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 |
|---|---|---|---|---|---|---|---|---|
[
95,
80,
18,
82
] | 49 | [
"95-80=15",
"82-18=64",
"64-15=49"
] | Current State: 49:[95, 80, 18, 82], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [18, 82, 15]
Generated Node #2: [18, 82, 15] from Operation: 95-80=15
Current State: 49:[18, 82, 15], Operations: ['95-80=15']
Exploring Operation: 82-18=64, Resulting Numbers: [15, 64]
Generated Node #3: [15, 64] from Operation: 82-18=64
Current State: 49:[15, 64], Operations: ['95-80=15', '82-18=64']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[95, 80, 18, 82], Operations: []
Exploring Operation: 95-82=13, Resulting Numbers: [80, 18, 13]
Generated Node #0,0: 49:[80, 18, 13] Operation: 95-82=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[80, 18, 13], Operations: ['95-82=13']
Exploring Operation: 80-18=62, Resulting Numbers: [13, 62]
Generated Node #0,0,0: 49:[13, 62] Operation: 80-18=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[13, 62], Operations: ['95-82=13', '80-18=62']
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[95, 80, 18, 82], Operations: []
Exploring Operation: 95-82=13, Resulting Numbers: [80, 18, 13]
Generated Node #0,0: 49:[80, 18, 13] Operation: 95-82=13
Moving to Node #0,0
Current State: 49:[80, 18, 13], Operations: ['95-82=13']
Exploring Operation: 80-18=62, Resulting Numbers: [13, 62]
Generated Node #0,0,0: 49:[13, 62] Operation: 80-18=62
Moving to Node #0,0,0
Current State: 49:[13, 62], Operations: ['95-82=13', '80-18=62']
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
88,
34,
94,
75
] | 35 | [
"88-34=54",
"94-75=19",
"54-19=35"
] | Current State: 35:[88, 34, 94, 75], Operations: []
Exploring Operation: 88-34=54, Resulting Numbers: [94, 75, 54]
Generated Node #2: [94, 75, 54] from Operation: 88-34=54
Current State: 35:[94, 75, 54], Operations: ['88-34=54']
Exploring Operation: 94-75=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 94-75=19
Current State: 35:[54, 19], Operations: ['88-34=54', '94-75=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[88, 34, 94, 75], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [34, 75, 6]
Generated Node #0,0: 35:[34, 75, 6] Operation: 94-88=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[34, 75, 6], Operations: ['94-88=6']
Exploring Operation: 75-34=41, Resulting Numbers: [6, 41]
Generated Node #0,0,0: 35:[6, 41] Operation: 75-34=41
Moving to Node #0,0,0
Current State: 35:[6, 41], Operations: ['94-88=6', '75-34=41']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[88, 34, 94, 75], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [34, 75, 6]
Generated Node #0,0: 35:[34, 75, 6] Operation: 94-88=6
Moving to Node #0,0
Current State: 35:[34, 75, 6], Operations: ['94-88=6']
Exploring Operation: 75-34=41, Resulting Numbers: [6, 41]
Generated Node #0,0,0: 35:[6, 41] Operation: 75-34=41
Moving to Node #0,0,0
Current State: 35:[6, 41], Operations: ['94-88=6', '75-34=41']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
39,
33,
74,
61
] | 99 | [
"39*33=1287",
"74-61=13",
"1287/13=99"
] | Current State: 99:[39, 33, 74, 61], Operations: []
Exploring Operation: 39*33=1287, Resulting Numbers: [74, 61, 1287]
Generated Node #2: [74, 61, 1287] from Operation: 39*33=1287
Current State: 99:[74, 61, 1287], Operations: ['39*33=1287']
Exploring Operation: 74-61=13, Resulting Numbers: [1287, 13]
Generated Node #3: [1287, 13] from Operation: 74-61=13
Current State: 99:[1287, 13], Operations: ['39*33=1287', '74-61=13']
Exploring Operation: 1287/13=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[39, 33, 74, 61], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [39, 33, 13]
Generated Node #0,0: 99:[39, 33, 13] Operation: 74-61=13
Exploring Operation: 39+61=100, Resulting Numbers: [33, 74, 100]
Generated Node #0,1: 99:[33, 74, 100] Operation: 39+61=100
Moving to Node #0,0
Current State: 99:[39, 33, 13], Operations: ['74-61=13']
Exploring Operation: 39/13=3, Resulting Numbers: [33, 3]
Generated Node #0,0,0: 99:[33, 3] Operation: 39/13=3
Exploring Operation: 39-33=6, Resulting Numbers: [13, 6]
Generated Node #0,0,1: 99:[13, 6] Operation: 39-33=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[33, 3], Operations: ['74-61=13', '39/13=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[39, 33, 74, 61], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [39, 33, 13]
Generated Node #0,0: 99:[39, 33, 13] Operation: 74-61=13
Moving to Node #0,0
Current State: 99:[39, 33, 13], Operations: ['74-61=13']
Exploring Operation: 39/13=3, Resulting Numbers: [33, 3]
Generated Node #0,0,0: 99:[33, 3] Operation: 39/13=3
Moving to Node #0,0,0
Current State: 99:[33, 3], Operations: ['74-61=13', '39/13=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
98,
97,
20,
75
] | 49 | [
"97-20=77",
"77-75=2",
"98/2=49"
] | Current State: 49:[98, 97, 20, 75], Operations: []
Exploring Operation: 97-20=77, Resulting Numbers: [98, 75, 77]
Generated Node #2: [98, 75, 77] from Operation: 97-20=77
Current State: 49:[98, 75, 77], Operations: ['97-20=77']
Exploring Operation: 77-75=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 77-75=2
Current State: 49:[98, 2], Operations: ['97-20=77', '77-75=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[98, 97, 20, 75], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [20, 75, 1]
Generated Node #0,0: 49:[20, 75, 1] Operation: 98-97=1
Exploring Operation: 97-75=22, Resulting Numbers: [98, 20, 22]
Generated Node #0,1: 49:[98, 20, 22] Operation: 97-75=22
Exploring Operation: 98-20=78, Resulting Numbers: [97, 75, 78]
Generated Node #0,2: 49:[97, 75, 78] Operation: 98-20=78
Exploring Operation: 98-75=23, Resulting Numbers: [97, 20, 23]
Generated Node #0,3: 49:[97, 20, 23] Operation: 98-75=23
Moving to Node #0,0
Current State: 49:[20, 75, 1], Operations: ['98-97=1']
Exploring Operation: 20*1=20, Resulting Numbers: [75, 20]
Generated Node #0,0,0: 49:[75, 20] Operation: 20*1=20
Exploring Operation: 20-1=19, Resulting Numbers: [75, 19]
Generated Node #0,0,1: 49:[75, 19] Operation: 20-1=19
Exploring Operation: 75-1=74, Resulting Numbers: [20, 74]
Generated Node #0,0,2: 49:[20, 74] Operation: 75-1=74
Exploring Operation: 75-20=55, Resulting Numbers: [1, 55]
Generated Node #0,0,3: 49:[1, 55] Operation: 75-20=55
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 49:[1, 55], Operations: ['98-97=1', '75-20=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[75, 19], Operations: ['98-97=1', '20-1=19']
Exploring Operation: 75*19=1425, Resulting Numbers: [1425]
1425,49 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 75+19=94, Resulting Numbers: [94]
94,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[20, 74], Operations: ['98-97=1', '75-1=74']
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 20+74=94, Resulting Numbers: [94]
94,49 unequal: No Solution
Exploring Operation: 20*74=1480, Resulting Numbers: [1480]
1480,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[75, 20], Operations: ['98-97=1', '20*1=20']
Exploring Operation: 75+20=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 75*20=1500, Resulting Numbers: [1500]
1500,49 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,49 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: 49:[97, 20, 23], Operations: ['98-75=23']
Exploring Operation: 23-20=3, Resulting Numbers: [97, 3]
Generated Node #0,3,0: 49:[97, 3] Operation: 23-20=3
Exploring Operation: 97-20=77, Resulting Numbers: [23, 77]
Generated Node #0,3,1: 49:[23, 77] Operation: 97-20=77
Exploring Operation: 97-23=74, Resulting Numbers: [20, 74]
Generated Node #0,3,2: 49:[20, 74] Operation: 97-23=74
Exploring Operation: 20+23=43, Resulting Numbers: [97, 43]
Generated Node #0,3,3: 49:[97, 43] Operation: 20+23=43
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 49:[20, 74], Operations: ['98-75=23', '97-23=74']
Exploring Operation: 20*74=1480, Resulting Numbers: [1480]
1480,49 unequal: No Solution
Exploring Operation: 20+74=94, Resulting Numbers: [94]
94,49 unequal: No Solution
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,49 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 #0,3,1
Current State: 49:[23, 77], Operations: ['98-75=23', '97-20=77']
Exploring Operation: 23*77=1771, Resulting Numbers: [1771]
1771,49 unequal: No Solution
Exploring Operation: 23+77=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,49 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 #0,3,0
Current State: 49:[97, 3], Operations: ['98-75=23', '23-20=3']
Exploring Operation: 97*3=291, Resulting Numbers: [291]
291,49 unequal: No Solution
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,49 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,49 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 #0,3,3
Current State: 49:[97, 43], Operations: ['98-75=23', '20+23=43']
Exploring Operation: 97*43=4171, Resulting Numbers: [4171]
4171,49 unequal: No Solution
Exploring Operation: 97+43=140, Resulting Numbers: [140]
140,49 unequal: No Solution
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,49 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:[98, 20, 22], Operations: ['97-75=22']
Exploring Operation: 98-22=76, Resulting Numbers: [20, 76]
Generated Node #0,1,0: 49:[20, 76] Operation: 98-22=76
Exploring Operation: 20+22=42, Resulting Numbers: [98, 42]
Generated Node #0,1,1: 49:[98, 42] Operation: 20+22=42
Exploring Operation: 22-20=2, Resulting Numbers: [98, 2]
Generated Node #0,1,2: 49:[98, 2] Operation: 22-20=2
Exploring Operation: 98-20=78, Resulting Numbers: [22, 78]
Generated Node #0,1,3: 49:[22, 78] Operation: 98-20=78
Moving to Node #0,2
Current State: 49:[97, 75, 78], Operations: ['98-20=78']
Exploring Operation: 78-75=3, Resulting Numbers: [97, 3]
Generated Node #0,2,0: 49:[97, 3] Operation: 78-75=3
Exploring Operation: 97-75=22, Resulting Numbers: [78, 22]
Generated Node #0,2,1: 49:[78, 22] Operation: 97-75=22
Exploring Operation: 97-78=19, Resulting Numbers: [75, 19]
Generated Node #0,2,2: 49:[75, 19] Operation: 97-78=19
Exploring Operation: 97+75=172, Resulting Numbers: [78, 172]
Generated Node #0,2,3: 49:[78, 172] Operation: 97+75=172
Moving to Node #0,2,2
Current State: 49:[75, 19], Operations: ['98-20=78', '97-78=19']
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 75*19=1425, Resulting Numbers: [1425]
1425,49 unequal: No Solution
Exploring Operation: 75+19=94, Resulting Numbers: [94]
94,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[20, 76], Operations: ['97-75=22', '98-22=76']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 20*76=1520, Resulting Numbers: [1520]
1520,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[78, 22], Operations: ['98-20=78', '97-75=22']
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 78*22=1716, Resulting Numbers: [1716]
1716,49 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[22, 78], Operations: ['97-75=22', '98-20=78']
Exploring Operation: 22*78=1716, Resulting Numbers: [1716]
1716,49 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 22+78=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[97, 3], Operations: ['98-20=78', '78-75=3']
Exploring Operation: 97*3=291, Resulting Numbers: [291]
291,49 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[98, 2], Operations: ['97-75=22', '22-20=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,49 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[98, 97, 20, 75], Operations: []
Exploring Operation: 97-75=22, Resulting Numbers: [98, 20, 22]
Generated Node #0,1: 49:[98, 20, 22] Operation: 97-75=22
Moving to Node #0,1
Current State: 49:[98, 20, 22], Operations: ['97-75=22']
Exploring Operation: 22-20=2, Resulting Numbers: [98, 2]
Generated Node #0,1,2: 49:[98, 2] Operation: 22-20=2
Moving to Node #0,1,2
Current State: 49:[98, 2], Operations: ['97-75=22', '22-20=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.940972 | hs_4 | sum_heuristic |
[
23,
96,
7,
59
] | 11 | [
"96*7=672",
"672-23=649",
"649/59=11"
] | Current State: 11:[23, 96, 7, 59], Operations: []
Exploring Operation: 96*7=672, Resulting Numbers: [23, 59, 672]
Generated Node #2: [23, 59, 672] from Operation: 96*7=672
Current State: 11:[23, 59, 672], Operations: ['96*7=672']
Exploring Operation: 672-23=649, Resulting Numbers: [59, 649]
Generated Node #3: [59, 649] from Operation: 672-23=649
Current State: 11:[59, 649], Operations: ['96*7=672', '672-23=649']
Exploring Operation: 649/59=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[23, 96, 7, 59], Operations: []
Exploring Operation: 23-7=16, Resulting Numbers: [96, 59, 16]
Generated Node #0,0: 11:[96, 59, 16] Operation: 23-7=16
Exploring Operation: 96-7=89, Resulting Numbers: [23, 59, 89]
Generated Node #0,1: 11:[23, 59, 89] Operation: 96-7=89
Exploring Operation: 96-59=37, Resulting Numbers: [23, 7, 37]
Generated Node #0,2: 11:[23, 7, 37] Operation: 96-59=37
Exploring Operation: 96-23=73, Resulting Numbers: [7, 59, 73]
Generated Node #0,3: 11:[7, 59, 73] Operation: 96-23=73
Exploring Operation: 59-23=36, Resulting Numbers: [96, 7, 36]
Generated Node #0,4: 11:[96, 7, 36] Operation: 59-23=36
Moving to Node #0,2
Current State: 11:[23, 7, 37], Operations: ['96-59=37']
Exploring Operation: 37-7=30, Resulting Numbers: [23, 30]
Generated Node #0,2,0: 11:[23, 30] Operation: 37-7=30
Exploring Operation: 23+7=30, Resulting Numbers: [37, 30]
Generated Node #0,2,1: 11:[37, 30] Operation: 23+7=30
Exploring Operation: 7+37=44, Resulting Numbers: [23, 44]
Generated Node #0,2,2: 11:[23, 44] Operation: 7+37=44
Exploring Operation: 23-7=16, Resulting Numbers: [37, 16]
Generated Node #0,2,3: 11:[37, 16] Operation: 23-7=16
Exploring Operation: 37-23=14, Resulting Numbers: [7, 14]
Generated Node #0,2,4: 11:[7, 14] Operation: 37-23=14
Moving to Node #0,4
Current State: 11:[96, 7, 36], Operations: ['59-23=36']
Exploring Operation: 96+7=103, Resulting Numbers: [36, 103]
Generated Node #0,4,0: 11:[36, 103] Operation: 96+7=103
Exploring Operation: 96-36=60, Resulting Numbers: [7, 60]
Generated Node #0,4,1: 11:[7, 60] Operation: 96-36=60
Exploring Operation: 36-7=29, Resulting Numbers: [96, 29]
Generated Node #0,4,2: 11:[96, 29] Operation: 36-7=29
Exploring Operation: 7+36=43, Resulting Numbers: [96, 43]
Generated Node #0,4,3: 11:[96, 43] Operation: 7+36=43
Exploring Operation: 96-7=89, Resulting Numbers: [36, 89]
Generated Node #0,4,4: 11:[36, 89] Operation: 96-7=89
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[7, 60], Operations: ['59-23=36', '96-36=60']
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 7*60=420, Resulting Numbers: [420]
420,11 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 11:[96, 29], Operations: ['59-23=36', '36-7=29']
Exploring Operation: 96*29=2784, Resulting Numbers: [2784]
2784,11 unequal: No Solution
Exploring Operation: 96-29=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 96+29=125, Resulting Numbers: [125]
125,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 11:[36, 89], Operations: ['59-23=36', '96-7=89']
Exploring Operation: 36*89=3204, Resulting Numbers: [3204]
3204,11 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 36+89=125, Resulting Numbers: [125]
125,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 11:[36, 103], Operations: ['59-23=36', '96+7=103']
Exploring Operation: 36+103=139, Resulting Numbers: [139]
139,11 unequal: No Solution
Exploring Operation: 103-36=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 36*103=3708, Resulting Numbers: [3708]
3708,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 11:[96, 43], Operations: ['59-23=36', '7+36=43']
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 96*43=4128, Resulting Numbers: [4128]
4128,11 unequal: No Solution
Exploring Operation: 96+43=139, Resulting Numbers: [139]
139,11 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: 11:[7, 59, 73], Operations: ['96-23=73']
Exploring Operation: 7+73=80, Resulting Numbers: [59, 80]
Generated Node #0,3,0: 11:[59, 80] Operation: 7+73=80
Exploring Operation: 73-59=14, Resulting Numbers: [7, 14]
Generated Node #0,3,1: 11:[7, 14] Operation: 73-59=14
Exploring Operation: 59-7=52, Resulting Numbers: [73, 52]
Generated Node #0,3,2: 11:[73, 52] Operation: 59-7=52
Exploring Operation: 7+59=66, Resulting Numbers: [73, 66]
Generated Node #0,3,3: 11:[73, 66] Operation: 7+59=66
Exploring Operation: 73-7=66, Resulting Numbers: [59, 66]
Generated Node #0,3,4: 11:[59, 66] Operation: 73-7=66
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[7, 14], Operations: ['96-23=73', '73-59=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[73, 52], Operations: ['96-23=73', '59-7=52']
Exploring Operation: 73+52=125, Resulting Numbers: [125]
125,11 unequal: No Solution
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 73*52=3796, Resulting Numbers: [3796]
3796,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 11:[59, 66], Operations: ['96-23=73', '73-7=66']
Exploring Operation: 66-59=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 59*66=3894, Resulting Numbers: [3894]
3894,11 unequal: No Solution
Exploring Operation: 59+66=125, Resulting Numbers: [125]
125,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[59, 80], Operations: ['96-23=73', '7+73=80']
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 59*80=4720, Resulting Numbers: [4720]
4720,11 unequal: No Solution
Exploring Operation: 59+80=139, Resulting Numbers: [139]
139,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[73, 66], Operations: ['96-23=73', '7+59=66']
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 73*66=4818, Resulting Numbers: [4818]
4818,11 unequal: No Solution
Exploring Operation: 73+66=139, Resulting Numbers: [139]
139,11 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: 11:[96, 59, 16], Operations: ['23-7=16']
Exploring Operation: 96+59=155, Resulting Numbers: [16, 155]
Generated Node #0,0,0: 11:[16, 155] Operation: 96+59=155
Exploring Operation: 96-59=37, Resulting Numbers: [16, 37]
Generated Node #0,0,1: 11:[16, 37] Operation: 96-59=37
Exploring Operation: 59-16=43, Resulting Numbers: [96, 43]
Generated Node #0,0,2: 11:[96, 43] Operation: 59-16=43
Exploring Operation: 96-16=80, Resulting Numbers: [59, 80]
Generated Node #0,0,3: 11:[59, 80] Operation: 96-16=80
Exploring Operation: 96/16=6, Resulting Numbers: [59, 6]
Generated Node #0,0,4: 11:[59, 6] Operation: 96/16=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[16, 37], Operations: ['23-7=16', '96-59=37']
Exploring Operation: 16*37=592, Resulting Numbers: [592]
592,11 unequal: No Solution
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[59, 6], Operations: ['23-7=16', '96/16=6']
Exploring Operation: 59*6=354, Resulting Numbers: [354]
354,11 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[96, 43], Operations: ['23-7=16', '59-16=43']
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 96+43=139, Resulting Numbers: [139]
139,11 unequal: No Solution
Exploring Operation: 96*43=4128, Resulting Numbers: [4128]
4128,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[59, 80], Operations: ['23-7=16', '96-16=80']
Exploring Operation: 59+80=139, Resulting Numbers: [139]
139,11 unequal: No Solution
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 59*80=4720, Resulting Numbers: [4720]
4720,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[16, 155], Operations: ['23-7=16', '96+59=155']
Exploring Operation: 16*155=2480, Resulting Numbers: [2480]
2480,11 unequal: No Solution
Exploring Operation: 16+155=171, Resulting Numbers: [171]
171,11 unequal: No Solution
Exploring Operation: 155-16=139, Resulting Numbers: [139]
139,11 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: 11:[23, 59, 89], Operations: ['96-7=89']
Exploring Operation: 89-59=30, Resulting Numbers: [23, 30]
Generated Node #0,1,0: 11:[23, 30] Operation: 89-59=30
Exploring Operation: 23+89=112, Resulting Numbers: [59, 112]
Generated Node #0,1,1: 11:[59, 112] Operation: 23+89=112
Exploring Operation: 23+59=82, Resulting Numbers: [89, 82]
Generated Node #0,1,2: 11:[89, 82] Operation: 23+59=82
Exploring Operation: 59-23=36, Resulting Numbers: [89, 36]
Generated Node #0,1,3: 11:[89, 36] Operation: 59-23=36
Exploring Operation: 89-23=66, Resulting Numbers: [59, 66]
Generated Node #0,1,4: 11:[59, 66] Operation: 89-23=66
Moving to Node #0,2,4
Current State: 11:[7, 14], Operations: ['96-59=37', '37-23=14']
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[37, 16], Operations: ['96-59=37', '23-7=16']
Exploring Operation: 37*16=592, Resulting Numbers: [592]
592,11 unequal: No Solution
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[23, 30], Operations: ['96-7=89', '89-59=30']
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,11 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[23, 30], Operations: ['96-59=37', '37-7=30']
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[23, 44], Operations: ['96-59=37', '7+37=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[37, 30], Operations: ['96-59=37', '23+7=30']
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,11 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[89, 36], Operations: ['96-7=89', '59-23=36']
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,11 unequal: No Solution
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,11 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Moving to Node #0,1,4
Current State: 11:[59, 66], Operations: ['96-7=89', '89-23=66']
Exploring Operation: 59*66=3894, Resulting Numbers: [3894]
3894,11 unequal: No Solution
Exploring Operation: 66-59=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 59+66=125, Resulting Numbers: [125]
125,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[59, 112], Operations: ['96-7=89', '23+89=112']
Exploring Operation: 59+112=171, Resulting Numbers: [171]
171,11 unequal: No Solution
Exploring Operation: 112-59=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 59*112=6608, Resulting Numbers: [6608]
6608,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[89, 82], Operations: ['96-7=89', '23+59=82']
Exploring Operation: 89+82=171, Resulting Numbers: [171]
171,11 unequal: No Solution
Exploring Operation: 89-82=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 89*82=7298, Resulting Numbers: [7298]
7298,11 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
71,
79,
2,
39
] | 48 | [
"71+39=110",
"79*2=158",
"158-110=48"
] | Current State: 48:[71, 79, 2, 39], Operations: []
Exploring Operation: 71+39=110, Resulting Numbers: [79, 2, 110]
Generated Node #2: [79, 2, 110] from Operation: 71+39=110
Current State: 48:[79, 2, 110], Operations: ['71+39=110']
Exploring Operation: 79*2=158, Resulting Numbers: [110, 158]
Generated Node #3: [110, 158] from Operation: 79*2=158
Current State: 48:[110, 158], Operations: ['71+39=110', '79*2=158']
Exploring Operation: 158-110=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[71, 79, 2, 39], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [71, 2, 40]
Generated Node #0,0: 48:[71, 2, 40] Operation: 79-39=40
Exploring Operation: 79-71=8, Resulting Numbers: [2, 39, 8]
Generated Node #0,1: 48:[2, 39, 8] Operation: 79-71=8
Exploring Operation: 71-39=32, Resulting Numbers: [79, 2, 32]
Generated Node #0,2: 48:[79, 2, 32] Operation: 71-39=32
Moving to Node #0,1
Current State: 48:[2, 39, 8], Operations: ['79-71=8']
Exploring Operation: 39-8=31, Resulting Numbers: [2, 31]
Generated Node #0,1,0: 48:[2, 31] Operation: 39-8=31
Exploring Operation: 39+8=47, Resulting Numbers: [2, 47]
Generated Node #0,1,1: 48:[2, 47] Operation: 39+8=47
Exploring Operation: 2+39=41, Resulting Numbers: [8, 41]
Generated Node #0,1,2: 48:[8, 41] Operation: 2+39=41
Moving to Node #0,0
Current State: 48:[71, 2, 40], Operations: ['79-39=40']
Exploring Operation: 71-40=31, Resulting Numbers: [2, 31]
Generated Node #0,0,0: 48:[2, 31] Operation: 71-40=31
Exploring Operation: 71-2=69, Resulting Numbers: [40, 69]
Generated Node #0,0,1: 48:[40, 69] Operation: 71-2=69
Exploring Operation: 40/2=20, Resulting Numbers: [71, 20]
Generated Node #0,0,2: 48:[71, 20] Operation: 40/2=20
Moving to Node #0,2
Current State: 48:[79, 2, 32], Operations: ['71-39=32']
Exploring Operation: 79-2=77, Resulting Numbers: [32, 77]
Generated Node #0,2,0: 48:[32, 77] Operation: 79-2=77
Exploring Operation: 79-32=47, Resulting Numbers: [2, 47]
Generated Node #0,2,1: 48:[2, 47] Operation: 79-32=47
Exploring Operation: 32/2=16, Resulting Numbers: [79, 16]
Generated Node #0,2,2: 48:[79, 16] Operation: 32/2=16
Moving to Node #0,1,1
Current State: 48:[2, 47], Operations: ['79-71=8', '39+8=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[2, 47], Operations: ['71-39=32', '79-32=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,48 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[8, 41], Operations: ['79-71=8', '2+39=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[2, 31], Operations: ['79-71=8', '39-8=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[2, 31], Operations: ['79-39=40', '71-40=31']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,48 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[71, 20], Operations: ['79-39=40', '40/2=20']
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 71*20=1420, Resulting Numbers: [1420]
1420,48 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[40, 69], Operations: ['79-39=40', '71-2=69']
Exploring Operation: 40*69=2760, Resulting Numbers: [2760]
2760,48 unequal: No Solution
Exploring Operation: 40+69=109, Resulting Numbers: [109]
109,48 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[79, 16], Operations: ['71-39=32', '32/2=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 79*16=1264, Resulting Numbers: [1264]
1264,48 unequal: No Solution
Moving to Node #0,2,0
Current State: 48:[32, 77], Operations: ['71-39=32', '79-2=77']
Exploring Operation: 32*77=2464, Resulting Numbers: [2464]
2464,48 unequal: No Solution
Exploring Operation: 32+77=109, Resulting Numbers: [109]
109,48 unequal: No Solution
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,48 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
5,
77,
60,
44
] | 100 | [
"77*60=4620",
"4620/44=105",
"105-5=100"
] | Current State: 100:[5, 77, 60, 44], Operations: []
Exploring Operation: 77*60=4620, Resulting Numbers: [5, 44, 4620]
Generated Node #2: [5, 44, 4620] from Operation: 77*60=4620
Current State: 100:[5, 44, 4620], Operations: ['77*60=4620']
Exploring Operation: 4620/44=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 4620/44=105
Current State: 100:[5, 105], Operations: ['77*60=4620', '4620/44=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[5, 77, 60, 44], Operations: []
Exploring Operation: 77-60=17, Resulting Numbers: [5, 44, 17]
Generated Node #0,0: 100:[5, 44, 17] Operation: 77-60=17
Exploring Operation: 77-44=33, Resulting Numbers: [5, 60, 33]
Generated Node #0,1: 100:[5, 60, 33] Operation: 77-44=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[5, 44, 17], Operations: ['77-60=17']
Exploring Operation: 5+44=49, Resulting Numbers: [17, 49]
Generated Node #0,0,0: 100:[17, 49] Operation: 5+44=49
Exploring Operation: 44-17=27, Resulting Numbers: [5, 27]
Generated Node #0,0,1: 100:[5, 27] Operation: 44-17=27
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[5, 27], Operations: ['77-60=17', '44-17=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[17, 49], Operations: ['77-60=17', '5+44=49']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,100 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 #0,1
Current State: 100:[5, 60, 33], Operations: ['77-44=33']
Exploring Operation: 60-33=27, Resulting Numbers: [5, 27]
Generated Node #0,1,0: 100:[5, 27] Operation: 60-33=27
Exploring Operation: 60+33=93, Resulting Numbers: [5, 93]
Generated Node #0,1,1: 100:[5, 93] Operation: 60+33=93
Moving to Node #0,1,0
Current State: 100:[5, 27], Operations: ['77-44=33', '60-33=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[5, 93], Operations: ['77-44=33', '60+33=93']
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,100 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 |
[
87,
89,
57,
47
] | 52 | [
"89-87=2",
"57+47=104",
"104/2=52"
] | Current State: 52:[87, 89, 57, 47], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [57, 47, 2]
Generated Node #2: [57, 47, 2] from Operation: 89-87=2
Current State: 52:[57, 47, 2], Operations: ['89-87=2']
Exploring Operation: 57+47=104, Resulting Numbers: [2, 104]
Generated Node #3: [2, 104] from Operation: 57+47=104
Current State: 52:[2, 104], Operations: ['89-87=2', '57+47=104']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[87, 89, 57, 47], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [57, 47, 2]
Generated Node #0,0: 52:[57, 47, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 52:[57, 47, 2], Operations: ['89-87=2']
Exploring Operation: 57-47=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 52:[2, 10] Operation: 57-47=10
Moving to Node #0,0,0
Current State: 52:[2, 10], Operations: ['89-87=2', '57-47=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,52 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
26,
38,
66,
31
] | 62 | [
"26+38=64",
"66-64=2",
"31*2=62"
] | Current State: 62:[26, 38, 66, 31], Operations: []
Exploring Operation: 26+38=64, Resulting Numbers: [66, 31, 64]
Generated Node #2: [66, 31, 64] from Operation: 26+38=64
Current State: 62:[66, 31, 64], Operations: ['26+38=64']
Exploring Operation: 66-64=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 66-64=2
Current State: 62:[31, 2], Operations: ['26+38=64', '66-64=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[26, 38, 66, 31], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [38, 66, 5]
Generated Node #0,0: 62:[38, 66, 5] Operation: 31-26=5
Exploring Operation: 38-26=12, Resulting Numbers: [66, 31, 12]
Generated Node #0,1: 62:[66, 31, 12] Operation: 38-26=12
Exploring Operation: 26+38=64, Resulting Numbers: [66, 31, 64]
Generated Node #0,2: 62:[66, 31, 64] Operation: 26+38=64
Exploring Operation: 66-38=28, Resulting Numbers: [26, 31, 28]
Generated Node #0,3: 62:[26, 31, 28] Operation: 66-38=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[66, 31, 64], Operations: ['26+38=64']
Exploring Operation: 66-31=35, Resulting Numbers: [64, 35]
Generated Node #0,2,0: 62:[64, 35] Operation: 66-31=35
Exploring Operation: 66+31=97, Resulting Numbers: [64, 97]
Generated Node #0,2,1: 62:[64, 97] Operation: 66+31=97
Exploring Operation: 66-64=2, Resulting Numbers: [31, 2]
Generated Node #0,2,2: 62:[31, 2] Operation: 66-64=2
Exploring Operation: 64-31=33, Resulting Numbers: [66, 33]
Generated Node #0,2,3: 62:[66, 33] Operation: 64-31=33
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[31, 2], Operations: ['26+38=64', '66-64=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[26, 38, 66, 31], Operations: []
Exploring Operation: 26+38=64, Resulting Numbers: [66, 31, 64]
Generated Node #0,2: 62:[66, 31, 64] Operation: 26+38=64
Moving to Node #0,2
Current State: 62:[66, 31, 64], Operations: ['26+38=64']
Exploring Operation: 66-64=2, Resulting Numbers: [31, 2]
Generated Node #0,2,2: 62:[31, 2] Operation: 66-64=2
Moving to Node #0,2,2
Current State: 62:[31, 2], Operations: ['26+38=64', '66-64=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
76,
14,
8,
90
] | 37 | [
"76*8=608",
"608-90=518",
"518/14=37"
] | Current State: 37:[76, 14, 8, 90], Operations: []
Exploring Operation: 76*8=608, Resulting Numbers: [14, 90, 608]
Generated Node #2: [14, 90, 608] from Operation: 76*8=608
Current State: 37:[14, 90, 608], Operations: ['76*8=608']
Exploring Operation: 608-90=518, Resulting Numbers: [14, 518]
Generated Node #3: [14, 518] from Operation: 608-90=518
Current State: 37:[14, 518], Operations: ['76*8=608', '608-90=518']
Exploring Operation: 518/14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[76, 14, 8, 90], Operations: []
Exploring Operation: 76-8=68, Resulting Numbers: [14, 90, 68]
Generated Node #0,0: 37:[14, 90, 68] Operation: 76-8=68
Exploring Operation: 76-14=62, Resulting Numbers: [8, 90, 62]
Generated Node #0,1: 37:[8, 90, 62] Operation: 76-14=62
Exploring Operation: 90-76=14, Resulting Numbers: [14, 8, 14]
Generated Node #0,2: 37:[14, 8, 14] Operation: 90-76=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[14, 8, 14], Operations: ['90-76=14']
Exploring Operation: 14+14=28, Resulting Numbers: [8, 28]
Generated Node #0,2,0: 37:[8, 28] Operation: 14+14=28
Exploring Operation: 8+14=22, Resulting Numbers: [14, 22]
Generated Node #0,2,1: 37:[14, 22] Operation: 8+14=22
Exploring Operation: 14+8=22, Resulting Numbers: [14, 22]
Generated Node #0,2,2: 37:[14, 22] Operation: 14+8=22
Moving to Node #0,2,0
Current State: 37:[8, 28], Operations: ['90-76=14', '14+14=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[14, 22], Operations: ['90-76=14', '8+14=22']
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,37 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[14, 22], Operations: ['90-76=14', '14+8=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,37 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[14, 90, 68], Operations: ['76-8=68']
Exploring Operation: 90-68=22, Resulting Numbers: [14, 22]
Generated Node #0,0,0: 37:[14, 22] Operation: 90-68=22
Exploring Operation: 90-14=76, Resulting Numbers: [68, 76]
Generated Node #0,0,1: 37:[68, 76] Operation: 90-14=76
Exploring Operation: 68-14=54, Resulting Numbers: [90, 54]
Generated Node #0,0,2: 37:[90, 54] Operation: 68-14=54
Moving to Node #0,0,0
Current State: 37:[14, 22], Operations: ['76-8=68', '90-68=22']
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,37 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[68, 76], Operations: ['76-8=68', '90-14=76']
Exploring Operation: 68*76=5168, Resulting Numbers: [5168]
5168,37 unequal: No Solution
Exploring Operation: 76-68=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 68+76=144, Resulting Numbers: [144]
144,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[90, 54], Operations: ['76-8=68', '68-14=54']
Exploring Operation: 90+54=144, Resulting Numbers: [144]
144,37 unequal: No Solution
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 90*54=4860, Resulting Numbers: [4860]
4860,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[8, 90, 62], Operations: ['76-14=62']
Exploring Operation: 62-8=54, Resulting Numbers: [90, 54]
Generated Node #0,1,0: 37:[90, 54] Operation: 62-8=54
Exploring Operation: 90-62=28, Resulting Numbers: [8, 28]
Generated Node #0,1,1: 37:[8, 28] Operation: 90-62=28
Exploring Operation: 90-8=82, Resulting Numbers: [62, 82]
Generated Node #0,1,2: 37:[62, 82] Operation: 90-8=82
Moving to Node #0,1,1
Current State: 37:[8, 28], Operations: ['76-14=62', '90-62=28']
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,37 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[90, 54], Operations: ['76-14=62', '62-8=54']
Exploring Operation: 90*54=4860, Resulting Numbers: [4860]
4860,37 unequal: No Solution
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 90+54=144, Resulting Numbers: [144]
144,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[62, 82], Operations: ['76-14=62', '90-8=82']
Exploring Operation: 62*82=5084, Resulting Numbers: [5084]
5084,37 unequal: No Solution
Exploring Operation: 62+82=144, Resulting Numbers: [144]
144,37 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,37 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 |
[
77,
77,
31,
91
] | 31 | [
"77-77=0",
"91*0=0",
"31+0=31"
] | Current State: 31:[77, 77, 31, 91], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [31, 91, 0]
Generated Node #2: [31, 91, 0] from Operation: 77-77=0
Current State: 31:[31, 91, 0], Operations: ['77-77=0']
Exploring Operation: 91*0=0, Resulting Numbers: [31, 0]
Generated Node #3: [31, 0] from Operation: 91*0=0
Current State: 31:[31, 0], Operations: ['77-77=0', '91*0=0']
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[77, 77, 31, 91], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [77, 31, 14]
Generated Node #0,0: 31:[77, 31, 14] Operation: 91-77=14
Exploring Operation: 77/77=1, Resulting Numbers: [31, 91, 1]
Generated Node #0,1: 31:[31, 91, 1] Operation: 77/77=1
Exploring Operation: 77-77=0, Resulting Numbers: [31, 91, 0]
Generated Node #0,2: 31:[31, 91, 0] Operation: 77-77=0
Exploring Operation: 91-77=14, Resulting Numbers: [77, 31, 14]
Generated Node #0,3: 31:[77, 31, 14] Operation: 91-77=14
Moving to Node #0,0
Current State: 31:[77, 31, 14], Operations: ['91-77=14']
Exploring Operation: 31+14=45, Resulting Numbers: [77, 45]
Generated Node #0,0,0: 31:[77, 45] Operation: 31+14=45
Exploring Operation: 77-14=63, Resulting Numbers: [31, 63]
Generated Node #0,0,1: 31:[31, 63] Operation: 77-14=63
Exploring Operation: 77+14=91, Resulting Numbers: [31, 91]
Generated Node #0,0,2: 31:[31, 91] Operation: 77+14=91
Exploring Operation: 77-31=46, Resulting Numbers: [14, 46]
Generated Node #0,0,3: 31:[14, 46] Operation: 77-31=46
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[31, 63], Operations: ['91-77=14', '77-14=63']
Exploring Operation: 31+63=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 31*63=1953, Resulting Numbers: [1953]
1953,31 unequal: No Solution
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,31 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 #0,0,3
Current State: 31:[14, 46], Operations: ['91-77=14', '77-31=46']
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 14*46=644, Resulting Numbers: [644]
644,31 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,31 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 #0,0,0
Current State: 31:[77, 45], Operations: ['91-77=14', '31+14=45']
Exploring Operation: 77*45=3465, Resulting Numbers: [3465]
3465,31 unequal: No Solution
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 77+45=122, Resulting Numbers: [122]
122,31 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 #0,0,2
Current State: 31:[31, 91], Operations: ['91-77=14', '77+14=91']
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 31*91=2821, Resulting Numbers: [2821]
2821,31 unequal: No Solution
Exploring Operation: 31+91=122, Resulting Numbers: [122]
122,31 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: 31:[77, 31, 14], Operations: ['91-77=14']
Exploring Operation: 31+14=45, Resulting Numbers: [77, 45]
Generated Node #0,3,0: 31:[77, 45] Operation: 31+14=45
Exploring Operation: 77-14=63, Resulting Numbers: [31, 63]
Generated Node #0,3,1: 31:[31, 63] Operation: 77-14=63
Exploring Operation: 77+14=91, Resulting Numbers: [31, 91]
Generated Node #0,3,2: 31:[31, 91] Operation: 77+14=91
Exploring Operation: 77-31=46, Resulting Numbers: [14, 46]
Generated Node #0,3,3: 31:[14, 46] Operation: 77-31=46
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 31:[31, 63], Operations: ['91-77=14', '77-14=63']
Exploring Operation: 31*63=1953, Resulting Numbers: [1953]
1953,31 unequal: No Solution
Exploring Operation: 31+63=94, Resulting Numbers: [94]
94,31 unequal: No Solution
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,31 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 #0,3,3
Current State: 31:[14, 46], Operations: ['91-77=14', '77-31=46']
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 14*46=644, Resulting Numbers: [644]
644,31 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 #0,3,0
Current State: 31:[77, 45], Operations: ['91-77=14', '31+14=45']
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 77*45=3465, Resulting Numbers: [3465]
3465,31 unequal: No Solution
Exploring Operation: 77+45=122, Resulting Numbers: [122]
122,31 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 #0,3,2
Current State: 31:[31, 91], Operations: ['91-77=14', '77+14=91']
Exploring Operation: 31*91=2821, Resulting Numbers: [2821]
2821,31 unequal: No Solution
Exploring Operation: 31+91=122, Resulting Numbers: [122]
122,31 unequal: No Solution
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,31 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: 31:[31, 91, 1], Operations: ['77/77=1']
Exploring Operation: 31/1=31, Resulting Numbers: [91, 31]
Generated Node #0,1,0: 31:[91, 31] Operation: 31/1=31
Exploring Operation: 31*1=31, Resulting Numbers: [91, 31]
Generated Node #0,1,1: 31:[91, 31] Operation: 31*1=31
Exploring Operation: 91-31=60, Resulting Numbers: [1, 60]
Generated Node #0,1,2: 31:[1, 60] Operation: 91-31=60
Exploring Operation: 91-1=90, Resulting Numbers: [31, 90]
Generated Node #0,1,3: 31:[31, 90] Operation: 91-1=90
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[1, 60], Operations: ['77/77=1', '91-31=60']
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,31 unequal: No Solution
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,31 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 #0,1,3
Current State: 31:[31, 90], Operations: ['77/77=1', '91-1=90']
Exploring Operation: 31+90=121, Resulting Numbers: [121]
121,31 unequal: No Solution
Exploring Operation: 31*90=2790, Resulting Numbers: [2790]
2790,31 unequal: No Solution
Exploring Operation: 90-31=59, Resulting Numbers: [59]
59,31 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 #0,1,0
Current State: 31:[91, 31], Operations: ['77/77=1', '31/1=31']
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 91*31=2821, Resulting Numbers: [2821]
2821,31 unequal: No Solution
Exploring Operation: 91+31=122, Resulting Numbers: [122]
122,31 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 #0,1,1
Current State: 31:[91, 31], Operations: ['77/77=1', '31*1=31']
Exploring Operation: 91*31=2821, Resulting Numbers: [2821]
2821,31 unequal: No Solution
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 91+31=122, Resulting Numbers: [122]
122,31 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: 31:[31, 91, 0], Operations: ['77-77=0']
Exploring Operation: 91*0=0, Resulting Numbers: [31, 0]
Generated Node #0,2,0: 31:[31, 0] Operation: 91*0=0
Exploring Operation: 91-31=60, Resulting Numbers: [0, 60]
Generated Node #0,2,1: 31:[0, 60] Operation: 91-31=60
Exploring Operation: 31+0=31, Resulting Numbers: [91, 31]
Generated Node #0,2,2: 31:[91, 31] Operation: 31+0=31
Exploring Operation: 31-0=31, Resulting Numbers: [91, 31]
Generated Node #0,2,3: 31:[91, 31] Operation: 31-0=31
Moving to Node #0,2,0
Current State: 31:[31, 0], Operations: ['77-77=0', '91*0=0']
Exploring Operation: 31-0=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[77, 77, 31, 91], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [31, 91, 0]
Generated Node #0,2: 31:[31, 91, 0] Operation: 77-77=0
Moving to Node #0,2
Current State: 31:[31, 91, 0], Operations: ['77-77=0']
Exploring Operation: 91*0=0, Resulting Numbers: [31, 0]
Generated Node #0,2,0: 31:[31, 0] Operation: 91*0=0
Moving to Node #0,2,0
Current State: 31:[31, 0], Operations: ['77-77=0', '91*0=0']
Exploring Operation: 31-0=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.946181 | hs_4 | mult_heuristic |
[
21,
18,
52,
27
] | 72 | [
"52-21=31",
"31-27=4",
"18*4=72"
] | Current State: 72:[21, 18, 52, 27], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [18, 27, 31]
Generated Node #2: [18, 27, 31] from Operation: 52-21=31
Current State: 72:[18, 27, 31], Operations: ['52-21=31']
Exploring Operation: 31-27=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 31-27=4
Current State: 72:[18, 4], Operations: ['52-21=31', '31-27=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[21, 18, 52, 27], Operations: []
Exploring Operation: 21+52=73, Resulting Numbers: [18, 27, 73]
Generated Node #0,0: 72:[18, 27, 73] Operation: 21+52=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[18, 27, 73], Operations: ['21+52=73']
Exploring Operation: 27-18=9, Resulting Numbers: [73, 9]
Generated Node #0,0,0: 72:[73, 9] Operation: 27-18=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[73, 9], Operations: ['21+52=73', '27-18=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
8,
92,
94,
3
] | 54 | [
"92+94=186",
"186/3=62",
"62-8=54"
] | Current State: 54:[8, 92, 94, 3], Operations: []
Exploring Operation: 92+94=186, Resulting Numbers: [8, 3, 186]
Generated Node #2: [8, 3, 186] from Operation: 92+94=186
Current State: 54:[8, 3, 186], Operations: ['92+94=186']
Exploring Operation: 186/3=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 186/3=62
Current State: 54:[8, 62], Operations: ['92+94=186', '186/3=62']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[8, 92, 94, 3], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [92, 3, 86]
Generated Node #0,0: 54:[92, 3, 86] Operation: 94-8=86
Exploring Operation: 92-3=89, Resulting Numbers: [8, 94, 89]
Generated Node #0,1: 54:[8, 94, 89] Operation: 92-3=89
Exploring Operation: 94-92=2, Resulting Numbers: [8, 3, 2]
Generated Node #0,2: 54:[8, 3, 2] Operation: 94-92=2
Exploring Operation: 92-8=84, Resulting Numbers: [94, 3, 84]
Generated Node #0,3: 54:[94, 3, 84] Operation: 92-8=84
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[8, 3, 2], Operations: ['94-92=2']
Exploring Operation: 8/2=4, Resulting Numbers: [3, 4]
Generated Node #0,2,0: 54:[3, 4] Operation: 8/2=4
Exploring Operation: 8-3=5, Resulting Numbers: [2, 5]
Generated Node #0,2,1: 54:[2, 5] Operation: 8-3=5
Exploring Operation: 8+2=10, Resulting Numbers: [3, 10]
Generated Node #0,2,2: 54:[3, 10] Operation: 8+2=10
Exploring Operation: 8-2=6, Resulting Numbers: [3, 6]
Generated Node #0,2,3: 54:[3, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 54:[3, 6], Operations: ['94-92=2', '8-2=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,54 unequal: No Solution
No 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: 54:[3, 4], Operations: ['94-92=2', '8/2=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No 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: 54:[2, 5], Operations: ['94-92=2', '8-3=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No 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: 54:[3, 10], Operations: ['94-92=2', '8+2=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,54 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: 54:[92, 3, 86], Operations: ['94-8=86']
Exploring Operation: 92+3=95, Resulting Numbers: [86, 95]
Generated Node #0,0,0: 54:[86, 95] Operation: 92+3=95
Exploring Operation: 92-86=6, Resulting Numbers: [3, 6]
Generated Node #0,0,1: 54:[3, 6] Operation: 92-86=6
Exploring Operation: 92-3=89, Resulting Numbers: [86, 89]
Generated Node #0,0,2: 54:[86, 89] Operation: 92-3=89
Exploring Operation: 86-3=83, Resulting Numbers: [92, 83]
Generated Node #0,0,3: 54:[92, 83] Operation: 86-3=83
Moving to Node #0,0,1
Current State: 54:[3, 6], Operations: ['94-8=86', '92-86=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[92, 83], Operations: ['94-8=86', '86-3=83']
Exploring Operation: 92*83=7636, Resulting Numbers: [7636]
7636,54 unequal: No Solution
Exploring Operation: 92+83=175, Resulting Numbers: [175]
175,54 unequal: No Solution
Exploring Operation: 92-83=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[86, 89], Operations: ['94-8=86', '92-3=89']
Exploring Operation: 86*89=7654, Resulting Numbers: [7654]
7654,54 unequal: No Solution
Exploring Operation: 86+89=175, Resulting Numbers: [175]
175,54 unequal: No Solution
Exploring Operation: 89-86=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[86, 95], Operations: ['94-8=86', '92+3=95']
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 86*95=8170, Resulting Numbers: [8170]
8170,54 unequal: No Solution
Exploring Operation: 86+95=181, Resulting Numbers: [181]
181,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[94, 3, 84], Operations: ['92-8=84']
Exploring Operation: 94-3=91, Resulting Numbers: [84, 91]
Generated Node #0,3,0: 54:[84, 91] Operation: 94-3=91
Exploring Operation: 84-3=81, Resulting Numbers: [94, 81]
Generated Node #0,3,1: 54:[94, 81] Operation: 84-3=81
Exploring Operation: 84/3=28, Resulting Numbers: [94, 28]
Generated Node #0,3,2: 54:[94, 28] Operation: 84/3=28
Exploring Operation: 94-84=10, Resulting Numbers: [3, 10]
Generated Node #0,3,3: 54:[3, 10] Operation: 94-84=10
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 54:[3, 10], Operations: ['92-8=84', '94-84=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,54 unequal: No Solution
No 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: 54:[94, 28], Operations: ['92-8=84', '84/3=28']
Exploring Operation: 94+28=122, Resulting Numbers: [122]
122,54 unequal: No Solution
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,54 unequal: No Solution
Exploring Operation: 94*28=2632, Resulting Numbers: [2632]
2632,54 unequal: No Solution
No 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: 54:[84, 91], Operations: ['92-8=84', '94-3=91']
Exploring Operation: 84*91=7644, Resulting Numbers: [7644]
7644,54 unequal: No Solution
Exploring Operation: 91-84=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 84+91=175, Resulting Numbers: [175]
175,54 unequal: No Solution
No 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: 54:[94, 81], Operations: ['92-8=84', '84-3=81']
Exploring Operation: 94+81=175, Resulting Numbers: [175]
175,54 unequal: No Solution
Exploring Operation: 94*81=7614, Resulting Numbers: [7614]
7614,54 unequal: No Solution
Exploring Operation: 94-81=13, Resulting Numbers: [13]
13,54 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: 54:[8, 94, 89], Operations: ['92-3=89']
Exploring Operation: 8+94=102, Resulting Numbers: [89, 102]
Generated Node #0,1,0: 54:[89, 102] Operation: 8+94=102
Exploring Operation: 94-8=86, Resulting Numbers: [89, 86]
Generated Node #0,1,1: 54:[89, 86] Operation: 94-8=86
Exploring Operation: 94-89=5, Resulting Numbers: [8, 5]
Generated Node #0,1,2: 54:[8, 5] Operation: 94-89=5
Exploring Operation: 89-8=81, Resulting Numbers: [94, 81]
Generated Node #0,1,3: 54:[94, 81] Operation: 89-8=81
Moving to Node #0,1,2
Current State: 54:[8, 5], Operations: ['92-3=89', '94-89=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[94, 81], Operations: ['92-3=89', '89-8=81']
Exploring Operation: 94+81=175, Resulting Numbers: [175]
175,54 unequal: No Solution
Exploring Operation: 94-81=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 94*81=7614, Resulting Numbers: [7614]
7614,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[89, 86], Operations: ['92-3=89', '94-8=86']
Exploring Operation: 89-86=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 89+86=175, Resulting Numbers: [175]
175,54 unequal: No Solution
Exploring Operation: 89*86=7654, Resulting Numbers: [7654]
7654,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[89, 102], Operations: ['92-3=89', '8+94=102']
Exploring Operation: 89+102=191, Resulting Numbers: [191]
191,54 unequal: No Solution
Exploring Operation: 102-89=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 89*102=9078, Resulting Numbers: [9078]
9078,54 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 |
[
4,
18,
54,
92
] | 93 | [
"4+92=96",
"54/18=3",
"96-3=93"
] | Current State: 93:[4, 18, 54, 92], Operations: []
Exploring Operation: 4+92=96, Resulting Numbers: [18, 54, 96]
Generated Node #2: [18, 54, 96] from Operation: 4+92=96
Current State: 93:[18, 54, 96], Operations: ['4+92=96']
Exploring Operation: 54/18=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 54/18=3
Current State: 93:[96, 3], Operations: ['4+92=96', '54/18=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[4, 18, 54, 92], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [4, 92, 3]
Generated Node #0,0: 93:[4, 92, 3] Operation: 54/18=3
Exploring Operation: 92-54=38, Resulting Numbers: [4, 18, 38]
Generated Node #0,1: 93:[4, 18, 38] Operation: 92-54=38
Exploring Operation: 54-18=36, Resulting Numbers: [4, 92, 36]
Generated Node #0,2: 93:[4, 92, 36] Operation: 54-18=36
Exploring Operation: 18+54=72, Resulting Numbers: [4, 92, 72]
Generated Node #0,3: 93:[4, 92, 72] Operation: 18+54=72
Exploring Operation: 4+18=22, Resulting Numbers: [54, 92, 22]
Generated Node #0,4: 93:[54, 92, 22] Operation: 4+18=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[4, 92, 3], Operations: ['54/18=3']
Exploring Operation: 92-4=88, Resulting Numbers: [3, 88]
Generated Node #0,0,0: 93:[3, 88] Operation: 92-4=88
Exploring Operation: 92+3=95, Resulting Numbers: [4, 95]
Generated Node #0,0,1: 93:[4, 95] Operation: 92+3=95
Exploring Operation: 4+92=96, Resulting Numbers: [3, 96]
Generated Node #0,0,2: 93:[3, 96] Operation: 4+92=96
Exploring Operation: 4+3=7, Resulting Numbers: [92, 7]
Generated Node #0,0,3: 93:[92, 7] Operation: 4+3=7
Exploring Operation: 4-3=1, Resulting Numbers: [92, 1]
Generated Node #0,0,4: 93:[92, 1] Operation: 4-3=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[4, 95], Operations: ['54/18=3', '92+3=95']
Exploring Operation: 4*95=380, Resulting Numbers: [380]
380,93 unequal: No Solution
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[3, 96], Operations: ['54/18=3', '4+92=96']
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[4, 18, 54, 92], Operations: []
Exploring Operation: 54/18=3, Resulting Numbers: [4, 92, 3]
Generated Node #0,0: 93:[4, 92, 3] Operation: 54/18=3
Moving to Node #0,0
Current State: 93:[4, 92, 3], Operations: ['54/18=3']
Exploring Operation: 4+92=96, Resulting Numbers: [3, 96]
Generated Node #0,0,2: 93:[3, 96] Operation: 4+92=96
Moving to Node #0,0,2
Current State: 93:[3, 96], Operations: ['54/18=3', '4+92=96']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
18,
25,
55,
9
] | 60 | [
"18/9=2",
"55-25=30",
"2*30=60"
] | Current State: 60:[18, 25, 55, 9], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [25, 55, 2]
Generated Node #2: [25, 55, 2] from Operation: 18/9=2
Current State: 60:[25, 55, 2], Operations: ['18/9=2']
Exploring Operation: 55-25=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 55-25=30
Current State: 60:[2, 30], Operations: ['18/9=2', '55-25=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[18, 25, 55, 9], Operations: []
Exploring Operation: 55-25=30, Resulting Numbers: [18, 9, 30]
Generated Node #0,0: 60:[18, 9, 30] Operation: 55-25=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[18, 9, 30], Operations: ['55-25=30']
Exploring Operation: 18/9=2, Resulting Numbers: [30, 2]
Generated Node #0,0,0: 60:[30, 2] Operation: 18/9=2
Moving to Node #0,0,0
Current State: 60:[30, 2], Operations: ['55-25=30', '18/9=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[18, 25, 55, 9], Operations: []
Exploring Operation: 55-25=30, Resulting Numbers: [18, 9, 30]
Generated Node #0,0: 60:[18, 9, 30] Operation: 55-25=30
Moving to Node #0,0
Current State: 60:[18, 9, 30], Operations: ['55-25=30']
Exploring Operation: 18/9=2, Resulting Numbers: [30, 2]
Generated Node #0,0,0: 60:[30, 2] Operation: 18/9=2
Moving to Node #0,0,0
Current State: 60:[30, 2], Operations: ['55-25=30', '18/9=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
83,
48,
68,
52
] | 80 | [
"68-52=16",
"48/16=3",
"83-3=80"
] | Current State: 80:[83, 48, 68, 52], Operations: []
Exploring Operation: 68-52=16, Resulting Numbers: [83, 48, 16]
Generated Node #2: [83, 48, 16] from Operation: 68-52=16
Current State: 80:[83, 48, 16], Operations: ['68-52=16']
Exploring Operation: 48/16=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 48/16=3
Current State: 80:[83, 3], Operations: ['68-52=16', '48/16=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[83, 48, 68, 52], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [83, 68, 4]
Generated Node #0,0: 80:[83, 68, 4] Operation: 52-48=4
Exploring Operation: 83-68=15, Resulting Numbers: [48, 52, 15]
Generated Node #0,1: 80:[48, 52, 15] Operation: 83-68=15
Exploring Operation: 68-52=16, Resulting Numbers: [83, 48, 16]
Generated Node #0,2: 80:[83, 48, 16] Operation: 68-52=16
Exploring Operation: 83-48=35, Resulting Numbers: [68, 52, 35]
Generated Node #0,3: 80:[68, 52, 35] Operation: 83-48=35
Exploring Operation: 68-48=20, Resulting Numbers: [83, 52, 20]
Generated Node #0,4: 80:[83, 52, 20] Operation: 68-48=20
Moving to Node #0,2
Current State: 80:[83, 48, 16], Operations: ['68-52=16']
Exploring Operation: 83-16=67, Resulting Numbers: [48, 67]
Generated Node #0,2,0: 80:[48, 67] Operation: 83-16=67
Exploring Operation: 48/16=3, Resulting Numbers: [83, 3]
Generated Node #0,2,1: 80:[83, 3] Operation: 48/16=3
Exploring Operation: 48-16=32, Resulting Numbers: [83, 32]
Generated Node #0,2,2: 80:[83, 32] Operation: 48-16=32
Exploring Operation: 83-48=35, Resulting Numbers: [16, 35]
Generated Node #0,2,3: 80:[16, 35] Operation: 83-48=35
Exploring Operation: 48+16=64, Resulting Numbers: [83, 64]
Generated Node #0,2,4: 80:[83, 64] Operation: 48+16=64
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[83, 3], Operations: ['68-52=16', '48/16=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[83, 48, 68, 52], Operations: []
Exploring Operation: 68-52=16, Resulting Numbers: [83, 48, 16]
Generated Node #0,2: 80:[83, 48, 16] Operation: 68-52=16
Moving to Node #0,2
Current State: 80:[83, 48, 16], Operations: ['68-52=16']
Exploring Operation: 48/16=3, Resulting Numbers: [83, 3]
Generated Node #0,2,1: 80:[83, 3] Operation: 48/16=3
Moving to Node #0,2,1
Current State: 80:[83, 3], Operations: ['68-52=16', '48/16=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
47,
79,
53,
84
] | 95 | [
"47+79=126",
"84-53=31",
"126-31=95"
] | Current State: 95:[47, 79, 53, 84], Operations: []
Exploring Operation: 47+79=126, Resulting Numbers: [53, 84, 126]
Generated Node #2: [53, 84, 126] from Operation: 47+79=126
Current State: 95:[53, 84, 126], Operations: ['47+79=126']
Exploring Operation: 84-53=31, Resulting Numbers: [126, 31]
Generated Node #3: [126, 31] from Operation: 84-53=31
Current State: 95:[126, 31], Operations: ['47+79=126', '84-53=31']
Exploring Operation: 126-31=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[47, 79, 53, 84], Operations: []
Exploring Operation: 47+53=100, Resulting Numbers: [79, 84, 100]
Generated Node #0,0: 95:[79, 84, 100] Operation: 47+53=100
Exploring Operation: 53-47=6, Resulting Numbers: [79, 84, 6]
Generated Node #0,1: 95:[79, 84, 6] Operation: 53-47=6
Exploring Operation: 84-53=31, Resulting Numbers: [47, 79, 31]
Generated Node #0,2: 95:[47, 79, 31] Operation: 84-53=31
Exploring Operation: 79-47=32, Resulting Numbers: [53, 84, 32]
Generated Node #0,3: 95:[53, 84, 32] Operation: 79-47=32
Exploring Operation: 79-53=26, Resulting Numbers: [47, 84, 26]
Generated Node #0,4: 95:[47, 84, 26] Operation: 79-53=26
Moving to Node #0,1
Current State: 95:[79, 84, 6], Operations: ['53-47=6']
Exploring Operation: 84/6=14, Resulting Numbers: [79, 14]
Generated Node #0,1,0: 95:[79, 14] Operation: 84/6=14
Exploring Operation: 79+6=85, Resulting Numbers: [84, 85]
Generated Node #0,1,1: 95:[84, 85] Operation: 79+6=85
Exploring Operation: 84+6=90, Resulting Numbers: [79, 90]
Generated Node #0,1,2: 95:[79, 90] Operation: 84+6=90
Exploring Operation: 79-6=73, Resulting Numbers: [84, 73]
Generated Node #0,1,3: 95:[84, 73] Operation: 79-6=73
Exploring Operation: 84-79=5, Resulting Numbers: [6, 5]
Generated Node #0,1,4: 95:[6, 5] Operation: 84-79=5
Moving to Node #0,0
Current State: 95:[79, 84, 100], Operations: ['47+53=100']
Exploring Operation: 79+100=179, Resulting Numbers: [84, 179]
Generated Node #0,0,0: 95:[84, 179] Operation: 79+100=179
Exploring Operation: 100-84=16, Resulting Numbers: [79, 16]
Generated Node #0,0,1: 95:[79, 16] Operation: 100-84=16
Exploring Operation: 84-79=5, Resulting Numbers: [100, 5]
Generated Node #0,0,2: 95:[100, 5] Operation: 84-79=5
Exploring Operation: 79+84=163, Resulting Numbers: [100, 163]
Generated Node #0,0,3: 95:[100, 163] Operation: 79+84=163
Exploring Operation: 100-79=21, Resulting Numbers: [84, 21]
Generated Node #0,0,4: 95:[84, 21] Operation: 100-79=21
Moving to Node #0,4
Current State: 95:[47, 84, 26], Operations: ['79-53=26']
Exploring Operation: 84+26=110, Resulting Numbers: [47, 110]
Generated Node #0,4,0: 95:[47, 110] Operation: 84+26=110
Exploring Operation: 47+84=131, Resulting Numbers: [26, 131]
Generated Node #0,4,1: 95:[26, 131] Operation: 47+84=131
Exploring Operation: 47-26=21, Resulting Numbers: [84, 21]
Generated Node #0,4,2: 95:[84, 21] Operation: 47-26=21
Exploring Operation: 47+26=73, Resulting Numbers: [84, 73]
Generated Node #0,4,3: 95:[84, 73] Operation: 47+26=73
Exploring Operation: 84-47=37, Resulting Numbers: [26, 37]
Generated Node #0,4,4: 95:[26, 37] Operation: 84-47=37
Moving to Node #0,2
Current State: 95:[47, 79, 31], Operations: ['84-53=31']
Exploring Operation: 47-31=16, Resulting Numbers: [79, 16]
Generated Node #0,2,0: 95:[79, 16] Operation: 47-31=16
Exploring Operation: 47+79=126, Resulting Numbers: [31, 126]
Generated Node #0,2,1: 95:[31, 126] Operation: 47+79=126
Exploring Operation: 79+31=110, Resulting Numbers: [47, 110]
Generated Node #0,2,2: 95:[47, 110] Operation: 79+31=110
Exploring Operation: 79-47=32, Resulting Numbers: [31, 32]
Generated Node #0,2,3: 95:[31, 32] Operation: 79-47=32
Exploring Operation: 47+31=78, Resulting Numbers: [79, 78]
Generated Node #0,2,4: 95:[79, 78] Operation: 47+31=78
Moving to Node #0,3
Current State: 95:[53, 84, 32], Operations: ['79-47=32']
Exploring Operation: 53-32=21, Resulting Numbers: [84, 21]
Generated Node #0,3,0: 95:[84, 21] Operation: 53-32=21
Exploring Operation: 84+32=116, Resulting Numbers: [53, 116]
Generated Node #0,3,1: 95:[53, 116] Operation: 84+32=116
Exploring Operation: 53+84=137, Resulting Numbers: [32, 137]
Generated Node #0,3,2: 95:[32, 137] Operation: 53+84=137
Exploring Operation: 84-53=31, Resulting Numbers: [32, 31]
Generated Node #0,3,3: 95:[32, 31] Operation: 84-53=31
Exploring Operation: 53+32=85, Resulting Numbers: [84, 85]
Generated Node #0,3,4: 95:[84, 85] Operation: 53+32=85
Moving to Node #0,1,4
Current State: 95:[6, 5], Operations: ['53-47=6', '84-79=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[100, 5], Operations: ['47+53=100', '84-79=5']
Exploring Operation: 100*5=500, Resulting Numbers: [500]
500,95 unequal: No Solution
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[47, 79, 53, 84], Operations: []
Exploring Operation: 47+53=100, Resulting Numbers: [79, 84, 100]
Generated Node #0,0: 95:[79, 84, 100] Operation: 47+53=100
Moving to Node #0,0
Current State: 95:[79, 84, 100], Operations: ['47+53=100']
Exploring Operation: 84-79=5, Resulting Numbers: [100, 5]
Generated Node #0,0,2: 95:[100, 5] Operation: 84-79=5
Moving to Node #0,0,2
Current State: 95:[100, 5], Operations: ['47+53=100', '84-79=5']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.966146 | hs_5 | mult_heuristic |
[
46,
2,
36,
5
] | 59 | [
"46-5=41",
"36/2=18",
"41+18=59"
] | Current State: 59:[46, 2, 36, 5], Operations: []
Exploring Operation: 46-5=41, Resulting Numbers: [2, 36, 41]
Generated Node #2: [2, 36, 41] from Operation: 46-5=41
Current State: 59:[2, 36, 41], Operations: ['46-5=41']
Exploring Operation: 36/2=18, Resulting Numbers: [41, 18]
Generated Node #3: [41, 18] from Operation: 36/2=18
Current State: 59:[41, 18], Operations: ['46-5=41', '36/2=18']
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[46, 2, 36, 5], Operations: []
Exploring Operation: 2*36=72, Resulting Numbers: [46, 5, 72]
Generated Node #0,0: 59:[46, 5, 72] Operation: 2*36=72
Exploring Operation: 2*5=10, Resulting Numbers: [46, 36, 10]
Generated Node #0,1: 59:[46, 36, 10] Operation: 2*5=10
Exploring Operation: 46+5=51, Resulting Numbers: [2, 36, 51]
Generated Node #0,2: 59:[2, 36, 51] Operation: 46+5=51
Exploring Operation: 2+36=38, Resulting Numbers: [46, 5, 38]
Generated Node #0,3: 59:[46, 5, 38] Operation: 2+36=38
Exploring Operation: 46+2=48, Resulting Numbers: [36, 5, 48]
Generated Node #0,4: 59:[36, 5, 48] Operation: 46+2=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[46, 5, 72], Operations: ['2*36=72']
Exploring Operation: 46-5=41, Resulting Numbers: [72, 41]
Generated Node #0,0,0: 59:[72, 41] Operation: 46-5=41
Exploring Operation: 72-5=67, Resulting Numbers: [46, 67]
Generated Node #0,0,1: 59:[46, 67] Operation: 72-5=67
Exploring Operation: 46+5=51, Resulting Numbers: [72, 51]
Generated Node #0,0,2: 59:[72, 51] Operation: 46+5=51
Exploring Operation: 5+72=77, Resulting Numbers: [46, 77]
Generated Node #0,0,3: 59:[46, 77] Operation: 5+72=77
Exploring Operation: 72-46=26, Resulting Numbers: [5, 26]
Generated Node #0,0,4: 59:[5, 26] Operation: 72-46=26
Moving to Node #0,0,1
Current State: 59:[46, 67], Operations: ['2*36=72', '72-5=67']
Exploring Operation: 46+67=113, Resulting Numbers: [113]
113,59 unequal: No Solution
Exploring Operation: 46*67=3082, Resulting Numbers: [3082]
3082,59 unequal: No Solution
Exploring Operation: 67-46=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[72, 51], Operations: ['2*36=72', '46+5=51']
Exploring Operation: 72*51=3672, Resulting Numbers: [3672]
3672,59 unequal: No Solution
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 72+51=123, Resulting Numbers: [123]
123,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[72, 41], Operations: ['2*36=72', '46-5=41']
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,59 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[46, 77], Operations: ['2*36=72', '5+72=77']
Exploring Operation: 46+77=123, Resulting Numbers: [123]
123,59 unequal: No Solution
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 46*77=3542, Resulting Numbers: [3542]
3542,59 unequal: No Solution
Moving to Node #0,0,4
Current State: 59:[5, 26], Operations: ['2*36=72', '72-46=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[46, 36, 10], Operations: ['2*5=10']
Exploring Operation: 46+10=56, Resulting Numbers: [36, 56]
Generated Node #0,1,0: 59:[36, 56] Operation: 46+10=56
Exploring Operation: 36+10=46, Resulting Numbers: [46, 46]
Generated Node #0,1,1: 59:[46, 46] Operation: 36+10=46
Exploring Operation: 46+36=82, Resulting Numbers: [10, 82]
Generated Node #0,1,2: 59:[10, 82] Operation: 46+36=82
Exploring Operation: 36-10=26, Resulting Numbers: [46, 26]
Generated Node #0,1,3: 59:[46, 26] Operation: 36-10=26
Exploring Operation: 46-10=36, Resulting Numbers: [36, 36]
Generated Node #0,1,4: 59:[36, 36] Operation: 46-10=36
Moving to Node #0,1,0
Current State: 59:[36, 56], Operations: ['2*5=10', '46+10=56']
Exploring Operation: 36*56=2016, Resulting Numbers: [2016]
2016,59 unequal: No Solution
Exploring Operation: 36+56=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[46, 46], Operations: ['2*5=10', '36+10=46']
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 46*46=2116, Resulting Numbers: [2116]
2116,59 unequal: No Solution
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[46, 26], Operations: ['2*5=10', '36-10=26']
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 46*26=1196, Resulting Numbers: [1196]
1196,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[36, 36], Operations: ['2*5=10', '46-10=36']
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,59 unequal: No Solution
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[10, 82], Operations: ['2*5=10', '46+36=82']
Exploring Operation: 10+82=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 82-10=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 10*82=820, Resulting Numbers: [820]
820,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[2, 36, 51], Operations: ['46+5=51']
Exploring Operation: 2+51=53, Resulting Numbers: [36, 53]
Generated Node #0,2,0: 59:[36, 53] Operation: 2+51=53
Exploring Operation: 36-2=34, Resulting Numbers: [51, 34]
Generated Node #0,2,1: 59:[51, 34] Operation: 36-2=34
Exploring Operation: 2*36=72, Resulting Numbers: [51, 72]
Generated Node #0,2,2: 59:[51, 72] Operation: 2*36=72
Exploring Operation: 2+36=38, Resulting Numbers: [51, 38]
Generated Node #0,2,3: 59:[51, 38] Operation: 2+36=38
Exploring Operation: 51-2=49, Resulting Numbers: [36, 49]
Generated Node #0,2,4: 59:[36, 49] Operation: 51-2=49
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 59:[51, 72], Operations: ['46+5=51', '2*36=72']
Exploring Operation: 51+72=123, Resulting Numbers: [123]
123,59 unequal: No Solution
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,59 unequal: No Solution
Exploring Operation: 51*72=3672, Resulting Numbers: [3672]
3672,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 59:[36, 53], Operations: ['46+5=51', '2+51=53']
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 36*53=1908, Resulting Numbers: [1908]
1908,59 unequal: No Solution
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 59:[51, 38], Operations: ['46+5=51', '2+36=38']
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 59:[51, 34], Operations: ['46+5=51', '36-2=34']
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 51*34=1734, Resulting Numbers: [1734]
1734,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 59:[36, 49], Operations: ['46+5=51', '51-2=49']
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,59 unequal: No Solution
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[46, 5, 38], Operations: ['2+36=38']
Exploring Operation: 46+5=51, Resulting Numbers: [38, 51]
Generated Node #0,3,0: 59:[38, 51] Operation: 46+5=51
Exploring Operation: 46-5=41, Resulting Numbers: [38, 41]
Generated Node #0,3,1: 59:[38, 41] Operation: 46-5=41
Exploring Operation: 5+38=43, Resulting Numbers: [46, 43]
Generated Node #0,3,2: 59:[46, 43] Operation: 5+38=43
Exploring Operation: 38-5=33, Resulting Numbers: [46, 33]
Generated Node #0,3,3: 59:[46, 33] Operation: 38-5=33
Exploring Operation: 46+38=84, Resulting Numbers: [5, 84]
Generated Node #0,3,4: 59:[5, 84] Operation: 46+38=84
Moving to Node #0,3,0
Current State: 59:[38, 51], Operations: ['2+36=38', '46+5=51']
Exploring Operation: 38+51=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 38*51=1938, Resulting Numbers: [1938]
1938,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[46, 43], Operations: ['2+36=38', '5+38=43']
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,59 unequal: No Solution
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[38, 41], Operations: ['2+36=38', '46-5=41']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 38*41=1558, Resulting Numbers: [1558]
1558,59 unequal: No Solution
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[46, 33], Operations: ['2+36=38', '38-5=33']
Exploring Operation: 46*33=1518, Resulting Numbers: [1518]
1518,59 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[5, 84], Operations: ['2+36=38', '46+38=84']
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 59:[36, 5, 48], Operations: ['46+2=48']
Exploring Operation: 48-5=43, Resulting Numbers: [36, 43]
Generated Node #0,4,0: 59:[36, 43] Operation: 48-5=43
Exploring Operation: 36+5=41, Resulting Numbers: [48, 41]
Generated Node #0,4,1: 59:[48, 41] Operation: 36+5=41
Exploring Operation: 36-5=31, Resulting Numbers: [48, 31]
Generated Node #0,4,2: 59:[48, 31] Operation: 36-5=31
Exploring Operation: 5+48=53, Resulting Numbers: [36, 53]
Generated Node #0,4,3: 59:[36, 53] Operation: 5+48=53
Exploring Operation: 36+48=84, Resulting Numbers: [5, 84]
Generated Node #0,4,4: 59:[5, 84] Operation: 36+48=84
Moving to Node #0,4,1
Current State: 59:[48, 41], Operations: ['46+2=48', '36+5=41']
Exploring Operation: 48+41=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 48*41=1968, Resulting Numbers: [1968]
1968,59 unequal: No Solution
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[36, 53], Operations: ['46+2=48', '5+48=53']
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 36*53=1908, Resulting Numbers: [1908]
1908,59 unequal: No Solution
Moving to Node #0,4,0
Current State: 59:[36, 43], Operations: ['46+2=48', '48-5=43']
Exploring Operation: 36+43=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 36*43=1548, Resulting Numbers: [1548]
1548,59 unequal: No Solution
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Moving to Node #0,4,2
Current State: 59:[48, 31], Operations: ['46+2=48', '36-5=31']
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[5, 84], Operations: ['46+2=48', '36+48=84']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,59 unequal: No Solution
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,59 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 |
[
50,
77,
10,
43
] | 21 | [
"50-43=7",
"77/7=11",
"10+11=21"
] | Current State: 21:[50, 77, 10, 43], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [77, 10, 7]
Generated Node #2: [77, 10, 7] from Operation: 50-43=7
Current State: 21:[77, 10, 7], Operations: ['50-43=7']
Exploring Operation: 77/7=11, Resulting Numbers: [10, 11]
Generated Node #3: [10, 11] from Operation: 77/7=11
Current State: 21:[10, 11], Operations: ['50-43=7', '77/7=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[50, 77, 10, 43], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [77, 43, 5]
Generated Node #0,0: 21:[77, 43, 5] Operation: 50/10=5
Exploring Operation: 77-50=27, Resulting Numbers: [10, 43, 27]
Generated Node #0,1: 21:[10, 43, 27] Operation: 77-50=27
Exploring Operation: 77-43=34, Resulting Numbers: [50, 10, 34]
Generated Node #0,2: 21:[50, 10, 34] Operation: 77-43=34
Exploring Operation: 50-43=7, Resulting Numbers: [77, 10, 7]
Generated Node #0,3: 21:[77, 10, 7] Operation: 50-43=7
Moving to Node #0,1
Current State: 21:[10, 43, 27], Operations: ['77-50=27']
Exploring Operation: 43-27=16, Resulting Numbers: [10, 16]
Generated Node #0,1,0: 21:[10, 16] Operation: 43-27=16
Exploring Operation: 10+43=53, Resulting Numbers: [27, 53]
Generated Node #0,1,1: 21:[27, 53] Operation: 10+43=53
Exploring Operation: 27-10=17, Resulting Numbers: [43, 17]
Generated Node #0,1,2: 21:[43, 17] Operation: 27-10=17
Exploring Operation: 43-10=33, Resulting Numbers: [27, 33]
Generated Node #0,1,3: 21:[27, 33] Operation: 43-10=33
Moving to Node #0,2
Current State: 21:[50, 10, 34], Operations: ['77-43=34']
Exploring Operation: 50/10=5, Resulting Numbers: [34, 5]
Generated Node #0,2,0: 21:[34, 5] Operation: 50/10=5
Exploring Operation: 50-34=16, Resulting Numbers: [10, 16]
Generated Node #0,2,1: 21:[10, 16] Operation: 50-34=16
Exploring Operation: 34-10=24, Resulting Numbers: [50, 24]
Generated Node #0,2,2: 21:[50, 24] Operation: 34-10=24
Exploring Operation: 50-10=40, Resulting Numbers: [34, 40]
Generated Node #0,2,3: 21:[34, 40] Operation: 50-10=40
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[10, 16], Operations: ['77-43=34', '50-34=16']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[34, 5], Operations: ['77-43=34', '50/10=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,21 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[50, 24], Operations: ['77-43=34', '34-10=24']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 50*24=1200, Resulting Numbers: [1200]
1200,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[34, 40], Operations: ['77-43=34', '50-10=40']
Exploring Operation: 34*40=1360, Resulting Numbers: [1360]
1360,21 unequal: No Solution
Exploring Operation: 34+40=74, Resulting Numbers: [74]
74,21 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,21 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: 21:[77, 10, 7], Operations: ['50-43=7']
Exploring Operation: 77/7=11, Resulting Numbers: [10, 11]
Generated Node #0,3,0: 21:[10, 11] Operation: 77/7=11
Exploring Operation: 77-7=70, Resulting Numbers: [10, 70]
Generated Node #0,3,1: 21:[10, 70] Operation: 77-7=70
Exploring Operation: 77-10=67, Resulting Numbers: [7, 67]
Generated Node #0,3,2: 21:[7, 67] Operation: 77-10=67
Exploring Operation: 10-7=3, Resulting Numbers: [77, 3]
Generated Node #0,3,3: 21:[77, 3] Operation: 10-7=3
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 21:[10, 11], Operations: ['50-43=7', '77/7=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,21 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[50, 77, 10, 43], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [77, 10, 7]
Generated Node #0,3: 21:[77, 10, 7] Operation: 50-43=7
Moving to Node #0,3
Current State: 21:[77, 10, 7], Operations: ['50-43=7']
Exploring Operation: 77/7=11, Resulting Numbers: [10, 11]
Generated Node #0,3,0: 21:[10, 11] Operation: 77/7=11
Moving to Node #0,3,0
Current State: 21:[10, 11], Operations: ['50-43=7', '77/7=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
3,
23,
59,
16
] | 80 | [
"23-16=7",
"3*7=21",
"59+21=80"
] | Current State: 80:[3, 23, 59, 16], Operations: []
Exploring Operation: 23-16=7, Resulting Numbers: [3, 59, 7]
Generated Node #2: [3, 59, 7] from Operation: 23-16=7
Current State: 80:[3, 59, 7], Operations: ['23-16=7']
Exploring Operation: 3*7=21, Resulting Numbers: [59, 21]
Generated Node #3: [59, 21] from Operation: 3*7=21
Current State: 80:[59, 21], Operations: ['23-16=7', '3*7=21']
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[3, 23, 59, 16], Operations: []
Exploring Operation: 59-16=43, Resulting Numbers: [3, 23, 43]
Generated Node #0,0: 80:[3, 23, 43] Operation: 59-16=43
Exploring Operation: 59+16=75, Resulting Numbers: [3, 23, 75]
Generated Node #0,1: 80:[3, 23, 75] Operation: 59+16=75
Exploring Operation: 23+59=82, Resulting Numbers: [3, 16, 82]
Generated Node #0,2: 80:[3, 16, 82] Operation: 23+59=82
Exploring Operation: 23-3=20, Resulting Numbers: [59, 16, 20]
Generated Node #0,3: 80:[59, 16, 20] Operation: 23-3=20
Exploring Operation: 59-23=36, Resulting Numbers: [3, 16, 36]
Generated Node #0,4: 80:[3, 16, 36] Operation: 59-23=36
Moving to Node #0,2
Current State: 80:[3, 16, 82], Operations: ['23+59=82']
Exploring Operation: 3+82=85, Resulting Numbers: [16, 85]
Generated Node #0,2,0: 80:[16, 85] Operation: 3+82=85
Exploring Operation: 3+16=19, Resulting Numbers: [82, 19]
Generated Node #0,2,1: 80:[82, 19] Operation: 3+16=19
Exploring Operation: 82-3=79, Resulting Numbers: [16, 79]
Generated Node #0,2,2: 80:[16, 79] Operation: 82-3=79
Exploring Operation: 16-3=13, Resulting Numbers: [82, 13]
Generated Node #0,2,3: 80:[82, 13] Operation: 16-3=13
Exploring Operation: 3*16=48, Resulting Numbers: [82, 48]
Generated Node #0,2,4: 80:[82, 48] Operation: 3*16=48
Moving to Node #0,4
Current State: 80:[3, 16, 36], Operations: ['59-23=36']
Exploring Operation: 36/3=12, Resulting Numbers: [16, 12]
Generated Node #0,4,0: 80:[16, 12] Operation: 36/3=12
Exploring Operation: 3+36=39, Resulting Numbers: [16, 39]
Generated Node #0,4,1: 80:[16, 39] Operation: 3+36=39
Exploring Operation: 3+16=19, Resulting Numbers: [36, 19]
Generated Node #0,4,2: 80:[36, 19] Operation: 3+16=19
Exploring Operation: 36-16=20, Resulting Numbers: [3, 20]
Generated Node #0,4,3: 80:[3, 20] Operation: 36-16=20
Exploring Operation: 16-3=13, Resulting Numbers: [36, 13]
Generated Node #0,4,4: 80:[36, 13] Operation: 16-3=13
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 80:[16, 39], Operations: ['59-23=36', '3+36=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 16*39=624, Resulting Numbers: [624]
624,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 80:[3, 20], Operations: ['59-23=36', '36-16=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 80:[16, 12], Operations: ['59-23=36', '36/3=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,80 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 80:[36, 19], Operations: ['59-23=36', '3+16=19']
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 80:[36, 13], Operations: ['59-23=36', '16-3=13']
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,80 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: 80:[3, 23, 43], Operations: ['59-16=43']
Exploring Operation: 23-3=20, Resulting Numbers: [43, 20]
Generated Node #0,0,0: 80:[43, 20] Operation: 23-3=20
Exploring Operation: 3+23=26, Resulting Numbers: [43, 26]
Generated Node #0,0,1: 80:[43, 26] Operation: 3+23=26
Exploring Operation: 3+43=46, Resulting Numbers: [23, 46]
Generated Node #0,0,2: 80:[23, 46] Operation: 3+43=46
Exploring Operation: 43-3=40, Resulting Numbers: [23, 40]
Generated Node #0,0,3: 80:[23, 40] Operation: 43-3=40
Exploring Operation: 43-23=20, Resulting Numbers: [3, 20]
Generated Node #0,0,4: 80:[3, 20] Operation: 43-23=20
Moving to Node #0,1
Current State: 80:[3, 23, 75], Operations: ['59+16=75']
Exploring Operation: 3+75=78, Resulting Numbers: [23, 78]
Generated Node #0,1,0: 80:[23, 78] Operation: 3+75=78
Exploring Operation: 75/3=25, Resulting Numbers: [23, 25]
Generated Node #0,1,1: 80:[23, 25] Operation: 75/3=25
Exploring Operation: 23-3=20, Resulting Numbers: [75, 20]
Generated Node #0,1,2: 80:[75, 20] Operation: 23-3=20
Exploring Operation: 75-3=72, Resulting Numbers: [23, 72]
Generated Node #0,1,3: 80:[23, 72] Operation: 75-3=72
Exploring Operation: 3+23=26, Resulting Numbers: [75, 26]
Generated Node #0,1,4: 80:[75, 26] Operation: 3+23=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[23, 78], Operations: ['59+16=75', '3+75=78']
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 23*78=1794, Resulting Numbers: [1794]
1794,80 unequal: No Solution
Exploring Operation: 23+78=101, Resulting Numbers: [101]
101,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[75, 20], Operations: ['59+16=75', '23-3=20']
Exploring Operation: 75*20=1500, Resulting Numbers: [1500]
1500,80 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 75+20=95, Resulting Numbers: [95]
95,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[23, 25], Operations: ['59+16=75', '75/3=25']
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,80 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[23, 72], Operations: ['59+16=75', '75-3=72']
Exploring Operation: 23*72=1656, Resulting Numbers: [1656]
1656,80 unequal: No Solution
Exploring Operation: 23+72=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 72-23=49, Resulting Numbers: [49]
49,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 80:[75, 26], Operations: ['59+16=75', '3+23=26']
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Exploring Operation: 75*26=1950, Resulting Numbers: [1950]
1950,80 unequal: No Solution
Exploring Operation: 75+26=101, Resulting Numbers: [101]
101,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 80:[59, 16, 20], Operations: ['23-3=20']
Exploring Operation: 59-16=43, Resulting Numbers: [20, 43]
Generated Node #0,3,0: 80:[20, 43] Operation: 59-16=43
Exploring Operation: 59+16=75, Resulting Numbers: [20, 75]
Generated Node #0,3,1: 80:[20, 75] Operation: 59+16=75
Exploring Operation: 59-20=39, Resulting Numbers: [16, 39]
Generated Node #0,3,2: 80:[16, 39] Operation: 59-20=39
Exploring Operation: 20-16=4, Resulting Numbers: [59, 4]
Generated Node #0,3,3: 80:[59, 4] Operation: 20-16=4
Exploring Operation: 59+20=79, Resulting Numbers: [16, 79]
Generated Node #0,3,4: 80:[16, 79] Operation: 59+20=79
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 80:[16, 39], Operations: ['23-3=20', '59-20=39']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 16*39=624, Resulting Numbers: [624]
624,80 unequal: No Solution
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 80:[16, 79], Operations: ['23-3=20', '59+20=79']
Exploring Operation: 16*79=1264, Resulting Numbers: [1264]
1264,80 unequal: No Solution
Exploring Operation: 16+79=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 80:[20, 43], Operations: ['23-3=20', '59-16=43']
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 20*43=860, Resulting Numbers: [860]
860,80 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 80:[20, 75], Operations: ['23-3=20', '59+16=75']
Exploring Operation: 20+75=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 20*75=1500, Resulting Numbers: [1500]
1500,80 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 80:[59, 4], Operations: ['23-3=20', '20-16=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,80 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 80:[16, 79], Operations: ['23+59=82', '82-3=79']
Exploring Operation: 16*79=1264, Resulting Numbers: [1264]
1264,80 unequal: No Solution
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 16+79=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Moving to Node #0,0,4
Current State: 80:[3, 20], Operations: ['59-16=43', '43-23=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[43, 20], Operations: ['59-16=43', '23-3=20']
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,80 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[82, 19], Operations: ['23+59=82', '3+16=19']
Exploring Operation: 82+19=101, Resulting Numbers: [101]
101,80 unequal: No Solution
Exploring Operation: 82*19=1558, Resulting Numbers: [1558]
1558,80 unequal: No Solution
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[23, 40], Operations: ['59-16=43', '43-3=40']
Exploring Operation: 23+40=63, Resulting Numbers: [63]
63,80 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 23*40=920, Resulting Numbers: [920]
920,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[16, 85], Operations: ['23+59=82', '3+82=85']
Exploring Operation: 16+85=101, Resulting Numbers: [101]
101,80 unequal: No Solution
Exploring Operation: 16*85=1360, Resulting Numbers: [1360]
1360,80 unequal: No Solution
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[82, 13], Operations: ['23+59=82', '16-3=13']
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Exploring Operation: 82+13=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 82*13=1066, Resulting Numbers: [1066]
1066,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[43, 26], Operations: ['59-16=43', '3+23=26']
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 43+26=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Exploring Operation: 43*26=1118, Resulting Numbers: [1118]
1118,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[23, 46], Operations: ['59-16=43', '3+43=46']
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 23*46=1058, Resulting Numbers: [1058]
1058,80 unequal: No Solution
Exploring Operation: 23+46=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,80 unequal: No Solution
Moving to Node #0,2,4
Current State: 80:[82, 48], Operations: ['23+59=82', '3*16=48']
Exploring Operation: 82+48=130, Resulting Numbers: [130]
130,80 unequal: No Solution
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 82*48=3936, Resulting Numbers: [3936]
3936,80 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
33,
2,
66,
51
] | 75 | [
"33+66=99",
"51+99=150",
"150/2=75"
] | Current State: 75:[33, 2, 66, 51], Operations: []
Exploring Operation: 33+66=99, Resulting Numbers: [2, 51, 99]
Generated Node #2: [2, 51, 99] from Operation: 33+66=99
Current State: 75:[2, 51, 99], Operations: ['33+66=99']
Exploring Operation: 51+99=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 51+99=150
Current State: 75:[2, 150], Operations: ['33+66=99', '51+99=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[33, 2, 66, 51], Operations: []
Exploring Operation: 66-51=15, Resulting Numbers: [33, 2, 15]
Generated Node #0,0: 75:[33, 2, 15] Operation: 66-51=15
Exploring Operation: 33+51=84, Resulting Numbers: [2, 66, 84]
Generated Node #0,1: 75:[2, 66, 84] Operation: 33+51=84
Exploring Operation: 51-33=18, Resulting Numbers: [2, 66, 18]
Generated Node #0,2: 75:[2, 66, 18] Operation: 51-33=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[33, 2, 15], Operations: ['66-51=15']
Exploring Operation: 33-15=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 75:[2, 18] Operation: 33-15=18
Exploring Operation: 33-2=31, Resulting Numbers: [15, 31]
Generated Node #0,0,1: 75:[15, 31] Operation: 33-2=31
Exploring Operation: 33*2=66, Resulting Numbers: [15, 66]
Generated Node #0,0,2: 75:[15, 66] Operation: 33*2=66
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[2, 18], Operations: ['66-51=15', '33-15=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[15, 31], Operations: ['66-51=15', '33-2=31']
Exploring Operation: 15*31=465, Resulting Numbers: [465]
465,75 unequal: No Solution
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,75 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[15, 66], Operations: ['66-51=15', '33*2=66']
Exploring Operation: 15*66=990, Resulting Numbers: [990]
990,75 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 15+66=81, Resulting Numbers: [81]
81,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[2, 66, 18], Operations: ['51-33=18']
Exploring Operation: 66+18=84, Resulting Numbers: [2, 84]
Generated Node #0,2,0: 75:[2, 84] Operation: 66+18=84
Exploring Operation: 18-2=16, Resulting Numbers: [66, 16]
Generated Node #0,2,1: 75:[66, 16] Operation: 18-2=16
Exploring Operation: 2+66=68, Resulting Numbers: [18, 68]
Generated Node #0,2,2: 75:[18, 68] Operation: 2+66=68
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[2, 84], Operations: ['51-33=18', '66+18=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[66, 16], Operations: ['51-33=18', '18-2=16']
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 66*16=1056, Resulting Numbers: [1056]
1056,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 75:[18, 68], Operations: ['51-33=18', '2+66=68']
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,75 unequal: No Solution
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[2, 66, 84], Operations: ['33+51=84']
Exploring Operation: 84-66=18, Resulting Numbers: [2, 18]
Generated Node #0,1,0: 75:[2, 18] Operation: 84-66=18
Exploring Operation: 2+66=68, Resulting Numbers: [84, 68]
Generated Node #0,1,1: 75:[84, 68] Operation: 2+66=68
Exploring Operation: 84-2=82, Resulting Numbers: [66, 82]
Generated Node #0,1,2: 75:[66, 82] Operation: 84-2=82
Moving to Node #0,1,0
Current State: 75:[2, 18], Operations: ['33+51=84', '84-66=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[84, 68], Operations: ['33+51=84', '2+66=68']
Exploring Operation: 84*68=5712, Resulting Numbers: [5712]
5712,75 unequal: No Solution
Exploring Operation: 84-68=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 84+68=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[66, 82], Operations: ['33+51=84', '84-2=82']
Exploring Operation: 66+82=148, Resulting Numbers: [148]
148,75 unequal: No Solution
Exploring Operation: 82-66=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 66*82=5412, Resulting Numbers: [5412]
5412,75 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 |
[
82,
13,
3,
22
] | 65 | [
"82+22=104",
"13*3=39",
"104-39=65"
] | Current State: 65:[82, 13, 3, 22], Operations: []
Exploring Operation: 82+22=104, Resulting Numbers: [13, 3, 104]
Generated Node #2: [13, 3, 104] from Operation: 82+22=104
Current State: 65:[13, 3, 104], Operations: ['82+22=104']
Exploring Operation: 13*3=39, Resulting Numbers: [104, 39]
Generated Node #3: [104, 39] from Operation: 13*3=39
Current State: 65:[104, 39], Operations: ['82+22=104', '13*3=39']
Exploring Operation: 104-39=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[82, 13, 3, 22], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [82, 13, 66]
Generated Node #0,0: 65:[82, 13, 66] Operation: 3*22=66
Exploring Operation: 82-13=69, Resulting Numbers: [3, 22, 69]
Generated Node #0,1: 65:[3, 22, 69] Operation: 82-13=69
Exploring Operation: 82-22=60, Resulting Numbers: [13, 3, 60]
Generated Node #0,2: 65:[13, 3, 60] Operation: 82-22=60
Exploring Operation: 82-3=79, Resulting Numbers: [13, 22, 79]
Generated Node #0,3: 65:[13, 22, 79] Operation: 82-3=79
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[13, 3, 60], Operations: ['82-22=60']
Exploring Operation: 13-3=10, Resulting Numbers: [60, 10]
Generated Node #0,2,0: 65:[60, 10] Operation: 13-3=10
Exploring Operation: 3+60=63, Resulting Numbers: [13, 63]
Generated Node #0,2,1: 65:[13, 63] Operation: 3+60=63
Exploring Operation: 60/3=20, Resulting Numbers: [13, 20]
Generated Node #0,2,2: 65:[13, 20] Operation: 60/3=20
Exploring Operation: 13+3=16, Resulting Numbers: [60, 16]
Generated Node #0,2,3: 65:[60, 16] Operation: 13+3=16
Moving to Node #0,2,1
Current State: 65:[13, 63], Operations: ['82-22=60', '3+60=63']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,65 unequal: No Solution
Exploring Operation: 13*63=819, Resulting Numbers: [819]
819,65 unequal: No Solution
Exploring Operation: 13+63=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[13, 20], Operations: ['82-22=60', '60/3=20']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[60, 16], Operations: ['82-22=60', '13+3=16']
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,65 unequal: No Solution
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[60, 10], Operations: ['82-22=60', '13-3=10']
Exploring Operation: 60*10=600, Resulting Numbers: [600]
600,65 unequal: No Solution
Exploring Operation: 60/10=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 60+10=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[3, 22, 69], Operations: ['82-13=69']
Exploring Operation: 69-3=66, Resulting Numbers: [22, 66]
Generated Node #0,1,0: 65:[22, 66] Operation: 69-3=66
Exploring Operation: 3+22=25, Resulting Numbers: [69, 25]
Generated Node #0,1,1: 65:[69, 25] Operation: 3+22=25
Exploring Operation: 22-3=19, Resulting Numbers: [69, 19]
Generated Node #0,1,2: 65:[69, 19] Operation: 22-3=19
Exploring Operation: 3*22=66, Resulting Numbers: [69, 66]
Generated Node #0,1,3: 65:[69, 66] Operation: 3*22=66
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 65:[69, 66], Operations: ['82-13=69', '3*22=66']
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 69+66=135, Resulting Numbers: [135]
135,65 unequal: No Solution
Exploring Operation: 69*66=4554, Resulting Numbers: [4554]
4554,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[22, 66], Operations: ['82-13=69', '69-3=66']
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,65 unequal: No Solution
Exploring Operation: 22*66=1452, Resulting Numbers: [1452]
1452,65 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:[69, 19], Operations: ['82-13=69', '22-3=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,65 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,65 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,65 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:[69, 25], Operations: ['82-13=69', '3+22=25']
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 69*25=1725, Resulting Numbers: [1725]
1725,65 unequal: No Solution
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,65 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:[82, 13, 66], Operations: ['3*22=66']
Exploring Operation: 66-13=53, Resulting Numbers: [82, 53]
Generated Node #0,0,0: 65:[82, 53] Operation: 66-13=53
Exploring Operation: 82-66=16, Resulting Numbers: [13, 16]
Generated Node #0,0,1: 65:[13, 16] Operation: 82-66=16
Exploring Operation: 82-13=69, Resulting Numbers: [66, 69]
Generated Node #0,0,2: 65:[66, 69] Operation: 82-13=69
Exploring Operation: 82+13=95, Resulting Numbers: [66, 95]
Generated Node #0,0,3: 65:[66, 95] Operation: 82+13=95
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 65:[13, 16], Operations: ['3*22=66', '82-66=16']
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,65 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,65 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:[66, 69], Operations: ['3*22=66', '82-13=69']
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 66*69=4554, Resulting Numbers: [4554]
4554,65 unequal: No Solution
Exploring Operation: 66+69=135, Resulting Numbers: [135]
135,65 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:[82, 53], Operations: ['3*22=66', '66-13=53']
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 82+53=135, Resulting Numbers: [135]
135,65 unequal: No Solution
Exploring Operation: 82*53=4346, Resulting Numbers: [4346]
4346,65 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 #0,0,3
Current State: 65:[66, 95], Operations: ['3*22=66', '82+13=95']
Exploring Operation: 66*95=6270, Resulting Numbers: [6270]
6270,65 unequal: No Solution
Exploring Operation: 66+95=161, Resulting Numbers: [161]
161,65 unequal: No Solution
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,65 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 #0,3
Current State: 65:[13, 22, 79], Operations: ['82-3=79']
Exploring Operation: 13+22=35, Resulting Numbers: [79, 35]
Generated Node #0,3,0: 65:[79, 35] Operation: 13+22=35
Exploring Operation: 22-13=9, Resulting Numbers: [79, 9]
Generated Node #0,3,1: 65:[79, 9] Operation: 22-13=9
Exploring Operation: 79-13=66, Resulting Numbers: [22, 66]
Generated Node #0,3,2: 65:[22, 66] Operation: 79-13=66
Exploring Operation: 79-22=57, Resulting Numbers: [13, 57]
Generated Node #0,3,3: 65:[13, 57] Operation: 79-22=57
Moving to Node #0,3,3
Current State: 65:[13, 57], Operations: ['82-3=79', '79-22=57']
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[22, 66], Operations: ['82-3=79', '79-13=66']
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 22*66=1452, Resulting Numbers: [1452]
1452,65 unequal: No Solution
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,65 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[79, 9], Operations: ['82-3=79', '22-13=9']
Exploring Operation: 79*9=711, Resulting Numbers: [711]
711,65 unequal: No Solution
Exploring Operation: 79+9=88, Resulting Numbers: [88]
88,65 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[79, 35], Operations: ['82-3=79', '13+22=35']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 79*35=2765, Resulting Numbers: [2765]
2765,65 unequal: No Solution
Exploring Operation: 79+35=114, Resulting Numbers: [114]
114,65 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 |
[
92,
29,
61,
39
] | 41 | [
"92-29=63",
"61-39=22",
"63-22=41"
] | Current State: 41:[92, 29, 61, 39], Operations: []
Exploring Operation: 92-29=63, Resulting Numbers: [61, 39, 63]
Generated Node #2: [61, 39, 63] from Operation: 92-29=63
Current State: 41:[61, 39, 63], Operations: ['92-29=63']
Exploring Operation: 61-39=22, Resulting Numbers: [63, 22]
Generated Node #3: [63, 22] from Operation: 61-39=22
Current State: 41:[63, 22], Operations: ['92-29=63', '61-39=22']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[92, 29, 61, 39], Operations: []
Exploring Operation: 92-29=63, Resulting Numbers: [61, 39, 63]
Generated Node #0,0: 41:[61, 39, 63] Operation: 92-29=63
Exploring Operation: 92-61=31, Resulting Numbers: [29, 39, 31]
Generated Node #0,1: 41:[29, 39, 31] Operation: 92-61=31
Exploring Operation: 92-39=53, Resulting Numbers: [29, 61, 53]
Generated Node #0,2: 41:[29, 61, 53] Operation: 92-39=53
Moving to Node #0,1
Current State: 41:[29, 39, 31], Operations: ['92-61=31']
Exploring Operation: 39-29=10, Resulting Numbers: [31, 10]
Generated Node #0,1,0: 41:[31, 10] Operation: 39-29=10
Exploring Operation: 29+39=68, Resulting Numbers: [31, 68]
Generated Node #0,1,1: 41:[31, 68] Operation: 29+39=68
Exploring Operation: 29+31=60, Resulting Numbers: [39, 60]
Generated Node #0,1,2: 41:[39, 60] Operation: 29+31=60
Moving to Node #0,0
Current State: 41:[61, 39, 63], Operations: ['92-29=63']
Exploring Operation: 63-61=2, Resulting Numbers: [39, 2]
Generated Node #0,0,0: 41:[39, 2] Operation: 63-61=2
Exploring Operation: 63-39=24, Resulting Numbers: [61, 24]
Generated Node #0,0,1: 41:[61, 24] Operation: 63-39=24
Exploring Operation: 61-39=22, Resulting Numbers: [63, 22]
Generated Node #0,0,2: 41:[63, 22] Operation: 61-39=22
Moving to Node #0,2
Current State: 41:[29, 61, 53], Operations: ['92-39=53']
Exploring Operation: 61-29=32, Resulting Numbers: [53, 32]
Generated Node #0,2,0: 41:[53, 32] Operation: 61-29=32
Exploring Operation: 61-53=8, Resulting Numbers: [29, 8]
Generated Node #0,2,1: 41:[29, 8] Operation: 61-53=8
Exploring Operation: 53-29=24, Resulting Numbers: [61, 24]
Generated Node #0,2,2: 41:[61, 24] Operation: 53-29=24
Moving to Node #0,1,2
Current State: 41:[39, 60], Operations: ['92-61=31', '29+31=60']
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 39*60=2340, Resulting Numbers: [2340]
2340,41 unequal: No Solution
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[53, 32], Operations: ['92-39=53', '61-29=32']
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,41 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[31, 68], Operations: ['92-61=31', '29+39=68']
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,41 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[61, 24], Operations: ['92-29=63', '63-39=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 61*24=1464, Resulting Numbers: [1464]
1464,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[61, 24], Operations: ['92-39=53', '53-29=24']
Exploring Operation: 61*24=1464, Resulting Numbers: [1464]
1464,41 unequal: No Solution
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,41 unequal: No Solution
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[31, 10], Operations: ['92-61=31', '39-29=10']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,41 unequal: No Solution
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[92, 29, 61, 39], Operations: []
Exploring Operation: 92-61=31, Resulting Numbers: [29, 39, 31]
Generated Node #0,1: 41:[29, 39, 31] Operation: 92-61=31
Moving to Node #0,1
Current State: 41:[29, 39, 31], Operations: ['92-61=31']
Exploring Operation: 39-29=10, Resulting Numbers: [31, 10]
Generated Node #0,1,0: 41:[31, 10] Operation: 39-29=10
Moving to Node #0,1,0
Current State: 41:[31, 10], Operations: ['92-61=31', '39-29=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.971354 | hs_3 | sum_heuristic |
[
71,
77,
8,
89
] | 25 | [
"89-77=12",
"8*12=96",
"96-71=25"
] | Current State: 25:[71, 77, 8, 89], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [71, 8, 12]
Generated Node #2: [71, 8, 12] from Operation: 89-77=12
Current State: 25:[71, 8, 12], Operations: ['89-77=12']
Exploring Operation: 8*12=96, Resulting Numbers: [71, 96]
Generated Node #3: [71, 96] from Operation: 8*12=96
Current State: 25:[71, 96], Operations: ['89-77=12', '8*12=96']
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[71, 77, 8, 89], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [8, 89, 6]
Generated Node #0,0: 25:[8, 89, 6] Operation: 77-71=6
Exploring Operation: 71-8=63, Resulting Numbers: [77, 89, 63]
Generated Node #0,1: 25:[77, 89, 63] Operation: 71-8=63
Exploring Operation: 89-77=12, Resulting Numbers: [71, 8, 12]
Generated Node #0,2: 25:[71, 8, 12] Operation: 89-77=12
Exploring Operation: 77-8=69, Resulting Numbers: [71, 89, 69]
Generated Node #0,3: 25:[71, 89, 69] Operation: 77-8=69
Exploring Operation: 89-71=18, Resulting Numbers: [77, 8, 18]
Generated Node #0,4: 25:[77, 8, 18] Operation: 89-71=18
Moving to Node #0,2
Current State: 25:[71, 8, 12], Operations: ['89-77=12']
Exploring Operation: 12-8=4, Resulting Numbers: [71, 4]
Generated Node #0,2,0: 25:[71, 4] Operation: 12-8=4
Exploring Operation: 71+8=79, Resulting Numbers: [12, 79]
Generated Node #0,2,1: 25:[12, 79] Operation: 71+8=79
Exploring Operation: 71-8=63, Resulting Numbers: [12, 63]
Generated Node #0,2,2: 25:[12, 63] Operation: 71-8=63
Exploring Operation: 71-12=59, Resulting Numbers: [8, 59]
Generated Node #0,2,3: 25:[8, 59] Operation: 71-12=59
Exploring Operation: 8+12=20, Resulting Numbers: [71, 20]
Generated Node #0,2,4: 25:[71, 20] Operation: 8+12=20
Moving to Node #0,4
Current State: 25:[77, 8, 18], Operations: ['89-71=18']
Exploring Operation: 77+8=85, Resulting Numbers: [18, 85]
Generated Node #0,4,0: 25:[18, 85] Operation: 77+8=85
Exploring Operation: 8+18=26, Resulting Numbers: [77, 26]
Generated Node #0,4,1: 25:[77, 26] Operation: 8+18=26
Exploring Operation: 18-8=10, Resulting Numbers: [77, 10]
Generated Node #0,4,2: 25:[77, 10] Operation: 18-8=10
Exploring Operation: 77-18=59, Resulting Numbers: [8, 59]
Generated Node #0,4,3: 25:[8, 59] Operation: 77-18=59
Exploring Operation: 77-8=69, Resulting Numbers: [18, 69]
Generated Node #0,4,4: 25:[18, 69] Operation: 77-8=69
Moving to Node #0,0
Current State: 25:[8, 89, 6], Operations: ['77-71=6']
Exploring Operation: 89-6=83, Resulting Numbers: [8, 83]
Generated Node #0,0,0: 25:[8, 83] Operation: 89-6=83
Exploring Operation: 8+89=97, Resulting Numbers: [6, 97]
Generated Node #0,0,1: 25:[6, 97] Operation: 8+89=97
Exploring Operation: 8-6=2, Resulting Numbers: [89, 2]
Generated Node #0,0,2: 25:[89, 2] Operation: 8-6=2
Exploring Operation: 89-8=81, Resulting Numbers: [6, 81]
Generated Node #0,0,3: 25:[6, 81] Operation: 89-8=81
Exploring Operation: 8+6=14, Resulting Numbers: [89, 14]
Generated Node #0,0,4: 25:[89, 14] Operation: 8+6=14
Moving to Node #0,1
Current State: 25:[77, 89, 63], Operations: ['71-8=63']
Exploring Operation: 89-77=12, Resulting Numbers: [63, 12]
Generated Node #0,1,0: 25:[63, 12] Operation: 89-77=12
Exploring Operation: 77-63=14, Resulting Numbers: [89, 14]
Generated Node #0,1,1: 25:[89, 14] Operation: 77-63=14
Exploring Operation: 89-63=26, Resulting Numbers: [77, 26]
Generated Node #0,1,2: 25:[77, 26] Operation: 89-63=26
Exploring Operation: 77+89=166, Resulting Numbers: [63, 166]
Generated Node #0,1,3: 25:[63, 166] Operation: 77+89=166
Exploring Operation: 77+63=140, Resulting Numbers: [89, 140]
Generated Node #0,1,4: 25:[89, 140] Operation: 77+63=140
Moving to Node #0,3
Current State: 25:[71, 89, 69], Operations: ['77-8=69']
Exploring Operation: 71-69=2, Resulting Numbers: [89, 2]
Generated Node #0,3,0: 25:[89, 2] Operation: 71-69=2
Exploring Operation: 89-71=18, Resulting Numbers: [69, 18]
Generated Node #0,3,1: 25:[69, 18] Operation: 89-71=18
Exploring Operation: 89-69=20, Resulting Numbers: [71, 20]
Generated Node #0,3,2: 25:[71, 20] Operation: 89-69=20
Exploring Operation: 71+69=140, Resulting Numbers: [89, 140]
Generated Node #0,3,3: 25:[89, 140] Operation: 71+69=140
Exploring Operation: 71+89=160, Resulting Numbers: [69, 160]
Generated Node #0,3,4: 25:[69, 160] Operation: 71+89=160
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[69, 18], Operations: ['77-8=69', '89-71=18']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,25 unequal: No Solution
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[71, 20], Operations: ['77-8=69', '89-69=20']
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 71*20=1420, Resulting Numbers: [1420]
1420,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[89, 2], Operations: ['77-8=69', '71-69=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[89, 140], Operations: ['77-8=69', '71+69=140']
Exploring Operation: 89+140=229, Resulting Numbers: [229]
229,25 unequal: No Solution
Exploring Operation: 89*140=12460, Resulting Numbers: [12460]
12460,25 unequal: No Solution
Exploring Operation: 140-89=51, Resulting Numbers: [51]
51,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 25:[69, 160], Operations: ['77-8=69', '71+89=160']
Exploring Operation: 69*160=11040, Resulting Numbers: [11040]
11040,25 unequal: No Solution
Exploring Operation: 69+160=229, Resulting Numbers: [229]
229,25 unequal: No Solution
Exploring Operation: 160-69=91, Resulting Numbers: [91]
91,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 25:[8, 59], Operations: ['89-77=12', '71-12=59']
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 8*59=472, Resulting Numbers: [472]
472,25 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Moving to Node #0,4,3
Current State: 25:[8, 59], Operations: ['89-71=18', '77-18=59']
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 8*59=472, Resulting Numbers: [472]
472,25 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[12, 63], Operations: ['89-77=12', '71-8=63']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 12+63=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 12*63=756, Resulting Numbers: [756]
756,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[63, 12], Operations: ['71-8=63', '89-77=12']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[71, 4], Operations: ['89-77=12', '12-8=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,25 unequal: No Solution
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Moving to Node #0,4,4
Current State: 25:[18, 69], Operations: ['89-71=18', '77-8=69']
Exploring Operation: 18+69=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 18*69=1242, Resulting Numbers: [1242]
1242,25 unequal: No Solution
Moving to Node #0,2,4
Current State: 25:[71, 20], Operations: ['89-77=12', '8+12=20']
Exploring Operation: 71*20=1420, Resulting Numbers: [1420]
1420,25 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[77, 26], Operations: ['71-8=63', '89-63=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,25 unequal: No Solution
Exploring Operation: 77*26=2002, Resulting Numbers: [2002]
2002,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[77, 26], Operations: ['89-71=18', '8+18=26']
Exploring Operation: 77*26=2002, Resulting Numbers: [2002]
2002,25 unequal: No Solution
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,25 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[6, 81], Operations: ['77-71=6', '89-8=81']
Exploring Operation: 6*81=486, Resulting Numbers: [486]
486,25 unequal: No Solution
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[77, 10], Operations: ['89-71=18', '18-8=10']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 77*10=770, Resulting Numbers: [770]
770,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[8, 83], Operations: ['77-71=6', '89-6=83']
Exploring Operation: 8*83=664, Resulting Numbers: [664]
664,25 unequal: No Solution
Exploring Operation: 8+83=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[12, 79], Operations: ['89-77=12', '71+8=79']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[89, 2], Operations: ['77-71=6', '8-6=2']
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,25 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[18, 85], Operations: ['89-71=18', '77+8=85']
Exploring Operation: 18+85=103, Resulting Numbers: [103]
103,25 unequal: No Solution
Exploring Operation: 18*85=1530, Resulting Numbers: [1530]
1530,25 unequal: No Solution
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[89, 14], Operations: ['77-71=6', '8+6=14']
Exploring Operation: 89*14=1246, Resulting Numbers: [1246]
1246,25 unequal: No Solution
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 89+14=103, Resulting Numbers: [103]
103,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[89, 14], Operations: ['71-8=63', '77-63=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 89*14=1246, Resulting Numbers: [1246]
1246,25 unequal: No Solution
Exploring Operation: 89+14=103, Resulting Numbers: [103]
103,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[6, 97], Operations: ['77-71=6', '8+89=97']
Exploring Operation: 6+97=103, Resulting Numbers: [103]
103,25 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 6*97=582, Resulting Numbers: [582]
582,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[63, 166], Operations: ['71-8=63', '77+89=166']
Exploring Operation: 63*166=10458, Resulting Numbers: [10458]
10458,25 unequal: No Solution
Exploring Operation: 166-63=103, Resulting Numbers: [103]
103,25 unequal: No Solution
Exploring Operation: 63+166=229, Resulting Numbers: [229]
229,25 unequal: No Solution
Moving to Node #0,1,4
Current State: 25:[89, 140], Operations: ['71-8=63', '77+63=140']
Exploring Operation: 89*140=12460, Resulting Numbers: [12460]
12460,25 unequal: No Solution
Exploring Operation: 89+140=229, Resulting Numbers: [229]
229,25 unequal: No Solution
Exploring Operation: 140-89=51, Resulting Numbers: [51]
51,25 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
21,
46,
25,
76
] | 34 | [
"21+46=67",
"25+76=101",
"101-67=34"
] | Current State: 34:[21, 46, 25, 76], Operations: []
Exploring Operation: 21+46=67, Resulting Numbers: [25, 76, 67]
Generated Node #2: [25, 76, 67] from Operation: 21+46=67
Current State: 34:[25, 76, 67], Operations: ['21+46=67']
Exploring Operation: 25+76=101, Resulting Numbers: [67, 101]
Generated Node #3: [67, 101] from Operation: 25+76=101
Current State: 34:[67, 101], Operations: ['21+46=67', '25+76=101']
Exploring Operation: 101-67=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[21, 46, 25, 76], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [21, 25, 30]
Generated Node #0,0: 34:[21, 25, 30] Operation: 76-46=30
Moving to Node #0,0
Current State: 34:[21, 25, 30], Operations: ['76-46=30']
Exploring Operation: 25-21=4, Resulting Numbers: [30, 4]
Generated Node #0,0,0: 34:[30, 4] Operation: 25-21=4
Moving to Node #0,0,0
Current State: 34:[30, 4], Operations: ['76-46=30', '25-21=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[21, 46, 25, 76], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [21, 25, 30]
Generated Node #0,0: 34:[21, 25, 30] Operation: 76-46=30
Moving to Node #0,0
Current State: 34:[21, 25, 30], Operations: ['76-46=30']
Exploring Operation: 25-21=4, Resulting Numbers: [30, 4]
Generated Node #0,0,0: 34:[30, 4] Operation: 25-21=4
Moving to Node #0,0,0
Current State: 34:[30, 4], Operations: ['76-46=30', '25-21=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
21,
20,
1,
7
] | 23 | [
"21*1=21",
"21/7=3",
"20+3=23"
] | Current State: 23:[21, 20, 1, 7], Operations: []
Exploring Operation: 21*1=21, Resulting Numbers: [20, 7, 21]
Generated Node #2: [20, 7, 21] from Operation: 21*1=21
Current State: 23:[20, 7, 21], Operations: ['21*1=21']
Exploring Operation: 21/7=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 21/7=3
Current State: 23:[20, 3], Operations: ['21*1=21', '21/7=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[21, 20, 1, 7], Operations: []
Exploring Operation: 21+1=22, Resulting Numbers: [20, 7, 22]
Generated Node #0,0: 23:[20, 7, 22] Operation: 21+1=22
Moving to Node #0,0
Current State: 23:[20, 7, 22], Operations: ['21+1=22']
Exploring Operation: 20+7=27, Resulting Numbers: [22, 27]
Generated Node #0,0,0: 23:[22, 27] Operation: 20+7=27
Moving to Node #0,0,0
Current State: 23:[22, 27], Operations: ['21+1=22', '20+7=27']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,23 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
1,
5,
4,
23
] | 68 | [
"1+5=6",
"23-6=17",
"4*17=68"
] | Current State: 68:[1, 5, 4, 23], Operations: []
Exploring Operation: 1+5=6, Resulting Numbers: [4, 23, 6]
Generated Node #2: [4, 23, 6] from Operation: 1+5=6
Current State: 68:[4, 23, 6], Operations: ['1+5=6']
Exploring Operation: 23-6=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 23-6=17
Current State: 68:[4, 17], Operations: ['1+5=6', '23-6=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[1, 5, 4, 23], Operations: []
Exploring Operation: 23-5=18, Resulting Numbers: [1, 4, 18]
Generated Node #0,0: 68:[1, 4, 18] Operation: 23-5=18
Exploring Operation: 5-1=4, Resulting Numbers: [4, 23, 4]
Generated Node #0,1: 68:[4, 23, 4] Operation: 5-1=4
Exploring Operation: 23-4=19, Resulting Numbers: [1, 5, 19]
Generated Node #0,2: 68:[1, 5, 19] Operation: 23-4=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[1, 4, 18], Operations: ['23-5=18']
Exploring Operation: 18-1=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 68:[4, 17] Operation: 18-1=17
Exploring Operation: 4/1=4, Resulting Numbers: [18, 4]
Generated Node #0,0,1: 68:[18, 4] Operation: 4/1=4
Exploring Operation: 1*4=4, Resulting Numbers: [18, 4]
Generated Node #0,0,2: 68:[18, 4] Operation: 1*4=4
Moving to Node #0,0,0
Current State: 68:[4, 17], Operations: ['23-5=18', '18-1=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[1, 5, 4, 23], Operations: []
Exploring Operation: 23-5=18, Resulting Numbers: [1, 4, 18]
Generated Node #0,0: 68:[1, 4, 18] Operation: 23-5=18
Moving to Node #0,0
Current State: 68:[1, 4, 18], Operations: ['23-5=18']
Exploring Operation: 18-1=17, Resulting Numbers: [4, 17]
Generated Node #0,0,0: 68:[4, 17] Operation: 18-1=17
Moving to Node #0,0,0
Current State: 68:[4, 17], Operations: ['23-5=18', '18-1=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
79,
52,
92,
91
] | 27 | [
"79-52=27",
"92-91=1",
"27*1=27"
] | Current State: 27:[79, 52, 92, 91], Operations: []
Exploring Operation: 79-52=27, Resulting Numbers: [92, 91, 27]
Generated Node #2: [92, 91, 27] from Operation: 79-52=27
Current State: 27:[92, 91, 27], Operations: ['79-52=27']
Exploring Operation: 92-91=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 92-91=1
Current State: 27:[27, 1], Operations: ['79-52=27', '92-91=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[79, 52, 92, 91], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [52, 91, 13]
Generated Node #0,0: 27:[52, 91, 13] Operation: 92-79=13
Exploring Operation: 92-91=1, Resulting Numbers: [79, 52, 1]
Generated Node #0,1: 27:[79, 52, 1] Operation: 92-91=1
Exploring Operation: 91-79=12, Resulting Numbers: [52, 92, 12]
Generated Node #0,2: 27:[52, 92, 12] Operation: 91-79=12
Exploring Operation: 79-52=27, Resulting Numbers: [92, 91, 27]
Generated Node #0,3: 27:[92, 91, 27] Operation: 79-52=27
Moving to Node #0,1
Current State: 27:[79, 52, 1], Operations: ['92-91=1']
Exploring Operation: 79*1=79, Resulting Numbers: [52, 79]
Generated Node #0,1,0: 27:[52, 79] Operation: 79*1=79
Exploring Operation: 52-1=51, Resulting Numbers: [79, 51]
Generated Node #0,1,1: 27:[79, 51] Operation: 52-1=51
Exploring Operation: 79-1=78, Resulting Numbers: [52, 78]
Generated Node #0,1,2: 27:[52, 78] Operation: 79-1=78
Exploring Operation: 79-52=27, Resulting Numbers: [1, 27]
Generated Node #0,1,3: 27:[1, 27] Operation: 79-52=27
Moving to Node #0,2
Current State: 27:[52, 92, 12], Operations: ['91-79=12']
Exploring Operation: 92-52=40, Resulting Numbers: [12, 40]
Generated Node #0,2,0: 27:[12, 40] Operation: 92-52=40
Exploring Operation: 52-12=40, Resulting Numbers: [92, 40]
Generated Node #0,2,1: 27:[92, 40] Operation: 52-12=40
Exploring Operation: 92-12=80, Resulting Numbers: [52, 80]
Generated Node #0,2,2: 27:[52, 80] Operation: 92-12=80
Exploring Operation: 52+12=64, Resulting Numbers: [92, 64]
Generated Node #0,2,3: 27:[92, 64] Operation: 52+12=64
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 27:[12, 40], Operations: ['91-79=12', '92-52=40']
Exploring Operation: 12+40=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 12*40=480, Resulting Numbers: [480]
480,27 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,27 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 #0,2,1
Current State: 27:[92, 40], Operations: ['91-79=12', '52-12=40']
Exploring Operation: 92+40=132, Resulting Numbers: [132]
132,27 unequal: No Solution
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 92*40=3680, Resulting Numbers: [3680]
3680,27 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 #0,2,2
Current State: 27:[52, 80], Operations: ['91-79=12', '92-12=80']
Exploring Operation: 52+80=132, Resulting Numbers: [132]
132,27 unequal: No Solution
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 52*80=4160, Resulting Numbers: [4160]
4160,27 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 #0,2,3
Current State: 27:[92, 64], Operations: ['91-79=12', '52+12=64']
Exploring Operation: 92*64=5888, Resulting Numbers: [5888]
5888,27 unequal: No Solution
Exploring Operation: 92+64=156, Resulting Numbers: [156]
156,27 unequal: No Solution
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,27 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: 27:[52, 91, 13], Operations: ['92-79=13']
Exploring Operation: 52/13=4, Resulting Numbers: [91, 4]
Generated Node #0,0,0: 27:[91, 4] Operation: 52/13=4
Exploring Operation: 52-13=39, Resulting Numbers: [91, 39]
Generated Node #0,0,1: 27:[91, 39] Operation: 52-13=39
Exploring Operation: 91/13=7, Resulting Numbers: [52, 7]
Generated Node #0,0,2: 27:[52, 7] Operation: 91/13=7
Exploring Operation: 91-52=39, Resulting Numbers: [13, 39]
Generated Node #0,0,3: 27:[13, 39] Operation: 91-52=39
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 27:[13, 39], Operations: ['92-79=13', '91-52=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,27 unequal: No Solution
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,27 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 #0,0,2
Current State: 27:[52, 7], Operations: ['92-79=13', '91/13=7']
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,27 unequal: No Solution
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,27 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,27 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:[91, 4], Operations: ['92-79=13', '52/13=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,27 unequal: No Solution
Exploring Operation: 91*4=364, Resulting Numbers: [364]
364,27 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,27 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 #0,0,1
Current State: 27:[91, 39], Operations: ['92-79=13', '52-13=39']
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 91+39=130, Resulting Numbers: [130]
130,27 unequal: No Solution
Exploring Operation: 91*39=3549, Resulting Numbers: [3549]
3549,27 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: 27:[92, 91, 27], Operations: ['79-52=27']
Exploring Operation: 92+91=183, Resulting Numbers: [27, 183]
Generated Node #0,3,0: 27:[27, 183] Operation: 92+91=183
Exploring Operation: 91-27=64, Resulting Numbers: [92, 64]
Generated Node #0,3,1: 27:[92, 64] Operation: 91-27=64
Exploring Operation: 92-27=65, Resulting Numbers: [91, 65]
Generated Node #0,3,2: 27:[91, 65] Operation: 92-27=65
Exploring Operation: 92-91=1, Resulting Numbers: [27, 1]
Generated Node #0,3,3: 27:[27, 1] Operation: 92-91=1
Moving to Node #0,1,3
Current State: 27:[1, 27], Operations: ['92-91=1', '79-52=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[79, 52, 92, 91], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [79, 52, 1]
Generated Node #0,1: 27:[79, 52, 1] Operation: 92-91=1
Moving to Node #0,1
Current State: 27:[79, 52, 1], Operations: ['92-91=1']
Exploring Operation: 79-52=27, Resulting Numbers: [1, 27]
Generated Node #0,1,3: 27:[1, 27] Operation: 79-52=27
Moving to Node #0,1,3
Current State: 27:[1, 27], Operations: ['92-91=1', '79-52=27']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.955729 | hs_4 | mult_heuristic |
[
34,
84,
4,
82
] | 42 | [
"84-82=2",
"4*2=8",
"34+8=42"
] | Current State: 42:[34, 84, 4, 82], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [34, 4, 2]
Generated Node #2: [34, 4, 2] from Operation: 84-82=2
Current State: 42:[34, 4, 2], Operations: ['84-82=2']
Exploring Operation: 4*2=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 4*2=8
Current State: 42:[34, 8], Operations: ['84-82=2', '4*2=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[34, 84, 4, 82], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [34, 82, 21]
Generated Node #0,0: 42:[34, 82, 21] Operation: 84/4=21
Exploring Operation: 34+4=38, Resulting Numbers: [84, 82, 38]
Generated Node #0,1: 42:[84, 82, 38] Operation: 34+4=38
Exploring Operation: 84-34=50, Resulting Numbers: [4, 82, 50]
Generated Node #0,2: 42:[4, 82, 50] Operation: 84-34=50
Exploring Operation: 84-82=2, Resulting Numbers: [34, 4, 2]
Generated Node #0,3: 42:[34, 4, 2] Operation: 84-82=2
Exploring Operation: 82-34=48, Resulting Numbers: [84, 4, 48]
Generated Node #0,4: 42:[84, 4, 48] Operation: 82-34=48
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[34, 4, 2], Operations: ['84-82=2']
Exploring Operation: 4-2=2, Resulting Numbers: [34, 2]
Generated Node #0,3,0: 42:[34, 2] Operation: 4-2=2
Exploring Operation: 34/2=17, Resulting Numbers: [4, 17]
Generated Node #0,3,1: 42:[4, 17] Operation: 34/2=17
Exploring Operation: 34+4=38, Resulting Numbers: [2, 38]
Generated Node #0,3,2: 42:[2, 38] Operation: 34+4=38
Exploring Operation: 4+2=6, Resulting Numbers: [34, 6]
Generated Node #0,3,3: 42:[34, 6] Operation: 4+2=6
Exploring Operation: 34+2=36, Resulting Numbers: [4, 36]
Generated Node #0,3,4: 42:[4, 36] Operation: 34+2=36
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 42:[4, 17], Operations: ['84-82=2', '34/2=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,42 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 #0,3,2
Current State: 42:[2, 38], Operations: ['84-82=2', '34+4=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,42 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 #0,3,4
Current State: 42:[4, 36], Operations: ['84-82=2', '34+2=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,42 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,42 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 #0,3,0
Current State: 42:[34, 2], Operations: ['84-82=2', '4-2=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,42 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,42 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 #0,3,3
Current State: 42:[34, 6], Operations: ['84-82=2', '4+2=6']
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,42 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,42 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[34, 82, 21], Operations: ['84/4=21']
Exploring Operation: 82-21=61, Resulting Numbers: [34, 61]
Generated Node #0,0,0: 42:[34, 61] Operation: 82-21=61
Exploring Operation: 34-21=13, Resulting Numbers: [82, 13]
Generated Node #0,0,1: 42:[82, 13] Operation: 34-21=13
Exploring Operation: 82-34=48, Resulting Numbers: [21, 48]
Generated Node #0,0,2: 42:[21, 48] Operation: 82-34=48
Exploring Operation: 82+21=103, Resulting Numbers: [34, 103]
Generated Node #0,0,3: 42:[34, 103] Operation: 82+21=103
Exploring Operation: 34+21=55, Resulting Numbers: [82, 55]
Generated Node #0,0,4: 42:[82, 55] Operation: 34+21=55
Moving to Node #0,0,2
Current State: 42:[21, 48], Operations: ['84/4=21', '82-34=48']
Exploring Operation: 21*48=1008, Resulting Numbers: [1008]
1008,42 unequal: No Solution
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,42 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[34, 61], Operations: ['84/4=21', '82-21=61']
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,42 unequal: No Solution
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,42 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[82, 13], Operations: ['84/4=21', '34-21=13']
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,42 unequal: No Solution
Exploring Operation: 82*13=1066, Resulting Numbers: [1066]
1066,42 unequal: No Solution
Exploring Operation: 82+13=95, Resulting Numbers: [95]
95,42 unequal: No Solution
Moving to Node #0,0,4
Current State: 42:[82, 55], Operations: ['84/4=21', '34+21=55']
Exploring Operation: 82*55=4510, Resulting Numbers: [4510]
4510,42 unequal: No Solution
Exploring Operation: 82+55=137, Resulting Numbers: [137]
137,42 unequal: No Solution
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Moving to Node #0,0,3
Current State: 42:[34, 103], Operations: ['84/4=21', '82+21=103']
Exploring Operation: 34*103=3502, Resulting Numbers: [3502]
3502,42 unequal: No Solution
Exploring Operation: 103-34=69, Resulting Numbers: [69]
69,42 unequal: No Solution
Exploring Operation: 34+103=137, Resulting Numbers: [137]
137,42 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
Current State: 42:[4, 82, 50], Operations: ['84-34=50']
Exploring Operation: 82-4=78, Resulting Numbers: [50, 78]
Generated Node #0,2,0: 42:[50, 78] Operation: 82-4=78
Exploring Operation: 4+50=54, Resulting Numbers: [82, 54]
Generated Node #0,2,1: 42:[82, 54] Operation: 4+50=54
Exploring Operation: 50-4=46, Resulting Numbers: [82, 46]
Generated Node #0,2,2: 42:[82, 46] Operation: 50-4=46
Exploring Operation: 4+82=86, Resulting Numbers: [50, 86]
Generated Node #0,2,3: 42:[50, 86] Operation: 4+82=86
Exploring Operation: 82-50=32, Resulting Numbers: [4, 32]
Generated Node #0,2,4: 42:[4, 32] Operation: 82-50=32
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 42:[4, 32], Operations: ['84-34=50', '82-50=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 4*32=128, Resulting Numbers: [128]
128,42 unequal: No Solution
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,42 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 #0,2,0
Current State: 42:[50, 78], Operations: ['84-34=50', '82-4=78']
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 50*78=3900, Resulting Numbers: [3900]
3900,42 unequal: No Solution
Exploring Operation: 50+78=128, Resulting Numbers: [128]
128,42 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 #0,2,2
Current State: 42:[82, 46], Operations: ['84-34=50', '50-4=46']
Exploring Operation: 82+46=128, Resulting Numbers: [128]
128,42 unequal: No Solution
Exploring Operation: 82*46=3772, Resulting Numbers: [3772]
3772,42 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,42 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 #0,2,1
Current State: 42:[82, 54], Operations: ['84-34=50', '4+50=54']
Exploring Operation: 82-54=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 82+54=136, Resulting Numbers: [136]
136,42 unequal: No Solution
Exploring Operation: 82*54=4428, Resulting Numbers: [4428]
4428,42 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 #0,2,3
Current State: 42:[50, 86], Operations: ['84-34=50', '4+82=86']
Exploring Operation: 86-50=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 50+86=136, Resulting Numbers: [136]
136,42 unequal: No Solution
Exploring Operation: 50*86=4300, Resulting Numbers: [4300]
4300,42 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
Start Sub Search at level 1: Moving to Node #0,4
Current State: 42:[84, 4, 48], Operations: ['82-34=48']
Exploring Operation: 48/4=12, Resulting Numbers: [84, 12]
Generated Node #0,4,0: 42:[84, 12] Operation: 48/4=12
Exploring Operation: 84-48=36, Resulting Numbers: [4, 36]
Generated Node #0,4,1: 42:[4, 36] Operation: 84-48=36
Exploring Operation: 84-4=80, Resulting Numbers: [48, 80]
Generated Node #0,4,2: 42:[48, 80] Operation: 84-4=80
Exploring Operation: 48-4=44, Resulting Numbers: [84, 44]
Generated Node #0,4,3: 42:[84, 44] Operation: 48-4=44
Exploring Operation: 84/4=21, Resulting Numbers: [48, 21]
Generated Node #0,4,4: 42:[48, 21] Operation: 84/4=21
Moving to Node #0,4,4
Current State: 42:[48, 21], Operations: ['82-34=48', '84/4=21']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,42 unequal: No Solution
Exploring Operation: 48*21=1008, Resulting Numbers: [1008]
1008,42 unequal: No Solution
Moving to Node #0,4,1
Current State: 42:[4, 36], Operations: ['82-34=48', '84-48=36']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,42 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,42 unequal: No Solution
Moving to Node #0,4,0
Current State: 42:[84, 12], Operations: ['82-34=48', '48/4=12']
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 84*12=1008, Resulting Numbers: [1008]
1008,42 unequal: No Solution
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Moving to Node #0,4,2
Current State: 42:[48, 80], Operations: ['82-34=48', '84-4=80']
Exploring Operation: 48+80=128, Resulting Numbers: [128]
128,42 unequal: No Solution
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,42 unequal: No Solution
Exploring Operation: 48*80=3840, Resulting Numbers: [3840]
3840,42 unequal: No Solution
Moving to Node #0,4,3
Current State: 42:[84, 44], Operations: ['82-34=48', '48-4=44']
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 84*44=3696, Resulting Numbers: [3696]
3696,42 unequal: No Solution
Exploring Operation: 84+44=128, Resulting Numbers: [128]
128,42 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:[84, 82, 38], Operations: ['34+4=38']
Exploring Operation: 84+38=122, Resulting Numbers: [82, 122]
Generated Node #0,1,0: 42:[82, 122] Operation: 84+38=122
Exploring Operation: 82-38=44, Resulting Numbers: [84, 44]
Generated Node #0,1,1: 42:[84, 44] Operation: 82-38=44
Exploring Operation: 82+38=120, Resulting Numbers: [84, 120]
Generated Node #0,1,2: 42:[84, 120] Operation: 82+38=120
Exploring Operation: 84-82=2, Resulting Numbers: [38, 2]
Generated Node #0,1,3: 42:[38, 2] Operation: 84-82=2
Exploring Operation: 84-38=46, Resulting Numbers: [82, 46]
Generated Node #0,1,4: 42:[82, 46] Operation: 84-38=46
Moving to Node #0,1,3
Current State: 42:[38, 2], Operations: ['34+4=38', '84-82=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,42 unequal: No Solution
Moving to Node #0,1,4
Current State: 42:[82, 46], Operations: ['34+4=38', '84-38=46']
Exploring Operation: 82*46=3772, Resulting Numbers: [3772]
3772,42 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 82+46=128, Resulting Numbers: [128]
128,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[84, 44], Operations: ['34+4=38', '82-38=44']
Exploring Operation: 84+44=128, Resulting Numbers: [128]
128,42 unequal: No Solution
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 84*44=3696, Resulting Numbers: [3696]
3696,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[82, 122], Operations: ['34+4=38', '84+38=122']
Exploring Operation: 82*122=10004, Resulting Numbers: [10004]
10004,42 unequal: No Solution
Exploring Operation: 82+122=204, Resulting Numbers: [204]
204,42 unequal: No Solution
Exploring Operation: 122-82=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[84, 120], Operations: ['34+4=38', '82+38=120']
Exploring Operation: 120-84=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 84*120=10080, Resulting Numbers: [10080]
10080,42 unequal: No Solution
Exploring Operation: 84+120=204, Resulting Numbers: [204]
204,42 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 |
[
9,
35,
4,
33
] | 83 | [
"9*33=297",
"35+297=332",
"332/4=83"
] | Current State: 83:[9, 35, 4, 33], Operations: []
Exploring Operation: 9*33=297, Resulting Numbers: [35, 4, 297]
Generated Node #2: [35, 4, 297] from Operation: 9*33=297
Current State: 83:[35, 4, 297], Operations: ['9*33=297']
Exploring Operation: 35+297=332, Resulting Numbers: [4, 332]
Generated Node #3: [4, 332] from Operation: 35+297=332
Current State: 83:[4, 332], Operations: ['9*33=297', '35+297=332']
Exploring Operation: 332/4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[9, 35, 4, 33], Operations: []
Exploring Operation: 9+35=44, Resulting Numbers: [4, 33, 44]
Generated Node #0,0: 83:[4, 33, 44] Operation: 9+35=44
Exploring Operation: 9+33=42, Resulting Numbers: [35, 4, 42]
Generated Node #0,1: 83:[35, 4, 42] Operation: 9+33=42
Exploring Operation: 9*4=36, Resulting Numbers: [35, 33, 36]
Generated Node #0,2: 83:[35, 33, 36] Operation: 9*4=36
Exploring Operation: 9+4=13, Resulting Numbers: [35, 33, 13]
Generated Node #0,3: 83:[35, 33, 13] Operation: 9+4=13
Moving to Node #0,2
Current State: 83:[35, 33, 36], Operations: ['9*4=36']
Exploring Operation: 35+36=71, Resulting Numbers: [33, 71]
Generated Node #0,2,0: 83:[33, 71] Operation: 35+36=71
Exploring Operation: 35+33=68, Resulting Numbers: [36, 68]
Generated Node #0,2,1: 83:[36, 68] Operation: 35+33=68
Exploring Operation: 35-33=2, Resulting Numbers: [36, 2]
Generated Node #0,2,2: 83:[36, 2] Operation: 35-33=2
Exploring Operation: 33+36=69, Resulting Numbers: [35, 69]
Generated Node #0,2,3: 83:[35, 69] Operation: 33+36=69
Moving to Node #0,1
Current State: 83:[35, 4, 42], Operations: ['9+33=42']
Exploring Operation: 35-4=31, Resulting Numbers: [42, 31]
Generated Node #0,1,0: 83:[42, 31] Operation: 35-4=31
Exploring Operation: 35+4=39, Resulting Numbers: [42, 39]
Generated Node #0,1,1: 83:[42, 39] Operation: 35+4=39
Exploring Operation: 35+42=77, Resulting Numbers: [4, 77]
Generated Node #0,1,2: 83:[4, 77] Operation: 35+42=77
Exploring Operation: 4+42=46, Resulting Numbers: [35, 46]
Generated Node #0,1,3: 83:[35, 46] Operation: 4+42=46
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[42, 39], Operations: ['9+33=42', '35+4=39']
Exploring Operation: 42*39=1638, Resulting Numbers: [1638]
1638,83 unequal: No Solution
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[4, 77], Operations: ['9+33=42', '35+42=77']
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,83 unequal: No Solution
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[35, 46], Operations: ['9+33=42', '4+42=46']
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,83 unequal: No Solution
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[42, 31], Operations: ['9+33=42', '35-4=31']
Exploring Operation: 42*31=1302, Resulting Numbers: [1302]
1302,83 unequal: No Solution
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,83 unequal: No Solution
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,83 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: 83:[4, 33, 44], Operations: ['9+35=44']
Exploring Operation: 4+33=37, Resulting Numbers: [44, 37]
Generated Node #0,0,0: 83:[44, 37] Operation: 4+33=37
Exploring Operation: 4+44=48, Resulting Numbers: [33, 48]
Generated Node #0,0,1: 83:[33, 48] Operation: 4+44=48
Exploring Operation: 4*33=132, Resulting Numbers: [44, 132]
Generated Node #0,0,2: 83:[44, 132] Operation: 4*33=132
Exploring Operation: 33+44=77, Resulting Numbers: [4, 77]
Generated Node #0,0,3: 83:[4, 77] Operation: 33+44=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[44, 37], Operations: ['9+35=44', '4+33=37']
Exploring Operation: 44*37=1628, Resulting Numbers: [1628]
1628,83 unequal: No Solution
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[33, 48], Operations: ['9+35=44', '4+44=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 33*48=1584, Resulting Numbers: [1584]
1584,83 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[4, 77], Operations: ['9+35=44', '33+44=77']
Exploring Operation: 4*77=308, Resulting Numbers: [308]
308,83 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,83 unequal: No Solution
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[44, 132], Operations: ['9+35=44', '4*33=132']
Exploring Operation: 44+132=176, Resulting Numbers: [176]
176,83 unequal: No Solution
Exploring Operation: 44*132=5808, Resulting Numbers: [5808]
5808,83 unequal: No Solution
Exploring Operation: 132/44=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 132-44=88, Resulting Numbers: [88]
88,83 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: 83:[35, 33, 13], Operations: ['9+4=13']
Exploring Operation: 35-13=22, Resulting Numbers: [33, 22]
Generated Node #0,3,0: 83:[33, 22] Operation: 35-13=22
Exploring Operation: 35+33=68, Resulting Numbers: [13, 68]
Generated Node #0,3,1: 83:[13, 68] Operation: 35+33=68
Exploring Operation: 33+13=46, Resulting Numbers: [35, 46]
Generated Node #0,3,2: 83:[35, 46] Operation: 33+13=46
Exploring Operation: 35+13=48, Resulting Numbers: [33, 48]
Generated Node #0,3,3: 83:[33, 48] Operation: 35+13=48
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 83:[13, 68], Operations: ['9+4=13', '35+33=68']
Exploring Operation: 13*68=884, Resulting Numbers: [884]
884,83 unequal: No Solution
Exploring Operation: 13+68=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,83 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 #0,3,2
Current State: 83:[35, 46], Operations: ['9+4=13', '33+13=46']
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,83 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,83 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 #0,3,3
Current State: 83:[33, 48], Operations: ['9+4=13', '35+13=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 33*48=1584, Resulting Numbers: [1584]
1584,83 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,83 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 #0,3,0
Current State: 83:[33, 22], Operations: ['9+4=13', '35-13=22']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,83 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 83:[33, 71], Operations: ['9*4=36', '35+36=71']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,83 unequal: No Solution
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[35, 69], Operations: ['9*4=36', '33+36=69']
Exploring Operation: 35*69=2415, Resulting Numbers: [2415]
2415,83 unequal: No Solution
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[36, 68], Operations: ['9*4=36', '35+33=68']
Exploring Operation: 36+68=104, Resulting Numbers: [104]
104,83 unequal: No Solution
Exploring Operation: 36*68=2448, Resulting Numbers: [2448]
2448,83 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[36, 2], Operations: ['9*4=36', '35-33=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,83 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
12,
60,
84,
21
] | 19 | [
"84-60=24",
"24/12=2",
"21-2=19"
] | Current State: 19:[12, 60, 84, 21], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [12, 21, 24]
Generated Node #2: [12, 21, 24] from Operation: 84-60=24
Current State: 19:[12, 21, 24], Operations: ['84-60=24']
Exploring Operation: 24/12=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 24/12=2
Current State: 19:[21, 2], Operations: ['84-60=24', '24/12=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[12, 60, 84, 21], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [12, 21, 24]
Generated Node #0,0: 19:[12, 21, 24] Operation: 84-60=24
Exploring Operation: 60/12=5, Resulting Numbers: [84, 21, 5]
Generated Node #0,1: 19:[84, 21, 5] Operation: 60/12=5
Exploring Operation: 84/21=4, Resulting Numbers: [12, 60, 4]
Generated Node #0,2: 19:[12, 60, 4] Operation: 84/21=4
Exploring Operation: 84/12=7, Resulting Numbers: [60, 21, 7]
Generated Node #0,3: 19:[60, 21, 7] Operation: 84/12=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[12, 21, 24], Operations: ['84-60=24']
Exploring Operation: 24-12=12, Resulting Numbers: [21, 12]
Generated Node #0,0,0: 19:[21, 12] Operation: 24-12=12
Exploring Operation: 21-12=9, Resulting Numbers: [24, 9]
Generated Node #0,0,1: 19:[24, 9] Operation: 21-12=9
Exploring Operation: 12+21=33, Resulting Numbers: [24, 33]
Generated Node #0,0,2: 19:[24, 33] Operation: 12+21=33
Exploring Operation: 12+24=36, Resulting Numbers: [21, 36]
Generated Node #0,0,3: 19:[21, 36] Operation: 12+24=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[21, 12], Operations: ['84-60=24', '24-12=12']
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,19 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,19 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 #0,0,1
Current State: 19:[24, 9], Operations: ['84-60=24', '21-12=9']
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,19 unequal: No Solution
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,19 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 #0,0,2
Current State: 19:[24, 33], Operations: ['84-60=24', '12+21=33']
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,19 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 24*33=792, Resulting Numbers: [792]
792,19 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 #0,0,3
Current State: 19:[21, 36], Operations: ['84-60=24', '12+24=36']
Exploring Operation: 21+36=57, Resulting Numbers: [57]
57,19 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 21*36=756, Resulting Numbers: [756]
756,19 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 #0,3
Current State: 19:[60, 21, 7], Operations: ['84/12=7']
Exploring Operation: 60+7=67, Resulting Numbers: [21, 67]
Generated Node #0,3,0: 19:[21, 67] Operation: 60+7=67
Exploring Operation: 60-21=39, Resulting Numbers: [7, 39]
Generated Node #0,3,1: 19:[7, 39] Operation: 60-21=39
Exploring Operation: 21-7=14, Resulting Numbers: [60, 14]
Generated Node #0,3,2: 19:[60, 14] Operation: 21-7=14
Exploring Operation: 60-7=53, Resulting Numbers: [21, 53]
Generated Node #0,3,3: 19:[21, 53] Operation: 60-7=53
Moving to Node #0,3,1
Current State: 19:[7, 39], Operations: ['84/12=7', '60-21=39']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,19 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[21, 53], Operations: ['84/12=7', '60-7=53']
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 21*53=1113, Resulting Numbers: [1113]
1113,19 unequal: No Solution
Exploring Operation: 21+53=74, Resulting Numbers: [74]
74,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[60, 14], Operations: ['84/12=7', '21-7=14']
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,19 unequal: No Solution
Exploring Operation: 60*14=840, Resulting Numbers: [840]
840,19 unequal: No Solution
Exploring Operation: 60+14=74, Resulting Numbers: [74]
74,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[21, 67], Operations: ['84/12=7', '60+7=67']
Exploring Operation: 21+67=88, Resulting Numbers: [88]
88,19 unequal: No Solution
Exploring Operation: 21*67=1407, Resulting Numbers: [1407]
1407,19 unequal: No Solution
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[12, 60, 4], Operations: ['84/21=4']
Exploring Operation: 12+4=16, Resulting Numbers: [60, 16]
Generated Node #0,2,0: 19:[60, 16] Operation: 12+4=16
Exploring Operation: 60-12=48, Resulting Numbers: [4, 48]
Generated Node #0,2,1: 19:[4, 48] Operation: 60-12=48
Exploring Operation: 60/4=15, Resulting Numbers: [12, 15]
Generated Node #0,2,2: 19:[12, 15] Operation: 60/4=15
Exploring Operation: 60/12=5, Resulting Numbers: [4, 5]
Generated Node #0,2,3: 19:[4, 5] Operation: 60/12=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[12, 15], Operations: ['84/21=4', '60/4=15']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,19 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 #0,2,3
Current State: 19:[4, 5], Operations: ['84/21=4', '60/12=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,19 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 #0,2,0
Current State: 19:[60, 16], Operations: ['84/21=4', '12+4=16']
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,19 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,19 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 #0,2,1
Current State: 19:[4, 48], Operations: ['84/21=4', '60-12=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,19 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,19 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 #0,1
Current State: 19:[84, 21, 5], Operations: ['60/12=5']
Exploring Operation: 21-5=16, Resulting Numbers: [84, 16]
Generated Node #0,1,0: 19:[84, 16] Operation: 21-5=16
Exploring Operation: 84-5=79, Resulting Numbers: [21, 79]
Generated Node #0,1,1: 19:[21, 79] Operation: 84-5=79
Exploring Operation: 84-21=63, Resulting Numbers: [5, 63]
Generated Node #0,1,2: 19:[5, 63] Operation: 84-21=63
Exploring Operation: 84/21=4, Resulting Numbers: [5, 4]
Generated Node #0,1,3: 19:[5, 4] Operation: 84/21=4
Moving to Node #0,1,3
Current State: 19:[5, 4], Operations: ['60/12=5', '84/21=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[5, 63], Operations: ['60/12=5', '84-21=63']
Exploring Operation: 5+63=68, Resulting Numbers: [68]
68,19 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 5*63=315, Resulting Numbers: [315]
315,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[21, 79], Operations: ['60/12=5', '84-5=79']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 21*79=1659, Resulting Numbers: [1659]
1659,19 unequal: No Solution
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[84, 16], Operations: ['60/12=5', '21-5=16']
Exploring Operation: 84*16=1344, Resulting Numbers: [1344]
1344,19 unequal: No Solution
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
84,
53,
16,
42
] | 39 | [
"84/42=2",
"53-16=37",
"2+37=39"
] | Current State: 39:[84, 53, 16, 42], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [53, 16, 2]
Generated Node #2: [53, 16, 2] from Operation: 84/42=2
Current State: 39:[53, 16, 2], Operations: ['84/42=2']
Exploring Operation: 53-16=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 53-16=37
Current State: 39:[2, 37], Operations: ['84/42=2', '53-16=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[84, 53, 16, 42], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [53, 16, 2]
Generated Node #0,0: 39:[53, 16, 2] Operation: 84/42=2
Exploring Operation: 84-53=31, Resulting Numbers: [16, 42, 31]
Generated Node #0,1: 39:[16, 42, 31] Operation: 84-53=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[16, 42, 31], Operations: ['84-53=31']
Exploring Operation: 31-16=15, Resulting Numbers: [42, 15]
Generated Node #0,1,0: 39:[42, 15] Operation: 31-16=15
Exploring Operation: 42-31=11, Resulting Numbers: [16, 11]
Generated Node #0,1,1: 39:[16, 11] Operation: 42-31=11
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[42, 15], Operations: ['84-53=31', '31-16=15']
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 42+15=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No 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: 39:[16, 11], Operations: ['84-53=31', '42-31=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,39 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: 39:[53, 16, 2], Operations: ['84/42=2']
Exploring Operation: 53-16=37, Resulting Numbers: [2, 37]
Generated Node #0,0,0: 39:[2, 37] Operation: 53-16=37
Exploring Operation: 53-2=51, Resulting Numbers: [16, 51]
Generated Node #0,0,1: 39:[16, 51] Operation: 53-2=51
Moving to Node #0,0,0
Current State: 39:[2, 37], Operations: ['84/42=2', '53-16=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[84, 53, 16, 42], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [53, 16, 2]
Generated Node #0,0: 39:[53, 16, 2] Operation: 84/42=2
Moving to Node #0,0
Current State: 39:[53, 16, 2], Operations: ['84/42=2']
Exploring Operation: 53-16=37, Resulting Numbers: [2, 37]
Generated Node #0,0,0: 39:[2, 37] Operation: 53-16=37
Moving to Node #0,0,0
Current State: 39:[2, 37], Operations: ['84/42=2', '53-16=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
4,
16,
12,
56
] | 20 | [
"4*16=64",
"56-12=44",
"64-44=20"
] | Current State: 20:[4, 16, 12, 56], Operations: []
Exploring Operation: 4*16=64, Resulting Numbers: [12, 56, 64]
Generated Node #2: [12, 56, 64] from Operation: 4*16=64
Current State: 20:[12, 56, 64], Operations: ['4*16=64']
Exploring Operation: 56-12=44, Resulting Numbers: [64, 44]
Generated Node #3: [64, 44] from Operation: 56-12=44
Current State: 20:[64, 44], Operations: ['4*16=64', '56-12=44']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[4, 16, 12, 56], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [16, 12, 14]
Generated Node #0,0: 20:[16, 12, 14] Operation: 56/4=14
Exploring Operation: 4+16=20, Resulting Numbers: [12, 56, 20]
Generated Node #0,1: 20:[12, 56, 20] Operation: 4+16=20
Exploring Operation: 16-12=4, Resulting Numbers: [4, 56, 4]
Generated Node #0,2: 20:[4, 56, 4] Operation: 16-12=4
Exploring Operation: 56-12=44, Resulting Numbers: [4, 16, 44]
Generated Node #0,3: 20:[4, 16, 44] Operation: 56-12=44
Exploring Operation: 56-16=40, Resulting Numbers: [4, 12, 40]
Generated Node #0,4: 20:[4, 12, 40] Operation: 56-16=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[16, 12, 14], Operations: ['56/4=14']
Exploring Operation: 16+12=28, Resulting Numbers: [14, 28]
Generated Node #0,0,0: 20:[14, 28] Operation: 16+12=28
Exploring Operation: 12+14=26, Resulting Numbers: [16, 26]
Generated Node #0,0,1: 20:[16, 26] Operation: 12+14=26
Exploring Operation: 16-12=4, Resulting Numbers: [14, 4]
Generated Node #0,0,2: 20:[14, 4] Operation: 16-12=4
Exploring Operation: 14-12=2, Resulting Numbers: [16, 2]
Generated Node #0,0,3: 20:[16, 2] Operation: 14-12=2
Exploring Operation: 16-14=2, Resulting Numbers: [12, 2]
Generated Node #0,0,4: 20:[12, 2] Operation: 16-14=2
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 20:[12, 2], Operations: ['56/4=14', '16-14=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,20 unequal: No Solution
No 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: 20:[14, 4], Operations: ['56/4=14', '16-12=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,20 unequal: No Solution
No 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: 20:[16, 2], Operations: ['56/4=14', '14-12=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,20 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,20 unequal: No Solution
No 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: 20:[16, 26], Operations: ['56/4=14', '12+14=26']
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,20 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 16*26=416, Resulting Numbers: [416]
416,20 unequal: No Solution
No 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: 20:[14, 28], Operations: ['56/4=14', '16+12=28']
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,20 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,20 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: 20:[4, 12, 40], Operations: ['56-16=40']
Exploring Operation: 12/4=3, Resulting Numbers: [40, 3]
Generated Node #0,4,0: 20:[40, 3] Operation: 12/4=3
Exploring Operation: 40-4=36, Resulting Numbers: [12, 36]
Generated Node #0,4,1: 20:[12, 36] Operation: 40-4=36
Exploring Operation: 40/4=10, Resulting Numbers: [12, 10]
Generated Node #0,4,2: 20:[12, 10] Operation: 40/4=10
Exploring Operation: 40-12=28, Resulting Numbers: [4, 28]
Generated Node #0,4,3: 20:[4, 28] Operation: 40-12=28
Exploring Operation: 12-4=8, Resulting Numbers: [40, 8]
Generated Node #0,4,4: 20:[40, 8] Operation: 12-4=8
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 20:[12, 10], Operations: ['56-16=40', '40/4=10']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,20 unequal: No Solution
No 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: 20:[4, 28], Operations: ['56-16=40', '40-12=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,20 unequal: No Solution
No 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: 20:[12, 36], Operations: ['56-16=40', '40-4=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,20 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,20 unequal: No Solution
No 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: 20:[40, 3], Operations: ['56-16=40', '12/4=3']
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,20 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 20:[40, 8], Operations: ['56-16=40', '12-4=8']
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 40*8=320, Resulting Numbers: [320]
320,20 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: 20:[4, 16, 44], Operations: ['56-12=44']
Exploring Operation: 44-4=40, Resulting Numbers: [16, 40]
Generated Node #0,3,0: 20:[16, 40] Operation: 44-4=40
Exploring Operation: 44/4=11, Resulting Numbers: [16, 11]
Generated Node #0,3,1: 20:[16, 11] Operation: 44/4=11
Exploring Operation: 4+16=20, Resulting Numbers: [44, 20]
Generated Node #0,3,2: 20:[44, 20] Operation: 4+16=20
Exploring Operation: 44-16=28, Resulting Numbers: [4, 28]
Generated Node #0,3,3: 20:[4, 28] Operation: 44-16=28
Exploring Operation: 16/4=4, Resulting Numbers: [44, 4]
Generated Node #0,3,4: 20:[44, 4] Operation: 16/4=4
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 20:[16, 11], Operations: ['56-12=44', '44/4=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,20 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,20 unequal: No Solution
No 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: 20:[4, 28], Operations: ['56-12=44', '44-16=28']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,20 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,20 unequal: No Solution
No 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: 20:[16, 40], Operations: ['56-12=44', '44-4=40']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,20 unequal: No Solution
No 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: 20:[44, 20], Operations: ['56-12=44', '4+16=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,20 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 20:[44, 4], Operations: ['56-12=44', '16/4=4']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,20 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,20 unequal: No Solution
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,20 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: 20:[4, 56, 4], Operations: ['16-12=4']
Exploring Operation: 56-4=52, Resulting Numbers: [4, 52]
Generated Node #0,2,0: 20:[4, 52] Operation: 56-4=52
Exploring Operation: 56/4=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 20:[4, 14] Operation: 56/4=14
Exploring Operation: 56-4=52, Resulting Numbers: [4, 52]
Generated Node #0,2,2: 20:[4, 52] Operation: 56-4=52
Exploring Operation: 4/4=1, Resulting Numbers: [56, 1]
Generated Node #0,2,3: 20:[56, 1] Operation: 4/4=1
Exploring Operation: 56/4=14, Resulting Numbers: [4, 14]
Generated Node #0,2,4: 20:[4, 14] Operation: 56/4=14
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 20:[4, 14], Operations: ['16-12=4', '56/4=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,20 unequal: No Solution
No 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: 20:[4, 14], Operations: ['16-12=4', '56/4=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,20 unequal: No Solution
No 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: 20:[4, 52], Operations: ['16-12=4', '56-4=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,20 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,20 unequal: No Solution
No 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: 20:[4, 52], Operations: ['16-12=4', '56-4=52']
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,20 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,20 unequal: No Solution
No 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: 20:[56, 1], Operations: ['16-12=4', '4/4=1']
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,20 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: 20:[12, 56, 20], Operations: ['4+16=20']
Exploring Operation: 56-20=36, Resulting Numbers: [12, 36]
Generated Node #0,1,0: 20:[12, 36] Operation: 56-20=36
Exploring Operation: 12+20=32, Resulting Numbers: [56, 32]
Generated Node #0,1,1: 20:[56, 32] Operation: 12+20=32
Exploring Operation: 12+56=68, Resulting Numbers: [20, 68]
Generated Node #0,1,2: 20:[20, 68] Operation: 12+56=68
Exploring Operation: 56-12=44, Resulting Numbers: [20, 44]
Generated Node #0,1,3: 20:[20, 44] Operation: 56-12=44
Exploring Operation: 20-12=8, Resulting Numbers: [56, 8]
Generated Node #0,1,4: 20:[56, 8] Operation: 20-12=8
Moving to Node #0,1,0
Current State: 20:[12, 36], Operations: ['4+16=20', '56-20=36']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[20, 44], Operations: ['4+16=20', '56-12=44']
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,20 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Moving to Node #0,1,4
Current State: 20:[56, 8], Operations: ['4+16=20', '20-12=8']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 56*8=448, Resulting Numbers: [448]
448,20 unequal: No Solution
Exploring Operation: 56+8=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[56, 32], Operations: ['4+16=20', '12+20=32']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 56+32=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 56*32=1792, Resulting Numbers: [1792]
1792,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[20, 68], Operations: ['4+16=20', '12+56=68']
Exploring Operation: 20*68=1360, Resulting Numbers: [1360]
1360,20 unequal: No Solution
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 20+68=88, Resulting Numbers: [88]
88,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
78,
24,
26,
53
] | 23 | [
"78+24=102",
"26+53=79",
"102-79=23"
] | Current State: 23:[78, 24, 26, 53], Operations: []
Exploring Operation: 78+24=102, Resulting Numbers: [26, 53, 102]
Generated Node #2: [26, 53, 102] from Operation: 78+24=102
Current State: 23:[26, 53, 102], Operations: ['78+24=102']
Exploring Operation: 26+53=79, Resulting Numbers: [102, 79]
Generated Node #3: [102, 79] from Operation: 26+53=79
Current State: 23:[102, 79], Operations: ['78+24=102', '26+53=79']
Exploring Operation: 102-79=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[78, 24, 26, 53], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [24, 53, 3]
Generated Node #0,0: 23:[24, 53, 3] Operation: 78/26=3
Exploring Operation: 78-53=25, Resulting Numbers: [24, 26, 25]
Generated Node #0,1: 23:[24, 26, 25] Operation: 78-53=25
Moving to Node #0,1
Current State: 23:[24, 26, 25], Operations: ['78-53=25']
Exploring Operation: 26-24=2, Resulting Numbers: [25, 2]
Generated Node #0,1,0: 23:[25, 2] Operation: 26-24=2
Exploring Operation: 26-25=1, Resulting Numbers: [24, 1]
Generated Node #0,1,1: 23:[24, 1] Operation: 26-25=1
Moving to Node #0,0
Current State: 23:[24, 53, 3], Operations: ['78/26=3']
Exploring Operation: 53-24=29, Resulting Numbers: [3, 29]
Generated Node #0,0,0: 23:[3, 29] Operation: 53-24=29
Exploring Operation: 53-3=50, Resulting Numbers: [24, 50]
Generated Node #0,0,1: 23:[24, 50] Operation: 53-3=50
Moving to Node #0,1,0
Current State: 23:[25, 2], Operations: ['78-53=25', '26-24=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[78, 24, 26, 53], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [24, 26, 25]
Generated Node #0,1: 23:[24, 26, 25] Operation: 78-53=25
Moving to Node #0,1
Current State: 23:[24, 26, 25], Operations: ['78-53=25']
Exploring Operation: 26-24=2, Resulting Numbers: [25, 2]
Generated Node #0,1,0: 23:[25, 2] Operation: 26-24=2
Moving to Node #0,1,0
Current State: 23:[25, 2], Operations: ['78-53=25', '26-24=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
75,
69,
4,
46
] | 40 | [
"75+69=144",
"4*46=184",
"184-144=40"
] | Current State: 40:[75, 69, 4, 46], Operations: []
Exploring Operation: 75+69=144, Resulting Numbers: [4, 46, 144]
Generated Node #2: [4, 46, 144] from Operation: 75+69=144
Current State: 40:[4, 46, 144], Operations: ['75+69=144']
Exploring Operation: 4*46=184, Resulting Numbers: [144, 184]
Generated Node #3: [144, 184] from Operation: 4*46=184
Current State: 40:[144, 184], Operations: ['75+69=144', '4*46=184']
Exploring Operation: 184-144=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[75, 69, 4, 46], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [4, 46, 6]
Generated Node #0,0: 40:[4, 46, 6] Operation: 75-69=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[4, 46, 6], Operations: ['75-69=6']
Exploring Operation: 46-6=40, Resulting Numbers: [4, 40]
Generated Node #0,0,0: 40:[4, 40] Operation: 46-6=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[4, 40], Operations: ['75-69=6', '46-6=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
46,
35,
11,
44
] | 57 | [
"46-44=2",
"11*2=22",
"35+22=57"
] | Current State: 57:[46, 35, 11, 44], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [35, 11, 2]
Generated Node #2: [35, 11, 2] from Operation: 46-44=2
Current State: 57:[35, 11, 2], Operations: ['46-44=2']
Exploring Operation: 11*2=22, Resulting Numbers: [35, 22]
Generated Node #3: [35, 22] from Operation: 11*2=22
Current State: 57:[35, 22], Operations: ['46-44=2', '11*2=22']
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[46, 35, 11, 44], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [35, 11, 2]
Generated Node #0,0: 57:[35, 11, 2] Operation: 46-44=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[35, 11, 2], Operations: ['46-44=2']
Exploring Operation: 35-11=24, Resulting Numbers: [2, 24]
Generated Node #0,0,0: 57:[2, 24] Operation: 35-11=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[2, 24], Operations: ['46-44=2', '35-11=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,57 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 |
[
18,
31,
30,
16
] | 93 | [
"18+30=48",
"31*48=1488",
"1488/16=93"
] | Current State: 93:[18, 31, 30, 16], Operations: []
Exploring Operation: 18+30=48, Resulting Numbers: [31, 16, 48]
Generated Node #2: [31, 16, 48] from Operation: 18+30=48
Current State: 93:[31, 16, 48], Operations: ['18+30=48']
Exploring Operation: 31*48=1488, Resulting Numbers: [16, 1488]
Generated Node #3: [16, 1488] from Operation: 31*48=1488
Current State: 93:[16, 1488], Operations: ['18+30=48', '31*48=1488']
Exploring Operation: 1488/16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[18, 31, 30, 16], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [31, 30, 2]
Generated Node #0,0: 93:[31, 30, 2] Operation: 18-16=2
Exploring Operation: 30-18=12, Resulting Numbers: [31, 16, 12]
Generated Node #0,1: 93:[31, 16, 12] Operation: 30-18=12
Exploring Operation: 18+16=34, Resulting Numbers: [31, 30, 34]
Generated Node #0,2: 93:[31, 30, 34] Operation: 18+16=34
Moving to Node #0,0
Current State: 93:[31, 30, 2], Operations: ['18-16=2']
Exploring Operation: 30+2=32, Resulting Numbers: [31, 32]
Generated Node #0,0,0: 93:[31, 32] Operation: 30+2=32
Exploring Operation: 31-30=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 93:[2, 1] Operation: 31-30=1
Exploring Operation: 31+2=33, Resulting Numbers: [30, 33]
Generated Node #0,0,2: 93:[30, 33] Operation: 31+2=33
Moving to Node #0,2
Current State: 93:[31, 30, 34], Operations: ['18+16=34']
Exploring Operation: 31-30=1, Resulting Numbers: [34, 1]
Generated Node #0,2,0: 93:[34, 1] Operation: 31-30=1
Exploring Operation: 34-31=3, Resulting Numbers: [30, 3]
Generated Node #0,2,1: 93:[30, 3] Operation: 34-31=3
Exploring Operation: 34-30=4, Resulting Numbers: [31, 4]
Generated Node #0,2,2: 93:[31, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[30, 3], Operations: ['18+16=34', '34-31=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[31, 4], Operations: ['18+16=34', '34-30=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[34, 1], Operations: ['18+16=34', '31-30=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,93 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,93 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: 93:[31, 16, 12], Operations: ['30-18=12']
Exploring Operation: 31-16=15, Resulting Numbers: [12, 15]
Generated Node #0,1,0: 93:[12, 15] Operation: 31-16=15
Exploring Operation: 16-12=4, Resulting Numbers: [31, 4]
Generated Node #0,1,1: 93:[31, 4] Operation: 16-12=4
Exploring Operation: 16+12=28, Resulting Numbers: [31, 28]
Generated Node #0,1,2: 93:[31, 28] Operation: 16+12=28
Moving to Node #0,0,0
Current State: 93:[31, 32], Operations: ['18-16=2', '30+2=32']
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,93 unequal: No Solution
Exploring Operation: 31*32=992, Resulting Numbers: [992]
992,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[31, 4], Operations: ['30-18=12', '16-12=4']
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,93 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[30, 33], Operations: ['18-16=2', '31+2=33']
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[31, 28], Operations: ['30-18=12', '16+12=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,93 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[2, 1], Operations: ['18-16=2', '31-30=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[12, 15], Operations: ['30-18=12', '31-16=15']
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,93 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,93 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
52,
43,
80,
89
] | 74 | [
"52+43=95",
"80+89=169",
"169-95=74"
] | Current State: 74:[52, 43, 80, 89], Operations: []
Exploring Operation: 52+43=95, Resulting Numbers: [80, 89, 95]
Generated Node #2: [80, 89, 95] from Operation: 52+43=95
Current State: 74:[80, 89, 95], Operations: ['52+43=95']
Exploring Operation: 80+89=169, Resulting Numbers: [95, 169]
Generated Node #3: [95, 169] from Operation: 80+89=169
Current State: 74:[95, 169], Operations: ['52+43=95', '80+89=169']
Exploring Operation: 169-95=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[52, 43, 80, 89], Operations: []
Exploring Operation: 89-52=37, Resulting Numbers: [43, 80, 37]
Generated Node #0,0: 74:[43, 80, 37] Operation: 89-52=37
Exploring Operation: 52-43=9, Resulting Numbers: [80, 89, 9]
Generated Node #0,1: 74:[80, 89, 9] Operation: 52-43=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[43, 80, 37], Operations: ['89-52=37']
Exploring Operation: 43-37=6, Resulting Numbers: [80, 6]
Generated Node #0,0,0: 74:[80, 6] Operation: 43-37=6
Exploring Operation: 80-43=37, Resulting Numbers: [37, 37]
Generated Node #0,0,1: 74:[37, 37] Operation: 80-43=37
Moving to Node #0,0,1
Current State: 74:[37, 37], Operations: ['89-52=37', '80-43=37']
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[52, 43, 80, 89], Operations: []
Exploring Operation: 89-52=37, Resulting Numbers: [43, 80, 37]
Generated Node #0,0: 74:[43, 80, 37] Operation: 89-52=37
Moving to Node #0,0
Current State: 74:[43, 80, 37], Operations: ['89-52=37']
Exploring Operation: 80-43=37, Resulting Numbers: [37, 37]
Generated Node #0,0,1: 74:[37, 37] Operation: 80-43=37
Moving to Node #0,0,1
Current State: 74:[37, 37], Operations: ['89-52=37', '80-43=37']
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
89,
55,
60,
41
] | 53 | [
"89-55=34",
"60-41=19",
"34+19=53"
] | Current State: 53:[89, 55, 60, 41], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [60, 41, 34]
Generated Node #2: [60, 41, 34] from Operation: 89-55=34
Current State: 53:[60, 41, 34], Operations: ['89-55=34']
Exploring Operation: 60-41=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 60-41=19
Current State: 53:[34, 19], Operations: ['89-55=34', '60-41=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[89, 55, 60, 41], Operations: []
Exploring Operation: 89-60=29, Resulting Numbers: [55, 41, 29]
Generated Node #0,0: 53:[55, 41, 29] Operation: 89-60=29
Exploring Operation: 89-55=34, Resulting Numbers: [60, 41, 34]
Generated Node #0,1: 53:[60, 41, 34] Operation: 89-55=34
Exploring Operation: 89-41=48, Resulting Numbers: [55, 60, 48]
Generated Node #0,2: 53:[55, 60, 48] Operation: 89-41=48
Exploring Operation: 60-41=19, Resulting Numbers: [89, 55, 19]
Generated Node #0,3: 53:[89, 55, 19] Operation: 60-41=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[55, 60, 48], Operations: ['89-41=48']
Exploring Operation: 60-55=5, Resulting Numbers: [48, 5]
Generated Node #0,2,0: 53:[48, 5] Operation: 60-55=5
Exploring Operation: 60-48=12, Resulting Numbers: [55, 12]
Generated Node #0,2,1: 53:[55, 12] Operation: 60-48=12
Exploring Operation: 55-48=7, Resulting Numbers: [60, 7]
Generated Node #0,2,2: 53:[60, 7] Operation: 55-48=7
Exploring Operation: 55+48=103, Resulting Numbers: [60, 103]
Generated Node #0,2,3: 53:[60, 103] Operation: 55+48=103
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[55, 12], Operations: ['89-41=48', '60-48=12']
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,53 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,53 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 #0,2,0
Current State: 53:[48, 5], Operations: ['89-41=48', '60-55=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[89, 55, 60, 41], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [55, 60, 48]
Generated Node #0,2: 53:[55, 60, 48] Operation: 89-41=48
Moving to Node #0,2
Current State: 53:[55, 60, 48], Operations: ['89-41=48']
Exploring Operation: 60-55=5, Resulting Numbers: [48, 5]
Generated Node #0,2,0: 53:[48, 5] Operation: 60-55=5
Moving to Node #0,2,0
Current State: 53:[48, 5], Operations: ['89-41=48', '60-55=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
73,
25,
35,
28
] | 60 | [
"73-25=48",
"35*48=1680",
"1680/28=60"
] | Current State: 60:[73, 25, 35, 28], Operations: []
Exploring Operation: 73-25=48, Resulting Numbers: [35, 28, 48]
Generated Node #2: [35, 28, 48] from Operation: 73-25=48
Current State: 60:[35, 28, 48], Operations: ['73-25=48']
Exploring Operation: 35*48=1680, Resulting Numbers: [28, 1680]
Generated Node #3: [28, 1680] from Operation: 35*48=1680
Current State: 60:[28, 1680], Operations: ['73-25=48', '35*48=1680']
Exploring Operation: 1680/28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[73, 25, 35, 28], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [73, 35, 3]
Generated Node #0,0: 60:[73, 35, 3] Operation: 28-25=3
Exploring Operation: 73-35=38, Resulting Numbers: [25, 28, 38]
Generated Node #0,1: 60:[25, 28, 38] Operation: 73-35=38
Exploring Operation: 25+35=60, Resulting Numbers: [73, 28, 60]
Generated Node #0,2: 60:[73, 28, 60] Operation: 25+35=60
Exploring Operation: 35-25=10, Resulting Numbers: [73, 28, 10]
Generated Node #0,3: 60:[73, 28, 10] Operation: 35-25=10
Moving to Node #0,1
Current State: 60:[25, 28, 38], Operations: ['73-35=38']
Exploring Operation: 38-28=10, Resulting Numbers: [25, 10]
Generated Node #0,1,0: 60:[25, 10] Operation: 38-28=10
Exploring Operation: 38-25=13, Resulting Numbers: [28, 13]
Generated Node #0,1,1: 60:[28, 13] Operation: 38-25=13
Exploring Operation: 28-25=3, Resulting Numbers: [38, 3]
Generated Node #0,1,2: 60:[38, 3] Operation: 28-25=3
Exploring Operation: 25+38=63, Resulting Numbers: [28, 63]
Generated Node #0,1,3: 60:[28, 63] Operation: 25+38=63
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[28, 13], Operations: ['73-35=38', '38-25=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[25, 10], Operations: ['73-35=38', '38-28=10']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,60 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 60:[28, 63], Operations: ['73-35=38', '25+38=63']
Exploring Operation: 28*63=1764, Resulting Numbers: [1764]
1764,60 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 60:[38, 3], Operations: ['73-35=38', '28-25=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,60 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,60 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: 60:[73, 28, 10], Operations: ['35-25=10']
Exploring Operation: 73-28=45, Resulting Numbers: [10, 45]
Generated Node #0,3,0: 60:[10, 45] Operation: 73-28=45
Exploring Operation: 28+10=38, Resulting Numbers: [73, 38]
Generated Node #0,3,1: 60:[73, 38] Operation: 28+10=38
Exploring Operation: 73-10=63, Resulting Numbers: [28, 63]
Generated Node #0,3,2: 60:[28, 63] Operation: 73-10=63
Exploring Operation: 28-10=18, Resulting Numbers: [73, 18]
Generated Node #0,3,3: 60:[73, 18] Operation: 28-10=18
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 60:[28, 63], Operations: ['35-25=10', '73-10=63']
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Exploring Operation: 28*63=1764, Resulting Numbers: [1764]
1764,60 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 60:[10, 45], Operations: ['35-25=10', '73-28=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,60 unequal: No Solution
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 60:[73, 18], Operations: ['35-25=10', '28-10=18']
Exploring Operation: 73+18=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Exploring Operation: 73*18=1314, Resulting Numbers: [1314]
1314,60 unequal: No Solution
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 60:[73, 38], Operations: ['35-25=10', '28+10=38']
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,60 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,60 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: 60:[73, 28, 60], Operations: ['25+35=60']
Exploring Operation: 73-28=45, Resulting Numbers: [60, 45]
Generated Node #0,2,0: 60:[60, 45] Operation: 73-28=45
Exploring Operation: 73-60=13, Resulting Numbers: [28, 13]
Generated Node #0,2,1: 60:[28, 13] Operation: 73-60=13
Exploring Operation: 60-28=32, Resulting Numbers: [73, 32]
Generated Node #0,2,2: 60:[73, 32] Operation: 60-28=32
Exploring Operation: 73+28=101, Resulting Numbers: [60, 101]
Generated Node #0,2,3: 60:[60, 101] Operation: 73+28=101
Moving to Node #0,0
Current State: 60:[73, 35, 3], Operations: ['28-25=3']
Exploring Operation: 73-3=70, Resulting Numbers: [35, 70]
Generated Node #0,0,0: 60:[35, 70] Operation: 73-3=70
Exploring Operation: 35-3=32, Resulting Numbers: [73, 32]
Generated Node #0,0,1: 60:[73, 32] Operation: 35-3=32
Exploring Operation: 73+3=76, Resulting Numbers: [35, 76]
Generated Node #0,0,2: 60:[35, 76] Operation: 73+3=76
Exploring Operation: 73-35=38, Resulting Numbers: [3, 38]
Generated Node #0,0,3: 60:[3, 38] Operation: 73-35=38
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 60:[3, 38], Operations: ['28-25=3', '73-35=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,60 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[35, 70], Operations: ['28-25=3', '73-3=70']
Exploring Operation: 35*70=2450, Resulting Numbers: [2450]
2450,60 unequal: No Solution
Exploring Operation: 35+70=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[73, 32], Operations: ['28-25=3', '35-3=32']
Exploring Operation: 73+32=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 73*32=2336, Resulting Numbers: [2336]
2336,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 60:[35, 76], Operations: ['28-25=3', '73+3=76']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 35*76=2660, Resulting Numbers: [2660]
2660,60 unequal: No Solution
Exploring Operation: 35+76=111, Resulting Numbers: [111]
111,60 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: 60:[28, 13], Operations: ['25+35=60', '73-60=13']
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,60 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[73, 32], Operations: ['25+35=60', '60-28=32']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 73*32=2336, Resulting Numbers: [2336]
2336,60 unequal: No Solution
Exploring Operation: 73+32=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[60, 45], Operations: ['25+35=60', '73-28=45']
Exploring Operation: 60+45=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Exploring Operation: 60*45=2700, Resulting Numbers: [2700]
2700,60 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Moving to Node #0,2,3
Current State: 60:[60, 101], Operations: ['25+35=60', '73+28=101']
Exploring Operation: 60*101=6060, Resulting Numbers: [6060]
6060,60 unequal: No Solution
Exploring Operation: 60+101=161, Resulting Numbers: [161]
161,60 unequal: No Solution
Exploring Operation: 101-60=41, Resulting Numbers: [41]
41,60 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
16,
65,
4,
90
] | 90 | [
"16*4=64",
"65-64=1",
"90*1=90"
] | Current State: 90:[16, 65, 4, 90], Operations: []
Exploring Operation: 16*4=64, Resulting Numbers: [65, 90, 64]
Generated Node #2: [65, 90, 64] from Operation: 16*4=64
Current State: 90:[65, 90, 64], Operations: ['16*4=64']
Exploring Operation: 65-64=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 65-64=1
Current State: 90:[90, 1], Operations: ['16*4=64', '65-64=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[16, 65, 4, 90], Operations: []
Exploring Operation: 16+65=81, Resulting Numbers: [4, 90, 81]
Generated Node #0,0: 90:[4, 90, 81] Operation: 16+65=81
Exploring Operation: 90-65=25, Resulting Numbers: [16, 4, 25]
Generated Node #0,1: 90:[16, 4, 25] Operation: 90-65=25
Exploring Operation: 16/4=4, Resulting Numbers: [65, 90, 4]
Generated Node #0,2: 90:[65, 90, 4] Operation: 16/4=4
Exploring Operation: 65-16=49, Resulting Numbers: [4, 90, 49]
Generated Node #0,3: 90:[4, 90, 49] Operation: 65-16=49
Exploring Operation: 65-4=61, Resulting Numbers: [16, 90, 61]
Generated Node #0,4: 90:[16, 90, 61] Operation: 65-4=61
Start Sub Search at level 1: Moving to Node #0,3
Current State: 90:[4, 90, 49], Operations: ['65-16=49']
Exploring Operation: 90-49=41, Resulting Numbers: [4, 41]
Generated Node #0,3,0: 90:[4, 41] Operation: 90-49=41
Exploring Operation: 4+90=94, Resulting Numbers: [49, 94]
Generated Node #0,3,1: 90:[49, 94] Operation: 4+90=94
Exploring Operation: 90-4=86, Resulting Numbers: [49, 86]
Generated Node #0,3,2: 90:[49, 86] Operation: 90-4=86
Exploring Operation: 49-4=45, Resulting Numbers: [90, 45]
Generated Node #0,3,3: 90:[90, 45] Operation: 49-4=45
Exploring Operation: 4+49=53, Resulting Numbers: [90, 53]
Generated Node #0,3,4: 90:[90, 53] Operation: 4+49=53
Moving to Node #0,3,3
Current State: 90:[90, 45], Operations: ['65-16=49', '49-4=45']
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 90*45=4050, Resulting Numbers: [4050]
4050,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[4, 41], Operations: ['65-16=49', '90-49=41']
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,90 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[49, 94], Operations: ['65-16=49', '4+90=94']
Exploring Operation: 49+94=143, Resulting Numbers: [143]
143,90 unequal: No Solution
Exploring Operation: 49*94=4606, Resulting Numbers: [4606]
4606,90 unequal: No Solution
Exploring Operation: 94-49=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[49, 86], Operations: ['65-16=49', '90-4=86']
Exploring Operation: 49+86=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 49*86=4214, Resulting Numbers: [4214]
4214,90 unequal: No Solution
Exploring Operation: 86-49=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Moving to Node #0,3,4
Current State: 90:[90, 53], Operations: ['65-16=49', '4+49=53']
Exploring Operation: 90+53=143, Resulting Numbers: [143]
143,90 unequal: No Solution
Exploring Operation: 90*53=4770, Resulting Numbers: [4770]
4770,90 unequal: No Solution
Exploring Operation: 90-53=37, Resulting Numbers: [37]
37,90 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:[16, 4, 25], Operations: ['90-65=25']
Exploring Operation: 25-4=21, Resulting Numbers: [16, 21]
Generated Node #0,1,0: 90:[16, 21] Operation: 25-4=21
Exploring Operation: 4+25=29, Resulting Numbers: [16, 29]
Generated Node #0,1,1: 90:[16, 29] Operation: 4+25=29
Exploring Operation: 16+25=41, Resulting Numbers: [4, 41]
Generated Node #0,1,2: 90:[4, 41] Operation: 16+25=41
Exploring Operation: 25-16=9, Resulting Numbers: [4, 9]
Generated Node #0,1,3: 90:[4, 9] Operation: 25-16=9
Exploring Operation: 16/4=4, Resulting Numbers: [25, 4]
Generated Node #0,1,4: 90:[25, 4] Operation: 16/4=4
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 90:[4, 9], Operations: ['90-65=25', '25-16=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,90 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:[16, 29], Operations: ['90-65=25', '4+25=29']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,90 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,90 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:[16, 21], Operations: ['90-65=25', '25-4=21']
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,90 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:[4, 41], Operations: ['90-65=25', '16+25=41']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,90 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 #0,1,4
Current State: 90:[25, 4], Operations: ['90-65=25', '16/4=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,90 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,90 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 #0,0
Current State: 90:[4, 90, 81], Operations: ['16+65=81']
Exploring Operation: 4+81=85, Resulting Numbers: [90, 85]
Generated Node #0,0,0: 90:[90, 85] Operation: 4+81=85
Exploring Operation: 90-4=86, Resulting Numbers: [81, 86]
Generated Node #0,0,1: 90:[81, 86] Operation: 90-4=86
Exploring Operation: 81-4=77, Resulting Numbers: [90, 77]
Generated Node #0,0,2: 90:[90, 77] Operation: 81-4=77
Exploring Operation: 4+90=94, Resulting Numbers: [81, 94]
Generated Node #0,0,3: 90:[81, 94] Operation: 4+90=94
Exploring Operation: 90-81=9, Resulting Numbers: [4, 9]
Generated Node #0,0,4: 90:[4, 9] Operation: 90-81=9
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 90:[4, 9], Operations: ['16+65=81', '90-81=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,90 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:[90, 85], Operations: ['16+65=81', '4+81=85']
Exploring Operation: 90*85=7650, Resulting Numbers: [7650]
7650,90 unequal: No Solution
Exploring Operation: 90-85=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 90+85=175, Resulting Numbers: [175]
175,90 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:[81, 86], Operations: ['16+65=81', '90-4=86']
Exploring Operation: 81*86=6966, Resulting Numbers: [6966]
6966,90 unequal: No Solution
Exploring Operation: 81+86=167, Resulting Numbers: [167]
167,90 unequal: No Solution
Exploring Operation: 86-81=5, Resulting Numbers: [5]
5,90 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:[90, 77], Operations: ['16+65=81', '81-4=77']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,90 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,90 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 #0,0,3
Current State: 90:[81, 94], Operations: ['16+65=81', '4+90=94']
Exploring Operation: 94-81=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 81+94=175, Resulting Numbers: [175]
175,90 unequal: No Solution
Exploring Operation: 81*94=7614, Resulting Numbers: [7614]
7614,90 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 #0,4
Current State: 90:[16, 90, 61], Operations: ['65-4=61']
Exploring Operation: 90-61=29, Resulting Numbers: [16, 29]
Generated Node #0,4,0: 90:[16, 29] Operation: 90-61=29
Exploring Operation: 90-16=74, Resulting Numbers: [61, 74]
Generated Node #0,4,1: 90:[61, 74] Operation: 90-16=74
Exploring Operation: 16+61=77, Resulting Numbers: [90, 77]
Generated Node #0,4,2: 90:[90, 77] Operation: 16+61=77
Exploring Operation: 16+90=106, Resulting Numbers: [61, 106]
Generated Node #0,4,3: 90:[61, 106] Operation: 16+90=106
Exploring Operation: 61-16=45, Resulting Numbers: [90, 45]
Generated Node #0,4,4: 90:[90, 45] Operation: 61-16=45
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 90:[90, 45], Operations: ['65-4=61', '61-16=45']
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 90*45=4050, Resulting Numbers: [4050]
4050,90 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 #0,4,0
Current State: 90:[16, 29], Operations: ['65-4=61', '90-61=29']
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,90 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,90 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 #0,4,2
Current State: 90:[90, 77], Operations: ['65-4=61', '16+61=77']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,90 unequal: No Solution
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,90 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 #0,4,1
Current State: 90:[61, 74], Operations: ['65-4=61', '90-16=74']
Exploring Operation: 61+74=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 61*74=4514, Resulting Numbers: [4514]
4514,90 unequal: No Solution
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,90 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 #0,4,3
Current State: 90:[61, 106], Operations: ['65-4=61', '16+90=106']
Exploring Operation: 61*106=6466, Resulting Numbers: [6466]
6466,90 unequal: No Solution
Exploring Operation: 106-61=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 61+106=167, Resulting Numbers: [167]
167,90 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:[65, 90, 4], Operations: ['16/4=4']
Exploring Operation: 90-65=25, Resulting Numbers: [4, 25]
Generated Node #0,2,0: 90:[4, 25] Operation: 90-65=25
Exploring Operation: 90+4=94, Resulting Numbers: [65, 94]
Generated Node #0,2,1: 90:[65, 94] Operation: 90+4=94
Exploring Operation: 65+4=69, Resulting Numbers: [90, 69]
Generated Node #0,2,2: 90:[90, 69] Operation: 65+4=69
Exploring Operation: 90-4=86, Resulting Numbers: [65, 86]
Generated Node #0,2,3: 90:[65, 86] Operation: 90-4=86
Exploring Operation: 65-4=61, Resulting Numbers: [90, 61]
Generated Node #0,2,4: 90:[90, 61] Operation: 65-4=61
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 90:[4, 25], Operations: ['16/4=4', '90-65=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,90 unequal: No Solution
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,90 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 #0,2,4
Current State: 90:[90, 61], Operations: ['16/4=4', '65-4=61']
Exploring Operation: 90-61=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 90*61=5490, Resulting Numbers: [5490]
5490,90 unequal: No Solution
Exploring Operation: 90+61=151, Resulting Numbers: [151]
151,90 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:[90, 69], Operations: ['16/4=4', '65+4=69']
Exploring Operation: 90*69=6210, Resulting Numbers: [6210]
6210,90 unequal: No Solution
Exploring Operation: 90+69=159, Resulting Numbers: [159]
159,90 unequal: No Solution
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,90 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 #0,2,1
Current State: 90:[65, 94], Operations: ['16/4=4', '90+4=94']
Exploring Operation: 65*94=6110, Resulting Numbers: [6110]
6110,90 unequal: No Solution
Exploring Operation: 65+94=159, Resulting Numbers: [159]
159,90 unequal: No Solution
Exploring Operation: 94-65=29, Resulting Numbers: [29]
29,90 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:[65, 86], Operations: ['16/4=4', '90-4=86']
Exploring Operation: 65*86=5590, Resulting Numbers: [5590]
5590,90 unequal: No Solution
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,90 unequal: No Solution
Exploring Operation: 65+86=151, Resulting Numbers: [151]
151,90 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_5 | mult_heuristic |
[
68,
15,
3,
17
] | 74 | [
"17-15=2",
"3*2=6",
"68+6=74"
] | Current State: 74:[68, 15, 3, 17], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [68, 3, 2]
Generated Node #2: [68, 3, 2] from Operation: 17-15=2
Current State: 74:[68, 3, 2], Operations: ['17-15=2']
Exploring Operation: 3*2=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 3*2=6
Current State: 74:[68, 6], Operations: ['17-15=2', '3*2=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[68, 15, 3, 17], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [15, 3, 4]
Generated Node #0,0: 74:[15, 3, 4] Operation: 68/17=4
Exploring Operation: 15/3=5, Resulting Numbers: [68, 17, 5]
Generated Node #0,1: 74:[68, 17, 5] Operation: 15/3=5
Exploring Operation: 17-15=2, Resulting Numbers: [68, 3, 2]
Generated Node #0,2: 74:[68, 3, 2] Operation: 17-15=2
Exploring Operation: 15+17=32, Resulting Numbers: [68, 3, 32]
Generated Node #0,3: 74:[68, 3, 32] Operation: 15+17=32
Moving to Node #0,2
Current State: 74:[68, 3, 2], Operations: ['17-15=2']
Exploring Operation: 3-2=1, Resulting Numbers: [68, 1]
Generated Node #0,2,0: 74:[68, 1] Operation: 3-2=1
Exploring Operation: 68/2=34, Resulting Numbers: [3, 34]
Generated Node #0,2,1: 74:[3, 34] Operation: 68/2=34
Exploring Operation: 68+3=71, Resulting Numbers: [2, 71]
Generated Node #0,2,2: 74:[2, 71] Operation: 68+3=71
Exploring Operation: 68+2=70, Resulting Numbers: [3, 70]
Generated Node #0,2,3: 74:[3, 70] Operation: 68+2=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[2, 71], Operations: ['17-15=2', '68+3=71']
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,74 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,74 unequal: No Solution
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,74 unequal: No Solution
No 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: 74:[3, 34], Operations: ['17-15=2', '68/2=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,74 unequal: No Solution
No 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: 74:[3, 70], Operations: ['17-15=2', '68+2=70']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,74 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,74 unequal: No Solution
No 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: 74:[68, 1], Operations: ['17-15=2', '3-2=1']
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,74 unequal: No Solution
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,74 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: 74:[68, 3, 32], Operations: ['15+17=32']
Exploring Operation: 68-32=36, Resulting Numbers: [3, 36]
Generated Node #0,3,0: 74:[3, 36] Operation: 68-32=36
Exploring Operation: 68+3=71, Resulting Numbers: [32, 71]
Generated Node #0,3,1: 74:[32, 71] Operation: 68+3=71
Exploring Operation: 3+32=35, Resulting Numbers: [68, 35]
Generated Node #0,3,2: 74:[68, 35] Operation: 3+32=35
Exploring Operation: 68-3=65, Resulting Numbers: [32, 65]
Generated Node #0,3,3: 74:[32, 65] Operation: 68-3=65
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 74:[3, 36], Operations: ['15+17=32', '68-32=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,74 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,74 unequal: No Solution
No 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: 74:[32, 71], Operations: ['15+17=32', '68+3=71']
Exploring Operation: 32+71=103, Resulting Numbers: [103]
103,74 unequal: No Solution
Exploring Operation: 32*71=2272, Resulting Numbers: [2272]
2272,74 unequal: No Solution
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,74 unequal: No Solution
No 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: 74:[68, 35], Operations: ['15+17=32', '3+32=35']
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,74 unequal: No Solution
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,74 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,74 unequal: No Solution
No 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: 74:[32, 65], Operations: ['15+17=32', '68-3=65']
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 32*65=2080, Resulting Numbers: [2080]
2080,74 unequal: No Solution
Exploring Operation: 32+65=97, Resulting Numbers: [97]
97,74 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: 74:[15, 3, 4], Operations: ['68/17=4']
Exploring Operation: 15-3=12, Resulting Numbers: [4, 12]
Generated Node #0,0,0: 74:[4, 12] Operation: 15-3=12
Exploring Operation: 15-4=11, Resulting Numbers: [3, 11]
Generated Node #0,0,1: 74:[3, 11] Operation: 15-4=11
Exploring Operation: 15/3=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 74:[4, 5] Operation: 15/3=5
Exploring Operation: 15*3=45, Resulting Numbers: [4, 45]
Generated Node #0,0,3: 74:[4, 45] Operation: 15*3=45
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[4, 5], Operations: ['68/17=4', '15/3=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,74 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,74 unequal: No Solution
No 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: 74:[3, 11], Operations: ['68/17=4', '15-4=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,74 unequal: No Solution
No 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: 74:[4, 45], Operations: ['68/17=4', '15*3=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,74 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,74 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,74 unequal: No Solution
No 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: 74:[4, 12], Operations: ['68/17=4', '15-3=12']
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,74 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,74 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: 74:[68, 17, 5], Operations: ['15/3=5']
Exploring Operation: 68/17=4, Resulting Numbers: [5, 4]
Generated Node #0,1,0: 74:[5, 4] Operation: 68/17=4
Exploring Operation: 68+5=73, Resulting Numbers: [17, 73]
Generated Node #0,1,1: 74:[17, 73] Operation: 68+5=73
Exploring Operation: 17-5=12, Resulting Numbers: [68, 12]
Generated Node #0,1,2: 74:[68, 12] Operation: 17-5=12
Exploring Operation: 68+17=85, Resulting Numbers: [5, 85]
Generated Node #0,1,3: 74:[5, 85] Operation: 68+17=85
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[5, 4], Operations: ['15/3=5', '68/17=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,74 unequal: No Solution
No 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: 74:[5, 85], Operations: ['15/3=5', '68+17=85']
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,74 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,74 unequal: No Solution
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,74 unequal: No Solution
No 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: 74:[17, 73], Operations: ['15/3=5', '68+5=73']
Exploring Operation: 17+73=90, Resulting Numbers: [90]
90,74 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,74 unequal: No Solution
Exploring Operation: 17*73=1241, Resulting Numbers: [1241]
1241,74 unequal: No Solution
No 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: 74:[68, 12], Operations: ['15/3=5', '17-5=12']
Exploring Operation: 68*12=816, Resulting Numbers: [816]
816,74 unequal: No Solution
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,74 unequal: No Solution
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,74 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 |
[
33,
40,
12,
12
] | 72 | [
"33+40=73",
"12/12=1",
"73-1=72"
] | Current State: 72:[33, 40, 12, 12], Operations: []
Exploring Operation: 33+40=73, Resulting Numbers: [12, 12, 73]
Generated Node #2: [12, 12, 73] from Operation: 33+40=73
Current State: 72:[12, 12, 73], Operations: ['33+40=73']
Exploring Operation: 12/12=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 12/12=1
Current State: 72:[73, 1], Operations: ['33+40=73', '12/12=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[33, 40, 12, 12], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [12, 12, 7]
Generated Node #0,0: 72:[12, 12, 7] Operation: 40-33=7
Exploring Operation: 33+40=73, Resulting Numbers: [12, 12, 73]
Generated Node #0,1: 72:[12, 12, 73] Operation: 33+40=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[12, 12, 7], Operations: ['40-33=7']
Exploring Operation: 12+7=19, Resulting Numbers: [12, 19]
Generated Node #0,0,0: 72:[12, 19] Operation: 12+7=19
Exploring Operation: 12+12=24, Resulting Numbers: [7, 24]
Generated Node #0,0,1: 72:[7, 24] Operation: 12+12=24
Moving to Node #0,0,0
Current State: 72:[12, 19], Operations: ['40-33=7', '12+7=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[7, 24], Operations: ['40-33=7', '12+12=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[12, 12, 73], Operations: ['33+40=73']
Exploring Operation: 12+12=24, Resulting Numbers: [73, 24]
Generated Node #0,1,0: 72:[73, 24] Operation: 12+12=24
Exploring Operation: 12/12=1, Resulting Numbers: [73, 1]
Generated Node #0,1,1: 72:[73, 1] Operation: 12/12=1
Moving to Node #0,1,0
Current State: 72:[73, 24], Operations: ['33+40=73', '12+12=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[73, 1], Operations: ['33+40=73', '12/12=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,72 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[33, 40, 12, 12], Operations: []
Exploring Operation: 33+40=73, Resulting Numbers: [12, 12, 73]
Generated Node #0,1: 72:[12, 12, 73] Operation: 33+40=73
Moving to Node #0,1
Current State: 72:[12, 12, 73], Operations: ['33+40=73']
Exploring Operation: 12/12=1, Resulting Numbers: [73, 1]
Generated Node #0,1,1: 72:[73, 1] Operation: 12/12=1
Moving to Node #0,1,1
Current State: 72:[73, 1], Operations: ['33+40=73', '12/12=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | sum_heuristic |
[
12,
24,
29,
16
] | 49 | [
"12+24=36",
"29-16=13",
"36+13=49"
] | Current State: 49:[12, 24, 29, 16], Operations: []
Exploring Operation: 12+24=36, Resulting Numbers: [29, 16, 36]
Generated Node #2: [29, 16, 36] from Operation: 12+24=36
Current State: 49:[29, 16, 36], Operations: ['12+24=36']
Exploring Operation: 29-16=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 29-16=13
Current State: 49:[36, 13], Operations: ['12+24=36', '29-16=13']
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[12, 24, 29, 16], Operations: []
Exploring Operation: 29+16=45, Resulting Numbers: [12, 24, 45]
Generated Node #0,0: 49:[12, 24, 45] Operation: 29+16=45
Exploring Operation: 24-16=8, Resulting Numbers: [12, 29, 8]
Generated Node #0,1: 49:[12, 29, 8] Operation: 24-16=8
Exploring Operation: 24+29=53, Resulting Numbers: [12, 16, 53]
Generated Node #0,2: 49:[12, 16, 53] Operation: 24+29=53
Exploring Operation: 29-16=13, Resulting Numbers: [12, 24, 13]
Generated Node #0,3: 49:[12, 24, 13] Operation: 29-16=13
Exploring Operation: 29-24=5, Resulting Numbers: [12, 16, 5]
Generated Node #0,4: 49:[12, 16, 5] Operation: 29-24=5
Start Sub Search at level 1: Moving to Node #0,4
Current State: 49:[12, 16, 5], Operations: ['29-24=5']
Exploring Operation: 12+5=17, Resulting Numbers: [16, 17]
Generated Node #0,4,0: 49:[16, 17] Operation: 12+5=17
Exploring Operation: 16-5=11, Resulting Numbers: [12, 11]
Generated Node #0,4,1: 49:[12, 11] Operation: 16-5=11
Exploring Operation: 12-5=7, Resulting Numbers: [16, 7]
Generated Node #0,4,2: 49:[16, 7] Operation: 12-5=7
Exploring Operation: 16+5=21, Resulting Numbers: [12, 21]
Generated Node #0,4,3: 49:[12, 21] Operation: 16+5=21
Exploring Operation: 16-12=4, Resulting Numbers: [5, 4]
Generated Node #0,4,4: 49:[5, 4] Operation: 16-12=4
Moving to Node #0,4,4
Current State: 49:[5, 4], Operations: ['29-24=5', '16-12=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Moving to Node #0,4,2
Current State: 49:[16, 7], Operations: ['29-24=5', '12-5=7']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,49 unequal: No Solution
Moving to Node #0,4,1
Current State: 49:[12, 11], Operations: ['29-24=5', '16-5=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,49 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Moving to Node #0,4,0
Current State: 49:[16, 17], Operations: ['29-24=5', '12+5=17']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,49 unequal: No Solution
Moving to Node #0,4,3
Current State: 49:[12, 21], Operations: ['29-24=5', '16+5=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,49 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,49 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
Current State: 49:[12, 16, 53], Operations: ['24+29=53']
Exploring Operation: 53-12=41, Resulting Numbers: [16, 41]
Generated Node #0,2,0: 49:[16, 41] Operation: 53-12=41
Exploring Operation: 53-16=37, Resulting Numbers: [12, 37]
Generated Node #0,2,1: 49:[12, 37] Operation: 53-16=37
Exploring Operation: 16-12=4, Resulting Numbers: [53, 4]
Generated Node #0,2,2: 49:[53, 4] Operation: 16-12=4
Exploring Operation: 12+53=65, Resulting Numbers: [16, 65]
Generated Node #0,2,3: 49:[16, 65] Operation: 12+53=65
Exploring Operation: 12+16=28, Resulting Numbers: [53, 28]
Generated Node #0,2,4: 49:[53, 28] Operation: 12+16=28
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[53, 4], Operations: ['24+29=53', '16-12=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[12, 24, 29, 16], Operations: []
Exploring Operation: 24+29=53, Resulting Numbers: [12, 16, 53]
Generated Node #0,2: 49:[12, 16, 53] Operation: 24+29=53
Moving to Node #0,2
Current State: 49:[12, 16, 53], Operations: ['24+29=53']
Exploring Operation: 16-12=4, Resulting Numbers: [53, 4]
Generated Node #0,2,2: 49:[53, 4] Operation: 16-12=4
Moving to Node #0,2,2
Current State: 49:[53, 4], Operations: ['24+29=53', '16-12=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
47,
89,
13,
93
] | 30 | [
"47+89=136",
"13+93=106",
"136-106=30"
] | Current State: 30:[47, 89, 13, 93], Operations: []
Exploring Operation: 47+89=136, Resulting Numbers: [13, 93, 136]
Generated Node #2: [13, 93, 136] from Operation: 47+89=136
Current State: 30:[13, 93, 136], Operations: ['47+89=136']
Exploring Operation: 13+93=106, Resulting Numbers: [136, 106]
Generated Node #3: [136, 106] from Operation: 13+93=106
Current State: 30:[136, 106], Operations: ['47+89=136', '13+93=106']
Exploring Operation: 136-106=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[47, 89, 13, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [47, 13, 4]
Generated Node #0,0: 30:[47, 13, 4] Operation: 93-89=4
Exploring Operation: 47-13=34, Resulting Numbers: [89, 93, 34]
Generated Node #0,1: 30:[89, 93, 34] Operation: 47-13=34
Exploring Operation: 93-47=46, Resulting Numbers: [89, 13, 46]
Generated Node #0,2: 30:[89, 13, 46] Operation: 93-47=46
Exploring Operation: 89-47=42, Resulting Numbers: [13, 93, 42]
Generated Node #0,3: 30:[13, 93, 42] Operation: 89-47=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[47, 13, 4], Operations: ['93-89=4']
Exploring Operation: 47-13=34, Resulting Numbers: [4, 34]
Generated Node #0,0,0: 30:[4, 34] Operation: 47-13=34
Exploring Operation: 13-4=9, Resulting Numbers: [47, 9]
Generated Node #0,0,1: 30:[47, 9] Operation: 13-4=9
Exploring Operation: 47-4=43, Resulting Numbers: [13, 43]
Generated Node #0,0,2: 30:[13, 43] Operation: 47-4=43
Exploring Operation: 13+4=17, Resulting Numbers: [47, 17]
Generated Node #0,0,3: 30:[47, 17] Operation: 13+4=17
Moving to Node #0,0,0
Current State: 30:[4, 34], Operations: ['93-89=4', '47-13=34']
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,30 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,30 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[47, 89, 13, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [47, 13, 4]
Generated Node #0,0: 30:[47, 13, 4] Operation: 93-89=4
Moving to Node #0,0
Current State: 30:[47, 13, 4], Operations: ['93-89=4']
Exploring Operation: 47-13=34, Resulting Numbers: [4, 34]
Generated Node #0,0,0: 30:[4, 34] Operation: 47-13=34
Moving to Node #0,0,0
Current State: 30:[4, 34], Operations: ['93-89=4', '47-13=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
48,
55,
8,
51
] | 66 | [
"55-48=7",
"8+51=59",
"7+59=66"
] | Current State: 66:[48, 55, 8, 51], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [8, 51, 7]
Generated Node #2: [8, 51, 7] from Operation: 55-48=7
Current State: 66:[8, 51, 7], Operations: ['55-48=7']
Exploring Operation: 8+51=59, Resulting Numbers: [7, 59]
Generated Node #3: [7, 59] from Operation: 8+51=59
Current State: 66:[7, 59], Operations: ['55-48=7', '8+51=59']
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[48, 55, 8, 51], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [48, 8, 4]
Generated Node #0,0: 66:[48, 8, 4] Operation: 55-51=4
Exploring Operation: 55-48=7, Resulting Numbers: [8, 51, 7]
Generated Node #0,1: 66:[8, 51, 7] Operation: 55-48=7
Exploring Operation: 51-48=3, Resulting Numbers: [55, 8, 3]
Generated Node #0,2: 66:[55, 8, 3] Operation: 51-48=3
Exploring Operation: 48/8=6, Resulting Numbers: [55, 51, 6]
Generated Node #0,3: 66:[55, 51, 6] Operation: 48/8=6
Moving to Node #0,2
Current State: 66:[55, 8, 3], Operations: ['51-48=3']
Exploring Operation: 8+3=11, Resulting Numbers: [55, 11]
Generated Node #0,2,0: 66:[55, 11] Operation: 8+3=11
Exploring Operation: 8-3=5, Resulting Numbers: [55, 5]
Generated Node #0,2,1: 66:[55, 5] Operation: 8-3=5
Exploring Operation: 55+8=63, Resulting Numbers: [3, 63]
Generated Node #0,2,2: 66:[3, 63] Operation: 55+8=63
Exploring Operation: 55+3=58, Resulting Numbers: [8, 58]
Generated Node #0,2,3: 66:[8, 58] Operation: 55+3=58
Moving to Node #0,1
Current State: 66:[8, 51, 7], Operations: ['55-48=7']
Exploring Operation: 51-8=43, Resulting Numbers: [7, 43]
Generated Node #0,1,0: 66:[7, 43] Operation: 51-8=43
Exploring Operation: 51+7=58, Resulting Numbers: [8, 58]
Generated Node #0,1,1: 66:[8, 58] Operation: 51+7=58
Exploring Operation: 8+51=59, Resulting Numbers: [7, 59]
Generated Node #0,1,2: 66:[7, 59] Operation: 8+51=59
Exploring Operation: 51-7=44, Resulting Numbers: [8, 44]
Generated Node #0,1,3: 66:[8, 44] Operation: 51-7=44
Moving to Node #0,0
Current State: 66:[48, 8, 4], Operations: ['55-51=4']
Exploring Operation: 48-8=40, Resulting Numbers: [4, 40]
Generated Node #0,0,0: 66:[4, 40] Operation: 48-8=40
Exploring Operation: 48+8=56, Resulting Numbers: [4, 56]
Generated Node #0,0,1: 66:[4, 56] Operation: 48+8=56
Exploring Operation: 48/8=6, Resulting Numbers: [4, 6]
Generated Node #0,0,2: 66:[4, 6] Operation: 48/8=6
Exploring Operation: 48/4=12, Resulting Numbers: [8, 12]
Generated Node #0,0,3: 66:[8, 12] Operation: 48/4=12
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[4, 6], Operations: ['55-51=4', '48/8=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 66:[8, 12], Operations: ['55-51=4', '48/4=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,66 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[4, 40], Operations: ['55-51=4', '48-8=40']
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,66 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,66 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[4, 56], Operations: ['55-51=4', '48+8=56']
Exploring Operation: 4*56=224, Resulting Numbers: [224]
224,66 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,66 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,66 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:[55, 51, 6], Operations: ['48/8=6']
Exploring Operation: 55+6=61, Resulting Numbers: [51, 61]
Generated Node #0,3,0: 66:[51, 61] Operation: 55+6=61
Exploring Operation: 51+6=57, Resulting Numbers: [55, 57]
Generated Node #0,3,1: 66:[55, 57] Operation: 51+6=57
Exploring Operation: 55-51=4, Resulting Numbers: [6, 4]
Generated Node #0,3,2: 66:[6, 4] Operation: 55-51=4
Exploring Operation: 51-6=45, Resulting Numbers: [55, 45]
Generated Node #0,3,3: 66:[55, 45] Operation: 51-6=45
Moving to Node #0,3,2
Current State: 66:[6, 4], Operations: ['48/8=6', '55-51=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[3, 63], Operations: ['51-48=3', '55+8=63']
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,66 unequal: No Solution
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[48, 55, 8, 51], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [55, 8, 3]
Generated Node #0,2: 66:[55, 8, 3] Operation: 51-48=3
Moving to Node #0,2
Current State: 66:[55, 8, 3], Operations: ['51-48=3']
Exploring Operation: 55+8=63, Resulting Numbers: [3, 63]
Generated Node #0,2,2: 66:[3, 63] Operation: 55+8=63
Moving to Node #0,2,2
Current State: 66:[3, 63], Operations: ['51-48=3', '55+8=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.962674 | hs_4 | sum_heuristic |
[
25,
84,
11,
9
] | 39 | [
"84-25=59",
"11+9=20",
"59-20=39"
] | Current State: 39:[25, 84, 11, 9], Operations: []
Exploring Operation: 84-25=59, Resulting Numbers: [11, 9, 59]
Generated Node #2: [11, 9, 59] from Operation: 84-25=59
Current State: 39:[11, 9, 59], Operations: ['84-25=59']
Exploring Operation: 11+9=20, Resulting Numbers: [59, 20]
Generated Node #3: [59, 20] from Operation: 11+9=20
Current State: 39:[59, 20], Operations: ['84-25=59', '11+9=20']
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[25, 84, 11, 9], Operations: []
Exploring Operation: 25-11=14, Resulting Numbers: [84, 9, 14]
Generated Node #0,0: 39:[84, 9, 14] Operation: 25-11=14
Exploring Operation: 84-11=73, Resulting Numbers: [25, 9, 73]
Generated Node #0,1: 39:[25, 9, 73] Operation: 84-11=73
Exploring Operation: 25-9=16, Resulting Numbers: [84, 11, 16]
Generated Node #0,2: 39:[84, 11, 16] Operation: 25-9=16
Exploring Operation: 84-25=59, Resulting Numbers: [11, 9, 59]
Generated Node #0,3: 39:[11, 9, 59] Operation: 84-25=59
Start Sub Search at level 1: Moving to Node #0,3
Current State: 39:[11, 9, 59], Operations: ['84-25=59']
Exploring Operation: 11-9=2, Resulting Numbers: [59, 2]
Generated Node #0,3,0: 39:[59, 2] Operation: 11-9=2
Exploring Operation: 59-11=48, Resulting Numbers: [9, 48]
Generated Node #0,3,1: 39:[9, 48] Operation: 59-11=48
Exploring Operation: 59-9=50, Resulting Numbers: [11, 50]
Generated Node #0,3,2: 39:[11, 50] Operation: 59-9=50
Exploring Operation: 11+9=20, Resulting Numbers: [59, 20]
Generated Node #0,3,3: 39:[59, 20] Operation: 11+9=20
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 39:[9, 48], Operations: ['84-25=59', '59-11=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,39 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[25, 84, 11, 9], Operations: []
Exploring Operation: 84-25=59, Resulting Numbers: [11, 9, 59]
Generated Node #0,3: 39:[11, 9, 59] Operation: 84-25=59
Moving to Node #0,3
Current State: 39:[11, 9, 59], Operations: ['84-25=59']
Exploring Operation: 59-11=48, Resulting Numbers: [9, 48]
Generated Node #0,3,1: 39:[9, 48] Operation: 59-11=48
Moving to Node #0,3,1
Current State: 39:[9, 48], Operations: ['84-25=59', '59-11=48']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
57,
24,
21,
34
] | 20 | [
"57-24=33",
"34-21=13",
"33-13=20"
] | Current State: 20:[57, 24, 21, 34], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [21, 34, 33]
Generated Node #2: [21, 34, 33] from Operation: 57-24=33
Current State: 20:[21, 34, 33], Operations: ['57-24=33']
Exploring Operation: 34-21=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 34-21=13
Current State: 20:[33, 13], Operations: ['57-24=33', '34-21=13']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[57, 24, 21, 34], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [21, 34, 33]
Generated Node #0,0: 20:[21, 34, 33] Operation: 57-24=33
Exploring Operation: 34-24=10, Resulting Numbers: [57, 21, 10]
Generated Node #0,1: 20:[57, 21, 10] Operation: 34-24=10
Exploring Operation: 57-21=36, Resulting Numbers: [24, 34, 36]
Generated Node #0,2: 20:[24, 34, 36] Operation: 57-21=36
Exploring Operation: 57-34=23, Resulting Numbers: [24, 21, 23]
Generated Node #0,3: 20:[24, 21, 23] Operation: 57-34=23
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[24, 21, 23], Operations: ['57-34=23']
Exploring Operation: 24-21=3, Resulting Numbers: [23, 3]
Generated Node #0,3,0: 20:[23, 3] Operation: 24-21=3
Exploring Operation: 23-21=2, Resulting Numbers: [24, 2]
Generated Node #0,3,1: 20:[24, 2] Operation: 23-21=2
Exploring Operation: 24+21=45, Resulting Numbers: [23, 45]
Generated Node #0,3,2: 20:[23, 45] Operation: 24+21=45
Exploring Operation: 24-23=1, Resulting Numbers: [21, 1]
Generated Node #0,3,3: 20:[21, 1] Operation: 24-23=1
Moving to Node #0,3,3
Current State: 20:[21, 1], Operations: ['57-34=23', '24-23=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[57, 24, 21, 34], Operations: []
Exploring Operation: 57-34=23, Resulting Numbers: [24, 21, 23]
Generated Node #0,3: 20:[24, 21, 23] Operation: 57-34=23
Moving to Node #0,3
Current State: 20:[24, 21, 23], Operations: ['57-34=23']
Exploring Operation: 24-23=1, Resulting Numbers: [21, 1]
Generated Node #0,3,3: 20:[21, 1] Operation: 24-23=1
Moving to Node #0,3,3
Current State: 20:[21, 1], Operations: ['57-34=23', '24-23=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
2,
38,
69,
87
] | 94 | [
"2*38=76",
"87-69=18",
"76+18=94"
] | Current State: 94:[2, 38, 69, 87], Operations: []
Exploring Operation: 2*38=76, Resulting Numbers: [69, 87, 76]
Generated Node #2: [69, 87, 76] from Operation: 2*38=76
Current State: 94:[69, 87, 76], Operations: ['2*38=76']
Exploring Operation: 87-69=18, Resulting Numbers: [76, 18]
Generated Node #3: [76, 18] from Operation: 87-69=18
Current State: 94:[76, 18], Operations: ['2*38=76', '87-69=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[2, 38, 69, 87], Operations: []
Exploring Operation: 38+69=107, Resulting Numbers: [2, 87, 107]
Generated Node #0,0: 94:[2, 87, 107] Operation: 38+69=107
Exploring Operation: 69-38=31, Resulting Numbers: [2, 87, 31]
Generated Node #0,1: 94:[2, 87, 31] Operation: 69-38=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[2, 87, 107], Operations: ['38+69=107']
Exploring Operation: 107-2=105, Resulting Numbers: [87, 105]
Generated Node #0,0,0: 94:[87, 105] Operation: 107-2=105
Exploring Operation: 2+87=89, Resulting Numbers: [107, 89]
Generated Node #0,0,1: 94:[107, 89] Operation: 2+87=89
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[87, 105], Operations: ['38+69=107', '107-2=105']
Exploring Operation: 105-87=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 87+105=192, Resulting Numbers: [192]
192,94 unequal: No Solution
No 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: 94:[107, 89], Operations: ['38+69=107', '2+87=89']
Exploring Operation: 107-89=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 107+89=196, Resulting Numbers: [196]
196,94 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[2, 87, 31], Operations: ['69-38=31']
Exploring Operation: 87-31=56, Resulting Numbers: [2, 56]
Generated Node #0,1,0: 94:[2, 56] Operation: 87-31=56
Exploring Operation: 2+87=89, Resulting Numbers: [31, 89]
Generated Node #0,1,1: 94:[31, 89] Operation: 2+87=89
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[2, 56], Operations: ['69-38=31', '87-31=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,94 unequal: No Solution
No 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: 94:[31, 89], Operations: ['69-38=31', '2+87=89']
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,94 unequal: No Solution
Exploring Operation: 31+89=120, Resulting Numbers: [120]
120,94 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_2 | sum_heuristic |
[
16,
56,
56,
68
] | 60 | [
"16+56=72",
"68-56=12",
"72-12=60"
] | Current State: 60:[16, 56, 56, 68], Operations: []
Exploring Operation: 16+56=72, Resulting Numbers: [68, 72]
Generated Node #2: [68, 72] from Operation: 16+56=72
Current State: 60:[68, 72], Operations: ['16+56=72']
Exploring Operation: 68-56=12, Resulting Numbers: [72, 12]
Generated Node #3: [72, 12] from Operation: 68-56=12
Current State: 60:[72, 12], Operations: ['16+56=72', '68-56=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[16, 56, 56, 68], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [16, 56, 12]
Generated Node #0,0: 60:[16, 56, 12] Operation: 68-56=12
Exploring Operation: 68-56=12, Resulting Numbers: [16, 56, 12]
Generated Node #0,1: 60:[16, 56, 12] Operation: 68-56=12
Moving to Node #0,0
Current State: 60:[16, 56, 12], Operations: ['68-56=12']
Exploring Operation: 16+12=28, Resulting Numbers: [56, 28]
Generated Node #0,0,0: 60:[56, 28] Operation: 16+12=28
Exploring Operation: 16-12=4, Resulting Numbers: [56, 4]
Generated Node #0,0,1: 60:[56, 4] Operation: 16-12=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[56, 4], Operations: ['68-56=12', '16-12=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[16, 56, 56, 68], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [16, 56, 12]
Generated Node #0,0: 60:[16, 56, 12] Operation: 68-56=12
Moving to Node #0,0
Current State: 60:[16, 56, 12], Operations: ['68-56=12']
Exploring Operation: 16-12=4, Resulting Numbers: [56, 4]
Generated Node #0,0,1: 60:[56, 4] Operation: 16-12=4
Moving to Node #0,0,1
Current State: 60:[56, 4], Operations: ['68-56=12', '16-12=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
42,
34,
83,
66
] | 40 | [
"83-66=17",
"34/17=2",
"42-2=40"
] | Current State: 40:[42, 34, 83, 66], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [42, 34, 17]
Generated Node #2: [42, 34, 17] from Operation: 83-66=17
Current State: 40:[42, 34, 17], Operations: ['83-66=17']
Exploring Operation: 34/17=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 34/17=2
Current State: 40:[42, 2], Operations: ['83-66=17', '34/17=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[42, 34, 83, 66], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [42, 34, 17]
Generated Node #0,0: 40:[42, 34, 17] Operation: 83-66=17
Exploring Operation: 66-42=24, Resulting Numbers: [34, 83, 24]
Generated Node #0,1: 40:[34, 83, 24] Operation: 66-42=24
Exploring Operation: 83-42=41, Resulting Numbers: [34, 66, 41]
Generated Node #0,2: 40:[34, 66, 41] Operation: 83-42=41
Exploring Operation: 83-34=49, Resulting Numbers: [42, 66, 49]
Generated Node #0,3: 40:[42, 66, 49] Operation: 83-34=49
Moving to Node #0,0
Current State: 40:[42, 34, 17], Operations: ['83-66=17']
Exploring Operation: 34/17=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 40:[42, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [42, 17]
Generated Node #0,0,1: 40:[42, 17] Operation: 34-17=17
Exploring Operation: 42-17=25, Resulting Numbers: [34, 25]
Generated Node #0,0,2: 40:[34, 25] Operation: 42-17=25
Exploring Operation: 42-34=8, Resulting Numbers: [17, 8]
Generated Node #0,0,3: 40:[17, 8] Operation: 42-34=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[42, 2], Operations: ['83-66=17', '34/17=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[42, 34, 83, 66], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [42, 34, 17]
Generated Node #0,0: 40:[42, 34, 17] Operation: 83-66=17
Moving to Node #0,0
Current State: 40:[42, 34, 17], Operations: ['83-66=17']
Exploring Operation: 34/17=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 40:[42, 2] Operation: 34/17=2
Moving to Node #0,0,0
Current State: 40:[42, 2], Operations: ['83-66=17', '34/17=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
34,
74,
85,
34
] | 100 | [
"74-34=40",
"85*40=3400",
"3400/34=100"
] | Current State: 100:[34, 74, 85, 34], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [85, 40]
Generated Node #2: [85, 40] from Operation: 74-34=40
Current State: 100:[85, 40], Operations: ['74-34=40']
Exploring Operation: 85*40=3400, Resulting Numbers: [3400]
3400,100 equal: Goal Reached
Exploring Operation: 3400/34=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[34, 74, 85, 34], Operations: []
Exploring Operation: 34+74=108, Resulting Numbers: [85, 34, 108]
Generated Node #0,0: 100:[85, 34, 108] Operation: 34+74=108
Exploring Operation: 74-34=40, Resulting Numbers: [85, 34, 40]
Generated Node #0,1: 100:[85, 34, 40] Operation: 74-34=40
Exploring Operation: 74+34=108, Resulting Numbers: [34, 85, 108]
Generated Node #0,2: 100:[34, 85, 108] Operation: 74+34=108
Exploring Operation: 85-34=51, Resulting Numbers: [74, 34, 51]
Generated Node #0,3: 100:[74, 34, 51] Operation: 85-34=51
Exploring Operation: 85-74=11, Resulting Numbers: [34, 34, 11]
Generated Node #0,4: 100:[34, 34, 11] Operation: 85-74=11
Start Sub Search at level 1: Moving to Node #0,4
Current State: 100:[34, 34, 11], Operations: ['85-74=11']
Exploring Operation: 34-11=23, Resulting Numbers: [34, 23]
Generated Node #0,4,0: 100:[34, 23] Operation: 34-11=23
Exploring Operation: 34-34=0, Resulting Numbers: [11, 0]
Generated Node #0,4,1: 100:[11, 0] Operation: 34-34=0
Exploring Operation: 34/34=1, Resulting Numbers: [11, 1]
Generated Node #0,4,2: 100:[11, 1] Operation: 34/34=1
Exploring Operation: 34-11=23, Resulting Numbers: [34, 23]
Generated Node #0,4,3: 100:[34, 23] Operation: 34-11=23
Exploring Operation: 34+11=45, Resulting Numbers: [34, 45]
Generated Node #0,4,4: 100:[34, 45] Operation: 34+11=45
Moving to Node #0,4,2
Current State: 100:[11, 1], Operations: ['85-74=11', '34/34=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Moving to Node #0,4,1
Current State: 100:[11, 0], Operations: ['85-74=11', '34-34=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 11*0=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Moving to Node #0,4,0
Current State: 100:[34, 23], Operations: ['85-74=11', '34-11=23']
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,100 unequal: No Solution
Moving to Node #0,4,3
Current State: 100:[34, 23], Operations: ['85-74=11', '34-11=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,100 unequal: No Solution
Moving to Node #0,4,4
Current State: 100:[34, 45], Operations: ['85-74=11', '34+11=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 34*45=1530, Resulting Numbers: [1530]
1530,100 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:[85, 34, 108], Operations: ['34+74=108']
Exploring Operation: 85-34=51, Resulting Numbers: [108, 51]
Generated Node #0,0,0: 100:[108, 51] Operation: 85-34=51
Exploring Operation: 34+108=142, Resulting Numbers: [85, 142]
Generated Node #0,0,1: 100:[85, 142] Operation: 34+108=142
Exploring Operation: 108-85=23, Resulting Numbers: [34, 23]
Generated Node #0,0,2: 100:[34, 23] Operation: 108-85=23
Exploring Operation: 85+34=119, Resulting Numbers: [108, 119]
Generated Node #0,0,3: 100:[108, 119] Operation: 85+34=119
Exploring Operation: 108-34=74, Resulting Numbers: [85, 74]
Generated Node #0,0,4: 100:[85, 74] Operation: 108-34=74
Moving to Node #0,0,0
Current State: 100:[108, 51], Operations: ['34+74=108', '85-34=51']
Exploring Operation: 108+51=159, Resulting Numbers: [159]
159,100 unequal: No Solution
Exploring Operation: 108-51=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 108*51=5508, Resulting Numbers: [5508]
5508,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[34, 23], Operations: ['34+74=108', '108-85=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[108, 119], Operations: ['34+74=108', '85+34=119']
Exploring Operation: 108*119=12852, Resulting Numbers: [12852]
12852,100 unequal: No Solution
Exploring Operation: 119-108=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 108+119=227, Resulting Numbers: [227]
227,100 unequal: No Solution
Moving to Node #0,0,4
Current State: 100:[85, 74], Operations: ['34+74=108', '108-34=74']
Exploring Operation: 85*74=6290, Resulting Numbers: [6290]
6290,100 unequal: No Solution
Exploring Operation: 85+74=159, Resulting Numbers: [159]
159,100 unequal: No Solution
Exploring Operation: 85-74=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[85, 142], Operations: ['34+74=108', '34+108=142']
Exploring Operation: 142-85=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 85*142=12070, Resulting Numbers: [12070]
12070,100 unequal: No Solution
Exploring Operation: 85+142=227, Resulting Numbers: [227]
227,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[34, 85, 108], Operations: ['74+34=108']
Exploring Operation: 108-85=23, Resulting Numbers: [34, 23]
Generated Node #0,2,0: 100:[34, 23] Operation: 108-85=23
Exploring Operation: 85-34=51, Resulting Numbers: [108, 51]
Generated Node #0,2,1: 100:[108, 51] Operation: 85-34=51
Exploring Operation: 34+108=142, Resulting Numbers: [85, 142]
Generated Node #0,2,2: 100:[85, 142] Operation: 34+108=142
Exploring Operation: 108-34=74, Resulting Numbers: [85, 74]
Generated Node #0,2,3: 100:[85, 74] Operation: 108-34=74
Exploring Operation: 34+85=119, Resulting Numbers: [108, 119]
Generated Node #0,2,4: 100:[108, 119] Operation: 34+85=119
Moving to Node #0,2,1
Current State: 100:[108, 51], Operations: ['74+34=108', '85-34=51']
Exploring Operation: 108-51=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 108+51=159, Resulting Numbers: [159]
159,100 unequal: No Solution
Exploring Operation: 108*51=5508, Resulting Numbers: [5508]
5508,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[34, 23], Operations: ['74+34=108', '108-85=23']
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,100 unequal: No Solution
Moving to Node #0,2,4
Current State: 100:[108, 119], Operations: ['74+34=108', '34+85=119']
Exploring Operation: 108*119=12852, Resulting Numbers: [12852]
12852,100 unequal: No Solution
Exploring Operation: 119-108=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 108+119=227, Resulting Numbers: [227]
227,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[85, 74], Operations: ['74+34=108', '108-34=74']
Exploring Operation: 85-74=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 85*74=6290, Resulting Numbers: [6290]
6290,100 unequal: No Solution
Exploring Operation: 85+74=159, Resulting Numbers: [159]
159,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[85, 142], Operations: ['74+34=108', '34+108=142']
Exploring Operation: 85+142=227, Resulting Numbers: [227]
227,100 unequal: No Solution
Exploring Operation: 142-85=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 85*142=12070, Resulting Numbers: [12070]
12070,100 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:[85, 34, 40], Operations: ['74-34=40']
Exploring Operation: 40-34=6, Resulting Numbers: [85, 6]
Generated Node #0,1,0: 100:[85, 6] Operation: 40-34=6
Exploring Operation: 85-40=45, Resulting Numbers: [34, 45]
Generated Node #0,1,1: 100:[34, 45] Operation: 85-40=45
Exploring Operation: 85+40=125, Resulting Numbers: [34, 125]
Generated Node #0,1,2: 100:[34, 125] Operation: 85+40=125
Exploring Operation: 85+34=119, Resulting Numbers: [40, 119]
Generated Node #0,1,3: 100:[40, 119] Operation: 85+34=119
Exploring Operation: 85-34=51, Resulting Numbers: [40, 51]
Generated Node #0,1,4: 100:[40, 51] Operation: 85-34=51
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 100:[40, 51], Operations: ['74-34=40', '85-34=51']
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 40+51=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 40*51=2040, Resulting Numbers: [2040]
2040,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[34, 45], Operations: ['74-34=40', '85-40=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 34*45=1530, Resulting Numbers: [1530]
1530,100 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[85, 6], Operations: ['74-34=40', '40-34=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,100 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 100:[40, 119], Operations: ['74-34=40', '85+34=119']
Exploring Operation: 40*119=4760, Resulting Numbers: [4760]
4760,100 unequal: No Solution
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,100 unequal: No Solution
Exploring Operation: 40+119=159, Resulting Numbers: [159]
159,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[34, 125], Operations: ['74-34=40', '85+40=125']
Exploring Operation: 34*125=4250, Resulting Numbers: [4250]
4250,100 unequal: No Solution
Exploring Operation: 34+125=159, Resulting Numbers: [159]
159,100 unequal: No Solution
Exploring Operation: 125-34=91, Resulting Numbers: [91]
91,100 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:[74, 34, 51], Operations: ['85-34=51']
Exploring Operation: 74+34=108, Resulting Numbers: [51, 108]
Generated Node #0,3,0: 100:[51, 108] Operation: 74+34=108
Exploring Operation: 74-51=23, Resulting Numbers: [34, 23]
Generated Node #0,3,1: 100:[34, 23] Operation: 74-51=23
Exploring Operation: 51-34=17, Resulting Numbers: [74, 17]
Generated Node #0,3,2: 100:[74, 17] Operation: 51-34=17
Exploring Operation: 74+51=125, Resulting Numbers: [34, 125]
Generated Node #0,3,3: 100:[34, 125] Operation: 74+51=125
Exploring Operation: 74-34=40, Resulting Numbers: [51, 40]
Generated Node #0,3,4: 100:[51, 40] Operation: 74-34=40
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 100:[51, 108], Operations: ['85-34=51', '74+34=108']
Exploring Operation: 51*108=5508, Resulting Numbers: [5508]
5508,100 unequal: No Solution
Exploring Operation: 51+108=159, Resulting Numbers: [159]
159,100 unequal: No Solution
Exploring Operation: 108-51=57, Resulting Numbers: [57]
57,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[34, 23], Operations: ['85-34=51', '74-51=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,100 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 100:[51, 40], Operations: ['85-34=51', '74-34=40']
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,100 unequal: No Solution
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 100:[74, 17], Operations: ['85-34=51', '51-34=17']
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 74*17=1258, Resulting Numbers: [1258]
1258,100 unequal: No Solution
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 100:[34, 125], Operations: ['85-34=51', '74+51=125']
Exploring Operation: 34+125=159, Resulting Numbers: [159]
159,100 unequal: No Solution
Exploring Operation: 125-34=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 34*125=4250, Resulting Numbers: [4250]
4250,100 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 |
[
77,
38,
29,
36
] | 81 | [
"38-29=9",
"36/9=4",
"77+4=81"
] | Current State: 81:[77, 38, 29, 36], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [77, 36, 9]
Generated Node #2: [77, 36, 9] from Operation: 38-29=9
Current State: 81:[77, 36, 9], Operations: ['38-29=9']
Exploring Operation: 36/9=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 36/9=4
Current State: 81:[77, 4], Operations: ['38-29=9', '36/9=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[77, 38, 29, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [77, 29, 2]
Generated Node #0,0: 81:[77, 29, 2] Operation: 38-36=2
Exploring Operation: 38-29=9, Resulting Numbers: [77, 36, 9]
Generated Node #0,1: 81:[77, 36, 9] Operation: 38-29=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[77, 29, 2], Operations: ['38-36=2']
Exploring Operation: 29-2=27, Resulting Numbers: [77, 27]
Generated Node #0,0,0: 81:[77, 27] Operation: 29-2=27
Exploring Operation: 77+2=79, Resulting Numbers: [29, 79]
Generated Node #0,0,1: 81:[29, 79] Operation: 77+2=79
Moving to Node #0,0,0
Current State: 81:[77, 27], Operations: ['38-36=2', '29-2=27']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[29, 79], Operations: ['38-36=2', '77+2=79']
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,81 unequal: No Solution
Exploring Operation: 29+79=108, Resulting Numbers: [108]
108,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[77, 36, 9], Operations: ['38-29=9']
Exploring Operation: 36/9=4, Resulting Numbers: [77, 4]
Generated Node #0,1,0: 81:[77, 4] Operation: 36/9=4
Exploring Operation: 36-9=27, Resulting Numbers: [77, 27]
Generated Node #0,1,1: 81:[77, 27] Operation: 36-9=27
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 81:[77, 27], Operations: ['38-29=9', '36-9=27']
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,81 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[77, 4], Operations: ['38-29=9', '36/9=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[77, 38, 29, 36], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [77, 36, 9]
Generated Node #0,1: 81:[77, 36, 9] Operation: 38-29=9
Moving to Node #0,1
Current State: 81:[77, 36, 9], Operations: ['38-29=9']
Exploring Operation: 36/9=4, Resulting Numbers: [77, 4]
Generated Node #0,1,0: 81:[77, 4] Operation: 36/9=4
Moving to Node #0,1,0
Current State: 81:[77, 4], Operations: ['38-29=9', '36/9=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
12,
27,
80,
12
] | 53 | [
"12+27=39",
"80+12=92",
"92-39=53"
] | Current State: 53:[12, 27, 80, 12], Operations: []
Exploring Operation: 12+27=39, Resulting Numbers: [80, 39]
Generated Node #2: [80, 39] from Operation: 12+27=39
Current State: 53:[80, 39], Operations: ['12+27=39']
Exploring Operation: 80+12=92, Resulting Numbers: [39, 92]
Generated Node #3: [39, 92] from Operation: 80+12=92
Current State: 53:[39, 92], Operations: ['12+27=39', '80+12=92']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[12, 27, 80, 12], Operations: []
Exploring Operation: 80-12=68, Resulting Numbers: [27, 12, 68]
Generated Node #0,0: 53:[27, 12, 68] Operation: 80-12=68
Exploring Operation: 12+12=24, Resulting Numbers: [27, 80, 24]
Generated Node #0,1: 53:[27, 80, 24] Operation: 12+12=24
Exploring Operation: 12+27=39, Resulting Numbers: [80, 12, 39]
Generated Node #0,2: 53:[80, 12, 39] Operation: 12+27=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[27, 12, 68], Operations: ['80-12=68']
Exploring Operation: 27+12=39, Resulting Numbers: [68, 39]
Generated Node #0,0,0: 53:[68, 39] Operation: 27+12=39
Exploring Operation: 68-12=56, Resulting Numbers: [27, 56]
Generated Node #0,0,1: 53:[27, 56] Operation: 68-12=56
Exploring Operation: 27-12=15, Resulting Numbers: [68, 15]
Generated Node #0,0,2: 53:[68, 15] Operation: 27-12=15
Moving to Node #0,0,0
Current State: 53:[68, 39], Operations: ['80-12=68', '27+12=39']
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[27, 56], Operations: ['80-12=68', '68-12=56']
Exploring Operation: 27+56=83, Resulting Numbers: [83]
83,53 unequal: No Solution
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 27*56=1512, Resulting Numbers: [1512]
1512,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[68, 15], Operations: ['80-12=68', '27-12=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,53 unequal: No Solution
Exploring Operation: 68*15=1020, Resulting Numbers: [1020]
1020,53 unequal: No Solution
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[12, 27, 80, 12], Operations: []
Exploring Operation: 80-12=68, Resulting Numbers: [27, 12, 68]
Generated Node #0,0: 53:[27, 12, 68] Operation: 80-12=68
Moving to Node #0,0
Current State: 53:[27, 12, 68], Operations: ['80-12=68']
Exploring Operation: 27-12=15, Resulting Numbers: [68, 15]
Generated Node #0,0,2: 53:[68, 15] Operation: 27-12=15
Moving to Node #0,0,2
Current State: 53:[68, 15], Operations: ['80-12=68', '27-12=15']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
90,
78,
3,
91
] | 25 | [
"91-90=1",
"78/3=26",
"26-1=25"
] | Current State: 25:[90, 78, 3, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [78, 3, 1]
Generated Node #2: [78, 3, 1] from Operation: 91-90=1
Current State: 25:[78, 3, 1], Operations: ['91-90=1']
Exploring Operation: 78/3=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 78/3=26
Current State: 25:[1, 26], Operations: ['91-90=1', '78/3=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[90, 78, 3, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [78, 3, 1]
Generated Node #0,0: 25:[78, 3, 1] Operation: 91-90=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[78, 3, 1], Operations: ['91-90=1']
Exploring Operation: 78/3=26, Resulting Numbers: [1, 26]
Generated Node #0,0,0: 25:[1, 26] Operation: 78/3=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[1, 26], Operations: ['91-90=1', '78/3=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[90, 78, 3, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [78, 3, 1]
Generated Node #0,0: 25:[78, 3, 1] Operation: 91-90=1
Moving to Node #0,0
Current State: 25:[78, 3, 1], Operations: ['91-90=1']
Exploring Operation: 78/3=26, Resulting Numbers: [1, 26]
Generated Node #0,0,0: 25:[1, 26] Operation: 78/3=26
Moving to Node #0,0,0
Current State: 25:[1, 26], Operations: ['91-90=1', '78/3=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
87,
27,
33,
29
] | 58 | [
"87-33=54",
"54/27=2",
"29*2=58"
] | Current State: 58:[87, 27, 33, 29], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [27, 29, 54]
Generated Node #2: [27, 29, 54] from Operation: 87-33=54
Current State: 58:[27, 29, 54], Operations: ['87-33=54']
Exploring Operation: 54/27=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 54/27=2
Current State: 58:[29, 2], Operations: ['87-33=54', '54/27=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[87, 27, 33, 29], Operations: []
Exploring Operation: 87-29=58, Resulting Numbers: [27, 33, 58]
Generated Node #0,0: 58:[27, 33, 58] Operation: 87-29=58
Exploring Operation: 87-27=60, Resulting Numbers: [33, 29, 60]
Generated Node #0,1: 58:[33, 29, 60] Operation: 87-27=60
Exploring Operation: 87-33=54, Resulting Numbers: [27, 29, 54]
Generated Node #0,2: 58:[27, 29, 54] Operation: 87-33=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[27, 33, 58], Operations: ['87-29=58']
Exploring Operation: 33-27=6, Resulting Numbers: [58, 6]
Generated Node #0,0,0: 58:[58, 6] Operation: 33-27=6
Exploring Operation: 27+33=60, Resulting Numbers: [58, 60]
Generated Node #0,0,1: 58:[58, 60] Operation: 27+33=60
Exploring Operation: 58-27=31, Resulting Numbers: [33, 31]
Generated Node #0,0,2: 58:[33, 31] Operation: 58-27=31
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[58, 60], Operations: ['87-29=58', '27+33=60']
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 58*60=3480, Resulting Numbers: [3480]
3480,58 unequal: No Solution
Exploring Operation: 58+60=118, Resulting Numbers: [118]
118,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[58, 6], Operations: ['87-29=58', '33-27=6']
Exploring Operation: 58*6=348, Resulting Numbers: [348]
348,58 unequal: No Solution
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[33, 31], Operations: ['87-29=58', '58-27=31']
Exploring Operation: 33*31=1023, Resulting Numbers: [1023]
1023,58 unequal: No Solution
Exploring Operation: 33+31=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[33, 29, 60], Operations: ['87-27=60']
Exploring Operation: 60-33=27, Resulting Numbers: [29, 27]
Generated Node #0,1,0: 58:[29, 27] Operation: 60-33=27
Exploring Operation: 33-29=4, Resulting Numbers: [60, 4]
Generated Node #0,1,1: 58:[60, 4] Operation: 33-29=4
Exploring Operation: 33+29=62, Resulting Numbers: [60, 62]
Generated Node #0,1,2: 58:[60, 62] Operation: 33+29=62
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[29, 27], Operations: ['87-27=60', '60-33=27']
Exploring Operation: 29+27=56, Resulting Numbers: [56]
56,58 unequal: No Solution
Exploring Operation: 29*27=783, Resulting Numbers: [783]
783,58 unequal: No Solution
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[60, 4], Operations: ['87-27=60', '33-29=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,58 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 58:[60, 62], Operations: ['87-27=60', '33+29=62']
Exploring Operation: 60*62=3720, Resulting Numbers: [3720]
3720,58 unequal: No Solution
Exploring Operation: 60+62=122, Resulting Numbers: [122]
122,58 unequal: No Solution
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[27, 29, 54], Operations: ['87-33=54']
Exploring Operation: 29-27=2, Resulting Numbers: [54, 2]
Generated Node #0,2,0: 58:[54, 2] Operation: 29-27=2
Exploring Operation: 54/27=2, Resulting Numbers: [29, 2]
Generated Node #0,2,1: 58:[29, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [29, 27]
Generated Node #0,2,2: 58:[29, 27] Operation: 54-27=27
Moving to Node #0,2,1
Current State: 58:[29, 2], Operations: ['87-33=54', '54/27=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[87, 27, 33, 29], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [27, 29, 54]
Generated Node #0,2: 58:[27, 29, 54] Operation: 87-33=54
Moving to Node #0,2
Current State: 58:[27, 29, 54], Operations: ['87-33=54']
Exploring Operation: 54/27=2, Resulting Numbers: [29, 2]
Generated Node #0,2,1: 58:[29, 2] Operation: 54/27=2
Moving to Node #0,2,1
Current State: 58:[29, 2], Operations: ['87-33=54', '54/27=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
31,
34,
83,
78
] | 51 | [
"83-31=52",
"34*78=2652",
"2652/52=51"
] | Current State: 51:[31, 34, 83, 78], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [34, 78, 52]
Generated Node #2: [34, 78, 52] from Operation: 83-31=52
Current State: 51:[34, 78, 52], Operations: ['83-31=52']
Exploring Operation: 34*78=2652, Resulting Numbers: [52, 2652]
Generated Node #3: [52, 2652] from Operation: 34*78=2652
Current State: 51:[52, 2652], Operations: ['83-31=52', '34*78=2652']
Exploring Operation: 2652/52=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[31, 34, 83, 78], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [31, 34, 5]
Generated Node #0,0: 51:[31, 34, 5] Operation: 83-78=5
Exploring Operation: 83-31=52, Resulting Numbers: [34, 78, 52]
Generated Node #0,1: 51:[34, 78, 52] Operation: 83-31=52
Exploring Operation: 78-31=47, Resulting Numbers: [34, 83, 47]
Generated Node #0,2: 51:[34, 83, 47] Operation: 78-31=47
Exploring Operation: 83-34=49, Resulting Numbers: [31, 78, 49]
Generated Node #0,3: 51:[31, 78, 49] Operation: 83-34=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[31, 34, 5], Operations: ['83-78=5']
Exploring Operation: 31+34=65, Resulting Numbers: [5, 65]
Generated Node #0,0,0: 51:[5, 65] Operation: 31+34=65
Exploring Operation: 34+5=39, Resulting Numbers: [31, 39]
Generated Node #0,0,1: 51:[31, 39] Operation: 34+5=39
Exploring Operation: 34-31=3, Resulting Numbers: [5, 3]
Generated Node #0,0,2: 51:[5, 3] Operation: 34-31=3
Exploring Operation: 31-5=26, Resulting Numbers: [34, 26]
Generated Node #0,0,3: 51:[34, 26] Operation: 31-5=26
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[5, 3], Operations: ['83-78=5', '34-31=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[5, 65], Operations: ['83-78=5', '31+34=65']
Exploring Operation: 5*65=325, Resulting Numbers: [325]
325,51 unequal: No Solution
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 5+65=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[31, 39], Operations: ['83-78=5', '34+5=39']
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 31*39=1209, Resulting Numbers: [1209]
1209,51 unequal: No Solution
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 51:[34, 26], Operations: ['83-78=5', '31-5=26']
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[31, 78, 49], Operations: ['83-34=49']
Exploring Operation: 49-31=18, Resulting Numbers: [78, 18]
Generated Node #0,3,0: 51:[78, 18] Operation: 49-31=18
Exploring Operation: 78-31=47, Resulting Numbers: [49, 47]
Generated Node #0,3,1: 51:[49, 47] Operation: 78-31=47
Exploring Operation: 78-49=29, Resulting Numbers: [31, 29]
Generated Node #0,3,2: 51:[31, 29] Operation: 78-49=29
Exploring Operation: 31+49=80, Resulting Numbers: [78, 80]
Generated Node #0,3,3: 51:[78, 80] Operation: 31+49=80
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 51:[49, 47], Operations: ['83-34=49', '78-31=47']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,51 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 51:[31, 29], Operations: ['83-34=49', '78-49=29']
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 31*29=899, Resulting Numbers: [899]
899,51 unequal: No Solution
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 51:[78, 18], Operations: ['83-34=49', '49-31=18']
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,51 unequal: No Solution
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 51:[78, 80], Operations: ['83-34=49', '31+49=80']
Exploring Operation: 80-78=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 78*80=6240, Resulting Numbers: [6240]
6240,51 unequal: No Solution
Exploring Operation: 78+80=158, Resulting Numbers: [158]
158,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[34, 78, 52], Operations: ['83-31=52']
Exploring Operation: 52-34=18, Resulting Numbers: [78, 18]
Generated Node #0,1,0: 51:[78, 18] Operation: 52-34=18
Exploring Operation: 78-34=44, Resulting Numbers: [52, 44]
Generated Node #0,1,1: 51:[52, 44] Operation: 78-34=44
Exploring Operation: 34+78=112, Resulting Numbers: [52, 112]
Generated Node #0,1,2: 51:[52, 112] Operation: 34+78=112
Exploring Operation: 78-52=26, Resulting Numbers: [34, 26]
Generated Node #0,1,3: 51:[34, 26] Operation: 78-52=26
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[52, 44], Operations: ['83-31=52', '78-34=44']
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,51 unequal: No Solution
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 51:[34, 26], Operations: ['83-31=52', '78-52=26']
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[78, 18], Operations: ['83-31=52', '52-34=18']
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,51 unequal: No Solution
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[52, 112], Operations: ['83-31=52', '34+78=112']
Exploring Operation: 52+112=164, Resulting Numbers: [164]
164,51 unequal: No Solution
Exploring Operation: 112-52=60, Resulting Numbers: [60]
60,51 unequal: No Solution
Exploring Operation: 52*112=5824, Resulting Numbers: [5824]
5824,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[34, 83, 47], Operations: ['78-31=47']
Exploring Operation: 83-34=49, Resulting Numbers: [47, 49]
Generated Node #0,2,0: 51:[47, 49] Operation: 83-34=49
Exploring Operation: 34+47=81, Resulting Numbers: [83, 81]
Generated Node #0,2,1: 51:[83, 81] Operation: 34+47=81
Exploring Operation: 47-34=13, Resulting Numbers: [83, 13]
Generated Node #0,2,2: 51:[83, 13] Operation: 47-34=13
Exploring Operation: 83-47=36, Resulting Numbers: [34, 36]
Generated Node #0,2,3: 51:[34, 36] Operation: 83-47=36
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[47, 49], Operations: ['78-31=47', '83-34=49']
Exploring Operation: 47*49=2303, Resulting Numbers: [2303]
2303,51 unequal: No Solution
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 51:[34, 36], Operations: ['78-31=47', '83-47=36']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[83, 13], Operations: ['78-31=47', '47-34=13']
Exploring Operation: 83-13=70, Resulting Numbers: [70]
70,51 unequal: No Solution
Exploring Operation: 83+13=96, Resulting Numbers: [96]
96,51 unequal: No Solution
Exploring Operation: 83*13=1079, Resulting Numbers: [1079]
1079,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[83, 81], Operations: ['78-31=47', '34+47=81']
Exploring Operation: 83*81=6723, Resulting Numbers: [6723]
6723,51 unequal: No Solution
Exploring Operation: 83-81=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 83+81=164, Resulting Numbers: [164]
164,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
5,
30,
78,
2
] | 38 | [
"5*2=10",
"78-30=48",
"48-10=38"
] | Current State: 38:[5, 30, 78, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [30, 78, 10]
Generated Node #2: [30, 78, 10] from Operation: 5*2=10
Current State: 38:[30, 78, 10], Operations: ['5*2=10']
Exploring Operation: 78-30=48, Resulting Numbers: [10, 48]
Generated Node #3: [10, 48] from Operation: 78-30=48
Current State: 38:[10, 48], Operations: ['5*2=10', '78-30=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[5, 30, 78, 2], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [5, 30, 39]
Generated Node #0,0: 38:[5, 30, 39] Operation: 78/2=39
Exploring Operation: 78-5=73, Resulting Numbers: [30, 2, 73]
Generated Node #0,1: 38:[30, 2, 73] Operation: 78-5=73
Exploring Operation: 5+30=35, Resulting Numbers: [78, 2, 35]
Generated Node #0,2: 38:[78, 2, 35] Operation: 5+30=35
Exploring Operation: 78-30=48, Resulting Numbers: [5, 2, 48]
Generated Node #0,3: 38:[5, 2, 48] Operation: 78-30=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[5, 30, 39], Operations: ['78/2=39']
Exploring Operation: 39-30=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 38:[5, 9] Operation: 39-30=9
Exploring Operation: 30-5=25, Resulting Numbers: [39, 25]
Generated Node #0,0,1: 38:[39, 25] Operation: 30-5=25
Exploring Operation: 5+30=35, Resulting Numbers: [39, 35]
Generated Node #0,0,2: 38:[39, 35] Operation: 5+30=35
Exploring Operation: 30/5=6, Resulting Numbers: [39, 6]
Generated Node #0,0,3: 38:[39, 6] Operation: 30/5=6
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[39, 35], Operations: ['78/2=39', '5+30=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,38 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 38:[39, 6], Operations: ['78/2=39', '30/5=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,38 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[39, 25], Operations: ['78/2=39', '30-5=25']
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,38 unequal: No Solution
Exploring Operation: 39*25=975, Resulting Numbers: [975]
975,38 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[5, 9], Operations: ['78/2=39', '39-30=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[5, 2, 48], Operations: ['78-30=48']
Exploring Operation: 48/2=24, Resulting Numbers: [5, 24]
Generated Node #0,3,0: 38:[5, 24] Operation: 48/2=24
Exploring Operation: 48-5=43, Resulting Numbers: [2, 43]
Generated Node #0,3,1: 38:[2, 43] Operation: 48-5=43
Exploring Operation: 48-2=46, Resulting Numbers: [5, 46]
Generated Node #0,3,2: 38:[5, 46] Operation: 48-2=46
Exploring Operation: 5-2=3, Resulting Numbers: [48, 3]
Generated Node #0,3,3: 38:[48, 3] Operation: 5-2=3
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 38:[2, 43], Operations: ['78-30=48', '48-5=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 38:[5, 24], Operations: ['78-30=48', '48/2=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,38 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,38 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 38:[5, 46], Operations: ['78-30=48', '48-2=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,38 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 38:[48, 3], Operations: ['78-30=48', '5-2=3']
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,38 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[30, 2, 73], Operations: ['78-5=73']
Exploring Operation: 73-2=71, Resulting Numbers: [30, 71]
Generated Node #0,1,0: 38:[30, 71] Operation: 73-2=71
Exploring Operation: 30/2=15, Resulting Numbers: [73, 15]
Generated Node #0,1,1: 38:[73, 15] Operation: 30/2=15
Exploring Operation: 73-30=43, Resulting Numbers: [2, 43]
Generated Node #0,1,2: 38:[2, 43] Operation: 73-30=43
Exploring Operation: 30+2=32, Resulting Numbers: [73, 32]
Generated Node #0,1,3: 38:[73, 32] Operation: 30+2=32
Moving to Node #0,1,2
Current State: 38:[2, 43], Operations: ['78-5=73', '73-30=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[73, 15], Operations: ['78-5=73', '30/2=15']
Exploring Operation: 73*15=1095, Resulting Numbers: [1095]
1095,38 unequal: No Solution
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,38 unequal: No Solution
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[73, 32], Operations: ['78-5=73', '30+2=32']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 73+32=105, Resulting Numbers: [105]
105,38 unequal: No Solution
Exploring Operation: 73*32=2336, Resulting Numbers: [2336]
2336,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[30, 71], Operations: ['78-5=73', '73-2=71']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 30+71=101, Resulting Numbers: [101]
101,38 unequal: No Solution
Exploring Operation: 30*71=2130, Resulting Numbers: [2130]
2130,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[78, 2, 35], Operations: ['5+30=35']
Exploring Operation: 2+35=37, Resulting Numbers: [78, 37]
Generated Node #0,2,0: 38:[78, 37] Operation: 2+35=37
Exploring Operation: 78-35=43, Resulting Numbers: [2, 43]
Generated Node #0,2,1: 38:[2, 43] Operation: 78-35=43
Exploring Operation: 78-2=76, Resulting Numbers: [35, 76]
Generated Node #0,2,2: 38:[35, 76] Operation: 78-2=76
Exploring Operation: 78/2=39, Resulting Numbers: [35, 39]
Generated Node #0,2,3: 38:[35, 39] Operation: 78/2=39
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 38:[35, 39], Operations: ['5+30=35', '78/2=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,38 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 35*39=1365, Resulting Numbers: [1365]
1365,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[2, 43], Operations: ['5+30=35', '78-35=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,38 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[78, 37], Operations: ['5+30=35', '2+35=37']
Exploring Operation: 78+37=115, Resulting Numbers: [115]
115,38 unequal: No Solution
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 78*37=2886, Resulting Numbers: [2886]
2886,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[35, 76], Operations: ['5+30=35', '78-2=76']
Exploring Operation: 35*76=2660, Resulting Numbers: [2660]
2660,38 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 35+76=111, Resulting Numbers: [111]
111,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
31,
9,
41,
50
] | 49 | [
"31+9=40",
"50-41=9",
"40+9=49"
] | Current State: 49:[31, 9, 41, 50], Operations: []
Exploring Operation: 31+9=40, Resulting Numbers: [41, 50, 40]
Generated Node #2: [41, 50, 40] from Operation: 31+9=40
Current State: 49:[41, 50, 40], Operations: ['31+9=40']
Exploring Operation: 50-41=9, Resulting Numbers: [40, 9]
Generated Node #3: [40, 9] from Operation: 50-41=9
Current State: 49:[40, 9], Operations: ['31+9=40', '50-41=9']
Exploring Operation: 40+9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[31, 9, 41, 50], Operations: []
Exploring Operation: 9+41=50, Resulting Numbers: [31, 50, 50]
Generated Node #0,0: 49:[31, 50, 50] Operation: 9+41=50
Exploring Operation: 41-31=10, Resulting Numbers: [9, 50, 10]
Generated Node #0,1: 49:[9, 50, 10] Operation: 41-31=10
Exploring Operation: 31+9=40, Resulting Numbers: [41, 50, 40]
Generated Node #0,2: 49:[41, 50, 40] Operation: 31+9=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[9, 50, 10], Operations: ['41-31=10']
Exploring Operation: 50/10=5, Resulting Numbers: [9, 5]
Generated Node #0,1,0: 49:[9, 5] Operation: 50/10=5
Exploring Operation: 50-9=41, Resulting Numbers: [10, 41]
Generated Node #0,1,1: 49:[10, 41] Operation: 50-9=41
Exploring Operation: 10-9=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 49:[50, 1] Operation: 10-9=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[9, 5], Operations: ['41-31=10', '50/10=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,49 unequal: No Solution
No 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: 49:[50, 1], Operations: ['41-31=10', '10-9=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[31, 9, 41, 50], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [9, 50, 10]
Generated Node #0,1: 49:[9, 50, 10] Operation: 41-31=10
Moving to Node #0,1
Current State: 49:[9, 50, 10], Operations: ['41-31=10']
Exploring Operation: 10-9=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 49:[50, 1] Operation: 10-9=1
Moving to Node #0,1,2
Current State: 49:[50, 1], Operations: ['41-31=10', '10-9=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
36,
24,
16,
20
] | 38 | [
"24+16=40",
"40/20=2",
"36+2=38"
] | Current State: 38:[36, 24, 16, 20], Operations: []
Exploring Operation: 24+16=40, Resulting Numbers: [36, 20, 40]
Generated Node #2: [36, 20, 40] from Operation: 24+16=40
Current State: 38:[36, 20, 40], Operations: ['24+16=40']
Exploring Operation: 40/20=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 40/20=2
Current State: 38:[36, 2], Operations: ['24+16=40', '40/20=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[36, 24, 16, 20], Operations: []
Exploring Operation: 16+20=36, Resulting Numbers: [36, 24, 36]
Generated Node #0,0: 38:[36, 24, 36] Operation: 16+20=36
Exploring Operation: 36-16=20, Resulting Numbers: [24, 20, 20]
Generated Node #0,1: 38:[24, 20, 20] Operation: 36-16=20
Exploring Operation: 24+16=40, Resulting Numbers: [36, 20, 40]
Generated Node #0,2: 38:[36, 20, 40] Operation: 24+16=40
Exploring Operation: 24-20=4, Resulting Numbers: [36, 16, 4]
Generated Node #0,3: 38:[36, 16, 4] Operation: 24-20=4
Exploring Operation: 24-16=8, Resulting Numbers: [36, 20, 8]
Generated Node #0,4: 38:[36, 20, 8] Operation: 24-16=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[36, 20, 40], Operations: ['24+16=40']
Exploring Operation: 40-36=4, Resulting Numbers: [20, 4]
Generated Node #0,2,0: 38:[20, 4] Operation: 40-36=4
Exploring Operation: 36-20=16, Resulting Numbers: [40, 16]
Generated Node #0,2,1: 38:[40, 16] Operation: 36-20=16
Exploring Operation: 36+20=56, Resulting Numbers: [40, 56]
Generated Node #0,2,2: 38:[40, 56] Operation: 36+20=56
Exploring Operation: 40/20=2, Resulting Numbers: [36, 2]
Generated Node #0,2,3: 38:[36, 2] Operation: 40/20=2
Exploring Operation: 40-20=20, Resulting Numbers: [36, 20]
Generated Node #0,2,4: 38:[36, 20] Operation: 40-20=20
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 38:[36, 2], Operations: ['24+16=40', '40/20=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,38 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[36, 24, 16, 20], Operations: []
Exploring Operation: 24+16=40, Resulting Numbers: [36, 20, 40]
Generated Node #0,2: 38:[36, 20, 40] Operation: 24+16=40
Moving to Node #0,2
Current State: 38:[36, 20, 40], Operations: ['24+16=40']
Exploring Operation: 40/20=2, Resulting Numbers: [36, 2]
Generated Node #0,2,3: 38:[36, 2] Operation: 40/20=2
Moving to Node #0,2,3
Current State: 38:[36, 2], Operations: ['24+16=40', '40/20=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
7,
92,
58,
18
] | 39 | [
"7*92=644",
"58+644=702",
"702/18=39"
] | Current State: 39:[7, 92, 58, 18], Operations: []
Exploring Operation: 7*92=644, Resulting Numbers: [58, 18, 644]
Generated Node #2: [58, 18, 644] from Operation: 7*92=644
Current State: 39:[58, 18, 644], Operations: ['7*92=644']
Exploring Operation: 58+644=702, Resulting Numbers: [18, 702]
Generated Node #3: [18, 702] from Operation: 58+644=702
Current State: 39:[18, 702], Operations: ['7*92=644', '58+644=702']
Exploring Operation: 702/18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[7, 92, 58, 18], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [7, 18, 34]
Generated Node #0,0: 39:[7, 18, 34] Operation: 92-58=34
Moving to Node #0,0
Current State: 39:[7, 18, 34], Operations: ['92-58=34']
Exploring Operation: 18-7=11, Resulting Numbers: [34, 11]
Generated Node #0,0,0: 39:[34, 11] Operation: 18-7=11
Moving to Node #0,0,0
Current State: 39:[34, 11], Operations: ['92-58=34', '18-7=11']
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,39 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
54,
68,
55,
17
] | 86 | [
"68-54=14",
"55+17=72",
"14+72=86"
] | Current State: 86:[54, 68, 55, 17], Operations: []
Exploring Operation: 68-54=14, Resulting Numbers: [55, 17, 14]
Generated Node #2: [55, 17, 14] from Operation: 68-54=14
Current State: 86:[55, 17, 14], Operations: ['68-54=14']
Exploring Operation: 55+17=72, Resulting Numbers: [14, 72]
Generated Node #3: [14, 72] from Operation: 55+17=72
Current State: 86:[14, 72], Operations: ['68-54=14', '55+17=72']
Exploring Operation: 14+72=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[54, 68, 55, 17], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [54, 55, 4]
Generated Node #0,0: 86:[54, 55, 4] Operation: 68/17=4
Exploring Operation: 68+17=85, Resulting Numbers: [54, 55, 85]
Generated Node #0,1: 86:[54, 55, 85] Operation: 68+17=85
Moving to Node #0,1
Current State: 86:[54, 55, 85], Operations: ['68+17=85']
Exploring Operation: 54+55=109, Resulting Numbers: [85, 109]
Generated Node #0,1,0: 86:[85, 109] Operation: 54+55=109
Exploring Operation: 55-54=1, Resulting Numbers: [85, 1]
Generated Node #0,1,1: 86:[85, 1] Operation: 55-54=1
Moving to Node #0,0
Current State: 86:[54, 55, 4], Operations: ['68/17=4']
Exploring Operation: 55-54=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 86:[4, 1] Operation: 55-54=1
Exploring Operation: 54-4=50, Resulting Numbers: [55, 50]
Generated Node #0,0,1: 86:[55, 50] Operation: 54-4=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[4, 1], Operations: ['68/17=4', '55-54=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Exploring Operation: 4-1=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 #0,0,1
Current State: 86:[55, 50], Operations: ['68/17=4', '54-4=50']
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 55+50=105, Resulting Numbers: [105]
105,86 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: 86:[85, 1], Operations: ['68+17=85', '55-54=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[54, 68, 55, 17], Operations: []
Exploring Operation: 68+17=85, Resulting Numbers: [54, 55, 85]
Generated Node #0,1: 86:[54, 55, 85] Operation: 68+17=85
Moving to Node #0,1
Current State: 86:[54, 55, 85], Operations: ['68+17=85']
Exploring Operation: 55-54=1, Resulting Numbers: [85, 1]
Generated Node #0,1,1: 86:[85, 1] Operation: 55-54=1
Moving to Node #0,1,1
Current State: 86:[85, 1], Operations: ['68+17=85', '55-54=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
33,
17,
32,
57
] | 25 | [
"33+17=50",
"57-32=25",
"50-25=25"
] | Current State: 25:[33, 17, 32, 57], Operations: []
Exploring Operation: 33+17=50, Resulting Numbers: [32, 57, 50]
Generated Node #2: [32, 57, 50] from Operation: 33+17=50
Current State: 25:[32, 57, 50], Operations: ['33+17=50']
Exploring Operation: 57-32=25, Resulting Numbers: [50, 25]
Generated Node #3: [50, 25] from Operation: 57-32=25
Current State: 25:[50, 25], Operations: ['33+17=50', '57-32=25']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[33, 17, 32, 57], Operations: []
Exploring Operation: 57-17=40, Resulting Numbers: [33, 32, 40]
Generated Node #0,0: 25:[33, 32, 40] Operation: 57-17=40
Exploring Operation: 57-32=25, Resulting Numbers: [33, 17, 25]
Generated Node #0,1: 25:[33, 17, 25] Operation: 57-32=25
Exploring Operation: 33-32=1, Resulting Numbers: [17, 57, 1]
Generated Node #0,2: 25:[17, 57, 1] Operation: 33-32=1
Exploring Operation: 33-17=16, Resulting Numbers: [32, 57, 16]
Generated Node #0,3: 25:[32, 57, 16] Operation: 33-17=16
Exploring Operation: 57-33=24, Resulting Numbers: [17, 32, 24]
Generated Node #0,4: 25:[17, 32, 24] Operation: 57-33=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[33, 17, 25], Operations: ['57-32=25']
Exploring Operation: 25-17=8, Resulting Numbers: [33, 8]
Generated Node #0,1,0: 25:[33, 8] Operation: 25-17=8
Exploring Operation: 33-25=8, Resulting Numbers: [17, 8]
Generated Node #0,1,1: 25:[17, 8] Operation: 33-25=8
Exploring Operation: 17+25=42, Resulting Numbers: [33, 42]
Generated Node #0,1,2: 25:[33, 42] Operation: 17+25=42
Exploring Operation: 33+17=50, Resulting Numbers: [25, 50]
Generated Node #0,1,3: 25:[25, 50] Operation: 33+17=50
Exploring Operation: 33-17=16, Resulting Numbers: [25, 16]
Generated Node #0,1,4: 25:[25, 16] Operation: 33-17=16
Moving to Node #0,1,4
Current State: 25:[25, 16], Operations: ['57-32=25', '33-17=16']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,25 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[17, 8], Operations: ['57-32=25', '33-25=8']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,25 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[33, 17, 32, 57], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [33, 17, 25]
Generated Node #0,1: 25:[33, 17, 25] Operation: 57-32=25
Moving to Node #0,1
Current State: 25:[33, 17, 25], Operations: ['57-32=25']
Exploring Operation: 33-25=8, Resulting Numbers: [17, 8]
Generated Node #0,1,1: 25:[17, 8] Operation: 33-25=8
Moving to Node #0,1,1
Current State: 25:[17, 8], Operations: ['57-32=25', '33-25=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
76,
3,
20,
74
] | 14 | [
"76-74=2",
"3*2=6",
"20-6=14"
] | Current State: 14:[76, 3, 20, 74], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [3, 20, 2]
Generated Node #2: [3, 20, 2] from Operation: 76-74=2
Current State: 14:[3, 20, 2], Operations: ['76-74=2']
Exploring Operation: 3*2=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 3*2=6
Current State: 14:[20, 6], Operations: ['76-74=2', '3*2=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[76, 3, 20, 74], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [3, 20, 2]
Generated Node #0,0: 14:[3, 20, 2] Operation: 76-74=2
Exploring Operation: 76-20=56, Resulting Numbers: [3, 74, 56]
Generated Node #0,1: 14:[3, 74, 56] Operation: 76-20=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[3, 20, 2], Operations: ['76-74=2']
Exploring Operation: 20/2=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 14:[3, 10] Operation: 20/2=10
Exploring Operation: 20-3=17, Resulting Numbers: [2, 17]
Generated Node #0,0,1: 14:[2, 17] Operation: 20-3=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[2, 17], Operations: ['76-74=2', '20-3=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,14 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,14 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 #0,0,0
Current State: 14:[3, 10], Operations: ['76-74=2', '20/2=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,14 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,14 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, 74, 56], Operations: ['76-20=56']
Exploring Operation: 74-56=18, Resulting Numbers: [3, 18]
Generated Node #0,1,0: 14:[3, 18] Operation: 74-56=18
Exploring Operation: 74-3=71, Resulting Numbers: [56, 71]
Generated Node #0,1,1: 14:[56, 71] Operation: 74-3=71
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[3, 18], Operations: ['76-20=56', '74-56=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,14 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 #0,1,1
Current State: 14:[56, 71], Operations: ['76-20=56', '74-3=71']
Exploring Operation: 56+71=127, Resulting Numbers: [127]
127,14 unequal: No Solution
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,14 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
No solution found.
| 0 | hs_2 | sum_heuristic |
[
13,
93,
18,
17
] | 14 | [
"13+18=31",
"93/31=3",
"17-3=14"
] | Current State: 14:[13, 93, 18, 17], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [93, 17, 31]
Generated Node #2: [93, 17, 31] from Operation: 13+18=31
Current State: 14:[93, 17, 31], Operations: ['13+18=31']
Exploring Operation: 93/31=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 93/31=3
Current State: 14:[17, 3], Operations: ['13+18=31', '93/31=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[13, 93, 18, 17], Operations: []
Exploring Operation: 93-18=75, Resulting Numbers: [13, 17, 75]
Generated Node #0,0: 14:[13, 17, 75] Operation: 93-18=75
Moving to Node #0,0
Current State: 14:[13, 17, 75], Operations: ['93-18=75']
Exploring Operation: 75-17=58, Resulting Numbers: [13, 58]
Generated Node #0,0,0: 14:[13, 58] Operation: 75-17=58
Moving to Node #0,0,0
Current State: 14:[13, 58], Operations: ['93-18=75', '75-17=58']
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,14 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
46,
19,
49,
4
] | 26 | [
"46-19=27",
"49+4=53",
"53-27=26"
] | Current State: 26:[46, 19, 49, 4], Operations: []
Exploring Operation: 46-19=27, Resulting Numbers: [49, 4, 27]
Generated Node #2: [49, 4, 27] from Operation: 46-19=27
Current State: 26:[49, 4, 27], Operations: ['46-19=27']
Exploring Operation: 49+4=53, Resulting Numbers: [27, 53]
Generated Node #3: [27, 53] from Operation: 49+4=53
Current State: 26:[27, 53], Operations: ['46-19=27', '49+4=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[46, 19, 49, 4], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [19, 4, 3]
Generated Node #0,0: 26:[19, 4, 3] Operation: 49-46=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[19, 4, 3], Operations: ['49-46=3']
Exploring Operation: 19-4=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 26:[3, 15] Operation: 19-4=15
Moving to Node #0,0,0
Current State: 26:[3, 15], Operations: ['49-46=3', '19-4=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
28,
30,
46,
59
] | 45 | [
"28+30=58",
"59-46=13",
"58-13=45"
] | Current State: 45:[28, 30, 46, 59], Operations: []
Exploring Operation: 28+30=58, Resulting Numbers: [46, 59, 58]
Generated Node #2: [46, 59, 58] from Operation: 28+30=58
Current State: 45:[46, 59, 58], Operations: ['28+30=58']
Exploring Operation: 59-46=13, Resulting Numbers: [58, 13]
Generated Node #3: [58, 13] from Operation: 59-46=13
Current State: 45:[58, 13], Operations: ['28+30=58', '59-46=13']
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[28, 30, 46, 59], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [46, 59, 2]
Generated Node #0,0: 45:[46, 59, 2] Operation: 30-28=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[46, 59, 2], Operations: ['30-28=2']
Exploring Operation: 59-46=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 45:[2, 13] Operation: 59-46=13
Moving to Node #0,0,0
Current State: 45:[2, 13], Operations: ['30-28=2', '59-46=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
96,
88,
76,
80
] | 82 | [
"96*76=7296",
"7296-80=7216",
"7216/88=82"
] | Current State: 82:[96, 88, 76, 80], Operations: []
Exploring Operation: 96*76=7296, Resulting Numbers: [88, 80, 7296]
Generated Node #2: [88, 80, 7296] from Operation: 96*76=7296
Current State: 82:[88, 80, 7296], Operations: ['96*76=7296']
Exploring Operation: 7296-80=7216, Resulting Numbers: [88, 7216]
Generated Node #3: [88, 7216] from Operation: 7296-80=7216
Current State: 82:[88, 7216], Operations: ['96*76=7296', '7296-80=7216']
Exploring Operation: 7216/88=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[96, 88, 76, 80], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [76, 80, 8]
Generated Node #0,0: 82:[76, 80, 8] Operation: 96-88=8
Moving to Node #0,0
Current State: 82:[76, 80, 8], Operations: ['96-88=8']
Exploring Operation: 76+8=84, Resulting Numbers: [80, 84]
Generated Node #0,0,0: 82:[80, 84] Operation: 76+8=84
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[80, 84], Operations: ['96-88=8', '76+8=84']
Exploring Operation: 84-80=4, Resulting Numbers: [4]
4,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
30,
6,
19,
12
] | 10 | [
"6+19=25",
"12*25=300",
"300/30=10"
] | Current State: 10:[30, 6, 19, 12], Operations: []
Exploring Operation: 6+19=25, Resulting Numbers: [30, 12, 25]
Generated Node #2: [30, 12, 25] from Operation: 6+19=25
Current State: 10:[30, 12, 25], Operations: ['6+19=25']
Exploring Operation: 12*25=300, Resulting Numbers: [30, 300]
Generated Node #3: [30, 300] from Operation: 12*25=300
Current State: 10:[30, 300], Operations: ['6+19=25', '12*25=300']
Exploring Operation: 300/30=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[30, 6, 19, 12], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [19, 12, 5]
Generated Node #0,0: 10:[19, 12, 5] Operation: 30/6=5
Exploring Operation: 30-19=11, Resulting Numbers: [6, 12, 11]
Generated Node #0,1: 10:[6, 12, 11] Operation: 30-19=11
Moving to Node #0,1
Current State: 10:[6, 12, 11], Operations: ['30-19=11']
Exploring Operation: 12/6=2, Resulting Numbers: [11, 2]
Generated Node #0,1,0: 10:[11, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [11, 6]
Generated Node #0,1,1: 10:[11, 6] Operation: 12-6=6
Moving to Node #0,0
Current State: 10:[19, 12, 5], Operations: ['30/6=5']
Exploring Operation: 19-5=14, Resulting Numbers: [12, 14]
Generated Node #0,0,0: 10:[12, 14] Operation: 19-5=14
Exploring Operation: 19-12=7, Resulting Numbers: [5, 7]
Generated Node #0,0,1: 10:[5, 7] Operation: 19-12=7
Moving to Node #0,1,0
Current State: 10:[11, 2], Operations: ['30-19=11', '12/6=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[5, 7], Operations: ['30/6=5', '19-12=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[11, 6], Operations: ['30-19=11', '12-6=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[12, 14], Operations: ['30/6=5', '19-5=14']
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,10 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,10 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
99,
21,
38
] | 98 | [
"17+21=38",
"38/38=1",
"99-1=98"
] | Current State: 98:[17, 99, 21, 38], Operations: []
Exploring Operation: 17+21=38, Resulting Numbers: [99, 38, 38]
Generated Node #2: [99, 38, 38] from Operation: 17+21=38
Current State: 98:[99, 38, 38], Operations: ['17+21=38']
Exploring Operation: 38/38=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 38/38=1
Current State: 98:[99, 1], Operations: ['17+21=38', '38/38=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[17, 99, 21, 38], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [99, 38, 4]
Generated Node #0,0: 98:[99, 38, 4] Operation: 21-17=4
Exploring Operation: 17+38=55, Resulting Numbers: [99, 21, 55]
Generated Node #0,1: 98:[99, 21, 55] Operation: 17+38=55
Exploring Operation: 38-21=17, Resulting Numbers: [17, 99, 17]
Generated Node #0,2: 98:[17, 99, 17] Operation: 38-21=17
Moving to Node #0,2
Current State: 98:[17, 99, 17], Operations: ['38-21=17']
Exploring Operation: 17/17=1, Resulting Numbers: [99, 1]
Generated Node #0,2,0: 98:[99, 1] Operation: 17/17=1
Exploring Operation: 17-17=0, Resulting Numbers: [99, 0]
Generated Node #0,2,1: 98:[99, 0] Operation: 17-17=0
Exploring Operation: 17+17=34, Resulting Numbers: [99, 34]
Generated Node #0,2,2: 98:[99, 34] Operation: 17+17=34
Moving to Node #0,0
Current State: 98:[99, 38, 4], Operations: ['21-17=4']
Exploring Operation: 99-38=61, Resulting Numbers: [4, 61]
Generated Node #0,0,0: 98:[4, 61] Operation: 99-38=61
Exploring Operation: 99-4=95, Resulting Numbers: [38, 95]
Generated Node #0,0,1: 98:[38, 95] Operation: 99-4=95
Exploring Operation: 38+4=42, Resulting Numbers: [99, 42]
Generated Node #0,0,2: 98:[99, 42] Operation: 38+4=42
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 98:[99, 42], Operations: ['21-17=4', '38+4=42']
Exploring Operation: 99+42=141, Resulting Numbers: [141]
141,98 unequal: No Solution
Exploring Operation: 99*42=4158, Resulting Numbers: [4158]
4158,98 unequal: No Solution
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[4, 61], Operations: ['21-17=4', '99-38=61']
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,98 unequal: No Solution
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,98 unequal: No Solution
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[38, 95], Operations: ['21-17=4', '99-4=95']
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,98 unequal: No Solution
Exploring Operation: 38*95=3610, Resulting Numbers: [3610]
3610,98 unequal: No Solution
Exploring Operation: 38+95=133, Resulting Numbers: [133]
133,98 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: 98:[99, 21, 55], Operations: ['17+38=55']
Exploring Operation: 55-21=34, Resulting Numbers: [99, 34]
Generated Node #0,1,0: 98:[99, 34] Operation: 55-21=34
Exploring Operation: 99-55=44, Resulting Numbers: [21, 44]
Generated Node #0,1,1: 98:[21, 44] Operation: 99-55=44
Exploring Operation: 21+55=76, Resulting Numbers: [99, 76]
Generated Node #0,1,2: 98:[99, 76] Operation: 21+55=76
Moving to Node #0,2,0
Current State: 98:[99, 1], Operations: ['38-21=17', '17/17=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[17, 99, 21, 38], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [17, 99, 17]
Generated Node #0,2: 98:[17, 99, 17] Operation: 38-21=17
Moving to Node #0,2
Current State: 98:[17, 99, 17], Operations: ['38-21=17']
Exploring Operation: 17/17=1, Resulting Numbers: [99, 1]
Generated Node #0,2,0: 98:[99, 1] Operation: 17/17=1
Moving to Node #0,2,0
Current State: 98:[99, 1], Operations: ['38-21=17', '17/17=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
14,
11,
23,
9
] | 17 | [
"14-11=3",
"23-9=14",
"3+14=17"
] | Current State: 17:[14, 11, 23, 9], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [23, 9, 3]
Generated Node #2: [23, 9, 3] from Operation: 14-11=3
Current State: 17:[23, 9, 3], Operations: ['14-11=3']
Exploring Operation: 23-9=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 23-9=14
Current State: 17:[3, 14], Operations: ['14-11=3', '23-9=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[14, 11, 23, 9], Operations: []
Exploring Operation: 23-11=12, Resulting Numbers: [14, 9, 12]
Generated Node #0,0: 17:[14, 9, 12] Operation: 23-11=12
Exploring Operation: 23-9=14, Resulting Numbers: [14, 11, 14]
Generated Node #0,1: 17:[14, 11, 14] Operation: 23-9=14
Exploring Operation: 11+9=20, Resulting Numbers: [14, 23, 20]
Generated Node #0,2: 17:[14, 23, 20] Operation: 11+9=20
Moving to Node #0,1
Current State: 17:[14, 11, 14], Operations: ['23-9=14']
Exploring Operation: 11+14=25, Resulting Numbers: [14, 25]
Generated Node #0,1,0: 17:[14, 25] Operation: 11+14=25
Exploring Operation: 14-11=3, Resulting Numbers: [14, 3]
Generated Node #0,1,1: 17:[14, 3] Operation: 14-11=3
Exploring Operation: 14+11=25, Resulting Numbers: [14, 25]
Generated Node #0,1,2: 17:[14, 25] Operation: 14+11=25
Moving to Node #0,2
Current State: 17:[14, 23, 20], Operations: ['11+9=20']
Exploring Operation: 20-14=6, Resulting Numbers: [23, 6]
Generated Node #0,2,0: 17:[23, 6] Operation: 20-14=6
Exploring Operation: 23-20=3, Resulting Numbers: [14, 3]
Generated Node #0,2,1: 17:[14, 3] Operation: 23-20=3
Exploring Operation: 23-14=9, Resulting Numbers: [20, 9]
Generated Node #0,2,2: 17:[20, 9] Operation: 23-14=9
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[20, 9], Operations: ['11+9=20', '23-14=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,17 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:[23, 6], Operations: ['11+9=20', '20-14=6']
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,17 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[14, 11, 23, 9], Operations: []
Exploring Operation: 11+9=20, Resulting Numbers: [14, 23, 20]
Generated Node #0,2: 17:[14, 23, 20] Operation: 11+9=20
Moving to Node #0,2
Current State: 17:[14, 23, 20], Operations: ['11+9=20']
Exploring Operation: 20-14=6, Resulting Numbers: [23, 6]
Generated Node #0,2,0: 17:[23, 6] Operation: 20-14=6
Moving to Node #0,2,0
Current State: 17:[23, 6], Operations: ['11+9=20', '20-14=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
82,
79,
84,
14
] | 72 | [
"84-82=2",
"14/2=7",
"79-7=72"
] | Current State: 72:[82, 79, 84, 14], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [79, 14, 2]
Generated Node #2: [79, 14, 2] from Operation: 84-82=2
Current State: 72:[79, 14, 2], Operations: ['84-82=2']
Exploring Operation: 14/2=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 14/2=7
Current State: 72:[79, 7], Operations: ['84-82=2', '14/2=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[82, 79, 84, 14], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [79, 14, 2]
Generated Node #0,0: 72:[79, 14, 2] Operation: 84-82=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[79, 14, 2], Operations: ['84-82=2']
Exploring Operation: 79-14=65, Resulting Numbers: [2, 65]
Generated Node #0,0,0: 72:[2, 65] Operation: 79-14=65
Moving to Node #0,0,0
Current State: 72:[2, 65], Operations: ['84-82=2', '79-14=65']
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
23,
50,
20,
47
] | 94 | [
"50-23=27",
"20+47=67",
"27+67=94"
] | Current State: 94:[23, 50, 20, 47], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [20, 47, 27]
Generated Node #2: [20, 47, 27] from Operation: 50-23=27
Current State: 94:[20, 47, 27], Operations: ['50-23=27']
Exploring Operation: 20+47=67, Resulting Numbers: [27, 67]
Generated Node #3: [27, 67] from Operation: 20+47=67
Current State: 94:[27, 67], Operations: ['50-23=27', '20+47=67']
Exploring Operation: 27+67=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[23, 50, 20, 47], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [20, 47, 27]
Generated Node #0,0: 94:[20, 47, 27] Operation: 50-23=27
Exploring Operation: 23+20=43, Resulting Numbers: [50, 47, 43]
Generated Node #0,1: 94:[50, 47, 43] Operation: 23+20=43
Exploring Operation: 50-20=30, Resulting Numbers: [23, 47, 30]
Generated Node #0,2: 94:[23, 47, 30] Operation: 50-20=30
Exploring Operation: 23-20=3, Resulting Numbers: [50, 47, 3]
Generated Node #0,3: 94:[50, 47, 3] Operation: 23-20=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[50, 47, 3], Operations: ['23-20=3']
Exploring Operation: 50+3=53, Resulting Numbers: [47, 53]
Generated Node #0,3,0: 94:[47, 53] Operation: 50+3=53
Exploring Operation: 50+47=97, Resulting Numbers: [3, 97]
Generated Node #0,3,1: 94:[3, 97] Operation: 50+47=97
Exploring Operation: 50-47=3, Resulting Numbers: [3, 3]
Generated Node #0,3,2: 94:[3, 3] Operation: 50-47=3
Exploring Operation: 50-3=47, Resulting Numbers: [47, 47]
Generated Node #0,3,3: 94:[47, 47] Operation: 50-3=47
Moving to Node #0,3,3
Current State: 94:[47, 47], Operations: ['23-20=3', '50-3=47']
Exploring Operation: 47/47=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 47-47=0, Resulting Numbers: [0]
0,94 unequal: No Solution
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[23, 50, 20, 47], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [50, 47, 3]
Generated Node #0,3: 94:[50, 47, 3] Operation: 23-20=3
Moving to Node #0,3
Current State: 94:[50, 47, 3], Operations: ['23-20=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47, 47]
Generated Node #0,3,3: 94:[47, 47] Operation: 50-3=47
Moving to Node #0,3,3
Current State: 94:[47, 47], Operations: ['23-20=3', '50-3=47']
Exploring Operation: 47+47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
70,
29,
13,
73
] | 14 | [
"73-70=3",
"29+13=42",
"42/3=14"
] | Current State: 14:[70, 29, 13, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [29, 13, 3]
Generated Node #2: [29, 13, 3] from Operation: 73-70=3
Current State: 14:[29, 13, 3], Operations: ['73-70=3']
Exploring Operation: 29+13=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 29+13=42
Current State: 14:[3, 42], Operations: ['73-70=3', '29+13=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[70, 29, 13, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [29, 13, 3]
Generated Node #0,0: 14:[29, 13, 3] Operation: 73-70=3
Moving to Node #0,0
Current State: 14:[29, 13, 3], Operations: ['73-70=3']
Exploring Operation: 29-13=16, Resulting Numbers: [3, 16]
Generated Node #0,0,0: 14:[3, 16] Operation: 29-13=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[3, 16], Operations: ['73-70=3', '29-13=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,14 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 |
[
61,
78,
24,
87
] | 39 | [
"61+24=85",
"87-85=2",
"78/2=39"
] | Current State: 39:[61, 78, 24, 87], Operations: []
Exploring Operation: 61+24=85, Resulting Numbers: [78, 87, 85]
Generated Node #2: [78, 87, 85] from Operation: 61+24=85
Current State: 39:[78, 87, 85], Operations: ['61+24=85']
Exploring Operation: 87-85=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 87-85=2
Current State: 39:[78, 2], Operations: ['61+24=85', '87-85=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[61, 78, 24, 87], Operations: []
Exploring Operation: 78-61=17, Resulting Numbers: [24, 87, 17]
Generated Node #0,0: 39:[24, 87, 17] Operation: 78-61=17
Exploring Operation: 87-78=9, Resulting Numbers: [61, 24, 9]
Generated Node #0,1: 39:[61, 24, 9] Operation: 87-78=9
Exploring Operation: 87-61=26, Resulting Numbers: [78, 24, 26]
Generated Node #0,2: 39:[78, 24, 26] Operation: 87-61=26
Moving to Node #0,1
Current State: 39:[61, 24, 9], Operations: ['87-78=9']
Exploring Operation: 61-9=52, Resulting Numbers: [24, 52]
Generated Node #0,1,0: 39:[24, 52] Operation: 61-9=52
Exploring Operation: 24-9=15, Resulting Numbers: [61, 15]
Generated Node #0,1,1: 39:[61, 15] Operation: 24-9=15
Exploring Operation: 61-24=37, Resulting Numbers: [9, 37]
Generated Node #0,1,2: 39:[9, 37] Operation: 61-24=37
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[9, 37], Operations: ['87-78=9', '61-24=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,39 unequal: No Solution
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[24, 52], Operations: ['87-78=9', '61-9=52']
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[61, 15], Operations: ['87-78=9', '24-9=15']
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,39 unequal: No Solution
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,39 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: 39:[24, 87, 17], Operations: ['78-61=17']
Exploring Operation: 87-17=70, Resulting Numbers: [24, 70]
Generated Node #0,0,0: 39:[24, 70] Operation: 87-17=70
Exploring Operation: 24+17=41, Resulting Numbers: [87, 41]
Generated Node #0,0,1: 39:[87, 41] Operation: 24+17=41
Exploring Operation: 87-24=63, Resulting Numbers: [17, 63]
Generated Node #0,0,2: 39:[17, 63] Operation: 87-24=63
Moving to Node #0,2
Current State: 39:[78, 24, 26], Operations: ['87-61=26']
Exploring Operation: 78/26=3, Resulting Numbers: [24, 3]
Generated Node #0,2,0: 39:[24, 3] Operation: 78/26=3
Exploring Operation: 78-26=52, Resulting Numbers: [24, 52]
Generated Node #0,2,1: 39:[24, 52] Operation: 78-26=52
Exploring Operation: 78-24=54, Resulting Numbers: [26, 54]
Generated Node #0,2,2: 39:[26, 54] Operation: 78-24=54
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[24, 3], Operations: ['87-61=26', '78/26=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[24, 52], Operations: ['87-61=26', '78-26=52']
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,39 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[26, 54], Operations: ['87-61=26', '78-24=54']
Exploring Operation: 26*54=1404, Resulting Numbers: [1404]
1404,39 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 26+54=80, Resulting Numbers: [80]
80,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 39:[17, 63], Operations: ['78-61=17', '87-24=63']
Exploring Operation: 17+63=80, Resulting Numbers: [80]
80,39 unequal: No Solution
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 17*63=1071, Resulting Numbers: [1071]
1071,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[24, 70], Operations: ['78-61=17', '87-17=70']
Exploring Operation: 24+70=94, Resulting Numbers: [94]
94,39 unequal: No Solution
Exploring Operation: 24*70=1680, Resulting Numbers: [1680]
1680,39 unequal: No Solution
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[87, 41], Operations: ['78-61=17', '24+17=41']
Exploring Operation: 87-41=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 87+41=128, Resulting Numbers: [128]
128,39 unequal: No Solution
Exploring Operation: 87*41=3567, Resulting Numbers: [3567]
3567,39 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
37,
24,
37,
59
] | 47 | [
"37*37=1369",
"24*59=1416",
"1416-1369=47"
] | Current State: 47:[37, 24, 37, 59], Operations: []
Exploring Operation: 37*37=1369, Resulting Numbers: [24, 59, 1369]
Generated Node #2: [24, 59, 1369] from Operation: 37*37=1369
Current State: 47:[24, 59, 1369], Operations: ['37*37=1369']
Exploring Operation: 24*59=1416, Resulting Numbers: [1369, 1416]
Generated Node #3: [1369, 1416] from Operation: 24*59=1416
Current State: 47:[1369, 1416], Operations: ['37*37=1369', '24*59=1416']
Exploring Operation: 1416-1369=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[37, 24, 37, 59], Operations: []
Exploring Operation: 59-24=35, Resulting Numbers: [37, 37, 35]
Generated Node #0,0: 47:[37, 37, 35] Operation: 59-24=35
Moving to Node #0,0
Current State: 47:[37, 37, 35], Operations: ['59-24=35']
Exploring Operation: 37+35=72, Resulting Numbers: [37, 72]
Generated Node #0,0,0: 47:[37, 72] Operation: 37+35=72
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[37, 72], Operations: ['59-24=35', '37+35=72']
Exploring Operation: 72-37=35, Resulting Numbers: [35]
35,47 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 |
[
84,
4,
46,
2
] | 71 | [
"84/4=21",
"46*2=92",
"92-21=71"
] | Current State: 71:[84, 4, 46, 2], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [46, 2, 21]
Generated Node #2: [46, 2, 21] from Operation: 84/4=21
Current State: 71:[46, 2, 21], Operations: ['84/4=21']
Exploring Operation: 46*2=92, Resulting Numbers: [21, 92]
Generated Node #3: [21, 92] from Operation: 46*2=92
Current State: 71:[21, 92], Operations: ['84/4=21', '46*2=92']
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[84, 4, 46, 2], Operations: []
Exploring Operation: 4*2=8, Resulting Numbers: [84, 46, 8]
Generated Node #0,0: 71:[84, 46, 8] Operation: 4*2=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[84, 46, 8], Operations: ['4*2=8']
Exploring Operation: 84-8=76, Resulting Numbers: [46, 76]
Generated Node #0,0,0: 71:[46, 76] Operation: 84-8=76
Moving to Node #0,0,0
Current State: 71:[46, 76], Operations: ['4*2=8', '84-8=76']
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,71 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 |
[
79,
82,
29,
27
] | 85 | [
"29-27=2",
"82*2=164",
"164-79=85"
] | Current State: 85:[79, 82, 29, 27], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [79, 82, 2]
Generated Node #2: [79, 82, 2] from Operation: 29-27=2
Current State: 85:[79, 82, 2], Operations: ['29-27=2']
Exploring Operation: 82*2=164, Resulting Numbers: [79, 164]
Generated Node #3: [79, 164] from Operation: 82*2=164
Current State: 85:[79, 164], Operations: ['29-27=2', '82*2=164']
Exploring Operation: 164-79=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[79, 82, 29, 27], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [79, 82, 2]
Generated Node #0,0: 85:[79, 82, 2] Operation: 29-27=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[79, 82, 2], Operations: ['29-27=2']
Exploring Operation: 82-79=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 85:[2, 3] Operation: 82-79=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[2, 3], Operations: ['29-27=2', '82-79=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
4,
2,
64
] | 36 | [
"64-4=60",
"60/2=30",
"66-30=36"
] | Current State: 36:[66, 4, 2, 64], Operations: []
Exploring Operation: 64-4=60, Resulting Numbers: [66, 2, 60]
Generated Node #2: [66, 2, 60] from Operation: 64-4=60
Current State: 36:[66, 2, 60], Operations: ['64-4=60']
Exploring Operation: 60/2=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 60/2=30
Current State: 36:[66, 30], Operations: ['64-4=60', '60/2=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[66, 4, 2, 64], Operations: []
Exploring Operation: 66-4=62, Resulting Numbers: [2, 64, 62]
Generated Node #0,0: 36:[2, 64, 62] Operation: 66-4=62
Exploring Operation: 64/4=16, Resulting Numbers: [66, 2, 16]
Generated Node #0,1: 36:[66, 2, 16] Operation: 64/4=16
Exploring Operation: 66-64=2, Resulting Numbers: [4, 2, 2]
Generated Node #0,2: 36:[4, 2, 2] Operation: 66-64=2
Exploring Operation: 66/2=33, Resulting Numbers: [4, 64, 33]
Generated Node #0,3: 36:[4, 64, 33] Operation: 66/2=33
Exploring Operation: 64/2=32, Resulting Numbers: [66, 4, 32]
Generated Node #0,4: 36:[66, 4, 32] Operation: 64/2=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[4, 2, 2], Operations: ['66-64=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2, 2]
Generated Node #0,2,0: 36:[2, 2] Operation: 4/2=2
Exploring Operation: 4+2=6, Resulting Numbers: [2, 6]
Generated Node #0,2,1: 36:[2, 6] Operation: 4+2=6
Exploring Operation: 4+2=6, Resulting Numbers: [2, 6]
Generated Node #0,2,2: 36:[2, 6] Operation: 4+2=6
Exploring Operation: 4-2=2, Resulting Numbers: [2, 2]
Generated Node #0,2,3: 36:[2, 2] Operation: 4-2=2
Exploring Operation: 4-2=2, Resulting Numbers: [2, 2]
Generated Node #0,2,4: 36:[2, 2] Operation: 4-2=2
Moving to Node #0,2,0
Current State: 36:[2, 2], Operations: ['66-64=2', '4/2=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[2, 6], Operations: ['66-64=2', '4+2=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Moving to Node #0,2,4
Current State: 36:[2, 2], Operations: ['66-64=2', '4-2=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[2, 6], Operations: ['66-64=2', '4+2=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[2, 2], Operations: ['66-64=2', '4-2=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,36 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
Current State: 36:[4, 64, 33], Operations: ['66/2=33']
Exploring Operation: 4+33=37, Resulting Numbers: [64, 37]
Generated Node #0,3,0: 36:[64, 37] Operation: 4+33=37
Exploring Operation: 64-33=31, Resulting Numbers: [4, 31]
Generated Node #0,3,1: 36:[4, 31] Operation: 64-33=31
Exploring Operation: 64-4=60, Resulting Numbers: [33, 60]
Generated Node #0,3,2: 36:[33, 60] Operation: 64-4=60
Exploring Operation: 4+64=68, Resulting Numbers: [33, 68]
Generated Node #0,3,3: 36:[33, 68] Operation: 4+64=68
Exploring Operation: 64/4=16, Resulting Numbers: [33, 16]
Generated Node #0,3,4: 36:[33, 16] Operation: 64/4=16
Moving to Node #0,3,1
Current State: 36:[4, 31], Operations: ['66/2=33', '64-33=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[33, 16], Operations: ['66/2=33', '64/4=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,36 unequal: No Solution
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[33, 60], Operations: ['66/2=33', '64-4=60']
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,36 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 33*60=1980, Resulting Numbers: [1980]
1980,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[64, 37], Operations: ['66/2=33', '4+33=37']
Exploring Operation: 64+37=101, Resulting Numbers: [101]
101,36 unequal: No Solution
Exploring Operation: 64*37=2368, Resulting Numbers: [2368]
2368,36 unequal: No Solution
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[33, 68], Operations: ['66/2=33', '4+64=68']
Exploring Operation: 33+68=101, Resulting Numbers: [101]
101,36 unequal: No Solution
Exploring Operation: 33*68=2244, Resulting Numbers: [2244]
2244,36 unequal: No Solution
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,36 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 #0,1
Current State: 36:[66, 2, 16], Operations: ['64/4=16']
Exploring Operation: 66-16=50, Resulting Numbers: [2, 50]
Generated Node #0,1,0: 36:[2, 50] Operation: 66-16=50
Exploring Operation: 2+16=18, Resulting Numbers: [66, 18]
Generated Node #0,1,1: 36:[66, 18] Operation: 2+16=18
Exploring Operation: 16/2=8, Resulting Numbers: [66, 8]
Generated Node #0,1,2: 36:[66, 8] Operation: 16/2=8
Exploring Operation: 66-2=64, Resulting Numbers: [16, 64]
Generated Node #0,1,3: 36:[16, 64] Operation: 66-2=64
Exploring Operation: 66/2=33, Resulting Numbers: [16, 33]
Generated Node #0,1,4: 36:[16, 33] Operation: 66/2=33
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 36:[16, 33], Operations: ['64/4=16', '66/2=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,36 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,36 unequal: No Solution
No 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: 36:[2, 50], Operations: ['64/4=16', '66-16=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,36 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,36 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,36 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,36 unequal: No Solution
No 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: 36:[66, 18], Operations: ['64/4=16', '2+16=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,36 unequal: No Solution
Exploring Operation: 66*18=1188, Resulting Numbers: [1188]
1188,36 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,36 unequal: No Solution
No 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: 36:[16, 64], Operations: ['64/4=16', '66-2=64']
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,36 unequal: No Solution
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,36 unequal: No Solution
Exploring Operation: 16*64=1024, Resulting Numbers: [1024]
1024,36 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,36 unequal: No Solution
No 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: 36:[66, 8], Operations: ['64/4=16', '16/2=8']
Exploring Operation: 66+8=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 66*8=528, Resulting Numbers: [528]
528,36 unequal: No Solution
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,36 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
Start Sub Search at level 1: Moving to Node #0,4
Current State: 36:[66, 4, 32], Operations: ['64/2=32']
Exploring Operation: 4+32=36, Resulting Numbers: [66, 36]
Generated Node #0,4,0: 36:[66, 36] Operation: 4+32=36
Exploring Operation: 66-4=62, Resulting Numbers: [32, 62]
Generated Node #0,4,1: 36:[32, 62] Operation: 66-4=62
Exploring Operation: 32/4=8, Resulting Numbers: [66, 8]
Generated Node #0,4,2: 36:[66, 8] Operation: 32/4=8
Exploring Operation: 66-32=34, Resulting Numbers: [4, 34]
Generated Node #0,4,3: 36:[4, 34] Operation: 66-32=34
Exploring Operation: 66+4=70, Resulting Numbers: [32, 70]
Generated Node #0,4,4: 36:[32, 70] Operation: 66+4=70
Moving to Node #0,4,3
Current State: 36:[4, 34], Operations: ['64/2=32', '66-32=34']
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,36 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Moving to Node #0,4,1
Current State: 36:[32, 62], Operations: ['64/2=32', '66-4=62']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 32*62=1984, Resulting Numbers: [1984]
1984,36 unequal: No Solution
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,36 unequal: No Solution
Moving to Node #0,4,0
Current State: 36:[66, 36], Operations: ['64/2=32', '4+32=36']
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 66+36=102, Resulting Numbers: [102]
102,36 unequal: No Solution
Exploring Operation: 66*36=2376, Resulting Numbers: [2376]
2376,36 unequal: No Solution
Moving to Node #0,4,2
Current State: 36:[66, 8], Operations: ['64/2=32', '32/4=8']
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,36 unequal: No Solution
Exploring Operation: 66+8=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 66*8=528, Resulting Numbers: [528]
528,36 unequal: No Solution
Moving to Node #0,4,4
Current State: 36:[32, 70], Operations: ['64/2=32', '66+4=70']
Exploring Operation: 32+70=102, Resulting Numbers: [102]
102,36 unequal: No Solution
Exploring Operation: 32*70=2240, Resulting Numbers: [2240]
2240,36 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,36 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
Current State: 36:[2, 64, 62], Operations: ['66-4=62']
Exploring Operation: 64/2=32, Resulting Numbers: [62, 32]
Generated Node #0,0,0: 36:[62, 32] Operation: 64/2=32
Exploring Operation: 62-2=60, Resulting Numbers: [64, 60]
Generated Node #0,0,1: 36:[64, 60] Operation: 62-2=60
Exploring Operation: 62/2=31, Resulting Numbers: [64, 31]
Generated Node #0,0,2: 36:[64, 31] Operation: 62/2=31
Exploring Operation: 64-2=62, Resulting Numbers: [62, 62]
Generated Node #0,0,3: 36:[62, 62] Operation: 64-2=62
Exploring Operation: 64-62=2, Resulting Numbers: [2, 2]
Generated Node #0,0,4: 36:[2, 2] Operation: 64-62=2
Moving to Node #0,0,4
Current State: 36:[2, 2], Operations: ['66-4=62', '64-62=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[62, 32], Operations: ['66-4=62', '64/2=32']
Exploring Operation: 62*32=1984, Resulting Numbers: [1984]
1984,36 unequal: No Solution
Exploring Operation: 62+32=94, Resulting Numbers: [94]
94,36 unequal: No Solution
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[64, 31], Operations: ['66-4=62', '62/2=31']
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,36 unequal: No Solution
Exploring Operation: 64*31=1984, Resulting Numbers: [1984]
1984,36 unequal: No Solution
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[64, 60], Operations: ['66-4=62', '62-2=60']
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,36 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[62, 62], Operations: ['66-4=62', '64-2=62']
Exploring Operation: 62*62=3844, Resulting Numbers: [3844]
3844,36 unequal: No Solution
Exploring Operation: 62/62=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 62-62=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 62+62=124, Resulting Numbers: [124]
124,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
11,
63,
51,
65
] | 29 | [
"65-63=2",
"11*2=22",
"51-22=29"
] | Current State: 29:[11, 63, 51, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [11, 51, 2]
Generated Node #2: [11, 51, 2] from Operation: 65-63=2
Current State: 29:[11, 51, 2], Operations: ['65-63=2']
Exploring Operation: 11*2=22, Resulting Numbers: [51, 22]
Generated Node #3: [51, 22] from Operation: 11*2=22
Current State: 29:[51, 22], Operations: ['65-63=2', '11*2=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[11, 63, 51, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [11, 51, 2]
Generated Node #0,0: 29:[11, 51, 2] Operation: 65-63=2
Exploring Operation: 63-51=12, Resulting Numbers: [11, 65, 12]
Generated Node #0,1: 29:[11, 65, 12] Operation: 63-51=12
Exploring Operation: 65-51=14, Resulting Numbers: [11, 63, 14]
Generated Node #0,2: 29:[11, 63, 14] Operation: 65-51=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[11, 51, 2], Operations: ['65-63=2']
Exploring Operation: 11+2=13, Resulting Numbers: [51, 13]
Generated Node #0,0,0: 29:[51, 13] Operation: 11+2=13
Exploring Operation: 51-11=40, Resulting Numbers: [2, 40]
Generated Node #0,0,1: 29:[2, 40] Operation: 51-11=40
Exploring Operation: 11*2=22, Resulting Numbers: [51, 22]
Generated Node #0,0,2: 29:[51, 22] Operation: 11*2=22
Moving to Node #0,0,2
Current State: 29:[51, 22], Operations: ['65-63=2', '11*2=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[11, 63, 51, 65], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [11, 51, 2]
Generated Node #0,0: 29:[11, 51, 2] Operation: 65-63=2
Moving to Node #0,0
Current State: 29:[11, 51, 2], Operations: ['65-63=2']
Exploring Operation: 11*2=22, Resulting Numbers: [51, 22]
Generated Node #0,0,2: 29:[51, 22] Operation: 11*2=22
Moving to Node #0,0,2
Current State: 29:[51, 22], Operations: ['65-63=2', '11*2=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
1,
32,
16,
77
] | 92 | [
"32-1=31",
"77-16=61",
"31+61=92"
] | Current State: 92:[1, 32, 16, 77], Operations: []
Exploring Operation: 32-1=31, Resulting Numbers: [16, 77, 31]
Generated Node #2: [16, 77, 31] from Operation: 32-1=31
Current State: 92:[16, 77, 31], Operations: ['32-1=31']
Exploring Operation: 77-16=61, Resulting Numbers: [31, 61]
Generated Node #3: [31, 61] from Operation: 77-16=61
Current State: 92:[31, 61], Operations: ['32-1=31', '77-16=61']
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[1, 32, 16, 77], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [1, 16, 45]
Generated Node #0,0: 92:[1, 16, 45] Operation: 77-32=45
Moving to Node #0,0
Current State: 92:[1, 16, 45], Operations: ['77-32=45']
Exploring Operation: 1+16=17, Resulting Numbers: [45, 17]
Generated Node #0,0,0: 92:[45, 17] Operation: 1+16=17
Moving to Node #0,0,0
Current State: 92:[45, 17], Operations: ['77-32=45', '1+16=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,92 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
94,
82,
31
] | 20 | [
"94+82=176",
"176/16=11",
"31-11=20"
] | Current State: 20:[16, 94, 82, 31], Operations: []
Exploring Operation: 94+82=176, Resulting Numbers: [16, 31, 176]
Generated Node #2: [16, 31, 176] from Operation: 94+82=176
Current State: 20:[16, 31, 176], Operations: ['94+82=176']
Exploring Operation: 176/16=11, Resulting Numbers: [31, 11]
Generated Node #3: [31, 11] from Operation: 176/16=11
Current State: 20:[31, 11], Operations: ['94+82=176', '176/16=11']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[16, 94, 82, 31], Operations: []
Exploring Operation: 82-31=51, Resulting Numbers: [16, 94, 51]
Generated Node #0,0: 20:[16, 94, 51] Operation: 82-31=51
Exploring Operation: 94-82=12, Resulting Numbers: [16, 31, 12]
Generated Node #0,1: 20:[16, 31, 12] Operation: 94-82=12
Exploring Operation: 82-16=66, Resulting Numbers: [94, 31, 66]
Generated Node #0,2: 20:[94, 31, 66] Operation: 82-16=66
Exploring Operation: 94-31=63, Resulting Numbers: [16, 82, 63]
Generated Node #0,3: 20:[16, 82, 63] Operation: 94-31=63
Exploring Operation: 94-16=78, Resulting Numbers: [82, 31, 78]
Generated Node #0,4: 20:[82, 31, 78] Operation: 94-16=78
Moving to Node #0,1
Current State: 20:[16, 31, 12], Operations: ['94-82=12']
Exploring Operation: 31-16=15, Resulting Numbers: [12, 15]
Generated Node #0,1,0: 20:[12, 15] Operation: 31-16=15
Exploring Operation: 16-12=4, Resulting Numbers: [31, 4]
Generated Node #0,1,1: 20:[31, 4] Operation: 16-12=4
Exploring Operation: 31-12=19, Resulting Numbers: [16, 19]
Generated Node #0,1,2: 20:[16, 19] Operation: 31-12=19
Exploring Operation: 31+12=43, Resulting Numbers: [16, 43]
Generated Node #0,1,3: 20:[16, 43] Operation: 31+12=43
Exploring Operation: 16+12=28, Resulting Numbers: [31, 28]
Generated Node #0,1,4: 20:[31, 28] Operation: 16+12=28
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 20:[16, 19], Operations: ['94-82=12', '31-12=19']
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,20 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[12, 15], Operations: ['94-82=12', '31-16=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,20 unequal: No Solution
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,20 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[31, 4], Operations: ['94-82=12', '16-12=4']
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,20 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 20:[31, 28], Operations: ['94-82=12', '16+12=28']
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,20 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 20:[16, 43], Operations: ['94-82=12', '31+12=43']
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 16*43=688, Resulting Numbers: [688]
688,20 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,20 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: 20:[16, 82, 63], Operations: ['94-31=63']
Exploring Operation: 63-16=47, Resulting Numbers: [82, 47]
Generated Node #0,3,0: 20:[82, 47] Operation: 63-16=47
Exploring Operation: 82-16=66, Resulting Numbers: [63, 66]
Generated Node #0,3,1: 20:[63, 66] Operation: 82-16=66
Exploring Operation: 16+82=98, Resulting Numbers: [63, 98]
Generated Node #0,3,2: 20:[63, 98] Operation: 16+82=98
Exploring Operation: 16+63=79, Resulting Numbers: [82, 79]
Generated Node #0,3,3: 20:[82, 79] Operation: 16+63=79
Exploring Operation: 82-63=19, Resulting Numbers: [16, 19]
Generated Node #0,3,4: 20:[16, 19] Operation: 82-63=19
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 20:[16, 19], Operations: ['94-31=63', '82-63=19']
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,20 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 20:[82, 47], Operations: ['94-31=63', '63-16=47']
Exploring Operation: 82*47=3854, Resulting Numbers: [3854]
3854,20 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 20:[63, 66], Operations: ['94-31=63', '82-16=66']
Exploring Operation: 63*66=4158, Resulting Numbers: [4158]
4158,20 unequal: No Solution
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 63+66=129, Resulting Numbers: [129]
129,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 20:[63, 98], Operations: ['94-31=63', '16+82=98']
Exploring Operation: 63*98=6174, Resulting Numbers: [6174]
6174,20 unequal: No Solution
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 63+98=161, Resulting Numbers: [161]
161,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 20:[82, 79], Operations: ['94-31=63', '16+63=79']
Exploring Operation: 82*79=6478, Resulting Numbers: [6478]
6478,20 unequal: No Solution
Exploring Operation: 82-79=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 82+79=161, Resulting Numbers: [161]
161,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 20:[16, 94, 51], Operations: ['82-31=51']
Exploring Operation: 16+51=67, Resulting Numbers: [94, 67]
Generated Node #0,0,0: 20:[94, 67] Operation: 16+51=67
Exploring Operation: 51-16=35, Resulting Numbers: [94, 35]
Generated Node #0,0,1: 20:[94, 35] Operation: 51-16=35
Exploring Operation: 94-16=78, Resulting Numbers: [51, 78]
Generated Node #0,0,2: 20:[51, 78] Operation: 94-16=78
Exploring Operation: 16+94=110, Resulting Numbers: [51, 110]
Generated Node #0,0,3: 20:[51, 110] Operation: 16+94=110
Exploring Operation: 94-51=43, Resulting Numbers: [16, 43]
Generated Node #0,0,4: 20:[16, 43] Operation: 94-51=43
Moving to Node #0,2
Current State: 20:[94, 31, 66], Operations: ['82-16=66']
Exploring Operation: 94-31=63, Resulting Numbers: [66, 63]
Generated Node #0,2,0: 20:[66, 63] Operation: 94-31=63
Exploring Operation: 94-66=28, Resulting Numbers: [31, 28]
Generated Node #0,2,1: 20:[31, 28] Operation: 94-66=28
Exploring Operation: 66-31=35, Resulting Numbers: [94, 35]
Generated Node #0,2,2: 20:[94, 35] Operation: 66-31=35
Exploring Operation: 94+66=160, Resulting Numbers: [31, 160]
Generated Node #0,2,3: 20:[31, 160] Operation: 94+66=160
Exploring Operation: 94+31=125, Resulting Numbers: [66, 125]
Generated Node #0,2,4: 20:[66, 125] Operation: 94+31=125
Moving to Node #0,4
Current State: 20:[82, 31, 78], Operations: ['94-16=78']
Exploring Operation: 78-31=47, Resulting Numbers: [82, 47]
Generated Node #0,4,0: 20:[82, 47] Operation: 78-31=47
Exploring Operation: 82+31=113, Resulting Numbers: [78, 113]
Generated Node #0,4,1: 20:[78, 113] Operation: 82+31=113
Exploring Operation: 82-31=51, Resulting Numbers: [78, 51]
Generated Node #0,4,2: 20:[78, 51] Operation: 82-31=51
Exploring Operation: 82+78=160, Resulting Numbers: [31, 160]
Generated Node #0,4,3: 20:[31, 160] Operation: 82+78=160
Exploring Operation: 82-78=4, Resulting Numbers: [31, 4]
Generated Node #0,4,4: 20:[31, 4] Operation: 82-78=4
Moving to Node #0,4,4
Current State: 20:[31, 4], Operations: ['94-16=78', '82-78=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,20 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[31, 28], Operations: ['82-16=66', '94-66=28']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,20 unequal: No Solution
Moving to Node #0,0,4
Current State: 20:[16, 43], Operations: ['82-31=51', '94-51=43']
Exploring Operation: 16*43=688, Resulting Numbers: [688]
688,20 unequal: No Solution
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,20 unequal: No Solution
Moving to Node #0,2,0
Current State: 20:[66, 63], Operations: ['82-16=66', '94-31=63']
Exploring Operation: 66*63=4158, Resulting Numbers: [4158]
4158,20 unequal: No Solution
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 66+63=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[51, 78], Operations: ['82-31=51', '94-16=78']
Exploring Operation: 78-51=27, Resulting Numbers: [27]
27,20 unequal: No Solution
Exploring Operation: 51*78=3978, Resulting Numbers: [3978]
3978,20 unequal: No Solution
Exploring Operation: 51+78=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Moving to Node #0,4,0
Current State: 20:[82, 47], Operations: ['94-16=78', '78-31=47']
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 82*47=3854, Resulting Numbers: [3854]
3854,20 unequal: No Solution
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Moving to Node #0,4,2
Current State: 20:[78, 51], Operations: ['94-16=78', '82-31=51']
Exploring Operation: 78-51=27, Resulting Numbers: [27]
27,20 unequal: No Solution
Exploring Operation: 78+51=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Exploring Operation: 78*51=3978, Resulting Numbers: [3978]
3978,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[94, 35], Operations: ['82-31=51', '51-16=35']
Exploring Operation: 94+35=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Exploring Operation: 94*35=3290, Resulting Numbers: [3290]
3290,20 unequal: No Solution
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[94, 35], Operations: ['82-16=66', '66-31=35']
Exploring Operation: 94*35=3290, Resulting Numbers: [3290]
3290,20 unequal: No Solution
Exploring Operation: 94+35=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[51, 110], Operations: ['82-31=51', '16+94=110']
Exploring Operation: 51*110=5610, Resulting Numbers: [5610]
5610,20 unequal: No Solution
Exploring Operation: 110-51=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 51+110=161, Resulting Numbers: [161]
161,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[94, 67], Operations: ['82-31=51', '16+51=67']
Exploring Operation: 94*67=6298, Resulting Numbers: [6298]
6298,20 unequal: No Solution
Exploring Operation: 94+67=161, Resulting Numbers: [161]
161,20 unequal: No Solution
Exploring Operation: 94-67=27, Resulting Numbers: [27]
27,20 unequal: No Solution
Moving to Node #0,4,1
Current State: 20:[78, 113], Operations: ['94-16=78', '82+31=113']
Exploring Operation: 78+113=191, Resulting Numbers: [191]
191,20 unequal: No Solution
Exploring Operation: 113-78=35, Resulting Numbers: [35]
35,20 unequal: No Solution
Exploring Operation: 78*113=8814, Resulting Numbers: [8814]
8814,20 unequal: No Solution
Moving to Node #0,4,3
Current State: 20:[31, 160], Operations: ['94-16=78', '82+78=160']
Exploring Operation: 31+160=191, Resulting Numbers: [191]
191,20 unequal: No Solution
Exploring Operation: 160-31=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Exploring Operation: 31*160=4960, Resulting Numbers: [4960]
4960,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[31, 160], Operations: ['82-16=66', '94+66=160']
Exploring Operation: 31+160=191, Resulting Numbers: [191]
191,20 unequal: No Solution
Exploring Operation: 31*160=4960, Resulting Numbers: [4960]
4960,20 unequal: No Solution
Exploring Operation: 160-31=129, Resulting Numbers: [129]
129,20 unequal: No Solution
Moving to Node #0,2,4
Current State: 20:[66, 125], Operations: ['82-16=66', '94+31=125']
Exploring Operation: 66+125=191, Resulting Numbers: [191]
191,20 unequal: No Solution
Exploring Operation: 125-66=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 66*125=8250, Resulting Numbers: [8250]
8250,20 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
77,
43,
56,
11
] | 20 | [
"77/11=7",
"56-43=13",
"7+13=20"
] | Current State: 20:[77, 43, 56, 11], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [43, 56, 7]
Generated Node #2: [43, 56, 7] from Operation: 77/11=7
Current State: 20:[43, 56, 7], Operations: ['77/11=7']
Exploring Operation: 56-43=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 56-43=13
Current State: 20:[7, 13], Operations: ['77/11=7', '56-43=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[77, 43, 56, 11], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [77, 11, 13]
Generated Node #0,0: 20:[77, 11, 13] Operation: 56-43=13
Exploring Operation: 77-43=34, Resulting Numbers: [56, 11, 34]
Generated Node #0,1: 20:[56, 11, 34] Operation: 77-43=34
Exploring Operation: 77-56=21, Resulting Numbers: [43, 11, 21]
Generated Node #0,2: 20:[43, 11, 21] Operation: 77-56=21
Exploring Operation: 77/11=7, Resulting Numbers: [43, 56, 7]
Generated Node #0,3: 20:[43, 56, 7] Operation: 77/11=7
Moving to Node #0,2
Current State: 20:[43, 11, 21], Operations: ['77-56=21']
Exploring Operation: 21-11=10, Resulting Numbers: [43, 10]
Generated Node #0,2,0: 20:[43, 10] Operation: 21-11=10
Exploring Operation: 43-11=32, Resulting Numbers: [21, 32]
Generated Node #0,2,1: 20:[21, 32] Operation: 43-11=32
Exploring Operation: 43-21=22, Resulting Numbers: [11, 22]
Generated Node #0,2,2: 20:[11, 22] Operation: 43-21=22
Exploring Operation: 43+11=54, Resulting Numbers: [21, 54]
Generated Node #0,2,3: 20:[21, 54] Operation: 43+11=54
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[11, 22], Operations: ['77-56=21', '43-21=22']
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,20 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,20 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[21, 32], Operations: ['77-56=21', '43-11=32']
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,20 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 20:[43, 10], Operations: ['77-56=21', '21-11=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,20 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,20 unequal: No Solution
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 20:[21, 54], Operations: ['77-56=21', '43+11=54']
Exploring Operation: 21+54=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 21*54=1134, Resulting Numbers: [1134]
1134,20 unequal: No Solution
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 20:[56, 11, 34], Operations: ['77-43=34']
Exploring Operation: 34-11=23, Resulting Numbers: [56, 23]
Generated Node #0,1,0: 20:[56, 23] Operation: 34-11=23
Exploring Operation: 56-11=45, Resulting Numbers: [34, 45]
Generated Node #0,1,1: 20:[34, 45] Operation: 56-11=45
Exploring Operation: 56+11=67, Resulting Numbers: [34, 67]
Generated Node #0,1,2: 20:[34, 67] Operation: 56+11=67
Exploring Operation: 56-34=22, Resulting Numbers: [11, 22]
Generated Node #0,1,3: 20:[11, 22] Operation: 56-34=22
Moving to Node #0,3
Current State: 20:[43, 56, 7], Operations: ['77/11=7']
Exploring Operation: 43-7=36, Resulting Numbers: [56, 36]
Generated Node #0,3,0: 20:[56, 36] Operation: 43-7=36
Exploring Operation: 56/7=8, Resulting Numbers: [43, 8]
Generated Node #0,3,1: 20:[43, 8] Operation: 56/7=8
Exploring Operation: 56-7=49, Resulting Numbers: [43, 49]
Generated Node #0,3,2: 20:[43, 49] Operation: 56-7=49
Exploring Operation: 56-43=13, Resulting Numbers: [7, 13]
Generated Node #0,3,3: 20:[7, 13] Operation: 56-43=13
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 20:[7, 13], Operations: ['77/11=7', '56-43=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[77, 43, 56, 11], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [43, 56, 7]
Generated Node #0,3: 20:[43, 56, 7] Operation: 77/11=7
Moving to Node #0,3
Current State: 20:[43, 56, 7], Operations: ['77/11=7']
Exploring Operation: 56-43=13, Resulting Numbers: [7, 13]
Generated Node #0,3,3: 20:[7, 13] Operation: 56-43=13
Moving to Node #0,3,3
Current State: 20:[7, 13], Operations: ['77/11=7', '56-43=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
81,
89,
44,
54
] | 80 | [
"89-81=8",
"54-44=10",
"8*10=80"
] | Current State: 80:[81, 89, 44, 54], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [44, 54, 8]
Generated Node #2: [44, 54, 8] from Operation: 89-81=8
Current State: 80:[44, 54, 8], Operations: ['89-81=8']
Exploring Operation: 54-44=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 54-44=10
Current State: 80:[8, 10], Operations: ['89-81=8', '54-44=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[81, 89, 44, 54], Operations: []
Exploring Operation: 89-54=35, Resulting Numbers: [81, 44, 35]
Generated Node #0,0: 80:[81, 44, 35] Operation: 89-54=35
Moving to Node #0,0
Current State: 80:[81, 44, 35], Operations: ['89-54=35']
Exploring Operation: 44+35=79, Resulting Numbers: [81, 79]
Generated Node #0,0,0: 80:[81, 79] Operation: 44+35=79
Moving to Node #0,0,0
Current State: 80:[81, 79], Operations: ['89-54=35', '44+35=79']
Exploring Operation: 81-79=2, Resulting Numbers: [2]
2,80 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
89,
73,
29,
2
] | 52 | [
"89+73=162",
"162/2=81",
"81-29=52"
] | Current State: 52:[89, 73, 29, 2], Operations: []
Exploring Operation: 89+73=162, Resulting Numbers: [29, 2, 162]
Generated Node #2: [29, 2, 162] from Operation: 89+73=162
Current State: 52:[29, 2, 162], Operations: ['89+73=162']
Exploring Operation: 162/2=81, Resulting Numbers: [29, 81]
Generated Node #3: [29, 81] from Operation: 162/2=81
Current State: 52:[29, 81], Operations: ['89+73=162', '162/2=81']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[89, 73, 29, 2], Operations: []
Exploring Operation: 89-73=16, Resulting Numbers: [29, 2, 16]
Generated Node #0,0: 52:[29, 2, 16] Operation: 89-73=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[29, 2, 16], Operations: ['89-73=16']
Exploring Operation: 29-16=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 52:[2, 13] Operation: 29-16=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[2, 13], Operations: ['89-73=16', '29-16=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
43,
8,
40
] | 39 | [
"43-40=3",
"8*3=24",
"15+24=39"
] | Current State: 39:[15, 43, 8, 40], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [15, 8, 3]
Generated Node #2: [15, 8, 3] from Operation: 43-40=3
Current State: 39:[15, 8, 3], Operations: ['43-40=3']
Exploring Operation: 8*3=24, Resulting Numbers: [15, 24]
Generated Node #3: [15, 24] from Operation: 8*3=24
Current State: 39:[15, 24], Operations: ['43-40=3', '8*3=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[15, 43, 8, 40], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [15, 43, 5]
Generated Node #0,0: 39:[15, 43, 5] Operation: 40/8=5
Exploring Operation: 43-40=3, Resulting Numbers: [15, 8, 3]
Generated Node #0,1: 39:[15, 8, 3] Operation: 43-40=3
Exploring Operation: 43-8=35, Resulting Numbers: [15, 40, 35]
Generated Node #0,2: 39:[15, 40, 35] Operation: 43-8=35
Moving to Node #0,1
Current State: 39:[15, 8, 3], Operations: ['43-40=3']
Exploring Operation: 8-3=5, Resulting Numbers: [15, 5]
Generated Node #0,1,0: 39:[15, 5] Operation: 8-3=5
Exploring Operation: 15-8=7, Resulting Numbers: [3, 7]
Generated Node #0,1,1: 39:[3, 7] Operation: 15-8=7
Exploring Operation: 8+3=11, Resulting Numbers: [15, 11]
Generated Node #0,1,2: 39:[15, 11] Operation: 8+3=11
Moving to Node #0,2
Current State: 39:[15, 40, 35], Operations: ['43-8=35']
Exploring Operation: 40-35=5, Resulting Numbers: [15, 5]
Generated Node #0,2,0: 39:[15, 5] Operation: 40-35=5
Exploring Operation: 35-15=20, Resulting Numbers: [40, 20]
Generated Node #0,2,1: 39:[40, 20] Operation: 35-15=20
Exploring Operation: 15+35=50, Resulting Numbers: [40, 50]
Generated Node #0,2,2: 39:[40, 50] Operation: 15+35=50
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[15, 5], Operations: ['43-8=35', '40-35=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[40, 20], Operations: ['43-8=35', '35-15=20']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 40+20=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[40, 50], Operations: ['43-8=35', '15+35=50']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,39 unequal: No Solution
Exploring Operation: 40*50=2000, Resulting Numbers: [2000]
2000,39 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: 39:[15, 43, 5], Operations: ['40/8=5']
Exploring Operation: 15/5=3, Resulting Numbers: [43, 3]
Generated Node #0,0,0: 39:[43, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [43, 10]
Generated Node #0,0,1: 39:[43, 10] Operation: 15-5=10
Exploring Operation: 43-5=38, Resulting Numbers: [15, 38]
Generated Node #0,0,2: 39:[15, 38] Operation: 43-5=38
Moving to Node #0,0,2
Current State: 39:[15, 38], Operations: ['40/8=5', '43-5=38']
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,39 unequal: No Solution
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[15, 11], Operations: ['43-40=3', '8+3=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,39 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[15, 5], Operations: ['43-40=3', '8-3=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[3, 7], Operations: ['43-40=3', '15-8=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[43, 3], Operations: ['40/8=5', '15/5=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,39 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[43, 10], Operations: ['40/8=5', '15-5=10']
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,39 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,39 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,39 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
3,
48,
80,
44
] | 81 | [
"48-3=45",
"80-44=36",
"45+36=81"
] | Current State: 81:[3, 48, 80, 44], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [80, 44, 45]
Generated Node #2: [80, 44, 45] from Operation: 48-3=45
Current State: 81:[80, 44, 45], Operations: ['48-3=45']
Exploring Operation: 80-44=36, Resulting Numbers: [45, 36]
Generated Node #3: [45, 36] from Operation: 80-44=36
Current State: 81:[45, 36], Operations: ['48-3=45', '80-44=36']
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[3, 48, 80, 44], Operations: []
Exploring Operation: 80-48=32, Resulting Numbers: [3, 44, 32]
Generated Node #0,0: 81:[3, 44, 32] Operation: 80-48=32
Exploring Operation: 48-44=4, Resulting Numbers: [3, 80, 4]
Generated Node #0,1: 81:[3, 80, 4] Operation: 48-44=4
Exploring Operation: 48+44=92, Resulting Numbers: [3, 80, 92]
Generated Node #0,2: 81:[3, 80, 92] Operation: 48+44=92
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[3, 80, 4], Operations: ['48-44=4']
Exploring Operation: 4-3=1, Resulting Numbers: [80, 1]
Generated Node #0,1,0: 81:[80, 1] Operation: 4-3=1
Exploring Operation: 3+80=83, Resulting Numbers: [4, 83]
Generated Node #0,1,1: 81:[4, 83] Operation: 3+80=83
Exploring Operation: 3+4=7, Resulting Numbers: [80, 7]
Generated Node #0,1,2: 81:[80, 7] Operation: 3+4=7
Moving to Node #0,1,0
Current State: 81:[80, 1], Operations: ['48-44=4', '4-3=1']
Exploring Operation: 80/1=80, Resulting Numbers: [80]
80,81 unequal: No Solution
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:[3, 48, 80, 44], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [3, 80, 4]
Generated Node #0,1: 81:[3, 80, 4] Operation: 48-44=4
Moving to Node #0,1
Current State: 81:[3, 80, 4], Operations: ['48-44=4']
Exploring Operation: 4-3=1, Resulting Numbers: [80, 1]
Generated Node #0,1,0: 81:[80, 1] Operation: 4-3=1
Moving to Node #0,1,0
Current State: 81:[80, 1], Operations: ['48-44=4', '4-3=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
80,
18,
83,
96
] | 50 | [
"83-80=3",
"96/3=32",
"18+32=50"
] | Current State: 50:[80, 18, 83, 96], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [18, 96, 3]
Generated Node #2: [18, 96, 3] from Operation: 83-80=3
Current State: 50:[18, 96, 3], Operations: ['83-80=3']
Exploring Operation: 96/3=32, Resulting Numbers: [18, 32]
Generated Node #3: [18, 32] from Operation: 96/3=32
Current State: 50:[18, 32], Operations: ['83-80=3', '96/3=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[80, 18, 83, 96], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [83, 96, 62]
Generated Node #0,0: 50:[83, 96, 62] Operation: 80-18=62
Exploring Operation: 96-83=13, Resulting Numbers: [80, 18, 13]
Generated Node #0,1: 50:[80, 18, 13] Operation: 96-83=13
Exploring Operation: 83-80=3, Resulting Numbers: [18, 96, 3]
Generated Node #0,2: 50:[18, 96, 3] Operation: 83-80=3
Exploring Operation: 96-80=16, Resulting Numbers: [18, 83, 16]
Generated Node #0,3: 50:[18, 83, 16] Operation: 96-80=16
Moving to Node #0,1
Current State: 50:[80, 18, 13], Operations: ['96-83=13']
Exploring Operation: 80-13=67, Resulting Numbers: [18, 67]
Generated Node #0,1,0: 50:[18, 67] Operation: 80-13=67
Exploring Operation: 80-18=62, Resulting Numbers: [13, 62]
Generated Node #0,1,1: 50:[13, 62] Operation: 80-18=62
Exploring Operation: 18+13=31, Resulting Numbers: [80, 31]
Generated Node #0,1,2: 50:[80, 31] Operation: 18+13=31
Exploring Operation: 18-13=5, Resulting Numbers: [80, 5]
Generated Node #0,1,3: 50:[80, 5] Operation: 18-13=5
Moving to Node #0,3
Current State: 50:[18, 83, 16], Operations: ['96-80=16']
Exploring Operation: 18+16=34, Resulting Numbers: [83, 34]
Generated Node #0,3,0: 50:[83, 34] Operation: 18+16=34
Exploring Operation: 18-16=2, Resulting Numbers: [83, 2]
Generated Node #0,3,1: 50:[83, 2] Operation: 18-16=2
Exploring Operation: 83-16=67, Resulting Numbers: [18, 67]
Generated Node #0,3,2: 50:[18, 67] Operation: 83-16=67
Exploring Operation: 83-18=65, Resulting Numbers: [16, 65]
Generated Node #0,3,3: 50:[16, 65] Operation: 83-18=65
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 50:[16, 65], Operations: ['96-80=16', '83-18=65']
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 16*65=1040, Resulting Numbers: [1040]
1040,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 50:[18, 67], Operations: ['96-80=16', '83-16=67']
Exploring Operation: 18*67=1206, Resulting Numbers: [1206]
1206,50 unequal: No Solution
Exploring Operation: 18+67=85, Resulting Numbers: [85]
85,50 unequal: No Solution
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 50:[83, 2], Operations: ['96-80=16', '18-16=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,50 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 50:[83, 34], Operations: ['96-80=16', '18+16=34']
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 83+34=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 83*34=2822, Resulting Numbers: [2822]
2822,50 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: 50:[18, 96, 3], Operations: ['83-80=3']
Exploring Operation: 96-18=78, Resulting Numbers: [3, 78]
Generated Node #0,2,0: 50:[3, 78] Operation: 96-18=78
Exploring Operation: 18/3=6, Resulting Numbers: [96, 6]
Generated Node #0,2,1: 50:[96, 6] Operation: 18/3=6
Exploring Operation: 96/3=32, Resulting Numbers: [18, 32]
Generated Node #0,2,2: 50:[18, 32] Operation: 96/3=32
Exploring Operation: 18+3=21, Resulting Numbers: [96, 21]
Generated Node #0,2,3: 50:[96, 21] Operation: 18+3=21
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[18, 32], Operations: ['83-80=3', '96/3=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[80, 18, 83, 96], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [18, 96, 3]
Generated Node #0,2: 50:[18, 96, 3] Operation: 83-80=3
Moving to Node #0,2
Current State: 50:[18, 96, 3], Operations: ['83-80=3']
Exploring Operation: 96/3=32, Resulting Numbers: [18, 32]
Generated Node #0,2,2: 50:[18, 32] Operation: 96/3=32
Moving to Node #0,2,2
Current State: 50:[18, 32], Operations: ['83-80=3', '96/3=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
61,
32,
73,
58
] | 14 | [
"61-32=29",
"73-58=15",
"29-15=14"
] | Current State: 14:[61, 32, 73, 58], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [73, 58, 29]
Generated Node #2: [73, 58, 29] from Operation: 61-32=29
Current State: 14:[73, 58, 29], Operations: ['61-32=29']
Exploring Operation: 73-58=15, Resulting Numbers: [29, 15]
Generated Node #3: [29, 15] from Operation: 73-58=15
Current State: 14:[29, 15], Operations: ['61-32=29', '73-58=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[61, 32, 73, 58], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [61, 32, 15]
Generated Node #0,0: 14:[61, 32, 15] Operation: 73-58=15
Exploring Operation: 61-58=3, Resulting Numbers: [32, 73, 3]
Generated Node #0,1: 14:[32, 73, 3] Operation: 61-58=3
Exploring Operation: 73-32=41, Resulting Numbers: [61, 58, 41]
Generated Node #0,2: 14:[61, 58, 41] Operation: 73-32=41
Exploring Operation: 73-61=12, Resulting Numbers: [32, 58, 12]
Generated Node #0,3: 14:[32, 58, 12] Operation: 73-61=12
Exploring Operation: 61-32=29, Resulting Numbers: [73, 58, 29]
Generated Node #0,4: 14:[73, 58, 29] Operation: 61-32=29
Moving to Node #0,3
Current State: 14:[32, 58, 12], Operations: ['73-61=12']
Exploring Operation: 58-12=46, Resulting Numbers: [32, 46]
Generated Node #0,3,0: 14:[32, 46] Operation: 58-12=46
Exploring Operation: 32-12=20, Resulting Numbers: [58, 20]
Generated Node #0,3,1: 14:[58, 20] Operation: 32-12=20
Exploring Operation: 58+12=70, Resulting Numbers: [32, 70]
Generated Node #0,3,2: 14:[32, 70] Operation: 58+12=70
Exploring Operation: 32+12=44, Resulting Numbers: [58, 44]
Generated Node #0,3,3: 14:[58, 44] Operation: 32+12=44
Exploring Operation: 58-32=26, Resulting Numbers: [12, 26]
Generated Node #0,3,4: 14:[12, 26] Operation: 58-32=26
Moving to Node #0,0
Current State: 14:[61, 32, 15], Operations: ['73-58=15']
Exploring Operation: 61-32=29, Resulting Numbers: [15, 29]
Generated Node #0,0,0: 14:[15, 29] Operation: 61-32=29
Exploring Operation: 61+32=93, Resulting Numbers: [15, 93]
Generated Node #0,0,1: 14:[15, 93] Operation: 61+32=93
Exploring Operation: 61+15=76, Resulting Numbers: [32, 76]
Generated Node #0,0,2: 14:[32, 76] Operation: 61+15=76
Exploring Operation: 32-15=17, Resulting Numbers: [61, 17]
Generated Node #0,0,3: 14:[61, 17] Operation: 32-15=17
Exploring Operation: 61-15=46, Resulting Numbers: [32, 46]
Generated Node #0,0,4: 14:[32, 46] Operation: 61-15=46
Moving to Node #0,1
Current State: 14:[32, 73, 3], Operations: ['61-58=3']
Exploring Operation: 73-3=70, Resulting Numbers: [32, 70]
Generated Node #0,1,0: 14:[32, 70] Operation: 73-3=70
Exploring Operation: 32-3=29, Resulting Numbers: [73, 29]
Generated Node #0,1,1: 14:[73, 29] Operation: 32-3=29
Exploring Operation: 73+3=76, Resulting Numbers: [32, 76]
Generated Node #0,1,2: 14:[32, 76] Operation: 73+3=76
Exploring Operation: 73-32=41, Resulting Numbers: [3, 41]
Generated Node #0,1,3: 14:[3, 41] Operation: 73-32=41
Exploring Operation: 32+3=35, Resulting Numbers: [73, 35]
Generated Node #0,1,4: 14:[73, 35] Operation: 32+3=35
Moving to Node #0,2
Current State: 14:[61, 58, 41], Operations: ['73-32=41']
Exploring Operation: 61+41=102, Resulting Numbers: [58, 102]
Generated Node #0,2,0: 14:[58, 102] Operation: 61+41=102
Exploring Operation: 61-58=3, Resulting Numbers: [41, 3]
Generated Node #0,2,1: 14:[41, 3] Operation: 61-58=3
Exploring Operation: 61+58=119, Resulting Numbers: [41, 119]
Generated Node #0,2,2: 14:[41, 119] Operation: 61+58=119
Exploring Operation: 61-41=20, Resulting Numbers: [58, 20]
Generated Node #0,2,3: 14:[58, 20] Operation: 61-41=20
Exploring Operation: 58-41=17, Resulting Numbers: [61, 17]
Generated Node #0,2,4: 14:[61, 17] Operation: 58-41=17
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[41, 3], Operations: ['73-32=41', '61-58=3']
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,14 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,14 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 #0,2,3
Current State: 14:[58, 20], Operations: ['73-32=41', '61-41=20']
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,14 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 #0,2,4
Current State: 14:[61, 17], Operations: ['73-32=41', '58-41=17']
Exploring Operation: 61+17=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Exploring Operation: 61*17=1037, Resulting Numbers: [1037]
1037,14 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 #0,2,0
Current State: 14:[58, 102], Operations: ['73-32=41', '61+41=102']
Exploring Operation: 102-58=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Exploring Operation: 58+102=160, Resulting Numbers: [160]
160,14 unequal: No Solution
Exploring Operation: 58*102=5916, Resulting Numbers: [5916]
5916,14 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 #0,2,2
Current State: 14:[41, 119], Operations: ['73-32=41', '61+58=119']
Exploring Operation: 119-41=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 41*119=4879, Resulting Numbers: [4879]
4879,14 unequal: No Solution
Exploring Operation: 41+119=160, Resulting Numbers: [160]
160,14 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: 14:[73, 58, 29], Operations: ['61-32=29']
Exploring Operation: 73+58=131, Resulting Numbers: [29, 131]
Generated Node #0,4,0: 14:[29, 131] Operation: 73+58=131
Exploring Operation: 73-29=44, Resulting Numbers: [58, 44]
Generated Node #0,4,1: 14:[58, 44] Operation: 73-29=44
Exploring Operation: 73-58=15, Resulting Numbers: [29, 15]
Generated Node #0,4,2: 14:[29, 15] Operation: 73-58=15
Exploring Operation: 58/29=2, Resulting Numbers: [73, 2]
Generated Node #0,4,3: 14:[73, 2] Operation: 58/29=2
Exploring Operation: 58-29=29, Resulting Numbers: [73, 29]
Generated Node #0,4,4: 14:[73, 29] Operation: 58-29=29
Moving to Node #0,3,4
Current State: 14:[12, 26], Operations: ['73-61=12', '58-32=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[61, 32, 73, 58], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [32, 58, 12]
Generated Node #0,3: 14:[32, 58, 12] Operation: 73-61=12
Moving to Node #0,3
Current State: 14:[32, 58, 12], Operations: ['73-61=12']
Exploring Operation: 58-32=26, Resulting Numbers: [12, 26]
Generated Node #0,3,4: 14:[12, 26] Operation: 58-32=26
Moving to Node #0,3,4
Current State: 14:[12, 26], Operations: ['73-61=12', '58-32=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 0.956597 | hs_5 | sum_heuristic |
[
18,
94,
99,
17
] | 67 | [
"99-94=5",
"17*5=85",
"85-18=67"
] | Current State: 67:[18, 94, 99, 17], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [18, 17, 5]
Generated Node #2: [18, 17, 5] from Operation: 99-94=5
Current State: 67:[18, 17, 5], Operations: ['99-94=5']
Exploring Operation: 17*5=85, Resulting Numbers: [18, 85]
Generated Node #3: [18, 85] from Operation: 17*5=85
Current State: 67:[18, 85], Operations: ['99-94=5', '17*5=85']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[18, 94, 99, 17], Operations: []
Exploring Operation: 99-18=81, Resulting Numbers: [94, 17, 81]
Generated Node #0,0: 67:[94, 17, 81] Operation: 99-18=81
Exploring Operation: 94-18=76, Resulting Numbers: [99, 17, 76]
Generated Node #0,1: 67:[99, 17, 76] Operation: 94-18=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[94, 17, 81], Operations: ['99-18=81']
Exploring Operation: 81-17=64, Resulting Numbers: [94, 64]
Generated Node #0,0,0: 67:[94, 64] Operation: 81-17=64
Exploring Operation: 94-17=77, Resulting Numbers: [81, 77]
Generated Node #0,0,1: 67:[81, 77] Operation: 94-17=77
Moving to Node #0,0,1
Current State: 67:[81, 77], Operations: ['99-18=81', '94-17=77']
Exploring Operation: 81-77=4, Resulting Numbers: [4]
4,67 unequal: No Solution
Exploring Operation: 81+77=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[94, 64], Operations: ['99-18=81', '81-17=64']
Exploring Operation: 94-64=30, Resulting Numbers: [30]
30,67 unequal: No Solution
Exploring Operation: 94+64=158, Resulting Numbers: [158]
158,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[99, 17, 76], Operations: ['94-18=76']
Exploring Operation: 99-17=82, Resulting Numbers: [76, 82]
Generated Node #0,1,0: 67:[76, 82] Operation: 99-17=82
Exploring Operation: 76-17=59, Resulting Numbers: [99, 59]
Generated Node #0,1,1: 67:[99, 59] Operation: 76-17=59
Moving to Node #0,1,0
Current State: 67:[76, 82], Operations: ['94-18=76', '99-17=82']
Exploring Operation: 76+82=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[99, 59], Operations: ['94-18=76', '76-17=59']
Exploring Operation: 99-59=40, Resulting Numbers: [40]
40,67 unequal: No Solution
Exploring Operation: 99+59=158, Resulting Numbers: [158]
158,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
54,
18,
66,
63
] | 12 | [
"54-18=36",
"66-63=3",
"36/3=12"
] | Current State: 12:[54, 18, 66, 63], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [66, 63, 36]
Generated Node #2: [66, 63, 36] from Operation: 54-18=36
Current State: 12:[66, 63, 36], Operations: ['54-18=36']
Exploring Operation: 66-63=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 66-63=3
Current State: 12:[36, 3], Operations: ['54-18=36', '66-63=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[54, 18, 66, 63], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [18, 63, 12]
Generated Node #0,0: 12:[18, 63, 12] Operation: 66-54=12
Exploring Operation: 66-63=3, Resulting Numbers: [54, 18, 3]
Generated Node #0,1: 12:[54, 18, 3] Operation: 66-63=3
Exploring Operation: 63-54=9, Resulting Numbers: [18, 66, 9]
Generated Node #0,2: 12:[18, 66, 9] Operation: 63-54=9
Exploring Operation: 54/18=3, Resulting Numbers: [66, 63, 3]
Generated Node #0,3: 12:[66, 63, 3] Operation: 54/18=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[54, 18, 3], Operations: ['66-63=3']
Exploring Operation: 54-18=36, Resulting Numbers: [3, 36]
Generated Node #0,1,0: 12:[3, 36] Operation: 54-18=36
Exploring Operation: 54/3=18, Resulting Numbers: [18, 18]
Generated Node #0,1,1: 12:[18, 18] Operation: 54/3=18
Exploring Operation: 18/3=6, Resulting Numbers: [54, 6]
Generated Node #0,1,2: 12:[54, 6] Operation: 18/3=6
Exploring Operation: 54/18=3, Resulting Numbers: [3, 3]
Generated Node #0,1,3: 12:[3, 3] Operation: 54/18=3
Moving to Node #0,1,3
Current State: 12:[3, 3], Operations: ['66-63=3', '54/18=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[18, 18], Operations: ['66-63=3', '54/3=18']
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,12 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,12 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[3, 36], Operations: ['66-63=3', '54-18=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[54, 18, 66, 63], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [54, 18, 3]
Generated Node #0,1: 12:[54, 18, 3] Operation: 66-63=3
Moving to Node #0,1
Current State: 12:[54, 18, 3], Operations: ['66-63=3']
Exploring Operation: 54-18=36, Resulting Numbers: [3, 36]
Generated Node #0,1,0: 12:[3, 36] Operation: 54-18=36
Moving to Node #0,1,0
Current State: 12:[3, 36], Operations: ['66-63=3', '54-18=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
68,
28,
32,
12
] | 63 | [
"28+32=60",
"60/12=5",
"68-5=63"
] | Current State: 63:[68, 28, 32, 12], Operations: []
Exploring Operation: 28+32=60, Resulting Numbers: [68, 12, 60]
Generated Node #2: [68, 12, 60] from Operation: 28+32=60
Current State: 63:[68, 12, 60], Operations: ['28+32=60']
Exploring Operation: 60/12=5, Resulting Numbers: [68, 5]
Generated Node #3: [68, 5] from Operation: 60/12=5
Current State: 63:[68, 5], Operations: ['28+32=60', '60/12=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[68, 28, 32, 12], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [68, 12, 4]
Generated Node #0,0: 63:[68, 12, 4] Operation: 32-28=4
Moving to Node #0,0
Current State: 63:[68, 12, 4], Operations: ['32-28=4']
Exploring Operation: 68-4=64, Resulting Numbers: [12, 64]
Generated Node #0,0,0: 63:[12, 64] Operation: 68-4=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[12, 64], Operations: ['32-28=4', '68-4=64']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
51,
31,
36,
45
] | 39 | [
"51*31=1581",
"36*45=1620",
"1620-1581=39"
] | Current State: 39:[51, 31, 36, 45], Operations: []
Exploring Operation: 51*31=1581, Resulting Numbers: [36, 45, 1581]
Generated Node #2: [36, 45, 1581] from Operation: 51*31=1581
Current State: 39:[36, 45, 1581], Operations: ['51*31=1581']
Exploring Operation: 36*45=1620, Resulting Numbers: [1581, 1620]
Generated Node #3: [1581, 1620] from Operation: 36*45=1620
Current State: 39:[1581, 1620], Operations: ['51*31=1581', '36*45=1620']
Exploring Operation: 1620-1581=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[51, 31, 36, 45], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [31, 36, 6]
Generated Node #0,0: 39:[31, 36, 6] Operation: 51-45=6
Moving to Node #0,0
Current State: 39:[31, 36, 6], Operations: ['51-45=6']
Exploring Operation: 36-31=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 39:[6, 5] Operation: 36-31=5
Moving to Node #0,0,0
Current State: 39:[6, 5], Operations: ['51-45=6', '36-31=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,39 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
96,
95,
28,
4
] | 98 | [
"28+4=32",
"96/32=3",
"95+3=98"
] | Current State: 98:[96, 95, 28, 4], Operations: []
Exploring Operation: 28+4=32, Resulting Numbers: [96, 95, 32]
Generated Node #2: [96, 95, 32] from Operation: 28+4=32
Current State: 98:[96, 95, 32], Operations: ['28+4=32']
Exploring Operation: 96/32=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 96/32=3
Current State: 98:[95, 3], Operations: ['28+4=32', '96/32=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[96, 95, 28, 4], Operations: []
Exploring Operation: 28-4=24, Resulting Numbers: [96, 95, 24]
Generated Node #0,0: 98:[96, 95, 24] Operation: 28-4=24
Exploring Operation: 28/4=7, Resulting Numbers: [96, 95, 7]
Generated Node #0,1: 98:[96, 95, 7] Operation: 28/4=7
Exploring Operation: 96-95=1, Resulting Numbers: [28, 4, 1]
Generated Node #0,2: 98:[28, 4, 1] Operation: 96-95=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[96, 95, 7], Operations: ['28/4=7']
Exploring Operation: 96+7=103, Resulting Numbers: [95, 103]
Generated Node #0,1,0: 98:[95, 103] Operation: 96+7=103
Exploring Operation: 95+7=102, Resulting Numbers: [96, 102]
Generated Node #0,1,1: 98:[96, 102] Operation: 95+7=102
Exploring Operation: 96-95=1, Resulting Numbers: [7, 1]
Generated Node #0,1,2: 98:[7, 1] Operation: 96-95=1
Moving to Node #0,1,2
Current State: 98:[7, 1], Operations: ['28/4=7', '96-95=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[96, 102], Operations: ['28/4=7', '95+7=102']
Exploring Operation: 96*102=9792, Resulting Numbers: [9792]
9792,98 unequal: No Solution
Exploring Operation: 96+102=198, Resulting Numbers: [198]
198,98 unequal: No Solution
Exploring Operation: 102-96=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[95, 103], Operations: ['28/4=7', '96+7=103']
Exploring Operation: 95+103=198, Resulting Numbers: [198]
198,98 unequal: No Solution
Exploring Operation: 95*103=9785, Resulting Numbers: [9785]
9785,98 unequal: No Solution
Exploring Operation: 103-95=8, Resulting Numbers: [8]
8,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[96, 95, 24], Operations: ['28-4=24']
Exploring Operation: 96/24=4, Resulting Numbers: [95, 4]
Generated Node #0,0,0: 98:[95, 4] Operation: 96/24=4
Exploring Operation: 95+24=119, Resulting Numbers: [96, 119]
Generated Node #0,0,1: 98:[96, 119] Operation: 95+24=119
Exploring Operation: 96-95=1, Resulting Numbers: [24, 1]
Generated Node #0,0,2: 98:[24, 1] Operation: 96-95=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[95, 4], Operations: ['28-4=24', '96/24=4']
Exploring Operation: 95*4=380, Resulting Numbers: [380]
380,98 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,98 unequal: No Solution
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[24, 1], Operations: ['28-4=24', '96-95=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[96, 119], Operations: ['28-4=24', '95+24=119']
Exploring Operation: 96*119=11424, Resulting Numbers: [11424]
11424,98 unequal: No Solution
Exploring Operation: 119-96=23, Resulting Numbers: [23]
23,98 unequal: No Solution
Exploring Operation: 96+119=215, Resulting Numbers: [215]
215,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[28, 4, 1], Operations: ['96-95=1']
Exploring Operation: 28*4=112, Resulting Numbers: [1, 112]
Generated Node #0,2,0: 98:[1, 112] Operation: 28*4=112
Exploring Operation: 28/4=7, Resulting Numbers: [1, 7]
Generated Node #0,2,1: 98:[1, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [1, 24]
Generated Node #0,2,2: 98:[1, 24] Operation: 28-4=24
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[1, 7], Operations: ['96-95=1', '28/4=7']
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 98:[1, 24], Operations: ['96-95=1', '28-4=24']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[1, 112], Operations: ['96-95=1', '28*4=112']
Exploring Operation: 1*112=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 112/1=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 112-1=111, Resulting Numbers: [111]
111,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
67,
80,
8,
94
] | 73 | [
"80-67=13",
"94-8=86",
"86-13=73"
] | Current State: 73:[67, 80, 8, 94], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [8, 94, 13]
Generated Node #2: [8, 94, 13] from Operation: 80-67=13
Current State: 73:[8, 94, 13], Operations: ['80-67=13']
Exploring Operation: 94-8=86, Resulting Numbers: [13, 86]
Generated Node #3: [13, 86] from Operation: 94-8=86
Current State: 73:[13, 86], Operations: ['80-67=13', '94-8=86']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[67, 80, 8, 94], Operations: []
Exploring Operation: 67-8=59, Resulting Numbers: [80, 94, 59]
Generated Node #0,0: 73:[80, 94, 59] Operation: 67-8=59
Exploring Operation: 94-8=86, Resulting Numbers: [67, 80, 86]
Generated Node #0,1: 73:[67, 80, 86] Operation: 94-8=86
Exploring Operation: 80-8=72, Resulting Numbers: [67, 94, 72]
Generated Node #0,2: 73:[67, 94, 72] Operation: 80-8=72
Exploring Operation: 67+8=75, Resulting Numbers: [80, 94, 75]
Generated Node #0,3: 73:[80, 94, 75] Operation: 67+8=75
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[67, 80, 86], Operations: ['94-8=86']
Exploring Operation: 86-80=6, Resulting Numbers: [67, 6]
Generated Node #0,1,0: 73:[67, 6] Operation: 86-80=6
Exploring Operation: 86-67=19, Resulting Numbers: [80, 19]
Generated Node #0,1,1: 73:[80, 19] Operation: 86-67=19
Exploring Operation: 80-67=13, Resulting Numbers: [86, 13]
Generated Node #0,1,2: 73:[86, 13] Operation: 80-67=13
Exploring Operation: 67+80=147, Resulting Numbers: [86, 147]
Generated Node #0,1,3: 73:[86, 147] Operation: 67+80=147
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[80, 19], Operations: ['94-8=86', '86-67=19']
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,73 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 80*19=1520, Resulting Numbers: [1520]
1520,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[67, 6], Operations: ['94-8=86', '86-80=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[67, 80, 8, 94], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [67, 80, 86]
Generated Node #0,1: 73:[67, 80, 86] Operation: 94-8=86
Moving to Node #0,1
Current State: 73:[67, 80, 86], Operations: ['94-8=86']
Exploring Operation: 86-80=6, Resulting Numbers: [67, 6]
Generated Node #0,1,0: 73:[67, 6] Operation: 86-80=6
Moving to Node #0,1,0
Current State: 73:[67, 6], Operations: ['94-8=86', '86-80=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
89,
93,
95,
1
] | 19 | [
"93-89=4",
"1+4=5",
"95/5=19"
] | Current State: 19:[89, 93, 95, 1], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [95, 1, 4]
Generated Node #2: [95, 1, 4] from Operation: 93-89=4
Current State: 19:[95, 1, 4], Operations: ['93-89=4']
Exploring Operation: 1+4=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 1+4=5
Current State: 19:[95, 5], Operations: ['93-89=4', '1+4=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[89, 93, 95, 1], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [89, 1, 2]
Generated Node #0,0: 19:[89, 1, 2] Operation: 95-93=2
Exploring Operation: 93-89=4, Resulting Numbers: [95, 1, 4]
Generated Node #0,1: 19:[95, 1, 4] Operation: 93-89=4
Exploring Operation: 89-1=88, Resulting Numbers: [93, 95, 88]
Generated Node #0,2: 19:[93, 95, 88] Operation: 89-1=88
Exploring Operation: 95-89=6, Resulting Numbers: [93, 1, 6]
Generated Node #0,3: 19:[93, 1, 6] Operation: 95-89=6
Moving to Node #0,0
Current State: 19:[89, 1, 2], Operations: ['95-93=2']
Exploring Operation: 89-1=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 19:[2, 88] Operation: 89-1=88
Exploring Operation: 89-2=87, Resulting Numbers: [1, 87]
Generated Node #0,0,1: 19:[1, 87] Operation: 89-2=87
Exploring Operation: 1+2=3, Resulting Numbers: [89, 3]
Generated Node #0,0,2: 19:[89, 3] Operation: 1+2=3
Exploring Operation: 89*1=89, Resulting Numbers: [2, 89]
Generated Node #0,0,3: 19:[2, 89] Operation: 89*1=89
Moving to Node #0,3
Current State: 19:[93, 1, 6], Operations: ['95-89=6']
Exploring Operation: 93*1=93, Resulting Numbers: [6, 93]
Generated Node #0,3,0: 19:[6, 93] Operation: 93*1=93
Exploring Operation: 93-6=87, Resulting Numbers: [1, 87]
Generated Node #0,3,1: 19:[1, 87] Operation: 93-6=87
Exploring Operation: 1+6=7, Resulting Numbers: [93, 7]
Generated Node #0,3,2: 19:[93, 7] Operation: 1+6=7
Exploring Operation: 93-1=92, Resulting Numbers: [6, 92]
Generated Node #0,3,3: 19:[6, 92] Operation: 93-1=92
Moving to Node #0,1
Current State: 19:[95, 1, 4], Operations: ['93-89=4']
Exploring Operation: 95*1=95, Resulting Numbers: [4, 95]
Generated Node #0,1,0: 19:[4, 95] Operation: 95*1=95
Exploring Operation: 95-1=94, Resulting Numbers: [4, 94]
Generated Node #0,1,1: 19:[4, 94] Operation: 95-1=94
Exploring Operation: 95-4=91, Resulting Numbers: [1, 91]
Generated Node #0,1,2: 19:[1, 91] Operation: 95-4=91
Exploring Operation: 1+4=5, Resulting Numbers: [95, 5]
Generated Node #0,1,3: 19:[95, 5] Operation: 1+4=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[4, 94], Operations: ['93-89=4', '95-1=94']
Exploring Operation: 4*94=376, Resulting Numbers: [376]
376,19 unequal: No Solution
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,19 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[1, 91], Operations: ['93-89=4', '95-4=91']
Exploring Operation: 1*91=91, Resulting Numbers: [91]
91,19 unequal: No Solution
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,19 unequal: No Solution
Exploring Operation: 1+91=92, Resulting Numbers: [92]
92,19 unequal: No Solution
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 19:[95, 5], Operations: ['93-89=4', '1+4=5']
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[89, 93, 95, 1], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [95, 1, 4]
Generated Node #0,1: 19:[95, 1, 4] Operation: 93-89=4
Moving to Node #0,1
Current State: 19:[95, 1, 4], Operations: ['93-89=4']
Exploring Operation: 1+4=5, Resulting Numbers: [95, 5]
Generated Node #0,1,3: 19:[95, 5] Operation: 1+4=5
Moving to Node #0,1,3
Current State: 19:[95, 5], Operations: ['93-89=4', '1+4=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
62,
1,
65,
56
] | 59 | [
"62*1=62",
"65+56=121",
"121-62=59"
] | Current State: 59:[62, 1, 65, 56], Operations: []
Exploring Operation: 62*1=62, Resulting Numbers: [65, 56, 62]
Generated Node #2: [65, 56, 62] from Operation: 62*1=62
Current State: 59:[65, 56, 62], Operations: ['62*1=62']
Exploring Operation: 65+56=121, Resulting Numbers: [62, 121]
Generated Node #3: [62, 121] from Operation: 65+56=121
Current State: 59:[62, 121], Operations: ['62*1=62', '65+56=121']
Exploring Operation: 121-62=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[62, 1, 65, 56], Operations: []
Exploring Operation: 62-1=61, Resulting Numbers: [65, 56, 61]
Generated Node #0,0: 59:[65, 56, 61] Operation: 62-1=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[65, 56, 61], Operations: ['62-1=61']
Exploring Operation: 65-56=9, Resulting Numbers: [61, 9]
Generated Node #0,0,0: 59:[61, 9] Operation: 65-56=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[61, 9], Operations: ['62-1=61', '65-56=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,59 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 | mult_heuristic |
[
69,
58,
85,
80
] | 13 | [
"80-69=11",
"58+85=143",
"143/11=13"
] | Current State: 13:[69, 58, 85, 80], Operations: []
Exploring Operation: 80-69=11, Resulting Numbers: [58, 85, 11]
Generated Node #2: [58, 85, 11] from Operation: 80-69=11
Current State: 13:[58, 85, 11], Operations: ['80-69=11']
Exploring Operation: 58+85=143, Resulting Numbers: [11, 143]
Generated Node #3: [11, 143] from Operation: 58+85=143
Current State: 13:[11, 143], Operations: ['80-69=11', '58+85=143']
Exploring Operation: 143/11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[69, 58, 85, 80], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [69, 58, 5]
Generated Node #0,0: 13:[69, 58, 5] Operation: 85-80=5
Exploring Operation: 85-69=16, Resulting Numbers: [58, 80, 16]
Generated Node #0,1: 13:[58, 80, 16] Operation: 85-69=16
Moving to Node #0,0
Current State: 13:[69, 58, 5], Operations: ['85-80=5']
Exploring Operation: 69-5=64, Resulting Numbers: [58, 64]
Generated Node #0,0,0: 13:[58, 64] Operation: 69-5=64
Exploring Operation: 69-58=11, Resulting Numbers: [5, 11]
Generated Node #0,0,1: 13:[5, 11] Operation: 69-58=11
Moving to Node #0,1
Current State: 13:[58, 80, 16], Operations: ['85-69=16']
Exploring Operation: 80-58=22, Resulting Numbers: [16, 22]
Generated Node #0,1,0: 13:[16, 22] Operation: 80-58=22
Exploring Operation: 80/16=5, Resulting Numbers: [58, 5]
Generated Node #0,1,1: 13:[58, 5] Operation: 80/16=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[16, 22], Operations: ['85-69=16', '80-58=22']
Exploring Operation: 16+22=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[58, 5], Operations: ['85-69=16', '80/16=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,13 unequal: No Solution
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,13 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: 13:[5, 11], Operations: ['85-80=5', '69-58=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[58, 64], Operations: ['85-80=5', '69-5=64']
Exploring Operation: 58+64=122, Resulting Numbers: [122]
122,13 unequal: No Solution
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,13 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
63,
24,
96,
23
] | 29 | [
"96/24=4",
"23*4=92",
"92-63=29"
] | Current State: 29:[63, 24, 96, 23], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [63, 23, 4]
Generated Node #2: [63, 23, 4] from Operation: 96/24=4
Current State: 29:[63, 23, 4], Operations: ['96/24=4']
Exploring Operation: 23*4=92, Resulting Numbers: [63, 92]
Generated Node #3: [63, 92] from Operation: 23*4=92
Current State: 29:[63, 92], Operations: ['96/24=4', '23*4=92']
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[63, 24, 96, 23], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [24, 23, 33]
Generated Node #0,0: 29:[24, 23, 33] Operation: 96-63=33
Exploring Operation: 96/24=4, Resulting Numbers: [63, 23, 4]
Generated Node #0,1: 29:[63, 23, 4] Operation: 96/24=4
Exploring Operation: 63-24=39, Resulting Numbers: [96, 23, 39]
Generated Node #0,2: 29:[96, 23, 39] Operation: 63-24=39
Moving to Node #0,0
Current State: 29:[24, 23, 33], Operations: ['96-63=33']
Exploring Operation: 33-23=10, Resulting Numbers: [24, 10]
Generated Node #0,0,0: 29:[24, 10] Operation: 33-23=10
Exploring Operation: 24+23=47, Resulting Numbers: [33, 47]
Generated Node #0,0,1: 29:[33, 47] Operation: 24+23=47
Exploring Operation: 33-24=9, Resulting Numbers: [23, 9]
Generated Node #0,0,2: 29:[23, 9] Operation: 33-24=9
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[33, 47], Operations: ['96-63=33', '24+23=47']
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 33+47=80, Resulting Numbers: [80]
80,29 unequal: No Solution
Exploring Operation: 33*47=1551, Resulting Numbers: [1551]
1551,29 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 #0,0,0
Current State: 29:[24, 10], Operations: ['96-63=33', '33-23=10']
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,29 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 #0,0,2
Current State: 29:[23, 9], Operations: ['96-63=33', '33-24=9']
Exploring Operation: 23*9=207, Resulting Numbers: [207]
207,29 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 29:[63, 23, 4], Operations: ['96/24=4']
Exploring Operation: 63-23=40, Resulting Numbers: [4, 40]
Generated Node #0,1,0: 29:[4, 40] Operation: 63-23=40
Exploring Operation: 23+4=27, Resulting Numbers: [63, 27]
Generated Node #0,1,1: 29:[63, 27] Operation: 23+4=27
Exploring Operation: 63-4=59, Resulting Numbers: [23, 59]
Generated Node #0,1,2: 29:[23, 59] Operation: 63-4=59
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[4, 40], Operations: ['96/24=4', '63-23=40']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,29 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 #0,1,1
Current State: 29:[63, 27], Operations: ['96/24=4', '23+4=27']
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 63*27=1701, Resulting Numbers: [1701]
1701,29 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 #0,1,2
Current State: 29:[23, 59], Operations: ['96/24=4', '63-4=59']
Exploring Operation: 59-23=36, Resulting Numbers: [36]
36,29 unequal: No Solution
Exploring Operation: 23*59=1357, Resulting Numbers: [1357]
1357,29 unequal: No Solution
Exploring Operation: 23+59=82, Resulting Numbers: [82]
82,29 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: 29:[96, 23, 39], Operations: ['63-24=39']
Exploring Operation: 39-23=16, Resulting Numbers: [96, 16]
Generated Node #0,2,0: 29:[96, 16] Operation: 39-23=16
Exploring Operation: 96-39=57, Resulting Numbers: [23, 57]
Generated Node #0,2,1: 29:[23, 57] Operation: 96-39=57
Exploring Operation: 96-23=73, Resulting Numbers: [39, 73]
Generated Node #0,2,2: 29:[39, 73] Operation: 96-23=73
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[23, 57], Operations: ['63-24=39', '96-39=57']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,29 unequal: No Solution
Exploring Operation: 23+57=80, Resulting Numbers: [80]
80,29 unequal: No Solution
Exploring Operation: 23*57=1311, Resulting Numbers: [1311]
1311,29 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 #0,2,2
Current State: 29:[39, 73], Operations: ['63-24=39', '96-23=73']
Exploring Operation: 39*73=2847, Resulting Numbers: [2847]
2847,29 unequal: No Solution
Exploring Operation: 39+73=112, Resulting Numbers: [112]
112,29 unequal: No Solution
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[96, 16], Operations: ['63-24=39', '39-23=16']
Exploring Operation: 96/16=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,29 unequal: No Solution
Exploring Operation: 96+16=112, Resulting Numbers: [112]
112,29 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 |
[
71,
1,
97,
9
] | 21 | [
"71+97=168",
"9-1=8",
"168/8=21"
] | Current State: 21:[71, 1, 97, 9], Operations: []
Exploring Operation: 71+97=168, Resulting Numbers: [1, 9, 168]
Generated Node #2: [1, 9, 168] from Operation: 71+97=168
Current State: 21:[1, 9, 168], Operations: ['71+97=168']
Exploring Operation: 9-1=8, Resulting Numbers: [168, 8]
Generated Node #3: [168, 8] from Operation: 9-1=8
Current State: 21:[168, 8], Operations: ['71+97=168', '9-1=8']
Exploring Operation: 168/8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[71, 1, 97, 9], Operations: []
Exploring Operation: 97-9=88, Resulting Numbers: [71, 1, 88]
Generated Node #0,0: 21:[71, 1, 88] Operation: 97-9=88
Exploring Operation: 97-71=26, Resulting Numbers: [1, 9, 26]
Generated Node #0,1: 21:[1, 9, 26] Operation: 97-71=26
Exploring Operation: 71-9=62, Resulting Numbers: [1, 97, 62]
Generated Node #0,2: 21:[1, 97, 62] Operation: 71-9=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[1, 9, 26], Operations: ['97-71=26']
Exploring Operation: 26-9=17, Resulting Numbers: [1, 17]
Generated Node #0,1,0: 21:[1, 17] Operation: 26-9=17
Exploring Operation: 9-1=8, Resulting Numbers: [26, 8]
Generated Node #0,1,1: 21:[26, 8] Operation: 9-1=8
Exploring Operation: 26-1=25, Resulting Numbers: [9, 25]
Generated Node #0,1,2: 21:[9, 25] Operation: 26-1=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 21:[1, 17], Operations: ['97-71=26', '26-9=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,21 unequal: No Solution
No 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: 21:[26, 8], Operations: ['97-71=26', '9-1=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,21 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,21 unequal: No Solution
No 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: 21:[9, 25], Operations: ['97-71=26', '26-1=25']
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,21 unequal: No Solution
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,21 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: 21:[71, 1, 88], Operations: ['97-9=88']
Exploring Operation: 88-71=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 21:[1, 17] Operation: 88-71=17
Exploring Operation: 88-1=87, Resulting Numbers: [71, 87]
Generated Node #0,0,1: 21:[71, 87] Operation: 88-1=87
Exploring Operation: 71-1=70, Resulting Numbers: [88, 70]
Generated Node #0,0,2: 21:[88, 70] Operation: 71-1=70
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[1, 17], Operations: ['97-9=88', '88-71=17']
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,21 unequal: No Solution
No 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: 21:[71, 87], Operations: ['97-9=88', '88-1=87']
Exploring Operation: 71+87=158, Resulting Numbers: [158]
158,21 unequal: No Solution
Exploring Operation: 87-71=16, Resulting Numbers: [16]
16,21 unequal: No Solution
Exploring Operation: 71*87=6177, Resulting Numbers: [6177]
6177,21 unequal: No Solution
No 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: 21:[88, 70], Operations: ['97-9=88', '71-1=70']
Exploring Operation: 88*70=6160, Resulting Numbers: [6160]
6160,21 unequal: No Solution
Exploring Operation: 88+70=158, Resulting Numbers: [158]
158,21 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,21 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: 21:[1, 97, 62], Operations: ['71-9=62']
Exploring Operation: 97-62=35, Resulting Numbers: [1, 35]
Generated Node #0,2,0: 21:[1, 35] Operation: 97-62=35
Exploring Operation: 62-1=61, Resulting Numbers: [97, 61]
Generated Node #0,2,1: 21:[97, 61] Operation: 62-1=61
Exploring Operation: 97-1=96, Resulting Numbers: [62, 96]
Generated Node #0,2,2: 21:[62, 96] Operation: 97-1=96
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 21:[1, 35], Operations: ['71-9=62', '97-62=35']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,21 unequal: No Solution
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,21 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,21 unequal: No Solution
No 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: 21:[97, 61], Operations: ['71-9=62', '62-1=61']
Exploring Operation: 97+61=158, Resulting Numbers: [158]
158,21 unequal: No Solution
Exploring Operation: 97-61=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 97*61=5917, Resulting Numbers: [5917]
5917,21 unequal: No Solution
No 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: 21:[62, 96], Operations: ['71-9=62', '97-1=96']
Exploring Operation: 62+96=158, Resulting Numbers: [158]
158,21 unequal: No Solution
Exploring Operation: 96-62=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 62*96=5952, Resulting Numbers: [5952]
5952,21 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 |
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