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 |
|---|---|---|---|---|---|---|---|---|
[
94,
57,
92,
68
] | 61 | [
"94-57=37",
"92-68=24",
"37+24=61"
] | Current State: 61:[94, 57, 92, 68], Operations: []
Exploring Operation: 94-57=37, Resulting Numbers: [92, 68, 37]
Generated Node #2: [92, 68, 37] from Operation: 94-57=37
Current State: 61:[92, 68, 37], Operations: ['94-57=37']
Exploring Operation: 92-68=24, Resulting Numbers: [37, 24]
Generated Node #3: [37, 24] from Operation: 92-68=24
Current State: 61:[37, 24], Operations: ['94-57=37', '92-68=24']
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[94, 57, 92, 68], Operations: []
Exploring Operation: 94-68=26, Resulting Numbers: [57, 92, 26]
Generated Node #0,0: 61:[57, 92, 26] Operation: 94-68=26
Exploring Operation: 92-57=35, Resulting Numbers: [94, 68, 35]
Generated Node #0,1: 61:[94, 68, 35] Operation: 92-57=35
Exploring Operation: 94-92=2, Resulting Numbers: [57, 68, 2]
Generated Node #0,2: 61:[57, 68, 2] Operation: 94-92=2
Exploring Operation: 94-57=37, Resulting Numbers: [92, 68, 37]
Generated Node #0,3: 61:[92, 68, 37] Operation: 94-57=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[92, 68, 37], Operations: ['94-57=37']
Exploring Operation: 68-37=31, Resulting Numbers: [92, 31]
Generated Node #0,3,0: 61:[92, 31] Operation: 68-37=31
Exploring Operation: 92-68=24, Resulting Numbers: [37, 24]
Generated Node #0,3,1: 61:[37, 24] Operation: 92-68=24
Exploring Operation: 92-37=55, Resulting Numbers: [68, 55]
Generated Node #0,3,2: 61:[68, 55] Operation: 92-37=55
Exploring Operation: 92+37=129, Resulting Numbers: [68, 129]
Generated Node #0,3,3: 61:[68, 129] Operation: 92+37=129
Moving to Node #0,3,2
Current State: 61:[68, 55], Operations: ['94-57=37', '92-37=55']
Exploring Operation: 68*55=3740, Resulting Numbers: [3740]
3740,61 unequal: No Solution
Exploring Operation: 68-55=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 68+55=123, Resulting Numbers: [123]
123,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[37, 24], Operations: ['94-57=37', '92-68=24']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 37*24=888, Resulting Numbers: [888]
888,61 unequal: No Solution
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[94, 57, 92, 68], Operations: []
Exploring Operation: 94-57=37, Resulting Numbers: [92, 68, 37]
Generated Node #0,3: 61:[92, 68, 37] Operation: 94-57=37
Moving to Node #0,3
Current State: 61:[92, 68, 37], Operations: ['94-57=37']
Exploring Operation: 92-68=24, Resulting Numbers: [37, 24]
Generated Node #0,3,1: 61:[37, 24] Operation: 92-68=24
Moving to Node #0,3,1
Current State: 61:[37, 24], Operations: ['94-57=37', '92-68=24']
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
53,
19,
23,
79
] | 57 | [
"53+23=76",
"79-76=3",
"19*3=57"
] | Current State: 57:[53, 19, 23, 79], Operations: []
Exploring Operation: 53+23=76, Resulting Numbers: [19, 79, 76]
Generated Node #2: [19, 79, 76] from Operation: 53+23=76
Current State: 57:[19, 79, 76], Operations: ['53+23=76']
Exploring Operation: 79-76=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 79-76=3
Current State: 57:[19, 3], Operations: ['53+23=76', '79-76=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[53, 19, 23, 79], Operations: []
Exploring Operation: 79-23=56, Resulting Numbers: [53, 19, 56]
Generated Node #0,0: 57:[53, 19, 56] Operation: 79-23=56
Moving to Node #0,0
Current State: 57:[53, 19, 56], Operations: ['79-23=56']
Exploring Operation: 56-53=3, Resulting Numbers: [19, 3]
Generated Node #0,0,0: 57:[19, 3] Operation: 56-53=3
Moving to Node #0,0,0
Current State: 57:[19, 3], Operations: ['79-23=56', '56-53=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[53, 19, 23, 79], Operations: []
Exploring Operation: 79-23=56, Resulting Numbers: [53, 19, 56]
Generated Node #0,0: 57:[53, 19, 56] Operation: 79-23=56
Moving to Node #0,0
Current State: 57:[53, 19, 56], Operations: ['79-23=56']
Exploring Operation: 56-53=3, Resulting Numbers: [19, 3]
Generated Node #0,0,0: 57:[19, 3] Operation: 56-53=3
Moving to Node #0,0,0
Current State: 57:[19, 3], Operations: ['79-23=56', '56-53=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
63,
86,
19,
32
] | 36 | [
"86-63=23",
"32-19=13",
"23+13=36"
] | Current State: 36:[63, 86, 19, 32], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [19, 32, 23]
Generated Node #2: [19, 32, 23] from Operation: 86-63=23
Current State: 36:[19, 32, 23], Operations: ['86-63=23']
Exploring Operation: 32-19=13, Resulting Numbers: [23, 13]
Generated Node #3: [23, 13] from Operation: 32-19=13
Current State: 36:[23, 13], Operations: ['86-63=23', '32-19=13']
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[63, 86, 19, 32], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [19, 32, 23]
Generated Node #0,0: 36:[19, 32, 23] Operation: 86-63=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[19, 32, 23], Operations: ['86-63=23']
Exploring Operation: 32-23=9, Resulting Numbers: [19, 9]
Generated Node #0,0,0: 36:[19, 9] Operation: 32-23=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[19, 9], Operations: ['86-63=23', '32-23=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
36,
5,
24,
8
] | 73 | [
"36+5=41",
"24+8=32",
"41+32=73"
] | Current State: 73:[36, 5, 24, 8], Operations: []
Exploring Operation: 36+5=41, Resulting Numbers: [24, 8, 41]
Generated Node #2: [24, 8, 41] from Operation: 36+5=41
Current State: 73:[24, 8, 41], Operations: ['36+5=41']
Exploring Operation: 24+8=32, Resulting Numbers: [41, 32]
Generated Node #3: [41, 32] from Operation: 24+8=32
Current State: 73:[41, 32], Operations: ['36+5=41', '24+8=32']
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[36, 5, 24, 8], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [36, 24, 40]
Generated Node #0,0: 73:[36, 24, 40] Operation: 5*8=40
Exploring Operation: 36+5=41, Resulting Numbers: [24, 8, 41]
Generated Node #0,1: 73:[24, 8, 41] Operation: 36+5=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[36, 24, 40], Operations: ['5*8=40']
Exploring Operation: 24+40=64, Resulting Numbers: [36, 64]
Generated Node #0,0,0: 73:[36, 64] Operation: 24+40=64
Exploring Operation: 36+24=60, Resulting Numbers: [40, 60]
Generated Node #0,0,1: 73:[40, 60] Operation: 36+24=60
Moving to Node #0,0,0
Current State: 73:[36, 64], Operations: ['5*8=40', '24+40=64']
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,73 unequal: No Solution
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[40, 60], Operations: ['5*8=40', '36+24=60']
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[24, 8, 41], Operations: ['36+5=41']
Exploring Operation: 24+8=32, Resulting Numbers: [41, 32]
Generated Node #0,1,0: 73:[41, 32] Operation: 24+8=32
Exploring Operation: 24+41=65, Resulting Numbers: [8, 65]
Generated Node #0,1,1: 73:[8, 65] Operation: 24+41=65
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[41, 32], Operations: ['36+5=41', '24+8=32']
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[36, 5, 24, 8], Operations: []
Exploring Operation: 36+5=41, Resulting Numbers: [24, 8, 41]
Generated Node #0,1: 73:[24, 8, 41] Operation: 36+5=41
Moving to Node #0,1
Current State: 73:[24, 8, 41], Operations: ['36+5=41']
Exploring Operation: 24+8=32, Resulting Numbers: [41, 32]
Generated Node #0,1,0: 73:[41, 32] Operation: 24+8=32
Moving to Node #0,1,0
Current State: 73:[41, 32], Operations: ['36+5=41', '24+8=32']
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
58,
40,
39,
8
] | 65 | [
"58-40=18",
"39+8=47",
"18+47=65"
] | Current State: 65:[58, 40, 39, 8], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [39, 8, 18]
Generated Node #2: [39, 8, 18] from Operation: 58-40=18
Current State: 65:[39, 8, 18], Operations: ['58-40=18']
Exploring Operation: 39+8=47, Resulting Numbers: [18, 47]
Generated Node #3: [18, 47] from Operation: 39+8=47
Current State: 65:[18, 47], Operations: ['58-40=18', '39+8=47']
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[58, 40, 39, 8], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [39, 8, 18]
Generated Node #0,0: 65:[39, 8, 18] Operation: 58-40=18
Exploring Operation: 40-39=1, Resulting Numbers: [58, 8, 1]
Generated Node #0,1: 65:[58, 8, 1] Operation: 40-39=1
Exploring Operation: 40/8=5, Resulting Numbers: [58, 39, 5]
Generated Node #0,2: 65:[58, 39, 5] Operation: 40/8=5
Exploring Operation: 40+39=79, Resulting Numbers: [58, 8, 79]
Generated Node #0,3: 65:[58, 8, 79] Operation: 40+39=79
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[58, 8, 1], Operations: ['40-39=1']
Exploring Operation: 58+8=66, Resulting Numbers: [1, 66]
Generated Node #0,1,0: 65:[1, 66] Operation: 58+8=66
Exploring Operation: 58+1=59, Resulting Numbers: [8, 59]
Generated Node #0,1,1: 65:[8, 59] Operation: 58+1=59
Exploring Operation: 8-1=7, Resulting Numbers: [58, 7]
Generated Node #0,1,2: 65:[58, 7] Operation: 8-1=7
Exploring Operation: 58*1=58, Resulting Numbers: [8, 58]
Generated Node #0,1,3: 65:[8, 58] Operation: 58*1=58
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[1, 66], Operations: ['40-39=1', '58+8=66']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[58, 40, 39, 8], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [58, 8, 1]
Generated Node #0,1: 65:[58, 8, 1] Operation: 40-39=1
Moving to Node #0,1
Current State: 65:[58, 8, 1], Operations: ['40-39=1']
Exploring Operation: 58+8=66, Resulting Numbers: [1, 66]
Generated Node #0,1,0: 65:[1, 66] Operation: 58+8=66
Moving to Node #0,1,0
Current State: 65:[1, 66], Operations: ['40-39=1', '58+8=66']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
64,
19,
59,
32
] | 42 | [
"64/32=2",
"59-19=40",
"2+40=42"
] | Current State: 42:[64, 19, 59, 32], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [19, 59, 2]
Generated Node #2: [19, 59, 2] from Operation: 64/32=2
Current State: 42:[19, 59, 2], Operations: ['64/32=2']
Exploring Operation: 59-19=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 59-19=40
Current State: 42:[2, 40], Operations: ['64/32=2', '59-19=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[64, 19, 59, 32], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [19, 32, 5]
Generated Node #0,0: 42:[19, 32, 5] Operation: 64-59=5
Exploring Operation: 64-19=45, Resulting Numbers: [59, 32, 45]
Generated Node #0,1: 42:[59, 32, 45] Operation: 64-19=45
Exploring Operation: 64-32=32, Resulting Numbers: [19, 59, 32]
Generated Node #0,2: 42:[19, 59, 32] Operation: 64-32=32
Exploring Operation: 64/32=2, Resulting Numbers: [19, 59, 2]
Generated Node #0,3: 42:[19, 59, 2] Operation: 64/32=2
Moving to Node #0,0
Current State: 42:[19, 32, 5], Operations: ['64-59=5']
Exploring Operation: 32+5=37, Resulting Numbers: [19, 37]
Generated Node #0,0,0: 42:[19, 37] Operation: 32+5=37
Exploring Operation: 32-19=13, Resulting Numbers: [5, 13]
Generated Node #0,0,1: 42:[5, 13] Operation: 32-19=13
Exploring Operation: 19+32=51, Resulting Numbers: [5, 51]
Generated Node #0,0,2: 42:[5, 51] Operation: 19+32=51
Exploring Operation: 32-5=27, Resulting Numbers: [19, 27]
Generated Node #0,0,3: 42:[19, 27] Operation: 32-5=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[5, 13], Operations: ['64-59=5', '32-19=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,42 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,42 unequal: No Solution
No 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: 42:[19, 37], Operations: ['64-59=5', '32+5=37']
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 19*37=703, Resulting Numbers: [703]
703,42 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,42 unequal: No Solution
No 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: 42:[19, 27], Operations: ['64-59=5', '32-5=27']
Exploring Operation: 19+27=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 19*27=513, Resulting Numbers: [513]
513,42 unequal: No Solution
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No 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: 42:[5, 51], Operations: ['64-59=5', '19+32=51']
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,42 unequal: No Solution
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,42 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,42 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: 42:[19, 59, 2], Operations: ['64/32=2']
Exploring Operation: 19-2=17, Resulting Numbers: [59, 17]
Generated Node #0,3,0: 42:[59, 17] Operation: 19-2=17
Exploring Operation: 19+2=21, Resulting Numbers: [59, 21]
Generated Node #0,3,1: 42:[59, 21] Operation: 19+2=21
Exploring Operation: 59-19=40, Resulting Numbers: [2, 40]
Generated Node #0,3,2: 42:[2, 40] Operation: 59-19=40
Exploring Operation: 59-2=57, Resulting Numbers: [19, 57]
Generated Node #0,3,3: 42:[19, 57] Operation: 59-2=57
Moving to Node #0,2
Current State: 42:[19, 59, 32], Operations: ['64-32=32']
Exploring Operation: 19+32=51, Resulting Numbers: [59, 51]
Generated Node #0,2,0: 42:[59, 51] Operation: 19+32=51
Exploring Operation: 59-32=27, Resulting Numbers: [19, 27]
Generated Node #0,2,1: 42:[19, 27] Operation: 59-32=27
Exploring Operation: 59-19=40, Resulting Numbers: [32, 40]
Generated Node #0,2,2: 42:[32, 40] Operation: 59-19=40
Exploring Operation: 32-19=13, Resulting Numbers: [59, 13]
Generated Node #0,2,3: 42:[59, 13] Operation: 32-19=13
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 42:[19, 27], Operations: ['64-32=32', '59-32=27']
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 19*27=513, Resulting Numbers: [513]
513,42 unequal: No Solution
Exploring Operation: 19+27=46, Resulting Numbers: [46]
46,42 unequal: No Solution
No 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: 42:[32, 40], Operations: ['64-32=32', '59-19=40']
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,42 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,42 unequal: No Solution
No 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: 42:[59, 13], Operations: ['64-32=32', '32-19=13']
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 59*13=767, Resulting Numbers: [767]
767,42 unequal: No Solution
No 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: 42:[59, 51], Operations: ['64-32=32', '19+32=51']
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,42 unequal: No Solution
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,42 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,42 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: 42:[59, 32, 45], Operations: ['64-19=45']
Exploring Operation: 59+32=91, Resulting Numbers: [45, 91]
Generated Node #0,1,0: 42:[45, 91] Operation: 59+32=91
Exploring Operation: 59-32=27, Resulting Numbers: [45, 27]
Generated Node #0,1,1: 42:[45, 27] Operation: 59-32=27
Exploring Operation: 45-32=13, Resulting Numbers: [59, 13]
Generated Node #0,1,2: 42:[59, 13] Operation: 45-32=13
Exploring Operation: 59-45=14, Resulting Numbers: [32, 14]
Generated Node #0,1,3: 42:[32, 14] Operation: 59-45=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[45, 27], Operations: ['64-19=45', '59-32=27']
Exploring Operation: 45+27=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 45*27=1215, Resulting Numbers: [1215]
1215,42 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,42 unequal: No Solution
No 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: 42:[32, 14], Operations: ['64-19=45', '59-45=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,42 unequal: No Solution
No 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: 42:[59, 13], Operations: ['64-19=45', '45-32=13']
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 59*13=767, Resulting Numbers: [767]
767,42 unequal: No Solution
No 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: 42:[45, 91], Operations: ['64-19=45', '59+32=91']
Exploring Operation: 45*91=4095, Resulting Numbers: [4095]
4095,42 unequal: No Solution
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 45+91=136, Resulting Numbers: [136]
136,42 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: 42:[2, 40], Operations: ['64/32=2', '59-19=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,42 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[64, 19, 59, 32], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [19, 59, 2]
Generated Node #0,3: 42:[19, 59, 2] Operation: 64/32=2
Moving to Node #0,3
Current State: 42:[19, 59, 2], Operations: ['64/32=2']
Exploring Operation: 59-19=40, Resulting Numbers: [2, 40]
Generated Node #0,3,2: 42:[2, 40] Operation: 59-19=40
Moving to Node #0,3,2
Current State: 42:[2, 40], Operations: ['64/32=2', '59-19=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.946181 | hs_4 | mult_heuristic |
[
96,
3,
61,
21
] | 14 | [
"3+61=64",
"21*64=1344",
"1344/96=14"
] | Current State: 14:[96, 3, 61, 21], Operations: []
Exploring Operation: 3+61=64, Resulting Numbers: [96, 21, 64]
Generated Node #2: [96, 21, 64] from Operation: 3+61=64
Current State: 14:[96, 21, 64], Operations: ['3+61=64']
Exploring Operation: 21*64=1344, Resulting Numbers: [96, 1344]
Generated Node #3: [96, 1344] from Operation: 21*64=1344
Current State: 14:[96, 1344], Operations: ['3+61=64', '21*64=1344']
Exploring Operation: 1344/96=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[96, 3, 61, 21], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [3, 21, 35]
Generated Node #0,0: 14:[3, 21, 35] Operation: 96-61=35
Exploring Operation: 96-21=75, Resulting Numbers: [3, 61, 75]
Generated Node #0,1: 14:[3, 61, 75] Operation: 96-21=75
Exploring Operation: 96/3=32, Resulting Numbers: [61, 21, 32]
Generated Node #0,2: 14:[61, 21, 32] Operation: 96/3=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[3, 21, 35], Operations: ['96-61=35']
Exploring Operation: 21-3=18, Resulting Numbers: [35, 18]
Generated Node #0,0,0: 14:[35, 18] Operation: 21-3=18
Exploring Operation: 21/3=7, Resulting Numbers: [35, 7]
Generated Node #0,0,1: 14:[35, 7] Operation: 21/3=7
Exploring Operation: 35-21=14, Resulting Numbers: [3, 14]
Generated Node #0,0,2: 14:[3, 14] Operation: 35-21=14
Moving to Node #0,0,2
Current State: 14:[3, 14], Operations: ['96-61=35', '35-21=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[35, 7], Operations: ['96-61=35', '21/3=7']
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[35, 18], Operations: ['96-61=35', '21-3=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 35*18=630, Resulting Numbers: [630]
630,14 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[61, 21, 32], Operations: ['96/3=32']
Exploring Operation: 61-21=40, Resulting Numbers: [32, 40]
Generated Node #0,2,0: 14:[32, 40] Operation: 61-21=40
Exploring Operation: 32-21=11, Resulting Numbers: [61, 11]
Generated Node #0,2,1: 14:[61, 11] Operation: 32-21=11
Exploring Operation: 61-32=29, Resulting Numbers: [21, 29]
Generated Node #0,2,2: 14:[21, 29] Operation: 61-32=29
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 14:[21, 29], Operations: ['96/3=32', '61-32=29']
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Exploring Operation: 21*29=609, Resulting Numbers: [609]
609,14 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 14:[32, 40], Operations: ['96/3=32', '61-21=40']
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,14 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 14:[61, 11], Operations: ['96/3=32', '32-21=11']
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,14 unequal: No Solution
Exploring Operation: 61+11=72, Resulting Numbers: [72]
72,14 unequal: No Solution
Exploring Operation: 61*11=671, Resulting Numbers: [671]
671,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[3, 61, 75], Operations: ['96-21=75']
Exploring Operation: 75-61=14, Resulting Numbers: [3, 14]
Generated Node #0,1,0: 14:[3, 14] Operation: 75-61=14
Exploring Operation: 75/3=25, Resulting Numbers: [61, 25]
Generated Node #0,1,1: 14:[61, 25] Operation: 75/3=25
Exploring Operation: 61-3=58, Resulting Numbers: [75, 58]
Generated Node #0,1,2: 14:[75, 58] Operation: 61-3=58
Moving to Node #0,1,0
Current State: 14:[3, 14], Operations: ['96-21=75', '75-61=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[61, 25], Operations: ['96-21=75', '75/3=25']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 61*25=1525, Resulting Numbers: [1525]
1525,14 unequal: No Solution
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[75, 58], Operations: ['96-21=75', '61-3=58']
Exploring Operation: 75*58=4350, Resulting Numbers: [4350]
4350,14 unequal: No Solution
Exploring Operation: 75+58=133, Resulting Numbers: [133]
133,14 unequal: No Solution
Exploring Operation: 75-58=17, Resulting Numbers: [17]
17,14 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 |
[
60,
21,
65,
85
] | 20 | [
"65-60=5",
"21*5=105",
"105-85=20"
] | Current State: 20:[60, 21, 65, 85], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [21, 85, 5]
Generated Node #2: [21, 85, 5] from Operation: 65-60=5
Current State: 20:[21, 85, 5], Operations: ['65-60=5']
Exploring Operation: 21*5=105, Resulting Numbers: [85, 105]
Generated Node #3: [85, 105] from Operation: 21*5=105
Current State: 20:[85, 105], Operations: ['65-60=5', '21*5=105']
Exploring Operation: 105-85=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[60, 21, 65, 85], Operations: []
Exploring Operation: 85-65=20, Resulting Numbers: [60, 21, 20]
Generated Node #0,0: 20:[60, 21, 20] Operation: 85-65=20
Moving to Node #0,0
Current State: 20:[60, 21, 20], Operations: ['85-65=20']
Exploring Operation: 60/20=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 20:[21, 3] Operation: 60/20=3
Moving to Node #0,0,0
Current State: 20:[21, 3], Operations: ['85-65=20', '60/20=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,20 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
9,
63,
52,
49
] | 66 | [
"52-49=3",
"9/3=3",
"63+3=66"
] | Current State: 66:[9, 63, 52, 49], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [9, 63, 3]
Generated Node #2: [9, 63, 3] from Operation: 52-49=3
Current State: 66:[9, 63, 3], Operations: ['52-49=3']
Exploring Operation: 9/3=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 9/3=3
Current State: 66:[63, 3], Operations: ['52-49=3', '9/3=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[9, 63, 52, 49], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [9, 63, 3]
Generated Node #0,0: 66:[9, 63, 3] Operation: 52-49=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[9, 63, 3], Operations: ['52-49=3']
Exploring Operation: 63/9=7, Resulting Numbers: [3, 7]
Generated Node #0,0,0: 66:[3, 7] Operation: 63/9=7
Moving to Node #0,0,0
Current State: 66:[3, 7], Operations: ['52-49=3', '63/9=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
48,
3,
5,
5
] | 15 | [
"48/3=16",
"5/5=1",
"16-1=15"
] | Current State: 15:[48, 3, 5, 5], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [5, 5, 16]
Generated Node #2: [5, 5, 16] from Operation: 48/3=16
Current State: 15:[5, 5, 16], Operations: ['48/3=16']
Exploring Operation: 5/5=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 5/5=1
Current State: 15:[16, 1], Operations: ['48/3=16', '5/5=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[48, 3, 5, 5], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [5, 5, 16]
Generated Node #0,0: 15:[5, 5, 16] Operation: 48/3=16
Exploring Operation: 48-5=43, Resulting Numbers: [3, 5, 43]
Generated Node #0,1: 15:[3, 5, 43] Operation: 48-5=43
Moving to Node #0,0
Current State: 15:[5, 5, 16], Operations: ['48/3=16']
Exploring Operation: 5/5=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 15:[16, 1] Operation: 5/5=1
Exploring Operation: 5-5=0, Resulting Numbers: [16, 0]
Generated Node #0,0,1: 15:[16, 0] Operation: 5-5=0
Moving to Node #0,1
Current State: 15:[3, 5, 43], Operations: ['48-5=43']
Exploring Operation: 43-5=38, Resulting Numbers: [3, 38]
Generated Node #0,1,0: 15:[3, 38] Operation: 43-5=38
Exploring Operation: 43-3=40, Resulting Numbers: [5, 40]
Generated Node #0,1,1: 15:[5, 40] Operation: 43-3=40
Moving to Node #0,0,0
Current State: 15:[16, 1], Operations: ['48/3=16', '5/5=1']
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:[48, 3, 5, 5], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [5, 5, 16]
Generated Node #0,0: 15:[5, 5, 16] Operation: 48/3=16
Moving to Node #0,0
Current State: 15:[5, 5, 16], Operations: ['48/3=16']
Exploring Operation: 5/5=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 15:[16, 1] Operation: 5/5=1
Moving to Node #0,0,0
Current State: 15:[16, 1], Operations: ['48/3=16', '5/5=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
40,
20,
5,
14
] | 26 | [
"40+20=60",
"60/5=12",
"14+12=26"
] | Current State: 26:[40, 20, 5, 14], Operations: []
Exploring Operation: 40+20=60, Resulting Numbers: [5, 14, 60]
Generated Node #2: [5, 14, 60] from Operation: 40+20=60
Current State: 26:[5, 14, 60], Operations: ['40+20=60']
Exploring Operation: 60/5=12, Resulting Numbers: [14, 12]
Generated Node #3: [14, 12] from Operation: 60/5=12
Current State: 26:[14, 12], Operations: ['40+20=60', '60/5=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[40, 20, 5, 14], Operations: []
Exploring Operation: 40-14=26, Resulting Numbers: [20, 5, 26]
Generated Node #0,0: 26:[20, 5, 26] Operation: 40-14=26
Exploring Operation: 40/20=2, Resulting Numbers: [5, 14, 2]
Generated Node #0,1: 26:[5, 14, 2] Operation: 40/20=2
Exploring Operation: 40-20=20, Resulting Numbers: [5, 14, 20]
Generated Node #0,2: 26:[5, 14, 20] Operation: 40-20=20
Exploring Operation: 40/5=8, Resulting Numbers: [20, 14, 8]
Generated Node #0,3: 26:[20, 14, 8] Operation: 40/5=8
Exploring Operation: 40-5=35, Resulting Numbers: [20, 14, 35]
Generated Node #0,4: 26:[20, 14, 35] Operation: 40-5=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[5, 14, 2], Operations: ['40/20=2']
Exploring Operation: 5-2=3, Resulting Numbers: [14, 3]
Generated Node #0,1,0: 26:[14, 3] Operation: 5-2=3
Exploring Operation: 14-5=9, Resulting Numbers: [2, 9]
Generated Node #0,1,1: 26:[2, 9] Operation: 14-5=9
Exploring Operation: 5*2=10, Resulting Numbers: [14, 10]
Generated Node #0,1,2: 26:[14, 10] Operation: 5*2=10
Exploring Operation: 14-2=12, Resulting Numbers: [5, 12]
Generated Node #0,1,3: 26:[5, 12] Operation: 14-2=12
Exploring Operation: 14*2=28, Resulting Numbers: [5, 28]
Generated Node #0,1,4: 26:[5, 28] Operation: 14*2=28
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 26:[14, 3], Operations: ['40/20=2', '5-2=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[2, 9], Operations: ['40/20=2', '14-5=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[14, 10], Operations: ['40/20=2', '5*2=10']
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,26 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 26:[5, 12], Operations: ['40/20=2', '14-2=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 26:[5, 28], Operations: ['40/20=2', '14*2=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,26 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[20, 5, 26], Operations: ['40-14=26']
Exploring Operation: 5+26=31, Resulting Numbers: [20, 31]
Generated Node #0,0,0: 26:[20, 31] Operation: 5+26=31
Exploring Operation: 20/5=4, Resulting Numbers: [26, 4]
Generated Node #0,0,1: 26:[26, 4] Operation: 20/5=4
Exploring Operation: 26-20=6, Resulting Numbers: [5, 6]
Generated Node #0,0,2: 26:[5, 6] Operation: 26-20=6
Exploring Operation: 20+5=25, Resulting Numbers: [26, 25]
Generated Node #0,0,3: 26:[26, 25] Operation: 20+5=25
Exploring Operation: 20-5=15, Resulting Numbers: [26, 15]
Generated Node #0,0,4: 26:[26, 15] Operation: 20-5=15
Moving to Node #0,0,3
Current State: 26:[26, 25], Operations: ['40-14=26', '20+5=25']
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,26 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,26 unequal: No Solution
Moving to Node #0,0,4
Current State: 26:[26, 15], Operations: ['40-14=26', '20-5=15']
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,26 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[26, 4], Operations: ['40-14=26', '20/5=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,26 unequal: No Solution
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[5, 6], Operations: ['40-14=26', '26-20=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[20, 31], Operations: ['40-14=26', '5+26=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,26 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[5, 14, 20], Operations: ['40-20=20']
Exploring Operation: 5+20=25, Resulting Numbers: [14, 25]
Generated Node #0,2,0: 26:[14, 25] Operation: 5+20=25
Exploring Operation: 20-14=6, Resulting Numbers: [5, 6]
Generated Node #0,2,1: 26:[5, 6] Operation: 20-14=6
Exploring Operation: 20/5=4, Resulting Numbers: [14, 4]
Generated Node #0,2,2: 26:[14, 4] Operation: 20/5=4
Exploring Operation: 14-5=9, Resulting Numbers: [20, 9]
Generated Node #0,2,3: 26:[20, 9] Operation: 14-5=9
Exploring Operation: 20-5=15, Resulting Numbers: [14, 15]
Generated Node #0,2,4: 26:[14, 15] Operation: 20-5=15
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 26:[14, 25], Operations: ['40-20=20', '5+20=25']
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,26 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 26:[14, 4], Operations: ['40-20=20', '20/5=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 26:[14, 15], Operations: ['40-20=20', '20-5=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,26 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 26:[5, 6], Operations: ['40-20=20', '20-14=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 26:[20, 9], Operations: ['40-20=20', '14-5=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,26 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,26 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[20, 14, 8], Operations: ['40/5=8']
Exploring Operation: 20+8=28, Resulting Numbers: [14, 28]
Generated Node #0,3,0: 26:[14, 28] Operation: 20+8=28
Exploring Operation: 20-14=6, Resulting Numbers: [8, 6]
Generated Node #0,3,1: 26:[8, 6] Operation: 20-14=6
Exploring Operation: 14-8=6, Resulting Numbers: [20, 6]
Generated Node #0,3,2: 26:[20, 6] Operation: 14-8=6
Exploring Operation: 14+8=22, Resulting Numbers: [20, 22]
Generated Node #0,3,3: 26:[20, 22] Operation: 14+8=22
Exploring Operation: 20-8=12, Resulting Numbers: [14, 12]
Generated Node #0,3,4: 26:[14, 12] Operation: 20-8=12
Moving to Node #0,3,4
Current State: 26:[14, 12], Operations: ['40/5=8', '20-8=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[40, 20, 5, 14], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [20, 14, 8]
Generated Node #0,3: 26:[20, 14, 8] Operation: 40/5=8
Moving to Node #0,3
Current State: 26:[20, 14, 8], Operations: ['40/5=8']
Exploring Operation: 20-8=12, Resulting Numbers: [14, 12]
Generated Node #0,3,4: 26:[14, 12] Operation: 20-8=12
Moving to Node #0,3,4
Current State: 26:[14, 12], Operations: ['40/5=8', '20-8=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.934896 | hs_5 | mult_heuristic |
[
7,
21,
71,
70
] | 13 | [
"21-7=14",
"71-70=1",
"14-1=13"
] | Current State: 13:[7, 21, 71, 70], Operations: []
Exploring Operation: 21-7=14, Resulting Numbers: [71, 70, 14]
Generated Node #2: [71, 70, 14] from Operation: 21-7=14
Current State: 13:[71, 70, 14], Operations: ['21-7=14']
Exploring Operation: 71-70=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 71-70=1
Current State: 13:[14, 1], Operations: ['21-7=14', '71-70=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[7, 21, 71, 70], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [7, 21, 1]
Generated Node #0,0: 13:[7, 21, 1] Operation: 71-70=1
Exploring Operation: 70/7=10, Resulting Numbers: [21, 71, 10]
Generated Node #0,1: 13:[21, 71, 10] Operation: 70/7=10
Exploring Operation: 71-21=50, Resulting Numbers: [7, 70, 50]
Generated Node #0,2: 13:[7, 70, 50] Operation: 71-21=50
Exploring Operation: 70-21=49, Resulting Numbers: [7, 71, 49]
Generated Node #0,3: 13:[7, 71, 49] Operation: 70-21=49
Moving to Node #0,0
Current State: 13:[7, 21, 1], Operations: ['71-70=1']
Exploring Operation: 21-7=14, Resulting Numbers: [1, 14]
Generated Node #0,0,0: 13:[1, 14] Operation: 21-7=14
Exploring Operation: 7*1=7, Resulting Numbers: [21, 7]
Generated Node #0,0,1: 13:[21, 7] Operation: 7*1=7
Exploring Operation: 21-1=20, Resulting Numbers: [7, 20]
Generated Node #0,0,2: 13:[7, 20] Operation: 21-1=20
Exploring Operation: 7+1=8, Resulting Numbers: [21, 8]
Generated Node #0,0,3: 13:[21, 8] Operation: 7+1=8
Moving to Node #0,1
Current State: 13:[21, 71, 10], Operations: ['70/7=10']
Exploring Operation: 71-10=61, Resulting Numbers: [21, 61]
Generated Node #0,1,0: 13:[21, 61] Operation: 71-10=61
Exploring Operation: 71-21=50, Resulting Numbers: [10, 50]
Generated Node #0,1,1: 13:[10, 50] Operation: 71-21=50
Exploring Operation: 21+10=31, Resulting Numbers: [71, 31]
Generated Node #0,1,2: 13:[71, 31] Operation: 21+10=31
Exploring Operation: 21-10=11, Resulting Numbers: [71, 11]
Generated Node #0,1,3: 13:[71, 11] Operation: 21-10=11
Moving to Node #0,3
Current State: 13:[7, 71, 49], Operations: ['70-21=49']
Exploring Operation: 49-7=42, Resulting Numbers: [71, 42]
Generated Node #0,3,0: 13:[71, 42] Operation: 49-7=42
Exploring Operation: 49/7=7, Resulting Numbers: [71, 7]
Generated Node #0,3,1: 13:[71, 7] Operation: 49/7=7
Exploring Operation: 71-49=22, Resulting Numbers: [7, 22]
Generated Node #0,3,2: 13:[7, 22] Operation: 71-49=22
Exploring Operation: 71-7=64, Resulting Numbers: [49, 64]
Generated Node #0,3,3: 13:[49, 64] Operation: 71-7=64
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 13:[7, 22], Operations: ['70-21=49', '71-49=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,13 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,13 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 #0,3,1
Current State: 13:[71, 7], Operations: ['70-21=49', '49/7=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,13 unequal: No Solution
Exploring Operation: 71*7=497, Resulting Numbers: [497]
497,13 unequal: No Solution
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,13 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 #0,3,0
Current State: 13:[71, 42], Operations: ['70-21=49', '49-7=42']
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 71*42=2982, Resulting Numbers: [2982]
2982,13 unequal: No Solution
Exploring Operation: 71+42=113, Resulting Numbers: [113]
113,13 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 #0,3,3
Current State: 13:[49, 64], Operations: ['70-21=49', '71-7=64']
Exploring Operation: 49+64=113, Resulting Numbers: [113]
113,13 unequal: No Solution
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 49*64=3136, Resulting Numbers: [3136]
3136,13 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: 13:[7, 70, 50], Operations: ['71-21=50']
Exploring Operation: 70-7=63, Resulting Numbers: [50, 63]
Generated Node #0,2,0: 13:[50, 63] Operation: 70-7=63
Exploring Operation: 70/7=10, Resulting Numbers: [50, 10]
Generated Node #0,2,1: 13:[50, 10] Operation: 70/7=10
Exploring Operation: 70-50=20, Resulting Numbers: [7, 20]
Generated Node #0,2,2: 13:[7, 20] Operation: 70-50=20
Exploring Operation: 50-7=43, Resulting Numbers: [70, 43]
Generated Node #0,2,3: 13:[70, 43] Operation: 50-7=43
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 13:[7, 20], Operations: ['71-21=50', '70-50=20']
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,13 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[7, 21, 71, 70], Operations: []
Exploring Operation: 71-21=50, Resulting Numbers: [7, 70, 50]
Generated Node #0,2: 13:[7, 70, 50] Operation: 71-21=50
Moving to Node #0,2
Current State: 13:[7, 70, 50], Operations: ['71-21=50']
Exploring Operation: 70-50=20, Resulting Numbers: [7, 20]
Generated Node #0,2,2: 13:[7, 20] Operation: 70-50=20
Moving to Node #0,2,2
Current State: 13:[7, 20], Operations: ['71-21=50', '70-50=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_4 | sum_heuristic |
[
84,
65,
94,
14
] | 61 | [
"84-65=19",
"94-14=80",
"80-19=61"
] | Current State: 61:[84, 65, 94, 14], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [94, 14, 19]
Generated Node #2: [94, 14, 19] from Operation: 84-65=19
Current State: 61:[94, 14, 19], Operations: ['84-65=19']
Exploring Operation: 94-14=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 94-14=80
Current State: 61:[19, 80], Operations: ['84-65=19', '94-14=80']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[84, 65, 94, 14], Operations: []
Exploring Operation: 94-14=80, Resulting Numbers: [84, 65, 80]
Generated Node #0,0: 61:[84, 65, 80] Operation: 94-14=80
Exploring Operation: 84-14=70, Resulting Numbers: [65, 94, 70]
Generated Node #0,1: 61:[65, 94, 70] Operation: 84-14=70
Moving to Node #0,0
Current State: 61:[84, 65, 80], Operations: ['94-14=80']
Exploring Operation: 84-65=19, Resulting Numbers: [80, 19]
Generated Node #0,0,0: 61:[80, 19] Operation: 84-65=19
Exploring Operation: 84-80=4, Resulting Numbers: [65, 4]
Generated Node #0,0,1: 61:[65, 4] Operation: 84-80=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[80, 19], Operations: ['94-14=80', '84-65=19']
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,61 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[84, 65, 94, 14], Operations: []
Exploring Operation: 94-14=80, Resulting Numbers: [84, 65, 80]
Generated Node #0,0: 61:[84, 65, 80] Operation: 94-14=80
Moving to Node #0,0
Current State: 61:[84, 65, 80], Operations: ['94-14=80']
Exploring Operation: 84-65=19, Resulting Numbers: [80, 19]
Generated Node #0,0,0: 61:[80, 19] Operation: 84-65=19
Moving to Node #0,0,0
Current State: 61:[80, 19], Operations: ['94-14=80', '84-65=19']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
87,
6,
45,
51
] | 15 | [
"87-6=81",
"45+51=96",
"96-81=15"
] | Current State: 15:[87, 6, 45, 51], Operations: []
Exploring Operation: 87-6=81, Resulting Numbers: [45, 51, 81]
Generated Node #2: [45, 51, 81] from Operation: 87-6=81
Current State: 15:[45, 51, 81], Operations: ['87-6=81']
Exploring Operation: 45+51=96, Resulting Numbers: [81, 96]
Generated Node #3: [81, 96] from Operation: 45+51=96
Current State: 15:[81, 96], Operations: ['87-6=81', '45+51=96']
Exploring Operation: 96-81=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[87, 6, 45, 51], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [6, 45, 36]
Generated Node #0,0: 15:[6, 45, 36] Operation: 87-51=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[6, 45, 36], Operations: ['87-51=36']
Exploring Operation: 45-36=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 15:[6, 9] Operation: 45-36=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[6, 9], Operations: ['87-51=36', '45-36=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[87, 6, 45, 51], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [6, 45, 36]
Generated Node #0,0: 15:[6, 45, 36] Operation: 87-51=36
Moving to Node #0,0
Current State: 15:[6, 45, 36], Operations: ['87-51=36']
Exploring Operation: 45-36=9, Resulting Numbers: [6, 9]
Generated Node #0,0,0: 15:[6, 9] Operation: 45-36=9
Moving to Node #0,0,0
Current State: 15:[6, 9], Operations: ['87-51=36', '45-36=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
17,
68,
79,
2
] | 45 | [
"17*2=34",
"79-68=11",
"34+11=45"
] | Current State: 45:[17, 68, 79, 2], Operations: []
Exploring Operation: 17*2=34, Resulting Numbers: [68, 79, 34]
Generated Node #2: [68, 79, 34] from Operation: 17*2=34
Current State: 45:[68, 79, 34], Operations: ['17*2=34']
Exploring Operation: 79-68=11, Resulting Numbers: [34, 11]
Generated Node #3: [34, 11] from Operation: 79-68=11
Current State: 45:[34, 11], Operations: ['17*2=34', '79-68=11']
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[17, 68, 79, 2], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [79, 2, 4]
Generated Node #0,0: 45:[79, 2, 4] Operation: 68/17=4
Exploring Operation: 79-68=11, Resulting Numbers: [17, 2, 11]
Generated Node #0,1: 45:[17, 2, 11] Operation: 79-68=11
Exploring Operation: 68-17=51, Resulting Numbers: [79, 2, 51]
Generated Node #0,2: 45:[79, 2, 51] Operation: 68-17=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[17, 2, 11], Operations: ['79-68=11']
Exploring Operation: 17-11=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 45:[2, 6] Operation: 17-11=6
Exploring Operation: 17-2=15, Resulting Numbers: [11, 15]
Generated Node #0,1,1: 45:[11, 15] Operation: 17-2=15
Exploring Operation: 11-2=9, Resulting Numbers: [17, 9]
Generated Node #0,1,2: 45:[17, 9] Operation: 11-2=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[2, 6], Operations: ['79-68=11', '17-11=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,45 unequal: No Solution
No 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: 45:[11, 15], Operations: ['79-68=11', '17-2=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,45 unequal: No Solution
No 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: 45:[17, 9], Operations: ['79-68=11', '11-2=9']
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,45 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: 45:[79, 2, 4], Operations: ['68/17=4']
Exploring Operation: 2+4=6, Resulting Numbers: [79, 6]
Generated Node #0,0,0: 45:[79, 6] Operation: 2+4=6
Exploring Operation: 79-4=75, Resulting Numbers: [2, 75]
Generated Node #0,0,1: 45:[2, 75] Operation: 79-4=75
Exploring Operation: 79-2=77, Resulting Numbers: [4, 77]
Generated Node #0,0,2: 45:[4, 77] Operation: 79-2=77
Moving to Node #0,0,1
Current State: 45:[2, 75], Operations: ['68/17=4', '79-4=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,45 unequal: No Solution
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,45 unequal: No Solution
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[4, 77], Operations: ['68/17=4', '79-2=77']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,45 unequal: No Solution
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,45 unequal: No Solution
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[79, 6], Operations: ['68/17=4', '2+4=6']
Exploring Operation: 79*6=474, Resulting Numbers: [474]
474,45 unequal: No Solution
Exploring Operation: 79+6=85, Resulting Numbers: [85]
85,45 unequal: No Solution
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,45 unequal: No Solution
No 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: 45:[79, 2, 51], Operations: ['68-17=51']
Exploring Operation: 79-51=28, Resulting Numbers: [2, 28]
Generated Node #0,2,0: 45:[2, 28] Operation: 79-51=28
Exploring Operation: 51-2=49, Resulting Numbers: [79, 49]
Generated Node #0,2,1: 45:[79, 49] Operation: 51-2=49
Exploring Operation: 79-2=77, Resulting Numbers: [51, 77]
Generated Node #0,2,2: 45:[51, 77] Operation: 79-2=77
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 45:[2, 28], Operations: ['68-17=51', '79-51=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,45 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,45 unequal: No Solution
No 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: 45:[79, 49], Operations: ['68-17=51', '51-2=49']
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,45 unequal: No Solution
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,45 unequal: No Solution
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,45 unequal: No Solution
No 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: 45:[51, 77], Operations: ['68-17=51', '79-2=77']
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 51+77=128, Resulting Numbers: [128]
128,45 unequal: No Solution
Exploring Operation: 51*77=3927, Resulting Numbers: [3927]
3927,45 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 |
[
63,
67,
14,
9
] | 27 | [
"67-63=4",
"14+9=23",
"4+23=27"
] | Current State: 27:[63, 67, 14, 9], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [14, 9, 4]
Generated Node #2: [14, 9, 4] from Operation: 67-63=4
Current State: 27:[14, 9, 4], Operations: ['67-63=4']
Exploring Operation: 14+9=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 14+9=23
Current State: 27:[4, 23], Operations: ['67-63=4', '14+9=23']
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[63, 67, 14, 9], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [14, 9, 4]
Generated Node #0,0: 27:[14, 9, 4] Operation: 67-63=4
Exploring Operation: 63-14=49, Resulting Numbers: [67, 9, 49]
Generated Node #0,1: 27:[67, 9, 49] Operation: 63-14=49
Exploring Operation: 63/9=7, Resulting Numbers: [67, 14, 7]
Generated Node #0,2: 27:[67, 14, 7] Operation: 63/9=7
Exploring Operation: 67-14=53, Resulting Numbers: [63, 9, 53]
Generated Node #0,3: 27:[63, 9, 53] Operation: 67-14=53
Moving to Node #0,0
Current State: 27:[14, 9, 4], Operations: ['67-63=4']
Exploring Operation: 14-9=5, Resulting Numbers: [4, 5]
Generated Node #0,0,0: 27:[4, 5] Operation: 14-9=5
Exploring Operation: 9-4=5, Resulting Numbers: [14, 5]
Generated Node #0,0,1: 27:[14, 5] Operation: 9-4=5
Exploring Operation: 14-4=10, Resulting Numbers: [9, 10]
Generated Node #0,0,2: 27:[9, 10] Operation: 14-4=10
Exploring Operation: 14+9=23, Resulting Numbers: [4, 23]
Generated Node #0,0,3: 27:[4, 23] Operation: 14+9=23
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 27:[9, 10], Operations: ['67-63=4', '14-4=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[4, 5], Operations: ['67-63=4', '14-9=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 27:[4, 23], Operations: ['67-63=4', '14+9=23']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,27 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[63, 67, 14, 9], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [14, 9, 4]
Generated Node #0,0: 27:[14, 9, 4] Operation: 67-63=4
Moving to Node #0,0
Current State: 27:[14, 9, 4], Operations: ['67-63=4']
Exploring Operation: 14+9=23, Resulting Numbers: [4, 23]
Generated Node #0,0,3: 27:[4, 23] Operation: 14+9=23
Moving to Node #0,0,3
Current State: 27:[4, 23], Operations: ['67-63=4', '14+9=23']
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
54,
64,
21,
32
] | 64 | [
"54-21=33",
"33-32=1",
"64*1=64"
] | Current State: 64:[54, 64, 21, 32], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [64, 32, 33]
Generated Node #2: [64, 32, 33] from Operation: 54-21=33
Current State: 64:[64, 32, 33], Operations: ['54-21=33']
Exploring Operation: 33-32=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 33-32=1
Current State: 64:[64, 1], Operations: ['54-21=33', '33-32=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[54, 64, 21, 32], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [64, 32, 33]
Generated Node #0,0: 64:[64, 32, 33] Operation: 54-21=33
Exploring Operation: 54-32=22, Resulting Numbers: [64, 21, 22]
Generated Node #0,1: 64:[64, 21, 22] Operation: 54-32=22
Exploring Operation: 64-54=10, Resulting Numbers: [21, 32, 10]
Generated Node #0,2: 64:[21, 32, 10] Operation: 64-54=10
Exploring Operation: 54+21=75, Resulting Numbers: [64, 32, 75]
Generated Node #0,3: 64:[64, 32, 75] Operation: 54+21=75
Exploring Operation: 32-21=11, Resulting Numbers: [54, 64, 11]
Generated Node #0,4: 64:[54, 64, 11] Operation: 32-21=11
Moving to Node #0,0
Current State: 64:[64, 32, 33], Operations: ['54-21=33']
Exploring Operation: 32+33=65, Resulting Numbers: [64, 65]
Generated Node #0,0,0: 64:[64, 65] Operation: 32+33=65
Exploring Operation: 64-32=32, Resulting Numbers: [33, 32]
Generated Node #0,0,1: 64:[33, 32] Operation: 64-32=32
Exploring Operation: 33-32=1, Resulting Numbers: [64, 1]
Generated Node #0,0,2: 64:[64, 1] Operation: 33-32=1
Exploring Operation: 64/32=2, Resulting Numbers: [33, 2]
Generated Node #0,0,3: 64:[33, 2] Operation: 64/32=2
Exploring Operation: 64-33=31, Resulting Numbers: [32, 31]
Generated Node #0,0,4: 64:[32, 31] Operation: 64-33=31
Moving to Node #0,2
Current State: 64:[21, 32, 10], Operations: ['64-54=10']
Exploring Operation: 21+10=31, Resulting Numbers: [32, 31]
Generated Node #0,2,0: 64:[32, 31] Operation: 21+10=31
Exploring Operation: 32-21=11, Resulting Numbers: [10, 11]
Generated Node #0,2,1: 64:[10, 11] Operation: 32-21=11
Exploring Operation: 21+32=53, Resulting Numbers: [10, 53]
Generated Node #0,2,2: 64:[10, 53] Operation: 21+32=53
Exploring Operation: 32-10=22, Resulting Numbers: [21, 22]
Generated Node #0,2,3: 64:[21, 22] Operation: 32-10=22
Exploring Operation: 21-10=11, Resulting Numbers: [32, 11]
Generated Node #0,2,4: 64:[32, 11] Operation: 21-10=11
Moving to Node #0,1
Current State: 64:[64, 21, 22], Operations: ['54-32=22']
Exploring Operation: 22-21=1, Resulting Numbers: [64, 1]
Generated Node #0,1,0: 64:[64, 1] Operation: 22-21=1
Exploring Operation: 64-21=43, Resulting Numbers: [22, 43]
Generated Node #0,1,1: 64:[22, 43] Operation: 64-21=43
Exploring Operation: 64+21=85, Resulting Numbers: [22, 85]
Generated Node #0,1,2: 64:[22, 85] Operation: 64+21=85
Exploring Operation: 21+22=43, Resulting Numbers: [64, 43]
Generated Node #0,1,3: 64:[64, 43] Operation: 21+22=43
Exploring Operation: 64-22=42, Resulting Numbers: [21, 42]
Generated Node #0,1,4: 64:[21, 42] Operation: 64-22=42
Moving to Node #0,3
Current State: 64:[64, 32, 75], Operations: ['54+21=75']
Exploring Operation: 64+32=96, Resulting Numbers: [75, 96]
Generated Node #0,3,0: 64:[75, 96] Operation: 64+32=96
Exploring Operation: 75-64=11, Resulting Numbers: [32, 11]
Generated Node #0,3,1: 64:[32, 11] Operation: 75-64=11
Exploring Operation: 64/32=2, Resulting Numbers: [75, 2]
Generated Node #0,3,2: 64:[75, 2] Operation: 64/32=2
Exploring Operation: 64-32=32, Resulting Numbers: [75, 32]
Generated Node #0,3,3: 64:[75, 32] Operation: 64-32=32
Exploring Operation: 75-32=43, Resulting Numbers: [64, 43]
Generated Node #0,3,4: 64:[64, 43] Operation: 75-32=43
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[32, 11], Operations: ['54+21=75', '75-64=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,64 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[75, 2], Operations: ['54+21=75', '64/32=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 75*2=150, Resulting Numbers: [150]
150,64 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[75, 32], Operations: ['54+21=75', '64-32=32']
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,64 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 64:[64, 43], Operations: ['54+21=75', '75-32=43']
Exploring Operation: 64*43=2752, Resulting Numbers: [2752]
2752,64 unequal: No Solution
Exploring Operation: 64+43=107, Resulting Numbers: [107]
107,64 unequal: No Solution
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[75, 96], Operations: ['54+21=75', '64+32=96']
Exploring Operation: 75*96=7200, Resulting Numbers: [7200]
7200,64 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 75+96=171, Resulting Numbers: [171]
171,64 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: 64:[54, 64, 11], Operations: ['32-21=11']
Exploring Operation: 54+11=65, Resulting Numbers: [64, 65]
Generated Node #0,4,0: 64:[64, 65] Operation: 54+11=65
Exploring Operation: 54-11=43, Resulting Numbers: [64, 43]
Generated Node #0,4,1: 64:[64, 43] Operation: 54-11=43
Exploring Operation: 64-54=10, Resulting Numbers: [11, 10]
Generated Node #0,4,2: 64:[11, 10] Operation: 64-54=10
Exploring Operation: 64-11=53, Resulting Numbers: [54, 53]
Generated Node #0,4,3: 64:[54, 53] Operation: 64-11=53
Exploring Operation: 64+11=75, Resulting Numbers: [54, 75]
Generated Node #0,4,4: 64:[54, 75] Operation: 64+11=75
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 64:[64, 65], Operations: ['32-21=11', '54+11=65']
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,64 unequal: No Solution
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,64 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 64:[11, 10], Operations: ['32-21=11', '64-54=10']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,64 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 64:[64, 43], Operations: ['32-21=11', '54-11=43']
Exploring Operation: 64*43=2752, Resulting Numbers: [2752]
2752,64 unequal: No Solution
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 64+43=107, Resulting Numbers: [107]
107,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 64:[54, 53], Operations: ['32-21=11', '64-11=53']
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 54+53=107, Resulting Numbers: [107]
107,64 unequal: No Solution
Exploring Operation: 54*53=2862, Resulting Numbers: [2862]
2862,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 64:[54, 75], Operations: ['32-21=11', '64+11=75']
Exploring Operation: 54*75=4050, Resulting Numbers: [4050]
4050,64 unequal: No Solution
Exploring Operation: 54+75=129, Resulting Numbers: [129]
129,64 unequal: No Solution
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,64 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: 64:[64, 65], Operations: ['54-21=33', '32+33=65']
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,64 unequal: No Solution
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[64, 1], Operations: ['54-21=33', '33-32=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[54, 64, 21, 32], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [64, 32, 33]
Generated Node #0,0: 64:[64, 32, 33] Operation: 54-21=33
Moving to Node #0,0
Current State: 64:[64, 32, 33], Operations: ['54-21=33']
Exploring Operation: 33-32=1, Resulting Numbers: [64, 1]
Generated Node #0,0,2: 64:[64, 1] Operation: 33-32=1
Moving to Node #0,0,2
Current State: 64:[64, 1], Operations: ['54-21=33', '33-32=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.940972 | hs_5 | mult_heuristic |
[
17,
80,
6,
92
] | 90 | [
"17*6=102",
"92-80=12",
"102-12=90"
] | Current State: 90:[17, 80, 6, 92], Operations: []
Exploring Operation: 17*6=102, Resulting Numbers: [80, 92, 102]
Generated Node #2: [80, 92, 102] from Operation: 17*6=102
Current State: 90:[80, 92, 102], Operations: ['17*6=102']
Exploring Operation: 92-80=12, Resulting Numbers: [102, 12]
Generated Node #3: [102, 12] from Operation: 92-80=12
Current State: 90:[102, 12], Operations: ['17*6=102', '92-80=12']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[17, 80, 6, 92], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [17, 6, 12]
Generated Node #0,0: 90:[17, 6, 12] Operation: 92-80=12
Exploring Operation: 17+80=97, Resulting Numbers: [6, 92, 97]
Generated Node #0,1: 90:[6, 92, 97] Operation: 17+80=97
Exploring Operation: 17-6=11, Resulting Numbers: [80, 92, 11]
Generated Node #0,2: 90:[80, 92, 11] Operation: 17-6=11
Exploring Operation: 80+6=86, Resulting Numbers: [17, 92, 86]
Generated Node #0,3: 90:[17, 92, 86] Operation: 80+6=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[17, 6, 12], Operations: ['92-80=12']
Exploring Operation: 12-6=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 90:[17, 6] Operation: 12-6=6
Exploring Operation: 17+12=29, Resulting Numbers: [6, 29]
Generated Node #0,0,1: 90:[6, 29] Operation: 17+12=29
Exploring Operation: 6+12=18, Resulting Numbers: [17, 18]
Generated Node #0,0,2: 90:[17, 18] Operation: 6+12=18
Exploring Operation: 17-12=5, Resulting Numbers: [6, 5]
Generated Node #0,0,3: 90:[6, 5] Operation: 17-12=5
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 90:[6, 5], Operations: ['92-80=12', '17-12=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No 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: 90:[17, 6], Operations: ['92-80=12', '12-6=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,90 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No 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: 90:[6, 29], Operations: ['92-80=12', '17+12=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,90 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,90 unequal: No Solution
No 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: 90:[17, 18], Operations: ['92-80=12', '6+12=18']
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 17*18=306, Resulting Numbers: [306]
306,90 unequal: No Solution
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,90 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: 90:[17, 92, 86], Operations: ['80+6=86']
Exploring Operation: 92-17=75, Resulting Numbers: [86, 75]
Generated Node #0,3,0: 90:[86, 75] Operation: 92-17=75
Exploring Operation: 17+92=109, Resulting Numbers: [86, 109]
Generated Node #0,3,1: 90:[86, 109] Operation: 17+92=109
Exploring Operation: 92-86=6, Resulting Numbers: [17, 6]
Generated Node #0,3,2: 90:[17, 6] Operation: 92-86=6
Exploring Operation: 17+86=103, Resulting Numbers: [92, 103]
Generated Node #0,3,3: 90:[92, 103] Operation: 17+86=103
Moving to Node #0,3,2
Current State: 90:[17, 6], Operations: ['80+6=86', '92-86=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,90 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[92, 103], Operations: ['80+6=86', '17+86=103']
Exploring Operation: 92+103=195, Resulting Numbers: [195]
195,90 unequal: No Solution
Exploring Operation: 92*103=9476, Resulting Numbers: [9476]
9476,90 unequal: No Solution
Exploring Operation: 103-92=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[86, 75], Operations: ['80+6=86', '92-17=75']
Exploring Operation: 86+75=161, Resulting Numbers: [161]
161,90 unequal: No Solution
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 86*75=6450, Resulting Numbers: [6450]
6450,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[86, 109], Operations: ['80+6=86', '17+92=109']
Exploring Operation: 86*109=9374, Resulting Numbers: [9374]
9374,90 unequal: No Solution
Exploring Operation: 86+109=195, Resulting Numbers: [195]
195,90 unequal: No Solution
Exploring Operation: 109-86=23, Resulting Numbers: [23]
23,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[6, 92, 97], Operations: ['17+80=97']
Exploring Operation: 92-6=86, Resulting Numbers: [97, 86]
Generated Node #0,1,0: 90:[97, 86] Operation: 92-6=86
Exploring Operation: 97-6=91, Resulting Numbers: [92, 91]
Generated Node #0,1,1: 90:[92, 91] Operation: 97-6=91
Exploring Operation: 6+92=98, Resulting Numbers: [97, 98]
Generated Node #0,1,2: 90:[97, 98] Operation: 6+92=98
Exploring Operation: 97-92=5, Resulting Numbers: [6, 5]
Generated Node #0,1,3: 90:[6, 5] Operation: 97-92=5
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 90:[6, 5], Operations: ['17+80=97', '97-92=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,90 unequal: No Solution
No 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: 90:[92, 91], Operations: ['17+80=97', '97-6=91']
Exploring Operation: 92-91=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 92+91=183, Resulting Numbers: [183]
183,90 unequal: No Solution
Exploring Operation: 92*91=8372, Resulting Numbers: [8372]
8372,90 unequal: No Solution
No 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: 90:[97, 86], Operations: ['17+80=97', '92-6=86']
Exploring Operation: 97+86=183, Resulting Numbers: [183]
183,90 unequal: No Solution
Exploring Operation: 97-86=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 97*86=8342, Resulting Numbers: [8342]
8342,90 unequal: No Solution
No 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: 90:[97, 98], Operations: ['17+80=97', '6+92=98']
Exploring Operation: 97*98=9506, Resulting Numbers: [9506]
9506,90 unequal: No Solution
Exploring Operation: 98-97=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 97+98=195, Resulting Numbers: [195]
195,90 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: 90:[80, 92, 11], Operations: ['17-6=11']
Exploring Operation: 92-11=81, Resulting Numbers: [80, 81]
Generated Node #0,2,0: 90:[80, 81] Operation: 92-11=81
Exploring Operation: 80+11=91, Resulting Numbers: [92, 91]
Generated Node #0,2,1: 90:[92, 91] Operation: 80+11=91
Exploring Operation: 80-11=69, Resulting Numbers: [92, 69]
Generated Node #0,2,2: 90:[92, 69] Operation: 80-11=69
Exploring Operation: 92-80=12, Resulting Numbers: [11, 12]
Generated Node #0,2,3: 90:[11, 12] Operation: 92-80=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 90:[92, 91], Operations: ['17-6=11', '80+11=91']
Exploring Operation: 92*91=8372, Resulting Numbers: [8372]
8372,90 unequal: No Solution
Exploring Operation: 92+91=183, Resulting Numbers: [183]
183,90 unequal: No Solution
Exploring Operation: 92-91=1, Resulting Numbers: [1]
1,90 unequal: No Solution
No 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: 90:[11, 12], Operations: ['17-6=11', '92-80=12']
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,90 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,90 unequal: No Solution
No 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: 90:[80, 81], Operations: ['17-6=11', '92-11=81']
Exploring Operation: 80*81=6480, Resulting Numbers: [6480]
6480,90 unequal: No Solution
Exploring Operation: 80+81=161, Resulting Numbers: [161]
161,90 unequal: No Solution
Exploring Operation: 81-80=1, Resulting Numbers: [1]
1,90 unequal: No Solution
No 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: 90:[92, 69], Operations: ['17-6=11', '80-11=69']
Exploring Operation: 92*69=6348, Resulting Numbers: [6348]
6348,90 unequal: No Solution
Exploring Operation: 92+69=161, Resulting Numbers: [161]
161,90 unequal: No Solution
Exploring Operation: 92-69=23, Resulting Numbers: [23]
23,90 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 |
[
20,
40,
71,
4
] | 63 | [
"40/20=2",
"4*2=8",
"71-8=63"
] | Current State: 63:[20, 40, 71, 4], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [71, 4, 2]
Generated Node #2: [71, 4, 2] from Operation: 40/20=2
Current State: 63:[71, 4, 2], Operations: ['40/20=2']
Exploring Operation: 4*2=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 4*2=8
Current State: 63:[71, 8], Operations: ['40/20=2', '4*2=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[20, 40, 71, 4], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [20, 71, 10]
Generated Node #0,0: 63:[20, 71, 10] Operation: 40/4=10
Exploring Operation: 20+40=60, Resulting Numbers: [71, 4, 60]
Generated Node #0,1: 63:[71, 4, 60] Operation: 20+40=60
Exploring Operation: 40-20=20, Resulting Numbers: [71, 4, 20]
Generated Node #0,2: 63:[71, 4, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [71, 4, 2]
Generated Node #0,3: 63:[71, 4, 2] Operation: 40/20=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[20, 71, 10], Operations: ['40/4=10']
Exploring Operation: 20/10=2, Resulting Numbers: [71, 2]
Generated Node #0,0,0: 63:[71, 2] Operation: 20/10=2
Exploring Operation: 71-20=51, Resulting Numbers: [10, 51]
Generated Node #0,0,1: 63:[10, 51] Operation: 71-20=51
Exploring Operation: 71-10=61, Resulting Numbers: [20, 61]
Generated Node #0,0,2: 63:[20, 61] Operation: 71-10=61
Exploring Operation: 20-10=10, Resulting Numbers: [71, 10]
Generated Node #0,0,3: 63:[71, 10] Operation: 20-10=10
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 63:[20, 61], Operations: ['40/4=10', '71-10=61']
Exploring Operation: 20*61=1220, Resulting Numbers: [1220]
1220,63 unequal: No Solution
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,63 unequal: No Solution
No 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: 63:[71, 2], Operations: ['40/4=10', '20/10=2']
Exploring Operation: 71*2=142, Resulting Numbers: [142]
142,63 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,63 unequal: No Solution
No 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: 63:[71, 10], Operations: ['40/4=10', '20-10=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,63 unequal: No Solution
Exploring Operation: 71*10=710, Resulting Numbers: [710]
710,63 unequal: No Solution
No 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: 63:[10, 51], Operations: ['40/4=10', '71-20=51']
Exploring Operation: 10*51=510, Resulting Numbers: [510]
510,63 unequal: No Solution
Exploring Operation: 10+51=61, Resulting Numbers: [61]
61,63 unequal: No Solution
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,63 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: 63:[71, 4, 20], Operations: ['40-20=20']
Exploring Operation: 4+20=24, Resulting Numbers: [71, 24]
Generated Node #0,2,0: 63:[71, 24] Operation: 4+20=24
Exploring Operation: 71+4=75, Resulting Numbers: [20, 75]
Generated Node #0,2,1: 63:[20, 75] Operation: 71+4=75
Exploring Operation: 71-4=67, Resulting Numbers: [20, 67]
Generated Node #0,2,2: 63:[20, 67] Operation: 71-4=67
Exploring Operation: 20/4=5, Resulting Numbers: [71, 5]
Generated Node #0,2,3: 63:[71, 5] Operation: 20/4=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 63:[20, 67], Operations: ['40-20=20', '71-4=67']
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,63 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,63 unequal: No Solution
No 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: 63:[71, 5], Operations: ['40-20=20', '20/4=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,63 unequal: No Solution
Exploring Operation: 71*5=355, Resulting Numbers: [355]
355,63 unequal: No Solution
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,63 unequal: No Solution
No 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: 63:[71, 24], Operations: ['40-20=20', '4+20=24']
Exploring Operation: 71*24=1704, Resulting Numbers: [1704]
1704,63 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,63 unequal: No Solution
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,63 unequal: No Solution
No 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: 63:[20, 75], Operations: ['40-20=20', '71+4=75']
Exploring Operation: 20*75=1500, Resulting Numbers: [1500]
1500,63 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,63 unequal: No Solution
Exploring Operation: 20+75=95, Resulting Numbers: [95]
95,63 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: 63:[71, 4, 2], Operations: ['40/20=2']
Exploring Operation: 71-4=67, Resulting Numbers: [2, 67]
Generated Node #0,3,0: 63:[2, 67] Operation: 71-4=67
Exploring Operation: 4*2=8, Resulting Numbers: [71, 8]
Generated Node #0,3,1: 63:[71, 8] Operation: 4*2=8
Exploring Operation: 4+2=6, Resulting Numbers: [71, 6]
Generated Node #0,3,2: 63:[71, 6] Operation: 4+2=6
Exploring Operation: 71-2=69, Resulting Numbers: [4, 69]
Generated Node #0,3,3: 63:[4, 69] Operation: 71-2=69
Moving to Node #0,3,0
Current State: 63:[2, 67], Operations: ['40/20=2', '71-4=67']
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,63 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,63 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[4, 69], Operations: ['40/20=2', '71-2=69']
Exploring Operation: 69-4=65, Resulting Numbers: [65]
65,63 unequal: No Solution
Exploring Operation: 4*69=276, Resulting Numbers: [276]
276,63 unequal: No Solution
Exploring Operation: 4+69=73, Resulting Numbers: [73]
73,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[71, 6], Operations: ['40/20=2', '4+2=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,63 unequal: No Solution
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,63 unequal: No Solution
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[71, 8], Operations: ['40/20=2', '4*2=8']
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,63 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[20, 40, 71, 4], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [71, 4, 2]
Generated Node #0,3: 63:[71, 4, 2] Operation: 40/20=2
Moving to Node #0,3
Current State: 63:[71, 4, 2], Operations: ['40/20=2']
Exploring Operation: 4*2=8, Resulting Numbers: [71, 8]
Generated Node #0,3,1: 63:[71, 8] Operation: 4*2=8
Moving to Node #0,3,1
Current State: 63:[71, 8], Operations: ['40/20=2', '4*2=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.952257 | hs_4 | sum_heuristic |
[
36,
5,
94,
38
] | 87 | [
"36-5=31",
"94-38=56",
"31+56=87"
] | Current State: 87:[36, 5, 94, 38], Operations: []
Exploring Operation: 36-5=31, Resulting Numbers: [94, 38, 31]
Generated Node #2: [94, 38, 31] from Operation: 36-5=31
Current State: 87:[94, 38, 31], Operations: ['36-5=31']
Exploring Operation: 94-38=56, Resulting Numbers: [31, 56]
Generated Node #3: [31, 56] from Operation: 94-38=56
Current State: 87:[31, 56], Operations: ['36-5=31', '94-38=56']
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[36, 5, 94, 38], Operations: []
Exploring Operation: 38-5=33, Resulting Numbers: [36, 94, 33]
Generated Node #0,0: 87:[36, 94, 33] Operation: 38-5=33
Exploring Operation: 94-5=89, Resulting Numbers: [36, 38, 89]
Generated Node #0,1: 87:[36, 38, 89] Operation: 94-5=89
Exploring Operation: 36-5=31, Resulting Numbers: [94, 38, 31]
Generated Node #0,2: 87:[94, 38, 31] Operation: 36-5=31
Exploring Operation: 38-36=2, Resulting Numbers: [5, 94, 2]
Generated Node #0,3: 87:[5, 94, 2] Operation: 38-36=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[5, 94, 2], Operations: ['38-36=2']
Exploring Operation: 5-2=3, Resulting Numbers: [94, 3]
Generated Node #0,3,0: 87:[94, 3] Operation: 5-2=3
Exploring Operation: 94-2=92, Resulting Numbers: [5, 92]
Generated Node #0,3,1: 87:[5, 92] Operation: 94-2=92
Exploring Operation: 5+2=7, Resulting Numbers: [94, 7]
Generated Node #0,3,2: 87:[94, 7] Operation: 5+2=7
Exploring Operation: 94-5=89, Resulting Numbers: [2, 89]
Generated Node #0,3,3: 87:[2, 89] Operation: 94-5=89
Moving to Node #0,3,3
Current State: 87:[2, 89], Operations: ['38-36=2', '94-5=89']
Exploring Operation: 2+89=91, Resulting Numbers: [91]
91,87 unequal: No Solution
Exploring Operation: 2*89=178, Resulting Numbers: [178]
178,87 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[36, 5, 94, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [5, 94, 2]
Generated Node #0,3: 87:[5, 94, 2] Operation: 38-36=2
Moving to Node #0,3
Current State: 87:[5, 94, 2], Operations: ['38-36=2']
Exploring Operation: 94-5=89, Resulting Numbers: [2, 89]
Generated Node #0,3,3: 87:[2, 89] Operation: 94-5=89
Moving to Node #0,3,3
Current State: 87:[2, 89], Operations: ['38-36=2', '94-5=89']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
2,
76,
4,
48
] | 70 | [
"2*4=8",
"48/8=6",
"76-6=70"
] | Current State: 70:[2, 76, 4, 48], Operations: []
Exploring Operation: 2*4=8, Resulting Numbers: [76, 48, 8]
Generated Node #2: [76, 48, 8] from Operation: 2*4=8
Current State: 70:[76, 48, 8], Operations: ['2*4=8']
Exploring Operation: 48/8=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 48/8=6
Current State: 70:[76, 6], Operations: ['2*4=8', '48/8=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[2, 76, 4, 48], Operations: []
Exploring Operation: 48/4=12, Resulting Numbers: [2, 76, 12]
Generated Node #0,0: 70:[2, 76, 12] Operation: 48/4=12
Exploring Operation: 48-4=44, Resulting Numbers: [2, 76, 44]
Generated Node #0,1: 70:[2, 76, 44] Operation: 48-4=44
Exploring Operation: 76-48=28, Resulting Numbers: [2, 4, 28]
Generated Node #0,2: 70:[2, 4, 28] Operation: 76-48=28
Exploring Operation: 76-4=72, Resulting Numbers: [2, 48, 72]
Generated Node #0,3: 70:[2, 48, 72] Operation: 76-4=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[2, 76, 12], Operations: ['48/4=12']
Exploring Operation: 2+12=14, Resulting Numbers: [76, 14]
Generated Node #0,0,0: 70:[76, 14] Operation: 2+12=14
Exploring Operation: 76-2=74, Resulting Numbers: [12, 74]
Generated Node #0,0,1: 70:[12, 74] Operation: 76-2=74
Exploring Operation: 76/2=38, Resulting Numbers: [12, 38]
Generated Node #0,0,2: 70:[12, 38] Operation: 76/2=38
Exploring Operation: 12-2=10, Resulting Numbers: [76, 10]
Generated Node #0,0,3: 70:[76, 10] Operation: 12-2=10
Moving to Node #0,0,2
Current State: 70:[12, 38], Operations: ['48/4=12', '76/2=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[12, 74], Operations: ['48/4=12', '76-2=74']
Exploring Operation: 12*74=888, Resulting Numbers: [888]
888,70 unequal: No Solution
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,70 unequal: No Solution
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[76, 14], Operations: ['48/4=12', '2+12=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,70 unequal: No Solution
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,70 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Moving to Node #0,0,3
Current State: 70:[76, 10], Operations: ['48/4=12', '12-2=10']
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,70 unequal: No Solution
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,70 unequal: No Solution
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[2, 4, 28], Operations: ['76-48=28']
Exploring Operation: 4+28=32, Resulting Numbers: [2, 32]
Generated Node #0,2,0: 70:[2, 32] Operation: 4+28=32
Exploring Operation: 28/2=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 70:[4, 14] Operation: 28/2=14
Exploring Operation: 2+28=30, Resulting Numbers: [4, 30]
Generated Node #0,2,2: 70:[4, 30] Operation: 2+28=30
Exploring Operation: 28/4=7, Resulting Numbers: [2, 7]
Generated Node #0,2,3: 70:[2, 7] Operation: 28/4=7
Moving to Node #0,2,3
Current State: 70:[2, 7], Operations: ['76-48=28', '28/4=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[4, 14], Operations: ['76-48=28', '28/2=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,70 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[2, 32], Operations: ['76-48=28', '4+28=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,70 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[4, 30], Operations: ['76-48=28', '2+28=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[2, 76, 44], Operations: ['48-4=44']
Exploring Operation: 76-2=74, Resulting Numbers: [44, 74]
Generated Node #0,1,0: 70:[44, 74] Operation: 76-2=74
Exploring Operation: 44-2=42, Resulting Numbers: [76, 42]
Generated Node #0,1,1: 70:[76, 42] Operation: 44-2=42
Exploring Operation: 76/2=38, Resulting Numbers: [44, 38]
Generated Node #0,1,2: 70:[44, 38] Operation: 76/2=38
Exploring Operation: 76-44=32, Resulting Numbers: [2, 32]
Generated Node #0,1,3: 70:[2, 32] Operation: 76-44=32
Moving to Node #0,1,3
Current State: 70:[2, 32], Operations: ['48-4=44', '76-44=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,70 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[44, 38], Operations: ['48-4=44', '76/2=38']
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,70 unequal: No Solution
Exploring Operation: 44*38=1672, Resulting Numbers: [1672]
1672,70 unequal: No Solution
Exploring Operation: 44-38=6, Resulting Numbers: [6]
6,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[76, 42], Operations: ['48-4=44', '44-2=42']
Exploring Operation: 76+42=118, Resulting Numbers: [118]
118,70 unequal: No Solution
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 76*42=3192, Resulting Numbers: [3192]
3192,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[44, 74], Operations: ['48-4=44', '76-2=74']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 44*74=3256, Resulting Numbers: [3256]
3256,70 unequal: No Solution
Exploring Operation: 44+74=118, Resulting Numbers: [118]
118,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 70:[2, 48, 72], Operations: ['76-4=72']
Exploring Operation: 72-2=70, Resulting Numbers: [48, 70]
Generated Node #0,3,0: 70:[48, 70] Operation: 72-2=70
Exploring Operation: 48-2=46, Resulting Numbers: [72, 46]
Generated Node #0,3,1: 70:[72, 46] Operation: 48-2=46
Exploring Operation: 48/2=24, Resulting Numbers: [72, 24]
Generated Node #0,3,2: 70:[72, 24] Operation: 48/2=24
Exploring Operation: 72-48=24, Resulting Numbers: [2, 24]
Generated Node #0,3,3: 70:[2, 24] Operation: 72-48=24
Moving to Node #0,3,3
Current State: 70:[2, 24], Operations: ['76-4=72', '72-48=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Moving to Node #0,3,2
Current State: 70:[72, 24], Operations: ['76-4=72', '48/2=24']
Exploring Operation: 72/24=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Exploring Operation: 72+24=96, Resulting Numbers: [96]
96,70 unequal: No Solution
Exploring Operation: 72*24=1728, Resulting Numbers: [1728]
1728,70 unequal: No Solution
Moving to Node #0,3,1
Current State: 70:[72, 46], Operations: ['76-4=72', '48-2=46']
Exploring Operation: 72*46=3312, Resulting Numbers: [3312]
3312,70 unequal: No Solution
Exploring Operation: 72-46=26, Resulting Numbers: [26]
26,70 unequal: No Solution
Exploring Operation: 72+46=118, Resulting Numbers: [118]
118,70 unequal: No Solution
Moving to Node #0,3,0
Current State: 70:[48, 70], Operations: ['76-4=72', '72-2=70']
Exploring Operation: 48*70=3360, Resulting Numbers: [3360]
3360,70 unequal: No Solution
Exploring Operation: 70-48=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 48+70=118, Resulting Numbers: [118]
118,70 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 |
[
23,
27,
40,
34
] | 44 | [
"23+27=50",
"40-34=6",
"50-6=44"
] | Current State: 44:[23, 27, 40, 34], Operations: []
Exploring Operation: 23+27=50, Resulting Numbers: [40, 34, 50]
Generated Node #2: [40, 34, 50] from Operation: 23+27=50
Current State: 44:[40, 34, 50], Operations: ['23+27=50']
Exploring Operation: 40-34=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 40-34=6
Current State: 44:[50, 6], Operations: ['23+27=50', '40-34=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[23, 27, 40, 34], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [23, 34, 13]
Generated Node #0,0: 44:[23, 34, 13] Operation: 40-27=13
Exploring Operation: 34-23=11, Resulting Numbers: [27, 40, 11]
Generated Node #0,1: 44:[27, 40, 11] Operation: 34-23=11
Exploring Operation: 40-34=6, Resulting Numbers: [23, 27, 6]
Generated Node #0,2: 44:[23, 27, 6] Operation: 40-34=6
Exploring Operation: 27-23=4, Resulting Numbers: [40, 34, 4]
Generated Node #0,3: 44:[40, 34, 4] Operation: 27-23=4
Exploring Operation: 34-27=7, Resulting Numbers: [23, 40, 7]
Generated Node #0,4: 44:[23, 40, 7] Operation: 34-27=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[23, 27, 6], Operations: ['40-34=6']
Exploring Operation: 27-23=4, Resulting Numbers: [6, 4]
Generated Node #0,2,0: 44:[6, 4] Operation: 27-23=4
Exploring Operation: 23-6=17, Resulting Numbers: [27, 17]
Generated Node #0,2,1: 44:[27, 17] Operation: 23-6=17
Exploring Operation: 27-6=21, Resulting Numbers: [23, 21]
Generated Node #0,2,2: 44:[23, 21] Operation: 27-6=21
Exploring Operation: 23+6=29, Resulting Numbers: [27, 29]
Generated Node #0,2,3: 44:[27, 29] Operation: 23+6=29
Exploring Operation: 23+27=50, Resulting Numbers: [6, 50]
Generated Node #0,2,4: 44:[6, 50] Operation: 23+27=50
Moving to Node #0,2,0
Current State: 44:[6, 4], Operations: ['40-34=6', '27-23=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[23, 21], Operations: ['40-34=6', '27-6=21']
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 23*21=483, Resulting Numbers: [483]
483,44 unequal: No Solution
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[23, 27, 40, 34], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [23, 27, 6]
Generated Node #0,2: 44:[23, 27, 6] Operation: 40-34=6
Moving to Node #0,2
Current State: 44:[23, 27, 6], Operations: ['40-34=6']
Exploring Operation: 27-6=21, Resulting Numbers: [23, 21]
Generated Node #0,2,2: 44:[23, 21] Operation: 27-6=21
Moving to Node #0,2,2
Current State: 44:[23, 21], Operations: ['40-34=6', '27-6=21']
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
26,
36,
41,
1
] | 22 | [
"26+36=62",
"41-1=40",
"62-40=22"
] | Current State: 22:[26, 36, 41, 1], Operations: []
Exploring Operation: 26+36=62, Resulting Numbers: [41, 1, 62]
Generated Node #2: [41, 1, 62] from Operation: 26+36=62
Current State: 22:[41, 1, 62], Operations: ['26+36=62']
Exploring Operation: 41-1=40, Resulting Numbers: [62, 40]
Generated Node #3: [62, 40] from Operation: 41-1=40
Current State: 22:[62, 40], Operations: ['26+36=62', '41-1=40']
Exploring Operation: 62-40=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[26, 36, 41, 1], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [26, 1, 5]
Generated Node #0,0: 22:[26, 1, 5] Operation: 41-36=5
Exploring Operation: 41-26=15, Resulting Numbers: [36, 1, 15]
Generated Node #0,1: 22:[36, 1, 15] Operation: 41-26=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[26, 1, 5], Operations: ['41-36=5']
Exploring Operation: 26-1=25, Resulting Numbers: [5, 25]
Generated Node #0,0,0: 22:[5, 25] Operation: 26-1=25
Exploring Operation: 26-5=21, Resulting Numbers: [1, 21]
Generated Node #0,0,1: 22:[1, 21] Operation: 26-5=21
Moving to Node #0,0,1
Current State: 22:[1, 21], Operations: ['41-36=5', '26-5=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[26, 36, 41, 1], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [26, 1, 5]
Generated Node #0,0: 22:[26, 1, 5] Operation: 41-36=5
Moving to Node #0,0
Current State: 22:[26, 1, 5], Operations: ['41-36=5']
Exploring Operation: 26-5=21, Resulting Numbers: [1, 21]
Generated Node #0,0,1: 22:[1, 21] Operation: 26-5=21
Moving to Node #0,0,1
Current State: 22:[1, 21], Operations: ['41-36=5', '26-5=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
7,
16,
28,
65
] | 61 | [
"7*16=112",
"112/28=4",
"65-4=61"
] | Current State: 61:[7, 16, 28, 65], Operations: []
Exploring Operation: 7*16=112, Resulting Numbers: [28, 65, 112]
Generated Node #2: [28, 65, 112] from Operation: 7*16=112
Current State: 61:[28, 65, 112], Operations: ['7*16=112']
Exploring Operation: 112/28=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 112/28=4
Current State: 61:[65, 4], Operations: ['7*16=112', '112/28=4']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[7, 16, 28, 65], Operations: []
Exploring Operation: 7+16=23, Resulting Numbers: [28, 65, 23]
Generated Node #0,0: 61:[28, 65, 23] Operation: 7+16=23
Exploring Operation: 7+28=35, Resulting Numbers: [16, 65, 35]
Generated Node #0,1: 61:[16, 65, 35] Operation: 7+28=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[28, 65, 23], Operations: ['7+16=23']
Exploring Operation: 65-23=42, Resulting Numbers: [28, 42]
Generated Node #0,0,0: 61:[28, 42] Operation: 65-23=42
Exploring Operation: 28+23=51, Resulting Numbers: [65, 51]
Generated Node #0,0,1: 61:[65, 51] Operation: 28+23=51
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[65, 51], Operations: ['7+16=23', '28+23=51']
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,61 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[28, 42], Operations: ['7+16=23', '65-23=42']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[16, 65, 35], Operations: ['7+28=35']
Exploring Operation: 16+35=51, Resulting Numbers: [65, 51]
Generated Node #0,1,0: 61:[65, 51] Operation: 16+35=51
Exploring Operation: 65-16=49, Resulting Numbers: [35, 49]
Generated Node #0,1,1: 61:[35, 49] Operation: 65-16=49
Moving to Node #0,1,0
Current State: 61:[65, 51], Operations: ['7+28=35', '16+35=51']
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,61 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[35, 49], Operations: ['7+28=35', '65-16=49']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
66,
59,
68,
97
] | 96 | [
"66+59=125",
"97-68=29",
"125-29=96"
] | Current State: 96:[66, 59, 68, 97], Operations: []
Exploring Operation: 66+59=125, Resulting Numbers: [68, 97, 125]
Generated Node #2: [68, 97, 125] from Operation: 66+59=125
Current State: 96:[68, 97, 125], Operations: ['66+59=125']
Exploring Operation: 97-68=29, Resulting Numbers: [125, 29]
Generated Node #3: [125, 29] from Operation: 97-68=29
Current State: 96:[125, 29], Operations: ['66+59=125', '97-68=29']
Exploring Operation: 125-29=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[66, 59, 68, 97], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [59, 97, 2]
Generated Node #0,0: 96:[59, 97, 2] Operation: 68-66=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[59, 97, 2], Operations: ['68-66=2']
Exploring Operation: 97-59=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 96:[2, 38] Operation: 97-59=38
Moving to Node #0,0,0
Current State: 96:[2, 38], Operations: ['68-66=2', '97-59=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,96 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 |
[
31,
53,
1,
24
] | 47 | [
"53-31=22",
"1+24=25",
"22+25=47"
] | Current State: 47:[31, 53, 1, 24], Operations: []
Exploring Operation: 53-31=22, Resulting Numbers: [1, 24, 22]
Generated Node #2: [1, 24, 22] from Operation: 53-31=22
Current State: 47:[1, 24, 22], Operations: ['53-31=22']
Exploring Operation: 1+24=25, Resulting Numbers: [22, 25]
Generated Node #3: [22, 25] from Operation: 1+24=25
Current State: 47:[22, 25], Operations: ['53-31=22', '1+24=25']
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[31, 53, 1, 24], Operations: []
Exploring Operation: 53-1=52, Resulting Numbers: [31, 24, 52]
Generated Node #0,0: 47:[31, 24, 52] Operation: 53-1=52
Exploring Operation: 31+1=32, Resulting Numbers: [53, 24, 32]
Generated Node #0,1: 47:[53, 24, 32] Operation: 31+1=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[31, 24, 52], Operations: ['53-1=52']
Exploring Operation: 52-24=28, Resulting Numbers: [31, 28]
Generated Node #0,0,0: 47:[31, 28] Operation: 52-24=28
Exploring Operation: 31+24=55, Resulting Numbers: [52, 55]
Generated Node #0,0,1: 47:[52, 55] Operation: 31+24=55
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[52, 55], Operations: ['53-1=52', '31+24=55']
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,47 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,47 unequal: No Solution
No 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: 47:[31, 28], Operations: ['53-1=52', '52-24=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,47 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,47 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: 47:[53, 24, 32], Operations: ['31+1=32']
Exploring Operation: 24+32=56, Resulting Numbers: [53, 56]
Generated Node #0,1,0: 47:[53, 56] Operation: 24+32=56
Exploring Operation: 53-24=29, Resulting Numbers: [32, 29]
Generated Node #0,1,1: 47:[32, 29] Operation: 53-24=29
Moving to Node #0,1,0
Current State: 47:[53, 56], Operations: ['31+1=32', '24+32=56']
Exploring Operation: 53+56=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[32, 29], Operations: ['31+1=32', '53-24=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,47 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 |
[
9,
38,
64,
28
] | 34 | [
"64-28=36",
"36/9=4",
"38-4=34"
] | Current State: 34:[9, 38, 64, 28], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [9, 38, 36]
Generated Node #2: [9, 38, 36] from Operation: 64-28=36
Current State: 34:[9, 38, 36], Operations: ['64-28=36']
Exploring Operation: 36/9=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 36/9=4
Current State: 34:[38, 4], Operations: ['64-28=36', '36/9=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[9, 38, 64, 28], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [9, 38, 36]
Generated Node #0,0: 34:[9, 38, 36] Operation: 64-28=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[9, 38, 36], Operations: ['64-28=36']
Exploring Operation: 36/9=4, Resulting Numbers: [38, 4]
Generated Node #0,0,0: 34:[38, 4] Operation: 36/9=4
Moving to Node #0,0,0
Current State: 34:[38, 4], Operations: ['64-28=36', '36/9=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[9, 38, 64, 28], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [9, 38, 36]
Generated Node #0,0: 34:[9, 38, 36] Operation: 64-28=36
Moving to Node #0,0
Current State: 34:[9, 38, 36], Operations: ['64-28=36']
Exploring Operation: 36/9=4, Resulting Numbers: [38, 4]
Generated Node #0,0,0: 34:[38, 4] Operation: 36/9=4
Moving to Node #0,0,0
Current State: 34:[38, 4], Operations: ['64-28=36', '36/9=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
83,
97,
36,
38
] | 69 | [
"38-36=2",
"83*2=166",
"166-97=69"
] | Current State: 69:[83, 97, 36, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [83, 97, 2]
Generated Node #2: [83, 97, 2] from Operation: 38-36=2
Current State: 69:[83, 97, 2], Operations: ['38-36=2']
Exploring Operation: 83*2=166, Resulting Numbers: [97, 166]
Generated Node #3: [97, 166] from Operation: 83*2=166
Current State: 69:[97, 166], Operations: ['38-36=2', '83*2=166']
Exploring Operation: 166-97=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[83, 97, 36, 38], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [36, 38, 14]
Generated Node #0,0: 69:[36, 38, 14] Operation: 97-83=14
Exploring Operation: 97-36=61, Resulting Numbers: [83, 38, 61]
Generated Node #0,1: 69:[83, 38, 61] Operation: 97-36=61
Exploring Operation: 97-38=59, Resulting Numbers: [83, 36, 59]
Generated Node #0,2: 69:[83, 36, 59] Operation: 97-38=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[36, 38, 14], Operations: ['97-83=14']
Exploring Operation: 38-36=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 69:[14, 2] Operation: 38-36=2
Exploring Operation: 38-14=24, Resulting Numbers: [36, 24]
Generated Node #0,0,1: 69:[36, 24] Operation: 38-14=24
Exploring Operation: 36+38=74, Resulting Numbers: [14, 74]
Generated Node #0,0,2: 69:[14, 74] Operation: 36+38=74
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[14, 2], Operations: ['97-83=14', '38-36=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[36, 24], Operations: ['97-83=14', '38-14=24']
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,69 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[14, 74], Operations: ['97-83=14', '36+38=74']
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 14*74=1036, Resulting Numbers: [1036]
1036,69 unequal: No Solution
Exploring Operation: 14+74=88, Resulting Numbers: [88]
88,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[83, 38, 61], Operations: ['97-36=61']
Exploring Operation: 83-38=45, Resulting Numbers: [61, 45]
Generated Node #0,1,0: 69:[61, 45] Operation: 83-38=45
Exploring Operation: 83-61=22, Resulting Numbers: [38, 22]
Generated Node #0,1,1: 69:[38, 22] Operation: 83-61=22
Exploring Operation: 61-38=23, Resulting Numbers: [83, 23]
Generated Node #0,1,2: 69:[83, 23] Operation: 61-38=23
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 69:[83, 23], Operations: ['97-36=61', '61-38=23']
Exploring Operation: 83*23=1909, Resulting Numbers: [1909]
1909,69 unequal: No Solution
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 83+23=106, Resulting Numbers: [106]
106,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 69:[38, 22], Operations: ['97-36=61', '83-61=22']
Exploring Operation: 38*22=836, Resulting Numbers: [836]
836,69 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[61, 45], Operations: ['97-36=61', '83-38=45']
Exploring Operation: 61*45=2745, Resulting Numbers: [2745]
2745,69 unequal: No Solution
Exploring Operation: 61+45=106, Resulting Numbers: [106]
106,69 unequal: No Solution
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[83, 36, 59], Operations: ['97-38=59']
Exploring Operation: 83-59=24, Resulting Numbers: [36, 24]
Generated Node #0,2,0: 69:[36, 24] Operation: 83-59=24
Exploring Operation: 83-36=47, Resulting Numbers: [59, 47]
Generated Node #0,2,1: 69:[59, 47] Operation: 83-36=47
Exploring Operation: 59-36=23, Resulting Numbers: [83, 23]
Generated Node #0,2,2: 69:[83, 23] Operation: 59-36=23
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[36, 24], Operations: ['97-38=59', '83-59=24']
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,69 unequal: No Solution
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[83, 23], Operations: ['97-38=59', '59-36=23']
Exploring Operation: 83*23=1909, Resulting Numbers: [1909]
1909,69 unequal: No Solution
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 83+23=106, Resulting Numbers: [106]
106,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[59, 47], Operations: ['97-38=59', '83-36=47']
Exploring Operation: 59*47=2773, Resulting Numbers: [2773]
2773,69 unequal: No Solution
Exploring Operation: 59+47=106, Resulting Numbers: [106]
106,69 unequal: No Solution
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
27,
55,
21,
25
] | 17 | [
"27-25=2",
"55-21=34",
"34/2=17"
] | Current State: 17:[27, 55, 21, 25], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [55, 21, 2]
Generated Node #2: [55, 21, 2] from Operation: 27-25=2
Current State: 17:[55, 21, 2], Operations: ['27-25=2']
Exploring Operation: 55-21=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 55-21=34
Current State: 17:[2, 34], Operations: ['27-25=2', '55-21=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[27, 55, 21, 25], Operations: []
Exploring Operation: 55-25=30, Resulting Numbers: [27, 21, 30]
Generated Node #0,0: 17:[27, 21, 30] Operation: 55-25=30
Exploring Operation: 55-27=28, Resulting Numbers: [21, 25, 28]
Generated Node #0,1: 17:[21, 25, 28] Operation: 55-27=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[21, 25, 28], Operations: ['55-27=28']
Exploring Operation: 28-21=7, Resulting Numbers: [25, 7]
Generated Node #0,1,0: 17:[25, 7] Operation: 28-21=7
Exploring Operation: 28-25=3, Resulting Numbers: [21, 3]
Generated Node #0,1,1: 17:[21, 3] Operation: 28-25=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 17:[25, 7], Operations: ['55-27=28', '28-21=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,17 unequal: No Solution
No 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: 17:[21, 3], Operations: ['55-27=28', '28-25=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,17 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[27, 21, 30], Operations: ['55-25=30']
Exploring Operation: 30-27=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 17:[21, 3] Operation: 30-27=3
Exploring Operation: 30-21=9, Resulting Numbers: [27, 9]
Generated Node #0,0,1: 17:[27, 9] Operation: 30-21=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[21, 3], Operations: ['55-25=30', '30-27=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,17 unequal: No Solution
No 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: 17:[27, 9], Operations: ['55-25=30', '30-21=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,17 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_2 | sum_heuristic |
[
77,
2,
12,
86
] | 44 | [
"77-12=65",
"2*65=130",
"130-86=44"
] | Current State: 44:[77, 2, 12, 86], Operations: []
Exploring Operation: 77-12=65, Resulting Numbers: [2, 86, 65]
Generated Node #2: [2, 86, 65] from Operation: 77-12=65
Current State: 44:[2, 86, 65], Operations: ['77-12=65']
Exploring Operation: 2*65=130, Resulting Numbers: [86, 130]
Generated Node #3: [86, 130] from Operation: 2*65=130
Current State: 44:[86, 130], Operations: ['77-12=65', '2*65=130']
Exploring Operation: 130-86=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[77, 2, 12, 86], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [2, 12, 9]
Generated Node #0,0: 44:[2, 12, 9] Operation: 86-77=9
Exploring Operation: 86/2=43, Resulting Numbers: [77, 12, 43]
Generated Node #0,1: 44:[77, 12, 43] Operation: 86/2=43
Exploring Operation: 77-12=65, Resulting Numbers: [2, 86, 65]
Generated Node #0,2: 44:[2, 86, 65] Operation: 77-12=65
Exploring Operation: 86-12=74, Resulting Numbers: [77, 2, 74]
Generated Node #0,3: 44:[77, 2, 74] Operation: 86-12=74
Moving to Node #0,0
Current State: 44:[2, 12, 9], Operations: ['86-77=9']
Exploring Operation: 2+9=11, Resulting Numbers: [12, 11]
Generated Node #0,0,0: 44:[12, 11] Operation: 2+9=11
Exploring Operation: 12+9=21, Resulting Numbers: [2, 21]
Generated Node #0,0,1: 44:[2, 21] Operation: 12+9=21
Exploring Operation: 12-9=3, Resulting Numbers: [2, 3]
Generated Node #0,0,2: 44:[2, 3] Operation: 12-9=3
Exploring Operation: 12-2=10, Resulting Numbers: [9, 10]
Generated Node #0,0,3: 44:[9, 10] Operation: 12-2=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[12, 11], Operations: ['86-77=9', '2+9=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,44 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,44 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:[2, 21], Operations: ['86-77=9', '12+9=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,44 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 #0,0,2
Current State: 44:[2, 3], Operations: ['86-77=9', '12-9=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,44 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 #0,0,3
Current State: 44:[9, 10], Operations: ['86-77=9', '12-2=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,44 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,44 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: 44:[77, 12, 43], Operations: ['86/2=43']
Exploring Operation: 43-12=31, Resulting Numbers: [77, 31]
Generated Node #0,1,0: 44:[77, 31] Operation: 43-12=31
Exploring Operation: 77-43=34, Resulting Numbers: [12, 34]
Generated Node #0,1,1: 44:[12, 34] Operation: 77-43=34
Exploring Operation: 77-12=65, Resulting Numbers: [43, 65]
Generated Node #0,1,2: 44:[43, 65] Operation: 77-12=65
Exploring Operation: 12+43=55, Resulting Numbers: [77, 55]
Generated Node #0,1,3: 44:[77, 55] Operation: 12+43=55
Moving to Node #0,3
Current State: 44:[77, 2, 74], Operations: ['86-12=74']
Exploring Operation: 77-2=75, Resulting Numbers: [74, 75]
Generated Node #0,3,0: 44:[74, 75] Operation: 77-2=75
Exploring Operation: 77-74=3, Resulting Numbers: [2, 3]
Generated Node #0,3,1: 44:[2, 3] Operation: 77-74=3
Exploring Operation: 74/2=37, Resulting Numbers: [77, 37]
Generated Node #0,3,2: 44:[77, 37] Operation: 74/2=37
Exploring Operation: 74-2=72, Resulting Numbers: [77, 72]
Generated Node #0,3,3: 44:[77, 72] Operation: 74-2=72
Moving to Node #0,2
Current State: 44:[2, 86, 65], Operations: ['77-12=65']
Exploring Operation: 86/2=43, Resulting Numbers: [65, 43]
Generated Node #0,2,0: 44:[65, 43] Operation: 86/2=43
Exploring Operation: 65-2=63, Resulting Numbers: [86, 63]
Generated Node #0,2,1: 44:[86, 63] Operation: 65-2=63
Exploring Operation: 86-65=21, Resulting Numbers: [2, 21]
Generated Node #0,2,2: 44:[2, 21] Operation: 86-65=21
Exploring Operation: 86-2=84, Resulting Numbers: [65, 84]
Generated Node #0,2,3: 44:[65, 84] Operation: 86-2=84
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[2, 21], Operations: ['77-12=65', '86-65=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,44 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 #0,2,0
Current State: 44:[65, 43], Operations: ['77-12=65', '86/2=43']
Exploring Operation: 65+43=108, Resulting Numbers: [108]
108,44 unequal: No Solution
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 65*43=2795, Resulting Numbers: [2795]
2795,44 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 #0,2,1
Current State: 44:[86, 63], Operations: ['77-12=65', '65-2=63']
Exploring Operation: 86-63=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 86*63=5418, Resulting Numbers: [5418]
5418,44 unequal: No Solution
Exploring Operation: 86+63=149, Resulting Numbers: [149]
149,44 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 #0,2,3
Current State: 44:[65, 84], Operations: ['77-12=65', '86-2=84']
Exploring Operation: 65+84=149, Resulting Numbers: [149]
149,44 unequal: No Solution
Exploring Operation: 65*84=5460, Resulting Numbers: [5460]
5460,44 unequal: No Solution
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 44:[2, 3], Operations: ['86-12=74', '77-74=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,44 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[12, 34], Operations: ['86/2=43', '77-43=34']
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,44 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[43, 65], Operations: ['86/2=43', '77-12=65']
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 43*65=2795, Resulting Numbers: [2795]
2795,44 unequal: No Solution
Exploring Operation: 43+65=108, Resulting Numbers: [108]
108,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[77, 37], Operations: ['86-12=74', '74/2=37']
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,44 unequal: No Solution
Exploring Operation: 77*37=2849, Resulting Numbers: [2849]
2849,44 unequal: No Solution
Exploring Operation: 77+37=114, Resulting Numbers: [114]
114,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[77, 31], Operations: ['86/2=43', '43-12=31']
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,44 unequal: No Solution
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,44 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[77, 55], Operations: ['86/2=43', '12+43=55']
Exploring Operation: 77+55=132, Resulting Numbers: [132]
132,44 unequal: No Solution
Exploring Operation: 77*55=4235, Resulting Numbers: [4235]
4235,44 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[74, 75], Operations: ['86-12=74', '77-2=75']
Exploring Operation: 75-74=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 74+75=149, Resulting Numbers: [149]
149,44 unequal: No Solution
Exploring Operation: 74*75=5550, Resulting Numbers: [5550]
5550,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[77, 72], Operations: ['86-12=74', '74-2=72']
Exploring Operation: 77+72=149, Resulting Numbers: [149]
149,44 unequal: No Solution
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 77*72=5544, Resulting Numbers: [5544]
5544,44 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
97,
82,
16,
3
] | 33 | [
"97-82=15",
"16*3=48",
"48-15=33"
] | Current State: 33:[97, 82, 16, 3], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [16, 3, 15]
Generated Node #2: [16, 3, 15] from Operation: 97-82=15
Current State: 33:[16, 3, 15], Operations: ['97-82=15']
Exploring Operation: 16*3=48, Resulting Numbers: [15, 48]
Generated Node #3: [15, 48] from Operation: 16*3=48
Current State: 33:[15, 48], Operations: ['97-82=15', '16*3=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[97, 82, 16, 3], Operations: []
Exploring Operation: 97-82=15, Resulting Numbers: [16, 3, 15]
Generated Node #0,0: 33:[16, 3, 15] Operation: 97-82=15
Moving to Node #0,0
Current State: 33:[16, 3, 15], Operations: ['97-82=15']
Exploring Operation: 16+15=31, Resulting Numbers: [3, 31]
Generated Node #0,0,0: 33:[3, 31] Operation: 16+15=31
Moving to Node #0,0,0
Current State: 33:[3, 31], Operations: ['97-82=15', '16+15=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,33 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
44,
32,
3,
55
] | 85 | [
"55-44=11",
"32*3=96",
"96-11=85"
] | Current State: 85:[44, 32, 3, 55], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [32, 3, 11]
Generated Node #2: [32, 3, 11] from Operation: 55-44=11
Current State: 85:[32, 3, 11], Operations: ['55-44=11']
Exploring Operation: 32*3=96, Resulting Numbers: [11, 96]
Generated Node #3: [11, 96] from Operation: 32*3=96
Current State: 85:[11, 96], Operations: ['55-44=11', '32*3=96']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[44, 32, 3, 55], Operations: []
Exploring Operation: 55-32=23, Resulting Numbers: [44, 3, 23]
Generated Node #0,0: 85:[44, 3, 23] Operation: 55-32=23
Exploring Operation: 32+55=87, Resulting Numbers: [44, 3, 87]
Generated Node #0,1: 85:[44, 3, 87] Operation: 32+55=87
Exploring Operation: 55-44=11, Resulting Numbers: [32, 3, 11]
Generated Node #0,2: 85:[32, 3, 11] Operation: 55-44=11
Exploring Operation: 44+55=99, Resulting Numbers: [32, 3, 99]
Generated Node #0,3: 85:[32, 3, 99] Operation: 44+55=99
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[32, 3, 11], Operations: ['55-44=11']
Exploring Operation: 32-11=21, Resulting Numbers: [3, 21]
Generated Node #0,2,0: 85:[3, 21] Operation: 32-11=21
Exploring Operation: 32*3=96, Resulting Numbers: [11, 96]
Generated Node #0,2,1: 85:[11, 96] Operation: 32*3=96
Exploring Operation: 32-3=29, Resulting Numbers: [11, 29]
Generated Node #0,2,2: 85:[11, 29] Operation: 32-3=29
Exploring Operation: 3+11=14, Resulting Numbers: [32, 14]
Generated Node #0,2,3: 85:[32, 14] Operation: 3+11=14
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[3, 21], Operations: ['55-44=11', '32-11=21']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,85 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,85 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[11, 96], Operations: ['55-44=11', '32*3=96']
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,85 unequal: No Solution
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[44, 32, 3, 55], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [32, 3, 11]
Generated Node #0,2: 85:[32, 3, 11] Operation: 55-44=11
Moving to Node #0,2
Current State: 85:[32, 3, 11], Operations: ['55-44=11']
Exploring Operation: 32*3=96, Resulting Numbers: [11, 96]
Generated Node #0,2,1: 85:[11, 96] Operation: 32*3=96
Moving to Node #0,2,1
Current State: 85:[11, 96], Operations: ['55-44=11', '32*3=96']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
13,
11,
57,
78
] | 23 | [
"13-11=2",
"78-57=21",
"2+21=23"
] | Current State: 23:[13, 11, 57, 78], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [57, 78, 2]
Generated Node #2: [57, 78, 2] from Operation: 13-11=2
Current State: 23:[57, 78, 2], Operations: ['13-11=2']
Exploring Operation: 78-57=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 78-57=21
Current State: 23:[2, 21], Operations: ['13-11=2', '78-57=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[13, 11, 57, 78], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [13, 11, 21]
Generated Node #0,0: 23:[13, 11, 21] Operation: 78-57=21
Moving to Node #0,0
Current State: 23:[13, 11, 21], Operations: ['78-57=21']
Exploring Operation: 13+11=24, Resulting Numbers: [21, 24]
Generated Node #0,0,0: 23:[21, 24] Operation: 13+11=24
Moving to Node #0,0,0
Current State: 23:[21, 24], Operations: ['78-57=21', '13+11=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,23 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
43,
61,
22
] | 79 | [
"22-20=2",
"61*2=122",
"122-43=79"
] | Current State: 79:[20, 43, 61, 22], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [43, 61, 2]
Generated Node #2: [43, 61, 2] from Operation: 22-20=2
Current State: 79:[43, 61, 2], Operations: ['22-20=2']
Exploring Operation: 61*2=122, Resulting Numbers: [43, 122]
Generated Node #3: [43, 122] from Operation: 61*2=122
Current State: 79:[43, 122], Operations: ['22-20=2', '61*2=122']
Exploring Operation: 122-43=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[20, 43, 61, 22], Operations: []
Exploring Operation: 20+43=63, Resulting Numbers: [61, 22, 63]
Generated Node #0,0: 79:[61, 22, 63] Operation: 20+43=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[61, 22, 63], Operations: ['20+43=63']
Exploring Operation: 61+22=83, Resulting Numbers: [63, 83]
Generated Node #0,0,0: 79:[63, 83] Operation: 61+22=83
Moving to Node #0,0,0
Current State: 79:[63, 83], Operations: ['20+43=63', '61+22=83']
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,79 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 |
[
93,
15,
54,
9
] | 65 | [
"93-54=39",
"15*39=585",
"585/9=65"
] | Current State: 65:[93, 15, 54, 9], Operations: []
Exploring Operation: 93-54=39, Resulting Numbers: [15, 9, 39]
Generated Node #2: [15, 9, 39] from Operation: 93-54=39
Current State: 65:[15, 9, 39], Operations: ['93-54=39']
Exploring Operation: 15*39=585, Resulting Numbers: [9, 585]
Generated Node #3: [9, 585] from Operation: 15*39=585
Current State: 65:[9, 585], Operations: ['93-54=39', '15*39=585']
Exploring Operation: 585/9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[93, 15, 54, 9], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [93, 15, 6]
Generated Node #0,0: 65:[93, 15, 6] Operation: 54/9=6
Exploring Operation: 93-15=78, Resulting Numbers: [54, 9, 78]
Generated Node #0,1: 65:[54, 9, 78] Operation: 93-15=78
Exploring Operation: 93-54=39, Resulting Numbers: [15, 9, 39]
Generated Node #0,2: 65:[15, 9, 39] Operation: 93-54=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[54, 9, 78], Operations: ['93-15=78']
Exploring Operation: 54/9=6, Resulting Numbers: [78, 6]
Generated Node #0,1,0: 65:[78, 6] Operation: 54/9=6
Exploring Operation: 78-54=24, Resulting Numbers: [9, 24]
Generated Node #0,1,1: 65:[9, 24] Operation: 78-54=24
Exploring Operation: 54+9=63, Resulting Numbers: [78, 63]
Generated Node #0,1,2: 65:[78, 63] Operation: 54+9=63
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[78, 6], Operations: ['93-15=78', '54/9=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,65 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,65 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 #0,1,1
Current State: 65:[9, 24], Operations: ['93-15=78', '78-54=24']
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,65 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,65 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 #0,1,2
Current State: 65:[78, 63], Operations: ['93-15=78', '54+9=63']
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 78*63=4914, Resulting Numbers: [4914]
4914,65 unequal: No Solution
Exploring Operation: 78+63=141, Resulting Numbers: [141]
141,65 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 #0,0
Current State: 65:[93, 15, 6], Operations: ['54/9=6']
Exploring Operation: 93-6=87, Resulting Numbers: [15, 87]
Generated Node #0,0,0: 65:[15, 87] Operation: 93-6=87
Exploring Operation: 93-15=78, Resulting Numbers: [6, 78]
Generated Node #0,0,1: 65:[6, 78] Operation: 93-15=78
Exploring Operation: 15-6=9, Resulting Numbers: [93, 9]
Generated Node #0,0,2: 65:[93, 9] Operation: 15-6=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[6, 78], Operations: ['54/9=6', '93-15=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,65 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,65 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 #0,0,0
Current State: 65:[15, 87], Operations: ['54/9=6', '93-6=87']
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,65 unequal: No Solution
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,65 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,65 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 #0,0,2
Current State: 65:[93, 9], Operations: ['54/9=6', '15-6=9']
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,65 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,65 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 #0,2
Current State: 65:[15, 9, 39], Operations: ['93-54=39']
Exploring Operation: 9+39=48, Resulting Numbers: [15, 48]
Generated Node #0,2,0: 65:[15, 48] Operation: 9+39=48
Exploring Operation: 39-15=24, Resulting Numbers: [9, 24]
Generated Node #0,2,1: 65:[9, 24] Operation: 39-15=24
Exploring Operation: 15+39=54, Resulting Numbers: [9, 54]
Generated Node #0,2,2: 65:[9, 54] Operation: 15+39=54
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 65:[9, 24], Operations: ['93-54=39', '39-15=24']
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 65:[9, 54], Operations: ['93-54=39', '15+39=54']
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,65 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[15, 48], Operations: ['93-54=39', '9+39=48']
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,65 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_3 | sum_heuristic |
[
1,
55,
52,
82
] | 26 | [
"1+55=56",
"82-52=30",
"56-30=26"
] | Current State: 26:[1, 55, 52, 82], Operations: []
Exploring Operation: 1+55=56, Resulting Numbers: [52, 82, 56]
Generated Node #2: [52, 82, 56] from Operation: 1+55=56
Current State: 26:[52, 82, 56], Operations: ['1+55=56']
Exploring Operation: 82-52=30, Resulting Numbers: [56, 30]
Generated Node #3: [56, 30] from Operation: 82-52=30
Current State: 26:[56, 30], Operations: ['1+55=56', '82-52=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[1, 55, 52, 82], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [1, 52, 27]
Generated Node #0,0: 26:[1, 52, 27] Operation: 82-55=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[1, 52, 27], Operations: ['82-55=27']
Exploring Operation: 52-27=25, Resulting Numbers: [1, 25]
Generated Node #0,0,0: 26:[1, 25] Operation: 52-27=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[1, 25], Operations: ['82-55=27', '52-27=25']
Exploring Operation: 1+25=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[1, 55, 52, 82], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [1, 52, 27]
Generated Node #0,0: 26:[1, 52, 27] Operation: 82-55=27
Moving to Node #0,0
Current State: 26:[1, 52, 27], Operations: ['82-55=27']
Exploring Operation: 52-27=25, Resulting Numbers: [1, 25]
Generated Node #0,0,0: 26:[1, 25] Operation: 52-27=25
Moving to Node #0,0,0
Current State: 26:[1, 25], Operations: ['82-55=27', '52-27=25']
Exploring Operation: 1+25=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
48,
31,
14,
18
] | 83 | [
"48+31=79",
"18-14=4",
"79+4=83"
] | Current State: 83:[48, 31, 14, 18], Operations: []
Exploring Operation: 48+31=79, Resulting Numbers: [14, 18, 79]
Generated Node #2: [14, 18, 79] from Operation: 48+31=79
Current State: 83:[14, 18, 79], Operations: ['48+31=79']
Exploring Operation: 18-14=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 18-14=4
Current State: 83:[79, 4], Operations: ['48+31=79', '18-14=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[48, 31, 14, 18], Operations: []
Exploring Operation: 31+14=45, Resulting Numbers: [48, 18, 45]
Generated Node #0,0: 83:[48, 18, 45] Operation: 31+14=45
Exploring Operation: 48+14=62, Resulting Numbers: [31, 18, 62]
Generated Node #0,1: 83:[31, 18, 62] Operation: 48+14=62
Exploring Operation: 48+18=66, Resulting Numbers: [31, 14, 66]
Generated Node #0,2: 83:[31, 14, 66] Operation: 48+18=66
Exploring Operation: 31+18=49, Resulting Numbers: [48, 14, 49]
Generated Node #0,3: 83:[48, 14, 49] Operation: 31+18=49
Exploring Operation: 48+31=79, Resulting Numbers: [14, 18, 79]
Generated Node #0,4: 83:[14, 18, 79] Operation: 48+31=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[48, 18, 45], Operations: ['31+14=45']
Exploring Operation: 18+45=63, Resulting Numbers: [48, 63]
Generated Node #0,0,0: 83:[48, 63] Operation: 18+45=63
Exploring Operation: 45-18=27, Resulting Numbers: [48, 27]
Generated Node #0,0,1: 83:[48, 27] Operation: 45-18=27
Exploring Operation: 48-18=30, Resulting Numbers: [45, 30]
Generated Node #0,0,2: 83:[45, 30] Operation: 48-18=30
Exploring Operation: 48+18=66, Resulting Numbers: [45, 66]
Generated Node #0,0,3: 83:[45, 66] Operation: 48+18=66
Exploring Operation: 48+45=93, Resulting Numbers: [18, 93]
Generated Node #0,0,4: 83:[18, 93] Operation: 48+45=93
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[48, 63], Operations: ['31+14=45', '18+45=63']
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,83 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[45, 66], Operations: ['31+14=45', '48+18=66']
Exploring Operation: 45*66=2970, Resulting Numbers: [2970]
2970,83 unequal: No Solution
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 45+66=111, Resulting Numbers: [111]
111,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 83:[18, 93], Operations: ['31+14=45', '48+45=93']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 18+93=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 18*93=1674, Resulting Numbers: [1674]
1674,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[48, 27], Operations: ['31+14=45', '45-18=27']
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,83 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[45, 30], Operations: ['31+14=45', '48-18=30']
Exploring Operation: 45*30=1350, Resulting Numbers: [1350]
1350,83 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[31, 18, 62], Operations: ['48+14=62']
Exploring Operation: 31+62=93, Resulting Numbers: [18, 93]
Generated Node #0,1,0: 83:[18, 93] Operation: 31+62=93
Exploring Operation: 62-18=44, Resulting Numbers: [31, 44]
Generated Node #0,1,1: 83:[31, 44] Operation: 62-18=44
Exploring Operation: 18+62=80, Resulting Numbers: [31, 80]
Generated Node #0,1,2: 83:[31, 80] Operation: 18+62=80
Exploring Operation: 31-18=13, Resulting Numbers: [62, 13]
Generated Node #0,1,3: 83:[62, 13] Operation: 31-18=13
Exploring Operation: 31+18=49, Resulting Numbers: [62, 49]
Generated Node #0,1,4: 83:[62, 49] Operation: 31+18=49
Moving to Node #0,1,2
Current State: 83:[31, 80], Operations: ['48+14=62', '18+62=80']
Exploring Operation: 31+80=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 31*80=2480, Resulting Numbers: [2480]
2480,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[62, 49], Operations: ['48+14=62', '31+18=49']
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 62*49=3038, Resulting Numbers: [3038]
3038,83 unequal: No Solution
Exploring Operation: 62+49=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[18, 93], Operations: ['48+14=62', '31+62=93']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 18+93=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 18*93=1674, Resulting Numbers: [1674]
1674,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[31, 44], Operations: ['48+14=62', '62-18=44']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,83 unequal: No Solution
Exploring Operation: 31+44=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 31*44=1364, Resulting Numbers: [1364]
1364,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[62, 13], Operations: ['48+14=62', '31-18=13']
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 62*13=806, Resulting Numbers: [806]
806,83 unequal: No Solution
Exploring Operation: 62+13=75, Resulting Numbers: [75]
75,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[31, 14, 66], Operations: ['48+18=66']
Exploring Operation: 31+14=45, Resulting Numbers: [66, 45]
Generated Node #0,2,0: 83:[66, 45] Operation: 31+14=45
Exploring Operation: 66-14=52, Resulting Numbers: [31, 52]
Generated Node #0,2,1: 83:[31, 52] Operation: 66-14=52
Exploring Operation: 31+66=97, Resulting Numbers: [14, 97]
Generated Node #0,2,2: 83:[14, 97] Operation: 31+66=97
Exploring Operation: 31-14=17, Resulting Numbers: [66, 17]
Generated Node #0,2,3: 83:[66, 17] Operation: 31-14=17
Exploring Operation: 14+66=80, Resulting Numbers: [31, 80]
Generated Node #0,2,4: 83:[31, 80] Operation: 14+66=80
Moving to Node #0,2,0
Current State: 83:[66, 45], Operations: ['48+18=66', '31+14=45']
Exploring Operation: 66*45=2970, Resulting Numbers: [2970]
2970,83 unequal: No Solution
Exploring Operation: 66+45=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[31, 80], Operations: ['48+18=66', '14+66=80']
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 31*80=2480, Resulting Numbers: [2480]
2480,83 unequal: No Solution
Exploring Operation: 31+80=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[31, 52], Operations: ['48+18=66', '66-14=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,83 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[48, 31, 14, 18], Operations: []
Exploring Operation: 48+18=66, Resulting Numbers: [31, 14, 66]
Generated Node #0,2: 83:[31, 14, 66] Operation: 48+18=66
Moving to Node #0,2
Current State: 83:[31, 14, 66], Operations: ['48+18=66']
Exploring Operation: 66-14=52, Resulting Numbers: [31, 52]
Generated Node #0,2,1: 83:[31, 52] Operation: 66-14=52
Moving to Node #0,2,1
Current State: 83:[31, 52], Operations: ['48+18=66', '66-14=52']
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_5 | sum_heuristic |
[
14,
6,
69,
34
] | 61 | [
"14+34=48",
"48/6=8",
"69-8=61"
] | Current State: 61:[14, 6, 69, 34], Operations: []
Exploring Operation: 14+34=48, Resulting Numbers: [6, 69, 48]
Generated Node #2: [6, 69, 48] from Operation: 14+34=48
Current State: 61:[6, 69, 48], Operations: ['14+34=48']
Exploring Operation: 48/6=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 48/6=8
Current State: 61:[69, 8], Operations: ['14+34=48', '48/6=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[14, 6, 69, 34], Operations: []
Exploring Operation: 14+6=20, Resulting Numbers: [69, 34, 20]
Generated Node #0,0: 61:[69, 34, 20] Operation: 14+6=20
Exploring Operation: 14+34=48, Resulting Numbers: [6, 69, 48]
Generated Node #0,1: 61:[6, 69, 48] Operation: 14+34=48
Exploring Operation: 14*6=84, Resulting Numbers: [69, 34, 84]
Generated Node #0,2: 61:[69, 34, 84] Operation: 14*6=84
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[69, 34, 84], Operations: ['14*6=84']
Exploring Operation: 69+34=103, Resulting Numbers: [84, 103]
Generated Node #0,2,0: 61:[84, 103] Operation: 69+34=103
Exploring Operation: 69-34=35, Resulting Numbers: [84, 35]
Generated Node #0,2,1: 61:[84, 35] Operation: 69-34=35
Exploring Operation: 84-34=50, Resulting Numbers: [69, 50]
Generated Node #0,2,2: 61:[69, 50] Operation: 84-34=50
Moving to Node #0,2,2
Current State: 61:[69, 50], Operations: ['14*6=84', '84-34=50']
Exploring Operation: 69+50=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,61 unequal: No Solution
Exploring Operation: 69*50=3450, Resulting Numbers: [3450]
3450,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[84, 35], Operations: ['14*6=84', '69-34=35']
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,61 unequal: No Solution
Exploring Operation: 84+35=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Exploring Operation: 84*35=2940, Resulting Numbers: [2940]
2940,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[84, 103], Operations: ['14*6=84', '69+34=103']
Exploring Operation: 103-84=19, Resulting Numbers: [19]
19,61 unequal: No Solution
Exploring Operation: 84*103=8652, Resulting Numbers: [8652]
8652,61 unequal: No Solution
Exploring Operation: 84+103=187, Resulting Numbers: [187]
187,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[69, 34, 20], Operations: ['14+6=20']
Exploring Operation: 69+20=89, Resulting Numbers: [34, 89]
Generated Node #0,0,0: 61:[34, 89] Operation: 69+20=89
Exploring Operation: 69-20=49, Resulting Numbers: [34, 49]
Generated Node #0,0,1: 61:[34, 49] Operation: 69-20=49
Exploring Operation: 34+20=54, Resulting Numbers: [69, 54]
Generated Node #0,0,2: 61:[69, 54] Operation: 34+20=54
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 61:[69, 54], Operations: ['14+6=20', '34+20=54']
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,61 unequal: No Solution
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,61 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[34, 49], Operations: ['14+6=20', '69-20=49']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,61 unequal: No Solution
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[34, 89], Operations: ['14+6=20', '69+20=89']
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 34*89=3026, Resulting Numbers: [3026]
3026,61 unequal: No Solution
Exploring Operation: 34+89=123, Resulting Numbers: [123]
123,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[6, 69, 48], Operations: ['14+34=48']
Exploring Operation: 6+69=75, Resulting Numbers: [48, 75]
Generated Node #0,1,0: 61:[48, 75] Operation: 6+69=75
Exploring Operation: 69-6=63, Resulting Numbers: [48, 63]
Generated Node #0,1,1: 61:[48, 63] Operation: 69-6=63
Exploring Operation: 6+48=54, Resulting Numbers: [69, 54]
Generated Node #0,1,2: 61:[69, 54] Operation: 6+48=54
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[48, 63], Operations: ['14+34=48', '69-6=63']
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,61 unequal: No Solution
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[69, 54], Operations: ['14+34=48', '6+48=54']
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,61 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[48, 75], Operations: ['14+34=48', '6+69=75']
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 48+75=123, Resulting Numbers: [123]
123,61 unequal: No Solution
Exploring Operation: 48*75=3600, Resulting Numbers: [3600]
3600,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
85,
37,
78,
6
] | 24 | [
"85-37=48",
"78-6=72",
"72-48=24"
] | Current State: 24:[85, 37, 78, 6], Operations: []
Exploring Operation: 85-37=48, Resulting Numbers: [78, 6, 48]
Generated Node #2: [78, 6, 48] from Operation: 85-37=48
Current State: 24:[78, 6, 48], Operations: ['85-37=48']
Exploring Operation: 78-6=72, Resulting Numbers: [48, 72]
Generated Node #3: [48, 72] from Operation: 78-6=72
Current State: 24:[48, 72], Operations: ['85-37=48', '78-6=72']
Exploring Operation: 72-48=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[85, 37, 78, 6], Operations: []
Exploring Operation: 78-37=41, Resulting Numbers: [85, 6, 41]
Generated Node #0,0: 24:[85, 6, 41] Operation: 78-37=41
Exploring Operation: 85-78=7, Resulting Numbers: [37, 6, 7]
Generated Node #0,1: 24:[37, 6, 7] Operation: 85-78=7
Exploring Operation: 85-6=79, Resulting Numbers: [37, 78, 79]
Generated Node #0,2: 24:[37, 78, 79] Operation: 85-6=79
Exploring Operation: 78/6=13, Resulting Numbers: [85, 37, 13]
Generated Node #0,3: 24:[85, 37, 13] Operation: 78/6=13
Exploring Operation: 85-37=48, Resulting Numbers: [78, 6, 48]
Generated Node #0,4: 24:[78, 6, 48] Operation: 85-37=48
Moving to Node #0,1
Current State: 24:[37, 6, 7], Operations: ['85-78=7']
Exploring Operation: 37-7=30, Resulting Numbers: [6, 30]
Generated Node #0,1,0: 24:[6, 30] Operation: 37-7=30
Exploring Operation: 6+7=13, Resulting Numbers: [37, 13]
Generated Node #0,1,1: 24:[37, 13] Operation: 6+7=13
Exploring Operation: 37-6=31, Resulting Numbers: [7, 31]
Generated Node #0,1,2: 24:[7, 31] Operation: 37-6=31
Exploring Operation: 7-6=1, Resulting Numbers: [37, 1]
Generated Node #0,1,3: 24:[37, 1] Operation: 7-6=1
Exploring Operation: 37+6=43, Resulting Numbers: [7, 43]
Generated Node #0,1,4: 24:[7, 43] Operation: 37+6=43
Moving to Node #0,3
Current State: 24:[85, 37, 13], Operations: ['78/6=13']
Exploring Operation: 37-13=24, Resulting Numbers: [85, 24]
Generated Node #0,3,0: 24:[85, 24] Operation: 37-13=24
Exploring Operation: 85-37=48, Resulting Numbers: [13, 48]
Generated Node #0,3,1: 24:[13, 48] Operation: 85-37=48
Exploring Operation: 85+13=98, Resulting Numbers: [37, 98]
Generated Node #0,3,2: 24:[37, 98] Operation: 85+13=98
Exploring Operation: 85-13=72, Resulting Numbers: [37, 72]
Generated Node #0,3,3: 24:[37, 72] Operation: 85-13=72
Exploring Operation: 37+13=50, Resulting Numbers: [85, 50]
Generated Node #0,3,4: 24:[85, 50] Operation: 37+13=50
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 24:[13, 48], Operations: ['78/6=13', '85-37=48']
Exploring Operation: 13+48=61, Resulting Numbers: [61]
61,24 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,24 unequal: No Solution
Exploring Operation: 13*48=624, Resulting Numbers: [624]
624,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[85, 24], Operations: ['78/6=13', '37-13=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,24 unequal: No Solution
Exploring Operation: 85*24=2040, Resulting Numbers: [2040]
2040,24 unequal: No Solution
Exploring Operation: 85+24=109, Resulting Numbers: [109]
109,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 24:[37, 72], Operations: ['78/6=13', '85-13=72']
Exploring Operation: 37*72=2664, Resulting Numbers: [2664]
2664,24 unequal: No Solution
Exploring Operation: 37+72=109, Resulting Numbers: [109]
109,24 unequal: No Solution
Exploring Operation: 72-37=35, Resulting Numbers: [35]
35,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 24:[37, 98], Operations: ['78/6=13', '85+13=98']
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,24 unequal: No Solution
Exploring Operation: 37+98=135, Resulting Numbers: [135]
135,24 unequal: No Solution
Exploring Operation: 37*98=3626, Resulting Numbers: [3626]
3626,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 24:[85, 50], Operations: ['78/6=13', '37+13=50']
Exploring Operation: 85*50=4250, Resulting Numbers: [4250]
4250,24 unequal: No Solution
Exploring Operation: 85+50=135, Resulting Numbers: [135]
135,24 unequal: No Solution
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,24 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: 24:[85, 6, 41], Operations: ['78-37=41']
Exploring Operation: 85-41=44, Resulting Numbers: [6, 44]
Generated Node #0,0,0: 24:[6, 44] Operation: 85-41=44
Exploring Operation: 6+41=47, Resulting Numbers: [85, 47]
Generated Node #0,0,1: 24:[85, 47] Operation: 6+41=47
Exploring Operation: 85+6=91, Resulting Numbers: [41, 91]
Generated Node #0,0,2: 24:[41, 91] Operation: 85+6=91
Exploring Operation: 41-6=35, Resulting Numbers: [85, 35]
Generated Node #0,0,3: 24:[85, 35] Operation: 41-6=35
Exploring Operation: 85-6=79, Resulting Numbers: [41, 79]
Generated Node #0,0,4: 24:[41, 79] Operation: 85-6=79
Moving to Node #0,4
Current State: 24:[78, 6, 48], Operations: ['85-37=48']
Exploring Operation: 48-6=42, Resulting Numbers: [78, 42]
Generated Node #0,4,0: 24:[78, 42] Operation: 48-6=42
Exploring Operation: 78-6=72, Resulting Numbers: [48, 72]
Generated Node #0,4,1: 24:[48, 72] Operation: 78-6=72
Exploring Operation: 78-48=30, Resulting Numbers: [6, 30]
Generated Node #0,4,2: 24:[6, 30] Operation: 78-48=30
Exploring Operation: 48/6=8, Resulting Numbers: [78, 8]
Generated Node #0,4,3: 24:[78, 8] Operation: 48/6=8
Exploring Operation: 78/6=13, Resulting Numbers: [48, 13]
Generated Node #0,4,4: 24:[48, 13] Operation: 78/6=13
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 24:[6, 30], Operations: ['85-37=48', '78-48=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[85, 37, 78, 6], Operations: []
Exploring Operation: 85-37=48, Resulting Numbers: [78, 6, 48]
Generated Node #0,4: 24:[78, 6, 48] Operation: 85-37=48
Moving to Node #0,4
Current State: 24:[78, 6, 48], Operations: ['85-37=48']
Exploring Operation: 78-48=30, Resulting Numbers: [6, 30]
Generated Node #0,4,2: 24:[6, 30] Operation: 78-48=30
Moving to Node #0,4,2
Current State: 24:[6, 30], Operations: ['85-37=48', '78-48=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | sum_heuristic |
[
76,
80,
5,
90
] | 100 | [
"5+90=95",
"80*95=7600",
"7600/76=100"
] | Current State: 100:[76, 80, 5, 90], Operations: []
Exploring Operation: 5+90=95, Resulting Numbers: [76, 80, 95]
Generated Node #2: [76, 80, 95] from Operation: 5+90=95
Current State: 100:[76, 80, 95], Operations: ['5+90=95']
Exploring Operation: 80*95=7600, Resulting Numbers: [76, 7600]
Generated Node #3: [76, 7600] from Operation: 80*95=7600
Current State: 100:[76, 7600], Operations: ['5+90=95', '80*95=7600']
Exploring Operation: 7600/76=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[76, 80, 5, 90], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [80, 5, 14]
Generated Node #0,0: 100:[80, 5, 14] Operation: 90-76=14
Exploring Operation: 80/5=16, Resulting Numbers: [76, 90, 16]
Generated Node #0,1: 100:[76, 90, 16] Operation: 80/5=16
Exploring Operation: 80-76=4, Resulting Numbers: [5, 90, 4]
Generated Node #0,2: 100:[5, 90, 4] Operation: 80-76=4
Exploring Operation: 90-80=10, Resulting Numbers: [76, 5, 10]
Generated Node #0,3: 100:[76, 5, 10] Operation: 90-80=10
Exploring Operation: 90/5=18, Resulting Numbers: [76, 80, 18]
Generated Node #0,4: 100:[76, 80, 18] Operation: 90/5=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[5, 90, 4], Operations: ['80-76=4']
Exploring Operation: 90+4=94, Resulting Numbers: [5, 94]
Generated Node #0,2,0: 100:[5, 94] Operation: 90+4=94
Exploring Operation: 5+4=9, Resulting Numbers: [90, 9]
Generated Node #0,2,1: 100:[90, 9] Operation: 5+4=9
Exploring Operation: 5*4=20, Resulting Numbers: [90, 20]
Generated Node #0,2,2: 100:[90, 20] Operation: 5*4=20
Exploring Operation: 5+90=95, Resulting Numbers: [4, 95]
Generated Node #0,2,3: 100:[4, 95] Operation: 5+90=95
Exploring Operation: 90/5=18, Resulting Numbers: [4, 18]
Generated Node #0,2,4: 100:[4, 18] Operation: 90/5=18
Moving to Node #0,2,4
Current State: 100:[4, 18], Operations: ['80-76=4', '90/5=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,100 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[4, 95], Operations: ['80-76=4', '5+90=95']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 4*95=380, Resulting Numbers: [380]
380,100 unequal: No Solution
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[5, 94], Operations: ['80-76=4', '90+4=94']
Exploring Operation: 5*94=470, Resulting Numbers: [470]
470,100 unequal: No Solution
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,100 unequal: No Solution
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[90, 20], Operations: ['80-76=4', '5*4=20']
Exploring Operation: 90*20=1800, Resulting Numbers: [1800]
1800,100 unequal: No Solution
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 90+20=110, Resulting Numbers: [110]
110,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[90, 9], Operations: ['80-76=4', '5+4=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 90*9=810, Resulting Numbers: [810]
810,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[80, 5, 14], Operations: ['90-76=14']
Exploring Operation: 5+14=19, Resulting Numbers: [80, 19]
Generated Node #0,0,0: 100:[80, 19] Operation: 5+14=19
Exploring Operation: 80-14=66, Resulting Numbers: [5, 66]
Generated Node #0,0,1: 100:[5, 66] Operation: 80-14=66
Exploring Operation: 80+14=94, Resulting Numbers: [5, 94]
Generated Node #0,0,2: 100:[5, 94] Operation: 80+14=94
Exploring Operation: 80/5=16, Resulting Numbers: [14, 16]
Generated Node #0,0,3: 100:[14, 16] Operation: 80/5=16
Exploring Operation: 80+5=85, Resulting Numbers: [14, 85]
Generated Node #0,0,4: 100:[14, 85] Operation: 80+5=85
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 100:[5, 94], Operations: ['90-76=14', '80+14=94']
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,100 unequal: No Solution
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 5*94=470, Resulting Numbers: [470]
470,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 100:[14, 16], Operations: ['90-76=14', '80/5=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,100 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[5, 66], Operations: ['90-76=14', '80-14=66']
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 100:[14, 85], Operations: ['90-76=14', '80+5=85']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 14*85=1190, Resulting Numbers: [1190]
1190,100 unequal: No Solution
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[80, 19], Operations: ['90-76=14', '5+14=19']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 80*19=1520, Resulting Numbers: [1520]
1520,100 unequal: No Solution
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[76, 5, 10], Operations: ['90-80=10']
Exploring Operation: 76-5=71, Resulting Numbers: [10, 71]
Generated Node #0,3,0: 100:[10, 71] Operation: 76-5=71
Exploring Operation: 76+10=86, Resulting Numbers: [5, 86]
Generated Node #0,3,1: 100:[5, 86] Operation: 76+10=86
Exploring Operation: 76-10=66, Resulting Numbers: [5, 66]
Generated Node #0,3,2: 100:[5, 66] Operation: 76-10=66
Exploring Operation: 5*10=50, Resulting Numbers: [76, 50]
Generated Node #0,3,3: 100:[76, 50] Operation: 5*10=50
Exploring Operation: 76+5=81, Resulting Numbers: [10, 81]
Generated Node #0,3,4: 100:[10, 81] Operation: 76+5=81
Moving to Node #0,3,1
Current State: 100:[5, 86], Operations: ['90-80=10', '76+10=86']
Exploring Operation: 5*86=430, Resulting Numbers: [430]
430,100 unequal: No Solution
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[5, 66], Operations: ['90-80=10', '76-10=66']
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,100 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[10, 81], Operations: ['90-80=10', '76+5=81']
Exploring Operation: 10+81=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 10*81=810, Resulting Numbers: [810]
810,100 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[10, 71], Operations: ['90-80=10', '76-5=71']
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 10*71=710, Resulting Numbers: [710]
710,100 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[76, 50], Operations: ['90-80=10', '5*10=50']
Exploring Operation: 76+50=126, Resulting Numbers: [126]
126,100 unequal: No Solution
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 76*50=3800, Resulting Numbers: [3800]
3800,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[76, 90, 16], Operations: ['80/5=16']
Exploring Operation: 90+16=106, Resulting Numbers: [76, 106]
Generated Node #0,1,0: 100:[76, 106] Operation: 90+16=106
Exploring Operation: 90-76=14, Resulting Numbers: [16, 14]
Generated Node #0,1,1: 100:[16, 14] Operation: 90-76=14
Exploring Operation: 90-16=74, Resulting Numbers: [76, 74]
Generated Node #0,1,2: 100:[76, 74] Operation: 90-16=74
Exploring Operation: 76+16=92, Resulting Numbers: [90, 92]
Generated Node #0,1,3: 100:[90, 92] Operation: 76+16=92
Exploring Operation: 76-16=60, Resulting Numbers: [90, 60]
Generated Node #0,1,4: 100:[90, 60] Operation: 76-16=60
Moving to Node #0,1,1
Current State: 100:[16, 14], Operations: ['80/5=16', '90-76=14']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 16*14=224, Resulting Numbers: [224]
224,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[90, 92], Operations: ['80/5=16', '76+16=92']
Exploring Operation: 92-90=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 90*92=8280, Resulting Numbers: [8280]
8280,100 unequal: No Solution
Exploring Operation: 90+92=182, Resulting Numbers: [182]
182,100 unequal: No Solution
Moving to Node #0,1,4
Current State: 100:[90, 60], Operations: ['80/5=16', '76-16=60']
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 90+60=150, Resulting Numbers: [150]
150,100 unequal: No Solution
Exploring Operation: 90*60=5400, Resulting Numbers: [5400]
5400,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[76, 106], Operations: ['80/5=16', '90+16=106']
Exploring Operation: 76+106=182, Resulting Numbers: [182]
182,100 unequal: No Solution
Exploring Operation: 76*106=8056, Resulting Numbers: [8056]
8056,100 unequal: No Solution
Exploring Operation: 106-76=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[76, 74], Operations: ['80/5=16', '90-16=74']
Exploring Operation: 76*74=5624, Resulting Numbers: [5624]
5624,100 unequal: No Solution
Exploring Operation: 76-74=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 76+74=150, Resulting Numbers: [150]
150,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 100:[76, 80, 18], Operations: ['90/5=18']
Exploring Operation: 80+18=98, Resulting Numbers: [76, 98]
Generated Node #0,4,0: 100:[76, 98] Operation: 80+18=98
Exploring Operation: 76-18=58, Resulting Numbers: [80, 58]
Generated Node #0,4,1: 100:[80, 58] Operation: 76-18=58
Exploring Operation: 80-18=62, Resulting Numbers: [76, 62]
Generated Node #0,4,2: 100:[76, 62] Operation: 80-18=62
Exploring Operation: 76+18=94, Resulting Numbers: [80, 94]
Generated Node #0,4,3: 100:[80, 94] Operation: 76+18=94
Exploring Operation: 80-76=4, Resulting Numbers: [18, 4]
Generated Node #0,4,4: 100:[18, 4] Operation: 80-76=4
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 100:[18, 4], Operations: ['90/5=18', '80-76=4']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,100 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 #0,4,0
Current State: 100:[76, 98], Operations: ['90/5=18', '80+18=98']
Exploring Operation: 76+98=174, Resulting Numbers: [174]
174,100 unequal: No Solution
Exploring Operation: 76*98=7448, Resulting Numbers: [7448]
7448,100 unequal: No Solution
Exploring Operation: 98-76=22, Resulting Numbers: [22]
22,100 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 #0,4,3
Current State: 100:[80, 94], Operations: ['90/5=18', '76+18=94']
Exploring Operation: 80+94=174, Resulting Numbers: [174]
174,100 unequal: No Solution
Exploring Operation: 94-80=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 80*94=7520, Resulting Numbers: [7520]
7520,100 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 #0,4,1
Current State: 100:[80, 58], Operations: ['90/5=18', '76-18=58']
Exploring Operation: 80*58=4640, Resulting Numbers: [4640]
4640,100 unequal: No Solution
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 80+58=138, Resulting Numbers: [138]
138,100 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 #0,4,2
Current State: 100:[76, 62], Operations: ['90/5=18', '80-18=62']
Exploring Operation: 76*62=4712, Resulting Numbers: [4712]
4712,100 unequal: No Solution
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 76+62=138, Resulting Numbers: [138]
138,100 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
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
52,
21,
25
] | 24 | [
"52+21=73",
"73-25=48",
"48/2=24"
] | Current State: 24:[2, 52, 21, 25], Operations: []
Exploring Operation: 52+21=73, Resulting Numbers: [2, 25, 73]
Generated Node #2: [2, 25, 73] from Operation: 52+21=73
Current State: 24:[2, 25, 73], Operations: ['52+21=73']
Exploring Operation: 73-25=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 73-25=48
Current State: 24:[2, 48], Operations: ['52+21=73', '73-25=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[2, 52, 21, 25], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [21, 25, 26]
Generated Node #0,0: 24:[21, 25, 26] Operation: 52/2=26
Moving to Node #0,0
Current State: 24:[21, 25, 26], Operations: ['52/2=26']
Exploring Operation: 25-21=4, Resulting Numbers: [26, 4]
Generated Node #0,0,0: 24:[26, 4] Operation: 25-21=4
Moving to Node #0,0,0
Current State: 24:[26, 4], Operations: ['52/2=26', '25-21=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,24 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
85,
15,
72,
50
] | 36 | [
"85+15=100",
"72*50=3600",
"3600/100=36"
] | Current State: 36:[85, 15, 72, 50], Operations: []
Exploring Operation: 85+15=100, Resulting Numbers: [72, 50, 100]
Generated Node #2: [72, 50, 100] from Operation: 85+15=100
Current State: 36:[72, 50, 100], Operations: ['85+15=100']
Exploring Operation: 72*50=3600, Resulting Numbers: [100, 3600]
Generated Node #3: [100, 3600] from Operation: 72*50=3600
Current State: 36:[100, 3600], Operations: ['85+15=100', '72*50=3600']
Exploring Operation: 3600/100=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[85, 15, 72, 50], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [85, 15, 22]
Generated Node #0,0: 36:[85, 15, 22] Operation: 72-50=22
Exploring Operation: 85-50=35, Resulting Numbers: [15, 72, 35]
Generated Node #0,1: 36:[15, 72, 35] Operation: 85-50=35
Exploring Operation: 85-72=13, Resulting Numbers: [15, 50, 13]
Generated Node #0,2: 36:[15, 50, 13] Operation: 85-72=13
Exploring Operation: 85-15=70, Resulting Numbers: [72, 50, 70]
Generated Node #0,3: 36:[72, 50, 70] Operation: 85-15=70
Moving to Node #0,2
Current State: 36:[15, 50, 13], Operations: ['85-72=13']
Exploring Operation: 50-15=35, Resulting Numbers: [13, 35]
Generated Node #0,2,0: 36:[13, 35] Operation: 50-15=35
Exploring Operation: 50-13=37, Resulting Numbers: [15, 37]
Generated Node #0,2,1: 36:[15, 37] Operation: 50-13=37
Exploring Operation: 15+13=28, Resulting Numbers: [50, 28]
Generated Node #0,2,2: 36:[50, 28] Operation: 15+13=28
Exploring Operation: 15-13=2, Resulting Numbers: [50, 2]
Generated Node #0,2,3: 36:[50, 2] Operation: 15-13=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[13, 35], Operations: ['85-72=13', '50-15=35']
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 13*35=455, Resulting Numbers: [455]
455,36 unequal: No Solution
Exploring Operation: 13+35=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[15, 37], Operations: ['85-72=13', '50-13=37']
Exploring Operation: 15*37=555, Resulting Numbers: [555]
555,36 unequal: No Solution
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 36:[50, 2], Operations: ['85-72=13', '15-13=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,36 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,36 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[50, 28], Operations: ['85-72=13', '15+13=28']
Exploring Operation: 50*28=1400, Resulting Numbers: [1400]
1400,36 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 50+28=78, Resulting Numbers: [78]
78,36 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: 36:[15, 72, 35], Operations: ['85-50=35']
Exploring Operation: 72-15=57, Resulting Numbers: [35, 57]
Generated Node #0,1,0: 36:[35, 57] Operation: 72-15=57
Exploring Operation: 72-35=37, Resulting Numbers: [15, 37]
Generated Node #0,1,1: 36:[15, 37] Operation: 72-35=37
Exploring Operation: 35-15=20, Resulting Numbers: [72, 20]
Generated Node #0,1,2: 36:[72, 20] Operation: 35-15=20
Exploring Operation: 15+35=50, Resulting Numbers: [72, 50]
Generated Node #0,1,3: 36:[72, 50] Operation: 15+35=50
Moving to Node #0,0
Current State: 36:[85, 15, 22], Operations: ['72-50=22']
Exploring Operation: 85-15=70, Resulting Numbers: [22, 70]
Generated Node #0,0,0: 36:[22, 70] Operation: 85-15=70
Exploring Operation: 22-15=7, Resulting Numbers: [85, 7]
Generated Node #0,0,1: 36:[85, 7] Operation: 22-15=7
Exploring Operation: 85-22=63, Resulting Numbers: [15, 63]
Generated Node #0,0,2: 36:[15, 63] Operation: 85-22=63
Exploring Operation: 15+22=37, Resulting Numbers: [85, 37]
Generated Node #0,0,3: 36:[85, 37] Operation: 15+22=37
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 36:[15, 63], Operations: ['72-50=22', '85-22=63']
Exploring Operation: 15+63=78, Resulting Numbers: [78]
78,36 unequal: No Solution
Exploring Operation: 15*63=945, Resulting Numbers: [945]
945,36 unequal: No Solution
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[22, 70], Operations: ['72-50=22', '85-15=70']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,36 unequal: No Solution
Exploring Operation: 22+70=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 22*70=1540, Resulting Numbers: [1540]
1540,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[85, 7], Operations: ['72-50=22', '22-15=7']
Exploring Operation: 85*7=595, Resulting Numbers: [595]
595,36 unequal: No Solution
Exploring Operation: 85+7=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 36:[85, 37], Operations: ['72-50=22', '15+22=37']
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,36 unequal: No Solution
Exploring Operation: 85*37=3145, Resulting Numbers: [3145]
3145,36 unequal: No Solution
Exploring Operation: 85+37=122, Resulting Numbers: [122]
122,36 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: 36:[72, 50, 70], Operations: ['85-15=70']
Exploring Operation: 70-50=20, Resulting Numbers: [72, 20]
Generated Node #0,3,0: 36:[72, 20] Operation: 70-50=20
Exploring Operation: 72-50=22, Resulting Numbers: [70, 22]
Generated Node #0,3,1: 36:[70, 22] Operation: 72-50=22
Exploring Operation: 72-70=2, Resulting Numbers: [50, 2]
Generated Node #0,3,2: 36:[50, 2] Operation: 72-70=2
Exploring Operation: 72+50=122, Resulting Numbers: [70, 122]
Generated Node #0,3,3: 36:[70, 122] Operation: 72+50=122
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 36:[50, 2], Operations: ['85-15=70', '72-70=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,36 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,36 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 36:[72, 20], Operations: ['85-15=70', '70-50=20']
Exploring Operation: 72*20=1440, Resulting Numbers: [1440]
1440,36 unequal: No Solution
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 36:[70, 22], Operations: ['85-15=70', '72-50=22']
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,36 unequal: No Solution
Exploring Operation: 70*22=1540, Resulting Numbers: [1540]
1540,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 36:[70, 122], Operations: ['85-15=70', '72+50=122']
Exploring Operation: 70+122=192, Resulting Numbers: [192]
192,36 unequal: No Solution
Exploring Operation: 70*122=8540, Resulting Numbers: [8540]
8540,36 unequal: No Solution
Exploring Operation: 122-70=52, Resulting Numbers: [52]
52,36 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: 36:[15, 37], Operations: ['85-50=35', '72-35=37']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 15*37=555, Resulting Numbers: [555]
555,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[35, 57], Operations: ['85-50=35', '72-15=57']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 35+57=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 35*57=1995, Resulting Numbers: [1995]
1995,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[72, 20], Operations: ['85-50=35', '35-15=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 72*20=1440, Resulting Numbers: [1440]
1440,36 unequal: No Solution
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[72, 50], Operations: ['85-50=35', '15+35=50']
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 72+50=122, Resulting Numbers: [122]
122,36 unequal: No Solution
Exploring Operation: 72*50=3600, Resulting Numbers: [3600]
3600,36 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
48,
75,
62,
78
] | 59 | [
"75*62=4650",
"4650-48=4602",
"4602/78=59"
] | Current State: 59:[48, 75, 62, 78], Operations: []
Exploring Operation: 75*62=4650, Resulting Numbers: [48, 78, 4650]
Generated Node #2: [48, 78, 4650] from Operation: 75*62=4650
Current State: 59:[48, 78, 4650], Operations: ['75*62=4650']
Exploring Operation: 4650-48=4602, Resulting Numbers: [78, 4602]
Generated Node #3: [78, 4602] from Operation: 4650-48=4602
Current State: 59:[78, 4602], Operations: ['75*62=4650', '4650-48=4602']
Exploring Operation: 4602/78=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[48, 75, 62, 78], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [75, 62, 30]
Generated Node #0,0: 59:[75, 62, 30] Operation: 78-48=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[75, 62, 30], Operations: ['78-48=30']
Exploring Operation: 75-30=45, Resulting Numbers: [62, 45]
Generated Node #0,0,0: 59:[62, 45] Operation: 75-30=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[62, 45], Operations: ['78-48=30', '75-30=45']
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
37,
43,
1,
8
] | 10 | [
"37+43=80",
"1*8=8",
"80/8=10"
] | Current State: 10:[37, 43, 1, 8], Operations: []
Exploring Operation: 37+43=80, Resulting Numbers: [1, 8, 80]
Generated Node #2: [1, 8, 80] from Operation: 37+43=80
Current State: 10:[1, 8, 80], Operations: ['37+43=80']
Exploring Operation: 1*8=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 1*8=8
Current State: 10:[80, 8], Operations: ['37+43=80', '1*8=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[37, 43, 1, 8], Operations: []
Exploring Operation: 43-37=6, Resulting Numbers: [1, 8, 6]
Generated Node #0,0: 10:[1, 8, 6] Operation: 43-37=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[1, 8, 6], Operations: ['43-37=6']
Exploring Operation: 8-6=2, Resulting Numbers: [1, 2]
Generated Node #0,0,0: 10:[1, 2] Operation: 8-6=2
Moving to Node #0,0,0
Current State: 10:[1, 2], Operations: ['43-37=6', '8-6=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,10 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,
29,
93,
64
] | 78 | [
"20+29=49",
"93-64=29",
"49+29=78"
] | Current State: 78:[20, 29, 93, 64], Operations: []
Exploring Operation: 20+29=49, Resulting Numbers: [93, 64, 49]
Generated Node #2: [93, 64, 49] from Operation: 20+29=49
Current State: 78:[93, 64, 49], Operations: ['20+29=49']
Exploring Operation: 93-64=29, Resulting Numbers: [49, 29]
Generated Node #3: [49, 29] from Operation: 93-64=29
Current State: 78:[49, 29], Operations: ['20+29=49', '93-64=29']
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[20, 29, 93, 64], Operations: []
Exploring Operation: 93-20=73, Resulting Numbers: [29, 64, 73]
Generated Node #0,0: 78:[29, 64, 73] Operation: 93-20=73
Exploring Operation: 20+64=84, Resulting Numbers: [29, 93, 84]
Generated Node #0,1: 78:[29, 93, 84] Operation: 20+64=84
Exploring Operation: 64-20=44, Resulting Numbers: [29, 93, 44]
Generated Node #0,2: 78:[29, 93, 44] Operation: 64-20=44
Exploring Operation: 93-64=29, Resulting Numbers: [20, 29, 29]
Generated Node #0,3: 78:[20, 29, 29] Operation: 93-64=29
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[20, 29, 29], Operations: ['93-64=29']
Exploring Operation: 29/29=1, Resulting Numbers: [20, 1]
Generated Node #0,3,0: 78:[20, 1] Operation: 29/29=1
Exploring Operation: 29-29=0, Resulting Numbers: [20, 0]
Generated Node #0,3,1: 78:[20, 0] Operation: 29-29=0
Exploring Operation: 29-20=9, Resulting Numbers: [29, 9]
Generated Node #0,3,2: 78:[29, 9] Operation: 29-20=9
Exploring Operation: 29-20=9, Resulting Numbers: [29, 9]
Generated Node #0,3,3: 78:[29, 9] Operation: 29-20=9
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 78:[29, 9], Operations: ['93-64=29', '29-20=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,78 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 78:[29, 9], Operations: ['93-64=29', '29-20=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 78:[20, 1], Operations: ['93-64=29', '29/29=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 78:[20, 0], Operations: ['93-64=29', '29-29=0']
Exploring Operation: 20*0=0, Resulting Numbers: [0]
0,78 unequal: No Solution
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[29, 64, 73], Operations: ['93-20=73']
Exploring Operation: 73-29=44, Resulting Numbers: [64, 44]
Generated Node #0,0,0: 78:[64, 44] Operation: 73-29=44
Exploring Operation: 73-64=9, Resulting Numbers: [29, 9]
Generated Node #0,0,1: 78:[29, 9] Operation: 73-64=9
Exploring Operation: 29+64=93, Resulting Numbers: [73, 93]
Generated Node #0,0,2: 78:[73, 93] Operation: 29+64=93
Exploring Operation: 64-29=35, Resulting Numbers: [73, 35]
Generated Node #0,0,3: 78:[73, 35] Operation: 64-29=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[29, 9], Operations: ['93-20=73', '73-64=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 78:[73, 35], Operations: ['93-20=73', '64-29=35']
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,78 unequal: No Solution
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[64, 44], Operations: ['93-20=73', '73-29=44']
Exploring Operation: 64+44=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 64*44=2816, Resulting Numbers: [2816]
2816,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[73, 93], Operations: ['93-20=73', '29+64=93']
Exploring Operation: 73*93=6789, Resulting Numbers: [6789]
6789,78 unequal: No Solution
Exploring Operation: 73+93=166, Resulting Numbers: [166]
166,78 unequal: No Solution
Exploring Operation: 93-73=20, Resulting Numbers: [20]
20,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[29, 93, 44], Operations: ['64-20=44']
Exploring Operation: 29+44=73, Resulting Numbers: [93, 73]
Generated Node #0,2,0: 78:[93, 73] Operation: 29+44=73
Exploring Operation: 93-44=49, Resulting Numbers: [29, 49]
Generated Node #0,2,1: 78:[29, 49] Operation: 93-44=49
Exploring Operation: 44-29=15, Resulting Numbers: [93, 15]
Generated Node #0,2,2: 78:[93, 15] Operation: 44-29=15
Exploring Operation: 93-29=64, Resulting Numbers: [44, 64]
Generated Node #0,2,3: 78:[44, 64] Operation: 93-29=64
Moving to Node #0,2,1
Current State: 78:[29, 49], Operations: ['64-20=44', '93-44=49']
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,78 unequal: No Solution
Exploring Operation: 29*49=1421, Resulting Numbers: [1421]
1421,78 unequal: No Solution
Exploring Operation: 29+49=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[20, 29, 93, 64], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [29, 93, 44]
Generated Node #0,2: 78:[29, 93, 44] Operation: 64-20=44
Moving to Node #0,2
Current State: 78:[29, 93, 44], Operations: ['64-20=44']
Exploring Operation: 93-44=49, Resulting Numbers: [29, 49]
Generated Node #0,2,1: 78:[29, 49] Operation: 93-44=49
Moving to Node #0,2,1
Current State: 78:[29, 49], Operations: ['64-20=44', '93-44=49']
Exploring Operation: 29+49=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_4 | sum_heuristic |
[
51,
80,
14,
2
] | 17 | [
"80-51=29",
"14-2=12",
"29-12=17"
] | Current State: 17:[51, 80, 14, 2], Operations: []
Exploring Operation: 80-51=29, Resulting Numbers: [14, 2, 29]
Generated Node #2: [14, 2, 29] from Operation: 80-51=29
Current State: 17:[14, 2, 29], Operations: ['80-51=29']
Exploring Operation: 14-2=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 14-2=12
Current State: 17:[29, 12], Operations: ['80-51=29', '14-2=12']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[51, 80, 14, 2], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [51, 14, 40]
Generated Node #0,0: 17:[51, 14, 40] Operation: 80/2=40
Exploring Operation: 80-51=29, Resulting Numbers: [14, 2, 29]
Generated Node #0,1: 17:[14, 2, 29] Operation: 80-51=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[14, 2, 29], Operations: ['80-51=29']
Exploring Operation: 29-2=27, Resulting Numbers: [14, 27]
Generated Node #0,1,0: 17:[14, 27] Operation: 29-2=27
Exploring Operation: 14+2=16, Resulting Numbers: [29, 16]
Generated Node #0,1,1: 17:[29, 16] Operation: 14+2=16
Moving to Node #0,1,0
Current State: 17:[14, 27], Operations: ['80-51=29', '29-2=27']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[29, 16], Operations: ['80-51=29', '14+2=16']
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,17 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[51, 14, 40], Operations: ['80/2=40']
Exploring Operation: 51-14=37, Resulting Numbers: [40, 37]
Generated Node #0,0,0: 17:[40, 37] Operation: 51-14=37
Exploring Operation: 51-40=11, Resulting Numbers: [14, 11]
Generated Node #0,0,1: 17:[14, 11] Operation: 51-40=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[14, 11], Operations: ['80/2=40', '51-40=11']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,17 unequal: No Solution
No 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: 17:[40, 37], Operations: ['80/2=40', '51-14=37']
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 40+37=77, Resulting Numbers: [77]
77,17 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_2 | sum_heuristic |
[
4,
80,
16,
19
] | 81 | [
"4+80=84",
"19-16=3",
"84-3=81"
] | Current State: 81:[4, 80, 16, 19], Operations: []
Exploring Operation: 4+80=84, Resulting Numbers: [16, 19, 84]
Generated Node #2: [16, 19, 84] from Operation: 4+80=84
Current State: 81:[16, 19, 84], Operations: ['4+80=84']
Exploring Operation: 19-16=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 19-16=3
Current State: 81:[84, 3], Operations: ['4+80=84', '19-16=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[4, 80, 16, 19], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [4, 80, 3]
Generated Node #0,0: 81:[4, 80, 3] Operation: 19-16=3
Exploring Operation: 16-4=12, Resulting Numbers: [80, 19, 12]
Generated Node #0,1: 81:[80, 19, 12] Operation: 16-4=12
Exploring Operation: 16+19=35, Resulting Numbers: [4, 80, 35]
Generated Node #0,2: 81:[4, 80, 35] Operation: 16+19=35
Exploring Operation: 16/4=4, Resulting Numbers: [80, 19, 4]
Generated Node #0,3: 81:[80, 19, 4] Operation: 16/4=4
Exploring Operation: 80/16=5, Resulting Numbers: [4, 19, 5]
Generated Node #0,4: 81:[4, 19, 5] Operation: 80/16=5
Moving to Node #0,0
Current State: 81:[4, 80, 3], Operations: ['19-16=3']
Exploring Operation: 4-3=1, Resulting Numbers: [80, 1]
Generated Node #0,0,0: 81:[80, 1] Operation: 4-3=1
Exploring Operation: 4+3=7, Resulting Numbers: [80, 7]
Generated Node #0,0,1: 81:[80, 7] Operation: 4+3=7
Exploring Operation: 4+80=84, Resulting Numbers: [3, 84]
Generated Node #0,0,2: 81:[3, 84] Operation: 4+80=84
Exploring Operation: 80+3=83, Resulting Numbers: [4, 83]
Generated Node #0,0,3: 81:[4, 83] Operation: 80+3=83
Exploring Operation: 4*3=12, Resulting Numbers: [80, 12]
Generated Node #0,0,4: 81:[80, 12] Operation: 4*3=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[80, 1], Operations: ['19-16=3', '4-3=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,81 unequal: No Solution
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[4, 80, 16, 19], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [4, 80, 3]
Generated Node #0,0: 81:[4, 80, 3] Operation: 19-16=3
Moving to Node #0,0
Current State: 81:[4, 80, 3], Operations: ['19-16=3']
Exploring Operation: 4-3=1, Resulting Numbers: [80, 1]
Generated Node #0,0,0: 81:[80, 1] Operation: 4-3=1
Moving to Node #0,0,0
Current State: 81:[80, 1], Operations: ['19-16=3', '4-3=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
99,
88,
45,
66
] | 39 | [
"99-88=11",
"66/11=6",
"45-6=39"
] | Current State: 39:[99, 88, 45, 66], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [45, 66, 11]
Generated Node #2: [45, 66, 11] from Operation: 99-88=11
Current State: 39:[45, 66, 11], Operations: ['99-88=11']
Exploring Operation: 66/11=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 66/11=6
Current State: 39:[45, 6], Operations: ['99-88=11', '66/11=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[99, 88, 45, 66], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [45, 66, 11]
Generated Node #0,0: 39:[45, 66, 11] Operation: 99-88=11
Exploring Operation: 99-66=33, Resulting Numbers: [88, 45, 33]
Generated Node #0,1: 39:[88, 45, 33] Operation: 99-66=33
Moving to Node #0,0
Current State: 39:[45, 66, 11], Operations: ['99-88=11']
Exploring Operation: 66-45=21, Resulting Numbers: [11, 21]
Generated Node #0,0,0: 39:[11, 21] Operation: 66-45=21
Exploring Operation: 66/11=6, Resulting Numbers: [45, 6]
Generated Node #0,0,1: 39:[45, 6] Operation: 66/11=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[45, 6], Operations: ['99-88=11', '66/11=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[99, 88, 45, 66], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [45, 66, 11]
Generated Node #0,0: 39:[45, 66, 11] Operation: 99-88=11
Moving to Node #0,0
Current State: 39:[45, 66, 11], Operations: ['99-88=11']
Exploring Operation: 66/11=6, Resulting Numbers: [45, 6]
Generated Node #0,0,1: 39:[45, 6] Operation: 66/11=6
Moving to Node #0,0,1
Current State: 39:[45, 6], Operations: ['99-88=11', '66/11=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
96,
42,
34,
60
] | 99 | [
"42+60=102",
"102/34=3",
"96+3=99"
] | Current State: 99:[96, 42, 34, 60], Operations: []
Exploring Operation: 42+60=102, Resulting Numbers: [96, 34, 102]
Generated Node #2: [96, 34, 102] from Operation: 42+60=102
Current State: 99:[96, 34, 102], Operations: ['42+60=102']
Exploring Operation: 102/34=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 102/34=3
Current State: 99:[96, 3], Operations: ['42+60=102', '102/34=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[96, 42, 34, 60], Operations: []
Exploring Operation: 42+60=102, Resulting Numbers: [96, 34, 102]
Generated Node #0,0: 99:[96, 34, 102] Operation: 42+60=102
Exploring Operation: 60-42=18, Resulting Numbers: [96, 34, 18]
Generated Node #0,1: 99:[96, 34, 18] Operation: 60-42=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[96, 34, 102], Operations: ['42+60=102']
Exploring Operation: 102/34=3, Resulting Numbers: [96, 3]
Generated Node #0,0,0: 99:[96, 3] Operation: 102/34=3
Exploring Operation: 102-96=6, Resulting Numbers: [34, 6]
Generated Node #0,0,1: 99:[34, 6] Operation: 102-96=6
Moving to Node #0,0,0
Current State: 99:[96, 3], Operations: ['42+60=102', '102/34=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[96, 42, 34, 60], Operations: []
Exploring Operation: 42+60=102, Resulting Numbers: [96, 34, 102]
Generated Node #0,0: 99:[96, 34, 102] Operation: 42+60=102
Moving to Node #0,0
Current State: 99:[96, 34, 102], Operations: ['42+60=102']
Exploring Operation: 102/34=3, Resulting Numbers: [96, 3]
Generated Node #0,0,0: 99:[96, 3] Operation: 102/34=3
Moving to Node #0,0,0
Current State: 99:[96, 3], Operations: ['42+60=102', '102/34=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
20,
94,
5,
57
] | 33 | [
"20/5=4",
"94-57=37",
"37-4=33"
] | Current State: 33:[20, 94, 5, 57], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [94, 57, 4]
Generated Node #2: [94, 57, 4] from Operation: 20/5=4
Current State: 33:[94, 57, 4], Operations: ['20/5=4']
Exploring Operation: 94-57=37, Resulting Numbers: [4, 37]
Generated Node #3: [4, 37] from Operation: 94-57=37
Current State: 33:[4, 37], Operations: ['20/5=4', '94-57=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[20, 94, 5, 57], Operations: []
Exploring Operation: 94-57=37, Resulting Numbers: [20, 5, 37]
Generated Node #0,0: 33:[20, 5, 37] Operation: 94-57=37
Moving to Node #0,0
Current State: 33:[20, 5, 37], Operations: ['94-57=37']
Exploring Operation: 20/5=4, Resulting Numbers: [37, 4]
Generated Node #0,0,0: 33:[37, 4] Operation: 20/5=4
Moving to Node #0,0,0
Current State: 33:[37, 4], Operations: ['94-57=37', '20/5=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[20, 94, 5, 57], Operations: []
Exploring Operation: 94-57=37, Resulting Numbers: [20, 5, 37]
Generated Node #0,0: 33:[20, 5, 37] Operation: 94-57=37
Moving to Node #0,0
Current State: 33:[20, 5, 37], Operations: ['94-57=37']
Exploring Operation: 20/5=4, Resulting Numbers: [37, 4]
Generated Node #0,0,0: 33:[37, 4] Operation: 20/5=4
Moving to Node #0,0,0
Current State: 33:[37, 4], Operations: ['94-57=37', '20/5=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
29,
94,
65,
29
] | 94 | [
"29-29=0",
"65*0=0",
"94+0=94"
] | Current State: 94:[29, 94, 65, 29], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [94, 65, 0]
Generated Node #2: [94, 65, 0] from Operation: 29-29=0
Current State: 94:[94, 65, 0], Operations: ['29-29=0']
Exploring Operation: 65*0=0, Resulting Numbers: [94, 0]
Generated Node #3: [94, 0] from Operation: 65*0=0
Current State: 94:[94, 0], Operations: ['29-29=0', '65*0=0']
Exploring Operation: 94+0=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[29, 94, 65, 29], Operations: []
Exploring Operation: 29+65=94, Resulting Numbers: [94, 29, 94]
Generated Node #0,0: 94:[94, 29, 94] Operation: 29+65=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[94, 29, 94], Operations: ['29+65=94']
Exploring Operation: 94-29=65, Resulting Numbers: [94, 65]
Generated Node #0,0,0: 94:[94, 65] Operation: 94-29=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[94, 65], Operations: ['29+65=94', '94-29=65']
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
29,
6,
24,
66
] | 26 | [
"6+66=72",
"72/24=3",
"29-3=26"
] | Current State: 26:[29, 6, 24, 66], Operations: []
Exploring Operation: 6+66=72, Resulting Numbers: [29, 24, 72]
Generated Node #2: [29, 24, 72] from Operation: 6+66=72
Current State: 26:[29, 24, 72], Operations: ['6+66=72']
Exploring Operation: 72/24=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 72/24=3
Current State: 26:[29, 3], Operations: ['6+66=72', '72/24=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[29, 6, 24, 66], Operations: []
Exploring Operation: 66-6=60, Resulting Numbers: [29, 24, 60]
Generated Node #0,0: 26:[29, 24, 60] Operation: 66-6=60
Exploring Operation: 66-29=37, Resulting Numbers: [6, 24, 37]
Generated Node #0,1: 26:[6, 24, 37] Operation: 66-29=37
Exploring Operation: 66-24=42, Resulting Numbers: [29, 6, 42]
Generated Node #0,2: 26:[29, 6, 42] Operation: 66-24=42
Exploring Operation: 66/6=11, Resulting Numbers: [29, 24, 11]
Generated Node #0,3: 26:[29, 24, 11] Operation: 66/6=11
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[29, 24, 11], Operations: ['66/6=11']
Exploring Operation: 24+11=35, Resulting Numbers: [29, 35]
Generated Node #0,3,0: 26:[29, 35] Operation: 24+11=35
Exploring Operation: 29-11=18, Resulting Numbers: [24, 18]
Generated Node #0,3,1: 26:[24, 18] Operation: 29-11=18
Exploring Operation: 29-24=5, Resulting Numbers: [11, 5]
Generated Node #0,3,2: 26:[11, 5] Operation: 29-24=5
Exploring Operation: 24-11=13, Resulting Numbers: [29, 13]
Generated Node #0,3,3: 26:[29, 13] Operation: 24-11=13
Moving to Node #0,3,3
Current State: 26:[29, 13], Operations: ['66/6=11', '24-11=13']
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[11, 5], Operations: ['66/6=11', '29-24=5']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[24, 18], Operations: ['66/6=11', '29-11=18']
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,26 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[29, 35], Operations: ['66/6=11', '24+11=35']
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,26 unequal: No Solution
Exploring Operation: 29*35=1015, Resulting Numbers: [1015]
1015,26 unequal: No Solution
Exploring Operation: 29+35=64, Resulting Numbers: [64]
64,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[6, 24, 37], Operations: ['66-29=37']
Exploring Operation: 24/6=4, Resulting Numbers: [37, 4]
Generated Node #0,1,0: 26:[37, 4] Operation: 24/6=4
Exploring Operation: 6+24=30, Resulting Numbers: [37, 30]
Generated Node #0,1,1: 26:[37, 30] Operation: 6+24=30
Exploring Operation: 37-24=13, Resulting Numbers: [6, 13]
Generated Node #0,1,2: 26:[6, 13] Operation: 37-24=13
Exploring Operation: 37-6=31, Resulting Numbers: [24, 31]
Generated Node #0,1,3: 26:[24, 31] Operation: 37-6=31
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[6, 13], Operations: ['66-29=37', '37-24=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 26:[24, 31], Operations: ['66-29=37', '37-6=31']
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 26:[37, 4], Operations: ['66-29=37', '24/6=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,26 unequal: No Solution
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,26 unequal: No Solution
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[37, 30], Operations: ['66-29=37', '6+24=30']
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,26 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[29, 6, 42], Operations: ['66-24=42']
Exploring Operation: 42-6=36, Resulting Numbers: [29, 36]
Generated Node #0,2,0: 26:[29, 36] Operation: 42-6=36
Exploring Operation: 29-6=23, Resulting Numbers: [42, 23]
Generated Node #0,2,1: 26:[42, 23] Operation: 29-6=23
Exploring Operation: 42/6=7, Resulting Numbers: [29, 7]
Generated Node #0,2,2: 26:[29, 7] Operation: 42/6=7
Exploring Operation: 42-29=13, Resulting Numbers: [6, 13]
Generated Node #0,2,3: 26:[6, 13] Operation: 42-29=13
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 26:[6, 13], Operations: ['66-24=42', '42-29=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 26:[29, 7], Operations: ['66-24=42', '42/6=7']
Exploring Operation: 29*7=203, Resulting Numbers: [203]
203,26 unequal: No Solution
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 26:[29, 36], Operations: ['66-24=42', '42-6=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,26 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 26:[42, 23], Operations: ['66-24=42', '29-6=23']
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,26 unequal: No Solution
Exploring Operation: 42*23=966, Resulting Numbers: [966]
966,26 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[29, 24, 60], Operations: ['66-6=60']
Exploring Operation: 60-29=31, Resulting Numbers: [24, 31]
Generated Node #0,0,0: 26:[24, 31] Operation: 60-29=31
Exploring Operation: 29+24=53, Resulting Numbers: [60, 53]
Generated Node #0,0,1: 26:[60, 53] Operation: 29+24=53
Exploring Operation: 29-24=5, Resulting Numbers: [60, 5]
Generated Node #0,0,2: 26:[60, 5] Operation: 29-24=5
Exploring Operation: 60-24=36, Resulting Numbers: [29, 36]
Generated Node #0,0,3: 26:[29, 36] Operation: 60-24=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[24, 31], Operations: ['66-6=60', '60-29=31']
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,26 unequal: No Solution
Exploring Operation: 24*31=744, Resulting Numbers: [744]
744,26 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 26:[29, 36], Operations: ['66-6=60', '60-24=36']
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,26 unequal: No Solution
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 26:[60, 5], Operations: ['66-6=60', '29-24=5']
Exploring Operation: 60*5=300, Resulting Numbers: [300]
300,26 unequal: No Solution
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,26 unequal: No Solution
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,26 unequal: No Solution
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[60, 53], Operations: ['66-6=60', '29+24=53']
Exploring Operation: 60+53=113, Resulting Numbers: [113]
113,26 unequal: No Solution
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 60*53=3180, Resulting Numbers: [3180]
3180,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
70,
48,
12,
38
] | 50 | [
"48-38=10",
"12*10=120",
"120-70=50"
] | Current State: 50:[70, 48, 12, 38], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [70, 12, 10]
Generated Node #2: [70, 12, 10] from Operation: 48-38=10
Current State: 50:[70, 12, 10], Operations: ['48-38=10']
Exploring Operation: 12*10=120, Resulting Numbers: [70, 120]
Generated Node #3: [70, 120] from Operation: 12*10=120
Current State: 50:[70, 120], Operations: ['48-38=10', '12*10=120']
Exploring Operation: 120-70=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[70, 48, 12, 38], Operations: []
Exploring Operation: 70-12=58, Resulting Numbers: [48, 38, 58]
Generated Node #0,0: 50:[48, 38, 58] Operation: 70-12=58
Exploring Operation: 12+38=50, Resulting Numbers: [70, 48, 50]
Generated Node #0,1: 50:[70, 48, 50] Operation: 12+38=50
Exploring Operation: 70-38=32, Resulting Numbers: [48, 12, 32]
Generated Node #0,2: 50:[48, 12, 32] Operation: 70-38=32
Exploring Operation: 48-38=10, Resulting Numbers: [70, 12, 10]
Generated Node #0,3: 50:[70, 12, 10] Operation: 48-38=10
Exploring Operation: 70-48=22, Resulting Numbers: [12, 38, 22]
Generated Node #0,4: 50:[12, 38, 22] Operation: 70-48=22
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[48, 12, 32], Operations: ['70-38=32']
Exploring Operation: 48+12=60, Resulting Numbers: [32, 60]
Generated Node #0,2,0: 50:[32, 60] Operation: 48+12=60
Exploring Operation: 32-12=20, Resulting Numbers: [48, 20]
Generated Node #0,2,1: 50:[48, 20] Operation: 32-12=20
Exploring Operation: 48-32=16, Resulting Numbers: [12, 16]
Generated Node #0,2,2: 50:[12, 16] Operation: 48-32=16
Exploring Operation: 12+32=44, Resulting Numbers: [48, 44]
Generated Node #0,2,3: 50:[48, 44] Operation: 12+32=44
Exploring Operation: 48/12=4, Resulting Numbers: [32, 4]
Generated Node #0,2,4: 50:[32, 4] Operation: 48/12=4
Moving to Node #0,2,1
Current State: 50:[48, 20], Operations: ['70-38=32', '32-12=20']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,50 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Moving to Node #0,2,3
Current State: 50:[48, 44], Operations: ['70-38=32', '12+32=44']
Exploring Operation: 48*44=2112, Resulting Numbers: [2112]
2112,50 unequal: No Solution
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[12, 16], Operations: ['70-38=32', '48-32=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,50 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Moving to Node #0,2,4
Current State: 50:[32, 4], Operations: ['70-38=32', '48/12=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,50 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[32, 60], Operations: ['70-38=32', '48+12=60']
Exploring Operation: 32*60=1920, Resulting Numbers: [1920]
1920,50 unequal: No Solution
Exploring Operation: 32+60=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 50:[12, 38, 22], Operations: ['70-48=22']
Exploring Operation: 38-22=16, Resulting Numbers: [12, 16]
Generated Node #0,4,0: 50:[12, 16] Operation: 38-22=16
Exploring Operation: 12+38=50, Resulting Numbers: [22, 50]
Generated Node #0,4,1: 50:[22, 50] Operation: 12+38=50
Exploring Operation: 22-12=10, Resulting Numbers: [38, 10]
Generated Node #0,4,2: 50:[38, 10] Operation: 22-12=10
Exploring Operation: 38-12=26, Resulting Numbers: [22, 26]
Generated Node #0,4,3: 50:[22, 26] Operation: 38-12=26
Exploring Operation: 38+22=60, Resulting Numbers: [12, 60]
Generated Node #0,4,4: 50:[12, 60] Operation: 38+22=60
Moving to Node #0,4,1
Current State: 50:[22, 50], Operations: ['70-48=22', '12+38=50']
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,50 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Moving to Node #0,4,3
Current State: 50:[22, 26], Operations: ['70-48=22', '38-12=26']
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,50 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Moving to Node #0,4,0
Current State: 50:[12, 16], Operations: ['70-48=22', '38-22=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,50 unequal: No Solution
Moving to Node #0,4,2
Current State: 50:[38, 10], Operations: ['70-48=22', '22-12=10']
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,50 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Moving to Node #0,4,4
Current State: 50:[12, 60], Operations: ['70-48=22', '38+22=60']
Exploring Operation: 12+60=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 12*60=720, Resulting Numbers: [720]
720,50 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 #0,0
Current State: 50:[48, 38, 58], Operations: ['70-12=58']
Exploring Operation: 58-38=20, Resulting Numbers: [48, 20]
Generated Node #0,0,0: 50:[48, 20] Operation: 58-38=20
Exploring Operation: 38+58=96, Resulting Numbers: [48, 96]
Generated Node #0,0,1: 50:[48, 96] Operation: 38+58=96
Exploring Operation: 48-38=10, Resulting Numbers: [58, 10]
Generated Node #0,0,2: 50:[58, 10] Operation: 48-38=10
Exploring Operation: 58-48=10, Resulting Numbers: [38, 10]
Generated Node #0,0,3: 50:[38, 10] Operation: 58-48=10
Exploring Operation: 48+38=86, Resulting Numbers: [58, 86]
Generated Node #0,0,4: 50:[58, 86] Operation: 48+38=86
Moving to Node #0,0,0
Current State: 50:[48, 20], Operations: ['70-12=58', '58-38=20']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,50 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[58, 10], Operations: ['70-12=58', '48-38=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,50 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[38, 10], Operations: ['70-12=58', '58-48=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,50 unequal: No Solution
Moving to Node #0,0,4
Current State: 50:[58, 86], Operations: ['70-12=58', '48+38=86']
Exploring Operation: 58+86=144, Resulting Numbers: [144]
144,50 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 58*86=4988, Resulting Numbers: [4988]
4988,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[48, 96], Operations: ['70-12=58', '38+58=96']
Exploring Operation: 48+96=144, Resulting Numbers: [144]
144,50 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 48*96=4608, Resulting Numbers: [4608]
4608,50 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 #0,1
Current State: 50:[70, 48, 50], Operations: ['12+38=50']
Exploring Operation: 70-50=20, Resulting Numbers: [48, 20]
Generated Node #0,1,0: 50:[48, 20] Operation: 70-50=20
Exploring Operation: 50-48=2, Resulting Numbers: [70, 2]
Generated Node #0,1,1: 50:[70, 2] Operation: 50-48=2
Exploring Operation: 70-48=22, Resulting Numbers: [50, 22]
Generated Node #0,1,2: 50:[50, 22] Operation: 70-48=22
Exploring Operation: 70+48=118, Resulting Numbers: [50, 118]
Generated Node #0,1,3: 50:[50, 118] Operation: 70+48=118
Exploring Operation: 48+50=98, Resulting Numbers: [70, 98]
Generated Node #0,1,4: 50:[70, 98] Operation: 48+50=98
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 50:[50, 22], Operations: ['12+38=50', '70-48=22']
Exploring Operation: 50*22=1100, Resulting Numbers: [1100]
1100,50 unequal: No Solution
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,50 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 #0,1,0
Current State: 50:[48, 20], Operations: ['12+38=50', '70-50=20']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,50 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,50 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:[70, 2], Operations: ['12+38=50', '50-48=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,50 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,50 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:[50, 118], Operations: ['12+38=50', '70+48=118']
Exploring Operation: 50+118=168, Resulting Numbers: [168]
168,50 unequal: No Solution
Exploring Operation: 118-50=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 50*118=5900, Resulting Numbers: [5900]
5900,50 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:[70, 98], Operations: ['12+38=50', '48+50=98']
Exploring Operation: 98-70=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 70+98=168, Resulting Numbers: [168]
168,50 unequal: No Solution
Exploring Operation: 70*98=6860, Resulting Numbers: [6860]
6860,50 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 #0,3
Current State: 50:[70, 12, 10], Operations: ['48-38=10']
Exploring Operation: 12+10=22, Resulting Numbers: [70, 22]
Generated Node #0,3,0: 50:[70, 22] Operation: 12+10=22
Exploring Operation: 70-10=60, Resulting Numbers: [12, 60]
Generated Node #0,3,1: 50:[12, 60] Operation: 70-10=60
Exploring Operation: 70-12=58, Resulting Numbers: [10, 58]
Generated Node #0,3,2: 50:[10, 58] Operation: 70-12=58
Exploring Operation: 12-10=2, Resulting Numbers: [70, 2]
Generated Node #0,3,3: 50:[70, 2] Operation: 12-10=2
Exploring Operation: 70/10=7, Resulting Numbers: [12, 7]
Generated Node #0,3,4: 50:[12, 7] Operation: 70/10=7
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 50:[12, 7], Operations: ['48-38=10', '70/10=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,50 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:[10, 58], Operations: ['48-38=10', '70-12=58']
Exploring Operation: 10*58=580, Resulting Numbers: [580]
580,50 unequal: No Solution
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,50 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:[12, 60], Operations: ['48-38=10', '70-10=60']
Exploring Operation: 12+60=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 12*60=720, Resulting Numbers: [720]
720,50 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:[70, 2], Operations: ['48-38=10', '12-10=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,50 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 #0,3,0
Current State: 50:[70, 22], Operations: ['48-38=10', '12+10=22']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 70*22=1540, Resulting Numbers: [1540]
1540,50 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
No solution found.
| 0 | hs_5 | mult_heuristic |
[
95,
9,
94,
8
] | 80 | [
"95+9=104",
"104-94=10",
"8*10=80"
] | Current State: 80:[95, 9, 94, 8], Operations: []
Exploring Operation: 95+9=104, Resulting Numbers: [94, 8, 104]
Generated Node #2: [94, 8, 104] from Operation: 95+9=104
Current State: 80:[94, 8, 104], Operations: ['95+9=104']
Exploring Operation: 104-94=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 104-94=10
Current State: 80:[8, 10], Operations: ['95+9=104', '104-94=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[95, 9, 94, 8], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [9, 8, 1]
Generated Node #0,0: 80:[9, 8, 1] Operation: 95-94=1
Exploring Operation: 95-9=86, Resulting Numbers: [94, 8, 86]
Generated Node #0,1: 80:[94, 8, 86] Operation: 95-9=86
Moving to Node #0,0
Current State: 80:[9, 8, 1], Operations: ['95-94=1']
Exploring Operation: 9+1=10, Resulting Numbers: [8, 10]
Generated Node #0,0,0: 80:[8, 10] Operation: 9+1=10
Exploring Operation: 9-1=8, Resulting Numbers: [8, 8]
Generated Node #0,0,1: 80:[8, 8] Operation: 9-1=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[8, 10], Operations: ['95-94=1', '9+1=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[95, 9, 94, 8], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [9, 8, 1]
Generated Node #0,0: 80:[9, 8, 1] Operation: 95-94=1
Moving to Node #0,0
Current State: 80:[9, 8, 1], Operations: ['95-94=1']
Exploring Operation: 9+1=10, Resulting Numbers: [8, 10]
Generated Node #0,0,0: 80:[8, 10] Operation: 9+1=10
Moving to Node #0,0,0
Current State: 80:[8, 10], Operations: ['95-94=1', '9+1=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
60,
82,
52,
36
] | 72 | [
"60*36=2160",
"82-52=30",
"2160/30=72"
] | Current State: 72:[60, 82, 52, 36], Operations: []
Exploring Operation: 60*36=2160, Resulting Numbers: [82, 52, 2160]
Generated Node #2: [82, 52, 2160] from Operation: 60*36=2160
Current State: 72:[82, 52, 2160], Operations: ['60*36=2160']
Exploring Operation: 82-52=30, Resulting Numbers: [2160, 30]
Generated Node #3: [2160, 30] from Operation: 82-52=30
Current State: 72:[2160, 30], Operations: ['60*36=2160', '82-52=30']
Exploring Operation: 2160/30=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[60, 82, 52, 36], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [82, 36, 8]
Generated Node #0,0: 72:[82, 36, 8] Operation: 60-52=8
Exploring Operation: 82-52=30, Resulting Numbers: [60, 36, 30]
Generated Node #0,1: 72:[60, 36, 30] Operation: 82-52=30
Exploring Operation: 82-60=22, Resulting Numbers: [52, 36, 22]
Generated Node #0,2: 72:[52, 36, 22] Operation: 82-60=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[82, 36, 8], Operations: ['60-52=8']
Exploring Operation: 82-8=74, Resulting Numbers: [36, 74]
Generated Node #0,0,0: 72:[36, 74] Operation: 82-8=74
Exploring Operation: 36-8=28, Resulting Numbers: [82, 28]
Generated Node #0,0,1: 72:[82, 28] Operation: 36-8=28
Exploring Operation: 82-36=46, Resulting Numbers: [8, 46]
Generated Node #0,0,2: 72:[8, 46] Operation: 82-36=46
Moving to Node #0,0,0
Current State: 72:[36, 74], Operations: ['60-52=8', '82-8=74']
Exploring Operation: 36+74=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 36*74=2664, Resulting Numbers: [2664]
2664,72 unequal: No Solution
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[8, 46], Operations: ['60-52=8', '82-36=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,72 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,72 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[82, 28], Operations: ['60-52=8', '36-8=28']
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,72 unequal: No Solution
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[60, 36, 30], Operations: ['82-52=30']
Exploring Operation: 60-36=24, Resulting Numbers: [30, 24]
Generated Node #0,1,0: 72:[30, 24] Operation: 60-36=24
Exploring Operation: 60-30=30, Resulting Numbers: [36, 30]
Generated Node #0,1,1: 72:[36, 30] Operation: 60-30=30
Exploring Operation: 60/30=2, Resulting Numbers: [36, 2]
Generated Node #0,1,2: 72:[36, 2] Operation: 60/30=2
Moving to Node #0,1,2
Current State: 72:[36, 2], Operations: ['82-52=30', '60/30=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[60, 82, 52, 36], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [60, 36, 30]
Generated Node #0,1: 72:[60, 36, 30] Operation: 82-52=30
Moving to Node #0,1
Current State: 72:[60, 36, 30], Operations: ['82-52=30']
Exploring Operation: 60/30=2, Resulting Numbers: [36, 2]
Generated Node #0,1,2: 72:[36, 2] Operation: 60/30=2
Moving to Node #0,1,2
Current State: 72:[36, 2], Operations: ['82-52=30', '60/30=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
59,
3,
47,
74
] | 78 | [
"59-47=12",
"12/3=4",
"74+4=78"
] | Current State: 78:[59, 3, 47, 74], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [3, 74, 12]
Generated Node #2: [3, 74, 12] from Operation: 59-47=12
Current State: 78:[3, 74, 12], Operations: ['59-47=12']
Exploring Operation: 12/3=4, Resulting Numbers: [74, 4]
Generated Node #3: [74, 4] from Operation: 12/3=4
Current State: 78:[74, 4], Operations: ['59-47=12', '12/3=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[59, 3, 47, 74], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [3, 74, 12]
Generated Node #0,0: 78:[3, 74, 12] Operation: 59-47=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[3, 74, 12], Operations: ['59-47=12']
Exploring Operation: 3+74=77, Resulting Numbers: [12, 77]
Generated Node #0,0,0: 78:[12, 77] Operation: 3+74=77
Moving to Node #0,0,0
Current State: 78:[12, 77], Operations: ['59-47=12', '3+74=77']
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,78 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 |
[
4,
39,
41,
2
] | 22 | [
"39+41=80",
"80/4=20",
"2+20=22"
] | Current State: 22:[4, 39, 41, 2], Operations: []
Exploring Operation: 39+41=80, Resulting Numbers: [4, 2, 80]
Generated Node #2: [4, 2, 80] from Operation: 39+41=80
Current State: 22:[4, 2, 80], Operations: ['39+41=80']
Exploring Operation: 80/4=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 80/4=20
Current State: 22:[2, 20], Operations: ['39+41=80', '80/4=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[4, 39, 41, 2], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [4, 2, 2]
Generated Node #0,0: 22:[4, 2, 2] Operation: 41-39=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[4, 2, 2], Operations: ['41-39=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 22:[2, 2] Operation: 4-2=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[2, 2], Operations: ['41-39=2', '4-2=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
88,
5,
6,
48
] | 48 | [
"88-48=40",
"40/5=8",
"6*8=48"
] | Current State: 48:[88, 5, 6, 48], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [5, 6, 40]
Generated Node #2: [5, 6, 40] from Operation: 88-48=40
Current State: 48:[5, 6, 40], Operations: ['88-48=40']
Exploring Operation: 40/5=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 40/5=8
Current State: 48:[6, 8], Operations: ['88-48=40', '40/5=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[88, 5, 6, 48], Operations: []
Exploring Operation: 88-5=83, Resulting Numbers: [6, 48, 83]
Generated Node #0,0: 48:[6, 48, 83] Operation: 88-5=83
Exploring Operation: 88-48=40, Resulting Numbers: [5, 6, 40]
Generated Node #0,1: 48:[5, 6, 40] Operation: 88-48=40
Exploring Operation: 88-6=82, Resulting Numbers: [5, 48, 82]
Generated Node #0,2: 48:[5, 48, 82] Operation: 88-6=82
Moving to Node #0,1
Current State: 48:[5, 6, 40], Operations: ['88-48=40']
Exploring Operation: 6+40=46, Resulting Numbers: [5, 46]
Generated Node #0,1,0: 48:[5, 46] Operation: 6+40=46
Exploring Operation: 5+40=45, Resulting Numbers: [6, 45]
Generated Node #0,1,1: 48:[6, 45] Operation: 5+40=45
Exploring Operation: 40/5=8, Resulting Numbers: [6, 8]
Generated Node #0,1,2: 48:[6, 8] Operation: 40/5=8
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[6, 8], Operations: ['88-48=40', '40/5=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[88, 5, 6, 48], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [5, 6, 40]
Generated Node #0,1: 48:[5, 6, 40] Operation: 88-48=40
Moving to Node #0,1
Current State: 48:[5, 6, 40], Operations: ['88-48=40']
Exploring Operation: 40/5=8, Resulting Numbers: [6, 8]
Generated Node #0,1,2: 48:[6, 8] Operation: 40/5=8
Moving to Node #0,1,2
Current State: 48:[6, 8], Operations: ['88-48=40', '40/5=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
2,
85,
39,
8
] | 40 | [
"2+85=87",
"39+8=47",
"87-47=40"
] | Current State: 40:[2, 85, 39, 8], Operations: []
Exploring Operation: 2+85=87, Resulting Numbers: [39, 8, 87]
Generated Node #2: [39, 8, 87] from Operation: 2+85=87
Current State: 40:[39, 8, 87], Operations: ['2+85=87']
Exploring Operation: 39+8=47, Resulting Numbers: [87, 47]
Generated Node #3: [87, 47] from Operation: 39+8=47
Current State: 40:[87, 47], Operations: ['2+85=87', '39+8=47']
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[2, 85, 39, 8], Operations: []
Exploring Operation: 85-39=46, Resulting Numbers: [2, 8, 46]
Generated Node #0,0: 40:[2, 8, 46] Operation: 85-39=46
Exploring Operation: 85-8=77, Resulting Numbers: [2, 39, 77]
Generated Node #0,1: 40:[2, 39, 77] Operation: 85-8=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[2, 8, 46], Operations: ['85-39=46']
Exploring Operation: 46-8=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 40:[2, 38] Operation: 46-8=38
Exploring Operation: 46/2=23, Resulting Numbers: [8, 23]
Generated Node #0,0,1: 40:[8, 23] Operation: 46/2=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[2, 38], Operations: ['85-39=46', '46-8=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[2, 85, 39, 8], Operations: []
Exploring Operation: 85-39=46, Resulting Numbers: [2, 8, 46]
Generated Node #0,0: 40:[2, 8, 46] Operation: 85-39=46
Moving to Node #0,0
Current State: 40:[2, 8, 46], Operations: ['85-39=46']
Exploring Operation: 46-8=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 40:[2, 38] Operation: 46-8=38
Moving to Node #0,0,0
Current State: 40:[2, 38], Operations: ['85-39=46', '46-8=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
66,
31,
9,
46
] | 99 | [
"66-31=35",
"46-35=11",
"9*11=99"
] | Current State: 99:[66, 31, 9, 46], Operations: []
Exploring Operation: 66-31=35, Resulting Numbers: [9, 46, 35]
Generated Node #2: [9, 46, 35] from Operation: 66-31=35
Current State: 99:[9, 46, 35], Operations: ['66-31=35']
Exploring Operation: 46-35=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 46-35=11
Current State: 99:[9, 11], Operations: ['66-31=35', '46-35=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[66, 31, 9, 46], Operations: []
Exploring Operation: 66+31=97, Resulting Numbers: [9, 46, 97]
Generated Node #0,0: 99:[9, 46, 97] Operation: 66+31=97
Exploring Operation: 46-31=15, Resulting Numbers: [66, 9, 15]
Generated Node #0,1: 99:[66, 9, 15] Operation: 46-31=15
Exploring Operation: 66-46=20, Resulting Numbers: [31, 9, 20]
Generated Node #0,2: 99:[31, 9, 20] Operation: 66-46=20
Exploring Operation: 66-31=35, Resulting Numbers: [9, 46, 35]
Generated Node #0,3: 99:[9, 46, 35] Operation: 66-31=35
Exploring Operation: 66+46=112, Resulting Numbers: [31, 9, 112]
Generated Node #0,4: 99:[31, 9, 112] Operation: 66+46=112
Moving to Node #0,2
Current State: 99:[31, 9, 20], Operations: ['66-46=20']
Exploring Operation: 31-20=11, Resulting Numbers: [9, 11]
Generated Node #0,2,0: 99:[9, 11] Operation: 31-20=11
Exploring Operation: 9+20=29, Resulting Numbers: [31, 29]
Generated Node #0,2,1: 99:[31, 29] Operation: 9+20=29
Exploring Operation: 20-9=11, Resulting Numbers: [31, 11]
Generated Node #0,2,2: 99:[31, 11] Operation: 20-9=11
Exploring Operation: 31+9=40, Resulting Numbers: [20, 40]
Generated Node #0,2,3: 99:[20, 40] Operation: 31+9=40
Exploring Operation: 31+20=51, Resulting Numbers: [9, 51]
Generated Node #0,2,4: 99:[9, 51] Operation: 31+20=51
Moving to Node #0,3
Current State: 99:[9, 46, 35], Operations: ['66-31=35']
Exploring Operation: 46-9=37, Resulting Numbers: [35, 37]
Generated Node #0,3,0: 99:[35, 37] Operation: 46-9=37
Exploring Operation: 46-35=11, Resulting Numbers: [9, 11]
Generated Node #0,3,1: 99:[9, 11] Operation: 46-35=11
Exploring Operation: 46+35=81, Resulting Numbers: [9, 81]
Generated Node #0,3,2: 99:[9, 81] Operation: 46+35=81
Exploring Operation: 35-9=26, Resulting Numbers: [46, 26]
Generated Node #0,3,3: 99:[46, 26] Operation: 35-9=26
Exploring Operation: 9+46=55, Resulting Numbers: [35, 55]
Generated Node #0,3,4: 99:[35, 55] Operation: 9+46=55
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[9, 11], Operations: ['66-31=35', '46-35=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[66, 31, 9, 46], Operations: []
Exploring Operation: 66-31=35, Resulting Numbers: [9, 46, 35]
Generated Node #0,3: 99:[9, 46, 35] Operation: 66-31=35
Moving to Node #0,3
Current State: 99:[9, 46, 35], Operations: ['66-31=35']
Exploring Operation: 46-35=11, Resulting Numbers: [9, 11]
Generated Node #0,3,1: 99:[9, 11] Operation: 46-35=11
Moving to Node #0,3,1
Current State: 99:[9, 11], Operations: ['66-31=35', '46-35=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
29,
77,
41,
59
] | 27 | [
"77+41=118",
"118/59=2",
"29-2=27"
] | Current State: 27:[29, 77, 41, 59], Operations: []
Exploring Operation: 77+41=118, Resulting Numbers: [29, 59, 118]
Generated Node #2: [29, 59, 118] from Operation: 77+41=118
Current State: 27:[29, 59, 118], Operations: ['77+41=118']
Exploring Operation: 118/59=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 118/59=2
Current State: 27:[29, 2], Operations: ['77+41=118', '118/59=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[29, 77, 41, 59], Operations: []
Exploring Operation: 77-29=48, Resulting Numbers: [41, 59, 48]
Generated Node #0,0: 27:[41, 59, 48] Operation: 77-29=48
Exploring Operation: 59-41=18, Resulting Numbers: [29, 77, 18]
Generated Node #0,1: 27:[29, 77, 18] Operation: 59-41=18
Exploring Operation: 77-41=36, Resulting Numbers: [29, 59, 36]
Generated Node #0,2: 27:[29, 59, 36] Operation: 77-41=36
Exploring Operation: 77-59=18, Resulting Numbers: [29, 41, 18]
Generated Node #0,3: 27:[29, 41, 18] Operation: 77-59=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[29, 41, 18], Operations: ['77-59=18']
Exploring Operation: 29-18=11, Resulting Numbers: [41, 11]
Generated Node #0,3,0: 27:[41, 11] Operation: 29-18=11
Exploring Operation: 41-29=12, Resulting Numbers: [18, 12]
Generated Node #0,3,1: 27:[18, 12] Operation: 41-29=12
Exploring Operation: 29+18=47, Resulting Numbers: [41, 47]
Generated Node #0,3,2: 27:[41, 47] Operation: 29+18=47
Exploring Operation: 41-18=23, Resulting Numbers: [29, 23]
Generated Node #0,3,3: 27:[29, 23] Operation: 41-18=23
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 27:[29, 23], Operations: ['77-59=18', '41-18=23']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,27 unequal: No Solution
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 27:[18, 12], Operations: ['77-59=18', '41-29=12']
Exploring Operation: 18*12=216, Resulting Numbers: [216]
216,27 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 27:[41, 11], Operations: ['77-59=18', '29-18=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 27:[41, 47], Operations: ['77-59=18', '29+18=47']
Exploring Operation: 41+47=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 41*47=1927, Resulting Numbers: [1927]
1927,27 unequal: No Solution
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[29, 59, 36], Operations: ['77-41=36']
Exploring Operation: 36-29=7, Resulting Numbers: [59, 7]
Generated Node #0,2,0: 27:[59, 7] Operation: 36-29=7
Exploring Operation: 59-29=30, Resulting Numbers: [36, 30]
Generated Node #0,2,1: 27:[36, 30] Operation: 59-29=30
Exploring Operation: 59-36=23, Resulting Numbers: [29, 23]
Generated Node #0,2,2: 27:[29, 23] Operation: 59-36=23
Exploring Operation: 29+59=88, Resulting Numbers: [36, 88]
Generated Node #0,2,3: 27:[36, 88] Operation: 29+59=88
Moving to Node #0,2,2
Current State: 27:[29, 23], Operations: ['77-41=36', '59-36=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,27 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[36, 30], Operations: ['77-41=36', '59-29=30']
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 36*30=1080, Resulting Numbers: [1080]
1080,27 unequal: No Solution
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[59, 7], Operations: ['77-41=36', '36-29=7']
Exploring Operation: 59*7=413, Resulting Numbers: [413]
413,27 unequal: No Solution
Exploring Operation: 59+7=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[36, 88], Operations: ['77-41=36', '29+59=88']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,27 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[29, 77, 18], Operations: ['59-41=18']
Exploring Operation: 29-18=11, Resulting Numbers: [77, 11]
Generated Node #0,1,0: 27:[77, 11] Operation: 29-18=11
Exploring Operation: 29+18=47, Resulting Numbers: [77, 47]
Generated Node #0,1,1: 27:[77, 47] Operation: 29+18=47
Exploring Operation: 77-29=48, Resulting Numbers: [18, 48]
Generated Node #0,1,2: 27:[18, 48] Operation: 77-29=48
Exploring Operation: 77-18=59, Resulting Numbers: [29, 59]
Generated Node #0,1,3: 27:[29, 59] Operation: 77-18=59
Moving to Node #0,1,2
Current State: 27:[18, 48], Operations: ['59-41=18', '77-29=48']
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,27 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[29, 59], Operations: ['59-41=18', '77-18=59']
Exploring Operation: 29*59=1711, Resulting Numbers: [1711]
1711,27 unequal: No Solution
Exploring Operation: 29+59=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[77, 11], Operations: ['59-41=18', '29-18=11']
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 77*11=847, Resulting Numbers: [847]
847,27 unequal: No Solution
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,27 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[77, 47], Operations: ['59-41=18', '29+18=47']
Exploring Operation: 77+47=124, Resulting Numbers: [124]
124,27 unequal: No Solution
Exploring Operation: 77*47=3619, Resulting Numbers: [3619]
3619,27 unequal: No Solution
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[41, 59, 48], Operations: ['77-29=48']
Exploring Operation: 41+59=100, Resulting Numbers: [48, 100]
Generated Node #0,0,0: 27:[48, 100] Operation: 41+59=100
Exploring Operation: 48-41=7, Resulting Numbers: [59, 7]
Generated Node #0,0,1: 27:[59, 7] Operation: 48-41=7
Exploring Operation: 59-41=18, Resulting Numbers: [48, 18]
Generated Node #0,0,2: 27:[48, 18] Operation: 59-41=18
Exploring Operation: 59-48=11, Resulting Numbers: [41, 11]
Generated Node #0,0,3: 27:[41, 11] Operation: 59-48=11
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 27:[41, 11], Operations: ['77-29=48', '59-48=11']
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,27 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 27:[48, 18], Operations: ['77-29=48', '59-41=18']
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,27 unequal: No Solution
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 27:[59, 7], Operations: ['77-29=48', '48-41=7']
Exploring Operation: 59*7=413, Resulting Numbers: [413]
413,27 unequal: No Solution
Exploring Operation: 59+7=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[48, 100], Operations: ['77-29=48', '41+59=100']
Exploring Operation: 48+100=148, Resulting Numbers: [148]
148,27 unequal: No Solution
Exploring Operation: 100-48=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 48*100=4800, Resulting Numbers: [4800]
4800,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
15,
7,
3,
88
] | 76 | [
"15/3=5",
"88-7=81",
"81-5=76"
] | Current State: 76:[15, 7, 3, 88], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [7, 88, 5]
Generated Node #2: [7, 88, 5] from Operation: 15/3=5
Current State: 76:[7, 88, 5], Operations: ['15/3=5']
Exploring Operation: 88-7=81, Resulting Numbers: [5, 81]
Generated Node #3: [5, 81] from Operation: 88-7=81
Current State: 76:[5, 81], Operations: ['15/3=5', '88-7=81']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[15, 7, 3, 88], Operations: []
Exploring Operation: 88-15=73, Resulting Numbers: [7, 3, 73]
Generated Node #0,0: 76:[7, 3, 73] Operation: 88-15=73
Exploring Operation: 15+7=22, Resulting Numbers: [3, 88, 22]
Generated Node #0,1: 76:[3, 88, 22] Operation: 15+7=22
Exploring Operation: 15+3=18, Resulting Numbers: [7, 88, 18]
Generated Node #0,2: 76:[7, 88, 18] Operation: 15+3=18
Exploring Operation: 88-7=81, Resulting Numbers: [15, 3, 81]
Generated Node #0,3: 76:[15, 3, 81] Operation: 88-7=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[7, 3, 73], Operations: ['88-15=73']
Exploring Operation: 7-3=4, Resulting Numbers: [73, 4]
Generated Node #0,0,0: 76:[73, 4] Operation: 7-3=4
Exploring Operation: 7+73=80, Resulting Numbers: [3, 80]
Generated Node #0,0,1: 76:[3, 80] Operation: 7+73=80
Exploring Operation: 3+73=76, Resulting Numbers: [7, 76]
Generated Node #0,0,2: 76:[7, 76] Operation: 3+73=76
Exploring Operation: 7*3=21, Resulting Numbers: [73, 21]
Generated Node #0,0,3: 76:[73, 21] Operation: 7*3=21
Moving to Node #0,0,0
Current State: 76:[73, 4], Operations: ['88-15=73', '7-3=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 73*4=292, Resulting Numbers: [292]
292,76 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[7, 76], Operations: ['88-15=73', '3+73=76']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 7*76=532, Resulting Numbers: [532]
532,76 unequal: No Solution
Exploring Operation: 7+76=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[73, 21], Operations: ['88-15=73', '7*3=21']
Exploring Operation: 73*21=1533, Resulting Numbers: [1533]
1533,76 unequal: No Solution
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[3, 80], Operations: ['88-15=73', '7+73=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,76 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[15, 3, 81], Operations: ['88-7=81']
Exploring Operation: 15+3=18, Resulting Numbers: [81, 18]
Generated Node #0,3,0: 76:[81, 18] Operation: 15+3=18
Exploring Operation: 15/3=5, Resulting Numbers: [81, 5]
Generated Node #0,3,1: 76:[81, 5] Operation: 15/3=5
Exploring Operation: 81-15=66, Resulting Numbers: [3, 66]
Generated Node #0,3,2: 76:[3, 66] Operation: 81-15=66
Exploring Operation: 81-3=78, Resulting Numbers: [15, 78]
Generated Node #0,3,3: 76:[15, 78] Operation: 81-3=78
Moving to Node #0,3,0
Current State: 76:[81, 18], Operations: ['88-7=81', '15+3=18']
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 81+18=99, Resulting Numbers: [99]
99,76 unequal: No Solution
Exploring Operation: 81*18=1458, Resulting Numbers: [1458]
1458,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[15, 78], Operations: ['88-7=81', '81-3=78']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 15*78=1170, Resulting Numbers: [1170]
1170,76 unequal: No Solution
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[81, 5], Operations: ['88-7=81', '15/3=5']
Exploring Operation: 81*5=405, Resulting Numbers: [405]
405,76 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[15, 7, 3, 88], Operations: []
Exploring Operation: 88-7=81, Resulting Numbers: [15, 3, 81]
Generated Node #0,3: 76:[15, 3, 81] Operation: 88-7=81
Moving to Node #0,3
Current State: 76:[15, 3, 81], Operations: ['88-7=81']
Exploring Operation: 15/3=5, Resulting Numbers: [81, 5]
Generated Node #0,3,1: 76:[81, 5] Operation: 15/3=5
Moving to Node #0,3,1
Current State: 76:[81, 5], Operations: ['88-7=81', '15/3=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
23,
92,
8,
94
] | 90 | [
"92/23=4",
"94-8=86",
"4+86=90"
] | Current State: 90:[23, 92, 8, 94], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [8, 94, 4]
Generated Node #2: [8, 94, 4] from Operation: 92/23=4
Current State: 90:[8, 94, 4], Operations: ['92/23=4']
Exploring Operation: 94-8=86, Resulting Numbers: [4, 86]
Generated Node #3: [4, 86] from Operation: 94-8=86
Current State: 90:[4, 86], Operations: ['92/23=4', '94-8=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[23, 92, 8, 94], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [92, 94, 15]
Generated Node #0,0: 90:[92, 94, 15] Operation: 23-8=15
Exploring Operation: 92/23=4, Resulting Numbers: [8, 94, 4]
Generated Node #0,1: 90:[8, 94, 4] Operation: 92/23=4
Moving to Node #0,0
Current State: 90:[92, 94, 15], Operations: ['23-8=15']
Exploring Operation: 94-15=79, Resulting Numbers: [92, 79]
Generated Node #0,0,0: 90:[92, 79] Operation: 94-15=79
Exploring Operation: 94-92=2, Resulting Numbers: [15, 2]
Generated Node #0,0,1: 90:[15, 2] Operation: 94-92=2
Moving to Node #0,1
Current State: 90:[8, 94, 4], Operations: ['92/23=4']
Exploring Operation: 94-4=90, Resulting Numbers: [8, 90]
Generated Node #0,1,0: 90:[8, 90] Operation: 94-4=90
Exploring Operation: 8/4=2, Resulting Numbers: [94, 2]
Generated Node #0,1,1: 90:[94, 2] Operation: 8/4=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[8, 90], Operations: ['92/23=4', '94-4=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,90 unequal: No Solution
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[94, 2], Operations: ['92/23=4', '8/4=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,90 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: 90:[15, 2], Operations: ['23-8=15', '94-92=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[92, 79], Operations: ['23-8=15', '94-15=79']
Exploring Operation: 92+79=171, Resulting Numbers: [171]
171,90 unequal: No Solution
Exploring Operation: 92-79=13, Resulting Numbers: [13]
13,90 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
28,
42,
3,
55
] | 95 | [
"28+42=70",
"3*55=165",
"165-70=95"
] | Current State: 95:[28, 42, 3, 55], Operations: []
Exploring Operation: 28+42=70, Resulting Numbers: [3, 55, 70]
Generated Node #2: [3, 55, 70] from Operation: 28+42=70
Current State: 95:[3, 55, 70], Operations: ['28+42=70']
Exploring Operation: 3*55=165, Resulting Numbers: [70, 165]
Generated Node #3: [70, 165] from Operation: 3*55=165
Current State: 95:[70, 165], Operations: ['28+42=70', '3*55=165']
Exploring Operation: 165-70=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[28, 42, 3, 55], Operations: []
Exploring Operation: 42+55=97, Resulting Numbers: [28, 3, 97]
Generated Node #0,0: 95:[28, 3, 97] Operation: 42+55=97
Exploring Operation: 55-28=27, Resulting Numbers: [42, 3, 27]
Generated Node #0,1: 95:[42, 3, 27] Operation: 55-28=27
Exploring Operation: 55-42=13, Resulting Numbers: [28, 3, 13]
Generated Node #0,2: 95:[28, 3, 13] Operation: 55-42=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[28, 3, 97], Operations: ['42+55=97']
Exploring Operation: 28*3=84, Resulting Numbers: [97, 84]
Generated Node #0,0,0: 95:[97, 84] Operation: 28*3=84
Exploring Operation: 97-3=94, Resulting Numbers: [28, 94]
Generated Node #0,0,1: 95:[28, 94] Operation: 97-3=94
Exploring Operation: 28-3=25, Resulting Numbers: [97, 25]
Generated Node #0,0,2: 95:[97, 25] Operation: 28-3=25
Moving to Node #0,0,2
Current State: 95:[97, 25], Operations: ['42+55=97', '28-3=25']
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 97+25=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 97*25=2425, Resulting Numbers: [2425]
2425,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[28, 94], Operations: ['42+55=97', '97-3=94']
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,95 unequal: No Solution
Exploring Operation: 28+94=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 28*94=2632, Resulting Numbers: [2632]
2632,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[97, 84], Operations: ['42+55=97', '28*3=84']
Exploring Operation: 97+84=181, Resulting Numbers: [181]
181,95 unequal: No Solution
Exploring Operation: 97-84=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 97*84=8148, Resulting Numbers: [8148]
8148,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[28, 3, 13], Operations: ['55-42=13']
Exploring Operation: 28-3=25, Resulting Numbers: [13, 25]
Generated Node #0,2,0: 95:[13, 25] Operation: 28-3=25
Exploring Operation: 3+13=16, Resulting Numbers: [28, 16]
Generated Node #0,2,1: 95:[28, 16] Operation: 3+13=16
Exploring Operation: 28-13=15, Resulting Numbers: [3, 15]
Generated Node #0,2,2: 95:[3, 15] Operation: 28-13=15
Moving to Node #0,2,2
Current State: 95:[3, 15], Operations: ['55-42=13', '28-13=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,95 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[13, 25], Operations: ['55-42=13', '28-3=25']
Exploring Operation: 13*25=325, Resulting Numbers: [325]
325,95 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[28, 16], Operations: ['55-42=13', '3+13=16']
Exploring Operation: 28*16=448, Resulting Numbers: [448]
448,95 unequal: No Solution
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,95 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[42, 3, 27], Operations: ['55-28=27']
Exploring Operation: 42-27=15, Resulting Numbers: [3, 15]
Generated Node #0,1,0: 95:[3, 15] Operation: 42-27=15
Exploring Operation: 42/3=14, Resulting Numbers: [27, 14]
Generated Node #0,1,1: 95:[27, 14] Operation: 42/3=14
Exploring Operation: 27/3=9, Resulting Numbers: [42, 9]
Generated Node #0,1,2: 95:[42, 9] Operation: 27/3=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[3, 15], Operations: ['55-28=27', '42-27=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,95 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,95 unequal: No Solution
No 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: 95:[27, 14], Operations: ['55-28=27', '42/3=14']
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,95 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,95 unequal: No Solution
No 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: 95:[42, 9], Operations: ['55-28=27', '27/3=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,95 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 |
[
88,
17,
4,
8
] | 61 | [
"88*4=352",
"352/8=44",
"17+44=61"
] | Current State: 61:[88, 17, 4, 8], Operations: []
Exploring Operation: 88*4=352, Resulting Numbers: [17, 8, 352]
Generated Node #2: [17, 8, 352] from Operation: 88*4=352
Current State: 61:[17, 8, 352], Operations: ['88*4=352']
Exploring Operation: 352/8=44, Resulting Numbers: [17, 44]
Generated Node #3: [17, 44] from Operation: 352/8=44
Current State: 61:[17, 44], Operations: ['88*4=352', '352/8=44']
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[88, 17, 4, 8], Operations: []
Exploring Operation: 88-8=80, Resulting Numbers: [17, 4, 80]
Generated Node #0,0: 61:[17, 4, 80] Operation: 88-8=80
Exploring Operation: 88-17=71, Resulting Numbers: [4, 8, 71]
Generated Node #0,1: 61:[4, 8, 71] Operation: 88-17=71
Exploring Operation: 17*4=68, Resulting Numbers: [88, 8, 68]
Generated Node #0,2: 61:[88, 8, 68] Operation: 17*4=68
Exploring Operation: 88-4=84, Resulting Numbers: [17, 8, 84]
Generated Node #0,3: 61:[17, 8, 84] Operation: 88-4=84
Exploring Operation: 4*8=32, Resulting Numbers: [88, 17, 32]
Generated Node #0,4: 61:[88, 17, 32] Operation: 4*8=32
Moving to Node #0,2
Current State: 61:[88, 8, 68], Operations: ['17*4=68']
Exploring Operation: 88/8=11, Resulting Numbers: [68, 11]
Generated Node #0,2,0: 61:[68, 11] Operation: 88/8=11
Exploring Operation: 8+68=76, Resulting Numbers: [88, 76]
Generated Node #0,2,1: 61:[88, 76] Operation: 8+68=76
Exploring Operation: 68-8=60, Resulting Numbers: [88, 60]
Generated Node #0,2,2: 61:[88, 60] Operation: 68-8=60
Exploring Operation: 88-8=80, Resulting Numbers: [68, 80]
Generated Node #0,2,3: 61:[68, 80] Operation: 88-8=80
Exploring Operation: 88+8=96, Resulting Numbers: [68, 96]
Generated Node #0,2,4: 61:[68, 96] Operation: 88+8=96
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[68, 80], Operations: ['17*4=68', '88-8=80']
Exploring Operation: 68*80=5440, Resulting Numbers: [5440]
5440,61 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 68+80=148, Resulting Numbers: [148]
148,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[88, 60], Operations: ['17*4=68', '68-8=60']
Exploring Operation: 88+60=148, Resulting Numbers: [148]
148,61 unequal: No Solution
Exploring Operation: 88*60=5280, Resulting Numbers: [5280]
5280,61 unequal: No Solution
Exploring Operation: 88-60=28, Resulting Numbers: [28]
28,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[88, 76], Operations: ['17*4=68', '8+68=76']
Exploring Operation: 88+76=164, Resulting Numbers: [164]
164,61 unequal: No Solution
Exploring Operation: 88*76=6688, Resulting Numbers: [6688]
6688,61 unequal: No Solution
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 61:[68, 96], Operations: ['17*4=68', '88+8=96']
Exploring Operation: 68+96=164, Resulting Numbers: [164]
164,61 unequal: No Solution
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 68*96=6528, Resulting Numbers: [6528]
6528,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[68, 11], Operations: ['17*4=68', '88/8=11']
Exploring Operation: 68*11=748, Resulting Numbers: [748]
748,61 unequal: No Solution
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,61 unequal: No Solution
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,61 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: 61:[88, 17, 32], Operations: ['4*8=32']
Exploring Operation: 88-32=56, Resulting Numbers: [17, 56]
Generated Node #0,4,0: 61:[17, 56] Operation: 88-32=56
Exploring Operation: 88-17=71, Resulting Numbers: [32, 71]
Generated Node #0,4,1: 61:[32, 71] Operation: 88-17=71
Exploring Operation: 32-17=15, Resulting Numbers: [88, 15]
Generated Node #0,4,2: 61:[88, 15] Operation: 32-17=15
Exploring Operation: 88+17=105, Resulting Numbers: [32, 105]
Generated Node #0,4,3: 61:[32, 105] Operation: 88+17=105
Exploring Operation: 17+32=49, Resulting Numbers: [88, 49]
Generated Node #0,4,4: 61:[88, 49] Operation: 17+32=49
Moving to Node #0,0
Current State: 61:[17, 4, 80], Operations: ['88-8=80']
Exploring Operation: 80-17=63, Resulting Numbers: [4, 63]
Generated Node #0,0,0: 61:[4, 63] Operation: 80-17=63
Exploring Operation: 17*4=68, Resulting Numbers: [80, 68]
Generated Node #0,0,1: 61:[80, 68] Operation: 17*4=68
Exploring Operation: 80-4=76, Resulting Numbers: [17, 76]
Generated Node #0,0,2: 61:[17, 76] Operation: 80-4=76
Exploring Operation: 17+4=21, Resulting Numbers: [80, 21]
Generated Node #0,0,3: 61:[80, 21] Operation: 17+4=21
Exploring Operation: 17-4=13, Resulting Numbers: [80, 13]
Generated Node #0,0,4: 61:[80, 13] Operation: 17-4=13
Moving to Node #0,1
Current State: 61:[4, 8, 71], Operations: ['88-17=71']
Exploring Operation: 8-4=4, Resulting Numbers: [71, 4]
Generated Node #0,1,0: 61:[71, 4] Operation: 8-4=4
Exploring Operation: 4+8=12, Resulting Numbers: [71, 12]
Generated Node #0,1,1: 61:[71, 12] Operation: 4+8=12
Exploring Operation: 4*8=32, Resulting Numbers: [71, 32]
Generated Node #0,1,2: 61:[71, 32] Operation: 4*8=32
Exploring Operation: 71-4=67, Resulting Numbers: [8, 67]
Generated Node #0,1,3: 61:[8, 67] Operation: 71-4=67
Exploring Operation: 71-8=63, Resulting Numbers: [4, 63]
Generated Node #0,1,4: 61:[4, 63] Operation: 71-8=63
Moving to Node #0,3
Current State: 61:[17, 8, 84], Operations: ['88-4=84']
Exploring Operation: 17-8=9, Resulting Numbers: [84, 9]
Generated Node #0,3,0: 61:[84, 9] Operation: 17-8=9
Exploring Operation: 84-17=67, Resulting Numbers: [8, 67]
Generated Node #0,3,1: 61:[8, 67] Operation: 84-17=67
Exploring Operation: 84-8=76, Resulting Numbers: [17, 76]
Generated Node #0,3,2: 61:[17, 76] Operation: 84-8=76
Exploring Operation: 17+8=25, Resulting Numbers: [84, 25]
Generated Node #0,3,3: 61:[84, 25] Operation: 17+8=25
Exploring Operation: 8+84=92, Resulting Numbers: [17, 92]
Generated Node #0,3,4: 61:[17, 92] Operation: 8+84=92
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 61:[8, 67], Operations: ['88-4=84', '84-17=67']
Exploring Operation: 8*67=536, Resulting Numbers: [536]
536,61 unequal: No Solution
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 61:[17, 76], Operations: ['88-4=84', '84-8=76']
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,61 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 61:[84, 25], Operations: ['88-4=84', '17+8=25']
Exploring Operation: 84+25=109, Resulting Numbers: [109]
109,61 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 84*25=2100, Resulting Numbers: [2100]
2100,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 61:[84, 9], Operations: ['88-4=84', '17-8=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 84*9=756, Resulting Numbers: [756]
756,61 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 61:[17, 92], Operations: ['88-4=84', '8+84=92']
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 17+92=109, Resulting Numbers: [109]
109,61 unequal: No Solution
Exploring Operation: 17*92=1564, Resulting Numbers: [1564]
1564,61 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: 61:[80, 68], Operations: ['88-8=80', '17*4=68']
Exploring Operation: 80*68=5440, Resulting Numbers: [5440]
5440,61 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,61 unequal: No Solution
Exploring Operation: 80+68=148, Resulting Numbers: [148]
148,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[32, 71], Operations: ['4*8=32', '88-17=71']
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 32+71=103, Resulting Numbers: [103]
103,61 unequal: No Solution
Exploring Operation: 32*71=2272, Resulting Numbers: [2272]
2272,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[88, 49], Operations: ['4*8=32', '17+32=49']
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,61 unequal: No Solution
Exploring Operation: 88*49=4312, Resulting Numbers: [4312]
4312,61 unequal: No Solution
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[71, 32], Operations: ['88-17=71', '4*8=32']
Exploring Operation: 71+32=103, Resulting Numbers: [103]
103,61 unequal: No Solution
Exploring Operation: 71*32=2272, Resulting Numbers: [2272]
2272,61 unequal: No Solution
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Moving to Node #0,4,0
Current State: 61:[17, 56], Operations: ['4*8=32', '88-32=56']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 17*56=952, Resulting Numbers: [952]
952,61 unequal: No Solution
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[4, 63], Operations: ['88-8=80', '80-17=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,61 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[71, 12], Operations: ['88-17=71', '4+8=12']
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,61 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[8, 67], Operations: ['88-17=71', '71-4=67']
Exploring Operation: 8*67=536, Resulting Numbers: [536]
536,61 unequal: No Solution
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[80, 21], Operations: ['88-8=80', '17+4=21']
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 80+21=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Exploring Operation: 80*21=1680, Resulting Numbers: [1680]
1680,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[4, 63], Operations: ['88-17=71', '71-8=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,61 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[17, 76], Operations: ['88-8=80', '80-4=76']
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,61 unequal: No Solution
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[71, 4], Operations: ['88-17=71', '8-4=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,61 unequal: No Solution
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[80, 13], Operations: ['88-8=80', '17-4=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,61 unequal: No Solution
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[88, 15], Operations: ['4*8=32', '32-17=15']
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,61 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,61 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[32, 105], Operations: ['4*8=32', '88+17=105']
Exploring Operation: 105-32=73, Resulting Numbers: [73]
73,61 unequal: No Solution
Exploring Operation: 32+105=137, Resulting Numbers: [137]
137,61 unequal: No Solution
Exploring Operation: 32*105=3360, Resulting Numbers: [3360]
3360,61 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
1,
26,
33
] | 12 | [
"1+26=27",
"33-27=6",
"2*6=12"
] | Current State: 12:[2, 1, 26, 33], Operations: []
Exploring Operation: 1+26=27, Resulting Numbers: [2, 33, 27]
Generated Node #2: [2, 33, 27] from Operation: 1+26=27
Current State: 12:[2, 33, 27], Operations: ['1+26=27']
Exploring Operation: 33-27=6, Resulting Numbers: [2, 6]
Generated Node #3: [2, 6] from Operation: 33-27=6
Current State: 12:[2, 6], Operations: ['1+26=27', '33-27=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[2, 1, 26, 33], Operations: []
Exploring Operation: 26-2=24, Resulting Numbers: [1, 33, 24]
Generated Node #0,0: 12:[1, 33, 24] Operation: 26-2=24
Exploring Operation: 33-2=31, Resulting Numbers: [1, 26, 31]
Generated Node #0,1: 12:[1, 26, 31] Operation: 33-2=31
Exploring Operation: 33-26=7, Resulting Numbers: [2, 1, 7]
Generated Node #0,2: 12:[2, 1, 7] Operation: 33-26=7
Exploring Operation: 26/2=13, Resulting Numbers: [1, 33, 13]
Generated Node #0,3: 12:[1, 33, 13] Operation: 26/2=13
Moving to Node #0,2
Current State: 12:[2, 1, 7], Operations: ['33-26=7']
Exploring Operation: 2+1=3, Resulting Numbers: [7, 3]
Generated Node #0,2,0: 12:[7, 3] Operation: 2+1=3
Exploring Operation: 7-1=6, Resulting Numbers: [2, 6]
Generated Node #0,2,1: 12:[2, 6] Operation: 7-1=6
Exploring Operation: 2*1=2, Resulting Numbers: [7, 2]
Generated Node #0,2,2: 12:[7, 2] Operation: 2*1=2
Exploring Operation: 2/1=2, Resulting Numbers: [7, 2]
Generated Node #0,2,3: 12:[7, 2] Operation: 2/1=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[2, 6], Operations: ['33-26=7', '7-1=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,12 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:[2, 1, 26, 33], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [2, 1, 7]
Generated Node #0,2: 12:[2, 1, 7] Operation: 33-26=7
Moving to Node #0,2
Current State: 12:[2, 1, 7], Operations: ['33-26=7']
Exploring Operation: 7-1=6, Resulting Numbers: [2, 6]
Generated Node #0,2,1: 12:[2, 6] Operation: 7-1=6
Moving to Node #0,2,1
Current State: 12:[2, 6], Operations: ['33-26=7', '7-1=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
30,
92,
13,
41
] | 68 | [
"30+92=122",
"13+41=54",
"122-54=68"
] | Current State: 68:[30, 92, 13, 41], Operations: []
Exploring Operation: 30+92=122, Resulting Numbers: [13, 41, 122]
Generated Node #2: [13, 41, 122] from Operation: 30+92=122
Current State: 68:[13, 41, 122], Operations: ['30+92=122']
Exploring Operation: 13+41=54, Resulting Numbers: [122, 54]
Generated Node #3: [122, 54] from Operation: 13+41=54
Current State: 68:[122, 54], Operations: ['30+92=122', '13+41=54']
Exploring Operation: 122-54=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[30, 92, 13, 41], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [13, 41, 62]
Generated Node #0,0: 68:[13, 41, 62] Operation: 92-30=62
Exploring Operation: 92-13=79, Resulting Numbers: [30, 41, 79]
Generated Node #0,1: 68:[30, 41, 79] Operation: 92-13=79
Moving to Node #0,0
Current State: 68:[13, 41, 62], Operations: ['92-30=62']
Exploring Operation: 41-13=28, Resulting Numbers: [62, 28]
Generated Node #0,0,0: 68:[62, 28] Operation: 41-13=28
Exploring Operation: 62-41=21, Resulting Numbers: [13, 21]
Generated Node #0,0,1: 68:[13, 21] Operation: 62-41=21
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[13, 21], Operations: ['92-30=62', '62-41=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[62, 28], Operations: ['92-30=62', '41-13=28']
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,68 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: 68:[30, 41, 79], Operations: ['92-13=79']
Exploring Operation: 30+41=71, Resulting Numbers: [79, 71]
Generated Node #0,1,0: 68:[79, 71] Operation: 30+41=71
Exploring Operation: 79-41=38, Resulting Numbers: [30, 38]
Generated Node #0,1,1: 68:[30, 38] Operation: 79-41=38
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[30, 38], Operations: ['92-13=79', '79-41=38']
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[30, 92, 13, 41], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [30, 41, 79]
Generated Node #0,1: 68:[30, 41, 79] Operation: 92-13=79
Moving to Node #0,1
Current State: 68:[30, 41, 79], Operations: ['92-13=79']
Exploring Operation: 79-41=38, Resulting Numbers: [30, 38]
Generated Node #0,1,1: 68:[30, 38] Operation: 79-41=38
Moving to Node #0,1,1
Current State: 68:[30, 38], Operations: ['92-13=79', '79-41=38']
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
62,
31,
27,
71
] | 67 | [
"62-31=31",
"27+71=98",
"98-31=67"
] | Current State: 67:[62, 31, 27, 71], Operations: []
Exploring Operation: 62-31=31, Resulting Numbers: [27, 71, 31]
Generated Node #2: [27, 71, 31] from Operation: 62-31=31
Current State: 67:[27, 71, 31], Operations: ['62-31=31']
Exploring Operation: 27+71=98, Resulting Numbers: [31, 98]
Generated Node #3: [31, 98] from Operation: 27+71=98
Current State: 67:[31, 98], Operations: ['62-31=31', '27+71=98']
Exploring Operation: 98-31=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[62, 31, 27, 71], Operations: []
Exploring Operation: 71-27=44, Resulting Numbers: [62, 31, 44]
Generated Node #0,0: 67:[62, 31, 44] Operation: 71-27=44
Exploring Operation: 31+27=58, Resulting Numbers: [62, 71, 58]
Generated Node #0,1: 67:[62, 71, 58] Operation: 31+27=58
Exploring Operation: 62-27=35, Resulting Numbers: [31, 71, 35]
Generated Node #0,2: 67:[31, 71, 35] Operation: 62-27=35
Exploring Operation: 62+27=89, Resulting Numbers: [31, 71, 89]
Generated Node #0,3: 67:[31, 71, 89] Operation: 62+27=89
Exploring Operation: 62+31=93, Resulting Numbers: [27, 71, 93]
Generated Node #0,4: 67:[27, 71, 93] Operation: 62+31=93
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[62, 71, 58], Operations: ['31+27=58']
Exploring Operation: 71-62=9, Resulting Numbers: [58, 9]
Generated Node #0,1,0: 67:[58, 9] Operation: 71-62=9
Exploring Operation: 62-58=4, Resulting Numbers: [71, 4]
Generated Node #0,1,1: 67:[71, 4] Operation: 62-58=4
Exploring Operation: 71-58=13, Resulting Numbers: [62, 13]
Generated Node #0,1,2: 67:[62, 13] Operation: 71-58=13
Exploring Operation: 62+58=120, Resulting Numbers: [71, 120]
Generated Node #0,1,3: 67:[71, 120] Operation: 62+58=120
Exploring Operation: 71+58=129, Resulting Numbers: [62, 129]
Generated Node #0,1,4: 67:[62, 129] Operation: 71+58=129
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[71, 120], Operations: ['31+27=58', '62+58=120']
Exploring Operation: 71+120=191, Resulting Numbers: [191]
191,67 unequal: No Solution
Exploring Operation: 71*120=8520, Resulting Numbers: [8520]
8520,67 unequal: No Solution
Exploring Operation: 120-71=49, Resulting Numbers: [49]
49,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[62, 13], Operations: ['31+27=58', '71-58=13']
Exploring Operation: 62+13=75, Resulting Numbers: [75]
75,67 unequal: No Solution
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,67 unequal: No Solution
Exploring Operation: 62*13=806, Resulting Numbers: [806]
806,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[58, 9], Operations: ['31+27=58', '71-62=9']
Exploring Operation: 58*9=522, Resulting Numbers: [522]
522,67 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,67 unequal: No Solution
Exploring Operation: 58+9=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[62, 31, 27, 71], Operations: []
Exploring Operation: 31+27=58, Resulting Numbers: [62, 71, 58]
Generated Node #0,1: 67:[62, 71, 58] Operation: 31+27=58
Moving to Node #0,1
Current State: 67:[62, 71, 58], Operations: ['31+27=58']
Exploring Operation: 71-62=9, Resulting Numbers: [58, 9]
Generated Node #0,1,0: 67:[58, 9] Operation: 71-62=9
Moving to Node #0,1,0
Current State: 67:[58, 9], Operations: ['31+27=58', '71-62=9']
Exploring Operation: 58+9=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
3,
91,
95,
63
] | 84 | [
"63/3=21",
"95-91=4",
"21*4=84"
] | Current State: 84:[3, 91, 95, 63], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [91, 95, 21]
Generated Node #2: [91, 95, 21] from Operation: 63/3=21
Current State: 84:[91, 95, 21], Operations: ['63/3=21']
Exploring Operation: 95-91=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 95-91=4
Current State: 84:[21, 4], Operations: ['63/3=21', '95-91=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[3, 91, 95, 63], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [3, 63, 4]
Generated Node #0,0: 84:[3, 63, 4] Operation: 95-91=4
Exploring Operation: 91-63=28, Resulting Numbers: [3, 95, 28]
Generated Node #0,1: 84:[3, 95, 28] Operation: 91-63=28
Exploring Operation: 95-63=32, Resulting Numbers: [3, 91, 32]
Generated Node #0,2: 84:[3, 91, 32] Operation: 95-63=32
Exploring Operation: 63/3=21, Resulting Numbers: [91, 95, 21]
Generated Node #0,3: 84:[91, 95, 21] Operation: 63/3=21
Moving to Node #0,1
Current State: 84:[3, 95, 28], Operations: ['91-63=28']
Exploring Operation: 3+28=31, Resulting Numbers: [95, 31]
Generated Node #0,1,0: 84:[95, 31] Operation: 3+28=31
Exploring Operation: 3*28=84, Resulting Numbers: [95, 84]
Generated Node #0,1,1: 84:[95, 84] Operation: 3*28=84
Exploring Operation: 3+95=98, Resulting Numbers: [28, 98]
Generated Node #0,1,2: 84:[28, 98] Operation: 3+95=98
Exploring Operation: 95-3=92, Resulting Numbers: [28, 92]
Generated Node #0,1,3: 84:[28, 92] Operation: 95-3=92
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 84:[28, 92], Operations: ['91-63=28', '95-3=92']
Exploring Operation: 28*92=2576, Resulting Numbers: [2576]
2576,84 unequal: No Solution
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 28+92=120, Resulting Numbers: [120]
120,84 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 #0,1,1
Current State: 84:[95, 84], Operations: ['91-63=28', '3*28=84']
Exploring Operation: 95*84=7980, Resulting Numbers: [7980]
7980,84 unequal: No Solution
Exploring Operation: 95+84=179, Resulting Numbers: [179]
179,84 unequal: No Solution
Exploring Operation: 95-84=11, Resulting Numbers: [11]
11,84 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:[95, 31], Operations: ['91-63=28', '3+28=31']
Exploring Operation: 95+31=126, Resulting Numbers: [126]
126,84 unequal: No Solution
Exploring Operation: 95*31=2945, Resulting Numbers: [2945]
2945,84 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,84 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:[28, 98], Operations: ['91-63=28', '3+95=98']
Exploring Operation: 28*98=2744, Resulting Numbers: [2744]
2744,84 unequal: No Solution
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,84 unequal: No Solution
Exploring Operation: 28+98=126, Resulting Numbers: [126]
126,84 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: 84:[3, 91, 32], Operations: ['95-63=32']
Exploring Operation: 3+91=94, Resulting Numbers: [32, 94]
Generated Node #0,2,0: 84:[32, 94] Operation: 3+91=94
Exploring Operation: 91-3=88, Resulting Numbers: [32, 88]
Generated Node #0,2,1: 84:[32, 88] Operation: 91-3=88
Exploring Operation: 3+32=35, Resulting Numbers: [91, 35]
Generated Node #0,2,2: 84:[91, 35] Operation: 3+32=35
Exploring Operation: 32-3=29, Resulting Numbers: [91, 29]
Generated Node #0,2,3: 84:[91, 29] Operation: 32-3=29
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[32, 88], Operations: ['95-63=32', '91-3=88']
Exploring Operation: 88-32=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 32*88=2816, Resulting Numbers: [2816]
2816,84 unequal: No Solution
Exploring Operation: 32+88=120, Resulting Numbers: [120]
120,84 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:[91, 29], Operations: ['95-63=32', '32-3=29']
Exploring Operation: 91-29=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 91*29=2639, Resulting Numbers: [2639]
2639,84 unequal: No Solution
Exploring Operation: 91+29=120, Resulting Numbers: [120]
120,84 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:[32, 94], Operations: ['95-63=32', '3+91=94']
Exploring Operation: 32+94=126, Resulting Numbers: [126]
126,84 unequal: No Solution
Exploring Operation: 32*94=3008, Resulting Numbers: [3008]
3008,84 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,84 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 #0,2,2
Current State: 84:[91, 35], Operations: ['95-63=32', '3+32=35']
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,84 unequal: No Solution
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,84 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:[91, 95, 21], Operations: ['63/3=21']
Exploring Operation: 95-21=74, Resulting Numbers: [91, 74]
Generated Node #0,3,0: 84:[91, 74] Operation: 95-21=74
Exploring Operation: 91+21=112, Resulting Numbers: [95, 112]
Generated Node #0,3,1: 84:[95, 112] Operation: 91+21=112
Exploring Operation: 91-21=70, Resulting Numbers: [95, 70]
Generated Node #0,3,2: 84:[95, 70] Operation: 91-21=70
Exploring Operation: 95-91=4, Resulting Numbers: [21, 4]
Generated Node #0,3,3: 84:[21, 4] Operation: 95-91=4
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 84:[21, 4], Operations: ['63/3=21', '95-91=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[3, 91, 95, 63], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [91, 95, 21]
Generated Node #0,3: 84:[91, 95, 21] Operation: 63/3=21
Moving to Node #0,3
Current State: 84:[91, 95, 21], Operations: ['63/3=21']
Exploring Operation: 95-91=4, Resulting Numbers: [21, 4]
Generated Node #0,3,3: 84:[21, 4] Operation: 95-91=4
Moving to Node #0,3,3
Current State: 84:[21, 4], Operations: ['63/3=21', '95-91=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_4 | sum_heuristic |
[
42,
79,
62,
92
] | 67 | [
"79-42=37",
"92-62=30",
"37+30=67"
] | Current State: 67:[42, 79, 62, 92], Operations: []
Exploring Operation: 79-42=37, Resulting Numbers: [62, 92, 37]
Generated Node #2: [62, 92, 37] from Operation: 79-42=37
Current State: 67:[62, 92, 37], Operations: ['79-42=37']
Exploring Operation: 92-62=30, Resulting Numbers: [37, 30]
Generated Node #3: [37, 30] from Operation: 92-62=30
Current State: 67:[37, 30], Operations: ['79-42=37', '92-62=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[42, 79, 62, 92], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [79, 62, 50]
Generated Node #0,0: 67:[79, 62, 50] Operation: 92-42=50
Exploring Operation: 42+79=121, Resulting Numbers: [62, 92, 121]
Generated Node #0,1: 67:[62, 92, 121] Operation: 42+79=121
Exploring Operation: 42+62=104, Resulting Numbers: [79, 92, 104]
Generated Node #0,2: 67:[79, 92, 104] Operation: 42+62=104
Exploring Operation: 79-42=37, Resulting Numbers: [62, 92, 37]
Generated Node #0,3: 67:[62, 92, 37] Operation: 79-42=37
Exploring Operation: 92-62=30, Resulting Numbers: [42, 79, 30]
Generated Node #0,4: 67:[42, 79, 30] Operation: 92-62=30
Moving to Node #0,0
Current State: 67:[79, 62, 50], Operations: ['92-42=50']
Exploring Operation: 62-50=12, Resulting Numbers: [79, 12]
Generated Node #0,0,0: 67:[79, 12] Operation: 62-50=12
Exploring Operation: 62+50=112, Resulting Numbers: [79, 112]
Generated Node #0,0,1: 67:[79, 112] Operation: 62+50=112
Exploring Operation: 79+50=129, Resulting Numbers: [62, 129]
Generated Node #0,0,2: 67:[62, 129] Operation: 79+50=129
Exploring Operation: 79-62=17, Resulting Numbers: [50, 17]
Generated Node #0,0,3: 67:[50, 17] Operation: 79-62=17
Exploring Operation: 79-50=29, Resulting Numbers: [62, 29]
Generated Node #0,0,4: 67:[62, 29] Operation: 79-50=29
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 67:[62, 29], Operations: ['92-42=50', '79-50=29']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,67 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 #0,0,1
Current State: 67:[79, 112], Operations: ['92-42=50', '62+50=112']
Exploring Operation: 112-79=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 79+112=191, Resulting Numbers: [191]
191,67 unequal: No Solution
Exploring Operation: 79*112=8848, Resulting Numbers: [8848]
8848,67 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:[79, 12], Operations: ['92-42=50', '62-50=12']
Exploring Operation: 79*12=948, Resulting Numbers: [948]
948,67 unequal: No Solution
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[42, 79, 62, 92], Operations: []
Exploring Operation: 92-42=50, Resulting Numbers: [79, 62, 50]
Generated Node #0,0: 67:[79, 62, 50] Operation: 92-42=50
Moving to Node #0,0
Current State: 67:[79, 62, 50], Operations: ['92-42=50']
Exploring Operation: 62-50=12, Resulting Numbers: [79, 12]
Generated Node #0,0,0: 67:[79, 12] Operation: 62-50=12
Moving to Node #0,0,0
Current State: 67:[79, 12], Operations: ['92-42=50', '62-50=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
49,
32,
29,
80
] | 29 | [
"49+32=81",
"81-80=1",
"29*1=29"
] | Current State: 29:[49, 32, 29, 80], Operations: []
Exploring Operation: 49+32=81, Resulting Numbers: [29, 80, 81]
Generated Node #2: [29, 80, 81] from Operation: 49+32=81
Current State: 29:[29, 80, 81], Operations: ['49+32=81']
Exploring Operation: 81-80=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 81-80=1
Current State: 29:[29, 1], Operations: ['49+32=81', '81-80=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[49, 32, 29, 80], Operations: []
Exploring Operation: 80-29=51, Resulting Numbers: [49, 32, 51]
Generated Node #0,0: 29:[49, 32, 51] Operation: 80-29=51
Exploring Operation: 49-32=17, Resulting Numbers: [29, 80, 17]
Generated Node #0,1: 29:[29, 80, 17] Operation: 49-32=17
Exploring Operation: 80-49=31, Resulting Numbers: [32, 29, 31]
Generated Node #0,2: 29:[32, 29, 31] Operation: 80-49=31
Exploring Operation: 80-32=48, Resulting Numbers: [49, 29, 48]
Generated Node #0,3: 29:[49, 29, 48] Operation: 80-32=48
Exploring Operation: 49-29=20, Resulting Numbers: [32, 80, 20]
Generated Node #0,4: 29:[32, 80, 20] Operation: 49-29=20
Moving to Node #0,2
Current State: 29:[32, 29, 31], Operations: ['80-49=31']
Exploring Operation: 32+31=63, Resulting Numbers: [29, 63]
Generated Node #0,2,0: 29:[29, 63] Operation: 32+31=63
Exploring Operation: 32-29=3, Resulting Numbers: [31, 3]
Generated Node #0,2,1: 29:[31, 3] Operation: 32-29=3
Exploring Operation: 31-29=2, Resulting Numbers: [32, 2]
Generated Node #0,2,2: 29:[32, 2] Operation: 31-29=2
Exploring Operation: 32-31=1, Resulting Numbers: [29, 1]
Generated Node #0,2,3: 29:[29, 1] Operation: 32-31=1
Exploring Operation: 32+29=61, Resulting Numbers: [31, 61]
Generated Node #0,2,4: 29:[31, 61] Operation: 32+29=61
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[31, 3], Operations: ['80-49=31', '32-29=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[29, 1], Operations: ['80-49=31', '32-31=1']
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,29 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[49, 32, 29, 80], Operations: []
Exploring Operation: 80-49=31, Resulting Numbers: [32, 29, 31]
Generated Node #0,2: 29:[32, 29, 31] Operation: 80-49=31
Moving to Node #0,2
Current State: 29:[32, 29, 31], Operations: ['80-49=31']
Exploring Operation: 32-31=1, Resulting Numbers: [29, 1]
Generated Node #0,2,3: 29:[29, 1] Operation: 32-31=1
Moving to Node #0,2,3
Current State: 29:[29, 1], Operations: ['80-49=31', '32-31=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
79,
12,
63,
33
] | 82 | [
"33-12=21",
"63/21=3",
"79+3=82"
] | Current State: 82:[79, 12, 63, 33], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [79, 63, 21]
Generated Node #2: [79, 63, 21] from Operation: 33-12=21
Current State: 82:[79, 63, 21], Operations: ['33-12=21']
Exploring Operation: 63/21=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 63/21=3
Current State: 82:[79, 3], Operations: ['33-12=21', '63/21=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[79, 12, 63, 33], Operations: []
Exploring Operation: 12+33=45, Resulting Numbers: [79, 63, 45]
Generated Node #0,0: 82:[79, 63, 45] Operation: 12+33=45
Exploring Operation: 63-33=30, Resulting Numbers: [79, 12, 30]
Generated Node #0,1: 82:[79, 12, 30] Operation: 63-33=30
Exploring Operation: 63-12=51, Resulting Numbers: [79, 33, 51]
Generated Node #0,2: 82:[79, 33, 51] Operation: 63-12=51
Exploring Operation: 12+63=75, Resulting Numbers: [79, 33, 75]
Generated Node #0,3: 82:[79, 33, 75] Operation: 12+63=75
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[79, 33, 75], Operations: ['12+63=75']
Exploring Operation: 79-75=4, Resulting Numbers: [33, 4]
Generated Node #0,3,0: 82:[33, 4] Operation: 79-75=4
Exploring Operation: 79-33=46, Resulting Numbers: [75, 46]
Generated Node #0,3,1: 82:[75, 46] Operation: 79-33=46
Exploring Operation: 33+75=108, Resulting Numbers: [79, 108]
Generated Node #0,3,2: 82:[79, 108] Operation: 33+75=108
Exploring Operation: 75-33=42, Resulting Numbers: [79, 42]
Generated Node #0,3,3: 82:[79, 42] Operation: 75-33=42
Moving to Node #0,3,3
Current State: 82:[79, 42], Operations: ['12+63=75', '75-33=42']
Exploring Operation: 79-42=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 79+42=121, Resulting Numbers: [121]
121,82 unequal: No Solution
Exploring Operation: 79*42=3318, Resulting Numbers: [3318]
3318,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[33, 4], Operations: ['12+63=75', '79-75=4']
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,82 unequal: No Solution
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[75, 46], Operations: ['12+63=75', '79-33=46']
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 75+46=121, Resulting Numbers: [121]
121,82 unequal: No Solution
Exploring Operation: 75*46=3450, Resulting Numbers: [3450]
3450,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[79, 108], Operations: ['12+63=75', '33+75=108']
Exploring Operation: 79+108=187, Resulting Numbers: [187]
187,82 unequal: No Solution
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 79*108=8532, Resulting Numbers: [8532]
8532,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[79, 33, 51], Operations: ['63-12=51']
Exploring Operation: 51-33=18, Resulting Numbers: [79, 18]
Generated Node #0,2,0: 82:[79, 18] Operation: 51-33=18
Exploring Operation: 79-51=28, Resulting Numbers: [33, 28]
Generated Node #0,2,1: 82:[33, 28] Operation: 79-51=28
Exploring Operation: 79-33=46, Resulting Numbers: [51, 46]
Generated Node #0,2,2: 82:[51, 46] Operation: 79-33=46
Exploring Operation: 33+51=84, Resulting Numbers: [79, 84]
Generated Node #0,2,3: 82:[79, 84] Operation: 33+51=84
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 82:[79, 84], Operations: ['63-12=51', '33+51=84']
Exploring Operation: 79+84=163, Resulting Numbers: [163]
163,82 unequal: No Solution
Exploring Operation: 79*84=6636, Resulting Numbers: [6636]
6636,82 unequal: No Solution
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[51, 46], Operations: ['63-12=51', '79-33=46']
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,82 unequal: No Solution
Exploring Operation: 51+46=97, Resulting Numbers: [97]
97,82 unequal: No Solution
Exploring Operation: 51*46=2346, Resulting Numbers: [2346]
2346,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[79, 18], Operations: ['63-12=51', '51-33=18']
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,82 unequal: No Solution
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,82 unequal: No Solution
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[33, 28], Operations: ['63-12=51', '79-51=28']
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,82 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,82 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[79, 12, 30], Operations: ['63-33=30']
Exploring Operation: 30-12=18, Resulting Numbers: [79, 18]
Generated Node #0,1,0: 82:[79, 18] Operation: 30-12=18
Exploring Operation: 12+30=42, Resulting Numbers: [79, 42]
Generated Node #0,1,1: 82:[79, 42] Operation: 12+30=42
Exploring Operation: 79+12=91, Resulting Numbers: [30, 91]
Generated Node #0,1,2: 82:[30, 91] Operation: 79+12=91
Exploring Operation: 79-30=49, Resulting Numbers: [12, 49]
Generated Node #0,1,3: 82:[12, 49] Operation: 79-30=49
Moving to Node #0,1,1
Current State: 82:[79, 42], Operations: ['63-33=30', '12+30=42']
Exploring Operation: 79-42=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 79*42=3318, Resulting Numbers: [3318]
3318,82 unequal: No Solution
Exploring Operation: 79+42=121, Resulting Numbers: [121]
121,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[12, 49], Operations: ['63-33=30', '79-30=49']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,82 unequal: No Solution
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[79, 18], Operations: ['63-33=30', '30-12=18']
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,82 unequal: No Solution
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[30, 91], Operations: ['63-33=30', '79+12=91']
Exploring Operation: 30*91=2730, Resulting Numbers: [2730]
2730,82 unequal: No Solution
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 30+91=121, Resulting Numbers: [121]
121,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[79, 63, 45], Operations: ['12+33=45']
Exploring Operation: 79-63=16, Resulting Numbers: [45, 16]
Generated Node #0,0,0: 82:[45, 16] Operation: 79-63=16
Exploring Operation: 79-45=34, Resulting Numbers: [63, 34]
Generated Node #0,0,1: 82:[63, 34] Operation: 79-45=34
Exploring Operation: 63+45=108, Resulting Numbers: [79, 108]
Generated Node #0,0,2: 82:[79, 108] Operation: 63+45=108
Exploring Operation: 63-45=18, Resulting Numbers: [79, 18]
Generated Node #0,0,3: 82:[79, 18] Operation: 63-45=18
Moving to Node #0,0,0
Current State: 82:[45, 16], Operations: ['12+33=45', '79-63=16']
Exploring Operation: 45*16=720, Resulting Numbers: [720]
720,82 unequal: No Solution
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[79, 18], Operations: ['12+33=45', '63-45=18']
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,82 unequal: No Solution
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[63, 34], Operations: ['12+33=45', '79-45=34']
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,82 unequal: No Solution
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 63*34=2142, Resulting Numbers: [2142]
2142,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[79, 108], Operations: ['12+33=45', '63+45=108']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 79+108=187, Resulting Numbers: [187]
187,82 unequal: No Solution
Exploring Operation: 79*108=8532, Resulting Numbers: [8532]
8532,82 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 |
[
95,
19,
23,
26
] | 66 | [
"26-19=7",
"23*7=161",
"161-95=66"
] | Current State: 66:[95, 19, 23, 26], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [95, 23, 7]
Generated Node #2: [95, 23, 7] from Operation: 26-19=7
Current State: 66:[95, 23, 7], Operations: ['26-19=7']
Exploring Operation: 23*7=161, Resulting Numbers: [95, 161]
Generated Node #3: [95, 161] from Operation: 23*7=161
Current State: 66:[95, 161], Operations: ['26-19=7', '23*7=161']
Exploring Operation: 161-95=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[95, 19, 23, 26], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [23, 26, 5]
Generated Node #0,0: 66:[23, 26, 5] Operation: 95/19=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[23, 26, 5], Operations: ['95/19=5']
Exploring Operation: 26-23=3, Resulting Numbers: [5, 3]
Generated Node #0,0,0: 66:[5, 3] Operation: 26-23=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[5, 3], Operations: ['95/19=5', '26-23=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,66 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 |
[
59,
7,
91,
31
] | 17 | [
"59+91=150",
"150-31=119",
"119/7=17"
] | Current State: 17:[59, 7, 91, 31], Operations: []
Exploring Operation: 59+91=150, Resulting Numbers: [7, 31, 150]
Generated Node #2: [7, 31, 150] from Operation: 59+91=150
Current State: 17:[7, 31, 150], Operations: ['59+91=150']
Exploring Operation: 150-31=119, Resulting Numbers: [7, 119]
Generated Node #3: [7, 119] from Operation: 150-31=119
Current State: 17:[7, 119], Operations: ['59+91=150', '150-31=119']
Exploring Operation: 119/7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[59, 7, 91, 31], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [59, 7, 60]
Generated Node #0,0: 17:[59, 7, 60] Operation: 91-31=60
Exploring Operation: 91/7=13, Resulting Numbers: [59, 31, 13]
Generated Node #0,1: 17:[59, 31, 13] Operation: 91/7=13
Exploring Operation: 59-31=28, Resulting Numbers: [7, 91, 28]
Generated Node #0,2: 17:[7, 91, 28] Operation: 59-31=28
Exploring Operation: 91-59=32, Resulting Numbers: [7, 31, 32]
Generated Node #0,3: 17:[7, 31, 32] Operation: 91-59=32
Moving to Node #0,3
Current State: 17:[7, 31, 32], Operations: ['91-59=32']
Exploring Operation: 32-31=1, Resulting Numbers: [7, 1]
Generated Node #0,3,0: 17:[7, 1] Operation: 32-31=1
Exploring Operation: 32-7=25, Resulting Numbers: [31, 25]
Generated Node #0,3,1: 17:[31, 25] Operation: 32-7=25
Exploring Operation: 7+31=38, Resulting Numbers: [32, 38]
Generated Node #0,3,2: 17:[32, 38] Operation: 7+31=38
Exploring Operation: 31-7=24, Resulting Numbers: [32, 24]
Generated Node #0,3,3: 17:[32, 24] Operation: 31-7=24
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 17:[31, 25], Operations: ['91-59=32', '32-7=25']
Exploring Operation: 31*25=775, Resulting Numbers: [775]
775,17 unequal: No Solution
Exploring Operation: 31+25=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 17:[32, 24], Operations: ['91-59=32', '31-7=24']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 17:[7, 1], Operations: ['91-59=32', '32-31=1']
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 17:[32, 38], Operations: ['91-59=32', '7+31=38']
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 32*38=1216, Resulting Numbers: [1216]
1216,17 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,17 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: 17:[59, 31, 13], Operations: ['91/7=13']
Exploring Operation: 31-13=18, Resulting Numbers: [59, 18]
Generated Node #0,1,0: 17:[59, 18] Operation: 31-13=18
Exploring Operation: 59+13=72, Resulting Numbers: [31, 72]
Generated Node #0,1,1: 17:[31, 72] Operation: 59+13=72
Exploring Operation: 59-13=46, Resulting Numbers: [31, 46]
Generated Node #0,1,2: 17:[31, 46] Operation: 59-13=46
Exploring Operation: 59-31=28, Resulting Numbers: [13, 28]
Generated Node #0,1,3: 17:[13, 28] Operation: 59-31=28
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 17:[13, 28], Operations: ['91/7=13', '59-31=28']
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,17 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[59, 18], Operations: ['91/7=13', '31-13=18']
Exploring Operation: 59*18=1062, Resulting Numbers: [1062]
1062,17 unequal: No Solution
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Exploring Operation: 59+18=77, Resulting Numbers: [77]
77,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[31, 46], Operations: ['91/7=13', '59-13=46']
Exploring Operation: 31*46=1426, Resulting Numbers: [1426]
1426,17 unequal: No Solution
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 31+46=77, Resulting Numbers: [77]
77,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[31, 72], Operations: ['91/7=13', '59+13=72']
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,17 unequal: No Solution
Exploring Operation: 31+72=103, Resulting Numbers: [103]
103,17 unequal: No Solution
Exploring Operation: 31*72=2232, Resulting Numbers: [2232]
2232,17 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: 17:[7, 91, 28], Operations: ['59-31=28']
Exploring Operation: 91-7=84, Resulting Numbers: [28, 84]
Generated Node #0,2,0: 17:[28, 84] Operation: 91-7=84
Exploring Operation: 91/7=13, Resulting Numbers: [28, 13]
Generated Node #0,2,1: 17:[28, 13] Operation: 91/7=13
Exploring Operation: 28-7=21, Resulting Numbers: [91, 21]
Generated Node #0,2,2: 17:[91, 21] Operation: 28-7=21
Exploring Operation: 91-28=63, Resulting Numbers: [7, 63]
Generated Node #0,2,3: 17:[7, 63] Operation: 91-28=63
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 17:[28, 13], Operations: ['59-31=28', '91/7=13']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,17 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 17:[7, 63], Operations: ['59-31=28', '91-28=63']
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 7*63=441, Resulting Numbers: [441]
441,17 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[28, 84], Operations: ['59-31=28', '91-7=84']
Exploring Operation: 28*84=2352, Resulting Numbers: [2352]
2352,17 unequal: No Solution
Exploring Operation: 28+84=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[91, 21], Operations: ['59-31=28', '28-7=21']
Exploring Operation: 91+21=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 91-21=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Exploring Operation: 91*21=1911, Resulting Numbers: [1911]
1911,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 17:[59, 7, 60], Operations: ['91-31=60']
Exploring Operation: 60-59=1, Resulting Numbers: [7, 1]
Generated Node #0,0,0: 17:[7, 1] Operation: 60-59=1
Exploring Operation: 59+7=66, Resulting Numbers: [60, 66]
Generated Node #0,0,1: 17:[60, 66] Operation: 59+7=66
Exploring Operation: 59-7=52, Resulting Numbers: [60, 52]
Generated Node #0,0,2: 17:[60, 52] Operation: 59-7=52
Exploring Operation: 60-7=53, Resulting Numbers: [59, 53]
Generated Node #0,0,3: 17:[59, 53] Operation: 60-7=53
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[7, 1], Operations: ['91-31=60', '60-59=1']
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,17 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,17 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 17:[60, 52], Operations: ['91-31=60', '59-7=52']
Exploring Operation: 60+52=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 60*52=3120, Resulting Numbers: [3120]
3120,17 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 17:[59, 53], Operations: ['91-31=60', '60-7=53']
Exploring Operation: 59-53=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 59*53=3127, Resulting Numbers: [3127]
3127,17 unequal: No Solution
Exploring Operation: 59+53=112, Resulting Numbers: [112]
112,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[60, 66], Operations: ['91-31=60', '59+7=66']
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 60+66=126, Resulting Numbers: [126]
126,17 unequal: No Solution
Exploring Operation: 60*66=3960, Resulting Numbers: [3960]
3960,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
4,
26,
79,
42
] | 49 | [
"26*79=2054",
"4+2054=2058",
"2058/42=49"
] | Current State: 49:[4, 26, 79, 42], Operations: []
Exploring Operation: 26*79=2054, Resulting Numbers: [4, 42, 2054]
Generated Node #2: [4, 42, 2054] from Operation: 26*79=2054
Current State: 49:[4, 42, 2054], Operations: ['26*79=2054']
Exploring Operation: 4+2054=2058, Resulting Numbers: [42, 2058]
Generated Node #3: [42, 2058] from Operation: 4+2054=2058
Current State: 49:[42, 2058], Operations: ['26*79=2054', '4+2054=2058']
Exploring Operation: 2058/42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[4, 26, 79, 42], Operations: []
Exploring Operation: 79-26=53, Resulting Numbers: [4, 42, 53]
Generated Node #0,0: 49:[4, 42, 53] Operation: 79-26=53
Exploring Operation: 42-26=16, Resulting Numbers: [4, 79, 16]
Generated Node #0,1: 49:[4, 79, 16] Operation: 42-26=16
Exploring Operation: 79-42=37, Resulting Numbers: [4, 26, 37]
Generated Node #0,2: 49:[4, 26, 37] Operation: 79-42=37
Moving to Node #0,0
Current State: 49:[4, 42, 53], Operations: ['79-26=53']
Exploring Operation: 4+42=46, Resulting Numbers: [53, 46]
Generated Node #0,0,0: 49:[53, 46] Operation: 4+42=46
Exploring Operation: 53-42=11, Resulting Numbers: [4, 11]
Generated Node #0,0,1: 49:[4, 11] Operation: 53-42=11
Exploring Operation: 53-4=49, Resulting Numbers: [42, 49]
Generated Node #0,0,2: 49:[42, 49] Operation: 53-4=49
Moving to Node #0,2
Current State: 49:[4, 26, 37], Operations: ['79-42=37']
Exploring Operation: 26-4=22, Resulting Numbers: [37, 22]
Generated Node #0,2,0: 49:[37, 22] Operation: 26-4=22
Exploring Operation: 26+37=63, Resulting Numbers: [4, 63]
Generated Node #0,2,1: 49:[4, 63] Operation: 26+37=63
Exploring Operation: 37-26=11, Resulting Numbers: [4, 11]
Generated Node #0,2,2: 49:[4, 11] Operation: 37-26=11
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[4, 11], Operations: ['79-42=37', '37-26=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[4, 63], Operations: ['79-42=37', '26+37=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,49 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[37, 22], Operations: ['79-42=37', '26-4=22']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 37*22=814, Resulting Numbers: [814]
814,49 unequal: No Solution
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 49:[4, 79, 16], Operations: ['42-26=16']
Exploring Operation: 79-16=63, Resulting Numbers: [4, 63]
Generated Node #0,1,0: 49:[4, 63] Operation: 79-16=63
Exploring Operation: 16/4=4, Resulting Numbers: [79, 4]
Generated Node #0,1,1: 49:[79, 4] Operation: 16/4=4
Exploring Operation: 79-4=75, Resulting Numbers: [16, 75]
Generated Node #0,1,2: 49:[16, 75] Operation: 79-4=75
Moving to Node #0,0,0
Current State: 49:[53, 46], Operations: ['79-26=53', '4+42=46']
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,49 unequal: No Solution
Exploring Operation: 53+46=99, Resulting Numbers: [99]
99,49 unequal: No Solution
Exploring Operation: 53*46=2438, Resulting Numbers: [2438]
2438,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[42, 49], Operations: ['79-26=53', '53-4=49']
Exploring Operation: 42*49=2058, Resulting Numbers: [2058]
2058,49 unequal: No Solution
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,49 unequal: No Solution
Exploring Operation: 49-42=7, Resulting Numbers: [7]
7,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[4, 11], Operations: ['79-26=53', '53-42=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,49 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,49 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[4, 63], Operations: ['42-26=16', '79-16=63']
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,49 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[79, 4], Operations: ['42-26=16', '16/4=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,49 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,49 unequal: No Solution
Exploring Operation: 79*4=316, Resulting Numbers: [316]
316,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[16, 75], Operations: ['42-26=16', '79-4=75']
Exploring Operation: 16*75=1200, Resulting Numbers: [1200]
1200,49 unequal: No Solution
Exploring Operation: 16+75=91, Resulting Numbers: [91]
91,49 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,49 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
38,
71,
7,
8
] | 18 | [
"71-38=33",
"7+8=15",
"33-15=18"
] | Current State: 18:[38, 71, 7, 8], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [7, 8, 33]
Generated Node #2: [7, 8, 33] from Operation: 71-38=33
Current State: 18:[7, 8, 33], Operations: ['71-38=33']
Exploring Operation: 7+8=15, Resulting Numbers: [33, 15]
Generated Node #3: [33, 15] from Operation: 7+8=15
Current State: 18:[33, 15], Operations: ['71-38=33', '7+8=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[38, 71, 7, 8], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [7, 8, 33]
Generated Node #0,0: 18:[7, 8, 33] Operation: 71-38=33
Moving to Node #0,0
Current State: 18:[7, 8, 33], Operations: ['71-38=33']
Exploring Operation: 33-8=25, Resulting Numbers: [7, 25]
Generated Node #0,0,0: 18:[7, 25] Operation: 33-8=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[7, 25], Operations: ['71-38=33', '33-8=25']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[38, 71, 7, 8], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [7, 8, 33]
Generated Node #0,0: 18:[7, 8, 33] Operation: 71-38=33
Moving to Node #0,0
Current State: 18:[7, 8, 33], Operations: ['71-38=33']
Exploring Operation: 33-8=25, Resulting Numbers: [7, 25]
Generated Node #0,0,0: 18:[7, 25] Operation: 33-8=25
Moving to Node #0,0,0
Current State: 18:[7, 25], Operations: ['71-38=33', '33-8=25']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
13,
31,
16,
25
] | 44 | [
"16-13=3",
"25*3=75",
"75-31=44"
] | Current State: 44:[13, 31, 16, 25], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [31, 25, 3]
Generated Node #2: [31, 25, 3] from Operation: 16-13=3
Current State: 44:[31, 25, 3], Operations: ['16-13=3']
Exploring Operation: 25*3=75, Resulting Numbers: [31, 75]
Generated Node #3: [31, 75] from Operation: 25*3=75
Current State: 44:[31, 75], Operations: ['16-13=3', '25*3=75']
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[13, 31, 16, 25], Operations: []
Exploring Operation: 13+31=44, Resulting Numbers: [16, 25, 44]
Generated Node #0,0: 44:[16, 25, 44] Operation: 13+31=44
Exploring Operation: 31+16=47, Resulting Numbers: [13, 25, 47]
Generated Node #0,1: 44:[13, 25, 47] Operation: 31+16=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[16, 25, 44], Operations: ['13+31=44']
Exploring Operation: 25-16=9, Resulting Numbers: [44, 9]
Generated Node #0,0,0: 44:[44, 9] Operation: 25-16=9
Exploring Operation: 16+25=41, Resulting Numbers: [44, 41]
Generated Node #0,0,1: 44:[44, 41] Operation: 16+25=41
Moving to Node #0,0,0
Current State: 44:[44, 9], Operations: ['13+31=44', '25-16=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,44 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[44, 41], Operations: ['13+31=44', '16+25=41']
Exploring Operation: 44+41=85, Resulting Numbers: [85]
85,44 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,44 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 #0,1
Current State: 44:[13, 25, 47], Operations: ['31+16=47']
Exploring Operation: 47-25=22, Resulting Numbers: [13, 22]
Generated Node #0,1,0: 44:[13, 22] Operation: 47-25=22
Exploring Operation: 25-13=12, Resulting Numbers: [47, 12]
Generated Node #0,1,1: 44:[47, 12] Operation: 25-13=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[13, 22], Operations: ['31+16=47', '47-25=22']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[47, 12], Operations: ['31+16=47', '25-13=12']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
5,
36,
21,
43
] | 56 | [
"43-36=7",
"5*7=35",
"21+35=56"
] | Current State: 56:[5, 36, 21, 43], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [5, 21, 7]
Generated Node #2: [5, 21, 7] from Operation: 43-36=7
Current State: 56:[5, 21, 7], Operations: ['43-36=7']
Exploring Operation: 5*7=35, Resulting Numbers: [21, 35]
Generated Node #3: [21, 35] from Operation: 5*7=35
Current State: 56:[21, 35], Operations: ['43-36=7', '5*7=35']
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[5, 36, 21, 43], Operations: []
Exploring Operation: 36+21=57, Resulting Numbers: [5, 43, 57]
Generated Node #0,0: 56:[5, 43, 57] Operation: 36+21=57
Exploring Operation: 43-36=7, Resulting Numbers: [5, 21, 7]
Generated Node #0,1: 56:[5, 21, 7] Operation: 43-36=7
Exploring Operation: 36-21=15, Resulting Numbers: [5, 43, 15]
Generated Node #0,2: 56:[5, 43, 15] Operation: 36-21=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[5, 21, 7], Operations: ['43-36=7']
Exploring Operation: 21+7=28, Resulting Numbers: [5, 28]
Generated Node #0,1,0: 56:[5, 28] Operation: 21+7=28
Exploring Operation: 21-7=14, Resulting Numbers: [5, 14]
Generated Node #0,1,1: 56:[5, 14] Operation: 21-7=14
Exploring Operation: 5+21=26, Resulting Numbers: [7, 26]
Generated Node #0,1,2: 56:[7, 26] Operation: 5+21=26
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[5, 28], Operations: ['43-36=7', '21+7=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,56 unequal: No Solution
No 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: 56:[5, 14], Operations: ['43-36=7', '21-7=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,56 unequal: No Solution
No 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: 56:[7, 26], Operations: ['43-36=7', '5+21=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,56 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,56 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: 56:[5, 43, 57], Operations: ['36+21=57']
Exploring Operation: 5+43=48, Resulting Numbers: [57, 48]
Generated Node #0,0,0: 56:[57, 48] Operation: 5+43=48
Exploring Operation: 43-5=38, Resulting Numbers: [57, 38]
Generated Node #0,0,1: 56:[57, 38] Operation: 43-5=38
Exploring Operation: 57-43=14, Resulting Numbers: [5, 14]
Generated Node #0,0,2: 56:[5, 14] Operation: 57-43=14
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 56:[5, 14], Operations: ['36+21=57', '57-43=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,56 unequal: No Solution
No 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: 56:[57, 48], Operations: ['36+21=57', '5+43=48']
Exploring Operation: 57*48=2736, Resulting Numbers: [2736]
2736,56 unequal: No Solution
Exploring Operation: 57+48=105, Resulting Numbers: [105]
105,56 unequal: No Solution
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,56 unequal: No Solution
No 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: 56:[57, 38], Operations: ['36+21=57', '43-5=38']
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,56 unequal: No Solution
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,56 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: 56:[5, 43, 15], Operations: ['36-21=15']
Exploring Operation: 43+15=58, Resulting Numbers: [5, 58]
Generated Node #0,2,0: 56:[5, 58] Operation: 43+15=58
Exploring Operation: 43-15=28, Resulting Numbers: [5, 28]
Generated Node #0,2,1: 56:[5, 28] Operation: 43-15=28
Exploring Operation: 5+43=48, Resulting Numbers: [15, 48]
Generated Node #0,2,2: 56:[15, 48] Operation: 5+43=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 56:[5, 28], Operations: ['36-21=15', '43-15=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,56 unequal: No Solution
No 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: 56:[5, 58], Operations: ['36-21=15', '43+15=58']
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,56 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,56 unequal: No Solution
No 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: 56:[15, 48], Operations: ['36-21=15', '5+43=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,56 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 |
[
32,
88,
7,
46
] | 86 | [
"46-32=14",
"14/7=2",
"88-2=86"
] | Current State: 86:[32, 88, 7, 46], Operations: []
Exploring Operation: 46-32=14, Resulting Numbers: [88, 7, 14]
Generated Node #2: [88, 7, 14] from Operation: 46-32=14
Current State: 86:[88, 7, 14], Operations: ['46-32=14']
Exploring Operation: 14/7=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 14/7=2
Current State: 86:[88, 2], Operations: ['46-32=14', '14/7=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[32, 88, 7, 46], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [32, 7, 42]
Generated Node #0,0: 86:[32, 7, 42] Operation: 88-46=42
Exploring Operation: 32+46=78, Resulting Numbers: [88, 7, 78]
Generated Node #0,1: 86:[88, 7, 78] Operation: 32+46=78
Exploring Operation: 32+7=39, Resulting Numbers: [88, 46, 39]
Generated Node #0,2: 86:[88, 46, 39] Operation: 32+7=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[88, 46, 39], Operations: ['32+7=39']
Exploring Operation: 46+39=85, Resulting Numbers: [88, 85]
Generated Node #0,2,0: 86:[88, 85] Operation: 46+39=85
Exploring Operation: 46-39=7, Resulting Numbers: [88, 7]
Generated Node #0,2,1: 86:[88, 7] Operation: 46-39=7
Exploring Operation: 88-46=42, Resulting Numbers: [39, 42]
Generated Node #0,2,2: 86:[39, 42] Operation: 88-46=42
Moving to Node #0,2,0
Current State: 86:[88, 85], Operations: ['32+7=39', '46+39=85']
Exploring Operation: 88+85=173, Resulting Numbers: [173]
173,86 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 88*85=7480, Resulting Numbers: [7480]
7480,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[39, 42], Operations: ['32+7=39', '88-46=42']
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 39*42=1638, Resulting Numbers: [1638]
1638,86 unequal: No Solution
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[88, 7], Operations: ['32+7=39', '46-39=7']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,86 unequal: No Solution
Exploring Operation: 88*7=616, Resulting Numbers: [616]
616,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[88, 7, 78], Operations: ['32+46=78']
Exploring Operation: 88-78=10, Resulting Numbers: [7, 10]
Generated Node #0,1,0: 86:[7, 10] Operation: 88-78=10
Exploring Operation: 7+78=85, Resulting Numbers: [88, 85]
Generated Node #0,1,1: 86:[88, 85] Operation: 7+78=85
Exploring Operation: 88-7=81, Resulting Numbers: [78, 81]
Generated Node #0,1,2: 86:[78, 81] Operation: 88-7=81
Moving to Node #0,1,1
Current State: 86:[88, 85], Operations: ['32+46=78', '7+78=85']
Exploring Operation: 88+85=173, Resulting Numbers: [173]
173,86 unequal: No Solution
Exploring Operation: 88*85=7480, Resulting Numbers: [7480]
7480,86 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[7, 10], Operations: ['32+46=78', '88-78=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[78, 81], Operations: ['32+46=78', '88-7=81']
Exploring Operation: 78*81=6318, Resulting Numbers: [6318]
6318,86 unequal: No Solution
Exploring Operation: 78+81=159, Resulting Numbers: [159]
159,86 unequal: No Solution
Exploring Operation: 81-78=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[32, 7, 42], Operations: ['88-46=42']
Exploring Operation: 32+7=39, Resulting Numbers: [42, 39]
Generated Node #0,0,0: 86:[42, 39] Operation: 32+7=39
Exploring Operation: 42-32=10, Resulting Numbers: [7, 10]
Generated Node #0,0,1: 86:[7, 10] Operation: 42-32=10
Exploring Operation: 42/7=6, Resulting Numbers: [32, 6]
Generated Node #0,0,2: 86:[32, 6] Operation: 42/7=6
Moving to Node #0,0,0
Current State: 86:[42, 39], Operations: ['88-46=42', '32+7=39']
Exploring Operation: 42*39=1638, Resulting Numbers: [1638]
1638,86 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[7, 10], Operations: ['88-46=42', '42-32=10']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,86 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[32, 6], Operations: ['88-46=42', '42/7=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,86 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,86 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 |
[
3,
71,
19,
41
] | 31 | [
"71-19=52",
"41+52=93",
"93/3=31"
] | Current State: 31:[3, 71, 19, 41], Operations: []
Exploring Operation: 71-19=52, Resulting Numbers: [3, 41, 52]
Generated Node #2: [3, 41, 52] from Operation: 71-19=52
Current State: 31:[3, 41, 52], Operations: ['71-19=52']
Exploring Operation: 41+52=93, Resulting Numbers: [3, 93]
Generated Node #3: [3, 93] from Operation: 41+52=93
Current State: 31:[3, 93], Operations: ['71-19=52', '41+52=93']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[3, 71, 19, 41], Operations: []
Exploring Operation: 71-41=30, Resulting Numbers: [3, 19, 30]
Generated Node #0,0: 31:[3, 19, 30] Operation: 71-41=30
Exploring Operation: 3+19=22, Resulting Numbers: [71, 41, 22]
Generated Node #0,1: 31:[71, 41, 22] Operation: 3+19=22
Exploring Operation: 71-3=68, Resulting Numbers: [19, 41, 68]
Generated Node #0,2: 31:[19, 41, 68] Operation: 71-3=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[3, 19, 30], Operations: ['71-41=30']
Exploring Operation: 3+19=22, Resulting Numbers: [30, 22]
Generated Node #0,0,0: 31:[30, 22] Operation: 3+19=22
Exploring Operation: 19-3=16, Resulting Numbers: [30, 16]
Generated Node #0,0,1: 31:[30, 16] Operation: 19-3=16
Exploring Operation: 3+30=33, Resulting Numbers: [19, 33]
Generated Node #0,0,2: 31:[19, 33] Operation: 3+30=33
Moving to Node #0,0,0
Current State: 31:[30, 22], Operations: ['71-41=30', '3+19=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 30*22=660, Resulting Numbers: [660]
660,31 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[19, 33], Operations: ['71-41=30', '3+30=33']
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 19*33=627, Resulting Numbers: [627]
627,31 unequal: No Solution
Exploring Operation: 19+33=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[30, 16], Operations: ['71-41=30', '19-3=16']
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,31 unequal: No Solution
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,31 unequal: No Solution
No 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: 31:[71, 41, 22], Operations: ['3+19=22']
Exploring Operation: 41-22=19, Resulting Numbers: [71, 19]
Generated Node #0,1,0: 31:[71, 19] Operation: 41-22=19
Exploring Operation: 71-22=49, Resulting Numbers: [41, 49]
Generated Node #0,1,1: 31:[41, 49] Operation: 71-22=49
Exploring Operation: 71-41=30, Resulting Numbers: [22, 30]
Generated Node #0,1,2: 31:[22, 30] Operation: 71-41=30
Moving to Node #0,1,2
Current State: 31:[22, 30], Operations: ['3+19=22', '71-41=30']
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,31 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[41, 49], Operations: ['3+19=22', '71-22=49']
Exploring Operation: 41+49=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Exploring Operation: 41*49=2009, Resulting Numbers: [2009]
2009,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[71, 19], Operations: ['3+19=22', '41-22=19']
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,31 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,31 unequal: No Solution
No 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: 31:[19, 41, 68], Operations: ['71-3=68']
Exploring Operation: 68-41=27, Resulting Numbers: [19, 27]
Generated Node #0,2,0: 31:[19, 27] Operation: 68-41=27
Exploring Operation: 41-19=22, Resulting Numbers: [68, 22]
Generated Node #0,2,1: 31:[68, 22] Operation: 41-19=22
Exploring Operation: 68-19=49, Resulting Numbers: [41, 49]
Generated Node #0,2,2: 31:[41, 49] Operation: 68-19=49
Moving to Node #0,2,0
Current State: 31:[19, 27], Operations: ['71-3=68', '68-41=27']
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Exploring Operation: 19*27=513, Resulting Numbers: [513]
513,31 unequal: No Solution
Exploring Operation: 19+27=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[41, 49], Operations: ['71-3=68', '68-19=49']
Exploring Operation: 41+49=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 41*49=2009, Resulting Numbers: [2009]
2009,31 unequal: No Solution
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[68, 22], Operations: ['71-3=68', '41-19=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,31 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 |
[
9,
87,
74,
59
] | 58 | [
"87-74=13",
"9*13=117",
"117-59=58"
] | Current State: 58:[9, 87, 74, 59], Operations: []
Exploring Operation: 87-74=13, Resulting Numbers: [9, 59, 13]
Generated Node #2: [9, 59, 13] from Operation: 87-74=13
Current State: 58:[9, 59, 13], Operations: ['87-74=13']
Exploring Operation: 9*13=117, Resulting Numbers: [59, 117]
Generated Node #3: [59, 117] from Operation: 9*13=117
Current State: 58:[59, 117], Operations: ['87-74=13', '9*13=117']
Exploring Operation: 117-59=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[9, 87, 74, 59], Operations: []
Exploring Operation: 87-9=78, Resulting Numbers: [74, 59, 78]
Generated Node #0,0: 58:[74, 59, 78] Operation: 87-9=78
Exploring Operation: 87-59=28, Resulting Numbers: [9, 74, 28]
Generated Node #0,1: 58:[9, 74, 28] Operation: 87-59=28
Exploring Operation: 87-74=13, Resulting Numbers: [9, 59, 13]
Generated Node #0,2: 58:[9, 59, 13] Operation: 87-74=13
Exploring Operation: 74-9=65, Resulting Numbers: [87, 59, 65]
Generated Node #0,3: 58:[87, 59, 65] Operation: 74-9=65
Moving to Node #0,2
Current State: 58:[9, 59, 13], Operations: ['87-74=13']
Exploring Operation: 59-13=46, Resulting Numbers: [9, 46]
Generated Node #0,2,0: 58:[9, 46] Operation: 59-13=46
Exploring Operation: 13-9=4, Resulting Numbers: [59, 4]
Generated Node #0,2,1: 58:[59, 4] Operation: 13-9=4
Exploring Operation: 59-9=50, Resulting Numbers: [13, 50]
Generated Node #0,2,2: 58:[13, 50] Operation: 59-9=50
Exploring Operation: 9+13=22, Resulting Numbers: [59, 22]
Generated Node #0,2,3: 58:[59, 22] Operation: 9+13=22
Moving to Node #0,1
Current State: 58:[9, 74, 28], Operations: ['87-59=28']
Exploring Operation: 74-28=46, Resulting Numbers: [9, 46]
Generated Node #0,1,0: 58:[9, 46] Operation: 74-28=46
Exploring Operation: 9+28=37, Resulting Numbers: [74, 37]
Generated Node #0,1,1: 58:[74, 37] Operation: 9+28=37
Exploring Operation: 74-9=65, Resulting Numbers: [28, 65]
Generated Node #0,1,2: 58:[28, 65] Operation: 74-9=65
Exploring Operation: 9+74=83, Resulting Numbers: [28, 83]
Generated Node #0,1,3: 58:[28, 83] Operation: 9+74=83
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[28, 65], Operations: ['87-59=28', '74-9=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 28*65=1820, Resulting Numbers: [1820]
1820,58 unequal: No Solution
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[9, 46], Operations: ['87-59=28', '74-28=46']
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,58 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[74, 37], Operations: ['87-59=28', '9+28=37']
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 74+37=111, Resulting Numbers: [111]
111,58 unequal: No Solution
Exploring Operation: 74/37=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 74*37=2738, Resulting Numbers: [2738]
2738,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 58:[28, 83], Operations: ['87-59=28', '9+74=83']
Exploring Operation: 28*83=2324, Resulting Numbers: [2324]
2324,58 unequal: No Solution
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 28+83=111, Resulting Numbers: [111]
111,58 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: 58:[87, 59, 65], Operations: ['74-9=65']
Exploring Operation: 87-59=28, Resulting Numbers: [65, 28]
Generated Node #0,3,0: 58:[65, 28] Operation: 87-59=28
Exploring Operation: 87-65=22, Resulting Numbers: [59, 22]
Generated Node #0,3,1: 58:[59, 22] Operation: 87-65=22
Exploring Operation: 65-59=6, Resulting Numbers: [87, 6]
Generated Node #0,3,2: 58:[87, 6] Operation: 65-59=6
Exploring Operation: 87+59=146, Resulting Numbers: [65, 146]
Generated Node #0,3,3: 58:[65, 146] Operation: 87+59=146
Moving to Node #0,0
Current State: 58:[74, 59, 78], Operations: ['87-9=78']
Exploring Operation: 74+59=133, Resulting Numbers: [78, 133]
Generated Node #0,0,0: 58:[78, 133] Operation: 74+59=133
Exploring Operation: 78-74=4, Resulting Numbers: [59, 4]
Generated Node #0,0,1: 58:[59, 4] Operation: 78-74=4
Exploring Operation: 74-59=15, Resulting Numbers: [78, 15]
Generated Node #0,0,2: 58:[78, 15] Operation: 74-59=15
Exploring Operation: 78-59=19, Resulting Numbers: [74, 19]
Generated Node #0,0,3: 58:[74, 19] Operation: 78-59=19
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[59, 4], Operations: ['87-9=78', '78-74=4']
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,58 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[74, 19], Operations: ['87-9=78', '78-59=19']
Exploring Operation: 74+19=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 74*19=1406, Resulting Numbers: [1406]
1406,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[78, 15], Operations: ['87-9=78', '74-59=15']
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,58 unequal: No Solution
Exploring Operation: 78*15=1170, Resulting Numbers: [1170]
1170,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[78, 133], Operations: ['87-9=78', '74+59=133']
Exploring Operation: 78*133=10374, Resulting Numbers: [10374]
10374,58 unequal: No Solution
Exploring Operation: 78+133=211, Resulting Numbers: [211]
211,58 unequal: No Solution
Exploring Operation: 133-78=55, Resulting Numbers: [55]
55,58 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: 58:[59, 4], Operations: ['87-74=13', '13-9=4']
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,58 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[59, 22], Operations: ['74-9=65', '87-65=22']
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,58 unequal: No Solution
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[59, 22], Operations: ['87-74=13', '9+13=22']
Exploring Operation: 59*22=1298, Resulting Numbers: [1298]
1298,58 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 59+22=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[65, 28], Operations: ['74-9=65', '87-59=28']
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Exploring Operation: 65*28=1820, Resulting Numbers: [1820]
1820,58 unequal: No Solution
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[9, 46], Operations: ['87-74=13', '59-13=46']
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,58 unequal: No Solution
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[13, 50], Operations: ['87-74=13', '59-9=50']
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,58 unequal: No Solution
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,58 unequal: No Solution
Moving to Node #0,3,2
Current State: 58:[87, 6], Operations: ['74-9=65', '65-59=6']
Exploring Operation: 87*6=522, Resulting Numbers: [522]
522,58 unequal: No Solution
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[65, 146], Operations: ['74-9=65', '87+59=146']
Exploring Operation: 65+146=211, Resulting Numbers: [211]
211,58 unequal: No Solution
Exploring Operation: 146-65=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Exploring Operation: 65*146=9490, Resulting Numbers: [9490]
9490,58 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
45,
64,
29,
5
] | 66 | [
"64-45=19",
"5*19=95",
"95-29=66"
] | Current State: 66:[45, 64, 29, 5], Operations: []
Exploring Operation: 64-45=19, Resulting Numbers: [29, 5, 19]
Generated Node #2: [29, 5, 19] from Operation: 64-45=19
Current State: 66:[29, 5, 19], Operations: ['64-45=19']
Exploring Operation: 5*19=95, Resulting Numbers: [29, 95]
Generated Node #3: [29, 95] from Operation: 5*19=95
Current State: 66:[29, 95], Operations: ['64-45=19', '5*19=95']
Exploring Operation: 95-29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[45, 64, 29, 5], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [64, 5, 16]
Generated Node #0,0: 66:[64, 5, 16] Operation: 45-29=16
Exploring Operation: 64-45=19, Resulting Numbers: [29, 5, 19]
Generated Node #0,1: 66:[29, 5, 19] Operation: 64-45=19
Exploring Operation: 45+29=74, Resulting Numbers: [64, 5, 74]
Generated Node #0,2: 66:[64, 5, 74] Operation: 45+29=74
Exploring Operation: 45-5=40, Resulting Numbers: [64, 29, 40]
Generated Node #0,3: 66:[64, 29, 40] Operation: 45-5=40
Exploring Operation: 45/5=9, Resulting Numbers: [64, 29, 9]
Generated Node #0,4: 66:[64, 29, 9] Operation: 45/5=9
Moving to Node #0,0
Current State: 66:[64, 5, 16], Operations: ['45-29=16']
Exploring Operation: 64-5=59, Resulting Numbers: [16, 59]
Generated Node #0,0,0: 66:[16, 59] Operation: 64-5=59
Exploring Operation: 16-5=11, Resulting Numbers: [64, 11]
Generated Node #0,0,1: 66:[64, 11] Operation: 16-5=11
Exploring Operation: 64/16=4, Resulting Numbers: [5, 4]
Generated Node #0,0,2: 66:[5, 4] Operation: 64/16=4
Exploring Operation: 5+16=21, Resulting Numbers: [64, 21]
Generated Node #0,0,3: 66:[64, 21] Operation: 5+16=21
Exploring Operation: 64+5=69, Resulting Numbers: [16, 69]
Generated Node #0,0,4: 66:[16, 69] Operation: 64+5=69
Moving to Node #0,4
Current State: 66:[64, 29, 9], Operations: ['45/5=9']
Exploring Operation: 29+9=38, Resulting Numbers: [64, 38]
Generated Node #0,4,0: 66:[64, 38] Operation: 29+9=38
Exploring Operation: 64-9=55, Resulting Numbers: [29, 55]
Generated Node #0,4,1: 66:[29, 55] Operation: 64-9=55
Exploring Operation: 64-29=35, Resulting Numbers: [9, 35]
Generated Node #0,4,2: 66:[9, 35] Operation: 64-29=35
Exploring Operation: 29-9=20, Resulting Numbers: [64, 20]
Generated Node #0,4,3: 66:[64, 20] Operation: 29-9=20
Exploring Operation: 64+9=73, Resulting Numbers: [29, 73]
Generated Node #0,4,4: 66:[29, 73] Operation: 64+9=73
Moving to Node #0,1
Current State: 66:[29, 5, 19], Operations: ['64-45=19']
Exploring Operation: 29-5=24, Resulting Numbers: [19, 24]
Generated Node #0,1,0: 66:[19, 24] Operation: 29-5=24
Exploring Operation: 19-5=14, Resulting Numbers: [29, 14]
Generated Node #0,1,1: 66:[29, 14] Operation: 19-5=14
Exploring Operation: 5+19=24, Resulting Numbers: [29, 24]
Generated Node #0,1,2: 66:[29, 24] Operation: 5+19=24
Exploring Operation: 29-19=10, Resulting Numbers: [5, 10]
Generated Node #0,1,3: 66:[5, 10] Operation: 29-19=10
Exploring Operation: 29+5=34, Resulting Numbers: [19, 34]
Generated Node #0,1,4: 66:[19, 34] Operation: 29+5=34
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[5, 10], Operations: ['64-45=19', '29-19=10']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 66:[19, 34], Operations: ['64-45=19', '29+5=34']
Exploring Operation: 19*34=646, Resulting Numbers: [646]
646,66 unequal: No Solution
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[19, 24], Operations: ['64-45=19', '29-5=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,66 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[29, 24], Operations: ['64-45=19', '5+19=24']
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,66 unequal: No Solution
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[29, 14], Operations: ['64-45=19', '19-5=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,66 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,66 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,66 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: 66:[64, 5, 74], Operations: ['45+29=74']
Exploring Operation: 74-5=69, Resulting Numbers: [64, 69]
Generated Node #0,2,0: 66:[64, 69] Operation: 74-5=69
Exploring Operation: 74-64=10, Resulting Numbers: [5, 10]
Generated Node #0,2,1: 66:[5, 10] Operation: 74-64=10
Exploring Operation: 64-5=59, Resulting Numbers: [74, 59]
Generated Node #0,2,2: 66:[74, 59] Operation: 64-5=59
Exploring Operation: 64+5=69, Resulting Numbers: [74, 69]
Generated Node #0,2,3: 66:[74, 69] Operation: 64+5=69
Exploring Operation: 5+74=79, Resulting Numbers: [64, 79]
Generated Node #0,2,4: 66:[64, 79] Operation: 5+74=79
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 66:[5, 10], Operations: ['45+29=74', '74-64=10']
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[64, 69], Operations: ['45+29=74', '74-5=69']
Exploring Operation: 64+69=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 64*69=4416, Resulting Numbers: [4416]
4416,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 66:[74, 69], Operations: ['45+29=74', '64+5=69']
Exploring Operation: 74*69=5106, Resulting Numbers: [5106]
5106,66 unequal: No Solution
Exploring Operation: 74-69=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 74+69=143, Resulting Numbers: [143]
143,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 66:[74, 59], Operations: ['45+29=74', '64-5=59']
Exploring Operation: 74*59=4366, Resulting Numbers: [4366]
4366,66 unequal: No Solution
Exploring Operation: 74-59=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 74+59=133, Resulting Numbers: [133]
133,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 66:[64, 79], Operations: ['45+29=74', '5+74=79']
Exploring Operation: 64*79=5056, Resulting Numbers: [5056]
5056,66 unequal: No Solution
Exploring Operation: 64+79=143, Resulting Numbers: [143]
143,66 unequal: No Solution
Exploring Operation: 79-64=15, Resulting Numbers: [15]
15,66 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: 66:[64, 29, 40], Operations: ['45-5=40']
Exploring Operation: 64+29=93, Resulting Numbers: [40, 93]
Generated Node #0,3,0: 66:[40, 93] Operation: 64+29=93
Exploring Operation: 64-40=24, Resulting Numbers: [29, 24]
Generated Node #0,3,1: 66:[29, 24] Operation: 64-40=24
Exploring Operation: 64-29=35, Resulting Numbers: [40, 35]
Generated Node #0,3,2: 66:[40, 35] Operation: 64-29=35
Exploring Operation: 29+40=69, Resulting Numbers: [64, 69]
Generated Node #0,3,3: 66:[64, 69] Operation: 29+40=69
Exploring Operation: 40-29=11, Resulting Numbers: [64, 11]
Generated Node #0,3,4: 66:[64, 11] Operation: 40-29=11
Moving to Node #0,0,1
Current State: 66:[64, 11], Operations: ['45-29=16', '16-5=11']
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,66 unequal: No Solution
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[5, 4], Operations: ['45-29=16', '64/16=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,66 unequal: No Solution
Moving to Node #0,3,4
Current State: 66:[64, 11], Operations: ['45-5=40', '40-29=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,66 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[64, 21], Operations: ['45-29=16', '5+16=21']
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,66 unequal: No Solution
Exploring Operation: 64*21=1344, Resulting Numbers: [1344]
1344,66 unequal: No Solution
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,66 unequal: No Solution
Moving to Node #0,4,3
Current State: 66:[64, 20], Operations: ['45/5=9', '29-9=20']
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,66 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,66 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,66 unequal: No Solution
Moving to Node #0,4,2
Current State: 66:[9, 35], Operations: ['45/5=9', '64-29=35']
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,66 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,66 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[64, 69], Operations: ['45-5=40', '29+40=69']
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 64+69=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 64*69=4416, Resulting Numbers: [4416]
4416,66 unequal: No Solution
Moving to Node #0,3,1
Current State: 66:[29, 24], Operations: ['45-5=40', '64-40=24']
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,66 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,4,0
Current State: 66:[64, 38], Operations: ['45/5=9', '29+9=38']
Exploring Operation: 64-38=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 64+38=102, Resulting Numbers: [102]
102,66 unequal: No Solution
Exploring Operation: 64*38=2432, Resulting Numbers: [2432]
2432,66 unequal: No Solution
Moving to Node #0,0,4
Current State: 66:[16, 69], Operations: ['45-29=16', '64+5=69']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 16*69=1104, Resulting Numbers: [1104]
1104,66 unequal: No Solution
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[40, 35], Operations: ['45-5=40', '64-29=35']
Exploring Operation: 40+35=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 40-35=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 40*35=1400, Resulting Numbers: [1400]
1400,66 unequal: No Solution
Moving to Node #0,4,4
Current State: 66:[29, 73], Operations: ['45/5=9', '64+9=73']
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,66 unequal: No Solution
Exploring Operation: 29+73=102, Resulting Numbers: [102]
102,66 unequal: No Solution
Exploring Operation: 29*73=2117, Resulting Numbers: [2117]
2117,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[16, 59], Operations: ['45-29=16', '64-5=59']
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,66 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,66 unequal: No Solution
Moving to Node #0,4,1
Current State: 66:[29, 55], Operations: ['45/5=9', '64-9=55']
Exploring Operation: 29*55=1595, Resulting Numbers: [1595]
1595,66 unequal: No Solution
Exploring Operation: 29+55=84, Resulting Numbers: [84]
84,66 unequal: No Solution
Exploring Operation: 55-29=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[40, 93], Operations: ['45-5=40', '64+29=93']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,66 unequal: No Solution
Exploring Operation: 40+93=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 40*93=3720, Resulting Numbers: [3720]
3720,66 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
73,
35,
44,
22
] | 19 | [
"73-35=38",
"44/22=2",
"38/2=19"
] | Current State: 19:[73, 35, 44, 22], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [44, 22, 38]
Generated Node #2: [44, 22, 38] from Operation: 73-35=38
Current State: 19:[44, 22, 38], Operations: ['73-35=38']
Exploring Operation: 44/22=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 44/22=2
Current State: 19:[38, 2], Operations: ['73-35=38', '44/22=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[73, 35, 44, 22], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [44, 22, 38]
Generated Node #0,0: 19:[44, 22, 38] Operation: 73-35=38
Exploring Operation: 73-44=29, Resulting Numbers: [35, 22, 29]
Generated Node #0,1: 19:[35, 22, 29] Operation: 73-44=29
Exploring Operation: 73-22=51, Resulting Numbers: [35, 44, 51]
Generated Node #0,2: 19:[35, 44, 51] Operation: 73-22=51
Exploring Operation: 44-35=9, Resulting Numbers: [73, 22, 9]
Generated Node #0,3: 19:[73, 22, 9] Operation: 44-35=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[35, 22, 29], Operations: ['73-44=29']
Exploring Operation: 35-29=6, Resulting Numbers: [22, 6]
Generated Node #0,1,0: 19:[22, 6] Operation: 35-29=6
Exploring Operation: 35+22=57, Resulting Numbers: [29, 57]
Generated Node #0,1,1: 19:[29, 57] Operation: 35+22=57
Exploring Operation: 35-22=13, Resulting Numbers: [29, 13]
Generated Node #0,1,2: 19:[29, 13] Operation: 35-22=13
Exploring Operation: 29-22=7, Resulting Numbers: [35, 7]
Generated Node #0,1,3: 19:[35, 7] Operation: 29-22=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[22, 6], Operations: ['73-44=29', '35-29=6']
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,19 unequal: No Solution
No 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: 19:[29, 13], Operations: ['73-44=29', '35-22=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,19 unequal: No Solution
No 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: 19:[35, 7], Operations: ['73-44=29', '29-22=7']
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 35*7=245, Resulting Numbers: [245]
245,19 unequal: No Solution
No 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: 19:[29, 57], Operations: ['73-44=29', '35+22=57']
Exploring Operation: 29+57=86, Resulting Numbers: [86]
86,19 unequal: No Solution
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 29*57=1653, Resulting Numbers: [1653]
1653,19 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: 19:[44, 22, 38], Operations: ['73-35=38']
Exploring Operation: 38-22=16, Resulting Numbers: [44, 16]
Generated Node #0,0,0: 19:[44, 16] Operation: 38-22=16
Exploring Operation: 44-38=6, Resulting Numbers: [22, 6]
Generated Node #0,0,1: 19:[22, 6] Operation: 44-38=6
Exploring Operation: 44-22=22, Resulting Numbers: [38, 22]
Generated Node #0,0,2: 19:[38, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [38, 2]
Generated Node #0,0,3: 19:[38, 2] Operation: 44/22=2
Moving to Node #0,0,1
Current State: 19:[22, 6], Operations: ['73-35=38', '44-38=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[38, 22], Operations: ['73-35=38', '44-22=22']
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,19 unequal: No Solution
Exploring Operation: 38*22=836, Resulting Numbers: [836]
836,19 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[44, 16], Operations: ['73-35=38', '38-22=16']
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,19 unequal: No Solution
Exploring Operation: 44*16=704, Resulting Numbers: [704]
704,19 unequal: No Solution
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,0,3
Current State: 19:[38, 2], Operations: ['73-35=38', '44/22=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[73, 35, 44, 22], Operations: []
Exploring Operation: 73-35=38, Resulting Numbers: [44, 22, 38]
Generated Node #0,0: 19:[44, 22, 38] Operation: 73-35=38
Moving to Node #0,0
Current State: 19:[44, 22, 38], Operations: ['73-35=38']
Exploring Operation: 44/22=2, Resulting Numbers: [38, 2]
Generated Node #0,0,3: 19:[38, 2] Operation: 44/22=2
Moving to Node #0,0,3
Current State: 19:[38, 2], Operations: ['73-35=38', '44/22=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_4 | mult_heuristic |
[
17,
9,
7,
68
] | 53 | [
"17-9=8",
"68-7=61",
"61-8=53"
] | Current State: 53:[17, 9, 7, 68], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [7, 68, 8]
Generated Node #2: [7, 68, 8] from Operation: 17-9=8
Current State: 53:[7, 68, 8], Operations: ['17-9=8']
Exploring Operation: 68-7=61, Resulting Numbers: [8, 61]
Generated Node #3: [8, 61] from Operation: 68-7=61
Current State: 53:[8, 61], Operations: ['17-9=8', '68-7=61']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[17, 9, 7, 68], Operations: []
Exploring Operation: 17+9=26, Resulting Numbers: [7, 68, 26]
Generated Node #0,0: 53:[7, 68, 26] Operation: 17+9=26
Exploring Operation: 9*7=63, Resulting Numbers: [17, 68, 63]
Generated Node #0,1: 53:[17, 68, 63] Operation: 9*7=63
Exploring Operation: 17+7=24, Resulting Numbers: [9, 68, 24]
Generated Node #0,2: 53:[9, 68, 24] Operation: 17+7=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[17, 68, 63], Operations: ['9*7=63']
Exploring Operation: 68-17=51, Resulting Numbers: [63, 51]
Generated Node #0,1,0: 53:[63, 51] Operation: 68-17=51
Exploring Operation: 63-17=46, Resulting Numbers: [68, 46]
Generated Node #0,1,1: 53:[68, 46] Operation: 63-17=46
Exploring Operation: 17+68=85, Resulting Numbers: [63, 85]
Generated Node #0,1,2: 53:[63, 85] Operation: 17+68=85
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[63, 51], Operations: ['9*7=63', '68-17=51']
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Exploring Operation: 63*51=3213, Resulting Numbers: [3213]
3213,53 unequal: No Solution
Exploring Operation: 63+51=114, Resulting Numbers: [114]
114,53 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:[68, 46], Operations: ['9*7=63', '63-17=46']
Exploring Operation: 68*46=3128, Resulting Numbers: [3128]
3128,53 unequal: No Solution
Exploring Operation: 68+46=114, Resulting Numbers: [114]
114,53 unequal: No Solution
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,53 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:[63, 85], Operations: ['9*7=63', '17+68=85']
Exploring Operation: 63*85=5355, Resulting Numbers: [5355]
5355,53 unequal: No Solution
Exploring Operation: 63+85=148, Resulting Numbers: [148]
148,53 unequal: No Solution
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,53 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 #0,0
Current State: 53:[7, 68, 26], Operations: ['17+9=26']
Exploring Operation: 7+68=75, Resulting Numbers: [26, 75]
Generated Node #0,0,0: 53:[26, 75] Operation: 7+68=75
Exploring Operation: 7+26=33, Resulting Numbers: [68, 33]
Generated Node #0,0,1: 53:[68, 33] Operation: 7+26=33
Exploring Operation: 68-7=61, Resulting Numbers: [26, 61]
Generated Node #0,0,2: 53:[26, 61] Operation: 68-7=61
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[68, 33], Operations: ['17+9=26', '7+26=33']
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,53 unequal: No Solution
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,53 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:[26, 61], Operations: ['17+9=26', '68-7=61']
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 26+61=87, Resulting Numbers: [87]
87,53 unequal: No Solution
Exploring Operation: 26*61=1586, Resulting Numbers: [1586]
1586,53 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 #0,0,0
Current State: 53:[26, 75], Operations: ['17+9=26', '7+68=75']
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,53 unequal: No Solution
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,53 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:[9, 68, 24], Operations: ['17+7=24']
Exploring Operation: 9+68=77, Resulting Numbers: [24, 77]
Generated Node #0,2,0: 53:[24, 77] Operation: 9+68=77
Exploring Operation: 68-9=59, Resulting Numbers: [24, 59]
Generated Node #0,2,1: 53:[24, 59] Operation: 68-9=59
Exploring Operation: 9+24=33, Resulting Numbers: [68, 33]
Generated Node #0,2,2: 53:[68, 33] Operation: 9+24=33
Moving to Node #0,2,1
Current State: 53:[24, 59], Operations: ['17+7=24', '68-9=59']
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 24+59=83, Resulting Numbers: [83]
83,53 unequal: No Solution
Exploring Operation: 24*59=1416, Resulting Numbers: [1416]
1416,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[68, 33], Operations: ['17+7=24', '9+24=33']
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,53 unequal: No Solution
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[24, 77], Operations: ['17+7=24', '9+68=77']
Exploring Operation: 24*77=1848, Resulting Numbers: [1848]
1848,53 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[17, 9, 7, 68], Operations: []
Exploring Operation: 17+7=24, Resulting Numbers: [9, 68, 24]
Generated Node #0,2: 53:[9, 68, 24] Operation: 17+7=24
Moving to Node #0,2
Current State: 53:[9, 68, 24], Operations: ['17+7=24']
Exploring Operation: 9+68=77, Resulting Numbers: [24, 77]
Generated Node #0,2,0: 53:[24, 77] Operation: 9+68=77
Moving to Node #0,2,0
Current State: 53:[24, 77], Operations: ['17+7=24', '9+68=77']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_3 | mult_heuristic |
[
11,
66,
27,
12
] | 40 | [
"66-11=55",
"27-12=15",
"55-15=40"
] | Current State: 40:[11, 66, 27, 12], Operations: []
Exploring Operation: 66-11=55, Resulting Numbers: [27, 12, 55]
Generated Node #2: [27, 12, 55] from Operation: 66-11=55
Current State: 40:[27, 12, 55], Operations: ['66-11=55']
Exploring Operation: 27-12=15, Resulting Numbers: [55, 15]
Generated Node #3: [55, 15] from Operation: 27-12=15
Current State: 40:[55, 15], Operations: ['66-11=55', '27-12=15']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[11, 66, 27, 12], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [27, 12, 6]
Generated Node #0,0: 40:[27, 12, 6] Operation: 66/11=6
Exploring Operation: 66-27=39, Resulting Numbers: [11, 12, 39]
Generated Node #0,1: 40:[11, 12, 39] Operation: 66-27=39
Exploring Operation: 66-11=55, Resulting Numbers: [27, 12, 55]
Generated Node #0,2: 40:[27, 12, 55] Operation: 66-11=55
Exploring Operation: 66-12=54, Resulting Numbers: [11, 27, 54]
Generated Node #0,3: 40:[11, 27, 54] Operation: 66-12=54
Exploring Operation: 27+12=39, Resulting Numbers: [11, 66, 39]
Generated Node #0,4: 40:[11, 66, 39] Operation: 27+12=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[11, 12, 39], Operations: ['66-27=39']
Exploring Operation: 12-11=1, Resulting Numbers: [39, 1]
Generated Node #0,1,0: 40:[39, 1] Operation: 12-11=1
Exploring Operation: 39-12=27, Resulting Numbers: [11, 27]
Generated Node #0,1,1: 40:[11, 27] Operation: 39-12=27
Exploring Operation: 11+39=50, Resulting Numbers: [12, 50]
Generated Node #0,1,2: 40:[12, 50] Operation: 11+39=50
Exploring Operation: 39-11=28, Resulting Numbers: [12, 28]
Generated Node #0,1,3: 40:[12, 28] Operation: 39-11=28
Exploring Operation: 11+12=23, Resulting Numbers: [39, 23]
Generated Node #0,1,4: 40:[39, 23] Operation: 11+12=23
Moving to Node #0,1,0
Current State: 40:[39, 1], Operations: ['66-27=39', '12-11=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,40 unequal: No Solution
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,40 unequal: No Solution
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[11, 66, 27, 12], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [11, 12, 39]
Generated Node #0,1: 40:[11, 12, 39] Operation: 66-27=39
Moving to Node #0,1
Current State: 40:[11, 12, 39], Operations: ['66-27=39']
Exploring Operation: 12-11=1, Resulting Numbers: [39, 1]
Generated Node #0,1,0: 40:[39, 1] Operation: 12-11=1
Moving to Node #0,1,0
Current State: 40:[39, 1], Operations: ['66-27=39', '12-11=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
30,
9,
46,
5
] | 95 | [
"30*5=150",
"9+46=55",
"150-55=95"
] | Current State: 95:[30, 9, 46, 5], Operations: []
Exploring Operation: 30*5=150, Resulting Numbers: [9, 46, 150]
Generated Node #2: [9, 46, 150] from Operation: 30*5=150
Current State: 95:[9, 46, 150], Operations: ['30*5=150']
Exploring Operation: 9+46=55, Resulting Numbers: [150, 55]
Generated Node #3: [150, 55] from Operation: 9+46=55
Current State: 95:[150, 55], Operations: ['30*5=150', '9+46=55']
Exploring Operation: 150-55=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[30, 9, 46, 5], Operations: []
Exploring Operation: 46-30=16, Resulting Numbers: [9, 5, 16]
Generated Node #0,0: 95:[9, 5, 16] Operation: 46-30=16
Exploring Operation: 30+46=76, Resulting Numbers: [9, 5, 76]
Generated Node #0,1: 95:[9, 5, 76] Operation: 30+46=76
Exploring Operation: 30-9=21, Resulting Numbers: [46, 5, 21]
Generated Node #0,2: 95:[46, 5, 21] Operation: 30-9=21
Exploring Operation: 46-9=37, Resulting Numbers: [30, 5, 37]
Generated Node #0,3: 95:[30, 5, 37] Operation: 46-9=37
Moving to Node #0,0
Current State: 95:[9, 5, 16], Operations: ['46-30=16']
Exploring Operation: 5+16=21, Resulting Numbers: [9, 21]
Generated Node #0,0,0: 95:[9, 21] Operation: 5+16=21
Exploring Operation: 9+16=25, Resulting Numbers: [5, 25]
Generated Node #0,0,1: 95:[5, 25] Operation: 9+16=25
Exploring Operation: 9-5=4, Resulting Numbers: [16, 4]
Generated Node #0,0,2: 95:[16, 4] Operation: 9-5=4
Exploring Operation: 16-9=7, Resulting Numbers: [5, 7]
Generated Node #0,0,3: 95:[5, 7] Operation: 16-9=7
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[5, 7], Operations: ['46-30=16', '16-9=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[16, 4], Operations: ['46-30=16', '9-5=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,95 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[9, 21], Operations: ['46-30=16', '5+16=21']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[5, 25], Operations: ['46-30=16', '9+16=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 95:[9, 5, 76], Operations: ['30+46=76']
Exploring Operation: 9+76=85, Resulting Numbers: [5, 85]
Generated Node #0,1,0: 95:[5, 85] Operation: 9+76=85
Exploring Operation: 5+76=81, Resulting Numbers: [9, 81]
Generated Node #0,1,1: 95:[9, 81] Operation: 5+76=81
Exploring Operation: 9-5=4, Resulting Numbers: [76, 4]
Generated Node #0,1,2: 95:[76, 4] Operation: 9-5=4
Exploring Operation: 9+5=14, Resulting Numbers: [76, 14]
Generated Node #0,1,3: 95:[76, 14] Operation: 9+5=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[5, 85], Operations: ['30+46=76', '9+76=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,95 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[9, 81], Operations: ['30+46=76', '5+76=81']
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,95 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[76, 4], Operations: ['30+46=76', '9-5=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,95 unequal: No Solution
Exploring Operation: 76*4=304, Resulting Numbers: [304]
304,95 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 95:[76, 14], Operations: ['30+46=76', '9+5=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 95:[30, 5, 37], Operations: ['46-9=37']
Exploring Operation: 30-5=25, Resulting Numbers: [37, 25]
Generated Node #0,3,0: 95:[37, 25] Operation: 30-5=25
Exploring Operation: 30/5=6, Resulting Numbers: [37, 6]
Generated Node #0,3,1: 95:[37, 6] Operation: 30/5=6
Exploring Operation: 37-5=32, Resulting Numbers: [30, 32]
Generated Node #0,3,2: 95:[30, 32] Operation: 37-5=32
Exploring Operation: 37-30=7, Resulting Numbers: [5, 7]
Generated Node #0,3,3: 95:[5, 7] Operation: 37-30=7
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 95:[5, 7], Operations: ['46-9=37', '37-30=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 95:[37, 6], Operations: ['46-9=37', '30/5=6']
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,95 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[37, 25], Operations: ['46-9=37', '30-5=25']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 37*25=925, Resulting Numbers: [925]
925,95 unequal: No Solution
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 95:[30, 32], Operations: ['46-9=37', '37-5=32']
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 30*32=960, Resulting Numbers: [960]
960,95 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: 95:[46, 5, 21], Operations: ['30-9=21']
Exploring Operation: 21-5=16, Resulting Numbers: [46, 16]
Generated Node #0,2,0: 95:[46, 16] Operation: 21-5=16
Exploring Operation: 46+21=67, Resulting Numbers: [5, 67]
Generated Node #0,2,1: 95:[5, 67] Operation: 46+21=67
Exploring Operation: 46-5=41, Resulting Numbers: [21, 41]
Generated Node #0,2,2: 95:[21, 41] Operation: 46-5=41
Exploring Operation: 46-21=25, Resulting Numbers: [5, 25]
Generated Node #0,2,3: 95:[5, 25] Operation: 46-21=25
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 95:[5, 25], Operations: ['30-9=21', '46-21=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,95 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[21, 41], Operations: ['30-9=21', '46-5=41']
Exploring Operation: 21*41=861, Resulting Numbers: [861]
861,95 unequal: No Solution
Exploring Operation: 21+41=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 41-21=20, Resulting Numbers: [20]
20,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[5, 67], Operations: ['30-9=21', '46+21=67']
Exploring Operation: 5*67=335, Resulting Numbers: [335]
335,95 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,95 unequal: No Solution
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[46, 16], Operations: ['30-9=21', '21-5=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,95 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,95 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 |
[
3,
75,
81,
47
] | 29 | [
"81-75=6",
"3*6=18",
"47-18=29"
] | Current State: 29:[3, 75, 81, 47], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [3, 47, 6]
Generated Node #2: [3, 47, 6] from Operation: 81-75=6
Current State: 29:[3, 47, 6], Operations: ['81-75=6']
Exploring Operation: 3*6=18, Resulting Numbers: [47, 18]
Generated Node #3: [47, 18] from Operation: 3*6=18
Current State: 29:[47, 18], Operations: ['81-75=6', '3*6=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[3, 75, 81, 47], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [75, 47, 27]
Generated Node #0,0: 29:[75, 47, 27] Operation: 81/3=27
Exploring Operation: 81-75=6, Resulting Numbers: [3, 47, 6]
Generated Node #0,1: 29:[3, 47, 6] Operation: 81-75=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[75, 47, 27], Operations: ['81/3=27']
Exploring Operation: 75-27=48, Resulting Numbers: [47, 48]
Generated Node #0,0,0: 29:[47, 48] Operation: 75-27=48
Exploring Operation: 75-47=28, Resulting Numbers: [27, 28]
Generated Node #0,0,1: 29:[27, 28] Operation: 75-47=28
Moving to Node #0,0,1
Current State: 29:[27, 28], Operations: ['81/3=27', '75-47=28']
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[47, 48], Operations: ['81/3=27', '75-27=48']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[3, 47, 6], Operations: ['81-75=6']
Exploring Operation: 3*6=18, Resulting Numbers: [47, 18]
Generated Node #0,1,0: 29:[47, 18] Operation: 3*6=18
Exploring Operation: 47-3=44, Resulting Numbers: [6, 44]
Generated Node #0,1,1: 29:[6, 44] Operation: 47-3=44
Moving to Node #0,1,0
Current State: 29:[47, 18], Operations: ['81-75=6', '3*6=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[3, 75, 81, 47], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [3, 47, 6]
Generated Node #0,1: 29:[3, 47, 6] Operation: 81-75=6
Moving to Node #0,1
Current State: 29:[3, 47, 6], Operations: ['81-75=6']
Exploring Operation: 3*6=18, Resulting Numbers: [47, 18]
Generated Node #0,1,0: 29:[47, 18] Operation: 3*6=18
Moving to Node #0,1,0
Current State: 29:[47, 18], Operations: ['81-75=6', '3*6=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
1,
47,
84,
92
] | 55 | [
"1*47=47",
"92-84=8",
"47+8=55"
] | Current State: 55:[1, 47, 84, 92], Operations: []
Exploring Operation: 1*47=47, Resulting Numbers: [84, 92, 47]
Generated Node #2: [84, 92, 47] from Operation: 1*47=47
Current State: 55:[84, 92, 47], Operations: ['1*47=47']
Exploring Operation: 92-84=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 92-84=8
Current State: 55:[47, 8], Operations: ['1*47=47', '92-84=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[1, 47, 84, 92], Operations: []
Exploring Operation: 92-47=45, Resulting Numbers: [1, 84, 45]
Generated Node #0,0: 55:[1, 84, 45] Operation: 92-47=45
Exploring Operation: 92-84=8, Resulting Numbers: [1, 47, 8]
Generated Node #0,1: 55:[1, 47, 8] Operation: 92-84=8
Exploring Operation: 84-47=37, Resulting Numbers: [1, 92, 37]
Generated Node #0,2: 55:[1, 92, 37] Operation: 84-47=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[1, 47, 8], Operations: ['92-84=8']
Exploring Operation: 1+8=9, Resulting Numbers: [47, 9]
Generated Node #0,1,0: 55:[47, 9] Operation: 1+8=9
Exploring Operation: 1+47=48, Resulting Numbers: [8, 48]
Generated Node #0,1,1: 55:[8, 48] Operation: 1+47=48
Exploring Operation: 47+8=55, Resulting Numbers: [1, 55]
Generated Node #0,1,2: 55:[1, 55] Operation: 47+8=55
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 55:[1, 55], Operations: ['92-84=8', '47+8=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[1, 47, 84, 92], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [1, 47, 8]
Generated Node #0,1: 55:[1, 47, 8] Operation: 92-84=8
Moving to Node #0,1
Current State: 55:[1, 47, 8], Operations: ['92-84=8']
Exploring Operation: 47+8=55, Resulting Numbers: [1, 55]
Generated Node #0,1,2: 55:[1, 55] Operation: 47+8=55
Moving to Node #0,1,2
Current State: 55:[1, 55], Operations: ['92-84=8', '47+8=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
17,
39,
47,
78
] | 28 | [
"47-17=30",
"78/39=2",
"30-2=28"
] | Current State: 28:[17, 39, 47, 78], Operations: []
Exploring Operation: 47-17=30, Resulting Numbers: [39, 78, 30]
Generated Node #2: [39, 78, 30] from Operation: 47-17=30
Current State: 28:[39, 78, 30], Operations: ['47-17=30']
Exploring Operation: 78/39=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 78/39=2
Current State: 28:[30, 2], Operations: ['47-17=30', '78/39=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[17, 39, 47, 78], Operations: []
Exploring Operation: 78-47=31, Resulting Numbers: [17, 39, 31]
Generated Node #0,0: 28:[17, 39, 31] Operation: 78-47=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[17, 39, 31], Operations: ['78-47=31']
Exploring Operation: 39-31=8, Resulting Numbers: [17, 8]
Generated Node #0,0,0: 28:[17, 8] Operation: 39-31=8
Moving to Node #0,0,0
Current State: 28:[17, 8], Operations: ['78-47=31', '39-31=8']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,28 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 |
[
92,
92,
75,
20
] | 54 | [
"92/92=1",
"75-20=55",
"55-1=54"
] | Current State: 54:[92, 92, 75, 20], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [75, 20, 1]
Generated Node #2: [75, 20, 1] from Operation: 92/92=1
Current State: 54:[75, 20, 1], Operations: ['92/92=1']
Exploring Operation: 75-20=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 75-20=55
Current State: 54:[1, 55], Operations: ['92/92=1', '75-20=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[92, 92, 75, 20], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [75, 20, 0]
Generated Node #0,0: 54:[75, 20, 0] Operation: 92-92=0
Exploring Operation: 92/92=1, Resulting Numbers: [75, 20, 1]
Generated Node #0,1: 54:[75, 20, 1] Operation: 92/92=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[75, 20, 1], Operations: ['92/92=1']
Exploring Operation: 75-1=74, Resulting Numbers: [20, 74]
Generated Node #0,1,0: 54:[20, 74] Operation: 75-1=74
Exploring Operation: 75-20=55, Resulting Numbers: [1, 55]
Generated Node #0,1,1: 54:[1, 55] Operation: 75-20=55
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[1, 55], Operations: ['92/92=1', '75-20=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[92, 92, 75, 20], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [75, 20, 1]
Generated Node #0,1: 54:[75, 20, 1] Operation: 92/92=1
Moving to Node #0,1
Current State: 54:[75, 20, 1], Operations: ['92/92=1']
Exploring Operation: 75-20=55, Resulting Numbers: [1, 55]
Generated Node #0,1,1: 54:[1, 55] Operation: 75-20=55
Moving to Node #0,1,1
Current State: 54:[1, 55], Operations: ['92/92=1', '75-20=55']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
47,
70,
76,
4
] | 57 | [
"70-47=23",
"76+4=80",
"80-23=57"
] | Current State: 57:[47, 70, 76, 4], Operations: []
Exploring Operation: 70-47=23, Resulting Numbers: [76, 4, 23]
Generated Node #2: [76, 4, 23] from Operation: 70-47=23
Current State: 57:[76, 4, 23], Operations: ['70-47=23']
Exploring Operation: 76+4=80, Resulting Numbers: [23, 80]
Generated Node #3: [23, 80] from Operation: 76+4=80
Current State: 57:[23, 80], Operations: ['70-47=23', '76+4=80']
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[47, 70, 76, 4], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [47, 4, 6]
Generated Node #0,0: 57:[47, 4, 6] Operation: 76-70=6
Exploring Operation: 76/4=19, Resulting Numbers: [47, 70, 19]
Generated Node #0,1: 57:[47, 70, 19] Operation: 76/4=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[47, 4, 6], Operations: ['76-70=6']
Exploring Operation: 47+6=53, Resulting Numbers: [4, 53]
Generated Node #0,0,0: 57:[4, 53] Operation: 47+6=53
Exploring Operation: 47+4=51, Resulting Numbers: [6, 51]
Generated Node #0,0,1: 57:[6, 51] Operation: 47+4=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[4, 53], Operations: ['76-70=6', '47+6=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[47, 70, 76, 4], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [47, 4, 6]
Generated Node #0,0: 57:[47, 4, 6] Operation: 76-70=6
Moving to Node #0,0
Current State: 57:[47, 4, 6], Operations: ['76-70=6']
Exploring Operation: 47+6=53, Resulting Numbers: [4, 53]
Generated Node #0,0,0: 57:[4, 53] Operation: 47+6=53
Moving to Node #0,0,0
Current State: 57:[4, 53], Operations: ['76-70=6', '47+6=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
71,
3,
63,
2
] | 61 | [
"3+63=66",
"2*66=132",
"132-71=61"
] | Current State: 61:[71, 3, 63, 2], Operations: []
Exploring Operation: 3+63=66, Resulting Numbers: [71, 2, 66]
Generated Node #2: [71, 2, 66] from Operation: 3+63=66
Current State: 61:[71, 2, 66], Operations: ['3+63=66']
Exploring Operation: 2*66=132, Resulting Numbers: [71, 132]
Generated Node #3: [71, 132] from Operation: 2*66=132
Current State: 61:[71, 132], Operations: ['3+63=66', '2*66=132']
Exploring Operation: 132-71=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[71, 3, 63, 2], Operations: []
Exploring Operation: 63-2=61, Resulting Numbers: [71, 3, 61]
Generated Node #0,0: 61:[71, 3, 61] Operation: 63-2=61
Exploring Operation: 3*2=6, Resulting Numbers: [71, 63, 6]
Generated Node #0,1: 61:[71, 63, 6] Operation: 3*2=6
Exploring Operation: 71-2=69, Resulting Numbers: [3, 63, 69]
Generated Node #0,2: 61:[3, 63, 69] Operation: 71-2=69
Exploring Operation: 3+2=5, Resulting Numbers: [71, 63, 5]
Generated Node #0,3: 61:[71, 63, 5] Operation: 3+2=5
Exploring Operation: 71-3=68, Resulting Numbers: [63, 2, 68]
Generated Node #0,4: 61:[63, 2, 68] Operation: 71-3=68
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[71, 63, 6], Operations: ['3*2=6']
Exploring Operation: 71-63=8, Resulting Numbers: [6, 8]
Generated Node #0,1,0: 61:[6, 8] Operation: 71-63=8
Exploring Operation: 71-6=65, Resulting Numbers: [63, 65]
Generated Node #0,1,1: 61:[63, 65] Operation: 71-6=65
Exploring Operation: 63-6=57, Resulting Numbers: [71, 57]
Generated Node #0,1,2: 61:[71, 57] Operation: 63-6=57
Exploring Operation: 63+6=69, Resulting Numbers: [71, 69]
Generated Node #0,1,3: 61:[71, 69] Operation: 63+6=69
Exploring Operation: 71+6=77, Resulting Numbers: [63, 77]
Generated Node #0,1,4: 61:[63, 77] Operation: 71+6=77
Moving to Node #0,1,1
Current State: 61:[63, 65], Operations: ['3*2=6', '71-6=65']
Exploring Operation: 65-63=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 63+65=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 63*65=4095, Resulting Numbers: [4095]
4095,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[71, 57], Operations: ['3*2=6', '63-6=57']
Exploring Operation: 71*57=4047, Resulting Numbers: [4047]
4047,61 unequal: No Solution
Exploring Operation: 71+57=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 71-57=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[71, 69], Operations: ['3*2=6', '63+6=69']
Exploring Operation: 71*69=4899, Resulting Numbers: [4899]
4899,61 unequal: No Solution
Exploring Operation: 71-69=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 71+69=140, Resulting Numbers: [140]
140,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[63, 77], Operations: ['3*2=6', '71+6=77']
Exploring Operation: 63*77=4851, Resulting Numbers: [4851]
4851,61 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 63+77=140, Resulting Numbers: [140]
140,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[6, 8], Operations: ['3*2=6', '71-63=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[71, 3, 61], Operations: ['63-2=61']
Exploring Operation: 61-3=58, Resulting Numbers: [71, 58]
Generated Node #0,0,0: 61:[71, 58] Operation: 61-3=58
Exploring Operation: 71-3=68, Resulting Numbers: [61, 68]
Generated Node #0,0,1: 61:[61, 68] Operation: 71-3=68
Exploring Operation: 3+61=64, Resulting Numbers: [71, 64]
Generated Node #0,0,2: 61:[71, 64] Operation: 3+61=64
Exploring Operation: 71-61=10, Resulting Numbers: [3, 10]
Generated Node #0,0,3: 61:[3, 10] Operation: 71-61=10
Exploring Operation: 71+3=74, Resulting Numbers: [61, 74]
Generated Node #0,0,4: 61:[61, 74] Operation: 71+3=74
Moving to Node #0,0,1
Current State: 61:[61, 68], Operations: ['63-2=61', '71-3=68']
Exploring Operation: 61+68=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 68-61=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 61*68=4148, Resulting Numbers: [4148]
4148,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[71, 64], Operations: ['63-2=61', '3+61=64']
Exploring Operation: 71+64=135, Resulting Numbers: [135]
135,61 unequal: No Solution
Exploring Operation: 71-64=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 71*64=4544, Resulting Numbers: [4544]
4544,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[71, 58], Operations: ['63-2=61', '61-3=58']
Exploring Operation: 71+58=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 71*58=4118, Resulting Numbers: [4118]
4118,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[61, 74], Operations: ['63-2=61', '71+3=74']
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 61+74=135, Resulting Numbers: [135]
135,61 unequal: No Solution
Exploring Operation: 61*74=4514, Resulting Numbers: [4514]
4514,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[3, 10], Operations: ['63-2=61', '71-61=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[3, 63, 69], Operations: ['71-2=69']
Exploring Operation: 69-3=66, Resulting Numbers: [63, 66]
Generated Node #0,2,0: 61:[63, 66] Operation: 69-3=66
Exploring Operation: 69/3=23, Resulting Numbers: [63, 23]
Generated Node #0,2,1: 61:[63, 23] Operation: 69/3=23
Exploring Operation: 3+63=66, Resulting Numbers: [69, 66]
Generated Node #0,2,2: 61:[69, 66] Operation: 3+63=66
Exploring Operation: 3+69=72, Resulting Numbers: [63, 72]
Generated Node #0,2,3: 61:[63, 72] Operation: 3+69=72
Exploring Operation: 63-3=60, Resulting Numbers: [69, 60]
Generated Node #0,2,4: 61:[69, 60] Operation: 63-3=60
Moving to Node #0,2,0
Current State: 61:[63, 66], Operations: ['71-2=69', '69-3=66']
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 63*66=4158, Resulting Numbers: [4158]
4158,61 unequal: No Solution
Exploring Operation: 63+66=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[69, 60], Operations: ['71-2=69', '63-3=60']
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,61 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[69, 66], Operations: ['71-2=69', '3+63=66']
Exploring Operation: 69*66=4554, Resulting Numbers: [4554]
4554,61 unequal: No Solution
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 69+66=135, Resulting Numbers: [135]
135,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[63, 72], Operations: ['71-2=69', '3+69=72']
Exploring Operation: 63*72=4536, Resulting Numbers: [4536]
4536,61 unequal: No Solution
Exploring Operation: 63+72=135, Resulting Numbers: [135]
135,61 unequal: No Solution
Exploring Operation: 72-63=9, Resulting Numbers: [9]
9,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[63, 23], Operations: ['71-2=69', '69/3=23']
Exploring Operation: 63*23=1449, Resulting Numbers: [1449]
1449,61 unequal: No Solution
Exploring Operation: 63+23=86, Resulting Numbers: [86]
86,61 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[71, 63, 5], Operations: ['3+2=5']
Exploring Operation: 63-5=58, Resulting Numbers: [71, 58]
Generated Node #0,3,0: 61:[71, 58] Operation: 63-5=58
Exploring Operation: 71+5=76, Resulting Numbers: [63, 76]
Generated Node #0,3,1: 61:[63, 76] Operation: 71+5=76
Exploring Operation: 63+5=68, Resulting Numbers: [71, 68]
Generated Node #0,3,2: 61:[71, 68] Operation: 63+5=68
Exploring Operation: 71-63=8, Resulting Numbers: [5, 8]
Generated Node #0,3,3: 61:[5, 8] Operation: 71-63=8
Exploring Operation: 71-5=66, Resulting Numbers: [63, 66]
Generated Node #0,3,4: 61:[63, 66] Operation: 71-5=66
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 61:[63, 66], Operations: ['3+2=5', '71-5=66']
Exploring Operation: 63+66=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 63*66=4158, Resulting Numbers: [4158]
4158,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 61:[71, 58], Operations: ['3+2=5', '63-5=58']
Exploring Operation: 71*58=4118, Resulting Numbers: [4118]
4118,61 unequal: No Solution
Exploring Operation: 71+58=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 61:[63, 76], Operations: ['3+2=5', '71+5=76']
Exploring Operation: 63+76=139, Resulting Numbers: [139]
139,61 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 63*76=4788, Resulting Numbers: [4788]
4788,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 61:[71, 68], Operations: ['3+2=5', '63+5=68']
Exploring Operation: 71+68=139, Resulting Numbers: [139]
139,61 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 71*68=4828, Resulting Numbers: [4828]
4828,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 61:[5, 8], Operations: ['3+2=5', '71-63=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,61 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 61:[63, 2, 68], Operations: ['71-3=68']
Exploring Operation: 68-2=66, Resulting Numbers: [63, 66]
Generated Node #0,4,0: 61:[63, 66] Operation: 68-2=66
Exploring Operation: 63+2=65, Resulting Numbers: [68, 65]
Generated Node #0,4,1: 61:[68, 65] Operation: 63+2=65
Exploring Operation: 2+68=70, Resulting Numbers: [63, 70]
Generated Node #0,4,2: 61:[63, 70] Operation: 2+68=70
Exploring Operation: 68/2=34, Resulting Numbers: [63, 34]
Generated Node #0,4,3: 61:[63, 34] Operation: 68/2=34
Exploring Operation: 63-2=61, Resulting Numbers: [68, 61]
Generated Node #0,4,4: 61:[68, 61] Operation: 63-2=61
Moving to Node #0,4,0
Current State: 61:[63, 66], Operations: ['71-3=68', '68-2=66']
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 63+66=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 63*66=4158, Resulting Numbers: [4158]
4158,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[68, 61], Operations: ['71-3=68', '63-2=61']
Exploring Operation: 68-61=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 68*61=4148, Resulting Numbers: [4148]
4148,61 unequal: No Solution
Exploring Operation: 68+61=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[68, 65], Operations: ['71-3=68', '63+2=65']
Exploring Operation: 68+65=133, Resulting Numbers: [133]
133,61 unequal: No Solution
Exploring Operation: 68*65=4420, Resulting Numbers: [4420]
4420,61 unequal: No Solution
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[63, 70], Operations: ['71-3=68', '2+68=70']
Exploring Operation: 63*70=4410, Resulting Numbers: [4410]
4410,61 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 63+70=133, Resulting Numbers: [133]
133,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[63, 34], Operations: ['71-3=68', '68/2=34']
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,61 unequal: No Solution
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,61 unequal: No Solution
Exploring Operation: 63*34=2142, Resulting Numbers: [2142]
2142,61 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 |
[
23,
86,
91,
42
] | 24 | [
"23+86=109",
"91+42=133",
"133-109=24"
] | Current State: 24:[23, 86, 91, 42], Operations: []
Exploring Operation: 23+86=109, Resulting Numbers: [91, 42, 109]
Generated Node #2: [91, 42, 109] from Operation: 23+86=109
Current State: 24:[91, 42, 109], Operations: ['23+86=109']
Exploring Operation: 91+42=133, Resulting Numbers: [109, 133]
Generated Node #3: [109, 133] from Operation: 91+42=133
Current State: 24:[109, 133], Operations: ['23+86=109', '91+42=133']
Exploring Operation: 133-109=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[23, 86, 91, 42], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [23, 91, 44]
Generated Node #0,0: 24:[23, 91, 44] Operation: 86-42=44
Exploring Operation: 91-86=5, Resulting Numbers: [23, 42, 5]
Generated Node #0,1: 24:[23, 42, 5] Operation: 91-86=5
Exploring Operation: 91-42=49, Resulting Numbers: [23, 86, 49]
Generated Node #0,2: 24:[23, 86, 49] Operation: 91-42=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[23, 42, 5], Operations: ['91-86=5']
Exploring Operation: 23+5=28, Resulting Numbers: [42, 28]
Generated Node #0,1,0: 24:[42, 28] Operation: 23+5=28
Exploring Operation: 42-23=19, Resulting Numbers: [5, 19]
Generated Node #0,1,1: 24:[5, 19] Operation: 42-23=19
Exploring Operation: 42-5=37, Resulting Numbers: [23, 37]
Generated Node #0,1,2: 24:[23, 37] Operation: 42-5=37
Moving to Node #0,1,1
Current State: 24:[5, 19], Operations: ['91-86=5', '42-23=19']
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[23, 86, 91, 42], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [23, 42, 5]
Generated Node #0,1: 24:[23, 42, 5] Operation: 91-86=5
Moving to Node #0,1
Current State: 24:[23, 42, 5], Operations: ['91-86=5']
Exploring Operation: 42-23=19, Resulting Numbers: [5, 19]
Generated Node #0,1,1: 24:[5, 19] Operation: 42-23=19
Moving to Node #0,1,1
Current State: 24:[5, 19], Operations: ['91-86=5', '42-23=19']
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
55,
36,
6,
48
] | 69 | [
"36+48=84",
"84/6=14",
"55+14=69"
] | Current State: 69:[55, 36, 6, 48], Operations: []
Exploring Operation: 36+48=84, Resulting Numbers: [55, 6, 84]
Generated Node #2: [55, 6, 84] from Operation: 36+48=84
Current State: 69:[55, 6, 84], Operations: ['36+48=84']
Exploring Operation: 84/6=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 84/6=14
Current State: 69:[55, 14], Operations: ['36+48=84', '84/6=14']
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[55, 36, 6, 48], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [36, 6, 7]
Generated Node #0,0: 69:[36, 6, 7] Operation: 55-48=7
Moving to Node #0,0
Current State: 69:[36, 6, 7], Operations: ['55-48=7']
Exploring Operation: 36/6=6, Resulting Numbers: [7, 6]
Generated Node #0,0,0: 69:[7, 6] Operation: 36/6=6
Moving to Node #0,0,0
Current State: 69:[7, 6], Operations: ['55-48=7', '36/6=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,69 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
16,
98,
23
] | 45 | [
"3*23=69",
"16+98=114",
"114-69=45"
] | Current State: 45:[3, 16, 98, 23], Operations: []
Exploring Operation: 3*23=69, Resulting Numbers: [16, 98, 69]
Generated Node #2: [16, 98, 69] from Operation: 3*23=69
Current State: 45:[16, 98, 69], Operations: ['3*23=69']
Exploring Operation: 16+98=114, Resulting Numbers: [69, 114]
Generated Node #3: [69, 114] from Operation: 16+98=114
Current State: 45:[69, 114], Operations: ['3*23=69', '16+98=114']
Exploring Operation: 114-69=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[3, 16, 98, 23], Operations: []
Exploring Operation: 23-16=7, Resulting Numbers: [3, 98, 7]
Generated Node #0,0: 45:[3, 98, 7] Operation: 23-16=7
Exploring Operation: 98-23=75, Resulting Numbers: [3, 16, 75]
Generated Node #0,1: 45:[3, 16, 75] Operation: 98-23=75
Exploring Operation: 98-16=82, Resulting Numbers: [3, 23, 82]
Generated Node #0,2: 45:[3, 23, 82] Operation: 98-16=82
Moving to Node #0,1
Current State: 45:[3, 16, 75], Operations: ['98-23=75']
Exploring Operation: 75/3=25, Resulting Numbers: [16, 25]
Generated Node #0,1,0: 45:[16, 25] Operation: 75/3=25
Exploring Operation: 75-16=59, Resulting Numbers: [3, 59]
Generated Node #0,1,1: 45:[3, 59] Operation: 75-16=59
Exploring Operation: 75-3=72, Resulting Numbers: [16, 72]
Generated Node #0,1,2: 45:[16, 72] Operation: 75-3=72
Moving to Node #0,2
Current State: 45:[3, 23, 82], Operations: ['98-16=82']
Exploring Operation: 82-23=59, Resulting Numbers: [3, 59]
Generated Node #0,2,0: 45:[3, 59] Operation: 82-23=59
Exploring Operation: 23-3=20, Resulting Numbers: [82, 20]
Generated Node #0,2,1: 45:[82, 20] Operation: 23-3=20
Exploring Operation: 82-3=79, Resulting Numbers: [23, 79]
Generated Node #0,2,2: 45:[23, 79] Operation: 82-3=79
Moving to Node #0,0
Current State: 45:[3, 98, 7], Operations: ['23-16=7']
Exploring Operation: 98-7=91, Resulting Numbers: [3, 91]
Generated Node #0,0,0: 45:[3, 91] Operation: 98-7=91
Exploring Operation: 98-3=95, Resulting Numbers: [7, 95]
Generated Node #0,0,1: 45:[7, 95] Operation: 98-3=95
Exploring Operation: 98/7=14, Resulting Numbers: [3, 14]
Generated Node #0,0,2: 45:[3, 14] Operation: 98/7=14
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 45:[3, 14], Operations: ['23-16=7', '98/7=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,45 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No 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: 45:[3, 91], Operations: ['23-16=7', '98-7=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,45 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 3*91=273, Resulting Numbers: [273]
273,45 unequal: No Solution
No 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: 45:[7, 95], Operations: ['23-16=7', '98-3=95']
Exploring Operation: 7*95=665, Resulting Numbers: [665]
665,45 unequal: No Solution
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 7+95=102, Resulting Numbers: [102]
102,45 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: 45:[16, 25], Operations: ['98-23=75', '75/3=25']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[3, 59], Operations: ['98-23=75', '75-16=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,45 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[3, 59], Operations: ['98-16=82', '82-23=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,45 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,45 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[16, 72], Operations: ['98-23=75', '75-3=72']
Exploring Operation: 16+72=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 16*72=1152, Resulting Numbers: [1152]
1152,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[23, 79], Operations: ['98-16=82', '82-3=79']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 23*79=1817, Resulting Numbers: [1817]
1817,45 unequal: No Solution
Exploring Operation: 23+79=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[82, 20], Operations: ['98-16=82', '23-3=20']
Exploring Operation: 82+20=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,45 unequal: No Solution
Exploring Operation: 82*20=1640, Resulting Numbers: [1640]
1640,45 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
48,
70,
25,
18
] | 58 | [
"25-18=7",
"70/7=10",
"48+10=58"
] | Current State: 58:[48, 70, 25, 18], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [48, 70, 7]
Generated Node #2: [48, 70, 7] from Operation: 25-18=7
Current State: 58:[48, 70, 7], Operations: ['25-18=7']
Exploring Operation: 70/7=10, Resulting Numbers: [48, 10]
Generated Node #3: [48, 10] from Operation: 70/7=10
Current State: 58:[48, 10], Operations: ['25-18=7', '70/7=10']
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[48, 70, 25, 18], Operations: []
Exploring Operation: 48-18=30, Resulting Numbers: [70, 25, 30]
Generated Node #0,0: 58:[70, 25, 30] Operation: 48-18=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[70, 25, 30], Operations: ['48-18=30']
Exploring Operation: 70-25=45, Resulting Numbers: [30, 45]
Generated Node #0,0,0: 58:[30, 45] Operation: 70-25=45
Moving to Node #0,0,0
Current State: 58:[30, 45], Operations: ['48-18=30', '70-25=45']
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
5,
26,
80
] | 42 | [
"5*26=130",
"80+130=210",
"210/5=42"
] | Current State: 42:[5, 5, 26, 80], Operations: []
Exploring Operation: 5*26=130, Resulting Numbers: [80, 130]
Generated Node #2: [80, 130] from Operation: 5*26=130
Current State: 42:[80, 130], Operations: ['5*26=130']
Exploring Operation: 80+130=210, Resulting Numbers: [210]
210,42 equal: Goal Reached
Exploring Operation: 210/5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[5, 5, 26, 80], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [5, 26, 16]
Generated Node #0,0: 42:[5, 26, 16] Operation: 80/5=16
Exploring Operation: 80/5=16, Resulting Numbers: [5, 26, 16]
Generated Node #0,1: 42:[5, 26, 16] Operation: 80/5=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[5, 26, 16], Operations: ['80/5=16']
Exploring Operation: 26+16=42, Resulting Numbers: [5, 42]
Generated Node #0,0,0: 42:[5, 42] Operation: 26+16=42
Exploring Operation: 26-5=21, Resulting Numbers: [16, 21]
Generated Node #0,0,1: 42:[16, 21] Operation: 26-5=21
Moving to Node #0,0,0
Current State: 42:[5, 42], Operations: ['80/5=16', '26+16=42']
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,42 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[16, 21], Operations: ['80/5=16', '26-5=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,42 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,42 unequal: No Solution
No 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: 42:[5, 26, 16], Operations: ['80/5=16']
Exploring Operation: 26-5=21, Resulting Numbers: [16, 21]
Generated Node #0,1,0: 42:[16, 21] Operation: 26-5=21
Exploring Operation: 26+16=42, Resulting Numbers: [5, 42]
Generated Node #0,1,1: 42:[5, 42] Operation: 26+16=42
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[5, 42], Operations: ['80/5=16', '26+16=42']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,42 unequal: No Solution
No 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: 42:[16, 21], Operations: ['80/5=16', '26-5=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,42 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,42 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 |
[
92,
51,
2,
82
] | 30 | [
"82-51=31",
"2*31=62",
"92-62=30"
] | Current State: 30:[92, 51, 2, 82], Operations: []
Exploring Operation: 82-51=31, Resulting Numbers: [92, 2, 31]
Generated Node #2: [92, 2, 31] from Operation: 82-51=31
Current State: 30:[92, 2, 31], Operations: ['82-51=31']
Exploring Operation: 2*31=62, Resulting Numbers: [92, 62]
Generated Node #3: [92, 62] from Operation: 2*31=62
Current State: 30:[92, 62], Operations: ['82-51=31', '2*31=62']
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[92, 51, 2, 82], Operations: []
Exploring Operation: 92-51=41, Resulting Numbers: [2, 82, 41]
Generated Node #0,0: 30:[2, 82, 41] Operation: 92-51=41
Exploring Operation: 92-82=10, Resulting Numbers: [51, 2, 10]
Generated Node #0,1: 30:[51, 2, 10] Operation: 92-82=10
Exploring Operation: 82-51=31, Resulting Numbers: [92, 2, 31]
Generated Node #0,2: 30:[92, 2, 31] Operation: 82-51=31
Exploring Operation: 92/2=46, Resulting Numbers: [51, 82, 46]
Generated Node #0,3: 30:[51, 82, 46] Operation: 92/2=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[51, 2, 10], Operations: ['92-82=10']
Exploring Operation: 10/2=5, Resulting Numbers: [51, 5]
Generated Node #0,1,0: 30:[51, 5] Operation: 10/2=5
Exploring Operation: 51-10=41, Resulting Numbers: [2, 41]
Generated Node #0,1,1: 30:[2, 41] Operation: 51-10=41
Exploring Operation: 51-2=49, Resulting Numbers: [10, 49]
Generated Node #0,1,2: 30:[10, 49] Operation: 51-2=49
Exploring Operation: 51+2=53, Resulting Numbers: [10, 53]
Generated Node #0,1,3: 30:[10, 53] Operation: 51+2=53
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[2, 41], Operations: ['92-82=10', '51-10=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,30 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 #0,1,2
Current State: 30:[10, 49], Operations: ['92-82=10', '51-2=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,30 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,30 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 #0,1,0
Current State: 30:[51, 5], Operations: ['92-82=10', '10/2=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,30 unequal: No Solution
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,30 unequal: No Solution
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,30 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 #0,1,3
Current State: 30:[10, 53], Operations: ['92-82=10', '51+2=53']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 10*53=530, Resulting Numbers: [530]
530,30 unequal: No Solution
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[2, 82, 41], Operations: ['92-51=41']
Exploring Operation: 82-41=41, Resulting Numbers: [2, 41]
Generated Node #0,0,0: 30:[2, 41] Operation: 82-41=41
Exploring Operation: 82/2=41, Resulting Numbers: [41, 41]
Generated Node #0,0,1: 30:[41, 41] Operation: 82/2=41
Exploring Operation: 82/41=2, Resulting Numbers: [2, 2]
Generated Node #0,0,2: 30:[2, 2] Operation: 82/41=2
Exploring Operation: 82-2=80, Resulting Numbers: [41, 80]
Generated Node #0,0,3: 30:[41, 80] Operation: 82-2=80
Moving to Node #0,0,2
Current State: 30:[2, 2], Operations: ['92-51=41', '82/41=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[2, 41], Operations: ['92-51=41', '82-41=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,30 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[41, 41], Operations: ['92-51=41', '82/2=41']
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,30 unequal: No Solution
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,30 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Moving to Node #0,0,3
Current State: 30:[41, 80], Operations: ['92-51=41', '82-2=80']
Exploring Operation: 41*80=3280, Resulting Numbers: [3280]
3280,30 unequal: No Solution
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 41+80=121, Resulting Numbers: [121]
121,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[92, 2, 31], Operations: ['82-51=31']
Exploring Operation: 31-2=29, Resulting Numbers: [92, 29]
Generated Node #0,2,0: 30:[92, 29] Operation: 31-2=29
Exploring Operation: 92/2=46, Resulting Numbers: [31, 46]
Generated Node #0,2,1: 30:[31, 46] Operation: 92/2=46
Exploring Operation: 92-2=90, Resulting Numbers: [31, 90]
Generated Node #0,2,2: 30:[31, 90] Operation: 92-2=90
Exploring Operation: 92-31=61, Resulting Numbers: [2, 61]
Generated Node #0,2,3: 30:[2, 61] Operation: 92-31=61
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 30:[31, 46], Operations: ['82-51=31', '92/2=46']
Exploring Operation: 31*46=1426, Resulting Numbers: [1426]
1426,30 unequal: No Solution
Exploring Operation: 31+46=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,30 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 #0,2,3
Current State: 30:[2, 61], Operations: ['82-51=31', '92-31=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,30 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 #0,2,2
Current State: 30:[31, 90], Operations: ['82-51=31', '92-2=90']
Exploring Operation: 90-31=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 31+90=121, Resulting Numbers: [121]
121,30 unequal: No Solution
Exploring Operation: 31*90=2790, Resulting Numbers: [2790]
2790,30 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 #0,2,0
Current State: 30:[92, 29], Operations: ['82-51=31', '31-2=29']
Exploring Operation: 92*29=2668, Resulting Numbers: [2668]
2668,30 unequal: No Solution
Exploring Operation: 92-29=63, Resulting Numbers: [63]
63,30 unequal: No Solution
Exploring Operation: 92+29=121, Resulting Numbers: [121]
121,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[51, 82, 46], Operations: ['92/2=46']
Exploring Operation: 82-46=36, Resulting Numbers: [51, 36]
Generated Node #0,3,0: 30:[51, 36] Operation: 82-46=36
Exploring Operation: 51+82=133, Resulting Numbers: [46, 133]
Generated Node #0,3,1: 30:[46, 133] Operation: 51+82=133
Exploring Operation: 51-46=5, Resulting Numbers: [82, 5]
Generated Node #0,3,2: 30:[82, 5] Operation: 51-46=5
Exploring Operation: 82-51=31, Resulting Numbers: [46, 31]
Generated Node #0,3,3: 30:[46, 31] Operation: 82-51=31
Moving to Node #0,3,3
Current State: 30:[46, 31], Operations: ['92/2=46', '82-51=31']
Exploring Operation: 46*31=1426, Resulting Numbers: [1426]
1426,30 unequal: No Solution
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 46+31=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[51, 36], Operations: ['92/2=46', '82-46=36']
Exploring Operation: 51*36=1836, Resulting Numbers: [1836]
1836,30 unequal: No Solution
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[82, 5], Operations: ['92/2=46', '51-46=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,30 unequal: No Solution
Exploring Operation: 82*5=410, Resulting Numbers: [410]
410,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[46, 133], Operations: ['92/2=46', '51+82=133']
Exploring Operation: 46*133=6118, Resulting Numbers: [6118]
6118,30 unequal: No Solution
Exploring Operation: 46+133=179, Resulting Numbers: [179]
179,30 unequal: No Solution
Exploring Operation: 133-46=87, Resulting Numbers: [87]
87,30 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 |
[
53,
54,
43,
4
] | 68 | [
"53+54=107",
"43-4=39",
"107-39=68"
] | Current State: 68:[53, 54, 43, 4], Operations: []
Exploring Operation: 53+54=107, Resulting Numbers: [43, 4, 107]
Generated Node #2: [43, 4, 107] from Operation: 53+54=107
Current State: 68:[43, 4, 107], Operations: ['53+54=107']
Exploring Operation: 43-4=39, Resulting Numbers: [107, 39]
Generated Node #3: [107, 39] from Operation: 43-4=39
Current State: 68:[107, 39], Operations: ['53+54=107', '43-4=39']
Exploring Operation: 107-39=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[53, 54, 43, 4], Operations: []
Exploring Operation: 53+4=57, Resulting Numbers: [54, 43, 57]
Generated Node #0,0: 68:[54, 43, 57] Operation: 53+4=57
Exploring Operation: 53-43=10, Resulting Numbers: [54, 4, 10]
Generated Node #0,1: 68:[54, 4, 10] Operation: 53-43=10
Exploring Operation: 54-53=1, Resulting Numbers: [43, 4, 1]
Generated Node #0,2: 68:[43, 4, 1] Operation: 54-53=1
Exploring Operation: 54-43=11, Resulting Numbers: [53, 4, 11]
Generated Node #0,3: 68:[53, 4, 11] Operation: 54-43=11
Exploring Operation: 54+4=58, Resulting Numbers: [53, 43, 58]
Generated Node #0,4: 68:[53, 43, 58] Operation: 54+4=58
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[43, 4, 1], Operations: ['54-53=1']
Exploring Operation: 43-1=42, Resulting Numbers: [4, 42]
Generated Node #0,2,0: 68:[4, 42] Operation: 43-1=42
Exploring Operation: 43/1=43, Resulting Numbers: [4, 43]
Generated Node #0,2,1: 68:[4, 43] Operation: 43/1=43
Exploring Operation: 43-4=39, Resulting Numbers: [1, 39]
Generated Node #0,2,2: 68:[1, 39] Operation: 43-4=39
Exploring Operation: 4*1=4, Resulting Numbers: [43, 4]
Generated Node #0,2,3: 68:[43, 4] Operation: 4*1=4
Exploring Operation: 43*1=43, Resulting Numbers: [4, 43]
Generated Node #0,2,4: 68:[4, 43] Operation: 43*1=43
Moving to Node #0,2,2
Current State: 68:[1, 39], Operations: ['54-53=1', '43-4=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[4, 42], Operations: ['54-53=1', '43-1=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,68 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[4, 43], Operations: ['54-53=1', '43/1=43']
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,68 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Moving to Node #0,2,3
Current State: 68:[43, 4], Operations: ['54-53=1', '4*1=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,68 unequal: No Solution
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Moving to Node #0,2,4
Current State: 68:[4, 43], Operations: ['54-53=1', '43*1=43']
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,68 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[54, 4, 10], Operations: ['53-43=10']
Exploring Operation: 54+10=64, Resulting Numbers: [4, 64]
Generated Node #0,1,0: 68:[4, 64] Operation: 54+10=64
Exploring Operation: 10-4=6, Resulting Numbers: [54, 6]
Generated Node #0,1,1: 68:[54, 6] Operation: 10-4=6
Exploring Operation: 54-10=44, Resulting Numbers: [4, 44]
Generated Node #0,1,2: 68:[4, 44] Operation: 54-10=44
Exploring Operation: 4+10=14, Resulting Numbers: [54, 14]
Generated Node #0,1,3: 68:[54, 14] Operation: 4+10=14
Exploring Operation: 54+4=58, Resulting Numbers: [10, 58]
Generated Node #0,1,4: 68:[10, 58] Operation: 54+4=58
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[4, 64], Operations: ['53-43=10', '54+10=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[53, 54, 43, 4], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [54, 4, 10]
Generated Node #0,1: 68:[54, 4, 10] Operation: 53-43=10
Moving to Node #0,1
Current State: 68:[54, 4, 10], Operations: ['53-43=10']
Exploring Operation: 54+10=64, Resulting Numbers: [4, 64]
Generated Node #0,1,0: 68:[4, 64] Operation: 54+10=64
Moving to Node #0,1,0
Current State: 68:[4, 64], Operations: ['53-43=10', '54+10=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
36,
5,
63,
34
] | 29 | [
"36-34=2",
"63-5=58",
"58/2=29"
] | Current State: 29:[36, 5, 63, 34], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [5, 63, 2]
Generated Node #2: [5, 63, 2] from Operation: 36-34=2
Current State: 29:[5, 63, 2], Operations: ['36-34=2']
Exploring Operation: 63-5=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 63-5=58
Current State: 29:[2, 58], Operations: ['36-34=2', '63-5=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[36, 5, 63, 34], Operations: []
Exploring Operation: 36-5=31, Resulting Numbers: [63, 34, 31]
Generated Node #0,0: 29:[63, 34, 31] Operation: 36-5=31
Exploring Operation: 63-34=29, Resulting Numbers: [36, 5, 29]
Generated Node #0,1: 29:[36, 5, 29] Operation: 63-34=29
Exploring Operation: 63-36=27, Resulting Numbers: [5, 34, 27]
Generated Node #0,2: 29:[5, 34, 27] Operation: 63-36=27
Exploring Operation: 63-5=58, Resulting Numbers: [36, 34, 58]
Generated Node #0,3: 29:[36, 34, 58] Operation: 63-5=58
Moving to Node #0,1
Current State: 29:[36, 5, 29], Operations: ['63-34=29']
Exploring Operation: 5+29=34, Resulting Numbers: [36, 34]
Generated Node #0,1,0: 29:[36, 34] Operation: 5+29=34
Exploring Operation: 29-5=24, Resulting Numbers: [36, 24]
Generated Node #0,1,1: 29:[36, 24] Operation: 29-5=24
Exploring Operation: 36-5=31, Resulting Numbers: [29, 31]
Generated Node #0,1,2: 29:[29, 31] Operation: 36-5=31
Exploring Operation: 36+5=41, Resulting Numbers: [29, 41]
Generated Node #0,1,3: 29:[29, 41] Operation: 36+5=41
Moving to Node #0,2
Current State: 29:[5, 34, 27], Operations: ['63-36=27']
Exploring Operation: 5+34=39, Resulting Numbers: [27, 39]
Generated Node #0,2,0: 29:[27, 39] Operation: 5+34=39
Exploring Operation: 27-5=22, Resulting Numbers: [34, 22]
Generated Node #0,2,1: 29:[34, 22] Operation: 27-5=22
Exploring Operation: 34-5=29, Resulting Numbers: [27, 29]
Generated Node #0,2,2: 29:[27, 29] Operation: 34-5=29
Exploring Operation: 5+27=32, Resulting Numbers: [34, 32]
Generated Node #0,2,3: 29:[34, 32] Operation: 5+27=32
Moving to Node #0,3
Current State: 29:[36, 34, 58], Operations: ['63-5=58']
Exploring Operation: 58-34=24, Resulting Numbers: [36, 24]
Generated Node #0,3,0: 29:[36, 24] Operation: 58-34=24
Exploring Operation: 36+34=70, Resulting Numbers: [58, 70]
Generated Node #0,3,1: 29:[58, 70] Operation: 36+34=70
Exploring Operation: 58-36=22, Resulting Numbers: [34, 22]
Generated Node #0,3,2: 29:[34, 22] Operation: 58-36=22
Exploring Operation: 36-34=2, Resulting Numbers: [58, 2]
Generated Node #0,3,3: 29:[58, 2] Operation: 36-34=2
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 29:[36, 24], Operations: ['63-5=58', '58-34=24']
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,29 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 29:[34, 22], Operations: ['63-5=58', '58-36=22']
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 29:[58, 2], Operations: ['63-5=58', '36-34=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[36, 5, 63, 34], Operations: []
Exploring Operation: 63-5=58, Resulting Numbers: [36, 34, 58]
Generated Node #0,3: 29:[36, 34, 58] Operation: 63-5=58
Moving to Node #0,3
Current State: 29:[36, 34, 58], Operations: ['63-5=58']
Exploring Operation: 36-34=2, Resulting Numbers: [58, 2]
Generated Node #0,3,3: 29:[58, 2] Operation: 36-34=2
Moving to Node #0,3,3
Current State: 29:[58, 2], Operations: ['63-5=58', '36-34=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
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