers: [68, 44]
Generated Node #0,2,3: 15:[68, 44] Operation: 52-8=44
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[8, 16], Operations: ['89-21=68', '68-52=16']
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,15 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[52, 60], Operations: ['89-21=68', '68-8=60']
Exploring Operation: 52*60=3120, Resulting Numbers: [3120]
3120,15 unequal: No Solution
Exploring Operation: 52+60=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 15:[68, 44], Operations: ['89-21=68', '52-8=44']
Exploring Operation: 68*44=2992, Resulting Numbers: [2992]
2992,15 unequal: No Solution
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 68+44=112, Resulting Numbers: [112]
112,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[68, 60], Operations: ['89-21=68', '8+52=60']
Exploring Operation: 68+60=128, Resulting Numbers: [128]
128,15 unequal: No Solution
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 68*60=4080, Resulting Numbers: [4080]
4080,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 15:[8, 89, 31], Operations: ['52-21=31']
Exploring Operation: 89-31=58, Resulting Numbers: [8, 58]
Generated Node #0,1,0: 15:[8, 58] Operation: 89-31=58
Exploring Operation: 8+89=97, Resulting Numbers: [31, 97]
Generated Node #0,1,1: 15:[31, 97] Operation: 8+89=97
Exploring Operation: 31-8=23, Resulting Numbers: [89, 23]
Generated Node #0,1,2: 15:[89, 23] Operation: 31-8=23
Exploring Operation: 89-8=81, Resulting Numbers: [31, 81]
Generated Node #0,1,3: 15:[31, 81] Operation: 89-8=81
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[8, 58], Operations: ['52-21=31', '89-31=58']
Exploring Operation: 8+58=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 8*58=464, Resulting Numbers: [464]
464,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[89, 23], Operations: ['52-21=31', '31-8=23']
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 89+23=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 89*23=2047, Resulting Numbers: [2047]
2047,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[31, 81], Operations: ['52-21=31', '89-8=81']
Exploring Operation: 31*81=2511, Resulting Numbers: [2511]
2511,15 unequal: No Solution
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 31+81=112, Resulting Numbers: [112]
112,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[31, 97], Operations: ['52-21=31', '8+89=97']
Exploring Operation: 31+97=128, Resulting Numbers: [128]
128,15 unequal: No Solution
Exploring Operation: 31*97=3007, Resulting Numbers: [3007]
3007,15 unequal: No Solution
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,15 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:[21, 52, 81], Operations: ['89-8=81']
Exploring Operation: 81-52=29, Resulting Numbers: [21, 29]
Generated Node #0,0,0: 15:[21, 29] Operation: 81-52=29
Exploring Operation: 21+52=73, Resulting Numbers: [81, 73]
Generated Node #0,0,1: 15:[81, 73] Operation: 21+52=73
Exploring Operation: 81-21=60, Resulting Numbers: [52, 60]
Generated Node #0,0,2: 15:[52, 60] Operation: 81-21=60
Exploring Operation: 52-21=31, Resulting Numbers: [81, 31]
Generated Node #0,0,3: 15:[81, 31] Operation: 52-21=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[21, 29], Operations: ['89-8=81', '81-52=29']
Exploring Operation: 21*29=609, Resulting Numbers: [609]
609,15 unequal: No Solution
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[52, 60], Operations: ['89-8=81', '81-21=60']
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 52+60=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 52*60=3120, Resulting Numbers: [3120]
3120,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 15:[81, 31], Operations: ['89-8=81', '52-21=31']
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 81*31=2511, Resulting Numbers: [2511]
2511,15 unequal: No Solution
Exploring Operation: 81+31=112, Resulting Numbers: [112]
112,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[81, 73], Operations: ['89-8=81', '21+52=73']
Exploring Operation: 81-73=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 81+73=154, Resulting Numbers: [154]
154,15 unequal: No Solution
Exploring Operation: 81*73=5913, Resulting Numbers: [5913]
5913,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 15:[8, 16], Operations: ['89-52=37', '37-21=16']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,15 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[21, 29], Operations: ['89-52=37', '37-8=29']
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 21*29=609, Resulting Numbers: [609]
609,15 unequal: No Solution
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[37, 13], Operations: ['89-52=37', '21-8=13']
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,15 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[37, 29], Operations: ['89-52=37', '8+21=29']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,15 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
8,
82,
2,
23
] | 55 | [
"8/2=4",
"82-23=59",
"59-4=55"
] | Current State: 55:[8, 82, 2, 23], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [82, 23, 4]
Generated Node #2: [82, 23, 4] from Operation: 8/2=4
Current State: 55:[82, 23, 4], Operations: ['8/2=4']
Exploring Operation: 82-23=59, Resulting Numbers: [4, 59]
Generated Node #3: [4, 59] from Operation: 82-23=59
Current State: 55:[4, 59], Operations: ['8/2=4', '82-23=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[8, 82, 2, 23], Operations: []
Exploring Operation: 82-23=59, Resulting Numbers: [8, 2, 59]
Generated Node #0,0: 55:[8, 2, 59] Operation: 82-23=59
Exploring Operation: 82/2=41, Resulting Numbers: [8, 23, 41]
Generated Node #0,1: 55:[8, 23, 41] Operation: 82/2=41
Moving to Node #0,0
Current State: 55:[8, 2, 59], Operations: ['82-23=59']
Exploring Operation: 8-2=6, Resulting Numbers: [59, 6]
Generated Node #0,0,0: 55:[59, 6] Operation: 8-2=6
Exploring Operation: 8+2=10, Resulting Numbers: [59, 10]
Generated Node #0,0,1: 55:[59, 10] Operation: 8+2=10
Moving to Node #0,1
Current State: 55:[8, 23, 41], Operations: ['82/2=41']
Exploring Operation: 23+41=64, Resulting Numbers: [8, 64]
Generated Node #0,1,0: 55:[8, 64] Operation: 23+41=64
Exploring Operation: 41-23=18, Resulting Numbers: [8, 18]
Generated Node #0,1,1: 55:[8, 18] Operation: 41-23=18
Moving to Node #0,0,0
Current State: 55:[59, 6], Operations: ['82-23=59', '8-2=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,55 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[59, 10], Operations: ['82-23=59', '8+2=10']
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,55 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[8, 18], Operations: ['82/2=41', '41-23=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,55 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[8, 64], Operations: ['82/2=41', '23+41=64']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,55 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
31,
18,
38
] | 26 | [
"18*38=684",
"684/12=57",
"57-31=26"
] | Current State: 26:[12, 31, 18, 38], Operations: []
Exploring Operation: 18*38=684, Resulting Numbers: [12, 31, 684]
Generated Node #2: [12, 31, 684] from Operation: 18*38=684
Current State: 26:[12, 31, 684], Operations: ['18*38=684']
Exploring Operation: 684/12=57, Resulting Numbers: [31, 57]
Generated Node #3: [31, 57] from Operation: 684/12=57
Current State: 26:[31, 57], Operations: ['18*38=684', '684/12=57']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[12, 31, 18, 38], Operations: []
Exploring Operation: 38-12=26, Resulting Numbers: [31, 18, 26]
Generated Node #0,0: 26:[31, 18, 26] Operation: 38-12=26
Exploring Operation: 38-18=20, Resulting Numbers: [12, 31, 20]
Generated Node #0,1: 26:[12, 31, 20] Operation: 38-18=20
Exploring Operation: 38-31=7, Resulting Numbers: [12, 18, 7]
Generated Node #0,2: 26:[12, 18, 7] Operation: 38-31=7
Moving to Node #0,0
Current State: 26:[31, 18, 26], Operations: ['38-12=26']
Exploring Operation: 26-18=8, Resulting Numbers: [31, 8]
Generated Node #0,0,0: 26:[31, 8] Operation: 26-18=8
Exploring Operation: 31-18=13, Resulting Numbers: [26, 13]
Generated Node #0,0,1: 26:[26, 13] Operation: 31-18=13
Exploring Operation: 31-26=5, Resulting Numbers: [18, 5]
Generated Node #0,0,2: 26:[18, 5] Operation: 31-26=5
Moving to Node #0,2
Current State: 26:[12, 18, 7], Operations: ['38-31=7']
Exploring Operation: 18-7=11, Resulting Numbers: [12, 11]
Generated Node #0,2,0: 26:[12, 11] Operation: 18-7=11
Exploring Operation: 18+7=25, Resulting Numbers: [12, 25]
Generated Node #0,2,1: 26:[12, 25] Operation: 18+7=25
Exploring Operation: 12-7=5, Resulting Numbers: [18, 5]
Generated Node #0,2,2: 26:[18, 5] Operation: 12-7=5
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 26:[12, 25], Operations: ['38-31=7', '18+7=25']
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,26 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,26 unequal: No Solution
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[12, 11], Operations: ['38-31=7', '18-7=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,26 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 26:[18, 5], Operations: ['38-31=7', '12-7=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,26 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,26 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: 26:[12, 31, 20], Operations: ['38-18=20']
Exploring Operation: 12+20=32, Resulting Numbers: [31, 32]
Generated Node #0,1,0: 26:[31, 32] Operation: 12+20=32
Exploring Operation: 20-12=8, Resulting Numbers: [31, 8]
Generated Node #0,1,1: 26:[31, 8] Operation: 20-12=8
Exploring Operation: 31-20=11, Resulting Numbers: [12, 11]
Generated Node #0,1,2: 26:[12, 11] Operation: 31-20=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[12, 11], Operations: ['38-18=20', '31-20=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,26 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[31, 8], Operations: ['38-18=20', '20-12=8']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[31, 32], Operations: ['38-18=20', '12+20=32']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,26 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 26:[26, 13], Operations: ['38-12=26', '31-18=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,26 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[18, 5], Operations: ['38-12=26', '31-26=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,26 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[31, 8], Operations: ['38-12=26', '26-18=8']
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,26 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,26 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
44,
96,
4,
66
] | 76 | [
"96-66=30",
"4*30=120",
"120-44=76"
] | Current State: 76:[44, 96, 4, 66], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [44, 4, 30]
Generated Node #2: [44, 4, 30] from Operation: 96-66=30
Current State: 76:[44, 4, 30], Operations: ['96-66=30']
Exploring Operation: 4*30=120, Resulting Numbers: [44, 120]
Generated Node #3: [44, 120] from Operation: 4*30=120
Current State: 76:[44, 120], Operations: ['96-66=30', '4*30=120']
Exploring Operation: 120-44=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[44, 96, 4, 66], Operations: []
Exploring Operation: 66-44=22, Resulting Numbers: [96, 4, 22]
Generated Node #0,0: 76:[96, 4, 22] Operation: 66-44=22
Exploring Operation: 96/4=24, Resulting Numbers: [44, 66, 24]
Generated Node #0,1: 76:[44, 66, 24] Operation: 96/4=24
Exploring Operation: 96-66=30, Resulting Numbers: [44, 4, 30]
Generated Node #0,2: 76:[44, 4, 30] Operation: 96-66=30
Moving to Node #0,2
Current State: 76:[44, 4, 30], Operations: ['96-66=30']
Exploring Operation: 44-4=40, Resulting Numbers: [30, 40]
Generated Node #0,2,0: 76:[30, 40] Operation: 44-4=40
Exploring Operation: 44-30=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 76:[4, 14] Operation: 44-30=14
Exploring Operation: 44+30=74, Resulting Numbers: [4, 74]
Generated Node #0,2,2: 76:[4, 74] Operation: 44+30=74
Moving to Node #0,1
Current State: 76:[44, 66, 24], Operations: ['96/4=24']
Exploring Operation: 66-44=22, Resulting Numbers: [24, 22]
Generated Node #0,1,0: 76:[24, 22] Operation: 66-44=22
Exploring Operation: 66-24=42, Resulting Numbers: [44, 42]
Generated Node #0,1,1: 76:[44, 42] Operation: 66-24=42
Exploring Operation: 44-24=20, Resulting Numbers: [66, 20]
Generated Node #0,1,2: 76:[66, 20] Operation: 44-24=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[24, 22], Operations: ['96/4=24', '66-44=22']
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,76 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,76 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 #0,1,1
Current State: 76:[44, 42], Operations: ['96/4=24', '66-24=42']
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,76 unequal: No Solution
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,76 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 #0,1,2
Current State: 76:[66, 20], Operations: ['96/4=24', '44-24=20']
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,76 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,76 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,76 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: 76:[96, 4, 22], Operations: ['66-44=22']
Exploring Operation: 96/4=24, Resulting Numbers: [22, 24]
Generated Node #0,0,0: 76:[22, 24] Operation: 96/4=24
Exploring Operation: 96-22=74, Resulting Numbers: [4, 74]
Generated Node #0,0,1: 76:[4, 74] Operation: 96-22=74
Exploring Operation: 96-4=92, Resulting Numbers: [22, 92]
Generated Node #0,0,2: 76:[22, 92] Operation: 96-4=92
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[4, 74], Operations: ['66-44=22', '96-22=74']
Exploring Operation: 4*74=296, Resulting Numbers: [296]
296,76 unequal: No Solution
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[22, 24], Operations: ['66-44=22', '96/4=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,76 unequal: No Solution
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,76 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[22, 92], Operations: ['66-44=22', '96-4=92']
Exploring Operation: 22*92=2024, Resulting Numbers: [2024]
2024,76 unequal: No Solution
Exploring Operation: 22+92=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 92-22=70, Resulting Numbers: [70]
70,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 76:[4, 74], Operations: ['96-66=30', '44+30=74']
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 4*74=296, Resulting Numbers: [296]
296,76 unequal: No Solution
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[4, 14], Operations: ['96-66=30', '44-30=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[30, 40], Operations: ['96-66=30', '44-4=40']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,76 unequal: No Solution
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,76 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
21,
15,
84,
3
] | 24 | [
"21+15=36",
"3*36=108",
"108-84=24"
] | Current State: 24:[21, 15, 84, 3], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [84, 3, 36]
Generated Node #2: [84, 3, 36] from Operation: 21+15=36
Current State: 24:[84, 3, 36], Operations: ['21+15=36']
Exploring Operation: 3*36=108, Resulting Numbers: [84, 108]
Generated Node #3: [84, 108] from Operation: 3*36=108
Current State: 24:[84, 108], Operations: ['21+15=36', '3*36=108']
Exploring Operation: 108-84=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[21, 15, 84, 3], Operations: []
Exploring Operation: 84-21=63, Resulting Numbers: [15, 3, 63]
Generated Node #0,0: 24:[15, 3, 63] Operation: 84-21=63
Exploring Operation: 84/21=4, Resulting Numbers: [15, 3, 4]
Generated Node #0,1: 24:[15, 3, 4] Operation: 84/21=4
Exploring Operation: 84/3=28, Resulting Numbers: [21, 15, 28]
Generated Node #0,2: 24:[21, 15, 28] Operation: 84/3=28
Exploring Operation: 84-15=69, Resulting Numbers: [21, 3, 69]
Generated Node #0,3: 24:[21, 3, 69] Operation: 84-15=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[15, 3, 4], Operations: ['84/21=4']
Exploring Operation: 3*4=12, Resulting Numbers: [15, 12]
Generated Node #0,1,0: 24:[15, 12] Operation: 3*4=12
Exploring Operation: 15/3=5, Resulting Numbers: [4, 5]
Generated Node #0,1,1: 24:[4, 5] Operation: 15/3=5
Exploring Operation: 15-3=12, Resulting Numbers: [4, 12]
Generated Node #0,1,2: 24:[4, 12] Operation: 15-3=12
Exploring Operation: 15-4=11, Resulting Numbers: [3, 11]
Generated Node #0,1,3: 24:[3, 11] Operation: 15-4=11
Moving to Node #0,1,2
Current State: 24:[4, 12], Operations: ['84/21=4', '15-3=12']
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,24 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[3, 11], Operations: ['84/21=4', '15-4=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[4, 5], Operations: ['84/21=4', '15/3=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[15, 12], Operations: ['84/21=4', '3*4=12']
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,24 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,24 unequal: No Solution
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[21, 15, 28], Operations: ['84/3=28']
Exploring Operation: 28-21=7, Resulting Numbers: [15, 7]
Generated Node #0,2,0: 24:[15, 7] Operation: 28-21=7
Exploring Operation: 21-15=6, Resulting Numbers: [28, 6]
Generated Node #0,2,1: 24:[28, 6] Operation: 21-15=6
Exploring Operation: 28-15=13, Resulting Numbers: [21, 13]
Generated Node #0,2,2: 24:[21, 13] Operation: 28-15=13
Exploring Operation: 21+15=36, Resulting Numbers: [28, 36]
Generated Node #0,2,3: 24:[28, 36] Operation: 21+15=36
Moving to Node #0,2,0
Current State: 24:[15, 7], Operations: ['84/3=28', '28-21=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,24 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[21, 13], Operations: ['84/3=28', '28-15=13']
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,24 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,24 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[28, 6], Operations: ['84/3=28', '21-15=6']
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,24 unequal: No Solution
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,24 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Moving to Node #0,2,3
Current State: 24:[28, 36], Operations: ['84/3=28', '21+15=36']
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,24 unequal: No Solution
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,24 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[15, 3, 63], Operations: ['84-21=63']
Exploring Operation: 63/3=21, Resulting Numbers: [15, 21]
Generated Node #0,0,0: 24:[15, 21] Operation: 63/3=21
Exploring Operation: 15-3=12, Resulting Numbers: [63, 12]
Generated Node #0,0,1: 24:[63, 12] Operation: 15-3=12
Exploring Operation: 63-15=48, Resulting Numbers: [3, 48]
Generated Node #0,0,2: 24:[3, 48] Operation: 63-15=48
Exploring Operation: 63-3=60, Resulting Numbers: [15, 60]
Generated Node #0,0,3: 24:[15, 60] Operation: 63-3=60
Moving to Node #0,0,0
Current State: 24:[15, 21], Operations: ['84-21=63', '63/3=21']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 15*21=315, Resulting Numbers: [315]
315,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[3, 48], Operations: ['84-21=63', '63-15=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,24 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[15, 60], Operations: ['84-21=63', '63-3=60']
Exploring Operation: 15*60=900, Resulting Numbers: [900]
900,24 unequal: No Solution
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 15+60=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[63, 12], Operations: ['84-21=63', '15-3=12']
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,24 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[21, 3, 69], Operations: ['84-15=69']
Exploring Operation: 21+3=24, Resulting Numbers: [69, 24]
Generated Node #0,3,0: 24:[69, 24] Operation: 21+3=24
Exploring Operation: 69/3=23, Resulting Numbers: [21, 23]
Generated Node #0,3,1: 24:[21, 23] Operation: 69/3=23
Exploring Operation: 69-21=48, Resulting Numbers: [3, 48]
Generated Node #0,3,2: 24:[3, 48] Operation: 69-21=48
Exploring Operation: 69-3=66, Resulting Numbers: [21, 66]
Generated Node #0,3,3: 24:[21, 66] Operation: 69-3=66
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 24:[21, 23], Operations: ['84-15=69', '69/3=23']
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 21+23=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 21*23=483, Resulting Numbers: [483]
483,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 24:[3, 48], Operations: ['84-15=69', '69-21=48']
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,24 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,24 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 24:[69, 24], Operations: ['84-15=69', '21+3=24']
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,24 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 24:[21, 66], Operations: ['84-15=69', '69-3=66']
Exploring Operation: 21*66=1386, Resulting Numbers: [1386]
1386,24 unequal: No Solution
Exploring Operation: 21+66=87, Resulting Numbers: [87]
87,24 unequal: No Solution
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
28,
41,
68,
69
] | 69 | [
"28+41=69",
"69-68=1",
"69*1=69"
] | Current State: 69:[28, 41, 68, 69], Operations: []
Exploring Operation: 28+41=69, Resulting Numbers: [68, 69, 69]
Generated Node #2: [68, 69, 69] from Operation: 28+41=69
Current State: 69:[68, 69, 69], Operations: ['28+41=69']
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,69 equal: Goal Reached
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[28, 41, 68, 69], Operations: []
Exploring Operation: 68-41=27, Resulting Numbers: [28, 69, 27]
Generated Node #0,0: 69:[28, 69, 27] Operation: 68-41=27
Exploring Operation: 69-41=28, Resulting Numbers: [28, 68, 28]
Generated Node #0,1: 69:[28, 68, 28] Operation: 69-41=28
Exploring Operation: 28+41=69, Resulting Numbers: [68, 69, 69]
Generated Node #0,2: 69:[68, 69, 69] Operation: 28+41=69
Exploring Operation: 41-28=13, Resulting Numbers: [68, 69, 13]
Generated Node #0,3: 69:[68, 69, 13] Operation: 41-28=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[68, 69, 69], Operations: ['28+41=69']
Exploring Operation: 69-68=1, Resulting Numbers: [69, 1]
Generated Node #0,2,0: 69:[69, 1] Operation: 69-68=1
Exploring Operation: 69-69=0, Resulting Numbers: [68, 0]
Generated Node #0,2,1: 69:[68, 0] Operation: 69-69=0
Exploring Operation: 69/69=1, Resulting Numbers: [68, 1]
Generated Node #0,2,2: 69:[68, 1] Operation: 69/69=1
Exploring Operation: 69-68=1, Resulting Numbers: [69, 1]
Generated Node #0,2,3: 69:[69, 1] Operation: 69-68=1
Moving to Node #0,2,0
Current State: 69:[69, 1], Operations: ['28+41=69', '69-68=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,69 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[28, 41, 68, 69], Operations: []
Exploring Operation: 28+41=69, Resulting Numbers: [68, 69, 69]
Generated Node #0,2: 69:[68, 69, 69] Operation: 28+41=69
Moving to Node #0,2
Current State: 69:[68, 69, 69], Operations: ['28+41=69']
Exploring Operation: 69-68=1, Resulting Numbers: [69, 1]
Generated Node #0,2,0: 69:[69, 1] Operation: 69-68=1
Moving to Node #0,2,0
Current State: 69:[69, 1], Operations: ['28+41=69', '69-68=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
52,
48,
91,
59
] | 36 | [
"52-48=4",
"91-59=32",
"4+32=36"
] | Current State: 36:[52, 48, 91, 59], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [91, 59, 4]
Generated Node #2: [91, 59, 4] from Operation: 52-48=4
Current State: 36:[91, 59, 4], Operations: ['52-48=4']
Exploring Operation: 91-59=32, Resulting Numbers: [4, 32]
Generated Node #3: [4, 32] from Operation: 91-59=32
Current State: 36:[4, 32], Operations: ['52-48=4', '91-59=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[52, 48, 91, 59], Operations: []
Exploring Operation: 91-48=43, Resulting Numbers: [52, 59, 43]
Generated Node #0,0: 36:[52, 59, 43] Operation: 91-48=43
Exploring Operation: 91-59=32, Resulting Numbers: [52, 48, 32]
Generated Node #0,1: 36:[52, 48, 32] Operation: 91-59=32
Exploring Operation: 91-52=39, Resulting Numbers: [48, 59, 39]
Generated Node #0,2: 36:[48, 59, 39] Operation: 91-52=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[52, 48, 32], Operations: ['91-59=32']
Exploring Operation: 52-32=20, Resulting Numbers: [48, 20]
Generated Node #0,1,0: 36:[48, 20] Operation: 52-32=20
Exploring Operation: 52-48=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 36:[32, 4] Operation: 52-48=4
Exploring Operation: 48-32=16, Resulting Numbers: [52, 16]
Generated Node #0,1,2: 36:[52, 16] Operation: 48-32=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[32, 4], Operations: ['91-59=32', '52-48=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[52, 48, 91, 59], Operations: []
Exploring Operation: 91-59=32, Resulting Numbers: [52, 48, 32]
Generated Node #0,1: 36:[52, 48, 32] Operation: 91-59=32
Moving to Node #0,1
Current State: 36:[52, 48, 32], Operations: ['91-59=32']
Exploring Operation: 52-48=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 36:[32, 4] Operation: 52-48=4
Moving to Node #0,1,1
Current State: 36:[32, 4], Operations: ['91-59=32', '52-48=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
10,
35,
42,
47
] | 35 | [
"10*42=420",
"47-35=12",
"420/12=35"
] | Current State: 35:[10, 35, 42, 47], Operations: []
Exploring Operation: 10*42=420, Resulting Numbers: [35, 47, 420]
Generated Node #2: [35, 47, 420] from Operation: 10*42=420
Current State: 35:[35, 47, 420], Operations: ['10*42=420']
Exploring Operation: 47-35=12, Resulting Numbers: [420, 12]
Generated Node #3: [420, 12] from Operation: 47-35=12
Current State: 35:[420, 12], Operations: ['10*42=420', '47-35=12']
Exploring Operation: 420/12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[10, 35, 42, 47], Operations: []
Exploring Operation: 42-10=32, Resulting Numbers: [35, 47, 32]
Generated Node #0,0: 35:[35, 47, 32] Operation: 42-10=32
Exploring Operation: 47-10=37, Resulting Numbers: [35, 42, 37]
Generated Node #0,1: 35:[35, 42, 37] Operation: 47-10=37
Exploring Operation: 47-35=12, Resulting Numbers: [10, 42, 12]
Generated Node #0,2: 35:[10, 42, 12] Operation: 47-35=12
Exploring Operation: 42-35=7, Resulting Numbers: [10, 47, 7]
Generated Node #0,3: 35:[10, 47, 7] Operation: 42-35=7
Exploring Operation: 47-42=5, Resulting Numbers: [10, 35, 5]
Generated Node #0,4: 35:[10, 35, 5] Operation: 47-42=5
Start Sub Search at level 1: Moving to Node #0,4
Current State: 35:[10, 35, 5], Operations: ['47-42=5']
Exploring Operation: 35/5=7, Resulting Numbers: [10, 7]
Generated Node #0,4,0: 35:[10, 7] Operation: 35/5=7
Exploring Operation: 10-5=5, Resulting Numbers: [35, 5]
Generated Node #0,4,1: 35:[35, 5] Operation: 10-5=5
Exploring Operation: 10/5=2, Resulting Numbers: [35, 2]
Generated Node #0,4,2: 35:[35, 2] Operation: 10/5=2
Exploring Operation: 35+5=40, Resulting Numbers: [10, 40]
Generated Node #0,4,3: 35:[10, 40] Operation: 35+5=40
Exploring Operation: 10+5=15, Resulting Numbers: [35, 15]
Generated Node #0,4,4: 35:[35, 15] Operation: 10+5=15
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 35:[35, 5], Operations: ['47-42=5', '10-5=5']
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,35 unequal: No Solution
No 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: 35:[10, 7], Operations: ['47-42=5', '35/5=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,35 unequal: No Solution
No 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: 35:[35, 2], Operations: ['47-42=5', '10/5=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,35 unequal: No Solution
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,35 unequal: No Solution
No 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: 35:[10, 40], Operations: ['47-42=5', '35+5=40']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 10*40=400, Resulting Numbers: [400]
400,35 unequal: No Solution
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,35 unequal: No Solution
No 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: 35:[35, 15], Operations: ['47-42=5', '10+5=15']
Exploring Operation: 35+15=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 35*15=525, Resulting Numbers: [525]
525,35 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: 35:[35, 42, 37], Operations: ['47-10=37']
Exploring Operation: 42-37=5, Resulting Numbers: [35, 5]
Generated Node #0,1,0: 35:[35, 5] Operation: 42-37=5
Exploring Operation: 42-35=7, Resulting Numbers: [37, 7]
Generated Node #0,1,1: 35:[37, 7] Operation: 42-35=7
Exploring Operation: 35+37=72, Resulting Numbers: [42, 72]
Generated Node #0,1,2: 35:[42, 72] Operation: 35+37=72
Exploring Operation: 35+42=77, Resulting Numbers: [37, 77]
Generated Node #0,1,3: 35:[37, 77] Operation: 35+42=77
Exploring Operation: 37-35=2, Resulting Numbers: [42, 2]
Generated Node #0,1,4: 35:[42, 2] Operation: 37-35=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[35, 5], Operations: ['47-10=37', '42-37=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 35*5=175, Resulting Numbers: [175]
175,35 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,35 unequal: No Solution
No 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: 35:[37, 7], Operations: ['47-10=37', '42-35=7']
Exploring Operation: 37*7=259, Resulting Numbers: [259]
259,35 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 37+7=44, Resulting Numbers: [44]
44,35 unequal: No Solution
No 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: 35:[42, 2], Operations: ['47-10=37', '37-35=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,35 unequal: No Solution
No 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: 35:[42, 72], Operations: ['47-10=37', '35+37=72']
Exploring Operation: 42+72=114, Resulting Numbers: [114]
114,35 unequal: No Solution
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 42*72=3024, Resulting Numbers: [3024]
3024,35 unequal: No Solution
No 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: 35:[37, 77], Operations: ['47-10=37', '35+42=77']
Exploring Operation: 37*77=2849, Resulting Numbers: [2849]
2849,35 unequal: No Solution
Exploring Operation: 37+77=114, Resulting Numbers: [114]
114,35 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,35 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: 35:[35, 47, 32], Operations: ['42-10=32']
Exploring Operation: 47+32=79, Resulting Numbers: [35, 79]
Generated Node #0,0,0: 35:[35, 79] Operation: 47+32=79
Exploring Operation: 47-35=12, Resulting Numbers: [32, 12]
Generated Node #0,0,1: 35:[32, 12] Operation: 47-35=12
Exploring Operation: 47-32=15, Resulting Numbers: [35, 15]
Generated Node #0,0,2: 35:[35, 15] Operation: 47-32=15
Exploring Operation: 35-32=3, Resulting Numbers: [47, 3]
Generated Node #0,0,3: 35:[47, 3] Operation: 35-32=3
Exploring Operation: 35+32=67, Resulting Numbers: [47, 67]
Generated Node #0,0,4: 35:[47, 67] Operation: 35+32=67
Moving to Node #0,0,1
Current State: 35:[32, 12], Operations: ['42-10=32', '47-35=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,35 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[35, 15], Operations: ['42-10=32', '47-32=15']
Exploring Operation: 35+15=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 35*15=525, Resulting Numbers: [525]
525,35 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[47, 3], Operations: ['42-10=32', '35-32=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,35 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[35, 79], Operations: ['42-10=32', '47+32=79']
Exploring Operation: 35+79=114, Resulting Numbers: [114]
114,35 unequal: No Solution
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 35*79=2765, Resulting Numbers: [2765]
2765,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[47, 67], Operations: ['42-10=32', '35+32=67']
Exploring Operation: 47*67=3149, Resulting Numbers: [3149]
3149,35 unequal: No Solution
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 47+67=114, Resulting Numbers: [114]
114,35 unequal: No Solution
No 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: 35:[10, 42, 12], Operations: ['47-35=12']
Exploring Operation: 12-10=2, Resulting Numbers: [42, 2]
Generated Node #0,2,0: 35:[42, 2] Operation: 12-10=2
Exploring Operation: 10+42=52, Resulting Numbers: [12, 52]
Generated Node #0,2,1: 35:[12, 52] Operation: 10+42=52
Exploring Operation: 10+12=22, Resulting Numbers: [42, 22]
Generated Node #0,2,2: 35:[42, 22] Operation: 10+12=22
Exploring Operation: 42-10=32, Resulting Numbers: [12, 32]
Generated Node #0,2,3: 35:[12, 32] Operation: 42-10=32
Exploring Operation: 42-12=30, Resulting Numbers: [10, 30]
Generated Node #0,2,4: 35:[10, 30] Operation: 42-12=30
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 35:[12, 32], Operations: ['47-35=12', '42-10=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,35 unequal: No Solution
No 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: 35:[10, 30], Operations: ['47-35=12', '42-12=30']
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 10*30=300, Resulting Numbers: [300]
300,35 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,35 unequal: No Solution
No 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: 35:[42, 2], Operations: ['47-35=12', '12-10=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,35 unequal: No Solution
No 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: 35:[42, 22], Operations: ['47-35=12', '10+12=22']
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,35 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,35 unequal: No Solution
No 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: 35:[12, 52], Operations: ['47-35=12', '10+42=52']
Exploring Operation: 12*52=624, Resulting Numbers: [624]
624,35 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,35 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: 35:[10, 47, 7], Operations: ['42-35=7']
Exploring Operation: 10+7=17, Resulting Numbers: [47, 17]
Generated Node #0,3,0: 35:[47, 17] Operation: 10+7=17
Exploring Operation: 10-7=3, Resulting Numbers: [47, 3]
Generated Node #0,3,1: 35:[47, 3] Operation: 10-7=3
Exploring Operation: 47-10=37, Resulting Numbers: [7, 37]
Generated Node #0,3,2: 35:[7, 37] Operation: 47-10=37
Exploring Operation: 47-7=40, Resulting Numbers: [10, 40]
Generated Node #0,3,3: 35:[10, 40] Operation: 47-7=40
Exploring Operation: 10+47=57, Resulting Numbers: [7, 57]
Generated Node #0,3,4: 35:[7, 57] Operation: 10+47=57
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 35:[7, 37], Operations: ['42-35=7', '47-10=37']
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,35 unequal: No Solution
No 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: 35:[10, 40], Operations: ['42-35=7', '47-7=40']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 10*40=400, Resulting Numbers: [400]
400,35 unequal: No Solution
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,35 unequal: No Solution
No 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: 35:[47, 3], Operations: ['42-35=7', '10-7=3']
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,35 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,35 unequal: No Solution
No 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: 35:[47, 17], Operations: ['42-35=7', '10+7=17']
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,35 unequal: No Solution
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,35 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,35 unequal: No Solution
No 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: 35:[7, 57], Operations: ['42-35=7', '10+47=57']
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,35 unequal: No Solution
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,35 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
9,
8,
66,
69
] | 96 | [
"66-9=57",
"69-57=12",
"8*12=96"
] | Current State: 96:[9, 8, 66, 69], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [8, 69, 57]
Generated Node #2: [8, 69, 57] from Operation: 66-9=57
Current State: 96:[8, 69, 57], Operations: ['66-9=57']
Exploring Operation: 69-57=12, Resulting Numbers: [8, 12]
Generated Node #3: [8, 12] from Operation: 69-57=12
Current State: 96:[8, 12], Operations: ['66-9=57', '69-57=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[9, 8, 66, 69], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [9, 8, 3]
Generated Node #0,0: 96:[9, 8, 3] Operation: 69-66=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[9, 8, 3], Operations: ['69-66=3']
Exploring Operation: 9+3=12, Resulting Numbers: [8, 12]
Generated Node #0,0,0: 96:[8, 12] Operation: 9+3=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[8, 12], Operations: ['69-66=3', '9+3=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[9, 8, 66, 69], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [9, 8, 3]
Generated Node #0,0: 96:[9, 8, 3] Operation: 69-66=3
Moving to Node #0,0
Current State: 96:[9, 8, 3], Operations: ['69-66=3']
Exploring Operation: 9+3=12, Resulting Numbers: [8, 12]
Generated Node #0,0,0: 96:[8, 12] Operation: 9+3=12
Moving to Node #0,0,0
Current State: 96:[8, 12], Operations: ['69-66=3', '9+3=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
14,
77,
15,
28
] | 48 | [
"14+77=91",
"15+28=43",
"91-43=48"
] | Current State: 48:[14, 77, 15, 28], Operations: []
Exploring Operation: 14+77=91, Resulting Numbers: [15, 28, 91]
Generated Node #2: [15, 28, 91] from Operation: 14+77=91
Current State: 48:[15, 28, 91], Operations: ['14+77=91']
Exploring Operation: 15+28=43, Resulting Numbers: [91, 43]
Generated Node #3: [91, 43] from Operation: 15+28=43
Current State: 48:[91, 43], Operations: ['14+77=91', '15+28=43']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[14, 77, 15, 28], Operations: []
Exploring Operation: 77-28=49, Resulting Numbers: [14, 15, 49]
Generated Node #0,0: 48:[14, 15, 49] Operation: 77-28=49
Exploring Operation: 77-14=63, Resulting Numbers: [15, 28, 63]
Generated Node #0,1: 48:[15, 28, 63] Operation: 77-14=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[14, 15, 49], Operations: ['77-28=49']
Exploring Operation: 14+15=29, Resulting Numbers: [49, 29]
Generated Node #0,0,0: 48:[49, 29] Operation: 14+15=29
Exploring Operation: 15-14=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 48:[49, 1] Operation: 15-14=1
Moving to Node #0,0,1
Current State: 48:[49, 1], Operations: ['77-28=49', '15-14=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[14, 77, 15, 28], Operations: []
Exploring Operation: 77-28=49, Resulting Numbers: [14, 15, 49]
Generated Node #0,0: 48:[14, 15, 49] Operation: 77-28=49
Moving to Node #0,0
Current State: 48:[14, 15, 49], Operations: ['77-28=49']
Exploring Operation: 15-14=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 48:[49, 1] Operation: 15-14=1
Moving to Node #0,0,1
Current State: 48:[49, 1], Operations: ['77-28=49', '15-14=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
3,
74,
30,
32
] | 74 | [
"3+30=33",
"33-32=1",
"74*1=74"
] | Current State: 74:[3, 74, 30, 32], Operations: []
Exploring Operation: 3+30=33, Resulting Numbers: [74, 32, 33]
Generated Node #2: [74, 32, 33] from Operation: 3+30=33
Current State: 74:[74, 32, 33], Operations: ['3+30=33']
Exploring Operation: 33-32=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 33-32=1
Current State: 74:[74, 1], Operations: ['3+30=33', '33-32=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[3, 74, 30, 32], Operations: []
Exploring Operation: 3+30=33, Resulting Numbers: [74, 32, 33]
Generated Node #0,0: 74:[74, 32, 33] Operation: 3+30=33
Exploring Operation: 32-30=2, Resulting Numbers: [3, 74, 2]
Generated Node #0,1: 74:[3, 74, 2] Operation: 32-30=2
Exploring Operation: 3+32=35, Resulting Numbers: [74, 30, 35]
Generated Node #0,2: 74:[74, 30, 35] Operation: 3+32=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[3, 74, 2], Operations: ['32-30=2']
Exploring Operation: 3+74=77, Resulting Numbers: [2, 77]
Generated Node #0,1,0: 74:[2, 77] Operation: 3+74=77
Exploring Operation: 74/2=37, Resulting Numbers: [3, 37]
Generated Node #0,1,1: 74:[3, 37] Operation: 74/2=37
Exploring Operation: 3-2=1, Resulting Numbers: [74, 1]
Generated Node #0,1,2: 74:[74, 1] Operation: 3-2=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[3, 37], Operations: ['32-30=2', '74/2=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,74 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 74:[74, 1], Operations: ['32-30=2', '3-2=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[3, 74, 30, 32], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [3, 74, 2]
Generated Node #0,1: 74:[3, 74, 2] Operation: 32-30=2
Moving to Node #0,1
Current State: 74:[3, 74, 2], Operations: ['32-30=2']
Exploring Operation: 3-2=1, Resulting Numbers: [74, 1]
Generated Node #0,1,2: 74:[74, 1] Operation: 3-2=1
Moving to Node #0,1,2
Current State: 74:[74, 1], Operations: ['32-30=2', '3-2=1']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
17,
32,
9,
73
] | 69 | [
"17-9=8",
"32/8=4",
"73-4=69"
] | Current State: 69:[17, 32, 9, 73], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [32, 73, 8]
Generated Node #2: [32, 73, 8] from Operation: 17-9=8
Current State: 69:[32, 73, 8], Operations: ['17-9=8']
Exploring Operation: 32/8=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 32/8=4
Current State: 69:[73, 4], Operations: ['17-9=8', '32/8=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[17, 32, 9, 73], Operations: []
Exploring Operation: 32-9=23, Resulting Numbers: [17, 73, 23]
Generated Node #0,0: 69:[17, 73, 23] Operation: 32-9=23
Exploring Operation: 32-17=15, Resulting Numbers: [9, 73, 15]
Generated Node #0,1: 69:[9, 73, 15] Operation: 32-17=15
Exploring Operation: 17+9=26, Resulting Numbers: [32, 73, 26]
Generated Node #0,2: 69:[32, 73, 26] Operation: 17+9=26
Moving to Node #0,0
Current State: 69:[17, 73, 23], Operations: ['32-9=23']
Exploring Operation: 23-17=6, Resulting Numbers: [73, 6]
Generated Node #0,0,0: 69:[73, 6] Operation: 23-17=6
Exploring Operation: 73-17=56, Resulting Numbers: [23, 56]
Generated Node #0,0,1: 69:[23, 56] Operation: 73-17=56
Exploring Operation: 17+73=90, Resulting Numbers: [23, 90]
Generated Node #0,0,2: 69:[23, 90] Operation: 17+73=90
Moving to Node #0,2
Current State: 69:[32, 73, 26], Operations: ['17+9=26']
Exploring Operation: 73-32=41, Resulting Numbers: [26, 41]
Generated Node #0,2,0: 69:[26, 41] Operation: 73-32=41
Exploring Operation: 32-26=6, Resulting Numbers: [73, 6]
Generated Node #0,2,1: 69:[73, 6] Operation: 32-26=6
Exploring Operation: 32+26=58, Resulting Numbers: [73, 58]
Generated Node #0,2,2: 69:[73, 58] Operation: 32+26=58
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[73, 6], Operations: ['17+9=26', '32-26=6']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,69 unequal: No Solution
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,69 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:[73, 58], Operations: ['17+9=26', '32+26=58']
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 73+58=131, Resulting Numbers: [131]
131,69 unequal: No Solution
Exploring Operation: 73*58=4234, Resulting Numbers: [4234]
4234,69 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:[26, 41], Operations: ['17+9=26', '73-32=41']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 26+41=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Exploring Operation: 26*41=1066, Resulting Numbers: [1066]
1066,69 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: 69:[9, 73, 15], Operations: ['32-17=15']
Exploring Operation: 73-9=64, Resulting Numbers: [15, 64]
Generated Node #0,1,0: 69:[15, 64] Operation: 73-9=64
Exploring Operation: 9+15=24, Resulting Numbers: [73, 24]
Generated Node #0,1,1: 69:[73, 24] Operation: 9+15=24
Exploring Operation: 15-9=6, Resulting Numbers: [73, 6]
Generated Node #0,1,2: 69:[73, 6] Operation: 15-9=6
Moving to Node #0,1,1
Current State: 69:[73, 24], Operations: ['32-17=15', '9+15=24']
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,69 unequal: No Solution
Exploring Operation: 73*24=1752, Resulting Numbers: [1752]
1752,69 unequal: No Solution
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[73, 6], Operations: ['32-9=23', '23-17=6']
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[73, 6], Operations: ['32-17=15', '15-9=6']
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,69 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[15, 64], Operations: ['32-17=15', '73-9=64']
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 15*64=960, Resulting Numbers: [960]
960,69 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[23, 56], Operations: ['32-9=23', '73-17=56']
Exploring Operation: 23+56=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Exploring Operation: 23*56=1288, Resulting Numbers: [1288]
1288,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[23, 90], Operations: ['32-9=23', '17+73=90']
Exploring Operation: 23*90=2070, Resulting Numbers: [2070]
2070,69 unequal: No Solution
Exploring Operation: 23+90=113, Resulting Numbers: [113]
113,69 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,69 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
8,
41,
33,
4
] | 100 | [
"8*33=264",
"41*4=164",
"264-164=100"
] | Current State: 100:[8, 41, 33, 4], Operations: []
Exploring Operation: 8*33=264, Resulting Numbers: [41, 4, 264]
Generated Node #2: [41, 4, 264] from Operation: 8*33=264
Current State: 100:[41, 4, 264], Operations: ['8*33=264']
Exploring Operation: 41*4=164, Resulting Numbers: [264, 164]
Generated Node #3: [264, 164] from Operation: 41*4=164
Current State: 100:[264, 164], Operations: ['8*33=264', '41*4=164']
Exploring Operation: 264-164=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[8, 41, 33, 4], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [8, 4, 8]
Generated Node #0,0: 100:[8, 4, 8] Operation: 41-33=8
Exploring Operation: 8+41=49, Resulting Numbers: [33, 4, 49]
Generated Node #0,1: 100:[33, 4, 49] Operation: 8+41=49
Exploring Operation: 41+4=45, Resulting Numbers: [8, 33, 45]
Generated Node #0,2: 100:[8, 33, 45] Operation: 41+4=45
Exploring Operation: 33-8=25, Resulting Numbers: [41, 4, 25]
Generated Node #0,3: 100:[41, 4, 25] Operation: 33-8=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[8, 4, 8], Operations: ['41-33=8']
Exploring Operation: 8/8=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 100:[4, 1] Operation: 8/8=1
Exploring Operation: 8-4=4, Resulting Numbers: [8, 4]
Generated Node #0,0,1: 100:[8, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [8, 2]
Generated Node #0,0,2: 100:[8, 2] Operation: 8/4=2
Exploring Operation: 8-8=0, Resulting Numbers: [4, 0]
Generated Node #0,0,3: 100:[4, 0] Operation: 8-8=0
Moving to Node #0,0,0
Current State: 100:[4, 1], Operations: ['41-33=8', '8/8=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[8, 2], Operations: ['41-33=8', '8/4=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[8, 4], Operations: ['41-33=8', '8-4=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[4, 0], Operations: ['41-33=8', '8-8=0']
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[33, 4, 49], Operations: ['8+41=49']
Exploring Operation: 49-33=16, Resulting Numbers: [4, 16]
Generated Node #0,1,0: 100:[4, 16] Operation: 49-33=16
Exploring Operation: 33+4=37, Resulting Numbers: [49, 37]
Generated Node #0,1,1: 100:[49, 37] Operation: 33+4=37
Exploring Operation: 33-4=29, Resulting Numbers: [49, 29]
Generated Node #0,1,2: 100:[49, 29] Operation: 33-4=29
Exploring Operation: 4+49=53, Resulting Numbers: [33, 53]
Generated Node #0,1,3: 100:[33, 53] Operation: 4+49=53
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[4, 16], Operations: ['8+41=49', '49-33=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[49, 29], Operations: ['8+41=49', '33-4=29']
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,100 unequal: No Solution
Exploring Operation: 49*29=1421, Resulting Numbers: [1421]
1421,100 unequal: No Solution
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 100:[33, 53], Operations: ['8+41=49', '4+49=53']
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,100 unequal: No Solution
Exploring Operation: 33*53=1749, Resulting Numbers: [1749]
1749,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[49, 37], Operations: ['8+41=49', '33+4=37']
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 49*37=1813, Resulting Numbers: [1813]
1813,100 unequal: No Solution
Exploring Operation: 49+37=86, Resulting Numbers: [86]
86,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[41, 4, 25], Operations: ['33-8=25']
Exploring Operation: 4*25=100, Resulting Numbers: [41, 100]
Generated Node #0,3,0: 100:[41, 100] Operation: 4*25=100
Exploring Operation: 41+4=45, Resulting Numbers: [25, 45]
Generated Node #0,3,1: 100:[25, 45] Operation: 41+4=45
Exploring Operation: 25-4=21, Resulting Numbers: [41, 21]
Generated Node #0,3,2: 100:[41, 21] Operation: 25-4=21
Exploring Operation: 41-25=16, Resulting Numbers: [4, 16]
Generated Node #0,3,3: 100:[4, 16] Operation: 41-25=16
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 100:[4, 16], Operations: ['33-8=25', '41-25=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[25, 45], Operations: ['33-8=25', '41+4=45']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 100:[41, 100], Operations: ['33-8=25', '4*25=100']
Exploring Operation: 41+100=141, Resulting Numbers: [141]
141,100 unequal: No Solution
Exploring Operation: 100-41=59, Resulting Numbers: [59]
59,100 unequal: No Solution
Exploring Operation: 41*100=4100, Resulting Numbers: [4100]
4100,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 100:[41, 21], Operations: ['33-8=25', '25-4=21']
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,100 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[8, 33, 45], Operations: ['41+4=45']
Exploring Operation: 8+45=53, Resulting Numbers: [33, 53]
Generated Node #0,2,0: 100:[33, 53] Operation: 8+45=53
Exploring Operation: 8+33=41, Resulting Numbers: [45, 41]
Generated Node #0,2,1: 100:[45, 41] Operation: 8+33=41
Exploring Operation: 33-8=25, Resulting Numbers: [45, 25]
Generated Node #0,2,2: 100:[45, 25] Operation: 33-8=25
Exploring Operation: 45-33=12, Resulting Numbers: [8, 12]
Generated Node #0,2,3: 100:[8, 12] Operation: 45-33=12
Moving to Node #0,2,3
Current State: 100:[8, 12], Operations: ['41+4=45', '45-33=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,100 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[45, 25], Operations: ['41+4=45', '33-8=25']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,100 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[33, 53], Operations: ['41+4=45', '8+45=53']
Exploring Operation: 33*53=1749, Resulting Numbers: [1749]
1749,100 unequal: No Solution
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,100 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[45, 41], Operations: ['41+4=45', '8+33=41']
Exploring Operation: 45*41=1845, Resulting Numbers: [1845]
1845,100 unequal: No Solution
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,100 unequal: No Solution
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
84,
79,
39,
14
] | 48 | [
"84-79=5",
"39+14=53",
"53-5=48"
] | Current State: 48:[84, 79, 39, 14], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [39, 14, 5]
Generated Node #2: [39, 14, 5] from Operation: 84-79=5
Current State: 48:[39, 14, 5], Operations: ['84-79=5']
Exploring Operation: 39+14=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 39+14=53
Current State: 48:[5, 53], Operations: ['84-79=5', '39+14=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[84, 79, 39, 14], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [84, 14, 40]
Generated Node #0,0: 48:[84, 14, 40] Operation: 79-39=40
Exploring Operation: 84-79=5, Resulting Numbers: [39, 14, 5]
Generated Node #0,1: 48:[39, 14, 5] Operation: 84-79=5
Exploring Operation: 84-39=45, Resulting Numbers: [79, 14, 45]
Generated Node #0,2: 48:[79, 14, 45] Operation: 84-39=45
Exploring Operation: 84/14=6, Resulting Numbers: [79, 39, 6]
Generated Node #0,3: 48:[79, 39, 6] Operation: 84/14=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[39, 14, 5], Operations: ['84-79=5']
Exploring Operation: 14-5=9, Resulting Numbers: [39, 9]
Generated Node #0,1,0: 48:[39, 9] Operation: 14-5=9
Exploring Operation: 39+14=53, Resulting Numbers: [5, 53]
Generated Node #0,1,1: 48:[5, 53] Operation: 39+14=53
Exploring Operation: 39-14=25, Resulting Numbers: [5, 25]
Generated Node #0,1,2: 48:[5, 25] Operation: 39-14=25
Exploring Operation: 39+5=44, Resulting Numbers: [14, 44]
Generated Node #0,1,3: 48:[14, 44] Operation: 39+5=44
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 48:[5, 25], Operations: ['84-79=5', '39-14=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,48 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,48 unequal: No Solution
No 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: 48:[5, 53], Operations: ['84-79=5', '39+14=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[84, 79, 39, 14], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [39, 14, 5]
Generated Node #0,1: 48:[39, 14, 5] Operation: 84-79=5
Moving to Node #0,1
Current State: 48:[39, 14, 5], Operations: ['84-79=5']
Exploring Operation: 39+14=53, Resulting Numbers: [5, 53]
Generated Node #0,1,1: 48:[5, 53] Operation: 39+14=53
Moving to Node #0,1,1
Current State: 48:[5, 53], Operations: ['84-79=5', '39+14=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
66,
22,
83,
59
] | 94 | [
"66/22=3",
"59*3=177",
"177-83=94"
] | Current State: 94:[66, 22, 83, 59], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [83, 59, 3]
Generated Node #2: [83, 59, 3] from Operation: 66/22=3
Current State: 94:[83, 59, 3], Operations: ['66/22=3']
Exploring Operation: 59*3=177, Resulting Numbers: [83, 177]
Generated Node #3: [83, 177] from Operation: 59*3=177
Current State: 94:[83, 177], Operations: ['66/22=3', '59*3=177']
Exploring Operation: 177-83=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[66, 22, 83, 59], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [83, 59, 3]
Generated Node #0,0: 94:[83, 59, 3] Operation: 66/22=3
Exploring Operation: 66-59=7, Resulting Numbers: [22, 83, 7]
Generated Node #0,1: 94:[22, 83, 7] Operation: 66-59=7
Exploring Operation: 66-22=44, Resulting Numbers: [83, 59, 44]
Generated Node #0,2: 94:[83, 59, 44] Operation: 66-22=44
Exploring Operation: 59-22=37, Resulting Numbers: [66, 83, 37]
Generated Node #0,3: 94:[66, 83, 37] Operation: 59-22=37
Exploring Operation: 66+22=88, Resulting Numbers: [83, 59, 88]
Generated Node #0,4: 94:[83, 59, 88] Operation: 66+22=88
Moving to Node #0,0
Current State: 94:[83, 59, 3], Operations: ['66/22=3']
Exploring Operation: 83-59=24, Resulting Numbers: [3, 24]
Generated Node #0,0,0: 94:[3, 24] Operation: 83-59=24
Exploring Operation: 83+3=86, Resulting Numbers: [59, 86]
Generated Node #0,0,1: 94:[59, 86] Operation: 83+3=86
Exploring Operation: 59-3=56, Resulting Numbers: [83, 56]
Generated Node #0,0,2: 94:[83, 56] Operation: 59-3=56
Exploring Operation: 83-3=80, Resulting Numbers: [59, 80]
Generated Node #0,0,3: 94:[59, 80] Operation: 83-3=80
Exploring Operation: 59+3=62, Resulting Numbers: [83, 62]
Generated Node #0,0,4: 94:[83, 62] Operation: 59+3=62
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[59, 86], Operations: ['66/22=3', '83+3=86']
Exploring Operation: 59*86=5074, Resulting Numbers: [5074]
5074,94 unequal: No Solution
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 59+86=145, Resulting Numbers: [145]
145,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[83, 56], Operations: ['66/22=3', '59-3=56']
Exploring Operation: 83*56=4648, Resulting Numbers: [4648]
4648,94 unequal: No Solution
Exploring Operation: 83+56=139, Resulting Numbers: [139]
139,94 unequal: No Solution
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[3, 24], Operations: ['66/22=3', '83-59=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,94 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,94 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[59, 80], Operations: ['66/22=3', '83-3=80']
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,94 unequal: No Solution
Exploring Operation: 59+80=139, Resulting Numbers: [139]
139,94 unequal: No Solution
Exploring Operation: 59*80=4720, Resulting Numbers: [4720]
4720,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 94:[83, 62], Operations: ['66/22=3', '59+3=62']
Exploring Operation: 83-62=21, Resulting Numbers: [21]
21,94 unequal: No Solution
Exploring Operation: 83+62=145, Resulting Numbers: [145]
145,94 unequal: No Solution
Exploring Operation: 83*62=5146, Resulting Numbers: [5146]
5146,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 94:[83, 59, 44], Operations: ['66-22=44']
Exploring Operation: 83-59=24, Resulting Numbers: [44, 24]
Generated Node #0,2,0: 94:[44, 24] Operation: 83-59=24
Exploring Operation: 83-44=39, Resulting Numbers: [59, 39]
Generated Node #0,2,1: 94:[59, 39] Operation: 83-44=39
Exploring Operation: 59+44=103, Resulting Numbers: [83, 103]
Generated Node #0,2,2: 94:[83, 103] Operation: 59+44=103
Exploring Operation: 83+44=127, Resulting Numbers: [59, 127]
Generated Node #0,2,3: 94:[59, 127] Operation: 83+44=127
Exploring Operation: 59-44=15, Resulting Numbers: [83, 15]
Generated Node #0,2,4: 94:[83, 15] Operation: 59-44=15
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[59, 39], Operations: ['66-22=44', '83-44=39']
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,94 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 59*39=2301, Resulting Numbers: [2301]
2301,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 94:[83, 103], Operations: ['66-22=44', '59+44=103']
Exploring Operation: 83*103=8549, Resulting Numbers: [8549]
8549,94 unequal: No Solution
Exploring Operation: 83+103=186, Resulting Numbers: [186]
186,94 unequal: No Solution
Exploring Operation: 103-83=20, Resulting Numbers: [20]
20,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 94:[83, 15], Operations: ['66-22=44', '59-44=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 83+15=98, Resulting Numbers: [98]
98,94 unequal: No Solution
Exploring Operation: 83*15=1245, Resulting Numbers: [1245]
1245,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[44, 24], Operations: ['66-22=44', '83-59=24']
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,94 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 94:[59, 127], Operations: ['66-22=44', '83+44=127']
Exploring Operation: 59*127=7493, Resulting Numbers: [7493]
7493,94 unequal: No Solution
Exploring Operation: 59+127=186, Resulting Numbers: [186]
186,94 unequal: No Solution
Exploring Operation: 127-59=68, Resulting Numbers: [68]
68,94 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: 94:[83, 59, 88], Operations: ['66+22=88']
Exploring Operation: 59+88=147, Resulting Numbers: [83, 147]
Generated Node #0,4,0: 94:[83, 147] Operation: 59+88=147
Exploring Operation: 83+59=142, Resulting Numbers: [88, 142]
Generated Node #0,4,1: 94:[88, 142] Operation: 83+59=142
Exploring Operation: 83-59=24, Resulting Numbers: [88, 24]
Generated Node #0,4,2: 94:[88, 24] Operation: 83-59=24
Exploring Operation: 88-59=29, Resulting Numbers: [83, 29]
Generated Node #0,4,3: 94:[83, 29] Operation: 88-59=29
Exploring Operation: 88-83=5, Resulting Numbers: [59, 5]
Generated Node #0,4,4: 94:[59, 5] Operation: 88-83=5
Moving to Node #0,1
Current State: 94:[22, 83, 7], Operations: ['66-59=7']
Exploring Operation: 83-22=61, Resulting Numbers: [7, 61]
Generated Node #0,1,0: 94:[7, 61] Operation: 83-22=61
Exploring Operation: 22+7=29, Resulting Numbers: [83, 29]
Generated Node #0,1,1: 94:[83, 29] Operation: 22+7=29
Exploring Operation: 22+83=105, Resulting Numbers: [7, 105]
Generated Node #0,1,2: 94:[7, 105] Operation: 22+83=105
Exploring Operation: 83+7=90, Resulting Numbers: [22, 90]
Generated Node #0,1,3: 94:[22, 90] Operation: 83+7=90
Exploring Operation: 22-7=15, Resulting Numbers: [83, 15]
Generated Node #0,1,4: 94:[83, 15] Operation: 22-7=15
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[7, 105], Operations: ['66-59=7', '22+83=105']
Exploring Operation: 7+105=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,94 unequal: No Solution
Exploring Operation: 105-7=98, Resulting Numbers: [98]
98,94 unequal: No Solution
Exploring Operation: 7*105=735, Resulting Numbers: [735]
735,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[7, 61], Operations: ['66-59=7', '83-22=61']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 7*61=427, Resulting Numbers: [427]
427,94 unequal: No Solution
Exploring Operation: 7+61=68, Resulting Numbers: [68]
68,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[22, 90], Operations: ['66-59=7', '83+7=90']
Exploring Operation: 22+90=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Exploring Operation: 22*90=1980, Resulting Numbers: [1980]
1980,94 unequal: No Solution
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 94:[83, 15], Operations: ['66-59=7', '22-7=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,94 unequal: No Solution
Exploring Operation: 83+15=98, Resulting Numbers: [98]
98,94 unequal: No Solution
Exploring Operation: 83*15=1245, Resulting Numbers: [1245]
1245,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[83, 29], Operations: ['66-59=7', '22+7=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 83+29=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Exploring Operation: 83*29=2407, Resulting Numbers: [2407]
2407,94 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: 94:[66, 83, 37], Operations: ['59-22=37']
Exploring Operation: 66+37=103, Resulting Numbers: [83, 103]
Generated Node #0,3,0: 94:[83, 103] Operation: 66+37=103
Exploring Operation: 66-37=29, Resulting Numbers: [83, 29]
Generated Node #0,3,1: 94:[83, 29] Operation: 66-37=29
Exploring Operation: 83-37=46, Resulting Numbers: [66, 46]
Generated Node #0,3,2: 94:[66, 46] Operation: 83-37=46
Exploring Operation: 83+37=120, Resulting Numbers: [66, 120]
Generated Node #0,3,3: 94:[66, 120] Operation: 83+37=120
Exploring Operation: 83-66=17, Resulting Numbers: [37, 17]
Generated Node #0,3,4: 94:[37, 17] Operation: 83-66=17
Moving to Node #0,4,4
Current State: 94:[59, 5], Operations: ['66+22=88', '88-83=5']
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,94 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[83, 103], Operations: ['59-22=37', '66+37=103']
Exploring Operation: 83+103=186, Resulting Numbers: [186]
186,94 unequal: No Solution
Exploring Operation: 103-83=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 83*103=8549, Resulting Numbers: [8549]
8549,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[66, 46], Operations: ['59-22=37', '83-37=46']
Exploring Operation: 66*46=3036, Resulting Numbers: [3036]
3036,94 unequal: No Solution
Exploring Operation: 66+46=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Moving to Node #0,3,4
Current State: 94:[37, 17], Operations: ['59-22=37', '83-66=17']
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,94 unequal: No Solution
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Moving to Node #0,4,2
Current State: 94:[88, 24], Operations: ['66+22=88', '83-59=24']
Exploring Operation: 88*24=2112, Resulting Numbers: [2112]
2112,94 unequal: No Solution
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 88+24=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Moving to Node #0,4,3
Current State: 94:[83, 29], Operations: ['66+22=88', '88-59=29']
Exploring Operation: 83+29=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 83*29=2407, Resulting Numbers: [2407]
2407,94 unequal: No Solution
Moving to Node #0,3,1
Current State: 94:[83, 29], Operations: ['59-22=37', '66-37=29']
Exploring Operation: 83*29=2407, Resulting Numbers: [2407]
2407,94 unequal: No Solution
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 83+29=112, Resulting Numbers: [112]
112,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[66, 120], Operations: ['59-22=37', '83+37=120']
Exploring Operation: 66*120=7920, Resulting Numbers: [7920]
7920,94 unequal: No Solution
Exploring Operation: 66+120=186, Resulting Numbers: [186]
186,94 unequal: No Solution
Exploring Operation: 120-66=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Moving to Node #0,4,1
Current State: 94:[88, 142], Operations: ['66+22=88', '83+59=142']
Exploring Operation: 88*142=12496, Resulting Numbers: [12496]
12496,94 unequal: No Solution
Exploring Operation: 88+142=230, Resulting Numbers: [230]
230,94 unequal: No Solution
Exploring Operation: 142-88=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Moving to Node #0,4,0
Current State: 94:[83, 147], Operations: ['66+22=88', '59+88=147']
Exploring Operation: 147-83=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 83*147=12201, Resulting Numbers: [12201]
12201,94 unequal: No Solution
Exploring Operation: 83+147=230, Resulting Numbers: [230]
230,94 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
93,
40,
33,
52
] | 33 | [
"93-40=53",
"53-52=1",
"33*1=33"
] | Current State: 33:[93, 40, 33, 52], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [33, 52, 53]
Generated Node #2: [33, 52, 53] from Operation: 93-40=53
Current State: 33:[33, 52, 53], Operations: ['93-40=53']
Exploring Operation: 53-52=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 53-52=1
Current State: 33:[33, 1], Operations: ['93-40=53', '53-52=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[93, 40, 33, 52], Operations: []
Exploring Operation: 93-40=53, Resulting Numbers: [33, 52, 53]
Generated Node #0,0: 33:[33, 52, 53] Operation: 93-40=53
Exploring Operation: 93-33=60, Resulting Numbers: [40, 52, 60]
Generated Node #0,1: 33:[40, 52, 60] Operation: 93-33=60
Exploring Operation: 52-33=19, Resulting Numbers: [93, 40, 19]
Generated Node #0,2: 33:[93, 40, 19] Operation: 52-33=19
Exploring Operation: 52-40=12, Resulting Numbers: [93, 33, 12]
Generated Node #0,3: 33:[93, 33, 12] Operation: 52-40=12
Exploring Operation: 93-52=41, Resulting Numbers: [40, 33, 41]
Generated Node #0,4: 33:[40, 33, 41] Operation: 93-52=41
Start Sub Search at level 1: Moving to Node #0,4
Current State: 33:[40, 33, 41], Operations: ['93-52=41']
Exploring Operation: 40+41=81, Resulting Numbers: [33, 81]
Generated Node #0,4,0: 33:[33, 81] Operation: 40+41=81
Exploring Operation: 41-40=1, Resulting Numbers: [33, 1]
Generated Node #0,4,1: 33:[33, 1] Operation: 41-40=1
Exploring Operation: 40-33=7, Resulting Numbers: [41, 7]
Generated Node #0,4,2: 33:[41, 7] Operation: 40-33=7
Exploring Operation: 41-33=8, Resulting Numbers: [40, 8]
Generated Node #0,4,3: 33:[40, 8] Operation: 41-33=8
Exploring Operation: 40+33=73, Resulting Numbers: [41, 73]
Generated Node #0,4,4: 33:[41, 73] Operation: 40+33=73
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 33:[33, 1], Operations: ['93-52=41', '41-40=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,33 unequal: No Solution
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[93, 40, 33, 52], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [40, 33, 41]
Generated Node #0,4: 33:[40, 33, 41] Operation: 93-52=41
Moving to Node #0,4
Current State: 33:[40, 33, 41], Operations: ['93-52=41']
Exploring Operation: 41-40=1, Resulting Numbers: [33, 1]
Generated Node #0,4,1: 33:[33, 1] Operation: 41-40=1
Moving to Node #0,4,1
Current State: 33:[33, 1], Operations: ['93-52=41', '41-40=1']
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
21,
15,
18,
17
] | 34 | [
"21+15=36",
"36/18=2",
"17*2=34"
] | Current State: 34:[21, 15, 18, 17], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [18, 17, 36]
Generated Node #2: [18, 17, 36] from Operation: 21+15=36
Current State: 34:[18, 17, 36], Operations: ['21+15=36']
Exploring Operation: 36/18=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 36/18=2
Current State: 34:[17, 2], Operations: ['21+15=36', '36/18=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[21, 15, 18, 17], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [18, 17, 36]
Generated Node #0,0: 34:[18, 17, 36] Operation: 21+15=36
Exploring Operation: 21-18=3, Resulting Numbers: [15, 17, 3]
Generated Node #0,1: 34:[15, 17, 3] Operation: 21-18=3
Exploring Operation: 21-15=6, Resulting Numbers: [18, 17, 6]
Generated Node #0,2: 34:[18, 17, 6] Operation: 21-15=6
Moving to Node #0,0
Current State: 34:[18, 17, 36], Operations: ['21+15=36']
Exploring Operation: 36/18=2, Resulting Numbers: [17, 2]
Generated Node #0,0,0: 34:[17, 2] Operation: 36/18=2
Exploring Operation: 36-18=18, Resulting Numbers: [17, 18]
Generated Node #0,0,1: 34:[17, 18] Operation: 36-18=18
Exploring Operation: 18+17=35, Resulting Numbers: [36, 35]
Generated Node #0,0,2: 34:[36, 35] Operation: 18+17=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[17, 2], Operations: ['21+15=36', '36/18=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[21, 15, 18, 17], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [18, 17, 36]
Generated Node #0,0: 34:[18, 17, 36] Operation: 21+15=36
Moving to Node #0,0
Current State: 34:[18, 17, 36], Operations: ['21+15=36']
Exploring Operation: 36/18=2, Resulting Numbers: [17, 2]
Generated Node #0,0,0: 34:[17, 2] Operation: 36/18=2
Moving to Node #0,0,0
Current State: 34:[17, 2], Operations: ['21+15=36', '36/18=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
1,
58,
54,
63
] | 66 | [
"58-1=57",
"63-54=9",
"57+9=66"
] | Current State: 66:[1, 58, 54, 63], Operations: []
Exploring Operation: 58-1=57, Resulting Numbers: [54, 63, 57]
Generated Node #2: [54, 63, 57] from Operation: 58-1=57
Current State: 66:[54, 63, 57], Operations: ['58-1=57']
Exploring Operation: 63-54=9, Resulting Numbers: [57, 9]
Generated Node #3: [57, 9] from Operation: 63-54=9
Current State: 66:[57, 9], Operations: ['58-1=57', '63-54=9']
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[1, 58, 54, 63], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [1, 58, 9]
Generated Node #0,0: 66:[1, 58, 9] Operation: 63-54=9
Exploring Operation: 63-58=5, Resulting Numbers: [1, 54, 5]
Generated Node #0,1: 66:[1, 54, 5] Operation: 63-58=5
Exploring Operation: 58-54=4, Resulting Numbers: [1, 63, 4]
Generated Node #0,2: 66:[1, 63, 4] Operation: 58-54=4
Moving to Node #0,2
Current State: 66:[1, 63, 4], Operations: ['58-54=4']
Exploring Operation: 1+63=64, Resulting Numbers: [4, 64]
Generated Node #0,2,0: 66:[4, 64] Operation: 1+63=64
Exploring Operation: 4-1=3, Resulting Numbers: [63, 3]
Generated Node #0,2,1: 66:[63, 3] Operation: 4-1=3
Exploring Operation: 63+4=67, Resulting Numbers: [1, 67]
Generated Node #0,2,2: 66:[1, 67] Operation: 63+4=67
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 66:[1, 67], Operations: ['58-54=4', '63+4=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[1, 58, 54, 63], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [1, 63, 4]
Generated Node #0,2: 66:[1, 63, 4] Operation: 58-54=4
Moving to Node #0,2
Current State: 66:[1, 63, 4], Operations: ['58-54=4']
Exploring Operation: 63+4=67, Resulting Numbers: [1, 67]
Generated Node #0,2,2: 66:[1, 67] Operation: 63+4=67
Moving to Node #0,2,2
Current State: 66:[1, 67], Operations: ['58-54=4', '63+4=67']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
90,
9,
25,
93
] | 37 | [
"90-9=81",
"25+93=118",
"118-81=37"
] | Current State: 37:[90, 9, 25, 93], Operations: []
Exploring Operation: 90-9=81, Resulting Numbers: [25, 93, 81]
Generated Node #2: [25, 93, 81] from Operation: 90-9=81
Current State: 37:[25, 93, 81], Operations: ['90-9=81']
Exploring Operation: 25+93=118, Resulting Numbers: [81, 118]
Generated Node #3: [81, 118] from Operation: 25+93=118
Current State: 37:[81, 118], Operations: ['90-9=81', '25+93=118']
Exploring Operation: 118-81=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[90, 9, 25, 93], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [25, 93, 10]
Generated Node #0,0: 37:[25, 93, 10] Operation: 90/9=10
Exploring Operation: 93-90=3, Resulting Numbers: [9, 25, 3]
Generated Node #0,1: 37:[9, 25, 3] Operation: 93-90=3
Exploring Operation: 90-9=81, Resulting Numbers: [25, 93, 81]
Generated Node #0,2: 37:[25, 93, 81] Operation: 90-9=81
Exploring Operation: 9+25=34, Resulting Numbers: [90, 93, 34]
Generated Node #0,3: 37:[90, 93, 34] Operation: 9+25=34
Exploring Operation: 90-25=65, Resulting Numbers: [9, 93, 65]
Generated Node #0,4: 37:[9, 93, 65] Operation: 90-25=65
Moving to Node #0,1
Current State: 37:[9, 25, 3], Operations: ['93-90=3']
Exploring Operation: 9*3=27, Resulting Numbers: [25, 27]
Generated Node #0,1,0: 37:[25, 27] Operation: 9*3=27
Exploring Operation: 9+25=34, Resulting Numbers: [3, 34]
Generated Node #0,1,1: 37:[3, 34] Operation: 9+25=34
Exploring Operation: 9+3=12, Resulting Numbers: [25, 12]
Generated Node #0,1,2: 37:[25, 12] Operation: 9+3=12
Exploring Operation: 9-3=6, Resulting Numbers: [25, 6]
Generated Node #0,1,3: 37:[25, 6] Operation: 9-3=6
Exploring Operation: 25+3=28, Resulting Numbers: [9, 28]
Generated Node #0,1,4: 37:[9, 28] Operation: 25+3=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[25, 27], Operations: ['93-90=3', '9*3=27']
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,37 unequal: No Solution
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,37 unequal: No Solution
Exploring Operation: 27-25=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[3, 34], Operations: ['93-90=3', '9+25=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[90, 9, 25, 93], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [9, 25, 3]
Generated Node #0,1: 37:[9, 25, 3] Operation: 93-90=3
Moving to Node #0,1
Current State: 37:[9, 25, 3], Operations: ['93-90=3']
Exploring Operation: 9+25=34, Resulting Numbers: [3, 34]
Generated Node #0,1,1: 37:[3, 34] Operation: 9+25=34
Moving to Node #0,1,1
Current State: 37:[3, 34], Operations: ['93-90=3', '9+25=34']
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
37,
43,
55,
37
] | 13 | [
"37/37=1",
"55-43=12",
"1+12=13"
] | Current State: 13:[37, 43, 55, 37], Operations: []
Exploring Operation: 37/37=1, Resulting Numbers: [43, 55, 1]
Generated Node #2: [43, 55, 1] from Operation: 37/37=1
Current State: 13:[43, 55, 1], Operations: ['37/37=1']
Exploring Operation: 55-43=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 55-43=12
Current State: 13:[1, 12], Operations: ['37/37=1', '55-43=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[37, 43, 55, 37], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [43, 37, 18]
Generated Node #0,0: 13:[43, 37, 18] Operation: 55-37=18
Exploring Operation: 43-37=6, Resulting Numbers: [37, 55, 6]
Generated Node #0,1: 13:[37, 55, 6] Operation: 43-37=6
Exploring Operation: 43-37=6, Resulting Numbers: [55, 37, 6]
Generated Node #0,2: 13:[55, 37, 6] Operation: 43-37=6
Exploring Operation: 55-37=18, Resulting Numbers: [37, 43, 18]
Generated Node #0,3: 13:[37, 43, 18] Operation: 55-37=18
Exploring Operation: 55-43=12, Resulting Numbers: [37, 37, 12]
Generated Node #0,4: 13:[37, 37, 12] Operation: 55-43=12
Start Sub Search at level 1: Moving to Node #0,4
Current State: 13:[37, 37, 12], Operations: ['55-43=12']
Exploring Operation: 37-12=25, Resulting Numbers: [37, 25]
Generated Node #0,4,0: 13:[37, 25] Operation: 37-12=25
Exploring Operation: 37/37=1, Resulting Numbers: [12, 1]
Generated Node #0,4,1: 13:[12, 1] Operation: 37/37=1
Exploring Operation: 37-12=25, Resulting Numbers: [37, 25]
Generated Node #0,4,2: 13:[37, 25] Operation: 37-12=25
Exploring Operation: 37-37=0, Resulting Numbers: [12, 0]
Generated Node #0,4,3: 13:[12, 0] Operation: 37-37=0
Exploring Operation: 37+12=49, Resulting Numbers: [37, 49]
Generated Node #0,4,4: 13:[37, 49] Operation: 37+12=49
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 13:[12, 1], Operations: ['55-43=12', '37/37=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[37, 43, 55, 37], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [37, 37, 12]
Generated Node #0,4: 13:[37, 37, 12] Operation: 55-43=12
Moving to Node #0,4
Current State: 13:[37, 37, 12], Operations: ['55-43=12']
Exploring Operation: 37/37=1, Resulting Numbers: [12, 1]
Generated Node #0,4,1: 13:[12, 1] Operation: 37/37=1
Moving to Node #0,4,1
Current State: 13:[12, 1], Operations: ['55-43=12', '37/37=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
57,
80,
2,
98
] | 59 | [
"57+80=137",
"2*98=196",
"196-137=59"
] | Current State: 59:[57, 80, 2, 98], Operations: []
Exploring Operation: 57+80=137, Resulting Numbers: [2, 98, 137]
Generated Node #2: [2, 98, 137] from Operation: 57+80=137
Current State: 59:[2, 98, 137], Operations: ['57+80=137']
Exploring Operation: 2*98=196, Resulting Numbers: [137, 196]
Generated Node #3: [137, 196] from Operation: 2*98=196
Current State: 59:[137, 196], Operations: ['57+80=137', '2*98=196']
Exploring Operation: 196-137=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[57, 80, 2, 98], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [57, 80, 49]
Generated Node #0,0: 59:[57, 80, 49] Operation: 98/2=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[57, 80, 49], Operations: ['98/2=49']
Exploring Operation: 80-49=31, Resulting Numbers: [57, 31]
Generated Node #0,0,0: 59:[57, 31] Operation: 80-49=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[57, 31], Operations: ['98/2=49', '80-49=31']
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,59 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 |
[
70,
64,
28,
59
] | 14 | [
"64-59=5",
"70/5=14",
"28-14=14"
] | Current State: 14:[70, 64, 28, 59], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [70, 28, 5]
Generated Node #2: [70, 28, 5] from Operation: 64-59=5
Current State: 14:[70, 28, 5], Operations: ['64-59=5']
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #3: [28, 14] from Operation: 70/5=14
Current State: 14:[28, 14], Operations: ['64-59=5', '70/5=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[70, 64, 28, 59], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [70, 28, 5]
Generated Node #0,0: 14:[70, 28, 5] Operation: 64-59=5
Exploring Operation: 70-64=6, Resulting Numbers: [28, 59, 6]
Generated Node #0,1: 14:[28, 59, 6] Operation: 70-64=6
Exploring Operation: 70-28=42, Resulting Numbers: [64, 59, 42]
Generated Node #0,2: 14:[64, 59, 42] Operation: 70-28=42
Exploring Operation: 70-59=11, Resulting Numbers: [64, 28, 11]
Generated Node #0,3: 14:[64, 28, 11] Operation: 70-59=11
Exploring Operation: 64-28=36, Resulting Numbers: [70, 59, 36]
Generated Node #0,4: 14:[70, 59, 36] Operation: 64-28=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[28, 59, 6], Operations: ['70-64=6']
Exploring Operation: 59+6=65, Resulting Numbers: [28, 65]
Generated Node #0,1,0: 14:[28, 65] Operation: 59+6=65
Exploring Operation: 28-6=22, Resulting Numbers: [59, 22]
Generated Node #0,1,1: 14:[59, 22] Operation: 28-6=22
Exploring Operation: 59-28=31, Resulting Numbers: [6, 31]
Generated Node #0,1,2: 14:[6, 31] Operation: 59-28=31
Exploring Operation: 28+6=34, Resulting Numbers: [59, 34]
Generated Node #0,1,3: 14:[59, 34] Operation: 28+6=34
Exploring Operation: 59-6=53, Resulting Numbers: [28, 53]
Generated Node #0,1,4: 14:[28, 53] Operation: 59-6=53
Moving to Node #0,1,2
Current State: 14:[6, 31], Operations: ['70-64=6', '59-28=31']
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,14 unequal: No Solution
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Moving to Node #0,1,4
Current State: 14:[28, 53], Operations: ['70-64=6', '59-6=53']
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,14 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[59, 22], Operations: ['70-64=6', '28-6=22']
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,14 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[28, 65], Operations: ['70-64=6', '59+6=65']
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 28*65=1820, Resulting Numbers: [1820]
1820,14 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[59, 34], Operations: ['70-64=6', '28+6=34']
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,14 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[64, 28, 11], Operations: ['70-59=11']
Exploring Operation: 64-28=36, Resulting Numbers: [11, 36]
Generated Node #0,3,0: 14:[11, 36] Operation: 64-28=36
Exploring Operation: 64+11=75, Resulting Numbers: [28, 75]
Generated Node #0,3,1: 14:[28, 75] Operation: 64+11=75
Exploring Operation: 28+11=39, Resulting Numbers: [64, 39]
Generated Node #0,3,2: 14:[64, 39] Operation: 28+11=39
Exploring Operation: 64-11=53, Resulting Numbers: [28, 53]
Generated Node #0,3,3: 14:[28, 53] Operation: 64-11=53
Exploring Operation: 28-11=17, Resulting Numbers: [64, 17]
Generated Node #0,3,4: 14:[64, 17] Operation: 28-11=17
Moving to Node #0,3,0
Current State: 14:[11, 36], Operations: ['70-59=11', '64-28=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,14 unequal: No Solution
Moving to Node #0,3,4
Current State: 14:[64, 17], Operations: ['70-59=11', '28-11=17']
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,14 unequal: No Solution
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[28, 53], Operations: ['70-59=11', '64-11=53']
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,14 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[28, 75], Operations: ['70-59=11', '64+11=75']
Exploring Operation: 28*75=2100, Resulting Numbers: [2100]
2100,14 unequal: No Solution
Exploring Operation: 28+75=103, Resulting Numbers: [103]
103,14 unequal: No Solution
Exploring Operation: 75-28=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[64, 39], Operations: ['70-59=11', '28+11=39']
Exploring Operation: 64*39=2496, Resulting Numbers: [2496]
2496,14 unequal: No Solution
Exploring Operation: 64+39=103, Resulting Numbers: [103]
103,14 unequal: No Solution
Exploring Operation: 64-39=25, Resulting Numbers: [25]
25,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[70, 28, 5], Operations: ['64-59=5']
Exploring Operation: 70+5=75, Resulting Numbers: [28, 75]
Generated Node #0,0,0: 14:[28, 75] Operation: 70+5=75
Exploring Operation: 70-28=42, Resulting Numbers: [5, 42]
Generated Node #0,0,1: 14:[5, 42] Operation: 70-28=42
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #0,0,2: 14:[28, 14] Operation: 70/5=14
Exploring Operation: 70-5=65, Resulting Numbers: [28, 65]
Generated Node #0,0,3: 14:[28, 65] Operation: 70-5=65
Exploring Operation: 28-5=23, Resulting Numbers: [70, 23]
Generated Node #0,0,4: 14:[70, 23] Operation: 28-5=23
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 14:[28, 14], Operations: ['64-59=5', '70/5=14']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[70, 64, 28, 59], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [70, 28, 5]
Generated Node #0,0: 14:[70, 28, 5] Operation: 64-59=5
Moving to Node #0,0
Current State: 14:[70, 28, 5], Operations: ['64-59=5']
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #0,0,2: 14:[28, 14] Operation: 70/5=14
Moving to Node #0,0,2
Current State: 14:[28, 14], Operations: ['64-59=5', '70/5=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.951389 | hs_5 | sum_heuristic |
[
85,
69,
13,
55
] | 97 | [
"69-55=14",
"13*14=182",
"182-85=97"
] | Current State: 97:[85, 69, 13, 55], Operations: []
Exploring Operation: 69-55=14, Resulting Numbers: [85, 13, 14]
Generated Node #2: [85, 13, 14] from Operation: 69-55=14
Current State: 97:[85, 13, 14], Operations: ['69-55=14']
Exploring Operation: 13*14=182, Resulting Numbers: [85, 182]
Generated Node #3: [85, 182] from Operation: 13*14=182
Current State: 97:[85, 182], Operations: ['69-55=14', '13*14=182']
Exploring Operation: 182-85=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[85, 69, 13, 55], Operations: []
Exploring Operation: 69+13=82, Resulting Numbers: [85, 55, 82]
Generated Node #0,0: 97:[85, 55, 82] Operation: 69+13=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[85, 55, 82], Operations: ['69+13=82']
Exploring Operation: 55+82=137, Resulting Numbers: [85, 137]
Generated Node #0,0,0: 97:[85, 137] Operation: 55+82=137
Moving to Node #0,0,0
Current State: 97:[85, 137], Operations: ['69+13=82', '55+82=137']
Exploring Operation: 137-85=52, Resulting Numbers: [52]
52,97 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 |
[
83,
63,
32,
96
] | 84 | [
"83-63=20",
"96-32=64",
"20+64=84"
] | Current State: 84:[83, 63, 32, 96], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [32, 96, 20]
Generated Node #2: [32, 96, 20] from Operation: 83-63=20
Current State: 84:[32, 96, 20], Operations: ['83-63=20']
Exploring Operation: 96-32=64, Resulting Numbers: [20, 64]
Generated Node #3: [20, 64] from Operation: 96-32=64
Current State: 84:[20, 64], Operations: ['83-63=20', '96-32=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[83, 63, 32, 96], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [83, 32, 33]
Generated Node #0,0: 84:[83, 32, 33] Operation: 96-63=33
Exploring Operation: 63+32=95, Resulting Numbers: [83, 96, 95]
Generated Node #0,1: 84:[83, 96, 95] Operation: 63+32=95
Exploring Operation: 96/32=3, Resulting Numbers: [83, 63, 3]
Generated Node #0,2: 84:[83, 63, 3] Operation: 96/32=3
Exploring Operation: 63-32=31, Resulting Numbers: [83, 96, 31]
Generated Node #0,3: 84:[83, 96, 31] Operation: 63-32=31
Exploring Operation: 83-63=20, Resulting Numbers: [32, 96, 20]
Generated Node #0,4: 84:[32, 96, 20] Operation: 83-63=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[83, 32, 33], Operations: ['96-63=33']
Exploring Operation: 83-33=50, Resulting Numbers: [32, 50]
Generated Node #0,0,0: 84:[32, 50] Operation: 83-33=50
Exploring Operation: 32+33=65, Resulting Numbers: [83, 65]
Generated Node #0,0,1: 84:[83, 65] Operation: 32+33=65
Exploring Operation: 83-32=51, Resulting Numbers: [33, 51]
Generated Node #0,0,2: 84:[33, 51] Operation: 83-32=51
Exploring Operation: 83+32=115, Resulting Numbers: [33, 115]
Generated Node #0,0,3: 84:[33, 115] Operation: 83+32=115
Exploring Operation: 33-32=1, Resulting Numbers: [83, 1]
Generated Node #0,0,4: 84:[83, 1] Operation: 33-32=1
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 84:[83, 1], Operations: ['96-63=33', '33-32=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[83, 63, 32, 96], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [83, 32, 33]
Generated Node #0,0: 84:[83, 32, 33] Operation: 96-63=33
Moving to Node #0,0
Current State: 84:[83, 32, 33], Operations: ['96-63=33']
Exploring Operation: 33-32=1, Resulting Numbers: [83, 1]
Generated Node #0,0,4: 84:[83, 1] Operation: 33-32=1
Moving to Node #0,0,4
Current State: 84:[83, 1], Operations: ['96-63=33', '33-32=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
2,
19,
32,
36
] | 69 | [
"36/2=18",
"19+32=51",
"18+51=69"
] | Current State: 69:[2, 19, 32, 36], Operations: []
Exploring Operation: 36/2=18, Resulting Numbers: [19, 32, 18]
Generated Node #2: [19, 32, 18] from Operation: 36/2=18
Current State: 69:[19, 32, 18], Operations: ['36/2=18']
Exploring Operation: 19+32=51, Resulting Numbers: [18, 51]
Generated Node #3: [18, 51] from Operation: 19+32=51
Current State: 69:[18, 51], Operations: ['36/2=18', '19+32=51']
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[2, 19, 32, 36], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [2, 32, 17]
Generated Node #0,0: 69:[2, 32, 17] Operation: 36-19=17
Exploring Operation: 32+36=68, Resulting Numbers: [2, 19, 68]
Generated Node #0,1: 69:[2, 19, 68] Operation: 32+36=68
Exploring Operation: 2*36=72, Resulting Numbers: [19, 32, 72]
Generated Node #0,2: 69:[19, 32, 72] Operation: 2*36=72
Exploring Operation: 36-32=4, Resulting Numbers: [2, 19, 4]
Generated Node #0,3: 69:[2, 19, 4] Operation: 36-32=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[2, 19, 68], Operations: ['32+36=68']
Exploring Operation: 2+68=70, Resulting Numbers: [19, 70]
Generated Node #0,1,0: 69:[19, 70] Operation: 2+68=70
Exploring Operation: 2+19=21, Resulting Numbers: [68, 21]
Generated Node #0,1,1: 69:[68, 21] Operation: 2+19=21
Exploring Operation: 68-2=66, Resulting Numbers: [19, 66]
Generated Node #0,1,2: 69:[19, 66] Operation: 68-2=66
Exploring Operation: 19-2=17, Resulting Numbers: [68, 17]
Generated Node #0,1,3: 69:[68, 17] Operation: 19-2=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 69:[68, 21], Operations: ['32+36=68', '2+19=21']
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,69 unequal: No Solution
Exploring Operation: 68*21=1428, Resulting Numbers: [1428]
1428,69 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 #0,1,0
Current State: 69:[19, 70], Operations: ['32+36=68', '2+68=70']
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 19*70=1330, Resulting Numbers: [1330]
1330,69 unequal: No Solution
Exploring Operation: 19+70=89, Resulting Numbers: [89]
89,69 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 #0,1,2
Current State: 69:[19, 66], Operations: ['32+36=68', '68-2=66']
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 19*66=1254, Resulting Numbers: [1254]
1254,69 unequal: No Solution
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 69:[68, 17], Operations: ['32+36=68', '19-2=17']
Exploring Operation: 68+17=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 68*17=1156, Resulting Numbers: [1156]
1156,69 unequal: No Solution
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[2, 19, 4], Operations: ['36-32=4']
Exploring Operation: 19+4=23, Resulting Numbers: [2, 23]
Generated Node #0,3,0: 69:[2, 23] Operation: 19+4=23
Exploring Operation: 4/2=2, Resulting Numbers: [19, 2]
Generated Node #0,3,1: 69:[19, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [19, 2]
Generated Node #0,3,2: 69:[19, 2] Operation: 4-2=2
Exploring Operation: 2+19=21, Resulting Numbers: [4, 21]
Generated Node #0,3,3: 69:[4, 21] Operation: 2+19=21
Moving to Node #0,3,0
Current State: 69:[2, 23], Operations: ['36-32=4', '19+4=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,69 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[4, 21], Operations: ['36-32=4', '2+19=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[19, 2], Operations: ['36-32=4', '4-2=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[19, 2], Operations: ['36-32=4', '4/2=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 19-2=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 #0,0
Current State: 69:[2, 32, 17], Operations: ['36-19=17']
Exploring Operation: 32-2=30, Resulting Numbers: [17, 30]
Generated Node #0,0,0: 69:[17, 30] Operation: 32-2=30
Exploring Operation: 32/2=16, Resulting Numbers: [17, 16]
Generated Node #0,0,1: 69:[17, 16] Operation: 32/2=16
Exploring Operation: 2*32=64, Resulting Numbers: [17, 64]
Generated Node #0,0,2: 69:[17, 64] Operation: 2*32=64
Exploring Operation: 32-17=15, Resulting Numbers: [2, 15]
Generated Node #0,0,3: 69:[2, 15] Operation: 32-17=15
Moving to Node #0,0,3
Current State: 69:[2, 15], Operations: ['36-19=17', '32-17=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[17, 64], Operations: ['36-19=17', '2*32=64']
Exploring Operation: 17*64=1088, Resulting Numbers: [1088]
1088,69 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[17, 16], Operations: ['36-19=17', '32/2=16']
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,69 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[17, 30], Operations: ['36-19=17', '32-2=30']
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 17*30=510, Resulting Numbers: [510]
510,69 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,69 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
Current State: 69:[19, 32, 72], Operations: ['2*36=72']
Exploring Operation: 32-19=13, Resulting Numbers: [72, 13]
Generated Node #0,2,0: 69:[72, 13] Operation: 32-19=13
Exploring Operation: 72-32=40, Resulting Numbers: [19, 40]
Generated Node #0,2,1: 69:[19, 40] Operation: 72-32=40
Exploring Operation: 72-19=53, Resulting Numbers: [32, 53]
Generated Node #0,2,2: 69:[32, 53] Operation: 72-19=53
Exploring Operation: 19+32=51, Resulting Numbers: [72, 51]
Generated Node #0,2,3: 69:[72, 51] Operation: 19+32=51
Moving to Node #0,2,0
Current State: 69:[72, 13], Operations: ['2*36=72', '32-19=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,69 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[72, 51], Operations: ['2*36=72', '19+32=51']
Exploring Operation: 72*51=3672, Resulting Numbers: [3672]
3672,69 unequal: No Solution
Exploring Operation: 72+51=123, Resulting Numbers: [123]
123,69 unequal: No Solution
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[19, 40], Operations: ['2*36=72', '72-32=40']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,69 unequal: No Solution
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[32, 53], Operations: ['2*36=72', '72-19=53']
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 32*53=1696, Resulting Numbers: [1696]
1696,69 unequal: No Solution
Exploring Operation: 32+53=85, Resulting Numbers: [85]
85,69 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 |
[
9,
44,
77,
2
] | 87 | [
"9+77=86",
"86/2=43",
"44+43=87"
] | Current State: 87:[9, 44, 77, 2], Operations: []
Exploring Operation: 9+77=86, Resulting Numbers: [44, 2, 86]
Generated Node #2: [44, 2, 86] from Operation: 9+77=86
Current State: 87:[44, 2, 86], Operations: ['9+77=86']
Exploring Operation: 86/2=43, Resulting Numbers: [44, 43]
Generated Node #3: [44, 43] from Operation: 86/2=43
Current State: 87:[44, 43], Operations: ['9+77=86', '86/2=43']
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[9, 44, 77, 2], Operations: []
Exploring Operation: 77-44=33, Resulting Numbers: [9, 2, 33]
Generated Node #0,0: 87:[9, 2, 33] Operation: 77-44=33
Exploring Operation: 44-9=35, Resulting Numbers: [77, 2, 35]
Generated Node #0,1: 87:[77, 2, 35] Operation: 44-9=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[9, 2, 33], Operations: ['77-44=33']
Exploring Operation: 9-2=7, Resulting Numbers: [33, 7]
Generated Node #0,0,0: 87:[33, 7] Operation: 9-2=7
Exploring Operation: 33-9=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 87:[2, 24] Operation: 33-9=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[2, 24], Operations: ['77-44=33', '33-9=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,87 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:[33, 7], Operations: ['77-44=33', '9-2=7']
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,87 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,87 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:[77, 2, 35], Operations: ['44-9=35']
Exploring Operation: 77-35=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 87:[2, 42] Operation: 77-35=42
Exploring Operation: 77+2=79, Resulting Numbers: [35, 79]
Generated Node #0,1,1: 87:[35, 79] Operation: 77+2=79
Moving to Node #0,1,0
Current State: 87:[2, 42], Operations: ['44-9=35', '77-35=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,87 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[35, 79], Operations: ['44-9=35', '77+2=79']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 35+79=114, Resulting Numbers: [114]
114,87 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 |
[
33,
12,
9,
7
] | 90 | [
"33+12=45",
"9-7=2",
"45*2=90"
] | Current State: 90:[33, 12, 9, 7], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [9, 7, 45]
Generated Node #2: [9, 7, 45] from Operation: 33+12=45
Current State: 90:[9, 7, 45], Operations: ['33+12=45']
Exploring Operation: 9-7=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 9-7=2
Current State: 90:[45, 2], Operations: ['33+12=45', '9-7=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[33, 12, 9, 7], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [9, 7, 45]
Generated Node #0,0: 90:[9, 7, 45] Operation: 33+12=45
Moving to Node #0,0
Current State: 90:[9, 7, 45], Operations: ['33+12=45']
Exploring Operation: 9-7=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 90:[45, 2] Operation: 9-7=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[45, 2], Operations: ['33+12=45', '9-7=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[33, 12, 9, 7], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [9, 7, 45]
Generated Node #0,0: 90:[9, 7, 45] Operation: 33+12=45
Moving to Node #0,0
Current State: 90:[9, 7, 45], Operations: ['33+12=45']
Exploring Operation: 9-7=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 90:[45, 2] Operation: 9-7=2
Moving to Node #0,0,0
Current State: 90:[45, 2], Operations: ['33+12=45', '9-7=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
13,
41,
89,
7
] | 85 | [
"41-13=28",
"28/7=4",
"89-4=85"
] | Current State: 85:[13, 41, 89, 7], Operations: []
Exploring Operation: 41-13=28, Resulting Numbers: [89, 7, 28]
Generated Node #2: [89, 7, 28] from Operation: 41-13=28
Current State: 85:[89, 7, 28], Operations: ['41-13=28']
Exploring Operation: 28/7=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 28/7=4
Current State: 85:[89, 4], Operations: ['41-13=28', '28/7=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[13, 41, 89, 7], Operations: []
Exploring Operation: 89-7=82, Resulting Numbers: [13, 41, 82]
Generated Node #0,0: 85:[13, 41, 82] Operation: 89-7=82
Exploring Operation: 41-13=28, Resulting Numbers: [89, 7, 28]
Generated Node #0,1: 85:[89, 7, 28] Operation: 41-13=28
Exploring Operation: 13-7=6, Resulting Numbers: [41, 89, 6]
Generated Node #0,2: 85:[41, 89, 6] Operation: 13-7=6
Exploring Operation: 41-7=34, Resulting Numbers: [13, 89, 34]
Generated Node #0,3: 85:[13, 89, 34] Operation: 41-7=34
Exploring Operation: 13+7=20, Resulting Numbers: [41, 89, 20]
Generated Node #0,4: 85:[41, 89, 20] Operation: 13+7=20
Moving to Node #0,1
Current State: 85:[89, 7, 28], Operations: ['41-13=28']
Exploring Operation: 89-7=82, Resulting Numbers: [28, 82]
Generated Node #0,1,0: 85:[28, 82] Operation: 89-7=82
Exploring Operation: 28/7=4, Resulting Numbers: [89, 4]
Generated Node #0,1,1: 85:[89, 4] Operation: 28/7=4
Exploring Operation: 7+28=35, Resulting Numbers: [89, 35]
Generated Node #0,1,2: 85:[89, 35] Operation: 7+28=35
Exploring Operation: 89+7=96, Resulting Numbers: [28, 96]
Generated Node #0,1,3: 85:[28, 96] Operation: 89+7=96
Exploring Operation: 28-7=21, Resulting Numbers: [89, 21]
Generated Node #0,1,4: 85:[89, 21] Operation: 28-7=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[89, 4], Operations: ['41-13=28', '28/7=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,85 unequal: No Solution
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[13, 41, 89, 7], Operations: []
Exploring Operation: 41-13=28, Resulting Numbers: [89, 7, 28]
Generated Node #0,1: 85:[89, 7, 28] Operation: 41-13=28
Moving to Node #0,1
Current State: 85:[89, 7, 28], Operations: ['41-13=28']
Exploring Operation: 28/7=4, Resulting Numbers: [89, 4]
Generated Node #0,1,1: 85:[89, 4] Operation: 28/7=4
Moving to Node #0,1,1
Current State: 85:[89, 4], Operations: ['41-13=28', '28/7=4']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
61,
47,
66,
7
] | 82 | [
"66-61=5",
"7*5=35",
"47+35=82"
] | Current State: 82:[61, 47, 66, 7], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [47, 7, 5]
Generated Node #2: [47, 7, 5] from Operation: 66-61=5
Current State: 82:[47, 7, 5], Operations: ['66-61=5']
Exploring Operation: 7*5=35, Resulting Numbers: [47, 35]
Generated Node #3: [47, 35] from Operation: 7*5=35
Current State: 82:[47, 35], Operations: ['66-61=5', '7*5=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[61, 47, 66, 7], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [47, 7, 5]
Generated Node #0,0: 82:[47, 7, 5] Operation: 66-61=5
Exploring Operation: 61-47=14, Resulting Numbers: [66, 7, 14]
Generated Node #0,1: 82:[66, 7, 14] Operation: 61-47=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[47, 7, 5], Operations: ['66-61=5']
Exploring Operation: 47-5=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 82:[7, 42] Operation: 47-5=42
Exploring Operation: 47-7=40, Resulting Numbers: [5, 40]
Generated Node #0,0,1: 82:[5, 40] Operation: 47-7=40
Moving to Node #0,0,1
Current State: 82:[5, 40], Operations: ['66-61=5', '47-7=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[7, 42], Operations: ['66-61=5', '47-5=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[66, 7, 14], Operations: ['61-47=14']
Exploring Operation: 66+14=80, Resulting Numbers: [7, 80]
Generated Node #0,1,0: 82:[7, 80] Operation: 66+14=80
Exploring Operation: 66-14=52, Resulting Numbers: [7, 52]
Generated Node #0,1,1: 82:[7, 52] Operation: 66-14=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[7, 80], Operations: ['61-47=14', '66+14=80']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,82 unequal: No Solution
Exploring Operation: 7+80=87, Resulting Numbers: [87]
87,82 unequal: No Solution
No 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: 82:[7, 52], Operations: ['61-47=14', '66-14=52']
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,82 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,82 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 |
[
47,
4,
24,
7
] | 34 | [
"47+4=51",
"24-7=17",
"51-17=34"
] | Current State: 34:[47, 4, 24, 7], Operations: []
Exploring Operation: 47+4=51, Resulting Numbers: [24, 7, 51]
Generated Node #2: [24, 7, 51] from Operation: 47+4=51
Current State: 34:[24, 7, 51], Operations: ['47+4=51']
Exploring Operation: 24-7=17, Resulting Numbers: [51, 17]
Generated Node #3: [51, 17] from Operation: 24-7=17
Current State: 34:[51, 17], Operations: ['47+4=51', '24-7=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[47, 4, 24, 7], Operations: []
Exploring Operation: 47-24=23, Resulting Numbers: [4, 7, 23]
Generated Node #0,0: 34:[4, 7, 23] Operation: 47-24=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[4, 7, 23], Operations: ['47-24=23']
Exploring Operation: 23-7=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 34:[4, 16] Operation: 23-7=16
Moving to Node #0,0,0
Current State: 34:[4, 16], Operations: ['47-24=23', '23-7=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
5,
51,
32
] | 93 | [
"2*5=10",
"51+32=83",
"10+83=93"
] | Current State: 93:[2, 5, 51, 32], Operations: []
Exploring Operation: 2*5=10, Resulting Numbers: [51, 32, 10]
Generated Node #2: [51, 32, 10] from Operation: 2*5=10
Current State: 93:[51, 32, 10], Operations: ['2*5=10']
Exploring Operation: 51+32=83, Resulting Numbers: [10, 83]
Generated Node #3: [10, 83] from Operation: 51+32=83
Current State: 93:[10, 83], Operations: ['2*5=10', '51+32=83']
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[2, 5, 51, 32], Operations: []
Exploring Operation: 51+32=83, Resulting Numbers: [2, 5, 83]
Generated Node #0,0: 93:[2, 5, 83] Operation: 51+32=83
Exploring Operation: 2*51=102, Resulting Numbers: [5, 32, 102]
Generated Node #0,1: 93:[5, 32, 102] Operation: 2*51=102
Moving to Node #0,1
Current State: 93:[5, 32, 102], Operations: ['2*51=102']
Exploring Operation: 102-5=97, Resulting Numbers: [32, 97]
Generated Node #0,1,0: 93:[32, 97] Operation: 102-5=97
Exploring Operation: 32-5=27, Resulting Numbers: [102, 27]
Generated Node #0,1,1: 93:[102, 27] Operation: 32-5=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[32, 97], Operations: ['2*51=102', '102-5=97']
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,93 unequal: No Solution
Exploring Operation: 32+97=129, Resulting Numbers: [129]
129,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[102, 27], Operations: ['2*51=102', '32-5=27']
Exploring Operation: 102+27=129, Resulting Numbers: [129]
129,93 unequal: No Solution
Exploring Operation: 102-27=75, Resulting Numbers: [75]
75,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 93:[2, 5, 83], Operations: ['51+32=83']
Exploring Operation: 5+83=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 93:[2, 88] Operation: 5+83=88
Exploring Operation: 5-2=3, Resulting Numbers: [83, 3]
Generated Node #0,0,1: 93:[83, 3] Operation: 5-2=3
Moving to Node #0,0,0
Current State: 93:[2, 88], Operations: ['51+32=83', '5+83=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[83, 3], Operations: ['51+32=83', '5-2=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,93 unequal: No Solution
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
44,
60,
6,
90
] | 69 | [
"60+90=150",
"150/6=25",
"44+25=69"
] | Current State: 69:[44, 60, 6, 90], Operations: []
Exploring Operation: 60+90=150, Resulting Numbers: [44, 6, 150]
Generated Node #2: [44, 6, 150] from Operation: 60+90=150
Current State: 69:[44, 6, 150], Operations: ['60+90=150']
Exploring Operation: 150/6=25, Resulting Numbers: [44, 25]
Generated Node #3: [44, 25] from Operation: 150/6=25
Current State: 69:[44, 25], Operations: ['60+90=150', '150/6=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[44, 60, 6, 90], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [6, 90, 16]
Generated Node #0,0: 69:[6, 90, 16] Operation: 60-44=16
Exploring Operation: 90-44=46, Resulting Numbers: [60, 6, 46]
Generated Node #0,1: 69:[60, 6, 46] Operation: 90-44=46
Exploring Operation: 90-60=30, Resulting Numbers: [44, 6, 30]
Generated Node #0,2: 69:[44, 6, 30] Operation: 90-60=30
Moving to Node #0,0
Current State: 69:[6, 90, 16], Operations: ['60-44=16']
Exploring Operation: 90-6=84, Resulting Numbers: [16, 84]
Generated Node #0,0,0: 69:[16, 84] Operation: 90-6=84
Exploring Operation: 90-16=74, Resulting Numbers: [6, 74]
Generated Node #0,0,1: 69:[6, 74] Operation: 90-16=74
Exploring Operation: 90/6=15, Resulting Numbers: [16, 15]
Generated Node #0,0,2: 69:[16, 15] Operation: 90/6=15
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[6, 74], Operations: ['60-44=16', '90-16=74']
Exploring Operation: 6*74=444, Resulting Numbers: [444]
444,69 unequal: No Solution
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 6+74=80, Resulting Numbers: [80]
80,69 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:[16, 15], Operations: ['60-44=16', '90/6=15']
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,69 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,69 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 #0,0,0
Current State: 69:[16, 84], Operations: ['60-44=16', '90-6=84']
Exploring Operation: 16+84=100, Resulting Numbers: [100]
100,69 unequal: No Solution
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 16*84=1344, Resulting Numbers: [1344]
1344,69 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: 69:[44, 6, 30], Operations: ['90-60=30']
Exploring Operation: 44-6=38, Resulting Numbers: [30, 38]
Generated Node #0,2,0: 69:[30, 38] Operation: 44-6=38
Exploring Operation: 44+30=74, Resulting Numbers: [6, 74]
Generated Node #0,2,1: 69:[6, 74] Operation: 44+30=74
Exploring Operation: 44-30=14, Resulting Numbers: [6, 14]
Generated Node #0,2,2: 69:[6, 14] Operation: 44-30=14
Moving to Node #0,1
Current State: 69:[60, 6, 46], Operations: ['90-44=46']
Exploring Operation: 60-46=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 69:[6, 14] Operation: 60-46=14
Exploring Operation: 60+6=66, Resulting Numbers: [46, 66]
Generated Node #0,1,1: 69:[46, 66] Operation: 60+6=66
Exploring Operation: 6+46=52, Resulting Numbers: [60, 52]
Generated Node #0,1,2: 69:[60, 52] Operation: 6+46=52
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[6, 14], Operations: ['90-44=46', '60-46=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,69 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 #0,1,1
Current State: 69:[46, 66], Operations: ['90-44=46', '60+6=66']
Exploring Operation: 46+66=112, Resulting Numbers: [112]
112,69 unequal: No Solution
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 46*66=3036, Resulting Numbers: [3036]
3036,69 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:[60, 52], Operations: ['90-44=46', '6+46=52']
Exploring Operation: 60*52=3120, Resulting Numbers: [3120]
3120,69 unequal: No Solution
Exploring Operation: 60+52=112, Resulting Numbers: [112]
112,69 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 69:[6, 74], Operations: ['90-60=30', '44+30=74']
Exploring Operation: 6*74=444, Resulting Numbers: [444]
444,69 unequal: No Solution
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 6+74=80, Resulting Numbers: [80]
80,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[6, 14], Operations: ['90-60=30', '44-30=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[30, 38], Operations: ['90-60=30', '44-6=38']
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 30*38=1140, Resulting Numbers: [1140]
1140,69 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
2,
16,
69,
31
] | 30 | [
"16/2=8",
"69-31=38",
"38-8=30"
] | Current State: 30:[2, 16, 69, 31], Operations: []
Exploring Operation: 16/2=8, Resulting Numbers: [69, 31, 8]
Generated Node #2: [69, 31, 8] from Operation: 16/2=8
Current State: 30:[69, 31, 8], Operations: ['16/2=8']
Exploring Operation: 69-31=38, Resulting Numbers: [8, 38]
Generated Node #3: [8, 38] from Operation: 69-31=38
Current State: 30:[8, 38], Operations: ['16/2=8', '69-31=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[2, 16, 69, 31], Operations: []
Exploring Operation: 69-2=67, Resulting Numbers: [16, 31, 67]
Generated Node #0,0: 30:[16, 31, 67] Operation: 69-2=67
Exploring Operation: 69-16=53, Resulting Numbers: [2, 31, 53]
Generated Node #0,1: 30:[2, 31, 53] Operation: 69-16=53
Exploring Operation: 69-31=38, Resulting Numbers: [2, 16, 38]
Generated Node #0,2: 30:[2, 16, 38] Operation: 69-31=38
Moving to Node #0,2
Current State: 30:[2, 16, 38], Operations: ['69-31=38']
Exploring Operation: 38-16=22, Resulting Numbers: [2, 22]
Generated Node #0,2,0: 30:[2, 22] Operation: 38-16=22
Exploring Operation: 38/2=19, Resulting Numbers: [16, 19]
Generated Node #0,2,1: 30:[16, 19] Operation: 38/2=19
Exploring Operation: 38-2=36, Resulting Numbers: [16, 36]
Generated Node #0,2,2: 30:[16, 36] Operation: 38-2=36
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[16, 19], Operations: ['69-31=38', '38/2=19']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,30 unequal: No Solution
No 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: 30:[2, 22], Operations: ['69-31=38', '38-16=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,30 unequal: No Solution
No 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: 30:[16, 36], Operations: ['69-31=38', '38-2=36']
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,30 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,30 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: 30:[2, 31, 53], Operations: ['69-16=53']
Exploring Operation: 53-31=22, Resulting Numbers: [2, 22]
Generated Node #0,1,0: 30:[2, 22] Operation: 53-31=22
Exploring Operation: 53-2=51, Resulting Numbers: [31, 51]
Generated Node #0,1,1: 30:[31, 51] Operation: 53-2=51
Exploring Operation: 31-2=29, Resulting Numbers: [53, 29]
Generated Node #0,1,2: 30:[53, 29] Operation: 31-2=29
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[2, 22], Operations: ['69-16=53', '53-31=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,30 unequal: No Solution
No 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: 30:[31, 51], Operations: ['69-16=53', '53-2=51']
Exploring Operation: 31*51=1581, Resulting Numbers: [1581]
1581,30 unequal: No Solution
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,30 unequal: No Solution
No 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: 30:[53, 29], Operations: ['69-16=53', '31-2=29']
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Exploring Operation: 53*29=1537, Resulting Numbers: [1537]
1537,30 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,30 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: 30:[16, 31, 67], Operations: ['69-2=67']
Exploring Operation: 67-31=36, Resulting Numbers: [16, 36]
Generated Node #0,0,0: 30:[16, 36] Operation: 67-31=36
Exploring Operation: 31-16=15, Resulting Numbers: [67, 15]
Generated Node #0,0,1: 30:[67, 15] Operation: 31-16=15
Exploring Operation: 67-16=51, Resulting Numbers: [31, 51]
Generated Node #0,0,2: 30:[31, 51] Operation: 67-16=51
Moving to Node #0,0,0
Current State: 30:[16, 36], Operations: ['69-2=67', '67-31=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,30 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[31, 51], Operations: ['69-2=67', '67-16=51']
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Exploring Operation: 31*51=1581, Resulting Numbers: [1581]
1581,30 unequal: No Solution
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[67, 15], Operations: ['69-2=67', '31-16=15']
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,30 unequal: No Solution
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Exploring Operation: 67*15=1005, Resulting Numbers: [1005]
1005,30 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
72,
6,
52,
24
] | 94 | [
"72-6=66",
"52-24=28",
"66+28=94"
] | Current State: 94:[72, 6, 52, 24], Operations: []
Exploring Operation: 72-6=66, Resulting Numbers: [52, 24, 66]
Generated Node #2: [52, 24, 66] from Operation: 72-6=66
Current State: 94:[52, 24, 66], Operations: ['72-6=66']
Exploring Operation: 52-24=28, Resulting Numbers: [66, 28]
Generated Node #3: [66, 28] from Operation: 52-24=28
Current State: 94:[66, 28], Operations: ['72-6=66', '52-24=28']
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[72, 6, 52, 24], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [6, 52, 48]
Generated Node #0,0: 94:[6, 52, 48] Operation: 72-24=48
Exploring Operation: 24/6=4, Resulting Numbers: [72, 52, 4]
Generated Node #0,1: 94:[72, 52, 4] Operation: 24/6=4
Exploring Operation: 72/24=3, Resulting Numbers: [6, 52, 3]
Generated Node #0,2: 94:[6, 52, 3] Operation: 72/24=3
Exploring Operation: 72+24=96, Resulting Numbers: [6, 52, 96]
Generated Node #0,3: 94:[6, 52, 96] Operation: 72+24=96
Exploring Operation: 72/6=12, Resulting Numbers: [52, 24, 12]
Generated Node #0,4: 94:[52, 24, 12] Operation: 72/6=12
Moving to Node #0,0
Current State: 94:[6, 52, 48], Operations: ['72-24=48']
Exploring Operation: 48-6=42, Resulting Numbers: [52, 42]
Generated Node #0,0,0: 94:[52, 42] Operation: 48-6=42
Exploring Operation: 52+48=100, Resulting Numbers: [6, 100]
Generated Node #0,0,1: 94:[6, 100] Operation: 52+48=100
Exploring Operation: 52-48=4, Resulting Numbers: [6, 4]
Generated Node #0,0,2: 94:[6, 4] Operation: 52-48=4
Exploring Operation: 48/6=8, Resulting Numbers: [52, 8]
Generated Node #0,0,3: 94:[52, 8] Operation: 48/6=8
Exploring Operation: 52-6=46, Resulting Numbers: [48, 46]
Generated Node #0,0,4: 94:[48, 46] Operation: 52-6=46
Moving to Node #0,2
Current State: 94:[6, 52, 3], Operations: ['72/24=3']
Exploring Operation: 6/3=2, Resulting Numbers: [52, 2]
Generated Node #0,2,0: 94:[52, 2] Operation: 6/3=2
Exploring Operation: 6+52=58, Resulting Numbers: [3, 58]
Generated Node #0,2,1: 94:[3, 58] Operation: 6+52=58
Exploring Operation: 6-3=3, Resulting Numbers: [52, 3]
Generated Node #0,2,2: 94:[52, 3] Operation: 6-3=3
Exploring Operation: 52-3=49, Resulting Numbers: [6, 49]
Generated Node #0,2,3: 94:[6, 49] Operation: 52-3=49
Exploring Operation: 52-6=46, Resulting Numbers: [3, 46]
Generated Node #0,2,4: 94:[3, 46] Operation: 52-6=46
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 94:[3, 46], Operations: ['72/24=3', '52-6=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,94 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,94 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[52, 2], Operations: ['72/24=3', '6/3=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,94 unequal: No Solution
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 94:[52, 3], Operations: ['72/24=3', '6-3=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 94:[6, 49], Operations: ['72/24=3', '52-3=49']
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,94 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,94 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[3, 58], Operations: ['72/24=3', '6+52=58']
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,94 unequal: No Solution
Exploring Operation: 3*58=174, Resulting Numbers: [174]
174,94 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,94 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: 94:[6, 52, 96], Operations: ['72+24=96']
Exploring Operation: 6+96=102, Resulting Numbers: [52, 102]
Generated Node #0,3,0: 94:[52, 102] Operation: 6+96=102
Exploring Operation: 6+52=58, Resulting Numbers: [96, 58]
Generated Node #0,3,1: 94:[96, 58] Operation: 6+52=58
Exploring Operation: 96-6=90, Resulting Numbers: [52, 90]
Generated Node #0,3,2: 94:[52, 90] Operation: 96-6=90
Exploring Operation: 52-6=46, Resulting Numbers: [96, 46]
Generated Node #0,3,3: 94:[96, 46] Operation: 52-6=46
Exploring Operation: 96-52=44, Resulting Numbers: [6, 44]
Generated Node #0,3,4: 94:[6, 44] Operation: 96-52=44
Moving to Node #0,1
Current State: 94:[72, 52, 4], Operations: ['24/6=4']
Exploring Operation: 72-4=68, Resulting Numbers: [52, 68]
Generated Node #0,1,0: 94:[52, 68] Operation: 72-4=68
Exploring Operation: 52-4=48, Resulting Numbers: [72, 48]
Generated Node #0,1,1: 94:[72, 48] Operation: 52-4=48
Exploring Operation: 72/4=18, Resulting Numbers: [52, 18]
Generated Node #0,1,2: 94:[52, 18] Operation: 72/4=18
Exploring Operation: 72+4=76, Resulting Numbers: [52, 76]
Generated Node #0,1,3: 94:[52, 76] Operation: 72+4=76
Exploring Operation: 72-52=20, Resulting Numbers: [4, 20]
Generated Node #0,1,4: 94:[4, 20] Operation: 72-52=20
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 94:[4, 20], Operations: ['24/6=4', '72-52=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,94 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,94 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[52, 18], Operations: ['24/6=4', '72/4=18']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,94 unequal: No Solution
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[72, 48], Operations: ['24/6=4', '52-4=48']
Exploring Operation: 72-48=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 72+48=120, Resulting Numbers: [120]
120,94 unequal: No Solution
Exploring Operation: 72*48=3456, Resulting Numbers: [3456]
3456,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[52, 76], Operations: ['24/6=4', '72+4=76']
Exploring Operation: 52*76=3952, Resulting Numbers: [3952]
3952,94 unequal: No Solution
Exploring Operation: 52+76=128, Resulting Numbers: [128]
128,94 unequal: No Solution
Exploring Operation: 76-52=24, Resulting Numbers: [24]
24,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[52, 68], Operations: ['24/6=4', '72-4=68']
Exploring Operation: 52+68=120, Resulting Numbers: [120]
120,94 unequal: No Solution
Exploring Operation: 52*68=3536, Resulting Numbers: [3536]
3536,94 unequal: No Solution
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,94 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: 94:[52, 24, 12], Operations: ['72/6=12']
Exploring Operation: 24/12=2, Resulting Numbers: [52, 2]
Generated Node #0,4,0: 94:[52, 2] Operation: 24/12=2
Exploring Operation: 24+12=36, Resulting Numbers: [52, 36]
Generated Node #0,4,1: 94:[52, 36] Operation: 24+12=36
Exploring Operation: 24-12=12, Resulting Numbers: [52, 12]
Generated Node #0,4,2: 94:[52, 12] Operation: 24-12=12
Exploring Operation: 52-24=28, Resulting Numbers: [12, 28]
Generated Node #0,4,3: 94:[12, 28] Operation: 52-24=28
Exploring Operation: 52+24=76, Resulting Numbers: [12, 76]
Generated Node #0,4,4: 94:[12, 76] Operation: 52+24=76
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 94:[52, 2], Operations: ['72/6=12', '24/12=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,94 unequal: No Solution
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 94:[52, 12], Operations: ['72/6=12', '24-12=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,94 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 94:[52, 36], Operations: ['72/6=12', '24+12=36']
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,94 unequal: No Solution
Exploring Operation: 52+36=88, Resulting Numbers: [88]
88,94 unequal: No Solution
Exploring Operation: 52*36=1872, Resulting Numbers: [1872]
1872,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 94:[12, 76], Operations: ['72/6=12', '52+24=76']
Exploring Operation: 12*76=912, Resulting Numbers: [912]
912,94 unequal: No Solution
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,94 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 94:[12, 28], Operations: ['72/6=12', '52-24=28']
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,94 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 94:[48, 46], Operations: ['72-24=48', '52-6=46']
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 48+46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[72, 6, 52, 24], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [6, 52, 48]
Generated Node #0,0: 94:[6, 52, 48] Operation: 72-24=48
Moving to Node #0,0
Current State: 94:[6, 52, 48], Operations: ['72-24=48']
Exploring Operation: 52-6=46, Resulting Numbers: [48, 46]
Generated Node #0,0,4: 94:[48, 46] Operation: 52-6=46
Moving to Node #0,0,4
Current State: 94:[48, 46], Operations: ['72-24=48', '52-6=46']
Exploring Operation: 48+46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.927083 | hs_5 | sum_heuristic |
[
45,
66,
26,
13
] | 65 | [
"66-45=21",
"26-21=5",
"13*5=65"
] | Current State: 65:[45, 66, 26, 13], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [26, 13, 21]
Generated Node #2: [26, 13, 21] from Operation: 66-45=21
Current State: 65:[26, 13, 21], Operations: ['66-45=21']
Exploring Operation: 26-21=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 26-21=5
Current State: 65:[13, 5], Operations: ['66-45=21', '26-21=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[45, 66, 26, 13], Operations: []
Exploring Operation: 45+26=71, Resulting Numbers: [66, 13, 71]
Generated Node #0,0: 65:[66, 13, 71] Operation: 45+26=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[66, 13, 71], Operations: ['45+26=71']
Exploring Operation: 71-66=5, Resulting Numbers: [13, 5]
Generated Node #0,0,0: 65:[13, 5] Operation: 71-66=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[13, 5], Operations: ['45+26=71', '71-66=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[45, 66, 26, 13], Operations: []
Exploring Operation: 45+26=71, Resulting Numbers: [66, 13, 71]
Generated Node #0,0: 65:[66, 13, 71] Operation: 45+26=71
Moving to Node #0,0
Current State: 65:[66, 13, 71], Operations: ['45+26=71']
Exploring Operation: 71-66=5, Resulting Numbers: [13, 5]
Generated Node #0,0,0: 65:[13, 5] Operation: 71-66=5
Moving to Node #0,0,0
Current State: 65:[13, 5], Operations: ['45+26=71', '71-66=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
50,
18,
64,
2
] | 100 | [
"50+18=68",
"64/2=32",
"68+32=100"
] | Current State: 100:[50, 18, 64, 2], Operations: []
Exploring Operation: 50+18=68, Resulting Numbers: [64, 2, 68]
Generated Node #2: [64, 2, 68] from Operation: 50+18=68
Current State: 100:[64, 2, 68], Operations: ['50+18=68']
Exploring Operation: 64/2=32, Resulting Numbers: [68, 32]
Generated Node #3: [68, 32] from Operation: 64/2=32
Current State: 100:[68, 32], Operations: ['50+18=68', '64/2=32']
Exploring Operation: 68+32=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[50, 18, 64, 2], Operations: []
Exploring Operation: 64-18=46, Resulting Numbers: [50, 2, 46]
Generated Node #0,0: 100:[50, 2, 46] Operation: 64-18=46
Exploring Operation: 64-50=14, Resulting Numbers: [18, 2, 14]
Generated Node #0,1: 100:[18, 2, 14] Operation: 64-50=14
Moving to Node #0,0
Current State: 100:[50, 2, 46], Operations: ['64-18=46']
Exploring Operation: 2+46=48, Resulting Numbers: [50, 48]
Generated Node #0,0,0: 100:[50, 48] Operation: 2+46=48
Exploring Operation: 50-46=4, Resulting Numbers: [2, 4]
Generated Node #0,0,1: 100:[2, 4] Operation: 50-46=4
Moving to Node #0,1
Current State: 100:[18, 2, 14], Operations: ['64-50=14']
Exploring Operation: 18-14=4, Resulting Numbers: [2, 4]
Generated Node #0,1,0: 100:[2, 4] Operation: 18-14=4
Exploring Operation: 18+2=20, Resulting Numbers: [14, 20]
Generated Node #0,1,1: 100:[14, 20] Operation: 18+2=20
Moving to Node #0,0,1
Current State: 100:[2, 4], Operations: ['64-18=46', '50-46=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[2, 4], Operations: ['64-50=14', '18-14=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[50, 48], Operations: ['64-18=46', '2+46=48']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[14, 20], Operations: ['64-50=14', '18+2=20']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,100 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
39,
22,
56,
53
] | 64 | [
"39+22=61",
"56-53=3",
"61+3=64"
] | Current State: 64:[39, 22, 56, 53], Operations: []
Exploring Operation: 39+22=61, Resulting Numbers: [56, 53, 61]
Generated Node #2: [56, 53, 61] from Operation: 39+22=61
Current State: 64:[56, 53, 61], Operations: ['39+22=61']
Exploring Operation: 56-53=3, Resulting Numbers: [61, 3]
Generated Node #3: [61, 3] from Operation: 56-53=3
Current State: 64:[61, 3], Operations: ['39+22=61', '56-53=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[39, 22, 56, 53], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [39, 22, 3]
Generated Node #0,0: 64:[39, 22, 3] Operation: 56-53=3
Exploring Operation: 53-39=14, Resulting Numbers: [22, 56, 14]
Generated Node #0,1: 64:[22, 56, 14] Operation: 53-39=14
Moving to Node #0,0
Current State: 64:[39, 22, 3], Operations: ['56-53=3']
Exploring Operation: 39+22=61, Resulting Numbers: [3, 61]
Generated Node #0,0,0: 64:[3, 61] Operation: 39+22=61
Exploring Operation: 39-22=17, Resulting Numbers: [3, 17]
Generated Node #0,0,1: 64:[3, 17] Operation: 39-22=17
Moving to Node #0,1
Current State: 64:[22, 56, 14], Operations: ['53-39=14']
Exploring Operation: 56-22=34, Resulting Numbers: [14, 34]
Generated Node #0,1,0: 64:[14, 34] Operation: 56-22=34
Exploring Operation: 56/14=4, Resulting Numbers: [22, 4]
Generated Node #0,1,1: 64:[22, 4] Operation: 56/14=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[14, 34], Operations: ['53-39=14', '56-22=34']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[22, 4], Operations: ['53-39=14', '56/14=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,64 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: 64:[3, 17], Operations: ['56-53=3', '39-22=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[3, 61], Operations: ['56-53=3', '39+22=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[39, 22, 56, 53], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [39, 22, 3]
Generated Node #0,0: 64:[39, 22, 3] Operation: 56-53=3
Moving to Node #0,0
Current State: 64:[39, 22, 3], Operations: ['56-53=3']
Exploring Operation: 39+22=61, Resulting Numbers: [3, 61]
Generated Node #0,0,0: 64:[3, 61] Operation: 39+22=61
Moving to Node #0,0,0
Current State: 64:[3, 61], Operations: ['56-53=3', '39+22=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
10,
1,
17,
4
] | 11 | [
"10*1=10",
"17+4=21",
"21-10=11"
] | Current State: 11:[10, 1, 17, 4], Operations: []
Exploring Operation: 10*1=10, Resulting Numbers: [17, 4, 10]
Generated Node #2: [17, 4, 10] from Operation: 10*1=10
Current State: 11:[17, 4, 10], Operations: ['10*1=10']
Exploring Operation: 17+4=21, Resulting Numbers: [10, 21]
Generated Node #3: [10, 21] from Operation: 17+4=21
Current State: 11:[10, 21], Operations: ['10*1=10', '17+4=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[10, 1, 17, 4], Operations: []
Exploring Operation: 10+1=11, Resulting Numbers: [17, 4, 11]
Generated Node #0,0: 11:[17, 4, 11] Operation: 10+1=11
Exploring Operation: 1+4=5, Resulting Numbers: [10, 17, 5]
Generated Node #0,1: 11:[10, 17, 5] Operation: 1+4=5
Exploring Operation: 17-1=16, Resulting Numbers: [10, 4, 16]
Generated Node #0,2: 11:[10, 4, 16] Operation: 17-1=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[17, 4, 11], Operations: ['10+1=11']
Exploring Operation: 17-4=13, Resulting Numbers: [11, 13]
Generated Node #0,0,0: 11:[11, 13] Operation: 17-4=13
Exploring Operation: 4+11=15, Resulting Numbers: [17, 15]
Generated Node #0,0,1: 11:[17, 15] Operation: 4+11=15
Exploring Operation: 17+4=21, Resulting Numbers: [11, 21]
Generated Node #0,0,2: 11:[11, 21] Operation: 17+4=21
Moving to Node #0,0,0
Current State: 11:[11, 13], Operations: ['10+1=11', '17-4=13']
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,11 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[17, 15], Operations: ['10+1=11', '4+11=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[11, 21], Operations: ['10+1=11', '17+4=21']
Exploring Operation: 11*21=231, Resulting Numbers: [231]
231,11 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[10, 17, 5], Operations: ['1+4=5']
Exploring Operation: 17-10=7, Resulting Numbers: [5, 7]
Generated Node #0,1,0: 11:[5, 7] Operation: 17-10=7
Exploring Operation: 17-5=12, Resulting Numbers: [10, 12]
Generated Node #0,1,1: 11:[10, 12] Operation: 17-5=12
Exploring Operation: 10+5=15, Resulting Numbers: [17, 15]
Generated Node #0,1,2: 11:[17, 15] Operation: 10+5=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[10, 12], Operations: ['1+4=5', '17-5=12']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[5, 7], Operations: ['1+4=5', '17-10=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[17, 15], Operations: ['1+4=5', '10+5=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,11 unequal: No Solution
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[10, 4, 16], Operations: ['17-1=16']
Exploring Operation: 16/4=4, Resulting Numbers: [10, 4]
Generated Node #0,2,0: 11:[10, 4] Operation: 16/4=4
Exploring Operation: 10+4=14, Resulting Numbers: [16, 14]
Generated Node #0,2,1: 11:[16, 14] Operation: 10+4=14
Exploring Operation: 16-4=12, Resulting Numbers: [10, 12]
Generated Node #0,2,2: 11:[10, 12] Operation: 16-4=12
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[10, 12], Operations: ['17-1=16', '16-4=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,11 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[10, 4], Operations: ['17-1=16', '16/4=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 11:[16, 14], Operations: ['17-1=16', '10+4=14']
Exploring Operation: 16*14=224, Resulting Numbers: [224]
224,11 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
70,
73,
68,
38
] | 46 | [
"73-70=3",
"38*3=114",
"114-68=46"
] | Current State: 46:[70, 73, 68, 38], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [68, 38, 3]
Generated Node #2: [68, 38, 3] from Operation: 73-70=3
Current State: 46:[68, 38, 3], Operations: ['73-70=3']
Exploring Operation: 38*3=114, Resulting Numbers: [68, 114]
Generated Node #3: [68, 114] from Operation: 38*3=114
Current State: 46:[68, 114], Operations: ['73-70=3', '38*3=114']
Exploring Operation: 114-68=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[70, 73, 68, 38], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [73, 38, 2]
Generated Node #0,0: 46:[73, 38, 2] Operation: 70-68=2
Exploring Operation: 73-68=5, Resulting Numbers: [70, 38, 5]
Generated Node #0,1: 46:[70, 38, 5] Operation: 73-68=5
Exploring Operation: 73-70=3, Resulting Numbers: [68, 38, 3]
Generated Node #0,2: 46:[68, 38, 3] Operation: 73-70=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[68, 38, 3], Operations: ['73-70=3']
Exploring Operation: 38+3=41, Resulting Numbers: [68, 41]
Generated Node #0,2,0: 46:[68, 41] Operation: 38+3=41
Exploring Operation: 68-3=65, Resulting Numbers: [38, 65]
Generated Node #0,2,1: 46:[38, 65] Operation: 68-3=65
Exploring Operation: 68-38=30, Resulting Numbers: [3, 30]
Generated Node #0,2,2: 46:[3, 30] Operation: 68-38=30
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[3, 30], Operations: ['73-70=3', '68-38=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 46:[68, 41], Operations: ['73-70=3', '38+3=41']
Exploring Operation: 68-41=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 68*41=2788, Resulting Numbers: [2788]
2788,46 unequal: No Solution
Exploring Operation: 68+41=109, Resulting Numbers: [109]
109,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[38, 65], Operations: ['73-70=3', '68-3=65']
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 38*65=2470, Resulting Numbers: [2470]
2470,46 unequal: No Solution
Exploring Operation: 38+65=103, Resulting Numbers: [103]
103,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[73, 38, 2], Operations: ['70-68=2']
Exploring Operation: 73-2=71, Resulting Numbers: [38, 71]
Generated Node #0,0,0: 46:[38, 71] Operation: 73-2=71
Exploring Operation: 38/2=19, Resulting Numbers: [73, 19]
Generated Node #0,0,1: 46:[73, 19] Operation: 38/2=19
Exploring Operation: 73-38=35, Resulting Numbers: [2, 35]
Generated Node #0,0,2: 46:[2, 35] Operation: 73-38=35
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[2, 35], Operations: ['70-68=2', '73-38=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,46 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[73, 19], Operations: ['70-68=2', '38/2=19']
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,46 unequal: No Solution
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[38, 71], Operations: ['70-68=2', '73-2=71']
Exploring Operation: 38+71=109, Resulting Numbers: [109]
109,46 unequal: No Solution
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 38*71=2698, Resulting Numbers: [2698]
2698,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[70, 38, 5], Operations: ['73-68=5']
Exploring Operation: 70-5=65, Resulting Numbers: [38, 65]
Generated Node #0,1,0: 46:[38, 65] Operation: 70-5=65
Exploring Operation: 70/5=14, Resulting Numbers: [38, 14]
Generated Node #0,1,1: 46:[38, 14] Operation: 70/5=14
Exploring Operation: 70-38=32, Resulting Numbers: [5, 32]
Generated Node #0,1,2: 46:[5, 32] Operation: 70-38=32
Moving to Node #0,1,2
Current State: 46:[5, 32], Operations: ['73-68=5', '70-38=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,46 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[38, 14], Operations: ['73-68=5', '70/5=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[38, 65], Operations: ['73-68=5', '70-5=65']
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 38+65=103, Resulting Numbers: [103]
103,46 unequal: No Solution
Exploring Operation: 38*65=2470, Resulting Numbers: [2470]
2470,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
31,
28,
48,
98
] | 87 | [
"31+28=59",
"48+98=146",
"146-59=87"
] | Current State: 87:[31, 28, 48, 98], Operations: []
Exploring Operation: 31+28=59, Resulting Numbers: [48, 98, 59]
Generated Node #2: [48, 98, 59] from Operation: 31+28=59
Current State: 87:[48, 98, 59], Operations: ['31+28=59']
Exploring Operation: 48+98=146, Resulting Numbers: [59, 146]
Generated Node #3: [59, 146] from Operation: 48+98=146
Current State: 87:[59, 146], Operations: ['31+28=59', '48+98=146']
Exploring Operation: 146-59=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[31, 28, 48, 98], Operations: []
Exploring Operation: 28+48=76, Resulting Numbers: [31, 98, 76]
Generated Node #0,0: 87:[31, 98, 76] Operation: 28+48=76
Exploring Operation: 48-31=17, Resulting Numbers: [28, 98, 17]
Generated Node #0,1: 87:[28, 98, 17] Operation: 48-31=17
Exploring Operation: 31+48=79, Resulting Numbers: [28, 98, 79]
Generated Node #0,2: 87:[28, 98, 79] Operation: 31+48=79
Exploring Operation: 48-28=20, Resulting Numbers: [31, 98, 20]
Generated Node #0,3: 87:[31, 98, 20] Operation: 48-28=20
Moving to Node #0,2
Current State: 87:[28, 98, 79], Operations: ['31+48=79']
Exploring Operation: 28+79=107, Resulting Numbers: [98, 107]
Generated Node #0,2,0: 87:[98, 107] Operation: 28+79=107
Exploring Operation: 98-79=19, Resulting Numbers: [28, 19]
Generated Node #0,2,1: 87:[28, 19] Operation: 98-79=19
Exploring Operation: 79-28=51, Resulting Numbers: [98, 51]
Generated Node #0,2,2: 87:[98, 51] Operation: 79-28=51
Exploring Operation: 98-28=70, Resulting Numbers: [79, 70]
Generated Node #0,2,3: 87:[79, 70] Operation: 98-28=70
Moving to Node #0,3
Current State: 87:[31, 98, 20], Operations: ['48-28=20']
Exploring Operation: 31+20=51, Resulting Numbers: [98, 51]
Generated Node #0,3,0: 87:[98, 51] Operation: 31+20=51
Exploring Operation: 98-20=78, Resulting Numbers: [31, 78]
Generated Node #0,3,1: 87:[31, 78] Operation: 98-20=78
Exploring Operation: 98-31=67, Resulting Numbers: [20, 67]
Generated Node #0,3,2: 87:[20, 67] Operation: 98-31=67
Exploring Operation: 31-20=11, Resulting Numbers: [98, 11]
Generated Node #0,3,3: 87:[98, 11] Operation: 31-20=11
Moving to Node #0,1
Current State: 87:[28, 98, 17], Operations: ['48-31=17']
Exploring Operation: 98-28=70, Resulting Numbers: [17, 70]
Generated Node #0,1,0: 87:[17, 70] Operation: 98-28=70
Exploring Operation: 28+17=45, Resulting Numbers: [98, 45]
Generated Node #0,1,1: 87:[98, 45] Operation: 28+17=45
Exploring Operation: 98-17=81, Resulting Numbers: [28, 81]
Generated Node #0,1,2: 87:[28, 81] Operation: 98-17=81
Exploring Operation: 28-17=11, Resulting Numbers: [98, 11]
Generated Node #0,1,3: 87:[98, 11] Operation: 28-17=11
Moving to Node #0,0
Current State: 87:[31, 98, 76], Operations: ['28+48=76']
Exploring Operation: 76-31=45, Resulting Numbers: [98, 45]
Generated Node #0,0,0: 87:[98, 45] Operation: 76-31=45
Exploring Operation: 98-31=67, Resulting Numbers: [76, 67]
Generated Node #0,0,1: 87:[76, 67] Operation: 98-31=67
Exploring Operation: 31+76=107, Resulting Numbers: [98, 107]
Generated Node #0,0,2: 87:[98, 107] Operation: 31+76=107
Exploring Operation: 98-76=22, Resulting Numbers: [31, 22]
Generated Node #0,0,3: 87:[31, 22] Operation: 98-76=22
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[31, 22], Operations: ['28+48=76', '98-76=22']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 31+22=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 31*22=682, Resulting Numbers: [682]
682,87 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 #0,0,0
Current State: 87:[98, 45], Operations: ['28+48=76', '76-31=45']
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 98+45=143, Resulting Numbers: [143]
143,87 unequal: No Solution
Exploring Operation: 98*45=4410, Resulting Numbers: [4410]
4410,87 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 #0,0,1
Current State: 87:[76, 67], Operations: ['28+48=76', '98-31=67']
Exploring Operation: 76+67=143, Resulting Numbers: [143]
143,87 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 76*67=5092, Resulting Numbers: [5092]
5092,87 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 #0,0,2
Current State: 87:[98, 107], Operations: ['28+48=76', '31+76=107']
Exploring Operation: 98+107=205, Resulting Numbers: [205]
205,87 unequal: No Solution
Exploring Operation: 107-98=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 98*107=10486, Resulting Numbers: [10486]
10486,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 87:[28, 81], Operations: ['48-31=17', '98-17=81']
Exploring Operation: 28*81=2268, Resulting Numbers: [2268]
2268,87 unequal: No Solution
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[28, 19], Operations: ['31+48=79', '98-79=19']
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,87 unequal: No Solution
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,87 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[31, 78], Operations: ['48-28=20', '98-20=78']
Exploring Operation: 31+78=109, Resulting Numbers: [109]
109,87 unequal: No Solution
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,87 unequal: No Solution
Exploring Operation: 31*78=2418, Resulting Numbers: [2418]
2418,87 unequal: No Solution
Moving to Node #0,3,3
Current State: 87:[98, 11], Operations: ['48-28=20', '31-20=11']
Exploring Operation: 98*11=1078, Resulting Numbers: [1078]
1078,87 unequal: No Solution
Exploring Operation: 98+11=109, Resulting Numbers: [109]
109,87 unequal: No Solution
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[31, 28, 48, 98], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [31, 98, 20]
Generated Node #0,3: 87:[31, 98, 20] Operation: 48-28=20
Moving to Node #0,3
Current State: 87:[31, 98, 20], Operations: ['48-28=20']
Exploring Operation: 31-20=11, Resulting Numbers: [98, 11]
Generated Node #0,3,3: 87:[98, 11] Operation: 31-20=11
Moving to Node #0,3,3
Current State: 87:[98, 11], Operations: ['48-28=20', '31-20=11']
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.958333 | hs_4 | sum_heuristic |
[
14,
94,
61,
15
] | 33 | [
"15-14=1",
"94-61=33",
"1*33=33"
] | Current State: 33:[14, 94, 61, 15], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [94, 61, 1]
Generated Node #2: [94, 61, 1] from Operation: 15-14=1
Current State: 33:[94, 61, 1], Operations: ['15-14=1']
Exploring Operation: 94-61=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 94-61=33
Current State: 33:[1, 33], Operations: ['15-14=1', '94-61=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[14, 94, 61, 15], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [14, 15, 33]
Generated Node #0,0: 33:[14, 15, 33] Operation: 94-61=33
Moving to Node #0,0
Current State: 33:[14, 15, 33], Operations: ['94-61=33']
Exploring Operation: 15-14=1, Resulting Numbers: [33, 1]
Generated Node #0,0,0: 33:[33, 1] Operation: 15-14=1
Moving to Node #0,0,0
Current State: 33:[33, 1], Operations: ['94-61=33', '15-14=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[14, 94, 61, 15], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [14, 15, 33]
Generated Node #0,0: 33:[14, 15, 33] Operation: 94-61=33
Moving to Node #0,0
Current State: 33:[14, 15, 33], Operations: ['94-61=33']
Exploring Operation: 15-14=1, Resulting Numbers: [33, 1]
Generated Node #0,0,0: 33:[33, 1] Operation: 15-14=1
Moving to Node #0,0,0
Current State: 33:[33, 1], Operations: ['94-61=33', '15-14=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
72,
73,
43,
11
] | 91 | [
"72+73=145",
"43+11=54",
"145-54=91"
] | Current State: 91:[72, 73, 43, 11], Operations: []
Exploring Operation: 72+73=145, Resulting Numbers: [43, 11, 145]
Generated Node #2: [43, 11, 145] from Operation: 72+73=145
Current State: 91:[43, 11, 145], Operations: ['72+73=145']
Exploring Operation: 43+11=54, Resulting Numbers: [145, 54]
Generated Node #3: [145, 54] from Operation: 43+11=54
Current State: 91:[145, 54], Operations: ['72+73=145', '43+11=54']
Exploring Operation: 145-54=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[72, 73, 43, 11], Operations: []
Exploring Operation: 72-43=29, Resulting Numbers: [73, 11, 29]
Generated Node #0,0: 91:[73, 11, 29] Operation: 72-43=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[73, 11, 29], Operations: ['72-43=29']
Exploring Operation: 73+29=102, Resulting Numbers: [11, 102]
Generated Node #0,0,0: 91:[11, 102] Operation: 73+29=102
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[11, 102], Operations: ['72-43=29', '73+29=102']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[72, 73, 43, 11], Operations: []
Exploring Operation: 72-43=29, Resulting Numbers: [73, 11, 29]
Generated Node #0,0: 91:[73, 11, 29] Operation: 72-43=29
Moving to Node #0,0
Current State: 91:[73, 11, 29], Operations: ['72-43=29']
Exploring Operation: 73+29=102, Resulting Numbers: [11, 102]
Generated Node #0,0,0: 91:[11, 102] Operation: 73+29=102
Moving to Node #0,0,0
Current State: 91:[11, 102], Operations: ['72-43=29', '73+29=102']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
77,
70,
20,
70
] | 23 | [
"77*20=1540",
"70+1540=1610",
"1610/70=23"
] | Current State: 23:[77, 70, 20, 70], Operations: []
Exploring Operation: 77*20=1540, Resulting Numbers: [70, 70, 1540]
Generated Node #2: [70, 70, 1540] from Operation: 77*20=1540
Current State: 23:[70, 70, 1540], Operations: ['77*20=1540']
Exploring Operation: 70+1540=1610, Resulting Numbers: [1610]
1610,23 equal: Goal Reached
Exploring Operation: 1610/70=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[77, 70, 20, 70], Operations: []
Exploring Operation: 77-20=57, Resulting Numbers: [70, 70, 57]
Generated Node #0,0: 23:[70, 70, 57] Operation: 77-20=57
Exploring Operation: 77-70=7, Resulting Numbers: [70, 20, 7]
Generated Node #0,1: 23:[70, 20, 7] Operation: 77-70=7
Exploring Operation: 77-70=7, Resulting Numbers: [20, 70, 7]
Generated Node #0,2: 23:[20, 70, 7] Operation: 77-70=7
Exploring Operation: 70/70=1, Resulting Numbers: [77, 20, 1]
Generated Node #0,3: 23:[77, 20, 1] Operation: 70/70=1
Exploring Operation: 70-70=0, Resulting Numbers: [77, 20, 0]
Generated Node #0,4: 23:[77, 20, 0] Operation: 70-70=0
Moving to Node #0,1
Current State: 23:[70, 20, 7], Operations: ['77-70=7']
Exploring Operation: 70/7=10, Resulting Numbers: [20, 10]
Generated Node #0,1,0: 23:[20, 10] Operation: 70/7=10
Exploring Operation: 70-20=50, Resulting Numbers: [7, 50]
Generated Node #0,1,1: 23:[7, 50] Operation: 70-20=50
Exploring Operation: 70-7=63, Resulting Numbers: [20, 63]
Generated Node #0,1,2: 23:[20, 63] Operation: 70-7=63
Exploring Operation: 70+7=77, Resulting Numbers: [20, 77]
Generated Node #0,1,3: 23:[20, 77] Operation: 70+7=77
Exploring Operation: 20+7=27, Resulting Numbers: [70, 27]
Generated Node #0,1,4: 23:[70, 27] Operation: 20+7=27
Moving to Node #0,2
Current State: 23:[20, 70, 7], Operations: ['77-70=7']
Exploring Operation: 20+7=27, Resulting Numbers: [70, 27]
Generated Node #0,2,0: 23:[70, 27] Operation: 20+7=27
Exploring Operation: 70-7=63, Resulting Numbers: [20, 63]
Generated Node #0,2,1: 23:[20, 63] Operation: 70-7=63
Exploring Operation: 20-7=13, Resulting Numbers: [70, 13]
Generated Node #0,2,2: 23:[70, 13] Operation: 20-7=13
Exploring Operation: 70-20=50, Resulting Numbers: [7, 50]
Generated Node #0,2,3: 23:[7, 50] Operation: 70-20=50
Exploring Operation: 70/7=10, Resulting Numbers: [20, 10]
Generated Node #0,2,4: 23:[20, 10] Operation: 70/7=10
Moving to Node #0,3
Current State: 23:[77, 20, 1], Operations: ['70/70=1']
Exploring Operation: 77/1=77, Resulting Numbers: [20, 77]
Generated Node #0,3,0: 23:[20, 77] Operation: 77/1=77
Exploring Operation: 77-1=76, Resulting Numbers: [20, 76]
Generated Node #0,3,1: 23:[20, 76] Operation: 77-1=76
Exploring Operation: 77-20=57, Resulting Numbers: [1, 57]
Generated Node #0,3,2: 23:[1, 57] Operation: 77-20=57
Exploring Operation: 77*1=77, Resulting Numbers: [20, 77]
Generated Node #0,3,3: 23:[20, 77] Operation: 77*1=77
Exploring Operation: 20+1=21, Resulting Numbers: [77, 21]
Generated Node #0,3,4: 23:[77, 21] Operation: 20+1=21
Moving to Node #0,4
Current State: 23:[77, 20, 0], Operations: ['70-70=0']
Exploring Operation: 77-0=77, Resulting Numbers: [20, 77]
Generated Node #0,4,0: 23:[20, 77] Operation: 77-0=77
Exploring Operation: 20+0=20, Resulting Numbers: [77, 20]
Generated Node #0,4,1: 23:[77, 20] Operation: 20+0=20
Exploring Operation: 77*0=0, Resulting Numbers: [20, 0]
Generated Node #0,4,2: 23:[20, 0] Operation: 77*0=0
Exploring Operation: 77+0=77, Resulting Numbers: [20, 77]
Generated Node #0,4,3: 23:[20, 77] Operation: 77+0=77
Exploring Operation: 77-20=57, Resulting Numbers: [0, 57]
Generated Node #0,4,4: 23:[0, 57] Operation: 77-20=57
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 23:[20, 0], Operations: ['70-70=0', '77*0=0']
Exploring Operation: 20*0=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 23:[20, 77], Operations: ['70-70=0', '77-0=77']
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,23 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 20*77=1540, Resulting Numbers: [1540]
1540,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 23:[77, 20], Operations: ['70-70=0', '20+0=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,23 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,23 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 23:[20, 77], Operations: ['70-70=0', '77+0=77']
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,23 unequal: No Solution
Exploring Operation: 20*77=1540, Resulting Numbers: [1540]
1540,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 23:[0, 57], Operations: ['70-70=0', '77-20=57']
Exploring Operation: 57-0=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 0*57=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 0+57=57, Resulting Numbers: [57]
57,23 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: 23:[70, 70, 57], Operations: ['77-20=57']
Exploring Operation: 70-57=13, Resulting Numbers: [70, 13]
Generated Node #0,0,0: 23:[70, 13] Operation: 70-57=13
Exploring Operation: 70-70=0, Resulting Numbers: [57, 0]
Generated Node #0,0,1: 23:[57, 0] Operation: 70-70=0
Exploring Operation: 70+70=140, Resulting Numbers: [57, 140]
Generated Node #0,0,2: 23:[57, 140] Operation: 70+70=140
Exploring Operation: 70/70=1, Resulting Numbers: [57, 1]
Generated Node #0,0,3: 23:[57, 1] Operation: 70/70=1
Exploring Operation: 70-57=13, Resulting Numbers: [70, 13]
Generated Node #0,0,4: 23:[70, 13] Operation: 70-57=13
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 23:[57, 1], Operations: ['77-20=57', '70/70=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[70, 13], Operations: ['77-20=57', '70-57=13']
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 70+13=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 70*13=910, Resulting Numbers: [910]
910,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[57, 0], Operations: ['77-20=57', '70-70=0']
Exploring Operation: 57-0=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 57+0=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 57*0=0, Resulting Numbers: [0]
0,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 23:[70, 13], Operations: ['77-20=57', '70-57=13']
Exploring Operation: 70*13=910, Resulting Numbers: [910]
910,23 unequal: No Solution
Exploring Operation: 70+13=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[57, 140], Operations: ['77-20=57', '70+70=140']
Exploring Operation: 140-57=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 57*140=7980, Resulting Numbers: [7980]
7980,23 unequal: No Solution
Exploring Operation: 57+140=197, Resulting Numbers: [197]
197,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 23:[20, 10], Operations: ['77-70=7', '70/7=10']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,23 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,23 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Moving to Node #0,2,4
Current State: 23:[20, 10], Operations: ['77-70=7', '70/7=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,23 unequal: No Solution
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,23 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[20, 63], Operations: ['77-70=7', '70-7=63']
Exploring Operation: 20+63=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 20*63=1260, Resulting Numbers: [1260]
1260,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[20, 63], Operations: ['77-70=7', '70-7=63']
Exploring Operation: 20*63=1260, Resulting Numbers: [1260]
1260,23 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 20+63=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[7, 50], Operations: ['77-70=7', '70-20=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,23 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[7, 50], Operations: ['77-70=7', '70-20=50']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[70, 27], Operations: ['77-70=7', '20+7=27']
Exploring Operation: 70*27=1890, Resulting Numbers: [1890]
1890,23 unequal: No Solution
Exploring Operation: 70+27=97, Resulting Numbers: [97]
97,23 unequal: No Solution
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Moving to Node #0,1,4
Current State: 23:[70, 27], Operations: ['77-70=7', '20+7=27']
Exploring Operation: 70+27=97, Resulting Numbers: [97]
97,23 unequal: No Solution
Exploring Operation: 70*27=1890, Resulting Numbers: [1890]
1890,23 unequal: No Solution
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Moving to Node #0,3,4
Current State: 23:[77, 21], Operations: ['70/70=1', '20+1=21']
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,23 unequal: No Solution
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,23 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Moving to Node #0,3,2
Current State: 23:[1, 57], Operations: ['70/70=1', '77-20=57']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[20, 76], Operations: ['70/70=1', '77-1=76']
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,23 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 20*76=1520, Resulting Numbers: [1520]
1520,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[20, 77], Operations: ['77-70=7', '70+7=77']
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 20*77=1540, Resulting Numbers: [1540]
1540,23 unequal: No Solution
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[20, 77], Operations: ['70/70=1', '77/1=77']
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,23 unequal: No Solution
Exploring Operation: 20*77=1540, Resulting Numbers: [1540]
1540,23 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[70, 13], Operations: ['77-70=7', '20-7=13']
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 70+13=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 70*13=910, Resulting Numbers: [910]
910,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[20, 77], Operations: ['70/70=1', '77*1=77']
Exploring Operation: 20*77=1540, Resulting Numbers: [1540]
1540,23 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 20+77=97, Resulting Numbers: [97]
97,23 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
8,
60,
45,
2
] | 89 | [
"8*2=16",
"60+45=105",
"105-16=89"
] | Current State: 89:[8, 60, 45, 2], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [60, 45, 16]
Generated Node #2: [60, 45, 16] from Operation: 8*2=16
Current State: 89:[60, 45, 16], Operations: ['8*2=16']
Exploring Operation: 60+45=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 60+45=105
Current State: 89:[16, 105], Operations: ['8*2=16', '60+45=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[8, 60, 45, 2], Operations: []
Exploring Operation: 45*2=90, Resulting Numbers: [8, 60, 90]
Generated Node #0,0: 89:[8, 60, 90] Operation: 45*2=90
Exploring Operation: 8+45=53, Resulting Numbers: [60, 2, 53]
Generated Node #0,1: 89:[60, 2, 53] Operation: 8+45=53
Exploring Operation: 8+2=10, Resulting Numbers: [60, 45, 10]
Generated Node #0,2: 89:[60, 45, 10] Operation: 8+2=10
Exploring Operation: 8+60=68, Resulting Numbers: [45, 2, 68]
Generated Node #0,3: 89:[45, 2, 68] Operation: 8+60=68
Exploring Operation: 8*2=16, Resulting Numbers: [60, 45, 16]
Generated Node #0,4: 89:[60, 45, 16] Operation: 8*2=16
Moving to Node #0,0
Current State: 89:[8, 60, 90], Operations: ['45*2=90']
Exploring Operation: 90-8=82, Resulting Numbers: [60, 82]
Generated Node #0,0,0: 89:[60, 82] Operation: 90-8=82
Exploring Operation: 8+90=98, Resulting Numbers: [60, 98]
Generated Node #0,0,1: 89:[60, 98] Operation: 8+90=98
Exploring Operation: 90-60=30, Resulting Numbers: [8, 30]
Generated Node #0,0,2: 89:[8, 30] Operation: 90-60=30
Exploring Operation: 8+60=68, Resulting Numbers: [90, 68]
Generated Node #0,0,3: 89:[90, 68] Operation: 8+60=68
Exploring Operation: 60-8=52, Resulting Numbers: [90, 52]
Generated Node #0,0,4: 89:[90, 52] Operation: 60-8=52
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 89:[90, 68], Operations: ['45*2=90', '8+60=68']
Exploring Operation: 90*68=6120, Resulting Numbers: [6120]
6120,89 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[60, 82], Operations: ['45*2=90', '90-8=82']
Exploring Operation: 60+82=142, Resulting Numbers: [142]
142,89 unequal: No Solution
Exploring Operation: 60*82=4920, Resulting Numbers: [4920]
4920,89 unequal: No Solution
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[60, 98], Operations: ['45*2=90', '8+90=98']
Exploring Operation: 60+98=158, Resulting Numbers: [158]
158,89 unequal: No Solution
Exploring Operation: 98-60=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 60*98=5880, Resulting Numbers: [5880]
5880,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 89:[90, 52], Operations: ['45*2=90', '60-8=52']
Exploring Operation: 90+52=142, Resulting Numbers: [142]
142,89 unequal: No Solution
Exploring Operation: 90*52=4680, Resulting Numbers: [4680]
4680,89 unequal: No Solution
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[8, 30], Operations: ['45*2=90', '90-60=30']
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,89 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,89 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: 89:[60, 45, 16], Operations: ['8*2=16']
Exploring Operation: 60+16=76, Resulting Numbers: [45, 76]
Generated Node #0,4,0: 89:[45, 76] Operation: 60+16=76
Exploring Operation: 45-16=29, Resulting Numbers: [60, 29]
Generated Node #0,4,1: 89:[60, 29] Operation: 45-16=29
Exploring Operation: 60+45=105, Resulting Numbers: [16, 105]
Generated Node #0,4,2: 89:[16, 105] Operation: 60+45=105
Exploring Operation: 45+16=61, Resulting Numbers: [60, 61]
Generated Node #0,4,3: 89:[60, 61] Operation: 45+16=61
Exploring Operation: 60-16=44, Resulting Numbers: [45, 44]
Generated Node #0,4,4: 89:[45, 44] Operation: 60-16=44
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 89:[45, 76], Operations: ['8*2=16', '60+16=76']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 45*76=3420, Resulting Numbers: [3420]
3420,89 unequal: No Solution
Exploring Operation: 45+76=121, Resulting Numbers: [121]
121,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 89:[60, 61], Operations: ['8*2=16', '45+16=61']
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 60*61=3660, Resulting Numbers: [3660]
3660,89 unequal: No Solution
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 89:[60, 29], Operations: ['8*2=16', '45-16=29']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,89 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,89 unequal: No Solution
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[8, 60, 45, 2], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [60, 45, 16]
Generated Node #0,4: 89:[60, 45, 16] Operation: 8*2=16
Moving to Node #0,4
Current State: 89:[60, 45, 16], Operations: ['8*2=16']
Exploring Operation: 45-16=29, Resulting Numbers: [60, 29]
Generated Node #0,4,1: 89:[60, 29] Operation: 45-16=29
Moving to Node #0,4,1
Current State: 89:[60, 29], Operations: ['8*2=16', '45-16=29']
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_5 | mult_heuristic |
[
59,
62,
63,
30
] | 73 | [
"62-59=3",
"30/3=10",
"63+10=73"
] | Current State: 73:[59, 62, 63, 30], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [63, 30, 3]
Generated Node #2: [63, 30, 3] from Operation: 62-59=3
Current State: 73:[63, 30, 3], Operations: ['62-59=3']
Exploring Operation: 30/3=10, Resulting Numbers: [63, 10]
Generated Node #3: [63, 10] from Operation: 30/3=10
Current State: 73:[63, 10], Operations: ['62-59=3', '30/3=10']
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[59, 62, 63, 30], Operations: []
Exploring Operation: 59+30=89, Resulting Numbers: [62, 63, 89]
Generated Node #0,0: 73:[62, 63, 89] Operation: 59+30=89
Exploring Operation: 62+30=92, Resulting Numbers: [59, 63, 92]
Generated Node #0,1: 73:[59, 63, 92] Operation: 62+30=92
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[62, 63, 89], Operations: ['59+30=89']
Exploring Operation: 89-62=27, Resulting Numbers: [63, 27]
Generated Node #0,0,0: 73:[63, 27] Operation: 89-62=27
Exploring Operation: 89-63=26, Resulting Numbers: [62, 26]
Generated Node #0,0,1: 73:[62, 26] Operation: 89-63=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[63, 27], Operations: ['59+30=89', '89-62=27']
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,73 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:[62, 26], Operations: ['59+30=89', '89-63=26']
Exploring Operation: 62+26=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,73 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:[59, 63, 92], Operations: ['62+30=92']
Exploring Operation: 92-63=29, Resulting Numbers: [59, 29]
Generated Node #0,1,0: 73:[59, 29] Operation: 92-63=29
Exploring Operation: 92-59=33, Resulting Numbers: [63, 33]
Generated Node #0,1,1: 73:[63, 33] Operation: 92-59=33
Moving to Node #0,1,1
Current State: 73:[63, 33], Operations: ['62+30=92', '92-59=33']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,73 unequal: No Solution
Exploring Operation: 63+33=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[59, 29], Operations: ['62+30=92', '92-63=29']
Exploring Operation: 59+29=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
48,
63,
16,
10
] | 76 | [
"48/16=3",
"63+10=73",
"3+73=76"
] | Current State: 76:[48, 63, 16, 10], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [63, 10, 3]
Generated Node #2: [63, 10, 3] from Operation: 48/16=3
Current State: 76:[63, 10, 3], Operations: ['48/16=3']
Exploring Operation: 63+10=73, Resulting Numbers: [3, 73]
Generated Node #3: [3, 73] from Operation: 63+10=73
Current State: 76:[3, 73], Operations: ['48/16=3', '63+10=73']
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[48, 63, 16, 10], Operations: []
Exploring Operation: 63+10=73, Resulting Numbers: [48, 16, 73]
Generated Node #0,0: 76:[48, 16, 73] Operation: 63+10=73
Exploring Operation: 63-48=15, Resulting Numbers: [16, 10, 15]
Generated Node #0,1: 76:[16, 10, 15] Operation: 63-48=15
Exploring Operation: 48/16=3, Resulting Numbers: [63, 10, 3]
Generated Node #0,2: 76:[63, 10, 3] Operation: 48/16=3
Exploring Operation: 48-10=38, Resulting Numbers: [63, 16, 38]
Generated Node #0,3: 76:[63, 16, 38] Operation: 48-10=38
Exploring Operation: 63+16=79, Resulting Numbers: [48, 10, 79]
Generated Node #0,4: 76:[48, 10, 79] Operation: 63+16=79
Moving to Node #0,1
Current State: 76:[16, 10, 15], Operations: ['63-48=15']
Exploring Operation: 10+15=25, Resulting Numbers: [16, 25]
Generated Node #0,1,0: 76:[16, 25] Operation: 10+15=25
Exploring Operation: 16+10=26, Resulting Numbers: [15, 26]
Generated Node #0,1,1: 76:[15, 26] Operation: 16+10=26
Exploring Operation: 16-15=1, Resulting Numbers: [10, 1]
Generated Node #0,1,2: 76:[10, 1] Operation: 16-15=1
Exploring Operation: 15-10=5, Resulting Numbers: [16, 5]
Generated Node #0,1,3: 76:[16, 5] Operation: 15-10=5
Exploring Operation: 16-10=6, Resulting Numbers: [15, 6]
Generated Node #0,1,4: 76:[15, 6] Operation: 16-10=6
Moving to Node #0,3
Current State: 76:[63, 16, 38], Operations: ['48-10=38']
Exploring Operation: 63+38=101, Resulting Numbers: [16, 101]
Generated Node #0,3,0: 76:[16, 101] Operation: 63+38=101
Exploring Operation: 63-16=47, Resulting Numbers: [38, 47]
Generated Node #0,3,1: 76:[38, 47] Operation: 63-16=47
Exploring Operation: 63-38=25, Resulting Numbers: [16, 25]
Generated Node #0,3,2: 76:[16, 25] Operation: 63-38=25
Exploring Operation: 38-16=22, Resulting Numbers: [63, 22]
Generated Node #0,3,3: 76:[63, 22] Operation: 38-16=22
Exploring Operation: 63+16=79, Resulting Numbers: [38, 79]
Generated Node #0,3,4: 76:[38, 79] Operation: 63+16=79
Moving to Node #0,0
Current State: 76:[48, 16, 73], Operations: ['63+10=73']
Exploring Operation: 48-16=32, Resulting Numbers: [73, 32]
Generated Node #0,0,0: 76:[73, 32] Operation: 48-16=32
Exploring Operation: 16+73=89, Resulting Numbers: [48, 89]
Generated Node #0,0,1: 76:[48, 89] Operation: 16+73=89
Exploring Operation: 48+16=64, Resulting Numbers: [73, 64]
Generated Node #0,0,2: 76:[73, 64] Operation: 48+16=64
Exploring Operation: 73-48=25, Resulting Numbers: [16, 25]
Generated Node #0,0,3: 76:[16, 25] Operation: 73-48=25
Exploring Operation: 48/16=3, Resulting Numbers: [73, 3]
Generated Node #0,0,4: 76:[73, 3] Operation: 48/16=3
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 76:[73, 3], Operations: ['63+10=73', '48/16=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[48, 63, 16, 10], Operations: []
Exploring Operation: 63+10=73, Resulting Numbers: [48, 16, 73]
Generated Node #0,0: 76:[48, 16, 73] Operation: 63+10=73
Moving to Node #0,0
Current State: 76:[48, 16, 73], Operations: ['63+10=73']
Exploring Operation: 48/16=3, Resulting Numbers: [73, 3]
Generated Node #0,0,4: 76:[73, 3] Operation: 48/16=3
Moving to Node #0,0,4
Current State: 76:[73, 3], Operations: ['63+10=73', '48/16=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
9,
62,
24,
29
] | 51 | [
"62*24=1488",
"1488-9=1479",
"1479/29=51"
] | Current State: 51:[9, 62, 24, 29], Operations: []
Exploring Operation: 62*24=1488, Resulting Numbers: [9, 29, 1488]
Generated Node #2: [9, 29, 1488] from Operation: 62*24=1488
Current State: 51:[9, 29, 1488], Operations: ['62*24=1488']
Exploring Operation: 1488-9=1479, Resulting Numbers: [29, 1479]
Generated Node #3: [29, 1479] from Operation: 1488-9=1479
Current State: 51:[29, 1479], Operations: ['62*24=1488', '1488-9=1479']
Exploring Operation: 1479/29=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[9, 62, 24, 29], Operations: []
Exploring Operation: 62-9=53, Resulting Numbers: [24, 29, 53]
Generated Node #0,0: 51:[24, 29, 53] Operation: 62-9=53
Exploring Operation: 29-24=5, Resulting Numbers: [9, 62, 5]
Generated Node #0,1: 51:[9, 62, 5] Operation: 29-24=5
Exploring Operation: 24+29=53, Resulting Numbers: [9, 62, 53]
Generated Node #0,2: 51:[9, 62, 53] Operation: 24+29=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[9, 62, 5], Operations: ['29-24=5']
Exploring Operation: 9-5=4, Resulting Numbers: [62, 4]
Generated Node #0,1,0: 51:[62, 4] Operation: 9-5=4
Exploring Operation: 62-5=57, Resulting Numbers: [9, 57]
Generated Node #0,1,1: 51:[9, 57] Operation: 62-5=57
Exploring Operation: 62-9=53, Resulting Numbers: [5, 53]
Generated Node #0,1,2: 51:[5, 53] Operation: 62-9=53
Moving to Node #0,1,2
Current State: 51:[5, 53], Operations: ['29-24=5', '62-9=53']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 5+53=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 5*53=265, Resulting Numbers: [265]
265,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[62, 4], Operations: ['29-24=5', '9-5=4']
Exploring Operation: 62*4=248, Resulting Numbers: [248]
248,51 unequal: No Solution
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[9, 57], Operations: ['29-24=5', '62-5=57']
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[9, 62, 53], Operations: ['24+29=53']
Exploring Operation: 62-53=9, Resulting Numbers: [9, 9]
Generated Node #0,2,0: 51:[9, 9] Operation: 62-53=9
Exploring Operation: 53-9=44, Resulting Numbers: [62, 44]
Generated Node #0,2,1: 51:[62, 44] Operation: 53-9=44
Exploring Operation: 62-9=53, Resulting Numbers: [53, 53]
Generated Node #0,2,2: 51:[53, 53] Operation: 62-9=53
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[53, 53], Operations: ['24+29=53', '62-9=53']
Exploring Operation: 53/53=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 53+53=106, Resulting Numbers: [106]
106,51 unequal: No Solution
Exploring Operation: 53-53=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[9, 9], Operations: ['24+29=53', '62-53=9']
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[62, 44], Operations: ['24+29=53', '53-9=44']
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 62+44=106, Resulting Numbers: [106]
106,51 unequal: No Solution
Exploring Operation: 62*44=2728, Resulting Numbers: [2728]
2728,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[24, 29, 53], Operations: ['62-9=53']
Exploring Operation: 29-24=5, Resulting Numbers: [53, 5]
Generated Node #0,0,0: 51:[53, 5] Operation: 29-24=5
Exploring Operation: 24+29=53, Resulting Numbers: [53, 53]
Generated Node #0,0,1: 51:[53, 53] Operation: 24+29=53
Exploring Operation: 53-29=24, Resulting Numbers: [24, 24]
Generated Node #0,0,2: 51:[24, 24] Operation: 53-29=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[53, 5], Operations: ['62-9=53', '29-24=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 53*5=265, Resulting Numbers: [265]
265,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[53, 53], Operations: ['62-9=53', '24+29=53']
Exploring Operation: 53-53=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 53/53=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 53+53=106, Resulting Numbers: [106]
106,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[24, 24], Operations: ['62-9=53', '53-29=24']
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
61,
84,
59,
38
] | 92 | [
"61-59=2",
"84-38=46",
"2*46=92"
] | Current State: 92:[61, 84, 59, 38], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [84, 38, 2]
Generated Node #2: [84, 38, 2] from Operation: 61-59=2
Current State: 92:[84, 38, 2], Operations: ['61-59=2']
Exploring Operation: 84-38=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 84-38=46
Current State: 92:[2, 46], Operations: ['61-59=2', '84-38=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[61, 84, 59, 38], Operations: []
Exploring Operation: 84-61=23, Resulting Numbers: [59, 38, 23]
Generated Node #0,0: 92:[59, 38, 23] Operation: 84-61=23
Exploring Operation: 61-59=2, Resulting Numbers: [84, 38, 2]
Generated Node #0,1: 92:[84, 38, 2] Operation: 61-59=2
Moving to Node #0,1
Current State: 92:[84, 38, 2], Operations: ['61-59=2']
Exploring Operation: 84/2=42, Resulting Numbers: [38, 42]
Generated Node #0,1,0: 92:[38, 42] Operation: 84/2=42
Exploring Operation: 84-38=46, Resulting Numbers: [2, 46]
Generated Node #0,1,1: 92:[2, 46] Operation: 84-38=46
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[2, 46], Operations: ['61-59=2', '84-38=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[61, 84, 59, 38], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [84, 38, 2]
Generated Node #0,1: 92:[84, 38, 2] Operation: 61-59=2
Moving to Node #0,1
Current State: 92:[84, 38, 2], Operations: ['61-59=2']
Exploring Operation: 84-38=46, Resulting Numbers: [2, 46]
Generated Node #0,1,1: 92:[2, 46] Operation: 84-38=46
Moving to Node #0,1,1
Current State: 92:[2, 46], Operations: ['61-59=2', '84-38=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
2,
18,
52,
39
] | 23 | [
"2*18=36",
"52-39=13",
"36-13=23"
] | Current State: 23:[2, 18, 52, 39], Operations: []
Exploring Operation: 2*18=36, Resulting Numbers: [52, 39, 36]
Generated Node #2: [52, 39, 36] from Operation: 2*18=36
Current State: 23:[52, 39, 36], Operations: ['2*18=36']
Exploring Operation: 52-39=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 52-39=13
Current State: 23:[36, 13], Operations: ['2*18=36', '52-39=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[2, 18, 52, 39], Operations: []
Exploring Operation: 2+18=20, Resulting Numbers: [52, 39, 20]
Generated Node #0,0: 23:[52, 39, 20] Operation: 2+18=20
Exploring Operation: 52-39=13, Resulting Numbers: [2, 18, 13]
Generated Node #0,1: 23:[2, 18, 13] Operation: 52-39=13
Exploring Operation: 52/2=26, Resulting Numbers: [18, 39, 26]
Generated Node #0,2: 23:[18, 39, 26] Operation: 52/2=26
Exploring Operation: 52-2=50, Resulting Numbers: [18, 39, 50]
Generated Node #0,3: 23:[18, 39, 50] Operation: 52-2=50
Moving to Node #0,2
Current State: 23:[18, 39, 26], Operations: ['52/2=26']
Exploring Operation: 26-18=8, Resulting Numbers: [39, 8]
Generated Node #0,2,0: 23:[39, 8] Operation: 26-18=8
Exploring Operation: 18+39=57, Resulting Numbers: [26, 57]
Generated Node #0,2,1: 23:[26, 57] Operation: 18+39=57
Exploring Operation: 39-26=13, Resulting Numbers: [18, 13]
Generated Node #0,2,2: 23:[18, 13] Operation: 39-26=13
Exploring Operation: 39-18=21, Resulting Numbers: [26, 21]
Generated Node #0,2,3: 23:[26, 21] Operation: 39-18=21
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[26, 21], Operations: ['52/2=26', '39-18=21']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,23 unequal: No Solution
Exploring Operation: 26*21=546, Resulting Numbers: [546]
546,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[18, 13], Operations: ['52/2=26', '39-26=13']
Exploring Operation: 18*13=234, Resulting Numbers: [234]
234,23 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[39, 8], Operations: ['52/2=26', '26-18=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,23 unequal: No Solution
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,23 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[26, 57], Operations: ['52/2=26', '18+39=57']
Exploring Operation: 26*57=1482, Resulting Numbers: [1482]
1482,23 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,23 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: 23:[2, 18, 13], Operations: ['52-39=13']
Exploring Operation: 2+18=20, Resulting Numbers: [13, 20]
Generated Node #0,1,0: 23:[13, 20] Operation: 2+18=20
Exploring Operation: 2+13=15, Resulting Numbers: [18, 15]
Generated Node #0,1,1: 23:[18, 15] Operation: 2+13=15
Exploring Operation: 18-2=16, Resulting Numbers: [13, 16]
Generated Node #0,1,2: 23:[13, 16] Operation: 18-2=16
Exploring Operation: 2*13=26, Resulting Numbers: [18, 26]
Generated Node #0,1,3: 23:[18, 26] Operation: 2*13=26
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 23:[18, 26], Operations: ['52-39=13', '2*13=26']
Exploring Operation: 18*26=468, Resulting Numbers: [468]
468,23 unequal: No Solution
Exploring Operation: 18+26=44, Resulting Numbers: [44]
44,23 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[13, 20], Operations: ['52-39=13', '2+18=20']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[18, 15], Operations: ['52-39=13', '2+13=15']
Exploring Operation: 18*15=270, Resulting Numbers: [270]
270,23 unequal: No Solution
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[13, 16], Operations: ['52-39=13', '18-2=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,23 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: 23:[18, 39, 50], Operations: ['52-2=50']
Exploring Operation: 50-39=11, Resulting Numbers: [18, 11]
Generated Node #0,3,0: 23:[18, 11] Operation: 50-39=11
Exploring Operation: 18+39=57, Resulting Numbers: [50, 57]
Generated Node #0,3,1: 23:[50, 57] Operation: 18+39=57
Exploring Operation: 39-18=21, Resulting Numbers: [50, 21]
Generated Node #0,3,2: 23:[50, 21] Operation: 39-18=21
Exploring Operation: 50-18=32, Resulting Numbers: [39, 32]
Generated Node #0,3,3: 23:[39, 32] Operation: 50-18=32
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 23:[18, 11], Operations: ['52-2=50', '50-39=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,23 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 23:[39, 32], Operations: ['52-2=50', '50-18=32']
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,23 unequal: No Solution
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[50, 21], Operations: ['52-2=50', '39-18=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,23 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,23 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[50, 57], Operations: ['52-2=50', '18+39=57']
Exploring Operation: 50*57=2850, Resulting Numbers: [2850]
2850,23 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 50+57=107, Resulting Numbers: [107]
107,23 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: 23:[52, 39, 20], Operations: ['2+18=20']
Exploring Operation: 52-20=32, Resulting Numbers: [39, 32]
Generated Node #0,0,0: 23:[39, 32] Operation: 52-20=32
Exploring Operation: 52-39=13, Resulting Numbers: [20, 13]
Generated Node #0,0,1: 23:[20, 13] Operation: 52-39=13
Exploring Operation: 39-20=19, Resulting Numbers: [52, 19]
Generated Node #0,0,2: 23:[52, 19] Operation: 39-20=19
Exploring Operation: 52+20=72, Resulting Numbers: [39, 72]
Generated Node #0,0,3: 23:[39, 72] Operation: 52+20=72
Moving to Node #0,0,1
Current State: 23:[20, 13], Operations: ['2+18=20', '52-39=13']
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,23 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[39, 32], Operations: ['2+18=20', '52-20=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,23 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,23 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[52, 19], Operations: ['2+18=20', '39-20=19']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 52+19=71, Resulting Numbers: [71]
71,23 unequal: No Solution
Exploring Operation: 52*19=988, Resulting Numbers: [988]
988,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[39, 72], Operations: ['2+18=20', '52+20=72']
Exploring Operation: 39+72=111, Resulting Numbers: [111]
111,23 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 39*72=2808, Resulting Numbers: [2808]
2808,23 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
72,
74,
25,
10
] | 40 | [
"74-72=2",
"25*2=50",
"50-10=40"
] | Current State: 40:[72, 74, 25, 10], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [25, 10, 2]
Generated Node #2: [25, 10, 2] from Operation: 74-72=2
Current State: 40:[25, 10, 2], Operations: ['74-72=2']
Exploring Operation: 25*2=50, Resulting Numbers: [10, 50]
Generated Node #3: [10, 50] from Operation: 25*2=50
Current State: 40:[10, 50], Operations: ['74-72=2', '25*2=50']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[72, 74, 25, 10], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [25, 10, 2]
Generated Node #0,0: 40:[25, 10, 2] Operation: 74-72=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[25, 10, 2], Operations: ['74-72=2']
Exploring Operation: 25-2=23, Resulting Numbers: [10, 23]
Generated Node #0,0,0: 40:[10, 23] Operation: 25-2=23
Moving to Node #0,0,0
Current State: 40:[10, 23], Operations: ['74-72=2', '25-2=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,40 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 |
[
36,
35,
88,
77
] | 11 | [
"36-35=1",
"88-77=11",
"1*11=11"
] | Current State: 11:[36, 35, 88, 77], Operations: []
Exploring Operation: 36-35=1, Resulting Numbers: [88, 77, 1]
Generated Node #2: [88, 77, 1] from Operation: 36-35=1
Current State: 11:[88, 77, 1], Operations: ['36-35=1']
Exploring Operation: 88-77=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 88-77=11
Current State: 11:[1, 11], Operations: ['36-35=1', '88-77=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[36, 35, 88, 77], Operations: []
Exploring Operation: 77-36=41, Resulting Numbers: [35, 88, 41]
Generated Node #0,0: 11:[35, 88, 41] Operation: 77-36=41
Exploring Operation: 88-36=52, Resulting Numbers: [35, 77, 52]
Generated Node #0,1: 11:[35, 77, 52] Operation: 88-36=52
Exploring Operation: 88-35=53, Resulting Numbers: [36, 77, 53]
Generated Node #0,2: 11:[36, 77, 53] Operation: 88-35=53
Exploring Operation: 77-35=42, Resulting Numbers: [36, 88, 42]
Generated Node #0,3: 11:[36, 88, 42] Operation: 77-35=42
Exploring Operation: 88-77=11, Resulting Numbers: [36, 35, 11]
Generated Node #0,4: 11:[36, 35, 11] Operation: 88-77=11
Start Sub Search at level 1: Moving to Node #0,4
Current State: 11:[36, 35, 11], Operations: ['88-77=11']
Exploring Operation: 36+35=71, Resulting Numbers: [11, 71]
Generated Node #0,4,0: 11:[11, 71] Operation: 36+35=71
Exploring Operation: 36-35=1, Resulting Numbers: [11, 1]
Generated Node #0,4,1: 11:[11, 1] Operation: 36-35=1
Exploring Operation: 36-11=25, Resulting Numbers: [35, 25]
Generated Node #0,4,2: 11:[35, 25] Operation: 36-11=25
Exploring Operation: 35-11=24, Resulting Numbers: [36, 24]
Generated Node #0,4,3: 11:[36, 24] Operation: 35-11=24
Exploring Operation: 36+11=47, Resulting Numbers: [35, 47]
Generated Node #0,4,4: 11:[35, 47] Operation: 36+11=47
Moving to Node #0,4,1
Current State: 11:[11, 1], Operations: ['88-77=11', '36-35=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[36, 35, 88, 77], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [36, 35, 11]
Generated Node #0,4: 11:[36, 35, 11] Operation: 88-77=11
Moving to Node #0,4
Current State: 11:[36, 35, 11], Operations: ['88-77=11']
Exploring Operation: 36-35=1, Resulting Numbers: [11, 1]
Generated Node #0,4,1: 11:[11, 1] Operation: 36-35=1
Moving to Node #0,4,1
Current State: 11:[11, 1], Operations: ['88-77=11', '36-35=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
14,
99,
14,
7
] | 66 | [
"14*99=1386",
"14+7=21",
"1386/21=66"
] | Current State: 66:[14, 99, 14, 7], Operations: []
Exploring Operation: 14*99=1386, Resulting Numbers: [7, 1386]
Generated Node #2: [7, 1386] from Operation: 14*99=1386
Current State: 66:[7, 1386], Operations: ['14*99=1386']
Exploring Operation: 14+7=21, Resulting Numbers: [1386, 21]
Generated Node #3: [1386, 21] from Operation: 14+7=21
Current State: 66:[1386, 21], Operations: ['14*99=1386', '14+7=21']
Exploring Operation: 1386/21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[14, 99, 14, 7], Operations: []
Exploring Operation: 99-14=85, Resulting Numbers: [14, 7, 85]
Generated Node #0,0: 66:[14, 7, 85] Operation: 99-14=85
Exploring Operation: 99-14=85, Resulting Numbers: [14, 7, 85]
Generated Node #0,1: 66:[14, 7, 85] Operation: 99-14=85
Moving to Node #0,0
Current State: 66:[14, 7, 85], Operations: ['99-14=85']
Exploring Operation: 85-7=78, Resulting Numbers: [14, 78]
Generated Node #0,0,0: 66:[14, 78] Operation: 85-7=78
Exploring Operation: 85-14=71, Resulting Numbers: [7, 71]
Generated Node #0,0,1: 66:[7, 71] Operation: 85-14=71
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[7, 71], Operations: ['99-14=85', '85-14=71']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Exploring Operation: 7+71=78, Resulting Numbers: [78]
78,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[14, 78], Operations: ['99-14=85', '85-7=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,66 unequal: No Solution
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,66 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: 66:[14, 7, 85], Operations: ['99-14=85']
Exploring Operation: 85-14=71, Resulting Numbers: [7, 71]
Generated Node #0,1,0: 66:[7, 71] Operation: 85-14=71
Exploring Operation: 85-7=78, Resulting Numbers: [14, 78]
Generated Node #0,1,1: 66:[14, 78] Operation: 85-7=78
Moving to Node #0,1,0
Current State: 66:[7, 71], Operations: ['99-14=85', '85-14=71']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Exploring Operation: 7+71=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[14, 78], Operations: ['99-14=85', '85-7=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,66 unequal: No Solution
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,66 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
11,
70,
42,
81
] | 79 | [
"81-70=11",
"11*11=121",
"121-42=79"
] | Current State: 79:[11, 70, 42, 81], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [11, 42, 11]
Generated Node #2: [11, 42, 11] from Operation: 81-70=11
Current State: 79:[11, 42, 11], Operations: ['81-70=11']
Exploring Operation: 11*11=121, Resulting Numbers: [42, 121]
Generated Node #3: [42, 121] from Operation: 11*11=121
Current State: 79:[42, 121], Operations: ['81-70=11', '11*11=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[11, 70, 42, 81], Operations: []
Exploring Operation: 11+70=81, Resulting Numbers: [42, 81, 81]
Generated Node #0,0: 79:[42, 81, 81] Operation: 11+70=81
Exploring Operation: 70-11=59, Resulting Numbers: [42, 81, 59]
Generated Node #0,1: 79:[42, 81, 59] Operation: 70-11=59
Exploring Operation: 11+42=53, Resulting Numbers: [70, 81, 53]
Generated Node #0,2: 79:[70, 81, 53] Operation: 11+42=53
Exploring Operation: 81-11=70, Resulting Numbers: [70, 42, 70]
Generated Node #0,3: 79:[70, 42, 70] Operation: 81-11=70
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[70, 81, 53], Operations: ['11+42=53']
Exploring Operation: 81-53=28, Resulting Numbers: [70, 28]
Generated Node #0,2,0: 79:[70, 28] Operation: 81-53=28
Exploring Operation: 70-53=17, Resulting Numbers: [81, 17]
Generated Node #0,2,1: 79:[81, 17] Operation: 70-53=17
Exploring Operation: 70+53=123, Resulting Numbers: [81, 123]
Generated Node #0,2,2: 79:[81, 123] Operation: 70+53=123
Exploring Operation: 81+53=134, Resulting Numbers: [70, 134]
Generated Node #0,2,3: 79:[70, 134] Operation: 81+53=134
Moving to Node #0,2,2
Current State: 79:[81, 123], Operations: ['11+42=53', '70+53=123']
Exploring Operation: 81*123=9963, Resulting Numbers: [9963]
9963,79 unequal: No Solution
Exploring Operation: 81+123=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 123-81=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[70, 28], Operations: ['11+42=53', '81-53=28']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[70, 134], Operations: ['11+42=53', '81+53=134']
Exploring Operation: 134-70=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 70+134=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 70*134=9380, Resulting Numbers: [9380]
9380,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[81, 17], Operations: ['11+42=53', '70-53=17']
Exploring Operation: 81*17=1377, Resulting Numbers: [1377]
1377,79 unequal: No Solution
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[42, 81, 81], Operations: ['11+70=81']
Exploring Operation: 42+81=123, Resulting Numbers: [81, 123]
Generated Node #0,0,0: 79:[81, 123] Operation: 42+81=123
Exploring Operation: 81-42=39, Resulting Numbers: [81, 39]
Generated Node #0,0,1: 79:[81, 39] Operation: 81-42=39
Exploring Operation: 81-42=39, Resulting Numbers: [81, 39]
Generated Node #0,0,2: 79:[81, 39] Operation: 81-42=39
Exploring Operation: 42+81=123, Resulting Numbers: [81, 123]
Generated Node #0,0,3: 79:[81, 123] Operation: 42+81=123
Moving to Node #0,0,1
Current State: 79:[81, 39], Operations: ['11+70=81', '81-42=39']
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[81, 39], Operations: ['11+70=81', '81-42=39']
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[81, 123], Operations: ['11+70=81', '42+81=123']
Exploring Operation: 81*123=9963, Resulting Numbers: [9963]
9963,79 unequal: No Solution
Exploring Operation: 81+123=204, Resulting Numbers: [204]
204,79 unequal: No Solution
Exploring Operation: 123-81=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[81, 123], Operations: ['11+70=81', '42+81=123']
Exploring Operation: 123-81=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 81*123=9963, Resulting Numbers: [9963]
9963,79 unequal: No Solution
Exploring Operation: 81+123=204, Resulting Numbers: [204]
204,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[70, 42, 70], Operations: ['81-11=70']
Exploring Operation: 70-42=28, Resulting Numbers: [70, 28]
Generated Node #0,3,0: 79:[70, 28] Operation: 70-42=28
Exploring Operation: 70-42=28, Resulting Numbers: [70, 28]
Generated Node #0,3,1: 79:[70, 28] Operation: 70-42=28
Exploring Operation: 70+42=112, Resulting Numbers: [70, 112]
Generated Node #0,3,2: 79:[70, 112] Operation: 70+42=112
Exploring Operation: 42+70=112, Resulting Numbers: [70, 112]
Generated Node #0,3,3: 79:[70, 112] Operation: 42+70=112
Moving to Node #0,3,2
Current State: 79:[70, 112], Operations: ['81-11=70', '70+42=112']
Exploring Operation: 70+112=182, Resulting Numbers: [182]
182,79 unequal: No Solution
Exploring Operation: 112-70=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 70*112=7840, Resulting Numbers: [7840]
7840,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[70, 112], Operations: ['81-11=70', '42+70=112']
Exploring Operation: 70+112=182, Resulting Numbers: [182]
182,79 unequal: No Solution
Exploring Operation: 112-70=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 70*112=7840, Resulting Numbers: [7840]
7840,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[70, 28], Operations: ['81-11=70', '70-42=28']
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,79 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[70, 28], Operations: ['81-11=70', '70-42=28']
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,79 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[42, 81, 59], Operations: ['70-11=59']
Exploring Operation: 42+59=101, Resulting Numbers: [81, 101]
Generated Node #0,1,0: 79:[81, 101] Operation: 42+59=101
Exploring Operation: 59-42=17, Resulting Numbers: [81, 17]
Generated Node #0,1,1: 79:[81, 17] Operation: 59-42=17
Exploring Operation: 81-42=39, Resulting Numbers: [59, 39]
Generated Node #0,1,2: 79:[59, 39] Operation: 81-42=39
Exploring Operation: 42+81=123, Resulting Numbers: [59, 123]
Generated Node #0,1,3: 79:[59, 123] Operation: 42+81=123
Moving to Node #0,1,0
Current State: 79:[81, 101], Operations: ['70-11=59', '42+59=101']
Exploring Operation: 81*101=8181, Resulting Numbers: [8181]
8181,79 unequal: No Solution
Exploring Operation: 81+101=182, Resulting Numbers: [182]
182,79 unequal: No Solution
Exploring Operation: 101-81=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[59, 39], Operations: ['70-11=59', '81-42=39']
Exploring Operation: 59*39=2301, Resulting Numbers: [2301]
2301,79 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[59, 123], Operations: ['70-11=59', '42+81=123']
Exploring Operation: 123-59=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 59*123=7257, Resulting Numbers: [7257]
7257,79 unequal: No Solution
Exploring Operation: 59+123=182, Resulting Numbers: [182]
182,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[81, 17], Operations: ['70-11=59', '59-42=17']
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 81*17=1377, Resulting Numbers: [1377]
1377,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
30,
41,
88,
10
] | 22 | [
"41-30=11",
"10*11=110",
"110-88=22"
] | Current State: 22:[30, 41, 88, 10], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [88, 10, 11]
Generated Node #2: [88, 10, 11] from Operation: 41-30=11
Current State: 22:[88, 10, 11], Operations: ['41-30=11']
Exploring Operation: 10*11=110, Resulting Numbers: [88, 110]
Generated Node #3: [88, 110] from Operation: 10*11=110
Current State: 22:[88, 110], Operations: ['41-30=11', '10*11=110']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[30, 41, 88, 10], Operations: []
Exploring Operation: 88-30=58, Resulting Numbers: [41, 10, 58]
Generated Node #0,0: 22:[41, 10, 58] Operation: 88-30=58
Exploring Operation: 88-41=47, Resulting Numbers: [30, 10, 47]
Generated Node #0,1: 22:[30, 10, 47] Operation: 88-41=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[30, 10, 47], Operations: ['88-41=47']
Exploring Operation: 47-10=37, Resulting Numbers: [30, 37]
Generated Node #0,1,0: 22:[30, 37] Operation: 47-10=37
Exploring Operation: 47-30=17, Resulting Numbers: [10, 17]
Generated Node #0,1,1: 22:[10, 17] Operation: 47-30=17
Moving to Node #0,1,1
Current State: 22:[10, 17], Operations: ['88-41=47', '47-30=17']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[30, 37], Operations: ['88-41=47', '47-10=37']
Exploring Operation: 30+37=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[41, 10, 58], Operations: ['88-30=58']
Exploring Operation: 41-10=31, Resulting Numbers: [58, 31]
Generated Node #0,0,0: 22:[58, 31] Operation: 41-10=31
Exploring Operation: 58-41=17, Resulting Numbers: [10, 17]
Generated Node #0,0,1: 22:[10, 17] Operation: 58-41=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[10, 17], Operations: ['88-30=58', '58-41=17']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[58, 31], Operations: ['88-30=58', '41-10=31']
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
47,
5,
16,
91
] | 58 | [
"47+91=138",
"5*16=80",
"138-80=58"
] | Current State: 58:[47, 5, 16, 91], Operations: []
Exploring Operation: 47+91=138, Resulting Numbers: [5, 16, 138]
Generated Node #2: [5, 16, 138] from Operation: 47+91=138
Current State: 58:[5, 16, 138], Operations: ['47+91=138']
Exploring Operation: 5*16=80, Resulting Numbers: [138, 80]
Generated Node #3: [138, 80] from Operation: 5*16=80
Current State: 58:[138, 80], Operations: ['47+91=138', '5*16=80']
Exploring Operation: 138-80=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[47, 5, 16, 91], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [5, 16, 44]
Generated Node #0,0: 58:[5, 16, 44] Operation: 91-47=44
Moving to Node #0,0
Current State: 58:[5, 16, 44], Operations: ['91-47=44']
Exploring Operation: 44-16=28, Resulting Numbers: [5, 28]
Generated Node #0,0,0: 58:[5, 28] Operation: 44-16=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[5, 28], Operations: ['91-47=44', '44-16=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
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