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 |
|---|---|---|---|---|---|---|---|---|
[
76,
9,
73,
30
] | 13 | [
"76-73=3",
"9+30=39",
"39/3=13"
] | Current State: 13:[76, 9, 73, 30], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [9, 30, 3]
Generated Node #2: [9, 30, 3] from Operation: 76-73=3
Current State: 13:[9, 30, 3], Operations: ['76-73=3']
Exploring Operation: 9+30=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 9+30=39
Current State: 13:[3, 39], Operations: ['76-73=3', '9+30=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[76, 9, 73, 30], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [9, 30, 3]
Generated Node #0,0: 13:[9, 30, 3] Operation: 76-73=3
Exploring Operation: 76-30=46, Resulting Numbers: [9, 73, 46]
Generated Node #0,1: 13:[9, 73, 46] Operation: 76-30=46
Moving to Node #0,0
Current State: 13:[9, 30, 3], Operations: ['76-73=3']
Exploring Operation: 30/3=10, Resulting Numbers: [9, 10]
Generated Node #0,0,0: 13:[9, 10] Operation: 30/3=10
Exploring Operation: 30-9=21, Resulting Numbers: [3, 21]
Generated Node #0,0,1: 13:[3, 21] Operation: 30-9=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[9, 10], Operations: ['76-73=3', '30/3=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,13 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[3, 21], Operations: ['76-73=3', '30-9=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,13 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: 13:[9, 73, 46], Operations: ['76-30=46']
Exploring Operation: 73-9=64, Resulting Numbers: [46, 64]
Generated Node #0,1,0: 13:[46, 64] Operation: 73-9=64
Exploring Operation: 73-46=27, Resulting Numbers: [9, 27]
Generated Node #0,1,1: 13:[9, 27] Operation: 73-46=27
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[9, 27], Operations: ['76-30=46', '73-46=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,13 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,13 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 #0,1,0
Current State: 13:[46, 64], Operations: ['76-30=46', '73-9=64']
Exploring Operation: 46+64=110, Resulting Numbers: [110]
110,13 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,13 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 |
[
61,
77,
16,
53
] | 54 | [
"77-61=16",
"16/16=1",
"53+1=54"
] | Current State: 54:[61, 77, 16, 53], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [16, 53, 16]
Generated Node #2: [16, 53, 16] from Operation: 77-61=16
Current State: 54:[16, 53, 16], Operations: ['77-61=16']
Exploring Operation: 16/16=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 16/16=1
Current State: 54:[53, 1], Operations: ['77-61=16', '16/16=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[61, 77, 16, 53], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [16, 53, 16]
Generated Node #0,0: 54:[16, 53, 16] Operation: 77-61=16
Exploring Operation: 61-53=8, Resulting Numbers: [77, 16, 8]
Generated Node #0,1: 54:[77, 16, 8] Operation: 61-53=8
Exploring Operation: 77-16=61, Resulting Numbers: [61, 53, 61]
Generated Node #0,2: 54:[61, 53, 61] Operation: 77-16=61
Exploring Operation: 77-53=24, Resulting Numbers: [61, 16, 24]
Generated Node #0,3: 54:[61, 16, 24] Operation: 77-53=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[16, 53, 16], Operations: ['77-61=16']
Exploring Operation: 53-16=37, Resulting Numbers: [16, 37]
Generated Node #0,0,0: 54:[16, 37] Operation: 53-16=37
Exploring Operation: 16+16=32, Resulting Numbers: [53, 32]
Generated Node #0,0,1: 54:[53, 32] Operation: 16+16=32
Exploring Operation: 16/16=1, Resulting Numbers: [53, 1]
Generated Node #0,0,2: 54:[53, 1] Operation: 16/16=1
Exploring Operation: 16-16=0, Resulting Numbers: [53, 0]
Generated Node #0,0,3: 54:[53, 0] Operation: 16-16=0
Moving to Node #0,0,2
Current State: 54:[53, 1], Operations: ['77-61=16', '16/16=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,54 unequal: No Solution
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[61, 77, 16, 53], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [16, 53, 16]
Generated Node #0,0: 54:[16, 53, 16] Operation: 77-61=16
Moving to Node #0,0
Current State: 54:[16, 53, 16], Operations: ['77-61=16']
Exploring Operation: 16/16=1, Resulting Numbers: [53, 1]
Generated Node #0,0,2: 54:[53, 1] Operation: 16/16=1
Moving to Node #0,0,2
Current State: 54:[53, 1], Operations: ['77-61=16', '16/16=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
91,
37,
76,
93
] | 71 | [
"91-37=54",
"93-76=17",
"54+17=71"
] | Current State: 71:[91, 37, 76, 93], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [76, 93, 54]
Generated Node #2: [76, 93, 54] from Operation: 91-37=54
Current State: 71:[76, 93, 54], Operations: ['91-37=54']
Exploring Operation: 93-76=17, Resulting Numbers: [54, 17]
Generated Node #3: [54, 17] from Operation: 93-76=17
Current State: 71:[54, 17], Operations: ['91-37=54', '93-76=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[91, 37, 76, 93], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [91, 93, 39]
Generated Node #0,0: 71:[91, 93, 39] Operation: 76-37=39
Exploring Operation: 93-37=56, Resulting Numbers: [91, 76, 56]
Generated Node #0,1: 71:[91, 76, 56] Operation: 93-37=56
Exploring Operation: 91-37=54, Resulting Numbers: [76, 93, 54]
Generated Node #0,2: 71:[76, 93, 54] Operation: 91-37=54
Exploring Operation: 91+37=128, Resulting Numbers: [76, 93, 128]
Generated Node #0,3: 71:[76, 93, 128] Operation: 91+37=128
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[91, 76, 56], Operations: ['93-37=56']
Exploring Operation: 91-56=35, Resulting Numbers: [76, 35]
Generated Node #0,1,0: 71:[76, 35] Operation: 91-56=35
Exploring Operation: 91+56=147, Resulting Numbers: [76, 147]
Generated Node #0,1,1: 71:[76, 147] Operation: 91+56=147
Exploring Operation: 76-56=20, Resulting Numbers: [91, 20]
Generated Node #0,1,2: 71:[91, 20] Operation: 76-56=20
Exploring Operation: 91-76=15, Resulting Numbers: [56, 15]
Generated Node #0,1,3: 71:[56, 15] Operation: 91-76=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[76, 35], Operations: ['93-37=56', '91-56=35']
Exploring Operation: 76*35=2660, Resulting Numbers: [2660]
2660,71 unequal: No Solution
Exploring Operation: 76+35=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,71 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:[91, 20], Operations: ['93-37=56', '76-56=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[91, 37, 76, 93], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [91, 76, 56]
Generated Node #0,1: 71:[91, 76, 56] Operation: 93-37=56
Moving to Node #0,1
Current State: 71:[91, 76, 56], Operations: ['93-37=56']
Exploring Operation: 76-56=20, Resulting Numbers: [91, 20]
Generated Node #0,1,2: 71:[91, 20] Operation: 76-56=20
Moving to Node #0,1,2
Current State: 71:[91, 20], Operations: ['93-37=56', '76-56=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
11,
28,
14,
7
] | 98 | [
"11-7=4",
"28*14=392",
"392/4=98"
] | Current State: 98:[11, 28, 14, 7], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [28, 14, 4]
Generated Node #2: [28, 14, 4] from Operation: 11-7=4
Current State: 98:[28, 14, 4], Operations: ['11-7=4']
Exploring Operation: 28*14=392, Resulting Numbers: [4, 392]
Generated Node #3: [4, 392] from Operation: 28*14=392
Current State: 98:[4, 392], Operations: ['11-7=4', '28*14=392']
Exploring Operation: 392/4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[11, 28, 14, 7], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [11, 7, 2]
Generated Node #0,0: 98:[11, 7, 2] Operation: 28/14=2
Exploring Operation: 28/7=4, Resulting Numbers: [11, 14, 4]
Generated Node #0,1: 98:[11, 14, 4] Operation: 28/7=4
Exploring Operation: 28-14=14, Resulting Numbers: [11, 7, 14]
Generated Node #0,2: 98:[11, 7, 14] Operation: 28-14=14
Exploring Operation: 28-11=17, Resulting Numbers: [14, 7, 17]
Generated Node #0,3: 98:[14, 7, 17] Operation: 28-11=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[11, 7, 2], Operations: ['28/14=2']
Exploring Operation: 11-7=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 98:[2, 4] Operation: 11-7=4
Exploring Operation: 11+2=13, Resulting Numbers: [7, 13]
Generated Node #0,0,1: 98:[7, 13] Operation: 11+2=13
Exploring Operation: 11-2=9, Resulting Numbers: [7, 9]
Generated Node #0,0,2: 98:[7, 9] Operation: 11-2=9
Exploring Operation: 7*2=14, Resulting Numbers: [11, 14]
Generated Node #0,0,3: 98:[11, 14] Operation: 7*2=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[7, 13], Operations: ['28/14=2', '11+2=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[2, 4], Operations: ['28/14=2', '11-7=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[7, 9], Operations: ['28/14=2', '11-2=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[11, 14], Operations: ['28/14=2', '7*2=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,98 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[11, 7, 14], Operations: ['28-14=14']
Exploring Operation: 14-7=7, Resulting Numbers: [11, 7]
Generated Node #0,2,0: 98:[11, 7] Operation: 14-7=7
Exploring Operation: 11-7=4, Resulting Numbers: [14, 4]
Generated Node #0,2,1: 98:[14, 4] Operation: 11-7=4
Exploring Operation: 7*14=98, Resulting Numbers: [11, 98]
Generated Node #0,2,2: 98:[11, 98] Operation: 7*14=98
Exploring Operation: 14-11=3, Resulting Numbers: [7, 3]
Generated Node #0,2,3: 98:[7, 3] Operation: 14-11=3
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 98:[7, 3], Operations: ['28-14=14', '14-11=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[14, 4], Operations: ['28-14=14', '11-7=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[11, 7], Operations: ['28-14=14', '14-7=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,98 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,98 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 98:[11, 98], Operations: ['28-14=14', '7*14=98']
Exploring Operation: 11+98=109, Resulting Numbers: [109]
109,98 unequal: No Solution
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,98 unequal: No Solution
Exploring Operation: 11*98=1078, Resulting Numbers: [1078]
1078,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[14, 7, 17], Operations: ['28-11=17']
Exploring Operation: 14*7=98, Resulting Numbers: [17, 98]
Generated Node #0,3,0: 98:[17, 98] Operation: 14*7=98
Exploring Operation: 14-7=7, Resulting Numbers: [17, 7]
Generated Node #0,3,1: 98:[17, 7] Operation: 14-7=7
Exploring Operation: 17-14=3, Resulting Numbers: [7, 3]
Generated Node #0,3,2: 98:[7, 3] Operation: 17-14=3
Exploring Operation: 14/7=2, Resulting Numbers: [17, 2]
Generated Node #0,3,3: 98:[17, 2] Operation: 14/7=2
Moving to Node #0,3,2
Current State: 98:[7, 3], Operations: ['28-11=17', '17-14=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[17, 7], Operations: ['28-11=17', '14-7=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,98 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[17, 98], Operations: ['28-11=17', '14*7=98']
Exploring Operation: 17+98=115, Resulting Numbers: [115]
115,98 unequal: No Solution
Exploring Operation: 17*98=1666, Resulting Numbers: [1666]
1666,98 unequal: No Solution
Exploring Operation: 98-17=81, Resulting Numbers: [81]
81,98 unequal: No Solution
Moving to Node #0,3,3
Current State: 98:[17, 2], Operations: ['28-11=17', '14/7=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,98 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[11, 14, 4], Operations: ['28/7=4']
Exploring Operation: 11-4=7, Resulting Numbers: [14, 7]
Generated Node #0,1,0: 98:[14, 7] Operation: 11-4=7
Exploring Operation: 11+4=15, Resulting Numbers: [14, 15]
Generated Node #0,1,1: 98:[14, 15] Operation: 11+4=15
Exploring Operation: 14-11=3, Resulting Numbers: [4, 3]
Generated Node #0,1,2: 98:[4, 3] Operation: 14-11=3
Exploring Operation: 11*4=44, Resulting Numbers: [14, 44]
Generated Node #0,1,3: 98:[14, 44] Operation: 11*4=44
Moving to Node #0,1,0
Current State: 98:[14, 7], Operations: ['28/7=4', '11-4=7']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[11, 28, 14, 7], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [11, 14, 4]
Generated Node #0,1: 98:[11, 14, 4] Operation: 28/7=4
Moving to Node #0,1
Current State: 98:[11, 14, 4], Operations: ['28/7=4']
Exploring Operation: 11-4=7, Resulting Numbers: [14, 7]
Generated Node #0,1,0: 98:[14, 7] Operation: 11-4=7
Moving to Node #0,1,0
Current State: 98:[14, 7], Operations: ['28/7=4', '11-4=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.944444 | hs_4 | sum_heuristic |
[
45,
31,
38,
67
] | 90 | [
"31+38=69",
"69-67=2",
"45*2=90"
] | Current State: 90:[45, 31, 38, 67], Operations: []
Exploring Operation: 31+38=69, Resulting Numbers: [45, 67, 69]
Generated Node #2: [45, 67, 69] from Operation: 31+38=69
Current State: 90:[45, 67, 69], Operations: ['31+38=69']
Exploring Operation: 69-67=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 69-67=2
Current State: 90:[45, 2], Operations: ['31+38=69', '69-67=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[45, 31, 38, 67], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [45, 31, 29]
Generated Node #0,0: 90:[45, 31, 29] Operation: 67-38=29
Exploring Operation: 67-45=22, Resulting Numbers: [31, 38, 22]
Generated Node #0,1: 90:[31, 38, 22] Operation: 67-45=22
Moving to Node #0,0
Current State: 90:[45, 31, 29], Operations: ['67-38=29']
Exploring Operation: 45-31=14, Resulting Numbers: [29, 14]
Generated Node #0,0,0: 90:[29, 14] Operation: 45-31=14
Exploring Operation: 31-29=2, Resulting Numbers: [45, 2]
Generated Node #0,0,1: 90:[45, 2] Operation: 31-29=2
Moving to Node #0,1
Current State: 90:[31, 38, 22], Operations: ['67-45=22']
Exploring Operation: 38-22=16, Resulting Numbers: [31, 16]
Generated Node #0,1,0: 90:[31, 16] Operation: 38-22=16
Exploring Operation: 38-31=7, Resulting Numbers: [22, 7]
Generated Node #0,1,1: 90:[22, 7] Operation: 38-31=7
Moving to Node #0,0,1
Current State: 90:[45, 2], Operations: ['67-38=29', '31-29=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[45, 31, 38, 67], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [45, 31, 29]
Generated Node #0,0: 90:[45, 31, 29] Operation: 67-38=29
Moving to Node #0,0
Current State: 90:[45, 31, 29], Operations: ['67-38=29']
Exploring Operation: 31-29=2, Resulting Numbers: [45, 2]
Generated Node #0,0,1: 90:[45, 2] Operation: 31-29=2
Moving to Node #0,0,1
Current State: 90:[45, 2], Operations: ['67-38=29', '31-29=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
48,
44,
66,
30
] | 12 | [
"48-30=18",
"44*18=792",
"792/66=12"
] | Current State: 12:[48, 44, 66, 30], Operations: []
Exploring Operation: 48-30=18, Resulting Numbers: [44, 66, 18]
Generated Node #2: [44, 66, 18] from Operation: 48-30=18
Current State: 12:[44, 66, 18], Operations: ['48-30=18']
Exploring Operation: 44*18=792, Resulting Numbers: [66, 792]
Generated Node #3: [66, 792] from Operation: 44*18=792
Current State: 12:[66, 792], Operations: ['48-30=18', '44*18=792']
Exploring Operation: 792/66=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[48, 44, 66, 30], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [44, 30, 18]
Generated Node #0,0: 12:[44, 30, 18] Operation: 66-48=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[44, 30, 18], Operations: ['66-48=18']
Exploring Operation: 44-30=14, Resulting Numbers: [18, 14]
Generated Node #0,0,0: 12:[18, 14] Operation: 44-30=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[18, 14], Operations: ['66-48=18', '44-30=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
82,
6,
94
] | 26 | [
"82-8=74",
"6+94=100",
"100-74=26"
] | Current State: 26:[8, 82, 6, 94], Operations: []
Exploring Operation: 82-8=74, Resulting Numbers: [6, 94, 74]
Generated Node #2: [6, 94, 74] from Operation: 82-8=74
Current State: 26:[6, 94, 74], Operations: ['82-8=74']
Exploring Operation: 6+94=100, Resulting Numbers: [74, 100]
Generated Node #3: [74, 100] from Operation: 6+94=100
Current State: 26:[74, 100], Operations: ['82-8=74', '6+94=100']
Exploring Operation: 100-74=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[8, 82, 6, 94], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [8, 6, 12]
Generated Node #0,0: 26:[8, 6, 12] Operation: 94-82=12
Moving to Node #0,0
Current State: 26:[8, 6, 12], Operations: ['94-82=12']
Exploring Operation: 8-6=2, Resulting Numbers: [12, 2]
Generated Node #0,0,0: 26:[12, 2] Operation: 8-6=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[12, 2], Operations: ['94-82=12', '8-6=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
27,
77,
13,
32
] | 40 | [
"27+77=104",
"104/13=8",
"32+8=40"
] | Current State: 40:[27, 77, 13, 32], Operations: []
Exploring Operation: 27+77=104, Resulting Numbers: [13, 32, 104]
Generated Node #2: [13, 32, 104] from Operation: 27+77=104
Current State: 40:[13, 32, 104], Operations: ['27+77=104']
Exploring Operation: 104/13=8, Resulting Numbers: [32, 8]
Generated Node #3: [32, 8] from Operation: 104/13=8
Current State: 40:[32, 8], Operations: ['27+77=104', '104/13=8']
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[27, 77, 13, 32], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [27, 13, 45]
Generated Node #0,0: 40:[27, 13, 45] Operation: 77-32=45
Exploring Operation: 77-27=50, Resulting Numbers: [13, 32, 50]
Generated Node #0,1: 40:[13, 32, 50] Operation: 77-27=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[27, 13, 45], Operations: ['77-32=45']
Exploring Operation: 27+13=40, Resulting Numbers: [45, 40]
Generated Node #0,0,0: 40:[45, 40] Operation: 27+13=40
Exploring Operation: 45-27=18, Resulting Numbers: [13, 18]
Generated Node #0,0,1: 40:[13, 18] Operation: 45-27=18
Moving to Node #0,0,0
Current State: 40:[45, 40], Operations: ['77-32=45', '27+13=40']
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[13, 18], Operations: ['77-32=45', '45-27=18']
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,40 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
Current State: 40:[13, 32, 50], Operations: ['77-27=50']
Exploring Operation: 50-32=18, Resulting Numbers: [13, 18]
Generated Node #0,1,0: 40:[13, 18] Operation: 50-32=18
Exploring Operation: 32-13=19, Resulting Numbers: [50, 19]
Generated Node #0,1,1: 40:[50, 19] Operation: 32-13=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[13, 18], Operations: ['77-27=50', '50-32=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,40 unequal: No Solution
No 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: 40:[50, 19], Operations: ['77-27=50', '32-13=19']
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,40 unequal: No Solution
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
56,
31,
13,
33
] | 15 | [
"33-31=2",
"56/2=28",
"28-13=15"
] | Current State: 15:[56, 31, 13, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [56, 13, 2]
Generated Node #2: [56, 13, 2] from Operation: 33-31=2
Current State: 15:[56, 13, 2], Operations: ['33-31=2']
Exploring Operation: 56/2=28, Resulting Numbers: [13, 28]
Generated Node #3: [13, 28] from Operation: 56/2=28
Current State: 15:[13, 28], Operations: ['33-31=2', '56/2=28']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[56, 31, 13, 33], Operations: []
Exploring Operation: 31-13=18, Resulting Numbers: [56, 33, 18]
Generated Node #0,0: 15:[56, 33, 18] Operation: 31-13=18
Exploring Operation: 56-31=25, Resulting Numbers: [13, 33, 25]
Generated Node #0,1: 15:[13, 33, 25] Operation: 56-31=25
Exploring Operation: 56-13=43, Resulting Numbers: [31, 33, 43]
Generated Node #0,2: 15:[31, 33, 43] Operation: 56-13=43
Exploring Operation: 56-33=23, Resulting Numbers: [31, 13, 23]
Generated Node #0,3: 15:[31, 13, 23] Operation: 56-33=23
Exploring Operation: 33-31=2, Resulting Numbers: [56, 13, 2]
Generated Node #0,4: 15:[56, 13, 2] Operation: 33-31=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[31, 13, 23], Operations: ['56-33=23']
Exploring Operation: 31+13=44, Resulting Numbers: [23, 44]
Generated Node #0,3,0: 15:[23, 44] Operation: 31+13=44
Exploring Operation: 31-23=8, Resulting Numbers: [13, 8]
Generated Node #0,3,1: 15:[13, 8] Operation: 31-23=8
Exploring Operation: 31-13=18, Resulting Numbers: [23, 18]
Generated Node #0,3,2: 15:[23, 18] Operation: 31-13=18
Exploring Operation: 23-13=10, Resulting Numbers: [31, 10]
Generated Node #0,3,3: 15:[31, 10] Operation: 23-13=10
Exploring Operation: 13+23=36, Resulting Numbers: [31, 36]
Generated Node #0,3,4: 15:[31, 36] Operation: 13+23=36
Moving to Node #0,3,1
Current State: 15:[13, 8], Operations: ['56-33=23', '31-23=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,15 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[23, 18], Operations: ['56-33=23', '31-13=18']
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,15 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[31, 10], Operations: ['56-33=23', '23-13=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,15 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[23, 44], Operations: ['56-33=23', '31+13=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,15 unequal: No Solution
Moving to Node #0,3,4
Current State: 15:[31, 36], Operations: ['56-33=23', '13+23=36']
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,15 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[13, 33, 25], Operations: ['56-31=25']
Exploring Operation: 13+33=46, Resulting Numbers: [25, 46]
Generated Node #0,1,0: 15:[25, 46] Operation: 13+33=46
Exploring Operation: 25-13=12, Resulting Numbers: [33, 12]
Generated Node #0,1,1: 15:[33, 12] Operation: 25-13=12
Exploring Operation: 33-25=8, Resulting Numbers: [13, 8]
Generated Node #0,1,2: 15:[13, 8] Operation: 33-25=8
Exploring Operation: 33-13=20, Resulting Numbers: [25, 20]
Generated Node #0,1,3: 15:[25, 20] Operation: 33-13=20
Exploring Operation: 13+25=38, Resulting Numbers: [33, 38]
Generated Node #0,1,4: 15:[33, 38] Operation: 13+25=38
Moving to Node #0,1,2
Current State: 15:[13, 8], Operations: ['56-31=25', '33-25=8']
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,15 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[25, 20], Operations: ['56-31=25', '33-13=20']
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,15 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[33, 12], Operations: ['56-31=25', '25-13=12']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,15 unequal: No Solution
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[25, 46], Operations: ['56-31=25', '13+33=46']
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,15 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Moving to Node #0,1,4
Current State: 15:[33, 38], Operations: ['56-31=25', '13+25=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,15 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 #0,4
Current State: 15:[56, 13, 2], Operations: ['33-31=2']
Exploring Operation: 56+2=58, Resulting Numbers: [13, 58]
Generated Node #0,4,0: 15:[13, 58] Operation: 56+2=58
Exploring Operation: 56-2=54, Resulting Numbers: [13, 54]
Generated Node #0,4,1: 15:[13, 54] Operation: 56-2=54
Exploring Operation: 56/2=28, Resulting Numbers: [13, 28]
Generated Node #0,4,2: 15:[13, 28] Operation: 56/2=28
Exploring Operation: 13+2=15, Resulting Numbers: [56, 15]
Generated Node #0,4,3: 15:[56, 15] Operation: 13+2=15
Exploring Operation: 56-13=43, Resulting Numbers: [2, 43]
Generated Node #0,4,4: 15:[2, 43] Operation: 56-13=43
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 15:[13, 28], Operations: ['33-31=2', '56/2=28']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[56, 31, 13, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [56, 13, 2]
Generated Node #0,4: 15:[56, 13, 2] Operation: 33-31=2
Moving to Node #0,4
Current State: 15:[56, 13, 2], Operations: ['33-31=2']
Exploring Operation: 56/2=28, Resulting Numbers: [13, 28]
Generated Node #0,4,2: 15:[13, 28] Operation: 56/2=28
Moving to Node #0,4,2
Current State: 15:[13, 28], Operations: ['33-31=2', '56/2=28']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.952257 | hs_5 | sum_heuristic |
[
45,
35,
5,
25
] | 30 | [
"45-35=10",
"25-5=20",
"10+20=30"
] | Current State: 30:[45, 35, 5, 25], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [5, 25, 10]
Generated Node #2: [5, 25, 10] from Operation: 45-35=10
Current State: 30:[5, 25, 10], Operations: ['45-35=10']
Exploring Operation: 25-5=20, Resulting Numbers: [10, 20]
Generated Node #3: [10, 20] from Operation: 25-5=20
Current State: 30:[10, 20], Operations: ['45-35=10', '25-5=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[45, 35, 5, 25], Operations: []
Exploring Operation: 45-25=20, Resulting Numbers: [35, 5, 20]
Generated Node #0,0: 30:[35, 5, 20] Operation: 45-25=20
Exploring Operation: 45-35=10, Resulting Numbers: [5, 25, 10]
Generated Node #0,1: 30:[5, 25, 10] Operation: 45-35=10
Moving to Node #0,1
Current State: 30:[5, 25, 10], Operations: ['45-35=10']
Exploring Operation: 25/5=5, Resulting Numbers: [10, 5]
Generated Node #0,1,0: 30:[10, 5] Operation: 25/5=5
Exploring Operation: 5+25=30, Resulting Numbers: [10, 30]
Generated Node #0,1,1: 30:[10, 30] Operation: 5+25=30
Moving to Node #0,0
Current State: 30:[35, 5, 20], Operations: ['45-25=20']
Exploring Operation: 35-20=15, Resulting Numbers: [5, 15]
Generated Node #0,0,0: 30:[5, 15] Operation: 35-20=15
Exploring Operation: 35-5=30, Resulting Numbers: [20, 30]
Generated Node #0,0,1: 30:[20, 30] Operation: 35-5=30
Moving to Node #0,1,0
Current State: 30:[10, 5], Operations: ['45-35=10', '25/5=5']
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[5, 15], Operations: ['45-25=20', '35-20=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[10, 30], Operations: ['45-35=10', '5+25=30']
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[20, 30], Operations: ['45-25=20', '35-5=30']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,30 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
47,
83,
33
] | 49 | [
"47-46=1",
"83-33=50",
"50-1=49"
] | Current State: 49:[46, 47, 83, 33], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [83, 33, 1]
Generated Node #2: [83, 33, 1] from Operation: 47-46=1
Current State: 49:[83, 33, 1], Operations: ['47-46=1']
Exploring Operation: 83-33=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 83-33=50
Current State: 49:[1, 50], Operations: ['47-46=1', '83-33=50']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[46, 47, 83, 33], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [46, 47, 50]
Generated Node #0,0: 49:[46, 47, 50] Operation: 83-33=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[46, 47, 50], Operations: ['83-33=50']
Exploring Operation: 50-46=4, Resulting Numbers: [47, 4]
Generated Node #0,0,0: 49:[47, 4] Operation: 50-46=4
Moving to Node #0,0,0
Current State: 49:[47, 4], Operations: ['83-33=50', '50-46=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
44,
69,
58,
63
] | 96 | [
"69-44=25",
"58+63=121",
"121-25=96"
] | Current State: 96:[44, 69, 58, 63], Operations: []
Exploring Operation: 69-44=25, Resulting Numbers: [58, 63, 25]
Generated Node #2: [58, 63, 25] from Operation: 69-44=25
Current State: 96:[58, 63, 25], Operations: ['69-44=25']
Exploring Operation: 58+63=121, Resulting Numbers: [25, 121]
Generated Node #3: [25, 121] from Operation: 58+63=121
Current State: 96:[25, 121], Operations: ['69-44=25', '58+63=121']
Exploring Operation: 121-25=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[44, 69, 58, 63], Operations: []
Exploring Operation: 63-44=19, Resulting Numbers: [69, 58, 19]
Generated Node #0,0: 96:[69, 58, 19] Operation: 63-44=19
Exploring Operation: 69-63=6, Resulting Numbers: [44, 58, 6]
Generated Node #0,1: 96:[44, 58, 6] Operation: 69-63=6
Exploring Operation: 69-44=25, Resulting Numbers: [58, 63, 25]
Generated Node #0,2: 96:[58, 63, 25] Operation: 69-44=25
Exploring Operation: 63-58=5, Resulting Numbers: [44, 69, 5]
Generated Node #0,3: 96:[44, 69, 5] Operation: 63-58=5
Exploring Operation: 69-58=11, Resulting Numbers: [44, 63, 11]
Generated Node #0,4: 96:[44, 63, 11] Operation: 69-58=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[44, 58, 6], Operations: ['69-63=6']
Exploring Operation: 58-44=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 96:[6, 14] Operation: 58-44=14
Exploring Operation: 44-6=38, Resulting Numbers: [58, 38]
Generated Node #0,1,1: 96:[58, 38] Operation: 44-6=38
Exploring Operation: 58-6=52, Resulting Numbers: [44, 52]
Generated Node #0,1,2: 96:[44, 52] Operation: 58-6=52
Exploring Operation: 44+6=50, Resulting Numbers: [58, 50]
Generated Node #0,1,3: 96:[58, 50] Operation: 44+6=50
Exploring Operation: 44+58=102, Resulting Numbers: [6, 102]
Generated Node #0,1,4: 96:[6, 102] Operation: 44+58=102
Moving to Node #0,1,0
Current State: 96:[6, 14], Operations: ['69-63=6', '58-44=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,96 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,96 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Moving to Node #0,1,4
Current State: 96:[6, 102], Operations: ['69-63=6', '44+58=102']
Exploring Operation: 6*102=612, Resulting Numbers: [612]
612,96 unequal: No Solution
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,96 unequal: No Solution
Exploring Operation: 102-6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[44, 69, 58, 63], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [44, 58, 6]
Generated Node #0,1: 96:[44, 58, 6] Operation: 69-63=6
Moving to Node #0,1
Current State: 96:[44, 58, 6], Operations: ['69-63=6']
Exploring Operation: 44+58=102, Resulting Numbers: [6, 102]
Generated Node #0,1,4: 96:[6, 102] Operation: 44+58=102
Moving to Node #0,1,4
Current State: 96:[6, 102], Operations: ['69-63=6', '44+58=102']
Exploring Operation: 102-6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
6,
24,
42,
12
] | 29 | [
"42/6=7",
"24+12=36",
"36-7=29"
] | Current State: 29:[6, 24, 42, 12], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [24, 12, 7]
Generated Node #2: [24, 12, 7] from Operation: 42/6=7
Current State: 29:[24, 12, 7], Operations: ['42/6=7']
Exploring Operation: 24+12=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 24+12=36
Current State: 29:[7, 36], Operations: ['42/6=7', '24+12=36']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[6, 24, 42, 12], Operations: []
Exploring Operation: 24-6=18, Resulting Numbers: [42, 12, 18]
Generated Node #0,0: 29:[42, 12, 18] Operation: 24-6=18
Exploring Operation: 6+24=30, Resulting Numbers: [42, 12, 30]
Generated Node #0,1: 29:[42, 12, 30] Operation: 6+24=30
Exploring Operation: 42-12=30, Resulting Numbers: [6, 24, 30]
Generated Node #0,2: 29:[6, 24, 30] Operation: 42-12=30
Exploring Operation: 42-6=36, Resulting Numbers: [24, 12, 36]
Generated Node #0,3: 29:[24, 12, 36] Operation: 42-6=36
Exploring Operation: 6+12=18, Resulting Numbers: [24, 42, 18]
Generated Node #0,4: 29:[24, 42, 18] Operation: 6+12=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[6, 24, 30], Operations: ['42-12=30']
Exploring Operation: 24/6=4, Resulting Numbers: [30, 4]
Generated Node #0,2,0: 29:[30, 4] Operation: 24/6=4
Exploring Operation: 6+24=30, Resulting Numbers: [30, 30]
Generated Node #0,2,1: 29:[30, 30] Operation: 6+24=30
Exploring Operation: 24-6=18, Resulting Numbers: [30, 18]
Generated Node #0,2,2: 29:[30, 18] Operation: 24-6=18
Exploring Operation: 6+30=36, Resulting Numbers: [24, 36]
Generated Node #0,2,3: 29:[24, 36] Operation: 6+30=36
Exploring Operation: 30-6=24, Resulting Numbers: [24, 24]
Generated Node #0,2,4: 29:[24, 24] Operation: 30-6=24
Moving to Node #0,2,1
Current State: 29:[30, 30], Operations: ['42-12=30', '6+24=30']
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,29 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Moving to Node #0,2,4
Current State: 29:[24, 24], Operations: ['42-12=30', '30-6=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[30, 18], Operations: ['42-12=30', '24-6=18']
Exploring Operation: 30*18=540, Resulting Numbers: [540]
540,29 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 30+18=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[24, 36], Operations: ['42-12=30', '6+30=36']
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 24*36=864, Resulting Numbers: [864]
864,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[30, 4], Operations: ['42-12=30', '24/6=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,29 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
Current State: 29:[24, 12, 36], Operations: ['42-6=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24, 24]
Generated Node #0,3,0: 29:[24, 24] Operation: 36-12=24
Exploring Operation: 24-12=12, Resulting Numbers: [36, 12]
Generated Node #0,3,1: 29:[36, 12] Operation: 24-12=12
Exploring Operation: 36/12=3, Resulting Numbers: [24, 3]
Generated Node #0,3,2: 29:[24, 3] Operation: 36/12=3
Exploring Operation: 24+12=36, Resulting Numbers: [36, 36]
Generated Node #0,3,3: 29:[36, 36] Operation: 24+12=36
Exploring Operation: 12+36=48, Resulting Numbers: [24, 48]
Generated Node #0,3,4: 29:[24, 48] Operation: 12+36=48
Moving to Node #0,3,0
Current State: 29:[24, 24], Operations: ['42-6=36', '36-12=24']
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,29 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[36, 36], Operations: ['42-6=36', '24+12=36']
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,29 unequal: No Solution
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[36, 12], Operations: ['42-6=36', '24-12=12']
Exploring Operation: 36+12=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 36*12=432, Resulting Numbers: [432]
432,29 unequal: No Solution
Moving to Node #0,3,4
Current State: 29:[24, 48], Operations: ['42-6=36', '12+36=48']
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 24*48=1152, Resulting Numbers: [1152]
1152,29 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[24, 3], Operations: ['42-6=36', '36/12=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,29 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 29:[24, 42, 18], Operations: ['6+12=18']
Exploring Operation: 24-18=6, Resulting Numbers: [42, 6]
Generated Node #0,4,0: 29:[42, 6] Operation: 24-18=6
Exploring Operation: 42-18=24, Resulting Numbers: [24, 24]
Generated Node #0,4,1: 29:[24, 24] Operation: 42-18=24
Exploring Operation: 42-24=18, Resulting Numbers: [18, 18]
Generated Node #0,4,2: 29:[18, 18] Operation: 42-24=18
Exploring Operation: 24+18=42, Resulting Numbers: [42, 42]
Generated Node #0,4,3: 29:[42, 42] Operation: 24+18=42
Exploring Operation: 42+18=60, Resulting Numbers: [24, 60]
Generated Node #0,4,4: 29:[24, 60] Operation: 42+18=60
Moving to Node #0,4,1
Current State: 29:[24, 24], Operations: ['6+12=18', '42-18=24']
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,29 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Moving to Node #0,4,2
Current State: 29:[18, 18], Operations: ['6+12=18', '42-24=18']
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,29 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Moving to Node #0,4,3
Current State: 29:[42, 42], Operations: ['6+12=18', '24+18=42']
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,29 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Moving to Node #0,4,0
Current State: 29:[42, 6], Operations: ['6+12=18', '24-18=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,29 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,29 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Moving to Node #0,4,4
Current State: 29:[24, 60], Operations: ['6+12=18', '42+18=60']
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,29 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[42, 12, 30], Operations: ['6+24=30']
Exploring Operation: 12+30=42, Resulting Numbers: [42, 42]
Generated Node #0,1,0: 29:[42, 42] Operation: 12+30=42
Exploring Operation: 30-12=18, Resulting Numbers: [42, 18]
Generated Node #0,1,1: 29:[42, 18] Operation: 30-12=18
Exploring Operation: 42-30=12, Resulting Numbers: [12, 12]
Generated Node #0,1,2: 29:[12, 12] Operation: 42-30=12
Exploring Operation: 42+12=54, Resulting Numbers: [30, 54]
Generated Node #0,1,3: 29:[30, 54] Operation: 42+12=54
Exploring Operation: 42-12=30, Resulting Numbers: [30, 30]
Generated Node #0,1,4: 29:[30, 30] Operation: 42-12=30
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 29:[30, 30], Operations: ['6+24=30', '42-12=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,29 unequal: No Solution
No 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: 29:[42, 18], Operations: ['6+24=30', '30-12=18']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 42*18=756, Resulting Numbers: [756]
756,29 unequal: No Solution
No 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: 29:[42, 42], Operations: ['6+24=30', '12+30=42']
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,29 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,29 unequal: No Solution
No 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: 29:[30, 54], Operations: ['6+24=30', '42+12=54']
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 30*54=1620, Resulting Numbers: [1620]
1620,29 unequal: No Solution
Exploring Operation: 30+54=84, Resulting Numbers: [84]
84,29 unequal: No Solution
No 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: 29:[12, 12], Operations: ['6+24=30', '42-30=12']
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,29 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,29 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: 29:[42, 12, 18], Operations: ['24-6=18']
Exploring Operation: 42-18=24, Resulting Numbers: [12, 24]
Generated Node #0,0,0: 29:[12, 24] Operation: 42-18=24
Exploring Operation: 18-12=6, Resulting Numbers: [42, 6]
Generated Node #0,0,1: 29:[42, 6] Operation: 18-12=6
Exploring Operation: 12+18=30, Resulting Numbers: [42, 30]
Generated Node #0,0,2: 29:[42, 30] Operation: 12+18=30
Exploring Operation: 42+12=54, Resulting Numbers: [18, 54]
Generated Node #0,0,3: 29:[18, 54] Operation: 42+12=54
Exploring Operation: 42-12=30, Resulting Numbers: [18, 30]
Generated Node #0,0,4: 29:[18, 30] Operation: 42-12=30
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 29:[18, 30], Operations: ['24-6=18', '42-12=30']
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,29 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,29 unequal: No Solution
No 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: 29:[42, 30], Operations: ['24-6=18', '12+18=30']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 42*30=1260, Resulting Numbers: [1260]
1260,29 unequal: No Solution
No 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: 29:[12, 24], Operations: ['24-6=18', '42-18=24']
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 12*24=288, Resulting Numbers: [288]
288,29 unequal: No Solution
No 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: 29:[42, 6], Operations: ['24-6=18', '18-12=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,29 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,29 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No 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: 29:[18, 54], Operations: ['24-6=18', '42+12=54']
Exploring Operation: 18*54=972, Resulting Numbers: [972]
972,29 unequal: No Solution
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,29 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 |
[
93,
41,
15,
6
] | 87 | [
"41*15=615",
"615-93=522",
"522/6=87"
] | Current State: 87:[93, 41, 15, 6], Operations: []
Exploring Operation: 41*15=615, Resulting Numbers: [93, 6, 615]
Generated Node #2: [93, 6, 615] from Operation: 41*15=615
Current State: 87:[93, 6, 615], Operations: ['41*15=615']
Exploring Operation: 615-93=522, Resulting Numbers: [6, 522]
Generated Node #3: [6, 522] from Operation: 615-93=522
Current State: 87:[6, 522], Operations: ['41*15=615', '615-93=522']
Exploring Operation: 522/6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[93, 41, 15, 6], Operations: []
Exploring Operation: 41-15=26, Resulting Numbers: [93, 6, 26]
Generated Node #0,0: 87:[93, 6, 26] Operation: 41-15=26
Exploring Operation: 15*6=90, Resulting Numbers: [93, 41, 90]
Generated Node #0,1: 87:[93, 41, 90] Operation: 15*6=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[93, 6, 26], Operations: ['41-15=26']
Exploring Operation: 93-6=87, Resulting Numbers: [26, 87]
Generated Node #0,0,0: 87:[26, 87] Operation: 93-6=87
Exploring Operation: 6+26=32, Resulting Numbers: [93, 32]
Generated Node #0,0,1: 87:[93, 32] Operation: 6+26=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[26, 87], Operations: ['41-15=26', '93-6=87']
Exploring Operation: 26+87=113, Resulting Numbers: [113]
113,87 unequal: No Solution
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[93, 32], Operations: ['41-15=26', '6+26=32']
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,87 unequal: No Solution
Exploring Operation: 93+32=125, Resulting Numbers: [125]
125,87 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:[93, 41, 90], Operations: ['15*6=90']
Exploring Operation: 93-90=3, Resulting Numbers: [41, 3]
Generated Node #0,1,0: 87:[41, 3] Operation: 93-90=3
Exploring Operation: 93-41=52, Resulting Numbers: [90, 52]
Generated Node #0,1,1: 87:[90, 52] Operation: 93-41=52
Moving to Node #0,1,0
Current State: 87:[41, 3], Operations: ['15*6=90', '93-90=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[90, 52], Operations: ['15*6=90', '93-41=52']
Exploring Operation: 90+52=142, Resulting Numbers: [142]
142,87 unequal: No Solution
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
10,
96,
33
] | 72 | [
"34+10=44",
"96*33=3168",
"3168/44=72"
] | Current State: 72:[34, 10, 96, 33], Operations: []
Exploring Operation: 34+10=44, Resulting Numbers: [96, 33, 44]
Generated Node #2: [96, 33, 44] from Operation: 34+10=44
Current State: 72:[96, 33, 44], Operations: ['34+10=44']
Exploring Operation: 96*33=3168, Resulting Numbers: [44, 3168]
Generated Node #3: [44, 3168] from Operation: 96*33=3168
Current State: 72:[44, 3168], Operations: ['34+10=44', '96*33=3168']
Exploring Operation: 3168/44=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[34, 10, 96, 33], Operations: []
Exploring Operation: 96-33=63, Resulting Numbers: [34, 10, 63]
Generated Node #0,0: 72:[34, 10, 63] Operation: 96-33=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[34, 10, 63], Operations: ['96-33=63']
Exploring Operation: 10+63=73, Resulting Numbers: [34, 73]
Generated Node #0,0,0: 72:[34, 73] Operation: 10+63=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[34, 73], Operations: ['96-33=63', '10+63=73']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,72 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 | sum_heuristic |
[
14,
3,
63,
78
] | 51 | [
"14+63=77",
"78/3=26",
"77-26=51"
] | Current State: 51:[14, 3, 63, 78], Operations: []
Exploring Operation: 14+63=77, Resulting Numbers: [3, 78, 77]
Generated Node #2: [3, 78, 77] from Operation: 14+63=77
Current State: 51:[3, 78, 77], Operations: ['14+63=77']
Exploring Operation: 78/3=26, Resulting Numbers: [77, 26]
Generated Node #3: [77, 26] from Operation: 78/3=26
Current State: 51:[77, 26], Operations: ['14+63=77', '78/3=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[14, 3, 63, 78], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [14, 3, 15]
Generated Node #0,0: 51:[14, 3, 15] Operation: 78-63=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[14, 3, 15], Operations: ['78-63=15']
Exploring Operation: 14+3=17, Resulting Numbers: [15, 17]
Generated Node #0,0,0: 51:[15, 17] Operation: 14+3=17
Moving to Node #0,0,0
Current State: 51:[15, 17], Operations: ['78-63=15', '14+3=17']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
4,
52,
35,
54
] | 76 | [
"52/4=13",
"35+54=89",
"89-13=76"
] | Current State: 76:[4, 52, 35, 54], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [35, 54, 13]
Generated Node #2: [35, 54, 13] from Operation: 52/4=13
Current State: 76:[35, 54, 13], Operations: ['52/4=13']
Exploring Operation: 35+54=89, Resulting Numbers: [13, 89]
Generated Node #3: [13, 89] from Operation: 35+54=89
Current State: 76:[13, 89], Operations: ['52/4=13', '35+54=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[4, 52, 35, 54], Operations: []
Exploring Operation: 54-35=19, Resulting Numbers: [4, 52, 19]
Generated Node #0,0: 76:[4, 52, 19] Operation: 54-35=19
Exploring Operation: 54-52=2, Resulting Numbers: [4, 35, 2]
Generated Node #0,1: 76:[4, 35, 2] Operation: 54-52=2
Moving to Node #0,1
Current State: 76:[4, 35, 2], Operations: ['54-52=2']
Exploring Operation: 35+2=37, Resulting Numbers: [4, 37]
Generated Node #0,1,0: 76:[4, 37] Operation: 35+2=37
Exploring Operation: 4+35=39, Resulting Numbers: [2, 39]
Generated Node #0,1,1: 76:[2, 39] Operation: 4+35=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[4, 37], Operations: ['54-52=2', '35+2=37']
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,76 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:[2, 39], Operations: ['54-52=2', '4+35=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,76 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:[4, 52, 19], Operations: ['54-35=19']
Exploring Operation: 52-19=33, Resulting Numbers: [4, 33]
Generated Node #0,0,0: 76:[4, 33] Operation: 52-19=33
Exploring Operation: 52+19=71, Resulting Numbers: [4, 71]
Generated Node #0,0,1: 76:[4, 71] Operation: 52+19=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[4, 33], Operations: ['54-35=19', '52-19=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,76 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 #0,0,1
Current State: 76:[4, 71], Operations: ['54-35=19', '52+19=71']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,76 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 |
[
48,
20,
87,
6
] | 59 | [
"48/6=8",
"87-20=67",
"67-8=59"
] | Current State: 59:[48, 20, 87, 6], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [20, 87, 8]
Generated Node #2: [20, 87, 8] from Operation: 48/6=8
Current State: 59:[20, 87, 8], Operations: ['48/6=8']
Exploring Operation: 87-20=67, Resulting Numbers: [8, 67]
Generated Node #3: [8, 67] from Operation: 87-20=67
Current State: 59:[8, 67], Operations: ['48/6=8', '87-20=67']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[48, 20, 87, 6], Operations: []
Exploring Operation: 87-20=67, Resulting Numbers: [48, 6, 67]
Generated Node #0,0: 59:[48, 6, 67] Operation: 87-20=67
Exploring Operation: 20+6=26, Resulting Numbers: [48, 87, 26]
Generated Node #0,1: 59:[48, 87, 26] Operation: 20+6=26
Exploring Operation: 87-6=81, Resulting Numbers: [48, 20, 81]
Generated Node #0,2: 59:[48, 20, 81] Operation: 87-6=81
Exploring Operation: 48+6=54, Resulting Numbers: [20, 87, 54]
Generated Node #0,3: 59:[20, 87, 54] Operation: 48+6=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[48, 6, 67], Operations: ['87-20=67']
Exploring Operation: 48-6=42, Resulting Numbers: [67, 42]
Generated Node #0,0,0: 59:[67, 42] Operation: 48-6=42
Exploring Operation: 6+67=73, Resulting Numbers: [48, 73]
Generated Node #0,0,1: 59:[48, 73] Operation: 6+67=73
Exploring Operation: 67-6=61, Resulting Numbers: [48, 61]
Generated Node #0,0,2: 59:[48, 61] Operation: 67-6=61
Exploring Operation: 48+6=54, Resulting Numbers: [67, 54]
Generated Node #0,0,3: 59:[67, 54] Operation: 48+6=54
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 59:[48, 61], Operations: ['87-20=67', '67-6=61']
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,59 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,59 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,59 unequal: No Solution
No 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: 59:[67, 54], Operations: ['87-20=67', '48+6=54']
Exploring Operation: 67*54=3618, Resulting Numbers: [3618]
3618,59 unequal: No Solution
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 67+54=121, Resulting Numbers: [121]
121,59 unequal: No Solution
No 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: 59:[67, 42], Operations: ['87-20=67', '48-6=42']
Exploring Operation: 67+42=109, Resulting Numbers: [109]
109,59 unequal: No Solution
Exploring Operation: 67*42=2814, Resulting Numbers: [2814]
2814,59 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,59 unequal: No Solution
No 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: 59:[48, 73], Operations: ['87-20=67', '6+67=73']
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,59 unequal: No Solution
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,59 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,59 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[48, 87, 26], Operations: ['20+6=26']
Exploring Operation: 87-48=39, Resulting Numbers: [26, 39]
Generated Node #0,1,0: 59:[26, 39] Operation: 87-48=39
Exploring Operation: 48-26=22, Resulting Numbers: [87, 22]
Generated Node #0,1,1: 59:[87, 22] Operation: 48-26=22
Exploring Operation: 87-26=61, Resulting Numbers: [48, 61]
Generated Node #0,1,2: 59:[48, 61] Operation: 87-26=61
Exploring Operation: 48+26=74, Resulting Numbers: [87, 74]
Generated Node #0,1,3: 59:[87, 74] Operation: 48+26=74
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 59:[48, 61], Operations: ['20+6=26', '87-26=61']
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,59 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,59 unequal: No Solution
No 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: 59:[87, 74], Operations: ['20+6=26', '48+26=74']
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 87+74=161, Resulting Numbers: [161]
161,59 unequal: No Solution
Exploring Operation: 87*74=6438, Resulting Numbers: [6438]
6438,59 unequal: No Solution
No 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: 59:[26, 39], Operations: ['20+6=26', '87-48=39']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 26*39=1014, Resulting Numbers: [1014]
1014,59 unequal: No Solution
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,59 unequal: No Solution
No 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: 59:[87, 22], Operations: ['20+6=26', '48-26=22']
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,59 unequal: No Solution
Exploring Operation: 87+22=109, Resulting Numbers: [109]
109,59 unequal: No Solution
Exploring Operation: 87*22=1914, Resulting Numbers: [1914]
1914,59 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[48, 20, 81], Operations: ['87-6=81']
Exploring Operation: 81-20=61, Resulting Numbers: [48, 61]
Generated Node #0,2,0: 59:[48, 61] Operation: 81-20=61
Exploring Operation: 48+20=68, Resulting Numbers: [81, 68]
Generated Node #0,2,1: 59:[81, 68] Operation: 48+20=68
Exploring Operation: 48-20=28, Resulting Numbers: [81, 28]
Generated Node #0,2,2: 59:[81, 28] Operation: 48-20=28
Exploring Operation: 20+81=101, Resulting Numbers: [48, 101]
Generated Node #0,2,3: 59:[48, 101] Operation: 20+81=101
Moving to Node #0,2,0
Current State: 59:[48, 61], Operations: ['87-6=81', '81-20=61']
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,59 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[81, 68], Operations: ['87-6=81', '48+20=68']
Exploring Operation: 81+68=149, Resulting Numbers: [149]
149,59 unequal: No Solution
Exploring Operation: 81*68=5508, Resulting Numbers: [5508]
5508,59 unequal: No Solution
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[48, 101], Operations: ['87-6=81', '20+81=101']
Exploring Operation: 48+101=149, Resulting Numbers: [149]
149,59 unequal: No Solution
Exploring Operation: 101-48=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Exploring Operation: 48*101=4848, Resulting Numbers: [4848]
4848,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[81, 28], Operations: ['87-6=81', '48-20=28']
Exploring Operation: 81*28=2268, Resulting Numbers: [2268]
2268,59 unequal: No Solution
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Exploring Operation: 81+28=109, Resulting Numbers: [109]
109,59 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 #0,3
Current State: 59:[20, 87, 54], Operations: ['48+6=54']
Exploring Operation: 20+54=74, Resulting Numbers: [87, 74]
Generated Node #0,3,0: 59:[87, 74] Operation: 20+54=74
Exploring Operation: 87-20=67, Resulting Numbers: [54, 67]
Generated Node #0,3,1: 59:[54, 67] Operation: 87-20=67
Exploring Operation: 54-20=34, Resulting Numbers: [87, 34]
Generated Node #0,3,2: 59:[87, 34] Operation: 54-20=34
Exploring Operation: 20+87=107, Resulting Numbers: [54, 107]
Generated Node #0,3,3: 59:[54, 107] Operation: 20+87=107
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 59:[54, 67], Operations: ['48+6=54', '87-20=67']
Exploring Operation: 54+67=121, Resulting Numbers: [121]
121,59 unequal: No Solution
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 54*67=3618, Resulting Numbers: [3618]
3618,59 unequal: No Solution
No 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: 59:[87, 74], Operations: ['48+6=54', '20+54=74']
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 87+74=161, Resulting Numbers: [161]
161,59 unequal: No Solution
Exploring Operation: 87*74=6438, Resulting Numbers: [6438]
6438,59 unequal: No Solution
No 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: 59:[87, 34], Operations: ['48+6=54', '54-20=34']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Exploring Operation: 87*34=2958, Resulting Numbers: [2958]
2958,59 unequal: No Solution
Exploring Operation: 87+34=121, Resulting Numbers: [121]
121,59 unequal: No Solution
No 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: 59:[54, 107], Operations: ['48+6=54', '20+87=107']
Exploring Operation: 54+107=161, Resulting Numbers: [161]
161,59 unequal: No Solution
Exploring Operation: 54*107=5778, Resulting Numbers: [5778]
5778,59 unequal: No Solution
Exploring Operation: 107-54=53, Resulting Numbers: [53]
53,59 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_4 | sum_heuristic |
[
2,
49,
84,
99
] | 36 | [
"2+49=51",
"99-84=15",
"51-15=36"
] | Current State: 36:[2, 49, 84, 99], Operations: []
Exploring Operation: 2+49=51, Resulting Numbers: [84, 99, 51]
Generated Node #2: [84, 99, 51] from Operation: 2+49=51
Current State: 36:[84, 99, 51], Operations: ['2+49=51']
Exploring Operation: 99-84=15, Resulting Numbers: [51, 15]
Generated Node #3: [51, 15] from Operation: 99-84=15
Current State: 36:[51, 15], Operations: ['2+49=51', '99-84=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[2, 49, 84, 99], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [2, 49, 15]
Generated Node #0,0: 36:[2, 49, 15] Operation: 99-84=15
Exploring Operation: 84-49=35, Resulting Numbers: [2, 99, 35]
Generated Node #0,1: 36:[2, 99, 35] Operation: 84-49=35
Exploring Operation: 99-49=50, Resulting Numbers: [2, 84, 50]
Generated Node #0,2: 36:[2, 84, 50] Operation: 99-49=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[2, 49, 15], Operations: ['99-84=15']
Exploring Operation: 2+15=17, Resulting Numbers: [49, 17]
Generated Node #0,0,0: 36:[49, 17] Operation: 2+15=17
Exploring Operation: 49-2=47, Resulting Numbers: [15, 47]
Generated Node #0,0,1: 36:[15, 47] Operation: 49-2=47
Exploring Operation: 49-15=34, Resulting Numbers: [2, 34]
Generated Node #0,0,2: 36:[2, 34] Operation: 49-15=34
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 36:[2, 34], Operations: ['99-84=15', '49-15=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,36 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[2, 49, 84, 99], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [2, 49, 15]
Generated Node #0,0: 36:[2, 49, 15] Operation: 99-84=15
Moving to Node #0,0
Current State: 36:[2, 49, 15], Operations: ['99-84=15']
Exploring Operation: 49-15=34, Resulting Numbers: [2, 34]
Generated Node #0,0,2: 36:[2, 34] Operation: 49-15=34
Moving to Node #0,0,2
Current State: 36:[2, 34], Operations: ['99-84=15', '49-15=34']
Exploring Operation: 2+34=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 | mult_heuristic |
[
63,
65,
95,
32
] | 91 | [
"63+65=128",
"128/32=4",
"95-4=91"
] | Current State: 91:[63, 65, 95, 32], Operations: []
Exploring Operation: 63+65=128, Resulting Numbers: [95, 32, 128]
Generated Node #2: [95, 32, 128] from Operation: 63+65=128
Current State: 91:[95, 32, 128], Operations: ['63+65=128']
Exploring Operation: 128/32=4, Resulting Numbers: [95, 4]
Generated Node #3: [95, 4] from Operation: 128/32=4
Current State: 91:[95, 4], Operations: ['63+65=128', '128/32=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[63, 65, 95, 32], Operations: []
Exploring Operation: 63+32=95, Resulting Numbers: [65, 95, 95]
Generated Node #0,0: 91:[65, 95, 95] Operation: 63+32=95
Exploring Operation: 65+32=97, Resulting Numbers: [63, 95, 97]
Generated Node #0,1: 91:[63, 95, 97] Operation: 65+32=97
Exploring Operation: 63-32=31, Resulting Numbers: [65, 95, 31]
Generated Node #0,2: 91:[65, 95, 31] Operation: 63-32=31
Exploring Operation: 65-63=2, Resulting Numbers: [95, 32, 2]
Generated Node #0,3: 91:[95, 32, 2] Operation: 65-63=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 91:[95, 32, 2], Operations: ['65-63=2']
Exploring Operation: 32-2=30, Resulting Numbers: [95, 30]
Generated Node #0,3,0: 91:[95, 30] Operation: 32-2=30
Exploring Operation: 32/2=16, Resulting Numbers: [95, 16]
Generated Node #0,3,1: 91:[95, 16] Operation: 32/2=16
Exploring Operation: 95-2=93, Resulting Numbers: [32, 93]
Generated Node #0,3,2: 91:[32, 93] Operation: 95-2=93
Exploring Operation: 95+2=97, Resulting Numbers: [32, 97]
Generated Node #0,3,3: 91:[32, 97] Operation: 95+2=97
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 91:[95, 16], Operations: ['65-63=2', '32/2=16']
Exploring Operation: 95*16=1520, Resulting Numbers: [1520]
1520,91 unequal: No Solution
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,91 unequal: No Solution
Exploring Operation: 95+16=111, Resulting Numbers: [111]
111,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 91:[95, 30], Operations: ['65-63=2', '32-2=30']
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 95+30=125, Resulting Numbers: [125]
125,91 unequal: No Solution
Exploring Operation: 95*30=2850, Resulting Numbers: [2850]
2850,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 91:[32, 93], Operations: ['65-63=2', '95-2=93']
Exploring Operation: 32+93=125, Resulting Numbers: [125]
125,91 unequal: No Solution
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 32*93=2976, Resulting Numbers: [2976]
2976,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 91:[32, 97], Operations: ['65-63=2', '95+2=97']
Exploring Operation: 32*97=3104, Resulting Numbers: [3104]
3104,91 unequal: No Solution
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 32+97=129, Resulting Numbers: [129]
129,91 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: 91:[65, 95, 95], Operations: ['63+32=95']
Exploring Operation: 95-95=0, Resulting Numbers: [65, 0]
Generated Node #0,0,0: 91:[65, 0] Operation: 95-95=0
Exploring Operation: 95-65=30, Resulting Numbers: [95, 30]
Generated Node #0,0,1: 91:[95, 30] Operation: 95-65=30
Exploring Operation: 95-65=30, Resulting Numbers: [95, 30]
Generated Node #0,0,2: 91:[95, 30] Operation: 95-65=30
Exploring Operation: 95/95=1, Resulting Numbers: [65, 1]
Generated Node #0,0,3: 91:[65, 1] Operation: 95/95=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[95, 30], Operations: ['63+32=95', '95-65=30']
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 95+30=125, Resulting Numbers: [125]
125,91 unequal: No Solution
Exploring Operation: 95*30=2850, Resulting Numbers: [2850]
2850,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 91:[95, 30], Operations: ['63+32=95', '95-65=30']
Exploring Operation: 95*30=2850, Resulting Numbers: [2850]
2850,91 unequal: No Solution
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 95+30=125, Resulting Numbers: [125]
125,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 91:[65, 1], Operations: ['63+32=95', '95/95=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,91 unequal: No Solution
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[65, 0], Operations: ['63+32=95', '95-95=0']
Exploring Operation: 65-0=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 65*0=0, Resulting Numbers: [0]
0,91 unequal: No Solution
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,91 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: 91:[63, 95, 97], Operations: ['65+32=97']
Exploring Operation: 97-95=2, Resulting Numbers: [63, 2]
Generated Node #0,1,0: 91:[63, 2] Operation: 97-95=2
Exploring Operation: 97-63=34, Resulting Numbers: [95, 34]
Generated Node #0,1,1: 91:[95, 34] Operation: 97-63=34
Exploring Operation: 95-63=32, Resulting Numbers: [97, 32]
Generated Node #0,1,2: 91:[97, 32] Operation: 95-63=32
Exploring Operation: 63+95=158, Resulting Numbers: [97, 158]
Generated Node #0,1,3: 91:[97, 158] Operation: 63+95=158
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 91:[95, 34], Operations: ['65+32=97', '97-63=34']
Exploring Operation: 95+34=129, Resulting Numbers: [129]
129,91 unequal: No Solution
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 95*34=3230, Resulting Numbers: [3230]
3230,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 91:[97, 32], Operations: ['65+32=97', '95-63=32']
Exploring Operation: 97*32=3104, Resulting Numbers: [3104]
3104,91 unequal: No Solution
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 97+32=129, Resulting Numbers: [129]
129,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[63, 2], Operations: ['65+32=97', '97-95=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,91 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 91:[97, 158], Operations: ['65+32=97', '63+95=158']
Exploring Operation: 97*158=15326, Resulting Numbers: [15326]
15326,91 unequal: No Solution
Exploring Operation: 158-97=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 97+158=255, Resulting Numbers: [255]
255,91 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: 91:[65, 95, 31], Operations: ['63-32=31']
Exploring Operation: 95-31=64, Resulting Numbers: [65, 64]
Generated Node #0,2,0: 91:[65, 64] Operation: 95-31=64
Exploring Operation: 95-65=30, Resulting Numbers: [31, 30]
Generated Node #0,2,1: 91:[31, 30] Operation: 95-65=30
Exploring Operation: 65-31=34, Resulting Numbers: [95, 34]
Generated Node #0,2,2: 91:[95, 34] Operation: 65-31=34
Exploring Operation: 65+31=96, Resulting Numbers: [95, 96]
Generated Node #0,2,3: 91:[95, 96] Operation: 65+31=96
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 91:[95, 96], Operations: ['63-32=31', '65+31=96']
Exploring Operation: 96-95=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 95*96=9120, Resulting Numbers: [9120]
9120,91 unequal: No Solution
Exploring Operation: 95+96=191, Resulting Numbers: [191]
191,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 91:[95, 34], Operations: ['63-32=31', '65-31=34']
Exploring Operation: 95*34=3230, Resulting Numbers: [3230]
3230,91 unequal: No Solution
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 95+34=129, Resulting Numbers: [129]
129,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 91:[31, 30], Operations: ['63-32=31', '95-65=30']
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,91 unequal: No Solution
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 91:[65, 64], Operations: ['63-32=31', '95-31=64']
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 65+64=129, Resulting Numbers: [129]
129,91 unequal: No Solution
Exploring Operation: 65*64=4160, Resulting Numbers: [4160]
4160,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
60,
51,
63,
2
] | 34 | [
"63-60=3",
"51*2=102",
"102/3=34"
] | Current State: 34:[60, 51, 63, 2], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [51, 2, 3]
Generated Node #2: [51, 2, 3] from Operation: 63-60=3
Current State: 34:[51, 2, 3], Operations: ['63-60=3']
Exploring Operation: 51*2=102, Resulting Numbers: [3, 102]
Generated Node #3: [3, 102] from Operation: 51*2=102
Current State: 34:[3, 102], Operations: ['63-60=3', '51*2=102']
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[60, 51, 63, 2], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [63, 2, 9]
Generated Node #0,0: 34:[63, 2, 9] Operation: 60-51=9
Exploring Operation: 63-60=3, Resulting Numbers: [51, 2, 3]
Generated Node #0,1: 34:[51, 2, 3] Operation: 63-60=3
Exploring Operation: 63-51=12, Resulting Numbers: [60, 2, 12]
Generated Node #0,2: 34:[60, 2, 12] Operation: 63-51=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[51, 2, 3], Operations: ['63-60=3']
Exploring Operation: 51-3=48, Resulting Numbers: [2, 48]
Generated Node #0,1,0: 34:[2, 48] Operation: 51-3=48
Exploring Operation: 51-2=49, Resulting Numbers: [3, 49]
Generated Node #0,1,1: 34:[3, 49] Operation: 51-2=49
Exploring Operation: 51/3=17, Resulting Numbers: [2, 17]
Generated Node #0,1,2: 34:[2, 17] Operation: 51/3=17
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[2, 17], Operations: ['63-60=3', '51/3=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[60, 51, 63, 2], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [51, 2, 3]
Generated Node #0,1: 34:[51, 2, 3] Operation: 63-60=3
Moving to Node #0,1
Current State: 34:[51, 2, 3], Operations: ['63-60=3']
Exploring Operation: 51/3=17, Resulting Numbers: [2, 17]
Generated Node #0,1,2: 34:[2, 17] Operation: 51/3=17
Moving to Node #0,1,2
Current State: 34:[2, 17], Operations: ['63-60=3', '51/3=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
6,
6,
98,
72
] | 100 | [
"6*6=36",
"72/36=2",
"98+2=100"
] | Current State: 100:[6, 6, 98, 72], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [98, 72, 36]
Generated Node #2: [98, 72, 36] from Operation: 6*6=36
Current State: 100:[98, 72, 36], Operations: ['6*6=36']
Exploring Operation: 72/36=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 72/36=2
Current State: 100:[98, 2], Operations: ['6*6=36', '72/36=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[6, 6, 98, 72], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [6, 98, 12]
Generated Node #0,0: 100:[6, 98, 12] Operation: 72/6=12
Exploring Operation: 98-72=26, Resulting Numbers: [6, 6, 26]
Generated Node #0,1: 100:[6, 6, 26] Operation: 98-72=26
Exploring Operation: 72/6=12, Resulting Numbers: [6, 98, 12]
Generated Node #0,2: 100:[6, 98, 12] Operation: 72/6=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[6, 6, 26], Operations: ['98-72=26']
Exploring Operation: 6/6=1, Resulting Numbers: [26, 1]
Generated Node #0,1,0: 100:[26, 1] Operation: 6/6=1
Exploring Operation: 26-6=20, Resulting Numbers: [6, 20]
Generated Node #0,1,1: 100:[6, 20] Operation: 26-6=20
Exploring Operation: 26-6=20, Resulting Numbers: [6, 20]
Generated Node #0,1,2: 100:[6, 20] Operation: 26-6=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[6, 20], Operations: ['98-72=26', '26-6=20']
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,100 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,100 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:[6, 20], Operations: ['98-72=26', '26-6=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,100 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,100 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 #0,1,0
Current State: 100:[26, 1], Operations: ['98-72=26', '6/6=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,100 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 #0,0
Current State: 100:[6, 98, 12], Operations: ['72/6=12']
Exploring Operation: 12-6=6, Resulting Numbers: [98, 6]
Generated Node #0,0,0: 100:[98, 6] Operation: 12-6=6
Exploring Operation: 6+12=18, Resulting Numbers: [98, 18]
Generated Node #0,0,1: 100:[98, 18] Operation: 6+12=18
Exploring Operation: 12/6=2, Resulting Numbers: [98, 2]
Generated Node #0,0,2: 100:[98, 2] Operation: 12/6=2
Moving to Node #0,0,2
Current State: 100:[98, 2], Operations: ['72/6=12', '12/6=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[6, 6, 98, 72], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [6, 98, 12]
Generated Node #0,0: 100:[6, 98, 12] Operation: 72/6=12
Moving to Node #0,0
Current State: 100:[6, 98, 12], Operations: ['72/6=12']
Exploring Operation: 12/6=2, Resulting Numbers: [98, 2]
Generated Node #0,0,2: 100:[98, 2] Operation: 12/6=2
Moving to Node #0,0,2
Current State: 100:[98, 2], Operations: ['72/6=12', '12/6=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
62,
19,
60,
54
] | 52 | [
"60-54=6",
"19*6=114",
"114-62=52"
] | Current State: 52:[62, 19, 60, 54], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [62, 19, 6]
Generated Node #2: [62, 19, 6] from Operation: 60-54=6
Current State: 52:[62, 19, 6], Operations: ['60-54=6']
Exploring Operation: 19*6=114, Resulting Numbers: [62, 114]
Generated Node #3: [62, 114] from Operation: 19*6=114
Current State: 52:[62, 114], Operations: ['60-54=6', '19*6=114']
Exploring Operation: 114-62=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[62, 19, 60, 54], Operations: []
Exploring Operation: 62-54=8, Resulting Numbers: [19, 60, 8]
Generated Node #0,0: 52:[19, 60, 8] Operation: 62-54=8
Exploring Operation: 62-60=2, Resulting Numbers: [19, 54, 2]
Generated Node #0,1: 52:[19, 54, 2] Operation: 62-60=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[19, 54, 2], Operations: ['62-60=2']
Exploring Operation: 54-2=52, Resulting Numbers: [19, 52]
Generated Node #0,1,0: 52:[19, 52] Operation: 54-2=52
Exploring Operation: 19-2=17, Resulting Numbers: [54, 17]
Generated Node #0,1,1: 52:[54, 17] Operation: 19-2=17
Moving to Node #0,1,0
Current State: 52:[19, 52], Operations: ['62-60=2', '54-2=52']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[54, 17], Operations: ['62-60=2', '19-2=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[19, 60, 8], Operations: ['62-54=8']
Exploring Operation: 60-8=52, Resulting Numbers: [19, 52]
Generated Node #0,0,0: 52:[19, 52] Operation: 60-8=52
Exploring Operation: 19+8=27, Resulting Numbers: [60, 27]
Generated Node #0,0,1: 52:[60, 27] Operation: 19+8=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[19, 52], Operations: ['62-54=8', '60-8=52']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,52 unequal: No Solution
No 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: 52:[60, 27], Operations: ['62-54=8', '19+8=27']
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,52 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 |
[
3,
82,
95,
22
] | 75 | [
"82-22=60",
"60/3=20",
"95-20=75"
] | Current State: 75:[3, 82, 95, 22], Operations: []
Exploring Operation: 82-22=60, Resulting Numbers: [3, 95, 60]
Generated Node #2: [3, 95, 60] from Operation: 82-22=60
Current State: 75:[3, 95, 60], Operations: ['82-22=60']
Exploring Operation: 60/3=20, Resulting Numbers: [95, 20]
Generated Node #3: [95, 20] from Operation: 60/3=20
Current State: 75:[95, 20], Operations: ['82-22=60', '60/3=20']
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[3, 82, 95, 22], Operations: []
Exploring Operation: 95-22=73, Resulting Numbers: [3, 82, 73]
Generated Node #0,0: 75:[3, 82, 73] Operation: 95-22=73
Exploring Operation: 95-82=13, Resulting Numbers: [3, 22, 13]
Generated Node #0,1: 75:[3, 22, 13] Operation: 95-82=13
Moving to Node #0,1
Current State: 75:[3, 22, 13], Operations: ['95-82=13']
Exploring Operation: 3+22=25, Resulting Numbers: [13, 25]
Generated Node #0,1,0: 75:[13, 25] Operation: 3+22=25
Exploring Operation: 3+13=16, Resulting Numbers: [22, 16]
Generated Node #0,1,1: 75:[22, 16] Operation: 3+13=16
Moving to Node #0,0
Current State: 75:[3, 82, 73], Operations: ['95-22=73']
Exploring Operation: 82-3=79, Resulting Numbers: [73, 79]
Generated Node #0,0,0: 75:[73, 79] Operation: 82-3=79
Exploring Operation: 82-73=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 75:[3, 9] Operation: 82-73=9
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[3, 9], Operations: ['95-22=73', '82-73=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[73, 79], Operations: ['95-22=73', '82-3=79']
Exploring Operation: 79-73=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 73+79=152, Resulting Numbers: [152]
152,75 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: 75:[13, 25], Operations: ['95-82=13', '3+22=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[22, 16], Operations: ['95-82=13', '3+13=16']
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,75 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
27,
82,
73,
77
] | 41 | [
"27+82=109",
"73+77=150",
"150-109=41"
] | Current State: 41:[27, 82, 73, 77], Operations: []
Exploring Operation: 27+82=109, Resulting Numbers: [73, 77, 109]
Generated Node #2: [73, 77, 109] from Operation: 27+82=109
Current State: 41:[73, 77, 109], Operations: ['27+82=109']
Exploring Operation: 73+77=150, Resulting Numbers: [109, 150]
Generated Node #3: [109, 150] from Operation: 73+77=150
Current State: 41:[109, 150], Operations: ['27+82=109', '73+77=150']
Exploring Operation: 150-109=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[27, 82, 73, 77], Operations: []
Exploring Operation: 82-27=55, Resulting Numbers: [73, 77, 55]
Generated Node #0,0: 41:[73, 77, 55] Operation: 82-27=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[73, 77, 55], Operations: ['82-27=55']
Exploring Operation: 77-73=4, Resulting Numbers: [55, 4]
Generated Node #0,0,0: 41:[55, 4] Operation: 77-73=4
Moving to Node #0,0,0
Current State: 41:[55, 4], Operations: ['82-27=55', '77-73=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,41 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 |
[
54,
10,
15,
56
] | 40 | [
"54+56=110",
"10*15=150",
"150-110=40"
] | Current State: 40:[54, 10, 15, 56], Operations: []
Exploring Operation: 54+56=110, Resulting Numbers: [10, 15, 110]
Generated Node #2: [10, 15, 110] from Operation: 54+56=110
Current State: 40:[10, 15, 110], Operations: ['54+56=110']
Exploring Operation: 10*15=150, Resulting Numbers: [110, 150]
Generated Node #3: [110, 150] from Operation: 10*15=150
Current State: 40:[110, 150], Operations: ['54+56=110', '10*15=150']
Exploring Operation: 150-110=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[54, 10, 15, 56], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [10, 56, 39]
Generated Node #0,0: 40:[10, 56, 39] Operation: 54-15=39
Exploring Operation: 56-15=41, Resulting Numbers: [54, 10, 41]
Generated Node #0,1: 40:[54, 10, 41] Operation: 56-15=41
Exploring Operation: 56-10=46, Resulting Numbers: [54, 15, 46]
Generated Node #0,2: 40:[54, 15, 46] Operation: 56-10=46
Exploring Operation: 56-54=2, Resulting Numbers: [10, 15, 2]
Generated Node #0,3: 40:[10, 15, 2] Operation: 56-54=2
Exploring Operation: 54-10=44, Resulting Numbers: [15, 56, 44]
Generated Node #0,4: 40:[15, 56, 44] Operation: 54-10=44
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[10, 15, 2], Operations: ['56-54=2']
Exploring Operation: 10*2=20, Resulting Numbers: [15, 20]
Generated Node #0,3,0: 40:[15, 20] Operation: 10*2=20
Exploring Operation: 15-10=5, Resulting Numbers: [2, 5]
Generated Node #0,3,1: 40:[2, 5] Operation: 15-10=5
Exploring Operation: 15-2=13, Resulting Numbers: [10, 13]
Generated Node #0,3,2: 40:[10, 13] Operation: 15-2=13
Exploring Operation: 10+15=25, Resulting Numbers: [2, 25]
Generated Node #0,3,3: 40:[2, 25] Operation: 10+15=25
Exploring Operation: 15+2=17, Resulting Numbers: [10, 17]
Generated Node #0,3,4: 40:[10, 17] Operation: 15+2=17
Moving to Node #0,3,1
Current State: 40:[2, 5], Operations: ['56-54=2', '15-10=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Moving to Node #0,3,4
Current State: 40:[10, 17], Operations: ['56-54=2', '15+2=17']
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,40 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[10, 13], Operations: ['56-54=2', '15-2=13']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,40 unequal: No Solution
Moving to Node #0,3,0
Current State: 40:[15, 20], Operations: ['56-54=2', '10*2=20']
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,40 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[2, 25], Operations: ['56-54=2', '10+15=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,40 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
Current State: 40:[54, 10, 41], Operations: ['56-15=41']
Exploring Operation: 41-10=31, Resulting Numbers: [54, 31]
Generated Node #0,1,0: 40:[54, 31] Operation: 41-10=31
Exploring Operation: 10+41=51, Resulting Numbers: [54, 51]
Generated Node #0,1,1: 40:[54, 51] Operation: 10+41=51
Exploring Operation: 54+10=64, Resulting Numbers: [41, 64]
Generated Node #0,1,2: 40:[41, 64] Operation: 54+10=64
Exploring Operation: 54-41=13, Resulting Numbers: [10, 13]
Generated Node #0,1,3: 40:[10, 13] Operation: 54-41=13
Exploring Operation: 54-10=44, Resulting Numbers: [41, 44]
Generated Node #0,1,4: 40:[41, 44] Operation: 54-10=44
Moving to Node #0,1,3
Current State: 40:[10, 13], Operations: ['56-15=41', '54-41=13']
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,40 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Moving to Node #0,1,4
Current State: 40:[41, 44], Operations: ['56-15=41', '54-10=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,40 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[54, 31], Operations: ['56-15=41', '41-10=31']
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,40 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[54, 51], Operations: ['56-15=41', '10+41=51']
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,40 unequal: No Solution
Exploring Operation: 54*51=2754, Resulting Numbers: [2754]
2754,40 unequal: No Solution
Moving to Node #0,1,2
Current State: 40:[41, 64], Operations: ['56-15=41', '54+10=64']
Exploring Operation: 41+64=105, Resulting Numbers: [105]
105,40 unequal: No Solution
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 41*64=2624, Resulting Numbers: [2624]
2624,40 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 #0,0
Current State: 40:[10, 56, 39], Operations: ['54-15=39']
Exploring Operation: 10+39=49, Resulting Numbers: [56, 49]
Generated Node #0,0,0: 40:[56, 49] Operation: 10+39=49
Exploring Operation: 10+56=66, Resulting Numbers: [39, 66]
Generated Node #0,0,1: 40:[39, 66] Operation: 10+56=66
Exploring Operation: 56-39=17, Resulting Numbers: [10, 17]
Generated Node #0,0,2: 40:[10, 17] Operation: 56-39=17
Exploring Operation: 56-10=46, Resulting Numbers: [39, 46]
Generated Node #0,0,3: 40:[39, 46] Operation: 56-10=46
Exploring Operation: 39-10=29, Resulting Numbers: [56, 29]
Generated Node #0,0,4: 40:[56, 29] Operation: 39-10=29
Moving to Node #0,0,2
Current State: 40:[10, 17], Operations: ['54-15=39', '56-39=17']
Exploring Operation: 10*17=170, Resulting Numbers: [170]
170,40 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[39, 46], Operations: ['54-15=39', '56-10=46']
Exploring Operation: 39+46=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Exploring Operation: 39*46=1794, Resulting Numbers: [1794]
1794,40 unequal: No Solution
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[56, 49], Operations: ['54-15=39', '10+39=49']
Exploring Operation: 56-49=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 56+49=105, Resulting Numbers: [105]
105,40 unequal: No Solution
Exploring Operation: 56*49=2744, Resulting Numbers: [2744]
2744,40 unequal: No Solution
Moving to Node #0,0,4
Current State: 40:[56, 29], Operations: ['54-15=39', '39-10=29']
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,40 unequal: No Solution
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[39, 66], Operations: ['54-15=39', '10+56=66']
Exploring Operation: 39*66=2574, Resulting Numbers: [2574]
2574,40 unequal: No Solution
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 39+66=105, Resulting Numbers: [105]
105,40 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 #0,2
Current State: 40:[54, 15, 46], Operations: ['56-10=46']
Exploring Operation: 46-15=31, Resulting Numbers: [54, 31]
Generated Node #0,2,0: 40:[54, 31] Operation: 46-15=31
Exploring Operation: 54-46=8, Resulting Numbers: [15, 8]
Generated Node #0,2,1: 40:[15, 8] Operation: 54-46=8
Exploring Operation: 54-15=39, Resulting Numbers: [46, 39]
Generated Node #0,2,2: 40:[46, 39] Operation: 54-15=39
Exploring Operation: 15+46=61, Resulting Numbers: [54, 61]
Generated Node #0,2,3: 40:[54, 61] Operation: 15+46=61
Exploring Operation: 54+15=69, Resulting Numbers: [46, 69]
Generated Node #0,2,4: 40:[46, 69] Operation: 54+15=69
Moving to Node #0,2,1
Current State: 40:[15, 8], Operations: ['56-10=46', '54-46=8']
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,40 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[46, 39], Operations: ['56-10=46', '54-15=39']
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 46+39=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Exploring Operation: 46*39=1794, Resulting Numbers: [1794]
1794,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[54, 31], Operations: ['56-10=46', '46-15=31']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,40 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[54, 61], Operations: ['56-10=46', '15+46=61']
Exploring Operation: 54+61=115, Resulting Numbers: [115]
115,40 unequal: No Solution
Exploring Operation: 54*61=3294, Resulting Numbers: [3294]
3294,40 unequal: No Solution
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Moving to Node #0,2,4
Current State: 40:[46, 69], Operations: ['56-10=46', '54+15=69']
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 46+69=115, Resulting Numbers: [115]
115,40 unequal: No Solution
Exploring Operation: 46*69=3174, Resulting Numbers: [3174]
3174,40 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 #0,4
Current State: 40:[15, 56, 44], Operations: ['54-10=44']
Exploring Operation: 44-15=29, Resulting Numbers: [56, 29]
Generated Node #0,4,0: 40:[56, 29] Operation: 44-15=29
Exploring Operation: 56-44=12, Resulting Numbers: [15, 12]
Generated Node #0,4,1: 40:[15, 12] Operation: 56-44=12
Exploring Operation: 15+56=71, Resulting Numbers: [44, 71]
Generated Node #0,4,2: 40:[44, 71] Operation: 15+56=71
Exploring Operation: 15+44=59, Resulting Numbers: [56, 59]
Generated Node #0,4,3: 40:[56, 59] Operation: 15+44=59
Exploring Operation: 56-15=41, Resulting Numbers: [44, 41]
Generated Node #0,4,4: 40:[44, 41] Operation: 56-15=41
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 40:[44, 41], Operations: ['54-10=44', '56-15=41']
Exploring Operation: 44*41=1804, Resulting Numbers: [1804]
1804,40 unequal: No Solution
Exploring Operation: 44+41=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 40:[15, 12], Operations: ['54-10=44', '56-44=12']
Exploring Operation: 15*12=180, Resulting Numbers: [180]
180,40 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 15+12=27, Resulting Numbers: [27]
27,40 unequal: No Solution
No 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: 40:[56, 29], Operations: ['54-10=44', '44-15=29']
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,40 unequal: No Solution
No 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: 40:[44, 71], Operations: ['54-10=44', '15+56=71']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 44+71=115, Resulting Numbers: [115]
115,40 unequal: No Solution
Exploring Operation: 44*71=3124, Resulting Numbers: [3124]
3124,40 unequal: No Solution
No 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: 40:[56, 59], Operations: ['54-10=44', '15+44=59']
Exploring Operation: 56*59=3304, Resulting Numbers: [3304]
3304,40 unequal: No Solution
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 56+59=115, Resulting Numbers: [115]
115,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
6,
4,
65,
2
] | 65 | [
"6-4=2",
"65+2=67",
"67-2=65"
] | Current State: 65:[6, 4, 65, 2], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [65, 2, 2]
Generated Node #2: [65, 2, 2] from Operation: 6-4=2
Current State: 65:[65, 2, 2], Operations: ['6-4=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,65 equal: Goal Reached
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[6, 4, 65, 2], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [4, 65, 4]
Generated Node #0,0: 65:[4, 65, 4] Operation: 6-2=4
Exploring Operation: 6*2=12, Resulting Numbers: [4, 65, 12]
Generated Node #0,1: 65:[4, 65, 12] Operation: 6*2=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[4, 65, 4], Operations: ['6-2=4']
Exploring Operation: 4+4=8, Resulting Numbers: [65, 8]
Generated Node #0,0,0: 65:[65, 8] Operation: 4+4=8
Exploring Operation: 4*4=16, Resulting Numbers: [65, 16]
Generated Node #0,0,1: 65:[65, 16] Operation: 4*4=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[65, 8], Operations: ['6-2=4', '4+4=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,65 unequal: No Solution
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[65, 16], Operations: ['6-2=4', '4*4=16']
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,65 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[4, 65, 12], Operations: ['6*2=12']
Exploring Operation: 4+12=16, Resulting Numbers: [65, 16]
Generated Node #0,1,0: 65:[65, 16] Operation: 4+12=16
Exploring Operation: 12/4=3, Resulting Numbers: [65, 3]
Generated Node #0,1,1: 65:[65, 3] Operation: 12/4=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[65, 3], Operations: ['6*2=12', '12/4=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,65 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[65, 16], Operations: ['6*2=12', '4+12=16']
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,65 unequal: No Solution
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
39,
41,
98,
52
] | 48 | [
"41-39=2",
"98-52=46",
"2+46=48"
] | Current State: 48:[39, 41, 98, 52], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [98, 52, 2]
Generated Node #2: [98, 52, 2] from Operation: 41-39=2
Current State: 48:[98, 52, 2], Operations: ['41-39=2']
Exploring Operation: 98-52=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 98-52=46
Current State: 48:[2, 46], Operations: ['41-39=2', '98-52=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[39, 41, 98, 52], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [39, 41, 46]
Generated Node #0,0: 48:[39, 41, 46] Operation: 98-52=46
Moving to Node #0,0
Current State: 48:[39, 41, 46], Operations: ['98-52=46']
Exploring Operation: 41-39=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 48:[46, 2] Operation: 41-39=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[46, 2], Operations: ['98-52=46', '41-39=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[39, 41, 98, 52], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [39, 41, 46]
Generated Node #0,0: 48:[39, 41, 46] Operation: 98-52=46
Moving to Node #0,0
Current State: 48:[39, 41, 46], Operations: ['98-52=46']
Exploring Operation: 41-39=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 48:[46, 2] Operation: 41-39=2
Moving to Node #0,0,0
Current State: 48:[46, 2], Operations: ['98-52=46', '41-39=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
23,
46,
42,
78
] | 51 | [
"23+46=69",
"42+78=120",
"120-69=51"
] | Current State: 51:[23, 46, 42, 78], Operations: []
Exploring Operation: 23+46=69, Resulting Numbers: [42, 78, 69]
Generated Node #2: [42, 78, 69] from Operation: 23+46=69
Current State: 51:[42, 78, 69], Operations: ['23+46=69']
Exploring Operation: 42+78=120, Resulting Numbers: [69, 120]
Generated Node #3: [69, 120] from Operation: 42+78=120
Current State: 51:[69, 120], Operations: ['23+46=69', '42+78=120']
Exploring Operation: 120-69=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[23, 46, 42, 78], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [23, 46, 36]
Generated Node #0,0: 51:[23, 46, 36] Operation: 78-42=36
Exploring Operation: 78-46=32, Resulting Numbers: [23, 42, 32]
Generated Node #0,1: 51:[23, 42, 32] Operation: 78-46=32
Exploring Operation: 78-23=55, Resulting Numbers: [46, 42, 55]
Generated Node #0,2: 51:[46, 42, 55] Operation: 78-23=55
Exploring Operation: 42-23=19, Resulting Numbers: [46, 78, 19]
Generated Node #0,3: 51:[46, 78, 19] Operation: 42-23=19
Moving to Node #0,2
Current State: 51:[46, 42, 55], Operations: ['78-23=55']
Exploring Operation: 55-42=13, Resulting Numbers: [46, 13]
Generated Node #0,2,0: 51:[46, 13] Operation: 55-42=13
Exploring Operation: 46-42=4, Resulting Numbers: [55, 4]
Generated Node #0,2,1: 51:[55, 4] Operation: 46-42=4
Exploring Operation: 46+42=88, Resulting Numbers: [55, 88]
Generated Node #0,2,2: 51:[55, 88] Operation: 46+42=88
Exploring Operation: 55-46=9, Resulting Numbers: [42, 9]
Generated Node #0,2,3: 51:[42, 9] Operation: 55-46=9
Moving to Node #0,0
Current State: 51:[23, 46, 36], Operations: ['78-42=36']
Exploring Operation: 46-36=10, Resulting Numbers: [23, 10]
Generated Node #0,0,0: 51:[23, 10] Operation: 46-36=10
Exploring Operation: 36-23=13, Resulting Numbers: [46, 13]
Generated Node #0,0,1: 51:[46, 13] Operation: 36-23=13
Exploring Operation: 46/23=2, Resulting Numbers: [36, 2]
Generated Node #0,0,2: 51:[36, 2] Operation: 46/23=2
Exploring Operation: 23+36=59, Resulting Numbers: [46, 59]
Generated Node #0,0,3: 51:[46, 59] Operation: 23+36=59
Moving to Node #0,1
Current State: 51:[23, 42, 32], Operations: ['78-46=32']
Exploring Operation: 32-23=9, Resulting Numbers: [42, 9]
Generated Node #0,1,0: 51:[42, 9] Operation: 32-23=9
Exploring Operation: 42-32=10, Resulting Numbers: [23, 10]
Generated Node #0,1,1: 51:[23, 10] Operation: 42-32=10
Exploring Operation: 42-23=19, Resulting Numbers: [32, 19]
Generated Node #0,1,2: 51:[32, 19] Operation: 42-23=19
Exploring Operation: 23+32=55, Resulting Numbers: [42, 55]
Generated Node #0,1,3: 51:[42, 55] Operation: 23+32=55
Moving to Node #0,3
Current State: 51:[46, 78, 19], Operations: ['42-23=19']
Exploring Operation: 78-19=59, Resulting Numbers: [46, 59]
Generated Node #0,3,0: 51:[46, 59] Operation: 78-19=59
Exploring Operation: 46-19=27, Resulting Numbers: [78, 27]
Generated Node #0,3,1: 51:[78, 27] Operation: 46-19=27
Exploring Operation: 78-46=32, Resulting Numbers: [19, 32]
Generated Node #0,3,2: 51:[19, 32] Operation: 78-46=32
Exploring Operation: 46+19=65, Resulting Numbers: [78, 65]
Generated Node #0,3,3: 51:[78, 65] Operation: 46+19=65
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 51:[46, 59], Operations: ['42-23=19', '78-19=59']
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 46+59=105, Resulting Numbers: [105]
105,51 unequal: No Solution
Exploring Operation: 46*59=2714, Resulting Numbers: [2714]
2714,51 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 #0,3,2
Current State: 51:[19, 32], Operations: ['42-23=19', '78-46=32']
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,51 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[23, 46, 42, 78], Operations: []
Exploring Operation: 42-23=19, Resulting Numbers: [46, 78, 19]
Generated Node #0,3: 51:[46, 78, 19] Operation: 42-23=19
Moving to Node #0,3
Current State: 51:[46, 78, 19], Operations: ['42-23=19']
Exploring Operation: 78-46=32, Resulting Numbers: [19, 32]
Generated Node #0,3,2: 51:[19, 32] Operation: 78-46=32
Moving to Node #0,3,2
Current State: 51:[19, 32], Operations: ['42-23=19', '78-46=32']
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
72,
86,
95,
65
] | 57 | [
"95-86=9",
"72/9=8",
"65-8=57"
] | Current State: 57:[72, 86, 95, 65], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [72, 65, 9]
Generated Node #2: [72, 65, 9] from Operation: 95-86=9
Current State: 57:[72, 65, 9], Operations: ['95-86=9']
Exploring Operation: 72/9=8, Resulting Numbers: [65, 8]
Generated Node #3: [65, 8] from Operation: 72/9=8
Current State: 57:[65, 8], Operations: ['95-86=9', '72/9=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[72, 86, 95, 65], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [72, 65, 9]
Generated Node #0,0: 57:[72, 65, 9] Operation: 95-86=9
Exploring Operation: 86-72=14, Resulting Numbers: [95, 65, 14]
Generated Node #0,1: 57:[95, 65, 14] Operation: 86-72=14
Exploring Operation: 86-65=21, Resulting Numbers: [72, 95, 21]
Generated Node #0,2: 57:[72, 95, 21] Operation: 86-65=21
Exploring Operation: 95-72=23, Resulting Numbers: [86, 65, 23]
Generated Node #0,3: 57:[86, 65, 23] Operation: 95-72=23
Moving to Node #0,0
Current State: 57:[72, 65, 9], Operations: ['95-86=9']
Exploring Operation: 72-9=63, Resulting Numbers: [65, 63]
Generated Node #0,0,0: 57:[65, 63] Operation: 72-9=63
Exploring Operation: 65-9=56, Resulting Numbers: [72, 56]
Generated Node #0,0,1: 57:[72, 56] Operation: 65-9=56
Exploring Operation: 72-65=7, Resulting Numbers: [9, 7]
Generated Node #0,0,2: 57:[9, 7] Operation: 72-65=7
Exploring Operation: 72/9=8, Resulting Numbers: [65, 8]
Generated Node #0,0,3: 57:[65, 8] Operation: 72/9=8
Moving to Node #0,3
Current State: 57:[86, 65, 23], Operations: ['95-72=23']
Exploring Operation: 86+23=109, Resulting Numbers: [65, 109]
Generated Node #0,3,0: 57:[65, 109] Operation: 86+23=109
Exploring Operation: 86-23=63, Resulting Numbers: [65, 63]
Generated Node #0,3,1: 57:[65, 63] Operation: 86-23=63
Exploring Operation: 86-65=21, Resulting Numbers: [23, 21]
Generated Node #0,3,2: 57:[23, 21] Operation: 86-65=21
Exploring Operation: 65-23=42, Resulting Numbers: [86, 42]
Generated Node #0,3,3: 57:[86, 42] Operation: 65-23=42
Moving to Node #0,1
Current State: 57:[95, 65, 14], Operations: ['86-72=14']
Exploring Operation: 95-14=81, Resulting Numbers: [65, 81]
Generated Node #0,1,0: 57:[65, 81] Operation: 95-14=81
Exploring Operation: 65-14=51, Resulting Numbers: [95, 51]
Generated Node #0,1,1: 57:[95, 51] Operation: 65-14=51
Exploring Operation: 95-65=30, Resulting Numbers: [14, 30]
Generated Node #0,1,2: 57:[14, 30] Operation: 95-65=30
Exploring Operation: 95+14=109, Resulting Numbers: [65, 109]
Generated Node #0,1,3: 57:[65, 109] Operation: 95+14=109
Moving to Node #0,2
Current State: 57:[72, 95, 21], Operations: ['86-65=21']
Exploring Operation: 72+21=93, Resulting Numbers: [95, 93]
Generated Node #0,2,0: 57:[95, 93] Operation: 72+21=93
Exploring Operation: 95-21=74, Resulting Numbers: [72, 74]
Generated Node #0,2,1: 57:[72, 74] Operation: 95-21=74
Exploring Operation: 95-72=23, Resulting Numbers: [21, 23]
Generated Node #0,2,2: 57:[21, 23] Operation: 95-72=23
Exploring Operation: 72-21=51, Resulting Numbers: [95, 51]
Generated Node #0,2,3: 57:[95, 51] Operation: 72-21=51
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[21, 23], Operations: ['86-65=21', '95-72=23']
Exploring Operation: 21*23=483, Resulting Numbers: [483]
483,57 unequal: No Solution
Exploring Operation: 21+23=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,57 unequal: No Solution
No 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: 57:[72, 74], Operations: ['86-65=21', '95-21=74']
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 72*74=5328, Resulting Numbers: [5328]
5328,57 unequal: No Solution
Exploring Operation: 72+74=146, Resulting Numbers: [146]
146,57 unequal: No Solution
No 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: 57:[95, 51], Operations: ['86-65=21', '72-21=51']
Exploring Operation: 95-51=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 95*51=4845, Resulting Numbers: [4845]
4845,57 unequal: No Solution
Exploring Operation: 95+51=146, Resulting Numbers: [146]
146,57 unequal: No Solution
No 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: 57:[95, 93], Operations: ['86-65=21', '72+21=93']
Exploring Operation: 95-93=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 95+93=188, Resulting Numbers: [188]
188,57 unequal: No Solution
Exploring Operation: 95*93=8835, Resulting Numbers: [8835]
8835,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 57:[23, 21], Operations: ['95-72=23', '86-65=21']
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,57 unequal: No Solution
Exploring Operation: 23*21=483, Resulting Numbers: [483]
483,57 unequal: No Solution
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[9, 7], Operations: ['95-86=9', '72-65=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,57 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[65, 8], Operations: ['95-86=9', '72/9=8']
Exploring Operation: 65*8=520, Resulting Numbers: [520]
520,57 unequal: No Solution
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[72, 86, 95, 65], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [72, 65, 9]
Generated Node #0,0: 57:[72, 65, 9] Operation: 95-86=9
Moving to Node #0,0
Current State: 57:[72, 65, 9], Operations: ['95-86=9']
Exploring Operation: 72/9=8, Resulting Numbers: [65, 8]
Generated Node #0,0,3: 57:[65, 8] Operation: 72/9=8
Moving to Node #0,0,3
Current State: 57:[65, 8], Operations: ['95-86=9', '72/9=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.961806 | hs_4 | mult_heuristic |
[
42,
33,
50,
85
] | 44 | [
"42-33=9",
"85-50=35",
"9+35=44"
] | Current State: 44:[42, 33, 50, 85], Operations: []
Exploring Operation: 42-33=9, Resulting Numbers: [50, 85, 9]
Generated Node #2: [50, 85, 9] from Operation: 42-33=9
Current State: 44:[50, 85, 9], Operations: ['42-33=9']
Exploring Operation: 85-50=35, Resulting Numbers: [9, 35]
Generated Node #3: [9, 35] from Operation: 85-50=35
Current State: 44:[9, 35], Operations: ['42-33=9', '85-50=35']
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[42, 33, 50, 85], Operations: []
Exploring Operation: 85-42=43, Resulting Numbers: [33, 50, 43]
Generated Node #0,0: 44:[33, 50, 43] Operation: 85-42=43
Exploring Operation: 85-33=52, Resulting Numbers: [42, 50, 52]
Generated Node #0,1: 44:[42, 50, 52] Operation: 85-33=52
Moving to Node #0,1
Current State: 44:[42, 50, 52], Operations: ['85-33=52']
Exploring Operation: 52-42=10, Resulting Numbers: [50, 10]
Generated Node #0,1,0: 44:[50, 10] Operation: 52-42=10
Exploring Operation: 52-50=2, Resulting Numbers: [42, 2]
Generated Node #0,1,1: 44:[42, 2] Operation: 52-50=2
Moving to Node #0,0
Current State: 44:[33, 50, 43], Operations: ['85-42=43']
Exploring Operation: 50-33=17, Resulting Numbers: [43, 17]
Generated Node #0,0,0: 44:[43, 17] Operation: 50-33=17
Exploring Operation: 43-33=10, Resulting Numbers: [50, 10]
Generated Node #0,0,1: 44:[50, 10] Operation: 43-33=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[43, 17], Operations: ['85-42=43', '50-33=17']
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,44 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,44 unequal: No Solution
No 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: 44:[50, 10], Operations: ['85-42=43', '43-33=10']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,44 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: 44:[42, 2], Operations: ['85-33=52', '52-50=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[42, 33, 50, 85], Operations: []
Exploring Operation: 85-33=52, Resulting Numbers: [42, 50, 52]
Generated Node #0,1: 44:[42, 50, 52] Operation: 85-33=52
Moving to Node #0,1
Current State: 44:[42, 50, 52], Operations: ['85-33=52']
Exploring Operation: 52-50=2, Resulting Numbers: [42, 2]
Generated Node #0,1,1: 44:[42, 2] Operation: 52-50=2
Moving to Node #0,1,1
Current State: 44:[42, 2], Operations: ['85-33=52', '52-50=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
87,
19,
77,
86
] | 84 | [
"86-77=9",
"19*9=171",
"171-87=84"
] | Current State: 84:[87, 19, 77, 86], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [87, 19, 9]
Generated Node #2: [87, 19, 9] from Operation: 86-77=9
Current State: 84:[87, 19, 9], Operations: ['86-77=9']
Exploring Operation: 19*9=171, Resulting Numbers: [87, 171]
Generated Node #3: [87, 171] from Operation: 19*9=171
Current State: 84:[87, 171], Operations: ['86-77=9', '19*9=171']
Exploring Operation: 171-87=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[87, 19, 77, 86], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [19, 77, 1]
Generated Node #0,0: 84:[19, 77, 1] Operation: 87-86=1
Exploring Operation: 87-77=10, Resulting Numbers: [19, 86, 10]
Generated Node #0,1: 84:[19, 86, 10] Operation: 87-77=10
Exploring Operation: 19+77=96, Resulting Numbers: [87, 86, 96]
Generated Node #0,2: 84:[87, 86, 96] Operation: 19+77=96
Exploring Operation: 86-77=9, Resulting Numbers: [87, 19, 9]
Generated Node #0,3: 84:[87, 19, 9] Operation: 86-77=9
Moving to Node #0,1
Current State: 84:[19, 86, 10], Operations: ['87-77=10']
Exploring Operation: 19-10=9, Resulting Numbers: [86, 9]
Generated Node #0,1,0: 84:[86, 9] Operation: 19-10=9
Exploring Operation: 19+10=29, Resulting Numbers: [86, 29]
Generated Node #0,1,1: 84:[86, 29] Operation: 19+10=29
Exploring Operation: 86+10=96, Resulting Numbers: [19, 96]
Generated Node #0,1,2: 84:[19, 96] Operation: 86+10=96
Exploring Operation: 86-10=76, Resulting Numbers: [19, 76]
Generated Node #0,1,3: 84:[19, 76] Operation: 86-10=76
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[86, 29], Operations: ['87-77=10', '19+10=29']
Exploring Operation: 86+29=115, Resulting Numbers: [115]
115,84 unequal: No Solution
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 86*29=2494, Resulting Numbers: [2494]
2494,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[86, 9], Operations: ['87-77=10', '19-10=9']
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 86*9=774, Resulting Numbers: [774]
774,84 unequal: No Solution
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 84:[19, 76], Operations: ['87-77=10', '86-10=76']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 19*76=1444, Resulting Numbers: [1444]
1444,84 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,84 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 84:[19, 96], Operations: ['87-77=10', '86+10=96']
Exploring Operation: 19*96=1824, Resulting Numbers: [1824]
1824,84 unequal: No Solution
Exploring Operation: 19+96=115, Resulting Numbers: [115]
115,84 unequal: No Solution
Exploring Operation: 96-19=77, Resulting Numbers: [77]
77,84 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: 84:[87, 19, 9], Operations: ['86-77=9']
Exploring Operation: 19+9=28, Resulting Numbers: [87, 28]
Generated Node #0,3,0: 84:[87, 28] Operation: 19+9=28
Exploring Operation: 87+9=96, Resulting Numbers: [19, 96]
Generated Node #0,3,1: 84:[19, 96] Operation: 87+9=96
Exploring Operation: 19-9=10, Resulting Numbers: [87, 10]
Generated Node #0,3,2: 84:[87, 10] Operation: 19-9=10
Exploring Operation: 87-9=78, Resulting Numbers: [19, 78]
Generated Node #0,3,3: 84:[19, 78] Operation: 87-9=78
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 84:[87, 28], Operations: ['86-77=9', '19+9=28']
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 87*28=2436, Resulting Numbers: [2436]
2436,84 unequal: No Solution
Exploring Operation: 87+28=115, Resulting Numbers: [115]
115,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[87, 10], Operations: ['86-77=9', '19-9=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 87*10=870, Resulting Numbers: [870]
870,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 84:[19, 78], Operations: ['86-77=9', '87-9=78']
Exploring Operation: 19*78=1482, Resulting Numbers: [1482]
1482,84 unequal: No Solution
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 19+78=97, Resulting Numbers: [97]
97,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 84:[19, 96], Operations: ['86-77=9', '87+9=96']
Exploring Operation: 96-19=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 19*96=1824, Resulting Numbers: [1824]
1824,84 unequal: No Solution
Exploring Operation: 19+96=115, Resulting Numbers: [115]
115,84 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: 84:[19, 77, 1], Operations: ['87-86=1']
Exploring Operation: 19*1=19, Resulting Numbers: [77, 19]
Generated Node #0,0,0: 84:[77, 19] Operation: 19*1=19
Exploring Operation: 19+1=20, Resulting Numbers: [77, 20]
Generated Node #0,0,1: 84:[77, 20] Operation: 19+1=20
Exploring Operation: 77+1=78, Resulting Numbers: [19, 78]
Generated Node #0,0,2: 84:[19, 78] Operation: 77+1=78
Exploring Operation: 19/1=19, Resulting Numbers: [77, 19]
Generated Node #0,0,3: 84:[77, 19] Operation: 19/1=19
Moving to Node #0,2
Current State: 84:[87, 86, 96], Operations: ['19+77=96']
Exploring Operation: 87+86=173, Resulting Numbers: [96, 173]
Generated Node #0,2,0: 84:[96, 173] Operation: 87+86=173
Exploring Operation: 96-86=10, Resulting Numbers: [87, 10]
Generated Node #0,2,1: 84:[87, 10] Operation: 96-86=10
Exploring Operation: 96-87=9, Resulting Numbers: [86, 9]
Generated Node #0,2,2: 84:[86, 9] Operation: 96-87=9
Exploring Operation: 87-86=1, Resulting Numbers: [96, 1]
Generated Node #0,2,3: 84:[96, 1] Operation: 87-86=1
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[86, 9], Operations: ['19+77=96', '96-87=9']
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,84 unequal: No Solution
Exploring Operation: 86*9=774, Resulting Numbers: [774]
774,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[87, 10], Operations: ['19+77=96', '96-86=10']
Exploring Operation: 87*10=870, Resulting Numbers: [870]
870,84 unequal: No Solution
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 84:[96, 1], Operations: ['19+77=96', '87-86=1']
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[96, 173], Operations: ['19+77=96', '87+86=173']
Exploring Operation: 96+173=269, Resulting Numbers: [269]
269,84 unequal: No Solution
Exploring Operation: 96*173=16608, Resulting Numbers: [16608]
16608,84 unequal: No Solution
Exploring Operation: 173-96=77, Resulting Numbers: [77]
77,84 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: 84:[77, 20], Operations: ['87-86=1', '19+1=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[19, 78], Operations: ['87-86=1', '77+1=78']
Exploring Operation: 19+78=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 19*78=1482, Resulting Numbers: [1482]
1482,84 unequal: No Solution
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[77, 19], Operations: ['87-86=1', '19/1=19']
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,84 unequal: No Solution
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 77*19=1463, Resulting Numbers: [1463]
1463,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[77, 19], Operations: ['87-86=1', '19*1=19']
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,84 unequal: No Solution
Exploring Operation: 77*19=1463, Resulting Numbers: [1463]
1463,84 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
96,
29,
65,
38
] | 19 | [
"96-29=67",
"67-65=2",
"38/2=19"
] | Current State: 19:[96, 29, 65, 38], Operations: []
Exploring Operation: 96-29=67, Resulting Numbers: [65, 38, 67]
Generated Node #2: [65, 38, 67] from Operation: 96-29=67
Current State: 19:[65, 38, 67], Operations: ['96-29=67']
Exploring Operation: 67-65=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 67-65=2
Current State: 19:[38, 2], Operations: ['96-29=67', '67-65=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[96, 29, 65, 38], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [29, 38, 31]
Generated Node #0,0: 19:[29, 38, 31] Operation: 96-65=31
Exploring Operation: 96-38=58, Resulting Numbers: [29, 65, 58]
Generated Node #0,1: 19:[29, 65, 58] Operation: 96-38=58
Exploring Operation: 65-38=27, Resulting Numbers: [96, 29, 27]
Generated Node #0,2: 19:[96, 29, 27] Operation: 65-38=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[29, 38, 31], Operations: ['96-65=31']
Exploring Operation: 38-31=7, Resulting Numbers: [29, 7]
Generated Node #0,0,0: 19:[29, 7] Operation: 38-31=7
Exploring Operation: 38-29=9, Resulting Numbers: [31, 9]
Generated Node #0,0,1: 19:[31, 9] Operation: 38-29=9
Exploring Operation: 31-29=2, Resulting Numbers: [38, 2]
Generated Node #0,0,2: 19:[38, 2] Operation: 31-29=2
Moving to Node #0,0,0
Current State: 19:[29, 7], Operations: ['96-65=31', '38-31=7']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 29*7=203, Resulting Numbers: [203]
203,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[31, 9], Operations: ['96-65=31', '38-29=9']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 31*9=279, Resulting Numbers: [279]
279,19 unequal: No Solution
Exploring Operation: 31+9=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[38, 2], Operations: ['96-65=31', '31-29=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[96, 29, 65, 38], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [29, 38, 31]
Generated Node #0,0: 19:[29, 38, 31] Operation: 96-65=31
Moving to Node #0,0
Current State: 19:[29, 38, 31], Operations: ['96-65=31']
Exploring Operation: 31-29=2, Resulting Numbers: [38, 2]
Generated Node #0,0,2: 19:[38, 2] Operation: 31-29=2
Moving to Node #0,0,2
Current State: 19:[38, 2], Operations: ['96-65=31', '31-29=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
59,
35,
31,
38
] | 87 | [
"59+35=94",
"38-31=7",
"94-7=87"
] | Current State: 87:[59, 35, 31, 38], Operations: []
Exploring Operation: 59+35=94, Resulting Numbers: [31, 38, 94]
Generated Node #2: [31, 38, 94] from Operation: 59+35=94
Current State: 87:[31, 38, 94], Operations: ['59+35=94']
Exploring Operation: 38-31=7, Resulting Numbers: [94, 7]
Generated Node #3: [94, 7] from Operation: 38-31=7
Current State: 87:[94, 7], Operations: ['59+35=94', '38-31=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[59, 35, 31, 38], Operations: []
Exploring Operation: 59-31=28, Resulting Numbers: [35, 38, 28]
Generated Node #0,0: 87:[35, 38, 28] Operation: 59-31=28
Exploring Operation: 59-35=24, Resulting Numbers: [31, 38, 24]
Generated Node #0,1: 87:[31, 38, 24] Operation: 59-35=24
Moving to Node #0,0
Current State: 87:[35, 38, 28], Operations: ['59-31=28']
Exploring Operation: 35-28=7, Resulting Numbers: [38, 7]
Generated Node #0,0,0: 87:[38, 7] Operation: 35-28=7
Exploring Operation: 38-35=3, Resulting Numbers: [28, 3]
Generated Node #0,0,1: 87:[28, 3] Operation: 38-35=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[28, 3], Operations: ['59-31=28', '38-35=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,87 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:[38, 7], Operations: ['59-31=28', '35-28=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,87 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: 87:[31, 38, 24], Operations: ['59-35=24']
Exploring Operation: 31-24=7, Resulting Numbers: [38, 7]
Generated Node #0,1,0: 87:[38, 7] Operation: 31-24=7
Exploring Operation: 38-31=7, Resulting Numbers: [24, 7]
Generated Node #0,1,1: 87:[24, 7] Operation: 38-31=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[24, 7], Operations: ['59-35=24', '38-31=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[38, 7], Operations: ['59-35=24', '31-24=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
52,
98,
76,
16
] | 14 | [
"98-52=46",
"76-16=60",
"60-46=14"
] | Current State: 14:[52, 98, 76, 16], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [76, 16, 46]
Generated Node #2: [76, 16, 46] from Operation: 98-52=46
Current State: 14:[76, 16, 46], Operations: ['98-52=46']
Exploring Operation: 76-16=60, Resulting Numbers: [46, 60]
Generated Node #3: [46, 60] from Operation: 76-16=60
Current State: 14:[46, 60], Operations: ['98-52=46', '76-16=60']
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[52, 98, 76, 16], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [52, 16, 22]
Generated Node #0,0: 14:[52, 16, 22] Operation: 98-76=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[52, 16, 22], Operations: ['98-76=22']
Exploring Operation: 52-22=30, Resulting Numbers: [16, 30]
Generated Node #0,0,0: 14:[16, 30] Operation: 52-22=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[16, 30], Operations: ['98-76=22', '52-22=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[52, 98, 76, 16], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [52, 16, 22]
Generated Node #0,0: 14:[52, 16, 22] Operation: 98-76=22
Moving to Node #0,0
Current State: 14:[52, 16, 22], Operations: ['98-76=22']
Exploring Operation: 52-22=30, Resulting Numbers: [16, 30]
Generated Node #0,0,0: 14:[16, 30] Operation: 52-22=30
Moving to Node #0,0,0
Current State: 14:[16, 30], Operations: ['98-76=22', '52-22=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
49,
69,
89,
80
] | 40 | [
"49+89=138",
"69*80=5520",
"5520/138=40"
] | Current State: 40:[49, 69, 89, 80], Operations: []
Exploring Operation: 49+89=138, Resulting Numbers: [69, 80, 138]
Generated Node #2: [69, 80, 138] from Operation: 49+89=138
Current State: 40:[69, 80, 138], Operations: ['49+89=138']
Exploring Operation: 69*80=5520, Resulting Numbers: [138, 5520]
Generated Node #3: [138, 5520] from Operation: 69*80=5520
Current State: 40:[138, 5520], Operations: ['49+89=138', '69*80=5520']
Exploring Operation: 5520/138=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[49, 69, 89, 80], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [49, 69, 9]
Generated Node #0,0: 40:[49, 69, 9] Operation: 89-80=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[49, 69, 9], Operations: ['89-80=9']
Exploring Operation: 69-49=20, Resulting Numbers: [9, 20]
Generated Node #0,0,0: 40:[9, 20] Operation: 69-49=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[9, 20], Operations: ['89-80=9', '69-49=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,40 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 |
[
21,
85,
57,
17
] | 24 | [
"85-21=64",
"57-17=40",
"64-40=24"
] | Current State: 24:[21, 85, 57, 17], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [57, 17, 64]
Generated Node #2: [57, 17, 64] from Operation: 85-21=64
Current State: 24:[57, 17, 64], Operations: ['85-21=64']
Exploring Operation: 57-17=40, Resulting Numbers: [64, 40]
Generated Node #3: [64, 40] from Operation: 57-17=40
Current State: 24:[64, 40], Operations: ['85-21=64', '57-17=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[21, 85, 57, 17], Operations: []
Exploring Operation: 85-17=68, Resulting Numbers: [21, 57, 68]
Generated Node #0,0: 24:[21, 57, 68] Operation: 85-17=68
Exploring Operation: 85/17=5, Resulting Numbers: [21, 57, 5]
Generated Node #0,1: 24:[21, 57, 5] Operation: 85/17=5
Exploring Operation: 85-57=28, Resulting Numbers: [21, 17, 28]
Generated Node #0,2: 24:[21, 17, 28] Operation: 85-57=28
Exploring Operation: 57-21=36, Resulting Numbers: [85, 17, 36]
Generated Node #0,3: 24:[85, 17, 36] Operation: 57-21=36
Exploring Operation: 85-21=64, Resulting Numbers: [57, 17, 64]
Generated Node #0,4: 24:[57, 17, 64] Operation: 85-21=64
Moving to Node #0,2
Current State: 24:[21, 17, 28], Operations: ['85-57=28']
Exploring Operation: 28-21=7, Resulting Numbers: [17, 7]
Generated Node #0,2,0: 24:[17, 7] Operation: 28-21=7
Exploring Operation: 21-17=4, Resulting Numbers: [28, 4]
Generated Node #0,2,1: 24:[28, 4] Operation: 21-17=4
Exploring Operation: 17+28=45, Resulting Numbers: [21, 45]
Generated Node #0,2,2: 24:[21, 45] Operation: 17+28=45
Exploring Operation: 21+17=38, Resulting Numbers: [28, 38]
Generated Node #0,2,3: 24:[28, 38] Operation: 21+17=38
Exploring Operation: 28-17=11, Resulting Numbers: [21, 11]
Generated Node #0,2,4: 24:[21, 11] Operation: 28-17=11
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[28, 4], Operations: ['85-57=28', '21-17=4']
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[21, 85, 57, 17], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [21, 17, 28]
Generated Node #0,2: 24:[21, 17, 28] Operation: 85-57=28
Moving to Node #0,2
Current State: 24:[21, 17, 28], Operations: ['85-57=28']
Exploring Operation: 21-17=4, Resulting Numbers: [28, 4]
Generated Node #0,2,1: 24:[28, 4] Operation: 21-17=4
Moving to Node #0,2,1
Current State: 24:[28, 4], Operations: ['85-57=28', '21-17=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
69,
97,
27,
39
] | 39 | [
"97-69=28",
"28-27=1",
"39*1=39"
] | Current State: 39:[69, 97, 27, 39], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [27, 39, 28]
Generated Node #2: [27, 39, 28] from Operation: 97-69=28
Current State: 39:[27, 39, 28], Operations: ['97-69=28']
Exploring Operation: 28-27=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 28-27=1
Current State: 39:[39, 1], Operations: ['97-69=28', '28-27=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[69, 97, 27, 39], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [27, 39, 28]
Generated Node #0,0: 39:[27, 39, 28] Operation: 97-69=28
Exploring Operation: 97-27=70, Resulting Numbers: [69, 39, 70]
Generated Node #0,1: 39:[69, 39, 70] Operation: 97-27=70
Exploring Operation: 69-27=42, Resulting Numbers: [97, 39, 42]
Generated Node #0,2: 39:[97, 39, 42] Operation: 69-27=42
Exploring Operation: 97-39=58, Resulting Numbers: [69, 27, 58]
Generated Node #0,3: 39:[69, 27, 58] Operation: 97-39=58
Exploring Operation: 69-39=30, Resulting Numbers: [97, 27, 30]
Generated Node #0,4: 39:[97, 27, 30] Operation: 69-39=30
Moving to Node #0,0
Current State: 39:[27, 39, 28], Operations: ['97-69=28']
Exploring Operation: 39-27=12, Resulting Numbers: [28, 12]
Generated Node #0,0,0: 39:[28, 12] Operation: 39-27=12
Exploring Operation: 27+28=55, Resulting Numbers: [39, 55]
Generated Node #0,0,1: 39:[39, 55] Operation: 27+28=55
Exploring Operation: 27+39=66, Resulting Numbers: [28, 66]
Generated Node #0,0,2: 39:[28, 66] Operation: 27+39=66
Exploring Operation: 39-28=11, Resulting Numbers: [27, 11]
Generated Node #0,0,3: 39:[27, 11] Operation: 39-28=11
Exploring Operation: 28-27=1, Resulting Numbers: [39, 1]
Generated Node #0,0,4: 39:[39, 1] Operation: 28-27=1
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 39:[39, 1], Operations: ['97-69=28', '28-27=1']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[69, 97, 27, 39], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [27, 39, 28]
Generated Node #0,0: 39:[27, 39, 28] Operation: 97-69=28
Moving to Node #0,0
Current State: 39:[27, 39, 28], Operations: ['97-69=28']
Exploring Operation: 28-27=1, Resulting Numbers: [39, 1]
Generated Node #0,0,4: 39:[39, 1] Operation: 28-27=1
Moving to Node #0,0,4
Current State: 39:[39, 1], Operations: ['97-69=28', '28-27=1']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
26,
37,
31,
78
] | 71 | [
"78/26=3",
"37+31=68",
"3+68=71"
] | Current State: 71:[26, 37, 31, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [37, 31, 3]
Generated Node #2: [37, 31, 3] from Operation: 78/26=3
Current State: 71:[37, 31, 3], Operations: ['78/26=3']
Exploring Operation: 37+31=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 37+31=68
Current State: 71:[3, 68], Operations: ['78/26=3', '37+31=68']
Exploring Operation: 3+68=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[26, 37, 31, 78], Operations: []
Exploring Operation: 26+31=57, Resulting Numbers: [37, 78, 57]
Generated Node #0,0: 71:[37, 78, 57] Operation: 26+31=57
Exploring Operation: 37+31=68, Resulting Numbers: [26, 78, 68]
Generated Node #0,1: 71:[26, 78, 68] Operation: 37+31=68
Exploring Operation: 26+37=63, Resulting Numbers: [31, 78, 63]
Generated Node #0,2: 71:[31, 78, 63] Operation: 26+37=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[37, 78, 57], Operations: ['26+31=57']
Exploring Operation: 78-37=41, Resulting Numbers: [57, 41]
Generated Node #0,0,0: 71:[57, 41] Operation: 78-37=41
Exploring Operation: 37+78=115, Resulting Numbers: [57, 115]
Generated Node #0,0,1: 71:[57, 115] Operation: 37+78=115
Exploring Operation: 37+57=94, Resulting Numbers: [78, 94]
Generated Node #0,0,2: 71:[78, 94] Operation: 37+57=94
Moving to Node #0,0,2
Current State: 71:[78, 94], Operations: ['26+31=57', '37+57=94']
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Exploring Operation: 78+94=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 78*94=7332, Resulting Numbers: [7332]
7332,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[57, 41], Operations: ['26+31=57', '78-37=41']
Exploring Operation: 57*41=2337, Resulting Numbers: [2337]
2337,71 unequal: No Solution
Exploring Operation: 57+41=98, Resulting Numbers: [98]
98,71 unequal: No Solution
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[57, 115], Operations: ['26+31=57', '37+78=115']
Exploring Operation: 115-57=58, Resulting Numbers: [58]
58,71 unequal: No Solution
Exploring Operation: 57*115=6555, Resulting Numbers: [6555]
6555,71 unequal: No Solution
Exploring Operation: 57+115=172, Resulting Numbers: [172]
172,71 unequal: No Solution
No 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:[26, 78, 68], Operations: ['37+31=68']
Exploring Operation: 78-26=52, Resulting Numbers: [68, 52]
Generated Node #0,1,0: 71:[68, 52] Operation: 78-26=52
Exploring Operation: 26+78=104, Resulting Numbers: [68, 104]
Generated Node #0,1,1: 71:[68, 104] Operation: 26+78=104
Exploring Operation: 26+68=94, Resulting Numbers: [78, 94]
Generated Node #0,1,2: 71:[78, 94] Operation: 26+68=94
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[68, 52], Operations: ['37+31=68', '78-26=52']
Exploring Operation: 68*52=3536, Resulting Numbers: [3536]
3536,71 unequal: No Solution
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Exploring Operation: 68+52=120, Resulting Numbers: [120]
120,71 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:[78, 94], Operations: ['37+31=68', '26+68=94']
Exploring Operation: 78*94=7332, Resulting Numbers: [7332]
7332,71 unequal: No Solution
Exploring Operation: 78+94=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,71 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:[68, 104], Operations: ['37+31=68', '26+78=104']
Exploring Operation: 68*104=7072, Resulting Numbers: [7072]
7072,71 unequal: No Solution
Exploring Operation: 68+104=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 104-68=36, Resulting Numbers: [36]
36,71 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:[31, 78, 63], Operations: ['26+37=63']
Exploring Operation: 31+78=109, Resulting Numbers: [63, 109]
Generated Node #0,2,0: 71:[63, 109] Operation: 31+78=109
Exploring Operation: 78-31=47, Resulting Numbers: [63, 47]
Generated Node #0,2,1: 71:[63, 47] Operation: 78-31=47
Exploring Operation: 31+63=94, Resulting Numbers: [78, 94]
Generated Node #0,2,2: 71:[78, 94] Operation: 31+63=94
Moving to Node #0,2,2
Current State: 71:[78, 94], Operations: ['26+37=63', '31+63=94']
Exploring Operation: 78*94=7332, Resulting Numbers: [7332]
7332,71 unequal: No Solution
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Exploring Operation: 78+94=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[63, 47], Operations: ['26+37=63', '78-31=47']
Exploring Operation: 63*47=2961, Resulting Numbers: [2961]
2961,71 unequal: No Solution
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Exploring Operation: 63+47=110, Resulting Numbers: [110]
110,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[63, 109], Operations: ['26+37=63', '31+78=109']
Exploring Operation: 63*109=6867, Resulting Numbers: [6867]
6867,71 unequal: No Solution
Exploring Operation: 63+109=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 109-63=46, Resulting Numbers: [46]
46,71 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 |
[
98,
79,
87,
28
] | 78 | [
"98-79=19",
"87-28=59",
"19+59=78"
] | Current State: 78:[98, 79, 87, 28], Operations: []
Exploring Operation: 98-79=19, Resulting Numbers: [87, 28, 19]
Generated Node #2: [87, 28, 19] from Operation: 98-79=19
Current State: 78:[87, 28, 19], Operations: ['98-79=19']
Exploring Operation: 87-28=59, Resulting Numbers: [19, 59]
Generated Node #3: [19, 59] from Operation: 87-28=59
Current State: 78:[19, 59], Operations: ['98-79=19', '87-28=59']
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[98, 79, 87, 28], Operations: []
Exploring Operation: 98-87=11, Resulting Numbers: [79, 28, 11]
Generated Node #0,0: 78:[79, 28, 11] Operation: 98-87=11
Moving to Node #0,0
Current State: 78:[79, 28, 11], Operations: ['98-87=11']
Exploring Operation: 28+11=39, Resulting Numbers: [79, 39]
Generated Node #0,0,0: 78:[79, 39] Operation: 28+11=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[79, 39], Operations: ['98-87=11', '28+11=39']
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,78 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 |
[
70,
42,
39,
89
] | 62 | [
"70+42=112",
"89-39=50",
"112-50=62"
] | Current State: 62:[70, 42, 39, 89], Operations: []
Exploring Operation: 70+42=112, Resulting Numbers: [39, 89, 112]
Generated Node #2: [39, 89, 112] from Operation: 70+42=112
Current State: 62:[39, 89, 112], Operations: ['70+42=112']
Exploring Operation: 89-39=50, Resulting Numbers: [112, 50]
Generated Node #3: [112, 50] from Operation: 89-39=50
Current State: 62:[112, 50], Operations: ['70+42=112', '89-39=50']
Exploring Operation: 112-50=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[70, 42, 39, 89], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [42, 39, 19]
Generated Node #0,0: 62:[42, 39, 19] Operation: 89-70=19
Exploring Operation: 89-42=47, Resulting Numbers: [70, 39, 47]
Generated Node #0,1: 62:[70, 39, 47] Operation: 89-42=47
Moving to Node #0,0
Current State: 62:[42, 39, 19], Operations: ['89-70=19']
Exploring Operation: 42+19=61, Resulting Numbers: [39, 61]
Generated Node #0,0,0: 62:[39, 61] Operation: 42+19=61
Exploring Operation: 42-39=3, Resulting Numbers: [19, 3]
Generated Node #0,0,1: 62:[19, 3] Operation: 42-39=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[39, 61], Operations: ['89-70=19', '42+19=61']
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[19, 3], Operations: ['89-70=19', '42-39=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,62 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: 62:[70, 39, 47], Operations: ['89-42=47']
Exploring Operation: 70-39=31, Resulting Numbers: [47, 31]
Generated Node #0,1,0: 62:[47, 31] Operation: 70-39=31
Exploring Operation: 47-39=8, Resulting Numbers: [70, 8]
Generated Node #0,1,1: 62:[70, 8] Operation: 47-39=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[70, 8], Operations: ['89-42=47', '47-39=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[70, 42, 39, 89], Operations: []
Exploring Operation: 89-42=47, Resulting Numbers: [70, 39, 47]
Generated Node #0,1: 62:[70, 39, 47] Operation: 89-42=47
Moving to Node #0,1
Current State: 62:[70, 39, 47], Operations: ['89-42=47']
Exploring Operation: 47-39=8, Resulting Numbers: [70, 8]
Generated Node #0,1,1: 62:[70, 8] Operation: 47-39=8
Moving to Node #0,1,1
Current State: 62:[70, 8], Operations: ['89-42=47', '47-39=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
14,
5,
92,
83
] | 28 | [
"14+5=19",
"92-83=9",
"19+9=28"
] | Current State: 28:[14, 5, 92, 83], Operations: []
Exploring Operation: 14+5=19, Resulting Numbers: [92, 83, 19]
Generated Node #2: [92, 83, 19] from Operation: 14+5=19
Current State: 28:[92, 83, 19], Operations: ['14+5=19']
Exploring Operation: 92-83=9, Resulting Numbers: [19, 9]
Generated Node #3: [19, 9] from Operation: 92-83=9
Current State: 28:[19, 9], Operations: ['14+5=19', '92-83=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[14, 5, 92, 83], Operations: []
Exploring Operation: 92-14=78, Resulting Numbers: [5, 83, 78]
Generated Node #0,0: 28:[5, 83, 78] Operation: 92-14=78
Exploring Operation: 92-83=9, Resulting Numbers: [14, 5, 9]
Generated Node #0,1: 28:[14, 5, 9] Operation: 92-83=9
Moving to Node #0,1
Current State: 28:[14, 5, 9], Operations: ['92-83=9']
Exploring Operation: 9-5=4, Resulting Numbers: [14, 4]
Generated Node #0,1,0: 28:[14, 4] Operation: 9-5=4
Exploring Operation: 5+9=14, Resulting Numbers: [14, 14]
Generated Node #0,1,1: 28:[14, 14] Operation: 5+9=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[14, 4], Operations: ['92-83=9', '9-5=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[14, 14], Operations: ['92-83=9', '5+9=14']
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[14, 5, 92, 83], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [14, 5, 9]
Generated Node #0,1: 28:[14, 5, 9] Operation: 92-83=9
Moving to Node #0,1
Current State: 28:[14, 5, 9], Operations: ['92-83=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14, 14]
Generated Node #0,1,1: 28:[14, 14] Operation: 5+9=14
Moving to Node #0,1,1
Current State: 28:[14, 14], Operations: ['92-83=9', '5+9=14']
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
57,
41,
10,
13
] | 13 | [
"57-41=16",
"13-10=3",
"16-3=13"
] | Current State: 13:[57, 41, 10, 13], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [10, 13, 16]
Generated Node #2: [10, 13, 16] from Operation: 57-41=16
Current State: 13:[10, 13, 16], Operations: ['57-41=16']
Exploring Operation: 13-10=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 13-10=3
Current State: 13:[16, 3], Operations: ['57-41=16', '13-10=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[57, 41, 10, 13], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [10, 13, 16]
Generated Node #0,0: 13:[10, 13, 16] Operation: 57-41=16
Moving to Node #0,0
Current State: 13:[10, 13, 16], Operations: ['57-41=16']
Exploring Operation: 16-10=6, Resulting Numbers: [13, 6]
Generated Node #0,0,0: 13:[13, 6] Operation: 16-10=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[13, 6], Operations: ['57-41=16', '16-10=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,13 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 |
[
84,
3,
36,
35
] | 12 | [
"36*35=1260",
"1260/84=15",
"15-3=12"
] | Current State: 12:[84, 3, 36, 35], Operations: []
Exploring Operation: 36*35=1260, Resulting Numbers: [84, 3, 1260]
Generated Node #2: [84, 3, 1260] from Operation: 36*35=1260
Current State: 12:[84, 3, 1260], Operations: ['36*35=1260']
Exploring Operation: 1260/84=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 1260/84=15
Current State: 12:[3, 15], Operations: ['36*35=1260', '1260/84=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[84, 3, 36, 35], Operations: []
Exploring Operation: 84-35=49, Resulting Numbers: [3, 36, 49]
Generated Node #0,0: 12:[3, 36, 49] Operation: 84-35=49
Exploring Operation: 84-36=48, Resulting Numbers: [3, 35, 48]
Generated Node #0,1: 12:[3, 35, 48] Operation: 84-36=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[3, 35, 48], Operations: ['84-36=48']
Exploring Operation: 48/3=16, Resulting Numbers: [35, 16]
Generated Node #0,1,0: 12:[35, 16] Operation: 48/3=16
Exploring Operation: 48-35=13, Resulting Numbers: [3, 13]
Generated Node #0,1,1: 12:[3, 13] Operation: 48-35=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[3, 13], Operations: ['84-36=48', '48-35=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[35, 16], Operations: ['84-36=48', '48/3=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[3, 36, 49], Operations: ['84-35=49']
Exploring Operation: 36/3=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 12:[49, 12] Operation: 36/3=12
Exploring Operation: 49-36=13, Resulting Numbers: [3, 13]
Generated Node #0,0,1: 12:[3, 13] Operation: 49-36=13
Moving to Node #0,0,1
Current State: 12:[3, 13], Operations: ['84-35=49', '49-36=13']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,12 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[49, 12], Operations: ['84-35=49', '36/3=12']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,12 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,12 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 |
[
59,
39,
50,
88
] | 51 | [
"50-39=11",
"88/11=8",
"59-8=51"
] | Current State: 51:[59, 39, 50, 88], Operations: []
Exploring Operation: 50-39=11, Resulting Numbers: [59, 88, 11]
Generated Node #2: [59, 88, 11] from Operation: 50-39=11
Current State: 51:[59, 88, 11], Operations: ['50-39=11']
Exploring Operation: 88/11=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 88/11=8
Current State: 51:[59, 8], Operations: ['50-39=11', '88/11=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[59, 39, 50, 88], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [59, 39, 38]
Generated Node #0,0: 51:[59, 39, 38] Operation: 88-50=38
Exploring Operation: 88-59=29, Resulting Numbers: [39, 50, 29]
Generated Node #0,1: 51:[39, 50, 29] Operation: 88-59=29
Exploring Operation: 59-39=20, Resulting Numbers: [50, 88, 20]
Generated Node #0,2: 51:[50, 88, 20] Operation: 59-39=20
Exploring Operation: 88-39=49, Resulting Numbers: [59, 50, 49]
Generated Node #0,3: 51:[59, 50, 49] Operation: 88-39=49
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[59, 50, 49], Operations: ['88-39=49']
Exploring Operation: 50+49=99, Resulting Numbers: [59, 99]
Generated Node #0,3,0: 51:[59, 99] Operation: 50+49=99
Exploring Operation: 59-49=10, Resulting Numbers: [50, 10]
Generated Node #0,3,1: 51:[50, 10] Operation: 59-49=10
Exploring Operation: 50-49=1, Resulting Numbers: [59, 1]
Generated Node #0,3,2: 51:[59, 1] Operation: 50-49=1
Exploring Operation: 59-50=9, Resulting Numbers: [49, 9]
Generated Node #0,3,3: 51:[49, 9] Operation: 59-50=9
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 51:[50, 10], Operations: ['88-39=49', '59-49=10']
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,51 unequal: No Solution
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 50*10=500, Resulting Numbers: [500]
500,51 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 #0,3,3
Current State: 51:[49, 9], Operations: ['88-39=49', '59-50=9']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,51 unequal: No Solution
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,51 unequal: No Solution
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,51 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 #0,3,2
Current State: 51:[59, 1], Operations: ['88-39=49', '50-49=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,51 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 #0,3,0
Current State: 51:[59, 99], Operations: ['88-39=49', '50+49=99']
Exploring Operation: 99-59=40, Resulting Numbers: [40]
40,51 unequal: No Solution
Exploring Operation: 59*99=5841, Resulting Numbers: [5841]
5841,51 unequal: No Solution
Exploring Operation: 59+99=158, Resulting Numbers: [158]
158,51 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 #0,1
Current State: 51:[39, 50, 29], Operations: ['88-59=29']
Exploring Operation: 50-39=11, Resulting Numbers: [29, 11]
Generated Node #0,1,0: 51:[29, 11] Operation: 50-39=11
Exploring Operation: 39-29=10, Resulting Numbers: [50, 10]
Generated Node #0,1,1: 51:[50, 10] Operation: 39-29=10
Exploring Operation: 39+29=68, Resulting Numbers: [50, 68]
Generated Node #0,1,2: 51:[50, 68] Operation: 39+29=68
Exploring Operation: 50-29=21, Resulting Numbers: [39, 21]
Generated Node #0,1,3: 51:[39, 21] Operation: 50-29=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[50, 10], Operations: ['88-59=29', '39-29=10']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,51 unequal: No Solution
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 50*10=500, Resulting Numbers: [500]
500,51 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 #0,1,3
Current State: 51:[39, 21], Operations: ['88-59=29', '50-29=21']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,51 unequal: No Solution
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,51 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 #0,1,0
Current State: 51:[29, 11], Operations: ['88-59=29', '50-39=11']
Exploring Operation: 29*11=319, Resulting Numbers: [319]
319,51 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 29+11=40, Resulting Numbers: [40]
40,51 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 #0,1,2
Current State: 51:[50, 68], Operations: ['88-59=29', '39+29=68']
Exploring Operation: 50*68=3400, Resulting Numbers: [3400]
3400,51 unequal: No Solution
Exploring Operation: 50+68=118, Resulting Numbers: [118]
118,51 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,51 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:[59, 39, 38], Operations: ['88-50=38']
Exploring Operation: 39+38=77, Resulting Numbers: [59, 77]
Generated Node #0,0,0: 51:[59, 77] Operation: 39+38=77
Exploring Operation: 39-38=1, Resulting Numbers: [59, 1]
Generated Node #0,0,1: 51:[59, 1] Operation: 39-38=1
Exploring Operation: 59-38=21, Resulting Numbers: [39, 21]
Generated Node #0,0,2: 51:[39, 21] Operation: 59-38=21
Exploring Operation: 59-39=20, Resulting Numbers: [38, 20]
Generated Node #0,0,3: 51:[38, 20] Operation: 59-39=20
Moving to Node #0,0,1
Current State: 51:[59, 1], Operations: ['88-50=38', '39-38=1']
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[38, 20], Operations: ['88-50=38', '59-39=20']
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,51 unequal: No Solution
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[39, 21], Operations: ['88-50=38', '59-38=21']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,51 unequal: No Solution
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[59, 77], Operations: ['88-50=38', '39+38=77']
Exploring Operation: 59*77=4543, Resulting Numbers: [4543]
4543,51 unequal: No Solution
Exploring Operation: 59+77=136, Resulting Numbers: [136]
136,51 unequal: No Solution
Exploring Operation: 77-59=18, Resulting Numbers: [18]
18,51 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:[50, 88, 20], Operations: ['59-39=20']
Exploring Operation: 50-20=30, Resulting Numbers: [88, 30]
Generated Node #0,2,0: 51:[88, 30] Operation: 50-20=30
Exploring Operation: 88-50=38, Resulting Numbers: [20, 38]
Generated Node #0,2,1: 51:[20, 38] Operation: 88-50=38
Exploring Operation: 50+20=70, Resulting Numbers: [88, 70]
Generated Node #0,2,2: 51:[88, 70] Operation: 50+20=70
Exploring Operation: 88-20=68, Resulting Numbers: [50, 68]
Generated Node #0,2,3: 51:[50, 68] Operation: 88-20=68
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[20, 38], Operations: ['59-39=20', '88-50=38']
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,51 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,51 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 #0,2,3
Current State: 51:[50, 68], Operations: ['59-39=20', '88-20=68']
Exploring Operation: 50*68=3400, Resulting Numbers: [3400]
3400,51 unequal: No Solution
Exploring Operation: 50+68=118, Resulting Numbers: [118]
118,51 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,51 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:[88, 30], Operations: ['59-39=20', '50-20=30']
Exploring Operation: 88*30=2640, Resulting Numbers: [2640]
2640,51 unequal: No Solution
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 88+30=118, Resulting Numbers: [118]
118,51 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 #0,2,2
Current State: 51:[88, 70], Operations: ['59-39=20', '50+20=70']
Exploring Operation: 88*70=6160, Resulting Numbers: [6160]
6160,51 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 88+70=158, Resulting Numbers: [158]
158,51 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_4 | sum_heuristic |
[
78,
35,
27,
59
] | 41 | [
"78*27=2106",
"35*59=2065",
"2106-2065=41"
] | Current State: 41:[78, 35, 27, 59], Operations: []
Exploring Operation: 78*27=2106, Resulting Numbers: [35, 59, 2106]
Generated Node #2: [35, 59, 2106] from Operation: 78*27=2106
Current State: 41:[35, 59, 2106], Operations: ['78*27=2106']
Exploring Operation: 35*59=2065, Resulting Numbers: [2106, 2065]
Generated Node #3: [2106, 2065] from Operation: 35*59=2065
Current State: 41:[2106, 2065], Operations: ['78*27=2106', '35*59=2065']
Exploring Operation: 2106-2065=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[78, 35, 27, 59], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [27, 59, 43]
Generated Node #0,0: 41:[27, 59, 43] Operation: 78-35=43
Exploring Operation: 78-59=19, Resulting Numbers: [35, 27, 19]
Generated Node #0,1: 41:[35, 27, 19] Operation: 78-59=19
Exploring Operation: 78-27=51, Resulting Numbers: [35, 59, 51]
Generated Node #0,2: 41:[35, 59, 51] Operation: 78-27=51
Exploring Operation: 59-27=32, Resulting Numbers: [78, 35, 32]
Generated Node #0,3: 41:[78, 35, 32] Operation: 59-27=32
Moving to Node #0,0
Current State: 41:[27, 59, 43], Operations: ['78-35=43']
Exploring Operation: 59-27=32, Resulting Numbers: [43, 32]
Generated Node #0,0,0: 41:[43, 32] Operation: 59-27=32
Exploring Operation: 27+59=86, Resulting Numbers: [43, 86]
Generated Node #0,0,1: 41:[43, 86] Operation: 27+59=86
Exploring Operation: 43-27=16, Resulting Numbers: [59, 16]
Generated Node #0,0,2: 41:[59, 16] Operation: 43-27=16
Exploring Operation: 59-43=16, Resulting Numbers: [27, 16]
Generated Node #0,0,3: 41:[27, 16] Operation: 59-43=16
Moving to Node #0,2
Current State: 41:[35, 59, 51], Operations: ['78-27=51']
Exploring Operation: 51-35=16, Resulting Numbers: [59, 16]
Generated Node #0,2,0: 41:[59, 16] Operation: 51-35=16
Exploring Operation: 59-35=24, Resulting Numbers: [51, 24]
Generated Node #0,2,1: 41:[51, 24] Operation: 59-35=24
Exploring Operation: 59-51=8, Resulting Numbers: [35, 8]
Generated Node #0,2,2: 41:[35, 8] Operation: 59-51=8
Exploring Operation: 35+59=94, Resulting Numbers: [51, 94]
Generated Node #0,2,3: 41:[51, 94] Operation: 35+59=94
Moving to Node #0,1
Current State: 41:[35, 27, 19], Operations: ['78-59=19']
Exploring Operation: 35-19=16, Resulting Numbers: [27, 16]
Generated Node #0,1,0: 41:[27, 16] Operation: 35-19=16
Exploring Operation: 35+19=54, Resulting Numbers: [27, 54]
Generated Node #0,1,1: 41:[27, 54] Operation: 35+19=54
Exploring Operation: 27-19=8, Resulting Numbers: [35, 8]
Generated Node #0,1,2: 41:[35, 8] Operation: 27-19=8
Exploring Operation: 27+19=46, Resulting Numbers: [35, 46]
Generated Node #0,1,3: 41:[35, 46] Operation: 27+19=46
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 41:[35, 46], Operations: ['78-59=19', '27+19=46']
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,41 unequal: No Solution
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,41 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[27, 54], Operations: ['78-59=19', '35+19=54']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,41 unequal: No Solution
Exploring Operation: 27*54=1458, Resulting Numbers: [1458]
1458,41 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[27, 16], Operations: ['78-59=19', '35-19=16']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[35, 8], Operations: ['78-59=19', '27-19=8']
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,41 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,41 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: 41:[78, 35, 32], Operations: ['59-27=32']
Exploring Operation: 35+32=67, Resulting Numbers: [78, 67]
Generated Node #0,3,0: 41:[78, 67] Operation: 35+32=67
Exploring Operation: 78-35=43, Resulting Numbers: [32, 43]
Generated Node #0,3,1: 41:[32, 43] Operation: 78-35=43
Exploring Operation: 78-32=46, Resulting Numbers: [35, 46]
Generated Node #0,3,2: 41:[35, 46] Operation: 78-32=46
Exploring Operation: 78+32=110, Resulting Numbers: [35, 110]
Generated Node #0,3,3: 41:[35, 110] Operation: 78+32=110
Moving to Node #0,0,0
Current State: 41:[43, 32], Operations: ['78-35=43', '59-27=32']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 43+32=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Exploring Operation: 43*32=1376, Resulting Numbers: [1376]
1376,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[32, 43], Operations: ['59-27=32', '78-35=43']
Exploring Operation: 32*43=1376, Resulting Numbers: [1376]
1376,41 unequal: No Solution
Exploring Operation: 32+43=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[35, 46], Operations: ['59-27=32', '78-32=46']
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,41 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[51, 24], Operations: ['78-27=51', '59-35=24']
Exploring Operation: 51*24=1224, Resulting Numbers: [1224]
1224,41 unequal: No Solution
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[35, 8], Operations: ['78-27=51', '59-51=8']
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,41 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[27, 16], Operations: ['78-35=43', '59-43=16']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[59, 16], Operations: ['78-27=51', '51-35=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[59, 16], Operations: ['78-35=43', '43-27=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,41 unequal: No Solution
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,41 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[43, 86], Operations: ['78-35=43', '27+59=86']
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 43+86=129, Resulting Numbers: [129]
129,41 unequal: No Solution
Exploring Operation: 43*86=3698, Resulting Numbers: [3698]
3698,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[78, 67], Operations: ['59-27=32', '35+32=67']
Exploring Operation: 78+67=145, Resulting Numbers: [145]
145,41 unequal: No Solution
Exploring Operation: 78*67=5226, Resulting Numbers: [5226]
5226,41 unequal: No Solution
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[51, 94], Operations: ['78-27=51', '35+59=94']
Exploring Operation: 51+94=145, Resulting Numbers: [145]
145,41 unequal: No Solution
Exploring Operation: 51*94=4794, Resulting Numbers: [4794]
4794,41 unequal: No Solution
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[35, 110], Operations: ['59-27=32', '78+32=110']
Exploring Operation: 35+110=145, Resulting Numbers: [145]
145,41 unequal: No Solution
Exploring Operation: 35*110=3850, Resulting Numbers: [3850]
3850,41 unequal: No Solution
Exploring Operation: 110-35=75, Resulting Numbers: [75]
75,41 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
38,
4,
36,
36
] | 65 | [
"38+36=74",
"36/4=9",
"74-9=65"
] | Current State: 65:[38, 4, 36, 36], Operations: []
Exploring Operation: 38+36=74, Resulting Numbers: [4, 74]
Generated Node #2: [4, 74] from Operation: 38+36=74
Current State: 65:[4, 74], Operations: ['38+36=74']
Exploring Operation: 36/4=9, Resulting Numbers: [74, 9]
Generated Node #3: [74, 9] from Operation: 36/4=9
Current State: 65:[74, 9], Operations: ['38+36=74', '36/4=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[38, 4, 36, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [4, 36, 2]
Generated Node #0,0: 65:[4, 36, 2] Operation: 38-36=2
Exploring Operation: 38-36=2, Resulting Numbers: [4, 36, 2]
Generated Node #0,1: 65:[4, 36, 2] Operation: 38-36=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[4, 36, 2], Operations: ['38-36=2']
Exploring Operation: 36/4=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 65:[2, 9] Operation: 36/4=9
Exploring Operation: 36/2=18, Resulting Numbers: [4, 18]
Generated Node #0,0,1: 65:[4, 18] Operation: 36/2=18
Moving to Node #0,0,1
Current State: 65:[4, 18], Operations: ['38-36=2', '36/2=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,65 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[2, 9], Operations: ['38-36=2', '36/4=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[4, 36, 2], Operations: ['38-36=2']
Exploring Operation: 36/4=9, Resulting Numbers: [2, 9]
Generated Node #0,1,0: 65:[2, 9] Operation: 36/4=9
Exploring Operation: 36/2=18, Resulting Numbers: [4, 18]
Generated Node #0,1,1: 65:[4, 18] Operation: 36/2=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[4, 18], Operations: ['38-36=2', '36/2=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,65 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[2, 9], Operations: ['38-36=2', '36/4=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
82,
2,
6,
1
] | 95 | [
"82+1=83",
"2*6=12",
"83+12=95"
] | Current State: 95:[82, 2, 6, 1], Operations: []
Exploring Operation: 82+1=83, Resulting Numbers: [2, 6, 83]
Generated Node #2: [2, 6, 83] from Operation: 82+1=83
Current State: 95:[2, 6, 83], Operations: ['82+1=83']
Exploring Operation: 2*6=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 2*6=12
Current State: 95:[83, 12], Operations: ['82+1=83', '2*6=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[82, 2, 6, 1], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [2, 1, 88]
Generated Node #0,0: 95:[2, 1, 88] Operation: 82+6=88
Exploring Operation: 82+2=84, Resulting Numbers: [6, 1, 84]
Generated Node #0,1: 95:[6, 1, 84] Operation: 82+2=84
Moving to Node #0,0
Current State: 95:[2, 1, 88], Operations: ['82+6=88']
Exploring Operation: 2+88=90, Resulting Numbers: [1, 90]
Generated Node #0,0,0: 95:[1, 90] Operation: 2+88=90
Exploring Operation: 2+1=3, Resulting Numbers: [88, 3]
Generated Node #0,0,1: 95:[88, 3] Operation: 2+1=3
Moving to Node #0,1
Current State: 95:[6, 1, 84], Operations: ['82+2=84']
Exploring Operation: 6+84=90, Resulting Numbers: [1, 90]
Generated Node #0,1,0: 95:[1, 90] Operation: 6+84=90
Exploring Operation: 84/6=14, Resulting Numbers: [1, 14]
Generated Node #0,1,1: 95:[1, 14] Operation: 84/6=14
Moving to Node #0,0,0
Current State: 95:[1, 90], Operations: ['82+6=88', '2+88=90']
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[1, 90], Operations: ['82+2=84', '6+84=90']
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[88, 3], Operations: ['82+6=88', '2+1=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,95 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[1, 14], Operations: ['82+2=84', '84/6=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
7,
96,
45,
8
] | 19 | [
"96+45=141",
"141-8=133",
"133/7=19"
] | Current State: 19:[7, 96, 45, 8], Operations: []
Exploring Operation: 96+45=141, Resulting Numbers: [7, 8, 141]
Generated Node #2: [7, 8, 141] from Operation: 96+45=141
Current State: 19:[7, 8, 141], Operations: ['96+45=141']
Exploring Operation: 141-8=133, Resulting Numbers: [7, 133]
Generated Node #3: [7, 133] from Operation: 141-8=133
Current State: 19:[7, 133], Operations: ['96+45=141', '141-8=133']
Exploring Operation: 133/7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[7, 96, 45, 8], Operations: []
Exploring Operation: 96-45=51, Resulting Numbers: [7, 8, 51]
Generated Node #0,0: 19:[7, 8, 51] Operation: 96-45=51
Exploring Operation: 96/8=12, Resulting Numbers: [7, 45, 12]
Generated Node #0,1: 19:[7, 45, 12] Operation: 96/8=12
Exploring Operation: 96-7=89, Resulting Numbers: [45, 8, 89]
Generated Node #0,2: 19:[45, 8, 89] Operation: 96-7=89
Moving to Node #0,1
Current State: 19:[7, 45, 12], Operations: ['96/8=12']
Exploring Operation: 45-7=38, Resulting Numbers: [12, 38]
Generated Node #0,1,0: 19:[12, 38] Operation: 45-7=38
Exploring Operation: 7+12=19, Resulting Numbers: [45, 19]
Generated Node #0,1,1: 19:[45, 19] Operation: 7+12=19
Exploring Operation: 45-12=33, Resulting Numbers: [7, 33]
Generated Node #0,1,2: 19:[7, 33] Operation: 45-12=33
Moving to Node #0,0
Current State: 19:[7, 8, 51], Operations: ['96-45=51']
Exploring Operation: 51-8=43, Resulting Numbers: [7, 43]
Generated Node #0,0,0: 19:[7, 43] Operation: 51-8=43
Exploring Operation: 7+8=15, Resulting Numbers: [51, 15]
Generated Node #0,0,1: 19:[51, 15] Operation: 7+8=15
Exploring Operation: 51-7=44, Resulting Numbers: [8, 44]
Generated Node #0,0,2: 19:[8, 44] Operation: 51-7=44
Moving to Node #0,2
Current State: 19:[45, 8, 89], Operations: ['96-7=89']
Exploring Operation: 89-8=81, Resulting Numbers: [45, 81]
Generated Node #0,2,0: 19:[45, 81] Operation: 89-8=81
Exploring Operation: 45-8=37, Resulting Numbers: [89, 37]
Generated Node #0,2,1: 19:[89, 37] Operation: 45-8=37
Exploring Operation: 89-45=44, Resulting Numbers: [8, 44]
Generated Node #0,2,2: 19:[8, 44] Operation: 89-45=44
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[8, 44], Operations: ['96-7=89', '89-45=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,19 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[45, 81], Operations: ['96-7=89', '89-8=81']
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 45+81=126, Resulting Numbers: [126]
126,19 unequal: No Solution
Exploring Operation: 45*81=3645, Resulting Numbers: [3645]
3645,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[89, 37], Operations: ['96-7=89', '45-8=37']
Exploring Operation: 89*37=3293, Resulting Numbers: [3293]
3293,19 unequal: No Solution
Exploring Operation: 89+37=126, Resulting Numbers: [126]
126,19 unequal: No Solution
Exploring Operation: 89-37=52, Resulting Numbers: [52]
52,19 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: 19:[12, 38], Operations: ['96/8=12', '45-7=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[7, 33], Operations: ['96/8=12', '45-12=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,19 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[45, 19], Operations: ['96/8=12', '7+12=19']
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,19 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[8, 44], Operations: ['96-45=51', '51-7=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,19 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[7, 43], Operations: ['96-45=51', '51-8=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,19 unequal: No Solution
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,19 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[51, 15], Operations: ['96-45=51', '7+8=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,19 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,19 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
95,
3,
51,
47
] | 23 | [
"95-3=92",
"51-47=4",
"92/4=23"
] | Current State: 23:[95, 3, 51, 47], Operations: []
Exploring Operation: 95-3=92, Resulting Numbers: [51, 47, 92]
Generated Node #2: [51, 47, 92] from Operation: 95-3=92
Current State: 23:[51, 47, 92], Operations: ['95-3=92']
Exploring Operation: 51-47=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 51-47=4
Current State: 23:[92, 4], Operations: ['95-3=92', '51-47=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[95, 3, 51, 47], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [95, 47, 17]
Generated Node #0,0: 23:[95, 47, 17] Operation: 51/3=17
Exploring Operation: 51-47=4, Resulting Numbers: [95, 3, 4]
Generated Node #0,1: 23:[95, 3, 4] Operation: 51-47=4
Exploring Operation: 95-51=44, Resulting Numbers: [3, 47, 44]
Generated Node #0,2: 23:[3, 47, 44] Operation: 95-51=44
Exploring Operation: 95-47=48, Resulting Numbers: [3, 51, 48]
Generated Node #0,3: 23:[3, 51, 48] Operation: 95-47=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[3, 47, 44], Operations: ['95-51=44']
Exploring Operation: 47-3=44, Resulting Numbers: [44, 44]
Generated Node #0,2,0: 23:[44, 44] Operation: 47-3=44
Exploring Operation: 44-3=41, Resulting Numbers: [47, 41]
Generated Node #0,2,1: 23:[47, 41] Operation: 44-3=41
Exploring Operation: 47-44=3, Resulting Numbers: [3, 3]
Generated Node #0,2,2: 23:[3, 3] Operation: 47-44=3
Exploring Operation: 3+47=50, Resulting Numbers: [44, 50]
Generated Node #0,2,3: 23:[44, 50] Operation: 3+47=50
Moving to Node #0,2,2
Current State: 23:[3, 3], Operations: ['95-51=44', '47-44=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,23 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[47, 41], Operations: ['95-51=44', '44-3=41']
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,23 unequal: No Solution
Exploring Operation: 47*41=1927, Resulting Numbers: [1927]
1927,23 unequal: No Solution
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[44, 44], Operations: ['95-51=44', '47-3=44']
Exploring Operation: 44-44=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 44+44=88, Resulting Numbers: [88]
88,23 unequal: No Solution
Exploring Operation: 44/44=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 44*44=1936, Resulting Numbers: [1936]
1936,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[44, 50], Operations: ['95-51=44', '3+47=50']
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,23 unequal: No Solution
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,23 unequal: No Solution
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,23 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
Current State: 23:[3, 51, 48], Operations: ['95-47=48']
Exploring Operation: 48/3=16, Resulting Numbers: [51, 16]
Generated Node #0,3,0: 23:[51, 16] Operation: 48/3=16
Exploring Operation: 51/3=17, Resulting Numbers: [48, 17]
Generated Node #0,3,1: 23:[48, 17] Operation: 51/3=17
Exploring Operation: 51-3=48, Resulting Numbers: [48, 48]
Generated Node #0,3,2: 23:[48, 48] Operation: 51-3=48
Exploring Operation: 51-48=3, Resulting Numbers: [3, 3]
Generated Node #0,3,3: 23:[3, 3] Operation: 51-48=3
Moving to Node #0,3,1
Current State: 23:[48, 17], Operations: ['95-47=48', '51/3=17']
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,23 unequal: No Solution
Exploring Operation: 48*17=816, Resulting Numbers: [816]
816,23 unequal: No Solution
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[51, 16], Operations: ['95-47=48', '48/3=16']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,23 unequal: No Solution
Exploring Operation: 51*16=816, Resulting Numbers: [816]
816,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[3, 3], Operations: ['95-47=48', '51-48=3']
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,23 unequal: No Solution
Moving to Node #0,3,2
Current State: 23:[48, 48], Operations: ['95-47=48', '51-3=48']
Exploring Operation: 48/48=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 48*48=2304, Resulting Numbers: [2304]
2304,23 unequal: No Solution
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[95, 47, 17], Operations: ['51/3=17']
Exploring Operation: 47-17=30, Resulting Numbers: [95, 30]
Generated Node #0,0,0: 23:[95, 30] Operation: 47-17=30
Exploring Operation: 95-47=48, Resulting Numbers: [17, 48]
Generated Node #0,0,1: 23:[17, 48] Operation: 95-47=48
Exploring Operation: 95-17=78, Resulting Numbers: [47, 78]
Generated Node #0,0,2: 23:[47, 78] Operation: 95-17=78
Exploring Operation: 95+17=112, Resulting Numbers: [47, 112]
Generated Node #0,0,3: 23:[47, 112] Operation: 95+17=112
Moving to Node #0,0,1
Current State: 23:[17, 48], Operations: ['51/3=17', '95-47=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,23 unequal: No Solution
Exploring Operation: 17*48=816, Resulting Numbers: [816]
816,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[47, 78], Operations: ['51/3=17', '95-17=78']
Exploring Operation: 47*78=3666, Resulting Numbers: [3666]
3666,23 unequal: No Solution
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 47+78=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[95, 30], Operations: ['51/3=17', '47-17=30']
Exploring Operation: 95*30=2850, Resulting Numbers: [2850]
2850,23 unequal: No Solution
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,23 unequal: No Solution
Exploring Operation: 95+30=125, Resulting Numbers: [125]
125,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[47, 112], Operations: ['51/3=17', '95+17=112']
Exploring Operation: 47*112=5264, Resulting Numbers: [5264]
5264,23 unequal: No Solution
Exploring Operation: 112-47=65, Resulting Numbers: [65]
65,23 unequal: No Solution
Exploring Operation: 47+112=159, Resulting Numbers: [159]
159,23 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
Current State: 23:[95, 3, 4], Operations: ['51-47=4']
Exploring Operation: 95-3=92, Resulting Numbers: [4, 92]
Generated Node #0,1,0: 23:[4, 92] Operation: 95-3=92
Exploring Operation: 95-4=91, Resulting Numbers: [3, 91]
Generated Node #0,1,1: 23:[3, 91] Operation: 95-4=91
Exploring Operation: 3*4=12, Resulting Numbers: [95, 12]
Generated Node #0,1,2: 23:[95, 12] Operation: 3*4=12
Exploring Operation: 3+4=7, Resulting Numbers: [95, 7]
Generated Node #0,1,3: 23:[95, 7] Operation: 3+4=7
Moving to Node #0,1,2
Current State: 23:[95, 12], Operations: ['51-47=4', '3*4=12']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 95+12=107, Resulting Numbers: [107]
107,23 unequal: No Solution
Exploring Operation: 95*12=1140, Resulting Numbers: [1140]
1140,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[3, 91], Operations: ['51-47=4', '95-4=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,23 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,23 unequal: No Solution
Exploring Operation: 3*91=273, Resulting Numbers: [273]
273,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[4, 92], Operations: ['51-47=4', '95-3=92']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[95, 3, 51, 47], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [95, 3, 4]
Generated Node #0,1: 23:[95, 3, 4] Operation: 51-47=4
Moving to Node #0,1
Current State: 23:[95, 3, 4], Operations: ['51-47=4']
Exploring Operation: 95-3=92, Resulting Numbers: [4, 92]
Generated Node #0,1,0: 23:[4, 92] Operation: 95-3=92
Moving to Node #0,1,0
Current State: 23:[4, 92], Operations: ['51-47=4', '95-3=92']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.938368 | hs_4 | sum_heuristic |
[
56,
33,
24,
22
] | 69 | [
"56-33=23",
"24+22=46",
"23+46=69"
] | Current State: 69:[56, 33, 24, 22], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [24, 22, 23]
Generated Node #2: [24, 22, 23] from Operation: 56-33=23
Current State: 69:[24, 22, 23], Operations: ['56-33=23']
Exploring Operation: 24+22=46, Resulting Numbers: [23, 46]
Generated Node #3: [23, 46] from Operation: 24+22=46
Current State: 69:[23, 46], Operations: ['56-33=23', '24+22=46']
Exploring Operation: 23+46=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[56, 33, 24, 22], Operations: []
Exploring Operation: 56-33=23, Resulting Numbers: [24, 22, 23]
Generated Node #0,0: 69:[24, 22, 23] Operation: 56-33=23
Moving to Node #0,0
Current State: 69:[24, 22, 23], Operations: ['56-33=23']
Exploring Operation: 24-22=2, Resulting Numbers: [23, 2]
Generated Node #0,0,0: 69:[23, 2] Operation: 24-22=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[23, 2], Operations: ['56-33=23', '24-22=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,69 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 |
[
44,
42,
91,
22
] | 51 | [
"44/22=2",
"91-42=49",
"2+49=51"
] | Current State: 51:[44, 42, 91, 22], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [42, 91, 2]
Generated Node #2: [42, 91, 2] from Operation: 44/22=2
Current State: 51:[42, 91, 2], Operations: ['44/22=2']
Exploring Operation: 91-42=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 91-42=49
Current State: 51:[2, 49], Operations: ['44/22=2', '91-42=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[44, 42, 91, 22], Operations: []
Exploring Operation: 91-42=49, Resulting Numbers: [44, 22, 49]
Generated Node #0,0: 51:[44, 22, 49] Operation: 91-42=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[44, 22, 49], Operations: ['91-42=49']
Exploring Operation: 44/22=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 51:[49, 2] Operation: 44/22=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[49, 2], Operations: ['91-42=49', '44/22=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[44, 42, 91, 22], Operations: []
Exploring Operation: 91-42=49, Resulting Numbers: [44, 22, 49]
Generated Node #0,0: 51:[44, 22, 49] Operation: 91-42=49
Moving to Node #0,0
Current State: 51:[44, 22, 49], Operations: ['91-42=49']
Exploring Operation: 44/22=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 51:[49, 2] Operation: 44/22=2
Moving to Node #0,0,0
Current State: 51:[49, 2], Operations: ['91-42=49', '44/22=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
16,
45,
45,
29
] | 14 | [
"29-16=13",
"45/45=1",
"13+1=14"
] | Current State: 14:[16, 45, 45, 29], Operations: []
Exploring Operation: 29-16=13, Resulting Numbers: [45, 45, 13]
Generated Node #2: [45, 45, 13] from Operation: 29-16=13
Current State: 14:[45, 45, 13], Operations: ['29-16=13']
Exploring Operation: 45/45=1, Resulting Numbers: [13, 1]
Generated Node #3: [13, 1] from Operation: 45/45=1
Current State: 14:[13, 1], Operations: ['29-16=13', '45/45=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[16, 45, 45, 29], Operations: []
Exploring Operation: 45-45=0, Resulting Numbers: [16, 29, 0]
Generated Node #0,0: 14:[16, 29, 0] Operation: 45-45=0
Exploring Operation: 45-29=16, Resulting Numbers: [16, 45, 16]
Generated Node #0,1: 14:[16, 45, 16] Operation: 45-29=16
Exploring Operation: 45/45=1, Resulting Numbers: [16, 29, 1]
Generated Node #0,2: 14:[16, 29, 1] Operation: 45/45=1
Moving to Node #0,2
Current State: 14:[16, 29, 1], Operations: ['45/45=1']
Exploring Operation: 16-1=15, Resulting Numbers: [29, 15]
Generated Node #0,2,0: 14:[29, 15] Operation: 16-1=15
Exploring Operation: 29-1=28, Resulting Numbers: [16, 28]
Generated Node #0,2,1: 14:[16, 28] Operation: 29-1=28
Exploring Operation: 29-16=13, Resulting Numbers: [1, 13]
Generated Node #0,2,2: 14:[1, 13] Operation: 29-16=13
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[1, 13], Operations: ['45/45=1', '29-16=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[16, 45, 45, 29], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [16, 29, 1]
Generated Node #0,2: 14:[16, 29, 1] Operation: 45/45=1
Moving to Node #0,2
Current State: 14:[16, 29, 1], Operations: ['45/45=1']
Exploring Operation: 29-16=13, Resulting Numbers: [1, 13]
Generated Node #0,2,2: 14:[1, 13] Operation: 29-16=13
Moving to Node #0,2,2
Current State: 14:[1, 13], Operations: ['45/45=1', '29-16=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
4,
72,
17,
29
] | 28 | [
"72/4=18",
"17+29=46",
"46-18=28"
] | Current State: 28:[4, 72, 17, 29], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [17, 29, 18]
Generated Node #2: [17, 29, 18] from Operation: 72/4=18
Current State: 28:[17, 29, 18], Operations: ['72/4=18']
Exploring Operation: 17+29=46, Resulting Numbers: [18, 46]
Generated Node #3: [18, 46] from Operation: 17+29=46
Current State: 28:[18, 46], Operations: ['72/4=18', '17+29=46']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[4, 72, 17, 29], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [17, 29, 18]
Generated Node #0,0: 28:[17, 29, 18] Operation: 72/4=18
Moving to Node #0,0
Current State: 28:[17, 29, 18], Operations: ['72/4=18']
Exploring Operation: 18-17=1, Resulting Numbers: [29, 1]
Generated Node #0,0,0: 28:[29, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 28:[29, 1], Operations: ['72/4=18', '18-17=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[4, 72, 17, 29], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [17, 29, 18]
Generated Node #0,0: 28:[17, 29, 18] Operation: 72/4=18
Moving to Node #0,0
Current State: 28:[17, 29, 18], Operations: ['72/4=18']
Exploring Operation: 18-17=1, Resulting Numbers: [29, 1]
Generated Node #0,0,0: 28:[29, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 28:[29, 1], Operations: ['72/4=18', '18-17=1']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
11,
59,
32,
22
] | 80 | [
"11+59=70",
"32-22=10",
"70+10=80"
] | Current State: 80:[11, 59, 32, 22], Operations: []
Exploring Operation: 11+59=70, Resulting Numbers: [32, 22, 70]
Generated Node #2: [32, 22, 70] from Operation: 11+59=70
Current State: 80:[32, 22, 70], Operations: ['11+59=70']
Exploring Operation: 32-22=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 32-22=10
Current State: 80:[70, 10], Operations: ['11+59=70', '32-22=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[11, 59, 32, 22], Operations: []
Exploring Operation: 59-32=27, Resulting Numbers: [11, 22, 27]
Generated Node #0,0: 80:[11, 22, 27] Operation: 59-32=27
Exploring Operation: 59+32=91, Resulting Numbers: [11, 22, 91]
Generated Node #0,1: 80:[11, 22, 91] Operation: 59+32=91
Exploring Operation: 59-22=37, Resulting Numbers: [11, 32, 37]
Generated Node #0,2: 80:[11, 32, 37] Operation: 59-22=37
Exploring Operation: 59+22=81, Resulting Numbers: [11, 32, 81]
Generated Node #0,3: 80:[11, 32, 81] Operation: 59+22=81
Moving to Node #0,0
Current State: 80:[11, 22, 27], Operations: ['59-32=27']
Exploring Operation: 27-11=16, Resulting Numbers: [22, 16]
Generated Node #0,0,0: 80:[22, 16] Operation: 27-11=16
Exploring Operation: 27-22=5, Resulting Numbers: [11, 5]
Generated Node #0,0,1: 80:[11, 5] Operation: 27-22=5
Exploring Operation: 11+27=38, Resulting Numbers: [22, 38]
Generated Node #0,0,2: 80:[22, 38] Operation: 11+27=38
Exploring Operation: 22/11=2, Resulting Numbers: [27, 2]
Generated Node #0,0,3: 80:[27, 2] Operation: 22/11=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[11, 5], Operations: ['59-32=27', '27-22=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,80 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 #0,0,0
Current State: 80:[22, 16], Operations: ['59-32=27', '27-11=16']
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,80 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,80 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,80 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 #0,0,2
Current State: 80:[22, 38], Operations: ['59-32=27', '11+27=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,80 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[27, 2], Operations: ['59-32=27', '22/11=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,80 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: 80:[11, 32, 81], Operations: ['59+22=81']
Exploring Operation: 81-32=49, Resulting Numbers: [11, 49]
Generated Node #0,3,0: 80:[11, 49] Operation: 81-32=49
Exploring Operation: 81-11=70, Resulting Numbers: [32, 70]
Generated Node #0,3,1: 80:[32, 70] Operation: 81-11=70
Exploring Operation: 32-11=21, Resulting Numbers: [81, 21]
Generated Node #0,3,2: 80:[81, 21] Operation: 32-11=21
Exploring Operation: 11+32=43, Resulting Numbers: [81, 43]
Generated Node #0,3,3: 80:[81, 43] Operation: 11+32=43
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 80:[81, 21], Operations: ['59+22=81', '32-11=21']
Exploring Operation: 81+21=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 81*21=1701, Resulting Numbers: [1701]
1701,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 80:[81, 43], Operations: ['59+22=81', '11+32=43']
Exploring Operation: 81*43=3483, Resulting Numbers: [3483]
3483,80 unequal: No Solution
Exploring Operation: 81+43=124, Resulting Numbers: [124]
124,80 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 80:[11, 49], Operations: ['59+22=81', '81-32=49']
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,80 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 80:[32, 70], Operations: ['59+22=81', '81-11=70']
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,80 unequal: No Solution
Exploring Operation: 32+70=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 32*70=2240, Resulting Numbers: [2240]
2240,80 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: 80:[11, 32, 37], Operations: ['59-22=37']
Exploring Operation: 37-32=5, Resulting Numbers: [11, 5]
Generated Node #0,2,0: 80:[11, 5] Operation: 37-32=5
Exploring Operation: 11+32=43, Resulting Numbers: [37, 43]
Generated Node #0,2,1: 80:[37, 43] Operation: 11+32=43
Exploring Operation: 32-11=21, Resulting Numbers: [37, 21]
Generated Node #0,2,2: 80:[37, 21] Operation: 32-11=21
Exploring Operation: 32+37=69, Resulting Numbers: [11, 69]
Generated Node #0,2,3: 80:[11, 69] Operation: 32+37=69
Moving to Node #0,1
Current State: 80:[11, 22, 91], Operations: ['59+32=91']
Exploring Operation: 91-22=69, Resulting Numbers: [11, 69]
Generated Node #0,1,0: 80:[11, 69] Operation: 91-22=69
Exploring Operation: 91-11=80, Resulting Numbers: [22, 80]
Generated Node #0,1,1: 80:[22, 80] Operation: 91-11=80
Exploring Operation: 22-11=11, Resulting Numbers: [91, 11]
Generated Node #0,1,2: 80:[91, 11] Operation: 22-11=11
Exploring Operation: 22/11=2, Resulting Numbers: [91, 2]
Generated Node #0,1,3: 80:[91, 2] Operation: 22/11=2
Moving to Node #0,2,0
Current State: 80:[11, 5], Operations: ['59-22=37', '37-32=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[22, 80], Operations: ['59+32=91', '91-11=80']
Exploring Operation: 22*80=1760, Resulting Numbers: [1760]
1760,80 unequal: No Solution
Exploring Operation: 22+80=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[37, 21], Operations: ['59-22=37', '32-11=21']
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,80 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,80 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[37, 43], Operations: ['59-22=37', '11+32=43']
Exploring Operation: 37*43=1591, Resulting Numbers: [1591]
1591,80 unequal: No Solution
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[11, 59, 32, 22], Operations: []
Exploring Operation: 59-22=37, Resulting Numbers: [11, 32, 37]
Generated Node #0,2: 80:[11, 32, 37] Operation: 59-22=37
Moving to Node #0,2
Current State: 80:[11, 32, 37], Operations: ['59-22=37']
Exploring Operation: 11+32=43, Resulting Numbers: [37, 43]
Generated Node #0,2,1: 80:[37, 43] Operation: 11+32=43
Moving to Node #0,2,1
Current State: 80:[37, 43], Operations: ['59-22=37', '11+32=43']
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.948785 | hs_4 | mult_heuristic |
[
29,
12,
80,
90
] | 27 | [
"29-12=17",
"90-80=10",
"17+10=27"
] | Current State: 27:[29, 12, 80, 90], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [80, 90, 17]
Generated Node #2: [80, 90, 17] from Operation: 29-12=17
Current State: 27:[80, 90, 17], Operations: ['29-12=17']
Exploring Operation: 90-80=10, Resulting Numbers: [17, 10]
Generated Node #3: [17, 10] from Operation: 90-80=10
Current State: 27:[17, 10], Operations: ['29-12=17', '90-80=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[29, 12, 80, 90], Operations: []
Exploring Operation: 80-29=51, Resulting Numbers: [12, 90, 51]
Generated Node #0,0: 27:[12, 90, 51] Operation: 80-29=51
Exploring Operation: 80-12=68, Resulting Numbers: [29, 90, 68]
Generated Node #0,1: 27:[29, 90, 68] Operation: 80-12=68
Exploring Operation: 90-80=10, Resulting Numbers: [29, 12, 10]
Generated Node #0,2: 27:[29, 12, 10] Operation: 90-80=10
Exploring Operation: 90-12=78, Resulting Numbers: [29, 80, 78]
Generated Node #0,3: 27:[29, 80, 78] Operation: 90-12=78
Exploring Operation: 90-29=61, Resulting Numbers: [12, 80, 61]
Generated Node #0,4: 27:[12, 80, 61] Operation: 90-29=61
Moving to Node #0,2
Current State: 27:[29, 12, 10], Operations: ['90-80=10']
Exploring Operation: 29-10=19, Resulting Numbers: [12, 19]
Generated Node #0,2,0: 27:[12, 19] Operation: 29-10=19
Exploring Operation: 29-12=17, Resulting Numbers: [10, 17]
Generated Node #0,2,1: 27:[10, 17] Operation: 29-12=17
Exploring Operation: 29+12=41, Resulting Numbers: [10, 41]
Generated Node #0,2,2: 27:[10, 41] Operation: 29+12=41
Exploring Operation: 12+10=22, Resulting Numbers: [29, 22]
Generated Node #0,2,3: 27:[29, 22] Operation: 12+10=22
Exploring Operation: 12-10=2, Resulting Numbers: [29, 2]
Generated Node #0,2,4: 27:[29, 2] Operation: 12-10=2
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 27:[29, 2], Operations: ['90-80=10', '12-10=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[29, 12, 80, 90], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [29, 12, 10]
Generated Node #0,2: 27:[29, 12, 10] Operation: 90-80=10
Moving to Node #0,2
Current State: 27:[29, 12, 10], Operations: ['90-80=10']
Exploring Operation: 12-10=2, Resulting Numbers: [29, 2]
Generated Node #0,2,4: 27:[29, 2] Operation: 12-10=2
Moving to Node #0,2,4
Current State: 27:[29, 2], Operations: ['90-80=10', '12-10=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
49,
5,
64,
88
] | 85 | [
"64-49=15",
"15/5=3",
"88-3=85"
] | Current State: 85:[49, 5, 64, 88], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [5, 88, 15]
Generated Node #2: [5, 88, 15] from Operation: 64-49=15
Current State: 85:[5, 88, 15], Operations: ['64-49=15']
Exploring Operation: 15/5=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 15/5=3
Current State: 85:[88, 3], Operations: ['64-49=15', '15/5=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[49, 5, 64, 88], Operations: []
Exploring Operation: 88-64=24, Resulting Numbers: [49, 5, 24]
Generated Node #0,0: 85:[49, 5, 24] Operation: 88-64=24
Exploring Operation: 64-49=15, Resulting Numbers: [5, 88, 15]
Generated Node #0,1: 85:[5, 88, 15] Operation: 64-49=15
Exploring Operation: 88-49=39, Resulting Numbers: [5, 64, 39]
Generated Node #0,2: 85:[5, 64, 39] Operation: 88-49=39
Exploring Operation: 49+64=113, Resulting Numbers: [5, 88, 113]
Generated Node #0,3: 85:[5, 88, 113] Operation: 49+64=113
Moving to Node #0,1
Current State: 85:[5, 88, 15], Operations: ['64-49=15']
Exploring Operation: 5+15=20, Resulting Numbers: [88, 20]
Generated Node #0,1,0: 85:[88, 20] Operation: 5+15=20
Exploring Operation: 88-5=83, Resulting Numbers: [15, 83]
Generated Node #0,1,1: 85:[15, 83] Operation: 88-5=83
Exploring Operation: 15/5=3, Resulting Numbers: [88, 3]
Generated Node #0,1,2: 85:[88, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [88, 10]
Generated Node #0,1,3: 85:[88, 10] Operation: 15-5=10
Moving to Node #0,3
Current State: 85:[5, 88, 113], Operations: ['49+64=113']
Exploring Operation: 113-5=108, Resulting Numbers: [88, 108]
Generated Node #0,3,0: 85:[88, 108] Operation: 113-5=108
Exploring Operation: 5+88=93, Resulting Numbers: [113, 93]
Generated Node #0,3,1: 85:[113, 93] Operation: 5+88=93
Exploring Operation: 88-5=83, Resulting Numbers: [113, 83]
Generated Node #0,3,2: 85:[113, 83] Operation: 88-5=83
Exploring Operation: 113-88=25, Resulting Numbers: [5, 25]
Generated Node #0,3,3: 85:[5, 25] Operation: 113-88=25
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 85:[5, 25], Operations: ['49+64=113', '113-88=25']
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,85 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,85 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 #0,3,0
Current State: 85:[88, 108], Operations: ['49+64=113', '113-5=108']
Exploring Operation: 108-88=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 88+108=196, Resulting Numbers: [196]
196,85 unequal: No Solution
Exploring Operation: 88*108=9504, Resulting Numbers: [9504]
9504,85 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 #0,3,2
Current State: 85:[113, 83], Operations: ['49+64=113', '88-5=83']
Exploring Operation: 113*83=9379, Resulting Numbers: [9379]
9379,85 unequal: No Solution
Exploring Operation: 113+83=196, Resulting Numbers: [196]
196,85 unequal: No Solution
Exploring Operation: 113-83=30, Resulting Numbers: [30]
30,85 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 #0,3,1
Current State: 85:[113, 93], Operations: ['49+64=113', '5+88=93']
Exploring Operation: 113-93=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 113+93=206, Resulting Numbers: [206]
206,85 unequal: No Solution
Exploring Operation: 113*93=10509, Resulting Numbers: [10509]
10509,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 85:[49, 5, 24], Operations: ['88-64=24']
Exploring Operation: 24-5=19, Resulting Numbers: [49, 19]
Generated Node #0,0,0: 85:[49, 19] Operation: 24-5=19
Exploring Operation: 49+24=73, Resulting Numbers: [5, 73]
Generated Node #0,0,1: 85:[5, 73] Operation: 49+24=73
Exploring Operation: 49-5=44, Resulting Numbers: [24, 44]
Generated Node #0,0,2: 85:[24, 44] Operation: 49-5=44
Exploring Operation: 49-24=25, Resulting Numbers: [5, 25]
Generated Node #0,0,3: 85:[5, 25] Operation: 49-24=25
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 85:[5, 25], Operations: ['88-64=24', '49-24=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,85 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,85 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 #0,0,1
Current State: 85:[5, 73], Operations: ['88-64=24', '49+24=73']
Exploring Operation: 5*73=365, Resulting Numbers: [365]
365,85 unequal: No Solution
Exploring Operation: 5+73=78, Resulting Numbers: [78]
78,85 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[49, 19], Operations: ['88-64=24', '24-5=19']
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 49+19=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 49*19=931, Resulting Numbers: [931]
931,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 85:[24, 44], Operations: ['88-64=24', '49-5=44']
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,85 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,85 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: 85:[5, 64, 39], Operations: ['88-49=39']
Exploring Operation: 5+64=69, Resulting Numbers: [39, 69]
Generated Node #0,2,0: 85:[39, 69] Operation: 5+64=69
Exploring Operation: 39-5=34, Resulting Numbers: [64, 34]
Generated Node #0,2,1: 85:[64, 34] Operation: 39-5=34
Exploring Operation: 64-39=25, Resulting Numbers: [5, 25]
Generated Node #0,2,2: 85:[5, 25] Operation: 64-39=25
Exploring Operation: 64+39=103, Resulting Numbers: [5, 103]
Generated Node #0,2,3: 85:[5, 103] Operation: 64+39=103
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 85:[5, 25], Operations: ['88-49=39', '64-39=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,85 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 85:[5, 103], Operations: ['88-49=39', '64+39=103']
Exploring Operation: 5*103=515, Resulting Numbers: [515]
515,85 unequal: No Solution
Exploring Operation: 5+103=108, Resulting Numbers: [108]
108,85 unequal: No Solution
Exploring Operation: 103-5=98, Resulting Numbers: [98]
98,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 85:[39, 69], Operations: ['88-49=39', '5+64=69']
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,85 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,85 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 85:[64, 34], Operations: ['88-49=39', '39-5=34']
Exploring Operation: 64+34=98, Resulting Numbers: [98]
98,85 unequal: No Solution
Exploring Operation: 64*34=2176, Resulting Numbers: [2176]
2176,85 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,85 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: 85:[15, 83], Operations: ['64-49=15', '88-5=83']
Exploring Operation: 15*83=1245, Resulting Numbers: [1245]
1245,85 unequal: No Solution
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,85 unequal: No Solution
Exploring Operation: 15+83=98, Resulting Numbers: [98]
98,85 unequal: No Solution
Moving to Node #0,1,2
Current State: 85:[88, 3], Operations: ['64-49=15', '15/5=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,85 unequal: No Solution
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:[49, 5, 64, 88], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [5, 88, 15]
Generated Node #0,1: 85:[5, 88, 15] Operation: 64-49=15
Moving to Node #0,1
Current State: 85:[5, 88, 15], Operations: ['64-49=15']
Exploring Operation: 15/5=3, Resulting Numbers: [88, 3]
Generated Node #0,1,2: 85:[88, 3] Operation: 15/5=3
Moving to Node #0,1,2
Current State: 85:[88, 3], Operations: ['64-49=15', '15/5=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 0.940104 | hs_4 | sum_heuristic |
[
58,
79,
3,
63
] | 28 | [
"79-58=21",
"63+21=84",
"84/3=28"
] | Current State: 28:[58, 79, 3, 63], Operations: []
Exploring Operation: 79-58=21, Resulting Numbers: [3, 63, 21]
Generated Node #2: [3, 63, 21] from Operation: 79-58=21
Current State: 28:[3, 63, 21], Operations: ['79-58=21']
Exploring Operation: 63+21=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 63+21=84
Current State: 28:[3, 84], Operations: ['79-58=21', '63+21=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[58, 79, 3, 63], Operations: []
Exploring Operation: 79-63=16, Resulting Numbers: [58, 3, 16]
Generated Node #0,0: 28:[58, 3, 16] Operation: 79-63=16
Exploring Operation: 79-58=21, Resulting Numbers: [3, 63, 21]
Generated Node #0,1: 28:[3, 63, 21] Operation: 79-58=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[58, 3, 16], Operations: ['79-63=16']
Exploring Operation: 58-16=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 28:[3, 42] Operation: 58-16=42
Exploring Operation: 58-3=55, Resulting Numbers: [16, 55]
Generated Node #0,0,1: 28:[16, 55] Operation: 58-3=55
Moving to Node #0,0,0
Current State: 28:[3, 42], Operations: ['79-63=16', '58-16=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[16, 55], Operations: ['79-63=16', '58-3=55']
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,28 unequal: No Solution
Exploring Operation: 16+55=71, Resulting Numbers: [71]
71,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[3, 63, 21], Operations: ['79-58=21']
Exploring Operation: 63/21=3, Resulting Numbers: [3, 3]
Generated Node #0,1,0: 28:[3, 3] Operation: 63/21=3
Exploring Operation: 63/3=21, Resulting Numbers: [21, 21]
Generated Node #0,1,1: 28:[21, 21] Operation: 63/3=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[3, 3], Operations: ['79-58=21', '63/21=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[21, 21], Operations: ['79-58=21', '63/3=21']
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
16,
32,
27,
30
] | 50 | [
"32-27=5",
"16*5=80",
"80-30=50"
] | Current State: 50:[16, 32, 27, 30], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [16, 30, 5]
Generated Node #2: [16, 30, 5] from Operation: 32-27=5
Current State: 50:[16, 30, 5], Operations: ['32-27=5']
Exploring Operation: 16*5=80, Resulting Numbers: [30, 80]
Generated Node #3: [30, 80] from Operation: 16*5=80
Current State: 50:[30, 80], Operations: ['32-27=5', '16*5=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[16, 32, 27, 30], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [27, 30, 16]
Generated Node #0,0: 50:[27, 30, 16] Operation: 32-16=16
Exploring Operation: 32-27=5, Resulting Numbers: [16, 30, 5]
Generated Node #0,1: 50:[16, 30, 5] Operation: 32-27=5
Exploring Operation: 32/16=2, Resulting Numbers: [27, 30, 2]
Generated Node #0,2: 50:[27, 30, 2] Operation: 32/16=2
Exploring Operation: 32-30=2, Resulting Numbers: [16, 27, 2]
Generated Node #0,3: 50:[16, 27, 2] Operation: 32-30=2
Exploring Operation: 16+32=48, Resulting Numbers: [27, 30, 48]
Generated Node #0,4: 50:[27, 30, 48] Operation: 16+32=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[27, 30, 2], Operations: ['32/16=2']
Exploring Operation: 27+30=57, Resulting Numbers: [2, 57]
Generated Node #0,2,0: 50:[2, 57] Operation: 27+30=57
Exploring Operation: 30/2=15, Resulting Numbers: [27, 15]
Generated Node #0,2,1: 50:[27, 15] Operation: 30/2=15
Exploring Operation: 30-2=28, Resulting Numbers: [27, 28]
Generated Node #0,2,2: 50:[27, 28] Operation: 30-2=28
Exploring Operation: 30-27=3, Resulting Numbers: [2, 3]
Generated Node #0,2,3: 50:[2, 3] Operation: 30-27=3
Exploring Operation: 27-2=25, Resulting Numbers: [30, 25]
Generated Node #0,2,4: 50:[30, 25] Operation: 27-2=25
Moving to Node #0,2,3
Current State: 50:[2, 3], Operations: ['32/16=2', '30-27=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,2,4
Current State: 50:[30, 25], Operations: ['32/16=2', '27-2=25']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,50 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[27, 28], Operations: ['32/16=2', '30-2=28']
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,50 unequal: No Solution
Exploring Operation: 27*28=756, Resulting Numbers: [756]
756,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[2, 57], Operations: ['32/16=2', '27+30=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,50 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[27, 15], Operations: ['32/16=2', '30/2=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,50 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,50 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 50:[16, 27, 2], Operations: ['32-30=2']
Exploring Operation: 27-16=11, Resulting Numbers: [2, 11]
Generated Node #0,3,0: 50:[2, 11] Operation: 27-16=11
Exploring Operation: 16+27=43, Resulting Numbers: [2, 43]
Generated Node #0,3,1: 50:[2, 43] Operation: 16+27=43
Exploring Operation: 16/2=8, Resulting Numbers: [27, 8]
Generated Node #0,3,2: 50:[27, 8] Operation: 16/2=8
Exploring Operation: 16-2=14, Resulting Numbers: [27, 14]
Generated Node #0,3,3: 50:[27, 14] Operation: 16-2=14
Exploring Operation: 27-2=25, Resulting Numbers: [16, 25]
Generated Node #0,3,4: 50:[16, 25] Operation: 27-2=25
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 50:[2, 11], Operations: ['32-30=2', '27-16=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,50 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 #0,3,2
Current State: 50:[27, 8], Operations: ['32-30=2', '16/2=8']
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,50 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,50 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 #0,3,3
Current State: 50:[27, 14], Operations: ['32-30=2', '16-2=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,50 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 #0,3,4
Current State: 50:[16, 25], Operations: ['32-30=2', '27-2=25']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,50 unequal: No Solution
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,50 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 #0,3,1
Current State: 50:[2, 43], Operations: ['32-30=2', '16+27=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,50 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 #0,4
Current State: 50:[27, 30, 48], Operations: ['16+32=48']
Exploring Operation: 27+30=57, Resulting Numbers: [48, 57]
Generated Node #0,4,0: 50:[48, 57] Operation: 27+30=57
Exploring Operation: 48-30=18, Resulting Numbers: [27, 18]
Generated Node #0,4,1: 50:[27, 18] Operation: 48-30=18
Exploring Operation: 30-27=3, Resulting Numbers: [48, 3]
Generated Node #0,4,2: 50:[48, 3] Operation: 30-27=3
Exploring Operation: 27+48=75, Resulting Numbers: [30, 75]
Generated Node #0,4,3: 50:[30, 75] Operation: 27+48=75
Exploring Operation: 48-27=21, Resulting Numbers: [30, 21]
Generated Node #0,4,4: 50:[30, 21] Operation: 48-27=21
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 50:[48, 3], Operations: ['16+32=48', '30-27=3']
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,50 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,50 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 #0,4,0
Current State: 50:[48, 57], Operations: ['16+32=48', '27+30=57']
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,50 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 #0,4,1
Current State: 50:[27, 18], Operations: ['16+32=48', '48-30=18']
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,50 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,50 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 #0,4,4
Current State: 50:[30, 21], Operations: ['16+32=48', '48-27=21']
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,50 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,50 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 #0,4,3
Current State: 50:[30, 75], Operations: ['16+32=48', '27+48=75']
Exploring Operation: 30+75=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Exploring Operation: 30*75=2250, Resulting Numbers: [2250]
2250,50 unequal: No Solution
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,50 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 #0,1
Current State: 50:[16, 30, 5], Operations: ['32-27=5']
Exploring Operation: 30-16=14, Resulting Numbers: [5, 14]
Generated Node #0,1,0: 50:[5, 14] Operation: 30-16=14
Exploring Operation: 30-5=25, Resulting Numbers: [16, 25]
Generated Node #0,1,1: 50:[16, 25] Operation: 30-5=25
Exploring Operation: 16-5=11, Resulting Numbers: [30, 11]
Generated Node #0,1,2: 50:[30, 11] Operation: 16-5=11
Exploring Operation: 16+30=46, Resulting Numbers: [5, 46]
Generated Node #0,1,3: 50:[5, 46] Operation: 16+30=46
Exploring Operation: 30/5=6, Resulting Numbers: [16, 6]
Generated Node #0,1,4: 50:[16, 6] Operation: 30/5=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[5, 14], Operations: ['32-27=5', '30-16=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,50 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,50 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 #0,1,3
Current State: 50:[5, 46], Operations: ['32-27=5', '16+30=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,50 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,50 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:[16, 25], Operations: ['32-27=5', '30-5=25']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,50 unequal: No Solution
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,50 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 #0,1,2
Current State: 50:[30, 11], Operations: ['32-27=5', '16-5=11']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,50 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,50 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 #0,1,4
Current State: 50:[16, 6], Operations: ['32-27=5', '30/5=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,50 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,50 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:[27, 30, 16], Operations: ['32-16=16']
Exploring Operation: 30+16=46, Resulting Numbers: [27, 46]
Generated Node #0,0,0: 50:[27, 46] Operation: 30+16=46
Exploring Operation: 30-27=3, Resulting Numbers: [16, 3]
Generated Node #0,0,1: 50:[16, 3] Operation: 30-27=3
Exploring Operation: 27+16=43, Resulting Numbers: [30, 43]
Generated Node #0,0,2: 50:[30, 43] Operation: 27+16=43
Exploring Operation: 30-16=14, Resulting Numbers: [27, 14]
Generated Node #0,0,3: 50:[27, 14] Operation: 30-16=14
Exploring Operation: 27-16=11, Resulting Numbers: [30, 11]
Generated Node #0,0,4: 50:[30, 11] Operation: 27-16=11
Moving to Node #0,0,0
Current State: 50:[27, 46], Operations: ['32-16=16', '30+16=46']
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,50 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,50 unequal: No Solution
Moving to Node #0,0,4
Current State: 50:[30, 11], Operations: ['32-16=16', '27-16=11']
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,50 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[27, 14], Operations: ['32-16=16', '30-16=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,50 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[16, 3], Operations: ['32-16=16', '30-27=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[30, 43], Operations: ['32-16=16', '27+16=43']
Exploring Operation: 30*43=1290, Resulting Numbers: [1290]
1290,50 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,50 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 |
[
51,
22,
45,
11
] | 85 | [
"51-22=29",
"45+11=56",
"29+56=85"
] | Current State: 85:[51, 22, 45, 11], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [45, 11, 29]
Generated Node #2: [45, 11, 29] from Operation: 51-22=29
Current State: 85:[45, 11, 29], Operations: ['51-22=29']
Exploring Operation: 45+11=56, Resulting Numbers: [29, 56]
Generated Node #3: [29, 56] from Operation: 45+11=56
Current State: 85:[29, 56], Operations: ['51-22=29', '45+11=56']
Exploring Operation: 29+56=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[51, 22, 45, 11], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [22, 11, 6]
Generated Node #0,0: 85:[22, 11, 6] Operation: 51-45=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[22, 11, 6], Operations: ['51-45=6']
Exploring Operation: 22/11=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 85:[6, 2] Operation: 22/11=2
Moving to Node #0,0,0
Current State: 85:[6, 2], Operations: ['51-45=6', '22/11=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,85 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 |
[
45,
62,
44,
43
] | 53 | [
"45-43=2",
"62+44=106",
"106/2=53"
] | Current State: 53:[45, 62, 44, 43], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [62, 44, 2]
Generated Node #2: [62, 44, 2] from Operation: 45-43=2
Current State: 53:[62, 44, 2], Operations: ['45-43=2']
Exploring Operation: 62+44=106, Resulting Numbers: [2, 106]
Generated Node #3: [2, 106] from Operation: 62+44=106
Current State: 53:[2, 106], Operations: ['45-43=2', '62+44=106']
Exploring Operation: 106/2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[45, 62, 44, 43], Operations: []
Exploring Operation: 44+43=87, Resulting Numbers: [45, 62, 87]
Generated Node #0,0: 53:[45, 62, 87] Operation: 44+43=87
Exploring Operation: 62-43=19, Resulting Numbers: [45, 44, 19]
Generated Node #0,1: 53:[45, 44, 19] Operation: 62-43=19
Exploring Operation: 45+43=88, Resulting Numbers: [62, 44, 88]
Generated Node #0,2: 53:[62, 44, 88] Operation: 45+43=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[45, 62, 87], Operations: ['44+43=87']
Exploring Operation: 87-45=42, Resulting Numbers: [62, 42]
Generated Node #0,0,0: 53:[62, 42] Operation: 87-45=42
Exploring Operation: 62-45=17, Resulting Numbers: [87, 17]
Generated Node #0,0,1: 53:[87, 17] Operation: 62-45=17
Exploring Operation: 87-62=25, Resulting Numbers: [45, 25]
Generated Node #0,0,2: 53:[45, 25] Operation: 87-62=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[62, 42], Operations: ['44+43=87', '87-45=42']
Exploring Operation: 62*42=2604, Resulting Numbers: [2604]
2604,53 unequal: No Solution
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 62+42=104, Resulting Numbers: [104]
104,53 unequal: No Solution
No 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: 53:[45, 25], Operations: ['44+43=87', '87-62=25']
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,53 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,53 unequal: No Solution
No 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: 53:[87, 17], Operations: ['44+43=87', '62-45=17']
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,53 unequal: No Solution
Exploring Operation: 87*17=1479, Resulting Numbers: [1479]
1479,53 unequal: No Solution
Exploring Operation: 87+17=104, Resulting Numbers: [104]
104,53 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: 53:[45, 44, 19], Operations: ['62-43=19']
Exploring Operation: 44+19=63, Resulting Numbers: [45, 63]
Generated Node #0,1,0: 53:[45, 63] Operation: 44+19=63
Exploring Operation: 45-19=26, Resulting Numbers: [44, 26]
Generated Node #0,1,1: 53:[44, 26] Operation: 45-19=26
Exploring Operation: 45+19=64, Resulting Numbers: [44, 64]
Generated Node #0,1,2: 53:[44, 64] Operation: 45+19=64
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[45, 63], Operations: ['62-43=19', '44+19=63']
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 45*63=2835, Resulting Numbers: [2835]
2835,53 unequal: No Solution
Exploring Operation: 45+63=108, Resulting Numbers: [108]
108,53 unequal: No Solution
No 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: 53:[44, 64], Operations: ['62-43=19', '45+19=64']
Exploring Operation: 44*64=2816, Resulting Numbers: [2816]
2816,53 unequal: No Solution
Exploring Operation: 44+64=108, Resulting Numbers: [108]
108,53 unequal: No Solution
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,53 unequal: No Solution
No 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: 53:[44, 26], Operations: ['62-43=19', '45-19=26']
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,53 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,53 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: 53:[62, 44, 88], Operations: ['45+43=88']
Exploring Operation: 88-44=44, Resulting Numbers: [62, 44]
Generated Node #0,2,0: 53:[62, 44] Operation: 88-44=44
Exploring Operation: 88-62=26, Resulting Numbers: [44, 26]
Generated Node #0,2,1: 53:[44, 26] Operation: 88-62=26
Exploring Operation: 88/44=2, Resulting Numbers: [62, 2]
Generated Node #0,2,2: 53:[62, 2] Operation: 88/44=2
Moving to Node #0,2,0
Current State: 53:[62, 44], Operations: ['45+43=88', '88-44=44']
Exploring Operation: 62+44=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 62*44=2728, Resulting Numbers: [2728]
2728,53 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[44, 26], Operations: ['45+43=88', '88-62=26']
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,53 unequal: No Solution
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,53 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[62, 2], Operations: ['45+43=88', '88/44=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
40,
50,
49,
21
] | 20 | [
"40+50=90",
"49+21=70",
"90-70=20"
] | Current State: 20:[40, 50, 49, 21], Operations: []
Exploring Operation: 40+50=90, Resulting Numbers: [49, 21, 90]
Generated Node #2: [49, 21, 90] from Operation: 40+50=90
Current State: 20:[49, 21, 90], Operations: ['40+50=90']
Exploring Operation: 49+21=70, Resulting Numbers: [90, 70]
Generated Node #3: [90, 70] from Operation: 49+21=70
Current State: 20:[90, 70], Operations: ['40+50=90', '49+21=70']
Exploring Operation: 90-70=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[40, 50, 49, 21], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [50, 21, 9]
Generated Node #0,0: 20:[50, 21, 9] Operation: 49-40=9
Exploring Operation: 50-40=10, Resulting Numbers: [49, 21, 10]
Generated Node #0,1: 20:[49, 21, 10] Operation: 50-40=10
Exploring Operation: 50-49=1, Resulting Numbers: [40, 21, 1]
Generated Node #0,2: 20:[40, 21, 1] Operation: 50-49=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[40, 21, 1], Operations: ['50-49=1']
Exploring Operation: 40-21=19, Resulting Numbers: [1, 19]
Generated Node #0,2,0: 20:[1, 19] Operation: 40-21=19
Exploring Operation: 40-1=39, Resulting Numbers: [21, 39]
Generated Node #0,2,1: 20:[21, 39] Operation: 40-1=39
Exploring Operation: 21-1=20, Resulting Numbers: [40, 20]
Generated Node #0,2,2: 20:[40, 20] Operation: 21-1=20
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[1, 19], Operations: ['50-49=1', '40-21=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[40, 50, 49, 21], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [40, 21, 1]
Generated Node #0,2: 20:[40, 21, 1] Operation: 50-49=1
Moving to Node #0,2
Current State: 20:[40, 21, 1], Operations: ['50-49=1']
Exploring Operation: 40-21=19, Resulting Numbers: [1, 19]
Generated Node #0,2,0: 20:[1, 19] Operation: 40-21=19
Moving to Node #0,2,0
Current State: 20:[1, 19], Operations: ['50-49=1', '40-21=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
99,
71,
43,
70
] | 57 | [
"99+71=170",
"43+70=113",
"170-113=57"
] | Current State: 57:[99, 71, 43, 70], Operations: []
Exploring Operation: 99+71=170, Resulting Numbers: [43, 70, 170]
Generated Node #2: [43, 70, 170] from Operation: 99+71=170
Current State: 57:[43, 70, 170], Operations: ['99+71=170']
Exploring Operation: 43+70=113, Resulting Numbers: [170, 113]
Generated Node #3: [170, 113] from Operation: 43+70=113
Current State: 57:[170, 113], Operations: ['99+71=170', '43+70=113']
Exploring Operation: 170-113=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[99, 71, 43, 70], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [43, 70, 28]
Generated Node #0,0: 57:[43, 70, 28] Operation: 99-71=28
Exploring Operation: 99-43=56, Resulting Numbers: [71, 70, 56]
Generated Node #0,1: 57:[71, 70, 56] Operation: 99-43=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[71, 70, 56], Operations: ['99-43=56']
Exploring Operation: 71-56=15, Resulting Numbers: [70, 15]
Generated Node #0,1,0: 57:[70, 15] Operation: 71-56=15
Exploring Operation: 71-70=1, Resulting Numbers: [56, 1]
Generated Node #0,1,1: 57:[56, 1] Operation: 71-70=1
Moving to Node #0,1,1
Current State: 57:[56, 1], Operations: ['99-43=56', '71-70=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,57 unequal: No Solution
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[99, 71, 43, 70], Operations: []
Exploring Operation: 99-43=56, Resulting Numbers: [71, 70, 56]
Generated Node #0,1: 57:[71, 70, 56] Operation: 99-43=56
Moving to Node #0,1
Current State: 57:[71, 70, 56], Operations: ['99-43=56']
Exploring Operation: 71-70=1, Resulting Numbers: [56, 1]
Generated Node #0,1,1: 57:[56, 1] Operation: 71-70=1
Moving to Node #0,1,1
Current State: 57:[56, 1], Operations: ['99-43=56', '71-70=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
63,
13,
89,
42
] | 84 | [
"89-63=26",
"26/13=2",
"42*2=84"
] | Current State: 84:[63, 13, 89, 42], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [13, 42, 26]
Generated Node #2: [13, 42, 26] from Operation: 89-63=26
Current State: 84:[13, 42, 26], Operations: ['89-63=26']
Exploring Operation: 26/13=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 26/13=2
Current State: 84:[42, 2], Operations: ['89-63=26', '26/13=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[63, 13, 89, 42], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [13, 42, 26]
Generated Node #0,0: 84:[13, 42, 26] Operation: 89-63=26
Exploring Operation: 63-42=21, Resulting Numbers: [13, 89, 21]
Generated Node #0,1: 84:[13, 89, 21] Operation: 63-42=21
Moving to Node #0,0
Current State: 84:[13, 42, 26], Operations: ['89-63=26']
Exploring Operation: 26-13=13, Resulting Numbers: [42, 13]
Generated Node #0,0,0: 84:[42, 13] Operation: 26-13=13
Exploring Operation: 26/13=2, Resulting Numbers: [42, 2]
Generated Node #0,0,1: 84:[42, 2] Operation: 26/13=2
Moving to Node #0,1
Current State: 84:[13, 89, 21], Operations: ['63-42=21']
Exploring Operation: 89-13=76, Resulting Numbers: [21, 76]
Generated Node #0,1,0: 84:[21, 76] Operation: 89-13=76
Exploring Operation: 21-13=8, Resulting Numbers: [89, 8]
Generated Node #0,1,1: 84:[89, 8] Operation: 21-13=8
Moving to Node #0,0,1
Current State: 84:[42, 2], Operations: ['89-63=26', '26/13=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[63, 13, 89, 42], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [13, 42, 26]
Generated Node #0,0: 84:[13, 42, 26] Operation: 89-63=26
Moving to Node #0,0
Current State: 84:[13, 42, 26], Operations: ['89-63=26']
Exploring Operation: 26/13=2, Resulting Numbers: [42, 2]
Generated Node #0,0,1: 84:[42, 2] Operation: 26/13=2
Moving to Node #0,0,1
Current State: 84:[42, 2], Operations: ['89-63=26', '26/13=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
41,
75,
43,
60
] | 51 | [
"75-41=34",
"60-43=17",
"34+17=51"
] | Current State: 51:[41, 75, 43, 60], Operations: []
Exploring Operation: 75-41=34, Resulting Numbers: [43, 60, 34]
Generated Node #2: [43, 60, 34] from Operation: 75-41=34
Current State: 51:[43, 60, 34], Operations: ['75-41=34']
Exploring Operation: 60-43=17, Resulting Numbers: [34, 17]
Generated Node #3: [34, 17] from Operation: 60-43=17
Current State: 51:[34, 17], Operations: ['75-41=34', '60-43=17']
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[41, 75, 43, 60], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [75, 60, 2]
Generated Node #0,0: 51:[75, 60, 2] Operation: 43-41=2
Exploring Operation: 75-41=34, Resulting Numbers: [43, 60, 34]
Generated Node #0,1: 51:[43, 60, 34] Operation: 75-41=34
Exploring Operation: 75-60=15, Resulting Numbers: [41, 43, 15]
Generated Node #0,2: 51:[41, 43, 15] Operation: 75-60=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[41, 43, 15], Operations: ['75-60=15']
Exploring Operation: 41+15=56, Resulting Numbers: [43, 56]
Generated Node #0,2,0: 51:[43, 56] Operation: 41+15=56
Exploring Operation: 43-41=2, Resulting Numbers: [15, 2]
Generated Node #0,2,1: 51:[15, 2] Operation: 43-41=2
Exploring Operation: 41-15=26, Resulting Numbers: [43, 26]
Generated Node #0,2,2: 51:[43, 26] Operation: 41-15=26
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[15, 2], Operations: ['75-60=15', '43-41=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,51 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:[43, 56], Operations: ['75-60=15', '41+15=56']
Exploring Operation: 43*56=2408, Resulting Numbers: [2408]
2408,51 unequal: No Solution
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 43+56=99, Resulting Numbers: [99]
99,51 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 #0,2,2
Current State: 51:[43, 26], Operations: ['75-60=15', '41-15=26']
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,51 unequal: No Solution
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,51 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:[75, 60, 2], Operations: ['43-41=2']
Exploring Operation: 75-60=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 51:[2, 15] Operation: 75-60=15
Exploring Operation: 60-2=58, Resulting Numbers: [75, 58]
Generated Node #0,0,1: 51:[75, 58] Operation: 60-2=58
Exploring Operation: 75-2=73, Resulting Numbers: [60, 73]
Generated Node #0,0,2: 51:[60, 73] Operation: 75-2=73
Moving to Node #0,0,0
Current State: 51:[2, 15], Operations: ['43-41=2', '75-60=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[75, 58], Operations: ['43-41=2', '60-2=58']
Exploring Operation: 75+58=133, Resulting Numbers: [133]
133,51 unequal: No Solution
Exploring Operation: 75-58=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 75*58=4350, Resulting Numbers: [4350]
4350,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[60, 73], Operations: ['43-41=2', '75-2=73']
Exploring Operation: 60+73=133, Resulting Numbers: [133]
133,51 unequal: No Solution
Exploring Operation: 60*73=4380, Resulting Numbers: [4380]
4380,51 unequal: No Solution
Exploring Operation: 73-60=13, Resulting Numbers: [13]
13,51 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 #0,1
Current State: 51:[43, 60, 34], Operations: ['75-41=34']
Exploring Operation: 60-34=26, Resulting Numbers: [43, 26]
Generated Node #0,1,0: 51:[43, 26] Operation: 60-34=26
Exploring Operation: 60-43=17, Resulting Numbers: [34, 17]
Generated Node #0,1,1: 51:[34, 17] Operation: 60-43=17
Exploring Operation: 43-34=9, Resulting Numbers: [60, 9]
Generated Node #0,1,2: 51:[60, 9] Operation: 43-34=9
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[60, 9], Operations: ['75-41=34', '43-34=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[41, 75, 43, 60], Operations: []
Exploring Operation: 75-41=34, Resulting Numbers: [43, 60, 34]
Generated Node #0,1: 51:[43, 60, 34] Operation: 75-41=34
Moving to Node #0,1
Current State: 51:[43, 60, 34], Operations: ['75-41=34']
Exploring Operation: 43-34=9, Resulting Numbers: [60, 9]
Generated Node #0,1,2: 51:[60, 9] Operation: 43-34=9
Moving to Node #0,1,2
Current State: 51:[60, 9], Operations: ['75-41=34', '43-34=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
9,
40,
38,
10
] | 92 | [
"9*10=90",
"40-38=2",
"90+2=92"
] | Current State: 92:[9, 40, 38, 10], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [40, 38, 90]
Generated Node #2: [40, 38, 90] from Operation: 9*10=90
Current State: 92:[40, 38, 90], Operations: ['9*10=90']
Exploring Operation: 40-38=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 40-38=2
Current State: 92:[90, 2], Operations: ['9*10=90', '40-38=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[9, 40, 38, 10], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [9, 10, 2]
Generated Node #0,0: 92:[9, 10, 2] Operation: 40-38=2
Exploring Operation: 10-9=1, Resulting Numbers: [40, 38, 1]
Generated Node #0,1: 92:[40, 38, 1] Operation: 10-9=1
Exploring Operation: 38+10=48, Resulting Numbers: [9, 40, 48]
Generated Node #0,2: 92:[9, 40, 48] Operation: 38+10=48
Exploring Operation: 40/10=4, Resulting Numbers: [9, 38, 4]
Generated Node #0,3: 92:[9, 38, 4] Operation: 40/10=4
Exploring Operation: 9+38=47, Resulting Numbers: [40, 10, 47]
Generated Node #0,4: 92:[40, 10, 47] Operation: 9+38=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[9, 10, 2], Operations: ['40-38=2']
Exploring Operation: 9+10=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 92:[2, 19] Operation: 9+10=19
Exploring Operation: 10*2=20, Resulting Numbers: [9, 20]
Generated Node #0,0,1: 92:[9, 20] Operation: 10*2=20
Exploring Operation: 9*10=90, Resulting Numbers: [2, 90]
Generated Node #0,0,2: 92:[2, 90] Operation: 9*10=90
Exploring Operation: 10-9=1, Resulting Numbers: [2, 1]
Generated Node #0,0,3: 92:[2, 1] Operation: 10-9=1
Exploring Operation: 10/2=5, Resulting Numbers: [9, 5]
Generated Node #0,0,4: 92:[9, 5] Operation: 10/2=5
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 92:[2, 1], Operations: ['40-38=2', '10-9=1']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No 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: 92:[2, 90], Operations: ['40-38=2', '9*10=90']
Exploring Operation: 2*90=180, Resulting Numbers: [180]
180,92 unequal: No Solution
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[9, 40, 38, 10], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [9, 10, 2]
Generated Node #0,0: 92:[9, 10, 2] Operation: 40-38=2
Moving to Node #0,0
Current State: 92:[9, 10, 2], Operations: ['40-38=2']
Exploring Operation: 9*10=90, Resulting Numbers: [2, 90]
Generated Node #0,0,2: 92:[2, 90] Operation: 9*10=90
Moving to Node #0,0,2
Current State: 92:[2, 90], Operations: ['40-38=2', '9*10=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
87,
90,
36,
69
] | 99 | [
"90-87=3",
"69-36=33",
"3*33=99"
] | Current State: 99:[87, 90, 36, 69], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [36, 69, 3]
Generated Node #2: [36, 69, 3] from Operation: 90-87=3
Current State: 99:[36, 69, 3], Operations: ['90-87=3']
Exploring Operation: 69-36=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 69-36=33
Current State: 99:[3, 33], Operations: ['90-87=3', '69-36=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[87, 90, 36, 69], Operations: []
Exploring Operation: 90-69=21, Resulting Numbers: [87, 36, 21]
Generated Node #0,0: 99:[87, 36, 21] Operation: 90-69=21
Exploring Operation: 87-69=18, Resulting Numbers: [90, 36, 18]
Generated Node #0,1: 99:[90, 36, 18] Operation: 87-69=18
Exploring Operation: 69-36=33, Resulting Numbers: [87, 90, 33]
Generated Node #0,2: 99:[87, 90, 33] Operation: 69-36=33
Moving to Node #0,1
Current State: 99:[90, 36, 18], Operations: ['87-69=18']
Exploring Operation: 36/18=2, Resulting Numbers: [90, 2]
Generated Node #0,1,0: 99:[90, 2] Operation: 36/18=2
Exploring Operation: 90/18=5, Resulting Numbers: [36, 5]
Generated Node #0,1,1: 99:[36, 5] Operation: 90/18=5
Exploring Operation: 90+18=108, Resulting Numbers: [36, 108]
Generated Node #0,1,2: 99:[36, 108] Operation: 90+18=108
Moving to Node #0,2
Current State: 99:[87, 90, 33], Operations: ['69-36=33']
Exploring Operation: 90-87=3, Resulting Numbers: [33, 3]
Generated Node #0,2,0: 99:[33, 3] Operation: 90-87=3
Exploring Operation: 87-33=54, Resulting Numbers: [90, 54]
Generated Node #0,2,1: 99:[90, 54] Operation: 87-33=54
Exploring Operation: 87+33=120, Resulting Numbers: [90, 120]
Generated Node #0,2,2: 99:[90, 120] Operation: 87+33=120
Moving to Node #0,0
Current State: 99:[87, 36, 21], Operations: ['90-69=21']
Exploring Operation: 36-21=15, Resulting Numbers: [87, 15]
Generated Node #0,0,0: 99:[87, 15] Operation: 36-21=15
Exploring Operation: 87+21=108, Resulting Numbers: [36, 108]
Generated Node #0,0,1: 99:[36, 108] Operation: 87+21=108
Exploring Operation: 87-36=51, Resulting Numbers: [21, 51]
Generated Node #0,0,2: 99:[21, 51] Operation: 87-36=51
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[36, 108], Operations: ['90-69=21', '87+21=108']
Exploring Operation: 108/36=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 36+108=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 108-36=72, Resulting Numbers: [72]
72,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[87, 15], Operations: ['90-69=21', '36-21=15']
Exploring Operation: 87*15=1305, Resulting Numbers: [1305]
1305,99 unequal: No Solution
Exploring Operation: 87+15=102, Resulting Numbers: [102]
102,99 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 99:[21, 51], Operations: ['90-69=21', '87-36=51']
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,99 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 99:[33, 3], Operations: ['69-36=33', '90-87=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[87, 90, 36, 69], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [87, 90, 33]
Generated Node #0,2: 99:[87, 90, 33] Operation: 69-36=33
Moving to Node #0,2
Current State: 99:[87, 90, 33], Operations: ['69-36=33']
Exploring Operation: 90-87=3, Resulting Numbers: [33, 3]
Generated Node #0,2,0: 99:[33, 3] Operation: 90-87=3
Moving to Node #0,2,0
Current State: 99:[33, 3], Operations: ['69-36=33', '90-87=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
68,
48,
56,
40
] | 58 | [
"68-48=20",
"40/20=2",
"56+2=58"
] | Current State: 58:[68, 48, 56, 40], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [56, 40, 20]
Generated Node #2: [56, 40, 20] from Operation: 68-48=20
Current State: 58:[56, 40, 20], Operations: ['68-48=20']
Exploring Operation: 40/20=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 40/20=2
Current State: 58:[56, 2], Operations: ['68-48=20', '40/20=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[68, 48, 56, 40], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [68, 56, 8]
Generated Node #0,0: 58:[68, 56, 8] Operation: 48-40=8
Exploring Operation: 68-40=28, Resulting Numbers: [48, 56, 28]
Generated Node #0,1: 58:[48, 56, 28] Operation: 68-40=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[48, 56, 28], Operations: ['68-40=28']
Exploring Operation: 56/28=2, Resulting Numbers: [48, 2]
Generated Node #0,1,0: 58:[48, 2] Operation: 56/28=2
Exploring Operation: 56-48=8, Resulting Numbers: [28, 8]
Generated Node #0,1,1: 58:[28, 8] Operation: 56-48=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[28, 8], Operations: ['68-40=28', '56-48=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[48, 2], Operations: ['68-40=28', '56/28=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[68, 56, 8], Operations: ['48-40=8']
Exploring Operation: 68-8=60, Resulting Numbers: [56, 60]
Generated Node #0,0,0: 58:[56, 60] Operation: 68-8=60
Exploring Operation: 56/8=7, Resulting Numbers: [68, 7]
Generated Node #0,0,1: 58:[68, 7] Operation: 56/8=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[56, 60], Operations: ['48-40=8', '68-8=60']
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,58 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[68, 7], Operations: ['48-40=8', '56/8=7']
Exploring Operation: 68+7=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
68,
63,
7,
69
] | 69 | [
"68+63=131",
"69-7=62",
"131-62=69"
] | Current State: 69:[68, 63, 7, 69], Operations: []
Exploring Operation: 68+63=131, Resulting Numbers: [7, 69, 131]
Generated Node #2: [7, 69, 131] from Operation: 68+63=131
Current State: 69:[7, 69, 131], Operations: ['68+63=131']
Exploring Operation: 69-7=62, Resulting Numbers: [131, 62]
Generated Node #3: [131, 62] from Operation: 69-7=62
Current State: 69:[131, 62], Operations: ['68+63=131', '69-7=62']
Exploring Operation: 131-62=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[68, 63, 7, 69], Operations: []
Exploring Operation: 63+7=70, Resulting Numbers: [68, 69, 70]
Generated Node #0,0: 69:[68, 69, 70] Operation: 63+7=70
Moving to Node #0,0
Current State: 69:[68, 69, 70], Operations: ['63+7=70']
Exploring Operation: 70-68=2, Resulting Numbers: [69, 2]
Generated Node #0,0,0: 69:[69, 2] Operation: 70-68=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[69, 2], Operations: ['63+7=70', '70-68=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,69 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 |
[
20,
26,
14,
43
] | 60 | [
"26+14=40",
"43-40=3",
"20*3=60"
] | Current State: 60:[20, 26, 14, 43], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [20, 43, 40]
Generated Node #2: [20, 43, 40] from Operation: 26+14=40
Current State: 60:[20, 43, 40], Operations: ['26+14=40']
Exploring Operation: 43-40=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 43-40=3
Current State: 60:[20, 3], Operations: ['26+14=40', '43-40=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[20, 26, 14, 43], Operations: []
Exploring Operation: 43-26=17, Resulting Numbers: [20, 14, 17]
Generated Node #0,0: 60:[20, 14, 17] Operation: 43-26=17
Exploring Operation: 14+43=57, Resulting Numbers: [20, 26, 57]
Generated Node #0,1: 60:[20, 26, 57] Operation: 14+43=57
Exploring Operation: 43-14=29, Resulting Numbers: [20, 26, 29]
Generated Node #0,2: 60:[20, 26, 29] Operation: 43-14=29
Moving to Node #0,0
Current State: 60:[20, 14, 17], Operations: ['43-26=17']
Exploring Operation: 20-17=3, Resulting Numbers: [14, 3]
Generated Node #0,0,0: 60:[14, 3] Operation: 20-17=3
Exploring Operation: 14+17=31, Resulting Numbers: [20, 31]
Generated Node #0,0,1: 60:[20, 31] Operation: 14+17=31
Exploring Operation: 17-14=3, Resulting Numbers: [20, 3]
Generated Node #0,0,2: 60:[20, 3] Operation: 17-14=3
Moving to Node #0,2
Current State: 60:[20, 26, 29], Operations: ['43-14=29']
Exploring Operation: 26-20=6, Resulting Numbers: [29, 6]
Generated Node #0,2,0: 60:[29, 6] Operation: 26-20=6
Exploring Operation: 29-20=9, Resulting Numbers: [26, 9]
Generated Node #0,2,1: 60:[26, 9] Operation: 29-20=9
Exploring Operation: 29-26=3, Resulting Numbers: [20, 3]
Generated Node #0,2,2: 60:[20, 3] Operation: 29-26=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[20, 3], Operations: ['43-14=29', '29-26=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[20, 26, 14, 43], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [20, 26, 29]
Generated Node #0,2: 60:[20, 26, 29] Operation: 43-14=29
Moving to Node #0,2
Current State: 60:[20, 26, 29], Operations: ['43-14=29']
Exploring Operation: 29-26=3, Resulting Numbers: [20, 3]
Generated Node #0,2,2: 60:[20, 3] Operation: 29-26=3
Moving to Node #0,2,2
Current State: 60:[20, 3], Operations: ['43-14=29', '29-26=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
76,
30,
50,
61
] | 100 | [
"76-61=15",
"30*50=1500",
"1500/15=100"
] | Current State: 100:[76, 30, 50, 61], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [30, 50, 15]
Generated Node #2: [30, 50, 15] from Operation: 76-61=15
Current State: 100:[30, 50, 15], Operations: ['76-61=15']
Exploring Operation: 30*50=1500, Resulting Numbers: [15, 1500]
Generated Node #3: [15, 1500] from Operation: 30*50=1500
Current State: 100:[15, 1500], Operations: ['76-61=15', '30*50=1500']
Exploring Operation: 1500/15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[76, 30, 50, 61], Operations: []
Exploring Operation: 76-30=46, Resulting Numbers: [50, 61, 46]
Generated Node #0,0: 100:[50, 61, 46] Operation: 76-30=46
Exploring Operation: 76-61=15, Resulting Numbers: [30, 50, 15]
Generated Node #0,1: 100:[30, 50, 15] Operation: 76-61=15
Moving to Node #0,1
Current State: 100:[30, 50, 15], Operations: ['76-61=15']
Exploring Operation: 30/15=2, Resulting Numbers: [50, 2]
Generated Node #0,1,0: 100:[50, 2] Operation: 30/15=2
Exploring Operation: 50-30=20, Resulting Numbers: [15, 20]
Generated Node #0,1,1: 100:[15, 20] Operation: 50-30=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[50, 2], Operations: ['76-61=15', '30/15=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[76, 30, 50, 61], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [30, 50, 15]
Generated Node #0,1: 100:[30, 50, 15] Operation: 76-61=15
Moving to Node #0,1
Current State: 100:[30, 50, 15], Operations: ['76-61=15']
Exploring Operation: 30/15=2, Resulting Numbers: [50, 2]
Generated Node #0,1,0: 100:[50, 2] Operation: 30/15=2
Moving to Node #0,1,0
Current State: 100:[50, 2], Operations: ['76-61=15', '30/15=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
69,
4,
94,
7
] | 83 | [
"4+94=98",
"98/7=14",
"69+14=83"
] | Current State: 83:[69, 4, 94, 7], Operations: []
Exploring Operation: 4+94=98, Resulting Numbers: [69, 7, 98]
Generated Node #2: [69, 7, 98] from Operation: 4+94=98
Current State: 83:[69, 7, 98], Operations: ['4+94=98']
Exploring Operation: 98/7=14, Resulting Numbers: [69, 14]
Generated Node #3: [69, 14] from Operation: 98/7=14
Current State: 83:[69, 14], Operations: ['4+94=98', '98/7=14']
Exploring Operation: 69+14=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[69, 4, 94, 7], Operations: []
Exploring Operation: 4+7=11, Resulting Numbers: [69, 94, 11]
Generated Node #0,0: 83:[69, 94, 11] Operation: 4+7=11
Exploring Operation: 94-4=90, Resulting Numbers: [69, 7, 90]
Generated Node #0,1: 83:[69, 7, 90] Operation: 94-4=90
Exploring Operation: 69+7=76, Resulting Numbers: [4, 94, 76]
Generated Node #0,2: 83:[4, 94, 76] Operation: 69+7=76
Exploring Operation: 4*7=28, Resulting Numbers: [69, 94, 28]
Generated Node #0,3: 83:[69, 94, 28] Operation: 4*7=28
Exploring Operation: 69+4=73, Resulting Numbers: [94, 7, 73]
Generated Node #0,4: 83:[94, 7, 73] Operation: 69+4=73
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[69, 94, 28], Operations: ['4*7=28']
Exploring Operation: 94-69=25, Resulting Numbers: [28, 25]
Generated Node #0,3,0: 83:[28, 25] Operation: 94-69=25
Exploring Operation: 69+28=97, Resulting Numbers: [94, 97]
Generated Node #0,3,1: 83:[94, 97] Operation: 69+28=97
Exploring Operation: 94-28=66, Resulting Numbers: [69, 66]
Generated Node #0,3,2: 83:[69, 66] Operation: 94-28=66
Exploring Operation: 94+28=122, Resulting Numbers: [69, 122]
Generated Node #0,3,3: 83:[69, 122] Operation: 94+28=122
Exploring Operation: 69-28=41, Resulting Numbers: [94, 41]
Generated Node #0,3,4: 83:[94, 41] Operation: 69-28=41
Moving to Node #0,3,1
Current State: 83:[94, 97], Operations: ['4*7=28', '69+28=97']
Exploring Operation: 94*97=9118, Resulting Numbers: [9118]
9118,83 unequal: No Solution
Exploring Operation: 94+97=191, Resulting Numbers: [191]
191,83 unequal: No Solution
Exploring Operation: 97-94=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[69, 66], Operations: ['4*7=28', '94-28=66']
Exploring Operation: 69*66=4554, Resulting Numbers: [4554]
4554,83 unequal: No Solution
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 69+66=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[69, 122], Operations: ['4*7=28', '94+28=122']
Exploring Operation: 69+122=191, Resulting Numbers: [191]
191,83 unequal: No Solution
Exploring Operation: 122-69=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 69*122=8418, Resulting Numbers: [8418]
8418,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[94, 41], Operations: ['4*7=28', '69-28=41']
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 94+41=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 94*41=3854, Resulting Numbers: [3854]
3854,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[28, 25], Operations: ['4*7=28', '94-69=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,83 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[69, 94, 11], Operations: ['4+7=11']
Exploring Operation: 94-69=25, Resulting Numbers: [11, 25]
Generated Node #0,0,0: 83:[11, 25] Operation: 94-69=25
Exploring Operation: 94+11=105, Resulting Numbers: [69, 105]
Generated Node #0,0,1: 83:[69, 105] Operation: 94+11=105
Exploring Operation: 94-11=83, Resulting Numbers: [69, 83]
Generated Node #0,0,2: 83:[69, 83] Operation: 94-11=83
Exploring Operation: 69+11=80, Resulting Numbers: [94, 80]
Generated Node #0,0,3: 83:[94, 80] Operation: 69+11=80
Exploring Operation: 69-11=58, Resulting Numbers: [94, 58]
Generated Node #0,0,4: 83:[94, 58] Operation: 69-11=58
Moving to Node #0,0,2
Current State: 83:[69, 83], Operations: ['4+7=11', '94-11=83']
Exploring Operation: 69*83=5727, Resulting Numbers: [5727]
5727,83 unequal: No Solution
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 69+83=152, Resulting Numbers: [152]
152,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[94, 80], Operations: ['4+7=11', '69+11=80']
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,83 unequal: No Solution
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[69, 105], Operations: ['4+7=11', '94+11=105']
Exploring Operation: 105-69=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 69+105=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 69*105=7245, Resulting Numbers: [7245]
7245,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[94, 58], Operations: ['4+7=11', '69-11=58']
Exploring Operation: 94*58=5452, Resulting Numbers: [5452]
5452,83 unequal: No Solution
Exploring Operation: 94-58=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 94+58=152, Resulting Numbers: [152]
152,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[11, 25], Operations: ['4+7=11', '94-69=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,83 unequal: No Solution
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[69, 7, 90], Operations: ['94-4=90']
Exploring Operation: 7+90=97, Resulting Numbers: [69, 97]
Generated Node #0,1,0: 83:[69, 97] Operation: 7+90=97
Exploring Operation: 90-7=83, Resulting Numbers: [69, 83]
Generated Node #0,1,1: 83:[69, 83] Operation: 90-7=83
Exploring Operation: 69+7=76, Resulting Numbers: [90, 76]
Generated Node #0,1,2: 83:[90, 76] Operation: 69+7=76
Exploring Operation: 90-69=21, Resulting Numbers: [7, 21]
Generated Node #0,1,3: 83:[7, 21] Operation: 90-69=21
Exploring Operation: 69-7=62, Resulting Numbers: [90, 62]
Generated Node #0,1,4: 83:[90, 62] Operation: 69-7=62
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[69, 83], Operations: ['94-4=90', '90-7=83']
Exploring Operation: 69*83=5727, Resulting Numbers: [5727]
5727,83 unequal: No Solution
Exploring Operation: 69+83=152, Resulting Numbers: [152]
152,83 unequal: No Solution
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[90, 76], Operations: ['94-4=90', '69+7=76']
Exploring Operation: 90+76=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 90*76=6840, Resulting Numbers: [6840]
6840,83 unequal: No Solution
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[69, 97], Operations: ['94-4=90', '7+90=97']
Exploring Operation: 69+97=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 69*97=6693, Resulting Numbers: [6693]
6693,83 unequal: No Solution
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 83:[90, 62], Operations: ['94-4=90', '69-7=62']
Exploring Operation: 90*62=5580, Resulting Numbers: [5580]
5580,83 unequal: No Solution
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 90+62=152, Resulting Numbers: [152]
152,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[7, 21], Operations: ['94-4=90', '90-69=21']
Exploring Operation: 7*21=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,83 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 #0,2
Current State: 83:[4, 94, 76], Operations: ['69+7=76']
Exploring Operation: 94-4=90, Resulting Numbers: [76, 90]
Generated Node #0,2,0: 83:[76, 90] Operation: 94-4=90
Exploring Operation: 76/4=19, Resulting Numbers: [94, 19]
Generated Node #0,2,1: 83:[94, 19] Operation: 76/4=19
Exploring Operation: 76-4=72, Resulting Numbers: [94, 72]
Generated Node #0,2,2: 83:[94, 72] Operation: 76-4=72
Exploring Operation: 4+76=80, Resulting Numbers: [94, 80]
Generated Node #0,2,3: 83:[94, 80] Operation: 4+76=80
Exploring Operation: 4+94=98, Resulting Numbers: [76, 98]
Generated Node #0,2,4: 83:[76, 98] Operation: 4+94=98
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[76, 90], Operations: ['69+7=76', '94-4=90']
Exploring Operation: 90-76=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 76*90=6840, Resulting Numbers: [6840]
6840,83 unequal: No Solution
Exploring Operation: 76+90=166, Resulting Numbers: [166]
166,83 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:[94, 80], Operations: ['69+7=76', '4+76=80']
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,83 unequal: No Solution
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,83 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 #0,2,2
Current State: 83:[94, 72], Operations: ['69+7=76', '76-4=72']
Exploring Operation: 94*72=6768, Resulting Numbers: [6768]
6768,83 unequal: No Solution
Exploring Operation: 94-72=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 94+72=166, Resulting Numbers: [166]
166,83 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 #0,2,4
Current State: 83:[76, 98], Operations: ['69+7=76', '4+94=98']
Exploring Operation: 98-76=22, Resulting Numbers: [22]
22,83 unequal: No Solution
Exploring Operation: 76*98=7448, Resulting Numbers: [7448]
7448,83 unequal: No Solution
Exploring Operation: 76+98=174, Resulting Numbers: [174]
174,83 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 #0,2,1
Current State: 83:[94, 19], Operations: ['69+7=76', '76/4=19']
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,83 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,83 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 #0,4
Current State: 83:[94, 7, 73], Operations: ['69+4=73']
Exploring Operation: 94-7=87, Resulting Numbers: [73, 87]
Generated Node #0,4,0: 83:[73, 87] Operation: 94-7=87
Exploring Operation: 94+7=101, Resulting Numbers: [73, 101]
Generated Node #0,4,1: 83:[73, 101] Operation: 94+7=101
Exploring Operation: 94-73=21, Resulting Numbers: [7, 21]
Generated Node #0,4,2: 83:[7, 21] Operation: 94-73=21
Exploring Operation: 7+73=80, Resulting Numbers: [94, 80]
Generated Node #0,4,3: 83:[94, 80] Operation: 7+73=80
Exploring Operation: 73-7=66, Resulting Numbers: [94, 66]
Generated Node #0,4,4: 83:[94, 66] Operation: 73-7=66
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 83:[73, 87], Operations: ['69+4=73', '94-7=87']
Exploring Operation: 73+87=160, Resulting Numbers: [160]
160,83 unequal: No Solution
Exploring Operation: 73*87=6351, Resulting Numbers: [6351]
6351,83 unequal: No Solution
Exploring Operation: 87-73=14, Resulting Numbers: [14]
14,83 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 #0,4,3
Current State: 83:[94, 80], Operations: ['69+4=73', '7+73=80']
Exploring Operation: 94+80=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 94*80=7520, Resulting Numbers: [7520]
7520,83 unequal: No Solution
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,83 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 #0,4,1
Current State: 83:[73, 101], Operations: ['69+4=73', '94+7=101']
Exploring Operation: 73*101=7373, Resulting Numbers: [7373]
7373,83 unequal: No Solution
Exploring Operation: 73+101=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 101-73=28, Resulting Numbers: [28]
28,83 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 #0,4,4
Current State: 83:[94, 66], Operations: ['69+4=73', '73-7=66']
Exploring Operation: 94*66=6204, Resulting Numbers: [6204]
6204,83 unequal: No Solution
Exploring Operation: 94+66=160, Resulting Numbers: [160]
160,83 unequal: No Solution
Exploring Operation: 94-66=28, Resulting Numbers: [28]
28,83 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 #0,4,2
Current State: 83:[7, 21], Operations: ['69+4=73', '94-73=21']
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 7*21=147, Resulting Numbers: [147]
147,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
78,
70,
68,
13
] | 12 | [
"78/13=6",
"70-68=2",
"6*2=12"
] | Current State: 12:[78, 70, 68, 13], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [70, 68, 6]
Generated Node #2: [70, 68, 6] from Operation: 78/13=6
Current State: 12:[70, 68, 6], Operations: ['78/13=6']
Exploring Operation: 70-68=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 70-68=2
Current State: 12:[6, 2], Operations: ['78/13=6', '70-68=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[78, 70, 68, 13], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [78, 13, 2]
Generated Node #0,0: 12:[78, 13, 2] Operation: 70-68=2
Exploring Operation: 78-70=8, Resulting Numbers: [68, 13, 8]
Generated Node #0,1: 12:[68, 13, 8] Operation: 78-70=8
Exploring Operation: 78-68=10, Resulting Numbers: [70, 13, 10]
Generated Node #0,2: 12:[70, 13, 10] Operation: 78-68=10
Exploring Operation: 78-13=65, Resulting Numbers: [70, 68, 65]
Generated Node #0,3: 12:[70, 68, 65] Operation: 78-13=65
Exploring Operation: 78/13=6, Resulting Numbers: [70, 68, 6]
Generated Node #0,4: 12:[70, 68, 6] Operation: 78/13=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[68, 13, 8], Operations: ['78-70=8']
Exploring Operation: 68-8=60, Resulting Numbers: [13, 60]
Generated Node #0,1,0: 12:[13, 60] Operation: 68-8=60
Exploring Operation: 68-13=55, Resulting Numbers: [8, 55]
Generated Node #0,1,1: 12:[8, 55] Operation: 68-13=55
Exploring Operation: 13-8=5, Resulting Numbers: [68, 5]
Generated Node #0,1,2: 12:[68, 5] Operation: 13-8=5
Exploring Operation: 68+8=76, Resulting Numbers: [13, 76]
Generated Node #0,1,3: 12:[13, 76] Operation: 68+8=76
Exploring Operation: 13+8=21, Resulting Numbers: [68, 21]
Generated Node #0,1,4: 12:[68, 21] Operation: 13+8=21
Moving to Node #0,1,1
Current State: 12:[8, 55], Operations: ['78-70=8', '68-13=55']
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,12 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[13, 60], Operations: ['78-70=8', '68-8=60']
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,12 unequal: No Solution
Exploring Operation: 13*60=780, Resulting Numbers: [780]
780,12 unequal: No Solution
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[68, 5], Operations: ['78-70=8', '13-8=5']
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,12 unequal: No Solution
Exploring Operation: 68*5=340, Resulting Numbers: [340]
340,12 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[13, 76], Operations: ['78-70=8', '68+8=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 13*76=988, Resulting Numbers: [988]
988,12 unequal: No Solution
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,12 unequal: No Solution
Moving to Node #0,1,4
Current State: 12:[68, 21], Operations: ['78-70=8', '13+8=21']
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,12 unequal: No Solution
Exploring Operation: 68*21=1428, Resulting Numbers: [1428]
1428,12 unequal: No Solution
No 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: 12:[70, 13, 10], Operations: ['78-68=10']
Exploring Operation: 70/10=7, Resulting Numbers: [13, 7]
Generated Node #0,2,0: 12:[13, 7] Operation: 70/10=7
Exploring Operation: 70+10=80, Resulting Numbers: [13, 80]
Generated Node #0,2,1: 12:[13, 80] Operation: 70+10=80
Exploring Operation: 70-10=60, Resulting Numbers: [13, 60]
Generated Node #0,2,2: 12:[13, 60] Operation: 70-10=60
Exploring Operation: 13-10=3, Resulting Numbers: [70, 3]
Generated Node #0,2,3: 12:[70, 3] Operation: 13-10=3
Exploring Operation: 70-13=57, Resulting Numbers: [10, 57]
Generated Node #0,2,4: 12:[10, 57] Operation: 70-13=57
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[13, 7], Operations: ['78-68=10', '70/10=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 12:[10, 57], Operations: ['78-68=10', '70-13=57']
Exploring Operation: 10*57=570, Resulting Numbers: [570]
570,12 unequal: No Solution
Exploring Operation: 10+57=67, Resulting Numbers: [67]
67,12 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 12:[13, 60], Operations: ['78-68=10', '70-10=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,12 unequal: No Solution
Exploring Operation: 13*60=780, Resulting Numbers: [780]
780,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 12:[70, 3], Operations: ['78-68=10', '13-10=3']
Exploring Operation: 70*3=210, Resulting Numbers: [210]
210,12 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,12 unequal: No Solution
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 12:[13, 80], Operations: ['78-68=10', '70+10=80']
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,12 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,12 unequal: No Solution
Exploring Operation: 13*80=1040, Resulting Numbers: [1040]
1040,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[78, 13, 2], Operations: ['70-68=2']
Exploring Operation: 78/2=39, Resulting Numbers: [13, 39]
Generated Node #0,0,0: 12:[13, 39] Operation: 78/2=39
Exploring Operation: 13-2=11, Resulting Numbers: [78, 11]
Generated Node #0,0,1: 12:[78, 11] Operation: 13-2=11
Exploring Operation: 78-2=76, Resulting Numbers: [13, 76]
Generated Node #0,0,2: 12:[13, 76] Operation: 78-2=76
Exploring Operation: 78-13=65, Resulting Numbers: [2, 65]
Generated Node #0,0,3: 12:[2, 65] Operation: 78-13=65
Exploring Operation: 78/13=6, Resulting Numbers: [2, 6]
Generated Node #0,0,4: 12:[2, 6] Operation: 78/13=6
Moving to Node #0,0,4
Current State: 12:[2, 6], Operations: ['70-68=2', '78/13=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,12 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[78, 70, 68, 13], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [78, 13, 2]
Generated Node #0,0: 12:[78, 13, 2] Operation: 70-68=2
Moving to Node #0,0
Current State: 12:[78, 13, 2], Operations: ['70-68=2']
Exploring Operation: 78/13=6, Resulting Numbers: [2, 6]
Generated Node #0,0,4: 12:[2, 6] Operation: 78/13=6
Moving to Node #0,0,4
Current State: 12:[2, 6], Operations: ['70-68=2', '78/13=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.949653 | hs_5 | mult_heuristic |
[
30,
24,
76,
78
] | 78 | [
"78-30=48",
"48/24=2",
"76+2=78"
] | Current State: 78:[30, 24, 76, 78], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [24, 76, 48]
Generated Node #2: [24, 76, 48] from Operation: 78-30=48
Current State: 78:[24, 76, 48], Operations: ['78-30=48']
Exploring Operation: 48/24=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 48/24=2
Current State: 78:[76, 2], Operations: ['78-30=48', '48/24=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[30, 24, 76, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [30, 24, 2]
Generated Node #0,0: 78:[30, 24, 2] Operation: 78-76=2
Exploring Operation: 76-30=46, Resulting Numbers: [24, 78, 46]
Generated Node #0,1: 78:[24, 78, 46] Operation: 76-30=46
Exploring Operation: 30-24=6, Resulting Numbers: [76, 78, 6]
Generated Node #0,2: 78:[76, 78, 6] Operation: 30-24=6
Moving to Node #0,2
Current State: 78:[76, 78, 6], Operations: ['30-24=6']
Exploring Operation: 76+6=82, Resulting Numbers: [78, 82]
Generated Node #0,2,0: 78:[78, 82] Operation: 76+6=82
Exploring Operation: 78/6=13, Resulting Numbers: [76, 13]
Generated Node #0,2,1: 78:[76, 13] Operation: 78/6=13
Exploring Operation: 78-76=2, Resulting Numbers: [6, 2]
Generated Node #0,2,2: 78:[6, 2] Operation: 78-76=2
Moving to Node #0,0
Current State: 78:[30, 24, 2], Operations: ['78-76=2']
Exploring Operation: 30-2=28, Resulting Numbers: [24, 28]
Generated Node #0,0,0: 78:[24, 28] Operation: 30-2=28
Exploring Operation: 30-24=6, Resulting Numbers: [2, 6]
Generated Node #0,0,1: 78:[2, 6] Operation: 30-24=6
Exploring Operation: 30/2=15, Resulting Numbers: [24, 15]
Generated Node #0,0,2: 78:[24, 15] Operation: 30/2=15
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[2, 6], Operations: ['78-76=2', '30-24=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[24, 28], Operations: ['78-76=2', '30-2=28']
Exploring Operation: 24*28=672, Resulting Numbers: [672]
672,78 unequal: No Solution
Exploring Operation: 24+28=52, Resulting Numbers: [52]
52,78 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[24, 15], Operations: ['78-76=2', '30/2=15']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,78 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,78 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: 78:[24, 78, 46], Operations: ['76-30=46']
Exploring Operation: 24+46=70, Resulting Numbers: [78, 70]
Generated Node #0,1,0: 78:[78, 70] Operation: 24+46=70
Exploring Operation: 78-46=32, Resulting Numbers: [24, 32]
Generated Node #0,1,1: 78:[24, 32] Operation: 78-46=32
Exploring Operation: 46-24=22, Resulting Numbers: [78, 22]
Generated Node #0,1,2: 78:[78, 22] Operation: 46-24=22
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[78, 22], Operations: ['76-30=46', '46-24=22']
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,78 unequal: No Solution
Exploring Operation: 78*22=1716, Resulting Numbers: [1716]
1716,78 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[78, 70], Operations: ['76-30=46', '24+46=70']
Exploring Operation: 78+70=148, Resulting Numbers: [148]
148,78 unequal: No Solution
Exploring Operation: 78*70=5460, Resulting Numbers: [5460]
5460,78 unequal: No Solution
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[24, 32], Operations: ['76-30=46', '78-46=32']
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,78 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,78 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: 78:[6, 2], Operations: ['30-24=6', '78-76=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[76, 13], Operations: ['30-24=6', '78/6=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 76*13=988, Resulting Numbers: [988]
988,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[78, 82], Operations: ['30-24=6', '76+6=82']
Exploring Operation: 78+82=160, Resulting Numbers: [160]
160,78 unequal: No Solution
Exploring Operation: 78*82=6396, Resulting Numbers: [6396]
6396,78 unequal: No Solution
Exploring Operation: 82-78=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
78,
2,
78,
33
] | 33 | [
"78-78=0",
"2*0=0",
"33+0=33"
] | Current State: 33:[78, 2, 78, 33], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [2, 33, 0]
Generated Node #2: [2, 33, 0] from Operation: 78-78=0
Current State: 33:[2, 33, 0], Operations: ['78-78=0']
Exploring Operation: 2*0=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 2*0=0
Current State: 33:[33, 0], Operations: ['78-78=0', '2*0=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[78, 2, 78, 33], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [78, 33, 39]
Generated Node #0,0: 33:[78, 33, 39] Operation: 78/2=39
Exploring Operation: 78/2=39, Resulting Numbers: [78, 33, 39]
Generated Node #0,1: 33:[78, 33, 39] Operation: 78/2=39
Exploring Operation: 78-78=0, Resulting Numbers: [2, 33, 0]
Generated Node #0,2: 33:[2, 33, 0] Operation: 78-78=0
Exploring Operation: 78/78=1, Resulting Numbers: [2, 33, 1]
Generated Node #0,3: 33:[2, 33, 1] Operation: 78/78=1
Moving to Node #0,3
Current State: 33:[2, 33, 1], Operations: ['78/78=1']
Exploring Operation: 2/1=2, Resulting Numbers: [33, 2]
Generated Node #0,3,0: 33:[33, 2] Operation: 2/1=2
Exploring Operation: 33*1=33, Resulting Numbers: [2, 33]
Generated Node #0,3,1: 33:[2, 33] Operation: 33*1=33
Exploring Operation: 2+1=3, Resulting Numbers: [33, 3]
Generated Node #0,3,2: 33:[33, 3] Operation: 2+1=3
Exploring Operation: 2*1=2, Resulting Numbers: [33, 2]
Generated Node #0,3,3: 33:[33, 2] Operation: 2*1=2
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 33:[33, 3], Operations: ['78/78=1', '2+1=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,33 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 33:[33, 2], Operations: ['78/78=1', '2/1=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 33:[2, 33], Operations: ['78/78=1', '33*1=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[33, 2], Operations: ['78/78=1', '2*1=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 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: 33:[2, 33, 0], Operations: ['78-78=0']
Exploring Operation: 2-0=2, Resulting Numbers: [33, 2]
Generated Node #0,2,0: 33:[33, 2] Operation: 2-0=2
Exploring Operation: 33-0=33, Resulting Numbers: [2, 33]
Generated Node #0,2,1: 33:[2, 33] Operation: 33-0=33
Exploring Operation: 2+0=2, Resulting Numbers: [33, 2]
Generated Node #0,2,2: 33:[33, 2] Operation: 2+0=2
Exploring Operation: 33+0=33, Resulting Numbers: [2, 33]
Generated Node #0,2,3: 33:[2, 33] Operation: 33+0=33
Moving to Node #0,1
Current State: 33:[78, 33, 39], Operations: ['78/2=39']
Exploring Operation: 78-39=39, Resulting Numbers: [33, 39]
Generated Node #0,1,0: 33:[33, 39] Operation: 78-39=39
Exploring Operation: 78/39=2, Resulting Numbers: [33, 2]
Generated Node #0,1,1: 33:[33, 2] Operation: 78/39=2
Exploring Operation: 39-33=6, Resulting Numbers: [78, 6]
Generated Node #0,1,2: 33:[78, 6] Operation: 39-33=6
Exploring Operation: 78-33=45, Resulting Numbers: [39, 45]
Generated Node #0,1,3: 33:[39, 45] Operation: 78-33=45
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[33, 2], Operations: ['78/2=39', '78/39=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[33, 39], Operations: ['78/2=39', '78-39=39']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,33 unequal: No Solution
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 33:[39, 45], Operations: ['78/2=39', '78-33=45']
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,33 unequal: No Solution
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[78, 6], Operations: ['78/2=39', '39-33=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,33 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,33 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: 33:[78, 33, 39], Operations: ['78/2=39']
Exploring Operation: 78-33=45, Resulting Numbers: [39, 45]
Generated Node #0,0,0: 33:[39, 45] Operation: 78-33=45
Exploring Operation: 39-33=6, Resulting Numbers: [78, 6]
Generated Node #0,0,1: 33:[78, 6] Operation: 39-33=6
Exploring Operation: 78/39=2, Resulting Numbers: [33, 2]
Generated Node #0,0,2: 33:[33, 2] Operation: 78/39=2
Exploring Operation: 78-39=39, Resulting Numbers: [33, 39]
Generated Node #0,0,3: 33:[33, 39] Operation: 78-39=39
Moving to Node #0,2,0
Current State: 33:[33, 2], Operations: ['78-78=0', '2-0=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[33, 2], Operations: ['78-78=0', '2+0=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[2, 33], Operations: ['78-78=0', '33-0=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[33, 2], Operations: ['78/2=39', '78/39=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[2, 33], Operations: ['78-78=0', '33+0=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,33 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[33, 39], Operations: ['78/2=39', '78-39=39']
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,33 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[39, 45], Operations: ['78/2=39', '78-33=45']
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[78, 6], Operations: ['78/2=39', '39-33=6']
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,33 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,33 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,33 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
8,
13,
88,
5
] | 89 | [
"13-8=5",
"5/5=1",
"88+1=89"
] | Current State: 89:[8, 13, 88, 5], Operations: []
Exploring Operation: 13-8=5, Resulting Numbers: [88, 5, 5]
Generated Node #2: [88, 5, 5] from Operation: 13-8=5
Current State: 89:[88, 5, 5], Operations: ['13-8=5']
Exploring Operation: 5/5=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 5/5=1
Current State: 89:[88, 1], Operations: ['13-8=5', '5/5=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[8, 13, 88, 5], Operations: []
Exploring Operation: 8*5=40, Resulting Numbers: [13, 88, 40]
Generated Node #0,0: 89:[13, 88, 40] Operation: 8*5=40
Exploring Operation: 8+13=21, Resulting Numbers: [88, 5, 21]
Generated Node #0,1: 89:[88, 5, 21] Operation: 8+13=21
Exploring Operation: 13*5=65, Resulting Numbers: [8, 88, 65]
Generated Node #0,2: 89:[8, 88, 65] Operation: 13*5=65
Exploring Operation: 8*13=104, Resulting Numbers: [88, 5, 104]
Generated Node #0,3: 89:[88, 5, 104] Operation: 8*13=104
Exploring Operation: 8+5=13, Resulting Numbers: [13, 88, 13]
Generated Node #0,4: 89:[13, 88, 13] Operation: 8+5=13
Moving to Node #0,3
Current State: 89:[88, 5, 104], Operations: ['8*13=104']
Exploring Operation: 104-88=16, Resulting Numbers: [5, 16]
Generated Node #0,3,0: 89:[5, 16] Operation: 104-88=16
Exploring Operation: 5+104=109, Resulting Numbers: [88, 109]
Generated Node #0,3,1: 89:[88, 109] Operation: 5+104=109
Exploring Operation: 88+5=93, Resulting Numbers: [104, 93]
Generated Node #0,3,2: 89:[104, 93] Operation: 88+5=93
Exploring Operation: 88-5=83, Resulting Numbers: [104, 83]
Generated Node #0,3,3: 89:[104, 83] Operation: 88-5=83
Exploring Operation: 104-5=99, Resulting Numbers: [88, 99]
Generated Node #0,3,4: 89:[88, 99] Operation: 104-5=99
Moving to Node #0,2
Current State: 89:[8, 88, 65], Operations: ['13*5=65']
Exploring Operation: 8+65=73, Resulting Numbers: [88, 73]
Generated Node #0,2,0: 89:[88, 73] Operation: 8+65=73
Exploring Operation: 65-8=57, Resulting Numbers: [88, 57]
Generated Node #0,2,1: 89:[88, 57] Operation: 65-8=57
Exploring Operation: 88/8=11, Resulting Numbers: [65, 11]
Generated Node #0,2,2: 89:[65, 11] Operation: 88/8=11
Exploring Operation: 88-8=80, Resulting Numbers: [65, 80]
Generated Node #0,2,3: 89:[65, 80] Operation: 88-8=80
Exploring Operation: 8+88=96, Resulting Numbers: [65, 96]
Generated Node #0,2,4: 89:[65, 96] Operation: 8+88=96
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[88, 73], Operations: ['13*5=65', '8+65=73']
Exploring Operation: 88+73=161, Resulting Numbers: [161]
161,89 unequal: No Solution
Exploring Operation: 88-73=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 88*73=6424, Resulting Numbers: [6424]
6424,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 89:[65, 96], Operations: ['13*5=65', '8+88=96']
Exploring Operation: 65+96=161, Resulting Numbers: [161]
161,89 unequal: No Solution
Exploring Operation: 65*96=6240, Resulting Numbers: [6240]
6240,89 unequal: No Solution
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[88, 57], Operations: ['13*5=65', '65-8=57']
Exploring Operation: 88*57=5016, Resulting Numbers: [5016]
5016,89 unequal: No Solution
Exploring Operation: 88+57=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 88-57=31, Resulting Numbers: [31]
31,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 89:[65, 80], Operations: ['13*5=65', '88-8=80']
Exploring Operation: 65+80=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 65*80=5200, Resulting Numbers: [5200]
5200,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 89:[65, 11], Operations: ['13*5=65', '88/8=11']
Exploring Operation: 65*11=715, Resulting Numbers: [715]
715,89 unequal: No Solution
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,89 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: 89:[13, 88, 40], Operations: ['8*5=40']
Exploring Operation: 88+40=128, Resulting Numbers: [13, 128]
Generated Node #0,0,0: 89:[13, 128] Operation: 88+40=128
Exploring Operation: 88-13=75, Resulting Numbers: [40, 75]
Generated Node #0,0,1: 89:[40, 75] Operation: 88-13=75
Exploring Operation: 13+40=53, Resulting Numbers: [88, 53]
Generated Node #0,0,2: 89:[88, 53] Operation: 13+40=53
Exploring Operation: 40-13=27, Resulting Numbers: [88, 27]
Generated Node #0,0,3: 89:[88, 27] Operation: 40-13=27
Exploring Operation: 13+88=101, Resulting Numbers: [40, 101]
Generated Node #0,0,4: 89:[40, 101] Operation: 13+88=101
Moving to Node #0,1
Current State: 89:[88, 5, 21], Operations: ['8+13=21']
Exploring Operation: 88+5=93, Resulting Numbers: [21, 93]
Generated Node #0,1,0: 89:[21, 93] Operation: 88+5=93
Exploring Operation: 21-5=16, Resulting Numbers: [88, 16]
Generated Node #0,1,1: 89:[88, 16] Operation: 21-5=16
Exploring Operation: 5*21=105, Resulting Numbers: [88, 105]
Generated Node #0,1,2: 89:[88, 105] Operation: 5*21=105
Exploring Operation: 88-5=83, Resulting Numbers: [21, 83]
Generated Node #0,1,3: 89:[21, 83] Operation: 88-5=83
Exploring Operation: 5+21=26, Resulting Numbers: [88, 26]
Generated Node #0,1,4: 89:[88, 26] Operation: 5+21=26
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[88, 105], Operations: ['8+13=21', '5*21=105']
Exploring Operation: 88+105=193, Resulting Numbers: [193]
193,89 unequal: No Solution
Exploring Operation: 88*105=9240, Resulting Numbers: [9240]
9240,89 unequal: No Solution
Exploring Operation: 105-88=17, Resulting Numbers: [17]
17,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 89:[88, 26], Operations: ['8+13=21', '5+21=26']
Exploring Operation: 88*26=2288, Resulting Numbers: [2288]
2288,89 unequal: No Solution
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[21, 93], Operations: ['8+13=21', '88+5=93']
Exploring Operation: 21+93=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Exploring Operation: 21*93=1953, Resulting Numbers: [1953]
1953,89 unequal: No Solution
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[88, 16], Operations: ['8+13=21', '21-5=16']
Exploring Operation: 88*16=1408, Resulting Numbers: [1408]
1408,89 unequal: No Solution
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,89 unequal: No Solution
Exploring Operation: 88+16=104, Resulting Numbers: [104]
104,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 89:[21, 83], Operations: ['8+13=21', '88-5=83']
Exploring Operation: 83-21=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Exploring Operation: 21+83=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 21*83=1743, Resulting Numbers: [1743]
1743,89 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:[13, 88, 13], Operations: ['8+5=13']
Exploring Operation: 13+13=26, Resulting Numbers: [88, 26]
Generated Node #0,4,0: 89:[88, 26] Operation: 13+13=26
Exploring Operation: 13/13=1, Resulting Numbers: [88, 1]
Generated Node #0,4,1: 89:[88, 1] Operation: 13/13=1
Exploring Operation: 13*13=169, Resulting Numbers: [88, 169]
Generated Node #0,4,2: 89:[88, 169] Operation: 13*13=169
Exploring Operation: 13+88=101, Resulting Numbers: [13, 101]
Generated Node #0,4,3: 89:[13, 101] Operation: 13+88=101
Exploring Operation: 88+13=101, Resulting Numbers: [13, 101]
Generated Node #0,4,4: 89:[13, 101] Operation: 88+13=101
Moving to Node #0,3,4
Current State: 89:[88, 99], Operations: ['8*13=104', '104-5=99']
Exploring Operation: 88+99=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Exploring Operation: 99-88=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 88*99=8712, Resulting Numbers: [8712]
8712,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[104, 93], Operations: ['8*13=104', '88+5=93']
Exploring Operation: 104*93=9672, Resulting Numbers: [9672]
9672,89 unequal: No Solution
Exploring Operation: 104+93=197, Resulting Numbers: [197]
197,89 unequal: No Solution
Exploring Operation: 104-93=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[88, 109], Operations: ['8*13=104', '5+104=109']
Exploring Operation: 88+109=197, Resulting Numbers: [197]
197,89 unequal: No Solution
Exploring Operation: 88*109=9592, Resulting Numbers: [9592]
9592,89 unequal: No Solution
Exploring Operation: 109-88=21, Resulting Numbers: [21]
21,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[104, 83], Operations: ['8*13=104', '88-5=83']
Exploring Operation: 104-83=21, Resulting Numbers: [21]
21,89 unequal: No Solution
Exploring Operation: 104*83=8632, Resulting Numbers: [8632]
8632,89 unequal: No Solution
Exploring Operation: 104+83=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[88, 53], Operations: ['8*5=40', '13+40=53']
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Exploring Operation: 88*53=4664, Resulting Numbers: [4664]
4664,89 unequal: No Solution
Exploring Operation: 88+53=141, Resulting Numbers: [141]
141,89 unequal: No Solution
Moving to Node #0,0,4
Current State: 89:[40, 101], Operations: ['8*5=40', '13+88=101']
Exploring Operation: 101-40=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 40+101=141, Resulting Numbers: [141]
141,89 unequal: No Solution
Exploring Operation: 40*101=4040, Resulting Numbers: [4040]
4040,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[88, 27], Operations: ['8*5=40', '40-13=27']
Exploring Operation: 88+27=115, Resulting Numbers: [115]
115,89 unequal: No Solution
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 88*27=2376, Resulting Numbers: [2376]
2376,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[40, 75], Operations: ['8*5=40', '88-13=75']
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,89 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Exploring Operation: 40*75=3000, Resulting Numbers: [3000]
3000,89 unequal: No Solution
Moving to Node #0,4,0
Current State: 89:[88, 26], Operations: ['8+5=13', '13+13=26']
Exploring Operation: 88*26=2288, Resulting Numbers: [2288]
2288,89 unequal: No Solution
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[88, 169], Operations: ['8+5=13', '13*13=169']
Exploring Operation: 88*169=14872, Resulting Numbers: [14872]
14872,89 unequal: No Solution
Exploring Operation: 169-88=81, Resulting Numbers: [81]
81,89 unequal: No Solution
Exploring Operation: 88+169=257, Resulting Numbers: [257]
257,89 unequal: No Solution
Moving to Node #0,4,4
Current State: 89:[13, 101], Operations: ['8+5=13', '88+13=101']
Exploring Operation: 101-13=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 13+101=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Exploring Operation: 13*101=1313, Resulting Numbers: [1313]
1313,89 unequal: No Solution
Moving to Node #0,4,3
Current State: 89:[13, 101], Operations: ['8+5=13', '13+88=101']
Exploring Operation: 101-13=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 13*101=1313, Resulting Numbers: [1313]
1313,89 unequal: No Solution
Exploring Operation: 13+101=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Moving to Node #0,4,1
Current State: 89:[88, 1], Operations: ['8+5=13', '13/13=1']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,89 unequal: No Solution
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[8, 13, 88, 5], Operations: []
Exploring Operation: 8+5=13, Resulting Numbers: [13, 88, 13]
Generated Node #0,4: 89:[13, 88, 13] Operation: 8+5=13
Moving to Node #0,4
Current State: 89:[13, 88, 13], Operations: ['8+5=13']
Exploring Operation: 13/13=1, Resulting Numbers: [88, 1]
Generated Node #0,4,1: 89:[88, 1] Operation: 13/13=1
Moving to Node #0,4,1
Current State: 89:[88, 1], Operations: ['8+5=13', '13/13=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 0.911458 | hs_5 | mult_heuristic |
[
5,
96,
31,
2
] | 26 | [
"96-31=65",
"65/5=13",
"2*13=26"
] | Current State: 26:[5, 96, 31, 2], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [5, 2, 65]
Generated Node #2: [5, 2, 65] from Operation: 96-31=65
Current State: 26:[5, 2, 65], Operations: ['96-31=65']
Exploring Operation: 65/5=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 65/5=13
Current State: 26:[2, 13], Operations: ['96-31=65', '65/5=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[5, 96, 31, 2], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [5, 2, 65]
Generated Node #0,0: 26:[5, 2, 65] Operation: 96-31=65
Exploring Operation: 96-5=91, Resulting Numbers: [31, 2, 91]
Generated Node #0,1: 26:[31, 2, 91] Operation: 96-5=91
Exploring Operation: 96/2=48, Resulting Numbers: [5, 31, 48]
Generated Node #0,2: 26:[5, 31, 48] Operation: 96/2=48
Exploring Operation: 31-5=26, Resulting Numbers: [96, 2, 26]
Generated Node #0,3: 26:[96, 2, 26] Operation: 31-5=26
Moving to Node #0,2
Current State: 26:[5, 31, 48], Operations: ['96/2=48']
Exploring Operation: 48-5=43, Resulting Numbers: [31, 43]
Generated Node #0,2,0: 26:[31, 43] Operation: 48-5=43
Exploring Operation: 31-5=26, Resulting Numbers: [48, 26]
Generated Node #0,2,1: 26:[48, 26] Operation: 31-5=26
Exploring Operation: 48-31=17, Resulting Numbers: [5, 17]
Generated Node #0,2,2: 26:[5, 17] Operation: 48-31=17
Exploring Operation: 5+31=36, Resulting Numbers: [48, 36]
Generated Node #0,2,3: 26:[48, 36] Operation: 5+31=36
Moving to Node #0,0
Current State: 26:[5, 2, 65], Operations: ['96-31=65']
Exploring Operation: 65/5=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 26:[2, 13] Operation: 65/5=13
Exploring Operation: 5-2=3, Resulting Numbers: [65, 3]
Generated Node #0,0,1: 26:[65, 3] Operation: 5-2=3
Exploring Operation: 65-2=63, Resulting Numbers: [5, 63]
Generated Node #0,0,2: 26:[5, 63] Operation: 65-2=63
Exploring Operation: 65-5=60, Resulting Numbers: [2, 60]
Generated Node #0,0,3: 26:[2, 60] Operation: 65-5=60
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[2, 13], Operations: ['96-31=65', '65/5=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[5, 96, 31, 2], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [5, 2, 65]
Generated Node #0,0: 26:[5, 2, 65] Operation: 96-31=65
Moving to Node #0,0
Current State: 26:[5, 2, 65], Operations: ['96-31=65']
Exploring Operation: 65/5=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 26:[2, 13] Operation: 65/5=13
Moving to Node #0,0,0
Current State: 26:[2, 13], Operations: ['96-31=65', '65/5=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
21,
41,
42,
23
] | 40 | [
"23-21=2",
"41*2=82",
"82-42=40"
] | Current State: 40:[21, 41, 42, 23], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [41, 42, 2]
Generated Node #2: [41, 42, 2] from Operation: 23-21=2
Current State: 40:[41, 42, 2], Operations: ['23-21=2']
Exploring Operation: 41*2=82, Resulting Numbers: [42, 82]
Generated Node #3: [42, 82] from Operation: 41*2=82
Current State: 40:[42, 82], Operations: ['23-21=2', '41*2=82']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[21, 41, 42, 23], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [41, 42, 2]
Generated Node #0,0: 40:[41, 42, 2] Operation: 23-21=2
Exploring Operation: 42-23=19, Resulting Numbers: [21, 41, 19]
Generated Node #0,1: 40:[21, 41, 19] Operation: 42-23=19
Exploring Operation: 41-21=20, Resulting Numbers: [42, 23, 20]
Generated Node #0,2: 40:[42, 23, 20] Operation: 41-21=20
Exploring Operation: 42/21=2, Resulting Numbers: [41, 23, 2]
Generated Node #0,3: 40:[41, 23, 2] Operation: 42/21=2
Moving to Node #0,0
Current State: 40:[41, 42, 2], Operations: ['23-21=2']
Exploring Operation: 42/2=21, Resulting Numbers: [41, 21]
Generated Node #0,0,0: 40:[41, 21] Operation: 42/2=21
Exploring Operation: 42-2=40, Resulting Numbers: [41, 40]
Generated Node #0,0,1: 40:[41, 40] Operation: 42-2=40
Exploring Operation: 41-2=39, Resulting Numbers: [42, 39]
Generated Node #0,0,2: 40:[42, 39] Operation: 41-2=39
Exploring Operation: 42-41=1, Resulting Numbers: [2, 1]
Generated Node #0,0,3: 40:[2, 1] Operation: 42-41=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[41, 40], Operations: ['23-21=2', '42-2=40']
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,40 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,40 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 #0,0,3
Current State: 40:[2, 1], Operations: ['23-21=2', '42-41=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,40 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 #0,0,0
Current State: 40:[41, 21], Operations: ['23-21=2', '42/2=21']
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,40 unequal: No Solution
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,40 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 #0,0,2
Current State: 40:[42, 39], Operations: ['23-21=2', '41-2=39']
Exploring Operation: 42*39=1638, Resulting Numbers: [1638]
1638,40 unequal: No Solution
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,40 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: 40:[21, 41, 19], Operations: ['42-23=19']
Exploring Operation: 21+19=40, Resulting Numbers: [41, 40]
Generated Node #0,1,0: 40:[41, 40] Operation: 21+19=40
Exploring Operation: 41-19=22, Resulting Numbers: [21, 22]
Generated Node #0,1,1: 40:[21, 22] Operation: 41-19=22
Exploring Operation: 41-21=20, Resulting Numbers: [19, 20]
Generated Node #0,1,2: 40:[19, 20] Operation: 41-21=20
Exploring Operation: 21-19=2, Resulting Numbers: [41, 2]
Generated Node #0,1,3: 40:[41, 2] Operation: 21-19=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[41, 40], Operations: ['42-23=19', '21+19=40']
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,40 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,40 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:[19, 20], Operations: ['42-23=19', '41-21=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,40 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,40 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:[41, 2], Operations: ['42-23=19', '21-19=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,40 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[21, 22], Operations: ['42-23=19', '41-19=22']
Exploring Operation: 21*22=462, Resulting Numbers: [462]
462,40 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,40 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: 40:[41, 23, 2], Operations: ['42/21=2']
Exploring Operation: 41-2=39, Resulting Numbers: [23, 39]
Generated Node #0,3,0: 40:[23, 39] Operation: 41-2=39
Exploring Operation: 23-2=21, Resulting Numbers: [41, 21]
Generated Node #0,3,1: 40:[41, 21] Operation: 23-2=21
Exploring Operation: 41-23=18, Resulting Numbers: [2, 18]
Generated Node #0,3,2: 40:[2, 18] Operation: 41-23=18
Exploring Operation: 41+2=43, Resulting Numbers: [23, 43]
Generated Node #0,3,3: 40:[23, 43] Operation: 41+2=43
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 40:[41, 21], Operations: ['42/21=2', '23-2=21']
Exploring Operation: 41*21=861, Resulting Numbers: [861]
861,40 unequal: No Solution
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,40 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:[2, 18], Operations: ['42/21=2', '41-23=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 40:[23, 39], Operations: ['42/21=2', '41-2=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,40 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,40 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:[23, 43], Operations: ['42/21=2', '41+2=43']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 23+43=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 23*43=989, Resulting Numbers: [989]
989,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 40:[42, 23, 20], Operations: ['41-21=20']
Exploring Operation: 23-20=3, Resulting Numbers: [42, 3]
Generated Node #0,2,0: 40:[42, 3] Operation: 23-20=3
Exploring Operation: 42-20=22, Resulting Numbers: [23, 22]
Generated Node #0,2,1: 40:[23, 22] Operation: 42-20=22
Exploring Operation: 23+20=43, Resulting Numbers: [42, 43]
Generated Node #0,2,2: 40:[42, 43] Operation: 23+20=43
Exploring Operation: 42-23=19, Resulting Numbers: [20, 19]
Generated Node #0,2,3: 40:[20, 19] Operation: 42-23=19
Moving to Node #0,2,3
Current State: 40:[20, 19], Operations: ['41-21=20', '42-23=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,40 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[42, 3], Operations: ['41-21=20', '23-20=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,40 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[42, 43], Operations: ['41-21=20', '23+20=43']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,40 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[23, 22], Operations: ['41-21=20', '42-20=22']
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 23*22=506, Resulting Numbers: [506]
506,40 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
57,
18,
20,
4
] | 15 | [
"57+18=75",
"20/4=5",
"75/5=15"
] | Current State: 15:[57, 18, 20, 4], Operations: []
Exploring Operation: 57+18=75, Resulting Numbers: [20, 4, 75]
Generated Node #2: [20, 4, 75] from Operation: 57+18=75
Current State: 15:[20, 4, 75], Operations: ['57+18=75']
Exploring Operation: 20/4=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 20/4=5
Current State: 15:[75, 5], Operations: ['57+18=75', '20/4=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[57, 18, 20, 4], Operations: []
Exploring Operation: 20/4=5, Resulting Numbers: [57, 18, 5]
Generated Node #0,0: 15:[57, 18, 5] Operation: 20/4=5
Exploring Operation: 57-18=39, Resulting Numbers: [20, 4, 39]
Generated Node #0,1: 15:[20, 4, 39] Operation: 57-18=39
Exploring Operation: 20-18=2, Resulting Numbers: [57, 4, 2]
Generated Node #0,2: 15:[57, 4, 2] Operation: 20-18=2
Exploring Operation: 57-20=37, Resulting Numbers: [18, 4, 37]
Generated Node #0,3: 15:[18, 4, 37] Operation: 57-20=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[18, 4, 37], Operations: ['57-20=37']
Exploring Operation: 37-18=19, Resulting Numbers: [4, 19]
Generated Node #0,3,0: 15:[4, 19] Operation: 37-18=19
Exploring Operation: 18+4=22, Resulting Numbers: [37, 22]
Generated Node #0,3,1: 15:[37, 22] Operation: 18+4=22
Exploring Operation: 18-4=14, Resulting Numbers: [37, 14]
Generated Node #0,3,2: 15:[37, 14] Operation: 18-4=14
Exploring Operation: 37-4=33, Resulting Numbers: [18, 33]
Generated Node #0,3,3: 15:[18, 33] Operation: 37-4=33
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 15:[4, 19], Operations: ['57-20=37', '37-18=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[57, 18, 20, 4], Operations: []
Exploring Operation: 57-20=37, Resulting Numbers: [18, 4, 37]
Generated Node #0,3: 15:[18, 4, 37] Operation: 57-20=37
Moving to Node #0,3
Current State: 15:[18, 4, 37], Operations: ['57-20=37']
Exploring Operation: 37-18=19, Resulting Numbers: [4, 19]
Generated Node #0,3,0: 15:[4, 19] Operation: 37-18=19
Moving to Node #0,3,0
Current State: 15:[4, 19], Operations: ['57-20=37', '37-18=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
29,
43,
46,
49
] | 17 | [
"43-29=14",
"49-46=3",
"14+3=17"
] | Current State: 17:[29, 43, 46, 49], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [46, 49, 14]
Generated Node #2: [46, 49, 14] from Operation: 43-29=14
Current State: 17:[46, 49, 14], Operations: ['43-29=14']
Exploring Operation: 49-46=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 49-46=3
Current State: 17:[14, 3], Operations: ['43-29=14', '49-46=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[29, 43, 46, 49], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [29, 46, 6]
Generated Node #0,0: 17:[29, 46, 6] Operation: 49-43=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[29, 46, 6], Operations: ['49-43=6']
Exploring Operation: 46-29=17, Resulting Numbers: [6, 17]
Generated Node #0,0,0: 17:[6, 17] Operation: 46-29=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[6, 17], Operations: ['49-43=6', '46-29=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
54,
9,
9,
38
] | 15 | [
"54-38=16",
"9/9=1",
"16-1=15"
] | Current State: 15:[54, 9, 9, 38], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [9, 9, 16]
Generated Node #2: [9, 9, 16] from Operation: 54-38=16
Current State: 15:[9, 9, 16], Operations: ['54-38=16']
Exploring Operation: 9/9=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 9/9=1
Current State: 15:[16, 1], Operations: ['54-38=16', '9/9=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[54, 9, 9, 38], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [9, 38, 6]
Generated Node #0,0: 15:[9, 38, 6] Operation: 54/9=6
Exploring Operation: 54/9=6, Resulting Numbers: [9, 38, 6]
Generated Node #0,1: 15:[9, 38, 6] Operation: 54/9=6
Exploring Operation: 54-38=16, Resulting Numbers: [9, 9, 16]
Generated Node #0,2: 15:[9, 9, 16] Operation: 54-38=16
Moving to Node #0,2
Current State: 15:[9, 9, 16], Operations: ['54-38=16']
Exploring Operation: 9+9=18, Resulting Numbers: [16, 18]
Generated Node #0,2,0: 15:[16, 18] Operation: 9+9=18
Exploring Operation: 9/9=1, Resulting Numbers: [16, 1]
Generated Node #0,2,1: 15:[16, 1] Operation: 9/9=1
Exploring Operation: 9-9=0, Resulting Numbers: [16, 0]
Generated Node #0,2,2: 15:[16, 0] Operation: 9-9=0
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[16, 1], Operations: ['54-38=16', '9/9=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[54, 9, 9, 38], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [9, 9, 16]
Generated Node #0,2: 15:[9, 9, 16] Operation: 54-38=16
Moving to Node #0,2
Current State: 15:[9, 9, 16], Operations: ['54-38=16']
Exploring Operation: 9/9=1, Resulting Numbers: [16, 1]
Generated Node #0,2,1: 15:[16, 1] Operation: 9/9=1
Moving to Node #0,2,1
Current State: 15:[16, 1], Operations: ['54-38=16', '9/9=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
60,
10,
32,
25
] | 74 | [
"32*25=800",
"800-60=740",
"740/10=74"
] | Current State: 74:[60, 10, 32, 25], Operations: []
Exploring Operation: 32*25=800, Resulting Numbers: [60, 10, 800]
Generated Node #2: [60, 10, 800] from Operation: 32*25=800
Current State: 74:[60, 10, 800], Operations: ['32*25=800']
Exploring Operation: 800-60=740, Resulting Numbers: [10, 740]
Generated Node #3: [10, 740] from Operation: 800-60=740
Current State: 74:[10, 740], Operations: ['32*25=800', '800-60=740']
Exploring Operation: 740/10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[60, 10, 32, 25], Operations: []
Exploring Operation: 60-25=35, Resulting Numbers: [10, 32, 35]
Generated Node #0,0: 74:[10, 32, 35] Operation: 60-25=35
Moving to Node #0,0
Current State: 74:[10, 32, 35], Operations: ['60-25=35']
Exploring Operation: 10+32=42, Resulting Numbers: [35, 42]
Generated Node #0,0,0: 74:[35, 42] Operation: 10+32=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[35, 42], Operations: ['60-25=35', '10+32=42']
Exploring Operation: 35+42=77, Resulting Numbers: [77]
77,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
10,
57,
94
] | 30 | [
"15*94=1410",
"57-10=47",
"1410/47=30"
] | Current State: 30:[15, 10, 57, 94], Operations: []
Exploring Operation: 15*94=1410, Resulting Numbers: [10, 57, 1410]
Generated Node #2: [10, 57, 1410] from Operation: 15*94=1410
Current State: 30:[10, 57, 1410], Operations: ['15*94=1410']
Exploring Operation: 57-10=47, Resulting Numbers: [1410, 47]
Generated Node #3: [1410, 47] from Operation: 57-10=47
Current State: 30:[1410, 47], Operations: ['15*94=1410', '57-10=47']
Exploring Operation: 1410/47=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[15, 10, 57, 94], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [10, 94, 42]
Generated Node #0,0: 30:[10, 94, 42] Operation: 57-15=42
Exploring Operation: 94-57=37, Resulting Numbers: [15, 10, 37]
Generated Node #0,1: 30:[15, 10, 37] Operation: 94-57=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[15, 10, 37], Operations: ['94-57=37']
Exploring Operation: 15-10=5, Resulting Numbers: [37, 5]
Generated Node #0,1,0: 30:[37, 5] Operation: 15-10=5
Exploring Operation: 37-10=27, Resulting Numbers: [15, 27]
Generated Node #0,1,1: 30:[15, 27] Operation: 37-10=27
Moving to Node #0,1,1
Current State: 30:[15, 27], Operations: ['94-57=37', '37-10=27']
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[37, 5], Operations: ['94-57=37', '15-10=5']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,30 unequal: No Solution
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,30 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 #0,0
Current State: 30:[10, 94, 42], Operations: ['57-15=42']
Exploring Operation: 94-42=52, Resulting Numbers: [10, 52]
Generated Node #0,0,0: 30:[10, 52] Operation: 94-42=52
Exploring Operation: 94-10=84, Resulting Numbers: [42, 84]
Generated Node #0,0,1: 30:[42, 84] Operation: 94-10=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[10, 52], Operations: ['57-15=42', '94-42=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[42, 84], Operations: ['57-15=42', '94-10=84']
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
31,
36,
5,
21
] | 93 | [
"31+36=67",
"5+21=26",
"67+26=93"
] | Current State: 93:[31, 36, 5, 21], Operations: []
Exploring Operation: 31+36=67, Resulting Numbers: [5, 21, 67]
Generated Node #2: [5, 21, 67] from Operation: 31+36=67
Current State: 93:[5, 21, 67], Operations: ['31+36=67']
Exploring Operation: 5+21=26, Resulting Numbers: [67, 26]
Generated Node #3: [67, 26] from Operation: 5+21=26
Current State: 93:[67, 26], Operations: ['31+36=67', '5+21=26']
Exploring Operation: 67+26=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[31, 36, 5, 21], Operations: []
Exploring Operation: 5+21=26, Resulting Numbers: [31, 36, 26]
Generated Node #0,0: 93:[31, 36, 26] Operation: 5+21=26
Exploring Operation: 36-5=31, Resulting Numbers: [31, 21, 31]
Generated Node #0,1: 93:[31, 21, 31] Operation: 36-5=31
Exploring Operation: 36-31=5, Resulting Numbers: [5, 21, 5]
Generated Node #0,2: 93:[5, 21, 5] Operation: 36-31=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[31, 36, 26], Operations: ['5+21=26']
Exploring Operation: 31-26=5, Resulting Numbers: [36, 5]
Generated Node #0,0,0: 93:[36, 5] Operation: 31-26=5
Exploring Operation: 36-26=10, Resulting Numbers: [31, 10]
Generated Node #0,0,1: 93:[31, 10] Operation: 36-26=10
Exploring Operation: 36-31=5, Resulting Numbers: [26, 5]
Generated Node #0,0,2: 93:[26, 5] Operation: 36-31=5
Moving to Node #0,0,0
Current State: 93:[36, 5], Operations: ['5+21=26', '31-26=5']
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,93 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[31, 10], Operations: ['5+21=26', '36-26=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,93 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[26, 5], Operations: ['5+21=26', '36-31=5']
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,93 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,93 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
Current State: 93:[31, 21, 31], Operations: ['36-5=31']
Exploring Operation: 31/31=1, Resulting Numbers: [21, 1]
Generated Node #0,1,0: 93:[21, 1] Operation: 31/31=1
Exploring Operation: 31-21=10, Resulting Numbers: [31, 10]
Generated Node #0,1,1: 93:[31, 10] Operation: 31-21=10
Exploring Operation: 31-21=10, Resulting Numbers: [31, 10]
Generated Node #0,1,2: 93:[31, 10] Operation: 31-21=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[31, 10], Operations: ['36-5=31', '31-21=10']
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,93 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[31, 10], Operations: ['36-5=31', '31-21=10']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[21, 1], Operations: ['36-5=31', '31/31=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[5, 21, 5], Operations: ['36-31=5']
Exploring Operation: 5/5=1, Resulting Numbers: [21, 1]
Generated Node #0,2,0: 93:[21, 1] Operation: 5/5=1
Exploring Operation: 21+5=26, Resulting Numbers: [5, 26]
Generated Node #0,2,1: 93:[5, 26] Operation: 21+5=26
Exploring Operation: 5+21=26, Resulting Numbers: [5, 26]
Generated Node #0,2,2: 93:[5, 26] Operation: 5+21=26
Moving to Node #0,2,1
Current State: 93:[5, 26], Operations: ['36-31=5', '21+5=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,93 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[5, 26], Operations: ['36-31=5', '5+21=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[21, 1], Operations: ['36-31=5', '5/5=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,93 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 |
[
5,
72,
38,
29
] | 10 | [
"5+72=77",
"38+29=67",
"77-67=10"
] | Current State: 10:[5, 72, 38, 29], Operations: []
Exploring Operation: 5+72=77, Resulting Numbers: [38, 29, 77]
Generated Node #2: [38, 29, 77] from Operation: 5+72=77
Current State: 10:[38, 29, 77], Operations: ['5+72=77']
Exploring Operation: 38+29=67, Resulting Numbers: [77, 67]
Generated Node #3: [77, 67] from Operation: 38+29=67
Current State: 10:[77, 67], Operations: ['5+72=77', '38+29=67']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[5, 72, 38, 29], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [5, 29, 34]
Generated Node #0,0: 10:[5, 29, 34] Operation: 72-38=34
Exploring Operation: 38-29=9, Resulting Numbers: [5, 72, 9]
Generated Node #0,1: 10:[5, 72, 9] Operation: 38-29=9
Exploring Operation: 72-29=43, Resulting Numbers: [5, 38, 43]
Generated Node #0,2: 10:[5, 38, 43] Operation: 72-29=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[5, 29, 34], Operations: ['72-38=34']
Exploring Operation: 29-5=24, Resulting Numbers: [34, 24]
Generated Node #0,0,0: 10:[34, 24] Operation: 29-5=24
Exploring Operation: 34-5=29, Resulting Numbers: [29, 29]
Generated Node #0,0,1: 10:[29, 29] Operation: 34-5=29
Exploring Operation: 34-29=5, Resulting Numbers: [5, 5]
Generated Node #0,0,2: 10:[5, 5] Operation: 34-29=5
Moving to Node #0,0,2
Current State: 10:[5, 5], Operations: ['72-38=34', '34-29=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[5, 72, 38, 29], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [5, 29, 34]
Generated Node #0,0: 10:[5, 29, 34] Operation: 72-38=34
Moving to Node #0,0
Current State: 10:[5, 29, 34], Operations: ['72-38=34']
Exploring Operation: 34-29=5, Resulting Numbers: [5, 5]
Generated Node #0,0,2: 10:[5, 5] Operation: 34-29=5
Moving to Node #0,0,2
Current State: 10:[5, 5], Operations: ['72-38=34', '34-29=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
20,
3,
62,
94
] | 92 | [
"20*3=60",
"94-62=32",
"60+32=92"
] | Current State: 92:[20, 3, 62, 94], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [62, 94, 60]
Generated Node #2: [62, 94, 60] from Operation: 20*3=60
Current State: 92:[62, 94, 60], Operations: ['20*3=60']
Exploring Operation: 94-62=32, Resulting Numbers: [60, 32]
Generated Node #3: [60, 32] from Operation: 94-62=32
Current State: 92:[60, 32], Operations: ['20*3=60', '94-62=32']
Exploring Operation: 60+32=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[20, 3, 62, 94], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [3, 94, 42]
Generated Node #0,0: 92:[3, 94, 42] Operation: 62-20=42
Moving to Node #0,0
Current State: 92:[3, 94, 42], Operations: ['62-20=42']
Exploring Operation: 3+42=45, Resulting Numbers: [94, 45]
Generated Node #0,0,0: 92:[94, 45] Operation: 3+42=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[94, 45], Operations: ['62-20=42', '3+42=45']
Exploring Operation: 94-45=49, Resulting Numbers: [49]
49,92 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 |
[
99,
63,
47,
20
] | 18 | [
"99*20=1980",
"63+47=110",
"1980/110=18"
] | Current State: 18:[99, 63, 47, 20], Operations: []
Exploring Operation: 99*20=1980, Resulting Numbers: [63, 47, 1980]
Generated Node #2: [63, 47, 1980] from Operation: 99*20=1980
Current State: 18:[63, 47, 1980], Operations: ['99*20=1980']
Exploring Operation: 63+47=110, Resulting Numbers: [1980, 110]
Generated Node #3: [1980, 110] from Operation: 63+47=110
Current State: 18:[1980, 110], Operations: ['99*20=1980', '63+47=110']
Exploring Operation: 1980/110=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[99, 63, 47, 20], Operations: []
Exploring Operation: 63-47=16, Resulting Numbers: [99, 20, 16]
Generated Node #0,0: 18:[99, 20, 16] Operation: 63-47=16
Exploring Operation: 99-63=36, Resulting Numbers: [47, 20, 36]
Generated Node #0,1: 18:[47, 20, 36] Operation: 99-63=36
Exploring Operation: 99-47=52, Resulting Numbers: [63, 20, 52]
Generated Node #0,2: 18:[63, 20, 52] Operation: 99-47=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[47, 20, 36], Operations: ['99-63=36']
Exploring Operation: 47-20=27, Resulting Numbers: [36, 27]
Generated Node #0,1,0: 18:[36, 27] Operation: 47-20=27
Exploring Operation: 36-20=16, Resulting Numbers: [47, 16]
Generated Node #0,1,1: 18:[47, 16] Operation: 36-20=16
Exploring Operation: 47-36=11, Resulting Numbers: [20, 11]
Generated Node #0,1,2: 18:[20, 11] Operation: 47-36=11
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 18:[20, 11], Operations: ['99-63=36', '47-36=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,18 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 18:[36, 27], Operations: ['99-63=36', '47-20=27']
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,18 unequal: No Solution
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[47, 16], Operations: ['99-63=36', '36-20=16']
Exploring Operation: 47*16=752, Resulting Numbers: [752]
752,18 unequal: No Solution
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[63, 20, 52], Operations: ['99-47=52']
Exploring Operation: 63-20=43, Resulting Numbers: [52, 43]
Generated Node #0,2,0: 18:[52, 43] Operation: 63-20=43
Exploring Operation: 52-20=32, Resulting Numbers: [63, 32]
Generated Node #0,2,1: 18:[63, 32] Operation: 52-20=32
Exploring Operation: 63-52=11, Resulting Numbers: [20, 11]
Generated Node #0,2,2: 18:[20, 11] Operation: 63-52=11
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 18:[20, 11], Operations: ['99-47=52', '63-52=11']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,18 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 18:[52, 43], Operations: ['99-47=52', '63-20=43']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 52*43=2236, Resulting Numbers: [2236]
2236,18 unequal: No Solution
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 18:[63, 32], Operations: ['99-47=52', '52-20=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 63*32=2016, Resulting Numbers: [2016]
2016,18 unequal: No Solution
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[99, 20, 16], Operations: ['63-47=16']
Exploring Operation: 99-16=83, Resulting Numbers: [20, 83]
Generated Node #0,0,0: 18:[20, 83] Operation: 99-16=83
Exploring Operation: 99-20=79, Resulting Numbers: [16, 79]
Generated Node #0,0,1: 18:[16, 79] Operation: 99-20=79
Exploring Operation: 20-16=4, Resulting Numbers: [99, 4]
Generated Node #0,0,2: 18:[99, 4] Operation: 20-16=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[16, 79], Operations: ['63-47=16', '99-20=79']
Exploring Operation: 16*79=1264, Resulting Numbers: [1264]
1264,18 unequal: No Solution
Exploring Operation: 16+79=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[20, 83], Operations: ['63-47=16', '99-16=83']
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 20*83=1660, Resulting Numbers: [1660]
1660,18 unequal: No Solution
Exploring Operation: 20+83=103, Resulting Numbers: [103]
103,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 18:[99, 4], Operations: ['63-47=16', '20-16=4']
Exploring Operation: 99+4=103, Resulting Numbers: [103]
103,18 unequal: No Solution
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 99*4=396, Resulting Numbers: [396]
396,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
79,
67,
39,
65
] | 59 | [
"79+39=118",
"67-65=2",
"118/2=59"
] | Current State: 59:[79, 67, 39, 65], Operations: []
Exploring Operation: 79+39=118, Resulting Numbers: [67, 65, 118]
Generated Node #2: [67, 65, 118] from Operation: 79+39=118
Current State: 59:[67, 65, 118], Operations: ['79+39=118']
Exploring Operation: 67-65=2, Resulting Numbers: [118, 2]
Generated Node #3: [118, 2] from Operation: 67-65=2
Current State: 59:[118, 2], Operations: ['79+39=118', '67-65=2']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[79, 67, 39, 65], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [79, 67, 26]
Generated Node #0,0: 59:[79, 67, 26] Operation: 65-39=26
Exploring Operation: 67-39=28, Resulting Numbers: [79, 65, 28]
Generated Node #0,1: 59:[79, 65, 28] Operation: 67-39=28
Exploring Operation: 79-67=12, Resulting Numbers: [39, 65, 12]
Generated Node #0,2: 59:[39, 65, 12] Operation: 79-67=12
Exploring Operation: 79-39=40, Resulting Numbers: [67, 65, 40]
Generated Node #0,3: 59:[67, 65, 40] Operation: 79-39=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[67, 65, 40], Operations: ['79-39=40']
Exploring Operation: 67+40=107, Resulting Numbers: [65, 107]
Generated Node #0,3,0: 59:[65, 107] Operation: 67+40=107
Exploring Operation: 65-40=25, Resulting Numbers: [67, 25]
Generated Node #0,3,1: 59:[67, 25] Operation: 65-40=25
Exploring Operation: 67-40=27, Resulting Numbers: [65, 27]
Generated Node #0,3,2: 59:[65, 27] Operation: 67-40=27
Exploring Operation: 65+40=105, Resulting Numbers: [67, 105]
Generated Node #0,3,3: 59:[67, 105] Operation: 65+40=105
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 59:[65, 27], Operations: ['79-39=40', '67-40=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 65*27=1755, Resulting Numbers: [1755]
1755,59 unequal: No Solution
Exploring Operation: 65+27=92, Resulting Numbers: [92]
92,59 unequal: No Solution
No 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: 59:[67, 25], Operations: ['79-39=40', '65-40=25']
Exploring Operation: 67*25=1675, Resulting Numbers: [1675]
1675,59 unequal: No Solution
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 67+25=92, Resulting Numbers: [92]
92,59 unequal: No Solution
No 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: 59:[65, 107], Operations: ['79-39=40', '67+40=107']
Exploring Operation: 65+107=172, Resulting Numbers: [172]
172,59 unequal: No Solution
Exploring Operation: 107-65=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 65*107=6955, Resulting Numbers: [6955]
6955,59 unequal: No Solution
No 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: 59:[67, 105], Operations: ['79-39=40', '65+40=105']
Exploring Operation: 67+105=172, Resulting Numbers: [172]
172,59 unequal: No Solution
Exploring Operation: 105-67=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 67*105=7035, Resulting Numbers: [7035]
7035,59 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[79, 65, 28], Operations: ['67-39=28']
Exploring Operation: 79-28=51, Resulting Numbers: [65, 51]
Generated Node #0,1,0: 59:[65, 51] Operation: 79-28=51
Exploring Operation: 65-28=37, Resulting Numbers: [79, 37]
Generated Node #0,1,1: 59:[79, 37] Operation: 65-28=37
Exploring Operation: 65+28=93, Resulting Numbers: [79, 93]
Generated Node #0,1,2: 59:[79, 93] Operation: 65+28=93
Exploring Operation: 79+28=107, Resulting Numbers: [65, 107]
Generated Node #0,1,3: 59:[65, 107] Operation: 79+28=107
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[65, 51], Operations: ['67-39=28', '79-28=51']
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 65*51=3315, Resulting Numbers: [3315]
3315,59 unequal: No Solution
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,59 unequal: No Solution
No 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: 59:[79, 37], Operations: ['67-39=28', '65-28=37']
Exploring Operation: 79+37=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 79*37=2923, Resulting Numbers: [2923]
2923,59 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,59 unequal: No Solution
No 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: 59:[79, 93], Operations: ['67-39=28', '65+28=93']
Exploring Operation: 79*93=7347, Resulting Numbers: [7347]
7347,59 unequal: No Solution
Exploring Operation: 79+93=172, Resulting Numbers: [172]
172,59 unequal: No Solution
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No 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: 59:[65, 107], Operations: ['67-39=28', '79+28=107']
Exploring Operation: 107-65=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 65*107=6955, Resulting Numbers: [6955]
6955,59 unequal: No Solution
Exploring Operation: 65+107=172, Resulting Numbers: [172]
172,59 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[79, 67, 26], Operations: ['65-39=26']
Exploring Operation: 79-26=53, Resulting Numbers: [67, 53]
Generated Node #0,0,0: 59:[67, 53] Operation: 79-26=53
Exploring Operation: 79+26=105, Resulting Numbers: [67, 105]
Generated Node #0,0,1: 59:[67, 105] Operation: 79+26=105
Exploring Operation: 67+26=93, Resulting Numbers: [79, 93]
Generated Node #0,0,2: 59:[79, 93] Operation: 67+26=93
Exploring Operation: 67-26=41, Resulting Numbers: [79, 41]
Generated Node #0,0,3: 59:[79, 41] Operation: 67-26=41
Moving to Node #0,0,0
Current State: 59:[67, 53], Operations: ['65-39=26', '79-26=53']
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,59 unequal: No Solution
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,59 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[79, 41], Operations: ['65-39=26', '67-26=41']
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 79*41=3239, Resulting Numbers: [3239]
3239,59 unequal: No Solution
Exploring Operation: 79+41=120, Resulting Numbers: [120]
120,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[79, 93], Operations: ['65-39=26', '67+26=93']
Exploring Operation: 79+93=172, Resulting Numbers: [172]
172,59 unequal: No Solution
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 79*93=7347, Resulting Numbers: [7347]
7347,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[67, 105], Operations: ['65-39=26', '79+26=105']
Exploring Operation: 105-67=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 67*105=7035, Resulting Numbers: [7035]
7035,59 unequal: No Solution
Exploring Operation: 67+105=172, Resulting Numbers: [172]
172,59 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
Current State: 59:[39, 65, 12], Operations: ['79-67=12']
Exploring Operation: 39+12=51, Resulting Numbers: [65, 51]
Generated Node #0,2,0: 59:[65, 51] Operation: 39+12=51
Exploring Operation: 65+12=77, Resulting Numbers: [39, 77]
Generated Node #0,2,1: 59:[39, 77] Operation: 65+12=77
Exploring Operation: 39-12=27, Resulting Numbers: [65, 27]
Generated Node #0,2,2: 59:[65, 27] Operation: 39-12=27
Exploring Operation: 65-12=53, Resulting Numbers: [39, 53]
Generated Node #0,2,3: 59:[39, 53] Operation: 65-12=53
Moving to Node #0,2,0
Current State: 59:[65, 51], Operations: ['79-67=12', '39+12=51']
Exploring Operation: 65*51=3315, Resulting Numbers: [3315]
3315,59 unequal: No Solution
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[39, 53], Operations: ['79-67=12', '65-12=53']
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,59 unequal: No Solution
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[65, 27], Operations: ['79-67=12', '39-12=27']
Exploring Operation: 65+27=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 65*27=1755, Resulting Numbers: [1755]
1755,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[39, 77], Operations: ['79-67=12', '65+12=77']
Exploring Operation: 39+77=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 39*77=3003, Resulting Numbers: [3003]
3003,59 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,
86,
41,
27
] | 91 | [
"86-9=77",
"41-27=14",
"77+14=91"
] | Current State: 91:[9, 86, 41, 27], Operations: []
Exploring Operation: 86-9=77, Resulting Numbers: [41, 27, 77]
Generated Node #2: [41, 27, 77] from Operation: 86-9=77
Current State: 91:[41, 27, 77], Operations: ['86-9=77']
Exploring Operation: 41-27=14, Resulting Numbers: [77, 14]
Generated Node #3: [77, 14] from Operation: 41-27=14
Current State: 91:[77, 14], Operations: ['86-9=77', '41-27=14']
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[9, 86, 41, 27], Operations: []
Exploring Operation: 41+27=68, Resulting Numbers: [9, 86, 68]
Generated Node #0,0: 91:[9, 86, 68] Operation: 41+27=68
Exploring Operation: 41-27=14, Resulting Numbers: [9, 86, 14]
Generated Node #0,1: 91:[9, 86, 14] Operation: 41-27=14
Exploring Operation: 27/9=3, Resulting Numbers: [86, 41, 3]
Generated Node #0,2: 91:[86, 41, 3] Operation: 27/9=3
Moving to Node #0,1
Current State: 91:[9, 86, 14], Operations: ['41-27=14']
Exploring Operation: 14-9=5, Resulting Numbers: [86, 5]
Generated Node #0,1,0: 91:[86, 5] Operation: 14-9=5
Exploring Operation: 9+86=95, Resulting Numbers: [14, 95]
Generated Node #0,1,1: 91:[14, 95] Operation: 9+86=95
Exploring Operation: 86+14=100, Resulting Numbers: [9, 100]
Generated Node #0,1,2: 91:[9, 100] Operation: 86+14=100
Moving to Node #0,0
Current State: 91:[9, 86, 68], Operations: ['41+27=68']
Exploring Operation: 86-68=18, Resulting Numbers: [9, 18]
Generated Node #0,0,0: 91:[9, 18] Operation: 86-68=18
Exploring Operation: 9+68=77, Resulting Numbers: [86, 77]
Generated Node #0,0,1: 91:[86, 77] Operation: 9+68=77
Exploring Operation: 9+86=95, Resulting Numbers: [68, 95]
Generated Node #0,0,2: 91:[68, 95] Operation: 9+86=95
Moving to Node #0,2
Current State: 91:[86, 41, 3], Operations: ['27/9=3']
Exploring Operation: 86+3=89, Resulting Numbers: [41, 89]
Generated Node #0,2,0: 91:[41, 89] Operation: 86+3=89
Exploring Operation: 86-41=45, Resulting Numbers: [3, 45]
Generated Node #0,2,1: 91:[3, 45] Operation: 86-41=45
Exploring Operation: 41-3=38, Resulting Numbers: [86, 38]
Generated Node #0,2,2: 91:[86, 38] Operation: 41-3=38
Moving to Node #0,1,1
Current State: 91:[14, 95], Operations: ['41-27=14', '9+86=95']
Exploring Operation: 14*95=1330, Resulting Numbers: [1330]
1330,91 unequal: No Solution
Exploring Operation: 14+95=109, Resulting Numbers: [109]
109,91 unequal: No Solution
Exploring Operation: 95-14=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[86, 5], Operations: ['41-27=14', '14-9=5']
Exploring Operation: 86*5=430, Resulting Numbers: [430]
430,91 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[9, 86, 41, 27], Operations: []
Exploring Operation: 41-27=14, Resulting Numbers: [9, 86, 14]
Generated Node #0,1: 91:[9, 86, 14] Operation: 41-27=14
Moving to Node #0,1
Current State: 91:[9, 86, 14], Operations: ['41-27=14']
Exploring Operation: 14-9=5, Resulting Numbers: [86, 5]
Generated Node #0,1,0: 91:[86, 5] Operation: 14-9=5
Moving to Node #0,1,0
Current State: 91:[86, 5], Operations: ['41-27=14', '14-9=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.980903 | hs_3 | mult_heuristic |
[
46,
2,
8,
40
] | 44 | [
"46*2=92",
"8+40=48",
"92-48=44"
] | Current State: 44:[46, 2, 8, 40], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [8, 40, 92]
Generated Node #2: [8, 40, 92] from Operation: 46*2=92
Current State: 44:[8, 40, 92], Operations: ['46*2=92']
Exploring Operation: 8+40=48, Resulting Numbers: [92, 48]
Generated Node #3: [92, 48] from Operation: 8+40=48
Current State: 44:[92, 48], Operations: ['46*2=92', '8+40=48']
Exploring Operation: 92-48=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[46, 2, 8, 40], Operations: []
Exploring Operation: 8+40=48, Resulting Numbers: [46, 2, 48]
Generated Node #0,0: 44:[46, 2, 48] Operation: 8+40=48
Exploring Operation: 8/2=4, Resulting Numbers: [46, 40, 4]
Generated Node #0,1: 44:[46, 40, 4] Operation: 8/2=4
Exploring Operation: 46-40=6, Resulting Numbers: [2, 8, 6]
Generated Node #0,2: 44:[2, 8, 6] Operation: 46-40=6
Exploring Operation: 40/8=5, Resulting Numbers: [46, 2, 5]
Generated Node #0,3: 44:[46, 2, 5] Operation: 40/8=5
Exploring Operation: 46-2=44, Resulting Numbers: [8, 40, 44]
Generated Node #0,4: 44:[8, 40, 44] Operation: 46-2=44
Moving to Node #0,3
Current State: 44:[46, 2, 5], Operations: ['40/8=5']
Exploring Operation: 2*5=10, Resulting Numbers: [46, 10]
Generated Node #0,3,0: 44:[46, 10] Operation: 2*5=10
Exploring Operation: 46/2=23, Resulting Numbers: [5, 23]
Generated Node #0,3,1: 44:[5, 23] Operation: 46/2=23
Exploring Operation: 46-5=41, Resulting Numbers: [2, 41]
Generated Node #0,3,2: 44:[2, 41] Operation: 46-5=41
Exploring Operation: 5-2=3, Resulting Numbers: [46, 3]
Generated Node #0,3,3: 44:[46, 3] Operation: 5-2=3
Exploring Operation: 46-2=44, Resulting Numbers: [5, 44]
Generated Node #0,3,4: 44:[5, 44] Operation: 46-2=44
Moving to Node #0,2
Current State: 44:[2, 8, 6], Operations: ['46-40=6']
Exploring Operation: 8+6=14, Resulting Numbers: [2, 14]
Generated Node #0,2,0: 44:[2, 14] Operation: 8+6=14
Exploring Operation: 8-6=2, Resulting Numbers: [2, 2]
Generated Node #0,2,1: 44:[2, 2] Operation: 8-6=2
Exploring Operation: 2+8=10, Resulting Numbers: [6, 10]
Generated Node #0,2,2: 44:[6, 10] Operation: 2+8=10
Exploring Operation: 8/2=4, Resulting Numbers: [6, 4]
Generated Node #0,2,3: 44:[6, 4] Operation: 8/2=4
Exploring Operation: 6-2=4, Resulting Numbers: [8, 4]
Generated Node #0,2,4: 44:[8, 4] Operation: 6-2=4
Moving to Node #0,0
Current State: 44:[46, 2, 48], Operations: ['8+40=48']
Exploring Operation: 48-46=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 44:[2, 2] Operation: 48-46=2
Exploring Operation: 48-2=46, Resulting Numbers: [46, 46]
Generated Node #0,0,1: 44:[46, 46] Operation: 48-2=46
Exploring Operation: 46-2=44, Resulting Numbers: [48, 44]
Generated Node #0,0,2: 44:[48, 44] Operation: 46-2=44
Exploring Operation: 48/2=24, Resulting Numbers: [46, 24]
Generated Node #0,0,3: 44:[46, 24] Operation: 48/2=24
Exploring Operation: 46/2=23, Resulting Numbers: [48, 23]
Generated Node #0,0,4: 44:[48, 23] Operation: 46/2=23
Moving to Node #0,1
Current State: 44:[46, 40, 4], Operations: ['8/2=4']
Exploring Operation: 40+4=44, Resulting Numbers: [46, 44]
Generated Node #0,1,0: 44:[46, 44] Operation: 40+4=44
Exploring Operation: 46+4=50, Resulting Numbers: [40, 50]
Generated Node #0,1,1: 44:[40, 50] Operation: 46+4=50
Exploring Operation: 46-4=42, Resulting Numbers: [40, 42]
Generated Node #0,1,2: 44:[40, 42] Operation: 46-4=42
Exploring Operation: 46-40=6, Resulting Numbers: [4, 6]
Generated Node #0,1,3: 44:[4, 6] Operation: 46-40=6
Exploring Operation: 40/4=10, Resulting Numbers: [46, 10]
Generated Node #0,1,4: 44:[46, 10] Operation: 40/4=10
Moving to Node #0,4
Current State: 44:[8, 40, 44], Operations: ['46-2=44']
Exploring Operation: 8+40=48, Resulting Numbers: [44, 48]
Generated Node #0,4,0: 44:[44, 48] Operation: 8+40=48
Exploring Operation: 44-40=4, Resulting Numbers: [8, 4]
Generated Node #0,4,1: 44:[8, 4] Operation: 44-40=4
Exploring Operation: 40-8=32, Resulting Numbers: [44, 32]
Generated Node #0,4,2: 44:[44, 32] Operation: 40-8=32
Exploring Operation: 8+44=52, Resulting Numbers: [40, 52]
Generated Node #0,4,3: 44:[40, 52] Operation: 8+44=52
Exploring Operation: 40/8=5, Resulting Numbers: [44, 5]
Generated Node #0,4,4: 44:[44, 5] Operation: 40/8=5
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 44:[44, 5], Operations: ['46-2=44', '40/8=5']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 44*5=220, Resulting Numbers: [220]
220,44 unequal: No Solution
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,44 unequal: No Solution
No 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: 44:[8, 4], Operations: ['46-2=44', '44-40=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,44 unequal: No Solution
No 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: 44:[44, 48], Operations: ['46-2=44', '8+40=48']
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,44 unequal: No Solution
Exploring Operation: 44*48=2112, Resulting Numbers: [2112]
2112,44 unequal: No Solution
No 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: 44:[44, 32], Operations: ['46-2=44', '40-8=32']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 44*32=1408, Resulting Numbers: [1408]
1408,44 unequal: No Solution
No 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: 44:[40, 52], Operations: ['46-2=44', '8+44=52']
Exploring Operation: 40*52=2080, Resulting Numbers: [2080]
2080,44 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,44 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: 44:[2, 2], Operations: ['46-40=6', '8-6=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,44 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[2, 2], Operations: ['8+40=48', '48-46=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,44 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Moving to Node #0,3,4
Current State: 44:[5, 44], Operations: ['40/8=5', '46-2=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,44 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[6, 4], Operations: ['46-40=6', '8/2=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[5, 23], Operations: ['40/8=5', '46/2=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,44 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[46, 44], Operations: ['8/2=4', '40+4=44']
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 46+44=90, Resulting Numbers: [90]
90,44 unequal: No Solution
Exploring Operation: 46*44=2024, Resulting Numbers: [2024]
2024,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[4, 6], Operations: ['8/2=4', '46-40=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[46, 10], Operations: ['40/8=5', '2*5=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 46*10=460, Resulting Numbers: [460]
460,44 unequal: No Solution
Moving to Node #0,1,4
Current State: 44:[46, 10], Operations: ['8/2=4', '40/4=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 46*10=460, Resulting Numbers: [460]
460,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[46, 3], Operations: ['40/8=5', '5-2=3']
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,44 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,44 unequal: No Solution
Moving to Node #0,2,4
Current State: 44:[8, 4], Operations: ['46-40=6', '6-2=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[6, 10], Operations: ['46-40=6', '2+8=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[2, 41], Operations: ['40/8=5', '46-5=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,44 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,44 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[2, 14], Operations: ['46-40=6', '8+6=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[46, 24], Operations: ['8+40=48', '48/2=24']
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,44 unequal: No Solution
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,44 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[48, 44], Operations: ['8+40=48', '46-2=44']
Exploring Operation: 48*44=2112, Resulting Numbers: [2112]
2112,44 unequal: No Solution
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,44 unequal: No Solution
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[46, 46], Operations: ['8+40=48', '48-2=46']
Exploring Operation: 46*46=2116, Resulting Numbers: [2116]
2116,44 unequal: No Solution
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,44 unequal: No Solution
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,44 unequal: No Solution
Moving to Node #0,0,4
Current State: 44:[48, 23], Operations: ['8+40=48', '46/2=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[40, 42], Operations: ['8/2=4', '46-4=42']
Exploring Operation: 40*42=1680, Resulting Numbers: [1680]
1680,44 unequal: No Solution
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,44 unequal: No Solution
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[40, 50], Operations: ['8/2=4', '46+4=50']
Exploring Operation: 40*50=2000, Resulting Numbers: [2000]
2000,44 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,44 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
51,
14,
13,
55
] | 76 | [
"51+55=106",
"14*13=182",
"182-106=76"
] | Current State: 76:[51, 14, 13, 55], Operations: []
Exploring Operation: 51+55=106, Resulting Numbers: [14, 13, 106]
Generated Node #2: [14, 13, 106] from Operation: 51+55=106
Current State: 76:[14, 13, 106], Operations: ['51+55=106']
Exploring Operation: 14*13=182, Resulting Numbers: [106, 182]
Generated Node #3: [106, 182] from Operation: 14*13=182
Current State: 76:[106, 182], Operations: ['51+55=106', '14*13=182']
Exploring Operation: 182-106=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[51, 14, 13, 55], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [14, 13, 4]
Generated Node #0,0: 76:[14, 13, 4] Operation: 55-51=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[14, 13, 4], Operations: ['55-51=4']
Exploring Operation: 14-13=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 76:[4, 1] Operation: 14-13=1
Moving to Node #0,0,0
Current State: 76:[4, 1], Operations: ['55-51=4', '14-13=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
14,
12,
33
] | 63 | [
"56-14=42",
"33-12=21",
"42+21=63"
] | Current State: 63:[56, 14, 12, 33], Operations: []
Exploring Operation: 56-14=42, Resulting Numbers: [12, 33, 42]
Generated Node #2: [12, 33, 42] from Operation: 56-14=42
Current State: 63:[12, 33, 42], Operations: ['56-14=42']
Exploring Operation: 33-12=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 33-12=21
Current State: 63:[42, 21], Operations: ['56-14=42', '33-12=21']
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[56, 14, 12, 33], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [12, 33, 4]
Generated Node #0,0: 63:[12, 33, 4] Operation: 56/14=4
Exploring Operation: 33-14=19, Resulting Numbers: [56, 12, 19]
Generated Node #0,1: 63:[56, 12, 19] Operation: 33-14=19
Exploring Operation: 56-33=23, Resulting Numbers: [14, 12, 23]
Generated Node #0,2: 63:[14, 12, 23] Operation: 56-33=23
Exploring Operation: 33-12=21, Resulting Numbers: [56, 14, 21]
Generated Node #0,3: 63:[56, 14, 21] Operation: 33-12=21
Moving to Node #0,2
Current State: 63:[14, 12, 23], Operations: ['56-33=23']
Exploring Operation: 14-12=2, Resulting Numbers: [23, 2]
Generated Node #0,2,0: 63:[23, 2] Operation: 14-12=2
Exploring Operation: 14+12=26, Resulting Numbers: [23, 26]
Generated Node #0,2,1: 63:[23, 26] Operation: 14+12=26
Exploring Operation: 23-14=9, Resulting Numbers: [12, 9]
Generated Node #0,2,2: 63:[12, 9] Operation: 23-14=9
Exploring Operation: 23-12=11, Resulting Numbers: [14, 11]
Generated Node #0,2,3: 63:[14, 11] Operation: 23-12=11
Moving to Node #0,3
Current State: 63:[56, 14, 21], Operations: ['33-12=21']
Exploring Operation: 56+14=70, Resulting Numbers: [21, 70]
Generated Node #0,3,0: 63:[21, 70] Operation: 56+14=70
Exploring Operation: 21-14=7, Resulting Numbers: [56, 7]
Generated Node #0,3,1: 63:[56, 7] Operation: 21-14=7
Exploring Operation: 56+21=77, Resulting Numbers: [14, 77]
Generated Node #0,3,2: 63:[14, 77] Operation: 56+21=77
Exploring Operation: 56/14=4, Resulting Numbers: [21, 4]
Generated Node #0,3,3: 63:[21, 4] Operation: 56/14=4
Moving to Node #0,1
Current State: 63:[56, 12, 19], Operations: ['33-14=19']
Exploring Operation: 19-12=7, Resulting Numbers: [56, 7]
Generated Node #0,1,0: 63:[56, 7] Operation: 19-12=7
Exploring Operation: 56+19=75, Resulting Numbers: [12, 75]
Generated Node #0,1,1: 63:[12, 75] Operation: 56+19=75
Exploring Operation: 56+12=68, Resulting Numbers: [19, 68]
Generated Node #0,1,2: 63:[19, 68] Operation: 56+12=68
Exploring Operation: 12+19=31, Resulting Numbers: [56, 31]
Generated Node #0,1,3: 63:[56, 31] Operation: 12+19=31
Moving to Node #0,0
Current State: 63:[12, 33, 4], Operations: ['56/14=4']
Exploring Operation: 33-4=29, Resulting Numbers: [12, 29]
Generated Node #0,0,0: 63:[12, 29] Operation: 33-4=29
Exploring Operation: 33-12=21, Resulting Numbers: [4, 21]
Generated Node #0,0,1: 63:[4, 21] Operation: 33-12=21
Exploring Operation: 12/4=3, Resulting Numbers: [33, 3]
Generated Node #0,0,2: 63:[33, 3] Operation: 12/4=3
Exploring Operation: 12-4=8, Resulting Numbers: [33, 8]
Generated Node #0,0,3: 63:[33, 8] Operation: 12-4=8
Moving to Node #0,3,3
Current State: 63:[21, 4], Operations: ['33-12=21', '56/14=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[4, 21], Operations: ['56/14=4', '33-12=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[23, 2], Operations: ['56-33=23', '14-12=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,63 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[12, 9], Operations: ['56-33=23', '23-14=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[56, 7], Operations: ['33-12=21', '21-14=7']
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[56, 14, 12, 33], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [56, 14, 21]
Generated Node #0,3: 63:[56, 14, 21] Operation: 33-12=21
Moving to Node #0,3
Current State: 63:[56, 14, 21], Operations: ['33-12=21']
Exploring Operation: 21-14=7, Resulting Numbers: [56, 7]
Generated Node #0,3,1: 63:[56, 7] Operation: 21-14=7
Moving to Node #0,3,1
Current State: 63:[56, 7], Operations: ['33-12=21', '21-14=7']
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.967882 | hs_4 | sum_heuristic |
[
33,
66,
42,
75
] | 67 | [
"33+42=75",
"75/75=1",
"66+1=67"
] | Current State: 67:[33, 66, 42, 75], Operations: []
Exploring Operation: 33+42=75, Resulting Numbers: [66, 75, 75]
Generated Node #2: [66, 75, 75] from Operation: 33+42=75
Current State: 67:[66, 75, 75], Operations: ['33+42=75']
Exploring Operation: 75/75=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 75/75=1
Current State: 67:[66, 1], Operations: ['33+42=75', '75/75=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[33, 66, 42, 75], Operations: []
Exploring Operation: 33+42=75, Resulting Numbers: [66, 75, 75]
Generated Node #0,0: 67:[66, 75, 75] Operation: 33+42=75
Exploring Operation: 75-33=42, Resulting Numbers: [66, 42, 42]
Generated Node #0,1: 67:[66, 42, 42] Operation: 75-33=42
Moving to Node #0,0
Current State: 67:[66, 75, 75], Operations: ['33+42=75']
Exploring Operation: 75-66=9, Resulting Numbers: [75, 9]
Generated Node #0,0,0: 67:[75, 9] Operation: 75-66=9
Exploring Operation: 75-66=9, Resulting Numbers: [75, 9]
Generated Node #0,0,1: 67:[75, 9] Operation: 75-66=9
Moving to Node #0,1
Current State: 67:[66, 42, 42], Operations: ['75-33=42']
Exploring Operation: 66+42=108, Resulting Numbers: [42, 108]
Generated Node #0,1,0: 67:[42, 108] Operation: 66+42=108
Exploring Operation: 42+42=84, Resulting Numbers: [66, 84]
Generated Node #0,1,1: 67:[66, 84] Operation: 42+42=84
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[66, 84], Operations: ['75-33=42', '42+42=84']
Exploring Operation: 66+84=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,67 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 #0,1,0
Current State: 67:[42, 108], Operations: ['75-33=42', '66+42=108']
Exploring Operation: 42+108=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Exploring Operation: 108-42=66, Resulting Numbers: [66]
66,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 67:[75, 9], Operations: ['33+42=75', '75-66=9']
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,67 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[75, 9], Operations: ['33+42=75', '75-66=9']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,67 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
84,
6,
30,
14
] | 84 | [
"84*6=504",
"30*14=420",
"504-420=84"
] | Current State: 84:[84, 6, 30, 14], Operations: []
Exploring Operation: 84*6=504, Resulting Numbers: [30, 14, 504]
Generated Node #2: [30, 14, 504] from Operation: 84*6=504
Current State: 84:[30, 14, 504], Operations: ['84*6=504']
Exploring Operation: 30*14=420, Resulting Numbers: [504, 420]
Generated Node #3: [504, 420] from Operation: 30*14=420
Current State: 84:[504, 420], Operations: ['84*6=504', '30*14=420']
Exploring Operation: 504-420=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[84, 6, 30, 14], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [6, 30, 6]
Generated Node #0,0: 84:[6, 30, 6] Operation: 84/14=6
Exploring Operation: 84/6=14, Resulting Numbers: [30, 14, 14]
Generated Node #0,1: 84:[30, 14, 14] Operation: 84/6=14
Exploring Operation: 30/6=5, Resulting Numbers: [84, 14, 5]
Generated Node #0,2: 84:[84, 14, 5] Operation: 30/6=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[84, 14, 5], Operations: ['30/6=5']
Exploring Operation: 14+5=19, Resulting Numbers: [84, 19]
Generated Node #0,2,0: 84:[84, 19] Operation: 14+5=19
Exploring Operation: 14-5=9, Resulting Numbers: [84, 9]
Generated Node #0,2,1: 84:[84, 9] Operation: 14-5=9
Exploring Operation: 84/14=6, Resulting Numbers: [5, 6]
Generated Node #0,2,2: 84:[5, 6] Operation: 84/14=6
Moving to Node #0,2,2
Current State: 84:[5, 6], Operations: ['30/6=5', '84/14=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[84, 19], Operations: ['30/6=5', '14+5=19']
Exploring Operation: 84*19=1596, Resulting Numbers: [1596]
1596,84 unequal: No Solution
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 84+19=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[84, 9], Operations: ['30/6=5', '14-5=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,84 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 84*9=756, Resulting Numbers: [756]
756,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[6, 30, 6], Operations: ['84/14=6']
Exploring Operation: 6+6=12, Resulting Numbers: [30, 12]
Generated Node #0,0,0: 84:[30, 12] Operation: 6+6=12
Exploring Operation: 30/6=5, Resulting Numbers: [6, 5]
Generated Node #0,0,1: 84:[6, 5] Operation: 30/6=5
Exploring Operation: 30/6=5, Resulting Numbers: [6, 5]
Generated Node #0,0,2: 84:[6, 5] Operation: 30/6=5
Moving to Node #0,0,1
Current State: 84:[6, 5], Operations: ['84/14=6', '30/6=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[6, 5], Operations: ['84/14=6', '30/6=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[30, 12], Operations: ['84/14=6', '6+6=12']
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,84 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[30, 14, 14], Operations: ['84/6=14']
Exploring Operation: 30+14=44, Resulting Numbers: [14, 44]
Generated Node #0,1,0: 84:[14, 44] Operation: 30+14=44
Exploring Operation: 30-14=16, Resulting Numbers: [14, 16]
Generated Node #0,1,1: 84:[14, 16] Operation: 30-14=16
Exploring Operation: 30+14=44, Resulting Numbers: [14, 44]
Generated Node #0,1,2: 84:[14, 44] Operation: 30+14=44
Moving to Node #0,1,0
Current State: 84:[14, 44], Operations: ['84/6=14', '30+14=44']
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,84 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[14, 16], Operations: ['84/6=14', '30-14=16']
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,84 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[14, 44], Operations: ['84/6=14', '30+14=44']
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,84 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,84 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
41,
84,
20,
52
] | 53 | [
"41+84=125",
"20+52=72",
"125-72=53"
] | Current State: 53:[41, 84, 20, 52], Operations: []
Exploring Operation: 41+84=125, Resulting Numbers: [20, 52, 125]
Generated Node #2: [20, 52, 125] from Operation: 41+84=125
Current State: 53:[20, 52, 125], Operations: ['41+84=125']
Exploring Operation: 20+52=72, Resulting Numbers: [125, 72]
Generated Node #3: [125, 72] from Operation: 20+52=72
Current State: 53:[125, 72], Operations: ['41+84=125', '20+52=72']
Exploring Operation: 125-72=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[41, 84, 20, 52], Operations: []
Exploring Operation: 41+20=61, Resulting Numbers: [84, 52, 61]
Generated Node #0,0: 53:[84, 52, 61] Operation: 41+20=61
Exploring Operation: 84-20=64, Resulting Numbers: [41, 52, 64]
Generated Node #0,1: 53:[41, 52, 64] Operation: 84-20=64
Exploring Operation: 20+52=72, Resulting Numbers: [41, 84, 72]
Generated Node #0,2: 53:[41, 84, 72] Operation: 20+52=72
Exploring Operation: 41-20=21, Resulting Numbers: [84, 52, 21]
Generated Node #0,3: 53:[84, 52, 21] Operation: 41-20=21
Exploring Operation: 84-41=43, Resulting Numbers: [20, 52, 43]
Generated Node #0,4: 53:[20, 52, 43] Operation: 84-41=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[41, 52, 64], Operations: ['84-20=64']
Exploring Operation: 41+52=93, Resulting Numbers: [64, 93]
Generated Node #0,1,0: 53:[64, 93] Operation: 41+52=93
Exploring Operation: 64-41=23, Resulting Numbers: [52, 23]
Generated Node #0,1,1: 53:[52, 23] Operation: 64-41=23
Exploring Operation: 64-52=12, Resulting Numbers: [41, 12]
Generated Node #0,1,2: 53:[41, 12] Operation: 64-52=12
Exploring Operation: 41+64=105, Resulting Numbers: [52, 105]
Generated Node #0,1,3: 53:[52, 105] Operation: 41+64=105
Exploring Operation: 52-41=11, Resulting Numbers: [64, 11]
Generated Node #0,1,4: 53:[64, 11] Operation: 52-41=11
Moving to Node #0,1,1
Current State: 53:[52, 23], Operations: ['84-20=64', '64-41=23']
Exploring Operation: 52+23=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 52*23=1196, Resulting Numbers: [1196]
1196,53 unequal: No Solution
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[64, 93], Operations: ['84-20=64', '41+52=93']
Exploring Operation: 64+93=157, Resulting Numbers: [157]
157,53 unequal: No Solution
Exploring Operation: 93-64=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 64*93=5952, Resulting Numbers: [5952]
5952,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[41, 12], Operations: ['84-20=64', '64-52=12']
Exploring Operation: 41*12=492, Resulting Numbers: [492]
492,53 unequal: No Solution
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[41, 84, 20, 52], Operations: []
Exploring Operation: 84-20=64, Resulting Numbers: [41, 52, 64]
Generated Node #0,1: 53:[41, 52, 64] Operation: 84-20=64
Moving to Node #0,1
Current State: 53:[41, 52, 64], Operations: ['84-20=64']
Exploring Operation: 64-52=12, Resulting Numbers: [41, 12]
Generated Node #0,1,2: 53:[41, 12] Operation: 64-52=12
Moving to Node #0,1,2
Current State: 53:[41, 12], Operations: ['84-20=64', '64-52=12']
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
26,
94,
50,
5
] | 78 | [
"94-26=68",
"50/5=10",
"68+10=78"
] | Current State: 78:[26, 94, 50, 5], Operations: []
Exploring Operation: 94-26=68, Resulting Numbers: [50, 5, 68]
Generated Node #2: [50, 5, 68] from Operation: 94-26=68
Current State: 78:[50, 5, 68], Operations: ['94-26=68']
Exploring Operation: 50/5=10, Resulting Numbers: [68, 10]
Generated Node #3: [68, 10] from Operation: 50/5=10
Current State: 78:[68, 10], Operations: ['94-26=68', '50/5=10']
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[26, 94, 50, 5], Operations: []
Exploring Operation: 94-50=44, Resulting Numbers: [26, 5, 44]
Generated Node #0,0: 78:[26, 5, 44] Operation: 94-50=44
Exploring Operation: 26+50=76, Resulting Numbers: [94, 5, 76]
Generated Node #0,1: 78:[94, 5, 76] Operation: 26+50=76
Moving to Node #0,0
Current State: 78:[26, 5, 44], Operations: ['94-50=44']
Exploring Operation: 44-26=18, Resulting Numbers: [5, 18]
Generated Node #0,0,0: 78:[5, 18] Operation: 44-26=18
Exploring Operation: 44-5=39, Resulting Numbers: [26, 39]
Generated Node #0,0,1: 78:[26, 39] Operation: 44-5=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[26, 39], Operations: ['94-50=44', '44-5=39']
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[5, 18], Operations: ['94-50=44', '44-26=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,78 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: 78:[94, 5, 76], Operations: ['26+50=76']
Exploring Operation: 94-76=18, Resulting Numbers: [5, 18]
Generated Node #0,1,0: 78:[5, 18] Operation: 94-76=18
Exploring Operation: 94-5=89, Resulting Numbers: [76, 89]
Generated Node #0,1,1: 78:[76, 89] Operation: 94-5=89
Moving to Node #0,1,0
Current State: 78:[5, 18], Operations: ['26+50=76', '94-76=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[76, 89], Operations: ['26+50=76', '94-5=89']
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 76+89=165, Resulting Numbers: [165]
165,78 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
27,
4,
35
] | 31 | [
"4-2=2",
"27+35=62",
"62/2=31"
] | Current State: 31:[2, 27, 4, 35], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [27, 35, 2]
Generated Node #2: [27, 35, 2] from Operation: 4-2=2
Current State: 31:[27, 35, 2], Operations: ['4-2=2']
Exploring Operation: 27+35=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 27+35=62
Current State: 31:[2, 62], Operations: ['4-2=2', '27+35=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[2, 27, 4, 35], Operations: []
Exploring Operation: 2*4=8, Resulting Numbers: [27, 35, 8]
Generated Node #0,0: 31:[27, 35, 8] Operation: 2*4=8
Moving to Node #0,0
Current State: 31:[27, 35, 8], Operations: ['2*4=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35, 35]
Generated Node #0,0,0: 31:[35, 35] Operation: 27+8=35
Moving to Node #0,0,0
Current State: 31:[35, 35], Operations: ['2*4=8', '27+8=35']
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
60,
38,
69,
76
] | 29 | [
"60-38=22",
"76-69=7",
"22+7=29"
] | Current State: 29:[60, 38, 69, 76], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [69, 76, 22]
Generated Node #2: [69, 76, 22] from Operation: 60-38=22
Current State: 29:[69, 76, 22], Operations: ['60-38=22']
Exploring Operation: 76-69=7, Resulting Numbers: [22, 7]
Generated Node #3: [22, 7] from Operation: 76-69=7
Current State: 29:[22, 7], Operations: ['60-38=22', '76-69=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[60, 38, 69, 76], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [60, 38, 7]
Generated Node #0,0: 29:[60, 38, 7] Operation: 76-69=7
Exploring Operation: 76-60=16, Resulting Numbers: [38, 69, 16]
Generated Node #0,1: 29:[38, 69, 16] Operation: 76-60=16
Exploring Operation: 69-38=31, Resulting Numbers: [60, 76, 31]
Generated Node #0,2: 29:[60, 76, 31] Operation: 69-38=31
Exploring Operation: 69-60=9, Resulting Numbers: [38, 76, 9]
Generated Node #0,3: 29:[38, 76, 9] Operation: 69-60=9
Moving to Node #0,0
Current State: 29:[60, 38, 7], Operations: ['76-69=7']
Exploring Operation: 38-7=31, Resulting Numbers: [60, 31]
Generated Node #0,0,0: 29:[60, 31] Operation: 38-7=31
Exploring Operation: 60-7=53, Resulting Numbers: [38, 53]
Generated Node #0,0,1: 29:[38, 53] Operation: 60-7=53
Exploring Operation: 60+7=67, Resulting Numbers: [38, 67]
Generated Node #0,0,2: 29:[38, 67] Operation: 60+7=67
Exploring Operation: 60-38=22, Resulting Numbers: [7, 22]
Generated Node #0,0,3: 29:[7, 22] Operation: 60-38=22
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 29:[7, 22], Operations: ['76-69=7', '60-38=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,29 unequal: No Solution
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[60, 38, 69, 76], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [60, 38, 7]
Generated Node #0,0: 29:[60, 38, 7] Operation: 76-69=7
Moving to Node #0,0
Current State: 29:[60, 38, 7], Operations: ['76-69=7']
Exploring Operation: 60-38=22, Resulting Numbers: [7, 22]
Generated Node #0,0,3: 29:[7, 22] Operation: 60-38=22
Moving to Node #0,0,3
Current State: 29:[7, 22], Operations: ['76-69=7', '60-38=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
50,
19,
8,
75
] | 98 | [
"50-19=31",
"75-8=67",
"31+67=98"
] | Current State: 98:[50, 19, 8, 75], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [8, 75, 31]
Generated Node #2: [8, 75, 31] from Operation: 50-19=31
Current State: 98:[8, 75, 31], Operations: ['50-19=31']
Exploring Operation: 75-8=67, Resulting Numbers: [31, 67]
Generated Node #3: [31, 67] from Operation: 75-8=67
Current State: 98:[31, 67], Operations: ['50-19=31', '75-8=67']
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[50, 19, 8, 75], Operations: []
Exploring Operation: 8+75=83, Resulting Numbers: [50, 19, 83]
Generated Node #0,0: 98:[50, 19, 83] Operation: 8+75=83
Exploring Operation: 75-50=25, Resulting Numbers: [19, 8, 25]
Generated Node #0,1: 98:[19, 8, 25] Operation: 75-50=25
Exploring Operation: 75-8=67, Resulting Numbers: [50, 19, 67]
Generated Node #0,2: 98:[50, 19, 67] Operation: 75-8=67
Exploring Operation: 75-19=56, Resulting Numbers: [50, 8, 56]
Generated Node #0,3: 98:[50, 8, 56] Operation: 75-19=56
Exploring Operation: 19+75=94, Resulting Numbers: [50, 8, 94]
Generated Node #0,4: 98:[50, 8, 94] Operation: 19+75=94
Moving to Node #0,4
Current State: 98:[50, 8, 94], Operations: ['19+75=94']
Exploring Operation: 50-8=42, Resulting Numbers: [94, 42]
Generated Node #0,4,0: 98:[94, 42] Operation: 50-8=42
Exploring Operation: 94-50=44, Resulting Numbers: [8, 44]
Generated Node #0,4,1: 98:[8, 44] Operation: 94-50=44
Exploring Operation: 94-8=86, Resulting Numbers: [50, 86]
Generated Node #0,4,2: 98:[50, 86] Operation: 94-8=86
Exploring Operation: 8+94=102, Resulting Numbers: [50, 102]
Generated Node #0,4,3: 98:[50, 102] Operation: 8+94=102
Exploring Operation: 50+8=58, Resulting Numbers: [94, 58]
Generated Node #0,4,4: 98:[94, 58] Operation: 50+8=58
Moving to Node #0,3
Current State: 98:[50, 8, 56], Operations: ['75-19=56']
Exploring Operation: 56-50=6, Resulting Numbers: [8, 6]
Generated Node #0,3,0: 98:[8, 6] Operation: 56-50=6
Exploring Operation: 56/8=7, Resulting Numbers: [50, 7]
Generated Node #0,3,1: 98:[50, 7] Operation: 56/8=7
Exploring Operation: 50-8=42, Resulting Numbers: [56, 42]
Generated Node #0,3,2: 98:[56, 42] Operation: 50-8=42
Exploring Operation: 50+56=106, Resulting Numbers: [8, 106]
Generated Node #0,3,3: 98:[8, 106] Operation: 50+56=106
Exploring Operation: 56-8=48, Resulting Numbers: [50, 48]
Generated Node #0,3,4: 98:[50, 48] Operation: 56-8=48
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 98:[50, 7], Operations: ['75-19=56', '56/8=7']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 50*7=350, Resulting Numbers: [350]
350,98 unequal: No Solution
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 98:[8, 6], Operations: ['75-19=56', '56-50=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,98 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 98:[50, 48], Operations: ['75-19=56', '56-8=48']
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,98 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[50, 19, 8, 75], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [50, 8, 56]
Generated Node #0,3: 98:[50, 8, 56] Operation: 75-19=56
Moving to Node #0,3
Current State: 98:[50, 8, 56], Operations: ['75-19=56']
Exploring Operation: 56-8=48, Resulting Numbers: [50, 48]
Generated Node #0,3,4: 98:[50, 48] Operation: 56-8=48
Moving to Node #0,3,4
Current State: 98:[50, 48], Operations: ['75-19=56', '56-8=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | mult_heuristic |
[
53,
72,
58,
28
] | 67 | [
"72-53=19",
"58+28=86",
"86-19=67"
] | Current State: 67:[53, 72, 58, 28], Operations: []
Exploring Operation: 72-53=19, Resulting Numbers: [58, 28, 19]
Generated Node #2: [58, 28, 19] from Operation: 72-53=19
Current State: 67:[58, 28, 19], Operations: ['72-53=19']
Exploring Operation: 58+28=86, Resulting Numbers: [19, 86]
Generated Node #3: [19, 86] from Operation: 58+28=86
Current State: 67:[19, 86], Operations: ['72-53=19', '58+28=86']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[53, 72, 58, 28], Operations: []
Exploring Operation: 53+28=81, Resulting Numbers: [72, 58, 81]
Generated Node #0,0: 67:[72, 58, 81] Operation: 53+28=81
Exploring Operation: 72-28=44, Resulting Numbers: [53, 58, 44]
Generated Node #0,1: 67:[53, 58, 44] Operation: 72-28=44
Exploring Operation: 58+28=86, Resulting Numbers: [53, 72, 86]
Generated Node #0,2: 67:[53, 72, 86] Operation: 58+28=86
Exploring Operation: 53-28=25, Resulting Numbers: [72, 58, 25]
Generated Node #0,3: 67:[72, 58, 25] Operation: 53-28=25
Moving to Node #0,0
Current State: 67:[72, 58, 81], Operations: ['53+28=81']
Exploring Operation: 72-58=14, Resulting Numbers: [81, 14]
Generated Node #0,0,0: 67:[81, 14] Operation: 72-58=14
Exploring Operation: 72+58=130, Resulting Numbers: [81, 130]
Generated Node #0,0,1: 67:[81, 130] Operation: 72+58=130
Exploring Operation: 81-58=23, Resulting Numbers: [72, 23]
Generated Node #0,0,2: 67:[72, 23] Operation: 81-58=23
Exploring Operation: 81-72=9, Resulting Numbers: [58, 9]
Generated Node #0,0,3: 67:[58, 9] Operation: 81-72=9
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[72, 23], Operations: ['53+28=81', '81-58=23']
Exploring Operation: 72+23=95, Resulting Numbers: [95]
95,67 unequal: No Solution
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,67 unequal: No Solution
Exploring Operation: 72*23=1656, Resulting Numbers: [1656]
1656,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[81, 14], Operations: ['53+28=81', '72-58=14']
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,67 unequal: No Solution
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,67 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[53, 72, 58, 28], Operations: []
Exploring Operation: 53+28=81, Resulting Numbers: [72, 58, 81]
Generated Node #0,0: 67:[72, 58, 81] Operation: 53+28=81
Moving to Node #0,0
Current State: 67:[72, 58, 81], Operations: ['53+28=81']
Exploring Operation: 72-58=14, Resulting Numbers: [81, 14]
Generated Node #0,0,0: 67:[81, 14] Operation: 72-58=14
Moving to Node #0,0,0
Current State: 67:[81, 14], Operations: ['53+28=81', '72-58=14']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
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