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 |
|---|---|---|---|---|---|---|---|---|
[
66,
29,
13,
22
] | 11 | [
"29-13=16",
"22-16=6",
"66/6=11"
] | Current State: 11:[66, 29, 13, 22], Operations: []
Exploring Operation: 29-13=16, Resulting Numbers: [66, 22, 16]
Generated Node #2: [66, 22, 16] from Operation: 29-13=16
Current State: 11:[66, 22, 16], Operations: ['29-13=16']
Exploring Operation: 22-16=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 22-16=6
Current State: 11:[66, 6], Operations: ['29-13=16', '22-16=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[66, 29, 13, 22], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [29, 13, 3]
Generated Node #0,0: 11:[29, 13, 3] Operation: 66/22=3
Exploring Operation: 66-22=44, Resulting Numbers: [29, 13, 44]
Generated Node #0,1: 11:[29, 13, 44] Operation: 66-22=44
Exploring Operation: 29-22=7, Resulting Numbers: [66, 13, 7]
Generated Node #0,2: 11:[66, 13, 7] Operation: 29-22=7
Exploring Operation: 66-29=37, Resulting Numbers: [13, 22, 37]
Generated Node #0,3: 11:[13, 22, 37] Operation: 66-29=37
Exploring Operation: 66-13=53, Resulting Numbers: [29, 22, 53]
Generated Node #0,4: 11:[29, 22, 53] Operation: 66-13=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[29, 13, 3], Operations: ['66/22=3']
Exploring Operation: 13+3=16, Resulting Numbers: [29, 16]
Generated Node #0,0,0: 11:[29, 16] Operation: 13+3=16
Exploring Operation: 29-3=26, Resulting Numbers: [13, 26]
Generated Node #0,0,1: 11:[13, 26] Operation: 29-3=26
Exploring Operation: 29-13=16, Resulting Numbers: [3, 16]
Generated Node #0,0,2: 11:[3, 16] Operation: 29-13=16
Exploring Operation: 13-3=10, Resulting Numbers: [29, 10]
Generated Node #0,0,3: 11:[29, 10] Operation: 13-3=10
Exploring Operation: 29+3=32, Resulting Numbers: [13, 32]
Generated Node #0,0,4: 11:[13, 32] Operation: 29+3=32
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 11:[3, 16], Operations: ['66/22=3', '29-13=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[13, 26], Operations: ['66/22=3', '29-3=26']
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 11:[29, 10], Operations: ['66/22=3', '13-3=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 29*10=290, Resulting Numbers: [290]
290,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[29, 16], Operations: ['66/22=3', '13+3=16']
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,11 unequal: No Solution
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 11:[13, 32], Operations: ['66/22=3', '29+3=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[13, 22, 37], Operations: ['66-29=37']
Exploring Operation: 37-13=24, Resulting Numbers: [22, 24]
Generated Node #0,3,0: 11:[22, 24] Operation: 37-13=24
Exploring Operation: 22-13=9, Resulting Numbers: [37, 9]
Generated Node #0,3,1: 11:[37, 9] Operation: 22-13=9
Exploring Operation: 37-22=15, Resulting Numbers: [13, 15]
Generated Node #0,3,2: 11:[13, 15] Operation: 37-22=15
Exploring Operation: 13+22=35, Resulting Numbers: [37, 35]
Generated Node #0,3,3: 11:[37, 35] Operation: 13+22=35
Exploring Operation: 13+37=50, Resulting Numbers: [22, 50]
Generated Node #0,3,4: 11:[22, 50] Operation: 13+37=50
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 11:[13, 15], Operations: ['66-29=37', '37-22=15']
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 11:[22, 24], Operations: ['66-29=37', '37-13=24']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 11:[37, 9], Operations: ['66-29=37', '22-13=9']
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 37*9=333, Resulting Numbers: [333]
333,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 11:[37, 35], Operations: ['66-29=37', '13+22=35']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 11:[22, 50], Operations: ['66-29=37', '13+37=50']
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,11 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[29, 13, 44], Operations: ['66-22=44']
Exploring Operation: 44-13=31, Resulting Numbers: [29, 31]
Generated Node #0,1,0: 11:[29, 31] Operation: 44-13=31
Exploring Operation: 29+44=73, Resulting Numbers: [13, 73]
Generated Node #0,1,1: 11:[13, 73] Operation: 29+44=73
Exploring Operation: 29+13=42, Resulting Numbers: [44, 42]
Generated Node #0,1,2: 11:[44, 42] Operation: 29+13=42
Exploring Operation: 29-13=16, Resulting Numbers: [44, 16]
Generated Node #0,1,3: 11:[44, 16] Operation: 29-13=16
Exploring Operation: 44-29=15, Resulting Numbers: [13, 15]
Generated Node #0,1,4: 11:[13, 15] Operation: 44-29=15
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 11:[13, 15], Operations: ['66-22=44', '44-29=15']
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,11 unequal: No Solution
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,11 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[29, 31], Operations: ['66-22=44', '44-13=31']
Exploring Operation: 29*31=899, Resulting Numbers: [899]
899,11 unequal: No Solution
Exploring Operation: 29+31=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 11:[44, 16], Operations: ['66-22=44', '29-13=16']
Exploring Operation: 44*16=704, Resulting Numbers: [704]
704,11 unequal: No Solution
Exploring Operation: 44+16=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[13, 73], Operations: ['66-22=44', '29+44=73']
Exploring Operation: 13*73=949, Resulting Numbers: [949]
949,11 unequal: No Solution
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 13+73=86, Resulting Numbers: [86]
86,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[44, 42], Operations: ['66-22=44', '29+13=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,11 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[66, 13, 7], Operations: ['29-22=7']
Exploring Operation: 13+7=20, Resulting Numbers: [66, 20]
Generated Node #0,2,0: 11:[66, 20] Operation: 13+7=20
Exploring Operation: 13-7=6, Resulting Numbers: [66, 6]
Generated Node #0,2,1: 11:[66, 6] Operation: 13-7=6
Exploring Operation: 66-7=59, Resulting Numbers: [13, 59]
Generated Node #0,2,2: 11:[13, 59] Operation: 66-7=59
Exploring Operation: 66-13=53, Resulting Numbers: [7, 53]
Generated Node #0,2,3: 11:[7, 53] Operation: 66-13=53
Exploring Operation: 66+7=73, Resulting Numbers: [13, 73]
Generated Node #0,2,4: 11:[13, 73] Operation: 66+7=73
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 11:[7, 53], Operations: ['29-22=7', '66-13=53']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 7*53=371, Resulting Numbers: [371]
371,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[13, 59], Operations: ['29-22=7', '66-7=59']
Exploring Operation: 13*59=767, Resulting Numbers: [767]
767,11 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,11 unequal: No Solution
Exploring Operation: 13+59=72, Resulting Numbers: [72]
72,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 11:[66, 6], Operations: ['29-22=7', '13-7=6']
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[66, 29, 13, 22], Operations: []
Exploring Operation: 29-22=7, Resulting Numbers: [66, 13, 7]
Generated Node #0,2: 11:[66, 13, 7] Operation: 29-22=7
Moving to Node #0,2
Current State: 11:[66, 13, 7], Operations: ['29-22=7']
Exploring Operation: 13-7=6, Resulting Numbers: [66, 6]
Generated Node #0,2,1: 11:[66, 6] Operation: 13-7=6
Moving to Node #0,2,1
Current State: 11:[66, 6], Operations: ['29-22=7', '13-7=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.927951 | hs_5 | mult_heuristic |
[
15,
36,
5,
81
] | 69 | [
"15/5=3",
"36/3=12",
"81-12=69"
] | Current State: 69:[15, 36, 5, 81], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [36, 81, 3]
Generated Node #2: [36, 81, 3] from Operation: 15/5=3
Current State: 69:[36, 81, 3], Operations: ['15/5=3']
Exploring Operation: 36/3=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 36/3=12
Current State: 69:[81, 12], Operations: ['15/5=3', '36/3=12']
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[15, 36, 5, 81], Operations: []
Exploring Operation: 36-15=21, Resulting Numbers: [5, 81, 21]
Generated Node #0,0: 69:[5, 81, 21] Operation: 36-15=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[5, 81, 21], Operations: ['36-15=21']
Exploring Operation: 81-5=76, Resulting Numbers: [21, 76]
Generated Node #0,0,0: 69:[21, 76] Operation: 81-5=76
Moving to Node #0,0,0
Current State: 69:[21, 76], Operations: ['36-15=21', '81-5=76']
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
69,
68,
41
] | 48 | [
"69-8=61",
"68+41=109",
"109-61=48"
] | Current State: 48:[8, 69, 68, 41], Operations: []
Exploring Operation: 69-8=61, Resulting Numbers: [68, 41, 61]
Generated Node #2: [68, 41, 61] from Operation: 69-8=61
Current State: 48:[68, 41, 61], Operations: ['69-8=61']
Exploring Operation: 68+41=109, Resulting Numbers: [61, 109]
Generated Node #3: [61, 109] from Operation: 68+41=109
Current State: 48:[61, 109], Operations: ['69-8=61', '68+41=109']
Exploring Operation: 109-61=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[8, 69, 68, 41], Operations: []
Exploring Operation: 69-68=1, Resulting Numbers: [8, 41, 1]
Generated Node #0,0: 48:[8, 41, 1] Operation: 69-68=1
Exploring Operation: 69-41=28, Resulting Numbers: [8, 68, 28]
Generated Node #0,1: 48:[8, 68, 28] Operation: 69-41=28
Moving to Node #0,0
Current State: 48:[8, 41, 1], Operations: ['69-68=1']
Exploring Operation: 8+41=49, Resulting Numbers: [1, 49]
Generated Node #0,0,0: 48:[1, 49] Operation: 8+41=49
Exploring Operation: 41+1=42, Resulting Numbers: [8, 42]
Generated Node #0,0,1: 48:[8, 42] Operation: 41+1=42
Moving to Node #0,1
Current State: 48:[8, 68, 28], Operations: ['69-41=28']
Exploring Operation: 68-8=60, Resulting Numbers: [28, 60]
Generated Node #0,1,0: 48:[28, 60] Operation: 68-8=60
Exploring Operation: 68-28=40, Resulting Numbers: [8, 40]
Generated Node #0,1,1: 48:[8, 40] Operation: 68-28=40
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[8, 40], Operations: ['69-41=28', '68-28=40']
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[8, 69, 68, 41], Operations: []
Exploring Operation: 69-41=28, Resulting Numbers: [8, 68, 28]
Generated Node #0,1: 48:[8, 68, 28] Operation: 69-41=28
Moving to Node #0,1
Current State: 48:[8, 68, 28], Operations: ['69-41=28']
Exploring Operation: 68-28=40, Resulting Numbers: [8, 40]
Generated Node #0,1,1: 48:[8, 40] Operation: 68-28=40
Moving to Node #0,1,1
Current State: 48:[8, 40], Operations: ['69-41=28', '68-28=40']
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
48,
23,
66,
9
] | 93 | [
"48+66=114",
"23*9=207",
"207-114=93"
] | Current State: 93:[48, 23, 66, 9], Operations: []
Exploring Operation: 48+66=114, Resulting Numbers: [23, 9, 114]
Generated Node #2: [23, 9, 114] from Operation: 48+66=114
Current State: 93:[23, 9, 114], Operations: ['48+66=114']
Exploring Operation: 23*9=207, Resulting Numbers: [114, 207]
Generated Node #3: [114, 207] from Operation: 23*9=207
Current State: 93:[114, 207], Operations: ['48+66=114', '23*9=207']
Exploring Operation: 207-114=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[48, 23, 66, 9], Operations: []
Exploring Operation: 66-23=43, Resulting Numbers: [48, 9, 43]
Generated Node #0,0: 93:[48, 9, 43] Operation: 66-23=43
Exploring Operation: 48+66=114, Resulting Numbers: [23, 9, 114]
Generated Node #0,1: 93:[23, 9, 114] Operation: 48+66=114
Exploring Operation: 23+66=89, Resulting Numbers: [48, 9, 89]
Generated Node #0,2: 93:[48, 9, 89] Operation: 23+66=89
Exploring Operation: 66-48=18, Resulting Numbers: [23, 9, 18]
Generated Node #0,3: 93:[23, 9, 18] Operation: 66-48=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[48, 9, 89], Operations: ['23+66=89']
Exploring Operation: 48+9=57, Resulting Numbers: [89, 57]
Generated Node #0,2,0: 93:[89, 57] Operation: 48+9=57
Exploring Operation: 89-48=41, Resulting Numbers: [9, 41]
Generated Node #0,2,1: 93:[9, 41] Operation: 89-48=41
Exploring Operation: 48-9=39, Resulting Numbers: [89, 39]
Generated Node #0,2,2: 93:[89, 39] Operation: 48-9=39
Exploring Operation: 9+89=98, Resulting Numbers: [48, 98]
Generated Node #0,2,3: 93:[48, 98] Operation: 9+89=98
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[89, 39], Operations: ['23+66=89', '48-9=39']
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 89*39=3471, Resulting Numbers: [3471]
3471,93 unequal: No Solution
Exploring Operation: 89+39=128, Resulting Numbers: [128]
128,93 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 #0,2,1
Current State: 93:[9, 41], Operations: ['23+66=89', '89-48=41']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 9*41=369, Resulting Numbers: [369]
369,93 unequal: No Solution
Exploring Operation: 9+41=50, Resulting Numbers: [50]
50,93 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 #0,2,3
Current State: 93:[48, 98], Operations: ['23+66=89', '9+89=98']
Exploring Operation: 48+98=146, Resulting Numbers: [146]
146,93 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 48*98=4704, Resulting Numbers: [4704]
4704,93 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 #0,2,0
Current State: 93:[89, 57], Operations: ['23+66=89', '48+9=57']
Exploring Operation: 89*57=5073, Resulting Numbers: [5073]
5073,93 unequal: No Solution
Exploring Operation: 89+57=146, Resulting Numbers: [146]
146,93 unequal: No Solution
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[23, 9, 18], Operations: ['66-48=18']
Exploring Operation: 23+9=32, Resulting Numbers: [18, 32]
Generated Node #0,3,0: 93:[18, 32] Operation: 23+9=32
Exploring Operation: 18/9=2, Resulting Numbers: [23, 2]
Generated Node #0,3,1: 93:[23, 2] Operation: 18/9=2
Exploring Operation: 23-18=5, Resulting Numbers: [9, 5]
Generated Node #0,3,2: 93:[9, 5] Operation: 23-18=5
Exploring Operation: 9+18=27, Resulting Numbers: [23, 27]
Generated Node #0,3,3: 93:[23, 27] Operation: 9+18=27
Moving to Node #0,3,2
Current State: 93:[9, 5], Operations: ['66-48=18', '23-18=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[23, 2], Operations: ['66-48=18', '18/9=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[23, 27], Operations: ['66-48=18', '9+18=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 23*27=621, Resulting Numbers: [621]
621,93 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[18, 32], Operations: ['66-48=18', '23+9=32']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 18*32=576, Resulting Numbers: [576]
576,93 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 #0,0
Current State: 93:[48, 9, 43], Operations: ['66-23=43']
Exploring Operation: 48+43=91, Resulting Numbers: [9, 91]
Generated Node #0,0,0: 93:[9, 91] Operation: 48+43=91
Exploring Operation: 48-9=39, Resulting Numbers: [43, 39]
Generated Node #0,0,1: 93:[43, 39] Operation: 48-9=39
Exploring Operation: 48-43=5, Resulting Numbers: [9, 5]
Generated Node #0,0,2: 93:[9, 5] Operation: 48-43=5
Exploring Operation: 43-9=34, Resulting Numbers: [48, 34]
Generated Node #0,0,3: 93:[48, 34] Operation: 43-9=34
Moving to Node #0,0,0
Current State: 93:[9, 91], Operations: ['66-23=43', '48+43=91']
Exploring Operation: 9+91=100, Resulting Numbers: [100]
100,93 unequal: No Solution
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 9*91=819, Resulting Numbers: [819]
819,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[9, 5], Operations: ['66-23=43', '48-43=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[48, 34], Operations: ['66-23=43', '43-9=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[43, 39], Operations: ['66-23=43', '48-9=39']
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,93 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[23, 9, 114], Operations: ['48+66=114']
Exploring Operation: 114-9=105, Resulting Numbers: [23, 105]
Generated Node #0,1,0: 93:[23, 105] Operation: 114-9=105
Exploring Operation: 114-23=91, Resulting Numbers: [9, 91]
Generated Node #0,1,1: 93:[9, 91] Operation: 114-23=91
Exploring Operation: 23-9=14, Resulting Numbers: [114, 14]
Generated Node #0,1,2: 93:[114, 14] Operation: 23-9=14
Exploring Operation: 23+9=32, Resulting Numbers: [114, 32]
Generated Node #0,1,3: 93:[114, 32] Operation: 23+9=32
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[9, 91], Operations: ['48+66=114', '114-23=91']
Exploring Operation: 9*91=819, Resulting Numbers: [819]
819,93 unequal: No Solution
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 9+91=100, Resulting Numbers: [100]
100,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[23, 105], Operations: ['48+66=114', '114-9=105']
Exploring Operation: 23*105=2415, Resulting Numbers: [2415]
2415,93 unequal: No Solution
Exploring Operation: 23+105=128, Resulting Numbers: [128]
128,93 unequal: No Solution
Exploring Operation: 105-23=82, Resulting Numbers: [82]
82,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[114, 32], Operations: ['48+66=114', '23+9=32']
Exploring Operation: 114-32=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 114*32=3648, Resulting Numbers: [3648]
3648,93 unequal: No Solution
Exploring Operation: 114+32=146, Resulting Numbers: [146]
146,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[114, 14], Operations: ['48+66=114', '23-9=14']
Exploring Operation: 114*14=1596, Resulting Numbers: [1596]
1596,93 unequal: No Solution
Exploring Operation: 114+14=128, Resulting Numbers: [128]
128,93 unequal: No Solution
Exploring Operation: 114-14=100, Resulting Numbers: [100]
100,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
3,
5,
2,
8
] | 77 | [
"3+8=11",
"5+2=7",
"11*7=77"
] | Current State: 77:[3, 5, 2, 8], Operations: []
Exploring Operation: 3+8=11, Resulting Numbers: [5, 2, 11]
Generated Node #2: [5, 2, 11] from Operation: 3+8=11
Current State: 77:[5, 2, 11], Operations: ['3+8=11']
Exploring Operation: 5+2=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 5+2=7
Current State: 77:[11, 7], Operations: ['3+8=11', '5+2=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[3, 5, 2, 8], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [3, 8, 10]
Generated Node #0,0: 77:[3, 8, 10] Operation: 5*2=10
Exploring Operation: 5+2=7, Resulting Numbers: [3, 8, 7]
Generated Node #0,1: 77:[3, 8, 7] Operation: 5+2=7
Exploring Operation: 3*2=6, Resulting Numbers: [5, 8, 6]
Generated Node #0,2: 77:[5, 8, 6] Operation: 3*2=6
Exploring Operation: 3+2=5, Resulting Numbers: [5, 8, 5]
Generated Node #0,3: 77:[5, 8, 5] Operation: 3+2=5
Moving to Node #0,2
Current State: 77:[5, 8, 6], Operations: ['3*2=6']
Exploring Operation: 5+6=11, Resulting Numbers: [8, 11]
Generated Node #0,2,0: 77:[8, 11] Operation: 5+6=11
Exploring Operation: 5+8=13, Resulting Numbers: [6, 13]
Generated Node #0,2,1: 77:[6, 13] Operation: 5+8=13
Exploring Operation: 8-5=3, Resulting Numbers: [6, 3]
Generated Node #0,2,2: 77:[6, 3] Operation: 8-5=3
Exploring Operation: 8+6=14, Resulting Numbers: [5, 14]
Generated Node #0,2,3: 77:[5, 14] Operation: 8+6=14
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[8, 11], Operations: ['3*2=6', '5+6=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[6, 13], Operations: ['3*2=6', '5+8=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[6, 3], Operations: ['3*2=6', '8-5=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 77:[5, 14], Operations: ['3*2=6', '8+6=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,77 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: 77:[5, 8, 5], Operations: ['3+2=5']
Exploring Operation: 5+8=13, Resulting Numbers: [5, 13]
Generated Node #0,3,0: 77:[5, 13] Operation: 5+8=13
Exploring Operation: 8+5=13, Resulting Numbers: [5, 13]
Generated Node #0,3,1: 77:[5, 13] Operation: 8+5=13
Exploring Operation: 8-5=3, Resulting Numbers: [5, 3]
Generated Node #0,3,2: 77:[5, 3] Operation: 8-5=3
Exploring Operation: 5+5=10, Resulting Numbers: [8, 10]
Generated Node #0,3,3: 77:[8, 10] Operation: 5+5=10
Moving to Node #0,1
Current State: 77:[3, 8, 7], Operations: ['5+2=7']
Exploring Operation: 3+7=10, Resulting Numbers: [8, 10]
Generated Node #0,1,0: 77:[8, 10] Operation: 3+7=10
Exploring Operation: 7-3=4, Resulting Numbers: [8, 4]
Generated Node #0,1,1: 77:[8, 4] Operation: 7-3=4
Exploring Operation: 3+8=11, Resulting Numbers: [7, 11]
Generated Node #0,1,2: 77:[7, 11] Operation: 3+8=11
Exploring Operation: 8-3=5, Resulting Numbers: [7, 5]
Generated Node #0,1,3: 77:[7, 5] Operation: 8-3=5
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[7, 11], Operations: ['5+2=7', '3+8=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[3, 5, 2, 8], Operations: []
Exploring Operation: 5+2=7, Resulting Numbers: [3, 8, 7]
Generated Node #0,1: 77:[3, 8, 7] Operation: 5+2=7
Moving to Node #0,1
Current State: 77:[3, 8, 7], Operations: ['5+2=7']
Exploring Operation: 3+8=11, Resulting Numbers: [7, 11]
Generated Node #0,1,2: 77:[7, 11] Operation: 3+8=11
Moving to Node #0,1,2
Current State: 77:[7, 11], Operations: ['5+2=7', '3+8=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
20,
47,
12,
55
] | 16 | [
"47-20=27",
"55-12=43",
"43-27=16"
] | Current State: 16:[20, 47, 12, 55], Operations: []
Exploring Operation: 47-20=27, Resulting Numbers: [12, 55, 27]
Generated Node #2: [12, 55, 27] from Operation: 47-20=27
Current State: 16:[12, 55, 27], Operations: ['47-20=27']
Exploring Operation: 55-12=43, Resulting Numbers: [27, 43]
Generated Node #3: [27, 43] from Operation: 55-12=43
Current State: 16:[27, 43], Operations: ['47-20=27', '55-12=43']
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[20, 47, 12, 55], Operations: []
Exploring Operation: 47-20=27, Resulting Numbers: [12, 55, 27]
Generated Node #0,0: 16:[12, 55, 27] Operation: 47-20=27
Exploring Operation: 55-47=8, Resulting Numbers: [20, 12, 8]
Generated Node #0,1: 16:[20, 12, 8] Operation: 55-47=8
Exploring Operation: 55-20=35, Resulting Numbers: [47, 12, 35]
Generated Node #0,2: 16:[47, 12, 35] Operation: 55-20=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[20, 12, 8], Operations: ['55-47=8']
Exploring Operation: 12-8=4, Resulting Numbers: [20, 4]
Generated Node #0,1,0: 16:[20, 4] Operation: 12-8=4
Exploring Operation: 20-12=8, Resulting Numbers: [8, 8]
Generated Node #0,1,1: 16:[8, 8] Operation: 20-12=8
Exploring Operation: 20-8=12, Resulting Numbers: [12, 12]
Generated Node #0,1,2: 16:[12, 12] Operation: 20-8=12
Moving to Node #0,1,1
Current State: 16:[8, 8], Operations: ['55-47=8', '20-12=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[20, 47, 12, 55], Operations: []
Exploring Operation: 55-47=8, Resulting Numbers: [20, 12, 8]
Generated Node #0,1: 16:[20, 12, 8] Operation: 55-47=8
Moving to Node #0,1
Current State: 16:[20, 12, 8], Operations: ['55-47=8']
Exploring Operation: 20-12=8, Resulting Numbers: [8, 8]
Generated Node #0,1,1: 16:[8, 8] Operation: 20-12=8
Moving to Node #0,1,1
Current State: 16:[8, 8], Operations: ['55-47=8', '20-12=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
95,
68,
72,
67
] | 32 | [
"95-68=27",
"72-67=5",
"27+5=32"
] | Current State: 32:[95, 68, 72, 67], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [72, 67, 27]
Generated Node #2: [72, 67, 27] from Operation: 95-68=27
Current State: 32:[72, 67, 27], Operations: ['95-68=27']
Exploring Operation: 72-67=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 72-67=5
Current State: 32:[27, 5], Operations: ['95-68=27', '72-67=5']
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[95, 68, 72, 67], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [95, 67, 4]
Generated Node #0,0: 32:[95, 67, 4] Operation: 72-68=4
Exploring Operation: 95-68=27, Resulting Numbers: [72, 67, 27]
Generated Node #0,1: 32:[72, 67, 27] Operation: 95-68=27
Exploring Operation: 95-67=28, Resulting Numbers: [68, 72, 28]
Generated Node #0,2: 32:[68, 72, 28] Operation: 95-67=28
Exploring Operation: 72-67=5, Resulting Numbers: [95, 68, 5]
Generated Node #0,3: 32:[95, 68, 5] Operation: 72-67=5
Exploring Operation: 95-72=23, Resulting Numbers: [68, 67, 23]
Generated Node #0,4: 32:[68, 67, 23] Operation: 95-72=23
Moving to Node #0,4
Current State: 32:[68, 67, 23], Operations: ['95-72=23']
Exploring Operation: 68-67=1, Resulting Numbers: [23, 1]
Generated Node #0,4,0: 32:[23, 1] Operation: 68-67=1
Exploring Operation: 67-23=44, Resulting Numbers: [68, 44]
Generated Node #0,4,1: 32:[68, 44] Operation: 67-23=44
Exploring Operation: 67+23=90, Resulting Numbers: [68, 90]
Generated Node #0,4,2: 32:[68, 90] Operation: 67+23=90
Exploring Operation: 68-23=45, Resulting Numbers: [67, 45]
Generated Node #0,4,3: 32:[67, 45] Operation: 68-23=45
Exploring Operation: 68+23=91, Resulting Numbers: [67, 91]
Generated Node #0,4,4: 32:[67, 91] Operation: 68+23=91
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 32:[23, 1], Operations: ['95-72=23', '68-67=1']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,32 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 32:[68, 44], Operations: ['95-72=23', '67-23=44']
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 68+44=112, Resulting Numbers: [112]
112,32 unequal: No Solution
Exploring Operation: 68*44=2992, Resulting Numbers: [2992]
2992,32 unequal: No Solution
No 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: 32:[67, 45], Operations: ['95-72=23', '68-23=45']
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,32 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,32 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,32 unequal: No Solution
No 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: 32:[68, 90], Operations: ['95-72=23', '67+23=90']
Exploring Operation: 68*90=6120, Resulting Numbers: [6120]
6120,32 unequal: No Solution
Exploring Operation: 68+90=158, Resulting Numbers: [158]
158,32 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,32 unequal: No Solution
No 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: 32:[67, 91], Operations: ['95-72=23', '68+23=91']
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 67*91=6097, Resulting Numbers: [6097]
6097,32 unequal: No Solution
Exploring Operation: 67+91=158, Resulting Numbers: [158]
158,32 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: 32:[68, 72, 28], Operations: ['95-67=28']
Exploring Operation: 72-68=4, Resulting Numbers: [28, 4]
Generated Node #0,2,0: 32:[28, 4] Operation: 72-68=4
Exploring Operation: 68-28=40, Resulting Numbers: [72, 40]
Generated Node #0,2,1: 32:[72, 40] Operation: 68-28=40
Exploring Operation: 72-28=44, Resulting Numbers: [68, 44]
Generated Node #0,2,2: 32:[68, 44] Operation: 72-28=44
Exploring Operation: 68+28=96, Resulting Numbers: [72, 96]
Generated Node #0,2,3: 32:[72, 96] Operation: 68+28=96
Exploring Operation: 72+28=100, Resulting Numbers: [68, 100]
Generated Node #0,2,4: 32:[68, 100] Operation: 72+28=100
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[28, 4], Operations: ['95-67=28', '72-68=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,32 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[95, 68, 72, 67], Operations: []
Exploring Operation: 95-67=28, Resulting Numbers: [68, 72, 28]
Generated Node #0,2: 32:[68, 72, 28] Operation: 95-67=28
Moving to Node #0,2
Current State: 32:[68, 72, 28], Operations: ['95-67=28']
Exploring Operation: 72-68=4, Resulting Numbers: [28, 4]
Generated Node #0,2,0: 32:[28, 4] Operation: 72-68=4
Moving to Node #0,2,0
Current State: 32:[28, 4], Operations: ['95-67=28', '72-68=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
81,
64,
55,
80
] | 42 | [
"81-64=17",
"80-55=25",
"17+25=42"
] | Current State: 42:[81, 64, 55, 80], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [55, 80, 17]
Generated Node #2: [55, 80, 17] from Operation: 81-64=17
Current State: 42:[55, 80, 17], Operations: ['81-64=17']
Exploring Operation: 80-55=25, Resulting Numbers: [17, 25]
Generated Node #3: [17, 25] from Operation: 80-55=25
Current State: 42:[17, 25], Operations: ['81-64=17', '80-55=25']
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[81, 64, 55, 80], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [64, 55, 1]
Generated Node #0,0: 42:[64, 55, 1] Operation: 81-80=1
Moving to Node #0,0
Current State: 42:[64, 55, 1], Operations: ['81-80=1']
Exploring Operation: 64-55=9, Resulting Numbers: [1, 9]
Generated Node #0,0,0: 42:[1, 9] Operation: 64-55=9
Moving to Node #0,0,0
Current State: 42:[1, 9], Operations: ['81-80=1', '64-55=9']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
84,
48,
4,
48
] | 75 | [
"84/4=21",
"48+48=96",
"96-21=75"
] | Current State: 75:[84, 48, 4, 48], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [48, 48, 21]
Generated Node #2: [48, 48, 21] from Operation: 84/4=21
Current State: 75:[48, 48, 21], Operations: ['84/4=21']
Exploring Operation: 48+48=96, Resulting Numbers: [21, 96]
Generated Node #3: [21, 96] from Operation: 48+48=96
Current State: 75:[21, 96], Operations: ['84/4=21', '48+48=96']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[84, 48, 4, 48], Operations: []
Exploring Operation: 48/48=1, Resulting Numbers: [84, 4, 1]
Generated Node #0,0: 75:[84, 4, 1] Operation: 48/48=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[84, 4, 1], Operations: ['48/48=1']
Exploring Operation: 84/4=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 75:[1, 21] Operation: 84/4=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[1, 21], Operations: ['48/48=1', '84/4=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,75 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
50,
12,
57,
77
] | 72 | [
"50+12=62",
"57+77=134",
"134-62=72"
] | Current State: 72:[50, 12, 57, 77], Operations: []
Exploring Operation: 50+12=62, Resulting Numbers: [57, 77, 62]
Generated Node #2: [57, 77, 62] from Operation: 50+12=62
Current State: 72:[57, 77, 62], Operations: ['50+12=62']
Exploring Operation: 57+77=134, Resulting Numbers: [62, 134]
Generated Node #3: [62, 134] from Operation: 57+77=134
Current State: 72:[62, 134], Operations: ['50+12=62', '57+77=134']
Exploring Operation: 134-62=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[50, 12, 57, 77], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [12, 77, 7]
Generated Node #0,0: 72:[12, 77, 7] Operation: 57-50=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[12, 77, 7], Operations: ['57-50=7']
Exploring Operation: 77/7=11, Resulting Numbers: [12, 11]
Generated Node #0,0,0: 72:[12, 11] Operation: 77/7=11
Moving to Node #0,0,0
Current State: 72:[12, 11], Operations: ['57-50=7', '77/7=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,72 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 |
[
4,
68,
13,
94
] | 98 | [
"68/4=17",
"94-13=81",
"17+81=98"
] | Current State: 98:[4, 68, 13, 94], Operations: []
Exploring Operation: 68/4=17, Resulting Numbers: [13, 94, 17]
Generated Node #2: [13, 94, 17] from Operation: 68/4=17
Current State: 98:[13, 94, 17], Operations: ['68/4=17']
Exploring Operation: 94-13=81, Resulting Numbers: [17, 81]
Generated Node #3: [17, 81] from Operation: 94-13=81
Current State: 98:[17, 81], Operations: ['68/4=17', '94-13=81']
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[4, 68, 13, 94], Operations: []
Exploring Operation: 68-4=64, Resulting Numbers: [13, 94, 64]
Generated Node #0,0: 98:[13, 94, 64] Operation: 68-4=64
Exploring Operation: 94-68=26, Resulting Numbers: [4, 13, 26]
Generated Node #0,1: 98:[4, 13, 26] Operation: 94-68=26
Exploring Operation: 68/4=17, Resulting Numbers: [13, 94, 17]
Generated Node #0,2: 98:[13, 94, 17] Operation: 68/4=17
Exploring Operation: 68-13=55, Resulting Numbers: [4, 94, 55]
Generated Node #0,3: 98:[4, 94, 55] Operation: 68-13=55
Moving to Node #0,2
Current State: 98:[13, 94, 17], Operations: ['68/4=17']
Exploring Operation: 17-13=4, Resulting Numbers: [94, 4]
Generated Node #0,2,0: 98:[94, 4] Operation: 17-13=4
Exploring Operation: 94+17=111, Resulting Numbers: [13, 111]
Generated Node #0,2,1: 98:[13, 111] Operation: 94+17=111
Exploring Operation: 13+94=107, Resulting Numbers: [17, 107]
Generated Node #0,2,2: 98:[17, 107] Operation: 13+94=107
Exploring Operation: 94-13=81, Resulting Numbers: [17, 81]
Generated Node #0,2,3: 98:[17, 81] Operation: 94-13=81
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 98:[94, 4], Operations: ['68/4=17', '17-13=4']
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,98 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[4, 68, 13, 94], Operations: []
Exploring Operation: 68/4=17, Resulting Numbers: [13, 94, 17]
Generated Node #0,2: 98:[13, 94, 17] Operation: 68/4=17
Moving to Node #0,2
Current State: 98:[13, 94, 17], Operations: ['68/4=17']
Exploring Operation: 17-13=4, Resulting Numbers: [94, 4]
Generated Node #0,2,0: 98:[94, 4] Operation: 17-13=4
Moving to Node #0,2,0
Current State: 98:[94, 4], Operations: ['68/4=17', '17-13=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
45,
97,
21,
86
] | 77 | [
"45+97=142",
"86-21=65",
"142-65=77"
] | Current State: 77:[45, 97, 21, 86], Operations: []
Exploring Operation: 45+97=142, Resulting Numbers: [21, 86, 142]
Generated Node #2: [21, 86, 142] from Operation: 45+97=142
Current State: 77:[21, 86, 142], Operations: ['45+97=142']
Exploring Operation: 86-21=65, Resulting Numbers: [142, 65]
Generated Node #3: [142, 65] from Operation: 86-21=65
Current State: 77:[142, 65], Operations: ['45+97=142', '86-21=65']
Exploring Operation: 142-65=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[45, 97, 21, 86], Operations: []
Exploring Operation: 45+21=66, Resulting Numbers: [97, 86, 66]
Generated Node #0,0: 77:[97, 86, 66] Operation: 45+21=66
Moving to Node #0,0
Current State: 77:[97, 86, 66], Operations: ['45+21=66']
Exploring Operation: 97-86=11, Resulting Numbers: [66, 11]
Generated Node #0,0,0: 77:[66, 11] Operation: 97-86=11
Moving to Node #0,0,0
Current State: 77:[66, 11], Operations: ['45+21=66', '97-86=11']
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[45, 97, 21, 86], Operations: []
Exploring Operation: 45+21=66, Resulting Numbers: [97, 86, 66]
Generated Node #0,0: 77:[97, 86, 66] Operation: 45+21=66
Moving to Node #0,0
Current State: 77:[97, 86, 66], Operations: ['45+21=66']
Exploring Operation: 97-86=11, Resulting Numbers: [66, 11]
Generated Node #0,0,0: 77:[66, 11] Operation: 97-86=11
Moving to Node #0,0,0
Current State: 77:[66, 11], Operations: ['45+21=66', '97-86=11']
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
30,
8,
46,
2
] | 66 | [
"30-8=22",
"46-2=44",
"22+44=66"
] | Current State: 66:[30, 8, 46, 2], Operations: []
Exploring Operation: 30-8=22, Resulting Numbers: [46, 2, 22]
Generated Node #2: [46, 2, 22] from Operation: 30-8=22
Current State: 66:[46, 2, 22], Operations: ['30-8=22']
Exploring Operation: 46-2=44, Resulting Numbers: [22, 44]
Generated Node #3: [22, 44] from Operation: 46-2=44
Current State: 66:[22, 44], Operations: ['30-8=22', '46-2=44']
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[30, 8, 46, 2], Operations: []
Exploring Operation: 46/2=23, Resulting Numbers: [30, 8, 23]
Generated Node #0,0: 66:[30, 8, 23] Operation: 46/2=23
Exploring Operation: 46-30=16, Resulting Numbers: [8, 2, 16]
Generated Node #0,1: 66:[8, 2, 16] Operation: 46-30=16
Moving to Node #0,0
Current State: 66:[30, 8, 23], Operations: ['46/2=23']
Exploring Operation: 30-8=22, Resulting Numbers: [23, 22]
Generated Node #0,0,0: 66:[23, 22] Operation: 30-8=22
Exploring Operation: 30-23=7, Resulting Numbers: [8, 7]
Generated Node #0,0,1: 66:[8, 7] Operation: 30-23=7
Moving to Node #0,1
Current State: 66:[8, 2, 16], Operations: ['46-30=16']
Exploring Operation: 16/8=2, Resulting Numbers: [2, 2]
Generated Node #0,1,0: 66:[2, 2] Operation: 16/8=2
Exploring Operation: 8+16=24, Resulting Numbers: [2, 24]
Generated Node #0,1,1: 66:[2, 24] Operation: 8+16=24
Moving to Node #0,1,0
Current State: 66:[2, 2], Operations: ['46-30=16', '16/8=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[23, 22], Operations: ['46/2=23', '30-8=22']
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[2, 24], Operations: ['46-30=16', '8+16=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[8, 7], Operations: ['46/2=23', '30-23=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,66 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
44,
20,
63,
41
] | 22 | [
"63-20=43",
"43-41=2",
"44/2=22"
] | Current State: 22:[44, 20, 63, 41], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [44, 41, 43]
Generated Node #2: [44, 41, 43] from Operation: 63-20=43
Current State: 22:[44, 41, 43], Operations: ['63-20=43']
Exploring Operation: 43-41=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 43-41=2
Current State: 22:[44, 2], Operations: ['63-20=43', '43-41=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[44, 20, 63, 41], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [44, 20, 22]
Generated Node #0,0: 22:[44, 20, 22] Operation: 63-41=22
Exploring Operation: 63-44=19, Resulting Numbers: [20, 41, 19]
Generated Node #0,1: 22:[20, 41, 19] Operation: 63-44=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[44, 20, 22], Operations: ['63-41=22']
Exploring Operation: 44-22=22, Resulting Numbers: [20, 22]
Generated Node #0,0,0: 22:[20, 22] Operation: 44-22=22
Exploring Operation: 44-20=24, Resulting Numbers: [22, 24]
Generated Node #0,0,1: 22:[22, 24] Operation: 44-20=24
Moving to Node #0,0,0
Current State: 22:[20, 22], Operations: ['63-41=22', '44-22=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[22, 24], Operations: ['63-41=22', '44-20=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[20, 41, 19], Operations: ['63-44=19']
Exploring Operation: 41-20=21, Resulting Numbers: [19, 21]
Generated Node #0,1,0: 22:[19, 21] Operation: 41-20=21
Exploring Operation: 41-19=22, Resulting Numbers: [20, 22]
Generated Node #0,1,1: 22:[20, 22] Operation: 41-19=22
Moving to Node #0,1,1
Current State: 22:[20, 22], Operations: ['63-44=19', '41-19=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[19, 21], Operations: ['63-44=19', '41-20=21']
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,22 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 |
[
41,
37,
3,
69
] | 49 | [
"41+37=78",
"69+78=147",
"147/3=49"
] | Current State: 49:[41, 37, 3, 69], Operations: []
Exploring Operation: 41+37=78, Resulting Numbers: [3, 69, 78]
Generated Node #2: [3, 69, 78] from Operation: 41+37=78
Current State: 49:[3, 69, 78], Operations: ['41+37=78']
Exploring Operation: 69+78=147, Resulting Numbers: [3, 147]
Generated Node #3: [3, 147] from Operation: 69+78=147
Current State: 49:[3, 147], Operations: ['41+37=78', '69+78=147']
Exploring Operation: 147/3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[41, 37, 3, 69], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [41, 37, 23]
Generated Node #0,0: 49:[41, 37, 23] Operation: 69/3=23
Exploring Operation: 69-37=32, Resulting Numbers: [41, 3, 32]
Generated Node #0,1: 49:[41, 3, 32] Operation: 69-37=32
Exploring Operation: 41-37=4, Resulting Numbers: [3, 69, 4]
Generated Node #0,2: 49:[3, 69, 4] Operation: 41-37=4
Exploring Operation: 41+3=44, Resulting Numbers: [37, 69, 44]
Generated Node #0,3: 49:[37, 69, 44] Operation: 41+3=44
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[3, 69, 4], Operations: ['41-37=4']
Exploring Operation: 3+4=7, Resulting Numbers: [69, 7]
Generated Node #0,2,0: 49:[69, 7] Operation: 3+4=7
Exploring Operation: 69-3=66, Resulting Numbers: [4, 66]
Generated Node #0,2,1: 49:[4, 66] Operation: 69-3=66
Exploring Operation: 69-4=65, Resulting Numbers: [3, 65]
Generated Node #0,2,2: 49:[3, 65] Operation: 69-4=65
Exploring Operation: 69/3=23, Resulting Numbers: [4, 23]
Generated Node #0,2,3: 49:[4, 23] Operation: 69/3=23
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[4, 23], Operations: ['41-37=4', '69/3=23']
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,49 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,49 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 #0,2,0
Current State: 49:[69, 7], Operations: ['41-37=4', '3+4=7']
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,49 unequal: No Solution
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,49 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 #0,2,1
Current State: 49:[4, 66], Operations: ['41-37=4', '69-3=66']
Exploring Operation: 4*66=264, Resulting Numbers: [264]
264,49 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,49 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 #0,2,2
Current State: 49:[3, 65], Operations: ['41-37=4', '69-4=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,49 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,49 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: 49:[41, 3, 32], Operations: ['69-37=32']
Exploring Operation: 3+32=35, Resulting Numbers: [41, 35]
Generated Node #0,1,0: 49:[41, 35] Operation: 3+32=35
Exploring Operation: 41+3=44, Resulting Numbers: [32, 44]
Generated Node #0,1,1: 49:[32, 44] Operation: 41+3=44
Exploring Operation: 41-32=9, Resulting Numbers: [3, 9]
Generated Node #0,1,2: 49:[3, 9] Operation: 41-32=9
Exploring Operation: 41-3=38, Resulting Numbers: [32, 38]
Generated Node #0,1,3: 49:[32, 38] Operation: 41-3=38
Moving to Node #0,1,2
Current State: 49:[3, 9], Operations: ['69-37=32', '41-32=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[32, 44], Operations: ['69-37=32', '41+3=44']
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[41, 35], Operations: ['69-37=32', '3+32=35']
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 41*35=1435, Resulting Numbers: [1435]
1435,49 unequal: No Solution
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[32, 38], Operations: ['69-37=32', '41-3=38']
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,49 unequal: No Solution
Exploring Operation: 32*38=1216, Resulting Numbers: [1216]
1216,49 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,49 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
Current State: 49:[41, 37, 23], Operations: ['69/3=23']
Exploring Operation: 37-23=14, Resulting Numbers: [41, 14]
Generated Node #0,0,0: 49:[41, 14] Operation: 37-23=14
Exploring Operation: 41-23=18, Resulting Numbers: [37, 18]
Generated Node #0,0,1: 49:[37, 18] Operation: 41-23=18
Exploring Operation: 41-37=4, Resulting Numbers: [23, 4]
Generated Node #0,0,2: 49:[23, 4] Operation: 41-37=4
Exploring Operation: 37+23=60, Resulting Numbers: [41, 60]
Generated Node #0,0,3: 49:[41, 60] Operation: 37+23=60
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[41, 14], Operations: ['69/3=23', '37-23=14']
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,49 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 #0,0,2
Current State: 49:[23, 4], Operations: ['69/3=23', '41-37=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,49 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,49 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 #0,0,3
Current State: 49:[41, 60], Operations: ['69/3=23', '37+23=60']
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 41+60=101, Resulting Numbers: [101]
101,49 unequal: No Solution
Exploring Operation: 41*60=2460, Resulting Numbers: [2460]
2460,49 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 #0,0,1
Current State: 49:[37, 18], Operations: ['69/3=23', '41-23=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,49 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: 49:[37, 69, 44], Operations: ['41+3=44']
Exploring Operation: 37+44=81, Resulting Numbers: [69, 81]
Generated Node #0,3,0: 49:[69, 81] Operation: 37+44=81
Exploring Operation: 44-37=7, Resulting Numbers: [69, 7]
Generated Node #0,3,1: 49:[69, 7] Operation: 44-37=7
Exploring Operation: 69-37=32, Resulting Numbers: [44, 32]
Generated Node #0,3,2: 49:[44, 32] Operation: 69-37=32
Exploring Operation: 69-44=25, Resulting Numbers: [37, 25]
Generated Node #0,3,3: 49:[37, 25] Operation: 69-44=25
Moving to Node #0,3,1
Current State: 49:[69, 7], Operations: ['41+3=44', '44-37=7']
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,49 unequal: No Solution
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[44, 32], Operations: ['41+3=44', '69-37=32']
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 44*32=1408, Resulting Numbers: [1408]
1408,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[37, 25], Operations: ['41+3=44', '69-44=25']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 37*25=925, Resulting Numbers: [925]
925,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[69, 81], Operations: ['41+3=44', '37+44=81']
Exploring Operation: 69+81=150, Resulting Numbers: [150]
150,49 unequal: No Solution
Exploring Operation: 69*81=5589, Resulting Numbers: [5589]
5589,49 unequal: No Solution
Exploring Operation: 81-69=12, Resulting Numbers: [12]
12,49 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 |
[
93,
3,
44,
6
] | 67 | [
"93-44=49",
"3*6=18",
"49+18=67"
] | Current State: 67:[93, 3, 44, 6], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [3, 6, 49]
Generated Node #2: [3, 6, 49] from Operation: 93-44=49
Current State: 67:[3, 6, 49], Operations: ['93-44=49']
Exploring Operation: 3*6=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 3*6=18
Current State: 67:[49, 18], Operations: ['93-44=49', '3*6=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[93, 3, 44, 6], Operations: []
Exploring Operation: 3*6=18, Resulting Numbers: [93, 44, 18]
Generated Node #0,0: 67:[93, 44, 18] Operation: 3*6=18
Exploring Operation: 93-3=90, Resulting Numbers: [44, 6, 90]
Generated Node #0,1: 67:[44, 6, 90] Operation: 93-3=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[93, 44, 18], Operations: ['3*6=18']
Exploring Operation: 44+18=62, Resulting Numbers: [93, 62]
Generated Node #0,0,0: 67:[93, 62] Operation: 44+18=62
Exploring Operation: 93-18=75, Resulting Numbers: [44, 75]
Generated Node #0,0,1: 67:[44, 75] Operation: 93-18=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[93, 62], Operations: ['3*6=18', '44+18=62']
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,67 unequal: No Solution
Exploring Operation: 93+62=155, Resulting Numbers: [155]
155,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[44, 75], Operations: ['3*6=18', '93-18=75']
Exploring Operation: 44+75=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[44, 6, 90], Operations: ['93-3=90']
Exploring Operation: 90-6=84, Resulting Numbers: [44, 84]
Generated Node #0,1,0: 67:[44, 84] Operation: 90-6=84
Exploring Operation: 44+6=50, Resulting Numbers: [90, 50]
Generated Node #0,1,1: 67:[90, 50] Operation: 44+6=50
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[44, 84], Operations: ['93-3=90', '90-6=84']
Exploring Operation: 44+84=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[90, 50], Operations: ['93-3=90', '44+6=50']
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,67 unequal: No Solution
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
24,
2,
90,
25
] | 43 | [
"24-2=22",
"90-25=65",
"65-22=43"
] | Current State: 43:[24, 2, 90, 25], Operations: []
Exploring Operation: 24-2=22, Resulting Numbers: [90, 25, 22]
Generated Node #2: [90, 25, 22] from Operation: 24-2=22
Current State: 43:[90, 25, 22], Operations: ['24-2=22']
Exploring Operation: 90-25=65, Resulting Numbers: [22, 65]
Generated Node #3: [22, 65] from Operation: 90-25=65
Current State: 43:[22, 65], Operations: ['24-2=22', '90-25=65']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[24, 2, 90, 25], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [24, 25, 45]
Generated Node #0,0: 43:[24, 25, 45] Operation: 90/2=45
Moving to Node #0,0
Current State: 43:[24, 25, 45], Operations: ['90/2=45']
Exploring Operation: 24+25=49, Resulting Numbers: [45, 49]
Generated Node #0,0,0: 43:[45, 49] Operation: 24+25=49
Moving to Node #0,0,0
Current State: 43:[45, 49], Operations: ['90/2=45', '24+25=49']
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,43 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
93,
76,
15,
56
] | 24 | [
"93-76=17",
"56-15=41",
"41-17=24"
] | Current State: 24:[93, 76, 15, 56], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [15, 56, 17]
Generated Node #2: [15, 56, 17] from Operation: 93-76=17
Current State: 24:[15, 56, 17], Operations: ['93-76=17']
Exploring Operation: 56-15=41, Resulting Numbers: [17, 41]
Generated Node #3: [17, 41] from Operation: 56-15=41
Current State: 24:[17, 41], Operations: ['93-76=17', '56-15=41']
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[93, 76, 15, 56], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [76, 56, 78]
Generated Node #0,0: 24:[76, 56, 78] Operation: 93-15=78
Exploring Operation: 76-15=61, Resulting Numbers: [93, 56, 61]
Generated Node #0,1: 24:[93, 56, 61] Operation: 76-15=61
Exploring Operation: 76-56=20, Resulting Numbers: [93, 15, 20]
Generated Node #0,2: 24:[93, 15, 20] Operation: 76-56=20
Exploring Operation: 93-56=37, Resulting Numbers: [76, 15, 37]
Generated Node #0,3: 24:[76, 15, 37] Operation: 93-56=37
Exploring Operation: 93-76=17, Resulting Numbers: [15, 56, 17]
Generated Node #0,4: 24:[15, 56, 17] Operation: 93-76=17
Moving to Node #0,4
Current State: 24:[15, 56, 17], Operations: ['93-76=17']
Exploring Operation: 15+17=32, Resulting Numbers: [56, 32]
Generated Node #0,4,0: 24:[56, 32] Operation: 15+17=32
Exploring Operation: 56-15=41, Resulting Numbers: [17, 41]
Generated Node #0,4,1: 24:[17, 41] Operation: 56-15=41
Exploring Operation: 15+56=71, Resulting Numbers: [17, 71]
Generated Node #0,4,2: 24:[17, 71] Operation: 15+56=71
Exploring Operation: 17-15=2, Resulting Numbers: [56, 2]
Generated Node #0,4,3: 24:[56, 2] Operation: 17-15=2
Exploring Operation: 56-17=39, Resulting Numbers: [15, 39]
Generated Node #0,4,4: 24:[15, 39] Operation: 56-17=39
Moving to Node #0,3
Current State: 24:[76, 15, 37], Operations: ['93-56=37']
Exploring Operation: 15+37=52, Resulting Numbers: [76, 52]
Generated Node #0,3,0: 24:[76, 52] Operation: 15+37=52
Exploring Operation: 37-15=22, Resulting Numbers: [76, 22]
Generated Node #0,3,1: 24:[76, 22] Operation: 37-15=22
Exploring Operation: 76+15=91, Resulting Numbers: [37, 91]
Generated Node #0,3,2: 24:[37, 91] Operation: 76+15=91
Exploring Operation: 76-15=61, Resulting Numbers: [37, 61]
Generated Node #0,3,3: 24:[37, 61] Operation: 76-15=61
Exploring Operation: 76-37=39, Resulting Numbers: [15, 39]
Generated Node #0,3,4: 24:[15, 39] Operation: 76-37=39
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 24:[15, 39], Operations: ['93-56=37', '76-37=39']
Exploring Operation: 15*39=585, Resulting Numbers: [585]
585,24 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[93, 76, 15, 56], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [76, 15, 37]
Generated Node #0,3: 24:[76, 15, 37] Operation: 93-56=37
Moving to Node #0,3
Current State: 24:[76, 15, 37], Operations: ['93-56=37']
Exploring Operation: 76-37=39, Resulting Numbers: [15, 39]
Generated Node #0,3,4: 24:[15, 39] Operation: 76-37=39
Moving to Node #0,3,4
Current State: 24:[15, 39], Operations: ['93-56=37', '76-37=39']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
3,
44,
61,
12
] | 53 | [
"3*12=36",
"61-44=17",
"36+17=53"
] | Current State: 53:[3, 44, 61, 12], Operations: []
Exploring Operation: 3*12=36, Resulting Numbers: [44, 61, 36]
Generated Node #2: [44, 61, 36] from Operation: 3*12=36
Current State: 53:[44, 61, 36], Operations: ['3*12=36']
Exploring Operation: 61-44=17, Resulting Numbers: [36, 17]
Generated Node #3: [36, 17] from Operation: 61-44=17
Current State: 53:[36, 17], Operations: ['3*12=36', '61-44=17']
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[3, 44, 61, 12], Operations: []
Exploring Operation: 3+44=47, Resulting Numbers: [61, 12, 47]
Generated Node #0,0: 53:[61, 12, 47] Operation: 3+44=47
Exploring Operation: 3*12=36, Resulting Numbers: [44, 61, 36]
Generated Node #0,1: 53:[44, 61, 36] Operation: 3*12=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[44, 61, 36], Operations: ['3*12=36']
Exploring Operation: 61-36=25, Resulting Numbers: [44, 25]
Generated Node #0,1,0: 53:[44, 25] Operation: 61-36=25
Exploring Operation: 44+36=80, Resulting Numbers: [61, 80]
Generated Node #0,1,1: 53:[61, 80] Operation: 44+36=80
Moving to Node #0,1,1
Current State: 53:[61, 80], Operations: ['3*12=36', '44+36=80']
Exploring Operation: 61+80=141, Resulting Numbers: [141]
141,53 unequal: No Solution
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[44, 25], Operations: ['3*12=36', '61-36=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,53 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[61, 12, 47], Operations: ['3+44=47']
Exploring Operation: 12+47=59, Resulting Numbers: [61, 59]
Generated Node #0,0,0: 53:[61, 59] Operation: 12+47=59
Exploring Operation: 61-12=49, Resulting Numbers: [47, 49]
Generated Node #0,0,1: 53:[47, 49] Operation: 61-12=49
Moving to Node #0,0,1
Current State: 53:[47, 49], Operations: ['3+44=47', '61-12=49']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[61, 59], Operations: ['3+44=47', '12+47=59']
Exploring Operation: 61-59=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 61+59=120, Resulting Numbers: [120]
120,53 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 |
[
78,
4,
10,
86
] | 32 | [
"86-78=8",
"4*10=40",
"40-8=32"
] | Current State: 32:[78, 4, 10, 86], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [4, 10, 8]
Generated Node #2: [4, 10, 8] from Operation: 86-78=8
Current State: 32:[4, 10, 8], Operations: ['86-78=8']
Exploring Operation: 4*10=40, Resulting Numbers: [8, 40]
Generated Node #3: [8, 40] from Operation: 4*10=40
Current State: 32:[8, 40], Operations: ['86-78=8', '4*10=40']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[78, 4, 10, 86], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [4, 10, 8]
Generated Node #0,0: 32:[4, 10, 8] Operation: 86-78=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[4, 10, 8], Operations: ['86-78=8']
Exploring Operation: 10-8=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 32:[4, 2] Operation: 10-8=2
Moving to Node #0,0,0
Current State: 32:[4, 2], Operations: ['86-78=8', '10-8=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,32 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 |
[
80,
35,
28,
66
] | 77 | [
"80+35=115",
"66-28=38",
"115-38=77"
] | Current State: 77:[80, 35, 28, 66], Operations: []
Exploring Operation: 80+35=115, Resulting Numbers: [28, 66, 115]
Generated Node #2: [28, 66, 115] from Operation: 80+35=115
Current State: 77:[28, 66, 115], Operations: ['80+35=115']
Exploring Operation: 66-28=38, Resulting Numbers: [115, 38]
Generated Node #3: [115, 38] from Operation: 66-28=38
Current State: 77:[115, 38], Operations: ['80+35=115', '66-28=38']
Exploring Operation: 115-38=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[80, 35, 28, 66], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [80, 66, 7]
Generated Node #0,0: 77:[80, 66, 7] Operation: 35-28=7
Exploring Operation: 35+28=63, Resulting Numbers: [80, 66, 63]
Generated Node #0,1: 77:[80, 66, 63] Operation: 35+28=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[80, 66, 7], Operations: ['35-28=7']
Exploring Operation: 80-66=14, Resulting Numbers: [7, 14]
Generated Node #0,0,0: 77:[7, 14] Operation: 80-66=14
Exploring Operation: 66+7=73, Resulting Numbers: [80, 73]
Generated Node #0,0,1: 77:[80, 73] Operation: 66+7=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[7, 14], Operations: ['35-28=7', '80-66=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[80, 73], Operations: ['35-28=7', '66+7=73']
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 80+73=153, Resulting Numbers: [153]
153,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[80, 66, 63], Operations: ['35+28=63']
Exploring Operation: 66-63=3, Resulting Numbers: [80, 3]
Generated Node #0,1,0: 77:[80, 3] Operation: 66-63=3
Exploring Operation: 80-66=14, Resulting Numbers: [63, 14]
Generated Node #0,1,1: 77:[63, 14] Operation: 80-66=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[80, 3], Operations: ['35+28=63', '66-63=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,77 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[80, 35, 28, 66], Operations: []
Exploring Operation: 35+28=63, Resulting Numbers: [80, 66, 63]
Generated Node #0,1: 77:[80, 66, 63] Operation: 35+28=63
Moving to Node #0,1
Current State: 77:[80, 66, 63], Operations: ['35+28=63']
Exploring Operation: 66-63=3, Resulting Numbers: [80, 3]
Generated Node #0,1,0: 77:[80, 3] Operation: 66-63=3
Moving to Node #0,1,0
Current State: 77:[80, 3], Operations: ['35+28=63', '66-63=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
82,
78,
78,
42
] | 90 | [
"82-78=4",
"42*4=168",
"168-78=90"
] | Current State: 90:[82, 78, 78, 42], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [42, 4]
Generated Node #2: [42, 4] from Operation: 82-78=4
Current State: 90:[42, 4], Operations: ['82-78=4']
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,90 equal: Goal Reached
Exploring Operation: 168-78=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[82, 78, 78, 42], Operations: []
Exploring Operation: 78-78=0, Resulting Numbers: [82, 42, 0]
Generated Node #0,0: 90:[82, 42, 0] Operation: 78-78=0
Exploring Operation: 78/78=1, Resulting Numbers: [82, 42, 1]
Generated Node #0,1: 90:[82, 42, 1] Operation: 78/78=1
Exploring Operation: 82-78=4, Resulting Numbers: [78, 42, 4]
Generated Node #0,2: 90:[78, 42, 4] Operation: 82-78=4
Exploring Operation: 82-78=4, Resulting Numbers: [78, 42, 4]
Generated Node #0,3: 90:[78, 42, 4] Operation: 82-78=4
Moving to Node #0,1
Current State: 90:[82, 42, 1], Operations: ['78/78=1']
Exploring Operation: 82*1=82, Resulting Numbers: [42, 82]
Generated Node #0,1,0: 90:[42, 82] Operation: 82*1=82
Exploring Operation: 42+1=43, Resulting Numbers: [82, 43]
Generated Node #0,1,1: 90:[82, 43] Operation: 42+1=43
Exploring Operation: 82+1=83, Resulting Numbers: [42, 83]
Generated Node #0,1,2: 90:[42, 83] Operation: 82+1=83
Exploring Operation: 82-42=40, Resulting Numbers: [1, 40]
Generated Node #0,1,3: 90:[1, 40] Operation: 82-42=40
Moving to Node #0,0
Current State: 90:[82, 42, 0], Operations: ['78-78=0']
Exploring Operation: 82-42=40, Resulting Numbers: [0, 40]
Generated Node #0,0,0: 90:[0, 40] Operation: 82-42=40
Exploring Operation: 42*0=0, Resulting Numbers: [82, 0]
Generated Node #0,0,1: 90:[82, 0] Operation: 42*0=0
Exploring Operation: 82+0=82, Resulting Numbers: [42, 82]
Generated Node #0,0,2: 90:[42, 82] Operation: 82+0=82
Exploring Operation: 82*0=0, Resulting Numbers: [42, 0]
Generated Node #0,0,3: 90:[42, 0] Operation: 82*0=0
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 90:[42, 0], Operations: ['78-78=0', '82*0=0']
Exploring Operation: 42*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 42-0=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 42+0=42, Resulting Numbers: [42]
42,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[0, 40], Operations: ['78-78=0', '82-42=40']
Exploring Operation: 0*40=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 0+40=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Exploring Operation: 40-0=40, Resulting Numbers: [40]
40,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[82, 0], Operations: ['78-78=0', '42*0=0']
Exploring Operation: 82-0=82, Resulting Numbers: [82]
82,90 unequal: No Solution
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,90 unequal: No Solution
Exploring Operation: 82*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 90:[42, 82], Operations: ['78-78=0', '82+0=82']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Exploring Operation: 42*82=3444, Resulting Numbers: [3444]
3444,90 unequal: No Solution
Exploring Operation: 42+82=124, Resulting Numbers: [124]
124,90 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: 90:[78, 42, 4], Operations: ['82-78=4']
Exploring Operation: 42+4=46, Resulting Numbers: [78, 46]
Generated Node #0,3,0: 90:[78, 46] Operation: 42+4=46
Exploring Operation: 78+4=82, Resulting Numbers: [42, 82]
Generated Node #0,3,1: 90:[42, 82] Operation: 78+4=82
Exploring Operation: 78-4=74, Resulting Numbers: [42, 74]
Generated Node #0,3,2: 90:[42, 74] Operation: 78-4=74
Exploring Operation: 78-42=36, Resulting Numbers: [4, 36]
Generated Node #0,3,3: 90:[4, 36] Operation: 78-42=36
Moving to Node #0,2
Current State: 90:[78, 42, 4], Operations: ['82-78=4']
Exploring Operation: 78-42=36, Resulting Numbers: [4, 36]
Generated Node #0,2,0: 90:[4, 36] Operation: 78-42=36
Exploring Operation: 78-4=74, Resulting Numbers: [42, 74]
Generated Node #0,2,1: 90:[42, 74] Operation: 78-4=74
Exploring Operation: 42+4=46, Resulting Numbers: [78, 46]
Generated Node #0,2,2: 90:[78, 46] Operation: 42+4=46
Exploring Operation: 78+4=82, Resulting Numbers: [42, 82]
Generated Node #0,2,3: 90:[42, 82] Operation: 78+4=82
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 90:[4, 36], Operations: ['82-78=4', '78-42=36']
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,90 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 #0,2,3
Current State: 90:[42, 82], Operations: ['82-78=4', '78+4=82']
Exploring Operation: 42*82=3444, Resulting Numbers: [3444]
3444,90 unequal: No Solution
Exploring Operation: 42+82=124, Resulting Numbers: [124]
124,90 unequal: No Solution
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,90 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 #0,2,2
Current State: 90:[78, 46], Operations: ['82-78=4', '42+4=46']
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,90 unequal: No Solution
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,90 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 90:[42, 74], Operations: ['82-78=4', '78-4=74']
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,90 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 90:[1, 40], Operations: ['78/78=1', '82-42=40']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[4, 36], Operations: ['82-78=4', '78-42=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[42, 83], Operations: ['78/78=1', '82+1=83']
Exploring Operation: 42+83=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 42*83=3486, Resulting Numbers: [3486]
3486,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[82, 43], Operations: ['78/78=1', '42+1=43']
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Exploring Operation: 82*43=3526, Resulting Numbers: [3526]
3526,90 unequal: No Solution
Exploring Operation: 82+43=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[42, 82], Operations: ['82-78=4', '78+4=82']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Exploring Operation: 42*82=3444, Resulting Numbers: [3444]
3444,90 unequal: No Solution
Exploring Operation: 42+82=124, Resulting Numbers: [124]
124,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[42, 82], Operations: ['78/78=1', '82*1=82']
Exploring Operation: 42*82=3444, Resulting Numbers: [3444]
3444,90 unequal: No Solution
Exploring Operation: 42+82=124, Resulting Numbers: [124]
124,90 unequal: No Solution
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[78, 46], Operations: ['82-78=4', '42+4=46']
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,90 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[42, 74], Operations: ['82-78=4', '78-4=74']
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,90 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,90 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
83,
42,
6,
88
] | 31 | [
"83+42=125",
"6+88=94",
"125-94=31"
] | Current State: 31:[83, 42, 6, 88], Operations: []
Exploring Operation: 83+42=125, Resulting Numbers: [6, 88, 125]
Generated Node #2: [6, 88, 125] from Operation: 83+42=125
Current State: 31:[6, 88, 125], Operations: ['83+42=125']
Exploring Operation: 6+88=94, Resulting Numbers: [125, 94]
Generated Node #3: [125, 94] from Operation: 6+88=94
Current State: 31:[125, 94], Operations: ['83+42=125', '6+88=94']
Exploring Operation: 125-94=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[83, 42, 6, 88], Operations: []
Exploring Operation: 83-42=41, Resulting Numbers: [6, 88, 41]
Generated Node #0,0: 31:[6, 88, 41] Operation: 83-42=41
Exploring Operation: 88-83=5, Resulting Numbers: [42, 6, 5]
Generated Node #0,1: 31:[42, 6, 5] Operation: 88-83=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[42, 6, 5], Operations: ['88-83=5']
Exploring Operation: 6*5=30, Resulting Numbers: [42, 30]
Generated Node #0,1,0: 31:[42, 30] Operation: 6*5=30
Exploring Operation: 42-6=36, Resulting Numbers: [5, 36]
Generated Node #0,1,1: 31:[5, 36] Operation: 42-6=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[42, 30], Operations: ['88-83=5', '6*5=30']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,31 unequal: No Solution
No 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: 31:[5, 36], Operations: ['88-83=5', '42-6=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[83, 42, 6, 88], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [42, 6, 5]
Generated Node #0,1: 31:[42, 6, 5] Operation: 88-83=5
Moving to Node #0,1
Current State: 31:[42, 6, 5], Operations: ['88-83=5']
Exploring Operation: 42-6=36, Resulting Numbers: [5, 36]
Generated Node #0,1,1: 31:[5, 36] Operation: 42-6=36
Moving to Node #0,1,1
Current State: 31:[5, 36], Operations: ['88-83=5', '42-6=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
72,
65,
22,
3
] | 73 | [
"72-65=7",
"22*3=66",
"7+66=73"
] | Current State: 73:[72, 65, 22, 3], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [22, 3, 7]
Generated Node #2: [22, 3, 7] from Operation: 72-65=7
Current State: 73:[22, 3, 7], Operations: ['72-65=7']
Exploring Operation: 22*3=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 22*3=66
Current State: 73:[7, 66], Operations: ['72-65=7', '22*3=66']
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[72, 65, 22, 3], Operations: []
Exploring Operation: 22*3=66, Resulting Numbers: [72, 65, 66]
Generated Node #0,0: 73:[72, 65, 66] Operation: 22*3=66
Exploring Operation: 65+3=68, Resulting Numbers: [72, 22, 68]
Generated Node #0,1: 73:[72, 22, 68] Operation: 65+3=68
Exploring Operation: 72+3=75, Resulting Numbers: [65, 22, 75]
Generated Node #0,2: 73:[65, 22, 75] Operation: 72+3=75
Exploring Operation: 22+3=25, Resulting Numbers: [72, 65, 25]
Generated Node #0,3: 73:[72, 65, 25] Operation: 22+3=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[72, 65, 66], Operations: ['22*3=66']
Exploring Operation: 72-65=7, Resulting Numbers: [66, 7]
Generated Node #0,0,0: 73:[66, 7] Operation: 72-65=7
Exploring Operation: 72+65=137, Resulting Numbers: [66, 137]
Generated Node #0,0,1: 73:[66, 137] Operation: 72+65=137
Exploring Operation: 72+66=138, Resulting Numbers: [65, 138]
Generated Node #0,0,2: 73:[65, 138] Operation: 72+66=138
Exploring Operation: 65+66=131, Resulting Numbers: [72, 131]
Generated Node #0,0,3: 73:[72, 131] Operation: 65+66=131
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 73:[72, 131], Operations: ['22*3=66', '65+66=131']
Exploring Operation: 131-72=59, Resulting Numbers: [59]
59,73 unequal: No Solution
Exploring Operation: 72+131=203, Resulting Numbers: [203]
203,73 unequal: No Solution
Exploring Operation: 72*131=9432, Resulting Numbers: [9432]
9432,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[66, 137], Operations: ['22*3=66', '72+65=137']
Exploring Operation: 66+137=203, Resulting Numbers: [203]
203,73 unequal: No Solution
Exploring Operation: 66*137=9042, Resulting Numbers: [9042]
9042,73 unequal: No Solution
Exploring Operation: 137-66=71, Resulting Numbers: [71]
71,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[66, 7], Operations: ['22*3=66', '72-65=7']
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,73 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[72, 65, 22, 3], Operations: []
Exploring Operation: 22*3=66, Resulting Numbers: [72, 65, 66]
Generated Node #0,0: 73:[72, 65, 66] Operation: 22*3=66
Moving to Node #0,0
Current State: 73:[72, 65, 66], Operations: ['22*3=66']
Exploring Operation: 72-65=7, Resulting Numbers: [66, 7]
Generated Node #0,0,0: 73:[66, 7] Operation: 72-65=7
Moving to Node #0,0,0
Current State: 73:[66, 7], Operations: ['22*3=66', '72-65=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
22,
2,
90,
42
] | 90 | [
"42/2=21",
"22-21=1",
"90*1=90"
] | Current State: 90:[22, 2, 90, 42], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [22, 90, 21]
Generated Node #2: [22, 90, 21] from Operation: 42/2=21
Current State: 90:[22, 90, 21], Operations: ['42/2=21']
Exploring Operation: 22-21=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 22-21=1
Current State: 90:[90, 1], Operations: ['42/2=21', '22-21=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[22, 2, 90, 42], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [2, 90, 20]
Generated Node #0,0: 90:[2, 90, 20] Operation: 42-22=20
Exploring Operation: 22*2=44, Resulting Numbers: [90, 42, 44]
Generated Node #0,1: 90:[90, 42, 44] Operation: 22*2=44
Moving to Node #0,0
Current State: 90:[2, 90, 20], Operations: ['42-22=20']
Exploring Operation: 20/2=10, Resulting Numbers: [90, 10]
Generated Node #0,0,0: 90:[90, 10] Operation: 20/2=10
Exploring Operation: 20-2=18, Resulting Numbers: [90, 18]
Generated Node #0,0,1: 90:[90, 18] Operation: 20-2=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[90, 10], Operations: ['42-22=20', '20/2=10']
Exploring Operation: 90+10=100, Resulting Numbers: [100]
100,90 unequal: No Solution
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[90, 18], Operations: ['42-22=20', '20-2=18']
Exploring Operation: 90+18=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 90:[90, 42, 44], Operations: ['22*2=44']
Exploring Operation: 90-42=48, Resulting Numbers: [44, 48]
Generated Node #0,1,0: 90:[44, 48] Operation: 90-42=48
Exploring Operation: 44-42=2, Resulting Numbers: [90, 2]
Generated Node #0,1,1: 90:[90, 2] Operation: 44-42=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[90, 2], Operations: ['22*2=44', '44-42=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[44, 48], Operations: ['22*2=44', '90-42=48']
Exploring Operation: 44+48=92, Resulting Numbers: [92]
92,90 unequal: No Solution
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,90 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 |
[
14,
99,
43,
22
] | 92 | [
"14+99=113",
"43-22=21",
"113-21=92"
] | Current State: 92:[14, 99, 43, 22], Operations: []
Exploring Operation: 14+99=113, Resulting Numbers: [43, 22, 113]
Generated Node #2: [43, 22, 113] from Operation: 14+99=113
Current State: 92:[43, 22, 113], Operations: ['14+99=113']
Exploring Operation: 43-22=21, Resulting Numbers: [113, 21]
Generated Node #3: [113, 21] from Operation: 43-22=21
Current State: 92:[113, 21], Operations: ['14+99=113', '43-22=21']
Exploring Operation: 113-21=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[14, 99, 43, 22], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [99, 43, 8]
Generated Node #0,0: 92:[99, 43, 8] Operation: 22-14=8
Exploring Operation: 99-14=85, Resulting Numbers: [43, 22, 85]
Generated Node #0,1: 92:[43, 22, 85] Operation: 99-14=85
Exploring Operation: 43-14=29, Resulting Numbers: [99, 22, 29]
Generated Node #0,2: 92:[99, 22, 29] Operation: 43-14=29
Exploring Operation: 43-22=21, Resulting Numbers: [14, 99, 21]
Generated Node #0,3: 92:[14, 99, 21] Operation: 43-22=21
Moving to Node #0,1
Current State: 92:[43, 22, 85], Operations: ['99-14=85']
Exploring Operation: 43-22=21, Resulting Numbers: [85, 21]
Generated Node #0,1,0: 92:[85, 21] Operation: 43-22=21
Exploring Operation: 85-43=42, Resulting Numbers: [22, 42]
Generated Node #0,1,1: 92:[22, 42] Operation: 85-43=42
Exploring Operation: 85-22=63, Resulting Numbers: [43, 63]
Generated Node #0,1,2: 92:[43, 63] Operation: 85-22=63
Exploring Operation: 22+85=107, Resulting Numbers: [43, 107]
Generated Node #0,1,3: 92:[43, 107] Operation: 22+85=107
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[22, 42], Operations: ['99-14=85', '85-43=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,92 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[85, 21], Operations: ['99-14=85', '43-22=21']
Exploring Operation: 85+21=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Exploring Operation: 85*21=1785, Resulting Numbers: [1785]
1785,92 unequal: No Solution
Exploring Operation: 85-21=64, Resulting Numbers: [64]
64,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[43, 107], Operations: ['99-14=85', '22+85=107']
Exploring Operation: 107-43=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 43*107=4601, Resulting Numbers: [4601]
4601,92 unequal: No Solution
Exploring Operation: 43+107=150, Resulting Numbers: [150]
150,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 92:[43, 63], Operations: ['99-14=85', '85-22=63']
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 43+63=106, Resulting Numbers: [106]
106,92 unequal: No Solution
Exploring Operation: 43*63=2709, Resulting Numbers: [2709]
2709,92 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: 92:[99, 22, 29], Operations: ['43-14=29']
Exploring Operation: 29-22=7, Resulting Numbers: [99, 7]
Generated Node #0,2,0: 92:[99, 7] Operation: 29-22=7
Exploring Operation: 99-22=77, Resulting Numbers: [29, 77]
Generated Node #0,2,1: 92:[29, 77] Operation: 99-22=77
Exploring Operation: 22+29=51, Resulting Numbers: [99, 51]
Generated Node #0,2,2: 92:[99, 51] Operation: 22+29=51
Exploring Operation: 99-29=70, Resulting Numbers: [22, 70]
Generated Node #0,2,3: 92:[22, 70] Operation: 99-29=70
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[99, 7], Operations: ['43-14=29', '29-22=7']
Exploring Operation: 99*7=693, Resulting Numbers: [693]
693,92 unequal: No Solution
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[14, 99, 43, 22], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [99, 22, 29]
Generated Node #0,2: 92:[99, 22, 29] Operation: 43-14=29
Moving to Node #0,2
Current State: 92:[99, 22, 29], Operations: ['43-14=29']
Exploring Operation: 29-22=7, Resulting Numbers: [99, 7]
Generated Node #0,2,0: 92:[99, 7] Operation: 29-22=7
Moving to Node #0,2,0
Current State: 92:[99, 7], Operations: ['43-14=29', '29-22=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
60,
6,
15,
42
] | 62 | [
"6+15=21",
"42/21=2",
"60+2=62"
] | Current State: 62:[60, 6, 15, 42], Operations: []
Exploring Operation: 6+15=21, Resulting Numbers: [60, 42, 21]
Generated Node #2: [60, 42, 21] from Operation: 6+15=21
Current State: 62:[60, 42, 21], Operations: ['6+15=21']
Exploring Operation: 42/21=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 42/21=2
Current State: 62:[60, 2], Operations: ['6+15=21', '42/21=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[60, 6, 15, 42], Operations: []
Exploring Operation: 42-15=27, Resulting Numbers: [60, 6, 27]
Generated Node #0,0: 62:[60, 6, 27] Operation: 42-15=27
Exploring Operation: 15+42=57, Resulting Numbers: [60, 6, 57]
Generated Node #0,1: 62:[60, 6, 57] Operation: 15+42=57
Moving to Node #0,0
Current State: 62:[60, 6, 27], Operations: ['42-15=27']
Exploring Operation: 60-27=33, Resulting Numbers: [6, 33]
Generated Node #0,0,0: 62:[6, 33] Operation: 60-27=33
Exploring Operation: 6+27=33, Resulting Numbers: [60, 33]
Generated Node #0,0,1: 62:[60, 33] Operation: 6+27=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[60, 33], Operations: ['42-15=27', '6+27=33']
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[6, 33], Operations: ['42-15=27', '60-27=33']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 62:[60, 6, 57], Operations: ['15+42=57']
Exploring Operation: 6+57=63, Resulting Numbers: [60, 63]
Generated Node #0,1,0: 62:[60, 63] Operation: 6+57=63
Exploring Operation: 60-57=3, Resulting Numbers: [6, 3]
Generated Node #0,1,1: 62:[6, 3] Operation: 60-57=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[60, 63], Operations: ['15+42=57', '6+57=63']
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 60+63=123, Resulting Numbers: [123]
123,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[6, 3], Operations: ['15+42=57', '60-57=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,62 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 |
[
8,
5,
56,
37
] | 39 | [
"56/8=7",
"37-5=32",
"7+32=39"
] | Current State: 39:[8, 5, 56, 37], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [5, 37, 7]
Generated Node #2: [5, 37, 7] from Operation: 56/8=7
Current State: 39:[5, 37, 7], Operations: ['56/8=7']
Exploring Operation: 37-5=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 37-5=32
Current State: 39:[7, 32], Operations: ['56/8=7', '37-5=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[8, 5, 56, 37], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [56, 37, 3]
Generated Node #0,0: 39:[56, 37, 3] Operation: 8-5=3
Exploring Operation: 56-37=19, Resulting Numbers: [8, 5, 19]
Generated Node #0,1: 39:[8, 5, 19] Operation: 56-37=19
Exploring Operation: 8+5=13, Resulting Numbers: [56, 37, 13]
Generated Node #0,2: 39:[56, 37, 13] Operation: 8+5=13
Exploring Operation: 56-8=48, Resulting Numbers: [5, 37, 48]
Generated Node #0,3: 39:[5, 37, 48] Operation: 56-8=48
Exploring Operation: 56/8=7, Resulting Numbers: [5, 37, 7]
Generated Node #0,4: 39:[5, 37, 7] Operation: 56/8=7
Start Sub Search at level 1: Moving to Node #0,4
Current State: 39:[5, 37, 7], Operations: ['56/8=7']
Exploring Operation: 5+7=12, Resulting Numbers: [37, 12]
Generated Node #0,4,0: 39:[37, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [37, 2]
Generated Node #0,4,1: 39:[37, 2] Operation: 7-5=2
Exploring Operation: 37+7=44, Resulting Numbers: [5, 44]
Generated Node #0,4,2: 39:[5, 44] Operation: 37+7=44
Exploring Operation: 5+37=42, Resulting Numbers: [7, 42]
Generated Node #0,4,3: 39:[7, 42] Operation: 5+37=42
Exploring Operation: 5*7=35, Resulting Numbers: [37, 35]
Generated Node #0,4,4: 39:[37, 35] Operation: 5*7=35
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 39:[37, 12], Operations: ['56/8=7', '5+7=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,39 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,39 unequal: No Solution
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,39 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 #0,4,1
Current State: 39:[37, 2], Operations: ['56/8=7', '7-5=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,39 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[8, 5, 56, 37], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [5, 37, 7]
Generated Node #0,4: 39:[5, 37, 7] Operation: 56/8=7
Moving to Node #0,4
Current State: 39:[5, 37, 7], Operations: ['56/8=7']
Exploring Operation: 7-5=2, Resulting Numbers: [37, 2]
Generated Node #0,4,1: 39:[37, 2] Operation: 7-5=2
Moving to Node #0,4,1
Current State: 39:[37, 2], Operations: ['56/8=7', '7-5=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
87,
6,
57,
61
] | 58 | [
"61-57=4",
"87*4=348",
"348/6=58"
] | Current State: 58:[87, 6, 57, 61], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [87, 6, 4]
Generated Node #2: [87, 6, 4] from Operation: 61-57=4
Current State: 58:[87, 6, 4], Operations: ['61-57=4']
Exploring Operation: 87*4=348, Resulting Numbers: [6, 348]
Generated Node #3: [6, 348] from Operation: 87*4=348
Current State: 58:[6, 348], Operations: ['61-57=4', '87*4=348']
Exploring Operation: 348/6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[87, 6, 57, 61], Operations: []
Exploring Operation: 87-57=30, Resulting Numbers: [6, 61, 30]
Generated Node #0,0: 58:[6, 61, 30] Operation: 87-57=30
Moving to Node #0,0
Current State: 58:[6, 61, 30], Operations: ['87-57=30']
Exploring Operation: 61-6=55, Resulting Numbers: [30, 55]
Generated Node #0,0,0: 58:[30, 55] Operation: 61-6=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[30, 55], Operations: ['87-57=30', '61-6=55']
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
82,
28,
12,
87
] | 35 | [
"82+28=110",
"87-12=75",
"110-75=35"
] | Current State: 35:[82, 28, 12, 87], Operations: []
Exploring Operation: 82+28=110, Resulting Numbers: [12, 87, 110]
Generated Node #2: [12, 87, 110] from Operation: 82+28=110
Current State: 35:[12, 87, 110], Operations: ['82+28=110']
Exploring Operation: 87-12=75, Resulting Numbers: [110, 75]
Generated Node #3: [110, 75] from Operation: 87-12=75
Current State: 35:[110, 75], Operations: ['82+28=110', '87-12=75']
Exploring Operation: 110-75=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[82, 28, 12, 87], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [28, 12, 5]
Generated Node #0,0: 35:[28, 12, 5] Operation: 87-82=5
Exploring Operation: 82-28=54, Resulting Numbers: [12, 87, 54]
Generated Node #0,1: 35:[12, 87, 54] Operation: 82-28=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[28, 12, 5], Operations: ['87-82=5']
Exploring Operation: 28+5=33, Resulting Numbers: [12, 33]
Generated Node #0,0,0: 35:[12, 33] Operation: 28+5=33
Exploring Operation: 28+12=40, Resulting Numbers: [5, 40]
Generated Node #0,0,1: 35:[5, 40] Operation: 28+12=40
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[5, 40], Operations: ['87-82=5', '28+12=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[82, 28, 12, 87], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [28, 12, 5]
Generated Node #0,0: 35:[28, 12, 5] Operation: 87-82=5
Moving to Node #0,0
Current State: 35:[28, 12, 5], Operations: ['87-82=5']
Exploring Operation: 28+12=40, Resulting Numbers: [5, 40]
Generated Node #0,0,1: 35:[5, 40] Operation: 28+12=40
Moving to Node #0,0,1
Current State: 35:[5, 40], Operations: ['87-82=5', '28+12=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
99,
86,
6,
25
] | 32 | [
"99-86=13",
"25-6=19",
"13+19=32"
] | Current State: 32:[99, 86, 6, 25], Operations: []
Exploring Operation: 99-86=13, Resulting Numbers: [6, 25, 13]
Generated Node #2: [6, 25, 13] from Operation: 99-86=13
Current State: 32:[6, 25, 13], Operations: ['99-86=13']
Exploring Operation: 25-6=19, Resulting Numbers: [13, 19]
Generated Node #3: [13, 19] from Operation: 25-6=19
Current State: 32:[13, 19], Operations: ['99-86=13', '25-6=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[99, 86, 6, 25], Operations: []
Exploring Operation: 86-25=61, Resulting Numbers: [99, 6, 61]
Generated Node #0,0: 32:[99, 6, 61] Operation: 86-25=61
Exploring Operation: 99-86=13, Resulting Numbers: [6, 25, 13]
Generated Node #0,1: 32:[6, 25, 13] Operation: 99-86=13
Exploring Operation: 99-25=74, Resulting Numbers: [86, 6, 74]
Generated Node #0,2: 32:[86, 6, 74] Operation: 99-25=74
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[6, 25, 13], Operations: ['99-86=13']
Exploring Operation: 25-13=12, Resulting Numbers: [6, 12]
Generated Node #0,1,0: 32:[6, 12] Operation: 25-13=12
Exploring Operation: 6+25=31, Resulting Numbers: [13, 31]
Generated Node #0,1,1: 32:[13, 31] Operation: 6+25=31
Exploring Operation: 25-6=19, Resulting Numbers: [13, 19]
Generated Node #0,1,2: 32:[13, 19] Operation: 25-6=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[13, 31], Operations: ['99-86=13', '6+25=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,32 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,32 unequal: No Solution
No 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: 32:[6, 12], Operations: ['99-86=13', '25-13=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,32 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,32 unequal: No Solution
No 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: 32:[13, 19], Operations: ['99-86=13', '25-6=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[99, 86, 6, 25], Operations: []
Exploring Operation: 99-86=13, Resulting Numbers: [6, 25, 13]
Generated Node #0,1: 32:[6, 25, 13] Operation: 99-86=13
Moving to Node #0,1
Current State: 32:[6, 25, 13], Operations: ['99-86=13']
Exploring Operation: 25-6=19, Resulting Numbers: [13, 19]
Generated Node #0,1,2: 32:[13, 19] Operation: 25-6=19
Moving to Node #0,1,2
Current State: 32:[13, 19], Operations: ['99-86=13', '25-6=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
73,
17,
51,
99
] | 94 | [
"73-17=56",
"51+99=150",
"150-56=94"
] | Current State: 94:[73, 17, 51, 99], Operations: []
Exploring Operation: 73-17=56, Resulting Numbers: [51, 99, 56]
Generated Node #2: [51, 99, 56] from Operation: 73-17=56
Current State: 94:[51, 99, 56], Operations: ['73-17=56']
Exploring Operation: 51+99=150, Resulting Numbers: [56, 150]
Generated Node #3: [56, 150] from Operation: 51+99=150
Current State: 94:[56, 150], Operations: ['73-17=56', '51+99=150']
Exploring Operation: 150-56=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[73, 17, 51, 99], Operations: []
Exploring Operation: 73+17=90, Resulting Numbers: [51, 99, 90]
Generated Node #0,0: 94:[51, 99, 90] Operation: 73+17=90
Exploring Operation: 73-17=56, Resulting Numbers: [51, 99, 56]
Generated Node #0,1: 94:[51, 99, 56] Operation: 73-17=56
Exploring Operation: 51/17=3, Resulting Numbers: [73, 99, 3]
Generated Node #0,2: 94:[73, 99, 3] Operation: 51/17=3
Exploring Operation: 99-51=48, Resulting Numbers: [73, 17, 48]
Generated Node #0,3: 94:[73, 17, 48] Operation: 99-51=48
Exploring Operation: 99-17=82, Resulting Numbers: [73, 51, 82]
Generated Node #0,4: 94:[73, 51, 82] Operation: 99-17=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[51, 99, 90], Operations: ['73+17=90']
Exploring Operation: 99-90=9, Resulting Numbers: [51, 9]
Generated Node #0,0,0: 94:[51, 9] Operation: 99-90=9
Exploring Operation: 51+90=141, Resulting Numbers: [99, 141]
Generated Node #0,0,1: 94:[99, 141] Operation: 51+90=141
Exploring Operation: 51+99=150, Resulting Numbers: [90, 150]
Generated Node #0,0,2: 94:[90, 150] Operation: 51+99=150
Exploring Operation: 99-51=48, Resulting Numbers: [90, 48]
Generated Node #0,0,3: 94:[90, 48] Operation: 99-51=48
Exploring Operation: 90-51=39, Resulting Numbers: [99, 39]
Generated Node #0,0,4: 94:[99, 39] Operation: 90-51=39
Moving to Node #0,0,3
Current State: 94:[90, 48], Operations: ['73+17=90', '99-51=48']
Exploring Operation: 90+48=138, Resulting Numbers: [138]
138,94 unequal: No Solution
Exploring Operation: 90*48=4320, Resulting Numbers: [4320]
4320,94 unequal: No Solution
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[51, 9], Operations: ['73+17=90', '99-90=9']
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Exploring Operation: 51*9=459, Resulting Numbers: [459]
459,94 unequal: No Solution
Moving to Node #0,0,4
Current State: 94:[99, 39], Operations: ['73+17=90', '90-51=39']
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 99*39=3861, Resulting Numbers: [3861]
3861,94 unequal: No Solution
Exploring Operation: 99+39=138, Resulting Numbers: [138]
138,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[99, 141], Operations: ['73+17=90', '51+90=141']
Exploring Operation: 99+141=240, Resulting Numbers: [240]
240,94 unequal: No Solution
Exploring Operation: 141-99=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Exploring Operation: 99*141=13959, Resulting Numbers: [13959]
13959,94 unequal: No Solution
Moving to Node #0,0,2
Current State: 94:[90, 150], Operations: ['73+17=90', '51+99=150']
Exploring Operation: 150-90=60, Resulting Numbers: [60]
60,94 unequal: No Solution
Exploring Operation: 90+150=240, Resulting Numbers: [240]
240,94 unequal: No Solution
Exploring Operation: 90*150=13500, Resulting Numbers: [13500]
13500,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[51, 99, 56], Operations: ['73-17=56']
Exploring Operation: 99-56=43, Resulting Numbers: [51, 43]
Generated Node #0,1,0: 94:[51, 43] Operation: 99-56=43
Exploring Operation: 99-51=48, Resulting Numbers: [56, 48]
Generated Node #0,1,1: 94:[56, 48] Operation: 99-51=48
Exploring Operation: 51+56=107, Resulting Numbers: [99, 107]
Generated Node #0,1,2: 94:[99, 107] Operation: 51+56=107
Exploring Operation: 51+99=150, Resulting Numbers: [56, 150]
Generated Node #0,1,3: 94:[56, 150] Operation: 51+99=150
Exploring Operation: 56-51=5, Resulting Numbers: [99, 5]
Generated Node #0,1,4: 94:[99, 5] Operation: 56-51=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[51, 43], Operations: ['73-17=56', '99-56=43']
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 51*43=2193, Resulting Numbers: [2193]
2193,94 unequal: No Solution
Exploring Operation: 51+43=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[73, 17, 51, 99], Operations: []
Exploring Operation: 73-17=56, Resulting Numbers: [51, 99, 56]
Generated Node #0,1: 94:[51, 99, 56] Operation: 73-17=56
Moving to Node #0,1
Current State: 94:[51, 99, 56], Operations: ['73-17=56']
Exploring Operation: 99-56=43, Resulting Numbers: [51, 43]
Generated Node #0,1,0: 94:[51, 43] Operation: 99-56=43
Moving to Node #0,1,0
Current State: 94:[51, 43], Operations: ['73-17=56', '99-56=43']
Exploring Operation: 51+43=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_5 | sum_heuristic |
[
92,
34,
18,
37
] | 30 | [
"92+34=126",
"126/18=7",
"37-7=30"
] | Current State: 30:[92, 34, 18, 37], Operations: []
Exploring Operation: 92+34=126, Resulting Numbers: [18, 37, 126]
Generated Node #2: [18, 37, 126] from Operation: 92+34=126
Current State: 30:[18, 37, 126], Operations: ['92+34=126']
Exploring Operation: 126/18=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 126/18=7
Current State: 30:[37, 7], Operations: ['92+34=126', '126/18=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[92, 34, 18, 37], Operations: []
Exploring Operation: 92-37=55, Resulting Numbers: [34, 18, 55]
Generated Node #0,0: 30:[34, 18, 55] Operation: 92-37=55
Exploring Operation: 92-34=58, Resulting Numbers: [18, 37, 58]
Generated Node #0,1: 30:[18, 37, 58] Operation: 92-34=58
Exploring Operation: 92-18=74, Resulting Numbers: [34, 37, 74]
Generated Node #0,2: 30:[34, 37, 74] Operation: 92-18=74
Moving to Node #0,0
Current State: 30:[34, 18, 55], Operations: ['92-37=55']
Exploring Operation: 55-18=37, Resulting Numbers: [34, 37]
Generated Node #0,0,0: 30:[34, 37] Operation: 55-18=37
Exploring Operation: 55-34=21, Resulting Numbers: [18, 21]
Generated Node #0,0,1: 30:[18, 21] Operation: 55-34=21
Exploring Operation: 34-18=16, Resulting Numbers: [55, 16]
Generated Node #0,0,2: 30:[55, 16] Operation: 34-18=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[18, 21], Operations: ['92-37=55', '55-34=21']
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[34, 37], Operations: ['92-37=55', '55-18=37']
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,30 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[55, 16], Operations: ['92-37=55', '34-18=16']
Exploring Operation: 55+16=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 55*16=880, Resulting Numbers: [880]
880,30 unequal: No Solution
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[18, 37, 58], Operations: ['92-34=58']
Exploring Operation: 37-18=19, Resulting Numbers: [58, 19]
Generated Node #0,1,0: 30:[58, 19] Operation: 37-18=19
Exploring Operation: 58-37=21, Resulting Numbers: [18, 21]
Generated Node #0,1,1: 30:[18, 21] Operation: 58-37=21
Exploring Operation: 58-18=40, Resulting Numbers: [37, 40]
Generated Node #0,1,2: 30:[37, 40] Operation: 58-18=40
Moving to Node #0,2
Current State: 30:[34, 37, 74], Operations: ['92-18=74']
Exploring Operation: 74-34=40, Resulting Numbers: [37, 40]
Generated Node #0,2,0: 30:[37, 40] Operation: 74-34=40
Exploring Operation: 74-37=37, Resulting Numbers: [34, 37]
Generated Node #0,2,1: 30:[34, 37] Operation: 74-37=37
Exploring Operation: 74/37=2, Resulting Numbers: [34, 2]
Generated Node #0,2,2: 30:[34, 2] Operation: 74/37=2
Moving to Node #0,2,2
Current State: 30:[34, 2], Operations: ['92-18=74', '74/37=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,30 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,30 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[18, 21], Operations: ['92-34=58', '58-37=21']
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,30 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[34, 37], Operations: ['92-18=74', '74-37=37']
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 34*37=1258, Resulting Numbers: [1258]
1258,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[37, 40], Operations: ['92-18=74', '74-34=40']
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 37*40=1480, Resulting Numbers: [1480]
1480,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[37, 40], Operations: ['92-34=58', '58-18=40']
Exploring Operation: 37*40=1480, Resulting Numbers: [1480]
1480,30 unequal: No Solution
Exploring Operation: 37+40=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 40-37=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[58, 19], Operations: ['92-34=58', '37-18=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,30 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
95,
52,
6,
72
] | 55 | [
"95-52=43",
"72/6=12",
"43+12=55"
] | Current State: 55:[95, 52, 6, 72], Operations: []
Exploring Operation: 95-52=43, Resulting Numbers: [6, 72, 43]
Generated Node #2: [6, 72, 43] from Operation: 95-52=43
Current State: 55:[6, 72, 43], Operations: ['95-52=43']
Exploring Operation: 72/6=12, Resulting Numbers: [43, 12]
Generated Node #3: [43, 12] from Operation: 72/6=12
Current State: 55:[43, 12], Operations: ['95-52=43', '72/6=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[95, 52, 6, 72], Operations: []
Exploring Operation: 95-52=43, Resulting Numbers: [6, 72, 43]
Generated Node #0,0: 55:[6, 72, 43] Operation: 95-52=43
Exploring Operation: 72/6=12, Resulting Numbers: [95, 52, 12]
Generated Node #0,1: 55:[95, 52, 12] Operation: 72/6=12
Exploring Operation: 72-52=20, Resulting Numbers: [95, 6, 20]
Generated Node #0,2: 55:[95, 6, 20] Operation: 72-52=20
Exploring Operation: 95-72=23, Resulting Numbers: [52, 6, 23]
Generated Node #0,3: 55:[52, 6, 23] Operation: 95-72=23
Exploring Operation: 95-6=89, Resulting Numbers: [52, 72, 89]
Generated Node #0,4: 55:[52, 72, 89] Operation: 95-6=89
Moving to Node #0,3
Current State: 55:[52, 6, 23], Operations: ['95-72=23']
Exploring Operation: 52-23=29, Resulting Numbers: [6, 29]
Generated Node #0,3,0: 55:[6, 29] Operation: 52-23=29
Exploring Operation: 52+23=75, Resulting Numbers: [6, 75]
Generated Node #0,3,1: 55:[6, 75] Operation: 52+23=75
Exploring Operation: 52-6=46, Resulting Numbers: [23, 46]
Generated Node #0,3,2: 55:[23, 46] Operation: 52-6=46
Exploring Operation: 23-6=17, Resulting Numbers: [52, 17]
Generated Node #0,3,3: 55:[52, 17] Operation: 23-6=17
Exploring Operation: 52+6=58, Resulting Numbers: [23, 58]
Generated Node #0,3,4: 55:[23, 58] Operation: 52+6=58
Moving to Node #0,0
Current State: 55:[6, 72, 43], Operations: ['95-52=43']
Exploring Operation: 72-6=66, Resulting Numbers: [43, 66]
Generated Node #0,0,0: 55:[43, 66] Operation: 72-6=66
Exploring Operation: 6+43=49, Resulting Numbers: [72, 49]
Generated Node #0,0,1: 55:[72, 49] Operation: 6+43=49
Exploring Operation: 72/6=12, Resulting Numbers: [43, 12]
Generated Node #0,0,2: 55:[43, 12] Operation: 72/6=12
Exploring Operation: 6+72=78, Resulting Numbers: [43, 78]
Generated Node #0,0,3: 55:[43, 78] Operation: 6+72=78
Exploring Operation: 72-43=29, Resulting Numbers: [6, 29]
Generated Node #0,0,4: 55:[6, 29] Operation: 72-43=29
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[43, 12], Operations: ['95-52=43', '72/6=12']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[95, 52, 6, 72], Operations: []
Exploring Operation: 95-52=43, Resulting Numbers: [6, 72, 43]
Generated Node #0,0: 55:[6, 72, 43] Operation: 95-52=43
Moving to Node #0,0
Current State: 55:[6, 72, 43], Operations: ['95-52=43']
Exploring Operation: 72/6=12, Resulting Numbers: [43, 12]
Generated Node #0,0,2: 55:[43, 12] Operation: 72/6=12
Moving to Node #0,0,2
Current State: 55:[43, 12], Operations: ['95-52=43', '72/6=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
41,
36,
6,
55
] | 84 | [
"55-41=14",
"36/6=6",
"14*6=84"
] | Current State: 84:[41, 36, 6, 55], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [36, 6, 14]
Generated Node #2: [36, 6, 14] from Operation: 55-41=14
Current State: 84:[36, 6, 14], Operations: ['55-41=14']
Exploring Operation: 36/6=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 36/6=6
Current State: 84:[14, 6], Operations: ['55-41=14', '36/6=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[41, 36, 6, 55], Operations: []
Exploring Operation: 36+55=91, Resulting Numbers: [41, 6, 91]
Generated Node #0,0: 84:[41, 6, 91] Operation: 36+55=91
Exploring Operation: 55-41=14, Resulting Numbers: [36, 6, 14]
Generated Node #0,1: 84:[36, 6, 14] Operation: 55-41=14
Exploring Operation: 55-36=19, Resulting Numbers: [41, 6, 19]
Generated Node #0,2: 84:[41, 6, 19] Operation: 55-36=19
Moving to Node #0,2
Current State: 84:[41, 6, 19], Operations: ['55-36=19']
Exploring Operation: 41-19=22, Resulting Numbers: [6, 22]
Generated Node #0,2,0: 84:[6, 22] Operation: 41-19=22
Exploring Operation: 6+19=25, Resulting Numbers: [41, 25]
Generated Node #0,2,1: 84:[41, 25] Operation: 6+19=25
Exploring Operation: 19-6=13, Resulting Numbers: [41, 13]
Generated Node #0,2,2: 84:[41, 13] Operation: 19-6=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[6, 22], Operations: ['55-36=19', '41-19=22']
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,84 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[41, 13], Operations: ['55-36=19', '19-6=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,84 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[41, 25], Operations: ['55-36=19', '6+19=25']
Exploring Operation: 41*25=1025, Resulting Numbers: [1025]
1025,84 unequal: No Solution
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,84 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: 84:[36, 6, 14], Operations: ['55-41=14']
Exploring Operation: 36-14=22, Resulting Numbers: [6, 22]
Generated Node #0,1,0: 84:[6, 22] Operation: 36-14=22
Exploring Operation: 36+6=42, Resulting Numbers: [14, 42]
Generated Node #0,1,1: 84:[14, 42] Operation: 36+6=42
Exploring Operation: 36/6=6, Resulting Numbers: [14, 6]
Generated Node #0,1,2: 84:[14, 6] Operation: 36/6=6
Moving to Node #0,0
Current State: 84:[41, 6, 91], Operations: ['36+55=91']
Exploring Operation: 91-41=50, Resulting Numbers: [6, 50]
Generated Node #0,0,0: 84:[6, 50] Operation: 91-41=50
Exploring Operation: 91-6=85, Resulting Numbers: [41, 85]
Generated Node #0,0,1: 84:[41, 85] Operation: 91-6=85
Exploring Operation: 41+6=47, Resulting Numbers: [91, 47]
Generated Node #0,0,2: 84:[91, 47] Operation: 41+6=47
Moving to Node #0,1,1
Current State: 84:[14, 42], Operations: ['55-41=14', '36+6=42']
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 14+42=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[14, 6], Operations: ['55-41=14', '36/6=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[41, 36, 6, 55], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [36, 6, 14]
Generated Node #0,1: 84:[36, 6, 14] Operation: 55-41=14
Moving to Node #0,1
Current State: 84:[36, 6, 14], Operations: ['55-41=14']
Exploring Operation: 36/6=6, Resulting Numbers: [14, 6]
Generated Node #0,1,2: 84:[14, 6] Operation: 36/6=6
Moving to Node #0,1,2
Current State: 84:[14, 6], Operations: ['55-41=14', '36/6=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.973958 | hs_3 | mult_heuristic |
[
72,
32,
88,
41
] | 46 | [
"72+88=160",
"160/32=5",
"41+5=46"
] | Current State: 46:[72, 32, 88, 41], Operations: []
Exploring Operation: 72+88=160, Resulting Numbers: [32, 41, 160]
Generated Node #2: [32, 41, 160] from Operation: 72+88=160
Current State: 46:[32, 41, 160], Operations: ['72+88=160']
Exploring Operation: 160/32=5, Resulting Numbers: [41, 5]
Generated Node #3: [41, 5] from Operation: 160/32=5
Current State: 46:[41, 5], Operations: ['72+88=160', '160/32=5']
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[72, 32, 88, 41], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [32, 41, 16]
Generated Node #0,0: 46:[32, 41, 16] Operation: 88-72=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[32, 41, 16], Operations: ['88-72=16']
Exploring Operation: 32/16=2, Resulting Numbers: [41, 2]
Generated Node #0,0,0: 46:[41, 2] Operation: 32/16=2
Moving to Node #0,0,0
Current State: 46:[41, 2], Operations: ['88-72=16', '32/16=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,46 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 |
[
5,
86,
17,
4
] | 16 | [
"86-5=81",
"81-17=64",
"64/4=16"
] | Current State: 16:[5, 86, 17, 4], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [17, 4, 81]
Generated Node #2: [17, 4, 81] from Operation: 86-5=81
Current State: 16:[17, 4, 81], Operations: ['86-5=81']
Exploring Operation: 81-17=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 81-17=64
Current State: 16:[4, 64], Operations: ['86-5=81', '81-17=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[5, 86, 17, 4], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [17, 4, 81]
Generated Node #0,0: 16:[17, 4, 81] Operation: 86-5=81
Exploring Operation: 5-4=1, Resulting Numbers: [86, 17, 1]
Generated Node #0,1: 16:[86, 17, 1] Operation: 5-4=1
Exploring Operation: 5+4=9, Resulting Numbers: [86, 17, 9]
Generated Node #0,2: 16:[86, 17, 9] Operation: 5+4=9
Exploring Operation: 86-17=69, Resulting Numbers: [5, 4, 69]
Generated Node #0,3: 16:[5, 4, 69] Operation: 86-17=69
Exploring Operation: 86-4=82, Resulting Numbers: [5, 17, 82]
Generated Node #0,4: 16:[5, 17, 82] Operation: 86-4=82
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[5, 4, 69], Operations: ['86-17=69']
Exploring Operation: 5*4=20, Resulting Numbers: [69, 20]
Generated Node #0,3,0: 16:[69, 20] Operation: 5*4=20
Exploring Operation: 69-5=64, Resulting Numbers: [4, 64]
Generated Node #0,3,1: 16:[4, 64] Operation: 69-5=64
Exploring Operation: 5+4=9, Resulting Numbers: [69, 9]
Generated Node #0,3,2: 16:[69, 9] Operation: 5+4=9
Exploring Operation: 69-4=65, Resulting Numbers: [5, 65]
Generated Node #0,3,3: 16:[5, 65] Operation: 69-4=65
Exploring Operation: 5-4=1, Resulting Numbers: [69, 1]
Generated Node #0,3,4: 16:[69, 1] Operation: 5-4=1
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 16:[4, 64], Operations: ['86-17=69', '69-5=64']
Exploring Operation: 4*64=256, Resulting Numbers: [256]
256,16 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[5, 86, 17, 4], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [5, 4, 69]
Generated Node #0,3: 16:[5, 4, 69] Operation: 86-17=69
Moving to Node #0,3
Current State: 16:[5, 4, 69], Operations: ['86-17=69']
Exploring Operation: 69-5=64, Resulting Numbers: [4, 64]
Generated Node #0,3,1: 16:[4, 64] Operation: 69-5=64
Moving to Node #0,3,1
Current State: 16:[4, 64], Operations: ['86-17=69', '69-5=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
5,
6,
94,
2
] | 95 | [
"6-5=1",
"94+2=96",
"96-1=95"
] | Current State: 95:[5, 6, 94, 2], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [94, 2, 1]
Generated Node #2: [94, 2, 1] from Operation: 6-5=1
Current State: 95:[94, 2, 1], Operations: ['6-5=1']
Exploring Operation: 94+2=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 94+2=96
Current State: 95:[1, 96], Operations: ['6-5=1', '94+2=96']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[5, 6, 94, 2], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [5, 94, 4]
Generated Node #0,0: 95:[5, 94, 4] Operation: 6-2=4
Exploring Operation: 6/2=3, Resulting Numbers: [5, 94, 3]
Generated Node #0,1: 95:[5, 94, 3] Operation: 6/2=3
Exploring Operation: 94+2=96, Resulting Numbers: [5, 6, 96]
Generated Node #0,2: 95:[5, 6, 96] Operation: 94+2=96
Moving to Node #0,0
Current State: 95:[5, 94, 4], Operations: ['6-2=4']
Exploring Operation: 5*4=20, Resulting Numbers: [94, 20]
Generated Node #0,0,0: 95:[94, 20] Operation: 5*4=20
Exploring Operation: 5+94=99, Resulting Numbers: [4, 99]
Generated Node #0,0,1: 95:[4, 99] Operation: 5+94=99
Exploring Operation: 94+4=98, Resulting Numbers: [5, 98]
Generated Node #0,0,2: 95:[5, 98] Operation: 94+4=98
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[94, 20], Operations: ['6-2=4', '5*4=20']
Exploring Operation: 94+20=114, Resulting Numbers: [114]
114,95 unequal: No Solution
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 94*20=1880, Resulting Numbers: [1880]
1880,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[5, 98], Operations: ['6-2=4', '94+4=98']
Exploring Operation: 5*98=490, Resulting Numbers: [490]
490,95 unequal: No Solution
Exploring Operation: 5+98=103, Resulting Numbers: [103]
103,95 unequal: No Solution
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[4, 99], Operations: ['6-2=4', '5+94=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[5, 6, 94, 2], Operations: []
Exploring Operation: 6-2=4, Resulting Numbers: [5, 94, 4]
Generated Node #0,0: 95:[5, 94, 4] Operation: 6-2=4
Moving to Node #0,0
Current State: 95:[5, 94, 4], Operations: ['6-2=4']
Exploring Operation: 5+94=99, Resulting Numbers: [4, 99]
Generated Node #0,0,1: 95:[4, 99] Operation: 5+94=99
Moving to Node #0,0,1
Current State: 95:[4, 99], Operations: ['6-2=4', '5+94=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
49,
90,
83,
2
] | 79 | [
"83-49=34",
"90/2=45",
"34+45=79"
] | Current State: 79:[49, 90, 83, 2], Operations: []
Exploring Operation: 83-49=34, Resulting Numbers: [90, 2, 34]
Generated Node #2: [90, 2, 34] from Operation: 83-49=34
Current State: 79:[90, 2, 34], Operations: ['83-49=34']
Exploring Operation: 90/2=45, Resulting Numbers: [34, 45]
Generated Node #3: [34, 45] from Operation: 90/2=45
Current State: 79:[34, 45], Operations: ['83-49=34', '90/2=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[49, 90, 83, 2], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [49, 83, 88]
Generated Node #0,0: 79:[49, 83, 88] Operation: 90-2=88
Exploring Operation: 49*2=98, Resulting Numbers: [90, 83, 98]
Generated Node #0,1: 79:[90, 83, 98] Operation: 49*2=98
Exploring Operation: 49+2=51, Resulting Numbers: [90, 83, 51]
Generated Node #0,2: 79:[90, 83, 51] Operation: 49+2=51
Exploring Operation: 83-2=81, Resulting Numbers: [49, 90, 81]
Generated Node #0,3: 79:[49, 90, 81] Operation: 83-2=81
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[90, 83, 98], Operations: ['49*2=98']
Exploring Operation: 90+83=173, Resulting Numbers: [98, 173]
Generated Node #0,1,0: 79:[98, 173] Operation: 90+83=173
Exploring Operation: 98-90=8, Resulting Numbers: [83, 8]
Generated Node #0,1,1: 79:[83, 8] Operation: 98-90=8
Exploring Operation: 90-83=7, Resulting Numbers: [98, 7]
Generated Node #0,1,2: 79:[98, 7] Operation: 90-83=7
Exploring Operation: 98-83=15, Resulting Numbers: [90, 15]
Generated Node #0,1,3: 79:[90, 15] Operation: 98-83=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 79:[83, 8], Operations: ['49*2=98', '98-90=8']
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,79 unequal: No Solution
No 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: 79:[90, 15], Operations: ['49*2=98', '98-83=15']
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,79 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,79 unequal: No Solution
No 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: 79:[98, 7], Operations: ['49*2=98', '90-83=7']
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Exploring Operation: 98*7=686, Resulting Numbers: [686]
686,79 unequal: No Solution
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Exploring Operation: 98+7=105, Resulting Numbers: [105]
105,79 unequal: No Solution
No 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: 79:[98, 173], Operations: ['49*2=98', '90+83=173']
Exploring Operation: 173-98=75, Resulting Numbers: [75]
75,79 unequal: No Solution
Exploring Operation: 98+173=271, Resulting Numbers: [271]
271,79 unequal: No Solution
Exploring Operation: 98*173=16954, Resulting Numbers: [16954]
16954,79 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: 79:[49, 83, 88], Operations: ['90-2=88']
Exploring Operation: 88-49=39, Resulting Numbers: [83, 39]
Generated Node #0,0,0: 79:[83, 39] Operation: 88-49=39
Exploring Operation: 83-49=34, Resulting Numbers: [88, 34]
Generated Node #0,0,1: 79:[88, 34] Operation: 83-49=34
Exploring Operation: 49+88=137, Resulting Numbers: [83, 137]
Generated Node #0,0,2: 79:[83, 137] Operation: 49+88=137
Exploring Operation: 49+83=132, Resulting Numbers: [88, 132]
Generated Node #0,0,3: 79:[88, 132] Operation: 49+83=132
Moving to Node #0,0,0
Current State: 79:[83, 39], Operations: ['90-2=88', '88-49=39']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 83+39=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 83*39=3237, Resulting Numbers: [3237]
3237,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[88, 34], Operations: ['90-2=88', '83-49=34']
Exploring Operation: 88+34=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 88*34=2992, Resulting Numbers: [2992]
2992,79 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[88, 132], Operations: ['90-2=88', '49+83=132']
Exploring Operation: 88*132=11616, Resulting Numbers: [11616]
11616,79 unequal: No Solution
Exploring Operation: 88+132=220, Resulting Numbers: [220]
220,79 unequal: No Solution
Exploring Operation: 132-88=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[83, 137], Operations: ['90-2=88', '49+88=137']
Exploring Operation: 83+137=220, Resulting Numbers: [220]
220,79 unequal: No Solution
Exploring Operation: 137-83=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 83*137=11371, Resulting Numbers: [11371]
11371,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[90, 83, 51], Operations: ['49+2=51']
Exploring Operation: 90-51=39, Resulting Numbers: [83, 39]
Generated Node #0,2,0: 79:[83, 39] Operation: 90-51=39
Exploring Operation: 83-51=32, Resulting Numbers: [90, 32]
Generated Node #0,2,1: 79:[90, 32] Operation: 83-51=32
Exploring Operation: 83+51=134, Resulting Numbers: [90, 134]
Generated Node #0,2,2: 79:[90, 134] Operation: 83+51=134
Exploring Operation: 90+51=141, Resulting Numbers: [83, 141]
Generated Node #0,2,3: 79:[83, 141] Operation: 90+51=141
Moving to Node #0,2,0
Current State: 79:[83, 39], Operations: ['49+2=51', '90-51=39']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 83*39=3237, Resulting Numbers: [3237]
3237,79 unequal: No Solution
Exploring Operation: 83+39=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[90, 32], Operations: ['49+2=51', '83-51=32']
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,79 unequal: No Solution
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[83, 141], Operations: ['49+2=51', '90+51=141']
Exploring Operation: 83*141=11703, Resulting Numbers: [11703]
11703,79 unequal: No Solution
Exploring Operation: 141-83=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Exploring Operation: 83+141=224, Resulting Numbers: [224]
224,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[90, 134], Operations: ['49+2=51', '83+51=134']
Exploring Operation: 90+134=224, Resulting Numbers: [224]
224,79 unequal: No Solution
Exploring Operation: 134-90=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 90*134=12060, Resulting Numbers: [12060]
12060,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[49, 90, 81], Operations: ['83-2=81']
Exploring Operation: 49+81=130, Resulting Numbers: [90, 130]
Generated Node #0,3,0: 79:[90, 130] Operation: 49+81=130
Exploring Operation: 49+90=139, Resulting Numbers: [81, 139]
Generated Node #0,3,1: 79:[81, 139] Operation: 49+90=139
Exploring Operation: 90-49=41, Resulting Numbers: [81, 41]
Generated Node #0,3,2: 79:[81, 41] Operation: 90-49=41
Exploring Operation: 81-49=32, Resulting Numbers: [90, 32]
Generated Node #0,3,3: 79:[90, 32] Operation: 81-49=32
Moving to Node #0,3,2
Current State: 79:[81, 41], Operations: ['83-2=81', '90-49=41']
Exploring Operation: 81-41=40, Resulting Numbers: [40]
40,79 unequal: No Solution
Exploring Operation: 81+41=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 81*41=3321, Resulting Numbers: [3321]
3321,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[90, 32], Operations: ['83-2=81', '81-49=32']
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,79 unequal: No Solution
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[81, 139], Operations: ['83-2=81', '49+90=139']
Exploring Operation: 81+139=220, Resulting Numbers: [220]
220,79 unequal: No Solution
Exploring Operation: 139-81=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Exploring Operation: 81*139=11259, Resulting Numbers: [11259]
11259,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[90, 130], Operations: ['83-2=81', '49+81=130']
Exploring Operation: 130-90=40, Resulting Numbers: [40]
40,79 unequal: No Solution
Exploring Operation: 90+130=220, Resulting Numbers: [220]
220,79 unequal: No Solution
Exploring Operation: 90*130=11700, Resulting Numbers: [11700]
11700,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
34,
14,
17,
98
] | 58 | [
"34+17=51",
"98/14=7",
"51+7=58"
] | Current State: 58:[34, 14, 17, 98], Operations: []
Exploring Operation: 34+17=51, Resulting Numbers: [14, 98, 51]
Generated Node #2: [14, 98, 51] from Operation: 34+17=51
Current State: 58:[14, 98, 51], Operations: ['34+17=51']
Exploring Operation: 98/14=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 98/14=7
Current State: 58:[51, 7], Operations: ['34+17=51', '98/14=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[34, 14, 17, 98], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [34, 17, 7]
Generated Node #0,0: 58:[34, 17, 7] Operation: 98/14=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[34, 17, 7], Operations: ['98/14=7']
Exploring Operation: 34/17=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 58:[7, 2] Operation: 34/17=2
Moving to Node #0,0,0
Current State: 58:[7, 2], Operations: ['98/14=7', '34/17=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
59,
3,
99,
86
] | 98 | [
"99-86=13",
"3*13=39",
"59+39=98"
] | Current State: 98:[59, 3, 99, 86], Operations: []
Exploring Operation: 99-86=13, Resulting Numbers: [59, 3, 13]
Generated Node #2: [59, 3, 13] from Operation: 99-86=13
Current State: 98:[59, 3, 13], Operations: ['99-86=13']
Exploring Operation: 3*13=39, Resulting Numbers: [59, 39]
Generated Node #3: [59, 39] from Operation: 3*13=39
Current State: 98:[59, 39], Operations: ['99-86=13', '3*13=39']
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[59, 3, 99, 86], Operations: []
Exploring Operation: 59-3=56, Resulting Numbers: [99, 86, 56]
Generated Node #0,0: 98:[99, 86, 56] Operation: 59-3=56
Exploring Operation: 99-86=13, Resulting Numbers: [59, 3, 13]
Generated Node #0,1: 98:[59, 3, 13] Operation: 99-86=13
Exploring Operation: 86-59=27, Resulting Numbers: [3, 99, 27]
Generated Node #0,2: 98:[3, 99, 27] Operation: 86-59=27
Moving to Node #0,1
Current State: 98:[59, 3, 13], Operations: ['99-86=13']
Exploring Operation: 59-3=56, Resulting Numbers: [13, 56]
Generated Node #0,1,0: 98:[13, 56] Operation: 59-3=56
Exploring Operation: 59-13=46, Resulting Numbers: [3, 46]
Generated Node #0,1,1: 98:[3, 46] Operation: 59-13=46
Exploring Operation: 3+13=16, Resulting Numbers: [59, 16]
Generated Node #0,1,2: 98:[59, 16] Operation: 3+13=16
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[3, 46], Operations: ['99-86=13', '59-13=46']
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,98 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 98:[13, 56], Operations: ['99-86=13', '59-3=56']
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 13*56=728, Resulting Numbers: [728]
728,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 98:[59, 16], Operations: ['99-86=13', '3+13=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,98 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,98 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: 98:[3, 99, 27], Operations: ['86-59=27']
Exploring Operation: 27/3=9, Resulting Numbers: [99, 9]
Generated Node #0,2,0: 98:[99, 9] Operation: 27/3=9
Exploring Operation: 99-3=96, Resulting Numbers: [27, 96]
Generated Node #0,2,1: 98:[27, 96] Operation: 99-3=96
Exploring Operation: 27-3=24, Resulting Numbers: [99, 24]
Generated Node #0,2,2: 98:[99, 24] Operation: 27-3=24
Moving to Node #0,0
Current State: 98:[99, 86, 56], Operations: ['59-3=56']
Exploring Operation: 86-56=30, Resulting Numbers: [99, 30]
Generated Node #0,0,0: 98:[99, 30] Operation: 86-56=30
Exploring Operation: 99-56=43, Resulting Numbers: [86, 43]
Generated Node #0,0,1: 98:[86, 43] Operation: 99-56=43
Exploring Operation: 99-86=13, Resulting Numbers: [56, 13]
Generated Node #0,0,2: 98:[56, 13] Operation: 99-86=13
Moving to Node #0,2,0
Current State: 98:[99, 9], Operations: ['86-59=27', '27/3=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Exploring Operation: 99+9=108, Resulting Numbers: [108]
108,98 unequal: No Solution
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[56, 13], Operations: ['59-3=56', '99-86=13']
Exploring Operation: 56*13=728, Resulting Numbers: [728]
728,98 unequal: No Solution
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 56+13=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[99, 24], Operations: ['86-59=27', '27-3=24']
Exploring Operation: 99-24=75, Resulting Numbers: [75]
75,98 unequal: No Solution
Exploring Operation: 99*24=2376, Resulting Numbers: [2376]
2376,98 unequal: No Solution
Exploring Operation: 99+24=123, Resulting Numbers: [123]
123,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[27, 96], Operations: ['86-59=27', '99-3=96']
Exploring Operation: 27+96=123, Resulting Numbers: [123]
123,98 unequal: No Solution
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 27*96=2592, Resulting Numbers: [2592]
2592,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[99, 30], Operations: ['59-3=56', '86-56=30']
Exploring Operation: 99*30=2970, Resulting Numbers: [2970]
2970,98 unequal: No Solution
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 99+30=129, Resulting Numbers: [129]
129,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[86, 43], Operations: ['59-3=56', '99-56=43']
Exploring Operation: 86+43=129, Resulting Numbers: [129]
129,98 unequal: No Solution
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,98 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
64,
93,
44,
28
] | 45 | [
"93-64=29",
"44-28=16",
"29+16=45"
] | Current State: 45:[64, 93, 44, 28], Operations: []
Exploring Operation: 93-64=29, Resulting Numbers: [44, 28, 29]
Generated Node #2: [44, 28, 29] from Operation: 93-64=29
Current State: 45:[44, 28, 29], Operations: ['93-64=29']
Exploring Operation: 44-28=16, Resulting Numbers: [29, 16]
Generated Node #3: [29, 16] from Operation: 44-28=16
Current State: 45:[29, 16], Operations: ['93-64=29', '44-28=16']
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[64, 93, 44, 28], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [93, 44, 36]
Generated Node #0,0: 45:[93, 44, 36] Operation: 64-28=36
Exploring Operation: 93-28=65, Resulting Numbers: [64, 44, 65]
Generated Node #0,1: 45:[64, 44, 65] Operation: 93-28=65
Exploring Operation: 93-44=49, Resulting Numbers: [64, 28, 49]
Generated Node #0,2: 45:[64, 28, 49] Operation: 93-44=49
Exploring Operation: 64-44=20, Resulting Numbers: [93, 28, 20]
Generated Node #0,3: 45:[93, 28, 20] Operation: 64-44=20
Exploring Operation: 93-64=29, Resulting Numbers: [44, 28, 29]
Generated Node #0,4: 45:[44, 28, 29] Operation: 93-64=29
Start Sub Search at level 1: Moving to Node #0,4
Current State: 45:[44, 28, 29], Operations: ['93-64=29']
Exploring Operation: 44+28=72, Resulting Numbers: [29, 72]
Generated Node #0,4,0: 45:[29, 72] Operation: 44+28=72
Exploring Operation: 44-28=16, Resulting Numbers: [29, 16]
Generated Node #0,4,1: 45:[29, 16] Operation: 44-28=16
Exploring Operation: 28+29=57, Resulting Numbers: [44, 57]
Generated Node #0,4,2: 45:[44, 57] Operation: 28+29=57
Exploring Operation: 44-29=15, Resulting Numbers: [28, 15]
Generated Node #0,4,3: 45:[28, 15] Operation: 44-29=15
Exploring Operation: 29-28=1, Resulting Numbers: [44, 1]
Generated Node #0,4,4: 45:[44, 1] Operation: 29-28=1
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 45:[44, 1], Operations: ['93-64=29', '29-28=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[64, 93, 44, 28], Operations: []
Exploring Operation: 93-64=29, Resulting Numbers: [44, 28, 29]
Generated Node #0,4: 45:[44, 28, 29] Operation: 93-64=29
Moving to Node #0,4
Current State: 45:[44, 28, 29], Operations: ['93-64=29']
Exploring Operation: 29-28=1, Resulting Numbers: [44, 1]
Generated Node #0,4,4: 45:[44, 1] Operation: 29-28=1
Moving to Node #0,4,4
Current State: 45:[44, 1], Operations: ['93-64=29', '29-28=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
20,
14,
14,
33
] | 53 | [
"20+14=34",
"33-14=19",
"34+19=53"
] | Current State: 53:[20, 14, 14, 33], Operations: []
Exploring Operation: 20+14=34, Resulting Numbers: [33, 34]
Generated Node #2: [33, 34] from Operation: 20+14=34
Current State: 53:[33, 34], Operations: ['20+14=34']
Exploring Operation: 33-14=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 33-14=19
Current State: 53:[34, 19], Operations: ['20+14=34', '33-14=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[20, 14, 14, 33], Operations: []
Exploring Operation: 20+14=34, Resulting Numbers: [14, 33, 34]
Generated Node #0,0: 53:[14, 33, 34] Operation: 20+14=34
Exploring Operation: 20+14=34, Resulting Numbers: [14, 33, 34]
Generated Node #0,1: 53:[14, 33, 34] Operation: 20+14=34
Moving to Node #0,0
Current State: 53:[14, 33, 34], Operations: ['20+14=34']
Exploring Operation: 14+33=47, Resulting Numbers: [34, 47]
Generated Node #0,0,0: 53:[34, 47] Operation: 14+33=47
Exploring Operation: 14+34=48, Resulting Numbers: [33, 48]
Generated Node #0,0,1: 53:[33, 48] Operation: 14+34=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[34, 47], Operations: ['20+14=34', '14+33=47']
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,53 unequal: No Solution
No 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: 53:[33, 48], Operations: ['20+14=34', '14+34=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,53 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: 53:[14, 33, 34], Operations: ['20+14=34']
Exploring Operation: 14+33=47, Resulting Numbers: [34, 47]
Generated Node #0,1,0: 53:[34, 47] Operation: 14+33=47
Exploring Operation: 14+34=48, Resulting Numbers: [33, 48]
Generated Node #0,1,1: 53:[33, 48] Operation: 14+34=48
Moving to Node #0,1,0
Current State: 53:[34, 47], Operations: ['20+14=34', '14+33=47']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,53 unequal: No Solution
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[33, 48], Operations: ['20+14=34', '14+34=48']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,53 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
83,
52,
32,
63
] | 63 | [
"83-52=31",
"32-31=1",
"63*1=63"
] | Current State: 63:[83, 52, 32, 63], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [32, 63, 31]
Generated Node #2: [32, 63, 31] from Operation: 83-52=31
Current State: 63:[32, 63, 31], Operations: ['83-52=31']
Exploring Operation: 32-31=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 32-31=1
Current State: 63:[63, 1], Operations: ['83-52=31', '32-31=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[83, 52, 32, 63], Operations: []
Exploring Operation: 83-32=51, Resulting Numbers: [52, 63, 51]
Generated Node #0,0: 63:[52, 63, 51] Operation: 83-32=51
Exploring Operation: 83-52=31, Resulting Numbers: [32, 63, 31]
Generated Node #0,1: 63:[32, 63, 31] Operation: 83-52=31
Exploring Operation: 52-32=20, Resulting Numbers: [83, 63, 20]
Generated Node #0,2: 63:[83, 63, 20] Operation: 52-32=20
Exploring Operation: 83-63=20, Resulting Numbers: [52, 32, 20]
Generated Node #0,3: 63:[52, 32, 20] Operation: 83-63=20
Moving to Node #0,1
Current State: 63:[32, 63, 31], Operations: ['83-52=31']
Exploring Operation: 32+31=63, Resulting Numbers: [63, 63]
Generated Node #0,1,0: 63:[63, 63] Operation: 32+31=63
Exploring Operation: 32-31=1, Resulting Numbers: [63, 1]
Generated Node #0,1,1: 63:[63, 1] Operation: 32-31=1
Exploring Operation: 63-32=31, Resulting Numbers: [31, 31]
Generated Node #0,1,2: 63:[31, 31] Operation: 63-32=31
Exploring Operation: 63-31=32, Resulting Numbers: [32, 32]
Generated Node #0,1,3: 63:[32, 32] Operation: 63-31=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[63, 63], Operations: ['83-52=31', '32+31=63']
Exploring Operation: 63-63=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 63+63=126, Resulting Numbers: [126]
126,63 unequal: No Solution
Exploring Operation: 63*63=3969, Resulting Numbers: [3969]
3969,63 unequal: No Solution
Exploring Operation: 63/63=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[63, 1], Operations: ['83-52=31', '32-31=1']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[83, 52, 32, 63], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [32, 63, 31]
Generated Node #0,1: 63:[32, 63, 31] Operation: 83-52=31
Moving to Node #0,1
Current State: 63:[32, 63, 31], Operations: ['83-52=31']
Exploring Operation: 32-31=1, Resulting Numbers: [63, 1]
Generated Node #0,1,1: 63:[63, 1] Operation: 32-31=1
Moving to Node #0,1,1
Current State: 63:[63, 1], Operations: ['83-52=31', '32-31=1']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
97,
47,
18,
3
] | 30 | [
"97+47=144",
"144/3=48",
"48-18=30"
] | Current State: 30:[97, 47, 18, 3], Operations: []
Exploring Operation: 97+47=144, Resulting Numbers: [18, 3, 144]
Generated Node #2: [18, 3, 144] from Operation: 97+47=144
Current State: 30:[18, 3, 144], Operations: ['97+47=144']
Exploring Operation: 144/3=48, Resulting Numbers: [18, 48]
Generated Node #3: [18, 48] from Operation: 144/3=48
Current State: 30:[18, 48], Operations: ['97+47=144', '144/3=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[97, 47, 18, 3], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [18, 3, 50]
Generated Node #0,0: 30:[18, 3, 50] Operation: 97-47=50
Exploring Operation: 97-18=79, Resulting Numbers: [47, 3, 79]
Generated Node #0,1: 30:[47, 3, 79] Operation: 97-18=79
Moving to Node #0,0
Current State: 30:[18, 3, 50], Operations: ['97-47=50']
Exploring Operation: 18-3=15, Resulting Numbers: [50, 15]
Generated Node #0,0,0: 30:[50, 15] Operation: 18-3=15
Exploring Operation: 50-18=32, Resulting Numbers: [3, 32]
Generated Node #0,0,1: 30:[3, 32] Operation: 50-18=32
Moving to Node #0,1
Current State: 30:[47, 3, 79], Operations: ['97-18=79']
Exploring Operation: 47-3=44, Resulting Numbers: [79, 44]
Generated Node #0,1,0: 30:[79, 44] Operation: 47-3=44
Exploring Operation: 79-47=32, Resulting Numbers: [3, 32]
Generated Node #0,1,1: 30:[3, 32] Operation: 79-47=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[3, 32], Operations: ['97-18=79', '79-47=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[79, 44], Operations: ['97-18=79', '47-3=44']
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 79+44=123, Resulting Numbers: [123]
123,30 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: 30:[3, 32], Operations: ['97-47=50', '50-18=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[50, 15], Operations: ['97-47=50', '18-3=15']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 50+15=65, Resulting Numbers: [65]
65,30 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
72,
70,
58,
6
] | 26 | [
"72-70=2",
"58-6=52",
"52/2=26"
] | Current State: 26:[72, 70, 58, 6], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [58, 6, 2]
Generated Node #2: [58, 6, 2] from Operation: 72-70=2
Current State: 26:[58, 6, 2], Operations: ['72-70=2']
Exploring Operation: 58-6=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 58-6=52
Current State: 26:[2, 52], Operations: ['72-70=2', '58-6=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[72, 70, 58, 6], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [70, 6, 14]
Generated Node #0,0: 26:[70, 6, 14] Operation: 72-58=14
Exploring Operation: 70-58=12, Resulting Numbers: [72, 6, 12]
Generated Node #0,1: 26:[72, 6, 12] Operation: 70-58=12
Exploring Operation: 72-70=2, Resulting Numbers: [58, 6, 2]
Generated Node #0,2: 26:[58, 6, 2] Operation: 72-70=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[58, 6, 2], Operations: ['72-70=2']
Exploring Operation: 58/2=29, Resulting Numbers: [6, 29]
Generated Node #0,2,0: 26:[6, 29] Operation: 58/2=29
Exploring Operation: 6*2=12, Resulting Numbers: [58, 12]
Generated Node #0,2,1: 26:[58, 12] Operation: 6*2=12
Exploring Operation: 58-6=52, Resulting Numbers: [2, 52]
Generated Node #0,2,2: 26:[2, 52] Operation: 58-6=52
Moving to Node #0,2,0
Current State: 26:[6, 29], Operations: ['72-70=2', '58/2=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[2, 52], Operations: ['72-70=2', '58-6=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[72, 70, 58, 6], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [58, 6, 2]
Generated Node #0,2: 26:[58, 6, 2] Operation: 72-70=2
Moving to Node #0,2
Current State: 26:[58, 6, 2], Operations: ['72-70=2']
Exploring Operation: 58-6=52, Resulting Numbers: [2, 52]
Generated Node #0,2,2: 26:[2, 52] Operation: 58-6=52
Moving to Node #0,2,2
Current State: 26:[2, 52], Operations: ['72-70=2', '58-6=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
73,
5,
58,
92
] | 44 | [
"73+5=78",
"92-58=34",
"78-34=44"
] | Current State: 44:[73, 5, 58, 92], Operations: []
Exploring Operation: 73+5=78, Resulting Numbers: [58, 92, 78]
Generated Node #2: [58, 92, 78] from Operation: 73+5=78
Current State: 44:[58, 92, 78], Operations: ['73+5=78']
Exploring Operation: 92-58=34, Resulting Numbers: [78, 34]
Generated Node #3: [78, 34] from Operation: 92-58=34
Current State: 44:[78, 34], Operations: ['73+5=78', '92-58=34']
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[73, 5, 58, 92], Operations: []
Exploring Operation: 73-5=68, Resulting Numbers: [58, 92, 68]
Generated Node #0,0: 44:[58, 92, 68] Operation: 73-5=68
Exploring Operation: 73-58=15, Resulting Numbers: [5, 92, 15]
Generated Node #0,1: 44:[5, 92, 15] Operation: 73-58=15
Exploring Operation: 92-73=19, Resulting Numbers: [5, 58, 19]
Generated Node #0,2: 44:[5, 58, 19] Operation: 92-73=19
Exploring Operation: 92-58=34, Resulting Numbers: [73, 5, 34]
Generated Node #0,3: 44:[73, 5, 34] Operation: 92-58=34
Exploring Operation: 58-5=53, Resulting Numbers: [73, 92, 53]
Generated Node #0,4: 44:[73, 92, 53] Operation: 58-5=53
Moving to Node #0,2
Current State: 44:[5, 58, 19], Operations: ['92-73=19']
Exploring Operation: 58-5=53, Resulting Numbers: [19, 53]
Generated Node #0,2,0: 44:[19, 53] Operation: 58-5=53
Exploring Operation: 19-5=14, Resulting Numbers: [58, 14]
Generated Node #0,2,1: 44:[58, 14] Operation: 19-5=14
Exploring Operation: 5+19=24, Resulting Numbers: [58, 24]
Generated Node #0,2,2: 44:[58, 24] Operation: 5+19=24
Exploring Operation: 5+58=63, Resulting Numbers: [19, 63]
Generated Node #0,2,3: 44:[19, 63] Operation: 5+58=63
Exploring Operation: 58-19=39, Resulting Numbers: [5, 39]
Generated Node #0,2,4: 44:[5, 39] Operation: 58-19=39
Moving to Node #0,3
Current State: 44:[73, 5, 34], Operations: ['92-58=34']
Exploring Operation: 73-34=39, Resulting Numbers: [5, 39]
Generated Node #0,3,0: 44:[5, 39] Operation: 73-34=39
Exploring Operation: 73-5=68, Resulting Numbers: [34, 68]
Generated Node #0,3,1: 44:[34, 68] Operation: 73-5=68
Exploring Operation: 5+34=39, Resulting Numbers: [73, 39]
Generated Node #0,3,2: 44:[73, 39] Operation: 5+34=39
Exploring Operation: 73+5=78, Resulting Numbers: [34, 78]
Generated Node #0,3,3: 44:[34, 78] Operation: 73+5=78
Exploring Operation: 34-5=29, Resulting Numbers: [73, 29]
Generated Node #0,3,4: 44:[73, 29] Operation: 34-5=29
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 44:[5, 39], Operations: ['92-58=34', '73-34=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[73, 5, 58, 92], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [73, 5, 34]
Generated Node #0,3: 44:[73, 5, 34] Operation: 92-58=34
Moving to Node #0,3
Current State: 44:[73, 5, 34], Operations: ['92-58=34']
Exploring Operation: 73-34=39, Resulting Numbers: [5, 39]
Generated Node #0,3,0: 44:[5, 39] Operation: 73-34=39
Moving to Node #0,3,0
Current State: 44:[5, 39], Operations: ['92-58=34', '73-34=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
82,
72,
22,
26
] | 40 | [
"82-72=10",
"26-22=4",
"10*4=40"
] | Current State: 40:[82, 72, 22, 26], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [22, 26, 10]
Generated Node #2: [22, 26, 10] from Operation: 82-72=10
Current State: 40:[22, 26, 10], Operations: ['82-72=10']
Exploring Operation: 26-22=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 26-22=4
Current State: 40:[10, 4], Operations: ['82-72=10', '26-22=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[82, 72, 22, 26], Operations: []
Exploring Operation: 82-22=60, Resulting Numbers: [72, 26, 60]
Generated Node #0,0: 40:[72, 26, 60] Operation: 82-22=60
Exploring Operation: 72-26=46, Resulting Numbers: [82, 22, 46]
Generated Node #0,1: 40:[82, 22, 46] Operation: 72-26=46
Exploring Operation: 82-26=56, Resulting Numbers: [72, 22, 56]
Generated Node #0,2: 40:[72, 22, 56] Operation: 82-26=56
Exploring Operation: 82-72=10, Resulting Numbers: [22, 26, 10]
Generated Node #0,3: 40:[22, 26, 10] Operation: 82-72=10
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[22, 26, 10], Operations: ['82-72=10']
Exploring Operation: 22+26=48, Resulting Numbers: [10, 48]
Generated Node #0,3,0: 40:[10, 48] Operation: 22+26=48
Exploring Operation: 26+10=36, Resulting Numbers: [22, 36]
Generated Node #0,3,1: 40:[22, 36] Operation: 26+10=36
Exploring Operation: 26-10=16, Resulting Numbers: [22, 16]
Generated Node #0,3,2: 40:[22, 16] Operation: 26-10=16
Exploring Operation: 26-22=4, Resulting Numbers: [10, 4]
Generated Node #0,3,3: 40:[10, 4] Operation: 26-22=4
Moving to Node #0,3,3
Current State: 40:[10, 4], Operations: ['82-72=10', '26-22=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[82, 72, 22, 26], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [22, 26, 10]
Generated Node #0,3: 40:[22, 26, 10] Operation: 82-72=10
Moving to Node #0,3
Current State: 40:[22, 26, 10], Operations: ['82-72=10']
Exploring Operation: 26-22=4, Resulting Numbers: [10, 4]
Generated Node #0,3,3: 40:[10, 4] Operation: 26-22=4
Moving to Node #0,3,3
Current State: 40:[10, 4], Operations: ['82-72=10', '26-22=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
33,
34,
55,
41
] | 96 | [
"34-33=1",
"55+41=96",
"1*96=96"
] | Current State: 96:[33, 34, 55, 41], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [55, 41, 1]
Generated Node #2: [55, 41, 1] from Operation: 34-33=1
Current State: 96:[55, 41, 1], Operations: ['34-33=1']
Exploring Operation: 55+41=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 55+41=96
Current State: 96:[1, 96], Operations: ['34-33=1', '55+41=96']
Exploring Operation: 1*96=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[33, 34, 55, 41], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [33, 55, 7]
Generated Node #0,0: 96:[33, 55, 7] Operation: 41-34=7
Exploring Operation: 55+41=96, Resulting Numbers: [33, 34, 96]
Generated Node #0,1: 96:[33, 34, 96] Operation: 55+41=96
Exploring Operation: 55-33=22, Resulting Numbers: [34, 41, 22]
Generated Node #0,2: 96:[34, 41, 22] Operation: 55-33=22
Exploring Operation: 41-33=8, Resulting Numbers: [34, 55, 8]
Generated Node #0,3: 96:[34, 55, 8] Operation: 41-33=8
Exploring Operation: 55-41=14, Resulting Numbers: [33, 34, 14]
Generated Node #0,4: 96:[33, 34, 14] Operation: 55-41=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[33, 34, 96], Operations: ['55+41=96']
Exploring Operation: 96-34=62, Resulting Numbers: [33, 62]
Generated Node #0,1,0: 96:[33, 62] Operation: 96-34=62
Exploring Operation: 33+34=67, Resulting Numbers: [96, 67]
Generated Node #0,1,1: 96:[96, 67] Operation: 33+34=67
Exploring Operation: 33+96=129, Resulting Numbers: [34, 129]
Generated Node #0,1,2: 96:[34, 129] Operation: 33+96=129
Exploring Operation: 96-33=63, Resulting Numbers: [34, 63]
Generated Node #0,1,3: 96:[34, 63] Operation: 96-33=63
Exploring Operation: 34-33=1, Resulting Numbers: [96, 1]
Generated Node #0,1,4: 96:[96, 1] Operation: 34-33=1
Moving to Node #0,1,4
Current State: 96:[96, 1], Operations: ['55+41=96', '34-33=1']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[33, 34, 55, 41], Operations: []
Exploring Operation: 55+41=96, Resulting Numbers: [33, 34, 96]
Generated Node #0,1: 96:[33, 34, 96] Operation: 55+41=96
Moving to Node #0,1
Current State: 96:[33, 34, 96], Operations: ['55+41=96']
Exploring Operation: 34-33=1, Resulting Numbers: [96, 1]
Generated Node #0,1,4: 96:[96, 1] Operation: 34-33=1
Moving to Node #0,1,4
Current State: 96:[96, 1], Operations: ['55+41=96', '34-33=1']
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
15,
49,
57,
37
] | 83 | [
"57-49=8",
"15*8=120",
"120-37=83"
] | Current State: 83:[15, 49, 57, 37], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [15, 37, 8]
Generated Node #2: [15, 37, 8] from Operation: 57-49=8
Current State: 83:[15, 37, 8], Operations: ['57-49=8']
Exploring Operation: 15*8=120, Resulting Numbers: [37, 120]
Generated Node #3: [37, 120] from Operation: 15*8=120
Current State: 83:[37, 120], Operations: ['57-49=8', '15*8=120']
Exploring Operation: 120-37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[15, 49, 57, 37], Operations: []
Exploring Operation: 49+37=86, Resulting Numbers: [15, 57, 86]
Generated Node #0,0: 83:[15, 57, 86] Operation: 49+37=86
Exploring Operation: 15+57=72, Resulting Numbers: [49, 37, 72]
Generated Node #0,1: 83:[49, 37, 72] Operation: 15+57=72
Exploring Operation: 15+37=52, Resulting Numbers: [49, 57, 52]
Generated Node #0,2: 83:[49, 57, 52] Operation: 15+37=52
Exploring Operation: 15+49=64, Resulting Numbers: [57, 37, 64]
Generated Node #0,3: 83:[57, 37, 64] Operation: 15+49=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[49, 37, 72], Operations: ['15+57=72']
Exploring Operation: 37+72=109, Resulting Numbers: [49, 109]
Generated Node #0,1,0: 83:[49, 109] Operation: 37+72=109
Exploring Operation: 49+37=86, Resulting Numbers: [72, 86]
Generated Node #0,1,1: 83:[72, 86] Operation: 49+37=86
Exploring Operation: 49-37=12, Resulting Numbers: [72, 12]
Generated Node #0,1,2: 83:[72, 12] Operation: 49-37=12
Exploring Operation: 72-37=35, Resulting Numbers: [49, 35]
Generated Node #0,1,3: 83:[49, 35] Operation: 72-37=35
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[72, 86], Operations: ['15+57=72', '49+37=86']
Exploring Operation: 72*86=6192, Resulting Numbers: [6192]
6192,83 unequal: No Solution
Exploring Operation: 72+86=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[49, 109], Operations: ['15+57=72', '37+72=109']
Exploring Operation: 49*109=5341, Resulting Numbers: [5341]
5341,83 unequal: No Solution
Exploring Operation: 49+109=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[72, 12], Operations: ['15+57=72', '49-37=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 72*12=864, Resulting Numbers: [864]
864,83 unequal: No Solution
Exploring Operation: 72+12=84, Resulting Numbers: [84]
84,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[49, 35], Operations: ['15+57=72', '72-37=35']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,83 unequal: No Solution
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[49, 57, 52], Operations: ['15+37=52']
Exploring Operation: 57-49=8, Resulting Numbers: [52, 8]
Generated Node #0,2,0: 83:[52, 8] Operation: 57-49=8
Exploring Operation: 57+52=109, Resulting Numbers: [49, 109]
Generated Node #0,2,1: 83:[49, 109] Operation: 57+52=109
Exploring Operation: 49+52=101, Resulting Numbers: [57, 101]
Generated Node #0,2,2: 83:[57, 101] Operation: 49+52=101
Exploring Operation: 49+57=106, Resulting Numbers: [52, 106]
Generated Node #0,2,3: 83:[52, 106] Operation: 49+57=106
Moving to Node #0,2,2
Current State: 83:[57, 101], Operations: ['15+37=52', '49+52=101']
Exploring Operation: 57*101=5757, Resulting Numbers: [5757]
5757,83 unequal: No Solution
Exploring Operation: 57+101=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[52, 106], Operations: ['15+37=52', '49+57=106']
Exploring Operation: 52+106=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 106-52=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 52*106=5512, Resulting Numbers: [5512]
5512,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[49, 109], Operations: ['15+37=52', '57+52=109']
Exploring Operation: 49+109=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 109-49=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 49*109=5341, Resulting Numbers: [5341]
5341,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[52, 8], Operations: ['15+37=52', '57-49=8']
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,83 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,83 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
Current State: 83:[57, 37, 64], Operations: ['15+49=64']
Exploring Operation: 57-37=20, Resulting Numbers: [64, 20]
Generated Node #0,3,0: 83:[64, 20] Operation: 57-37=20
Exploring Operation: 57+37=94, Resulting Numbers: [64, 94]
Generated Node #0,3,1: 83:[64, 94] Operation: 57+37=94
Exploring Operation: 37+64=101, Resulting Numbers: [57, 101]
Generated Node #0,3,2: 83:[57, 101] Operation: 37+64=101
Exploring Operation: 64-37=27, Resulting Numbers: [57, 27]
Generated Node #0,3,3: 83:[57, 27] Operation: 64-37=27
Moving to Node #0,3,1
Current State: 83:[64, 94], Operations: ['15+49=64', '57+37=94']
Exploring Operation: 64+94=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 94-64=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 64*94=6016, Resulting Numbers: [6016]
6016,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[57, 101], Operations: ['15+49=64', '37+64=101']
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 57*101=5757, Resulting Numbers: [5757]
5757,83 unequal: No Solution
Exploring Operation: 57+101=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[57, 27], Operations: ['15+49=64', '64-37=27']
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 57*27=1539, Resulting Numbers: [1539]
1539,83 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[64, 20], Operations: ['15+49=64', '57-37=20']
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,83 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[15, 57, 86], Operations: ['49+37=86']
Exploring Operation: 57-15=42, Resulting Numbers: [86, 42]
Generated Node #0,0,0: 83:[86, 42] Operation: 57-15=42
Exploring Operation: 15+57=72, Resulting Numbers: [86, 72]
Generated Node #0,0,1: 83:[86, 72] Operation: 15+57=72
Exploring Operation: 15+86=101, Resulting Numbers: [57, 101]
Generated Node #0,0,2: 83:[57, 101] Operation: 15+86=101
Exploring Operation: 86-15=71, Resulting Numbers: [57, 71]
Generated Node #0,0,3: 83:[57, 71] Operation: 86-15=71
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[86, 72], Operations: ['49+37=86', '15+57=72']
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 86*72=6192, Resulting Numbers: [6192]
6192,83 unequal: No Solution
Exploring Operation: 86+72=158, Resulting Numbers: [158]
158,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[57, 71], Operations: ['49+37=86', '86-15=71']
Exploring Operation: 57*71=4047, Resulting Numbers: [4047]
4047,83 unequal: No Solution
Exploring Operation: 71-57=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 57+71=128, Resulting Numbers: [128]
128,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[86, 42], Operations: ['49+37=86', '57-15=42']
Exploring Operation: 86+42=128, Resulting Numbers: [128]
128,83 unequal: No Solution
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 86*42=3612, Resulting Numbers: [3612]
3612,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[57, 101], Operations: ['49+37=86', '15+86=101']
Exploring Operation: 57*101=5757, Resulting Numbers: [5757]
5757,83 unequal: No Solution
Exploring Operation: 57+101=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
97,
99,
98,
66
] | 68 | [
"97+99=196",
"196/98=2",
"66+2=68"
] | Current State: 68:[97, 99, 98, 66], Operations: []
Exploring Operation: 97+99=196, Resulting Numbers: [98, 66, 196]
Generated Node #2: [98, 66, 196] from Operation: 97+99=196
Current State: 68:[98, 66, 196], Operations: ['97+99=196']
Exploring Operation: 196/98=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 196/98=2
Current State: 68:[66, 2], Operations: ['97+99=196', '196/98=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[97, 99, 98, 66], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [98, 66, 2]
Generated Node #0,0: 68:[98, 66, 2] Operation: 99-97=2
Exploring Operation: 98-97=1, Resulting Numbers: [99, 66, 1]
Generated Node #0,1: 68:[99, 66, 1] Operation: 98-97=1
Exploring Operation: 99-66=33, Resulting Numbers: [97, 98, 33]
Generated Node #0,2: 68:[97, 98, 33] Operation: 99-66=33
Exploring Operation: 99-98=1, Resulting Numbers: [97, 66, 1]
Generated Node #0,3: 68:[97, 66, 1] Operation: 99-98=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[98, 66, 2], Operations: ['99-97=2']
Exploring Operation: 98/2=49, Resulting Numbers: [66, 49]
Generated Node #0,0,0: 68:[66, 49] Operation: 98/2=49
Exploring Operation: 66+2=68, Resulting Numbers: [98, 68]
Generated Node #0,0,1: 68:[98, 68] Operation: 66+2=68
Exploring Operation: 98-66=32, Resulting Numbers: [2, 32]
Generated Node #0,0,2: 68:[2, 32] Operation: 98-66=32
Exploring Operation: 98-2=96, Resulting Numbers: [66, 96]
Generated Node #0,0,3: 68:[66, 96] Operation: 98-2=96
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[2, 32], Operations: ['99-97=2', '98-66=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[66, 49], Operations: ['99-97=2', '98/2=49']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 66+49=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Exploring Operation: 66*49=3234, Resulting Numbers: [3234]
3234,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[98, 68], Operations: ['99-97=2', '66+2=68']
Exploring Operation: 98*68=6664, Resulting Numbers: [6664]
6664,68 unequal: No Solution
Exploring Operation: 98+68=166, Resulting Numbers: [166]
166,68 unequal: No Solution
Exploring Operation: 98-68=30, Resulting Numbers: [30]
30,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 68:[66, 96], Operations: ['99-97=2', '98-2=96']
Exploring Operation: 66*96=6336, Resulting Numbers: [6336]
6336,68 unequal: No Solution
Exploring Operation: 66+96=162, Resulting Numbers: [162]
162,68 unequal: No Solution
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 68:[97, 66, 1], Operations: ['99-98=1']
Exploring Operation: 97*1=97, Resulting Numbers: [66, 97]
Generated Node #0,3,0: 68:[66, 97] Operation: 97*1=97
Exploring Operation: 66+1=67, Resulting Numbers: [97, 67]
Generated Node #0,3,1: 68:[97, 67] Operation: 66+1=67
Exploring Operation: 97-66=31, Resulting Numbers: [1, 31]
Generated Node #0,3,2: 68:[1, 31] Operation: 97-66=31
Exploring Operation: 97-1=96, Resulting Numbers: [66, 96]
Generated Node #0,3,3: 68:[66, 96] Operation: 97-1=96
Moving to Node #0,3,2
Current State: 68:[1, 31], Operations: ['99-98=1', '97-66=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,68 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[66, 96], Operations: ['99-98=1', '97-1=96']
Exploring Operation: 66*96=6336, Resulting Numbers: [6336]
6336,68 unequal: No Solution
Exploring Operation: 66+96=162, Resulting Numbers: [162]
162,68 unequal: No Solution
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Moving to Node #0,3,1
Current State: 68:[97, 67], Operations: ['99-98=1', '66+1=67']
Exploring Operation: 97-67=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 97+67=164, Resulting Numbers: [164]
164,68 unequal: No Solution
Exploring Operation: 97*67=6499, Resulting Numbers: [6499]
6499,68 unequal: No Solution
Moving to Node #0,3,0
Current State: 68:[66, 97], Operations: ['99-98=1', '97*1=97']
Exploring Operation: 66+97=163, Resulting Numbers: [163]
163,68 unequal: No Solution
Exploring Operation: 66*97=6402, Resulting Numbers: [6402]
6402,68 unequal: No Solution
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[99, 66, 1], Operations: ['98-97=1']
Exploring Operation: 66+1=67, Resulting Numbers: [99, 67]
Generated Node #0,1,0: 68:[99, 67] Operation: 66+1=67
Exploring Operation: 99*1=99, Resulting Numbers: [66, 99]
Generated Node #0,1,1: 68:[66, 99] Operation: 99*1=99
Exploring Operation: 99-66=33, Resulting Numbers: [1, 33]
Generated Node #0,1,2: 68:[1, 33] Operation: 99-66=33
Exploring Operation: 99-1=98, Resulting Numbers: [66, 98]
Generated Node #0,1,3: 68:[66, 98] Operation: 99-1=98
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 68:[1, 33], Operations: ['98-97=1', '99-66=33']
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[99, 67], Operations: ['98-97=1', '66+1=67']
Exploring Operation: 99*67=6633, Resulting Numbers: [6633]
6633,68 unequal: No Solution
Exploring Operation: 99-67=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 99+67=166, Resulting Numbers: [166]
166,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 68:[66, 98], Operations: ['98-97=1', '99-1=98']
Exploring Operation: 66+98=164, Resulting Numbers: [164]
164,68 unequal: No Solution
Exploring Operation: 66*98=6468, Resulting Numbers: [6468]
6468,68 unequal: No Solution
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[66, 99], Operations: ['98-97=1', '99*1=99']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 66+99=165, Resulting Numbers: [165]
165,68 unequal: No Solution
Exploring Operation: 66*99=6534, Resulting Numbers: [6534]
6534,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[97, 98, 33], Operations: ['99-66=33']
Exploring Operation: 98-97=1, Resulting Numbers: [33, 1]
Generated Node #0,2,0: 68:[33, 1] Operation: 98-97=1
Exploring Operation: 98-33=65, Resulting Numbers: [97, 65]
Generated Node #0,2,1: 68:[97, 65] Operation: 98-33=65
Exploring Operation: 97-33=64, Resulting Numbers: [98, 64]
Generated Node #0,2,2: 68:[98, 64] Operation: 97-33=64
Exploring Operation: 97+33=130, Resulting Numbers: [98, 130]
Generated Node #0,2,3: 68:[98, 130] Operation: 97+33=130
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 68:[33, 1], Operations: ['99-66=33', '98-97=1']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 68:[97, 65], Operations: ['99-66=33', '98-33=65']
Exploring Operation: 97-65=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 97*65=6305, Resulting Numbers: [6305]
6305,68 unequal: No Solution
Exploring Operation: 97+65=162, Resulting Numbers: [162]
162,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 68:[98, 64], Operations: ['99-66=33', '97-33=64']
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,68 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 68:[98, 130], Operations: ['99-66=33', '97+33=130']
Exploring Operation: 98+130=228, Resulting Numbers: [228]
228,68 unequal: No Solution
Exploring Operation: 98*130=12740, Resulting Numbers: [12740]
12740,68 unequal: No Solution
Exploring Operation: 130-98=32, Resulting Numbers: [32]
32,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
25,
1,
14,
74
] | 86 | [
"25+1=26",
"74-14=60",
"26+60=86"
] | Current State: 86:[25, 1, 14, 74], Operations: []
Exploring Operation: 25+1=26, Resulting Numbers: [14, 74, 26]
Generated Node #2: [14, 74, 26] from Operation: 25+1=26
Current State: 86:[14, 74, 26], Operations: ['25+1=26']
Exploring Operation: 74-14=60, Resulting Numbers: [26, 60]
Generated Node #3: [26, 60] from Operation: 74-14=60
Current State: 86:[26, 60], Operations: ['25+1=26', '74-14=60']
Exploring Operation: 26+60=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[25, 1, 14, 74], Operations: []
Exploring Operation: 25+14=39, Resulting Numbers: [1, 74, 39]
Generated Node #0,0: 86:[1, 74, 39] Operation: 25+14=39
Moving to Node #0,0
Current State: 86:[1, 74, 39], Operations: ['25+14=39']
Exploring Operation: 74-39=35, Resulting Numbers: [1, 35]
Generated Node #0,0,0: 86:[1, 35] Operation: 74-39=35
Moving to Node #0,0,0
Current State: 86:[1, 35], Operations: ['25+14=39', '74-39=35']
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,86 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
94,
11,
70,
51
] | 34 | [
"94+11=105",
"70*51=3570",
"3570/105=34"
] | Current State: 34:[94, 11, 70, 51], Operations: []
Exploring Operation: 94+11=105, Resulting Numbers: [70, 51, 105]
Generated Node #2: [70, 51, 105] from Operation: 94+11=105
Current State: 34:[70, 51, 105], Operations: ['94+11=105']
Exploring Operation: 70*51=3570, Resulting Numbers: [105, 3570]
Generated Node #3: [105, 3570] from Operation: 70*51=3570
Current State: 34:[105, 3570], Operations: ['94+11=105', '70*51=3570']
Exploring Operation: 3570/105=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[94, 11, 70, 51], Operations: []
Exploring Operation: 94-51=43, Resulting Numbers: [11, 70, 43]
Generated Node #0,0: 34:[11, 70, 43] Operation: 94-51=43
Exploring Operation: 70-51=19, Resulting Numbers: [94, 11, 19]
Generated Node #0,1: 34:[94, 11, 19] Operation: 70-51=19
Exploring Operation: 94-11=83, Resulting Numbers: [70, 51, 83]
Generated Node #0,2: 34:[70, 51, 83] Operation: 94-11=83
Exploring Operation: 94-70=24, Resulting Numbers: [11, 51, 24]
Generated Node #0,3: 34:[11, 51, 24] Operation: 94-70=24
Moving to Node #0,3
Current State: 34:[11, 51, 24], Operations: ['94-70=24']
Exploring Operation: 24-11=13, Resulting Numbers: [51, 13]
Generated Node #0,3,0: 34:[51, 13] Operation: 24-11=13
Exploring Operation: 51-11=40, Resulting Numbers: [24, 40]
Generated Node #0,3,1: 34:[24, 40] Operation: 51-11=40
Exploring Operation: 11+24=35, Resulting Numbers: [51, 35]
Generated Node #0,3,2: 34:[51, 35] Operation: 11+24=35
Exploring Operation: 51-24=27, Resulting Numbers: [11, 27]
Generated Node #0,3,3: 34:[11, 27] Operation: 51-24=27
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 34:[24, 40], Operations: ['94-70=24', '51-11=40']
Exploring Operation: 24*40=960, Resulting Numbers: [960]
960,34 unequal: No Solution
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,34 unequal: No Solution
No 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: 34:[11, 27], Operations: ['94-70=24', '51-24=27']
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,34 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,34 unequal: No Solution
No 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: 34:[51, 35], Operations: ['94-70=24', '11+24=35']
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 51*35=1785, Resulting Numbers: [1785]
1785,34 unequal: No Solution
No 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: 34:[51, 13], Operations: ['94-70=24', '24-11=13']
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,34 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,34 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: 34:[11, 70, 43], Operations: ['94-51=43']
Exploring Operation: 11+70=81, Resulting Numbers: [43, 81]
Generated Node #0,0,0: 34:[43, 81] Operation: 11+70=81
Exploring Operation: 43-11=32, Resulting Numbers: [70, 32]
Generated Node #0,0,1: 34:[70, 32] Operation: 43-11=32
Exploring Operation: 70-11=59, Resulting Numbers: [43, 59]
Generated Node #0,0,2: 34:[43, 59] Operation: 70-11=59
Exploring Operation: 70-43=27, Resulting Numbers: [11, 27]
Generated Node #0,0,3: 34:[11, 27] Operation: 70-43=27
Moving to Node #0,1
Current State: 34:[94, 11, 19], Operations: ['70-51=19']
Exploring Operation: 94-19=75, Resulting Numbers: [11, 75]
Generated Node #0,1,0: 34:[11, 75] Operation: 94-19=75
Exploring Operation: 19-11=8, Resulting Numbers: [94, 8]
Generated Node #0,1,1: 34:[94, 8] Operation: 19-11=8
Exploring Operation: 94-11=83, Resulting Numbers: [19, 83]
Generated Node #0,1,2: 34:[19, 83] Operation: 94-11=83
Exploring Operation: 11+19=30, Resulting Numbers: [94, 30]
Generated Node #0,1,3: 34:[94, 30] Operation: 11+19=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[11, 75], Operations: ['70-51=19', '94-19=75']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,34 unequal: No Solution
No 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: 34:[19, 83], Operations: ['70-51=19', '94-11=83']
Exploring Operation: 19*83=1577, Resulting Numbers: [1577]
1577,34 unequal: No Solution
Exploring Operation: 19+83=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,34 unequal: No Solution
No 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: 34:[94, 30], Operations: ['70-51=19', '11+19=30']
Exploring Operation: 94+30=124, Resulting Numbers: [124]
124,34 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 94*30=2820, Resulting Numbers: [2820]
2820,34 unequal: No Solution
No 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: 34:[94, 8], Operations: ['70-51=19', '19-11=8']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 94+8=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 94*8=752, Resulting Numbers: [752]
752,34 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: 34:[70, 51, 83], Operations: ['94-11=83']
Exploring Operation: 70-51=19, Resulting Numbers: [83, 19]
Generated Node #0,2,0: 34:[83, 19] Operation: 70-51=19
Exploring Operation: 83-51=32, Resulting Numbers: [70, 32]
Generated Node #0,2,1: 34:[70, 32] Operation: 83-51=32
Exploring Operation: 70+51=121, Resulting Numbers: [83, 121]
Generated Node #0,2,2: 34:[83, 121] Operation: 70+51=121
Exploring Operation: 83-70=13, Resulting Numbers: [51, 13]
Generated Node #0,2,3: 34:[51, 13] Operation: 83-70=13
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 34:[51, 13], Operations: ['94-11=83', '83-70=13']
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,34 unequal: No Solution
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,34 unequal: No Solution
No 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: 34:[70, 32], Operations: ['94-11=83', '83-51=32']
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 70*32=2240, Resulting Numbers: [2240]
2240,34 unequal: No Solution
No 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: 34:[83, 19], Operations: ['94-11=83', '70-51=19']
Exploring Operation: 83*19=1577, Resulting Numbers: [1577]
1577,34 unequal: No Solution
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 83+19=102, Resulting Numbers: [102]
102,34 unequal: No Solution
No 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: 34:[83, 121], Operations: ['94-11=83', '70+51=121']
Exploring Operation: 83*121=10043, Resulting Numbers: [10043]
10043,34 unequal: No Solution
Exploring Operation: 83+121=204, Resulting Numbers: [204]
204,34 unequal: No Solution
Exploring Operation: 121-83=38, Resulting Numbers: [38]
38,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 34:[11, 27], Operations: ['94-51=43', '70-43=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[43, 59], Operations: ['94-51=43', '70-11=59']
Exploring Operation: 43+59=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 43*59=2537, Resulting Numbers: [2537]
2537,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[70, 32], Operations: ['94-51=43', '43-11=32']
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 70*32=2240, Resulting Numbers: [2240]
2240,34 unequal: No Solution
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[43, 81], Operations: ['94-51=43', '11+70=81']
Exploring Operation: 43+81=124, Resulting Numbers: [124]
124,34 unequal: No Solution
Exploring Operation: 43*81=3483, Resulting Numbers: [3483]
3483,34 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,34 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
21,
9,
24,
41
] | 68 | [
"24-21=3",
"9*3=27",
"41+27=68"
] | Current State: 68:[21, 9, 24, 41], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [9, 41, 3]
Generated Node #2: [9, 41, 3] from Operation: 24-21=3
Current State: 68:[9, 41, 3], Operations: ['24-21=3']
Exploring Operation: 9*3=27, Resulting Numbers: [41, 27]
Generated Node #3: [41, 27] from Operation: 9*3=27
Current State: 68:[41, 27], Operations: ['24-21=3', '9*3=27']
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[21, 9, 24, 41], Operations: []
Exploring Operation: 24+41=65, Resulting Numbers: [21, 9, 65]
Generated Node #0,0: 68:[21, 9, 65] Operation: 24+41=65
Exploring Operation: 9+24=33, Resulting Numbers: [21, 41, 33]
Generated Node #0,1: 68:[21, 41, 33] Operation: 9+24=33
Exploring Operation: 24-21=3, Resulting Numbers: [9, 41, 3]
Generated Node #0,2: 68:[9, 41, 3] Operation: 24-21=3
Exploring Operation: 41-24=17, Resulting Numbers: [21, 9, 17]
Generated Node #0,3: 68:[21, 9, 17] Operation: 41-24=17
Moving to Node #0,3
Current State: 68:[21, 9, 17], Operations: ['41-24=17']
Exploring Operation: 21-17=4, Resulting Numbers: [9, 4]
Generated Node #0,3,0: 68:[9, 4] Operation: 21-17=4
Exploring Operation: 21-9=12, Resulting Numbers: [17, 12]
Generated Node #0,3,1: 68:[17, 12] Operation: 21-9=12
Exploring Operation: 21+9=30, Resulting Numbers: [17, 30]
Generated Node #0,3,2: 68:[17, 30] Operation: 21+9=30
Exploring Operation: 17-9=8, Resulting Numbers: [21, 8]
Generated Node #0,3,3: 68:[21, 8] Operation: 17-9=8
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[17, 30], Operations: ['41-24=17', '21+9=30']
Exploring Operation: 17*30=510, Resulting Numbers: [510]
510,68 unequal: No Solution
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 68:[9, 4], Operations: ['41-24=17', '21-17=4']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 68:[17, 12], Operations: ['41-24=17', '21-9=12']
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,68 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 68:[21, 8], Operations: ['41-24=17', '17-9=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 68:[21, 41, 33], Operations: ['9+24=33']
Exploring Operation: 41-21=20, Resulting Numbers: [33, 20]
Generated Node #0,1,0: 68:[33, 20] Operation: 41-21=20
Exploring Operation: 41+33=74, Resulting Numbers: [21, 74]
Generated Node #0,1,1: 68:[21, 74] Operation: 41+33=74
Exploring Operation: 41-33=8, Resulting Numbers: [21, 8]
Generated Node #0,1,2: 68:[21, 8] Operation: 41-33=8
Exploring Operation: 21+41=62, Resulting Numbers: [33, 62]
Generated Node #0,1,3: 68:[33, 62] Operation: 21+41=62
Moving to Node #0,0
Current State: 68:[21, 9, 65], Operations: ['24+41=65']
Exploring Operation: 21+9=30, Resulting Numbers: [65, 30]
Generated Node #0,0,0: 68:[65, 30] Operation: 21+9=30
Exploring Operation: 65-21=44, Resulting Numbers: [9, 44]
Generated Node #0,0,1: 68:[9, 44] Operation: 65-21=44
Exploring Operation: 9+65=74, Resulting Numbers: [21, 74]
Generated Node #0,0,2: 68:[21, 74] Operation: 9+65=74
Exploring Operation: 21-9=12, Resulting Numbers: [65, 12]
Generated Node #0,0,3: 68:[65, 12] Operation: 21-9=12
Moving to Node #0,2
Current State: 68:[9, 41, 3], Operations: ['24-21=3']
Exploring Operation: 41-9=32, Resulting Numbers: [3, 32]
Generated Node #0,2,0: 68:[3, 32] Operation: 41-9=32
Exploring Operation: 9-3=6, Resulting Numbers: [41, 6]
Generated Node #0,2,1: 68:[41, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [41, 3]
Generated Node #0,2,2: 68:[41, 3] Operation: 9/3=3
Exploring Operation: 41-3=38, Resulting Numbers: [9, 38]
Generated Node #0,2,3: 68:[9, 38] Operation: 41-3=38
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 68:[3, 32], Operations: ['24-21=3', '41-9=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,68 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 68:[41, 3], Operations: ['24-21=3', '9/3=3']
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,68 unequal: No Solution
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 68:[41, 6], Operations: ['24-21=3', '9-3=6']
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,68 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 68:[9, 38], Operations: ['24-21=3', '41-3=38']
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 68:[33, 20], Operations: ['9+24=33', '41-21=20']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 33*20=660, Resulting Numbers: [660]
660,68 unequal: No Solution
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Moving to Node #0,1,3
Current State: 68:[33, 62], Operations: ['9+24=33', '21+41=62']
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Exploring Operation: 33*62=2046, Resulting Numbers: [2046]
2046,68 unequal: No Solution
Exploring Operation: 33+62=95, Resulting Numbers: [95]
95,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[65, 30], Operations: ['24+41=65', '21+9=30']
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,68 unequal: No Solution
Exploring Operation: 65*30=1950, Resulting Numbers: [1950]
1950,68 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[21, 8], Operations: ['9+24=33', '41-33=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,68 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[65, 12], Operations: ['24+41=65', '21-9=12']
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,68 unequal: No Solution
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,68 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[21, 74], Operations: ['9+24=33', '41+33=74']
Exploring Operation: 21*74=1554, Resulting Numbers: [1554]
1554,68 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[21, 74], Operations: ['24+41=65', '9+65=74']
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 21*74=1554, Resulting Numbers: [1554]
1554,68 unequal: No Solution
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[9, 44], Operations: ['24+41=65', '65-21=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,68 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,68 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
12,
24,
63,
56
] | 83 | [
"12+24=36",
"63+56=119",
"119-36=83"
] | Current State: 83:[12, 24, 63, 56], Operations: []
Exploring Operation: 12+24=36, Resulting Numbers: [63, 56, 36]
Generated Node #2: [63, 56, 36] from Operation: 12+24=36
Current State: 83:[63, 56, 36], Operations: ['12+24=36']
Exploring Operation: 63+56=119, Resulting Numbers: [36, 119]
Generated Node #3: [36, 119] from Operation: 63+56=119
Current State: 83:[36, 119], Operations: ['12+24=36', '63+56=119']
Exploring Operation: 119-36=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[12, 24, 63, 56], Operations: []
Exploring Operation: 12+24=36, Resulting Numbers: [63, 56, 36]
Generated Node #0,0: 83:[63, 56, 36] Operation: 12+24=36
Exploring Operation: 12+63=75, Resulting Numbers: [24, 56, 75]
Generated Node #0,1: 83:[24, 56, 75] Operation: 12+63=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[63, 56, 36], Operations: ['12+24=36']
Exploring Operation: 63+36=99, Resulting Numbers: [56, 99]
Generated Node #0,0,0: 83:[56, 99] Operation: 63+36=99
Exploring Operation: 56+36=92, Resulting Numbers: [63, 92]
Generated Node #0,0,1: 83:[63, 92] Operation: 56+36=92
Moving to Node #0,0,1
Current State: 83:[63, 92], Operations: ['12+24=36', '56+36=92']
Exploring Operation: 63+92=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 92-63=29, Resulting Numbers: [29]
29,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[56, 99], Operations: ['12+24=36', '63+36=99']
Exploring Operation: 56+99=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[24, 56, 75], Operations: ['12+63=75']
Exploring Operation: 24+56=80, Resulting Numbers: [75, 80]
Generated Node #0,1,0: 83:[75, 80] Operation: 24+56=80
Exploring Operation: 24+75=99, Resulting Numbers: [56, 99]
Generated Node #0,1,1: 83:[56, 99] Operation: 24+75=99
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[75, 80], Operations: ['12+63=75', '24+56=80']
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 75+80=155, Resulting Numbers: [155]
155,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[56, 99], Operations: ['12+63=75', '24+75=99']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 56+99=155, Resulting Numbers: [155]
155,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
80,
54,
58,
5
] | 15 | [
"58-54=4",
"80/4=20",
"20-5=15"
] | Current State: 15:[80, 54, 58, 5], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [80, 5, 4]
Generated Node #2: [80, 5, 4] from Operation: 58-54=4
Current State: 15:[80, 5, 4], Operations: ['58-54=4']
Exploring Operation: 80/4=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 80/4=20
Current State: 15:[5, 20], Operations: ['58-54=4', '80/4=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[80, 54, 58, 5], Operations: []
Exploring Operation: 80-54=26, Resulting Numbers: [58, 5, 26]
Generated Node #0,0: 15:[58, 5, 26] Operation: 80-54=26
Exploring Operation: 80-58=22, Resulting Numbers: [54, 5, 22]
Generated Node #0,1: 15:[54, 5, 22] Operation: 80-58=22
Exploring Operation: 58-54=4, Resulting Numbers: [80, 5, 4]
Generated Node #0,2: 15:[80, 5, 4] Operation: 58-54=4
Exploring Operation: 80/5=16, Resulting Numbers: [54, 58, 16]
Generated Node #0,3: 15:[54, 58, 16] Operation: 80/5=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[54, 5, 22], Operations: ['80-58=22']
Exploring Operation: 54+5=59, Resulting Numbers: [22, 59]
Generated Node #0,1,0: 15:[22, 59] Operation: 54+5=59
Exploring Operation: 22-5=17, Resulting Numbers: [54, 17]
Generated Node #0,1,1: 15:[54, 17] Operation: 22-5=17
Exploring Operation: 54-5=49, Resulting Numbers: [22, 49]
Generated Node #0,1,2: 15:[22, 49] Operation: 54-5=49
Exploring Operation: 54-22=32, Resulting Numbers: [5, 32]
Generated Node #0,1,3: 15:[5, 32] Operation: 54-22=32
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 15:[5, 32], Operations: ['80-58=22', '54-22=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,15 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,15 unequal: No Solution
No 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: 15:[54, 17], Operations: ['80-58=22', '22-5=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,15 unequal: No Solution
No 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: 15:[22, 49], Operations: ['80-58=22', '54-5=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 22+49=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 22*49=1078, Resulting Numbers: [1078]
1078,15 unequal: No Solution
No 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: 15:[22, 59], Operations: ['80-58=22', '54+5=59']
Exploring Operation: 22+59=81, Resulting Numbers: [81]
81,15 unequal: No Solution
Exploring Operation: 22*59=1298, Resulting Numbers: [1298]
1298,15 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,15 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: 15:[58, 5, 26], Operations: ['80-54=26']
Exploring Operation: 58+5=63, Resulting Numbers: [26, 63]
Generated Node #0,0,0: 15:[26, 63] Operation: 58+5=63
Exploring Operation: 58-5=53, Resulting Numbers: [26, 53]
Generated Node #0,0,1: 15:[26, 53] Operation: 58-5=53
Exploring Operation: 26-5=21, Resulting Numbers: [58, 21]
Generated Node #0,0,2: 15:[58, 21] Operation: 26-5=21
Exploring Operation: 58-26=32, Resulting Numbers: [5, 32]
Generated Node #0,0,3: 15:[5, 32] Operation: 58-26=32
Moving to Node #0,0,3
Current State: 15:[5, 32], Operations: ['80-54=26', '58-26=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,15 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[58, 21], Operations: ['80-54=26', '26-5=21']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 58+21=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 58*21=1218, Resulting Numbers: [1218]
1218,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[26, 53], Operations: ['80-54=26', '58-5=53']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[26, 63], Operations: ['80-54=26', '58+5=63']
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 26*63=1638, Resulting Numbers: [1638]
1638,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[80, 5, 4], Operations: ['58-54=4']
Exploring Operation: 80/4=20, Resulting Numbers: [5, 20]
Generated Node #0,2,0: 15:[5, 20] Operation: 80/4=20
Exploring Operation: 80-4=76, Resulting Numbers: [5, 76]
Generated Node #0,2,1: 15:[5, 76] Operation: 80-4=76
Exploring Operation: 80/5=16, Resulting Numbers: [4, 16]
Generated Node #0,2,2: 15:[4, 16] Operation: 80/5=16
Exploring Operation: 80-5=75, Resulting Numbers: [4, 75]
Generated Node #0,2,3: 15:[4, 75] Operation: 80-5=75
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[4, 16], Operations: ['58-54=4', '80/5=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,15 unequal: No Solution
No 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: 15:[5, 20], Operations: ['58-54=4', '80/4=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,15 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[80, 54, 58, 5], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [80, 5, 4]
Generated Node #0,2: 15:[80, 5, 4] Operation: 58-54=4
Moving to Node #0,2
Current State: 15:[80, 5, 4], Operations: ['58-54=4']
Exploring Operation: 80/4=20, Resulting Numbers: [5, 20]
Generated Node #0,2,0: 15:[5, 20] Operation: 80/4=20
Moving to Node #0,2,0
Current State: 15:[5, 20], Operations: ['58-54=4', '80/4=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.955729 | hs_4 | sum_heuristic |
[
30,
97,
18,
4
] | 49 | [
"30-18=12",
"4*12=48",
"97-48=49"
] | Current State: 49:[30, 97, 18, 4], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [97, 4, 12]
Generated Node #2: [97, 4, 12] from Operation: 30-18=12
Current State: 49:[97, 4, 12], Operations: ['30-18=12']
Exploring Operation: 4*12=48, Resulting Numbers: [97, 48]
Generated Node #3: [97, 48] from Operation: 4*12=48
Current State: 49:[97, 48], Operations: ['30-18=12', '4*12=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[30, 97, 18, 4], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [97, 4, 12]
Generated Node #0,0: 49:[97, 4, 12] Operation: 30-18=12
Exploring Operation: 97-30=67, Resulting Numbers: [18, 4, 67]
Generated Node #0,1: 49:[18, 4, 67] Operation: 97-30=67
Exploring Operation: 97-18=79, Resulting Numbers: [30, 4, 79]
Generated Node #0,2: 49:[30, 4, 79] Operation: 97-18=79
Exploring Operation: 30+18=48, Resulting Numbers: [97, 4, 48]
Generated Node #0,3: 49:[97, 4, 48] Operation: 30+18=48
Exploring Operation: 30+4=34, Resulting Numbers: [97, 18, 34]
Generated Node #0,4: 49:[97, 18, 34] Operation: 30+4=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[18, 4, 67], Operations: ['97-30=67']
Exploring Operation: 4+67=71, Resulting Numbers: [18, 71]
Generated Node #0,1,0: 49:[18, 71] Operation: 4+67=71
Exploring Operation: 67-18=49, Resulting Numbers: [4, 49]
Generated Node #0,1,1: 49:[4, 49] Operation: 67-18=49
Exploring Operation: 18-4=14, Resulting Numbers: [67, 14]
Generated Node #0,1,2: 49:[67, 14] Operation: 18-4=14
Exploring Operation: 67-4=63, Resulting Numbers: [18, 63]
Generated Node #0,1,3: 49:[18, 63] Operation: 67-4=63
Exploring Operation: 18+4=22, Resulting Numbers: [67, 22]
Generated Node #0,1,4: 49:[67, 22] Operation: 18+4=22
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[4, 49], Operations: ['97-30=67', '67-18=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,49 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:[67, 14], Operations: ['97-30=67', '18-4=14']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,49 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,49 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 #0,1,3
Current State: 49:[18, 63], Operations: ['97-30=67', '67-4=63']
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 18*63=1134, Resulting Numbers: [1134]
1134,49 unequal: No Solution
Exploring Operation: 18+63=81, Resulting Numbers: [81]
81,49 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 #0,1,0
Current State: 49:[18, 71], Operations: ['97-30=67', '4+67=71']
Exploring Operation: 18+71=89, Resulting Numbers: [89]
89,49 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 18*71=1278, Resulting Numbers: [1278]
1278,49 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 #0,1,4
Current State: 49:[67, 22], Operations: ['97-30=67', '18+4=22']
Exploring Operation: 67*22=1474, Resulting Numbers: [1474]
1474,49 unequal: No Solution
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 67+22=89, Resulting Numbers: [89]
89,49 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: 49:[30, 4, 79], Operations: ['97-18=79']
Exploring Operation: 4+79=83, Resulting Numbers: [30, 83]
Generated Node #0,2,0: 49:[30, 83] Operation: 4+79=83
Exploring Operation: 30+4=34, Resulting Numbers: [79, 34]
Generated Node #0,2,1: 49:[79, 34] Operation: 30+4=34
Exploring Operation: 79-4=75, Resulting Numbers: [30, 75]
Generated Node #0,2,2: 49:[30, 75] Operation: 79-4=75
Exploring Operation: 79-30=49, Resulting Numbers: [4, 49]
Generated Node #0,2,3: 49:[4, 49] Operation: 79-30=49
Exploring Operation: 30-4=26, Resulting Numbers: [79, 26]
Generated Node #0,2,4: 49:[79, 26] Operation: 30-4=26
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[4, 49], Operations: ['97-18=79', '79-30=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,49 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,49 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 #0,2,1
Current State: 49:[79, 34], Operations: ['97-18=79', '30+4=34']
Exploring Operation: 79-34=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 79+34=113, Resulting Numbers: [113]
113,49 unequal: No Solution
Exploring Operation: 79*34=2686, Resulting Numbers: [2686]
2686,49 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 #0,2,2
Current State: 49:[30, 75], Operations: ['97-18=79', '79-4=75']
Exploring Operation: 30*75=2250, Resulting Numbers: [2250]
2250,49 unequal: No Solution
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 30+75=105, Resulting Numbers: [105]
105,49 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 #0,2,4
Current State: 49:[79, 26], Operations: ['97-18=79', '30-4=26']
Exploring Operation: 79+26=105, Resulting Numbers: [105]
105,49 unequal: No Solution
Exploring Operation: 79*26=2054, Resulting Numbers: [2054]
2054,49 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,49 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 #0,2,0
Current State: 49:[30, 83], Operations: ['97-18=79', '4+79=83']
Exploring Operation: 30*83=2490, Resulting Numbers: [2490]
2490,49 unequal: No Solution
Exploring Operation: 30+83=113, Resulting Numbers: [113]
113,49 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,49 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: 49:[97, 4, 48], Operations: ['30+18=48']
Exploring Operation: 97-4=93, Resulting Numbers: [48, 93]
Generated Node #0,3,0: 49:[48, 93] Operation: 97-4=93
Exploring Operation: 97+4=101, Resulting Numbers: [48, 101]
Generated Node #0,3,1: 49:[48, 101] Operation: 97+4=101
Exploring Operation: 97-48=49, Resulting Numbers: [4, 49]
Generated Node #0,3,2: 49:[4, 49] Operation: 97-48=49
Exploring Operation: 48-4=44, Resulting Numbers: [97, 44]
Generated Node #0,3,3: 49:[97, 44] Operation: 48-4=44
Exploring Operation: 4+48=52, Resulting Numbers: [97, 52]
Generated Node #0,3,4: 49:[97, 52] Operation: 4+48=52
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 49:[4, 49], Operations: ['30+18=48', '97-48=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,49 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 #0,3,0
Current State: 49:[48, 93], Operations: ['30+18=48', '97-4=93']
Exploring Operation: 48+93=141, Resulting Numbers: [141]
141,49 unequal: No Solution
Exploring Operation: 48*93=4464, Resulting Numbers: [4464]
4464,49 unequal: No Solution
Exploring Operation: 93-48=45, Resulting Numbers: [45]
45,49 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 #0,3,4
Current State: 49:[97, 52], Operations: ['30+18=48', '4+48=52']
Exploring Operation: 97+52=149, Resulting Numbers: [149]
149,49 unequal: No Solution
Exploring Operation: 97-52=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 97*52=5044, Resulting Numbers: [5044]
5044,49 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 #0,3,1
Current State: 49:[48, 101], Operations: ['30+18=48', '97+4=101']
Exploring Operation: 48*101=4848, Resulting Numbers: [4848]
4848,49 unequal: No Solution
Exploring Operation: 48+101=149, Resulting Numbers: [149]
149,49 unequal: No Solution
Exploring Operation: 101-48=53, Resulting Numbers: [53]
53,49 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 #0,3,3
Current State: 49:[97, 44], Operations: ['30+18=48', '48-4=44']
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 97+44=141, Resulting Numbers: [141]
141,49 unequal: No Solution
Exploring Operation: 97*44=4268, Resulting Numbers: [4268]
4268,49 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: 49:[97, 4, 12], Operations: ['30-18=12']
Exploring Operation: 97-4=93, Resulting Numbers: [12, 93]
Generated Node #0,0,0: 49:[12, 93] Operation: 97-4=93
Exploring Operation: 12-4=8, Resulting Numbers: [97, 8]
Generated Node #0,0,1: 49:[97, 8] Operation: 12-4=8
Exploring Operation: 12/4=3, Resulting Numbers: [97, 3]
Generated Node #0,0,2: 49:[97, 3] Operation: 12/4=3
Exploring Operation: 97-12=85, Resulting Numbers: [4, 85]
Generated Node #0,0,3: 49:[4, 85] Operation: 97-12=85
Exploring Operation: 4*12=48, Resulting Numbers: [97, 48]
Generated Node #0,0,4: 49:[97, 48] Operation: 4*12=48
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[4, 85], Operations: ['30-18=12', '97-12=85']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,49 unequal: No Solution
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,49 unequal: No Solution
Exploring Operation: 4*85=340, Resulting Numbers: [340]
340,49 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 #0,0,0
Current State: 49:[12, 93], Operations: ['30-18=12', '97-4=93']
Exploring Operation: 12*93=1116, Resulting Numbers: [1116]
1116,49 unequal: No Solution
Exploring Operation: 12+93=105, Resulting Numbers: [105]
105,49 unequal: No Solution
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,49 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 #0,0,1
Current State: 49:[97, 8], Operations: ['30-18=12', '12-4=8']
Exploring Operation: 97+8=105, Resulting Numbers: [105]
105,49 unequal: No Solution
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,49 unequal: No Solution
Exploring Operation: 97*8=776, Resulting Numbers: [776]
776,49 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 #0,0,4
Current State: 49:[97, 48], Operations: ['30-18=12', '4*12=48']
Exploring Operation: 97+48=145, Resulting Numbers: [145]
145,49 unequal: No Solution
Exploring Operation: 97*48=4656, Resulting Numbers: [4656]
4656,49 unequal: No Solution
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[30, 97, 18, 4], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [97, 4, 12]
Generated Node #0,0: 49:[97, 4, 12] Operation: 30-18=12
Moving to Node #0,0
Current State: 49:[97, 4, 12], Operations: ['30-18=12']
Exploring Operation: 4*12=48, Resulting Numbers: [97, 48]
Generated Node #0,0,4: 49:[97, 48] Operation: 4*12=48
Moving to Node #0,0,4
Current State: 49:[97, 48], Operations: ['30-18=12', '4*12=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.925347 | hs_5 | sum_heuristic |
[
19,
59,
82,
29
] | 71 | [
"59-19=40",
"82+29=111",
"111-40=71"
] | Current State: 71:[19, 59, 82, 29], Operations: []
Exploring Operation: 59-19=40, Resulting Numbers: [82, 29, 40]
Generated Node #2: [82, 29, 40] from Operation: 59-19=40
Current State: 71:[82, 29, 40], Operations: ['59-19=40']
Exploring Operation: 82+29=111, Resulting Numbers: [40, 111]
Generated Node #3: [40, 111] from Operation: 82+29=111
Current State: 71:[40, 111], Operations: ['59-19=40', '82+29=111']
Exploring Operation: 111-40=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[19, 59, 82, 29], Operations: []
Exploring Operation: 82-29=53, Resulting Numbers: [19, 59, 53]
Generated Node #0,0: 71:[19, 59, 53] Operation: 82-29=53
Exploring Operation: 59+29=88, Resulting Numbers: [19, 82, 88]
Generated Node #0,1: 71:[19, 82, 88] Operation: 59+29=88
Exploring Operation: 19+59=78, Resulting Numbers: [82, 29, 78]
Generated Node #0,2: 71:[82, 29, 78] Operation: 19+59=78
Exploring Operation: 19+29=48, Resulting Numbers: [59, 82, 48]
Generated Node #0,3: 71:[59, 82, 48] Operation: 19+29=48
Exploring Operation: 82-19=63, Resulting Numbers: [59, 29, 63]
Generated Node #0,4: 71:[59, 29, 63] Operation: 82-19=63
Moving to Node #0,3
Current State: 71:[59, 82, 48], Operations: ['19+29=48']
Exploring Operation: 82-48=34, Resulting Numbers: [59, 34]
Generated Node #0,3,0: 71:[59, 34] Operation: 82-48=34
Exploring Operation: 82-59=23, Resulting Numbers: [48, 23]
Generated Node #0,3,1: 71:[48, 23] Operation: 82-59=23
Exploring Operation: 59+48=107, Resulting Numbers: [82, 107]
Generated Node #0,3,2: 71:[82, 107] Operation: 59+48=107
Exploring Operation: 59-48=11, Resulting Numbers: [82, 11]
Generated Node #0,3,3: 71:[82, 11] Operation: 59-48=11
Exploring Operation: 82+48=130, Resulting Numbers: [59, 130]
Generated Node #0,3,4: 71:[59, 130] Operation: 82+48=130
Moving to Node #0,2
Current State: 71:[82, 29, 78], Operations: ['19+59=78']
Exploring Operation: 82-78=4, Resulting Numbers: [29, 4]
Generated Node #0,2,0: 71:[29, 4] Operation: 82-78=4
Exploring Operation: 82-29=53, Resulting Numbers: [78, 53]
Generated Node #0,2,1: 71:[78, 53] Operation: 82-29=53
Exploring Operation: 29+78=107, Resulting Numbers: [82, 107]
Generated Node #0,2,2: 71:[82, 107] Operation: 29+78=107
Exploring Operation: 78-29=49, Resulting Numbers: [82, 49]
Generated Node #0,2,3: 71:[82, 49] Operation: 78-29=49
Exploring Operation: 82+29=111, Resulting Numbers: [78, 111]
Generated Node #0,2,4: 71:[78, 111] Operation: 82+29=111
Moving to Node #0,4
Current State: 71:[59, 29, 63], Operations: ['82-19=63']
Exploring Operation: 59+63=122, Resulting Numbers: [29, 122]
Generated Node #0,4,0: 71:[29, 122] Operation: 59+63=122
Exploring Operation: 59+29=88, Resulting Numbers: [63, 88]
Generated Node #0,4,1: 71:[63, 88] Operation: 59+29=88
Exploring Operation: 29+63=92, Resulting Numbers: [59, 92]
Generated Node #0,4,2: 71:[59, 92] Operation: 29+63=92
Exploring Operation: 59-29=30, Resulting Numbers: [63, 30]
Generated Node #0,4,3: 71:[63, 30] Operation: 59-29=30
Exploring Operation: 63-29=34, Resulting Numbers: [59, 34]
Generated Node #0,4,4: 71:[59, 34] Operation: 63-29=34
Moving to Node #0,1
Current State: 71:[19, 82, 88], Operations: ['59+29=88']
Exploring Operation: 82-19=63, Resulting Numbers: [88, 63]
Generated Node #0,1,0: 71:[88, 63] Operation: 82-19=63
Exploring Operation: 88-82=6, Resulting Numbers: [19, 6]
Generated Node #0,1,1: 71:[19, 6] Operation: 88-82=6
Exploring Operation: 19+88=107, Resulting Numbers: [82, 107]
Generated Node #0,1,2: 71:[82, 107] Operation: 19+88=107
Exploring Operation: 19+82=101, Resulting Numbers: [88, 101]
Generated Node #0,1,3: 71:[88, 101] Operation: 19+82=101
Exploring Operation: 88-19=69, Resulting Numbers: [82, 69]
Generated Node #0,1,4: 71:[82, 69] Operation: 88-19=69
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 71:[82, 69], Operations: ['59+29=88', '88-19=69']
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,71 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[88, 63], Operations: ['59+29=88', '82-19=63']
Exploring Operation: 88-63=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 88*63=5544, Resulting Numbers: [5544]
5544,71 unequal: No Solution
Exploring Operation: 88+63=151, Resulting Numbers: [151]
151,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[82, 107], Operations: ['59+29=88', '19+88=107']
Exploring Operation: 82*107=8774, Resulting Numbers: [8774]
8774,71 unequal: No Solution
Exploring Operation: 82+107=189, Resulting Numbers: [189]
189,71 unequal: No Solution
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 71:[88, 101], Operations: ['59+29=88', '19+82=101']
Exploring Operation: 88+101=189, Resulting Numbers: [189]
189,71 unequal: No Solution
Exploring Operation: 88*101=8888, Resulting Numbers: [8888]
8888,71 unequal: No Solution
Exploring Operation: 101-88=13, Resulting Numbers: [13]
13,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[19, 6], Operations: ['59+29=88', '88-82=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,71 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: 71:[19, 59, 53], Operations: ['82-29=53']
Exploring Operation: 59+53=112, Resulting Numbers: [19, 112]
Generated Node #0,0,0: 71:[19, 112] Operation: 59+53=112
Exploring Operation: 19+59=78, Resulting Numbers: [53, 78]
Generated Node #0,0,1: 71:[53, 78] Operation: 19+59=78
Exploring Operation: 19+53=72, Resulting Numbers: [59, 72]
Generated Node #0,0,2: 71:[59, 72] Operation: 19+53=72
Exploring Operation: 53-19=34, Resulting Numbers: [59, 34]
Generated Node #0,0,3: 71:[59, 34] Operation: 53-19=34
Exploring Operation: 59-19=40, Resulting Numbers: [53, 40]
Generated Node #0,0,4: 71:[53, 40] Operation: 59-19=40
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[59, 72], Operations: ['82-29=53', '19+53=72']
Exploring Operation: 59*72=4248, Resulting Numbers: [4248]
4248,71 unequal: No Solution
Exploring Operation: 72-59=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 59+72=131, Resulting Numbers: [131]
131,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[53, 78], Operations: ['82-29=53', '19+59=78']
Exploring Operation: 53+78=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Exploring Operation: 53*78=4134, Resulting Numbers: [4134]
4134,71 unequal: No Solution
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 71:[59, 34], Operations: ['82-29=53', '53-19=34']
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,71 unequal: No Solution
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 71:[53, 40], Operations: ['82-29=53', '59-19=40']
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,71 unequal: No Solution
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[19, 112], Operations: ['82-29=53', '59+53=112']
Exploring Operation: 112-19=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Exploring Operation: 19*112=2128, Resulting Numbers: [2128]
2128,71 unequal: No Solution
Exploring Operation: 19+112=131, Resulting Numbers: [131]
131,71 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: 71:[78, 53], Operations: ['19+59=78', '82-29=53']
Exploring Operation: 78+53=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 78*53=4134, Resulting Numbers: [4134]
4134,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[63, 88], Operations: ['82-19=63', '59+29=88']
Exploring Operation: 63+88=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 63*88=5544, Resulting Numbers: [5544]
5544,71 unequal: No Solution
Exploring Operation: 88-63=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[82, 49], Operations: ['19+59=78', '78-29=49']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 82*49=4018, Resulting Numbers: [4018]
4018,71 unequal: No Solution
Exploring Operation: 82+49=131, Resulting Numbers: [131]
131,71 unequal: No Solution
Moving to Node #0,4,2
Current State: 71:[59, 92], Operations: ['82-19=63', '29+63=92']
Exploring Operation: 92-59=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 59+92=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 59*92=5428, Resulting Numbers: [5428]
5428,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[82, 107], Operations: ['19+29=48', '59+48=107']
Exploring Operation: 82*107=8774, Resulting Numbers: [8774]
8774,71 unequal: No Solution
Exploring Operation: 82+107=189, Resulting Numbers: [189]
189,71 unequal: No Solution
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[82, 107], Operations: ['19+59=78', '29+78=107']
Exploring Operation: 82*107=8774, Resulting Numbers: [8774]
8774,71 unequal: No Solution
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 82+107=189, Resulting Numbers: [189]
189,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[78, 111], Operations: ['19+59=78', '82+29=111']
Exploring Operation: 78*111=8658, Resulting Numbers: [8658]
8658,71 unequal: No Solution
Exploring Operation: 111-78=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 78+111=189, Resulting Numbers: [189]
189,71 unequal: No Solution
Moving to Node #0,4,4
Current State: 71:[59, 34], Operations: ['82-19=63', '63-29=34']
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,71 unequal: No Solution
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Moving to Node #0,4,3
Current State: 71:[63, 30], Operations: ['82-19=63', '59-29=30']
Exploring Operation: 63*30=1890, Resulting Numbers: [1890]
1890,71 unequal: No Solution
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[59, 34], Operations: ['19+29=48', '82-48=34']
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,71 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[48, 23], Operations: ['19+29=48', '82-59=23']
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,71 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[19, 59, 82, 29], Operations: []
Exploring Operation: 19+29=48, Resulting Numbers: [59, 82, 48]
Generated Node #0,3: 71:[59, 82, 48] Operation: 19+29=48
Moving to Node #0,3
Current State: 71:[59, 82, 48], Operations: ['19+29=48']
Exploring Operation: 82-59=23, Resulting Numbers: [48, 23]
Generated Node #0,3,1: 71:[48, 23] Operation: 82-59=23
Moving to Node #0,3,1
Current State: 71:[48, 23], Operations: ['19+29=48', '82-59=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 0.915799 | hs_5 | mult_heuristic |
[
58,
8,
37,
64
] | 87 | [
"58+37=95",
"64/8=8",
"95-8=87"
] | Current State: 87:[58, 8, 37, 64], Operations: []
Exploring Operation: 58+37=95, Resulting Numbers: [8, 64, 95]
Generated Node #2: [8, 64, 95] from Operation: 58+37=95
Current State: 87:[8, 64, 95], Operations: ['58+37=95']
Exploring Operation: 64/8=8, Resulting Numbers: [95, 8]
Generated Node #3: [95, 8] from Operation: 64/8=8
Current State: 87:[95, 8], Operations: ['58+37=95', '64/8=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[58, 8, 37, 64], Operations: []
Exploring Operation: 58-37=21, Resulting Numbers: [8, 64, 21]
Generated Node #0,0: 87:[8, 64, 21] Operation: 58-37=21
Exploring Operation: 58+37=95, Resulting Numbers: [8, 64, 95]
Generated Node #0,1: 87:[8, 64, 95] Operation: 58+37=95
Exploring Operation: 64-37=27, Resulting Numbers: [58, 8, 27]
Generated Node #0,2: 87:[58, 8, 27] Operation: 64-37=27
Exploring Operation: 64-58=6, Resulting Numbers: [8, 37, 6]
Generated Node #0,3: 87:[8, 37, 6] Operation: 64-58=6
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[8, 37, 6], Operations: ['64-58=6']
Exploring Operation: 37-8=29, Resulting Numbers: [6, 29]
Generated Node #0,3,0: 87:[6, 29] Operation: 37-8=29
Exploring Operation: 8-6=2, Resulting Numbers: [37, 2]
Generated Node #0,3,1: 87:[37, 2] Operation: 8-6=2
Exploring Operation: 8+37=45, Resulting Numbers: [6, 45]
Generated Node #0,3,2: 87:[6, 45] Operation: 8+37=45
Exploring Operation: 37-6=31, Resulting Numbers: [8, 31]
Generated Node #0,3,3: 87:[8, 31] Operation: 37-6=31
Moving to Node #0,3,0
Current State: 87:[6, 29], Operations: ['64-58=6', '37-8=29']
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,87 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,87 unequal: No Solution
Moving to Node #0,3,3
Current State: 87:[8, 31], Operations: ['64-58=6', '37-6=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,87 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[37, 2], Operations: ['64-58=6', '8-6=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,87 unequal: No Solution
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Moving to Node #0,3,2
Current State: 87:[6, 45], Operations: ['64-58=6', '8+37=45']
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,87 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[8, 64, 21], Operations: ['58-37=21']
Exploring Operation: 64-21=43, Resulting Numbers: [8, 43]
Generated Node #0,0,0: 87:[8, 43] Operation: 64-21=43
Exploring Operation: 64+21=85, Resulting Numbers: [8, 85]
Generated Node #0,0,1: 87:[8, 85] Operation: 64+21=85
Exploring Operation: 64/8=8, Resulting Numbers: [21, 8]
Generated Node #0,0,2: 87:[21, 8] Operation: 64/8=8
Exploring Operation: 8+64=72, Resulting Numbers: [21, 72]
Generated Node #0,0,3: 87:[21, 72] Operation: 8+64=72
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[8, 85], Operations: ['58-37=21', '64+21=85']
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Exploring Operation: 8*85=680, Resulting Numbers: [680]
680,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[21, 8], Operations: ['58-37=21', '64/8=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,87 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[8, 43], Operations: ['58-37=21', '64-21=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,87 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 87:[21, 72], Operations: ['58-37=21', '8+64=72']
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Exploring Operation: 21*72=1512, Resulting Numbers: [1512]
1512,87 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[8, 64, 95], Operations: ['58+37=95']
Exploring Operation: 95-8=87, Resulting Numbers: [64, 87]
Generated Node #0,1,0: 87:[64, 87] Operation: 95-8=87
Exploring Operation: 8+64=72, Resulting Numbers: [95, 72]
Generated Node #0,1,1: 87:[95, 72] Operation: 8+64=72
Exploring Operation: 95-64=31, Resulting Numbers: [8, 31]
Generated Node #0,1,2: 87:[8, 31] Operation: 95-64=31
Exploring Operation: 64/8=8, Resulting Numbers: [95, 8]
Generated Node #0,1,3: 87:[95, 8] Operation: 64/8=8
Moving to Node #0,1,2
Current State: 87:[8, 31], Operations: ['58+37=95', '95-64=31']
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,87 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,87 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[95, 8], Operations: ['58+37=95', '64/8=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[58, 8, 37, 64], Operations: []
Exploring Operation: 58+37=95, Resulting Numbers: [8, 64, 95]
Generated Node #0,1: 87:[8, 64, 95] Operation: 58+37=95
Moving to Node #0,1
Current State: 87:[8, 64, 95], Operations: ['58+37=95']
Exploring Operation: 64/8=8, Resulting Numbers: [95, 8]
Generated Node #0,1,3: 87:[95, 8] Operation: 64/8=8
Moving to Node #0,1,3
Current State: 87:[95, 8], Operations: ['58+37=95', '64/8=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_4 | mult_heuristic |
[
22,
64,
31,
62
] | 40 | [
"64-22=42",
"62/31=2",
"42-2=40"
] | Current State: 40:[22, 64, 31, 62], Operations: []
Exploring Operation: 64-22=42, Resulting Numbers: [31, 62, 42]
Generated Node #2: [31, 62, 42] from Operation: 64-22=42
Current State: 40:[31, 62, 42], Operations: ['64-22=42']
Exploring Operation: 62/31=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 62/31=2
Current State: 40:[42, 2], Operations: ['64-22=42', '62/31=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[22, 64, 31, 62], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [22, 62, 33]
Generated Node #0,0: 40:[22, 62, 33] Operation: 64-31=33
Exploring Operation: 62/31=2, Resulting Numbers: [22, 64, 2]
Generated Node #0,1: 40:[22, 64, 2] Operation: 62/31=2
Exploring Operation: 64-62=2, Resulting Numbers: [22, 31, 2]
Generated Node #0,2: 40:[22, 31, 2] Operation: 64-62=2
Moving to Node #0,2
Current State: 40:[22, 31, 2], Operations: ['64-62=2']
Exploring Operation: 22-2=20, Resulting Numbers: [31, 20]
Generated Node #0,2,0: 40:[31, 20] Operation: 22-2=20
Exploring Operation: 31-22=9, Resulting Numbers: [2, 9]
Generated Node #0,2,1: 40:[2, 9] Operation: 31-22=9
Exploring Operation: 31+2=33, Resulting Numbers: [22, 33]
Generated Node #0,2,2: 40:[22, 33] Operation: 31+2=33
Moving to Node #0,1
Current State: 40:[22, 64, 2], Operations: ['62/31=2']
Exploring Operation: 64-22=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 40:[2, 42] Operation: 64-22=42
Exploring Operation: 22-2=20, Resulting Numbers: [64, 20]
Generated Node #0,1,1: 40:[64, 20] Operation: 22-2=20
Exploring Operation: 64/2=32, Resulting Numbers: [22, 32]
Generated Node #0,1,2: 40:[22, 32] Operation: 64/2=32
Moving to Node #0,0
Current State: 40:[22, 62, 33], Operations: ['64-31=33']
Exploring Operation: 62-22=40, Resulting Numbers: [33, 40]
Generated Node #0,0,0: 40:[33, 40] Operation: 62-22=40
Exploring Operation: 62-33=29, Resulting Numbers: [22, 29]
Generated Node #0,0,1: 40:[22, 29] Operation: 62-33=29
Exploring Operation: 33-22=11, Resulting Numbers: [62, 11]
Generated Node #0,0,2: 40:[62, 11] Operation: 33-22=11
Moving to Node #0,2,1
Current State: 40:[2, 9], Operations: ['64-62=2', '31-22=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[2, 42], Operations: ['62/31=2', '64-22=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[22, 64, 31, 62], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [22, 64, 2]
Generated Node #0,1: 40:[22, 64, 2] Operation: 62/31=2
Moving to Node #0,1
Current State: 40:[22, 64, 2], Operations: ['62/31=2']
Exploring Operation: 64-22=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 40:[2, 42] Operation: 64-22=42
Moving to Node #0,1,0
Current State: 40:[2, 42], Operations: ['62/31=2', '64-22=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.982639 | hs_3 | sum_heuristic |
[
52,
30,
34,
2
] | 71 | [
"52+34=86",
"30/2=15",
"86-15=71"
] | Current State: 71:[52, 30, 34, 2], Operations: []
Exploring Operation: 52+34=86, Resulting Numbers: [30, 2, 86]
Generated Node #2: [30, 2, 86] from Operation: 52+34=86
Current State: 71:[30, 2, 86], Operations: ['52+34=86']
Exploring Operation: 30/2=15, Resulting Numbers: [86, 15]
Generated Node #3: [86, 15] from Operation: 30/2=15
Current State: 71:[86, 15], Operations: ['52+34=86', '30/2=15']
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[52, 30, 34, 2], Operations: []
Exploring Operation: 52+2=54, Resulting Numbers: [30, 34, 54]
Generated Node #0,0: 71:[30, 34, 54] Operation: 52+2=54
Exploring Operation: 30*2=60, Resulting Numbers: [52, 34, 60]
Generated Node #0,1: 71:[52, 34, 60] Operation: 30*2=60
Exploring Operation: 34*2=68, Resulting Numbers: [52, 30, 68]
Generated Node #0,2: 71:[52, 30, 68] Operation: 34*2=68
Exploring Operation: 30+34=64, Resulting Numbers: [52, 2, 64]
Generated Node #0,3: 71:[52, 2, 64] Operation: 30+34=64
Moving to Node #0,2
Current State: 71:[52, 30, 68], Operations: ['34*2=68']
Exploring Operation: 68-30=38, Resulting Numbers: [52, 38]
Generated Node #0,2,0: 71:[52, 38] Operation: 68-30=38
Exploring Operation: 52-30=22, Resulting Numbers: [68, 22]
Generated Node #0,2,1: 71:[68, 22] Operation: 52-30=22
Exploring Operation: 30+68=98, Resulting Numbers: [52, 98]
Generated Node #0,2,2: 71:[52, 98] Operation: 30+68=98
Exploring Operation: 52+30=82, Resulting Numbers: [68, 82]
Generated Node #0,2,3: 71:[68, 82] Operation: 52+30=82
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 71:[68, 82], Operations: ['34*2=68', '52+30=82']
Exploring Operation: 82-68=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 68+82=150, Resulting Numbers: [150]
150,71 unequal: No Solution
Exploring Operation: 68*82=5576, Resulting Numbers: [5576]
5576,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 71:[52, 98], Operations: ['34*2=68', '30+68=98']
Exploring Operation: 52*98=5096, Resulting Numbers: [5096]
5096,71 unequal: No Solution
Exploring Operation: 52+98=150, Resulting Numbers: [150]
150,71 unequal: No Solution
Exploring Operation: 98-52=46, Resulting Numbers: [46]
46,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 71:[52, 38], Operations: ['34*2=68', '68-30=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,71 unequal: No Solution
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,71 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 71:[68, 22], Operations: ['34*2=68', '52-30=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,71 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,71 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: 71:[52, 34, 60], Operations: ['30*2=60']
Exploring Operation: 60-34=26, Resulting Numbers: [52, 26]
Generated Node #0,1,0: 71:[52, 26] Operation: 60-34=26
Exploring Operation: 52+34=86, Resulting Numbers: [60, 86]
Generated Node #0,1,1: 71:[60, 86] Operation: 52+34=86
Exploring Operation: 52-34=18, Resulting Numbers: [60, 18]
Generated Node #0,1,2: 71:[60, 18] Operation: 52-34=18
Exploring Operation: 34+60=94, Resulting Numbers: [52, 94]
Generated Node #0,1,3: 71:[52, 94] Operation: 34+60=94
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[60, 86], Operations: ['30*2=60', '52+34=86']
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,71 unequal: No Solution
Exploring Operation: 60*86=5160, Resulting Numbers: [5160]
5160,71 unequal: No Solution
Exploring Operation: 60+86=146, Resulting Numbers: [146]
146,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 71:[52, 94], Operations: ['30*2=60', '34+60=94']
Exploring Operation: 52*94=4888, Resulting Numbers: [4888]
4888,71 unequal: No Solution
Exploring Operation: 52+94=146, Resulting Numbers: [146]
146,71 unequal: No Solution
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[52, 26], Operations: ['30*2=60', '60-34=26']
Exploring Operation: 52+26=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 52*26=1352, Resulting Numbers: [1352]
1352,71 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[60, 18], Operations: ['30*2=60', '52-34=18']
Exploring Operation: 60*18=1080, Resulting Numbers: [1080]
1080,71 unequal: No Solution
Exploring Operation: 60+18=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,71 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: 71:[52, 2, 64], Operations: ['30+34=64']
Exploring Operation: 2+64=66, Resulting Numbers: [52, 66]
Generated Node #0,3,0: 71:[52, 66] Operation: 2+64=66
Exploring Operation: 52+2=54, Resulting Numbers: [64, 54]
Generated Node #0,3,1: 71:[64, 54] Operation: 52+2=54
Exploring Operation: 52-2=50, Resulting Numbers: [64, 50]
Generated Node #0,3,2: 71:[64, 50] Operation: 52-2=50
Exploring Operation: 64-2=62, Resulting Numbers: [52, 62]
Generated Node #0,3,3: 71:[52, 62] Operation: 64-2=62
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 71:[52, 66], Operations: ['30+34=64', '2+64=66']
Exploring Operation: 52+66=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 52*66=3432, Resulting Numbers: [3432]
3432,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 71:[64, 54], Operations: ['30+34=64', '52+2=54']
Exploring Operation: 64+54=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 64-54=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 64*54=3456, Resulting Numbers: [3456]
3456,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 71:[64, 50], Operations: ['30+34=64', '52-2=50']
Exploring Operation: 64*50=3200, Resulting Numbers: [3200]
3200,71 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 64+50=114, Resulting Numbers: [114]
114,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 71:[52, 62], Operations: ['30+34=64', '64-2=62']
Exploring Operation: 52*62=3224, Resulting Numbers: [3224]
3224,71 unequal: No Solution
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 52+62=114, Resulting Numbers: [114]
114,71 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: 71:[30, 34, 54], Operations: ['52+2=54']
Exploring Operation: 30+54=84, Resulting Numbers: [34, 84]
Generated Node #0,0,0: 71:[34, 84] Operation: 30+54=84
Exploring Operation: 30+34=64, Resulting Numbers: [54, 64]
Generated Node #0,0,1: 71:[54, 64] Operation: 30+34=64
Exploring Operation: 34+54=88, Resulting Numbers: [30, 88]
Generated Node #0,0,2: 71:[30, 88] Operation: 34+54=88
Exploring Operation: 34-30=4, Resulting Numbers: [54, 4]
Generated Node #0,0,3: 71:[54, 4] Operation: 34-30=4
Moving to Node #0,0,1
Current State: 71:[54, 64], Operations: ['52+2=54', '30+34=64']
Exploring Operation: 54+64=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 64-54=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 54*64=3456, Resulting Numbers: [3456]
3456,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[34, 84], Operations: ['52+2=54', '30+54=84']
Exploring Operation: 34+84=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 34*84=2856, Resulting Numbers: [2856]
2856,71 unequal: No Solution
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[30, 88], Operations: ['52+2=54', '34+54=88']
Exploring Operation: 30*88=2640, Resulting Numbers: [2640]
2640,71 unequal: No Solution
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,71 unequal: No Solution
Exploring Operation: 30+88=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[54, 4], Operations: ['52+2=54', '34-30=4']
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,71 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,71 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,71 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
12,
91,
35,
59
] | 79 | [
"12+91=103",
"59-35=24",
"103-24=79"
] | Current State: 79:[12, 91, 35, 59], Operations: []
Exploring Operation: 12+91=103, Resulting Numbers: [35, 59, 103]
Generated Node #2: [35, 59, 103] from Operation: 12+91=103
Current State: 79:[35, 59, 103], Operations: ['12+91=103']
Exploring Operation: 59-35=24, Resulting Numbers: [103, 24]
Generated Node #3: [103, 24] from Operation: 59-35=24
Current State: 79:[103, 24], Operations: ['12+91=103', '59-35=24']
Exploring Operation: 103-24=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[12, 91, 35, 59], Operations: []
Exploring Operation: 35-12=23, Resulting Numbers: [91, 59, 23]
Generated Node #0,0: 79:[91, 59, 23] Operation: 35-12=23
Exploring Operation: 12+91=103, Resulting Numbers: [35, 59, 103]
Generated Node #0,1: 79:[35, 59, 103] Operation: 12+91=103
Exploring Operation: 12+59=71, Resulting Numbers: [91, 35, 71]
Generated Node #0,2: 79:[91, 35, 71] Operation: 12+59=71
Exploring Operation: 91-12=79, Resulting Numbers: [35, 59, 79]
Generated Node #0,3: 79:[35, 59, 79] Operation: 91-12=79
Exploring Operation: 12+35=47, Resulting Numbers: [91, 59, 47]
Generated Node #0,4: 79:[91, 59, 47] Operation: 12+35=47
Moving to Node #0,2
Current State: 79:[91, 35, 71], Operations: ['12+59=71']
Exploring Operation: 71-35=36, Resulting Numbers: [91, 36]
Generated Node #0,2,0: 79:[91, 36] Operation: 71-35=36
Exploring Operation: 35+71=106, Resulting Numbers: [91, 106]
Generated Node #0,2,1: 79:[91, 106] Operation: 35+71=106
Exploring Operation: 91+35=126, Resulting Numbers: [71, 126]
Generated Node #0,2,2: 79:[71, 126] Operation: 91+35=126
Exploring Operation: 91-35=56, Resulting Numbers: [71, 56]
Generated Node #0,2,3: 79:[71, 56] Operation: 91-35=56
Exploring Operation: 91-71=20, Resulting Numbers: [35, 20]
Generated Node #0,2,4: 79:[35, 20] Operation: 91-71=20
Moving to Node #0,4
Current State: 79:[91, 59, 47], Operations: ['12+35=47']
Exploring Operation: 91-47=44, Resulting Numbers: [59, 44]
Generated Node #0,4,0: 79:[59, 44] Operation: 91-47=44
Exploring Operation: 59-47=12, Resulting Numbers: [91, 12]
Generated Node #0,4,1: 79:[91, 12] Operation: 59-47=12
Exploring Operation: 59+47=106, Resulting Numbers: [91, 106]
Generated Node #0,4,2: 79:[91, 106] Operation: 59+47=106
Exploring Operation: 91+47=138, Resulting Numbers: [59, 138]
Generated Node #0,4,3: 79:[59, 138] Operation: 91+47=138
Exploring Operation: 91-59=32, Resulting Numbers: [47, 32]
Generated Node #0,4,4: 79:[47, 32] Operation: 91-59=32
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[91, 106], Operations: ['12+35=47', '59+47=106']
Exploring Operation: 91+106=197, Resulting Numbers: [197]
197,79 unequal: No Solution
Exploring Operation: 106-91=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 91*106=9646, Resulting Numbers: [9646]
9646,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[59, 44], Operations: ['12+35=47', '91-47=44']
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,79 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[91, 12], Operations: ['12+35=47', '59-47=12']
Exploring Operation: 91*12=1092, Resulting Numbers: [1092]
1092,79 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[12, 91, 35, 59], Operations: []
Exploring Operation: 12+35=47, Resulting Numbers: [91, 59, 47]
Generated Node #0,4: 79:[91, 59, 47] Operation: 12+35=47
Moving to Node #0,4
Current State: 79:[91, 59, 47], Operations: ['12+35=47']
Exploring Operation: 59-47=12, Resulting Numbers: [91, 12]
Generated Node #0,4,1: 79:[91, 12] Operation: 59-47=12
Moving to Node #0,4,1
Current State: 79:[91, 12], Operations: ['12+35=47', '59-47=12']
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
73,
72,
69,
8
] | 76 | [
"73-72=1",
"69+8=77",
"77-1=76"
] | Current State: 76:[73, 72, 69, 8], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [69, 8, 1]
Generated Node #2: [69, 8, 1] from Operation: 73-72=1
Current State: 76:[69, 8, 1], Operations: ['73-72=1']
Exploring Operation: 69+8=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 69+8=77
Current State: 76:[1, 77], Operations: ['73-72=1', '69+8=77']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[73, 72, 69, 8], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [72, 8, 4]
Generated Node #0,0: 76:[72, 8, 4] Operation: 73-69=4
Exploring Operation: 69+8=77, Resulting Numbers: [73, 72, 77]
Generated Node #0,1: 76:[73, 72, 77] Operation: 69+8=77
Exploring Operation: 72-69=3, Resulting Numbers: [73, 8, 3]
Generated Node #0,2: 76:[73, 8, 3] Operation: 72-69=3
Moving to Node #0,0
Current State: 76:[72, 8, 4], Operations: ['73-69=4']
Exploring Operation: 8-4=4, Resulting Numbers: [72, 4]
Generated Node #0,0,0: 76:[72, 4] Operation: 8-4=4
Exploring Operation: 72+4=76, Resulting Numbers: [8, 76]
Generated Node #0,0,1: 76:[8, 76] Operation: 72+4=76
Exploring Operation: 72+8=80, Resulting Numbers: [4, 80]
Generated Node #0,0,2: 76:[4, 80] Operation: 72+8=80
Moving to Node #0,1
Current State: 76:[73, 72, 77], Operations: ['69+8=77']
Exploring Operation: 73-72=1, Resulting Numbers: [77, 1]
Generated Node #0,1,0: 76:[77, 1] Operation: 73-72=1
Exploring Operation: 77-72=5, Resulting Numbers: [73, 5]
Generated Node #0,1,1: 76:[73, 5] Operation: 77-72=5
Exploring Operation: 77-73=4, Resulting Numbers: [72, 4]
Generated Node #0,1,2: 76:[72, 4] Operation: 77-73=4
Moving to Node #0,2
Current State: 76:[73, 8, 3], Operations: ['72-69=3']
Exploring Operation: 8-3=5, Resulting Numbers: [73, 5]
Generated Node #0,2,0: 76:[73, 5] Operation: 8-3=5
Exploring Operation: 73+8=81, Resulting Numbers: [3, 81]
Generated Node #0,2,1: 76:[3, 81] Operation: 73+8=81
Exploring Operation: 73+3=76, Resulting Numbers: [8, 76]
Generated Node #0,2,2: 76:[8, 76] Operation: 73+3=76
Moving to Node #0,1,0
Current State: 76:[77, 1], Operations: ['69+8=77', '73-72=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[73, 72, 69, 8], Operations: []
Exploring Operation: 69+8=77, Resulting Numbers: [73, 72, 77]
Generated Node #0,1: 76:[73, 72, 77] Operation: 69+8=77
Moving to Node #0,1
Current State: 76:[73, 72, 77], Operations: ['69+8=77']
Exploring Operation: 73-72=1, Resulting Numbers: [77, 1]
Generated Node #0,1,0: 76:[77, 1] Operation: 73-72=1
Moving to Node #0,1,0
Current State: 76:[77, 1], Operations: ['69+8=77', '73-72=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 0.983507 | hs_3 | sum_heuristic |
[
45,
90,
30,
33
] | 27 | [
"90/45=2",
"30*2=60",
"60-33=27"
] | Current State: 27:[45, 90, 30, 33], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [30, 33, 2]
Generated Node #2: [30, 33, 2] from Operation: 90/45=2
Current State: 27:[30, 33, 2], Operations: ['90/45=2']
Exploring Operation: 30*2=60, Resulting Numbers: [33, 60]
Generated Node #3: [33, 60] from Operation: 30*2=60
Current State: 27:[33, 60], Operations: ['90/45=2', '30*2=60']
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[45, 90, 30, 33], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [30, 33, 45]
Generated Node #0,0: 27:[30, 33, 45] Operation: 90-45=45
Exploring Operation: 90/30=3, Resulting Numbers: [45, 33, 3]
Generated Node #0,1: 27:[45, 33, 3] Operation: 90/30=3
Exploring Operation: 90/45=2, Resulting Numbers: [30, 33, 2]
Generated Node #0,2: 27:[30, 33, 2] Operation: 90/45=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[30, 33, 2], Operations: ['90/45=2']
Exploring Operation: 30-2=28, Resulting Numbers: [33, 28]
Generated Node #0,2,0: 27:[33, 28] Operation: 30-2=28
Exploring Operation: 33-30=3, Resulting Numbers: [2, 3]
Generated Node #0,2,1: 27:[2, 3] Operation: 33-30=3
Exploring Operation: 33-2=31, Resulting Numbers: [30, 31]
Generated Node #0,2,2: 27:[30, 31] Operation: 33-2=31
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 27:[2, 3], Operations: ['90/45=2', '33-30=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 27:[33, 28], Operations: ['90/45=2', '30-2=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,27 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 27:[30, 31], Operations: ['90/45=2', '33-2=31']
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,27 unequal: No Solution
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,27 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[45, 33, 3], Operations: ['90/30=3']
Exploring Operation: 45/3=15, Resulting Numbers: [33, 15]
Generated Node #0,1,0: 27:[33, 15] Operation: 45/3=15
Exploring Operation: 33/3=11, Resulting Numbers: [45, 11]
Generated Node #0,1,1: 27:[45, 11] Operation: 33/3=11
Exploring Operation: 45-33=12, Resulting Numbers: [3, 12]
Generated Node #0,1,2: 27:[3, 12] Operation: 45-33=12
Moving to Node #0,1,2
Current State: 27:[3, 12], Operations: ['90/30=3', '45-33=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[33, 15], Operations: ['90/30=3', '45/3=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,27 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[45, 11], Operations: ['90/30=3', '33/3=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,27 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,27 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[30, 33, 45], Operations: ['90-45=45']
Exploring Operation: 45-30=15, Resulting Numbers: [33, 15]
Generated Node #0,0,0: 27:[33, 15] Operation: 45-30=15
Exploring Operation: 33-30=3, Resulting Numbers: [45, 3]
Generated Node #0,0,1: 27:[45, 3] Operation: 33-30=3
Exploring Operation: 45-33=12, Resulting Numbers: [30, 12]
Generated Node #0,0,2: 27:[30, 12] Operation: 45-33=12
Moving to Node #0,0,2
Current State: 27:[30, 12], Operations: ['90-45=45', '45-33=12']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,27 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[33, 15], Operations: ['90-45=45', '45-30=15']
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,27 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[45, 3], Operations: ['90-45=45', '33-30=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,27 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,27 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 |
[
91,
6,
3,
90
] | 19 | [
"91-90=1",
"6*3=18",
"1+18=19"
] | Current State: 19:[91, 6, 3, 90], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [6, 3, 1]
Generated Node #2: [6, 3, 1] from Operation: 91-90=1
Current State: 19:[6, 3, 1], Operations: ['91-90=1']
Exploring Operation: 6*3=18, Resulting Numbers: [1, 18]
Generated Node #3: [1, 18] from Operation: 6*3=18
Current State: 19:[1, 18], Operations: ['91-90=1', '6*3=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[91, 6, 3, 90], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [6, 3, 1]
Generated Node #0,0: 19:[6, 3, 1] Operation: 91-90=1
Exploring Operation: 90/6=15, Resulting Numbers: [91, 3, 15]
Generated Node #0,1: 19:[91, 3, 15] Operation: 90/6=15
Moving to Node #0,0
Current State: 19:[6, 3, 1], Operations: ['91-90=1']
Exploring Operation: 6+3=9, Resulting Numbers: [1, 9]
Generated Node #0,0,0: 19:[1, 9] Operation: 6+3=9
Exploring Operation: 6*3=18, Resulting Numbers: [1, 18]
Generated Node #0,0,1: 19:[1, 18] Operation: 6*3=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[1, 18], Operations: ['91-90=1', '6*3=18']
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[91, 6, 3, 90], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [6, 3, 1]
Generated Node #0,0: 19:[6, 3, 1] Operation: 91-90=1
Moving to Node #0,0
Current State: 19:[6, 3, 1], Operations: ['91-90=1']
Exploring Operation: 6*3=18, Resulting Numbers: [1, 18]
Generated Node #0,0,1: 19:[1, 18] Operation: 6*3=18
Moving to Node #0,0,1
Current State: 19:[1, 18], Operations: ['91-90=1', '6*3=18']
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
72,
38,
14,
48
] | 71 | [
"72*38=2736",
"2736/48=57",
"14+57=71"
] | Current State: 71:[72, 38, 14, 48], Operations: []
Exploring Operation: 72*38=2736, Resulting Numbers: [14, 48, 2736]
Generated Node #2: [14, 48, 2736] from Operation: 72*38=2736
Current State: 71:[14, 48, 2736], Operations: ['72*38=2736']
Exploring Operation: 2736/48=57, Resulting Numbers: [14, 57]
Generated Node #3: [14, 57] from Operation: 2736/48=57
Current State: 71:[14, 57], Operations: ['72*38=2736', '2736/48=57']
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[72, 38, 14, 48], Operations: []
Exploring Operation: 38+14=52, Resulting Numbers: [72, 48, 52]
Generated Node #0,0: 71:[72, 48, 52] Operation: 38+14=52
Exploring Operation: 72-14=58, Resulting Numbers: [38, 48, 58]
Generated Node #0,1: 71:[38, 48, 58] Operation: 72-14=58
Exploring Operation: 14+48=62, Resulting Numbers: [72, 38, 62]
Generated Node #0,2: 71:[72, 38, 62] Operation: 14+48=62
Moving to Node #0,0
Current State: 71:[72, 48, 52], Operations: ['38+14=52']
Exploring Operation: 72+48=120, Resulting Numbers: [52, 120]
Generated Node #0,0,0: 71:[52, 120] Operation: 72+48=120
Exploring Operation: 48+52=100, Resulting Numbers: [72, 100]
Generated Node #0,0,1: 71:[72, 100] Operation: 48+52=100
Exploring Operation: 72-48=24, Resulting Numbers: [52, 24]
Generated Node #0,0,2: 71:[52, 24] Operation: 72-48=24
Moving to Node #0,2
Current State: 71:[72, 38, 62], Operations: ['14+48=62']
Exploring Operation: 72+38=110, Resulting Numbers: [62, 110]
Generated Node #0,2,0: 71:[62, 110] Operation: 72+38=110
Exploring Operation: 72-38=34, Resulting Numbers: [62, 34]
Generated Node #0,2,1: 71:[62, 34] Operation: 72-38=34
Exploring Operation: 38+62=100, Resulting Numbers: [72, 100]
Generated Node #0,2,2: 71:[72, 100] Operation: 38+62=100
Moving to Node #0,1
Current State: 71:[38, 48, 58], Operations: ['72-14=58']
Exploring Operation: 48+58=106, Resulting Numbers: [38, 106]
Generated Node #0,1,0: 71:[38, 106] Operation: 48+58=106
Exploring Operation: 38+48=86, Resulting Numbers: [58, 86]
Generated Node #0,1,1: 71:[58, 86] Operation: 38+48=86
Exploring Operation: 38+58=96, Resulting Numbers: [48, 96]
Generated Node #0,1,2: 71:[48, 96] Operation: 38+58=96
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[58, 86], Operations: ['72-14=58', '38+48=86']
Exploring Operation: 58+86=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Exploring Operation: 58*86=4988, Resulting Numbers: [4988]
4988,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[48, 96], Operations: ['72-14=58', '38+58=96']
Exploring Operation: 48+96=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[38, 106], Operations: ['72-14=58', '48+58=106']
Exploring Operation: 38+106=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 38*106=4028, Resulting Numbers: [4028]
4028,71 unequal: No Solution
Exploring Operation: 106-38=68, Resulting Numbers: [68]
68,71 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: 71:[72, 100], Operations: ['38+14=52', '48+52=100']
Exploring Operation: 72+100=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 100-72=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Exploring Operation: 72*100=7200, Resulting Numbers: [7200]
7200,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[72, 100], Operations: ['14+48=62', '38+62=100']
Exploring Operation: 72+100=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 100-72=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Exploring Operation: 72*100=7200, Resulting Numbers: [7200]
7200,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[62, 34], Operations: ['14+48=62', '72-38=34']
Exploring Operation: 62*34=2108, Resulting Numbers: [2108]
2108,71 unequal: No Solution
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Exploring Operation: 62+34=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[62, 110], Operations: ['14+48=62', '72+38=110']
Exploring Operation: 62+110=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 62*110=6820, Resulting Numbers: [6820]
6820,71 unequal: No Solution
Exploring Operation: 110-62=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[52, 24], Operations: ['38+14=52', '72-48=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,71 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,71 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[52, 120], Operations: ['38+14=52', '72+48=120']
Exploring Operation: 120-52=68, Resulting Numbers: [68]
68,71 unequal: No Solution
Exploring Operation: 52+120=172, Resulting Numbers: [172]
172,71 unequal: No Solution
Exploring Operation: 52*120=6240, Resulting Numbers: [6240]
6240,71 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
9,
99,
82,
57
] | 14 | [
"99/9=11",
"82-57=25",
"25-11=14"
] | Current State: 14:[9, 99, 82, 57], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [82, 57, 11]
Generated Node #2: [82, 57, 11] from Operation: 99/9=11
Current State: 14:[82, 57, 11], Operations: ['99/9=11']
Exploring Operation: 82-57=25, Resulting Numbers: [11, 25]
Generated Node #3: [11, 25] from Operation: 82-57=25
Current State: 14:[11, 25], Operations: ['99/9=11', '82-57=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[9, 99, 82, 57], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [9, 57, 17]
Generated Node #0,0: 14:[9, 57, 17] Operation: 99-82=17
Exploring Operation: 99-57=42, Resulting Numbers: [9, 82, 42]
Generated Node #0,1: 14:[9, 82, 42] Operation: 99-57=42
Exploring Operation: 82-57=25, Resulting Numbers: [9, 99, 25]
Generated Node #0,2: 14:[9, 99, 25] Operation: 82-57=25
Moving to Node #0,0
Current State: 14:[9, 57, 17], Operations: ['99-82=17']
Exploring Operation: 17-9=8, Resulting Numbers: [57, 8]
Generated Node #0,0,0: 14:[57, 8] Operation: 17-9=8
Exploring Operation: 57-17=40, Resulting Numbers: [9, 40]
Generated Node #0,0,1: 14:[9, 40] Operation: 57-17=40
Exploring Operation: 57-9=48, Resulting Numbers: [17, 48]
Generated Node #0,0,2: 14:[17, 48] Operation: 57-9=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[9, 40], Operations: ['99-82=17', '57-17=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,14 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[17, 48], Operations: ['99-82=17', '57-9=48']
Exploring Operation: 17*48=816, Resulting Numbers: [816]
816,14 unequal: No Solution
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[57, 8], Operations: ['99-82=17', '17-9=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,14 unequal: No Solution
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,14 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: 14:[9, 82, 42], Operations: ['99-57=42']
Exploring Operation: 82-9=73, Resulting Numbers: [42, 73]
Generated Node #0,1,0: 14:[42, 73] Operation: 82-9=73
Exploring Operation: 42-9=33, Resulting Numbers: [82, 33]
Generated Node #0,1,1: 14:[82, 33] Operation: 42-9=33
Exploring Operation: 82-42=40, Resulting Numbers: [9, 40]
Generated Node #0,1,2: 14:[9, 40] Operation: 82-42=40
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[9, 40], Operations: ['99-57=42', '82-42=40']
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,14 unequal: No Solution
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,14 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 #0,1,0
Current State: 14:[42, 73], Operations: ['99-57=42', '82-9=73']
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 42+73=115, Resulting Numbers: [115]
115,14 unequal: No Solution
Exploring Operation: 42*73=3066, Resulting Numbers: [3066]
3066,14 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 #0,1,1
Current State: 14:[82, 33], Operations: ['99-57=42', '42-9=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 82+33=115, Resulting Numbers: [115]
115,14 unequal: No Solution
Exploring Operation: 82*33=2706, Resulting Numbers: [2706]
2706,14 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: 14:[9, 99, 25], Operations: ['82-57=25']
Exploring Operation: 99-25=74, Resulting Numbers: [9, 74]
Generated Node #0,2,0: 14:[9, 74] Operation: 99-25=74
Exploring Operation: 99/9=11, Resulting Numbers: [25, 11]
Generated Node #0,2,1: 14:[25, 11] Operation: 99/9=11
Exploring Operation: 99-9=90, Resulting Numbers: [25, 90]
Generated Node #0,2,2: 14:[25, 90] Operation: 99-9=90
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[25, 11], Operations: ['82-57=25', '99/9=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[9, 99, 82, 57], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [9, 99, 25]
Generated Node #0,2: 14:[9, 99, 25] Operation: 82-57=25
Moving to Node #0,2
Current State: 14:[9, 99, 25], Operations: ['82-57=25']
Exploring Operation: 99/9=11, Resulting Numbers: [25, 11]
Generated Node #0,2,1: 14:[25, 11] Operation: 99/9=11
Moving to Node #0,2,1
Current State: 14:[25, 11], Operations: ['82-57=25', '99/9=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
55,
43,
72,
16
] | 56 | [
"43*72=3096",
"3096-16=3080",
"3080/55=56"
] | Current State: 56:[55, 43, 72, 16], Operations: []
Exploring Operation: 43*72=3096, Resulting Numbers: [55, 16, 3096]
Generated Node #2: [55, 16, 3096] from Operation: 43*72=3096
Current State: 56:[55, 16, 3096], Operations: ['43*72=3096']
Exploring Operation: 3096-16=3080, Resulting Numbers: [55, 3080]
Generated Node #3: [55, 3080] from Operation: 3096-16=3080
Current State: 56:[55, 3080], Operations: ['43*72=3096', '3096-16=3080']
Exploring Operation: 3080/55=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[55, 43, 72, 16], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [55, 72, 27]
Generated Node #0,0: 56:[55, 72, 27] Operation: 43-16=27
Exploring Operation: 72-43=29, Resulting Numbers: [55, 16, 29]
Generated Node #0,1: 56:[55, 16, 29] Operation: 72-43=29
Exploring Operation: 72-55=17, Resulting Numbers: [43, 16, 17]
Generated Node #0,2: 56:[43, 16, 17] Operation: 72-55=17
Exploring Operation: 72-16=56, Resulting Numbers: [55, 43, 56]
Generated Node #0,3: 56:[55, 43, 56] Operation: 72-16=56
Moving to Node #0,1
Current State: 56:[55, 16, 29], Operations: ['72-43=29']
Exploring Operation: 29-16=13, Resulting Numbers: [55, 13]
Generated Node #0,1,0: 56:[55, 13] Operation: 29-16=13
Exploring Operation: 55-29=26, Resulting Numbers: [16, 26]
Generated Node #0,1,1: 56:[16, 26] Operation: 55-29=26
Exploring Operation: 16+29=45, Resulting Numbers: [55, 45]
Generated Node #0,1,2: 56:[55, 45] Operation: 16+29=45
Exploring Operation: 55-16=39, Resulting Numbers: [29, 39]
Generated Node #0,1,3: 56:[29, 39] Operation: 55-16=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[55, 13], Operations: ['72-43=29', '29-16=13']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,56 unequal: No Solution
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,56 unequal: No Solution
Exploring Operation: 55*13=715, Resulting Numbers: [715]
715,56 unequal: No Solution
No 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: 56:[16, 26], Operations: ['72-43=29', '55-29=26']
Exploring Operation: 16*26=416, Resulting Numbers: [416]
416,56 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,56 unequal: No Solution
No 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: 56:[55, 45], Operations: ['72-43=29', '16+29=45']
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 55*45=2475, Resulting Numbers: [2475]
2475,56 unequal: No Solution
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,56 unequal: No Solution
No 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: 56:[29, 39], Operations: ['72-43=29', '55-16=39']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 29*39=1131, Resulting Numbers: [1131]
1131,56 unequal: No Solution
Exploring Operation: 29+39=68, Resulting Numbers: [68]
68,56 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: 56:[55, 43, 56], Operations: ['72-16=56']
Exploring Operation: 56-43=13, Resulting Numbers: [55, 13]
Generated Node #0,3,0: 56:[55, 13] Operation: 56-43=13
Exploring Operation: 55-43=12, Resulting Numbers: [56, 12]
Generated Node #0,3,1: 56:[56, 12] Operation: 55-43=12
Exploring Operation: 55+43=98, Resulting Numbers: [56, 98]
Generated Node #0,3,2: 56:[56, 98] Operation: 55+43=98
Exploring Operation: 56-55=1, Resulting Numbers: [43, 1]
Generated Node #0,3,3: 56:[43, 1] Operation: 56-55=1
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 56:[55, 13], Operations: ['72-16=56', '56-43=13']
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,56 unequal: No Solution
Exploring Operation: 55*13=715, Resulting Numbers: [715]
715,56 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,56 unequal: No Solution
No 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: 56:[56, 12], Operations: ['72-16=56', '55-43=12']
Exploring Operation: 56*12=672, Resulting Numbers: [672]
672,56 unequal: No Solution
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,56 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,56 unequal: No Solution
No 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: 56:[43, 1], Operations: ['72-16=56', '56-55=1']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,56 unequal: No Solution
No 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: 56:[56, 98], Operations: ['72-16=56', '55+43=98']
Exploring Operation: 56*98=5488, Resulting Numbers: [5488]
5488,56 unequal: No Solution
Exploring Operation: 56+98=154, Resulting Numbers: [154]
154,56 unequal: No Solution
Exploring Operation: 98-56=42, Resulting Numbers: [42]
42,56 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: 56:[43, 16, 17], Operations: ['72-55=17']
Exploring Operation: 43-16=27, Resulting Numbers: [17, 27]
Generated Node #0,2,0: 56:[17, 27] Operation: 43-16=27
Exploring Operation: 43+17=60, Resulting Numbers: [16, 60]
Generated Node #0,2,1: 56:[16, 60] Operation: 43+17=60
Exploring Operation: 43+16=59, Resulting Numbers: [17, 59]
Generated Node #0,2,2: 56:[17, 59] Operation: 43+16=59
Exploring Operation: 43-17=26, Resulting Numbers: [16, 26]
Generated Node #0,2,3: 56:[16, 26] Operation: 43-17=26
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[17, 27], Operations: ['72-55=17', '43-16=27']
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,56 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,56 unequal: No Solution
No 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: 56:[16, 26], Operations: ['72-55=17', '43-17=26']
Exploring Operation: 16*26=416, Resulting Numbers: [416]
416,56 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,56 unequal: No Solution
No 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: 56:[16, 60], Operations: ['72-55=17', '43+17=60']
Exploring Operation: 16+60=76, Resulting Numbers: [76]
76,56 unequal: No Solution
Exploring Operation: 16*60=960, Resulting Numbers: [960]
960,56 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,56 unequal: No Solution
No 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: 56:[17, 59], Operations: ['72-55=17', '43+16=59']
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,56 unequal: No Solution
Exploring Operation: 17*59=1003, Resulting Numbers: [1003]
1003,56 unequal: No Solution
Exploring Operation: 17+59=76, Resulting Numbers: [76]
76,56 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: 56:[55, 72, 27], Operations: ['43-16=27']
Exploring Operation: 72-55=17, Resulting Numbers: [27, 17]
Generated Node #0,0,0: 56:[27, 17] Operation: 72-55=17
Exploring Operation: 55-27=28, Resulting Numbers: [72, 28]
Generated Node #0,0,1: 56:[72, 28] Operation: 55-27=28
Exploring Operation: 72-27=45, Resulting Numbers: [55, 45]
Generated Node #0,0,2: 56:[55, 45] Operation: 72-27=45
Exploring Operation: 55+27=82, Resulting Numbers: [72, 82]
Generated Node #0,0,3: 56:[72, 82] Operation: 55+27=82
Moving to Node #0,0,0
Current State: 56:[27, 17], Operations: ['43-16=27', '72-55=17']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,56 unequal: No Solution
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[55, 45], Operations: ['43-16=27', '72-27=45']
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,56 unequal: No Solution
Exploring Operation: 55*45=2475, Resulting Numbers: [2475]
2475,56 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[72, 28], Operations: ['43-16=27', '55-27=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,56 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,56 unequal: No Solution
Exploring Operation: 72*28=2016, Resulting Numbers: [2016]
2016,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[72, 82], Operations: ['43-16=27', '55+27=82']
Exploring Operation: 72+82=154, Resulting Numbers: [154]
154,56 unequal: No Solution
Exploring Operation: 72*82=5904, Resulting Numbers: [5904]
5904,56 unequal: No Solution
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,56 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
7,
10,
61,
89
] | 84 | [
"10-7=3",
"89-61=28",
"3*28=84"
] | Current State: 84:[7, 10, 61, 89], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [61, 89, 3]
Generated Node #2: [61, 89, 3] from Operation: 10-7=3
Current State: 84:[61, 89, 3], Operations: ['10-7=3']
Exploring Operation: 89-61=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 89-61=28
Current State: 84:[3, 28], Operations: ['10-7=3', '89-61=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[7, 10, 61, 89], Operations: []
Exploring Operation: 61-10=51, Resulting Numbers: [7, 89, 51]
Generated Node #0,0: 84:[7, 89, 51] Operation: 61-10=51
Exploring Operation: 10+61=71, Resulting Numbers: [7, 89, 71]
Generated Node #0,1: 84:[7, 89, 71] Operation: 10+61=71
Exploring Operation: 89-61=28, Resulting Numbers: [7, 10, 28]
Generated Node #0,2: 84:[7, 10, 28] Operation: 89-61=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[7, 10, 28], Operations: ['89-61=28']
Exploring Operation: 28/7=4, Resulting Numbers: [10, 4]
Generated Node #0,2,0: 84:[10, 4] Operation: 28/7=4
Exploring Operation: 10-7=3, Resulting Numbers: [28, 3]
Generated Node #0,2,1: 84:[28, 3] Operation: 10-7=3
Exploring Operation: 28-7=21, Resulting Numbers: [10, 21]
Generated Node #0,2,2: 84:[10, 21] Operation: 28-7=21
Moving to Node #0,2,1
Current State: 84:[28, 3], Operations: ['89-61=28', '10-7=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[7, 10, 61, 89], Operations: []
Exploring Operation: 89-61=28, Resulting Numbers: [7, 10, 28]
Generated Node #0,2: 84:[7, 10, 28] Operation: 89-61=28
Moving to Node #0,2
Current State: 84:[7, 10, 28], Operations: ['89-61=28']
Exploring Operation: 10-7=3, Resulting Numbers: [28, 3]
Generated Node #0,2,1: 84:[28, 3] Operation: 10-7=3
Moving to Node #0,2,1
Current State: 84:[28, 3], Operations: ['89-61=28', '10-7=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
52,
23,
99,
72
] | 56 | [
"52-23=29",
"99-72=27",
"29+27=56"
] | Current State: 56:[52, 23, 99, 72], Operations: []
Exploring Operation: 52-23=29, Resulting Numbers: [99, 72, 29]
Generated Node #2: [99, 72, 29] from Operation: 52-23=29
Current State: 56:[99, 72, 29], Operations: ['52-23=29']
Exploring Operation: 99-72=27, Resulting Numbers: [29, 27]
Generated Node #3: [29, 27] from Operation: 99-72=27
Current State: 56:[29, 27], Operations: ['52-23=29', '99-72=27']
Exploring Operation: 29+27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[52, 23, 99, 72], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [52, 23, 27]
Generated Node #0,0: 56:[52, 23, 27] Operation: 99-72=27
Exploring Operation: 99-52=47, Resulting Numbers: [23, 72, 47]
Generated Node #0,1: 56:[23, 72, 47] Operation: 99-52=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[52, 23, 27], Operations: ['99-72=27']
Exploring Operation: 52-23=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 56:[27, 29] Operation: 52-23=29
Exploring Operation: 27-23=4, Resulting Numbers: [52, 4]
Generated Node #0,0,1: 56:[52, 4] Operation: 27-23=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[27, 29], Operations: ['99-72=27', '52-23=29']
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[52, 23, 99, 72], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [52, 23, 27]
Generated Node #0,0: 56:[52, 23, 27] Operation: 99-72=27
Moving to Node #0,0
Current State: 56:[52, 23, 27], Operations: ['99-72=27']
Exploring Operation: 52-23=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 56:[27, 29] Operation: 52-23=29
Moving to Node #0,0,0
Current State: 56:[27, 29], Operations: ['99-72=27', '52-23=29']
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
9,
8,
60,
55
] | 100 | [
"9*60=540",
"8*55=440",
"540-440=100"
] | Current State: 100:[9, 8, 60, 55], Operations: []
Exploring Operation: 9*60=540, Resulting Numbers: [8, 55, 540]
Generated Node #2: [8, 55, 540] from Operation: 9*60=540
Current State: 100:[8, 55, 540], Operations: ['9*60=540']
Exploring Operation: 8*55=440, Resulting Numbers: [540, 440]
Generated Node #3: [540, 440] from Operation: 8*55=440
Current State: 100:[540, 440], Operations: ['9*60=540', '8*55=440']
Exploring Operation: 540-440=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[9, 8, 60, 55], Operations: []
Exploring Operation: 60-9=51, Resulting Numbers: [8, 55, 51]
Generated Node #0,0: 100:[8, 55, 51] Operation: 60-9=51
Exploring Operation: 55-8=47, Resulting Numbers: [9, 60, 47]
Generated Node #0,1: 100:[9, 60, 47] Operation: 55-8=47
Exploring Operation: 9-8=1, Resulting Numbers: [60, 55, 1]
Generated Node #0,2: 100:[60, 55, 1] Operation: 9-8=1
Exploring Operation: 60-8=52, Resulting Numbers: [9, 55, 52]
Generated Node #0,3: 100:[9, 55, 52] Operation: 60-8=52
Exploring Operation: 60-55=5, Resulting Numbers: [9, 8, 5]
Generated Node #0,4: 100:[9, 8, 5] Operation: 60-55=5
Start Sub Search at level 1: Moving to Node #0,4
Current State: 100:[9, 8, 5], Operations: ['60-55=5']
Exploring Operation: 9-8=1, Resulting Numbers: [5, 1]
Generated Node #0,4,0: 100:[5, 1] Operation: 9-8=1
Exploring Operation: 9+8=17, Resulting Numbers: [5, 17]
Generated Node #0,4,1: 100:[5, 17] Operation: 9+8=17
Exploring Operation: 8-5=3, Resulting Numbers: [9, 3]
Generated Node #0,4,2: 100:[9, 3] Operation: 8-5=3
Exploring Operation: 9-5=4, Resulting Numbers: [8, 4]
Generated Node #0,4,3: 100:[8, 4] Operation: 9-5=4
Exploring Operation: 8+5=13, Resulting Numbers: [9, 13]
Generated Node #0,4,4: 100:[9, 13] Operation: 8+5=13
Moving to Node #0,4,0
Current State: 100:[5, 1], Operations: ['60-55=5', '9-8=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Moving to Node #0,4,3
Current State: 100:[8, 4], Operations: ['60-55=5', '9-5=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,4,2
Current State: 100:[9, 3], Operations: ['60-55=5', '8-5=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,100 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Moving to Node #0,4,1
Current State: 100:[5, 17], Operations: ['60-55=5', '9+8=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,100 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Moving to Node #0,4,4
Current State: 100:[9, 13], Operations: ['60-55=5', '8+5=13']
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,100 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:[8, 55, 51], Operations: ['60-9=51']
Exploring Operation: 55-8=47, Resulting Numbers: [51, 47]
Generated Node #0,0,0: 100:[51, 47] Operation: 55-8=47
Exploring Operation: 8+55=63, Resulting Numbers: [51, 63]
Generated Node #0,0,1: 100:[51, 63] Operation: 8+55=63
Exploring Operation: 55+51=106, Resulting Numbers: [8, 106]
Generated Node #0,0,2: 100:[8, 106] Operation: 55+51=106
Exploring Operation: 55-51=4, Resulting Numbers: [8, 4]
Generated Node #0,0,3: 100:[8, 4] Operation: 55-51=4
Exploring Operation: 51-8=43, Resulting Numbers: [55, 43]
Generated Node #0,0,4: 100:[55, 43] Operation: 51-8=43
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 100:[8, 4], Operations: ['60-9=51', '55-51=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
No 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:[51, 47], Operations: ['60-9=51', '55-8=47']
Exploring Operation: 51+47=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 51*47=2397, Resulting Numbers: [2397]
2397,100 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 100:[8, 106], Operations: ['60-9=51', '55+51=106']
Exploring Operation: 106-8=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 8+106=114, Resulting Numbers: [114]
114,100 unequal: No Solution
Exploring Operation: 8*106=848, Resulting Numbers: [848]
848,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 100:[55, 43], Operations: ['60-9=51', '51-8=43']
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 55+43=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 55*43=2365, Resulting Numbers: [2365]
2365,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[51, 63], Operations: ['60-9=51', '8+55=63']
Exploring Operation: 51*63=3213, Resulting Numbers: [3213]
3213,100 unequal: No Solution
Exploring Operation: 51+63=114, Resulting Numbers: [114]
114,100 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,100 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:[9, 55, 52], Operations: ['60-8=52']
Exploring Operation: 55+52=107, Resulting Numbers: [9, 107]
Generated Node #0,3,0: 100:[9, 107] Operation: 55+52=107
Exploring Operation: 55-52=3, Resulting Numbers: [9, 3]
Generated Node #0,3,1: 100:[9, 3] Operation: 55-52=3
Exploring Operation: 52-9=43, Resulting Numbers: [55, 43]
Generated Node #0,3,2: 100:[55, 43] Operation: 52-9=43
Exploring Operation: 55-9=46, Resulting Numbers: [52, 46]
Generated Node #0,3,3: 100:[52, 46] Operation: 55-9=46
Exploring Operation: 9+55=64, Resulting Numbers: [52, 64]
Generated Node #0,3,4: 100:[52, 64] Operation: 9+55=64
Moving to Node #0,3,1
Current State: 100:[9, 3], Operations: ['60-8=52', '55-52=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[52, 46], Operations: ['60-8=52', '55-9=46']
Exploring Operation: 52*46=2392, Resulting Numbers: [2392]
2392,100 unequal: No Solution
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[9, 107], Operations: ['60-8=52', '55+52=107']
Exploring Operation: 9*107=963, Resulting Numbers: [963]
963,100 unequal: No Solution
Exploring Operation: 107-9=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 9+107=116, Resulting Numbers: [116]
116,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[55, 43], Operations: ['60-8=52', '52-9=43']
Exploring Operation: 55*43=2365, Resulting Numbers: [2365]
2365,100 unequal: No Solution
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 55+43=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[52, 64], Operations: ['60-8=52', '9+55=64']
Exploring Operation: 52+64=116, Resulting Numbers: [116]
116,100 unequal: No Solution
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 52*64=3328, Resulting Numbers: [3328]
3328,100 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:[9, 60, 47], Operations: ['55-8=47']
Exploring Operation: 9+47=56, Resulting Numbers: [60, 56]
Generated Node #0,1,0: 100:[60, 56] Operation: 9+47=56
Exploring Operation: 60-47=13, Resulting Numbers: [9, 13]
Generated Node #0,1,1: 100:[9, 13] Operation: 60-47=13
Exploring Operation: 60-9=51, Resulting Numbers: [47, 51]
Generated Node #0,1,2: 100:[47, 51] Operation: 60-9=51
Exploring Operation: 60+47=107, Resulting Numbers: [9, 107]
Generated Node #0,1,3: 100:[9, 107] Operation: 60+47=107
Exploring Operation: 9+60=69, Resulting Numbers: [47, 69]
Generated Node #0,1,4: 100:[47, 69] Operation: 9+60=69
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[9, 13], Operations: ['55-8=47', '60-47=13']
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[47, 51], Operations: ['55-8=47', '60-9=51']
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 47*51=2397, Resulting Numbers: [2397]
2397,100 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 100:[9, 107], Operations: ['55-8=47', '60+47=107']
Exploring Operation: 9*107=963, Resulting Numbers: [963]
963,100 unequal: No Solution
Exploring Operation: 107-9=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 9+107=116, Resulting Numbers: [116]
116,100 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:[60, 56], Operations: ['55-8=47', '9+47=56']
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,100 unequal: No Solution
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,100 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 #0,1,4
Current State: 100:[47, 69], Operations: ['55-8=47', '9+60=69']
Exploring Operation: 47+69=116, Resulting Numbers: [116]
116,100 unequal: No Solution
Exploring Operation: 69-47=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 47*69=3243, Resulting Numbers: [3243]
3243,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[60, 55, 1], Operations: ['9-8=1']
Exploring Operation: 60/1=60, Resulting Numbers: [55, 60]
Generated Node #0,2,0: 100:[55, 60] Operation: 60/1=60
Exploring Operation: 60-55=5, Resulting Numbers: [1, 5]
Generated Node #0,2,1: 100:[1, 5] Operation: 60-55=5
Exploring Operation: 60-1=59, Resulting Numbers: [55, 59]
Generated Node #0,2,2: 100:[55, 59] Operation: 60-1=59
Exploring Operation: 55-1=54, Resulting Numbers: [60, 54]
Generated Node #0,2,3: 100:[60, 54] Operation: 55-1=54
Exploring Operation: 60*1=60, Resulting Numbers: [55, 60]
Generated Node #0,2,4: 100:[55, 60] Operation: 60*1=60
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[1, 5], Operations: ['9-8=1', '60-55=5']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,100 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 #0,2,2
Current State: 100:[55, 59], Operations: ['9-8=1', '60-1=59']
Exploring Operation: 55*59=3245, Resulting Numbers: [3245]
3245,100 unequal: No Solution
Exploring Operation: 55+59=114, Resulting Numbers: [114]
114,100 unequal: No Solution
Exploring Operation: 59-55=4, Resulting Numbers: [4]
4,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 100:[60, 54], Operations: ['9-8=1', '55-1=54']
Exploring Operation: 60-54=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 60*54=3240, Resulting Numbers: [3240]
3240,100 unequal: No Solution
Exploring Operation: 60+54=114, Resulting Numbers: [114]
114,100 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 #0,2,0
Current State: 100:[55, 60], Operations: ['9-8=1', '60/1=60']
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,100 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,100 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 #0,2,4
Current State: 100:[55, 60], Operations: ['9-8=1', '60*1=60']
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,100 unequal: No Solution
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,100 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,100 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 | mult_heuristic |
[
65,
4,
2,
54
] | 72 | [
"65*2=130",
"4+54=58",
"130-58=72"
] | Current State: 72:[65, 4, 2, 54], Operations: []
Exploring Operation: 65*2=130, Resulting Numbers: [4, 54, 130]
Generated Node #2: [4, 54, 130] from Operation: 65*2=130
Current State: 72:[4, 54, 130], Operations: ['65*2=130']
Exploring Operation: 4+54=58, Resulting Numbers: [130, 58]
Generated Node #3: [130, 58] from Operation: 4+54=58
Current State: 72:[130, 58], Operations: ['65*2=130', '4+54=58']
Exploring Operation: 130-58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[65, 4, 2, 54], Operations: []
Exploring Operation: 65+4=69, Resulting Numbers: [2, 54, 69]
Generated Node #0,0: 72:[2, 54, 69] Operation: 65+4=69
Exploring Operation: 65-54=11, Resulting Numbers: [4, 2, 11]
Generated Node #0,1: 72:[4, 2, 11] Operation: 65-54=11
Exploring Operation: 54/2=27, Resulting Numbers: [65, 4, 27]
Generated Node #0,2: 72:[65, 4, 27] Operation: 54/2=27
Moving to Node #0,1
Current State: 72:[4, 2, 11], Operations: ['65-54=11']
Exploring Operation: 4+2=6, Resulting Numbers: [11, 6]
Generated Node #0,1,0: 72:[11, 6] Operation: 4+2=6
Exploring Operation: 4*2=8, Resulting Numbers: [11, 8]
Generated Node #0,1,1: 72:[11, 8] Operation: 4*2=8
Exploring Operation: 11-2=9, Resulting Numbers: [4, 9]
Generated Node #0,1,2: 72:[4, 9] Operation: 11-2=9
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[4, 9], Operations: ['65-54=11', '11-2=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[11, 6], Operations: ['65-54=11', '4+2=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 11+6=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 #0,1,1
Current State: 72:[11, 8], Operations: ['65-54=11', '4*2=8']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 72:[65, 4, 27], Operations: ['54/2=27']
Exploring Operation: 65+4=69, Resulting Numbers: [27, 69]
Generated Node #0,2,0: 72:[27, 69] Operation: 65+4=69
Exploring Operation: 27-4=23, Resulting Numbers: [65, 23]
Generated Node #0,2,1: 72:[65, 23] Operation: 27-4=23
Exploring Operation: 65-27=38, Resulting Numbers: [4, 38]
Generated Node #0,2,2: 72:[4, 38] Operation: 65-27=38
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[4, 38], Operations: ['54/2=27', '65-27=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,72 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[27, 69], Operations: ['54/2=27', '65+4=69']
Exploring Operation: 27*69=1863, Resulting Numbers: [1863]
1863,72 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,72 unequal: No Solution
Exploring Operation: 27+69=96, Resulting Numbers: [96]
96,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[65, 23], Operations: ['54/2=27', '27-4=23']
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,72 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,72 unequal: No Solution
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,72 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: 72:[2, 54, 69], Operations: ['65+4=69']
Exploring Operation: 2+54=56, Resulting Numbers: [69, 56]
Generated Node #0,0,0: 72:[69, 56] Operation: 2+54=56
Exploring Operation: 69-54=15, Resulting Numbers: [2, 15]
Generated Node #0,0,1: 72:[2, 15] Operation: 69-54=15
Exploring Operation: 54/2=27, Resulting Numbers: [69, 27]
Generated Node #0,0,2: 72:[69, 27] Operation: 54/2=27
Moving to Node #0,0,1
Current State: 72:[2, 15], Operations: ['65+4=69', '69-54=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[69, 27], Operations: ['65+4=69', '54/2=27']
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,72 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,72 unequal: No Solution
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[69, 56], Operations: ['65+4=69', '2+54=56']
Exploring Operation: 69-56=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 69*56=3864, Resulting Numbers: [3864]
3864,72 unequal: No Solution
Exploring Operation: 69+56=125, Resulting Numbers: [125]
125,72 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
62,
54,
83,
70
] | 94 | [
"62*83=5146",
"5146-70=5076",
"5076/54=94"
] | Current State: 94:[62, 54, 83, 70], Operations: []
Exploring Operation: 62*83=5146, Resulting Numbers: [54, 70, 5146]
Generated Node #2: [54, 70, 5146] from Operation: 62*83=5146
Current State: 94:[54, 70, 5146], Operations: ['62*83=5146']
Exploring Operation: 5146-70=5076, Resulting Numbers: [54, 5076]
Generated Node #3: [54, 5076] from Operation: 5146-70=5076
Current State: 94:[54, 5076], Operations: ['62*83=5146', '5146-70=5076']
Exploring Operation: 5076/54=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[62, 54, 83, 70], Operations: []
Exploring Operation: 70-62=8, Resulting Numbers: [54, 83, 8]
Generated Node #0,0: 94:[54, 83, 8] Operation: 70-62=8
Exploring Operation: 83-70=13, Resulting Numbers: [62, 54, 13]
Generated Node #0,1: 94:[62, 54, 13] Operation: 83-70=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[54, 83, 8], Operations: ['70-62=8']
Exploring Operation: 54-8=46, Resulting Numbers: [83, 46]
Generated Node #0,0,0: 94:[83, 46] Operation: 54-8=46
Exploring Operation: 83+8=91, Resulting Numbers: [54, 91]
Generated Node #0,0,1: 94:[54, 91] Operation: 83+8=91
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[54, 91], Operations: ['70-62=8', '83+8=91']
Exploring Operation: 54+91=145, Resulting Numbers: [145]
145,94 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,94 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 #0,0,0
Current State: 94:[83, 46], Operations: ['70-62=8', '54-8=46']
Exploring Operation: 83+46=129, Resulting Numbers: [129]
129,94 unequal: No Solution
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,94 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:[62, 54, 13], Operations: ['83-70=13']
Exploring Operation: 62-54=8, Resulting Numbers: [13, 8]
Generated Node #0,1,0: 94:[13, 8] Operation: 62-54=8
Exploring Operation: 62-13=49, Resulting Numbers: [54, 49]
Generated Node #0,1,1: 94:[54, 49] Operation: 62-13=49
Moving to Node #0,1,1
Current State: 94:[54, 49], Operations: ['83-70=13', '62-13=49']
Exploring Operation: 54+49=103, Resulting Numbers: [103]
103,94 unequal: No Solution
Exploring Operation: 54-49=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[13, 8], Operations: ['83-70=13', '62-54=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,94 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 |
[
97,
15,
4,
14
] | 17 | [
"97-15=82",
"82-14=68",
"68/4=17"
] | Current State: 17:[97, 15, 4, 14], Operations: []
Exploring Operation: 97-15=82, Resulting Numbers: [4, 14, 82]
Generated Node #2: [4, 14, 82] from Operation: 97-15=82
Current State: 17:[4, 14, 82], Operations: ['97-15=82']
Exploring Operation: 82-14=68, Resulting Numbers: [4, 68]
Generated Node #3: [4, 68] from Operation: 82-14=68
Current State: 17:[4, 68], Operations: ['97-15=82', '82-14=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[97, 15, 4, 14], Operations: []
Exploring Operation: 4+14=18, Resulting Numbers: [97, 15, 18]
Generated Node #0,0: 17:[97, 15, 18] Operation: 4+14=18
Exploring Operation: 97-4=93, Resulting Numbers: [15, 14, 93]
Generated Node #0,1: 17:[15, 14, 93] Operation: 97-4=93
Exploring Operation: 97-15=82, Resulting Numbers: [4, 14, 82]
Generated Node #0,2: 17:[4, 14, 82] Operation: 97-15=82
Exploring Operation: 15+4=19, Resulting Numbers: [97, 14, 19]
Generated Node #0,3: 17:[97, 14, 19] Operation: 15+4=19
Exploring Operation: 97-14=83, Resulting Numbers: [15, 4, 83]
Generated Node #0,4: 17:[15, 4, 83] Operation: 97-14=83
Moving to Node #0,1
Current State: 17:[15, 14, 93], Operations: ['97-4=93']
Exploring Operation: 93-15=78, Resulting Numbers: [14, 78]
Generated Node #0,1,0: 17:[14, 78] Operation: 93-15=78
Exploring Operation: 93-14=79, Resulting Numbers: [15, 79]
Generated Node #0,1,1: 17:[15, 79] Operation: 93-14=79
Exploring Operation: 15-14=1, Resulting Numbers: [93, 1]
Generated Node #0,1,2: 17:[93, 1] Operation: 15-14=1
Exploring Operation: 14+93=107, Resulting Numbers: [15, 107]
Generated Node #0,1,3: 17:[15, 107] Operation: 14+93=107
Exploring Operation: 15+14=29, Resulting Numbers: [93, 29]
Generated Node #0,1,4: 17:[93, 29] Operation: 15+14=29
Moving to Node #0,4
Current State: 17:[15, 4, 83], Operations: ['97-14=83']
Exploring Operation: 83-15=68, Resulting Numbers: [4, 68]
Generated Node #0,4,0: 17:[4, 68] Operation: 83-15=68
Exploring Operation: 15+4=19, Resulting Numbers: [83, 19]
Generated Node #0,4,1: 17:[83, 19] Operation: 15+4=19
Exploring Operation: 4+83=87, Resulting Numbers: [15, 87]
Generated Node #0,4,2: 17:[15, 87] Operation: 4+83=87
Exploring Operation: 15-4=11, Resulting Numbers: [83, 11]
Generated Node #0,4,3: 17:[83, 11] Operation: 15-4=11
Exploring Operation: 83-4=79, Resulting Numbers: [15, 79]
Generated Node #0,4,4: 17:[15, 79] Operation: 83-4=79
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 17:[4, 68], Operations: ['97-14=83', '83-15=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[97, 15, 4, 14], Operations: []
Exploring Operation: 97-14=83, Resulting Numbers: [15, 4, 83]
Generated Node #0,4: 17:[15, 4, 83] Operation: 97-14=83
Moving to Node #0,4
Current State: 17:[15, 4, 83], Operations: ['97-14=83']
Exploring Operation: 83-15=68, Resulting Numbers: [4, 68]
Generated Node #0,4,0: 17:[4, 68] Operation: 83-15=68
Moving to Node #0,4,0
Current State: 17:[4, 68], Operations: ['97-14=83', '83-15=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
48,
18,
24,
87
] | 78 | [
"48/24=2",
"18/2=9",
"87-9=78"
] | Current State: 78:[48, 18, 24, 87], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [18, 87, 2]
Generated Node #2: [18, 87, 2] from Operation: 48/24=2
Current State: 78:[18, 87, 2], Operations: ['48/24=2']
Exploring Operation: 18/2=9, Resulting Numbers: [87, 9]
Generated Node #3: [87, 9] from Operation: 18/2=9
Current State: 78:[87, 9], Operations: ['48/24=2', '18/2=9']
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[48, 18, 24, 87], Operations: []
Exploring Operation: 48-18=30, Resulting Numbers: [24, 87, 30]
Generated Node #0,0: 78:[24, 87, 30] Operation: 48-18=30
Exploring Operation: 48-24=24, Resulting Numbers: [18, 87, 24]
Generated Node #0,1: 78:[18, 87, 24] Operation: 48-24=24
Exploring Operation: 87-48=39, Resulting Numbers: [18, 24, 39]
Generated Node #0,2: 78:[18, 24, 39] Operation: 87-48=39
Exploring Operation: 48/24=2, Resulting Numbers: [18, 87, 2]
Generated Node #0,3: 78:[18, 87, 2] Operation: 48/24=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[18, 24, 39], Operations: ['87-48=39']
Exploring Operation: 39-24=15, Resulting Numbers: [18, 15]
Generated Node #0,2,0: 78:[18, 15] Operation: 39-24=15
Exploring Operation: 39-18=21, Resulting Numbers: [24, 21]
Generated Node #0,2,1: 78:[24, 21] Operation: 39-18=21
Exploring Operation: 24-18=6, Resulting Numbers: [39, 6]
Generated Node #0,2,2: 78:[39, 6] Operation: 24-18=6
Exploring Operation: 18+24=42, Resulting Numbers: [39, 42]
Generated Node #0,2,3: 78:[39, 42] Operation: 18+24=42
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[39, 6], Operations: ['87-48=39', '24-18=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,78 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 78:[39, 42], Operations: ['87-48=39', '18+24=42']
Exploring Operation: 39*42=1638, Resulting Numbers: [1638]
1638,78 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[18, 15], Operations: ['87-48=39', '39-24=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,78 unequal: No Solution
Exploring Operation: 18*15=270, Resulting Numbers: [270]
270,78 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[24, 21], Operations: ['87-48=39', '39-18=21']
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,78 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,78 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[18, 87, 2], Operations: ['48/24=2']
Exploring Operation: 18/2=9, Resulting Numbers: [87, 9]
Generated Node #0,3,0: 78:[87, 9] Operation: 18/2=9
Exploring Operation: 18*2=36, Resulting Numbers: [87, 36]
Generated Node #0,3,1: 78:[87, 36] Operation: 18*2=36
Exploring Operation: 87-18=69, Resulting Numbers: [2, 69]
Generated Node #0,3,2: 78:[2, 69] Operation: 87-18=69
Exploring Operation: 18-2=16, Resulting Numbers: [87, 16]
Generated Node #0,3,3: 78:[87, 16] Operation: 18-2=16
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 78:[2, 69], Operations: ['48/24=2', '87-18=69']
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,78 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 78:[87, 9], Operations: ['48/24=2', '18/2=9']
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[48, 18, 24, 87], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [18, 87, 2]
Generated Node #0,3: 78:[18, 87, 2] Operation: 48/24=2
Moving to Node #0,3
Current State: 78:[18, 87, 2], Operations: ['48/24=2']
Exploring Operation: 18/2=9, Resulting Numbers: [87, 9]
Generated Node #0,3,0: 78:[87, 9] Operation: 18/2=9
Moving to Node #0,3,0
Current State: 78:[87, 9], Operations: ['48/24=2', '18/2=9']
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
48,
76,
12,
92
] | 20 | [
"48+76=124",
"12+92=104",
"124-104=20"
] | Current State: 20:[48, 76, 12, 92], Operations: []
Exploring Operation: 48+76=124, Resulting Numbers: [12, 92, 124]
Generated Node #2: [12, 92, 124] from Operation: 48+76=124
Current State: 20:[12, 92, 124], Operations: ['48+76=124']
Exploring Operation: 12+92=104, Resulting Numbers: [124, 104]
Generated Node #3: [124, 104] from Operation: 12+92=104
Current State: 20:[124, 104], Operations: ['48+76=124', '12+92=104']
Exploring Operation: 124-104=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[48, 76, 12, 92], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [48, 12, 16]
Generated Node #0,0: 20:[48, 12, 16] Operation: 92-76=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[48, 12, 16], Operations: ['92-76=16']
Exploring Operation: 48/16=3, Resulting Numbers: [12, 3]
Generated Node #0,0,0: 20:[12, 3] Operation: 48/16=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[12, 3], Operations: ['92-76=16', '48/16=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,20 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
44,
59,
32,
7
] | 54 | [
"59-44=15",
"32+7=39",
"15+39=54"
] | Current State: 54:[44, 59, 32, 7], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [32, 7, 15]
Generated Node #2: [32, 7, 15] from Operation: 59-44=15
Current State: 54:[32, 7, 15], Operations: ['59-44=15']
Exploring Operation: 32+7=39, Resulting Numbers: [15, 39]
Generated Node #3: [15, 39] from Operation: 32+7=39
Current State: 54:[15, 39], Operations: ['59-44=15', '32+7=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[44, 59, 32, 7], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [32, 7, 15]
Generated Node #0,0: 54:[32, 7, 15] Operation: 59-44=15
Exploring Operation: 44-32=12, Resulting Numbers: [59, 7, 12]
Generated Node #0,1: 54:[59, 7, 12] Operation: 44-32=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[32, 7, 15], Operations: ['59-44=15']
Exploring Operation: 32-15=17, Resulting Numbers: [7, 17]
Generated Node #0,0,0: 54:[7, 17] Operation: 32-15=17
Exploring Operation: 32-7=25, Resulting Numbers: [15, 25]
Generated Node #0,0,1: 54:[15, 25] Operation: 32-7=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[7, 17], Operations: ['59-44=15', '32-15=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,54 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 #0,0,1
Current State: 54:[15, 25], Operations: ['59-44=15', '32-7=25']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,54 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:[59, 7, 12], Operations: ['44-32=12']
Exploring Operation: 59-7=52, Resulting Numbers: [12, 52]
Generated Node #0,1,0: 54:[12, 52] Operation: 59-7=52
Exploring Operation: 7+12=19, Resulting Numbers: [59, 19]
Generated Node #0,1,1: 54:[59, 19] Operation: 7+12=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[12, 52], Operations: ['44-32=12', '59-7=52']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,54 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 #0,1,1
Current State: 54:[59, 19], Operations: ['44-32=12', '7+12=19']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 59+19=78, Resulting Numbers: [78]
78,54 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
No solution found.
| 0 | hs_2 | mult_heuristic |
[
98,
82,
90,
30
] | 16 | [
"98+30=128",
"90-82=8",
"128/8=16"
] | Current State: 16:[98, 82, 90, 30], Operations: []
Exploring Operation: 98+30=128, Resulting Numbers: [82, 90, 128]
Generated Node #2: [82, 90, 128] from Operation: 98+30=128
Current State: 16:[82, 90, 128], Operations: ['98+30=128']
Exploring Operation: 90-82=8, Resulting Numbers: [128, 8]
Generated Node #3: [128, 8] from Operation: 90-82=8
Current State: 16:[128, 8], Operations: ['98+30=128', '90-82=8']
Exploring Operation: 128/8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[98, 82, 90, 30], Operations: []
Exploring Operation: 98-90=8, Resulting Numbers: [82, 30, 8]
Generated Node #0,0: 16:[82, 30, 8] Operation: 98-90=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[82, 30, 8], Operations: ['98-90=8']
Exploring Operation: 82-30=52, Resulting Numbers: [8, 52]
Generated Node #0,0,0: 16:[8, 52] Operation: 82-30=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[8, 52], Operations: ['98-90=8', '82-30=52']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,16 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 |
[
49,
2,
67,
64
] | 48 | [
"49+2=51",
"67-64=3",
"51-3=48"
] | Current State: 48:[49, 2, 67, 64], Operations: []
Exploring Operation: 49+2=51, Resulting Numbers: [67, 64, 51]
Generated Node #2: [67, 64, 51] from Operation: 49+2=51
Current State: 48:[67, 64, 51], Operations: ['49+2=51']
Exploring Operation: 67-64=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 67-64=3
Current State: 48:[51, 3], Operations: ['49+2=51', '67-64=3']
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[49, 2, 67, 64], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [49, 2, 3]
Generated Node #0,0: 48:[49, 2, 3] Operation: 67-64=3
Exploring Operation: 67-49=18, Resulting Numbers: [2, 64, 18]
Generated Node #0,1: 48:[2, 64, 18] Operation: 67-49=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[49, 2, 3], Operations: ['67-64=3']
Exploring Operation: 49-2=47, Resulting Numbers: [3, 47]
Generated Node #0,0,0: 48:[3, 47] Operation: 49-2=47
Exploring Operation: 2*3=6, Resulting Numbers: [49, 6]
Generated Node #0,0,1: 48:[49, 6] Operation: 2*3=6
Moving to Node #0,0,0
Current State: 48:[3, 47], Operations: ['67-64=3', '49-2=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[49, 6], Operations: ['67-64=3', '2*3=6']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No 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: 48:[2, 64, 18], Operations: ['67-49=18']
Exploring Operation: 64-18=46, Resulting Numbers: [2, 46]
Generated Node #0,1,0: 48:[2, 46] Operation: 64-18=46
Exploring Operation: 64/2=32, Resulting Numbers: [18, 32]
Generated Node #0,1,1: 48:[18, 32] Operation: 64/2=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[2, 46], Operations: ['67-49=18', '64-18=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[49, 2, 67, 64], Operations: []
Exploring Operation: 67-49=18, Resulting Numbers: [2, 64, 18]
Generated Node #0,1: 48:[2, 64, 18] Operation: 67-49=18
Moving to Node #0,1
Current State: 48:[2, 64, 18], Operations: ['67-49=18']
Exploring Operation: 64-18=46, Resulting Numbers: [2, 46]
Generated Node #0,1,0: 48:[2, 46] Operation: 64-18=46
Moving to Node #0,1,0
Current State: 48:[2, 46], Operations: ['67-49=18', '64-18=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
92,
34,
68,
88
] | 68 | [
"92-88=4",
"34*4=136",
"136-68=68"
] | Current State: 68:[92, 34, 68, 88], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [34, 68, 4]
Generated Node #2: [34, 68, 4] from Operation: 92-88=4
Current State: 68:[34, 68, 4], Operations: ['92-88=4']
Exploring Operation: 34*4=136, Resulting Numbers: [68, 136]
Generated Node #3: [68, 136] from Operation: 34*4=136
Current State: 68:[68, 136], Operations: ['92-88=4', '34*4=136']
Exploring Operation: 136-68=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[92, 34, 68, 88], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [34, 68, 4]
Generated Node #0,0: 68:[34, 68, 4] Operation: 92-88=4
Exploring Operation: 88-68=20, Resulting Numbers: [92, 34, 20]
Generated Node #0,1: 68:[92, 34, 20] Operation: 88-68=20
Exploring Operation: 92-68=24, Resulting Numbers: [34, 88, 24]
Generated Node #0,2: 68:[34, 88, 24] Operation: 92-68=24
Moving to Node #0,0
Current State: 68:[34, 68, 4], Operations: ['92-88=4']
Exploring Operation: 68-34=34, Resulting Numbers: [4, 34]
Generated Node #0,0,0: 68:[4, 34] Operation: 68-34=34
Exploring Operation: 68/34=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 68:[4, 2] Operation: 68/34=2
Exploring Operation: 68/4=17, Resulting Numbers: [34, 17]
Generated Node #0,0,2: 68:[34, 17] Operation: 68/4=17
Moving to Node #0,1
Current State: 68:[92, 34, 20], Operations: ['88-68=20']
Exploring Operation: 92-34=58, Resulting Numbers: [20, 58]
Generated Node #0,1,0: 68:[20, 58] Operation: 92-34=58
Exploring Operation: 92-20=72, Resulting Numbers: [34, 72]
Generated Node #0,1,1: 68:[34, 72] Operation: 92-20=72
Exploring Operation: 34-20=14, Resulting Numbers: [92, 14]
Generated Node #0,1,2: 68:[92, 14] Operation: 34-20=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[34, 72], Operations: ['88-68=20', '92-20=72']
Exploring Operation: 34+72=106, Resulting Numbers: [106]
106,68 unequal: No Solution
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 34*72=2448, Resulting Numbers: [2448]
2448,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[20, 58], Operations: ['88-68=20', '92-34=58']
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 20*58=1160, Resulting Numbers: [1160]
1160,68 unequal: No Solution
Exploring Operation: 20+58=78, Resulting Numbers: [78]
78,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 68:[92, 14], Operations: ['88-68=20', '34-20=14']
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,68 unequal: No Solution
Exploring Operation: 92+14=106, Resulting Numbers: [106]
106,68 unequal: No Solution
Exploring Operation: 92*14=1288, Resulting Numbers: [1288]
1288,68 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: 68:[34, 88, 24], Operations: ['92-68=24']
Exploring Operation: 88-24=64, Resulting Numbers: [34, 64]
Generated Node #0,2,0: 68:[34, 64] Operation: 88-24=64
Exploring Operation: 88-34=54, Resulting Numbers: [24, 54]
Generated Node #0,2,1: 68:[24, 54] Operation: 88-34=54
Exploring Operation: 34-24=10, Resulting Numbers: [88, 10]
Generated Node #0,2,2: 68:[88, 10] Operation: 34-24=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 68:[34, 64], Operations: ['92-68=24', '88-24=64']
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,68 unequal: No Solution
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 68:[24, 54], Operations: ['92-68=24', '88-34=54']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,68 unequal: No Solution
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 68:[88, 10], Operations: ['92-68=24', '34-24=10']
Exploring Operation: 88*10=880, Resulting Numbers: [880]
880,68 unequal: No Solution
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,68 unequal: No Solution
Exploring Operation: 88+10=98, Resulting Numbers: [98]
98,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 68:[4, 34], Operations: ['92-88=4', '68-34=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,68 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[4, 2], Operations: ['92-88=4', '68/34=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[34, 17], Operations: ['92-88=4', '68/4=17']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,68 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
18,
61,
26,
99
] | 82 | [
"61-18=43",
"26+99=125",
"125-43=82"
] | Current State: 82:[18, 61, 26, 99], Operations: []
Exploring Operation: 61-18=43, Resulting Numbers: [26, 99, 43]
Generated Node #2: [26, 99, 43] from Operation: 61-18=43
Current State: 82:[26, 99, 43], Operations: ['61-18=43']
Exploring Operation: 26+99=125, Resulting Numbers: [43, 125]
Generated Node #3: [43, 125] from Operation: 26+99=125
Current State: 82:[43, 125], Operations: ['61-18=43', '26+99=125']
Exploring Operation: 125-43=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[18, 61, 26, 99], Operations: []
Exploring Operation: 99-18=81, Resulting Numbers: [61, 26, 81]
Generated Node #0,0: 82:[61, 26, 81] Operation: 99-18=81
Exploring Operation: 99-61=38, Resulting Numbers: [18, 26, 38]
Generated Node #0,1: 82:[18, 26, 38] Operation: 99-61=38
Exploring Operation: 61-18=43, Resulting Numbers: [26, 99, 43]
Generated Node #0,2: 82:[26, 99, 43] Operation: 61-18=43
Exploring Operation: 18+61=79, Resulting Numbers: [26, 99, 79]
Generated Node #0,3: 82:[26, 99, 79] Operation: 18+61=79
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[18, 26, 38], Operations: ['99-61=38']
Exploring Operation: 26-18=8, Resulting Numbers: [38, 8]
Generated Node #0,1,0: 82:[38, 8] Operation: 26-18=8
Exploring Operation: 18+38=56, Resulting Numbers: [26, 56]
Generated Node #0,1,1: 82:[26, 56] Operation: 18+38=56
Exploring Operation: 18+26=44, Resulting Numbers: [38, 44]
Generated Node #0,1,2: 82:[38, 44] Operation: 18+26=44
Exploring Operation: 38-26=12, Resulting Numbers: [18, 12]
Generated Node #0,1,3: 82:[18, 12] Operation: 38-26=12
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 82:[38, 44], Operations: ['99-61=38', '18+26=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[18, 61, 26, 99], Operations: []
Exploring Operation: 99-61=38, Resulting Numbers: [18, 26, 38]
Generated Node #0,1: 82:[18, 26, 38] Operation: 99-61=38
Moving to Node #0,1
Current State: 82:[18, 26, 38], Operations: ['99-61=38']
Exploring Operation: 18+26=44, Resulting Numbers: [38, 44]
Generated Node #0,1,2: 82:[38, 44] Operation: 18+26=44
Moving to Node #0,1,2
Current State: 82:[38, 44], Operations: ['99-61=38', '18+26=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
60,
34,
82,
4
] | 41 | [
"34-4=30",
"60/30=2",
"82/2=41"
] | Current State: 41:[60, 34, 82, 4], Operations: []
Exploring Operation: 34-4=30, Resulting Numbers: [60, 82, 30]
Generated Node #2: [60, 82, 30] from Operation: 34-4=30
Current State: 41:[60, 82, 30], Operations: ['34-4=30']
Exploring Operation: 60/30=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 60/30=2
Current State: 41:[82, 2], Operations: ['34-4=30', '60/30=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[60, 34, 82, 4], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [34, 4, 22]
Generated Node #0,0: 41:[34, 4, 22] Operation: 82-60=22
Exploring Operation: 60-4=56, Resulting Numbers: [34, 82, 56]
Generated Node #0,1: 41:[34, 82, 56] Operation: 60-4=56
Exploring Operation: 34+4=38, Resulting Numbers: [60, 82, 38]
Generated Node #0,2: 41:[60, 82, 38] Operation: 34+4=38
Exploring Operation: 82-34=48, Resulting Numbers: [60, 4, 48]
Generated Node #0,3: 41:[60, 4, 48] Operation: 82-34=48
Exploring Operation: 82-4=78, Resulting Numbers: [60, 34, 78]
Generated Node #0,4: 41:[60, 34, 78] Operation: 82-4=78
Moving to Node #0,0
Current State: 41:[34, 4, 22], Operations: ['82-60=22']
Exploring Operation: 22-4=18, Resulting Numbers: [34, 18]
Generated Node #0,0,0: 41:[34, 18] Operation: 22-4=18
Exploring Operation: 34+22=56, Resulting Numbers: [4, 56]
Generated Node #0,0,1: 41:[4, 56] Operation: 34+22=56
Exploring Operation: 4+22=26, Resulting Numbers: [34, 26]
Generated Node #0,0,2: 41:[34, 26] Operation: 4+22=26
Exploring Operation: 34+4=38, Resulting Numbers: [22, 38]
Generated Node #0,0,3: 41:[22, 38] Operation: 34+4=38
Exploring Operation: 34-4=30, Resulting Numbers: [22, 30]
Generated Node #0,0,4: 41:[22, 30] Operation: 34-4=30
Moving to Node #0,2
Current State: 41:[60, 82, 38], Operations: ['34+4=38']
Exploring Operation: 82-60=22, Resulting Numbers: [38, 22]
Generated Node #0,2,0: 41:[38, 22] Operation: 82-60=22
Exploring Operation: 82+38=120, Resulting Numbers: [60, 120]
Generated Node #0,2,1: 41:[60, 120] Operation: 82+38=120
Exploring Operation: 82-38=44, Resulting Numbers: [60, 44]
Generated Node #0,2,2: 41:[60, 44] Operation: 82-38=44
Exploring Operation: 60+38=98, Resulting Numbers: [82, 98]
Generated Node #0,2,3: 41:[82, 98] Operation: 60+38=98
Exploring Operation: 60-38=22, Resulting Numbers: [82, 22]
Generated Node #0,2,4: 41:[82, 22] Operation: 60-38=22
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[38, 22], Operations: ['34+4=38', '82-60=22']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 38*22=836, Resulting Numbers: [836]
836,41 unequal: No Solution
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[60, 44], Operations: ['34+4=38', '82-38=44']
Exploring Operation: 60*44=2640, Resulting Numbers: [2640]
2640,41 unequal: No Solution
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 60+44=104, Resulting Numbers: [104]
104,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 41:[82, 22], Operations: ['34+4=38', '60-38=22']
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,41 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[60, 120], Operations: ['34+4=38', '82+38=120']
Exploring Operation: 120/60=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 60+120=180, Resulting Numbers: [180]
180,41 unequal: No Solution
Exploring Operation: 120-60=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 60*120=7200, Resulting Numbers: [7200]
7200,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[82, 98], Operations: ['34+4=38', '60+38=98']
Exploring Operation: 82*98=8036, Resulting Numbers: [8036]
8036,41 unequal: No Solution
Exploring Operation: 82+98=180, Resulting Numbers: [180]
180,41 unequal: No Solution
Exploring Operation: 98-82=16, Resulting Numbers: [16]
16,41 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: 41:[60, 34, 78], Operations: ['82-4=78']
Exploring Operation: 34+78=112, Resulting Numbers: [60, 112]
Generated Node #0,4,0: 41:[60, 112] Operation: 34+78=112
Exploring Operation: 60-34=26, Resulting Numbers: [78, 26]
Generated Node #0,4,1: 41:[78, 26] Operation: 60-34=26
Exploring Operation: 78-60=18, Resulting Numbers: [34, 18]
Generated Node #0,4,2: 41:[34, 18] Operation: 78-60=18
Exploring Operation: 78-34=44, Resulting Numbers: [60, 44]
Generated Node #0,4,3: 41:[60, 44] Operation: 78-34=44
Exploring Operation: 60+34=94, Resulting Numbers: [78, 94]
Generated Node #0,4,4: 41:[78, 94] Operation: 60+34=94
Moving to Node #0,1
Current State: 41:[34, 82, 56], Operations: ['60-4=56']
Exploring Operation: 34+56=90, Resulting Numbers: [82, 90]
Generated Node #0,1,0: 41:[82, 90] Operation: 34+56=90
Exploring Operation: 56-34=22, Resulting Numbers: [82, 22]
Generated Node #0,1,1: 41:[82, 22] Operation: 56-34=22
Exploring Operation: 34+82=116, Resulting Numbers: [56, 116]
Generated Node #0,1,2: 41:[56, 116] Operation: 34+82=116
Exploring Operation: 82-56=26, Resulting Numbers: [34, 26]
Generated Node #0,1,3: 41:[34, 26] Operation: 82-56=26
Exploring Operation: 82-34=48, Resulting Numbers: [56, 48]
Generated Node #0,1,4: 41:[56, 48] Operation: 82-34=48
Moving to Node #0,3
Current State: 41:[60, 4, 48], Operations: ['82-34=48']
Exploring Operation: 60-4=56, Resulting Numbers: [48, 56]
Generated Node #0,3,0: 41:[48, 56] Operation: 60-4=56
Exploring Operation: 60/4=15, Resulting Numbers: [48, 15]
Generated Node #0,3,1: 41:[48, 15] Operation: 60/4=15
Exploring Operation: 4+48=52, Resulting Numbers: [60, 52]
Generated Node #0,3,2: 41:[60, 52] Operation: 4+48=52
Exploring Operation: 60+4=64, Resulting Numbers: [48, 64]
Generated Node #0,3,3: 41:[48, 64] Operation: 60+4=64
Exploring Operation: 48-4=44, Resulting Numbers: [60, 44]
Generated Node #0,3,4: 41:[60, 44] Operation: 48-4=44
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 41:[48, 56], Operations: ['82-34=48', '60-4=56']
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,41 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 41:[60, 44], Operations: ['82-34=48', '48-4=44']
Exploring Operation: 60+44=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 60*44=2640, Resulting Numbers: [2640]
2640,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[60, 52], Operations: ['82-34=48', '4+48=52']
Exploring Operation: 60+52=112, Resulting Numbers: [112]
112,41 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 60*52=3120, Resulting Numbers: [3120]
3120,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 41:[48, 64], Operations: ['82-34=48', '60+4=64']
Exploring Operation: 48*64=3072, Resulting Numbers: [3072]
3072,41 unequal: No Solution
Exploring Operation: 48+64=112, Resulting Numbers: [112]
112,41 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 41:[48, 15], Operations: ['82-34=48', '60/4=15']
Exploring Operation: 48+15=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 48*15=720, Resulting Numbers: [720]
720,41 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: 41:[34, 26], Operations: ['82-60=22', '4+22=26']
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,41 unequal: No Solution
Moving to Node #0,4,3
Current State: 41:[60, 44], Operations: ['82-4=78', '78-34=44']
Exploring Operation: 60*44=2640, Resulting Numbers: [2640]
2640,41 unequal: No Solution
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 60+44=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[56, 48], Operations: ['60-4=56', '82-34=48']
Exploring Operation: 56*48=2688, Resulting Numbers: [2688]
2688,41 unequal: No Solution
Exploring Operation: 56+48=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[22, 38], Operations: ['82-60=22', '34+4=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,41 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[34, 26], Operations: ['60-4=56', '82-56=26']
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,41 unequal: No Solution
Moving to Node #0,4,2
Current State: 41:[34, 18], Operations: ['82-4=78', '78-60=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[34, 18], Operations: ['82-60=22', '22-4=18']
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,41 unequal: No Solution
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Moving to Node #0,0,4
Current State: 41:[22, 30], Operations: ['82-60=22', '34-4=30']
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,41 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[4, 56], Operations: ['82-60=22', '34+22=56']
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 4*56=224, Resulting Numbers: [224]
224,41 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Moving to Node #0,4,1
Current State: 41:[78, 26], Operations: ['82-4=78', '60-34=26']
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,41 unequal: No Solution
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[82, 22], Operations: ['60-4=56', '56-34=22']
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,41 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Moving to Node #0,4,4
Current State: 41:[78, 94], Operations: ['82-4=78', '60+34=94']
Exploring Operation: 78*94=7332, Resulting Numbers: [7332]
7332,41 unequal: No Solution
Exploring Operation: 78+94=172, Resulting Numbers: [172]
172,41 unequal: No Solution
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[82, 90], Operations: ['60-4=56', '34+56=90']
Exploring Operation: 82*90=7380, Resulting Numbers: [7380]
7380,41 unequal: No Solution
Exploring Operation: 82+90=172, Resulting Numbers: [172]
172,41 unequal: No Solution
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Moving to Node #0,4,0
Current State: 41:[60, 112], Operations: ['82-4=78', '34+78=112']
Exploring Operation: 60+112=172, Resulting Numbers: [172]
172,41 unequal: No Solution
Exploring Operation: 112-60=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 60*112=6720, Resulting Numbers: [6720]
6720,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[56, 116], Operations: ['60-4=56', '34+82=116']
Exploring Operation: 116-56=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 56*116=6496, Resulting Numbers: [6496]
6496,41 unequal: No Solution
Exploring Operation: 56+116=172, Resulting Numbers: [172]
172,41 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
60,
98,
10,
28
] | 25 | [
"98*10=980",
"980/28=35",
"60-35=25"
] | Current State: 25:[60, 98, 10, 28], Operations: []
Exploring Operation: 98*10=980, Resulting Numbers: [60, 28, 980]
Generated Node #2: [60, 28, 980] from Operation: 98*10=980
Current State: 25:[60, 28, 980], Operations: ['98*10=980']
Exploring Operation: 980/28=35, Resulting Numbers: [60, 35]
Generated Node #3: [60, 35] from Operation: 980/28=35
Current State: 25:[60, 35], Operations: ['98*10=980', '980/28=35']
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[60, 98, 10, 28], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [10, 28, 38]
Generated Node #0,0: 25:[10, 28, 38] Operation: 98-60=38
Exploring Operation: 60/10=6, Resulting Numbers: [98, 28, 6]
Generated Node #0,1: 25:[98, 28, 6] Operation: 60/10=6
Exploring Operation: 60-28=32, Resulting Numbers: [98, 10, 32]
Generated Node #0,2: 25:[98, 10, 32] Operation: 60-28=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[10, 28, 38], Operations: ['98-60=38']
Exploring Operation: 38-10=28, Resulting Numbers: [28, 28]
Generated Node #0,0,0: 25:[28, 28] Operation: 38-10=28
Exploring Operation: 38-28=10, Resulting Numbers: [10, 10]
Generated Node #0,0,1: 25:[10, 10] Operation: 38-28=10
Exploring Operation: 28-10=18, Resulting Numbers: [38, 18]
Generated Node #0,0,2: 25:[38, 18] Operation: 28-10=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[28, 28], Operations: ['98-60=38', '38-10=28']
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,25 unequal: No Solution
No 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: 25:[10, 10], Operations: ['98-60=38', '38-28=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,25 unequal: No Solution
No 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: 25:[38, 18], Operations: ['98-60=38', '28-10=18']
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,25 unequal: No Solution
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,25 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: 25:[98, 28, 6], Operations: ['60/10=6']
Exploring Operation: 98-6=92, Resulting Numbers: [28, 92]
Generated Node #0,1,0: 25:[28, 92] Operation: 98-6=92
Exploring Operation: 28-6=22, Resulting Numbers: [98, 22]
Generated Node #0,1,1: 25:[98, 22] Operation: 28-6=22
Exploring Operation: 98-28=70, Resulting Numbers: [6, 70]
Generated Node #0,1,2: 25:[6, 70] Operation: 98-28=70
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[6, 70], Operations: ['60/10=6', '98-28=70']
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,25 unequal: No Solution
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No 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: 25:[28, 92], Operations: ['60/10=6', '98-6=92']
Exploring Operation: 28*92=2576, Resulting Numbers: [2576]
2576,25 unequal: No Solution
Exploring Operation: 28+92=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No 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: 25:[98, 22], Operations: ['60/10=6', '28-6=22']
Exploring Operation: 98-22=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 98+22=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Exploring Operation: 98*22=2156, Resulting Numbers: [2156]
2156,25 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: 25:[98, 10, 32], Operations: ['60-28=32']
Exploring Operation: 98-10=88, Resulting Numbers: [32, 88]
Generated Node #0,2,0: 25:[32, 88] Operation: 98-10=88
Exploring Operation: 98-32=66, Resulting Numbers: [10, 66]
Generated Node #0,2,1: 25:[10, 66] Operation: 98-32=66
Exploring Operation: 32-10=22, Resulting Numbers: [98, 22]
Generated Node #0,2,2: 25:[98, 22] Operation: 32-10=22
Moving to Node #0,2,1
Current State: 25:[10, 66], Operations: ['60-28=32', '98-32=66']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[32, 88], Operations: ['60-28=32', '98-10=88']
Exploring Operation: 32*88=2816, Resulting Numbers: [2816]
2816,25 unequal: No Solution
Exploring Operation: 32+88=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Exploring Operation: 88-32=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[98, 22], Operations: ['60-28=32', '32-10=22']
Exploring Operation: 98*22=2156, Resulting Numbers: [2156]
2156,25 unequal: No Solution
Exploring Operation: 98+22=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Exploring Operation: 98-22=76, Resulting Numbers: [76]
76,25 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 |
[
76,
74,
81,
17
] | 96 | [
"76-74=2",
"81+17=98",
"98-2=96"
] | Current State: 96:[76, 74, 81, 17], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [81, 17, 2]
Generated Node #2: [81, 17, 2] from Operation: 76-74=2
Current State: 96:[81, 17, 2], Operations: ['76-74=2']
Exploring Operation: 81+17=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 81+17=98
Current State: 96:[2, 98], Operations: ['76-74=2', '81+17=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[76, 74, 81, 17], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [81, 17, 2]
Generated Node #0,0: 96:[81, 17, 2] Operation: 76-74=2
Exploring Operation: 81-76=5, Resulting Numbers: [74, 17, 5]
Generated Node #0,1: 96:[74, 17, 5] Operation: 81-76=5
Exploring Operation: 81-74=7, Resulting Numbers: [76, 17, 7]
Generated Node #0,2: 96:[76, 17, 7] Operation: 81-74=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[81, 17, 2], Operations: ['76-74=2']
Exploring Operation: 81+2=83, Resulting Numbers: [17, 83]
Generated Node #0,0,0: 96:[17, 83] Operation: 81+2=83
Exploring Operation: 81+17=98, Resulting Numbers: [2, 98]
Generated Node #0,0,1: 96:[2, 98] Operation: 81+17=98
Exploring Operation: 81-17=64, Resulting Numbers: [2, 64]
Generated Node #0,0,2: 96:[2, 64] Operation: 81-17=64
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[2, 98], Operations: ['76-74=2', '81+17=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,96 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[76, 74, 81, 17], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [81, 17, 2]
Generated Node #0,0: 96:[81, 17, 2] Operation: 76-74=2
Moving to Node #0,0
Current State: 96:[81, 17, 2], Operations: ['76-74=2']
Exploring Operation: 81+17=98, Resulting Numbers: [2, 98]
Generated Node #0,0,1: 96:[2, 98] Operation: 81+17=98
Moving to Node #0,0,1
Current State: 96:[2, 98], Operations: ['76-74=2', '81+17=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
13,
75,
55,
46
] | 42 | [
"55-46=9",
"13*9=117",
"117-75=42"
] | Current State: 42:[13, 75, 55, 46], Operations: []
Exploring Operation: 55-46=9, Resulting Numbers: [13, 75, 9]
Generated Node #2: [13, 75, 9] from Operation: 55-46=9
Current State: 42:[13, 75, 9], Operations: ['55-46=9']
Exploring Operation: 13*9=117, Resulting Numbers: [75, 117]
Generated Node #3: [75, 117] from Operation: 13*9=117
Current State: 42:[75, 117], Operations: ['55-46=9', '13*9=117']
Exploring Operation: 117-75=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[13, 75, 55, 46], Operations: []
Exploring Operation: 75-55=20, Resulting Numbers: [13, 46, 20]
Generated Node #0,0: 42:[13, 46, 20] Operation: 75-55=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[13, 46, 20], Operations: ['75-55=20']
Exploring Operation: 20-13=7, Resulting Numbers: [46, 7]
Generated Node #0,0,0: 42:[46, 7] Operation: 20-13=7
Moving to Node #0,0,0
Current State: 42:[46, 7], Operations: ['75-55=20', '20-13=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
98,
58,
83
] | 65 | [
"2*58=116",
"98+83=181",
"181-116=65"
] | Current State: 65:[2, 98, 58, 83], Operations: []
Exploring Operation: 2*58=116, Resulting Numbers: [98, 83, 116]
Generated Node #2: [98, 83, 116] from Operation: 2*58=116
Current State: 65:[98, 83, 116], Operations: ['2*58=116']
Exploring Operation: 98+83=181, Resulting Numbers: [116, 181]
Generated Node #3: [116, 181] from Operation: 98+83=181
Current State: 65:[116, 181], Operations: ['2*58=116', '98+83=181']
Exploring Operation: 181-116=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[2, 98, 58, 83], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [2, 58, 15]
Generated Node #0,0: 65:[2, 58, 15] Operation: 98-83=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[2, 58, 15], Operations: ['98-83=15']
Exploring Operation: 2+58=60, Resulting Numbers: [15, 60]
Generated Node #0,0,0: 65:[15, 60] Operation: 2+58=60
Moving to Node #0,0,0
Current State: 65:[15, 60], Operations: ['98-83=15', '2+58=60']
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,65 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 |
[
67,
60,
90,
7
] | 41 | [
"67-60=7",
"7*7=49",
"90-49=41"
] | Current State: 41:[67, 60, 90, 7], Operations: []
Exploring Operation: 67-60=7, Resulting Numbers: [90, 7, 7]
Generated Node #2: [90, 7, 7] from Operation: 67-60=7
Current State: 41:[90, 7, 7], Operations: ['67-60=7']
Exploring Operation: 7*7=49, Resulting Numbers: [90, 49]
Generated Node #3: [90, 49] from Operation: 7*7=49
Current State: 41:[90, 49], Operations: ['67-60=7', '7*7=49']
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[67, 60, 90, 7], Operations: []
Exploring Operation: 67-7=60, Resulting Numbers: [60, 90, 60]
Generated Node #0,0: 41:[60, 90, 60] Operation: 67-7=60
Exploring Operation: 90-7=83, Resulting Numbers: [67, 60, 83]
Generated Node #0,1: 41:[67, 60, 83] Operation: 90-7=83
Exploring Operation: 90-60=30, Resulting Numbers: [67, 7, 30]
Generated Node #0,2: 41:[67, 7, 30] Operation: 90-60=30
Exploring Operation: 90-67=23, Resulting Numbers: [60, 7, 23]
Generated Node #0,3: 41:[60, 7, 23] Operation: 90-67=23
Exploring Operation: 60-7=53, Resulting Numbers: [67, 90, 53]
Generated Node #0,4: 41:[67, 90, 53] Operation: 60-7=53
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[67, 7, 30], Operations: ['90-60=30']
Exploring Operation: 67-7=60, Resulting Numbers: [30, 60]
Generated Node #0,2,0: 41:[30, 60] Operation: 67-7=60
Exploring Operation: 30-7=23, Resulting Numbers: [67, 23]
Generated Node #0,2,1: 41:[67, 23] Operation: 30-7=23
Exploring Operation: 7+30=37, Resulting Numbers: [67, 37]
Generated Node #0,2,2: 41:[67, 37] Operation: 7+30=37
Exploring Operation: 67-30=37, Resulting Numbers: [7, 37]
Generated Node #0,2,3: 41:[7, 37] Operation: 67-30=37
Exploring Operation: 67+7=74, Resulting Numbers: [30, 74]
Generated Node #0,2,4: 41:[30, 74] Operation: 67+7=74
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[30, 60], Operations: ['90-60=30', '67-7=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 30*60=1800, Resulting Numbers: [1800]
1800,41 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No 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: 41:[67, 37], Operations: ['90-60=30', '7+30=37']
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,41 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,41 unequal: No Solution
No 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: 41:[7, 37], Operations: ['90-60=30', '67-30=37']
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,41 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,41 unequal: No Solution
No 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: 41:[67, 23], Operations: ['90-60=30', '30-7=23']
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,41 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,41 unequal: No Solution
No 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: 41:[30, 74], Operations: ['90-60=30', '67+7=74']
Exploring Operation: 30+74=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 30*74=2220, Resulting Numbers: [2220]
2220,41 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: 41:[60, 7, 23], Operations: ['90-67=23']
Exploring Operation: 23-7=16, Resulting Numbers: [60, 16]
Generated Node #0,3,0: 41:[60, 16] Operation: 23-7=16
Exploring Operation: 60-23=37, Resulting Numbers: [7, 37]
Generated Node #0,3,1: 41:[7, 37] Operation: 60-23=37
Exploring Operation: 7+23=30, Resulting Numbers: [60, 30]
Generated Node #0,3,2: 41:[60, 30] Operation: 7+23=30
Exploring Operation: 60-7=53, Resulting Numbers: [23, 53]
Generated Node #0,3,3: 41:[23, 53] Operation: 60-7=53
Exploring Operation: 60+7=67, Resulting Numbers: [23, 67]
Generated Node #0,3,4: 41:[23, 67] Operation: 60+7=67
Moving to Node #0,3,2
Current State: 41:[60, 30], Operations: ['90-67=23', '7+23=30']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,41 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[23, 53], Operations: ['90-67=23', '60-7=53']
Exploring Operation: 23*53=1219, Resulting Numbers: [1219]
1219,41 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 23+53=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[7, 37], Operations: ['90-67=23', '60-23=37']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,41 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[60, 16], Operations: ['90-67=23', '23-7=16']
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,41 unequal: No Solution
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,3,4
Current State: 41:[23, 67], Operations: ['90-67=23', '60+7=67']
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 23+67=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 23*67=1541, Resulting Numbers: [1541]
1541,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[60, 90, 60], Operations: ['67-7=60']
Exploring Operation: 90-60=30, Resulting Numbers: [60, 30]
Generated Node #0,0,0: 41:[60, 30] Operation: 90-60=30
Exploring Operation: 60-60=0, Resulting Numbers: [90, 0]
Generated Node #0,0,1: 41:[90, 0] Operation: 60-60=0
Exploring Operation: 90-60=30, Resulting Numbers: [60, 30]
Generated Node #0,0,2: 41:[60, 30] Operation: 90-60=30
Exploring Operation: 60/60=1, Resulting Numbers: [90, 1]
Generated Node #0,0,3: 41:[90, 1] Operation: 60/60=1
Exploring Operation: 60+90=150, Resulting Numbers: [60, 150]
Generated Node #0,0,4: 41:[60, 150] Operation: 60+90=150
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[60, 30], Operations: ['67-7=60', '90-60=30']
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,41 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,41 unequal: No Solution
No 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: 41:[60, 30], Operations: ['67-7=60', '90-60=30']
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 60*30=1800, Resulting Numbers: [1800]
1800,41 unequal: No Solution
Exploring Operation: 60+30=90, Resulting Numbers: [90]
90,41 unequal: No Solution
No 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: 41:[90, 1], Operations: ['67-7=60', '60/60=1']
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,41 unequal: No Solution
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,41 unequal: No Solution
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,41 unequal: No Solution
No 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: 41:[90, 0], Operations: ['67-7=60', '60-60=0']
Exploring Operation: 90-0=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 90*0=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 90+0=90, Resulting Numbers: [90]
90,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 41:[60, 150], Operations: ['67-7=60', '60+90=150']
Exploring Operation: 150-60=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 60+150=210, Resulting Numbers: [210]
210,41 unequal: No Solution
Exploring Operation: 60*150=9000, Resulting Numbers: [9000]
9000,41 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: 41:[67, 60, 83], Operations: ['90-7=83']
Exploring Operation: 67+60=127, Resulting Numbers: [83, 127]
Generated Node #0,1,0: 41:[83, 127] Operation: 67+60=127
Exploring Operation: 83-67=16, Resulting Numbers: [60, 16]
Generated Node #0,1,1: 41:[60, 16] Operation: 83-67=16
Exploring Operation: 83-60=23, Resulting Numbers: [67, 23]
Generated Node #0,1,2: 41:[67, 23] Operation: 83-60=23
Exploring Operation: 67+83=150, Resulting Numbers: [60, 150]
Generated Node #0,1,3: 41:[60, 150] Operation: 67+83=150
Exploring Operation: 67-60=7, Resulting Numbers: [83, 7]
Generated Node #0,1,4: 41:[83, 7] Operation: 67-60=7
Moving to Node #0,1,1
Current State: 41:[60, 16], Operations: ['90-7=83', '83-67=16']
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,41 unequal: No Solution
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[67, 23], Operations: ['90-7=83', '83-60=23']
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,41 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[83, 7], Operations: ['90-7=83', '67-60=7']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,41 unequal: No Solution
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[83, 127], Operations: ['90-7=83', '67+60=127']
Exploring Operation: 83*127=10541, Resulting Numbers: [10541]
10541,41 unequal: No Solution
Exploring Operation: 127-83=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 83+127=210, Resulting Numbers: [210]
210,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[60, 150], Operations: ['90-7=83', '67+83=150']
Exploring Operation: 60*150=9000, Resulting Numbers: [9000]
9000,41 unequal: No Solution
Exploring Operation: 60+150=210, Resulting Numbers: [210]
210,41 unequal: No Solution
Exploring Operation: 150-60=90, Resulting Numbers: [90]
90,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 41:[67, 90, 53], Operations: ['60-7=53']
Exploring Operation: 67+53=120, Resulting Numbers: [90, 120]
Generated Node #0,4,0: 41:[90, 120] Operation: 67+53=120
Exploring Operation: 67-53=14, Resulting Numbers: [90, 14]
Generated Node #0,4,1: 41:[90, 14] Operation: 67-53=14
Exploring Operation: 90-67=23, Resulting Numbers: [53, 23]
Generated Node #0,4,2: 41:[53, 23] Operation: 90-67=23
Exploring Operation: 67+90=157, Resulting Numbers: [53, 157]
Generated Node #0,4,3: 41:[53, 157] Operation: 67+90=157
Exploring Operation: 90-53=37, Resulting Numbers: [67, 37]
Generated Node #0,4,4: 41:[67, 37] Operation: 90-53=37
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 41:[53, 23], Operations: ['60-7=53', '90-67=23']
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,41 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,41 unequal: No Solution
No 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: 41:[67, 37], Operations: ['60-7=53', '90-53=37']
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 67+37=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 67*37=2479, Resulting Numbers: [2479]
2479,41 unequal: No Solution
No 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: 41:[90, 14], Operations: ['60-7=53', '67-53=14']
Exploring Operation: 90+14=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 90*14=1260, Resulting Numbers: [1260]
1260,41 unequal: No Solution
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,41 unequal: No Solution
No 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: 41:[90, 120], Operations: ['60-7=53', '67+53=120']
Exploring Operation: 90*120=10800, Resulting Numbers: [10800]
10800,41 unequal: No Solution
Exploring Operation: 120-90=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 90+120=210, Resulting Numbers: [210]
210,41 unequal: No Solution
No 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: 41:[53, 157], Operations: ['60-7=53', '67+90=157']
Exploring Operation: 157-53=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 53*157=8321, Resulting Numbers: [8321]
8321,41 unequal: No Solution
Exploring Operation: 53+157=210, Resulting Numbers: [210]
210,41 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 |
[
32,
9,
96,
27
] | 61 | [
"96-32=64",
"27/9=3",
"64-3=61"
] | Current State: 61:[32, 9, 96, 27], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [9, 27, 64]
Generated Node #2: [9, 27, 64] from Operation: 96-32=64
Current State: 61:[9, 27, 64], Operations: ['96-32=64']
Exploring Operation: 27/9=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 27/9=3
Current State: 61:[64, 3], Operations: ['96-32=64', '27/9=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[32, 9, 96, 27], Operations: []
Exploring Operation: 32+27=59, Resulting Numbers: [9, 96, 59]
Generated Node #0,0: 61:[9, 96, 59] Operation: 32+27=59
Exploring Operation: 32+9=41, Resulting Numbers: [96, 27, 41]
Generated Node #0,1: 61:[96, 27, 41] Operation: 32+9=41
Exploring Operation: 96-32=64, Resulting Numbers: [9, 27, 64]
Generated Node #0,2: 61:[9, 27, 64] Operation: 96-32=64
Exploring Operation: 9+27=36, Resulting Numbers: [32, 96, 36]
Generated Node #0,3: 61:[32, 96, 36] Operation: 9+27=36
Exploring Operation: 96-9=87, Resulting Numbers: [32, 27, 87]
Generated Node #0,4: 61:[32, 27, 87] Operation: 96-9=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[9, 96, 59], Operations: ['32+27=59']
Exploring Operation: 9+96=105, Resulting Numbers: [59, 105]
Generated Node #0,0,0: 61:[59, 105] Operation: 9+96=105
Exploring Operation: 59-9=50, Resulting Numbers: [96, 50]
Generated Node #0,0,1: 61:[96, 50] Operation: 59-9=50
Exploring Operation: 9+59=68, Resulting Numbers: [96, 68]
Generated Node #0,0,2: 61:[96, 68] Operation: 9+59=68
Exploring Operation: 96-59=37, Resulting Numbers: [9, 37]
Generated Node #0,0,3: 61:[9, 37] Operation: 96-59=37
Exploring Operation: 96-9=87, Resulting Numbers: [59, 87]
Generated Node #0,0,4: 61:[59, 87] Operation: 96-9=87
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 61:[59, 87], Operations: ['32+27=59', '96-9=87']
Exploring Operation: 59+87=146, Resulting Numbers: [146]
146,61 unequal: No Solution
Exploring Operation: 87-59=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 59*87=5133, Resulting Numbers: [5133]
5133,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 61:[96, 68], Operations: ['32+27=59', '9+59=68']
Exploring Operation: 96*68=6528, Resulting Numbers: [6528]
6528,61 unequal: No Solution
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 96+68=164, Resulting Numbers: [164]
164,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[59, 105], Operations: ['32+27=59', '9+96=105']
Exploring Operation: 105-59=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 59*105=6195, Resulting Numbers: [6195]
6195,61 unequal: No Solution
Exploring Operation: 59+105=164, Resulting Numbers: [164]
164,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[96, 50], Operations: ['32+27=59', '59-9=50']
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 96+50=146, Resulting Numbers: [146]
146,61 unequal: No Solution
Exploring Operation: 96*50=4800, Resulting Numbers: [4800]
4800,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 61:[9, 37], Operations: ['32+27=59', '96-59=37']
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,61 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[96, 27, 41], Operations: ['32+9=41']
Exploring Operation: 96-27=69, Resulting Numbers: [41, 69]
Generated Node #0,1,0: 61:[41, 69] Operation: 96-27=69
Exploring Operation: 41-27=14, Resulting Numbers: [96, 14]
Generated Node #0,1,1: 61:[96, 14] Operation: 41-27=14
Exploring Operation: 96-41=55, Resulting Numbers: [27, 55]
Generated Node #0,1,2: 61:[27, 55] Operation: 96-41=55
Exploring Operation: 96+27=123, Resulting Numbers: [41, 123]
Generated Node #0,1,3: 61:[41, 123] Operation: 96+27=123
Exploring Operation: 27+41=68, Resulting Numbers: [96, 68]
Generated Node #0,1,4: 61:[96, 68] Operation: 27+41=68
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[41, 69], Operations: ['32+9=41', '96-27=69']
Exploring Operation: 41+69=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 41*69=2829, Resulting Numbers: [2829]
2829,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[27, 55], Operations: ['32+9=41', '96-41=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,61 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 61:[96, 68], Operations: ['32+9=41', '27+41=68']
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 96*68=6528, Resulting Numbers: [6528]
6528,61 unequal: No Solution
Exploring Operation: 96+68=164, Resulting Numbers: [164]
164,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[96, 14], Operations: ['32+9=41', '41-27=14']
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,61 unequal: No Solution
Exploring Operation: 96*14=1344, Resulting Numbers: [1344]
1344,61 unequal: No Solution
Exploring Operation: 96+14=110, Resulting Numbers: [110]
110,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 61:[41, 123], Operations: ['32+9=41', '96+27=123']
Exploring Operation: 41*123=5043, Resulting Numbers: [5043]
5043,61 unequal: No Solution
Exploring Operation: 41+123=164, Resulting Numbers: [164]
164,61 unequal: No Solution
Exploring Operation: 123/41=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 123-41=82, Resulting Numbers: [82]
82,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[9, 27, 64], Operations: ['96-32=64']
Exploring Operation: 64-9=55, Resulting Numbers: [27, 55]
Generated Node #0,2,0: 61:[27, 55] Operation: 64-9=55
Exploring Operation: 27/9=3, Resulting Numbers: [64, 3]
Generated Node #0,2,1: 61:[64, 3] Operation: 27/9=3
Exploring Operation: 9+64=73, Resulting Numbers: [27, 73]
Generated Node #0,2,2: 61:[27, 73] Operation: 9+64=73
Exploring Operation: 27-9=18, Resulting Numbers: [64, 18]
Generated Node #0,2,3: 61:[64, 18] Operation: 27-9=18
Exploring Operation: 9+27=36, Resulting Numbers: [64, 36]
Generated Node #0,2,4: 61:[64, 36] Operation: 9+27=36
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 61:[64, 36], Operations: ['96-32=64', '9+27=36']
Exploring Operation: 64*36=2304, Resulting Numbers: [2304]
2304,61 unequal: No Solution
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 61:[27, 55], Operations: ['96-32=64', '64-9=55']
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,61 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 61:[27, 73], Operations: ['96-32=64', '9+64=73']
Exploring Operation: 27*73=1971, Resulting Numbers: [1971]
1971,61 unequal: No Solution
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 61:[64, 18], Operations: ['96-32=64', '27-9=18']
Exploring Operation: 64*18=1152, Resulting Numbers: [1152]
1152,61 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,61 unequal: No Solution
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[64, 3], Operations: ['96-32=64', '27/9=3']
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,61 unequal: No Solution
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[32, 9, 96, 27], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [9, 27, 64]
Generated Node #0,2: 61:[9, 27, 64] Operation: 96-32=64
Moving to Node #0,2
Current State: 61:[9, 27, 64], Operations: ['96-32=64']
Exploring Operation: 27/9=3, Resulting Numbers: [64, 3]
Generated Node #0,2,1: 61:[64, 3] Operation: 27/9=3
Moving to Node #0,2,1
Current State: 61:[64, 3], Operations: ['96-32=64', '27/9=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.939236 | hs_5 | mult_heuristic |
[
21,
85,
34,
3
] | 27 | [
"85-21=64",
"34+3=37",
"64-37=27"
] | Current State: 27:[21, 85, 34, 3], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [34, 3, 64]
Generated Node #2: [34, 3, 64] from Operation: 85-21=64
Current State: 27:[34, 3, 64], Operations: ['85-21=64']
Exploring Operation: 34+3=37, Resulting Numbers: [64, 37]
Generated Node #3: [64, 37] from Operation: 34+3=37
Current State: 27:[64, 37], Operations: ['85-21=64', '34+3=37']
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[21, 85, 34, 3], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [34, 3, 64]
Generated Node #0,0: 27:[34, 3, 64] Operation: 85-21=64
Exploring Operation: 34-21=13, Resulting Numbers: [85, 3, 13]
Generated Node #0,1: 27:[85, 3, 13] Operation: 34-21=13
Exploring Operation: 85-34=51, Resulting Numbers: [21, 3, 51]
Generated Node #0,2: 27:[21, 3, 51] Operation: 85-34=51
Exploring Operation: 21/3=7, Resulting Numbers: [85, 34, 7]
Generated Node #0,3: 27:[85, 34, 7] Operation: 21/3=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[21, 3, 51], Operations: ['85-34=51']
Exploring Operation: 51-21=30, Resulting Numbers: [3, 30]
Generated Node #0,2,0: 27:[3, 30] Operation: 51-21=30
Exploring Operation: 21+3=24, Resulting Numbers: [51, 24]
Generated Node #0,2,1: 27:[51, 24] Operation: 21+3=24
Exploring Operation: 21/3=7, Resulting Numbers: [51, 7]
Generated Node #0,2,2: 27:[51, 7] Operation: 21/3=7
Exploring Operation: 51/3=17, Resulting Numbers: [21, 17]
Generated Node #0,2,3: 27:[21, 17] Operation: 51/3=17
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 27:[3, 30], Operations: ['85-34=51', '51-21=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,27 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[21, 85, 34, 3], Operations: []
Exploring Operation: 85-34=51, Resulting Numbers: [21, 3, 51]
Generated Node #0,2: 27:[21, 3, 51] Operation: 85-34=51
Moving to Node #0,2
Current State: 27:[21, 3, 51], Operations: ['85-34=51']
Exploring Operation: 51-21=30, Resulting Numbers: [3, 30]
Generated Node #0,2,0: 27:[3, 30] Operation: 51-21=30
Moving to Node #0,2,0
Current State: 27:[3, 30], Operations: ['85-34=51', '51-21=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
67,
83,
32,
10
] | 12 | [
"83-67=16",
"32/16=2",
"10+2=12"
] | Current State: 12:[67, 83, 32, 10], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [32, 10, 16]
Generated Node #2: [32, 10, 16] from Operation: 83-67=16
Current State: 12:[32, 10, 16], Operations: ['83-67=16']
Exploring Operation: 32/16=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 32/16=2
Current State: 12:[10, 2], Operations: ['83-67=16', '32/16=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[67, 83, 32, 10], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [32, 10, 16]
Generated Node #0,0: 12:[32, 10, 16] Operation: 83-67=16
Exploring Operation: 67-32=35, Resulting Numbers: [83, 10, 35]
Generated Node #0,1: 12:[83, 10, 35] Operation: 67-32=35
Moving to Node #0,0
Current State: 12:[32, 10, 16], Operations: ['83-67=16']
Exploring Operation: 32/16=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 12:[10, 2] Operation: 32/16=2
Exploring Operation: 32-16=16, Resulting Numbers: [10, 16]
Generated Node #0,0,1: 12:[10, 16] Operation: 32-16=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[10, 2], Operations: ['83-67=16', '32/16=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[67, 83, 32, 10], Operations: []
Exploring Operation: 83-67=16, Resulting Numbers: [32, 10, 16]
Generated Node #0,0: 12:[32, 10, 16] Operation: 83-67=16
Moving to Node #0,0
Current State: 12:[32, 10, 16], Operations: ['83-67=16']
Exploring Operation: 32/16=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 12:[10, 2] Operation: 32/16=2
Moving to Node #0,0,0
Current State: 12:[10, 2], Operations: ['83-67=16', '32/16=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
34,
12,
22,
37
] | 30 | [
"37-34=3",
"22-12=10",
"3*10=30"
] | Current State: 30:[34, 12, 22, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [12, 22, 3]
Generated Node #2: [12, 22, 3] from Operation: 37-34=3
Current State: 30:[12, 22, 3], Operations: ['37-34=3']
Exploring Operation: 22-12=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 22-12=10
Current State: 30:[3, 10], Operations: ['37-34=3', '22-12=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[34, 12, 22, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [12, 22, 3]
Generated Node #0,0: 30:[12, 22, 3] Operation: 37-34=3
Exploring Operation: 37-22=15, Resulting Numbers: [34, 12, 15]
Generated Node #0,1: 30:[34, 12, 15] Operation: 37-22=15
Exploring Operation: 34-22=12, Resulting Numbers: [12, 37, 12]
Generated Node #0,2: 30:[12, 37, 12] Operation: 34-22=12
Exploring Operation: 22-12=10, Resulting Numbers: [34, 37, 10]
Generated Node #0,3: 30:[34, 37, 10] Operation: 22-12=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[34, 12, 15], Operations: ['37-22=15']
Exploring Operation: 34-12=22, Resulting Numbers: [15, 22]
Generated Node #0,1,0: 30:[15, 22] Operation: 34-12=22
Exploring Operation: 34-15=19, Resulting Numbers: [12, 19]
Generated Node #0,1,1: 30:[12, 19] Operation: 34-15=19
Exploring Operation: 15-12=3, Resulting Numbers: [34, 3]
Generated Node #0,1,2: 30:[34, 3] Operation: 15-12=3
Exploring Operation: 12+15=27, Resulting Numbers: [34, 27]
Generated Node #0,1,3: 30:[34, 27] Operation: 12+15=27
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 30:[34, 3], Operations: ['37-22=15', '15-12=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,30 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,30 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[12, 19], Operations: ['37-22=15', '34-15=19']
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[15, 22], Operations: ['37-22=15', '34-12=22']
Exploring Operation: 15*22=330, Resulting Numbers: [330]
330,30 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 30:[34, 27], Operations: ['37-22=15', '12+15=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,30 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,30 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[12, 22, 3], Operations: ['37-34=3']
Exploring Operation: 12+22=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 30:[3, 34] Operation: 12+22=34
Exploring Operation: 12+3=15, Resulting Numbers: [22, 15]
Generated Node #0,0,1: 30:[22, 15] Operation: 12+3=15
Exploring Operation: 22-3=19, Resulting Numbers: [12, 19]
Generated Node #0,0,2: 30:[12, 19] Operation: 22-3=19
Exploring Operation: 22-12=10, Resulting Numbers: [3, 10]
Generated Node #0,0,3: 30:[3, 10] Operation: 22-12=10
Moving to Node #0,0,3
Current State: 30:[3, 10], Operations: ['37-34=3', '22-12=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[34, 12, 22, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [12, 22, 3]
Generated Node #0,0: 30:[12, 22, 3] Operation: 37-34=3
Moving to Node #0,0
Current State: 30:[12, 22, 3], Operations: ['37-34=3']
Exploring Operation: 22-12=10, Resulting Numbers: [3, 10]
Generated Node #0,0,3: 30:[3, 10] Operation: 22-12=10
Moving to Node #0,0,3
Current State: 30:[3, 10], Operations: ['37-34=3', '22-12=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
14,
82,
25,
13
] | 57 | [
"14-13=1",
"82-25=57",
"1*57=57"
] | Current State: 57:[14, 82, 25, 13], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [82, 25, 1]
Generated Node #2: [82, 25, 1] from Operation: 14-13=1
Current State: 57:[82, 25, 1], Operations: ['14-13=1']
Exploring Operation: 82-25=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 82-25=57
Current State: 57:[1, 57], Operations: ['14-13=1', '82-25=57']
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[14, 82, 25, 13], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [14, 13, 57]
Generated Node #0,0: 57:[14, 13, 57] Operation: 82-25=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[14, 13, 57], Operations: ['82-25=57']
Exploring Operation: 14-13=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 57:[57, 1] Operation: 14-13=1
Moving to Node #0,0,0
Current State: 57:[57, 1], Operations: ['82-25=57', '14-13=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[14, 82, 25, 13], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [14, 13, 57]
Generated Node #0,0: 57:[14, 13, 57] Operation: 82-25=57
Moving to Node #0,0
Current State: 57:[14, 13, 57], Operations: ['82-25=57']
Exploring Operation: 14-13=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 57:[57, 1] Operation: 14-13=1
Moving to Node #0,0,0
Current State: 57:[57, 1], Operations: ['82-25=57', '14-13=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
83,
53,
83,
75
] | 38 | [
"83-53=30",
"83-75=8",
"30+8=38"
] | Current State: 38:[83, 53, 83, 75], Operations: []
Exploring Operation: 83-53=30, Resulting Numbers: [75, 30]
Generated Node #2: [75, 30] from Operation: 83-53=30
Current State: 38:[75, 30], Operations: ['83-53=30']
Exploring Operation: 83-75=8, Resulting Numbers: [30, 8]
Generated Node #3: [30, 8] from Operation: 83-75=8
Current State: 38:[30, 8], Operations: ['83-53=30', '83-75=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[83, 53, 83, 75], Operations: []
Exploring Operation: 83/83=1, Resulting Numbers: [53, 75, 1]
Generated Node #0,0: 38:[53, 75, 1] Operation: 83/83=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[53, 75, 1], Operations: ['83/83=1']
Exploring Operation: 75-53=22, Resulting Numbers: [1, 22]
Generated Node #0,0,0: 38:[1, 22] Operation: 75-53=22
Moving to Node #0,0,0
Current State: 38:[1, 22], Operations: ['83/83=1', '75-53=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,38 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 |
[
41,
69,
52,
74
] | 13 | [
"52-41=11",
"69+74=143",
"143/11=13"
] | Current State: 13:[41, 69, 52, 74], Operations: []
Exploring Operation: 52-41=11, Resulting Numbers: [69, 74, 11]
Generated Node #2: [69, 74, 11] from Operation: 52-41=11
Current State: 13:[69, 74, 11], Operations: ['52-41=11']
Exploring Operation: 69+74=143, Resulting Numbers: [11, 143]
Generated Node #3: [11, 143] from Operation: 69+74=143
Current State: 13:[11, 143], Operations: ['52-41=11', '69+74=143']
Exploring Operation: 143/11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[41, 69, 52, 74], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [41, 74, 17]
Generated Node #0,0: 13:[41, 74, 17] Operation: 69-52=17
Exploring Operation: 74-69=5, Resulting Numbers: [41, 52, 5]
Generated Node #0,1: 13:[41, 52, 5] Operation: 74-69=5
Moving to Node #0,1
Current State: 13:[41, 52, 5], Operations: ['74-69=5']
Exploring Operation: 41-5=36, Resulting Numbers: [52, 36]
Generated Node #0,1,0: 13:[52, 36] Operation: 41-5=36
Exploring Operation: 52-41=11, Resulting Numbers: [5, 11]
Generated Node #0,1,1: 13:[5, 11] Operation: 52-41=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[5, 11], Operations: ['74-69=5', '52-41=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
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[52, 36], Operations: ['74-69=5', '41-5=36']
Exploring Operation: 52+36=88, Resulting Numbers: [88]
88,13 unequal: No Solution
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,13 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: 13:[41, 74, 17], Operations: ['69-52=17']
Exploring Operation: 41-17=24, Resulting Numbers: [74, 24]
Generated Node #0,0,0: 13:[74, 24] Operation: 41-17=24
Exploring Operation: 74-41=33, Resulting Numbers: [17, 33]
Generated Node #0,0,1: 13:[17, 33] Operation: 74-41=33
Moving to Node #0,0,1
Current State: 13:[17, 33], Operations: ['69-52=17', '74-41=33']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[74, 24], Operations: ['69-52=17', '41-17=24']
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,13 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
96,
24,
62,
79
] | 89 | [
"96-24=72",
"79-62=17",
"72+17=89"
] | Current State: 89:[96, 24, 62, 79], Operations: []
Exploring Operation: 96-24=72, Resulting Numbers: [62, 79, 72]
Generated Node #2: [62, 79, 72] from Operation: 96-24=72
Current State: 89:[62, 79, 72], Operations: ['96-24=72']
Exploring Operation: 79-62=17, Resulting Numbers: [72, 17]
Generated Node #3: [72, 17] from Operation: 79-62=17
Current State: 89:[72, 17], Operations: ['96-24=72', '79-62=17']
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[96, 24, 62, 79], Operations: []
Exploring Operation: 24+62=86, Resulting Numbers: [96, 79, 86]
Generated Node #0,0: 89:[96, 79, 86] Operation: 24+62=86
Exploring Operation: 24+79=103, Resulting Numbers: [96, 62, 103]
Generated Node #0,1: 89:[96, 62, 103] Operation: 24+79=103
Moving to Node #0,0
Current State: 89:[96, 79, 86], Operations: ['24+62=86']
Exploring Operation: 96-79=17, Resulting Numbers: [86, 17]
Generated Node #0,0,0: 89:[86, 17] Operation: 96-79=17
Exploring Operation: 79+86=165, Resulting Numbers: [96, 165]
Generated Node #0,0,1: 89:[96, 165] Operation: 79+86=165
Moving to Node #0,1
Current State: 89:[96, 62, 103], Operations: ['24+79=103']
Exploring Operation: 96-62=34, Resulting Numbers: [103, 34]
Generated Node #0,1,0: 89:[103, 34] Operation: 96-62=34
Exploring Operation: 103-62=41, Resulting Numbers: [96, 41]
Generated Node #0,1,1: 89:[96, 41] Operation: 103-62=41
Moving to Node #0,1,1
Current State: 89:[96, 41], Operations: ['24+79=103', '103-62=41']
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[103, 34], Operations: ['24+79=103', '96-62=34']
Exploring Operation: 103-34=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 103+34=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[86, 17], Operations: ['24+62=86', '96-79=17']
Exploring Operation: 86+17=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[96, 165], Operations: ['24+62=86', '79+86=165']
Exploring Operation: 165-96=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 96+165=261, Resulting Numbers: [261]
261,89 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
37,
8,
38
] | 54 | [
"98+38=136",
"136/8=17",
"37+17=54"
] | Current State: 54:[98, 37, 8, 38], Operations: []
Exploring Operation: 98+38=136, Resulting Numbers: [37, 8, 136]
Generated Node #2: [37, 8, 136] from Operation: 98+38=136
Current State: 54:[37, 8, 136], Operations: ['98+38=136']
Exploring Operation: 136/8=17, Resulting Numbers: [37, 17]
Generated Node #3: [37, 17] from Operation: 136/8=17
Current State: 54:[37, 17], Operations: ['98+38=136', '136/8=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[98, 37, 8, 38], Operations: []
Exploring Operation: 98-38=60, Resulting Numbers: [37, 8, 60]
Generated Node #0,0: 54:[37, 8, 60] Operation: 98-38=60
Exploring Operation: 38-37=1, Resulting Numbers: [98, 8, 1]
Generated Node #0,1: 54:[98, 8, 1] Operation: 38-37=1
Exploring Operation: 98-8=90, Resulting Numbers: [37, 38, 90]
Generated Node #0,2: 54:[37, 38, 90] Operation: 98-8=90
Exploring Operation: 98-37=61, Resulting Numbers: [8, 38, 61]
Generated Node #0,3: 54:[8, 38, 61] Operation: 98-37=61
Moving to Node #0,0
Current State: 54:[37, 8, 60], Operations: ['98-38=60']
Exploring Operation: 37-8=29, Resulting Numbers: [60, 29]
Generated Node #0,0,0: 54:[60, 29] Operation: 37-8=29
Exploring Operation: 37+8=45, Resulting Numbers: [60, 45]
Generated Node #0,0,1: 54:[60, 45] Operation: 37+8=45
Exploring Operation: 60-37=23, Resulting Numbers: [8, 23]
Generated Node #0,0,2: 54:[8, 23] Operation: 60-37=23
Exploring Operation: 60-8=52, Resulting Numbers: [37, 52]
Generated Node #0,0,3: 54:[37, 52] Operation: 60-8=52
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 54:[8, 23], Operations: ['98-38=60', '60-37=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,54 unequal: No Solution
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,54 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 #0,0,0
Current State: 54:[60, 29], Operations: ['98-38=60', '37-8=29']
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,54 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,54 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 #0,0,3
Current State: 54:[37, 52], Operations: ['98-38=60', '60-8=52']
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,54 unequal: No Solution
Exploring Operation: 37*52=1924, Resulting Numbers: [1924]
1924,54 unequal: No Solution
Exploring Operation: 37+52=89, Resulting Numbers: [89]
89,54 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 #0,0,1
Current State: 54:[60, 45], Operations: ['98-38=60', '37+8=45']
Exploring Operation: 60+45=105, Resulting Numbers: [105]
105,54 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,54 unequal: No Solution
Exploring Operation: 60*45=2700, Resulting Numbers: [2700]
2700,54 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: 54:[8, 38, 61], Operations: ['98-37=61']
Exploring Operation: 61-38=23, Resulting Numbers: [8, 23]
Generated Node #0,3,0: 54:[8, 23] Operation: 61-38=23
Exploring Operation: 8+38=46, Resulting Numbers: [61, 46]
Generated Node #0,3,1: 54:[61, 46] Operation: 8+38=46
Exploring Operation: 38-8=30, Resulting Numbers: [61, 30]
Generated Node #0,3,2: 54:[61, 30] Operation: 38-8=30
Exploring Operation: 61-8=53, Resulting Numbers: [38, 53]
Generated Node #0,3,3: 54:[38, 53] Operation: 61-8=53
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 54:[8, 23], Operations: ['98-37=61', '61-38=23']
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,54 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,54 unequal: No Solution
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,54 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 #0,3,2
Current State: 54:[61, 30], Operations: ['98-37=61', '38-8=30']
Exploring Operation: 61*30=1830, Resulting Numbers: [1830]
1830,54 unequal: No Solution
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,54 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 #0,3,3
Current State: 54:[38, 53], Operations: ['98-37=61', '61-8=53']
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,54 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,54 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,54 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 #0,3,1
Current State: 54:[61, 46], Operations: ['98-37=61', '8+38=46']
Exploring Operation: 61*46=2806, Resulting Numbers: [2806]
2806,54 unequal: No Solution
Exploring Operation: 61+46=107, Resulting Numbers: [107]
107,54 unequal: No Solution
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,54 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: 54:[98, 8, 1], Operations: ['38-37=1']
Exploring Operation: 98*1=98, Resulting Numbers: [8, 98]
Generated Node #0,1,0: 54:[8, 98] Operation: 98*1=98
Exploring Operation: 98-1=97, Resulting Numbers: [8, 97]
Generated Node #0,1,1: 54:[8, 97] Operation: 98-1=97
Exploring Operation: 8+1=9, Resulting Numbers: [98, 9]
Generated Node #0,1,2: 54:[98, 9] Operation: 8+1=9
Exploring Operation: 98-8=90, Resulting Numbers: [1, 90]
Generated Node #0,1,3: 54:[1, 90] Operation: 98-8=90
Moving to Node #0,2
Current State: 54:[37, 38, 90], Operations: ['98-8=90']
Exploring Operation: 90-37=53, Resulting Numbers: [38, 53]
Generated Node #0,2,0: 54:[38, 53] Operation: 90-37=53
Exploring Operation: 37+38=75, Resulting Numbers: [90, 75]
Generated Node #0,2,1: 54:[90, 75] Operation: 37+38=75
Exploring Operation: 90-38=52, Resulting Numbers: [37, 52]
Generated Node #0,2,2: 54:[37, 52] Operation: 90-38=52
Exploring Operation: 38-37=1, Resulting Numbers: [90, 1]
Generated Node #0,2,3: 54:[90, 1] Operation: 38-37=1
Moving to Node #0,2,0
Current State: 54:[38, 53], Operations: ['98-8=90', '90-37=53']
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,54 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,54 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[37, 52], Operations: ['98-8=90', '90-38=52']
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,54 unequal: No Solution
Exploring Operation: 37+52=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 37*52=1924, Resulting Numbers: [1924]
1924,54 unequal: No Solution
Moving to Node #0,2,3
Current State: 54:[90, 1], Operations: ['98-8=90', '38-37=1']
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,54 unequal: No Solution
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[1, 90], Operations: ['38-37=1', '98-8=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,54 unequal: No Solution
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[98, 9], Operations: ['38-37=1', '8+1=9']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,54 unequal: No Solution
Exploring Operation: 98*9=882, Resulting Numbers: [882]
882,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[8, 97], Operations: ['38-37=1', '98-1=97']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 8*97=776, Resulting Numbers: [776]
776,54 unequal: No Solution
Exploring Operation: 8+97=105, Resulting Numbers: [105]
105,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[8, 98], Operations: ['38-37=1', '98*1=98']
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,54 unequal: No Solution
Exploring Operation: 8*98=784, Resulting Numbers: [784]
784,54 unequal: No Solution
Exploring Operation: 8+98=106, Resulting Numbers: [106]
106,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[90, 75], Operations: ['98-8=90', '37+38=75']
Exploring Operation: 90*75=6750, Resulting Numbers: [6750]
6750,54 unequal: No Solution
Exploring Operation: 90+75=165, Resulting Numbers: [165]
165,54 unequal: No Solution
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,54 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
47,
21,
33,
15
] | 21 | [
"47-33=14",
"15-14=1",
"21*1=21"
] | Current State: 21:[47, 21, 33, 15], Operations: []
Exploring Operation: 47-33=14, Resulting Numbers: [21, 15, 14]
Generated Node #2: [21, 15, 14] from Operation: 47-33=14
Current State: 21:[21, 15, 14], Operations: ['47-33=14']
Exploring Operation: 15-14=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 15-14=1
Current State: 21:[21, 1], Operations: ['47-33=14', '15-14=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[47, 21, 33, 15], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [47, 21, 18]
Generated Node #0,0: 21:[47, 21, 18] Operation: 33-15=18
Exploring Operation: 47-33=14, Resulting Numbers: [21, 15, 14]
Generated Node #0,1: 21:[21, 15, 14] Operation: 47-33=14
Exploring Operation: 33-21=12, Resulting Numbers: [47, 15, 12]
Generated Node #0,2: 21:[47, 15, 12] Operation: 33-21=12
Exploring Operation: 47-15=32, Resulting Numbers: [21, 33, 32]
Generated Node #0,3: 21:[21, 33, 32] Operation: 47-15=32
Exploring Operation: 47-21=26, Resulting Numbers: [33, 15, 26]
Generated Node #0,4: 21:[33, 15, 26] Operation: 47-21=26
Moving to Node #0,1
Current State: 21:[21, 15, 14], Operations: ['47-33=14']
Exploring Operation: 15+14=29, Resulting Numbers: [21, 29]
Generated Node #0,1,0: 21:[21, 29] Operation: 15+14=29
Exploring Operation: 21-14=7, Resulting Numbers: [15, 7]
Generated Node #0,1,1: 21:[15, 7] Operation: 21-14=7
Exploring Operation: 21-15=6, Resulting Numbers: [14, 6]
Generated Node #0,1,2: 21:[14, 6] Operation: 21-15=6
Exploring Operation: 21+14=35, Resulting Numbers: [15, 35]
Generated Node #0,1,3: 21:[15, 35] Operation: 21+14=35
Exploring Operation: 15-14=1, Resulting Numbers: [21, 1]
Generated Node #0,1,4: 21:[21, 1] Operation: 15-14=1
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 21:[21, 1], Operations: ['47-33=14', '15-14=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[47, 21, 33, 15], Operations: []
Exploring Operation: 47-33=14, Resulting Numbers: [21, 15, 14]
Generated Node #0,1: 21:[21, 15, 14] Operation: 47-33=14
Moving to Node #0,1
Current State: 21:[21, 15, 14], Operations: ['47-33=14']
Exploring Operation: 15-14=1, Resulting Numbers: [21, 1]
Generated Node #0,1,4: 21:[21, 1] Operation: 15-14=1
Moving to Node #0,1,4
Current State: 21:[21, 1], Operations: ['47-33=14', '15-14=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
78,
89,
86,
29
] | 46 | [
"89-78=11",
"86-29=57",
"57-11=46"
] | Current State: 46:[78, 89, 86, 29], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [86, 29, 11]
Generated Node #2: [86, 29, 11] from Operation: 89-78=11
Current State: 46:[86, 29, 11], Operations: ['89-78=11']
Exploring Operation: 86-29=57, Resulting Numbers: [11, 57]
Generated Node #3: [11, 57] from Operation: 86-29=57
Current State: 46:[11, 57], Operations: ['89-78=11', '86-29=57']
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[78, 89, 86, 29], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [89, 29, 8]
Generated Node #0,0: 46:[89, 29, 8] Operation: 86-78=8
Exploring Operation: 89-78=11, Resulting Numbers: [86, 29, 11]
Generated Node #0,1: 46:[86, 29, 11] Operation: 89-78=11
Exploring Operation: 89-86=3, Resulting Numbers: [78, 29, 3]
Generated Node #0,2: 46:[78, 29, 3] Operation: 89-86=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[78, 29, 3], Operations: ['89-86=3']
Exploring Operation: 78-3=75, Resulting Numbers: [29, 75]
Generated Node #0,2,0: 46:[29, 75] Operation: 78-3=75
Exploring Operation: 78-29=49, Resulting Numbers: [3, 49]
Generated Node #0,2,1: 46:[3, 49] Operation: 78-29=49
Exploring Operation: 78/3=26, Resulting Numbers: [29, 26]
Generated Node #0,2,2: 46:[29, 26] Operation: 78/3=26
Moving to Node #0,2,1
Current State: 46:[3, 49], Operations: ['89-86=3', '78-29=49']
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,46 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[78, 89, 86, 29], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [78, 29, 3]
Generated Node #0,2: 46:[78, 29, 3] Operation: 89-86=3
Moving to Node #0,2
Current State: 46:[78, 29, 3], Operations: ['89-86=3']
Exploring Operation: 78-29=49, Resulting Numbers: [3, 49]
Generated Node #0,2,1: 46:[3, 49] Operation: 78-29=49
Moving to Node #0,2,1
Current State: 46:[3, 49], Operations: ['89-86=3', '78-29=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
73,
30,
72,
2
] | 41 | [
"73+30=103",
"72*2=144",
"144-103=41"
] | Current State: 41:[73, 30, 72, 2], Operations: []
Exploring Operation: 73+30=103, Resulting Numbers: [72, 2, 103]
Generated Node #2: [72, 2, 103] from Operation: 73+30=103
Current State: 41:[72, 2, 103], Operations: ['73+30=103']
Exploring Operation: 72*2=144, Resulting Numbers: [103, 144]
Generated Node #3: [103, 144] from Operation: 72*2=144
Current State: 41:[103, 144], Operations: ['73+30=103', '72*2=144']
Exploring Operation: 144-103=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[73, 30, 72, 2], Operations: []
Exploring Operation: 73-2=71, Resulting Numbers: [30, 72, 71]
Generated Node #0,0: 41:[30, 72, 71] Operation: 73-2=71
Exploring Operation: 72/2=36, Resulting Numbers: [73, 30, 36]
Generated Node #0,1: 41:[73, 30, 36] Operation: 72/2=36
Exploring Operation: 73-30=43, Resulting Numbers: [72, 2, 43]
Generated Node #0,2: 41:[72, 2, 43] Operation: 73-30=43
Exploring Operation: 30+2=32, Resulting Numbers: [73, 72, 32]
Generated Node #0,3: 41:[73, 72, 32] Operation: 30+2=32
Exploring Operation: 72-30=42, Resulting Numbers: [73, 2, 42]
Generated Node #0,4: 41:[73, 2, 42] Operation: 72-30=42
Moving to Node #0,1
Current State: 41:[73, 30, 36], Operations: ['72/2=36']
Exploring Operation: 30+36=66, Resulting Numbers: [73, 66]
Generated Node #0,1,0: 41:[73, 66] Operation: 30+36=66
Exploring Operation: 73+30=103, Resulting Numbers: [36, 103]
Generated Node #0,1,1: 41:[36, 103] Operation: 73+30=103
Exploring Operation: 36-30=6, Resulting Numbers: [73, 6]
Generated Node #0,1,2: 41:[73, 6] Operation: 36-30=6
Exploring Operation: 73-30=43, Resulting Numbers: [36, 43]
Generated Node #0,1,3: 41:[36, 43] Operation: 73-30=43
Exploring Operation: 73-36=37, Resulting Numbers: [30, 37]
Generated Node #0,1,4: 41:[30, 37] Operation: 73-36=37
Moving to Node #0,2
Current State: 41:[72, 2, 43], Operations: ['73-30=43']
Exploring Operation: 72+2=74, Resulting Numbers: [43, 74]
Generated Node #0,2,0: 41:[43, 74] Operation: 72+2=74
Exploring Operation: 2+43=45, Resulting Numbers: [72, 45]
Generated Node #0,2,1: 41:[72, 45] Operation: 2+43=45
Exploring Operation: 43-2=41, Resulting Numbers: [72, 41]
Generated Node #0,2,2: 41:[72, 41] Operation: 43-2=41
Exploring Operation: 72/2=36, Resulting Numbers: [43, 36]
Generated Node #0,2,3: 41:[43, 36] Operation: 72/2=36
Exploring Operation: 72-2=70, Resulting Numbers: [43, 70]
Generated Node #0,2,4: 41:[43, 70] Operation: 72-2=70
Moving to Node #0,4
Current State: 41:[73, 2, 42], Operations: ['72-30=42']
Exploring Operation: 2+42=44, Resulting Numbers: [73, 44]
Generated Node #0,4,0: 41:[73, 44] Operation: 2+42=44
Exploring Operation: 42-2=40, Resulting Numbers: [73, 40]
Generated Node #0,4,1: 41:[73, 40] Operation: 42-2=40
Exploring Operation: 73-2=71, Resulting Numbers: [42, 71]
Generated Node #0,4,2: 41:[42, 71] Operation: 73-2=71
Exploring Operation: 73+2=75, Resulting Numbers: [42, 75]
Generated Node #0,4,3: 41:[42, 75] Operation: 73+2=75
Exploring Operation: 73-42=31, Resulting Numbers: [2, 31]
Generated Node #0,4,4: 41:[2, 31] Operation: 73-42=31
Moving to Node #0,0
Current State: 41:[30, 72, 71], Operations: ['73-2=71']
Exploring Operation: 71-30=41, Resulting Numbers: [72, 41]
Generated Node #0,0,0: 41:[72, 41] Operation: 71-30=41
Exploring Operation: 72-71=1, Resulting Numbers: [30, 1]
Generated Node #0,0,1: 41:[30, 1] Operation: 72-71=1
Exploring Operation: 30+71=101, Resulting Numbers: [72, 101]
Generated Node #0,0,2: 41:[72, 101] Operation: 30+71=101
Exploring Operation: 72-30=42, Resulting Numbers: [71, 42]
Generated Node #0,0,3: 41:[71, 42] Operation: 72-30=42
Exploring Operation: 30+72=102, Resulting Numbers: [71, 102]
Generated Node #0,0,4: 41:[71, 102] Operation: 30+72=102
Moving to Node #0,3
Current State: 41:[73, 72, 32], Operations: ['30+2=32']
Exploring Operation: 72+32=104, Resulting Numbers: [73, 104]
Generated Node #0,3,0: 41:[73, 104] Operation: 72+32=104
Exploring Operation: 73-32=41, Resulting Numbers: [72, 41]
Generated Node #0,3,1: 41:[72, 41] Operation: 73-32=41
Exploring Operation: 73+32=105, Resulting Numbers: [72, 105]
Generated Node #0,3,2: 41:[72, 105] Operation: 73+32=105
Exploring Operation: 73-72=1, Resulting Numbers: [32, 1]
Generated Node #0,3,3: 41:[32, 1] Operation: 73-72=1
Exploring Operation: 72-32=40, Resulting Numbers: [73, 40]
Generated Node #0,3,4: 41:[73, 40] Operation: 72-32=40
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 41:[72, 41], Operations: ['30+2=32', '73-32=41']
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,41 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 41:[73, 40], Operations: ['30+2=32', '72-32=40']
Exploring Operation: 73+40=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 73*40=2920, Resulting Numbers: [2920]
2920,41 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 41:[32, 1], Operations: ['30+2=32', '73-72=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 41:[73, 104], Operations: ['30+2=32', '72+32=104']
Exploring Operation: 73*104=7592, Resulting Numbers: [7592]
7592,41 unequal: No Solution
Exploring Operation: 73+104=177, Resulting Numbers: [177]
177,41 unequal: No Solution
Exploring Operation: 104-73=31, Resulting Numbers: [31]
31,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[72, 105], Operations: ['30+2=32', '73+32=105']
Exploring Operation: 72+105=177, Resulting Numbers: [177]
177,41 unequal: No Solution
Exploring Operation: 72*105=7560, Resulting Numbers: [7560]
7560,41 unequal: No Solution
Exploring Operation: 105-72=33, Resulting Numbers: [33]
33,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 41:[36, 43], Operations: ['72/2=36', '73-30=43']
Exploring Operation: 36*43=1548, Resulting Numbers: [1548]
1548,41 unequal: No Solution
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 36+43=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[43, 36], Operations: ['73-30=43', '72/2=36']
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 43+36=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 43*36=1548, Resulting Numbers: [1548]
1548,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[30, 37], Operations: ['72/2=36', '73-36=37']
Exploring Operation: 30+37=67, Resulting Numbers: [67]
67,41 unequal: No Solution
Exploring Operation: 30*37=1110, Resulting Numbers: [1110]
1110,41 unequal: No Solution
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[72, 41], Operations: ['73-30=43', '43-2=41']
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,41 unequal: No Solution
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Moving to Node #0,4,2
Current State: 41:[42, 71], Operations: ['72-30=42', '73-2=71']
Exploring Operation: 42+71=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 42*71=2982, Resulting Numbers: [2982]
2982,41 unequal: No Solution
Moving to Node #0,2,4
Current State: 41:[43, 70], Operations: ['73-30=43', '72-2=70']
Exploring Operation: 43+70=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 43*70=3010, Resulting Numbers: [3010]
3010,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[72, 41], Operations: ['73-2=71', '71-30=41']
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[71, 42], Operations: ['73-2=71', '72-30=42']
Exploring Operation: 71*42=2982, Resulting Numbers: [2982]
2982,41 unequal: No Solution
Exploring Operation: 71+42=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Moving to Node #0,4,1
Current State: 41:[73, 40], Operations: ['72-30=42', '42-2=40']
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 73*40=2920, Resulting Numbers: [2920]
2920,41 unequal: No Solution
Exploring Operation: 73+40=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Moving to Node #0,4,3
Current State: 41:[42, 75], Operations: ['72-30=42', '73+2=75']
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,41 unequal: No Solution
Moving to Node #0,4,0
Current State: 41:[73, 44], Operations: ['72-30=42', '2+42=44']
Exploring Operation: 73+44=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 73*44=3212, Resulting Numbers: [3212]
3212,41 unequal: No Solution
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[72, 45], Operations: ['73-30=43', '2+43=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 72*45=3240, Resulting Numbers: [3240]
3240,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[43, 74], Operations: ['73-30=43', '72+2=74']
Exploring Operation: 43+74=117, Resulting Numbers: [117]
117,41 unequal: No Solution
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 43*74=3182, Resulting Numbers: [3182]
3182,41 unequal: No Solution
Moving to Node #0,4,4
Current State: 41:[2, 31], Operations: ['72-30=42', '73-42=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[30, 1], Operations: ['73-2=71', '72-71=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[73, 66], Operations: ['72/2=36', '30+36=66']
Exploring Operation: 73-66=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 73*66=4818, Resulting Numbers: [4818]
4818,41 unequal: No Solution
Exploring Operation: 73+66=139, Resulting Numbers: [139]
139,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[73, 6], Operations: ['72/2=36', '36-30=6']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,41 unequal: No Solution
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,41 unequal: No Solution
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[36, 103], Operations: ['72/2=36', '73+30=103']
Exploring Operation: 36*103=3708, Resulting Numbers: [3708]
3708,41 unequal: No Solution
Exploring Operation: 103-36=67, Resulting Numbers: [67]
67,41 unequal: No Solution
Exploring Operation: 36+103=139, Resulting Numbers: [139]
139,41 unequal: No Solution
Moving to Node #0,0,4
Current State: 41:[71, 102], Operations: ['73-2=71', '30+72=102']
Exploring Operation: 102-71=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 71+102=173, Resulting Numbers: [173]
173,41 unequal: No Solution
Exploring Operation: 71*102=7242, Resulting Numbers: [7242]
7242,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[72, 101], Operations: ['73-2=71', '30+71=101']
Exploring Operation: 72*101=7272, Resulting Numbers: [7272]
7272,41 unequal: No Solution
Exploring Operation: 101-72=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 72+101=173, Resulting Numbers: [173]
173,41 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
58,
43,
56,
46
] | 66 | [
"58-56=2",
"46/2=23",
"43+23=66"
] | Current State: 66:[58, 43, 56, 46], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [43, 46, 2]
Generated Node #2: [43, 46, 2] from Operation: 58-56=2
Current State: 66:[43, 46, 2], Operations: ['58-56=2']
Exploring Operation: 46/2=23, Resulting Numbers: [43, 23]
Generated Node #3: [43, 23] from Operation: 46/2=23
Current State: 66:[43, 23], Operations: ['58-56=2', '46/2=23']
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[58, 43, 56, 46], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [58, 56, 3]
Generated Node #0,0: 66:[58, 56, 3] Operation: 46-43=3
Exploring Operation: 56-43=13, Resulting Numbers: [58, 46, 13]
Generated Node #0,1: 66:[58, 46, 13] Operation: 56-43=13
Exploring Operation: 56-46=10, Resulting Numbers: [58, 43, 10]
Generated Node #0,2: 66:[58, 43, 10] Operation: 56-46=10
Exploring Operation: 58-56=2, Resulting Numbers: [43, 46, 2]
Generated Node #0,3: 66:[43, 46, 2] Operation: 58-56=2
Exploring Operation: 58-46=12, Resulting Numbers: [43, 56, 12]
Generated Node #0,4: 66:[43, 56, 12] Operation: 58-46=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[58, 56, 3], Operations: ['46-43=3']
Exploring Operation: 58-3=55, Resulting Numbers: [56, 55]
Generated Node #0,0,0: 66:[56, 55] Operation: 58-3=55
Exploring Operation: 56+3=59, Resulting Numbers: [58, 59]
Generated Node #0,0,1: 66:[58, 59] Operation: 56+3=59
Exploring Operation: 56-3=53, Resulting Numbers: [58, 53]
Generated Node #0,0,2: 66:[58, 53] Operation: 56-3=53
Exploring Operation: 58-56=2, Resulting Numbers: [3, 2]
Generated Node #0,0,3: 66:[3, 2] Operation: 58-56=2
Exploring Operation: 58+3=61, Resulting Numbers: [56, 61]
Generated Node #0,0,4: 66:[56, 61] Operation: 58+3=61
Moving to Node #0,0,3
Current State: 66:[3, 2], Operations: ['46-43=3', '58-56=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Moving to Node #0,0,4
Current State: 66:[56, 61], Operations: ['46-43=3', '58+3=61']
Exploring Operation: 56*61=3416, Resulting Numbers: [3416]
3416,66 unequal: No Solution
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,66 unequal: No Solution
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[58, 59], Operations: ['46-43=3', '56+3=59']
Exploring Operation: 58*59=3422, Resulting Numbers: [3422]
3422,66 unequal: No Solution
Exploring Operation: 58+59=117, Resulting Numbers: [117]
117,66 unequal: No Solution
Exploring Operation: 59-58=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[56, 55], Operations: ['46-43=3', '58-3=55']
Exploring Operation: 56+55=111, Resulting Numbers: [111]
111,66 unequal: No Solution
Exploring Operation: 56*55=3080, Resulting Numbers: [3080]
3080,66 unequal: No Solution
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[58, 53], Operations: ['46-43=3', '56-3=53']
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,66 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,66 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[58, 43, 10], Operations: ['56-46=10']
Exploring Operation: 43-10=33, Resulting Numbers: [58, 33]
Generated Node #0,2,0: 66:[58, 33] Operation: 43-10=33
Exploring Operation: 58+10=68, Resulting Numbers: [43, 68]
Generated Node #0,2,1: 66:[43, 68] Operation: 58+10=68
Exploring Operation: 58-10=48, Resulting Numbers: [43, 48]
Generated Node #0,2,2: 66:[43, 48] Operation: 58-10=48
Exploring Operation: 43+10=53, Resulting Numbers: [58, 53]
Generated Node #0,2,3: 66:[58, 53] Operation: 43+10=53
Exploring Operation: 58-43=15, Resulting Numbers: [10, 15]
Generated Node #0,2,4: 66:[10, 15] Operation: 58-43=15
Moving to Node #0,2,4
Current State: 66:[10, 15], Operations: ['56-46=10', '58-43=15']
Exploring Operation: 10*15=150, Resulting Numbers: [150]
150,66 unequal: No Solution
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[58, 33], Operations: ['56-46=10', '43-10=33']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 58*33=1914, Resulting Numbers: [1914]
1914,66 unequal: No Solution
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[43, 68], Operations: ['56-46=10', '58+10=68']
Exploring Operation: 43*68=2924, Resulting Numbers: [2924]
2924,66 unequal: No Solution
Exploring Operation: 43+68=111, Resulting Numbers: [111]
111,66 unequal: No Solution
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[58, 53], Operations: ['56-46=10', '43+10=53']
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,66 unequal: No Solution
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[43, 48], Operations: ['56-46=10', '58-10=48']
Exploring Operation: 43*48=2064, Resulting Numbers: [2064]
2064,66 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 43+48=91, Resulting Numbers: [91]
91,66 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 #0,4
Current State: 66:[43, 56, 12], Operations: ['58-46=12']
Exploring Operation: 43-12=31, Resulting Numbers: [56, 31]
Generated Node #0,4,0: 66:[56, 31] Operation: 43-12=31
Exploring Operation: 56-12=44, Resulting Numbers: [43, 44]
Generated Node #0,4,1: 66:[43, 44] Operation: 56-12=44
Exploring Operation: 43+12=55, Resulting Numbers: [56, 55]
Generated Node #0,4,2: 66:[56, 55] Operation: 43+12=55
Exploring Operation: 56+12=68, Resulting Numbers: [43, 68]
Generated Node #0,4,3: 66:[43, 68] Operation: 56+12=68
Exploring Operation: 56-43=13, Resulting Numbers: [12, 13]
Generated Node #0,4,4: 66:[12, 13] Operation: 56-43=13
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 66:[12, 13], Operations: ['58-46=12', '56-43=13']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,66 unequal: No Solution
No 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: 66:[56, 31], Operations: ['58-46=12', '43-12=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,66 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,66 unequal: No Solution
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,66 unequal: No Solution
No 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: 66:[43, 68], Operations: ['58-46=12', '56+12=68']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 43*68=2924, Resulting Numbers: [2924]
2924,66 unequal: No Solution
Exploring Operation: 43+68=111, Resulting Numbers: [111]
111,66 unequal: No Solution
No 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: 66:[43, 44], Operations: ['58-46=12', '56-12=44']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 43*44=1892, Resulting Numbers: [1892]
1892,66 unequal: No Solution
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,66 unequal: No Solution
No 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: 66:[56, 55], Operations: ['58-46=12', '43+12=55']
Exploring Operation: 56+55=111, Resulting Numbers: [111]
111,66 unequal: No Solution
Exploring Operation: 56*55=3080, Resulting Numbers: [3080]
3080,66 unequal: No Solution
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[58, 46, 13], Operations: ['56-43=13']
Exploring Operation: 58-46=12, Resulting Numbers: [13, 12]
Generated Node #0,1,0: 66:[13, 12] Operation: 58-46=12
Exploring Operation: 46+13=59, Resulting Numbers: [58, 59]
Generated Node #0,1,1: 66:[58, 59] Operation: 46+13=59
Exploring Operation: 58-13=45, Resulting Numbers: [46, 45]
Generated Node #0,1,2: 66:[46, 45] Operation: 58-13=45
Exploring Operation: 46-13=33, Resulting Numbers: [58, 33]
Generated Node #0,1,3: 66:[58, 33] Operation: 46-13=33
Exploring Operation: 58+13=71, Resulting Numbers: [46, 71]
Generated Node #0,1,4: 66:[46, 71] Operation: 58+13=71
Moving to Node #0,1,0
Current State: 66:[13, 12], Operations: ['56-43=13', '58-46=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,66 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[58, 33], Operations: ['56-43=13', '46-13=33']
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 58*33=1914, Resulting Numbers: [1914]
1914,66 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[58, 59], Operations: ['56-43=13', '46+13=59']
Exploring Operation: 58+59=117, Resulting Numbers: [117]
117,66 unequal: No Solution
Exploring Operation: 58*59=3422, Resulting Numbers: [3422]
3422,66 unequal: No Solution
Exploring Operation: 59-58=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Moving to Node #0,1,4
Current State: 66:[46, 71], Operations: ['56-43=13', '58+13=71']
Exploring Operation: 46*71=3266, Resulting Numbers: [3266]
3266,66 unequal: No Solution
Exploring Operation: 46+71=117, Resulting Numbers: [117]
117,66 unequal: No Solution
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Moving to Node #0,1,2
Current State: 66:[46, 45], Operations: ['56-43=13', '58-13=45']
Exploring Operation: 46+45=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 46-45=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 46*45=2070, Resulting Numbers: [2070]
2070,66 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 #0,3
Current State: 66:[43, 46, 2], Operations: ['58-56=2']
Exploring Operation: 46-2=44, Resulting Numbers: [43, 44]
Generated Node #0,3,0: 66:[43, 44] Operation: 46-2=44
Exploring Operation: 43-2=41, Resulting Numbers: [46, 41]
Generated Node #0,3,1: 66:[46, 41] Operation: 43-2=41
Exploring Operation: 46/2=23, Resulting Numbers: [43, 23]
Generated Node #0,3,2: 66:[43, 23] Operation: 46/2=23
Exploring Operation: 46-43=3, Resulting Numbers: [2, 3]
Generated Node #0,3,3: 66:[2, 3] Operation: 46-43=3
Exploring Operation: 43+46=89, Resulting Numbers: [2, 89]
Generated Node #0,3,4: 66:[2, 89] Operation: 43+46=89
Moving to Node #0,3,3
Current State: 66:[2, 3], Operations: ['58-56=2', '46-43=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[43, 23], Operations: ['58-56=2', '46/2=23']
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[58, 43, 56, 46], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [43, 46, 2]
Generated Node #0,3: 66:[43, 46, 2] Operation: 58-56=2
Moving to Node #0,3
Current State: 66:[43, 46, 2], Operations: ['58-56=2']
Exploring Operation: 46/2=23, Resulting Numbers: [43, 23]
Generated Node #0,3,2: 66:[43, 23] Operation: 46/2=23
Moving to Node #0,3,2
Current State: 66:[43, 23], Operations: ['58-56=2', '46/2=23']
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.914931 | hs_5 | sum_heuristic |
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