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 |
|---|---|---|---|---|---|---|---|---|
[
82,
8,
87,
24
] | 64 | [
"87-82=5",
"8*5=40",
"24+40=64"
] | Current State: 64:[82, 8, 87, 24], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [8, 24, 5]
Generated Node #2: [8, 24, 5] from Operation: 87-82=5
Current State: 64:[8, 24, 5], Operations: ['87-82=5']
Exploring Operation: 8*5=40, Resulting Numbers: [24, 40]
Generated Node #3: [24, 40] from Operation: 8*5=40
Current State: 64:[24, 40], Operations: ['87-82=5', '8*5=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[82, 8, 87, 24], Operations: []
Exploring Operation: 82-24=58, Resulting Numbers: [8, 87, 58]
Generated Node #0,0: 64:[8, 87, 58] Operation: 82-24=58
Exploring Operation: 87-24=63, Resulting Numbers: [82, 8, 63]
Generated Node #0,1: 64:[82, 8, 63] Operation: 87-24=63
Exploring Operation: 87-82=5, Resulting Numbers: [8, 24, 5]
Generated Node #0,2: 64:[8, 24, 5] Operation: 87-82=5
Moving to Node #0,2
Current State: 64:[8, 24, 5], Operations: ['87-82=5']
Exploring Operation: 24/8=3, Resulting Numbers: [5, 3]
Generated Node #0,2,0: 64:[5, 3] Operation: 24/8=3
Exploring Operation: 24-8=16, Resulting Numbers: [5, 16]
Generated Node #0,2,1: 64:[5, 16] Operation: 24-8=16
Exploring Operation: 8+24=32, Resulting Numbers: [5, 32]
Generated Node #0,2,2: 64:[5, 32] Operation: 8+24=32
Moving to Node #0,1
Current State: 64:[82, 8, 63], Operations: ['87-24=63']
Exploring Operation: 82-8=74, Resulting Numbers: [63, 74]
Generated Node #0,1,0: 64:[63, 74] Operation: 82-8=74
Exploring Operation: 8+63=71, Resulting Numbers: [82, 71]
Generated Node #0,1,1: 64:[82, 71] Operation: 8+63=71
Exploring Operation: 82-63=19, Resulting Numbers: [8, 19]
Generated Node #0,1,2: 64:[8, 19] Operation: 82-63=19
Moving to Node #0,0
Current State: 64:[8, 87, 58], Operations: ['82-24=58']
Exploring Operation: 87-58=29, Resulting Numbers: [8, 29]
Generated Node #0,0,0: 64:[8, 29] Operation: 87-58=29
Exploring Operation: 8+58=66, Resulting Numbers: [87, 66]
Generated Node #0,0,1: 64:[87, 66] Operation: 8+58=66
Exploring Operation: 87-8=79, Resulting Numbers: [58, 79]
Generated Node #0,0,2: 64:[58, 79] Operation: 87-8=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[8, 29], Operations: ['82-24=58', '87-58=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[58, 79], Operations: ['82-24=58', '87-8=79']
Exploring Operation: 79-58=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 58+79=137, Resulting Numbers: [137]
137,64 unequal: No Solution
Exploring Operation: 58*79=4582, Resulting Numbers: [4582]
4582,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[87, 66], Operations: ['82-24=58', '8+58=66']
Exploring Operation: 87+66=153, Resulting Numbers: [153]
153,64 unequal: No Solution
Exploring Operation: 87-66=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 87*66=5742, Resulting Numbers: [5742]
5742,64 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: 64:[5, 16], Operations: ['87-82=5', '24-8=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,64 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,64 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[5, 32], Operations: ['87-82=5', '8+24=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,64 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[5, 3], Operations: ['87-82=5', '24/8=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[8, 19], Operations: ['87-24=63', '82-63=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[63, 74], Operations: ['87-24=63', '82-8=74']
Exploring Operation: 63*74=4662, Resulting Numbers: [4662]
4662,64 unequal: No Solution
Exploring Operation: 63+74=137, Resulting Numbers: [137]
137,64 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[82, 71], Operations: ['87-24=63', '8+63=71']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 82*71=5822, Resulting Numbers: [5822]
5822,64 unequal: No Solution
Exploring Operation: 82+71=153, Resulting Numbers: [153]
153,64 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
26,
41,
25,
37
] | 63 | [
"26*37=962",
"41*25=1025",
"1025-962=63"
] | Current State: 63:[26, 41, 25, 37], Operations: []
Exploring Operation: 26*37=962, Resulting Numbers: [41, 25, 962]
Generated Node #2: [41, 25, 962] from Operation: 26*37=962
Current State: 63:[41, 25, 962], Operations: ['26*37=962']
Exploring Operation: 41*25=1025, Resulting Numbers: [962, 1025]
Generated Node #3: [962, 1025] from Operation: 41*25=1025
Current State: 63:[962, 1025], Operations: ['26*37=962', '41*25=1025']
Exploring Operation: 1025-962=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[26, 41, 25, 37], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [26, 25, 4]
Generated Node #0,0: 63:[26, 25, 4] Operation: 41-37=4
Moving to Node #0,0
Current State: 63:[26, 25, 4], Operations: ['41-37=4']
Exploring Operation: 26-25=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 63:[4, 1] Operation: 26-25=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[4, 1], Operations: ['41-37=4', '26-25=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
11,
3,
77,
17
] | 86 | [
"11-3=8",
"77+17=94",
"94-8=86"
] | Current State: 86:[11, 3, 77, 17], Operations: []
Exploring Operation: 11-3=8, Resulting Numbers: [77, 17, 8]
Generated Node #2: [77, 17, 8] from Operation: 11-3=8
Current State: 86:[77, 17, 8], Operations: ['11-3=8']
Exploring Operation: 77+17=94, Resulting Numbers: [8, 94]
Generated Node #3: [8, 94] from Operation: 77+17=94
Current State: 86:[8, 94], Operations: ['11-3=8', '77+17=94']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[11, 3, 77, 17], Operations: []
Exploring Operation: 17-11=6, Resulting Numbers: [3, 77, 6]
Generated Node #0,0: 86:[3, 77, 6] Operation: 17-11=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[3, 77, 6], Operations: ['17-11=6']
Exploring Operation: 77+6=83, Resulting Numbers: [3, 83]
Generated Node #0,0,0: 86:[3, 83] Operation: 77+6=83
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[3, 83], Operations: ['17-11=6', '77+6=83']
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[11, 3, 77, 17], Operations: []
Exploring Operation: 17-11=6, Resulting Numbers: [3, 77, 6]
Generated Node #0,0: 86:[3, 77, 6] Operation: 17-11=6
Moving to Node #0,0
Current State: 86:[3, 77, 6], Operations: ['17-11=6']
Exploring Operation: 77+6=83, Resulting Numbers: [3, 83]
Generated Node #0,0,0: 86:[3, 83] Operation: 77+6=83
Moving to Node #0,0,0
Current State: 86:[3, 83], Operations: ['17-11=6', '77+6=83']
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
74,
92,
46,
94
] | 83 | [
"94-92=2",
"74/2=37",
"46+37=83"
] | Current State: 83:[74, 92, 46, 94], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [74, 46, 2]
Generated Node #2: [74, 46, 2] from Operation: 94-92=2
Current State: 83:[74, 46, 2], Operations: ['94-92=2']
Exploring Operation: 74/2=37, Resulting Numbers: [46, 37]
Generated Node #3: [46, 37] from Operation: 74/2=37
Current State: 83:[46, 37], Operations: ['94-92=2', '74/2=37']
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[74, 92, 46, 94], Operations: []
Exploring Operation: 74-46=28, Resulting Numbers: [92, 94, 28]
Generated Node #0,0: 83:[92, 94, 28] Operation: 74-46=28
Exploring Operation: 92-46=46, Resulting Numbers: [74, 94, 46]
Generated Node #0,1: 83:[74, 94, 46] Operation: 92-46=46
Exploring Operation: 94-46=48, Resulting Numbers: [74, 92, 48]
Generated Node #0,2: 83:[74, 92, 48] Operation: 94-46=48
Exploring Operation: 74+46=120, Resulting Numbers: [92, 94, 120]
Generated Node #0,3: 83:[92, 94, 120] Operation: 74+46=120
Moving to Node #0,2
Current State: 83:[74, 92, 48], Operations: ['94-46=48']
Exploring Operation: 74-48=26, Resulting Numbers: [92, 26]
Generated Node #0,2,0: 83:[92, 26] Operation: 74-48=26
Exploring Operation: 92-48=44, Resulting Numbers: [74, 44]
Generated Node #0,2,1: 83:[74, 44] Operation: 92-48=44
Exploring Operation: 74+48=122, Resulting Numbers: [92, 122]
Generated Node #0,2,2: 83:[92, 122] Operation: 74+48=122
Exploring Operation: 92+48=140, Resulting Numbers: [74, 140]
Generated Node #0,2,3: 83:[74, 140] Operation: 92+48=140
Moving to Node #0,3
Current State: 83:[92, 94, 120], Operations: ['74+46=120']
Exploring Operation: 120-92=28, Resulting Numbers: [94, 28]
Generated Node #0,3,0: 83:[94, 28] Operation: 120-92=28
Exploring Operation: 94-92=2, Resulting Numbers: [120, 2]
Generated Node #0,3,1: 83:[120, 2] Operation: 94-92=2
Exploring Operation: 120-94=26, Resulting Numbers: [92, 26]
Generated Node #0,3,2: 83:[92, 26] Operation: 120-94=26
Exploring Operation: 92+94=186, Resulting Numbers: [120, 186]
Generated Node #0,3,3: 83:[120, 186] Operation: 92+94=186
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[94, 28], Operations: ['74+46=120', '120-92=28']
Exploring Operation: 94+28=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 94*28=2632, Resulting Numbers: [2632]
2632,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 83:[92, 26], Operations: ['74+46=120', '120-94=26']
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 92+26=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 92*26=2392, Resulting Numbers: [2392]
2392,83 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 #0,3,1
Current State: 83:[120, 2], Operations: ['74+46=120', '94-92=2']
Exploring Operation: 120-2=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 120*2=240, Resulting Numbers: [240]
240,83 unequal: No Solution
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 120+2=122, Resulting Numbers: [122]
122,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 83:[120, 186], Operations: ['74+46=120', '92+94=186']
Exploring Operation: 120+186=306, Resulting Numbers: [306]
306,83 unequal: No Solution
Exploring Operation: 120*186=22320, Resulting Numbers: [22320]
22320,83 unequal: No Solution
Exploring Operation: 186-120=66, Resulting Numbers: [66]
66,83 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: 83:[74, 94, 46], Operations: ['92-46=46']
Exploring Operation: 74+46=120, Resulting Numbers: [94, 120]
Generated Node #0,1,0: 83:[94, 120] Operation: 74+46=120
Exploring Operation: 94+46=140, Resulting Numbers: [74, 140]
Generated Node #0,1,1: 83:[74, 140] Operation: 94+46=140
Exploring Operation: 94-46=48, Resulting Numbers: [74, 48]
Generated Node #0,1,2: 83:[74, 48] Operation: 94-46=48
Exploring Operation: 74-46=28, Resulting Numbers: [94, 28]
Generated Node #0,1,3: 83:[94, 28] Operation: 74-46=28
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[74, 48], Operations: ['92-46=46', '94-46=48']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 74*48=3552, Resulting Numbers: [3552]
3552,83 unequal: No Solution
Exploring Operation: 74+48=122, Resulting Numbers: [122]
122,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[94, 120], Operations: ['92-46=46', '74+46=120']
Exploring Operation: 120-94=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 94+120=214, Resulting Numbers: [214]
214,83 unequal: No Solution
Exploring Operation: 94*120=11280, Resulting Numbers: [11280]
11280,83 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 #0,1,1
Current State: 83:[74, 140], Operations: ['92-46=46', '94+46=140']
Exploring Operation: 74*140=10360, Resulting Numbers: [10360]
10360,83 unequal: No Solution
Exploring Operation: 74+140=214, Resulting Numbers: [214]
214,83 unequal: No Solution
Exploring Operation: 140-74=66, Resulting Numbers: [66]
66,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[94, 28], Operations: ['92-46=46', '74-46=28']
Exploring Operation: 94*28=2632, Resulting Numbers: [2632]
2632,83 unequal: No Solution
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 94+28=122, Resulting Numbers: [122]
122,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 83:[92, 94, 28], Operations: ['74-46=28']
Exploring Operation: 92+28=120, Resulting Numbers: [94, 120]
Generated Node #0,0,0: 83:[94, 120] Operation: 92+28=120
Exploring Operation: 94-28=66, Resulting Numbers: [92, 66]
Generated Node #0,0,1: 83:[92, 66] Operation: 94-28=66
Exploring Operation: 94+28=122, Resulting Numbers: [92, 122]
Generated Node #0,0,2: 83:[92, 122] Operation: 94+28=122
Exploring Operation: 92-28=64, Resulting Numbers: [94, 64]
Generated Node #0,0,3: 83:[94, 64] Operation: 92-28=64
Moving to Node #0,0,1
Current State: 83:[92, 66], Operations: ['74-46=28', '94-28=66']
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 92*66=6072, Resulting Numbers: [6072]
6072,83 unequal: No Solution
Exploring Operation: 92+66=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[94, 64], Operations: ['74-46=28', '92-28=64']
Exploring Operation: 94+64=158, Resulting Numbers: [158]
158,83 unequal: No Solution
Exploring Operation: 94-64=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 94*64=6016, Resulting Numbers: [6016]
6016,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[94, 120], Operations: ['74-46=28', '92+28=120']
Exploring Operation: 94+120=214, Resulting Numbers: [214]
214,83 unequal: No Solution
Exploring Operation: 94*120=11280, Resulting Numbers: [11280]
11280,83 unequal: No Solution
Exploring Operation: 120-94=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[74, 44], Operations: ['94-46=48', '92-48=44']
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,83 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[92, 122], Operations: ['94-46=48', '74+48=122']
Exploring Operation: 92+122=214, Resulting Numbers: [214]
214,83 unequal: No Solution
Exploring Operation: 122-92=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 92*122=11224, Resulting Numbers: [11224]
11224,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[92, 122], Operations: ['74-46=28', '94+28=122']
Exploring Operation: 92*122=11224, Resulting Numbers: [11224]
11224,83 unequal: No Solution
Exploring Operation: 122-92=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 92+122=214, Resulting Numbers: [214]
214,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[74, 140], Operations: ['94-46=48', '92+48=140']
Exploring Operation: 74+140=214, Resulting Numbers: [214]
214,83 unequal: No Solution
Exploring Operation: 74*140=10360, Resulting Numbers: [10360]
10360,83 unequal: No Solution
Exploring Operation: 140-74=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[92, 26], Operations: ['94-46=48', '74-48=26']
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 92*26=2392, Resulting Numbers: [2392]
2392,83 unequal: No Solution
Exploring Operation: 92+26=118, Resulting Numbers: [118]
118,83 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
75,
58,
50
] | 93 | [
"4+58=62",
"75*62=4650",
"4650/50=93"
] | Current State: 93:[4, 75, 58, 50], Operations: []
Exploring Operation: 4+58=62, Resulting Numbers: [75, 50, 62]
Generated Node #2: [75, 50, 62] from Operation: 4+58=62
Current State: 93:[75, 50, 62], Operations: ['4+58=62']
Exploring Operation: 75*62=4650, Resulting Numbers: [50, 4650]
Generated Node #3: [50, 4650] from Operation: 75*62=4650
Current State: 93:[50, 4650], Operations: ['4+58=62', '75*62=4650']
Exploring Operation: 4650/50=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[4, 75, 58, 50], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [4, 75, 8]
Generated Node #0,0: 93:[4, 75, 8] Operation: 58-50=8
Exploring Operation: 75-58=17, Resulting Numbers: [4, 50, 17]
Generated Node #0,1: 93:[4, 50, 17] Operation: 75-58=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[4, 75, 8], Operations: ['58-50=8']
Exploring Operation: 4+75=79, Resulting Numbers: [8, 79]
Generated Node #0,0,0: 93:[8, 79] Operation: 4+75=79
Exploring Operation: 75+8=83, Resulting Numbers: [4, 83]
Generated Node #0,0,1: 93:[4, 83] Operation: 75+8=83
Moving to Node #0,0,1
Current State: 93:[4, 83], Operations: ['58-50=8', '75+8=83']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Exploring Operation: 4+83=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[8, 79], Operations: ['58-50=8', '4+75=79']
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,93 unequal: No Solution
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,93 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:[4, 50, 17], Operations: ['75-58=17']
Exploring Operation: 50-17=33, Resulting Numbers: [4, 33]
Generated Node #0,1,0: 93:[4, 33] Operation: 50-17=33
Exploring Operation: 50+17=67, Resulting Numbers: [4, 67]
Generated Node #0,1,1: 93:[4, 67] Operation: 50+17=67
Moving to Node #0,1,0
Current State: 93:[4, 33], Operations: ['75-58=17', '50-17=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,93 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[4, 67], Operations: ['75-58=17', '50+17=67']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Exploring Operation: 4+67=71, Resulting Numbers: [71]
71,93 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 |
[
5,
78,
85,
81
] | 79 | [
"5+78=83",
"85-81=4",
"83-4=79"
] | Current State: 79:[5, 78, 85, 81], Operations: []
Exploring Operation: 5+78=83, Resulting Numbers: [85, 81, 83]
Generated Node #2: [85, 81, 83] from Operation: 5+78=83
Current State: 79:[85, 81, 83], Operations: ['5+78=83']
Exploring Operation: 85-81=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 85-81=4
Current State: 79:[83, 4], Operations: ['5+78=83', '85-81=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[5, 78, 85, 81], Operations: []
Exploring Operation: 85-5=80, Resulting Numbers: [78, 81, 80]
Generated Node #0,0: 79:[78, 81, 80] Operation: 85-5=80
Exploring Operation: 5+78=83, Resulting Numbers: [85, 81, 83]
Generated Node #0,1: 79:[85, 81, 83] Operation: 5+78=83
Exploring Operation: 81-5=76, Resulting Numbers: [78, 85, 76]
Generated Node #0,2: 79:[78, 85, 76] Operation: 81-5=76
Exploring Operation: 78-5=73, Resulting Numbers: [85, 81, 73]
Generated Node #0,3: 79:[85, 81, 73] Operation: 78-5=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[78, 81, 80], Operations: ['85-5=80']
Exploring Operation: 80-78=2, Resulting Numbers: [81, 2]
Generated Node #0,0,0: 79:[81, 2] Operation: 80-78=2
Exploring Operation: 81-80=1, Resulting Numbers: [78, 1]
Generated Node #0,0,1: 79:[78, 1] Operation: 81-80=1
Exploring Operation: 78+81=159, Resulting Numbers: [80, 159]
Generated Node #0,0,2: 79:[80, 159] Operation: 78+81=159
Exploring Operation: 81-78=3, Resulting Numbers: [80, 3]
Generated Node #0,0,3: 79:[80, 3] Operation: 81-78=3
Moving to Node #0,0,3
Current State: 79:[80, 3], Operations: ['85-5=80', '81-78=3']
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,79 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,79 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[78, 1], Operations: ['85-5=80', '81-80=1']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[5, 78, 85, 81], Operations: []
Exploring Operation: 85-5=80, Resulting Numbers: [78, 81, 80]
Generated Node #0,0: 79:[78, 81, 80] Operation: 85-5=80
Moving to Node #0,0
Current State: 79:[78, 81, 80], Operations: ['85-5=80']
Exploring Operation: 81-80=1, Resulting Numbers: [78, 1]
Generated Node #0,0,1: 79:[78, 1] Operation: 81-80=1
Moving to Node #0,0,1
Current State: 79:[78, 1], Operations: ['85-5=80', '81-80=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
15,
47,
67,
65
] | 34 | [
"47-15=32",
"67-65=2",
"32+2=34"
] | Current State: 34:[15, 47, 67, 65], Operations: []
Exploring Operation: 47-15=32, Resulting Numbers: [67, 65, 32]
Generated Node #2: [67, 65, 32] from Operation: 47-15=32
Current State: 34:[67, 65, 32], Operations: ['47-15=32']
Exploring Operation: 67-65=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 67-65=2
Current State: 34:[32, 2], Operations: ['47-15=32', '67-65=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[15, 47, 67, 65], Operations: []
Exploring Operation: 67-47=20, Resulting Numbers: [15, 65, 20]
Generated Node #0,0: 34:[15, 65, 20] Operation: 67-47=20
Exploring Operation: 65-47=18, Resulting Numbers: [15, 67, 18]
Generated Node #0,1: 34:[15, 67, 18] Operation: 65-47=18
Exploring Operation: 67-65=2, Resulting Numbers: [15, 47, 2]
Generated Node #0,2: 34:[15, 47, 2] Operation: 67-65=2
Exploring Operation: 67-15=52, Resulting Numbers: [47, 65, 52]
Generated Node #0,3: 34:[47, 65, 52] Operation: 67-15=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[15, 47, 2], Operations: ['67-65=2']
Exploring Operation: 15+2=17, Resulting Numbers: [47, 17]
Generated Node #0,2,0: 34:[47, 17] Operation: 15+2=17
Exploring Operation: 47-2=45, Resulting Numbers: [15, 45]
Generated Node #0,2,1: 34:[15, 45] Operation: 47-2=45
Exploring Operation: 47-15=32, Resulting Numbers: [2, 32]
Generated Node #0,2,2: 34:[2, 32] Operation: 47-15=32
Exploring Operation: 15*2=30, Resulting Numbers: [47, 30]
Generated Node #0,2,3: 34:[47, 30] Operation: 15*2=30
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 34:[2, 32], Operations: ['67-65=2', '47-15=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[15, 47, 67, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [15, 47, 2]
Generated Node #0,2: 34:[15, 47, 2] Operation: 67-65=2
Moving to Node #0,2
Current State: 34:[15, 47, 2], Operations: ['67-65=2']
Exploring Operation: 47-15=32, Resulting Numbers: [2, 32]
Generated Node #0,2,2: 34:[2, 32] Operation: 47-15=32
Moving to Node #0,2,2
Current State: 34:[2, 32], Operations: ['67-65=2', '47-15=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
42,
92,
47,
8
] | 45 | [
"92-8=84",
"84/42=2",
"47-2=45"
] | Current State: 45:[42, 92, 47, 8], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [42, 47, 84]
Generated Node #2: [42, 47, 84] from Operation: 92-8=84
Current State: 45:[42, 47, 84], Operations: ['92-8=84']
Exploring Operation: 84/42=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 84/42=2
Current State: 45:[47, 2], Operations: ['92-8=84', '84/42=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[42, 92, 47, 8], Operations: []
Exploring Operation: 92-47=45, Resulting Numbers: [42, 8, 45]
Generated Node #0,0: 45:[42, 8, 45] Operation: 92-47=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[42, 8, 45], Operations: ['92-47=45']
Exploring Operation: 45-42=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 45:[8, 3] Operation: 45-42=3
Moving to Node #0,0,0
Current State: 45:[8, 3], Operations: ['92-47=45', '45-42=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
80,
18,
50,
82
] | 10 | [
"18*50=900",
"900-80=820",
"820/82=10"
] | Current State: 10:[80, 18, 50, 82], Operations: []
Exploring Operation: 18*50=900, Resulting Numbers: [80, 82, 900]
Generated Node #2: [80, 82, 900] from Operation: 18*50=900
Current State: 10:[80, 82, 900], Operations: ['18*50=900']
Exploring Operation: 900-80=820, Resulting Numbers: [82, 820]
Generated Node #3: [82, 820] from Operation: 900-80=820
Current State: 10:[82, 820], Operations: ['18*50=900', '900-80=820']
Exploring Operation: 820/82=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[80, 18, 50, 82], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [18, 50, 2]
Generated Node #0,0: 10:[18, 50, 2] Operation: 82-80=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[18, 50, 2], Operations: ['82-80=2']
Exploring Operation: 50-18=32, Resulting Numbers: [2, 32]
Generated Node #0,0,0: 10:[2, 32] Operation: 50-18=32
Moving to Node #0,0,0
Current State: 10:[2, 32], Operations: ['82-80=2', '50-18=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
19,
53,
10
] | 13 | [
"19-15=4",
"10*4=40",
"53-40=13"
] | Current State: 13:[15, 19, 53, 10], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [53, 10, 4]
Generated Node #2: [53, 10, 4] from Operation: 19-15=4
Current State: 13:[53, 10, 4], Operations: ['19-15=4']
Exploring Operation: 10*4=40, Resulting Numbers: [53, 40]
Generated Node #3: [53, 40] from Operation: 10*4=40
Current State: 13:[53, 40], Operations: ['19-15=4', '10*4=40']
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[15, 19, 53, 10], Operations: []
Exploring Operation: 53-10=43, Resulting Numbers: [15, 19, 43]
Generated Node #0,0: 13:[15, 19, 43] Operation: 53-10=43
Exploring Operation: 53-19=34, Resulting Numbers: [15, 10, 34]
Generated Node #0,1: 13:[15, 10, 34] Operation: 53-19=34
Exploring Operation: 53-15=38, Resulting Numbers: [19, 10, 38]
Generated Node #0,2: 13:[19, 10, 38] Operation: 53-15=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[15, 10, 34], Operations: ['53-19=34']
Exploring Operation: 15-10=5, Resulting Numbers: [34, 5]
Generated Node #0,1,0: 13:[34, 5] Operation: 15-10=5
Exploring Operation: 34-15=19, Resulting Numbers: [10, 19]
Generated Node #0,1,1: 13:[10, 19] Operation: 34-15=19
Exploring Operation: 34-10=24, Resulting Numbers: [15, 24]
Generated Node #0,1,2: 13:[15, 24] Operation: 34-10=24
Moving to Node #0,1,1
Current State: 13:[10, 19], Operations: ['53-19=34', '34-15=19']
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,13 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[15, 24], Operations: ['53-19=34', '34-10=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,13 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[34, 5], Operations: ['53-19=34', '15-10=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,13 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 #0,2
Current State: 13:[19, 10, 38], Operations: ['53-15=38']
Exploring Operation: 38/19=2, Resulting Numbers: [10, 2]
Generated Node #0,2,0: 13:[10, 2] Operation: 38/19=2
Exploring Operation: 38-10=28, Resulting Numbers: [19, 28]
Generated Node #0,2,1: 13:[19, 28] Operation: 38-10=28
Exploring Operation: 38-19=19, Resulting Numbers: [10, 19]
Generated Node #0,2,2: 13:[10, 19] Operation: 38-19=19
Moving to Node #0,2,2
Current State: 13:[10, 19], Operations: ['53-15=38', '38-19=19']
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,13 unequal: No Solution
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,13 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[10, 2], Operations: ['53-15=38', '38/19=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[19, 28], Operations: ['53-15=38', '38-10=28']
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,13 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[15, 19, 43], Operations: ['53-10=43']
Exploring Operation: 43-15=28, Resulting Numbers: [19, 28]
Generated Node #0,0,0: 13:[19, 28] Operation: 43-15=28
Exploring Operation: 43-19=24, Resulting Numbers: [15, 24]
Generated Node #0,0,1: 13:[15, 24] Operation: 43-19=24
Exploring Operation: 19-15=4, Resulting Numbers: [43, 4]
Generated Node #0,0,2: 13:[43, 4] Operation: 19-15=4
Moving to Node #0,0,1
Current State: 13:[15, 24], Operations: ['53-10=43', '43-19=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,13 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[19, 28], Operations: ['53-10=43', '43-15=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,13 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[43, 4], Operations: ['53-10=43', '19-15=4']
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,13 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,13 unequal: No Solution
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,13 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 |
[
54,
23,
5,
31
] | 40 | [
"54+31=85",
"85/5=17",
"23+17=40"
] | Current State: 40:[54, 23, 5, 31], Operations: []
Exploring Operation: 54+31=85, Resulting Numbers: [23, 5, 85]
Generated Node #2: [23, 5, 85] from Operation: 54+31=85
Current State: 40:[23, 5, 85], Operations: ['54+31=85']
Exploring Operation: 85/5=17, Resulting Numbers: [23, 17]
Generated Node #3: [23, 17] from Operation: 85/5=17
Current State: 40:[23, 17], Operations: ['54+31=85', '85/5=17']
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[54, 23, 5, 31], Operations: []
Exploring Operation: 54-31=23, Resulting Numbers: [23, 5, 23]
Generated Node #0,0: 40:[23, 5, 23] Operation: 54-31=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[23, 5, 23], Operations: ['54-31=23']
Exploring Operation: 23/23=1, Resulting Numbers: [5, 1]
Generated Node #0,0,0: 40:[5, 1] Operation: 23/23=1
Moving to Node #0,0,0
Current State: 40:[5, 1], Operations: ['54-31=23', '23/23=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
46,
63,
71,
40
] | 73 | [
"63-40=23",
"46/23=2",
"71+2=73"
] | Current State: 73:[46, 63, 71, 40], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [46, 71, 23]
Generated Node #2: [46, 71, 23] from Operation: 63-40=23
Current State: 73:[46, 71, 23], Operations: ['63-40=23']
Exploring Operation: 46/23=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 46/23=2
Current State: 73:[71, 2], Operations: ['63-40=23', '46/23=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[46, 63, 71, 40], Operations: []
Exploring Operation: 46+40=86, Resulting Numbers: [63, 71, 86]
Generated Node #0,0: 73:[63, 71, 86] Operation: 46+40=86
Exploring Operation: 71+40=111, Resulting Numbers: [46, 63, 111]
Generated Node #0,1: 73:[46, 63, 111] Operation: 71+40=111
Exploring Operation: 63+40=103, Resulting Numbers: [46, 71, 103]
Generated Node #0,2: 73:[46, 71, 103] Operation: 63+40=103
Exploring Operation: 46+63=109, Resulting Numbers: [71, 40, 109]
Generated Node #0,3: 73:[71, 40, 109] Operation: 46+63=109
Moving to Node #0,0
Current State: 73:[63, 71, 86], Operations: ['46+40=86']
Exploring Operation: 71-63=8, Resulting Numbers: [86, 8]
Generated Node #0,0,0: 73:[86, 8] Operation: 71-63=8
Exploring Operation: 86-71=15, Resulting Numbers: [63, 15]
Generated Node #0,0,1: 73:[63, 15] Operation: 86-71=15
Exploring Operation: 86-63=23, Resulting Numbers: [71, 23]
Generated Node #0,0,2: 73:[71, 23] Operation: 86-63=23
Exploring Operation: 63+71=134, Resulting Numbers: [86, 134]
Generated Node #0,0,3: 73:[86, 134] Operation: 63+71=134
Moving to Node #0,2
Current State: 73:[46, 71, 103], Operations: ['63+40=103']
Exploring Operation: 71-46=25, Resulting Numbers: [103, 25]
Generated Node #0,2,0: 73:[103, 25] Operation: 71-46=25
Exploring Operation: 103-46=57, Resulting Numbers: [71, 57]
Generated Node #0,2,1: 73:[71, 57] Operation: 103-46=57
Exploring Operation: 103-71=32, Resulting Numbers: [46, 32]
Generated Node #0,2,2: 73:[46, 32] Operation: 103-71=32
Exploring Operation: 46+71=117, Resulting Numbers: [103, 117]
Generated Node #0,2,3: 73:[103, 117] Operation: 46+71=117
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[71, 57], Operations: ['63+40=103', '103-46=57']
Exploring Operation: 71-57=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 71+57=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 71*57=4047, Resulting Numbers: [4047]
4047,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[46, 32], Operations: ['63+40=103', '103-71=32']
Exploring Operation: 46*32=1472, Resulting Numbers: [1472]
1472,73 unequal: No Solution
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 46+32=78, Resulting Numbers: [78]
78,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[103, 117], Operations: ['63+40=103', '46+71=117']
Exploring Operation: 103*117=12051, Resulting Numbers: [12051]
12051,73 unequal: No Solution
Exploring Operation: 103+117=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Exploring Operation: 117-103=14, Resulting Numbers: [14]
14,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[103, 25], Operations: ['63+40=103', '71-46=25']
Exploring Operation: 103+25=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 103-25=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 103*25=2575, Resulting Numbers: [2575]
2575,73 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: 73:[71, 40, 109], Operations: ['46+63=109']
Exploring Operation: 71+40=111, Resulting Numbers: [109, 111]
Generated Node #0,3,0: 73:[109, 111] Operation: 71+40=111
Exploring Operation: 109-71=38, Resulting Numbers: [40, 38]
Generated Node #0,3,1: 73:[40, 38] Operation: 109-71=38
Exploring Operation: 109-40=69, Resulting Numbers: [71, 69]
Generated Node #0,3,2: 73:[71, 69] Operation: 109-40=69
Exploring Operation: 71-40=31, Resulting Numbers: [109, 31]
Generated Node #0,3,3: 73:[109, 31] Operation: 71-40=31
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[71, 69], Operations: ['46+63=109', '109-40=69']
Exploring Operation: 71*69=4899, Resulting Numbers: [4899]
4899,73 unequal: No Solution
Exploring Operation: 71-69=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 71+69=140, Resulting Numbers: [140]
140,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[40, 38], Operations: ['46+63=109', '109-71=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 40*38=1520, Resulting Numbers: [1520]
1520,73 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[109, 111], Operations: ['46+63=109', '71+40=111']
Exploring Operation: 109*111=12099, Resulting Numbers: [12099]
12099,73 unequal: No Solution
Exploring Operation: 109+111=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Exploring Operation: 111-109=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[109, 31], Operations: ['46+63=109', '71-40=31']
Exploring Operation: 109-31=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 109*31=3379, Resulting Numbers: [3379]
3379,73 unequal: No Solution
Exploring Operation: 109+31=140, Resulting Numbers: [140]
140,73 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: 73:[46, 63, 111], Operations: ['71+40=111']
Exploring Operation: 111-63=48, Resulting Numbers: [46, 48]
Generated Node #0,1,0: 73:[46, 48] Operation: 111-63=48
Exploring Operation: 111-46=65, Resulting Numbers: [63, 65]
Generated Node #0,1,1: 73:[63, 65] Operation: 111-46=65
Exploring Operation: 46+63=109, Resulting Numbers: [111, 109]
Generated Node #0,1,2: 73:[111, 109] Operation: 46+63=109
Exploring Operation: 63-46=17, Resulting Numbers: [111, 17]
Generated Node #0,1,3: 73:[111, 17] Operation: 63-46=17
Moving to Node #0,1,1
Current State: 73:[63, 65], Operations: ['71+40=111', '111-46=65']
Exploring Operation: 63*65=4095, Resulting Numbers: [4095]
4095,73 unequal: No Solution
Exploring Operation: 65-63=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 63+65=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[46, 48], Operations: ['71+40=111', '111-63=48']
Exploring Operation: 46*48=2208, Resulting Numbers: [2208]
2208,73 unequal: No Solution
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[71, 23], Operations: ['46+40=86', '86-63=23']
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 71+23=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Exploring Operation: 71*23=1633, Resulting Numbers: [1633]
1633,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[63, 15], Operations: ['46+40=86', '86-71=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[111, 109], Operations: ['71+40=111', '46+63=109']
Exploring Operation: 111-109=2, Resulting Numbers: [2]
2,73 unequal: No Solution
Exploring Operation: 111*109=12099, Resulting Numbers: [12099]
12099,73 unequal: No Solution
Exploring Operation: 111+109=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[86, 134], Operations: ['46+40=86', '63+71=134']
Exploring Operation: 134-86=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 86+134=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Exploring Operation: 86*134=11524, Resulting Numbers: [11524]
11524,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[86, 8], Operations: ['46+40=86', '71-63=8']
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Exploring Operation: 86*8=688, Resulting Numbers: [688]
688,73 unequal: No Solution
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[111, 17], Operations: ['71+40=111', '63-46=17']
Exploring Operation: 111-17=94, Resulting Numbers: [94]
94,73 unequal: No Solution
Exploring Operation: 111+17=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 111*17=1887, Resulting Numbers: [1887]
1887,73 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
99,
74,
78,
42
] | 95 | [
"99-74=25",
"78+42=120",
"120-25=95"
] | Current State: 95:[99, 74, 78, 42], Operations: []
Exploring Operation: 99-74=25, Resulting Numbers: [78, 42, 25]
Generated Node #2: [78, 42, 25] from Operation: 99-74=25
Current State: 95:[78, 42, 25], Operations: ['99-74=25']
Exploring Operation: 78+42=120, Resulting Numbers: [25, 120]
Generated Node #3: [25, 120] from Operation: 78+42=120
Current State: 95:[25, 120], Operations: ['99-74=25', '78+42=120']
Exploring Operation: 120-25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[99, 74, 78, 42], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [99, 42, 4]
Generated Node #0,0: 95:[99, 42, 4] Operation: 78-74=4
Exploring Operation: 74-42=32, Resulting Numbers: [99, 78, 32]
Generated Node #0,1: 95:[99, 78, 32] Operation: 74-42=32
Moving to Node #0,0
Current State: 95:[99, 42, 4], Operations: ['78-74=4']
Exploring Operation: 42-4=38, Resulting Numbers: [99, 38]
Generated Node #0,0,0: 95:[99, 38] Operation: 42-4=38
Exploring Operation: 99-4=95, Resulting Numbers: [42, 95]
Generated Node #0,0,1: 95:[42, 95] Operation: 99-4=95
Moving to Node #0,1
Current State: 95:[99, 78, 32], Operations: ['74-42=32']
Exploring Operation: 78+32=110, Resulting Numbers: [99, 110]
Generated Node #0,1,0: 95:[99, 110] Operation: 78+32=110
Exploring Operation: 99-78=21, Resulting Numbers: [32, 21]
Generated Node #0,1,1: 95:[32, 21] Operation: 99-78=21
Moving to Node #0,1,1
Current State: 95:[32, 21], Operations: ['74-42=32', '99-78=21']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[99, 110], Operations: ['74-42=32', '78+32=110']
Exploring Operation: 99+110=209, Resulting Numbers: [209]
209,95 unequal: No Solution
Exploring Operation: 110-99=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[42, 95], Operations: ['78-74=4', '99-4=95']
Exploring Operation: 42+95=137, Resulting Numbers: [137]
137,95 unequal: No Solution
Exploring Operation: 95-42=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[99, 38], Operations: ['78-74=4', '42-4=38']
Exploring Operation: 99-38=61, Resulting Numbers: [61]
61,95 unequal: No Solution
Exploring Operation: 99+38=137, Resulting Numbers: [137]
137,95 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
57,
2,
27,
18
] | 33 | [
"57+27=84",
"84-18=66",
"66/2=33"
] | Current State: 33:[57, 2, 27, 18], Operations: []
Exploring Operation: 57+27=84, Resulting Numbers: [2, 18, 84]
Generated Node #2: [2, 18, 84] from Operation: 57+27=84
Current State: 33:[2, 18, 84], Operations: ['57+27=84']
Exploring Operation: 84-18=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 84-18=66
Current State: 33:[2, 66], Operations: ['57+27=84', '84-18=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[57, 2, 27, 18], Operations: []
Exploring Operation: 57-18=39, Resulting Numbers: [2, 27, 39]
Generated Node #0,0: 33:[2, 27, 39] Operation: 57-18=39
Exploring Operation: 18/2=9, Resulting Numbers: [57, 27, 9]
Generated Node #0,1: 33:[57, 27, 9] Operation: 18/2=9
Exploring Operation: 27-18=9, Resulting Numbers: [57, 2, 9]
Generated Node #0,2: 33:[57, 2, 9] Operation: 27-18=9
Exploring Operation: 57-27=30, Resulting Numbers: [2, 18, 30]
Generated Node #0,3: 33:[2, 18, 30] Operation: 57-27=30
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[2, 18, 30], Operations: ['57-27=30']
Exploring Operation: 2*18=36, Resulting Numbers: [30, 36]
Generated Node #0,3,0: 33:[30, 36] Operation: 2*18=36
Exploring Operation: 18/2=9, Resulting Numbers: [30, 9]
Generated Node #0,3,1: 33:[30, 9] Operation: 18/2=9
Exploring Operation: 30-18=12, Resulting Numbers: [2, 12]
Generated Node #0,3,2: 33:[2, 12] Operation: 30-18=12
Exploring Operation: 18-2=16, Resulting Numbers: [30, 16]
Generated Node #0,3,3: 33:[30, 16] Operation: 18-2=16
Moving to Node #0,3,2
Current State: 33:[2, 12], Operations: ['57-27=30', '30-18=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[30, 9], Operations: ['57-27=30', '18/2=9']
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[30, 36], Operations: ['57-27=30', '2*18=36']
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 30*36=1080, Resulting Numbers: [1080]
1080,33 unequal: No Solution
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[30, 16], Operations: ['57-27=30', '18-2=16']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,33 unequal: No Solution
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[2, 27, 39], Operations: ['57-18=39']
Exploring Operation: 39-27=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 33:[2, 12] Operation: 39-27=12
Exploring Operation: 27-2=25, Resulting Numbers: [39, 25]
Generated Node #0,0,1: 33:[39, 25] Operation: 27-2=25
Exploring Operation: 39-2=37, Resulting Numbers: [27, 37]
Generated Node #0,0,2: 33:[27, 37] Operation: 39-2=37
Exploring Operation: 2+27=29, Resulting Numbers: [39, 29]
Generated Node #0,0,3: 33:[39, 29] Operation: 2+27=29
Moving to Node #0,0,0
Current State: 33:[2, 12], Operations: ['57-18=39', '39-27=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,33 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[39, 29], Operations: ['57-18=39', '2+27=29']
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,33 unequal: No Solution
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 39*29=1131, Resulting Numbers: [1131]
1131,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[27, 37], Operations: ['57-18=39', '39-2=37']
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 27*37=999, Resulting Numbers: [999]
999,33 unequal: No Solution
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[39, 25], Operations: ['57-18=39', '27-2=25']
Exploring Operation: 39*25=975, Resulting Numbers: [975]
975,33 unequal: No Solution
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,33 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[57, 2, 9], Operations: ['27-18=9']
Exploring Operation: 2+9=11, Resulting Numbers: [57, 11]
Generated Node #0,2,0: 33:[57, 11] Operation: 2+9=11
Exploring Operation: 57-9=48, Resulting Numbers: [2, 48]
Generated Node #0,2,1: 33:[2, 48] Operation: 57-9=48
Exploring Operation: 57-2=55, Resulting Numbers: [9, 55]
Generated Node #0,2,2: 33:[9, 55] Operation: 57-2=55
Exploring Operation: 57+2=59, Resulting Numbers: [9, 59]
Generated Node #0,2,3: 33:[9, 59] Operation: 57+2=59
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[2, 48], Operations: ['27-18=9', '57-9=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,33 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,33 unequal: No Solution
No 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: 33:[57, 11], Operations: ['27-18=9', '2+9=11']
Exploring Operation: 57*11=627, Resulting Numbers: [627]
627,33 unequal: No Solution
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,33 unequal: No Solution
No 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: 33:[9, 55], Operations: ['27-18=9', '57-2=55']
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,33 unequal: No Solution
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 9*55=495, Resulting Numbers: [495]
495,33 unequal: No Solution
No 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: 33:[9, 59], Operations: ['27-18=9', '57+2=59']
Exploring Operation: 9*59=531, Resulting Numbers: [531]
531,33 unequal: No Solution
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,33 unequal: No Solution
Exploring Operation: 9+59=68, Resulting Numbers: [68]
68,33 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: 33:[57, 27, 9], Operations: ['18/2=9']
Exploring Operation: 57-27=30, Resulting Numbers: [9, 30]
Generated Node #0,1,0: 33:[9, 30] Operation: 57-27=30
Exploring Operation: 27/9=3, Resulting Numbers: [57, 3]
Generated Node #0,1,1: 33:[57, 3] Operation: 27/9=3
Exploring Operation: 57-9=48, Resulting Numbers: [27, 48]
Generated Node #0,1,2: 33:[27, 48] Operation: 57-9=48
Exploring Operation: 27+9=36, Resulting Numbers: [57, 36]
Generated Node #0,1,3: 33:[57, 36] Operation: 27+9=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[9, 30], Operations: ['18/2=9', '57-27=30']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,33 unequal: No Solution
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,33 unequal: No Solution
No 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: 33:[27, 48], Operations: ['18/2=9', '57-9=48']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 27+48=75, Resulting Numbers: [75]
75,33 unequal: No Solution
Exploring Operation: 27*48=1296, Resulting Numbers: [1296]
1296,33 unequal: No Solution
No 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: 33:[57, 3], Operations: ['18/2=9', '27/9=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,33 unequal: No Solution
No 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: 33:[57, 36], Operations: ['18/2=9', '27+9=36']
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,33 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,33 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 |
[
60,
56,
29,
45
] | 20 | [
"60-56=4",
"45-29=16",
"4+16=20"
] | Current State: 20:[60, 56, 29, 45], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [29, 45, 4]
Generated Node #2: [29, 45, 4] from Operation: 60-56=4
Current State: 20:[29, 45, 4], Operations: ['60-56=4']
Exploring Operation: 45-29=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 45-29=16
Current State: 20:[4, 16], Operations: ['60-56=4', '45-29=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[60, 56, 29, 45], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [56, 29, 15]
Generated Node #0,0: 20:[56, 29, 15] Operation: 60-45=15
Exploring Operation: 56-45=11, Resulting Numbers: [60, 29, 11]
Generated Node #0,1: 20:[60, 29, 11] Operation: 56-45=11
Exploring Operation: 60-56=4, Resulting Numbers: [29, 45, 4]
Generated Node #0,2: 20:[29, 45, 4] Operation: 60-56=4
Exploring Operation: 60-29=31, Resulting Numbers: [56, 45, 31]
Generated Node #0,3: 20:[56, 45, 31] Operation: 60-29=31
Moving to Node #0,2
Current State: 20:[29, 45, 4], Operations: ['60-56=4']
Exploring Operation: 29-4=25, Resulting Numbers: [45, 25]
Generated Node #0,2,0: 20:[45, 25] Operation: 29-4=25
Exploring Operation: 29+4=33, Resulting Numbers: [45, 33]
Generated Node #0,2,1: 20:[45, 33] Operation: 29+4=33
Exploring Operation: 45-4=41, Resulting Numbers: [29, 41]
Generated Node #0,2,2: 20:[29, 41] Operation: 45-4=41
Exploring Operation: 45-29=16, Resulting Numbers: [4, 16]
Generated Node #0,2,3: 20:[4, 16] Operation: 45-29=16
Moving to Node #0,1
Current State: 20:[60, 29, 11], Operations: ['56-45=11']
Exploring Operation: 60-29=31, Resulting Numbers: [11, 31]
Generated Node #0,1,0: 20:[11, 31] Operation: 60-29=31
Exploring Operation: 60-11=49, Resulting Numbers: [29, 49]
Generated Node #0,1,1: 20:[29, 49] Operation: 60-11=49
Exploring Operation: 60+11=71, Resulting Numbers: [29, 71]
Generated Node #0,1,2: 20:[29, 71] Operation: 60+11=71
Exploring Operation: 29-11=18, Resulting Numbers: [60, 18]
Generated Node #0,1,3: 20:[60, 18] Operation: 29-11=18
Moving to Node #0,0
Current State: 20:[56, 29, 15], Operations: ['60-45=15']
Exploring Operation: 56+15=71, Resulting Numbers: [29, 71]
Generated Node #0,0,0: 20:[29, 71] Operation: 56+15=71
Exploring Operation: 29-15=14, Resulting Numbers: [56, 14]
Generated Node #0,0,1: 20:[56, 14] Operation: 29-15=14
Exploring Operation: 56-15=41, Resulting Numbers: [29, 41]
Generated Node #0,0,2: 20:[29, 41] Operation: 56-15=41
Exploring Operation: 56-29=27, Resulting Numbers: [15, 27]
Generated Node #0,0,3: 20:[15, 27] Operation: 56-29=27
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 20:[15, 27], Operations: ['60-45=15', '56-29=27']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 15*27=405, Resulting Numbers: [405]
405,20 unequal: No Solution
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[29, 41], Operations: ['60-45=15', '56-15=41']
Exploring Operation: 29*41=1189, Resulting Numbers: [1189]
1189,20 unequal: No Solution
Exploring Operation: 41-29=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 29+41=70, Resulting Numbers: [70]
70,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[56, 14], Operations: ['60-45=15', '29-15=14']
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,20 unequal: No Solution
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 56*14=784, Resulting Numbers: [784]
784,20 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[29, 71], Operations: ['60-45=15', '56+15=71']
Exploring Operation: 29+71=100, Resulting Numbers: [100]
100,20 unequal: No Solution
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,20 unequal: No Solution
Exploring Operation: 29*71=2059, Resulting Numbers: [2059]
2059,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 20:[56, 45, 31], Operations: ['60-29=31']
Exploring Operation: 56-31=25, Resulting Numbers: [45, 25]
Generated Node #0,3,0: 20:[45, 25] Operation: 56-31=25
Exploring Operation: 56-45=11, Resulting Numbers: [31, 11]
Generated Node #0,3,1: 20:[31, 11] Operation: 56-45=11
Exploring Operation: 45-31=14, Resulting Numbers: [56, 14]
Generated Node #0,3,2: 20:[56, 14] Operation: 45-31=14
Exploring Operation: 56+45=101, Resulting Numbers: [31, 101]
Generated Node #0,3,3: 20:[31, 101] Operation: 56+45=101
Moving to Node #0,2,3
Current State: 20:[4, 16], Operations: ['60-56=4', '45-29=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[60, 56, 29, 45], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [29, 45, 4]
Generated Node #0,2: 20:[29, 45, 4] Operation: 60-56=4
Moving to Node #0,2
Current State: 20:[29, 45, 4], Operations: ['60-56=4']
Exploring Operation: 45-29=16, Resulting Numbers: [4, 16]
Generated Node #0,2,3: 20:[4, 16] Operation: 45-29=16
Moving to Node #0,2,3
Current State: 20:[4, 16], Operations: ['60-56=4', '45-29=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.965278 | hs_4 | sum_heuristic |
[
49,
17,
91,
66
] | 91 | [
"49+17=66",
"91+66=157",
"157-66=91"
] | Current State: 91:[49, 17, 91, 66], Operations: []
Exploring Operation: 49+17=66, Resulting Numbers: [91, 66, 66]
Generated Node #2: [91, 66, 66] from Operation: 49+17=66
Current State: 91:[91, 66, 66], Operations: ['49+17=66']
Exploring Operation: 91+66=157, Resulting Numbers: [157]
157,91 equal: Goal Reached
Exploring Operation: 157-66=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[49, 17, 91, 66], Operations: []
Exploring Operation: 17+66=83, Resulting Numbers: [49, 91, 83]
Generated Node #0,0: 91:[49, 91, 83] Operation: 17+66=83
Exploring Operation: 49+66=115, Resulting Numbers: [17, 91, 115]
Generated Node #0,1: 91:[17, 91, 115] Operation: 49+66=115
Exploring Operation: 49+17=66, Resulting Numbers: [91, 66, 66]
Generated Node #0,2: 91:[91, 66, 66] Operation: 49+17=66
Exploring Operation: 49-17=32, Resulting Numbers: [91, 66, 32]
Generated Node #0,3: 91:[91, 66, 32] Operation: 49-17=32
Exploring Operation: 66-49=17, Resulting Numbers: [17, 91, 17]
Generated Node #0,4: 91:[17, 91, 17] Operation: 66-49=17
Start Sub Search at level 1: Moving to Node #0,4
Current State: 91:[17, 91, 17], Operations: ['66-49=17']
Exploring Operation: 17+91=108, Resulting Numbers: [17, 108]
Generated Node #0,4,0: 91:[17, 108] Operation: 17+91=108
Exploring Operation: 17+17=34, Resulting Numbers: [91, 34]
Generated Node #0,4,1: 91:[91, 34] Operation: 17+17=34
Exploring Operation: 17/17=1, Resulting Numbers: [91, 1]
Generated Node #0,4,2: 91:[91, 1] Operation: 17/17=1
Exploring Operation: 17-17=0, Resulting Numbers: [91, 0]
Generated Node #0,4,3: 91:[91, 0] Operation: 17-17=0
Exploring Operation: 91-17=74, Resulting Numbers: [17, 74]
Generated Node #0,4,4: 91:[17, 74] Operation: 91-17=74
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 91:[91, 1], Operations: ['66-49=17', '17/17=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,91 unequal: No Solution
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[49, 17, 91, 66], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [17, 91, 17]
Generated Node #0,4: 91:[17, 91, 17] Operation: 66-49=17
Moving to Node #0,4
Current State: 91:[17, 91, 17], Operations: ['66-49=17']
Exploring Operation: 17/17=1, Resulting Numbers: [91, 1]
Generated Node #0,4,2: 91:[91, 1] Operation: 17/17=1
Moving to Node #0,4,2
Current State: 91:[91, 1], Operations: ['66-49=17', '17/17=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
5,
32,
4,
38
] | 62 | [
"5*38=190",
"32*4=128",
"190-128=62"
] | Current State: 62:[5, 32, 4, 38], Operations: []
Exploring Operation: 5*38=190, Resulting Numbers: [32, 4, 190]
Generated Node #2: [32, 4, 190] from Operation: 5*38=190
Current State: 62:[32, 4, 190], Operations: ['5*38=190']
Exploring Operation: 32*4=128, Resulting Numbers: [190, 128]
Generated Node #3: [190, 128] from Operation: 32*4=128
Current State: 62:[190, 128], Operations: ['5*38=190', '32*4=128']
Exploring Operation: 190-128=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[5, 32, 4, 38], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [5, 4, 6]
Generated Node #0,0: 62:[5, 4, 6] Operation: 38-32=6
Exploring Operation: 38-5=33, Resulting Numbers: [32, 4, 33]
Generated Node #0,1: 62:[32, 4, 33] Operation: 38-5=33
Exploring Operation: 5-4=1, Resulting Numbers: [32, 38, 1]
Generated Node #0,2: 62:[32, 38, 1] Operation: 5-4=1
Exploring Operation: 38-4=34, Resulting Numbers: [5, 32, 34]
Generated Node #0,3: 62:[5, 32, 34] Operation: 38-4=34
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[32, 4, 33], Operations: ['38-5=33']
Exploring Operation: 32+33=65, Resulting Numbers: [4, 65]
Generated Node #0,1,0: 62:[4, 65] Operation: 32+33=65
Exploring Operation: 33-32=1, Resulting Numbers: [4, 1]
Generated Node #0,1,1: 62:[4, 1] Operation: 33-32=1
Exploring Operation: 33-4=29, Resulting Numbers: [32, 29]
Generated Node #0,1,2: 62:[32, 29] Operation: 33-4=29
Exploring Operation: 32-4=28, Resulting Numbers: [33, 28]
Generated Node #0,1,3: 62:[33, 28] Operation: 32-4=28
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[4, 1], Operations: ['38-5=33', '33-32=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,62 unequal: No Solution
No 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: 62:[32, 29], Operations: ['38-5=33', '33-4=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,62 unequal: No Solution
No 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: 62:[4, 65], Operations: ['38-5=33', '32+33=65']
Exploring Operation: 4+65=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 4*65=260, Resulting Numbers: [260]
260,62 unequal: No Solution
No 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: 62:[33, 28], Operations: ['38-5=33', '32-4=28']
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,62 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[5, 32, 34], Operations: ['38-4=34']
Exploring Operation: 32+34=66, Resulting Numbers: [5, 66]
Generated Node #0,3,0: 62:[5, 66] Operation: 32+34=66
Exploring Operation: 32-5=27, Resulting Numbers: [34, 27]
Generated Node #0,3,1: 62:[34, 27] Operation: 32-5=27
Exploring Operation: 34-32=2, Resulting Numbers: [5, 2]
Generated Node #0,3,2: 62:[5, 2] Operation: 34-32=2
Exploring Operation: 34-5=29, Resulting Numbers: [32, 29]
Generated Node #0,3,3: 62:[32, 29] Operation: 34-5=29
Moving to Node #0,3,2
Current State: 62:[5, 2], Operations: ['38-4=34', '34-32=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,62 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[32, 29], Operations: ['38-4=34', '34-5=29']
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,62 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[34, 27], Operations: ['38-4=34', '32-5=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,62 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Moving to Node #0,3,0
Current State: 62:[5, 66], Operations: ['38-4=34', '32+34=66']
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,62 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,62 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
Current State: 62:[5, 4, 6], Operations: ['38-32=6']
Exploring Operation: 6-4=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 62:[5, 2] Operation: 6-4=2
Exploring Operation: 5-4=1, Resulting Numbers: [6, 1]
Generated Node #0,0,1: 62:[6, 1] Operation: 5-4=1
Exploring Operation: 5*6=30, Resulting Numbers: [4, 30]
Generated Node #0,0,2: 62:[4, 30] Operation: 5*6=30
Exploring Operation: 6-5=1, Resulting Numbers: [4, 1]
Generated Node #0,0,3: 62:[4, 1] Operation: 6-5=1
Moving to Node #0,0,0
Current State: 62:[5, 2], Operations: ['38-32=6', '6-4=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,62 unequal: No Solution
Moving to Node #0,0,3
Current State: 62:[4, 1], Operations: ['38-32=6', '6-5=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[4, 30], Operations: ['38-32=6', '5*6=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,62 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[6, 1], Operations: ['38-32=6', '5-4=1']
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,62 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 #0,2
Current State: 62:[32, 38, 1], Operations: ['5-4=1']
Exploring Operation: 38-1=37, Resulting Numbers: [32, 37]
Generated Node #0,2,0: 62:[32, 37] Operation: 38-1=37
Exploring Operation: 32*1=32, Resulting Numbers: [38, 32]
Generated Node #0,2,1: 62:[38, 32] Operation: 32*1=32
Exploring Operation: 32-1=31, Resulting Numbers: [38, 31]
Generated Node #0,2,2: 62:[38, 31] Operation: 32-1=31
Exploring Operation: 38-32=6, Resulting Numbers: [1, 6]
Generated Node #0,2,3: 62:[1, 6] Operation: 38-32=6
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 62:[1, 6], Operations: ['5-4=1', '38-32=6']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 1+6=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,62 unequal: No Solution
No 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: 62:[32, 37], Operations: ['5-4=1', '38-1=37']
Exploring Operation: 32*37=1184, Resulting Numbers: [1184]
1184,62 unequal: No Solution
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,62 unequal: No Solution
No 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: 62:[38, 31], Operations: ['5-4=1', '32-1=31']
Exploring Operation: 38*31=1178, Resulting Numbers: [1178]
1178,62 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,62 unequal: No Solution
No 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: 62:[38, 32], Operations: ['5-4=1', '32*1=32']
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,62 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
88,
54,
89,
91
] | 98 | [
"91-89=2",
"88/2=44",
"54+44=98"
] | Current State: 98:[88, 54, 89, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [88, 54, 2]
Generated Node #2: [88, 54, 2] from Operation: 91-89=2
Current State: 98:[88, 54, 2], Operations: ['91-89=2']
Exploring Operation: 88/2=44, Resulting Numbers: [54, 44]
Generated Node #3: [54, 44] from Operation: 88/2=44
Current State: 98:[54, 44], Operations: ['91-89=2', '88/2=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[88, 54, 89, 91], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [54, 91, 1]
Generated Node #0,0: 98:[54, 91, 1] Operation: 89-88=1
Exploring Operation: 91-88=3, Resulting Numbers: [54, 89, 3]
Generated Node #0,1: 98:[54, 89, 3] Operation: 91-88=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[54, 91, 1], Operations: ['89-88=1']
Exploring Operation: 91+1=92, Resulting Numbers: [54, 92]
Generated Node #0,0,0: 98:[54, 92] Operation: 91+1=92
Exploring Operation: 54-1=53, Resulting Numbers: [91, 53]
Generated Node #0,0,1: 98:[91, 53] Operation: 54-1=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[54, 92], Operations: ['89-88=1', '91+1=92']
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[91, 53], Operations: ['89-88=1', '54-1=53']
Exploring Operation: 91+53=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Exploring Operation: 91-53=38, Resulting Numbers: [38]
38,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[54, 89, 3], Operations: ['91-88=3']
Exploring Operation: 54-3=51, Resulting Numbers: [89, 51]
Generated Node #0,1,0: 98:[89, 51] Operation: 54-3=51
Exploring Operation: 89+3=92, Resulting Numbers: [54, 92]
Generated Node #0,1,1: 98:[54, 92] Operation: 89+3=92
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 98:[89, 51], Operations: ['91-88=3', '54-3=51']
Exploring Operation: 89+51=140, Resulting Numbers: [140]
140,98 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 98:[54, 92], Operations: ['91-88=3', '89+3=92']
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,98 unequal: No Solution
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
34,
4,
10
] | 100 | [
"34+10=44",
"44/4=11",
"89+11=100"
] | Current State: 100:[89, 34, 4, 10], Operations: []
Exploring Operation: 34+10=44, Resulting Numbers: [89, 4, 44]
Generated Node #2: [89, 4, 44] from Operation: 34+10=44
Current State: 100:[89, 4, 44], Operations: ['34+10=44']
Exploring Operation: 44/4=11, Resulting Numbers: [89, 11]
Generated Node #3: [89, 11] from Operation: 44/4=11
Current State: 100:[89, 11], Operations: ['34+10=44', '44/4=11']
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[89, 34, 4, 10], Operations: []
Exploring Operation: 89+10=99, Resulting Numbers: [34, 4, 99]
Generated Node #0,0: 100:[34, 4, 99] Operation: 89+10=99
Exploring Operation: 89-34=55, Resulting Numbers: [4, 10, 55]
Generated Node #0,1: 100:[4, 10, 55] Operation: 89-34=55
Moving to Node #0,1
Current State: 100:[4, 10, 55], Operations: ['89-34=55']
Exploring Operation: 55-10=45, Resulting Numbers: [4, 45]
Generated Node #0,1,0: 100:[4, 45] Operation: 55-10=45
Exploring Operation: 55-4=51, Resulting Numbers: [10, 51]
Generated Node #0,1,1: 100:[10, 51] Operation: 55-4=51
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[10, 51], Operations: ['89-34=55', '55-4=51']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 10+51=61, Resulting Numbers: [61]
61,100 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 #0,1,0
Current State: 100:[4, 45], Operations: ['89-34=55', '55-10=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,100 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: 100:[34, 4, 99], Operations: ['89+10=99']
Exploring Operation: 4+99=103, Resulting Numbers: [34, 103]
Generated Node #0,0,0: 100:[34, 103] Operation: 4+99=103
Exploring Operation: 34-4=30, Resulting Numbers: [99, 30]
Generated Node #0,0,1: 100:[99, 30] Operation: 34-4=30
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[99, 30], Operations: ['89+10=99', '34-4=30']
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 99+30=129, Resulting Numbers: [129]
129,100 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 #0,0,0
Current State: 100:[34, 103], Operations: ['89+10=99', '4+99=103']
Exploring Operation: 103-34=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 34+103=137, Resulting Numbers: [137]
137,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
93,
81,
9,
15
] | 11 | [
"93+81=174",
"174-9=165",
"165/15=11"
] | Current State: 11:[93, 81, 9, 15], Operations: []
Exploring Operation: 93+81=174, Resulting Numbers: [9, 15, 174]
Generated Node #2: [9, 15, 174] from Operation: 93+81=174
Current State: 11:[9, 15, 174], Operations: ['93+81=174']
Exploring Operation: 174-9=165, Resulting Numbers: [15, 165]
Generated Node #3: [15, 165] from Operation: 174-9=165
Current State: 11:[15, 165], Operations: ['93+81=174', '174-9=165']
Exploring Operation: 165/15=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[93, 81, 9, 15], Operations: []
Exploring Operation: 93-81=12, Resulting Numbers: [9, 15, 12]
Generated Node #0,0: 11:[9, 15, 12] Operation: 93-81=12
Exploring Operation: 81/9=9, Resulting Numbers: [93, 15, 9]
Generated Node #0,1: 11:[93, 15, 9] Operation: 81/9=9
Exploring Operation: 81-15=66, Resulting Numbers: [93, 9, 66]
Generated Node #0,2: 11:[93, 9, 66] Operation: 81-15=66
Exploring Operation: 93-15=78, Resulting Numbers: [81, 9, 78]
Generated Node #0,3: 11:[81, 9, 78] Operation: 93-15=78
Moving to Node #0,0
Current State: 11:[9, 15, 12], Operations: ['93-81=12']
Exploring Operation: 9+15=24, Resulting Numbers: [12, 24]
Generated Node #0,0,0: 11:[12, 24] Operation: 9+15=24
Exploring Operation: 15-9=6, Resulting Numbers: [12, 6]
Generated Node #0,0,1: 11:[12, 6] Operation: 15-9=6
Exploring Operation: 12-9=3, Resulting Numbers: [15, 3]
Generated Node #0,0,2: 11:[15, 3] Operation: 12-9=3
Exploring Operation: 15-12=3, Resulting Numbers: [9, 3]
Generated Node #0,0,3: 11:[9, 3] Operation: 15-12=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[12, 6], Operations: ['93-81=12', '15-9=6']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[9, 3], Operations: ['93-81=12', '15-12=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[15, 3], Operations: ['93-81=12', '12-9=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[12, 24], Operations: ['93-81=12', '9+15=24']
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 12*24=288, Resulting Numbers: [288]
288,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 11:[93, 15, 9], Operations: ['81/9=9']
Exploring Operation: 93-9=84, Resulting Numbers: [15, 84]
Generated Node #0,1,0: 11:[15, 84] Operation: 93-9=84
Exploring Operation: 93-15=78, Resulting Numbers: [9, 78]
Generated Node #0,1,1: 11:[9, 78] Operation: 93-15=78
Exploring Operation: 93+9=102, Resulting Numbers: [15, 102]
Generated Node #0,1,2: 11:[15, 102] Operation: 93+9=102
Exploring Operation: 15-9=6, Resulting Numbers: [93, 6]
Generated Node #0,1,3: 11:[93, 6] Operation: 15-9=6
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[9, 78], Operations: ['81/9=9', '93-15=78']
Exploring Operation: 9+78=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 9*78=702, Resulting Numbers: [702]
702,11 unequal: No Solution
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[15, 84], Operations: ['81/9=9', '93-9=84']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,11 unequal: No Solution
Exploring Operation: 15*84=1260, Resulting Numbers: [1260]
1260,11 unequal: No Solution
Exploring Operation: 15+84=99, Resulting Numbers: [99]
99,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[93, 6], Operations: ['81/9=9', '15-9=6']
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,11 unequal: No Solution
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[15, 102], Operations: ['81/9=9', '93+9=102']
Exploring Operation: 15*102=1530, Resulting Numbers: [1530]
1530,11 unequal: No Solution
Exploring Operation: 15+102=117, Resulting Numbers: [117]
117,11 unequal: No Solution
Exploring Operation: 102-15=87, Resulting Numbers: [87]
87,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 11:[81, 9, 78], Operations: ['93-15=78']
Exploring Operation: 81/9=9, Resulting Numbers: [78, 9]
Generated Node #0,3,0: 11:[78, 9] Operation: 81/9=9
Exploring Operation: 81-78=3, Resulting Numbers: [9, 3]
Generated Node #0,3,1: 11:[9, 3] Operation: 81-78=3
Exploring Operation: 78-9=69, Resulting Numbers: [81, 69]
Generated Node #0,3,2: 11:[81, 69] Operation: 78-9=69
Exploring Operation: 81-9=72, Resulting Numbers: [78, 72]
Generated Node #0,3,3: 11:[78, 72] Operation: 81-9=72
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[9, 3], Operations: ['93-15=78', '81-78=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[78, 9], Operations: ['93-15=78', '81/9=9']
Exploring Operation: 78*9=702, Resulting Numbers: [702]
702,11 unequal: No Solution
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[81, 69], Operations: ['93-15=78', '78-9=69']
Exploring Operation: 81-69=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 81+69=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Exploring Operation: 81*69=5589, Resulting Numbers: [5589]
5589,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[78, 72], Operations: ['93-15=78', '81-9=72']
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 78+72=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Exploring Operation: 78*72=5616, Resulting Numbers: [5616]
5616,11 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: 11:[93, 9, 66], Operations: ['81-15=66']
Exploring Operation: 93-66=27, Resulting Numbers: [9, 27]
Generated Node #0,2,0: 11:[9, 27] Operation: 93-66=27
Exploring Operation: 93-9=84, Resulting Numbers: [66, 84]
Generated Node #0,2,1: 11:[66, 84] Operation: 93-9=84
Exploring Operation: 93+9=102, Resulting Numbers: [66, 102]
Generated Node #0,2,2: 11:[66, 102] Operation: 93+9=102
Exploring Operation: 66-9=57, Resulting Numbers: [93, 57]
Generated Node #0,2,3: 11:[93, 57] Operation: 66-9=57
Moving to Node #0,2,0
Current State: 11:[9, 27], Operations: ['81-15=66', '93-66=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,11 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[93, 57], Operations: ['81-15=66', '66-9=57']
Exploring Operation: 93-57=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 93*57=5301, Resulting Numbers: [5301]
5301,11 unequal: No Solution
Exploring Operation: 93+57=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[66, 84], Operations: ['81-15=66', '93-9=84']
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 66*84=5544, Resulting Numbers: [5544]
5544,11 unequal: No Solution
Exploring Operation: 66+84=150, Resulting Numbers: [150]
150,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[66, 102], Operations: ['81-15=66', '93+9=102']
Exploring Operation: 66+102=168, Resulting Numbers: [168]
168,11 unequal: No Solution
Exploring Operation: 102-66=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 66*102=6732, Resulting Numbers: [6732]
6732,11 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
22,
54,
34,
6
] | 11 | [
"54-22=32",
"34+32=66",
"66/6=11"
] | Current State: 11:[22, 54, 34, 6], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [34, 6, 32]
Generated Node #2: [34, 6, 32] from Operation: 54-22=32
Current State: 11:[34, 6, 32], Operations: ['54-22=32']
Exploring Operation: 34+32=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 34+32=66
Current State: 11:[6, 66], Operations: ['54-22=32', '34+32=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[22, 54, 34, 6], Operations: []
Exploring Operation: 54-34=20, Resulting Numbers: [22, 6, 20]
Generated Node #0,0: 11:[22, 6, 20] Operation: 54-34=20
Exploring Operation: 54/6=9, Resulting Numbers: [22, 34, 9]
Generated Node #0,1: 11:[22, 34, 9] Operation: 54/6=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[22, 6, 20], Operations: ['54-34=20']
Exploring Operation: 22-6=16, Resulting Numbers: [20, 16]
Generated Node #0,0,0: 11:[20, 16] Operation: 22-6=16
Exploring Operation: 22-20=2, Resulting Numbers: [6, 2]
Generated Node #0,0,1: 11:[6, 2] Operation: 22-20=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[20, 16], Operations: ['54-34=20', '22-6=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,11 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:[6, 2], Operations: ['54-34=20', '22-20=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,11 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:[22, 34, 9], Operations: ['54/6=9']
Exploring Operation: 34-22=12, Resulting Numbers: [9, 12]
Generated Node #0,1,0: 11:[9, 12] Operation: 34-22=12
Exploring Operation: 22-9=13, Resulting Numbers: [34, 13]
Generated Node #0,1,1: 11:[34, 13] Operation: 22-9=13
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[9, 12], Operations: ['54/6=9', '34-22=12']
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,11 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:[34, 13], Operations: ['54/6=9', '22-9=13']
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,11 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
83,
82,
63,
89
] | 92 | [
"89-82=7",
"63/7=9",
"83+9=92"
] | Current State: 92:[83, 82, 63, 89], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [83, 63, 7]
Generated Node #2: [83, 63, 7] from Operation: 89-82=7
Current State: 92:[83, 63, 7], Operations: ['89-82=7']
Exploring Operation: 63/7=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 63/7=9
Current State: 92:[83, 9], Operations: ['89-82=7', '63/7=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[83, 82, 63, 89], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [82, 89, 20]
Generated Node #0,0: 92:[82, 89, 20] Operation: 83-63=20
Exploring Operation: 82-63=19, Resulting Numbers: [83, 89, 19]
Generated Node #0,1: 92:[83, 89, 19] Operation: 82-63=19
Exploring Operation: 83-82=1, Resulting Numbers: [63, 89, 1]
Generated Node #0,2: 92:[63, 89, 1] Operation: 83-82=1
Exploring Operation: 89-63=26, Resulting Numbers: [83, 82, 26]
Generated Node #0,3: 92:[83, 82, 26] Operation: 89-63=26
Exploring Operation: 89-83=6, Resulting Numbers: [82, 63, 6]
Generated Node #0,4: 92:[82, 63, 6] Operation: 89-83=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[82, 89, 20], Operations: ['83-63=20']
Exploring Operation: 82+20=102, Resulting Numbers: [89, 102]
Generated Node #0,0,0: 92:[89, 102] Operation: 82+20=102
Exploring Operation: 89-20=69, Resulting Numbers: [82, 69]
Generated Node #0,0,1: 92:[82, 69] Operation: 89-20=69
Exploring Operation: 89+20=109, Resulting Numbers: [82, 109]
Generated Node #0,0,2: 92:[82, 109] Operation: 89+20=109
Exploring Operation: 89-82=7, Resulting Numbers: [20, 7]
Generated Node #0,0,3: 92:[20, 7] Operation: 89-82=7
Exploring Operation: 82-20=62, Resulting Numbers: [89, 62]
Generated Node #0,0,4: 92:[89, 62] Operation: 82-20=62
Moving to Node #0,0,3
Current State: 92:[20, 7], Operations: ['83-63=20', '89-82=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[89, 102], Operations: ['83-63=20', '82+20=102']
Exploring Operation: 102-89=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 89*102=9078, Resulting Numbers: [9078]
9078,92 unequal: No Solution
Exploring Operation: 89+102=191, Resulting Numbers: [191]
191,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[89, 62], Operations: ['83-63=20', '82-20=62']
Exploring Operation: 89+62=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 89*62=5518, Resulting Numbers: [5518]
5518,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[82, 109], Operations: ['83-63=20', '89+20=109']
Exploring Operation: 109-82=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 82+109=191, Resulting Numbers: [191]
191,92 unequal: No Solution
Exploring Operation: 82*109=8938, Resulting Numbers: [8938]
8938,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[82, 69], Operations: ['83-63=20', '89-20=69']
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,92 unequal: No Solution
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,92 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
Current State: 92:[83, 89, 19], Operations: ['82-63=19']
Exploring Operation: 83-19=64, Resulting Numbers: [89, 64]
Generated Node #0,1,0: 92:[89, 64] Operation: 83-19=64
Exploring Operation: 83+19=102, Resulting Numbers: [89, 102]
Generated Node #0,1,1: 92:[89, 102] Operation: 83+19=102
Exploring Operation: 89-83=6, Resulting Numbers: [19, 6]
Generated Node #0,1,2: 92:[19, 6] Operation: 89-83=6
Exploring Operation: 89+19=108, Resulting Numbers: [83, 108]
Generated Node #0,1,3: 92:[83, 108] Operation: 89+19=108
Exploring Operation: 89-19=70, Resulting Numbers: [83, 70]
Generated Node #0,1,4: 92:[83, 70] Operation: 89-19=70
Moving to Node #0,1,2
Current State: 92:[19, 6], Operations: ['82-63=19', '89-83=6']
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,92 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[89, 102], Operations: ['82-63=19', '83+19=102']
Exploring Operation: 89*102=9078, Resulting Numbers: [9078]
9078,92 unequal: No Solution
Exploring Operation: 89+102=191, Resulting Numbers: [191]
191,92 unequal: No Solution
Exploring Operation: 102-89=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[89, 64], Operations: ['82-63=19', '83-19=64']
Exploring Operation: 89+64=153, Resulting Numbers: [153]
153,92 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 89*64=5696, Resulting Numbers: [5696]
5696,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[83, 108], Operations: ['82-63=19', '89+19=108']
Exploring Operation: 108-83=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 83+108=191, Resulting Numbers: [191]
191,92 unequal: No Solution
Exploring Operation: 83*108=8964, Resulting Numbers: [8964]
8964,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[83, 70], Operations: ['82-63=19', '89-19=70']
Exploring Operation: 83+70=153, Resulting Numbers: [153]
153,92 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 83*70=5810, Resulting Numbers: [5810]
5810,92 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 #0,2
Current State: 92:[63, 89, 1], Operations: ['83-82=1']
Exploring Operation: 63/1=63, Resulting Numbers: [89, 63]
Generated Node #0,2,0: 92:[89, 63] Operation: 63/1=63
Exploring Operation: 89+1=90, Resulting Numbers: [63, 90]
Generated Node #0,2,1: 92:[63, 90] Operation: 89+1=90
Exploring Operation: 63-1=62, Resulting Numbers: [89, 62]
Generated Node #0,2,2: 92:[89, 62] Operation: 63-1=62
Exploring Operation: 89-63=26, Resulting Numbers: [1, 26]
Generated Node #0,2,3: 92:[1, 26] Operation: 89-63=26
Exploring Operation: 63*1=63, Resulting Numbers: [89, 63]
Generated Node #0,2,4: 92:[89, 63] Operation: 63*1=63
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[1, 26], Operations: ['83-82=1', '89-63=26']
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[63, 90], Operations: ['83-82=1', '89+1=90']
Exploring Operation: 63*90=5670, Resulting Numbers: [5670]
5670,92 unequal: No Solution
Exploring Operation: 63+90=153, Resulting Numbers: [153]
153,92 unequal: No Solution
Exploring Operation: 90-63=27, Resulting Numbers: [27]
27,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[89, 62], Operations: ['83-82=1', '63-1=62']
Exploring Operation: 89*62=5518, Resulting Numbers: [5518]
5518,92 unequal: No Solution
Exploring Operation: 89+62=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[89, 63], Operations: ['83-82=1', '63/1=63']
Exploring Operation: 89*63=5607, Resulting Numbers: [5607]
5607,92 unequal: No Solution
Exploring Operation: 89-63=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 89+63=152, Resulting Numbers: [152]
152,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[89, 63], Operations: ['83-82=1', '63*1=63']
Exploring Operation: 89-63=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 89*63=5607, Resulting Numbers: [5607]
5607,92 unequal: No Solution
Exploring Operation: 89+63=152, Resulting Numbers: [152]
152,92 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: 92:[83, 82, 26], Operations: ['89-63=26']
Exploring Operation: 82-26=56, Resulting Numbers: [83, 56]
Generated Node #0,3,0: 92:[83, 56] Operation: 82-26=56
Exploring Operation: 83-82=1, Resulting Numbers: [26, 1]
Generated Node #0,3,1: 92:[26, 1] Operation: 83-82=1
Exploring Operation: 82+26=108, Resulting Numbers: [83, 108]
Generated Node #0,3,2: 92:[83, 108] Operation: 82+26=108
Exploring Operation: 83-26=57, Resulting Numbers: [82, 57]
Generated Node #0,3,3: 92:[82, 57] Operation: 83-26=57
Exploring Operation: 83+26=109, Resulting Numbers: [82, 109]
Generated Node #0,3,4: 92:[82, 109] Operation: 83+26=109
Moving to Node #0,3,1
Current State: 92:[26, 1], Operations: ['89-63=26', '83-82=1']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[83, 56], Operations: ['89-63=26', '82-26=56']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 83*56=4648, Resulting Numbers: [4648]
4648,92 unequal: No Solution
Exploring Operation: 83+56=139, Resulting Numbers: [139]
139,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[82, 57], Operations: ['89-63=26', '83-26=57']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 82*57=4674, Resulting Numbers: [4674]
4674,92 unequal: No Solution
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[83, 108], Operations: ['89-63=26', '82+26=108']
Exploring Operation: 83*108=8964, Resulting Numbers: [8964]
8964,92 unequal: No Solution
Exploring Operation: 83+108=191, Resulting Numbers: [191]
191,92 unequal: No Solution
Exploring Operation: 108-83=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[82, 109], Operations: ['89-63=26', '83+26=109']
Exploring Operation: 109-82=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 82*109=8938, Resulting Numbers: [8938]
8938,92 unequal: No Solution
Exploring Operation: 82+109=191, Resulting Numbers: [191]
191,92 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 #0,4
Current State: 92:[82, 63, 6], Operations: ['89-83=6']
Exploring Operation: 82-63=19, Resulting Numbers: [6, 19]
Generated Node #0,4,0: 92:[6, 19] Operation: 82-63=19
Exploring Operation: 63-6=57, Resulting Numbers: [82, 57]
Generated Node #0,4,1: 92:[82, 57] Operation: 63-6=57
Exploring Operation: 63+6=69, Resulting Numbers: [82, 69]
Generated Node #0,4,2: 92:[82, 69] Operation: 63+6=69
Exploring Operation: 82-6=76, Resulting Numbers: [63, 76]
Generated Node #0,4,3: 92:[63, 76] Operation: 82-6=76
Exploring Operation: 82+6=88, Resulting Numbers: [63, 88]
Generated Node #0,4,4: 92:[63, 88] Operation: 82+6=88
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 92:[6, 19], Operations: ['89-83=6', '82-63=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 92:[82, 57], Operations: ['89-83=6', '63-6=57']
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,92 unequal: No Solution
Exploring Operation: 82*57=4674, Resulting Numbers: [4674]
4674,92 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 92:[63, 88], Operations: ['89-83=6', '82+6=88']
Exploring Operation: 63+88=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 63*88=5544, Resulting Numbers: [5544]
5544,92 unequal: No Solution
Exploring Operation: 88-63=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 92:[82, 69], Operations: ['89-83=6', '63+6=69']
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,92 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 92:[63, 76], Operations: ['89-83=6', '82-6=76']
Exploring Operation: 63*76=4788, Resulting Numbers: [4788]
4788,92 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 63+76=139, Resulting Numbers: [139]
139,92 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 |
[
92,
3,
16,
32
] | 92 | [
"32/16=2",
"3-2=1",
"92*1=92"
] | Current State: 92:[92, 3, 16, 32], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [92, 3, 2]
Generated Node #2: [92, 3, 2] from Operation: 32/16=2
Current State: 92:[92, 3, 2], Operations: ['32/16=2']
Exploring Operation: 3-2=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 3-2=1
Current State: 92:[92, 1], Operations: ['32/16=2', '3-2=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[92, 3, 16, 32], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [92, 3, 16]
Generated Node #0,0: 92:[92, 3, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [92, 3, 2]
Generated Node #0,1: 92:[92, 3, 2] Operation: 32/16=2
Exploring Operation: 16+32=48, Resulting Numbers: [92, 3, 48]
Generated Node #0,2: 92:[92, 3, 48] Operation: 16+32=48
Moving to Node #0,1
Current State: 92:[92, 3, 2], Operations: ['32/16=2']
Exploring Operation: 3-2=1, Resulting Numbers: [92, 1]
Generated Node #0,1,0: 92:[92, 1] Operation: 3-2=1
Exploring Operation: 3+2=5, Resulting Numbers: [92, 5]
Generated Node #0,1,1: 92:[92, 5] Operation: 3+2=5
Exploring Operation: 92/2=46, Resulting Numbers: [3, 46]
Generated Node #0,1,2: 92:[3, 46] Operation: 92/2=46
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[92, 1], Operations: ['32/16=2', '3-2=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,92 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[92, 3, 16, 32], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [92, 3, 2]
Generated Node #0,1: 92:[92, 3, 2] Operation: 32/16=2
Moving to Node #0,1
Current State: 92:[92, 3, 2], Operations: ['32/16=2']
Exploring Operation: 3-2=1, Resulting Numbers: [92, 1]
Generated Node #0,1,0: 92:[92, 1] Operation: 3-2=1
Moving to Node #0,1,0
Current State: 92:[92, 1], Operations: ['32/16=2', '3-2=1']
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
20,
82,
18,
7
] | 34 | [
"20-18=2",
"82/2=41",
"41-7=34"
] | Current State: 34:[20, 82, 18, 7], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [82, 7, 2]
Generated Node #2: [82, 7, 2] from Operation: 20-18=2
Current State: 34:[82, 7, 2], Operations: ['20-18=2']
Exploring Operation: 82/2=41, Resulting Numbers: [7, 41]
Generated Node #3: [7, 41] from Operation: 82/2=41
Current State: 34:[7, 41], Operations: ['20-18=2', '82/2=41']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[20, 82, 18, 7], Operations: []
Exploring Operation: 82-18=64, Resulting Numbers: [20, 7, 64]
Generated Node #0,0: 34:[20, 7, 64] Operation: 82-18=64
Exploring Operation: 82-20=62, Resulting Numbers: [18, 7, 62]
Generated Node #0,1: 34:[18, 7, 62] Operation: 82-20=62
Exploring Operation: 82-7=75, Resulting Numbers: [20, 18, 75]
Generated Node #0,2: 34:[20, 18, 75] Operation: 82-7=75
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[18, 7, 62], Operations: ['82-20=62']
Exploring Operation: 62-7=55, Resulting Numbers: [18, 55]
Generated Node #0,1,0: 34:[18, 55] Operation: 62-7=55
Exploring Operation: 62-18=44, Resulting Numbers: [7, 44]
Generated Node #0,1,1: 34:[7, 44] Operation: 62-18=44
Exploring Operation: 18-7=11, Resulting Numbers: [62, 11]
Generated Node #0,1,2: 34:[62, 11] Operation: 18-7=11
Moving to Node #0,1,1
Current State: 34:[7, 44], Operations: ['82-20=62', '62-18=44']
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,34 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[18, 55], Operations: ['82-20=62', '62-7=55']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,34 unequal: No Solution
Exploring Operation: 18*55=990, Resulting Numbers: [990]
990,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[62, 11], Operations: ['82-20=62', '18-7=11']
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,34 unequal: No Solution
Exploring Operation: 62*11=682, Resulting Numbers: [682]
682,34 unequal: No Solution
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,34 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 #0,0
Current State: 34:[20, 7, 64], Operations: ['82-18=64']
Exploring Operation: 64-7=57, Resulting Numbers: [20, 57]
Generated Node #0,0,0: 34:[20, 57] Operation: 64-7=57
Exploring Operation: 20-7=13, Resulting Numbers: [64, 13]
Generated Node #0,0,1: 34:[64, 13] Operation: 20-7=13
Exploring Operation: 64-20=44, Resulting Numbers: [7, 44]
Generated Node #0,0,2: 34:[7, 44] Operation: 64-20=44
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 34:[7, 44], Operations: ['82-18=64', '64-20=44']
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,34 unequal: No Solution
No 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: 34:[20, 57], Operations: ['82-18=64', '64-7=57']
Exploring Operation: 20*57=1140, Resulting Numbers: [1140]
1140,34 unequal: No Solution
Exploring Operation: 20+57=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No 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: 34:[64, 13], Operations: ['82-18=64', '20-7=13']
Exploring Operation: 64*13=832, Resulting Numbers: [832]
832,34 unequal: No Solution
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,34 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: 34:[20, 18, 75], Operations: ['82-7=75']
Exploring Operation: 20-18=2, Resulting Numbers: [75, 2]
Generated Node #0,2,0: 34:[75, 2] Operation: 20-18=2
Exploring Operation: 75-18=57, Resulting Numbers: [20, 57]
Generated Node #0,2,1: 34:[20, 57] Operation: 75-18=57
Exploring Operation: 75-20=55, Resulting Numbers: [18, 55]
Generated Node #0,2,2: 34:[18, 55] Operation: 75-20=55
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 34:[18, 55], Operations: ['82-7=75', '75-20=55']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,34 unequal: No Solution
Exploring Operation: 18*55=990, Resulting Numbers: [990]
990,34 unequal: No Solution
No 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: 34:[20, 57], Operations: ['82-7=75', '75-18=57']
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 20+57=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 20*57=1140, Resulting Numbers: [1140]
1140,34 unequal: No Solution
No 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: 34:[75, 2], Operations: ['82-7=75', '20-18=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,34 unequal: No Solution
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 75*2=150, Resulting Numbers: [150]
150,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
62,
8,
98,
72
] | 100 | [
"62+8=70",
"98+72=170",
"170-70=100"
] | Current State: 100:[62, 8, 98, 72], Operations: []
Exploring Operation: 62+8=70, Resulting Numbers: [98, 72, 70]
Generated Node #2: [98, 72, 70] from Operation: 62+8=70
Current State: 100:[98, 72, 70], Operations: ['62+8=70']
Exploring Operation: 98+72=170, Resulting Numbers: [70, 170]
Generated Node #3: [70, 170] from Operation: 98+72=170
Current State: 100:[70, 170], Operations: ['62+8=70', '98+72=170']
Exploring Operation: 170-70=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[62, 8, 98, 72], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [62, 98, 9]
Generated Node #0,0: 100:[62, 98, 9] Operation: 72/8=9
Exploring Operation: 72-62=10, Resulting Numbers: [8, 98, 10]
Generated Node #0,1: 100:[8, 98, 10] Operation: 72-62=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[8, 98, 10], Operations: ['72-62=10']
Exploring Operation: 8+10=18, Resulting Numbers: [98, 18]
Generated Node #0,1,0: 100:[98, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [98, 2]
Generated Node #0,1,1: 100:[98, 2] Operation: 10-8=2
Moving to Node #0,1,1
Current State: 100:[98, 2], Operations: ['72-62=10', '10-8=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[62, 8, 98, 72], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [8, 98, 10]
Generated Node #0,1: 100:[8, 98, 10] Operation: 72-62=10
Moving to Node #0,1
Current State: 100:[8, 98, 10], Operations: ['72-62=10']
Exploring Operation: 10-8=2, Resulting Numbers: [98, 2]
Generated Node #0,1,1: 100:[98, 2] Operation: 10-8=2
Moving to Node #0,1,1
Current State: 100:[98, 2], Operations: ['72-62=10', '10-8=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
35,
27,
47,
60
] | 22 | [
"47-35=12",
"60/12=5",
"27-5=22"
] | Current State: 22:[35, 27, 47, 60], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [27, 60, 12]
Generated Node #2: [27, 60, 12] from Operation: 47-35=12
Current State: 22:[27, 60, 12], Operations: ['47-35=12']
Exploring Operation: 60/12=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 60/12=5
Current State: 22:[27, 5], Operations: ['47-35=12', '60/12=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[35, 27, 47, 60], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [27, 60, 12]
Generated Node #0,0: 22:[27, 60, 12] Operation: 47-35=12
Exploring Operation: 60-35=25, Resulting Numbers: [27, 47, 25]
Generated Node #0,1: 22:[27, 47, 25] Operation: 60-35=25
Exploring Operation: 60-27=33, Resulting Numbers: [35, 47, 33]
Generated Node #0,2: 22:[35, 47, 33] Operation: 60-27=33
Exploring Operation: 60-47=13, Resulting Numbers: [35, 27, 13]
Generated Node #0,3: 22:[35, 27, 13] Operation: 60-47=13
Exploring Operation: 47-27=20, Resulting Numbers: [35, 60, 20]
Generated Node #0,4: 22:[35, 60, 20] Operation: 47-27=20
Moving to Node #0,3
Current State: 22:[35, 27, 13], Operations: ['60-47=13']
Exploring Operation: 27+13=40, Resulting Numbers: [35, 40]
Generated Node #0,3,0: 22:[35, 40] Operation: 27+13=40
Exploring Operation: 27-13=14, Resulting Numbers: [35, 14]
Generated Node #0,3,1: 22:[35, 14] Operation: 27-13=14
Exploring Operation: 35-27=8, Resulting Numbers: [13, 8]
Generated Node #0,3,2: 22:[13, 8] Operation: 35-27=8
Exploring Operation: 35+13=48, Resulting Numbers: [27, 48]
Generated Node #0,3,3: 22:[27, 48] Operation: 35+13=48
Exploring Operation: 35-13=22, Resulting Numbers: [27, 22]
Generated Node #0,3,4: 22:[27, 22] Operation: 35-13=22
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 22:[13, 8], Operations: ['60-47=13', '35-27=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,22 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,22 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 #0,3,4
Current State: 22:[27, 22], Operations: ['60-47=13', '35-13=22']
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,22 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 #0,3,1
Current State: 22:[35, 14], Operations: ['60-47=13', '27-13=14']
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,22 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,22 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 #0,3,0
Current State: 22:[35, 40], Operations: ['60-47=13', '27+13=40']
Exploring Operation: 40-35=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 35+40=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 35*40=1400, Resulting Numbers: [1400]
1400,22 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 #0,3,3
Current State: 22:[27, 48], Operations: ['60-47=13', '35+13=48']
Exploring Operation: 27*48=1296, Resulting Numbers: [1296]
1296,22 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 27+48=75, Resulting Numbers: [75]
75,22 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: 22:[27, 47, 25], Operations: ['60-35=25']
Exploring Operation: 27+47=74, Resulting Numbers: [25, 74]
Generated Node #0,1,0: 22:[25, 74] Operation: 27+47=74
Exploring Operation: 47-27=20, Resulting Numbers: [25, 20]
Generated Node #0,1,1: 22:[25, 20] Operation: 47-27=20
Exploring Operation: 27+25=52, Resulting Numbers: [47, 52]
Generated Node #0,1,2: 22:[47, 52] Operation: 27+25=52
Exploring Operation: 27-25=2, Resulting Numbers: [47, 2]
Generated Node #0,1,3: 22:[47, 2] Operation: 27-25=2
Exploring Operation: 47-25=22, Resulting Numbers: [27, 22]
Generated Node #0,1,4: 22:[27, 22] Operation: 47-25=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[25, 20], Operations: ['60-35=25', '47-27=20']
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,22 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,22 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 #0,1,4
Current State: 22:[27, 22], Operations: ['60-35=25', '47-25=22']
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,22 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 #0,1,3
Current State: 22:[47, 2], Operations: ['60-35=25', '27-25=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,22 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,22 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 #0,1,0
Current State: 22:[25, 74], Operations: ['60-35=25', '27+47=74']
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,22 unequal: No Solution
Exploring Operation: 25*74=1850, Resulting Numbers: [1850]
1850,22 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 #0,1,2
Current State: 22:[47, 52], Operations: ['60-35=25', '27+25=52']
Exploring Operation: 52-47=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 47*52=2444, Resulting Numbers: [2444]
2444,22 unequal: No Solution
Exploring Operation: 47+52=99, Resulting Numbers: [99]
99,22 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: 22:[27, 60, 12], Operations: ['47-35=12']
Exploring Operation: 60/12=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 22:[27, 5] Operation: 60/12=5
Exploring Operation: 27-12=15, Resulting Numbers: [60, 15]
Generated Node #0,0,1: 22:[60, 15] Operation: 27-12=15
Exploring Operation: 27+12=39, Resulting Numbers: [60, 39]
Generated Node #0,0,2: 22:[60, 39] Operation: 27+12=39
Exploring Operation: 60-12=48, Resulting Numbers: [27, 48]
Generated Node #0,0,3: 22:[27, 48] Operation: 60-12=48
Exploring Operation: 60-27=33, Resulting Numbers: [12, 33]
Generated Node #0,0,4: 22:[12, 33] Operation: 60-27=33
Moving to Node #0,2
Current State: 22:[35, 47, 33], Operations: ['60-27=33']
Exploring Operation: 35+33=68, Resulting Numbers: [47, 68]
Generated Node #0,2,0: 22:[47, 68] Operation: 35+33=68
Exploring Operation: 47-33=14, Resulting Numbers: [35, 14]
Generated Node #0,2,1: 22:[35, 14] Operation: 47-33=14
Exploring Operation: 47-35=12, Resulting Numbers: [33, 12]
Generated Node #0,2,2: 22:[33, 12] Operation: 47-35=12
Exploring Operation: 35-33=2, Resulting Numbers: [47, 2]
Generated Node #0,2,3: 22:[47, 2] Operation: 35-33=2
Exploring Operation: 35+47=82, Resulting Numbers: [33, 82]
Generated Node #0,2,4: 22:[33, 82] Operation: 35+47=82
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[33, 12], Operations: ['60-27=33', '47-35=12']
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,22 unequal: No Solution
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,22 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 #0,2,1
Current State: 22:[35, 14], Operations: ['60-27=33', '47-33=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,22 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,22 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 #0,2,3
Current State: 22:[47, 2], Operations: ['60-27=33', '35-33=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,22 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,22 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 #0,2,0
Current State: 22:[47, 68], Operations: ['60-27=33', '35+33=68']
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 47+68=115, Resulting Numbers: [115]
115,22 unequal: No Solution
Exploring Operation: 47*68=3196, Resulting Numbers: [3196]
3196,22 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 #0,2,4
Current State: 22:[33, 82], Operations: ['60-27=33', '35+47=82']
Exploring Operation: 33+82=115, Resulting Numbers: [115]
115,22 unequal: No Solution
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 33*82=2706, Resulting Numbers: [2706]
2706,22 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: 22:[35, 60, 20], Operations: ['47-27=20']
Exploring Operation: 60-35=25, Resulting Numbers: [20, 25]
Generated Node #0,4,0: 22:[20, 25] Operation: 60-35=25
Exploring Operation: 60-20=40, Resulting Numbers: [35, 40]
Generated Node #0,4,1: 22:[35, 40] Operation: 60-20=40
Exploring Operation: 35+20=55, Resulting Numbers: [60, 55]
Generated Node #0,4,2: 22:[60, 55] Operation: 35+20=55
Exploring Operation: 35-20=15, Resulting Numbers: [60, 15]
Generated Node #0,4,3: 22:[60, 15] Operation: 35-20=15
Exploring Operation: 60/20=3, Resulting Numbers: [35, 3]
Generated Node #0,4,4: 22:[35, 3] Operation: 60/20=3
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 22:[20, 25], Operations: ['47-27=20', '60-35=25']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,22 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,22 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 #0,4,4
Current State: 22:[35, 3], Operations: ['47-27=20', '60/20=3']
Exploring Operation: 35*3=105, Resulting Numbers: [105]
105,22 unequal: No Solution
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,22 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 #0,4,1
Current State: 22:[35, 40], Operations: ['47-27=20', '60-20=40']
Exploring Operation: 35+40=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 35*40=1400, Resulting Numbers: [1400]
1400,22 unequal: No Solution
Exploring Operation: 40-35=5, Resulting Numbers: [5]
5,22 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 #0,4,3
Current State: 22:[60, 15], Operations: ['47-27=20', '35-20=15']
Exploring Operation: 60*15=900, Resulting Numbers: [900]
900,22 unequal: No Solution
Exploring Operation: 60+15=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,22 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 #0,4,2
Current State: 22:[60, 55], Operations: ['47-27=20', '35+20=55']
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,22 unequal: No Solution
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,22 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,22 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: 22:[27, 5], Operations: ['47-35=12', '60/12=5']
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,22 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[35, 27, 47, 60], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [27, 60, 12]
Generated Node #0,0: 22:[27, 60, 12] Operation: 47-35=12
Moving to Node #0,0
Current State: 22:[27, 60, 12], Operations: ['47-35=12']
Exploring Operation: 60/12=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 22:[27, 5] Operation: 60/12=5
Moving to Node #0,0,0
Current State: 22:[27, 5], Operations: ['47-35=12', '60/12=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.915799 | hs_5 | mult_heuristic |
[
19,
88,
44,
6
] | 23 | [
"19+6=25",
"88/44=2",
"25-2=23"
] | Current State: 23:[19, 88, 44, 6], Operations: []
Exploring Operation: 19+6=25, Resulting Numbers: [88, 44, 25]
Generated Node #2: [88, 44, 25] from Operation: 19+6=25
Current State: 23:[88, 44, 25], Operations: ['19+6=25']
Exploring Operation: 88/44=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 88/44=2
Current State: 23:[25, 2], Operations: ['19+6=25', '88/44=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[19, 88, 44, 6], Operations: []
Exploring Operation: 44-19=25, Resulting Numbers: [88, 6, 25]
Generated Node #0,0: 23:[88, 6, 25] Operation: 44-19=25
Exploring Operation: 88-19=69, Resulting Numbers: [44, 6, 69]
Generated Node #0,1: 23:[44, 6, 69] Operation: 88-19=69
Exploring Operation: 88/44=2, Resulting Numbers: [19, 6, 2]
Generated Node #0,2: 23:[19, 6, 2] Operation: 88/44=2
Exploring Operation: 88-44=44, Resulting Numbers: [19, 6, 44]
Generated Node #0,3: 23:[19, 6, 44] Operation: 88-44=44
Exploring Operation: 88-6=82, Resulting Numbers: [19, 44, 82]
Generated Node #0,4: 23:[19, 44, 82] Operation: 88-6=82
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[19, 6, 2], Operations: ['88/44=2']
Exploring Operation: 19-2=17, Resulting Numbers: [6, 17]
Generated Node #0,2,0: 23:[6, 17] Operation: 19-2=17
Exploring Operation: 6*2=12, Resulting Numbers: [19, 12]
Generated Node #0,2,1: 23:[19, 12] Operation: 6*2=12
Exploring Operation: 6+2=8, Resulting Numbers: [19, 8]
Generated Node #0,2,2: 23:[19, 8] Operation: 6+2=8
Exploring Operation: 19+6=25, Resulting Numbers: [2, 25]
Generated Node #0,2,3: 23:[2, 25] Operation: 19+6=25
Exploring Operation: 19+2=21, Resulting Numbers: [6, 21]
Generated Node #0,2,4: 23:[6, 21] Operation: 19+2=21
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 23:[19, 12], Operations: ['88/44=2', '6*2=12']
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,23 unequal: No Solution
No 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: 23:[19, 8], Operations: ['88/44=2', '6+2=8']
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,23 unequal: No Solution
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,23 unequal: No Solution
No 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: 23:[6, 21], Operations: ['88/44=2', '19+2=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,23 unequal: No Solution
No 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: 23:[6, 17], Operations: ['88/44=2', '19-2=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,23 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[19, 88, 44, 6], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [19, 6, 2]
Generated Node #0,2: 23:[19, 6, 2] Operation: 88/44=2
Moving to Node #0,2
Current State: 23:[19, 6, 2], Operations: ['88/44=2']
Exploring Operation: 19-2=17, Resulting Numbers: [6, 17]
Generated Node #0,2,0: 23:[6, 17] Operation: 19-2=17
Moving to Node #0,2,0
Current State: 23:[6, 17], Operations: ['88/44=2', '19-2=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
87,
34,
88,
44
] | 51 | [
"87-34=53",
"88/44=2",
"53-2=51"
] | Current State: 51:[87, 34, 88, 44], Operations: []
Exploring Operation: 87-34=53, Resulting Numbers: [88, 44, 53]
Generated Node #2: [88, 44, 53] from Operation: 87-34=53
Current State: 51:[88, 44, 53], Operations: ['87-34=53']
Exploring Operation: 88/44=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 88/44=2
Current State: 51:[53, 2], Operations: ['87-34=53', '88/44=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[87, 34, 88, 44], Operations: []
Exploring Operation: 88-34=54, Resulting Numbers: [87, 44, 54]
Generated Node #0,0: 51:[87, 44, 54] Operation: 88-34=54
Exploring Operation: 88-87=1, Resulting Numbers: [34, 44, 1]
Generated Node #0,1: 51:[34, 44, 1] Operation: 88-87=1
Exploring Operation: 87-34=53, Resulting Numbers: [88, 44, 53]
Generated Node #0,2: 51:[88, 44, 53] Operation: 87-34=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[34, 44, 1], Operations: ['88-87=1']
Exploring Operation: 44-34=10, Resulting Numbers: [1, 10]
Generated Node #0,1,0: 51:[1, 10] Operation: 44-34=10
Exploring Operation: 34-1=33, Resulting Numbers: [44, 33]
Generated Node #0,1,1: 51:[44, 33] Operation: 34-1=33
Exploring Operation: 34+1=35, Resulting Numbers: [44, 35]
Generated Node #0,1,2: 51:[44, 35] Operation: 34+1=35
Moving to Node #0,1,0
Current State: 51:[1, 10], Operations: ['88-87=1', '44-34=10']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[44, 33], Operations: ['88-87=1', '34-1=33']
Exploring Operation: 44*33=1452, Resulting Numbers: [1452]
1452,51 unequal: No Solution
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,51 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[44, 35], Operations: ['88-87=1', '34+1=35']
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,51 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[87, 44, 54], Operations: ['88-34=54']
Exploring Operation: 87-44=43, Resulting Numbers: [54, 43]
Generated Node #0,0,0: 51:[54, 43] Operation: 87-44=43
Exploring Operation: 87-54=33, Resulting Numbers: [44, 33]
Generated Node #0,0,1: 51:[44, 33] Operation: 87-54=33
Exploring Operation: 54-44=10, Resulting Numbers: [87, 10]
Generated Node #0,0,2: 51:[87, 10] Operation: 54-44=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[54, 43], Operations: ['88-34=54', '87-44=43']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 54+43=97, Resulting Numbers: [97]
97,51 unequal: No Solution
Exploring Operation: 54*43=2322, Resulting Numbers: [2322]
2322,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[44, 33], Operations: ['88-34=54', '87-54=33']
Exploring Operation: 44*33=1452, Resulting Numbers: [1452]
1452,51 unequal: No Solution
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,51 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[87, 10], Operations: ['88-34=54', '54-44=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,51 unequal: No Solution
Exploring Operation: 87*10=870, Resulting Numbers: [870]
870,51 unequal: No Solution
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[88, 44, 53], Operations: ['87-34=53']
Exploring Operation: 88-53=35, Resulting Numbers: [44, 35]
Generated Node #0,2,0: 51:[44, 35] Operation: 88-53=35
Exploring Operation: 88/44=2, Resulting Numbers: [53, 2]
Generated Node #0,2,1: 51:[53, 2] Operation: 88/44=2
Exploring Operation: 88-44=44, Resulting Numbers: [53, 44]
Generated Node #0,2,2: 51:[53, 44] Operation: 88-44=44
Moving to Node #0,2,1
Current State: 51:[53, 2], Operations: ['87-34=53', '88/44=2']
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,51 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[87, 34, 88, 44], Operations: []
Exploring Operation: 87-34=53, Resulting Numbers: [88, 44, 53]
Generated Node #0,2: 51:[88, 44, 53] Operation: 87-34=53
Moving to Node #0,2
Current State: 51:[88, 44, 53], Operations: ['87-34=53']
Exploring Operation: 88/44=2, Resulting Numbers: [53, 2]
Generated Node #0,2,1: 51:[53, 2] Operation: 88/44=2
Moving to Node #0,2,1
Current State: 51:[53, 2], Operations: ['87-34=53', '88/44=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
10,
4,
37,
82
] | 79 | [
"10*4=40",
"37+82=119",
"119-40=79"
] | Current State: 79:[10, 4, 37, 82], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [37, 82, 40]
Generated Node #2: [37, 82, 40] from Operation: 10*4=40
Current State: 79:[37, 82, 40], Operations: ['10*4=40']
Exploring Operation: 37+82=119, Resulting Numbers: [40, 119]
Generated Node #3: [40, 119] from Operation: 37+82=119
Current State: 79:[40, 119], Operations: ['10*4=40', '37+82=119']
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[10, 4, 37, 82], Operations: []
Exploring Operation: 10+37=47, Resulting Numbers: [4, 82, 47]
Generated Node #0,0: 79:[4, 82, 47] Operation: 10+37=47
Exploring Operation: 10*4=40, Resulting Numbers: [37, 82, 40]
Generated Node #0,1: 79:[37, 82, 40] Operation: 10*4=40
Exploring Operation: 4+37=41, Resulting Numbers: [10, 82, 41]
Generated Node #0,2: 79:[10, 82, 41] Operation: 4+37=41
Exploring Operation: 10+4=14, Resulting Numbers: [37, 82, 14]
Generated Node #0,3: 79:[37, 82, 14] Operation: 10+4=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[37, 82, 40], Operations: ['10*4=40']
Exploring Operation: 37+40=77, Resulting Numbers: [82, 77]
Generated Node #0,1,0: 79:[82, 77] Operation: 37+40=77
Exploring Operation: 37+82=119, Resulting Numbers: [40, 119]
Generated Node #0,1,1: 79:[40, 119] Operation: 37+82=119
Exploring Operation: 40-37=3, Resulting Numbers: [82, 3]
Generated Node #0,1,2: 79:[82, 3] Operation: 40-37=3
Exploring Operation: 82-37=45, Resulting Numbers: [40, 45]
Generated Node #0,1,3: 79:[40, 45] Operation: 82-37=45
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[82, 77], Operations: ['10*4=40', '37+40=77']
Exploring Operation: 82-77=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 82+77=159, Resulting Numbers: [159]
159,79 unequal: No Solution
Exploring Operation: 82*77=6314, Resulting Numbers: [6314]
6314,79 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:[40, 45], Operations: ['10*4=40', '82-37=45']
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 40+45=85, Resulting Numbers: [85]
85,79 unequal: No Solution
Exploring Operation: 40*45=1800, Resulting Numbers: [1800]
1800,79 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 #0,1,1
Current State: 79:[40, 119], Operations: ['10*4=40', '37+82=119']
Exploring Operation: 40+119=159, Resulting Numbers: [159]
159,79 unequal: No Solution
Exploring Operation: 40*119=4760, Resulting Numbers: [4760]
4760,79 unequal: No Solution
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[10, 4, 37, 82], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [37, 82, 40]
Generated Node #0,1: 79:[37, 82, 40] Operation: 10*4=40
Moving to Node #0,1
Current State: 79:[37, 82, 40], Operations: ['10*4=40']
Exploring Operation: 37+82=119, Resulting Numbers: [40, 119]
Generated Node #0,1,1: 79:[40, 119] Operation: 37+82=119
Moving to Node #0,1,1
Current State: 79:[40, 119], Operations: ['10*4=40', '37+82=119']
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
90,
2,
76,
59
] | 71 | [
"90-2=88",
"76-59=17",
"88-17=71"
] | Current State: 71:[90, 2, 76, 59], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [76, 59, 88]
Generated Node #2: [76, 59, 88] from Operation: 90-2=88
Current State: 71:[76, 59, 88], Operations: ['90-2=88']
Exploring Operation: 76-59=17, Resulting Numbers: [88, 17]
Generated Node #3: [88, 17] from Operation: 76-59=17
Current State: 71:[88, 17], Operations: ['90-2=88', '76-59=17']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[90, 2, 76, 59], Operations: []
Exploring Operation: 2+59=61, Resulting Numbers: [90, 76, 61]
Generated Node #0,0: 71:[90, 76, 61] Operation: 2+59=61
Exploring Operation: 90+2=92, Resulting Numbers: [76, 59, 92]
Generated Node #0,1: 71:[76, 59, 92] Operation: 90+2=92
Exploring Operation: 76-2=74, Resulting Numbers: [90, 59, 74]
Generated Node #0,2: 71:[90, 59, 74] Operation: 76-2=74
Exploring Operation: 90-2=88, Resulting Numbers: [76, 59, 88]
Generated Node #0,3: 71:[76, 59, 88] Operation: 90-2=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[90, 76, 61], Operations: ['2+59=61']
Exploring Operation: 90-76=14, Resulting Numbers: [61, 14]
Generated Node #0,0,0: 71:[61, 14] Operation: 90-76=14
Exploring Operation: 90-61=29, Resulting Numbers: [76, 29]
Generated Node #0,0,1: 71:[76, 29] Operation: 90-61=29
Exploring Operation: 90+61=151, Resulting Numbers: [76, 151]
Generated Node #0,0,2: 71:[76, 151] Operation: 90+61=151
Exploring Operation: 76-61=15, Resulting Numbers: [90, 15]
Generated Node #0,0,3: 71:[90, 15] Operation: 76-61=15
Moving to Node #0,0,1
Current State: 71:[76, 29], Operations: ['2+59=61', '90-61=29']
Exploring Operation: 76+29=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 76*29=2204, Resulting Numbers: [2204]
2204,71 unequal: No Solution
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[61, 14], Operations: ['2+59=61', '90-76=14']
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 61*14=854, Resulting Numbers: [854]
854,71 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[90, 15], Operations: ['2+59=61', '76-61=15']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,71 unequal: No Solution
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[76, 151], Operations: ['2+59=61', '90+61=151']
Exploring Operation: 76*151=11476, Resulting Numbers: [11476]
11476,71 unequal: No Solution
Exploring Operation: 151-76=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 76+151=227, Resulting Numbers: [227]
227,71 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
Current State: 71:[90, 59, 74], Operations: ['76-2=74']
Exploring Operation: 90-59=31, Resulting Numbers: [74, 31]
Generated Node #0,2,0: 71:[74, 31] Operation: 90-59=31
Exploring Operation: 90+59=149, Resulting Numbers: [74, 149]
Generated Node #0,2,1: 71:[74, 149] Operation: 90+59=149
Exploring Operation: 90-74=16, Resulting Numbers: [59, 16]
Generated Node #0,2,2: 71:[59, 16] Operation: 90-74=16
Exploring Operation: 74-59=15, Resulting Numbers: [90, 15]
Generated Node #0,2,3: 71:[90, 15] Operation: 74-59=15
Moving to Node #0,2,0
Current State: 71:[74, 31], Operations: ['76-2=74', '90-59=31']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,71 unequal: No Solution
Exploring Operation: 74+31=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 74*31=2294, Resulting Numbers: [2294]
2294,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[59, 16], Operations: ['76-2=74', '90-74=16']
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,71 unequal: No Solution
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[90, 15], Operations: ['76-2=74', '74-59=15']
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,71 unequal: No Solution
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,71 unequal: No Solution
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[74, 149], Operations: ['76-2=74', '90+59=149']
Exploring Operation: 149-74=75, Resulting Numbers: [75]
75,71 unequal: No Solution
Exploring Operation: 74+149=223, Resulting Numbers: [223]
223,71 unequal: No Solution
Exploring Operation: 74*149=11026, Resulting Numbers: [11026]
11026,71 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
Current State: 71:[76, 59, 88], Operations: ['90-2=88']
Exploring Operation: 76-59=17, Resulting Numbers: [88, 17]
Generated Node #0,3,0: 71:[88, 17] Operation: 76-59=17
Exploring Operation: 88-59=29, Resulting Numbers: [76, 29]
Generated Node #0,3,1: 71:[76, 29] Operation: 88-59=29
Exploring Operation: 88-76=12, Resulting Numbers: [59, 12]
Generated Node #0,3,2: 71:[59, 12] Operation: 88-76=12
Exploring Operation: 76+59=135, Resulting Numbers: [88, 135]
Generated Node #0,3,3: 71:[88, 135] Operation: 76+59=135
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 71:[76, 29], Operations: ['90-2=88', '88-59=29']
Exploring Operation: 76*29=2204, Resulting Numbers: [2204]
2204,71 unequal: No Solution
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,71 unequal: No Solution
Exploring Operation: 76+29=105, Resulting Numbers: [105]
105,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 71:[88, 17], Operations: ['90-2=88', '76-59=17']
Exploring Operation: 88+17=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 88*17=1496, Resulting Numbers: [1496]
1496,71 unequal: No Solution
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[90, 2, 76, 59], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [76, 59, 88]
Generated Node #0,3: 71:[76, 59, 88] Operation: 90-2=88
Moving to Node #0,3
Current State: 71:[76, 59, 88], Operations: ['90-2=88']
Exploring Operation: 76-59=17, Resulting Numbers: [88, 17]
Generated Node #0,3,0: 71:[88, 17] Operation: 76-59=17
Moving to Node #0,3,0
Current State: 71:[88, 17], Operations: ['90-2=88', '76-59=17']
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.954861 | hs_4 | mult_heuristic |
[
34,
4,
13,
82
] | 100 | [
"82-34=48",
"4*13=52",
"48+52=100"
] | Current State: 100:[34, 4, 13, 82], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [4, 13, 48]
Generated Node #2: [4, 13, 48] from Operation: 82-34=48
Current State: 100:[4, 13, 48], Operations: ['82-34=48']
Exploring Operation: 4*13=52, Resulting Numbers: [48, 52]
Generated Node #3: [48, 52] from Operation: 4*13=52
Current State: 100:[48, 52], Operations: ['82-34=48', '4*13=52']
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[34, 4, 13, 82], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [4, 82, 21]
Generated Node #0,0: 100:[4, 82, 21] Operation: 34-13=21
Exploring Operation: 34+82=116, Resulting Numbers: [4, 13, 116]
Generated Node #0,1: 100:[4, 13, 116] Operation: 34+82=116
Exploring Operation: 13+82=95, Resulting Numbers: [34, 4, 95]
Generated Node #0,2: 100:[34, 4, 95] Operation: 13+82=95
Exploring Operation: 82-34=48, Resulting Numbers: [4, 13, 48]
Generated Node #0,3: 100:[4, 13, 48] Operation: 82-34=48
Moving to Node #0,3
Current State: 100:[4, 13, 48], Operations: ['82-34=48']
Exploring Operation: 13-4=9, Resulting Numbers: [48, 9]
Generated Node #0,3,0: 100:[48, 9] Operation: 13-4=9
Exploring Operation: 4+48=52, Resulting Numbers: [13, 52]
Generated Node #0,3,1: 100:[13, 52] Operation: 4+48=52
Exploring Operation: 4*13=52, Resulting Numbers: [48, 52]
Generated Node #0,3,2: 100:[48, 52] Operation: 4*13=52
Exploring Operation: 4+13=17, Resulting Numbers: [48, 17]
Generated Node #0,3,3: 100:[48, 17] Operation: 4+13=17
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 100:[48, 9], Operations: ['82-34=48', '13-4=9']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,100 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,100 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,100 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 #0,3,2
Current State: 100:[48, 52], Operations: ['82-34=48', '4*13=52']
Exploring Operation: 48*52=2496, Resulting Numbers: [2496]
2496,100 unequal: No Solution
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[34, 4, 13, 82], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [4, 13, 48]
Generated Node #0,3: 100:[4, 13, 48] Operation: 82-34=48
Moving to Node #0,3
Current State: 100:[4, 13, 48], Operations: ['82-34=48']
Exploring Operation: 4*13=52, Resulting Numbers: [48, 52]
Generated Node #0,3,2: 100:[48, 52] Operation: 4*13=52
Moving to Node #0,3,2
Current State: 100:[48, 52], Operations: ['82-34=48', '4*13=52']
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
88,
90,
14,
6
] | 88 | [
"90/6=15",
"15-14=1",
"88*1=88"
] | Current State: 88:[88, 90, 14, 6], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [88, 14, 15]
Generated Node #2: [88, 14, 15] from Operation: 90/6=15
Current State: 88:[88, 14, 15], Operations: ['90/6=15']
Exploring Operation: 15-14=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 15-14=1
Current State: 88:[88, 1], Operations: ['90/6=15', '15-14=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[88, 90, 14, 6], Operations: []
Exploring Operation: 14+6=20, Resulting Numbers: [88, 90, 20]
Generated Node #0,0: 88:[88, 90, 20] Operation: 14+6=20
Exploring Operation: 90-88=2, Resulting Numbers: [14, 6, 2]
Generated Node #0,1: 88:[14, 6, 2] Operation: 90-88=2
Exploring Operation: 14-6=8, Resulting Numbers: [88, 90, 8]
Generated Node #0,2: 88:[88, 90, 8] Operation: 14-6=8
Moving to Node #0,2
Current State: 88:[88, 90, 8], Operations: ['14-6=8']
Exploring Operation: 90-88=2, Resulting Numbers: [8, 2]
Generated Node #0,2,0: 88:[8, 2] Operation: 90-88=2
Exploring Operation: 88/8=11, Resulting Numbers: [90, 11]
Generated Node #0,2,1: 88:[90, 11] Operation: 88/8=11
Exploring Operation: 90-8=82, Resulting Numbers: [88, 82]
Generated Node #0,2,2: 88:[88, 82] Operation: 90-8=82
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[8, 2], Operations: ['14-6=8', '90-88=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,88 unequal: No Solution
No 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: 88:[90, 11], Operations: ['14-6=8', '88/8=11']
Exploring Operation: 90*11=990, Resulting Numbers: [990]
990,88 unequal: No Solution
Exploring Operation: 90+11=101, Resulting Numbers: [101]
101,88 unequal: No Solution
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,88 unequal: No Solution
No 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: 88:[88, 82], Operations: ['14-6=8', '90-8=82']
Exploring Operation: 88*82=7216, Resulting Numbers: [7216]
7216,88 unequal: No Solution
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Exploring Operation: 88+82=170, Resulting Numbers: [170]
170,88 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: 88:[88, 90, 20], Operations: ['14+6=20']
Exploring Operation: 90-20=70, Resulting Numbers: [88, 70]
Generated Node #0,0,0: 88:[88, 70] Operation: 90-20=70
Exploring Operation: 88+20=108, Resulting Numbers: [90, 108]
Generated Node #0,0,1: 88:[90, 108] Operation: 88+20=108
Exploring Operation: 90-88=2, Resulting Numbers: [20, 2]
Generated Node #0,0,2: 88:[20, 2] Operation: 90-88=2
Moving to Node #0,1
Current State: 88:[14, 6, 2], Operations: ['90-88=2']
Exploring Operation: 14+6=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 88:[2, 20] Operation: 14+6=20
Exploring Operation: 14-6=8, Resulting Numbers: [2, 8]
Generated Node #0,1,1: 88:[2, 8] Operation: 14-6=8
Exploring Operation: 14-2=12, Resulting Numbers: [6, 12]
Generated Node #0,1,2: 88:[6, 12] Operation: 14-2=12
Moving to Node #0,1,1
Current State: 88:[2, 8], Operations: ['90-88=2', '14-6=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[20, 2], Operations: ['14+6=20', '90-88=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[2, 20], Operations: ['90-88=2', '14+6=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[6, 12], Operations: ['90-88=2', '14-2=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[88, 70], Operations: ['14+6=20', '90-20=70']
Exploring Operation: 88*70=6160, Resulting Numbers: [6160]
6160,88 unequal: No Solution
Exploring Operation: 88+70=158, Resulting Numbers: [158]
158,88 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[90, 108], Operations: ['14+6=20', '88+20=108']
Exploring Operation: 108-90=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 90+108=198, Resulting Numbers: [198]
198,88 unequal: No Solution
Exploring Operation: 90*108=9720, Resulting Numbers: [9720]
9720,88 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
16,
40,
93,
10
] | 97 | [
"16*10=160",
"160/40=4",
"93+4=97"
] | Current State: 97:[16, 40, 93, 10], Operations: []
Exploring Operation: 16*10=160, Resulting Numbers: [40, 93, 160]
Generated Node #2: [40, 93, 160] from Operation: 16*10=160
Current State: 97:[40, 93, 160], Operations: ['16*10=160']
Exploring Operation: 160/40=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 160/40=4
Current State: 97:[93, 4], Operations: ['16*10=160', '160/40=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[16, 40, 93, 10], Operations: []
Exploring Operation: 16*10=160, Resulting Numbers: [40, 93, 160]
Generated Node #0,0: 97:[40, 93, 160] Operation: 16*10=160
Exploring Operation: 16+40=56, Resulting Numbers: [93, 10, 56]
Generated Node #0,1: 97:[93, 10, 56] Operation: 16+40=56
Exploring Operation: 16+10=26, Resulting Numbers: [40, 93, 26]
Generated Node #0,2: 97:[40, 93, 26] Operation: 16+10=26
Exploring Operation: 40+10=50, Resulting Numbers: [16, 93, 50]
Generated Node #0,3: 97:[16, 93, 50] Operation: 40+10=50
Exploring Operation: 93+10=103, Resulting Numbers: [16, 40, 103]
Generated Node #0,4: 97:[16, 40, 103] Operation: 93+10=103
Moving to Node #0,0
Current State: 97:[40, 93, 160], Operations: ['16*10=160']
Exploring Operation: 160-40=120, Resulting Numbers: [93, 120]
Generated Node #0,0,0: 97:[93, 120] Operation: 160-40=120
Exploring Operation: 40+93=133, Resulting Numbers: [160, 133]
Generated Node #0,0,1: 97:[160, 133] Operation: 40+93=133
Exploring Operation: 93-40=53, Resulting Numbers: [160, 53]
Generated Node #0,0,2: 97:[160, 53] Operation: 93-40=53
Exploring Operation: 160-93=67, Resulting Numbers: [40, 67]
Generated Node #0,0,3: 97:[40, 67] Operation: 160-93=67
Exploring Operation: 160/40=4, Resulting Numbers: [93, 4]
Generated Node #0,0,4: 97:[93, 4] Operation: 160/40=4
Moving to Node #0,2
Current State: 97:[40, 93, 26], Operations: ['16+10=26']
Exploring Operation: 93+26=119, Resulting Numbers: [40, 119]
Generated Node #0,2,0: 97:[40, 119] Operation: 93+26=119
Exploring Operation: 93-26=67, Resulting Numbers: [40, 67]
Generated Node #0,2,1: 97:[40, 67] Operation: 93-26=67
Exploring Operation: 40-26=14, Resulting Numbers: [93, 14]
Generated Node #0,2,2: 97:[93, 14] Operation: 40-26=14
Exploring Operation: 40+26=66, Resulting Numbers: [93, 66]
Generated Node #0,2,3: 97:[93, 66] Operation: 40+26=66
Exploring Operation: 40+93=133, Resulting Numbers: [26, 133]
Generated Node #0,2,4: 97:[26, 133] Operation: 40+93=133
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[93, 66], Operations: ['16+10=26', '40+26=66']
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 93+66=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 93*66=6138, Resulting Numbers: [6138]
6138,97 unequal: No Solution
No 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: 97:[40, 119], Operations: ['16+10=26', '93+26=119']
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 40+119=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 40*119=4760, Resulting Numbers: [4760]
4760,97 unequal: No Solution
No 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: 97:[40, 67], Operations: ['16+10=26', '93-26=67']
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,97 unequal: No Solution
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,97 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,97 unequal: No Solution
No 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: 97:[93, 14], Operations: ['16+10=26', '40-26=14']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 93*14=1302, Resulting Numbers: [1302]
1302,97 unequal: No Solution
Exploring Operation: 93+14=107, Resulting Numbers: [107]
107,97 unequal: No Solution
No 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: 97:[26, 133], Operations: ['16+10=26', '40+93=133']
Exploring Operation: 133-26=107, Resulting Numbers: [107]
107,97 unequal: No Solution
Exploring Operation: 26*133=3458, Resulting Numbers: [3458]
3458,97 unequal: No Solution
Exploring Operation: 26+133=159, Resulting Numbers: [159]
159,97 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: 97:[93, 10, 56], Operations: ['16+40=56']
Exploring Operation: 10+56=66, Resulting Numbers: [93, 66]
Generated Node #0,1,0: 97:[93, 66] Operation: 10+56=66
Exploring Operation: 93+10=103, Resulting Numbers: [56, 103]
Generated Node #0,1,1: 97:[56, 103] Operation: 93+10=103
Exploring Operation: 93-10=83, Resulting Numbers: [56, 83]
Generated Node #0,1,2: 97:[56, 83] Operation: 93-10=83
Exploring Operation: 93+56=149, Resulting Numbers: [10, 149]
Generated Node #0,1,3: 97:[10, 149] Operation: 93+56=149
Exploring Operation: 56-10=46, Resulting Numbers: [93, 46]
Generated Node #0,1,4: 97:[93, 46] Operation: 56-10=46
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[93, 66], Operations: ['16+40=56', '10+56=66']
Exploring Operation: 93+66=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 93*66=6138, Resulting Numbers: [6138]
6138,97 unequal: No Solution
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,97 unequal: No Solution
No 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: 97:[56, 103], Operations: ['16+40=56', '93+10=103']
Exploring Operation: 103-56=47, Resulting Numbers: [47]
47,97 unequal: No Solution
Exploring Operation: 56+103=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 56*103=5768, Resulting Numbers: [5768]
5768,97 unequal: No Solution
No 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: 97:[56, 83], Operations: ['16+40=56', '93-10=83']
Exploring Operation: 56*83=4648, Resulting Numbers: [4648]
4648,97 unequal: No Solution
Exploring Operation: 56+83=139, Resulting Numbers: [139]
139,97 unequal: No Solution
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 97:[93, 46], Operations: ['16+40=56', '56-10=46']
Exploring Operation: 93+46=139, Resulting Numbers: [139]
139,97 unequal: No Solution
Exploring Operation: 93*46=4278, Resulting Numbers: [4278]
4278,97 unequal: No Solution
Exploring Operation: 93-46=47, Resulting Numbers: [47]
47,97 unequal: No Solution
No 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: 97:[10, 149], Operations: ['16+40=56', '93+56=149']
Exploring Operation: 10+149=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 149-10=139, Resulting Numbers: [139]
139,97 unequal: No Solution
Exploring Operation: 10*149=1490, Resulting Numbers: [1490]
1490,97 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: 97:[16, 93, 50], Operations: ['40+10=50']
Exploring Operation: 16+93=109, Resulting Numbers: [50, 109]
Generated Node #0,3,0: 97:[50, 109] Operation: 16+93=109
Exploring Operation: 93+50=143, Resulting Numbers: [16, 143]
Generated Node #0,3,1: 97:[16, 143] Operation: 93+50=143
Exploring Operation: 93-16=77, Resulting Numbers: [50, 77]
Generated Node #0,3,2: 97:[50, 77] Operation: 93-16=77
Exploring Operation: 16+50=66, Resulting Numbers: [93, 66]
Generated Node #0,3,3: 97:[93, 66] Operation: 16+50=66
Exploring Operation: 50-16=34, Resulting Numbers: [93, 34]
Generated Node #0,3,4: 97:[93, 34] Operation: 50-16=34
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[93, 66], Operations: ['40+10=50', '16+50=66']
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 93+66=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 93*66=6138, Resulting Numbers: [6138]
6138,97 unequal: No Solution
No 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: 97:[50, 109], Operations: ['40+10=50', '16+93=109']
Exploring Operation: 109-50=59, Resulting Numbers: [59]
59,97 unequal: No Solution
Exploring Operation: 50*109=5450, Resulting Numbers: [5450]
5450,97 unequal: No Solution
Exploring Operation: 50+109=159, Resulting Numbers: [159]
159,97 unequal: No Solution
No 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: 97:[50, 77], Operations: ['40+10=50', '93-16=77']
Exploring Operation: 50+77=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 50*77=3850, Resulting Numbers: [3850]
3850,97 unequal: No Solution
No 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: 97:[93, 34], Operations: ['40+10=50', '50-16=34']
Exploring Operation: 93*34=3162, Resulting Numbers: [3162]
3162,97 unequal: No Solution
Exploring Operation: 93+34=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,97 unequal: No Solution
No 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: 97:[16, 143], Operations: ['40+10=50', '93+50=143']
Exploring Operation: 16*143=2288, Resulting Numbers: [2288]
2288,97 unequal: No Solution
Exploring Operation: 16+143=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 143-16=127, Resulting Numbers: [127]
127,97 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: 97:[16, 40, 103], Operations: ['93+10=103']
Exploring Operation: 40-16=24, Resulting Numbers: [103, 24]
Generated Node #0,4,0: 97:[103, 24] Operation: 40-16=24
Exploring Operation: 103-16=87, Resulting Numbers: [40, 87]
Generated Node #0,4,1: 97:[40, 87] Operation: 103-16=87
Exploring Operation: 16+103=119, Resulting Numbers: [40, 119]
Generated Node #0,4,2: 97:[40, 119] Operation: 16+103=119
Exploring Operation: 103-40=63, Resulting Numbers: [16, 63]
Generated Node #0,4,3: 97:[16, 63] Operation: 103-40=63
Exploring Operation: 16+40=56, Resulting Numbers: [103, 56]
Generated Node #0,4,4: 97:[103, 56] Operation: 16+40=56
Moving to Node #0,0,0
Current State: 97:[93, 120], Operations: ['16*10=160', '160-40=120']
Exploring Operation: 93*120=11160, Resulting Numbers: [11160]
11160,97 unequal: No Solution
Exploring Operation: 120-93=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 93+120=213, Resulting Numbers: [213]
213,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[103, 56], Operations: ['93+10=103', '16+40=56']
Exploring Operation: 103+56=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 103*56=5768, Resulting Numbers: [5768]
5768,97 unequal: No Solution
Exploring Operation: 103-56=47, Resulting Numbers: [47]
47,97 unequal: No Solution
Moving to Node #0,4,1
Current State: 97:[40, 87], Operations: ['93+10=103', '103-16=87']
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,97 unequal: No Solution
Exploring Operation: 40+87=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 40*87=3480, Resulting Numbers: [3480]
3480,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[103, 24], Operations: ['93+10=103', '40-16=24']
Exploring Operation: 103+24=127, Resulting Numbers: [127]
127,97 unequal: No Solution
Exploring Operation: 103-24=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 103*24=2472, Resulting Numbers: [2472]
2472,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[40, 119], Operations: ['93+10=103', '16+103=119']
Exploring Operation: 40*119=4760, Resulting Numbers: [4760]
4760,97 unequal: No Solution
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 40+119=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[40, 67], Operations: ['16*10=160', '160-93=67']
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,97 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,97 unequal: No Solution
Moving to Node #0,0,4
Current State: 97:[93, 4], Operations: ['16*10=160', '160/40=4']
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,97 unequal: No Solution
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[16, 40, 93, 10], Operations: []
Exploring Operation: 16*10=160, Resulting Numbers: [40, 93, 160]
Generated Node #0,0: 97:[40, 93, 160] Operation: 16*10=160
Moving to Node #0,0
Current State: 97:[40, 93, 160], Operations: ['16*10=160']
Exploring Operation: 160/40=4, Resulting Numbers: [93, 4]
Generated Node #0,0,4: 97:[93, 4] Operation: 160/40=4
Moving to Node #0,0,4
Current State: 97:[93, 4], Operations: ['16*10=160', '160/40=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.914063 | hs_5 | sum_heuristic |
[
60,
21,
36,
72
] | 51 | [
"60*36=2160",
"2160/72=30",
"21+30=51"
] | Current State: 51:[60, 21, 36, 72], Operations: []
Exploring Operation: 60*36=2160, Resulting Numbers: [21, 72, 2160]
Generated Node #2: [21, 72, 2160] from Operation: 60*36=2160
Current State: 51:[21, 72, 2160], Operations: ['60*36=2160']
Exploring Operation: 2160/72=30, Resulting Numbers: [21, 30]
Generated Node #3: [21, 30] from Operation: 2160/72=30
Current State: 51:[21, 30], Operations: ['60*36=2160', '2160/72=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[60, 21, 36, 72], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [21, 36, 12]
Generated Node #0,0: 51:[21, 36, 12] Operation: 72-60=12
Exploring Operation: 72/36=2, Resulting Numbers: [60, 21, 2]
Generated Node #0,1: 51:[60, 21, 2] Operation: 72/36=2
Moving to Node #0,1
Current State: 51:[60, 21, 2], Operations: ['72/36=2']
Exploring Operation: 60-2=58, Resulting Numbers: [21, 58]
Generated Node #0,1,0: 51:[21, 58] Operation: 60-2=58
Exploring Operation: 21-2=19, Resulting Numbers: [60, 19]
Generated Node #0,1,1: 51:[60, 19] Operation: 21-2=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[21, 58], Operations: ['72/36=2', '60-2=58']
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,51 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[60, 19], Operations: ['72/36=2', '21-2=19']
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,51 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,51 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: 51:[21, 36, 12], Operations: ['72-60=12']
Exploring Operation: 36-21=15, Resulting Numbers: [12, 15]
Generated Node #0,0,0: 51:[12, 15] Operation: 36-21=15
Exploring Operation: 36/12=3, Resulting Numbers: [21, 3]
Generated Node #0,0,1: 51:[21, 3] Operation: 36/12=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[21, 3], Operations: ['72-60=12', '36/12=3']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[12, 15], Operations: ['72-60=12', '36-21=15']
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,51 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
59,
30,
66,
92
] | 55 | [
"59-30=29",
"92-66=26",
"29+26=55"
] | Current State: 55:[59, 30, 66, 92], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [66, 92, 29]
Generated Node #2: [66, 92, 29] from Operation: 59-30=29
Current State: 55:[66, 92, 29], Operations: ['59-30=29']
Exploring Operation: 92-66=26, Resulting Numbers: [29, 26]
Generated Node #3: [29, 26] from Operation: 92-66=26
Current State: 55:[29, 26], Operations: ['59-30=29', '92-66=26']
Exploring Operation: 29+26=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[59, 30, 66, 92], Operations: []
Exploring Operation: 92-59=33, Resulting Numbers: [30, 66, 33]
Generated Node #0,0: 55:[30, 66, 33] Operation: 92-59=33
Exploring Operation: 92-66=26, Resulting Numbers: [59, 30, 26]
Generated Node #0,1: 55:[59, 30, 26] Operation: 92-66=26
Exploring Operation: 66-59=7, Resulting Numbers: [30, 92, 7]
Generated Node #0,2: 55:[30, 92, 7] Operation: 66-59=7
Exploring Operation: 92-30=62, Resulting Numbers: [59, 66, 62]
Generated Node #0,3: 55:[59, 66, 62] Operation: 92-30=62
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[59, 66, 62], Operations: ['92-30=62']
Exploring Operation: 66-59=7, Resulting Numbers: [62, 7]
Generated Node #0,3,0: 55:[62, 7] Operation: 66-59=7
Exploring Operation: 59+66=125, Resulting Numbers: [62, 125]
Generated Node #0,3,1: 55:[62, 125] Operation: 59+66=125
Exploring Operation: 66-62=4, Resulting Numbers: [59, 4]
Generated Node #0,3,2: 55:[59, 4] Operation: 66-62=4
Exploring Operation: 62-59=3, Resulting Numbers: [66, 3]
Generated Node #0,3,3: 55:[66, 3] Operation: 62-59=3
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 55:[59, 4], Operations: ['92-30=62', '66-62=4']
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,55 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[59, 30, 66, 92], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [59, 66, 62]
Generated Node #0,3: 55:[59, 66, 62] Operation: 92-30=62
Moving to Node #0,3
Current State: 55:[59, 66, 62], Operations: ['92-30=62']
Exploring Operation: 66-62=4, Resulting Numbers: [59, 4]
Generated Node #0,3,2: 55:[59, 4] Operation: 66-62=4
Moving to Node #0,3,2
Current State: 55:[59, 4], Operations: ['92-30=62', '66-62=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
8,
64,
12,
33
] | 13 | [
"64/8=8",
"33-12=21",
"21-8=13"
] | Current State: 13:[8, 64, 12, 33], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [12, 33, 8]
Generated Node #2: [12, 33, 8] from Operation: 64/8=8
Current State: 13:[12, 33, 8], Operations: ['64/8=8']
Exploring Operation: 33-12=21, Resulting Numbers: [8, 21]
Generated Node #3: [8, 21] from Operation: 33-12=21
Current State: 13:[8, 21], Operations: ['64/8=8', '33-12=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[8, 64, 12, 33], Operations: []
Exploring Operation: 64-33=31, Resulting Numbers: [8, 12, 31]
Generated Node #0,0: 13:[8, 12, 31] Operation: 64-33=31
Exploring Operation: 64-8=56, Resulting Numbers: [12, 33, 56]
Generated Node #0,1: 13:[12, 33, 56] Operation: 64-8=56
Exploring Operation: 64/8=8, Resulting Numbers: [12, 33, 8]
Generated Node #0,2: 13:[12, 33, 8] Operation: 64/8=8
Exploring Operation: 33-8=25, Resulting Numbers: [64, 12, 25]
Generated Node #0,3: 13:[64, 12, 25] Operation: 33-8=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[8, 12, 31], Operations: ['64-33=31']
Exploring Operation: 8+12=20, Resulting Numbers: [31, 20]
Generated Node #0,0,0: 13:[31, 20] Operation: 8+12=20
Exploring Operation: 31-8=23, Resulting Numbers: [12, 23]
Generated Node #0,0,1: 13:[12, 23] Operation: 31-8=23
Exploring Operation: 31-12=19, Resulting Numbers: [8, 19]
Generated Node #0,0,2: 13:[8, 19] Operation: 31-12=19
Exploring Operation: 12-8=4, Resulting Numbers: [31, 4]
Generated Node #0,0,3: 13:[31, 4] Operation: 12-8=4
Moving to Node #0,0,1
Current State: 13:[12, 23], Operations: ['64-33=31', '31-8=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[8, 19], Operations: ['64-33=31', '31-12=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,13 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[31, 20], Operations: ['64-33=31', '8+12=20']
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,13 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[31, 4], Operations: ['64-33=31', '12-8=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,13 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 #0,2
Current State: 13:[12, 33, 8], Operations: ['64/8=8']
Exploring Operation: 33-12=21, Resulting Numbers: [8, 21]
Generated Node #0,2,0: 13:[8, 21] Operation: 33-12=21
Exploring Operation: 33-8=25, Resulting Numbers: [12, 25]
Generated Node #0,2,1: 13:[12, 25] Operation: 33-8=25
Exploring Operation: 12-8=4, Resulting Numbers: [33, 4]
Generated Node #0,2,2: 13:[33, 4] Operation: 12-8=4
Exploring Operation: 12+8=20, Resulting Numbers: [33, 20]
Generated Node #0,2,3: 13:[33, 20] Operation: 12+8=20
Moving to Node #0,2,0
Current State: 13:[8, 21], Operations: ['64/8=8', '33-12=21']
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,13 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[8, 64, 12, 33], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [12, 33, 8]
Generated Node #0,2: 13:[12, 33, 8] Operation: 64/8=8
Moving to Node #0,2
Current State: 13:[12, 33, 8], Operations: ['64/8=8']
Exploring Operation: 33-12=21, Resulting Numbers: [8, 21]
Generated Node #0,2,0: 13:[8, 21] Operation: 33-12=21
Moving to Node #0,2,0
Current State: 13:[8, 21], Operations: ['64/8=8', '33-12=21']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
1,
32,
94,
38
] | 99 | [
"1+32=33",
"94+38=132",
"132-33=99"
] | Current State: 99:[1, 32, 94, 38], Operations: []
Exploring Operation: 1+32=33, Resulting Numbers: [94, 38, 33]
Generated Node #2: [94, 38, 33] from Operation: 1+32=33
Current State: 99:[94, 38, 33], Operations: ['1+32=33']
Exploring Operation: 94+38=132, Resulting Numbers: [33, 132]
Generated Node #3: [33, 132] from Operation: 94+38=132
Current State: 99:[33, 132], Operations: ['1+32=33', '94+38=132']
Exploring Operation: 132-33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[1, 32, 94, 38], Operations: []
Exploring Operation: 38-1=37, Resulting Numbers: [32, 94, 37]
Generated Node #0,0: 99:[32, 94, 37] Operation: 38-1=37
Exploring Operation: 1+94=95, Resulting Numbers: [32, 38, 95]
Generated Node #0,1: 99:[32, 38, 95] Operation: 1+94=95
Exploring Operation: 1+32=33, Resulting Numbers: [94, 38, 33]
Generated Node #0,2: 99:[94, 38, 33] Operation: 1+32=33
Moving to Node #0,0
Current State: 99:[32, 94, 37], Operations: ['38-1=37']
Exploring Operation: 37-32=5, Resulting Numbers: [94, 5]
Generated Node #0,0,0: 99:[94, 5] Operation: 37-32=5
Exploring Operation: 94-37=57, Resulting Numbers: [32, 57]
Generated Node #0,0,1: 99:[32, 57] Operation: 94-37=57
Exploring Operation: 32+94=126, Resulting Numbers: [37, 126]
Generated Node #0,0,2: 99:[37, 126] Operation: 32+94=126
Moving to Node #0,1
Current State: 99:[32, 38, 95], Operations: ['1+94=95']
Exploring Operation: 95-38=57, Resulting Numbers: [32, 57]
Generated Node #0,1,0: 99:[32, 57] Operation: 95-38=57
Exploring Operation: 38-32=6, Resulting Numbers: [95, 6]
Generated Node #0,1,1: 99:[95, 6] Operation: 38-32=6
Exploring Operation: 32+38=70, Resulting Numbers: [95, 70]
Generated Node #0,1,2: 99:[95, 70] Operation: 32+38=70
Moving to Node #0,2
Current State: 99:[94, 38, 33], Operations: ['1+32=33']
Exploring Operation: 94+38=132, Resulting Numbers: [33, 132]
Generated Node #0,2,0: 99:[33, 132] Operation: 94+38=132
Exploring Operation: 94-38=56, Resulting Numbers: [33, 56]
Generated Node #0,2,1: 99:[33, 56] Operation: 94-38=56
Exploring Operation: 38-33=5, Resulting Numbers: [94, 5]
Generated Node #0,2,2: 99:[94, 5] Operation: 38-33=5
Moving to Node #0,0,0
Current State: 99:[94, 5], Operations: ['38-1=37', '37-32=5']
Exploring Operation: 94+5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[1, 32, 94, 38], Operations: []
Exploring Operation: 38-1=37, Resulting Numbers: [32, 94, 37]
Generated Node #0,0: 99:[32, 94, 37] Operation: 38-1=37
Moving to Node #0,0
Current State: 99:[32, 94, 37], Operations: ['38-1=37']
Exploring Operation: 37-32=5, Resulting Numbers: [94, 5]
Generated Node #0,0,0: 99:[94, 5] Operation: 37-32=5
Moving to Node #0,0,0
Current State: 99:[94, 5], Operations: ['38-1=37', '37-32=5']
Exploring Operation: 94+5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.985243 | hs_3 | mult_heuristic |
[
3,
14,
9,
35
] | 33 | [
"14-3=11",
"9+35=44",
"44-11=33"
] | Current State: 33:[3, 14, 9, 35], Operations: []
Exploring Operation: 14-3=11, Resulting Numbers: [9, 35, 11]
Generated Node #2: [9, 35, 11] from Operation: 14-3=11
Current State: 33:[9, 35, 11], Operations: ['14-3=11']
Exploring Operation: 9+35=44, Resulting Numbers: [11, 44]
Generated Node #3: [11, 44] from Operation: 9+35=44
Current State: 33:[11, 44], Operations: ['14-3=11', '9+35=44']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[3, 14, 9, 35], Operations: []
Exploring Operation: 3+9=12, Resulting Numbers: [14, 35, 12]
Generated Node #0,0: 33:[14, 35, 12] Operation: 3+9=12
Exploring Operation: 9/3=3, Resulting Numbers: [14, 35, 3]
Generated Node #0,1: 33:[14, 35, 3] Operation: 9/3=3
Exploring Operation: 14-3=11, Resulting Numbers: [9, 35, 11]
Generated Node #0,2: 33:[9, 35, 11] Operation: 14-3=11
Exploring Operation: 14-9=5, Resulting Numbers: [3, 35, 5]
Generated Node #0,3: 33:[3, 35, 5] Operation: 14-9=5
Moving to Node #0,2
Current State: 33:[9, 35, 11], Operations: ['14-3=11']
Exploring Operation: 9+35=44, Resulting Numbers: [11, 44]
Generated Node #0,2,0: 33:[11, 44] Operation: 9+35=44
Exploring Operation: 11-9=2, Resulting Numbers: [35, 2]
Generated Node #0,2,1: 33:[35, 2] Operation: 11-9=2
Exploring Operation: 9+11=20, Resulting Numbers: [35, 20]
Generated Node #0,2,2: 33:[35, 20] Operation: 9+11=20
Exploring Operation: 35-9=26, Resulting Numbers: [11, 26]
Generated Node #0,2,3: 33:[11, 26] Operation: 35-9=26
Moving to Node #0,3
Current State: 33:[3, 35, 5], Operations: ['14-9=5']
Exploring Operation: 35-5=30, Resulting Numbers: [3, 30]
Generated Node #0,3,0: 33:[3, 30] Operation: 35-5=30
Exploring Operation: 35-3=32, Resulting Numbers: [5, 32]
Generated Node #0,3,1: 33:[5, 32] Operation: 35-3=32
Exploring Operation: 5-3=2, Resulting Numbers: [35, 2]
Generated Node #0,3,2: 33:[35, 2] Operation: 5-3=2
Exploring Operation: 35/5=7, Resulting Numbers: [3, 7]
Generated Node #0,3,3: 33:[3, 7] Operation: 35/5=7
Moving to Node #0,1
Current State: 33:[14, 35, 3], Operations: ['9/3=3']
Exploring Operation: 35+3=38, Resulting Numbers: [14, 38]
Generated Node #0,1,0: 33:[14, 38] Operation: 35+3=38
Exploring Operation: 14+3=17, Resulting Numbers: [35, 17]
Generated Node #0,1,1: 33:[35, 17] Operation: 14+3=17
Exploring Operation: 14-3=11, Resulting Numbers: [35, 11]
Generated Node #0,1,2: 33:[35, 11] Operation: 14-3=11
Exploring Operation: 35-3=32, Resulting Numbers: [14, 32]
Generated Node #0,1,3: 33:[14, 32] Operation: 35-3=32
Moving to Node #0,0
Current State: 33:[14, 35, 12], Operations: ['3+9=12']
Exploring Operation: 35-12=23, Resulting Numbers: [14, 23]
Generated Node #0,0,0: 33:[14, 23] Operation: 35-12=23
Exploring Operation: 35-14=21, Resulting Numbers: [12, 21]
Generated Node #0,0,1: 33:[12, 21] Operation: 35-14=21
Exploring Operation: 14-12=2, Resulting Numbers: [35, 2]
Generated Node #0,0,2: 33:[35, 2] Operation: 14-12=2
Exploring Operation: 14+12=26, Resulting Numbers: [35, 26]
Generated Node #0,0,3: 33:[35, 26] Operation: 14+12=26
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 33:[35, 2], Operations: ['3+9=12', '14-12=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[3, 14, 9, 35], Operations: []
Exploring Operation: 3+9=12, Resulting Numbers: [14, 35, 12]
Generated Node #0,0: 33:[14, 35, 12] Operation: 3+9=12
Moving to Node #0,0
Current State: 33:[14, 35, 12], Operations: ['3+9=12']
Exploring Operation: 14-12=2, Resulting Numbers: [35, 2]
Generated Node #0,0,2: 33:[35, 2] Operation: 14-12=2
Moving to Node #0,0,2
Current State: 33:[35, 2], Operations: ['3+9=12', '14-12=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | sum_heuristic |
[
42,
35,
19,
41
] | 72 | [
"41-35=6",
"19*6=114",
"114-42=72"
] | Current State: 72:[42, 35, 19, 41], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [42, 19, 6]
Generated Node #2: [42, 19, 6] from Operation: 41-35=6
Current State: 72:[42, 19, 6], Operations: ['41-35=6']
Exploring Operation: 19*6=114, Resulting Numbers: [42, 114]
Generated Node #3: [42, 114] from Operation: 19*6=114
Current State: 72:[42, 114], Operations: ['41-35=6', '19*6=114']
Exploring Operation: 114-42=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[42, 35, 19, 41], Operations: []
Exploring Operation: 42-41=1, Resulting Numbers: [35, 19, 1]
Generated Node #0,0: 72:[35, 19, 1] Operation: 42-41=1
Exploring Operation: 42-35=7, Resulting Numbers: [19, 41, 7]
Generated Node #0,1: 72:[19, 41, 7] Operation: 42-35=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[35, 19, 1], Operations: ['42-41=1']
Exploring Operation: 35+1=36, Resulting Numbers: [19, 36]
Generated Node #0,0,0: 72:[19, 36] Operation: 35+1=36
Exploring Operation: 19-1=18, Resulting Numbers: [35, 18]
Generated Node #0,0,1: 72:[35, 18] Operation: 19-1=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[19, 36], Operations: ['42-41=1', '35+1=36']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,72 unequal: No Solution
No 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: 72:[35, 18], Operations: ['42-41=1', '19-1=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[19, 41, 7], Operations: ['42-35=7']
Exploring Operation: 41-7=34, Resulting Numbers: [19, 34]
Generated Node #0,1,0: 72:[19, 34] Operation: 41-7=34
Exploring Operation: 41-19=22, Resulting Numbers: [7, 22]
Generated Node #0,1,1: 72:[7, 22] Operation: 41-19=22
Moving to Node #0,1,0
Current State: 72:[19, 34], Operations: ['42-35=7', '41-7=34']
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[7, 22], Operations: ['42-35=7', '41-19=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,72 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 |
[
79,
19,
11,
40
] | 47 | [
"79+19=98",
"11+40=51",
"98-51=47"
] | Current State: 47:[79, 19, 11, 40], Operations: []
Exploring Operation: 79+19=98, Resulting Numbers: [11, 40, 98]
Generated Node #2: [11, 40, 98] from Operation: 79+19=98
Current State: 47:[11, 40, 98], Operations: ['79+19=98']
Exploring Operation: 11+40=51, Resulting Numbers: [98, 51]
Generated Node #3: [98, 51] from Operation: 11+40=51
Current State: 47:[98, 51], Operations: ['79+19=98', '11+40=51']
Exploring Operation: 98-51=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[79, 19, 11, 40], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [11, 40, 60]
Generated Node #0,0: 47:[11, 40, 60] Operation: 79-19=60
Exploring Operation: 79-11=68, Resulting Numbers: [19, 40, 68]
Generated Node #0,1: 47:[19, 40, 68] Operation: 79-11=68
Exploring Operation: 19+11=30, Resulting Numbers: [79, 40, 30]
Generated Node #0,2: 47:[79, 40, 30] Operation: 19+11=30
Exploring Operation: 11+40=51, Resulting Numbers: [79, 19, 51]
Generated Node #0,3: 47:[79, 19, 51] Operation: 11+40=51
Exploring Operation: 79-40=39, Resulting Numbers: [19, 11, 39]
Generated Node #0,4: 47:[19, 11, 39] Operation: 79-40=39
Moving to Node #0,0
Current State: 47:[11, 40, 60], Operations: ['79-19=60']
Exploring Operation: 60-11=49, Resulting Numbers: [40, 49]
Generated Node #0,0,0: 47:[40, 49] Operation: 60-11=49
Exploring Operation: 60-40=20, Resulting Numbers: [11, 20]
Generated Node #0,0,1: 47:[11, 20] Operation: 60-40=20
Exploring Operation: 11+40=51, Resulting Numbers: [60, 51]
Generated Node #0,0,2: 47:[60, 51] Operation: 11+40=51
Exploring Operation: 11+60=71, Resulting Numbers: [40, 71]
Generated Node #0,0,3: 47:[40, 71] Operation: 11+60=71
Exploring Operation: 40-11=29, Resulting Numbers: [60, 29]
Generated Node #0,0,4: 47:[60, 29] Operation: 40-11=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[40, 49], Operations: ['79-19=60', '60-11=49']
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 40*49=1960, Resulting Numbers: [1960]
1960,47 unequal: No Solution
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[60, 51], Operations: ['79-19=60', '11+40=51']
Exploring Operation: 60*51=3060, Resulting Numbers: [3060]
3060,47 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 60+51=111, Resulting Numbers: [111]
111,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[40, 71], Operations: ['79-19=60', '11+60=71']
Exploring Operation: 40*71=2840, Resulting Numbers: [2840]
2840,47 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 40+71=111, Resulting Numbers: [111]
111,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 47:[60, 29], Operations: ['79-19=60', '40-11=29']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,47 unequal: No Solution
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[11, 20], Operations: ['79-19=60', '60-40=20']
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 47:[79, 40, 30], Operations: ['19+11=30']
Exploring Operation: 79+30=109, Resulting Numbers: [40, 109]
Generated Node #0,2,0: 47:[40, 109] Operation: 79+30=109
Exploring Operation: 79-40=39, Resulting Numbers: [30, 39]
Generated Node #0,2,1: 47:[30, 39] Operation: 79-40=39
Exploring Operation: 40-30=10, Resulting Numbers: [79, 10]
Generated Node #0,2,2: 47:[79, 10] Operation: 40-30=10
Exploring Operation: 79-30=49, Resulting Numbers: [40, 49]
Generated Node #0,2,3: 47:[40, 49] Operation: 79-30=49
Exploring Operation: 40+30=70, Resulting Numbers: [79, 70]
Generated Node #0,2,4: 47:[79, 70] Operation: 40+30=70
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 47:[40, 49], Operations: ['19+11=30', '79-30=49']
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 40*49=1960, Resulting Numbers: [1960]
1960,47 unequal: No Solution
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[30, 39], Operations: ['19+11=30', '79-40=39']
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,47 unequal: No Solution
Exploring Operation: 30*39=1170, Resulting Numbers: [1170]
1170,47 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 47:[79, 70], Operations: ['19+11=30', '40+30=70']
Exploring Operation: 79+70=149, Resulting Numbers: [149]
149,47 unequal: No Solution
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 79*70=5530, Resulting Numbers: [5530]
5530,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[40, 109], Operations: ['19+11=30', '79+30=109']
Exploring Operation: 40+109=149, Resulting Numbers: [149]
149,47 unequal: No Solution
Exploring Operation: 40*109=4360, Resulting Numbers: [4360]
4360,47 unequal: No Solution
Exploring Operation: 109-40=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[79, 10], Operations: ['19+11=30', '40-30=10']
Exploring Operation: 79*10=790, Resulting Numbers: [790]
790,47 unequal: No Solution
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 47:[19, 40, 68], Operations: ['79-11=68']
Exploring Operation: 68-40=28, Resulting Numbers: [19, 28]
Generated Node #0,1,0: 47:[19, 28] Operation: 68-40=28
Exploring Operation: 19+68=87, Resulting Numbers: [40, 87]
Generated Node #0,1,1: 47:[40, 87] Operation: 19+68=87
Exploring Operation: 19+40=59, Resulting Numbers: [68, 59]
Generated Node #0,1,2: 47:[68, 59] Operation: 19+40=59
Exploring Operation: 40-19=21, Resulting Numbers: [68, 21]
Generated Node #0,1,3: 47:[68, 21] Operation: 40-19=21
Exploring Operation: 68-19=49, Resulting Numbers: [40, 49]
Generated Node #0,1,4: 47:[40, 49] Operation: 68-19=49
Moving to Node #0,3
Current State: 47:[79, 19, 51], Operations: ['11+40=51']
Exploring Operation: 51-19=32, Resulting Numbers: [79, 32]
Generated Node #0,3,0: 47:[79, 32] Operation: 51-19=32
Exploring Operation: 79-51=28, Resulting Numbers: [19, 28]
Generated Node #0,3,1: 47:[19, 28] Operation: 79-51=28
Exploring Operation: 19+51=70, Resulting Numbers: [79, 70]
Generated Node #0,3,2: 47:[79, 70] Operation: 19+51=70
Exploring Operation: 79-19=60, Resulting Numbers: [51, 60]
Generated Node #0,3,3: 47:[51, 60] Operation: 79-19=60
Exploring Operation: 79+19=98, Resulting Numbers: [51, 98]
Generated Node #0,3,4: 47:[51, 98] Operation: 79+19=98
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 47:[51, 60], Operations: ['11+40=51', '79-19=60']
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 51*60=3060, Resulting Numbers: [3060]
3060,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 47:[79, 32], Operations: ['11+40=51', '51-19=32']
Exploring Operation: 79*32=2528, Resulting Numbers: [2528]
2528,47 unequal: No Solution
Exploring Operation: 79+32=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[79, 19, 11, 40], Operations: []
Exploring Operation: 11+40=51, Resulting Numbers: [79, 19, 51]
Generated Node #0,3: 47:[79, 19, 51] Operation: 11+40=51
Moving to Node #0,3
Current State: 47:[79, 19, 51], Operations: ['11+40=51']
Exploring Operation: 51-19=32, Resulting Numbers: [79, 32]
Generated Node #0,3,0: 47:[79, 32] Operation: 51-19=32
Moving to Node #0,3,0
Current State: 47:[79, 32], Operations: ['11+40=51', '51-19=32']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.943576 | hs_5 | mult_heuristic |
[
19,
36,
81,
26
] | 90 | [
"36-19=17",
"81+26=107",
"107-17=90"
] | Current State: 90:[19, 36, 81, 26], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [81, 26, 17]
Generated Node #2: [81, 26, 17] from Operation: 36-19=17
Current State: 90:[81, 26, 17], Operations: ['36-19=17']
Exploring Operation: 81+26=107, Resulting Numbers: [17, 107]
Generated Node #3: [17, 107] from Operation: 81+26=107
Current State: 90:[17, 107], Operations: ['36-19=17', '81+26=107']
Exploring Operation: 107-17=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[19, 36, 81, 26], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [19, 26, 45]
Generated Node #0,0: 90:[19, 26, 45] Operation: 81-36=45
Exploring Operation: 36-26=10, Resulting Numbers: [19, 81, 10]
Generated Node #0,1: 90:[19, 81, 10] Operation: 36-26=10
Exploring Operation: 36-19=17, Resulting Numbers: [81, 26, 17]
Generated Node #0,2: 90:[81, 26, 17] Operation: 36-19=17
Exploring Operation: 19+26=45, Resulting Numbers: [36, 81, 45]
Generated Node #0,3: 90:[36, 81, 45] Operation: 19+26=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[19, 26, 45], Operations: ['81-36=45']
Exploring Operation: 26-19=7, Resulting Numbers: [45, 7]
Generated Node #0,0,0: 90:[45, 7] Operation: 26-19=7
Exploring Operation: 45-26=19, Resulting Numbers: [19, 19]
Generated Node #0,0,1: 90:[19, 19] Operation: 45-26=19
Exploring Operation: 45-19=26, Resulting Numbers: [26, 26]
Generated Node #0,0,2: 90:[26, 26] Operation: 45-19=26
Exploring Operation: 19+26=45, Resulting Numbers: [45, 45]
Generated Node #0,0,3: 90:[45, 45] Operation: 19+26=45
Moving to Node #0,0,3
Current State: 90:[45, 45], Operations: ['81-36=45', '19+26=45']
Exploring Operation: 45*45=2025, Resulting Numbers: [2025]
2025,90 unequal: No Solution
Exploring Operation: 45/45=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 45-45=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[19, 36, 81, 26], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [19, 26, 45]
Generated Node #0,0: 90:[19, 26, 45] Operation: 81-36=45
Moving to Node #0,0
Current State: 90:[19, 26, 45], Operations: ['81-36=45']
Exploring Operation: 19+26=45, Resulting Numbers: [45, 45]
Generated Node #0,0,3: 90:[45, 45] Operation: 19+26=45
Moving to Node #0,0,3
Current State: 90:[45, 45], Operations: ['81-36=45', '19+26=45']
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
69,
81,
7,
18
] | 37 | [
"81-69=12",
"7+18=25",
"12+25=37"
] | Current State: 37:[69, 81, 7, 18], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [7, 18, 12]
Generated Node #2: [7, 18, 12] from Operation: 81-69=12
Current State: 37:[7, 18, 12], Operations: ['81-69=12']
Exploring Operation: 7+18=25, Resulting Numbers: [12, 25]
Generated Node #3: [12, 25] from Operation: 7+18=25
Current State: 37:[12, 25], Operations: ['81-69=12', '7+18=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[69, 81, 7, 18], Operations: []
Exploring Operation: 69-18=51, Resulting Numbers: [81, 7, 51]
Generated Node #0,0: 37:[81, 7, 51] Operation: 69-18=51
Exploring Operation: 81-18=63, Resulting Numbers: [69, 7, 63]
Generated Node #0,1: 37:[69, 7, 63] Operation: 81-18=63
Exploring Operation: 81-69=12, Resulting Numbers: [7, 18, 12]
Generated Node #0,2: 37:[7, 18, 12] Operation: 81-69=12
Exploring Operation: 81-7=74, Resulting Numbers: [69, 18, 74]
Generated Node #0,3: 37:[69, 18, 74] Operation: 81-7=74
Exploring Operation: 69-7=62, Resulting Numbers: [81, 18, 62]
Generated Node #0,4: 37:[81, 18, 62] Operation: 69-7=62
Moving to Node #0,2
Current State: 37:[7, 18, 12], Operations: ['81-69=12']
Exploring Operation: 12-7=5, Resulting Numbers: [18, 5]
Generated Node #0,2,0: 37:[18, 5] Operation: 12-7=5
Exploring Operation: 7+12=19, Resulting Numbers: [18, 19]
Generated Node #0,2,1: 37:[18, 19] Operation: 7+12=19
Exploring Operation: 18+12=30, Resulting Numbers: [7, 30]
Generated Node #0,2,2: 37:[7, 30] Operation: 18+12=30
Exploring Operation: 18-7=11, Resulting Numbers: [12, 11]
Generated Node #0,2,3: 37:[12, 11] Operation: 18-7=11
Exploring Operation: 7+18=25, Resulting Numbers: [12, 25]
Generated Node #0,2,4: 37:[12, 25] Operation: 7+18=25
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[18, 19], Operations: ['81-69=12', '7+12=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[69, 81, 7, 18], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [7, 18, 12]
Generated Node #0,2: 37:[7, 18, 12] Operation: 81-69=12
Moving to Node #0,2
Current State: 37:[7, 18, 12], Operations: ['81-69=12']
Exploring Operation: 7+12=19, Resulting Numbers: [18, 19]
Generated Node #0,2,1: 37:[18, 19] Operation: 7+12=19
Moving to Node #0,2,1
Current State: 37:[18, 19], Operations: ['81-69=12', '7+12=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
48,
84,
51,
42
] | 75 | [
"48*42=2016",
"2016/84=24",
"51+24=75"
] | Current State: 75:[48, 84, 51, 42], Operations: []
Exploring Operation: 48*42=2016, Resulting Numbers: [84, 51, 2016]
Generated Node #2: [84, 51, 2016] from Operation: 48*42=2016
Current State: 75:[84, 51, 2016], Operations: ['48*42=2016']
Exploring Operation: 2016/84=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 2016/84=24
Current State: 75:[51, 24], Operations: ['48*42=2016', '2016/84=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[48, 84, 51, 42], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [84, 42, 3]
Generated Node #0,0: 75:[84, 42, 3] Operation: 51-48=3
Moving to Node #0,0
Current State: 75:[84, 42, 3], Operations: ['51-48=3']
Exploring Operation: 84/42=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 75:[3, 2] Operation: 84/42=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[3, 2], Operations: ['51-48=3', '84/42=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,75 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 |
[
75,
85,
30,
33
] | 36 | [
"85-75=10",
"30/10=3",
"33+3=36"
] | Current State: 36:[75, 85, 30, 33], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [30, 33, 10]
Generated Node #2: [30, 33, 10] from Operation: 85-75=10
Current State: 36:[30, 33, 10], Operations: ['85-75=10']
Exploring Operation: 30/10=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 30/10=3
Current State: 36:[33, 3], Operations: ['85-75=10', '30/10=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[75, 85, 30, 33], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [30, 33, 10]
Generated Node #0,0: 36:[30, 33, 10] Operation: 85-75=10
Moving to Node #0,0
Current State: 36:[30, 33, 10], Operations: ['85-75=10']
Exploring Operation: 33-30=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 36:[10, 3] Operation: 33-30=3
Moving to Node #0,0,0
Current State: 36:[10, 3], Operations: ['85-75=10', '33-30=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,36 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
49,
14,
26,
12
] | 55 | [
"49*14=686",
"686-26=660",
"660/12=55"
] | Current State: 55:[49, 14, 26, 12], Operations: []
Exploring Operation: 49*14=686, Resulting Numbers: [26, 12, 686]
Generated Node #2: [26, 12, 686] from Operation: 49*14=686
Current State: 55:[26, 12, 686], Operations: ['49*14=686']
Exploring Operation: 686-26=660, Resulting Numbers: [12, 660]
Generated Node #3: [12, 660] from Operation: 686-26=660
Current State: 55:[12, 660], Operations: ['49*14=686', '686-26=660']
Exploring Operation: 660/12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[49, 14, 26, 12], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [49, 12, 12]
Generated Node #0,0: 55:[49, 12, 12] Operation: 26-14=12
Exploring Operation: 26-12=14, Resulting Numbers: [49, 14, 14]
Generated Node #0,1: 55:[49, 14, 14] Operation: 26-12=14
Moving to Node #0,0
Current State: 55:[49, 12, 12], Operations: ['26-14=12']
Exploring Operation: 49+12=61, Resulting Numbers: [12, 61]
Generated Node #0,0,0: 55:[12, 61] Operation: 49+12=61
Exploring Operation: 49+12=61, Resulting Numbers: [12, 61]
Generated Node #0,0,1: 55:[12, 61] Operation: 49+12=61
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[12, 61], Operations: ['26-14=12', '49+12=61']
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,55 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,55 unequal: No Solution
No 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: 55:[12, 61], Operations: ['26-14=12', '49+12=61']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,55 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: 55:[49, 14, 14], Operations: ['26-12=14']
Exploring Operation: 49+14=63, Resulting Numbers: [14, 63]
Generated Node #0,1,0: 55:[14, 63] Operation: 49+14=63
Exploring Operation: 14/14=1, Resulting Numbers: [49, 1]
Generated Node #0,1,1: 55:[49, 1] Operation: 14/14=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[49, 1], Operations: ['26-12=14', '14/14=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,55 unequal: No Solution
No 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: 55:[14, 63], Operations: ['26-12=14', '49+14=63']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,55 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 |
[
70,
8,
80,
10
] | 90 | [
"80-70=10",
"8*10=80",
"10+80=90"
] | Current State: 90:[70, 8, 80, 10], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [8, 10, 10]
Generated Node #2: [8, 10, 10] from Operation: 80-70=10
Current State: 90:[8, 10, 10], Operations: ['80-70=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,90 equal: Goal Reached
Exploring Operation: 10+80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[70, 8, 80, 10], Operations: []
Exploring Operation: 70+10=80, Resulting Numbers: [8, 80, 80]
Generated Node #0,0: 90:[8, 80, 80] Operation: 70+10=80
Exploring Operation: 80/8=10, Resulting Numbers: [70, 10, 10]
Generated Node #0,1: 90:[70, 10, 10] Operation: 80/8=10
Exploring Operation: 80-70=10, Resulting Numbers: [8, 10, 10]
Generated Node #0,2: 90:[8, 10, 10] Operation: 80-70=10
Exploring Operation: 80+10=90, Resulting Numbers: [70, 8, 90]
Generated Node #0,3: 90:[70, 8, 90] Operation: 80+10=90
Exploring Operation: 70/10=7, Resulting Numbers: [8, 80, 7]
Generated Node #0,4: 90:[8, 80, 7] Operation: 70/10=7
Moving to Node #0,2
Current State: 90:[8, 10, 10], Operations: ['80-70=10']
Exploring Operation: 8+10=18, Resulting Numbers: [10, 18]
Generated Node #0,2,0: 90:[10, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [10, 2]
Generated Node #0,2,1: 90:[10, 2] Operation: 10-8=2
Exploring Operation: 8+10=18, Resulting Numbers: [10, 18]
Generated Node #0,2,2: 90:[10, 18] Operation: 8+10=18
Exploring Operation: 10/10=1, Resulting Numbers: [8, 1]
Generated Node #0,2,3: 90:[8, 1] Operation: 10/10=1
Exploring Operation: 10-8=2, Resulting Numbers: [10, 2]
Generated Node #0,2,4: 90:[10, 2] Operation: 10-8=2
Moving to Node #0,4
Current State: 90:[8, 80, 7], Operations: ['70/10=7']
Exploring Operation: 8+80=88, Resulting Numbers: [7, 88]
Generated Node #0,4,0: 90:[7, 88] Operation: 8+80=88
Exploring Operation: 8+7=15, Resulting Numbers: [80, 15]
Generated Node #0,4,1: 90:[80, 15] Operation: 8+7=15
Exploring Operation: 8-7=1, Resulting Numbers: [80, 1]
Generated Node #0,4,2: 90:[80, 1] Operation: 8-7=1
Exploring Operation: 80/8=10, Resulting Numbers: [7, 10]
Generated Node #0,4,3: 90:[7, 10] Operation: 80/8=10
Exploring Operation: 80+7=87, Resulting Numbers: [8, 87]
Generated Node #0,4,4: 90:[8, 87] Operation: 80+7=87
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 90:[7, 10], Operations: ['70/10=7', '80/8=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,90 unequal: No Solution
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,90 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 #0,4,0
Current State: 90:[7, 88], Operations: ['70/10=7', '8+80=88']
Exploring Operation: 7+88=95, Resulting Numbers: [95]
95,90 unequal: No Solution
Exploring Operation: 7*88=616, Resulting Numbers: [616]
616,90 unequal: No Solution
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,90 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 #0,4,4
Current State: 90:[8, 87], Operations: ['70/10=7', '80+7=87']
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,90 unequal: No Solution
Exploring Operation: 8*87=696, Resulting Numbers: [696]
696,90 unequal: No Solution
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,90 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 #0,4,1
Current State: 90:[80, 15], Operations: ['70/10=7', '8+7=15']
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,90 unequal: No Solution
Exploring Operation: 80+15=95, Resulting Numbers: [95]
95,90 unequal: No Solution
Exploring Operation: 80*15=1200, Resulting Numbers: [1200]
1200,90 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 #0,4,2
Current State: 90:[80, 1], Operations: ['70/10=7', '8-7=1']
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,90 unequal: No Solution
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,90 unequal: No Solution
Exploring Operation: 80/1=80, Resulting Numbers: [80]
80,90 unequal: No Solution
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,90 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:[70, 10, 10], Operations: ['80/8=10']
Exploring Operation: 70+10=80, Resulting Numbers: [10, 80]
Generated Node #0,1,0: 90:[10, 80] Operation: 70+10=80
Exploring Operation: 70+10=80, Resulting Numbers: [10, 80]
Generated Node #0,1,1: 90:[10, 80] Operation: 70+10=80
Exploring Operation: 70-10=60, Resulting Numbers: [10, 60]
Generated Node #0,1,2: 90:[10, 60] Operation: 70-10=60
Exploring Operation: 70/10=7, Resulting Numbers: [10, 7]
Generated Node #0,1,3: 90:[10, 7] Operation: 70/10=7
Exploring Operation: 70/10=7, Resulting Numbers: [10, 7]
Generated Node #0,1,4: 90:[10, 7] Operation: 70/10=7
Moving to Node #0,0
Current State: 90:[8, 80, 80], Operations: ['70+10=80']
Exploring Operation: 8+80=88, Resulting Numbers: [80, 88]
Generated Node #0,0,0: 90:[80, 88] Operation: 8+80=88
Exploring Operation: 80/8=10, Resulting Numbers: [80, 10]
Generated Node #0,0,1: 90:[80, 10] Operation: 80/8=10
Exploring Operation: 80/8=10, Resulting Numbers: [80, 10]
Generated Node #0,0,2: 90:[80, 10] Operation: 80/8=10
Exploring Operation: 80-80=0, Resulting Numbers: [8, 0]
Generated Node #0,0,3: 90:[8, 0] Operation: 80-80=0
Exploring Operation: 80/80=1, Resulting Numbers: [8, 1]
Generated Node #0,0,4: 90:[8, 1] Operation: 80/80=1
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 90:[8, 1], Operations: ['70+10=80', '80/80=1']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,90 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 #0,0,3
Current State: 90:[8, 0], Operations: ['70+10=80', '80-80=0']
Exploring Operation: 8*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 8+0=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 8-0=8, Resulting Numbers: [8]
8,90 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:[80, 10], Operations: ['70+10=80', '80/8=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,90 unequal: No Solution
Exploring Operation: 80*10=800, Resulting Numbers: [800]
800,90 unequal: No Solution
Exploring Operation: 80/10=8, Resulting Numbers: [8]
8,90 unequal: No Solution
Exploring Operation: 80+10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[70, 8, 80, 10], Operations: []
Exploring Operation: 70+10=80, Resulting Numbers: [8, 80, 80]
Generated Node #0,0: 90:[8, 80, 80] Operation: 70+10=80
Moving to Node #0,0
Current State: 90:[8, 80, 80], Operations: ['70+10=80']
Exploring Operation: 80/8=10, Resulting Numbers: [80, 10]
Generated Node #0,0,1: 90:[80, 10] Operation: 80/8=10
Moving to Node #0,0,1
Current State: 90:[80, 10], Operations: ['70+10=80', '80/8=10']
Exploring Operation: 80+10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.951389 | hs_5 | sum_heuristic |
[
6,
15,
16,
6
] | 70 | [
"15-6=9",
"6*9=54",
"16+54=70"
] | Current State: 70:[6, 15, 16, 6], Operations: []
Exploring Operation: 15-6=9, Resulting Numbers: [16, 9]
Generated Node #2: [16, 9] from Operation: 15-6=9
Current State: 70:[16, 9], Operations: ['15-6=9']
Exploring Operation: 6*9=54, Resulting Numbers: [16, 54]
Generated Node #3: [16, 54] from Operation: 6*9=54
Current State: 70:[16, 54], Operations: ['15-6=9', '6*9=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[6, 15, 16, 6], Operations: []
Exploring Operation: 16-15=1, Resulting Numbers: [6, 6, 1]
Generated Node #0,0: 70:[6, 6, 1] Operation: 16-15=1
Exploring Operation: 6*6=36, Resulting Numbers: [15, 16, 36]
Generated Node #0,1: 70:[15, 16, 36] Operation: 6*6=36
Exploring Operation: 15-6=9, Resulting Numbers: [16, 6, 9]
Generated Node #0,2: 70:[16, 6, 9] Operation: 15-6=9
Exploring Operation: 16-6=10, Resulting Numbers: [15, 6, 10]
Generated Node #0,3: 70:[15, 6, 10] Operation: 16-6=10
Exploring Operation: 16-6=10, Resulting Numbers: [6, 15, 10]
Generated Node #0,4: 70:[6, 15, 10] Operation: 16-6=10
Moving to Node #0,3
Current State: 70:[15, 6, 10], Operations: ['16-6=10']
Exploring Operation: 15-6=9, Resulting Numbers: [10, 9]
Generated Node #0,3,0: 70:[10, 9] Operation: 15-6=9
Exploring Operation: 15-10=5, Resulting Numbers: [6, 5]
Generated Node #0,3,1: 70:[6, 5] Operation: 15-10=5
Exploring Operation: 6+10=16, Resulting Numbers: [15, 16]
Generated Node #0,3,2: 70:[15, 16] Operation: 6+10=16
Exploring Operation: 15+6=21, Resulting Numbers: [10, 21]
Generated Node #0,3,3: 70:[10, 21] Operation: 15+6=21
Exploring Operation: 10-6=4, Resulting Numbers: [15, 4]
Generated Node #0,3,4: 70:[15, 4] Operation: 10-6=4
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[10, 9], Operations: ['16-6=10', '15-6=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,70 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[6, 5], Operations: ['16-6=10', '15-10=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 70:[15, 4], Operations: ['16-6=10', '10-6=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,70 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 70:[15, 16], Operations: ['16-6=10', '6+10=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[10, 21], Operations: ['16-6=10', '15+6=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,70 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: 70:[6, 15, 10], Operations: ['16-6=10']
Exploring Operation: 15-6=9, Resulting Numbers: [10, 9]
Generated Node #0,4,0: 70:[10, 9] Operation: 15-6=9
Exploring Operation: 6+15=21, Resulting Numbers: [10, 21]
Generated Node #0,4,1: 70:[10, 21] Operation: 6+15=21
Exploring Operation: 10-6=4, Resulting Numbers: [15, 4]
Generated Node #0,4,2: 70:[15, 4] Operation: 10-6=4
Exploring Operation: 15-10=5, Resulting Numbers: [6, 5]
Generated Node #0,4,3: 70:[6, 5] Operation: 15-10=5
Exploring Operation: 6+10=16, Resulting Numbers: [15, 16]
Generated Node #0,4,4: 70:[15, 16] Operation: 6+10=16
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 70:[10, 9], Operations: ['16-6=10', '15-6=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 70:[6, 5], Operations: ['16-6=10', '15-10=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 70:[15, 4], Operations: ['16-6=10', '10-6=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,70 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 70:[15, 16], Operations: ['16-6=10', '6+10=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,70 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 70:[10, 21], Operations: ['16-6=10', '6+15=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,70 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,70 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: 70:[6, 6, 1], Operations: ['16-15=1']
Exploring Operation: 6*6=36, Resulting Numbers: [1, 36]
Generated Node #0,0,0: 70:[1, 36] Operation: 6*6=36
Exploring Operation: 6+1=7, Resulting Numbers: [6, 7]
Generated Node #0,0,1: 70:[6, 7] Operation: 6+1=7
Exploring Operation: 6+1=7, Resulting Numbers: [6, 7]
Generated Node #0,0,2: 70:[6, 7] Operation: 6+1=7
Exploring Operation: 6-1=5, Resulting Numbers: [6, 5]
Generated Node #0,0,3: 70:[6, 5] Operation: 6-1=5
Exploring Operation: 6-1=5, Resulting Numbers: [6, 5]
Generated Node #0,0,4: 70:[6, 5] Operation: 6-1=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[6, 7], Operations: ['16-15=1', '6+1=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[6, 7], Operations: ['16-15=1', '6+1=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[6, 5], Operations: ['16-15=1', '6-1=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 70:[6, 5], Operations: ['16-15=1', '6-1=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[1, 36], Operations: ['16-15=1', '6*6=36']
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,70 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: 70:[15, 16, 36], Operations: ['6*6=36']
Exploring Operation: 15+36=51, Resulting Numbers: [16, 51]
Generated Node #0,1,0: 70:[16, 51] Operation: 15+36=51
Exploring Operation: 16-15=1, Resulting Numbers: [36, 1]
Generated Node #0,1,1: 70:[36, 1] Operation: 16-15=1
Exploring Operation: 15+16=31, Resulting Numbers: [36, 31]
Generated Node #0,1,2: 70:[36, 31] Operation: 15+16=31
Exploring Operation: 36-15=21, Resulting Numbers: [16, 21]
Generated Node #0,1,3: 70:[16, 21] Operation: 36-15=21
Exploring Operation: 36-16=20, Resulting Numbers: [15, 20]
Generated Node #0,1,4: 70:[15, 20] Operation: 36-16=20
Moving to Node #0,2
Current State: 70:[16, 6, 9], Operations: ['15-6=9']
Exploring Operation: 16-9=7, Resulting Numbers: [6, 7]
Generated Node #0,2,0: 70:[6, 7] Operation: 16-9=7
Exploring Operation: 16-6=10, Resulting Numbers: [9, 10]
Generated Node #0,2,1: 70:[9, 10] Operation: 16-6=10
Exploring Operation: 6+9=15, Resulting Numbers: [16, 15]
Generated Node #0,2,2: 70:[16, 15] Operation: 6+9=15
Exploring Operation: 16+6=22, Resulting Numbers: [9, 22]
Generated Node #0,2,3: 70:[9, 22] Operation: 16+6=22
Exploring Operation: 9-6=3, Resulting Numbers: [16, 3]
Generated Node #0,2,4: 70:[16, 3] Operation: 9-6=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 70:[6, 7], Operations: ['15-6=9', '16-9=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 70:[9, 10], Operations: ['15-6=9', '16-6=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,70 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 70:[16, 15], Operations: ['15-6=9', '6+9=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 70:[16, 3], Operations: ['15-6=9', '9-6=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,70 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 70:[9, 22], Operations: ['15-6=9', '16+6=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,70 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 70:[36, 1], Operations: ['6*6=36', '16-15=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[36, 31], Operations: ['6*6=36', '15+16=31']
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Exploring Operation: 36*31=1116, Resulting Numbers: [1116]
1116,70 unequal: No Solution
Moving to Node #0,1,4
Current State: 70:[15, 20], Operations: ['6*6=36', '36-16=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,70 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Moving to Node #0,1,3
Current State: 70:[16, 21], Operations: ['6*6=36', '36-15=21']
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,70 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[16, 51], Operations: ['6*6=36', '15+36=51']
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,70 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,70 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
35,
52,
4,
90
] | 69 | [
"52-35=17",
"90-4=86",
"86-17=69"
] | Current State: 69:[35, 52, 4, 90], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [4, 90, 17]
Generated Node #2: [4, 90, 17] from Operation: 52-35=17
Current State: 69:[4, 90, 17], Operations: ['52-35=17']
Exploring Operation: 90-4=86, Resulting Numbers: [17, 86]
Generated Node #3: [17, 86] from Operation: 90-4=86
Current State: 69:[17, 86], Operations: ['52-35=17', '90-4=86']
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[35, 52, 4, 90], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [35, 4, 38]
Generated Node #0,0: 69:[35, 4, 38] Operation: 90-52=38
Exploring Operation: 90-35=55, Resulting Numbers: [52, 4, 55]
Generated Node #0,1: 69:[52, 4, 55] Operation: 90-35=55
Exploring Operation: 52-35=17, Resulting Numbers: [4, 90, 17]
Generated Node #0,2: 69:[4, 90, 17] Operation: 52-35=17
Exploring Operation: 35+52=87, Resulting Numbers: [4, 90, 87]
Generated Node #0,3: 69:[4, 90, 87] Operation: 35+52=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[35, 4, 38], Operations: ['90-52=38']
Exploring Operation: 35-4=31, Resulting Numbers: [38, 31]
Generated Node #0,0,0: 69:[38, 31] Operation: 35-4=31
Exploring Operation: 35+38=73, Resulting Numbers: [4, 73]
Generated Node #0,0,1: 69:[4, 73] Operation: 35+38=73
Exploring Operation: 38-4=34, Resulting Numbers: [35, 34]
Generated Node #0,0,2: 69:[35, 34] Operation: 38-4=34
Exploring Operation: 38-35=3, Resulting Numbers: [4, 3]
Generated Node #0,0,3: 69:[4, 3] Operation: 38-35=3
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 69:[4, 3], Operations: ['90-52=38', '38-35=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[4, 73], Operations: ['90-52=38', '35+38=73']
Exploring Operation: 4+73=77, Resulting Numbers: [77]
77,69 unequal: No Solution
Exploring Operation: 4*73=292, Resulting Numbers: [292]
292,69 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[35, 52, 4, 90], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [35, 4, 38]
Generated Node #0,0: 69:[35, 4, 38] Operation: 90-52=38
Moving to Node #0,0
Current State: 69:[35, 4, 38], Operations: ['90-52=38']
Exploring Operation: 35+38=73, Resulting Numbers: [4, 73]
Generated Node #0,0,1: 69:[4, 73] Operation: 35+38=73
Moving to Node #0,0,1
Current State: 69:[4, 73], Operations: ['90-52=38', '35+38=73']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
54,
44,
20,
43
] | 45 | [
"54-44=10",
"20/10=2",
"43+2=45"
] | Current State: 45:[54, 44, 20, 43], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [20, 43, 10]
Generated Node #2: [20, 43, 10] from Operation: 54-44=10
Current State: 45:[20, 43, 10], Operations: ['54-44=10']
Exploring Operation: 20/10=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 20/10=2
Current State: 45:[43, 2], Operations: ['54-44=10', '20/10=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[54, 44, 20, 43], Operations: []
Exploring Operation: 54-20=34, Resulting Numbers: [44, 43, 34]
Generated Node #0,0: 45:[44, 43, 34] Operation: 54-20=34
Exploring Operation: 54-44=10, Resulting Numbers: [20, 43, 10]
Generated Node #0,1: 45:[20, 43, 10] Operation: 54-44=10
Exploring Operation: 54-43=11, Resulting Numbers: [44, 20, 11]
Generated Node #0,2: 45:[44, 20, 11] Operation: 54-43=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[20, 43, 10], Operations: ['54-44=10']
Exploring Operation: 20/10=2, Resulting Numbers: [43, 2]
Generated Node #0,1,0: 45:[43, 2] Operation: 20/10=2
Exploring Operation: 43-20=23, Resulting Numbers: [10, 23]
Generated Node #0,1,1: 45:[10, 23] Operation: 43-20=23
Exploring Operation: 20-10=10, Resulting Numbers: [43, 10]
Generated Node #0,1,2: 45:[43, 10] Operation: 20-10=10
Moving to Node #0,1,0
Current State: 45:[43, 2], Operations: ['54-44=10', '20/10=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,45 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[54, 44, 20, 43], Operations: []
Exploring Operation: 54-44=10, Resulting Numbers: [20, 43, 10]
Generated Node #0,1: 45:[20, 43, 10] Operation: 54-44=10
Moving to Node #0,1
Current State: 45:[20, 43, 10], Operations: ['54-44=10']
Exploring Operation: 20/10=2, Resulting Numbers: [43, 2]
Generated Node #0,1,0: 45:[43, 2] Operation: 20/10=2
Moving to Node #0,1,0
Current State: 45:[43, 2], Operations: ['54-44=10', '20/10=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
64,
63,
56,
67
] | 77 | [
"67-64=3",
"63/3=21",
"56+21=77"
] | Current State: 77:[64, 63, 56, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [63, 56, 3]
Generated Node #2: [63, 56, 3] from Operation: 67-64=3
Current State: 77:[63, 56, 3], Operations: ['67-64=3']
Exploring Operation: 63/3=21, Resulting Numbers: [56, 21]
Generated Node #3: [56, 21] from Operation: 63/3=21
Current State: 77:[56, 21], Operations: ['67-64=3', '63/3=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[64, 63, 56, 67], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [64, 63, 11]
Generated Node #0,0: 77:[64, 63, 11] Operation: 67-56=11
Exploring Operation: 67-63=4, Resulting Numbers: [64, 56, 4]
Generated Node #0,1: 77:[64, 56, 4] Operation: 67-63=4
Exploring Operation: 64-56=8, Resulting Numbers: [63, 67, 8]
Generated Node #0,2: 77:[63, 67, 8] Operation: 64-56=8
Exploring Operation: 63-56=7, Resulting Numbers: [64, 67, 7]
Generated Node #0,3: 77:[64, 67, 7] Operation: 63-56=7
Exploring Operation: 64-63=1, Resulting Numbers: [56, 67, 1]
Generated Node #0,4: 77:[56, 67, 1] Operation: 64-63=1
Moving to Node #0,3
Current State: 77:[64, 67, 7], Operations: ['63-56=7']
Exploring Operation: 64+7=71, Resulting Numbers: [67, 71]
Generated Node #0,3,0: 77:[67, 71] Operation: 64+7=71
Exploring Operation: 67-7=60, Resulting Numbers: [64, 60]
Generated Node #0,3,1: 77:[64, 60] Operation: 67-7=60
Exploring Operation: 67-64=3, Resulting Numbers: [7, 3]
Generated Node #0,3,2: 77:[7, 3] Operation: 67-64=3
Exploring Operation: 67+7=74, Resulting Numbers: [64, 74]
Generated Node #0,3,3: 77:[64, 74] Operation: 67+7=74
Exploring Operation: 64-7=57, Resulting Numbers: [67, 57]
Generated Node #0,3,4: 77:[67, 57] Operation: 64-7=57
Moving to Node #0,2
Current State: 77:[63, 67, 8], Operations: ['64-56=8']
Exploring Operation: 63-8=55, Resulting Numbers: [67, 55]
Generated Node #0,2,0: 77:[67, 55] Operation: 63-8=55
Exploring Operation: 67-8=59, Resulting Numbers: [63, 59]
Generated Node #0,2,1: 77:[63, 59] Operation: 67-8=59
Exploring Operation: 63+8=71, Resulting Numbers: [67, 71]
Generated Node #0,2,2: 77:[67, 71] Operation: 63+8=71
Exploring Operation: 67+8=75, Resulting Numbers: [63, 75]
Generated Node #0,2,3: 77:[63, 75] Operation: 67+8=75
Exploring Operation: 67-63=4, Resulting Numbers: [8, 4]
Generated Node #0,2,4: 77:[8, 4] Operation: 67-63=4
Moving to Node #0,0
Current State: 77:[64, 63, 11], Operations: ['67-56=11']
Exploring Operation: 64+11=75, Resulting Numbers: [63, 75]
Generated Node #0,0,0: 77:[63, 75] Operation: 64+11=75
Exploring Operation: 63-11=52, Resulting Numbers: [64, 52]
Generated Node #0,0,1: 77:[64, 52] Operation: 63-11=52
Exploring Operation: 64-11=53, Resulting Numbers: [63, 53]
Generated Node #0,0,2: 77:[63, 53] Operation: 64-11=53
Exploring Operation: 64-63=1, Resulting Numbers: [11, 1]
Generated Node #0,0,3: 77:[11, 1] Operation: 64-63=1
Exploring Operation: 63+11=74, Resulting Numbers: [64, 74]
Generated Node #0,0,4: 77:[64, 74] Operation: 63+11=74
Moving to Node #0,1
Current State: 77:[64, 56, 4], Operations: ['67-63=4']
Exploring Operation: 64-56=8, Resulting Numbers: [4, 8]
Generated Node #0,1,0: 77:[4, 8] Operation: 64-56=8
Exploring Operation: 56+4=60, Resulting Numbers: [64, 60]
Generated Node #0,1,1: 77:[64, 60] Operation: 56+4=60
Exploring Operation: 56/4=14, Resulting Numbers: [64, 14]
Generated Node #0,1,2: 77:[64, 14] Operation: 56/4=14
Exploring Operation: 64+4=68, Resulting Numbers: [56, 68]
Generated Node #0,1,3: 77:[56, 68] Operation: 64+4=68
Exploring Operation: 64/4=16, Resulting Numbers: [56, 16]
Generated Node #0,1,4: 77:[56, 16] Operation: 64/4=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[4, 8], Operations: ['67-63=4', '64-56=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,77 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 #0,1,2
Current State: 77:[64, 14], Operations: ['67-63=4', '56/4=14']
Exploring Operation: 64*14=896, Resulting Numbers: [896]
896,77 unequal: No Solution
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,77 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 #0,1,4
Current State: 77:[56, 16], Operations: ['67-63=4', '64/4=16']
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,77 unequal: No Solution
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,77 unequal: No Solution
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,77 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 #0,1,1
Current State: 77:[64, 60], Operations: ['67-63=4', '56+4=60']
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,77 unequal: No Solution
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,77 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,77 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 #0,1,3
Current State: 77:[56, 68], Operations: ['67-63=4', '64+4=68']
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,77 unequal: No Solution
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,77 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: 77:[56, 67, 1], Operations: ['64-63=1']
Exploring Operation: 56/1=56, Resulting Numbers: [67, 56]
Generated Node #0,4,0: 77:[67, 56] Operation: 56/1=56
Exploring Operation: 67-56=11, Resulting Numbers: [1, 11]
Generated Node #0,4,1: 77:[1, 11] Operation: 67-56=11
Exploring Operation: 56*1=56, Resulting Numbers: [67, 56]
Generated Node #0,4,2: 77:[67, 56] Operation: 56*1=56
Exploring Operation: 56+1=57, Resulting Numbers: [67, 57]
Generated Node #0,4,3: 77:[67, 57] Operation: 56+1=57
Exploring Operation: 67+1=68, Resulting Numbers: [56, 68]
Generated Node #0,4,4: 77:[56, 68] Operation: 67+1=68
Moving to Node #0,3,2
Current State: 77:[7, 3], Operations: ['63-56=7', '67-64=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Moving to Node #0,2,4
Current State: 77:[8, 4], Operations: ['64-56=8', '67-63=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[11, 1], Operations: ['67-56=11', '64-63=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Moving to Node #0,4,1
Current State: 77:[1, 11], Operations: ['64-63=1', '67-56=11']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[67, 71], Operations: ['64-56=8', '63+8=71']
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 67*71=4757, Resulting Numbers: [4757]
4757,77 unequal: No Solution
Exploring Operation: 67+71=138, Resulting Numbers: [138]
138,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[64, 74], Operations: ['63-56=7', '67+7=74']
Exploring Operation: 64*74=4736, Resulting Numbers: [4736]
4736,77 unequal: No Solution
Exploring Operation: 64+74=138, Resulting Numbers: [138]
138,77 unequal: No Solution
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Moving to Node #0,0,4
Current State: 77:[64, 74], Operations: ['67-56=11', '63+11=74']
Exploring Operation: 64*74=4736, Resulting Numbers: [4736]
4736,77 unequal: No Solution
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 64+74=138, Resulting Numbers: [138]
138,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[63, 75], Operations: ['67-56=11', '64+11=75']
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,77 unequal: No Solution
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,77 unequal: No Solution
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[67, 71], Operations: ['63-56=7', '64+7=71']
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 67*71=4757, Resulting Numbers: [4757]
4757,77 unequal: No Solution
Exploring Operation: 67+71=138, Resulting Numbers: [138]
138,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[63, 75], Operations: ['64-56=8', '67+8=75']
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,77 unequal: No Solution
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,77 unequal: No Solution
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[64, 60], Operations: ['63-56=7', '67-7=60']
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,77 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,77 unequal: No Solution
Moving to Node #0,3,4
Current State: 77:[67, 57], Operations: ['63-56=7', '64-7=57']
Exploring Operation: 67-57=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 67*57=3819, Resulting Numbers: [3819]
3819,77 unequal: No Solution
Exploring Operation: 67+57=124, Resulting Numbers: [124]
124,77 unequal: No Solution
Moving to Node #0,4,4
Current State: 77:[56, 68], Operations: ['64-63=1', '67+1=68']
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,77 unequal: No Solution
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,77 unequal: No Solution
Moving to Node #0,4,3
Current State: 77:[67, 57], Operations: ['64-63=1', '56+1=57']
Exploring Operation: 67-57=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 67*57=3819, Resulting Numbers: [3819]
3819,77 unequal: No Solution
Exploring Operation: 67+57=124, Resulting Numbers: [124]
124,77 unequal: No Solution
Moving to Node #0,4,0
Current State: 77:[67, 56], Operations: ['64-63=1', '56/1=56']
Exploring Operation: 67*56=3752, Resulting Numbers: [3752]
3752,77 unequal: No Solution
Exploring Operation: 67+56=123, Resulting Numbers: [123]
123,77 unequal: No Solution
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Moving to Node #0,4,2
Current State: 77:[67, 56], Operations: ['64-63=1', '56*1=56']
Exploring Operation: 67+56=123, Resulting Numbers: [123]
123,77 unequal: No Solution
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 67*56=3752, Resulting Numbers: [3752]
3752,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[67, 55], Operations: ['64-56=8', '63-8=55']
Exploring Operation: 67+55=122, Resulting Numbers: [122]
122,77 unequal: No Solution
Exploring Operation: 67-55=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 67*55=3685, Resulting Numbers: [3685]
3685,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[63, 59], Operations: ['64-56=8', '67-8=59']
Exploring Operation: 63*59=3717, Resulting Numbers: [3717]
3717,77 unequal: No Solution
Exploring Operation: 63+59=122, Resulting Numbers: [122]
122,77 unequal: No Solution
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[63, 53], Operations: ['67-56=11', '64-11=53']
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,77 unequal: No Solution
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,77 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[64, 52], Operations: ['67-56=11', '63-11=52']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 64*52=3328, Resulting Numbers: [3328]
3328,77 unequal: No Solution
Exploring Operation: 64+52=116, Resulting Numbers: [116]
116,77 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
30,
44,
9,
7
] | 89 | [
"44-30=14",
"7*14=98",
"98-9=89"
] | Current State: 89:[30, 44, 9, 7], Operations: []
Exploring Operation: 44-30=14, Resulting Numbers: [9, 7, 14]
Generated Node #2: [9, 7, 14] from Operation: 44-30=14
Current State: 89:[9, 7, 14], Operations: ['44-30=14']
Exploring Operation: 7*14=98, Resulting Numbers: [9, 98]
Generated Node #3: [9, 98] from Operation: 7*14=98
Current State: 89:[9, 98], Operations: ['44-30=14', '7*14=98']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[30, 44, 9, 7], Operations: []
Exploring Operation: 9*7=63, Resulting Numbers: [30, 44, 63]
Generated Node #0,0: 89:[30, 44, 63] Operation: 9*7=63
Exploring Operation: 30+9=39, Resulting Numbers: [44, 7, 39]
Generated Node #0,1: 89:[44, 7, 39] Operation: 30+9=39
Exploring Operation: 30+44=74, Resulting Numbers: [9, 7, 74]
Generated Node #0,2: 89:[9, 7, 74] Operation: 30+44=74
Exploring Operation: 30+7=37, Resulting Numbers: [44, 9, 37]
Generated Node #0,3: 89:[44, 9, 37] Operation: 30+7=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[30, 44, 63], Operations: ['9*7=63']
Exploring Operation: 30+44=74, Resulting Numbers: [63, 74]
Generated Node #0,0,0: 89:[63, 74] Operation: 30+44=74
Exploring Operation: 44+63=107, Resulting Numbers: [30, 107]
Generated Node #0,0,1: 89:[30, 107] Operation: 44+63=107
Exploring Operation: 44-30=14, Resulting Numbers: [63, 14]
Generated Node #0,0,2: 89:[63, 14] Operation: 44-30=14
Exploring Operation: 30+63=93, Resulting Numbers: [44, 93]
Generated Node #0,0,3: 89:[44, 93] Operation: 30+63=93
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[63, 74], Operations: ['9*7=63', '30+44=74']
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 63+74=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 63*74=4662, Resulting Numbers: [4662]
4662,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 89:[44, 93], Operations: ['9*7=63', '30+63=93']
Exploring Operation: 44*93=4092, Resulting Numbers: [4092]
4092,89 unequal: No Solution
Exploring Operation: 44+93=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[30, 107], Operations: ['9*7=63', '44+63=107']
Exploring Operation: 30*107=3210, Resulting Numbers: [3210]
3210,89 unequal: No Solution
Exploring Operation: 30+107=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 107-30=77, Resulting Numbers: [77]
77,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[63, 14], Operations: ['9*7=63', '44-30=14']
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,89 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,89 unequal: No Solution
Exploring Operation: 63*14=882, Resulting Numbers: [882]
882,89 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: 89:[44, 7, 39], Operations: ['30+9=39']
Exploring Operation: 44+39=83, Resulting Numbers: [7, 83]
Generated Node #0,1,0: 89:[7, 83] Operation: 44+39=83
Exploring Operation: 44-7=37, Resulting Numbers: [39, 37]
Generated Node #0,1,1: 89:[39, 37] Operation: 44-7=37
Exploring Operation: 7+39=46, Resulting Numbers: [44, 46]
Generated Node #0,1,2: 89:[44, 46] Operation: 7+39=46
Exploring Operation: 44+7=51, Resulting Numbers: [39, 51]
Generated Node #0,1,3: 89:[39, 51] Operation: 44+7=51
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[7, 83], Operations: ['30+9=39', '44+39=83']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 7*83=581, Resulting Numbers: [581]
581,89 unequal: No Solution
Exploring Operation: 7+83=90, Resulting Numbers: [90]
90,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[44, 46], Operations: ['30+9=39', '7+39=46']
Exploring Operation: 44*46=2024, Resulting Numbers: [2024]
2024,89 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 89:[39, 51], Operations: ['30+9=39', '44+7=51']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,89 unequal: No Solution
Exploring Operation: 39+51=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 39*51=1989, Resulting Numbers: [1989]
1989,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[39, 37], Operations: ['30+9=39', '44-7=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 39*37=1443, Resulting Numbers: [1443]
1443,89 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: 89:[9, 7, 74], Operations: ['30+44=74']
Exploring Operation: 9+74=83, Resulting Numbers: [7, 83]
Generated Node #0,2,0: 89:[7, 83] Operation: 9+74=83
Exploring Operation: 9*7=63, Resulting Numbers: [74, 63]
Generated Node #0,2,1: 89:[74, 63] Operation: 9*7=63
Exploring Operation: 7+74=81, Resulting Numbers: [9, 81]
Generated Node #0,2,2: 89:[9, 81] Operation: 7+74=81
Exploring Operation: 9+7=16, Resulting Numbers: [74, 16]
Generated Node #0,2,3: 89:[74, 16] Operation: 9+7=16
Moving to Node #0,2,1
Current State: 89:[74, 63], Operations: ['30+44=74', '9*7=63']
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 74*63=4662, Resulting Numbers: [4662]
4662,89 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[9, 81], Operations: ['30+44=74', '7+74=81']
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,89 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,89 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[7, 83], Operations: ['30+44=74', '9+74=83']
Exploring Operation: 7+83=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 7*83=581, Resulting Numbers: [581]
581,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[74, 16], Operations: ['30+44=74', '9+7=16']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,89 unequal: No Solution
Exploring Operation: 74*16=1184, Resulting Numbers: [1184]
1184,89 unequal: No Solution
Exploring Operation: 74+16=90, Resulting Numbers: [90]
90,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[44, 9, 37], Operations: ['30+7=37']
Exploring Operation: 9+37=46, Resulting Numbers: [44, 46]
Generated Node #0,3,0: 89:[44, 46] Operation: 9+37=46
Exploring Operation: 44+9=53, Resulting Numbers: [37, 53]
Generated Node #0,3,1: 89:[37, 53] Operation: 44+9=53
Exploring Operation: 44-9=35, Resulting Numbers: [37, 35]
Generated Node #0,3,2: 89:[37, 35] Operation: 44-9=35
Exploring Operation: 44+37=81, Resulting Numbers: [9, 81]
Generated Node #0,3,3: 89:[9, 81] Operation: 44+37=81
Moving to Node #0,3,0
Current State: 89:[44, 46], Operations: ['30+7=37', '9+37=46']
Exploring Operation: 44*46=2024, Resulting Numbers: [2024]
2024,89 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[9, 81], Operations: ['30+7=37', '44+37=81']
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,89 unequal: No Solution
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[37, 53], Operations: ['30+7=37', '44+9=53']
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,89 unequal: No Solution
Exploring Operation: 37+53=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 37*53=1961, Resulting Numbers: [1961]
1961,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[37, 35], Operations: ['30+7=37', '44-9=35']
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,89 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,89 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 |
[
11,
6,
13,
54
] | 96 | [
"13-11=2",
"54-6=48",
"2*48=96"
] | Current State: 96:[11, 6, 13, 54], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [6, 54, 2]
Generated Node #2: [6, 54, 2] from Operation: 13-11=2
Current State: 96:[6, 54, 2], Operations: ['13-11=2']
Exploring Operation: 54-6=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 54-6=48
Current State: 96:[2, 48], Operations: ['13-11=2', '54-6=48']
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[11, 6, 13, 54], Operations: []
Exploring Operation: 54-6=48, Resulting Numbers: [11, 13, 48]
Generated Node #0,0: 96:[11, 13, 48] Operation: 54-6=48
Moving to Node #0,0
Current State: 96:[11, 13, 48], Operations: ['54-6=48']
Exploring Operation: 11+13=24, Resulting Numbers: [48, 24]
Generated Node #0,0,0: 96:[48, 24] Operation: 11+13=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[48, 24], Operations: ['54-6=48', '11+13=24']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
63,
75,
57,
30
] | 99 | [
"75-63=12",
"57+30=87",
"12+87=99"
] | Current State: 99:[63, 75, 57, 30], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [57, 30, 12]
Generated Node #2: [57, 30, 12] from Operation: 75-63=12
Current State: 99:[57, 30, 12], Operations: ['75-63=12']
Exploring Operation: 57+30=87, Resulting Numbers: [12, 87]
Generated Node #3: [12, 87] from Operation: 57+30=87
Current State: 99:[12, 87], Operations: ['75-63=12', '57+30=87']
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[63, 75, 57, 30], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [57, 30, 12]
Generated Node #0,0: 99:[57, 30, 12] Operation: 75-63=12
Moving to Node #0,0
Current State: 99:[57, 30, 12], Operations: ['75-63=12']
Exploring Operation: 57-30=27, Resulting Numbers: [12, 27]
Generated Node #0,0,0: 99:[12, 27] Operation: 57-30=27
Moving to Node #0,0,0
Current State: 99:[12, 27], Operations: ['75-63=12', '57-30=27']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,99 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
71,
79,
16,
2
] | 83 | [
"71+79=150",
"16+150=166",
"166/2=83"
] | Current State: 83:[71, 79, 16, 2], Operations: []
Exploring Operation: 71+79=150, Resulting Numbers: [16, 2, 150]
Generated Node #2: [16, 2, 150] from Operation: 71+79=150
Current State: 83:[16, 2, 150], Operations: ['71+79=150']
Exploring Operation: 16+150=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 16+150=166
Current State: 83:[2, 166], Operations: ['71+79=150', '16+150=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[71, 79, 16, 2], Operations: []
Exploring Operation: 16*2=32, Resulting Numbers: [71, 79, 32]
Generated Node #0,0: 83:[71, 79, 32] Operation: 16*2=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[71, 79, 32], Operations: ['16*2=32']
Exploring Operation: 71+32=103, Resulting Numbers: [79, 103]
Generated Node #0,0,0: 83:[79, 103] Operation: 71+32=103
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[79, 103], Operations: ['16*2=32', '71+32=103']
Exploring Operation: 103-79=24, Resulting Numbers: [24]
24,83 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_1 | mult_heuristic |
[
10,
31,
87,
86
] | 22 | [
"31-10=21",
"87-86=1",
"21+1=22"
] | Current State: 22:[10, 31, 87, 86], Operations: []
Exploring Operation: 31-10=21, Resulting Numbers: [87, 86, 21]
Generated Node #2: [87, 86, 21] from Operation: 31-10=21
Current State: 22:[87, 86, 21], Operations: ['31-10=21']
Exploring Operation: 87-86=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 87-86=1
Current State: 22:[21, 1], Operations: ['31-10=21', '87-86=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[10, 31, 87, 86], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [10, 86, 56]
Generated Node #0,0: 22:[10, 86, 56] Operation: 87-31=56
Exploring Operation: 87-86=1, Resulting Numbers: [10, 31, 1]
Generated Node #0,1: 22:[10, 31, 1] Operation: 87-86=1
Exploring Operation: 86-31=55, Resulting Numbers: [10, 87, 55]
Generated Node #0,2: 22:[10, 87, 55] Operation: 86-31=55
Moving to Node #0,1
Current State: 22:[10, 31, 1], Operations: ['87-86=1']
Exploring Operation: 10+1=11, Resulting Numbers: [31, 11]
Generated Node #0,1,0: 22:[31, 11] Operation: 10+1=11
Exploring Operation: 31-1=30, Resulting Numbers: [10, 30]
Generated Node #0,1,1: 22:[10, 30] Operation: 31-1=30
Exploring Operation: 31-10=21, Resulting Numbers: [1, 21]
Generated Node #0,1,2: 22:[1, 21] Operation: 31-10=21
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 22:[1, 21], Operations: ['87-86=1', '31-10=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[10, 31, 87, 86], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [10, 31, 1]
Generated Node #0,1: 22:[10, 31, 1] Operation: 87-86=1
Moving to Node #0,1
Current State: 22:[10, 31, 1], Operations: ['87-86=1']
Exploring Operation: 31-10=21, Resulting Numbers: [1, 21]
Generated Node #0,1,2: 22:[1, 21] Operation: 31-10=21
Moving to Node #0,1,2
Current State: 22:[1, 21], Operations: ['87-86=1', '31-10=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
72,
27,
60,
11
] | 75 | [
"60-27=33",
"33/11=3",
"72+3=75"
] | Current State: 75:[72, 27, 60, 11], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [72, 11, 33]
Generated Node #2: [72, 11, 33] from Operation: 60-27=33
Current State: 75:[72, 11, 33], Operations: ['60-27=33']
Exploring Operation: 33/11=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 33/11=3
Current State: 75:[72, 3], Operations: ['60-27=33', '33/11=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[72, 27, 60, 11], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [72, 11, 33]
Generated Node #0,0: 75:[72, 11, 33] Operation: 60-27=33
Exploring Operation: 60+11=71, Resulting Numbers: [72, 27, 71]
Generated Node #0,1: 75:[72, 27, 71] Operation: 60+11=71
Exploring Operation: 72-60=12, Resulting Numbers: [27, 11, 12]
Generated Node #0,2: 75:[27, 11, 12] Operation: 72-60=12
Moving to Node #0,1
Current State: 75:[72, 27, 71], Operations: ['60+11=71']
Exploring Operation: 71-27=44, Resulting Numbers: [72, 44]
Generated Node #0,1,0: 75:[72, 44] Operation: 71-27=44
Exploring Operation: 72-27=45, Resulting Numbers: [71, 45]
Generated Node #0,1,1: 75:[71, 45] Operation: 72-27=45
Exploring Operation: 72-71=1, Resulting Numbers: [27, 1]
Generated Node #0,1,2: 75:[27, 1] Operation: 72-71=1
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[27, 1], Operations: ['60+11=71', '72-71=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[72, 44], Operations: ['60+11=71', '71-27=44']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 72+44=116, Resulting Numbers: [116]
116,75 unequal: No Solution
Exploring Operation: 72*44=3168, Resulting Numbers: [3168]
3168,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[71, 45], Operations: ['60+11=71', '72-27=45']
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 71+45=116, Resulting Numbers: [116]
116,75 unequal: No Solution
Exploring Operation: 71*45=3195, Resulting Numbers: [3195]
3195,75 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: 75:[27, 11, 12], Operations: ['72-60=12']
Exploring Operation: 11+12=23, Resulting Numbers: [27, 23]
Generated Node #0,2,0: 75:[27, 23] Operation: 11+12=23
Exploring Operation: 27-11=16, Resulting Numbers: [12, 16]
Generated Node #0,2,1: 75:[12, 16] Operation: 27-11=16
Exploring Operation: 27-12=15, Resulting Numbers: [11, 15]
Generated Node #0,2,2: 75:[11, 15] Operation: 27-12=15
Moving to Node #0,0
Current State: 75:[72, 11, 33], Operations: ['60-27=33']
Exploring Operation: 72+11=83, Resulting Numbers: [33, 83]
Generated Node #0,0,0: 75:[33, 83] Operation: 72+11=83
Exploring Operation: 33-11=22, Resulting Numbers: [72, 22]
Generated Node #0,0,1: 75:[72, 22] Operation: 33-11=22
Exploring Operation: 33/11=3, Resulting Numbers: [72, 3]
Generated Node #0,0,2: 75:[72, 3] Operation: 33/11=3
Moving to Node #0,0,2
Current State: 75:[72, 3], Operations: ['60-27=33', '33/11=3']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[72, 27, 60, 11], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [72, 11, 33]
Generated Node #0,0: 75:[72, 11, 33] Operation: 60-27=33
Moving to Node #0,0
Current State: 75:[72, 11, 33], Operations: ['60-27=33']
Exploring Operation: 33/11=3, Resulting Numbers: [72, 3]
Generated Node #0,0,2: 75:[72, 3] Operation: 33/11=3
Moving to Node #0,0,2
Current State: 75:[72, 3], Operations: ['60-27=33', '33/11=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
16,
31,
29,
50
] | 58 | [
"31-29=2",
"16/2=8",
"50+8=58"
] | Current State: 58:[16, 31, 29, 50], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [16, 50, 2]
Generated Node #2: [16, 50, 2] from Operation: 31-29=2
Current State: 58:[16, 50, 2], Operations: ['31-29=2']
Exploring Operation: 16/2=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 16/2=8
Current State: 58:[50, 8], Operations: ['31-29=2', '16/2=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[16, 31, 29, 50], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [31, 29, 34]
Generated Node #0,0: 58:[31, 29, 34] Operation: 50-16=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[31, 29, 34], Operations: ['50-16=34']
Exploring Operation: 34-31=3, Resulting Numbers: [29, 3]
Generated Node #0,0,0: 58:[29, 3] Operation: 34-31=3
Moving to Node #0,0,0
Current State: 58:[29, 3], Operations: ['50-16=34', '34-31=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
13,
8,
12,
36
] | 60 | [
"13*36=468",
"12+468=480",
"480/8=60"
] | Current State: 60:[13, 8, 12, 36], Operations: []
Exploring Operation: 13*36=468, Resulting Numbers: [8, 12, 468]
Generated Node #2: [8, 12, 468] from Operation: 13*36=468
Current State: 60:[8, 12, 468], Operations: ['13*36=468']
Exploring Operation: 12+468=480, Resulting Numbers: [8, 480]
Generated Node #3: [8, 480] from Operation: 12+468=480
Current State: 60:[8, 480], Operations: ['13*36=468', '12+468=480']
Exploring Operation: 480/8=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[13, 8, 12, 36], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [13, 12, 28]
Generated Node #0,0: 60:[13, 12, 28] Operation: 36-8=28
Moving to Node #0,0
Current State: 60:[13, 12, 28], Operations: ['36-8=28']
Exploring Operation: 28-13=15, Resulting Numbers: [12, 15]
Generated Node #0,0,0: 60:[12, 15] Operation: 28-13=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[12, 15], Operations: ['36-8=28', '28-13=15']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,60 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 |
[
81,
32,
67,
3
] | 10 | [
"81-67=14",
"3*14=42",
"42-32=10"
] | Current State: 10:[81, 32, 67, 3], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [32, 3, 14]
Generated Node #2: [32, 3, 14] from Operation: 81-67=14
Current State: 10:[32, 3, 14], Operations: ['81-67=14']
Exploring Operation: 3*14=42, Resulting Numbers: [32, 42]
Generated Node #3: [32, 42] from Operation: 3*14=42
Current State: 10:[32, 42], Operations: ['81-67=14', '3*14=42']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[81, 32, 67, 3], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [32, 3, 14]
Generated Node #0,0: 10:[32, 3, 14] Operation: 81-67=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[32, 3, 14], Operations: ['81-67=14']
Exploring Operation: 32-14=18, Resulting Numbers: [3, 18]
Generated Node #0,0,0: 10:[3, 18] Operation: 32-14=18
Moving to Node #0,0,0
Current State: 10:[3, 18], Operations: ['81-67=14', '32-14=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
17,
70,
84,
31
] | 62 | [
"70-17=53",
"84+31=115",
"115-53=62"
] | Current State: 62:[17, 70, 84, 31], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [84, 31, 53]
Generated Node #2: [84, 31, 53] from Operation: 70-17=53
Current State: 62:[84, 31, 53], Operations: ['70-17=53']
Exploring Operation: 84+31=115, Resulting Numbers: [53, 115]
Generated Node #3: [53, 115] from Operation: 84+31=115
Current State: 62:[53, 115], Operations: ['70-17=53', '84+31=115']
Exploring Operation: 115-53=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[17, 70, 84, 31], Operations: []
Exploring Operation: 84-70=14, Resulting Numbers: [17, 31, 14]
Generated Node #0,0: 62:[17, 31, 14] Operation: 84-70=14
Exploring Operation: 84-17=67, Resulting Numbers: [70, 31, 67]
Generated Node #0,1: 62:[70, 31, 67] Operation: 84-17=67
Moving to Node #0,1
Current State: 62:[70, 31, 67], Operations: ['84-17=67']
Exploring Operation: 70-67=3, Resulting Numbers: [31, 3]
Generated Node #0,1,0: 62:[31, 3] Operation: 70-67=3
Exploring Operation: 70-31=39, Resulting Numbers: [67, 39]
Generated Node #0,1,1: 62:[67, 39] Operation: 70-31=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[31, 3], Operations: ['84-17=67', '70-67=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,62 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,62 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:[67, 39], Operations: ['84-17=67', '70-31=39']
Exploring Operation: 67+39=106, Resulting Numbers: [106]
106,62 unequal: No Solution
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,62 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: 62:[17, 31, 14], Operations: ['84-70=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31, 31]
Generated Node #0,0,0: 62:[31, 31] Operation: 17+14=31
Exploring Operation: 17-14=3, Resulting Numbers: [31, 3]
Generated Node #0,0,1: 62:[31, 3] Operation: 17-14=3
Moving to Node #0,0,0
Current State: 62:[31, 31], Operations: ['84-70=14', '17+14=31']
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[17, 70, 84, 31], Operations: []
Exploring Operation: 84-70=14, Resulting Numbers: [17, 31, 14]
Generated Node #0,0: 62:[17, 31, 14] Operation: 84-70=14
Moving to Node #0,0
Current State: 62:[17, 31, 14], Operations: ['84-70=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31, 31]
Generated Node #0,0,0: 62:[31, 31] Operation: 17+14=31
Moving to Node #0,0,0
Current State: 62:[31, 31], Operations: ['84-70=14', '17+14=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
4,
9,
16,
51
] | 15 | [
"16/4=4",
"9+51=60",
"60/4=15"
] | Current State: 15:[4, 9, 16, 51], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [9, 51, 4]
Generated Node #2: [9, 51, 4] from Operation: 16/4=4
Current State: 15:[9, 51, 4], Operations: ['16/4=4']
Exploring Operation: 9+51=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 9+51=60
Current State: 15:[4, 60], Operations: ['16/4=4', '9+51=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[4, 9, 16, 51], Operations: []
Exploring Operation: 51-16=35, Resulting Numbers: [4, 9, 35]
Generated Node #0,0: 15:[4, 9, 35] Operation: 51-16=35
Moving to Node #0,0
Current State: 15:[4, 9, 35], Operations: ['51-16=35']
Exploring Operation: 35-9=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 15:[4, 26] Operation: 35-9=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[4, 26], Operations: ['51-16=35', '35-9=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,15 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 |
[
68,
86,
2,
71
] | 51 | [
"86-68=18",
"71-2=69",
"69-18=51"
] | Current State: 51:[68, 86, 2, 71], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [2, 71, 18]
Generated Node #2: [2, 71, 18] from Operation: 86-68=18
Current State: 51:[2, 71, 18], Operations: ['86-68=18']
Exploring Operation: 71-2=69, Resulting Numbers: [18, 69]
Generated Node #3: [18, 69] from Operation: 71-2=69
Current State: 51:[18, 69], Operations: ['86-68=18', '71-2=69']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[68, 86, 2, 71], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [2, 71, 18]
Generated Node #0,0: 51:[2, 71, 18] Operation: 86-68=18
Exploring Operation: 86-71=15, Resulting Numbers: [68, 2, 15]
Generated Node #0,1: 51:[68, 2, 15] Operation: 86-71=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[68, 2, 15], Operations: ['86-71=15']
Exploring Operation: 68-2=66, Resulting Numbers: [15, 66]
Generated Node #0,1,0: 51:[15, 66] Operation: 68-2=66
Exploring Operation: 68-15=53, Resulting Numbers: [2, 53]
Generated Node #0,1,1: 51:[2, 53] Operation: 68-15=53
Moving to Node #0,1,1
Current State: 51:[2, 53], Operations: ['86-71=15', '68-15=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[68, 86, 2, 71], Operations: []
Exploring Operation: 86-71=15, Resulting Numbers: [68, 2, 15]
Generated Node #0,1: 51:[68, 2, 15] Operation: 86-71=15
Moving to Node #0,1
Current State: 51:[68, 2, 15], Operations: ['86-71=15']
Exploring Operation: 68-15=53, Resulting Numbers: [2, 53]
Generated Node #0,1,1: 51:[2, 53] Operation: 68-15=53
Moving to Node #0,1,1
Current State: 51:[2, 53], Operations: ['86-71=15', '68-15=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
90,
34,
92,
85
] | 56 | [
"90*34=3060",
"3060/85=36",
"92-36=56"
] | Current State: 56:[90, 34, 92, 85], Operations: []
Exploring Operation: 90*34=3060, Resulting Numbers: [92, 85, 3060]
Generated Node #2: [92, 85, 3060] from Operation: 90*34=3060
Current State: 56:[92, 85, 3060], Operations: ['90*34=3060']
Exploring Operation: 3060/85=36, Resulting Numbers: [92, 36]
Generated Node #3: [92, 36] from Operation: 3060/85=36
Current State: 56:[92, 36], Operations: ['90*34=3060', '3060/85=36']
Exploring Operation: 92-36=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[90, 34, 92, 85], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [34, 85, 2]
Generated Node #0,0: 56:[34, 85, 2] Operation: 92-90=2
Moving to Node #0,0
Current State: 56:[34, 85, 2], Operations: ['92-90=2']
Exploring Operation: 85-34=51, Resulting Numbers: [2, 51]
Generated Node #0,0,0: 56:[2, 51] Operation: 85-34=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[2, 51], Operations: ['92-90=2', '85-34=51']
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,56 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 |
[
50,
75,
2,
98
] | 51 | [
"98-50=48",
"48/2=24",
"75-24=51"
] | Current State: 51:[50, 75, 2, 98], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [75, 2, 48]
Generated Node #2: [75, 2, 48] from Operation: 98-50=48
Current State: 51:[75, 2, 48], Operations: ['98-50=48']
Exploring Operation: 48/2=24, Resulting Numbers: [75, 24]
Generated Node #3: [75, 24] from Operation: 48/2=24
Current State: 51:[75, 24], Operations: ['98-50=48', '48/2=24']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[50, 75, 2, 98], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [75, 2, 48]
Generated Node #0,0: 51:[75, 2, 48] Operation: 98-50=48
Exploring Operation: 98-75=23, Resulting Numbers: [50, 2, 23]
Generated Node #0,1: 51:[50, 2, 23] Operation: 98-75=23
Exploring Operation: 75-50=25, Resulting Numbers: [2, 98, 25]
Generated Node #0,2: 51:[2, 98, 25] Operation: 75-50=25
Exploring Operation: 75-2=73, Resulting Numbers: [50, 98, 73]
Generated Node #0,3: 51:[50, 98, 73] Operation: 75-2=73
Exploring Operation: 98/2=49, Resulting Numbers: [50, 75, 49]
Generated Node #0,4: 51:[50, 75, 49] Operation: 98/2=49
Moving to Node #0,1
Current State: 51:[50, 2, 23], Operations: ['98-75=23']
Exploring Operation: 50-2=48, Resulting Numbers: [23, 48]
Generated Node #0,1,0: 51:[23, 48] Operation: 50-2=48
Exploring Operation: 23-2=21, Resulting Numbers: [50, 21]
Generated Node #0,1,1: 51:[50, 21] Operation: 23-2=21
Exploring Operation: 2*23=46, Resulting Numbers: [50, 46]
Generated Node #0,1,2: 51:[50, 46] Operation: 2*23=46
Exploring Operation: 50+2=52, Resulting Numbers: [23, 52]
Generated Node #0,1,3: 51:[23, 52] Operation: 50+2=52
Exploring Operation: 2+23=25, Resulting Numbers: [50, 25]
Generated Node #0,1,4: 51:[50, 25] Operation: 2+23=25
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[50, 21], Operations: ['98-75=23', '23-2=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,51 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 51:[50, 46], Operations: ['98-75=23', '2*23=46']
Exploring Operation: 50*46=2300, Resulting Numbers: [2300]
2300,51 unequal: No Solution
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 51:[23, 52], Operations: ['98-75=23', '50+2=52']
Exploring Operation: 23+52=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Exploring Operation: 23*52=1196, Resulting Numbers: [1196]
1196,51 unequal: No Solution
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[23, 48], Operations: ['98-75=23', '50-2=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 23*48=1104, Resulting Numbers: [1104]
1104,51 unequal: No Solution
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 51:[50, 25], Operations: ['98-75=23', '2+23=25']
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,51 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,51 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: 51:[50, 75, 49], Operations: ['98/2=49']
Exploring Operation: 50-49=1, Resulting Numbers: [75, 1]
Generated Node #0,4,0: 51:[75, 1] Operation: 50-49=1
Exploring Operation: 75+49=124, Resulting Numbers: [50, 124]
Generated Node #0,4,1: 51:[50, 124] Operation: 75+49=124
Exploring Operation: 75-50=25, Resulting Numbers: [49, 25]
Generated Node #0,4,2: 51:[49, 25] Operation: 75-50=25
Exploring Operation: 75-49=26, Resulting Numbers: [50, 26]
Generated Node #0,4,3: 51:[50, 26] Operation: 75-49=26
Exploring Operation: 50+49=99, Resulting Numbers: [75, 99]
Generated Node #0,4,4: 51:[75, 99] Operation: 50+49=99
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 51:[49, 25], Operations: ['98/2=49', '75-50=25']
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,51 unequal: No Solution
Exploring Operation: 49*25=1225, Resulting Numbers: [1225]
1225,51 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 51:[50, 26], Operations: ['98/2=49', '75-49=26']
Exploring Operation: 50*26=1300, Resulting Numbers: [1300]
1300,51 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 51:[75, 1], Operations: ['98/2=49', '50-49=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,51 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 51:[75, 99], Operations: ['98/2=49', '50+49=99']
Exploring Operation: 99-75=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 75*99=7425, Resulting Numbers: [7425]
7425,51 unequal: No Solution
Exploring Operation: 75+99=174, Resulting Numbers: [174]
174,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 51:[50, 124], Operations: ['98/2=49', '75+49=124']
Exploring Operation: 124-50=74, Resulting Numbers: [74]
74,51 unequal: No Solution
Exploring Operation: 50+124=174, Resulting Numbers: [174]
174,51 unequal: No Solution
Exploring Operation: 50*124=6200, Resulting Numbers: [6200]
6200,51 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: 51:[75, 2, 48], Operations: ['98-50=48']
Exploring Operation: 75-48=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 51:[2, 27] Operation: 75-48=27
Exploring Operation: 2+48=50, Resulting Numbers: [75, 50]
Generated Node #0,0,1: 51:[75, 50] Operation: 2+48=50
Exploring Operation: 75-2=73, Resulting Numbers: [48, 73]
Generated Node #0,0,2: 51:[48, 73] Operation: 75-2=73
Exploring Operation: 48-2=46, Resulting Numbers: [75, 46]
Generated Node #0,0,3: 51:[75, 46] Operation: 48-2=46
Exploring Operation: 75+2=77, Resulting Numbers: [48, 77]
Generated Node #0,0,4: 51:[48, 77] Operation: 75+2=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[2, 27], Operations: ['98-50=48', '75-48=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,51 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[75, 50], Operations: ['98-50=48', '2+48=50']
Exploring Operation: 75+50=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 75*50=3750, Resulting Numbers: [3750]
3750,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[48, 73], Operations: ['98-50=48', '75-2=73']
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,51 unequal: No Solution
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,51 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[75, 46], Operations: ['98-50=48', '48-2=46']
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,51 unequal: No Solution
Exploring Operation: 75*46=3450, Resulting Numbers: [3450]
3450,51 unequal: No Solution
Exploring Operation: 75+46=121, Resulting Numbers: [121]
121,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 51:[48, 77], Operations: ['98-50=48', '75+2=77']
Exploring Operation: 48+77=125, Resulting Numbers: [125]
125,51 unequal: No Solution
Exploring Operation: 48*77=3696, Resulting Numbers: [3696]
3696,51 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,51 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: 51:[2, 98, 25], Operations: ['75-50=25']
Exploring Operation: 98/2=49, Resulting Numbers: [25, 49]
Generated Node #0,2,0: 51:[25, 49] Operation: 98/2=49
Exploring Operation: 98-2=96, Resulting Numbers: [25, 96]
Generated Node #0,2,1: 51:[25, 96] Operation: 98-2=96
Exploring Operation: 25-2=23, Resulting Numbers: [98, 23]
Generated Node #0,2,2: 51:[98, 23] Operation: 25-2=23
Exploring Operation: 2*25=50, Resulting Numbers: [98, 50]
Generated Node #0,2,3: 51:[98, 50] Operation: 2*25=50
Exploring Operation: 98-25=73, Resulting Numbers: [2, 73]
Generated Node #0,2,4: 51:[2, 73] Operation: 98-25=73
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[25, 49], Operations: ['75-50=25', '98/2=49']
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 25+49=74, Resulting Numbers: [74]
74,51 unequal: No Solution
Exploring Operation: 25*49=1225, Resulting Numbers: [1225]
1225,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 51:[2, 73], Operations: ['75-50=25', '98-25=73']
Exploring Operation: 2*73=146, Resulting Numbers: [146]
146,51 unequal: No Solution
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 51:[98, 50], Operations: ['75-50=25', '2*25=50']
Exploring Operation: 98*50=4900, Resulting Numbers: [4900]
4900,51 unequal: No Solution
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 98+50=148, Resulting Numbers: [148]
148,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[25, 96], Operations: ['75-50=25', '98-2=96']
Exploring Operation: 25+96=121, Resulting Numbers: [121]
121,51 unequal: No Solution
Exploring Operation: 96-25=71, Resulting Numbers: [71]
71,51 unequal: No Solution
Exploring Operation: 25*96=2400, Resulting Numbers: [2400]
2400,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[98, 23], Operations: ['75-50=25', '25-2=23']
Exploring Operation: 98-23=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Exploring Operation: 98+23=121, Resulting Numbers: [121]
121,51 unequal: No Solution
Exploring Operation: 98*23=2254, Resulting Numbers: [2254]
2254,51 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: 51:[50, 98, 73], Operations: ['75-2=73']
Exploring Operation: 50+98=148, Resulting Numbers: [73, 148]
Generated Node #0,3,0: 51:[73, 148] Operation: 50+98=148
Exploring Operation: 73-50=23, Resulting Numbers: [98, 23]
Generated Node #0,3,1: 51:[98, 23] Operation: 73-50=23
Exploring Operation: 98-73=25, Resulting Numbers: [50, 25]
Generated Node #0,3,2: 51:[50, 25] Operation: 98-73=25
Exploring Operation: 50+73=123, Resulting Numbers: [98, 123]
Generated Node #0,3,3: 51:[98, 123] Operation: 50+73=123
Exploring Operation: 98-50=48, Resulting Numbers: [73, 48]
Generated Node #0,3,4: 51:[73, 48] Operation: 98-50=48
Moving to Node #0,3,2
Current State: 51:[50, 25], Operations: ['75-2=73', '98-73=25']
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,51 unequal: No Solution
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Moving to Node #0,3,4
Current State: 51:[73, 48], Operations: ['75-2=73', '98-50=48']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 73*48=3504, Resulting Numbers: [3504]
3504,51 unequal: No Solution
Exploring Operation: 73+48=121, Resulting Numbers: [121]
121,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[98, 23], Operations: ['75-2=73', '73-50=23']
Exploring Operation: 98-23=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Exploring Operation: 98*23=2254, Resulting Numbers: [2254]
2254,51 unequal: No Solution
Exploring Operation: 98+23=121, Resulting Numbers: [121]
121,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[73, 148], Operations: ['75-2=73', '50+98=148']
Exploring Operation: 73+148=221, Resulting Numbers: [221]
221,51 unequal: No Solution
Exploring Operation: 73*148=10804, Resulting Numbers: [10804]
10804,51 unequal: No Solution
Exploring Operation: 148-73=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[98, 123], Operations: ['75-2=73', '50+73=123']
Exploring Operation: 98+123=221, Resulting Numbers: [221]
221,51 unequal: No Solution
Exploring Operation: 98*123=12054, Resulting Numbers: [12054]
12054,51 unequal: No Solution
Exploring Operation: 123-98=25, Resulting Numbers: [25]
25,51 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
58,
67,
87,
53
] | 21 | [
"67-53=14",
"87*14=1218",
"1218/58=21"
] | Current State: 21:[58, 67, 87, 53], Operations: []
Exploring Operation: 67-53=14, Resulting Numbers: [58, 87, 14]
Generated Node #2: [58, 87, 14] from Operation: 67-53=14
Current State: 21:[58, 87, 14], Operations: ['67-53=14']
Exploring Operation: 87*14=1218, Resulting Numbers: [58, 1218]
Generated Node #3: [58, 1218] from Operation: 87*14=1218
Current State: 21:[58, 1218], Operations: ['67-53=14', '87*14=1218']
Exploring Operation: 1218/58=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[58, 67, 87, 53], Operations: []
Exploring Operation: 87-67=20, Resulting Numbers: [58, 53, 20]
Generated Node #0,0: 21:[58, 53, 20] Operation: 87-67=20
Moving to Node #0,0
Current State: 21:[58, 53, 20], Operations: ['87-67=20']
Exploring Operation: 58-53=5, Resulting Numbers: [20, 5]
Generated Node #0,0,0: 21:[20, 5] Operation: 58-53=5
Moving to Node #0,0,0
Current State: 21:[20, 5], Operations: ['87-67=20', '58-53=5']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,21 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
18,
57,
3
] | 60 | [
"5*3=15",
"18+57=75",
"75-15=60"
] | Current State: 60:[5, 18, 57, 3], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [18, 57, 15]
Generated Node #2: [18, 57, 15] from Operation: 5*3=15
Current State: 60:[18, 57, 15], Operations: ['5*3=15']
Exploring Operation: 18+57=75, Resulting Numbers: [15, 75]
Generated Node #3: [15, 75] from Operation: 18+57=75
Current State: 60:[15, 75], Operations: ['5*3=15', '18+57=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[5, 18, 57, 3], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [5, 18, 19]
Generated Node #0,0: 60:[5, 18, 19] Operation: 57/3=19
Exploring Operation: 57+3=60, Resulting Numbers: [5, 18, 60]
Generated Node #0,1: 60:[5, 18, 60] Operation: 57+3=60
Exploring Operation: 18-5=13, Resulting Numbers: [57, 3, 13]
Generated Node #0,2: 60:[57, 3, 13] Operation: 18-5=13
Exploring Operation: 18-3=15, Resulting Numbers: [5, 57, 15]
Generated Node #0,3: 60:[5, 57, 15] Operation: 18-3=15
Exploring Operation: 18/3=6, Resulting Numbers: [5, 57, 6]
Generated Node #0,4: 60:[5, 57, 6] Operation: 18/3=6
Moving to Node #0,1
Current State: 60:[5, 18, 60], Operations: ['57+3=60']
Exploring Operation: 60/5=12, Resulting Numbers: [18, 12]
Generated Node #0,1,0: 60:[18, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [18, 55]
Generated Node #0,1,1: 60:[18, 55] Operation: 60-5=55
Exploring Operation: 18-5=13, Resulting Numbers: [60, 13]
Generated Node #0,1,2: 60:[60, 13] Operation: 18-5=13
Exploring Operation: 5+18=23, Resulting Numbers: [60, 23]
Generated Node #0,1,3: 60:[60, 23] Operation: 5+18=23
Exploring Operation: 5+60=65, Resulting Numbers: [18, 65]
Generated Node #0,1,4: 60:[18, 65] Operation: 5+60=65
Moving to Node #0,3
Current State: 60:[5, 57, 15], Operations: ['18-3=15']
Exploring Operation: 57-5=52, Resulting Numbers: [15, 52]
Generated Node #0,3,0: 60:[15, 52] Operation: 57-5=52
Exploring Operation: 5+57=62, Resulting Numbers: [15, 62]
Generated Node #0,3,1: 60:[15, 62] Operation: 5+57=62
Exploring Operation: 5+15=20, Resulting Numbers: [57, 20]
Generated Node #0,3,2: 60:[57, 20] Operation: 5+15=20
Exploring Operation: 15/5=3, Resulting Numbers: [57, 3]
Generated Node #0,3,3: 60:[57, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [57, 10]
Generated Node #0,3,4: 60:[57, 10] Operation: 15-5=10
Moving to Node #0,0
Current State: 60:[5, 18, 19], Operations: ['57/3=19']
Exploring Operation: 5+18=23, Resulting Numbers: [19, 23]
Generated Node #0,0,0: 60:[19, 23] Operation: 5+18=23
Exploring Operation: 19-5=14, Resulting Numbers: [18, 14]
Generated Node #0,0,1: 60:[18, 14] Operation: 19-5=14
Exploring Operation: 19-18=1, Resulting Numbers: [5, 1]
Generated Node #0,0,2: 60:[5, 1] Operation: 19-18=1
Exploring Operation: 18-5=13, Resulting Numbers: [19, 13]
Generated Node #0,0,3: 60:[19, 13] Operation: 18-5=13
Exploring Operation: 5+19=24, Resulting Numbers: [18, 24]
Generated Node #0,0,4: 60:[18, 24] Operation: 5+19=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 60:[5, 1], Operations: ['57/3=19', '19-18=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 60:[19, 13], Operations: ['57/3=19', '18-5=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[18, 14], Operations: ['57/3=19', '19-5=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[19, 23], Operations: ['57/3=19', '5+18=23']
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,60 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 60:[18, 24], Operations: ['57/3=19', '5+19=24']
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,60 unequal: No Solution
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,60 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: 60:[5, 57, 6], Operations: ['18/3=6']
Exploring Operation: 5+6=11, Resulting Numbers: [57, 11]
Generated Node #0,4,0: 60:[57, 11] Operation: 5+6=11
Exploring Operation: 5*6=30, Resulting Numbers: [57, 30]
Generated Node #0,4,1: 60:[57, 30] Operation: 5*6=30
Exploring Operation: 57+6=63, Resulting Numbers: [5, 63]
Generated Node #0,4,2: 60:[5, 63] Operation: 57+6=63
Exploring Operation: 6-5=1, Resulting Numbers: [57, 1]
Generated Node #0,4,3: 60:[57, 1] Operation: 6-5=1
Exploring Operation: 5+57=62, Resulting Numbers: [6, 62]
Generated Node #0,4,4: 60:[6, 62] Operation: 5+57=62
Moving to Node #0,2
Current State: 60:[57, 3, 13], Operations: ['18-5=13']
Exploring Operation: 13-3=10, Resulting Numbers: [57, 10]
Generated Node #0,2,0: 60:[57, 10] Operation: 13-3=10
Exploring Operation: 57+3=60, Resulting Numbers: [13, 60]
Generated Node #0,2,1: 60:[13, 60] Operation: 57+3=60
Exploring Operation: 57/3=19, Resulting Numbers: [13, 19]
Generated Node #0,2,2: 60:[13, 19] Operation: 57/3=19
Exploring Operation: 3+13=16, Resulting Numbers: [57, 16]
Generated Node #0,2,3: 60:[57, 16] Operation: 3+13=16
Exploring Operation: 57-3=54, Resulting Numbers: [13, 54]
Generated Node #0,2,4: 60:[13, 54] Operation: 57-3=54
Moving to Node #0,1,2
Current State: 60:[60, 13], Operations: ['57+3=60', '18-5=13']
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,60 unequal: No Solution
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 60*13=780, Resulting Numbers: [780]
780,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[13, 60], Operations: ['18-5=13', '57+3=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,60 unequal: No Solution
Exploring Operation: 13*60=780, Resulting Numbers: [780]
780,60 unequal: No Solution
Moving to Node #0,3,1
Current State: 60:[15, 62], Operations: ['18-3=15', '5+57=62']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 15+62=77, Resulting Numbers: [77]
77,60 unequal: No Solution
Exploring Operation: 15*62=930, Resulting Numbers: [930]
930,60 unequal: No Solution
Moving to Node #0,4,4
Current State: 60:[6, 62], Operations: ['18/3=6', '5+57=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,60 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[18, 12], Operations: ['57+3=60', '60/5=12']
Exploring Operation: 18*12=216, Resulting Numbers: [216]
216,60 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[13, 19], Operations: ['18-5=13', '57/3=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 13*19=247, Resulting Numbers: [247]
247,60 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[57, 20], Operations: ['18-3=15', '5+15=20']
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,60 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[60, 23], Operations: ['57+3=60', '5+18=23']
Exploring Operation: 60+23=83, Resulting Numbers: [83]
83,60 unequal: No Solution
Exploring Operation: 60*23=1380, Resulting Numbers: [1380]
1380,60 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Moving to Node #0,4,2
Current State: 60:[5, 63], Operations: ['18/3=6', '57+6=63']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 5+63=68, Resulting Numbers: [68]
68,60 unequal: No Solution
Exploring Operation: 5*63=315, Resulting Numbers: [315]
315,60 unequal: No Solution
Moving to Node #0,4,1
Current State: 60:[57, 30], Operations: ['18/3=6', '5*6=30']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,60 unequal: No Solution
Exploring Operation: 57*30=1710, Resulting Numbers: [1710]
1710,60 unequal: No Solution
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Moving to Node #0,3,4
Current State: 60:[57, 10], Operations: ['18-3=15', '15-5=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,60 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[57, 10], Operations: ['18-5=13', '13-3=10']
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,60 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[57, 3], Operations: ['18-3=15', '15/5=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[5, 18, 57, 3], Operations: []
Exploring Operation: 18-3=15, Resulting Numbers: [5, 57, 15]
Generated Node #0,3: 60:[5, 57, 15] Operation: 18-3=15
Moving to Node #0,3
Current State: 60:[5, 57, 15], Operations: ['18-3=15']
Exploring Operation: 15/5=3, Resulting Numbers: [57, 3]
Generated Node #0,3,3: 60:[57, 3] Operation: 15/5=3
Moving to Node #0,3,3
Current State: 60:[57, 3], Operations: ['18-3=15', '15/5=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.924479 | hs_5 | mult_heuristic |
[
18,
64,
63,
71
] | 11 | [
"64+63=127",
"71+127=198",
"198/18=11"
] | Current State: 11:[18, 64, 63, 71], Operations: []
Exploring Operation: 64+63=127, Resulting Numbers: [18, 71, 127]
Generated Node #2: [18, 71, 127] from Operation: 64+63=127
Current State: 11:[18, 71, 127], Operations: ['64+63=127']
Exploring Operation: 71+127=198, Resulting Numbers: [18, 198]
Generated Node #3: [18, 198] from Operation: 71+127=198
Current State: 11:[18, 198], Operations: ['64+63=127', '71+127=198']
Exploring Operation: 198/18=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[18, 64, 63, 71], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [18, 63, 7]
Generated Node #0,0: 11:[18, 63, 7] Operation: 71-64=7
Exploring Operation: 71-63=8, Resulting Numbers: [18, 64, 8]
Generated Node #0,1: 11:[18, 64, 8] Operation: 71-63=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[18, 63, 7], Operations: ['71-64=7']
Exploring Operation: 63/7=9, Resulting Numbers: [18, 9]
Generated Node #0,0,0: 11:[18, 9] Operation: 63/7=9
Exploring Operation: 63-18=45, Resulting Numbers: [7, 45]
Generated Node #0,0,1: 11:[7, 45] Operation: 63-18=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[18, 9], Operations: ['71-64=7', '63/7=9']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,11 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:[7, 45], Operations: ['71-64=7', '63-18=45']
Exploring Operation: 7+45=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,11 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:[18, 64, 8], Operations: ['71-63=8']
Exploring Operation: 64/8=8, Resulting Numbers: [18, 8]
Generated Node #0,1,0: 11:[18, 8] Operation: 64/8=8
Exploring Operation: 64-18=46, Resulting Numbers: [8, 46]
Generated Node #0,1,1: 11:[8, 46] Operation: 64-18=46
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[18, 8], Operations: ['71-63=8', '64/8=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,11 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:[8, 46], Operations: ['71-63=8', '64-18=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
27,
11,
90,
40
] | 88 | [
"27+11=38",
"90-40=50",
"38+50=88"
] | Current State: 88:[27, 11, 90, 40], Operations: []
Exploring Operation: 27+11=38, Resulting Numbers: [90, 40, 38]
Generated Node #2: [90, 40, 38] from Operation: 27+11=38
Current State: 88:[90, 40, 38], Operations: ['27+11=38']
Exploring Operation: 90-40=50, Resulting Numbers: [38, 50]
Generated Node #3: [38, 50] from Operation: 90-40=50
Current State: 88:[38, 50], Operations: ['27+11=38', '90-40=50']
Exploring Operation: 38+50=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[27, 11, 90, 40], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [11, 90, 13]
Generated Node #0,0: 88:[11, 90, 13] Operation: 40-27=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[11, 90, 13], Operations: ['40-27=13']
Exploring Operation: 13-11=2, Resulting Numbers: [90, 2]
Generated Node #0,0,0: 88:[90, 2] Operation: 13-11=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[90, 2], Operations: ['40-27=13', '13-11=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[27, 11, 90, 40], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [11, 90, 13]
Generated Node #0,0: 88:[11, 90, 13] Operation: 40-27=13
Moving to Node #0,0
Current State: 88:[11, 90, 13], Operations: ['40-27=13']
Exploring Operation: 13-11=2, Resulting Numbers: [90, 2]
Generated Node #0,0,0: 88:[90, 2] Operation: 13-11=2
Moving to Node #0,0,0
Current State: 88:[90, 2], Operations: ['40-27=13', '13-11=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
15,
37,
42,
90
] | 30 | [
"15*42=630",
"630/90=7",
"37-7=30"
] | Current State: 30:[15, 37, 42, 90], Operations: []
Exploring Operation: 15*42=630, Resulting Numbers: [37, 90, 630]
Generated Node #2: [37, 90, 630] from Operation: 15*42=630
Current State: 30:[37, 90, 630], Operations: ['15*42=630']
Exploring Operation: 630/90=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 630/90=7
Current State: 30:[37, 7], Operations: ['15*42=630', '630/90=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[15, 37, 42, 90], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [37, 42, 6]
Generated Node #0,0: 30:[37, 42, 6] Operation: 90/15=6
Exploring Operation: 90-42=48, Resulting Numbers: [15, 37, 48]
Generated Node #0,1: 30:[15, 37, 48] Operation: 90-42=48
Moving to Node #0,0
Current State: 30:[37, 42, 6], Operations: ['90/15=6']
Exploring Operation: 42/6=7, Resulting Numbers: [37, 7]
Generated Node #0,0,0: 30:[37, 7] Operation: 42/6=7
Exploring Operation: 42-37=5, Resulting Numbers: [6, 5]
Generated Node #0,0,1: 30:[6, 5] Operation: 42-37=5
Moving to Node #0,1
Current State: 30:[15, 37, 48], Operations: ['90-42=48']
Exploring Operation: 48-37=11, Resulting Numbers: [15, 11]
Generated Node #0,1,0: 30:[15, 11] Operation: 48-37=11
Exploring Operation: 48-15=33, Resulting Numbers: [37, 33]
Generated Node #0,1,1: 30:[37, 33] Operation: 48-15=33
Moving to Node #0,0,1
Current State: 30:[6, 5], Operations: ['90/15=6', '42-37=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[15, 37, 42, 90], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [37, 42, 6]
Generated Node #0,0: 30:[37, 42, 6] Operation: 90/15=6
Moving to Node #0,0
Current State: 30:[37, 42, 6], Operations: ['90/15=6']
Exploring Operation: 42-37=5, Resulting Numbers: [6, 5]
Generated Node #0,0,1: 30:[6, 5] Operation: 42-37=5
Moving to Node #0,0,1
Current State: 30:[6, 5], Operations: ['90/15=6', '42-37=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
35,
12,
56,
97
] | 88 | [
"35+12=47",
"97-56=41",
"47+41=88"
] | Current State: 88:[35, 12, 56, 97], Operations: []
Exploring Operation: 35+12=47, Resulting Numbers: [56, 97, 47]
Generated Node #2: [56, 97, 47] from Operation: 35+12=47
Current State: 88:[56, 97, 47], Operations: ['35+12=47']
Exploring Operation: 97-56=41, Resulting Numbers: [47, 41]
Generated Node #3: [47, 41] from Operation: 97-56=41
Current State: 88:[47, 41], Operations: ['35+12=47', '97-56=41']
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[35, 12, 56, 97], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [12, 97, 21]
Generated Node #0,0: 88:[12, 97, 21] Operation: 56-35=21
Moving to Node #0,0
Current State: 88:[12, 97, 21], Operations: ['56-35=21']
Exploring Operation: 97-12=85, Resulting Numbers: [21, 85]
Generated Node #0,0,0: 88:[21, 85] Operation: 97-12=85
Moving to Node #0,0,0
Current State: 88:[21, 85], Operations: ['56-35=21', '97-12=85']
Exploring Operation: 21+85=106, Resulting Numbers: [106]
106,88 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
28,
54,
36,
2
] | 32 | [
"28/2=14",
"54-36=18",
"14+18=32"
] | Current State: 32:[28, 54, 36, 2], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [54, 36, 14]
Generated Node #2: [54, 36, 14] from Operation: 28/2=14
Current State: 32:[54, 36, 14], Operations: ['28/2=14']
Exploring Operation: 54-36=18, Resulting Numbers: [14, 18]
Generated Node #3: [14, 18] from Operation: 54-36=18
Current State: 32:[14, 18], Operations: ['28/2=14', '54-36=18']
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[28, 54, 36, 2], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [28, 36, 27]
Generated Node #0,0: 32:[28, 36, 27] Operation: 54/2=27
Exploring Operation: 54-36=18, Resulting Numbers: [28, 2, 18]
Generated Node #0,1: 32:[28, 2, 18] Operation: 54-36=18
Exploring Operation: 54-28=26, Resulting Numbers: [36, 2, 26]
Generated Node #0,2: 32:[36, 2, 26] Operation: 54-28=26
Moving to Node #0,1
Current State: 32:[28, 2, 18], Operations: ['54-36=18']
Exploring Operation: 28+2=30, Resulting Numbers: [18, 30]
Generated Node #0,1,0: 32:[18, 30] Operation: 28+2=30
Exploring Operation: 28/2=14, Resulting Numbers: [18, 14]
Generated Node #0,1,1: 32:[18, 14] Operation: 28/2=14
Exploring Operation: 28-18=10, Resulting Numbers: [2, 10]
Generated Node #0,1,2: 32:[2, 10] Operation: 28-18=10
Moving to Node #0,2
Current State: 32:[36, 2, 26], Operations: ['54-28=26']
Exploring Operation: 36-26=10, Resulting Numbers: [2, 10]
Generated Node #0,2,0: 32:[2, 10] Operation: 36-26=10
Exploring Operation: 26/2=13, Resulting Numbers: [36, 13]
Generated Node #0,2,1: 32:[36, 13] Operation: 26/2=13
Exploring Operation: 36-2=34, Resulting Numbers: [26, 34]
Generated Node #0,2,2: 32:[26, 34] Operation: 36-2=34
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[2, 10], Operations: ['54-28=26', '36-26=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,32 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,32 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 #0,2,1
Current State: 32:[36, 13], Operations: ['54-28=26', '26/2=13']
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,32 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,32 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 #0,2,2
Current State: 32:[26, 34], Operations: ['54-28=26', '36-2=34']
Exploring Operation: 26*34=884, Resulting Numbers: [884]
884,32 unequal: No Solution
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,32 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: 32:[28, 36, 27], Operations: ['54/2=27']
Exploring Operation: 36-27=9, Resulting Numbers: [28, 9]
Generated Node #0,0,0: 32:[28, 9] Operation: 36-27=9
Exploring Operation: 36-28=8, Resulting Numbers: [27, 8]
Generated Node #0,0,1: 32:[27, 8] Operation: 36-28=8
Exploring Operation: 28-27=1, Resulting Numbers: [36, 1]
Generated Node #0,0,2: 32:[36, 1] Operation: 28-27=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[28, 9], Operations: ['54/2=27', '36-27=9']
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,32 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,32 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 #0,0,1
Current State: 32:[27, 8], Operations: ['54/2=27', '36-28=8']
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,32 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,32 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,32 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 #0,0,2
Current State: 32:[36, 1], Operations: ['54/2=27', '28-27=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,32 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,32 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 32:[2, 10], Operations: ['54-36=18', '28-18=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,32 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,32 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[18, 30], Operations: ['54-36=18', '28+2=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,32 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[18, 14], Operations: ['54-36=18', '28/2=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[28, 54, 36, 2], Operations: []
Exploring Operation: 54-36=18, Resulting Numbers: [28, 2, 18]
Generated Node #0,1: 32:[28, 2, 18] Operation: 54-36=18
Moving to Node #0,1
Current State: 32:[28, 2, 18], Operations: ['54-36=18']
Exploring Operation: 28/2=14, Resulting Numbers: [18, 14]
Generated Node #0,1,1: 32:[18, 14] Operation: 28/2=14
Moving to Node #0,1,1
Current State: 32:[18, 14], Operations: ['54-36=18', '28/2=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.963542 | hs_3 | sum_heuristic |
[
24,
36,
77,
98
] | 39 | [
"24+36=60",
"98-77=21",
"60-21=39"
] | Current State: 39:[24, 36, 77, 98], Operations: []
Exploring Operation: 24+36=60, Resulting Numbers: [77, 98, 60]
Generated Node #2: [77, 98, 60] from Operation: 24+36=60
Current State: 39:[77, 98, 60], Operations: ['24+36=60']
Exploring Operation: 98-77=21, Resulting Numbers: [60, 21]
Generated Node #3: [60, 21] from Operation: 98-77=21
Current State: 39:[60, 21], Operations: ['24+36=60', '98-77=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[24, 36, 77, 98], Operations: []
Exploring Operation: 98-36=62, Resulting Numbers: [24, 77, 62]
Generated Node #0,0: 39:[24, 77, 62] Operation: 98-36=62
Exploring Operation: 98-77=21, Resulting Numbers: [24, 36, 21]
Generated Node #0,1: 39:[24, 36, 21] Operation: 98-77=21
Exploring Operation: 77-36=41, Resulting Numbers: [24, 98, 41]
Generated Node #0,2: 39:[24, 98, 41] Operation: 77-36=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[24, 36, 21], Operations: ['98-77=21']
Exploring Operation: 36-24=12, Resulting Numbers: [21, 12]
Generated Node #0,1,0: 39:[21, 12] Operation: 36-24=12
Exploring Operation: 24-21=3, Resulting Numbers: [36, 3]
Generated Node #0,1,1: 39:[36, 3] Operation: 24-21=3
Exploring Operation: 24+21=45, Resulting Numbers: [36, 45]
Generated Node #0,1,2: 39:[36, 45] Operation: 24+21=45
Moving to Node #0,1,1
Current State: 39:[36, 3], Operations: ['98-77=21', '24-21=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[24, 36, 77, 98], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [24, 36, 21]
Generated Node #0,1: 39:[24, 36, 21] Operation: 98-77=21
Moving to Node #0,1
Current State: 39:[24, 36, 21], Operations: ['98-77=21']
Exploring Operation: 24-21=3, Resulting Numbers: [36, 3]
Generated Node #0,1,1: 39:[36, 3] Operation: 24-21=3
Moving to Node #0,1,1
Current State: 39:[36, 3], Operations: ['98-77=21', '24-21=3']
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
24,
64,
54,
61
] | 83 | [
"64*54=3456",
"3456/24=144",
"144-61=83"
] | Current State: 83:[24, 64, 54, 61], Operations: []
Exploring Operation: 64*54=3456, Resulting Numbers: [24, 61, 3456]
Generated Node #2: [24, 61, 3456] from Operation: 64*54=3456
Current State: 83:[24, 61, 3456], Operations: ['64*54=3456']
Exploring Operation: 3456/24=144, Resulting Numbers: [61, 144]
Generated Node #3: [61, 144] from Operation: 3456/24=144
Current State: 83:[61, 144], Operations: ['64*54=3456', '3456/24=144']
Exploring Operation: 144-61=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[24, 64, 54, 61], Operations: []
Exploring Operation: 24+61=85, Resulting Numbers: [64, 54, 85]
Generated Node #0,0: 83:[64, 54, 85] Operation: 24+61=85
Exploring Operation: 24+64=88, Resulting Numbers: [54, 61, 88]
Generated Node #0,1: 83:[54, 61, 88] Operation: 24+64=88
Exploring Operation: 24+54=78, Resulting Numbers: [64, 61, 78]
Generated Node #0,2: 83:[64, 61, 78] Operation: 24+54=78
Exploring Operation: 64-24=40, Resulting Numbers: [54, 61, 40]
Generated Node #0,3: 83:[54, 61, 40] Operation: 64-24=40
Moving to Node #0,2
Current State: 83:[64, 61, 78], Operations: ['24+54=78']
Exploring Operation: 64+61=125, Resulting Numbers: [78, 125]
Generated Node #0,2,0: 83:[78, 125] Operation: 64+61=125
Exploring Operation: 61+78=139, Resulting Numbers: [64, 139]
Generated Node #0,2,1: 83:[64, 139] Operation: 61+78=139
Exploring Operation: 64+78=142, Resulting Numbers: [61, 142]
Generated Node #0,2,2: 83:[61, 142] Operation: 64+78=142
Exploring Operation: 64-61=3, Resulting Numbers: [78, 3]
Generated Node #0,2,3: 83:[78, 3] Operation: 64-61=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[78, 125], Operations: ['24+54=78', '64+61=125']
Exploring Operation: 78+125=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Exploring Operation: 78*125=9750, Resulting Numbers: [9750]
9750,83 unequal: No Solution
Exploring Operation: 125-78=47, Resulting Numbers: [47]
47,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[64, 139], Operations: ['24+54=78', '61+78=139']
Exploring Operation: 64*139=8896, Resulting Numbers: [8896]
8896,83 unequal: No Solution
Exploring Operation: 139-64=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 64+139=203, Resulting Numbers: [203]
203,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[61, 142], Operations: ['24+54=78', '64+78=142']
Exploring Operation: 61+142=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Exploring Operation: 142-61=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 61*142=8662, Resulting Numbers: [8662]
8662,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 83:[78, 3], Operations: ['24+54=78', '64-61=3']
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,83 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 83:[64, 54, 85], Operations: ['24+61=85']
Exploring Operation: 64+54=118, Resulting Numbers: [85, 118]
Generated Node #0,0,0: 83:[85, 118] Operation: 64+54=118
Exploring Operation: 64-54=10, Resulting Numbers: [85, 10]
Generated Node #0,0,1: 83:[85, 10] Operation: 64-54=10
Exploring Operation: 85-54=31, Resulting Numbers: [64, 31]
Generated Node #0,0,2: 83:[64, 31] Operation: 85-54=31
Exploring Operation: 54+85=139, Resulting Numbers: [64, 139]
Generated Node #0,0,3: 83:[64, 139] Operation: 54+85=139
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[85, 118], Operations: ['24+61=85', '64+54=118']
Exploring Operation: 118-85=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 85+118=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Exploring Operation: 85*118=10030, Resulting Numbers: [10030]
10030,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[64, 31], Operations: ['24+61=85', '85-54=31']
Exploring Operation: 64+31=95, Resulting Numbers: [95]
95,83 unequal: No Solution
Exploring Operation: 64*31=1984, Resulting Numbers: [1984]
1984,83 unequal: No Solution
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[85, 10], Operations: ['24+61=85', '64-54=10']
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,83 unequal: No Solution
Exploring Operation: 85*10=850, Resulting Numbers: [850]
850,83 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[64, 139], Operations: ['24+61=85', '54+85=139']
Exploring Operation: 64*139=8896, Resulting Numbers: [8896]
8896,83 unequal: No Solution
Exploring Operation: 64+139=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Exploring Operation: 139-64=75, Resulting Numbers: [75]
75,83 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: 83:[54, 61, 88], Operations: ['24+64=88']
Exploring Operation: 88-54=34, Resulting Numbers: [61, 34]
Generated Node #0,1,0: 83:[61, 34] Operation: 88-54=34
Exploring Operation: 54+88=142, Resulting Numbers: [61, 142]
Generated Node #0,1,1: 83:[61, 142] Operation: 54+88=142
Exploring Operation: 61-54=7, Resulting Numbers: [88, 7]
Generated Node #0,1,2: 83:[88, 7] Operation: 61-54=7
Exploring Operation: 54+61=115, Resulting Numbers: [88, 115]
Generated Node #0,1,3: 83:[88, 115] Operation: 54+61=115
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[88, 115], Operations: ['24+64=88', '54+61=115']
Exploring Operation: 115-88=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 88*115=10120, Resulting Numbers: [10120]
10120,83 unequal: No Solution
Exploring Operation: 88+115=203, Resulting Numbers: [203]
203,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[61, 34], Operations: ['24+64=88', '88-54=34']
Exploring Operation: 61*34=2074, Resulting Numbers: [2074]
2074,83 unequal: No Solution
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,83 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,83 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 #0,1,1
Current State: 83:[61, 142], Operations: ['24+64=88', '54+88=142']
Exploring Operation: 142-61=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 61*142=8662, Resulting Numbers: [8662]
8662,83 unequal: No Solution
Exploring Operation: 61+142=203, Resulting Numbers: [203]
203,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[88, 7], Operations: ['24+64=88', '61-54=7']
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,83 unequal: No Solution
Exploring Operation: 88*7=616, Resulting Numbers: [616]
616,83 unequal: No Solution
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 83:[54, 61, 40], Operations: ['64-24=40']
Exploring Operation: 61+40=101, Resulting Numbers: [54, 101]
Generated Node #0,3,0: 83:[54, 101] Operation: 61+40=101
Exploring Operation: 54+40=94, Resulting Numbers: [61, 94]
Generated Node #0,3,1: 83:[61, 94] Operation: 54+40=94
Exploring Operation: 54-40=14, Resulting Numbers: [61, 14]
Generated Node #0,3,2: 83:[61, 14] Operation: 54-40=14
Exploring Operation: 54+61=115, Resulting Numbers: [40, 115]
Generated Node #0,3,3: 83:[40, 115] Operation: 54+61=115
Moving to Node #0,3,1
Current State: 83:[61, 94], Operations: ['64-24=40', '54+40=94']
Exploring Operation: 61*94=5734, Resulting Numbers: [5734]
5734,83 unequal: No Solution
Exploring Operation: 61+94=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[54, 101], Operations: ['64-24=40', '61+40=101']
Exploring Operation: 54+101=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Exploring Operation: 54*101=5454, Resulting Numbers: [5454]
5454,83 unequal: No Solution
Exploring Operation: 101-54=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[40, 115], Operations: ['64-24=40', '54+61=115']
Exploring Operation: 40*115=4600, Resulting Numbers: [4600]
4600,83 unequal: No Solution
Exploring Operation: 115-40=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 40+115=155, Resulting Numbers: [155]
155,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[61, 14], Operations: ['64-24=40', '54-40=14']
Exploring Operation: 61*14=854, Resulting Numbers: [854]
854,83 unequal: No Solution
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,83 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
6,
3,
61,
25
] | 92 | [
"6*25=150",
"61-3=58",
"150-58=92"
] | Current State: 92:[6, 3, 61, 25], Operations: []
Exploring Operation: 6*25=150, Resulting Numbers: [3, 61, 150]
Generated Node #2: [3, 61, 150] from Operation: 6*25=150
Current State: 92:[3, 61, 150], Operations: ['6*25=150']
Exploring Operation: 61-3=58, Resulting Numbers: [150, 58]
Generated Node #3: [150, 58] from Operation: 61-3=58
Current State: 92:[150, 58], Operations: ['6*25=150', '61-3=58']
Exploring Operation: 150-58=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[6, 3, 61, 25], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [61, 25, 2]
Generated Node #0,0: 92:[61, 25, 2] Operation: 6/3=2
Exploring Operation: 61-25=36, Resulting Numbers: [6, 3, 36]
Generated Node #0,1: 92:[6, 3, 36] Operation: 61-25=36
Exploring Operation: 61+25=86, Resulting Numbers: [6, 3, 86]
Generated Node #0,2: 92:[6, 3, 86] Operation: 61+25=86
Exploring Operation: 61-6=55, Resulting Numbers: [3, 25, 55]
Generated Node #0,3: 92:[3, 25, 55] Operation: 61-6=55
Exploring Operation: 61-3=58, Resulting Numbers: [6, 25, 58]
Generated Node #0,4: 92:[6, 25, 58] Operation: 61-3=58
Moving to Node #0,2
Current State: 92:[6, 3, 86], Operations: ['61+25=86']
Exploring Operation: 3+86=89, Resulting Numbers: [6, 89]
Generated Node #0,2,0: 92:[6, 89] Operation: 3+86=89
Exploring Operation: 6+3=9, Resulting Numbers: [86, 9]
Generated Node #0,2,1: 92:[86, 9] Operation: 6+3=9
Exploring Operation: 6/3=2, Resulting Numbers: [86, 2]
Generated Node #0,2,2: 92:[86, 2] Operation: 6/3=2
Exploring Operation: 6+86=92, Resulting Numbers: [3, 92]
Generated Node #0,2,3: 92:[3, 92] Operation: 6+86=92
Exploring Operation: 6-3=3, Resulting Numbers: [86, 3]
Generated Node #0,2,4: 92:[86, 3] Operation: 6-3=3
Moving to Node #0,3
Current State: 92:[3, 25, 55], Operations: ['61-6=55']
Exploring Operation: 55-25=30, Resulting Numbers: [3, 30]
Generated Node #0,3,0: 92:[3, 30] Operation: 55-25=30
Exploring Operation: 25-3=22, Resulting Numbers: [55, 22]
Generated Node #0,3,1: 92:[55, 22] Operation: 25-3=22
Exploring Operation: 3+25=28, Resulting Numbers: [55, 28]
Generated Node #0,3,2: 92:[55, 28] Operation: 3+25=28
Exploring Operation: 55-3=52, Resulting Numbers: [25, 52]
Generated Node #0,3,3: 92:[25, 52] Operation: 55-3=52
Exploring Operation: 25+55=80, Resulting Numbers: [3, 80]
Generated Node #0,3,4: 92:[3, 80] Operation: 25+55=80
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 92:[3, 30], Operations: ['61-6=55', '55-25=30']
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,92 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 #0,3,3
Current State: 92:[25, 52], Operations: ['61-6=55', '55-3=52']
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,92 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,92 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 #0,3,1
Current State: 92:[55, 22], Operations: ['61-6=55', '25-3=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,92 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,92 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 #0,3,4
Current State: 92:[3, 80], Operations: ['61-6=55', '25+55=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,92 unequal: No Solution
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,92 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 #0,3,2
Current State: 92:[55, 28], Operations: ['61-6=55', '3+25=28']
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 55+28=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 55*28=1540, Resulting Numbers: [1540]
1540,92 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: 92:[6, 3, 36], Operations: ['61-25=36']
Exploring Operation: 36/6=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 92:[3, 6] Operation: 36/6=6
Exploring Operation: 36-6=30, Resulting Numbers: [3, 30]
Generated Node #0,1,1: 92:[3, 30] Operation: 36-6=30
Exploring Operation: 3+36=39, Resulting Numbers: [6, 39]
Generated Node #0,1,2: 92:[6, 39] Operation: 3+36=39
Exploring Operation: 6/3=2, Resulting Numbers: [36, 2]
Generated Node #0,1,3: 92:[36, 2] Operation: 6/3=2
Exploring Operation: 6+36=42, Resulting Numbers: [3, 42]
Generated Node #0,1,4: 92:[3, 42] Operation: 6+36=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[3, 6], Operations: ['61-25=36', '36/6=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,92 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 #0,1,4
Current State: 92:[3, 42], Operations: ['61-25=36', '6+36=42']
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,92 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 #0,1,1
Current State: 92:[3, 30], Operations: ['61-25=36', '36-6=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,92 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:[6, 39], Operations: ['61-25=36', '3+36=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,92 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:[36, 2], Operations: ['61-25=36', '6/3=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,92 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,92 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: 92:[6, 25, 58], Operations: ['61-3=58']
Exploring Operation: 6+25=31, Resulting Numbers: [58, 31]
Generated Node #0,4,0: 92:[58, 31] Operation: 6+25=31
Exploring Operation: 25+58=83, Resulting Numbers: [6, 83]
Generated Node #0,4,1: 92:[6, 83] Operation: 25+58=83
Exploring Operation: 58-25=33, Resulting Numbers: [6, 33]
Generated Node #0,4,2: 92:[6, 33] Operation: 58-25=33
Exploring Operation: 58-6=52, Resulting Numbers: [25, 52]
Generated Node #0,4,3: 92:[25, 52] Operation: 58-6=52
Exploring Operation: 25-6=19, Resulting Numbers: [58, 19]
Generated Node #0,4,4: 92:[58, 19] Operation: 25-6=19
Moving to Node #0,0
Current State: 92:[61, 25, 2], Operations: ['6/3=2']
Exploring Operation: 61+2=63, Resulting Numbers: [25, 63]
Generated Node #0,0,0: 92:[25, 63] Operation: 61+2=63
Exploring Operation: 61-2=59, Resulting Numbers: [25, 59]
Generated Node #0,0,1: 92:[25, 59] Operation: 61-2=59
Exploring Operation: 61-25=36, Resulting Numbers: [2, 36]
Generated Node #0,0,2: 92:[2, 36] Operation: 61-25=36
Exploring Operation: 25-2=23, Resulting Numbers: [61, 23]
Generated Node #0,0,3: 92:[61, 23] Operation: 25-2=23
Exploring Operation: 61+25=86, Resulting Numbers: [2, 86]
Generated Node #0,0,4: 92:[2, 86] Operation: 61+25=86
Moving to Node #0,2,3
Current State: 92:[3, 92], Operations: ['61+25=86', '6+86=92']
Exploring Operation: 3*92=276, Resulting Numbers: [276]
276,92 unequal: No Solution
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[6, 89], Operations: ['61+25=86', '3+86=89']
Exploring Operation: 6+89=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 6*89=534, Resulting Numbers: [534]
534,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[86, 2], Operations: ['61+25=86', '6/3=2']
Exploring Operation: 86*2=172, Resulting Numbers: [172]
172,92 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[2, 86], Operations: ['6/3=2', '61+25=86']
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 2*86=172, Resulting Numbers: [172]
172,92 unequal: No Solution
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Moving to Node #0,2,4
Current State: 92:[86, 3], Operations: ['61+25=86', '6-3=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 86*3=258, Resulting Numbers: [258]
258,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[25, 52], Operations: ['61-3=58', '58-6=52']
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[2, 36], Operations: ['6/3=2', '61-25=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,92 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[6, 83], Operations: ['61-3=58', '25+58=83']
Exploring Operation: 6*83=498, Resulting Numbers: [498]
498,92 unequal: No Solution
Exploring Operation: 6+83=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[86, 9], Operations: ['61+25=86', '6+3=9']
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 86*9=774, Resulting Numbers: [774]
774,92 unequal: No Solution
Moving to Node #0,4,2
Current State: 92:[6, 33], Operations: ['61-3=58', '58-25=33']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,92 unequal: No Solution
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[61, 23], Operations: ['6/3=2', '25-2=23']
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 61*23=1403, Resulting Numbers: [1403]
1403,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[25, 59], Operations: ['6/3=2', '61-2=59']
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 25+59=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 25*59=1475, Resulting Numbers: [1475]
1475,92 unequal: No Solution
Moving to Node #0,4,4
Current State: 92:[58, 19], Operations: ['61-3=58', '25-6=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,92 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[25, 63], Operations: ['6/3=2', '61+2=63']
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 25*63=1575, Resulting Numbers: [1575]
1575,92 unequal: No Solution
Moving to Node #0,4,0
Current State: 92:[58, 31], Operations: ['61-3=58', '6+25=31']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,92 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
29,
25,
40,
37
] | 18 | [
"29+25=54",
"40-37=3",
"54/3=18"
] | Current State: 18:[29, 25, 40, 37], Operations: []
Exploring Operation: 29+25=54, Resulting Numbers: [40, 37, 54]
Generated Node #2: [40, 37, 54] from Operation: 29+25=54
Current State: 18:[40, 37, 54], Operations: ['29+25=54']
Exploring Operation: 40-37=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 40-37=3
Current State: 18:[54, 3], Operations: ['29+25=54', '40-37=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[29, 25, 40, 37], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [25, 37, 11]
Generated Node #0,0: 18:[25, 37, 11] Operation: 40-29=11
Exploring Operation: 37-29=8, Resulting Numbers: [25, 40, 8]
Generated Node #0,1: 18:[25, 40, 8] Operation: 37-29=8
Exploring Operation: 40-25=15, Resulting Numbers: [29, 37, 15]
Generated Node #0,2: 18:[29, 37, 15] Operation: 40-25=15
Exploring Operation: 40-37=3, Resulting Numbers: [29, 25, 3]
Generated Node #0,3: 18:[29, 25, 3] Operation: 40-37=3
Moving to Node #0,3
Current State: 18:[29, 25, 3], Operations: ['40-37=3']
Exploring Operation: 29-3=26, Resulting Numbers: [25, 26]
Generated Node #0,3,0: 18:[25, 26] Operation: 29-3=26
Exploring Operation: 29+3=32, Resulting Numbers: [25, 32]
Generated Node #0,3,1: 18:[25, 32] Operation: 29+3=32
Exploring Operation: 29-25=4, Resulting Numbers: [3, 4]
Generated Node #0,3,2: 18:[3, 4] Operation: 29-25=4
Exploring Operation: 25-3=22, Resulting Numbers: [29, 22]
Generated Node #0,3,3: 18:[29, 22] Operation: 25-3=22
Moving to Node #0,0
Current State: 18:[25, 37, 11], Operations: ['40-29=11']
Exploring Operation: 37-11=26, Resulting Numbers: [25, 26]
Generated Node #0,0,0: 18:[25, 26] Operation: 37-11=26
Exploring Operation: 25+11=36, Resulting Numbers: [37, 36]
Generated Node #0,0,1: 18:[37, 36] Operation: 25+11=36
Exploring Operation: 37-25=12, Resulting Numbers: [11, 12]
Generated Node #0,0,2: 18:[11, 12] Operation: 37-25=12
Exploring Operation: 25-11=14, Resulting Numbers: [37, 14]
Generated Node #0,0,3: 18:[37, 14] Operation: 25-11=14
Moving to Node #0,1
Current State: 18:[25, 40, 8], Operations: ['37-29=8']
Exploring Operation: 40-25=15, Resulting Numbers: [8, 15]
Generated Node #0,1,0: 18:[8, 15] Operation: 40-25=15
Exploring Operation: 40-8=32, Resulting Numbers: [25, 32]
Generated Node #0,1,1: 18:[25, 32] Operation: 40-8=32
Exploring Operation: 25-8=17, Resulting Numbers: [40, 17]
Generated Node #0,1,2: 18:[40, 17] Operation: 25-8=17
Exploring Operation: 40/8=5, Resulting Numbers: [25, 5]
Generated Node #0,1,3: 18:[25, 5] Operation: 40/8=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[8, 15], Operations: ['37-29=8', '40-25=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,18 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,18 unequal: No Solution
No 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: 18:[25, 5], Operations: ['37-29=8', '40/8=5']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,18 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,18 unequal: No Solution
No 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: 18:[25, 32], Operations: ['37-29=8', '40-8=32']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,18 unequal: No Solution
No 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: 18:[40, 17], Operations: ['37-29=8', '25-8=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 40*17=680, Resulting Numbers: [680]
680,18 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,18 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: 18:[29, 37, 15], Operations: ['40-25=15']
Exploring Operation: 37-29=8, Resulting Numbers: [15, 8]
Generated Node #0,2,0: 18:[15, 8] Operation: 37-29=8
Exploring Operation: 29+15=44, Resulting Numbers: [37, 44]
Generated Node #0,2,1: 18:[37, 44] Operation: 29+15=44
Exploring Operation: 29-15=14, Resulting Numbers: [37, 14]
Generated Node #0,2,2: 18:[37, 14] Operation: 29-15=14
Exploring Operation: 37-15=22, Resulting Numbers: [29, 22]
Generated Node #0,2,3: 18:[29, 22] Operation: 37-15=22
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[15, 8], Operations: ['40-25=15', '37-29=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,18 unequal: No Solution
No 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: 18:[29, 22], Operations: ['40-25=15', '37-15=22']
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 29*22=638, Resulting Numbers: [638]
638,18 unequal: No Solution
No 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: 18:[37, 14], Operations: ['40-25=15', '29-15=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,18 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,18 unequal: No Solution
No 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: 18:[37, 44], Operations: ['40-25=15', '29+15=44']
Exploring Operation: 37+44=81, Resulting Numbers: [81]
81,18 unequal: No Solution
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 37*44=1628, Resulting Numbers: [1628]
1628,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 18:[3, 4], Operations: ['40-37=3', '29-25=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,18 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[11, 12], Operations: ['40-29=11', '37-25=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[29, 22], Operations: ['40-37=3', '25-3=22']
Exploring Operation: 29*22=638, Resulting Numbers: [638]
638,18 unequal: No Solution
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[25, 26], Operations: ['40-29=11', '37-11=26']
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,18 unequal: No Solution
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[25, 26], Operations: ['40-37=3', '29-3=26']
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,18 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[25, 32], Operations: ['40-37=3', '29+3=32']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[37, 14], Operations: ['40-29=11', '25-11=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[37, 36], Operations: ['40-29=11', '25+11=36']
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,18 unequal: No Solution
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,18 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,18 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
52,
80,
61,
5
] | 38 | [
"80-52=28",
"61+5=66",
"66-28=38"
] | Current State: 38:[52, 80, 61, 5], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [61, 5, 28]
Generated Node #2: [61, 5, 28] from Operation: 80-52=28
Current State: 38:[61, 5, 28], Operations: ['80-52=28']
Exploring Operation: 61+5=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 61+5=66
Current State: 38:[28, 66], Operations: ['80-52=28', '61+5=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[52, 80, 61, 5], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [80, 5, 9]
Generated Node #0,0: 38:[80, 5, 9] Operation: 61-52=9
Exploring Operation: 52-5=47, Resulting Numbers: [80, 61, 47]
Generated Node #0,1: 38:[80, 61, 47] Operation: 52-5=47
Exploring Operation: 80-61=19, Resulting Numbers: [52, 5, 19]
Generated Node #0,2: 38:[52, 5, 19] Operation: 80-61=19
Exploring Operation: 80-52=28, Resulting Numbers: [61, 5, 28]
Generated Node #0,3: 38:[61, 5, 28] Operation: 80-52=28
Exploring Operation: 80/5=16, Resulting Numbers: [52, 61, 16]
Generated Node #0,4: 38:[52, 61, 16] Operation: 80/5=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[52, 5, 19], Operations: ['80-61=19']
Exploring Operation: 52-19=33, Resulting Numbers: [5, 33]
Generated Node #0,2,0: 38:[5, 33] Operation: 52-19=33
Exploring Operation: 52+5=57, Resulting Numbers: [19, 57]
Generated Node #0,2,1: 38:[19, 57] Operation: 52+5=57
Exploring Operation: 5+19=24, Resulting Numbers: [52, 24]
Generated Node #0,2,2: 38:[52, 24] Operation: 5+19=24
Exploring Operation: 52-5=47, Resulting Numbers: [19, 47]
Generated Node #0,2,3: 38:[19, 47] Operation: 52-5=47
Exploring Operation: 19-5=14, Resulting Numbers: [52, 14]
Generated Node #0,2,4: 38:[52, 14] Operation: 19-5=14
Moving to Node #0,2,0
Current State: 38:[5, 33], Operations: ['80-61=19', '52-19=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,38 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[52, 80, 61, 5], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [52, 5, 19]
Generated Node #0,2: 38:[52, 5, 19] Operation: 80-61=19
Moving to Node #0,2
Current State: 38:[52, 5, 19], Operations: ['80-61=19']
Exploring Operation: 52-19=33, Resulting Numbers: [5, 33]
Generated Node #0,2,0: 38:[5, 33] Operation: 52-19=33
Moving to Node #0,2,0
Current State: 38:[5, 33], Operations: ['80-61=19', '52-19=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
11,
85,
85,
19
] | 30 | [
"11+85=96",
"85-19=66",
"96-66=30"
] | Current State: 30:[11, 85, 85, 19], Operations: []
Exploring Operation: 11+85=96, Resulting Numbers: [19, 96]
Generated Node #2: [19, 96] from Operation: 11+85=96
Current State: 30:[19, 96], Operations: ['11+85=96']
Exploring Operation: 85-19=66, Resulting Numbers: [96, 66]
Generated Node #3: [96, 66] from Operation: 85-19=66
Current State: 30:[96, 66], Operations: ['11+85=96', '85-19=66']
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[11, 85, 85, 19], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [11, 19, 1]
Generated Node #0,0: 30:[11, 19, 1] Operation: 85/85=1
Exploring Operation: 85-19=66, Resulting Numbers: [11, 85, 66]
Generated Node #0,1: 30:[11, 85, 66] Operation: 85-19=66
Exploring Operation: 85-19=66, Resulting Numbers: [11, 85, 66]
Generated Node #0,2: 30:[11, 85, 66] Operation: 85-19=66
Exploring Operation: 85-85=0, Resulting Numbers: [11, 19, 0]
Generated Node #0,3: 30:[11, 19, 0] Operation: 85-85=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[11, 19, 1], Operations: ['85/85=1']
Exploring Operation: 19-1=18, Resulting Numbers: [11, 18]
Generated Node #0,0,0: 30:[11, 18] Operation: 19-1=18
Exploring Operation: 19-11=8, Resulting Numbers: [1, 8]
Generated Node #0,0,1: 30:[1, 8] Operation: 19-11=8
Exploring Operation: 11+19=30, Resulting Numbers: [1, 30]
Generated Node #0,0,2: 30:[1, 30] Operation: 11+19=30
Exploring Operation: 11-1=10, Resulting Numbers: [19, 10]
Generated Node #0,0,3: 30:[19, 10] Operation: 11-1=10
Moving to Node #0,0,2
Current State: 30:[1, 30], Operations: ['85/85=1', '11+19=30']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[11, 85, 85, 19], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [11, 19, 1]
Generated Node #0,0: 30:[11, 19, 1] Operation: 85/85=1
Moving to Node #0,0
Current State: 30:[11, 19, 1], Operations: ['85/85=1']
Exploring Operation: 11+19=30, Resulting Numbers: [1, 30]
Generated Node #0,0,2: 30:[1, 30] Operation: 11+19=30
Moving to Node #0,0,2
Current State: 30:[1, 30], Operations: ['85/85=1', '11+19=30']
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
95,
9,
21,
14
] | 52 | [
"95-21=74",
"9*14=126",
"126-74=52"
] | Current State: 52:[95, 9, 21, 14], Operations: []
Exploring Operation: 95-21=74, Resulting Numbers: [9, 14, 74]
Generated Node #2: [9, 14, 74] from Operation: 95-21=74
Current State: 52:[9, 14, 74], Operations: ['95-21=74']
Exploring Operation: 9*14=126, Resulting Numbers: [74, 126]
Generated Node #3: [74, 126] from Operation: 9*14=126
Current State: 52:[74, 126], Operations: ['95-21=74', '9*14=126']
Exploring Operation: 126-74=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[95, 9, 21, 14], Operations: []
Exploring Operation: 95-21=74, Resulting Numbers: [9, 14, 74]
Generated Node #0,0: 52:[9, 14, 74] Operation: 95-21=74
Moving to Node #0,0
Current State: 52:[9, 14, 74], Operations: ['95-21=74']
Exploring Operation: 74-14=60, Resulting Numbers: [9, 60]
Generated Node #0,0,0: 52:[9, 60] Operation: 74-14=60
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[9, 60], Operations: ['95-21=74', '74-14=60']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,52 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 |
[
31,
72,
1,
56
] | 96 | [
"72-31=41",
"56-1=55",
"41+55=96"
] | Current State: 96:[31, 72, 1, 56], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [1, 56, 41]
Generated Node #2: [1, 56, 41] from Operation: 72-31=41
Current State: 96:[1, 56, 41], Operations: ['72-31=41']
Exploring Operation: 56-1=55, Resulting Numbers: [41, 55]
Generated Node #3: [41, 55] from Operation: 56-1=55
Current State: 96:[41, 55], Operations: ['72-31=41', '56-1=55']
Exploring Operation: 41+55=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[31, 72, 1, 56], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [72, 1, 25]
Generated Node #0,0: 96:[72, 1, 25] Operation: 56-31=25
Exploring Operation: 72-31=41, Resulting Numbers: [1, 56, 41]
Generated Node #0,1: 96:[1, 56, 41] Operation: 72-31=41
Exploring Operation: 31+72=103, Resulting Numbers: [1, 56, 103]
Generated Node #0,2: 96:[1, 56, 103] Operation: 31+72=103
Exploring Operation: 72-56=16, Resulting Numbers: [31, 1, 16]
Generated Node #0,3: 96:[31, 1, 16] Operation: 72-56=16
Exploring Operation: 31+1=32, Resulting Numbers: [72, 56, 32]
Generated Node #0,4: 96:[72, 56, 32] Operation: 31+1=32
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[31, 1, 16], Operations: ['72-56=16']
Exploring Operation: 1*16=16, Resulting Numbers: [31, 16]
Generated Node #0,3,0: 96:[31, 16] Operation: 1*16=16
Exploring Operation: 31/1=31, Resulting Numbers: [16, 31]
Generated Node #0,3,1: 96:[16, 31] Operation: 31/1=31
Exploring Operation: 31+1=32, Resulting Numbers: [16, 32]
Generated Node #0,3,2: 96:[16, 32] Operation: 31+1=32
Exploring Operation: 16/1=16, Resulting Numbers: [31, 16]
Generated Node #0,3,3: 96:[31, 16] Operation: 16/1=16
Exploring Operation: 31*1=31, Resulting Numbers: [16, 31]
Generated Node #0,3,4: 96:[16, 31] Operation: 31*1=31
Moving to Node #0,3,2
Current State: 96:[16, 32], Operations: ['72-56=16', '31+1=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,96 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,96 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[16, 31], Operations: ['72-56=16', '31/1=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,96 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Moving to Node #0,3,4
Current State: 96:[16, 31], Operations: ['72-56=16', '31*1=31']
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,96 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Moving to Node #0,3,0
Current State: 96:[31, 16], Operations: ['72-56=16', '1*16=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,96 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[31, 16], Operations: ['72-56=16', '16/1=16']
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,96 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[1, 56, 41], Operations: ['72-31=41']
Exploring Operation: 56+41=97, Resulting Numbers: [1, 97]
Generated Node #0,1,0: 96:[1, 97] Operation: 56+41=97
Exploring Operation: 1*56=56, Resulting Numbers: [41, 56]
Generated Node #0,1,1: 96:[41, 56] Operation: 1*56=56
Exploring Operation: 56-41=15, Resulting Numbers: [1, 15]
Generated Node #0,1,2: 96:[1, 15] Operation: 56-41=15
Exploring Operation: 56-1=55, Resulting Numbers: [41, 55]
Generated Node #0,1,3: 96:[41, 55] Operation: 56-1=55
Exploring Operation: 1+41=42, Resulting Numbers: [56, 42]
Generated Node #0,1,4: 96:[56, 42] Operation: 1+41=42
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[1, 97], Operations: ['72-31=41', '56+41=97']
Exploring Operation: 1*97=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 1+97=98, Resulting Numbers: [98]
98,96 unequal: No Solution
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[31, 72, 1, 56], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [1, 56, 41]
Generated Node #0,1: 96:[1, 56, 41] Operation: 72-31=41
Moving to Node #0,1
Current State: 96:[1, 56, 41], Operations: ['72-31=41']
Exploring Operation: 56+41=97, Resulting Numbers: [1, 97]
Generated Node #0,1,0: 96:[1, 97] Operation: 56+41=97
Moving to Node #0,1,0
Current State: 96:[1, 97], Operations: ['72-31=41', '56+41=97']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
17,
1,
18,
5
] | 55 | [
"5-1=4",
"18*4=72",
"72-17=55"
] | Current State: 55:[17, 1, 18, 5], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [17, 18, 4]
Generated Node #2: [17, 18, 4] from Operation: 5-1=4
Current State: 55:[17, 18, 4], Operations: ['5-1=4']
Exploring Operation: 18*4=72, Resulting Numbers: [17, 72]
Generated Node #3: [17, 72] from Operation: 18*4=72
Current State: 55:[17, 72], Operations: ['5-1=4', '18*4=72']
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[17, 1, 18, 5], Operations: []
Exploring Operation: 18-17=1, Resulting Numbers: [1, 5, 1]
Generated Node #0,0: 55:[1, 5, 1] Operation: 18-17=1
Moving to Node #0,0
Current State: 55:[1, 5, 1], Operations: ['18-17=1']
Exploring Operation: 1+1=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 55:[5, 2] Operation: 1+1=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[5, 2], Operations: ['18-17=1', '1+1=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,55 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,
37,
86,
95
] | 41 | [
"37-5=32",
"95-86=9",
"32+9=41"
] | Current State: 41:[5, 37, 86, 95], Operations: []
Exploring Operation: 37-5=32, Resulting Numbers: [86, 95, 32]
Generated Node #2: [86, 95, 32] from Operation: 37-5=32
Current State: 41:[86, 95, 32], Operations: ['37-5=32']
Exploring Operation: 95-86=9, Resulting Numbers: [32, 9]
Generated Node #3: [32, 9] from Operation: 95-86=9
Current State: 41:[32, 9], Operations: ['37-5=32', '95-86=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[5, 37, 86, 95], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [37, 86, 19]
Generated Node #0,0: 41:[37, 86, 19] Operation: 95/5=19
Exploring Operation: 95-86=9, Resulting Numbers: [5, 37, 9]
Generated Node #0,1: 41:[5, 37, 9] Operation: 95-86=9
Exploring Operation: 86-5=81, Resulting Numbers: [37, 95, 81]
Generated Node #0,2: 41:[37, 95, 81] Operation: 86-5=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[37, 86, 19], Operations: ['95/5=19']
Exploring Operation: 37+19=56, Resulting Numbers: [86, 56]
Generated Node #0,0,0: 41:[86, 56] Operation: 37+19=56
Exploring Operation: 86-19=67, Resulting Numbers: [37, 67]
Generated Node #0,0,1: 41:[37, 67] Operation: 86-19=67
Exploring Operation: 86-37=49, Resulting Numbers: [19, 49]
Generated Node #0,0,2: 41:[19, 49] Operation: 86-37=49
Moving to Node #0,0,1
Current State: 41:[37, 67], Operations: ['95/5=19', '86-19=67']
Exploring Operation: 37+67=104, Resulting Numbers: [104]
104,41 unequal: No Solution
Exploring Operation: 37*67=2479, Resulting Numbers: [2479]
2479,41 unequal: No Solution
Exploring Operation: 67-37=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[19, 49], Operations: ['95/5=19', '86-37=49']
Exploring Operation: 19*49=931, Resulting Numbers: [931]
931,41 unequal: No Solution
Exploring Operation: 19+49=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[86, 56], Operations: ['95/5=19', '37+19=56']
Exploring Operation: 86-56=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 86+56=142, Resulting Numbers: [142]
142,41 unequal: No Solution
Exploring Operation: 86*56=4816, Resulting Numbers: [4816]
4816,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[5, 37, 9], Operations: ['95-86=9']
Exploring Operation: 5+37=42, Resulting Numbers: [9, 42]
Generated Node #0,1,0: 41:[9, 42] Operation: 5+37=42
Exploring Operation: 5*9=45, Resulting Numbers: [37, 45]
Generated Node #0,1,1: 41:[37, 45] Operation: 5*9=45
Exploring Operation: 5+9=14, Resulting Numbers: [37, 14]
Generated Node #0,1,2: 41:[37, 14] Operation: 5+9=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[37, 45], Operations: ['95-86=9', '5*9=45']
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,41 unequal: No Solution
Exploring Operation: 37*45=1665, Resulting Numbers: [1665]
1665,41 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 #0,1,2
Current State: 41:[37, 14], Operations: ['95-86=9', '5+9=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,41 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 #0,1,0
Current State: 41:[9, 42], Operations: ['95-86=9', '5+37=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,41 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,41 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 #0,2
Current State: 41:[37, 95, 81], Operations: ['86-5=81']
Exploring Operation: 95-81=14, Resulting Numbers: [37, 14]
Generated Node #0,2,0: 41:[37, 14] Operation: 95-81=14
Exploring Operation: 95-37=58, Resulting Numbers: [81, 58]
Generated Node #0,2,1: 41:[81, 58] Operation: 95-37=58
Exploring Operation: 81-37=44, Resulting Numbers: [95, 44]
Generated Node #0,2,2: 41:[95, 44] Operation: 81-37=44
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[37, 14], Operations: ['86-5=81', '95-81=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,41 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,41 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:[81, 58], Operations: ['86-5=81', '95-37=58']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,41 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,41 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:[95, 44], Operations: ['86-5=81', '81-37=44']
Exploring Operation: 95*44=4180, Resulting Numbers: [4180]
4180,41 unequal: No Solution
Exploring Operation: 95-44=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 95+44=139, Resulting Numbers: [139]
139,41 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_3 | sum_heuristic |
[
32,
96,
4,
56
] | 16 | [
"56-32=24",
"96*4=384",
"384/24=16"
] | Current State: 16:[32, 96, 4, 56], Operations: []
Exploring Operation: 56-32=24, Resulting Numbers: [96, 4, 24]
Generated Node #2: [96, 4, 24] from Operation: 56-32=24
Current State: 16:[96, 4, 24], Operations: ['56-32=24']
Exploring Operation: 96*4=384, Resulting Numbers: [24, 384]
Generated Node #3: [24, 384] from Operation: 96*4=384
Current State: 16:[24, 384], Operations: ['56-32=24', '96*4=384']
Exploring Operation: 384/24=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[32, 96, 4, 56], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [32, 56, 24]
Generated Node #0,0: 16:[32, 56, 24] Operation: 96/4=24
Exploring Operation: 96-56=40, Resulting Numbers: [32, 4, 40]
Generated Node #0,1: 16:[32, 4, 40] Operation: 96-56=40
Exploring Operation: 96/32=3, Resulting Numbers: [4, 56, 3]
Generated Node #0,2: 16:[4, 56, 3] Operation: 96/32=3
Moving to Node #0,1
Current State: 16:[32, 4, 40], Operations: ['96-56=40']
Exploring Operation: 40-32=8, Resulting Numbers: [4, 8]
Generated Node #0,1,0: 16:[4, 8] Operation: 40-32=8
Exploring Operation: 32/4=8, Resulting Numbers: [40, 8]
Generated Node #0,1,1: 16:[40, 8] Operation: 32/4=8
Exploring Operation: 40/4=10, Resulting Numbers: [32, 10]
Generated Node #0,1,2: 16:[32, 10] Operation: 40/4=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[4, 8], Operations: ['96-56=40', '40-32=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,16 unequal: No Solution
No 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: 16:[32, 10], Operations: ['96-56=40', '40/4=10']
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,16 unequal: No Solution
Exploring Operation: 32*10=320, Resulting Numbers: [320]
320,16 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,16 unequal: No Solution
No 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: 16:[40, 8], Operations: ['96-56=40', '32/4=8']
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,16 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: 16:[4, 56, 3], Operations: ['96/32=3']
Exploring Operation: 56-4=52, Resulting Numbers: [3, 52]
Generated Node #0,2,0: 16:[3, 52] Operation: 56-4=52
Exploring Operation: 56-3=53, Resulting Numbers: [4, 53]
Generated Node #0,2,1: 16:[4, 53] Operation: 56-3=53
Exploring Operation: 56/4=14, Resulting Numbers: [3, 14]
Generated Node #0,2,2: 16:[3, 14] Operation: 56/4=14
Moving to Node #0,0
Current State: 16:[32, 56, 24], Operations: ['96/4=24']
Exploring Operation: 32-24=8, Resulting Numbers: [56, 8]
Generated Node #0,0,0: 16:[56, 8] Operation: 32-24=8
Exploring Operation: 56-24=32, Resulting Numbers: [32, 32]
Generated Node #0,0,1: 16:[32, 32] Operation: 56-24=32
Exploring Operation: 56-32=24, Resulting Numbers: [24, 24]
Generated Node #0,0,2: 16:[24, 24] Operation: 56-32=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[24, 24], Operations: ['96/4=24', '56-32=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,16 unequal: No Solution
No 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: 16:[32, 32], Operations: ['96/4=24', '56-24=32']
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,16 unequal: No Solution
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,16 unequal: No Solution
No 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: 16:[56, 8], Operations: ['96/4=24', '32-24=8']
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 56+8=64, Resulting Numbers: [64]
64,16 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 16:[3, 14], Operations: ['96/32=3', '56/4=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,16 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[3, 52], Operations: ['96/32=3', '56-4=52']
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,16 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[4, 53], Operations: ['96/32=3', '56-3=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 4*53=212, Resulting Numbers: [212]
212,16 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
17,
11,
19,
30
] | 52 | [
"19-17=2",
"11*2=22",
"30+22=52"
] | Current State: 52:[17, 11, 19, 30], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [11, 30, 2]
Generated Node #2: [11, 30, 2] from Operation: 19-17=2
Current State: 52:[11, 30, 2], Operations: ['19-17=2']
Exploring Operation: 11*2=22, Resulting Numbers: [30, 22]
Generated Node #3: [30, 22] from Operation: 11*2=22
Current State: 52:[30, 22], Operations: ['19-17=2', '11*2=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[17, 11, 19, 30], Operations: []
Exploring Operation: 19+30=49, Resulting Numbers: [17, 11, 49]
Generated Node #0,0: 52:[17, 11, 49] Operation: 19+30=49
Exploring Operation: 17+11=28, Resulting Numbers: [19, 30, 28]
Generated Node #0,1: 52:[19, 30, 28] Operation: 17+11=28
Exploring Operation: 30-17=13, Resulting Numbers: [11, 19, 13]
Generated Node #0,2: 52:[11, 19, 13] Operation: 30-17=13
Exploring Operation: 19-17=2, Resulting Numbers: [11, 30, 2]
Generated Node #0,3: 52:[11, 30, 2] Operation: 19-17=2
Exploring Operation: 30-19=11, Resulting Numbers: [17, 11, 11]
Generated Node #0,4: 52:[17, 11, 11] Operation: 30-19=11
Moving to Node #0,3
Current State: 52:[11, 30, 2], Operations: ['19-17=2']
Exploring Operation: 11*2=22, Resulting Numbers: [30, 22]
Generated Node #0,3,0: 52:[30, 22] Operation: 11*2=22
Exploring Operation: 30-2=28, Resulting Numbers: [11, 28]
Generated Node #0,3,1: 52:[11, 28] Operation: 30-2=28
Exploring Operation: 11+2=13, Resulting Numbers: [30, 13]
Generated Node #0,3,2: 52:[30, 13] Operation: 11+2=13
Exploring Operation: 30-11=19, Resulting Numbers: [2, 19]
Generated Node #0,3,3: 52:[2, 19] Operation: 30-11=19
Exploring Operation: 30/2=15, Resulting Numbers: [11, 15]
Generated Node #0,3,4: 52:[11, 15] Operation: 30/2=15
Moving to Node #0,4
Current State: 52:[17, 11, 11], Operations: ['30-19=11']
Exploring Operation: 17-11=6, Resulting Numbers: [11, 6]
Generated Node #0,4,0: 52:[11, 6] Operation: 17-11=6
Exploring Operation: 11/11=1, Resulting Numbers: [17, 1]
Generated Node #0,4,1: 52:[17, 1] Operation: 11/11=1
Exploring Operation: 17+11=28, Resulting Numbers: [11, 28]
Generated Node #0,4,2: 52:[11, 28] Operation: 17+11=28
Exploring Operation: 17+11=28, Resulting Numbers: [11, 28]
Generated Node #0,4,3: 52:[11, 28] Operation: 17+11=28
Exploring Operation: 17-11=6, Resulting Numbers: [11, 6]
Generated Node #0,4,4: 52:[11, 6] Operation: 17-11=6
Moving to Node #0,2
Current State: 52:[11, 19, 13], Operations: ['30-17=13']
Exploring Operation: 19-11=8, Resulting Numbers: [13, 8]
Generated Node #0,2,0: 52:[13, 8] Operation: 19-11=8
Exploring Operation: 11+19=30, Resulting Numbers: [13, 30]
Generated Node #0,2,1: 52:[13, 30] Operation: 11+19=30
Exploring Operation: 11+13=24, Resulting Numbers: [19, 24]
Generated Node #0,2,2: 52:[19, 24] Operation: 11+13=24
Exploring Operation: 19-13=6, Resulting Numbers: [11, 6]
Generated Node #0,2,3: 52:[11, 6] Operation: 19-13=6
Exploring Operation: 13-11=2, Resulting Numbers: [19, 2]
Generated Node #0,2,4: 52:[19, 2] Operation: 13-11=2
Moving to Node #0,0
Current State: 52:[17, 11, 49], Operations: ['19+30=49']
Exploring Operation: 17-11=6, Resulting Numbers: [49, 6]
Generated Node #0,0,0: 52:[49, 6] Operation: 17-11=6
Exploring Operation: 17+49=66, Resulting Numbers: [11, 66]
Generated Node #0,0,1: 52:[11, 66] Operation: 17+49=66
Exploring Operation: 11+49=60, Resulting Numbers: [17, 60]
Generated Node #0,0,2: 52:[17, 60] Operation: 11+49=60
Exploring Operation: 49-17=32, Resulting Numbers: [11, 32]
Generated Node #0,0,3: 52:[11, 32] Operation: 49-17=32
Exploring Operation: 17+11=28, Resulting Numbers: [49, 28]
Generated Node #0,0,4: 52:[49, 28] Operation: 17+11=28
Moving to Node #0,1
Current State: 52:[19, 30, 28], Operations: ['17+11=28']
Exploring Operation: 28-19=9, Resulting Numbers: [30, 9]
Generated Node #0,1,0: 52:[30, 9] Operation: 28-19=9
Exploring Operation: 19+28=47, Resulting Numbers: [30, 47]
Generated Node #0,1,1: 52:[30, 47] Operation: 19+28=47
Exploring Operation: 30-19=11, Resulting Numbers: [28, 11]
Generated Node #0,1,2: 52:[28, 11] Operation: 30-19=11
Exploring Operation: 19+30=49, Resulting Numbers: [28, 49]
Generated Node #0,1,3: 52:[28, 49] Operation: 19+30=49
Exploring Operation: 30-28=2, Resulting Numbers: [19, 2]
Generated Node #0,1,4: 52:[19, 2] Operation: 30-28=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 52:[28, 11], Operations: ['17+11=28', '30-19=11']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 52:[28, 49], Operations: ['17+11=28', '19+30=49']
Exploring Operation: 28*49=1372, Resulting Numbers: [1372]
1372,52 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 52:[19, 2], Operations: ['17+11=28', '30-28=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[30, 9], Operations: ['17+11=28', '28-19=9']
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[30, 47], Operations: ['17+11=28', '19+28=47']
Exploring Operation: 30*47=1410, Resulting Numbers: [1410]
1410,52 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 52:[11, 28], Operations: ['19-17=2', '30-2=28']
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,52 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Moving to Node #0,3,4
Current State: 52:[11, 15], Operations: ['19-17=2', '30/2=15']
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,52 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Moving to Node #0,4,2
Current State: 52:[11, 28], Operations: ['30-19=11', '17+11=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,52 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Moving to Node #0,4,0
Current State: 52:[11, 6], Operations: ['30-19=11', '17-11=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[11, 6], Operations: ['30-17=13', '19-13=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[13, 30], Operations: ['30-17=13', '11+19=30']
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,52 unequal: No Solution
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[30, 13], Operations: ['19-17=2', '11+2=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[13, 8], Operations: ['30-17=13', '19-11=8']
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,52 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[11, 28], Operations: ['30-19=11', '17+11=28']
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,52 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[11, 6], Operations: ['30-19=11', '17-11=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[49, 28], Operations: ['19+30=49', '17+11=28']
Exploring Operation: 49+28=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 49*28=1372, Resulting Numbers: [1372]
1372,52 unequal: No Solution
Moving to Node #0,4,1
Current State: 52:[17, 1], Operations: ['30-19=11', '11/11=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[49, 6], Operations: ['19+30=49', '17-11=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 49*6=294, Resulting Numbers: [294]
294,52 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[19, 2], Operations: ['30-17=13', '13-11=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[2, 19], Operations: ['19-17=2', '30-11=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[11, 32], Operations: ['19+30=49', '49-17=32']
Exploring Operation: 11*32=352, Resulting Numbers: [352]
352,52 unequal: No Solution
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[19, 24], Operations: ['30-17=13', '11+13=24']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,52 unequal: No Solution
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[30, 22], Operations: ['19-17=2', '11*2=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[17, 11, 19, 30], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [11, 30, 2]
Generated Node #0,3: 52:[11, 30, 2] Operation: 19-17=2
Moving to Node #0,3
Current State: 52:[11, 30, 2], Operations: ['19-17=2']
Exploring Operation: 11*2=22, Resulting Numbers: [30, 22]
Generated Node #0,3,0: 52:[30, 22] Operation: 11*2=22
Moving to Node #0,3,0
Current State: 52:[30, 22], Operations: ['19-17=2', '11*2=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.911458 | hs_5 | mult_heuristic |
[
10,
55,
31,
17
] | 77 | [
"31-17=14",
"55*14=770",
"770/10=77"
] | Current State: 77:[10, 55, 31, 17], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [10, 55, 14]
Generated Node #2: [10, 55, 14] from Operation: 31-17=14
Current State: 77:[10, 55, 14], Operations: ['31-17=14']
Exploring Operation: 55*14=770, Resulting Numbers: [10, 770]
Generated Node #3: [10, 770] from Operation: 55*14=770
Current State: 77:[10, 770], Operations: ['31-17=14', '55*14=770']
Exploring Operation: 770/10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[10, 55, 31, 17], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [10, 55, 14]
Generated Node #0,0: 77:[10, 55, 14] Operation: 31-17=14
Exploring Operation: 55-31=24, Resulting Numbers: [10, 17, 24]
Generated Node #0,1: 77:[10, 17, 24] Operation: 55-31=24
Exploring Operation: 55+31=86, Resulting Numbers: [10, 17, 86]
Generated Node #0,2: 77:[10, 17, 86] Operation: 55+31=86
Exploring Operation: 55+17=72, Resulting Numbers: [10, 31, 72]
Generated Node #0,3: 77:[10, 31, 72] Operation: 55+17=72
Moving to Node #0,2
Current State: 77:[10, 17, 86], Operations: ['55+31=86']
Exploring Operation: 86-10=76, Resulting Numbers: [17, 76]
Generated Node #0,2,0: 77:[17, 76] Operation: 86-10=76
Exploring Operation: 10+17=27, Resulting Numbers: [86, 27]
Generated Node #0,2,1: 77:[86, 27] Operation: 10+17=27
Exploring Operation: 86-17=69, Resulting Numbers: [10, 69]
Generated Node #0,2,2: 77:[10, 69] Operation: 86-17=69
Exploring Operation: 17-10=7, Resulting Numbers: [86, 7]
Generated Node #0,2,3: 77:[86, 7] Operation: 17-10=7
Moving to Node #0,1
Current State: 77:[10, 17, 24], Operations: ['55-31=24']
Exploring Operation: 24-17=7, Resulting Numbers: [10, 7]
Generated Node #0,1,0: 77:[10, 7] Operation: 24-17=7
Exploring Operation: 24-10=14, Resulting Numbers: [17, 14]
Generated Node #0,1,1: 77:[17, 14] Operation: 24-10=14
Exploring Operation: 17-10=7, Resulting Numbers: [24, 7]
Generated Node #0,1,2: 77:[24, 7] Operation: 17-10=7
Exploring Operation: 10+17=27, Resulting Numbers: [24, 27]
Generated Node #0,1,3: 77:[24, 27] Operation: 10+17=27
Moving to Node #0,3
Current State: 77:[10, 31, 72], Operations: ['55+17=72']
Exploring Operation: 31+72=103, Resulting Numbers: [10, 103]
Generated Node #0,3,0: 77:[10, 103] Operation: 31+72=103
Exploring Operation: 72-31=41, Resulting Numbers: [10, 41]
Generated Node #0,3,1: 77:[10, 41] Operation: 72-31=41
Exploring Operation: 10+72=82, Resulting Numbers: [31, 82]
Generated Node #0,3,2: 77:[31, 82] Operation: 10+72=82
Exploring Operation: 31-10=21, Resulting Numbers: [72, 21]
Generated Node #0,3,3: 77:[72, 21] Operation: 31-10=21
Moving to Node #0,0
Current State: 77:[10, 55, 14], Operations: ['31-17=14']
Exploring Operation: 14-10=4, Resulting Numbers: [55, 4]
Generated Node #0,0,0: 77:[55, 4] Operation: 14-10=4
Exploring Operation: 55-14=41, Resulting Numbers: [10, 41]
Generated Node #0,0,1: 77:[10, 41] Operation: 55-14=41
Exploring Operation: 10+55=65, Resulting Numbers: [14, 65]
Generated Node #0,0,2: 77:[14, 65] Operation: 10+55=65
Exploring Operation: 55+14=69, Resulting Numbers: [10, 69]
Generated Node #0,0,3: 77:[10, 69] Operation: 55+14=69
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[10, 69], Operations: ['31-17=14', '55+14=69']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,77 unequal: No Solution
Exploring Operation: 10+69=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Exploring Operation: 10*69=690, Resulting Numbers: [690]
690,77 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 #0,0,2
Current State: 77:[14, 65], Operations: ['31-17=14', '10+55=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Exploring Operation: 14*65=910, Resulting Numbers: [910]
910,77 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,77 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 #0,0,0
Current State: 77:[55, 4], Operations: ['31-17=14', '14-10=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,77 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,77 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 #0,0,1
Current State: 77:[10, 41], Operations: ['31-17=14', '55-14=41']
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,77 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,77 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: 77:[10, 7], Operations: ['55-31=24', '24-17=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[17, 76], Operations: ['55+31=86', '86-10=76']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,77 unequal: No Solution
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[86, 7], Operations: ['55+31=86', '17-10=7']
Exploring Operation: 86*7=602, Resulting Numbers: [602]
602,77 unequal: No Solution
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Exploring Operation: 86+7=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[17, 14], Operations: ['55-31=24', '24-10=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,77 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[10, 69], Operations: ['55+31=86', '86-17=69']
Exploring Operation: 10*69=690, Resulting Numbers: [690]
690,77 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,77 unequal: No Solution
Exploring Operation: 10+69=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[24, 7], Operations: ['55-31=24', '17-10=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,77 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[72, 21], Operations: ['55+17=72', '31-10=21']
Exploring Operation: 72+21=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 72*21=1512, Resulting Numbers: [1512]
1512,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[31, 82], Operations: ['55+17=72', '10+72=82']
Exploring Operation: 31+82=113, Resulting Numbers: [113]
113,77 unequal: No Solution
Exploring Operation: 31*82=2542, Resulting Numbers: [2542]
2542,77 unequal: No Solution
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[86, 27], Operations: ['55+31=86', '10+17=27']
Exploring Operation: 86+27=113, Resulting Numbers: [113]
113,77 unequal: No Solution
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,77 unequal: No Solution
Exploring Operation: 86*27=2322, Resulting Numbers: [2322]
2322,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[10, 103], Operations: ['55+17=72', '31+72=103']
Exploring Operation: 10+103=113, Resulting Numbers: [113]
113,77 unequal: No Solution
Exploring Operation: 10*103=1030, Resulting Numbers: [1030]
1030,77 unequal: No Solution
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[24, 27], Operations: ['55-31=24', '10+17=27']
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,77 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[10, 41], Operations: ['55+17=72', '72-31=41']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,77 unequal: No Solution
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,77 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
3,
1,
15,
34
] | 56 | [
"34-15=19",
"3*19=57",
"57-1=56"
] | Current State: 56:[3, 1, 15, 34], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [3, 1, 19]
Generated Node #2: [3, 1, 19] from Operation: 34-15=19
Current State: 56:[3, 1, 19], Operations: ['34-15=19']
Exploring Operation: 3*19=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 3*19=57
Current State: 56:[1, 57], Operations: ['34-15=19', '3*19=57']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[3, 1, 15, 34], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [15, 34, 4]
Generated Node #0,0: 56:[15, 34, 4] Operation: 3+1=4
Exploring Operation: 34-3=31, Resulting Numbers: [1, 15, 31]
Generated Node #0,1: 56:[1, 15, 31] Operation: 34-3=31
Moving to Node #0,1
Current State: 56:[1, 15, 31], Operations: ['34-3=31']
Exploring Operation: 31-1=30, Resulting Numbers: [15, 30]
Generated Node #0,1,0: 56:[15, 30] Operation: 31-1=30
Exploring Operation: 15-1=14, Resulting Numbers: [31, 14]
Generated Node #0,1,1: 56:[31, 14] Operation: 15-1=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[15, 30], Operations: ['34-3=31', '31-1=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,56 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:[31, 14], Operations: ['34-3=31', '15-1=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,56 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:[15, 34, 4], Operations: ['3+1=4']
Exploring Operation: 34-4=30, Resulting Numbers: [15, 30]
Generated Node #0,0,0: 56:[15, 30] Operation: 34-4=30
Exploring Operation: 34-15=19, Resulting Numbers: [4, 19]
Generated Node #0,0,1: 56:[4, 19] Operation: 34-15=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[15, 30], Operations: ['3+1=4', '34-4=30']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,56 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 #0,0,1
Current State: 56:[4, 19], Operations: ['3+1=4', '34-15=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,56 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 |
[
91,
35,
63,
25
] | 46 | [
"63*25=1575",
"1575/35=45",
"91-45=46"
] | Current State: 46:[91, 35, 63, 25], Operations: []
Exploring Operation: 63*25=1575, Resulting Numbers: [91, 35, 1575]
Generated Node #2: [91, 35, 1575] from Operation: 63*25=1575
Current State: 46:[91, 35, 1575], Operations: ['63*25=1575']
Exploring Operation: 1575/35=45, Resulting Numbers: [91, 45]
Generated Node #3: [91, 45] from Operation: 1575/35=45
Current State: 46:[91, 45], Operations: ['63*25=1575', '1575/35=45']
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[91, 35, 63, 25], Operations: []
Exploring Operation: 91-63=28, Resulting Numbers: [35, 25, 28]
Generated Node #0,0: 46:[35, 25, 28] Operation: 91-63=28
Moving to Node #0,0
Current State: 46:[35, 25, 28], Operations: ['91-63=28']
Exploring Operation: 35-28=7, Resulting Numbers: [25, 7]
Generated Node #0,0,0: 46:[25, 7] Operation: 35-28=7
Moving to Node #0,0,0
Current State: 46:[25, 7], Operations: ['91-63=28', '35-28=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,46 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
40,
70,
61,
14
] | 45 | [
"70-40=30",
"61+14=75",
"75-30=45"
] | Current State: 45:[40, 70, 61, 14], Operations: []
Exploring Operation: 70-40=30, Resulting Numbers: [61, 14, 30]
Generated Node #2: [61, 14, 30] from Operation: 70-40=30
Current State: 45:[61, 14, 30], Operations: ['70-40=30']
Exploring Operation: 61+14=75, Resulting Numbers: [30, 75]
Generated Node #3: [30, 75] from Operation: 61+14=75
Current State: 45:[30, 75], Operations: ['70-40=30', '61+14=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[40, 70, 61, 14], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [40, 61, 5]
Generated Node #0,0: 45:[40, 61, 5] Operation: 70/14=5
Exploring Operation: 70-61=9, Resulting Numbers: [40, 14, 9]
Generated Node #0,1: 45:[40, 14, 9] Operation: 70-61=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[40, 14, 9], Operations: ['70-61=9']
Exploring Operation: 14-9=5, Resulting Numbers: [40, 5]
Generated Node #0,1,0: 45:[40, 5] Operation: 14-9=5
Exploring Operation: 40+9=49, Resulting Numbers: [14, 49]
Generated Node #0,1,1: 45:[14, 49] Operation: 40+9=49
Moving to Node #0,1,0
Current State: 45:[40, 5], Operations: ['70-61=9', '14-9=5']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,45 unequal: No Solution
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[40, 70, 61, 14], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [40, 14, 9]
Generated Node #0,1: 45:[40, 14, 9] Operation: 70-61=9
Moving to Node #0,1
Current State: 45:[40, 14, 9], Operations: ['70-61=9']
Exploring Operation: 14-9=5, Resulting Numbers: [40, 5]
Generated Node #0,1,0: 45:[40, 5] Operation: 14-9=5
Moving to Node #0,1,0
Current State: 45:[40, 5], Operations: ['70-61=9', '14-9=5']
Exploring Operation: 40+5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
22,
66,
42,
32
] | 46 | [
"66/22=3",
"42/3=14",
"32+14=46"
] | Current State: 46:[22, 66, 42, 32], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [42, 32, 3]
Generated Node #2: [42, 32, 3] from Operation: 66/22=3
Current State: 46:[42, 32, 3], Operations: ['66/22=3']
Exploring Operation: 42/3=14, Resulting Numbers: [32, 14]
Generated Node #3: [32, 14] from Operation: 42/3=14
Current State: 46:[32, 14], Operations: ['66/22=3', '42/3=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[22, 66, 42, 32], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [42, 32, 3]
Generated Node #0,0: 46:[42, 32, 3] Operation: 66/22=3
Exploring Operation: 66-42=24, Resulting Numbers: [22, 32, 24]
Generated Node #0,1: 46:[22, 32, 24] Operation: 66-42=24
Moving to Node #0,1
Current State: 46:[22, 32, 24], Operations: ['66-42=24']
Exploring Operation: 22+32=54, Resulting Numbers: [24, 54]
Generated Node #0,1,0: 46:[24, 54] Operation: 22+32=54
Exploring Operation: 32-24=8, Resulting Numbers: [22, 8]
Generated Node #0,1,1: 46:[22, 8] Operation: 32-24=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[22, 8], Operations: ['66-42=24', '32-24=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,46 unequal: No Solution
No 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: 46:[24, 54], Operations: ['66-42=24', '22+32=54']
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,46 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: 46:[42, 32, 3], Operations: ['66/22=3']
Exploring Operation: 42+3=45, Resulting Numbers: [32, 45]
Generated Node #0,0,0: 46:[32, 45] Operation: 42+3=45
Exploring Operation: 42-32=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 46:[3, 10] Operation: 42-32=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[3, 10], Operations: ['66/22=3', '42-32=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,46 unequal: No Solution
No 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: 46:[32, 45], Operations: ['66/22=3', '42+3=45']
Exploring Operation: 32+45=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,46 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 |
[
89,
5,
75,
48
] | 67 | [
"89+5=94",
"75-48=27",
"94-27=67"
] | Current State: 67:[89, 5, 75, 48], Operations: []
Exploring Operation: 89+5=94, Resulting Numbers: [75, 48, 94]
Generated Node #2: [75, 48, 94] from Operation: 89+5=94
Current State: 67:[75, 48, 94], Operations: ['89+5=94']
Exploring Operation: 75-48=27, Resulting Numbers: [94, 27]
Generated Node #3: [94, 27] from Operation: 75-48=27
Current State: 67:[94, 27], Operations: ['89+5=94', '75-48=27']
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[89, 5, 75, 48], Operations: []
Exploring Operation: 75-5=70, Resulting Numbers: [89, 48, 70]
Generated Node #0,0: 67:[89, 48, 70] Operation: 75-5=70
Exploring Operation: 89-5=84, Resulting Numbers: [75, 48, 84]
Generated Node #0,1: 67:[75, 48, 84] Operation: 89-5=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[89, 48, 70], Operations: ['75-5=70']
Exploring Operation: 89-48=41, Resulting Numbers: [70, 41]
Generated Node #0,0,0: 67:[70, 41] Operation: 89-48=41
Exploring Operation: 89-70=19, Resulting Numbers: [48, 19]
Generated Node #0,0,1: 67:[48, 19] Operation: 89-70=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[70, 41], Operations: ['75-5=70', '89-48=41']
Exploring Operation: 70+41=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Exploring Operation: 70-41=29, Resulting Numbers: [29]
29,67 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:[48, 19], Operations: ['75-5=70', '89-70=19']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,67 unequal: No Solution
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[89, 5, 75, 48], Operations: []
Exploring Operation: 75-5=70, Resulting Numbers: [89, 48, 70]
Generated Node #0,0: 67:[89, 48, 70] Operation: 75-5=70
Moving to Node #0,0
Current State: 67:[89, 48, 70], Operations: ['75-5=70']
Exploring Operation: 89-70=19, Resulting Numbers: [48, 19]
Generated Node #0,0,1: 67:[48, 19] Operation: 89-70=19
Moving to Node #0,0,1
Current State: 67:[48, 19], Operations: ['75-5=70', '89-70=19']
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
50,
36,
33,
11
] | 13 | [
"50-11=39",
"36-33=3",
"39/3=13"
] | Current State: 13:[50, 36, 33, 11], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [36, 33, 39]
Generated Node #2: [36, 33, 39] from Operation: 50-11=39
Current State: 13:[36, 33, 39], Operations: ['50-11=39']
Exploring Operation: 36-33=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 36-33=3
Current State: 13:[39, 3], Operations: ['50-11=39', '36-33=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[50, 36, 33, 11], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [33, 11, 14]
Generated Node #0,0: 13:[33, 11, 14] Operation: 50-36=14
Exploring Operation: 50-33=17, Resulting Numbers: [36, 11, 17]
Generated Node #0,1: 13:[36, 11, 17] Operation: 50-33=17
Exploring Operation: 50-11=39, Resulting Numbers: [36, 33, 39]
Generated Node #0,2: 13:[36, 33, 39] Operation: 50-11=39
Exploring Operation: 36-33=3, Resulting Numbers: [50, 11, 3]
Generated Node #0,3: 13:[50, 11, 3] Operation: 36-33=3
Exploring Operation: 36-11=25, Resulting Numbers: [50, 33, 25]
Generated Node #0,4: 13:[50, 33, 25] Operation: 36-11=25
Moving to Node #0,0
Current State: 13:[33, 11, 14], Operations: ['50-36=14']
Exploring Operation: 33-14=19, Resulting Numbers: [11, 19]
Generated Node #0,0,0: 13:[11, 19] Operation: 33-14=19
Exploring Operation: 33-11=22, Resulting Numbers: [14, 22]
Generated Node #0,0,1: 13:[14, 22] Operation: 33-11=22
Exploring Operation: 33+11=44, Resulting Numbers: [14, 44]
Generated Node #0,0,2: 13:[14, 44] Operation: 33+11=44
Exploring Operation: 14-11=3, Resulting Numbers: [33, 3]
Generated Node #0,0,3: 13:[33, 3] Operation: 14-11=3
Exploring Operation: 33/11=3, Resulting Numbers: [14, 3]
Generated Node #0,0,4: 13:[14, 3] Operation: 33/11=3
Moving to Node #0,1
Current State: 13:[36, 11, 17], Operations: ['50-33=17']
Exploring Operation: 36-17=19, Resulting Numbers: [11, 19]
Generated Node #0,1,0: 13:[11, 19] Operation: 36-17=19
Exploring Operation: 36-11=25, Resulting Numbers: [17, 25]
Generated Node #0,1,1: 13:[17, 25] Operation: 36-11=25
Exploring Operation: 11+17=28, Resulting Numbers: [36, 28]
Generated Node #0,1,2: 13:[36, 28] Operation: 11+17=28
Exploring Operation: 36+11=47, Resulting Numbers: [17, 47]
Generated Node #0,1,3: 13:[17, 47] Operation: 36+11=47
Exploring Operation: 17-11=6, Resulting Numbers: [36, 6]
Generated Node #0,1,4: 13:[36, 6] Operation: 17-11=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[11, 19], Operations: ['50-33=17', '36-17=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,13 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[17, 25], Operations: ['50-33=17', '36-11=25']
Exploring Operation: 17*25=425, Resulting Numbers: [425]
425,13 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,13 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 #0,1,4
Current State: 13:[36, 6], Operations: ['50-33=17', '17-11=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,13 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 #0,1,2
Current State: 13:[36, 28], Operations: ['50-33=17', '11+17=28']
Exploring Operation: 36*28=1008, Resulting Numbers: [1008]
1008,13 unequal: No Solution
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,13 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,13 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 #0,1,3
Current State: 13:[17, 47], Operations: ['50-33=17', '36+11=47']
Exploring Operation: 17*47=799, Resulting Numbers: [799]
799,13 unequal: No Solution
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,13 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,13 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: 13:[50, 11, 3], Operations: ['36-33=3']
Exploring Operation: 11+3=14, Resulting Numbers: [50, 14]
Generated Node #0,3,0: 13:[50, 14] Operation: 11+3=14
Exploring Operation: 50+3=53, Resulting Numbers: [11, 53]
Generated Node #0,3,1: 13:[11, 53] Operation: 50+3=53
Exploring Operation: 50-11=39, Resulting Numbers: [3, 39]
Generated Node #0,3,2: 13:[3, 39] Operation: 50-11=39
Exploring Operation: 50-3=47, Resulting Numbers: [11, 47]
Generated Node #0,3,3: 13:[11, 47] Operation: 50-3=47
Exploring Operation: 11-3=8, Resulting Numbers: [50, 8]
Generated Node #0,3,4: 13:[50, 8] Operation: 11-3=8
Moving to Node #0,2
Current State: 13:[36, 33, 39], Operations: ['50-11=39']
Exploring Operation: 36+39=75, Resulting Numbers: [33, 75]
Generated Node #0,2,0: 13:[33, 75] Operation: 36+39=75
Exploring Operation: 39-33=6, Resulting Numbers: [36, 6]
Generated Node #0,2,1: 13:[36, 6] Operation: 39-33=6
Exploring Operation: 36+33=69, Resulting Numbers: [39, 69]
Generated Node #0,2,2: 13:[39, 69] Operation: 36+33=69
Exploring Operation: 39-36=3, Resulting Numbers: [33, 3]
Generated Node #0,2,3: 13:[33, 3] Operation: 39-36=3
Exploring Operation: 36-33=3, Resulting Numbers: [39, 3]
Generated Node #0,2,4: 13:[39, 3] Operation: 36-33=3
Moving to Node #0,4
Current State: 13:[50, 33, 25], Operations: ['36-11=25']
Exploring Operation: 33-25=8, Resulting Numbers: [50, 8]
Generated Node #0,4,0: 13:[50, 8] Operation: 33-25=8
Exploring Operation: 50+33=83, Resulting Numbers: [25, 83]
Generated Node #0,4,1: 13:[25, 83] Operation: 50+33=83
Exploring Operation: 50/25=2, Resulting Numbers: [33, 2]
Generated Node #0,4,2: 13:[33, 2] Operation: 50/25=2
Exploring Operation: 50-33=17, Resulting Numbers: [25, 17]
Generated Node #0,4,3: 13:[25, 17] Operation: 50-33=17
Exploring Operation: 50-25=25, Resulting Numbers: [33, 25]
Generated Node #0,4,4: 13:[33, 25] Operation: 50-25=25
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 13:[25, 17], Operations: ['36-11=25', '50-33=17']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 13:[33, 2], Operations: ['36-11=25', '50/25=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 13:[33, 25], Operations: ['36-11=25', '50-25=25']
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,13 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 13:[50, 8], Operations: ['36-11=25', '33-25=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,13 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 13:[25, 83], Operations: ['36-11=25', '50+33=83']
Exploring Operation: 25*83=2075, Resulting Numbers: [2075]
2075,13 unequal: No Solution
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 25+83=108, Resulting Numbers: [108]
108,13 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: 13:[11, 19], Operations: ['50-36=14', '33-14=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[14, 22], Operations: ['50-36=14', '33-11=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,13 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Moving to Node #0,0,4
Current State: 13:[14, 3], Operations: ['50-36=14', '33/11=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[33, 3], Operations: ['50-11=39', '39-36=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,13 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[36, 6], Operations: ['50-11=39', '39-33=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,13 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[33, 3], Operations: ['50-36=14', '14-11=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,13 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[14, 44], Operations: ['50-36=14', '33+11=44']
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,13 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[11, 47], Operations: ['36-33=3', '50-3=47']
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 11*47=517, Resulting Numbers: [517]
517,13 unequal: No Solution
Moving to Node #0,2,4
Current State: 13:[39, 3], Operations: ['50-11=39', '36-33=3']
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,13 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[50, 36, 33, 11], Operations: []
Exploring Operation: 50-11=39, Resulting Numbers: [36, 33, 39]
Generated Node #0,2: 13:[36, 33, 39] Operation: 50-11=39
Moving to Node #0,2
Current State: 13:[36, 33, 39], Operations: ['50-11=39']
Exploring Operation: 36-33=3, Resulting Numbers: [39, 3]
Generated Node #0,2,4: 13:[39, 3] Operation: 36-33=3
Moving to Node #0,2,4
Current State: 13:[39, 3], Operations: ['50-11=39', '36-33=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.917535 | hs_5 | sum_heuristic |
[
88,
10,
68,
34
] | 54 | [
"88*34=2992",
"2992/68=44",
"10+44=54"
] | Current State: 54:[88, 10, 68, 34], Operations: []
Exploring Operation: 88*34=2992, Resulting Numbers: [10, 68, 2992]
Generated Node #2: [10, 68, 2992] from Operation: 88*34=2992
Current State: 54:[10, 68, 2992], Operations: ['88*34=2992']
Exploring Operation: 2992/68=44, Resulting Numbers: [10, 44]
Generated Node #3: [10, 44] from Operation: 2992/68=44
Current State: 54:[10, 44], Operations: ['88*34=2992', '2992/68=44']
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[88, 10, 68, 34], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [10, 34, 20]
Generated Node #0,0: 54:[10, 34, 20] Operation: 88-68=20
Exploring Operation: 68/34=2, Resulting Numbers: [88, 10, 2]
Generated Node #0,1: 54:[88, 10, 2] Operation: 68/34=2
Exploring Operation: 88-34=54, Resulting Numbers: [10, 68, 54]
Generated Node #0,2: 54:[10, 68, 54] Operation: 88-34=54
Moving to Node #0,0
Current State: 54:[10, 34, 20], Operations: ['88-68=20']
Exploring Operation: 34+20=54, Resulting Numbers: [10, 54]
Generated Node #0,0,0: 54:[10, 54] Operation: 34+20=54
Exploring Operation: 34-20=14, Resulting Numbers: [10, 14]
Generated Node #0,0,1: 54:[10, 14] Operation: 34-20=14
Exploring Operation: 34-10=24, Resulting Numbers: [20, 24]
Generated Node #0,0,2: 54:[20, 24] Operation: 34-10=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[10, 54], Operations: ['88-68=20', '34+20=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 10*54=540, Resulting Numbers: [540]
540,54 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,54 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:[10, 14], Operations: ['88-68=20', '34-20=14']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,54 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 #0,0,2
Current State: 54:[20, 24], Operations: ['88-68=20', '34-10=24']
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,54 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,54 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: 54:[10, 68, 54], Operations: ['88-34=54']
Exploring Operation: 10+68=78, Resulting Numbers: [54, 78]
Generated Node #0,2,0: 54:[54, 78] Operation: 10+68=78
Exploring Operation: 68-54=14, Resulting Numbers: [10, 14]
Generated Node #0,2,1: 54:[10, 14] Operation: 68-54=14
Exploring Operation: 68-10=58, Resulting Numbers: [54, 58]
Generated Node #0,2,2: 54:[54, 58] Operation: 68-10=58
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[54, 58], Operations: ['88-34=54', '68-10=58']
Exploring Operation: 54*58=3132, Resulting Numbers: [3132]
3132,54 unequal: No Solution
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 54+58=112, Resulting Numbers: [112]
112,54 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 #0,2,1
Current State: 54:[10, 14], Operations: ['88-34=54', '68-54=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,54 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 #0,2,0
Current State: 54:[54, 78], Operations: ['88-34=54', '10+68=78']
Exploring Operation: 54*78=4212, Resulting Numbers: [4212]
4212,54 unequal: No Solution
Exploring Operation: 54+78=132, Resulting Numbers: [132]
132,54 unequal: No Solution
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,54 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:[88, 10, 2], Operations: ['68/34=2']
Exploring Operation: 88-10=78, Resulting Numbers: [2, 78]
Generated Node #0,1,0: 54:[2, 78] Operation: 88-10=78
Exploring Operation: 88-2=86, Resulting Numbers: [10, 86]
Generated Node #0,1,1: 54:[10, 86] Operation: 88-2=86
Exploring Operation: 88/2=44, Resulting Numbers: [10, 44]
Generated Node #0,1,2: 54:[10, 44] Operation: 88/2=44
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[10, 44], Operations: ['68/34=2', '88/2=44']
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[88, 10, 68, 34], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [88, 10, 2]
Generated Node #0,1: 54:[88, 10, 2] Operation: 68/34=2
Moving to Node #0,1
Current State: 54:[88, 10, 2], Operations: ['68/34=2']
Exploring Operation: 88/2=44, Resulting Numbers: [10, 44]
Generated Node #0,1,2: 54:[10, 44] Operation: 88/2=44
Moving to Node #0,1,2
Current State: 54:[10, 44], Operations: ['68/34=2', '88/2=44']
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | mult_heuristic |
[
58,
31,
57,
46
] | 77 | [
"58-57=1",
"31+46=77",
"1*77=77"
] | Current State: 77:[58, 31, 57, 46], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [31, 46, 1]
Generated Node #2: [31, 46, 1] from Operation: 58-57=1
Current State: 77:[31, 46, 1], Operations: ['58-57=1']
Exploring Operation: 31+46=77, Resulting Numbers: [1, 77]
Generated Node #3: [1, 77] from Operation: 31+46=77
Current State: 77:[1, 77], Operations: ['58-57=1', '31+46=77']
Exploring Operation: 1*77=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[58, 31, 57, 46], Operations: []
Exploring Operation: 31+46=77, Resulting Numbers: [58, 57, 77]
Generated Node #0,0: 77:[58, 57, 77] Operation: 31+46=77
Exploring Operation: 57-46=11, Resulting Numbers: [58, 31, 11]
Generated Node #0,1: 77:[58, 31, 11] Operation: 57-46=11
Moving to Node #0,0
Current State: 77:[58, 57, 77], Operations: ['31+46=77']
Exploring Operation: 77-58=19, Resulting Numbers: [57, 19]
Generated Node #0,0,0: 77:[57, 19] Operation: 77-58=19
Exploring Operation: 58-57=1, Resulting Numbers: [77, 1]
Generated Node #0,0,1: 77:[77, 1] Operation: 58-57=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[77, 1], Operations: ['31+46=77', '58-57=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[58, 31, 57, 46], Operations: []
Exploring Operation: 31+46=77, Resulting Numbers: [58, 57, 77]
Generated Node #0,0: 77:[58, 57, 77] Operation: 31+46=77
Moving to Node #0,0
Current State: 77:[58, 57, 77], Operations: ['31+46=77']
Exploring Operation: 58-57=1, Resulting Numbers: [77, 1]
Generated Node #0,0,1: 77:[77, 1] Operation: 58-57=1
Moving to Node #0,0,1
Current State: 77:[77, 1], Operations: ['31+46=77', '58-57=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
2,
8,
48,
42
] | 78 | [
"2*42=84",
"48/8=6",
"84-6=78"
] | Current State: 78:[2, 8, 48, 42], Operations: []
Exploring Operation: 2*42=84, Resulting Numbers: [8, 48, 84]
Generated Node #2: [8, 48, 84] from Operation: 2*42=84
Current State: 78:[8, 48, 84], Operations: ['2*42=84']
Exploring Operation: 48/8=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 48/8=6
Current State: 78:[84, 6], Operations: ['2*42=84', '48/8=6']
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[2, 8, 48, 42], Operations: []
Exploring Operation: 48-42=6, Resulting Numbers: [2, 8, 6]
Generated Node #0,0: 78:[2, 8, 6] Operation: 48-42=6
Exploring Operation: 48/8=6, Resulting Numbers: [2, 42, 6]
Generated Node #0,1: 78:[2, 42, 6] Operation: 48/8=6
Exploring Operation: 48-8=40, Resulting Numbers: [2, 42, 40]
Generated Node #0,2: 78:[2, 42, 40] Operation: 48-8=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[2, 8, 6], Operations: ['48-42=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 78:[2, 2] Operation: 8-6=2
Exploring Operation: 8/2=4, Resulting Numbers: [6, 4]
Generated Node #0,0,1: 78:[6, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [6, 6]
Generated Node #0,0,2: 78:[6, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[2, 2], Operations: ['48-42=6', '8-6=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[6, 6], Operations: ['48-42=6', '8-2=6']
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[6, 4], Operations: ['48-42=6', '8/2=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,78 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 #0,1
Current State: 78:[2, 42, 6], Operations: ['48/8=6']
Exploring Operation: 42/6=7, Resulting Numbers: [2, 7]
Generated Node #0,1,0: 78:[2, 7] Operation: 42/6=7
Exploring Operation: 42-2=40, Resulting Numbers: [6, 40]
Generated Node #0,1,1: 78:[6, 40] Operation: 42-2=40
Exploring Operation: 6/2=3, Resulting Numbers: [42, 3]
Generated Node #0,1,2: 78:[42, 3] Operation: 6/2=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[2, 7], Operations: ['48/8=6', '42/6=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,78 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 #0,1,1
Current State: 78:[6, 40], Operations: ['48/8=6', '42-2=40']
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,78 unequal: No Solution
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,78 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,78 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 #0,1,2
Current State: 78:[42, 3], Operations: ['48/8=6', '6/2=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[2, 42, 40], Operations: ['48-8=40']
Exploring Operation: 40-2=38, Resulting Numbers: [42, 38]
Generated Node #0,2,0: 78:[42, 38] Operation: 40-2=38
Exploring Operation: 42-2=40, Resulting Numbers: [40, 40]
Generated Node #0,2,1: 78:[40, 40] Operation: 42-2=40
Exploring Operation: 42-40=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 78:[2, 2] Operation: 42-40=2
Moving to Node #0,2,2
Current State: 78:[2, 2], Operations: ['48-8=40', '42-40=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[40, 40], Operations: ['48-8=40', '42-2=40']
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,78 unequal: No Solution
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[42, 38], Operations: ['48-8=40', '40-2=38']
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,78 unequal: No Solution
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,78 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,78 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 |
[
79,
24,
13,
46
] | 77 | [
"79*13=1027",
"24*46=1104",
"1104-1027=77"
] | Current State: 77:[79, 24, 13, 46], Operations: []
Exploring Operation: 79*13=1027, Resulting Numbers: [24, 46, 1027]
Generated Node #2: [24, 46, 1027] from Operation: 79*13=1027
Current State: 77:[24, 46, 1027], Operations: ['79*13=1027']
Exploring Operation: 24*46=1104, Resulting Numbers: [1027, 1104]
Generated Node #3: [1027, 1104] from Operation: 24*46=1104
Current State: 77:[1027, 1104], Operations: ['79*13=1027', '24*46=1104']
Exploring Operation: 1104-1027=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[79, 24, 13, 46], Operations: []
Exploring Operation: 24+46=70, Resulting Numbers: [79, 13, 70]
Generated Node #0,0: 77:[79, 13, 70] Operation: 24+46=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[79, 13, 70], Operations: ['24+46=70']
Exploring Operation: 79-70=9, Resulting Numbers: [13, 9]
Generated Node #0,0,0: 77:[13, 9] Operation: 79-70=9
Moving to Node #0,0,0
Current State: 77:[13, 9], Operations: ['24+46=70', '79-70=9']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
77,
55,
33,
96
] | 59 | [
"33*96=3168",
"77+3168=3245",
"3245/55=59"
] | Current State: 59:[77, 55, 33, 96], Operations: []
Exploring Operation: 33*96=3168, Resulting Numbers: [77, 55, 3168]
Generated Node #2: [77, 55, 3168] from Operation: 33*96=3168
Current State: 59:[77, 55, 3168], Operations: ['33*96=3168']
Exploring Operation: 77+3168=3245, Resulting Numbers: [55, 3245]
Generated Node #3: [55, 3245] from Operation: 77+3168=3245
Current State: 59:[55, 3245], Operations: ['33*96=3168', '77+3168=3245']
Exploring Operation: 3245/55=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[77, 55, 33, 96], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [77, 33, 41]
Generated Node #0,0: 59:[77, 33, 41] Operation: 96-55=41
Exploring Operation: 96-77=19, Resulting Numbers: [55, 33, 19]
Generated Node #0,1: 59:[55, 33, 19] Operation: 96-77=19
Exploring Operation: 77-33=44, Resulting Numbers: [55, 96, 44]
Generated Node #0,2: 59:[55, 96, 44] Operation: 77-33=44
Exploring Operation: 96-33=63, Resulting Numbers: [77, 55, 63]
Generated Node #0,3: 59:[77, 55, 63] Operation: 96-33=63
Exploring Operation: 55+33=88, Resulting Numbers: [77, 96, 88]
Generated Node #0,4: 59:[77, 96, 88] Operation: 55+33=88
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[77, 55, 63], Operations: ['96-33=63']
Exploring Operation: 55+63=118, Resulting Numbers: [77, 118]
Generated Node #0,3,0: 59:[77, 118] Operation: 55+63=118
Exploring Operation: 77-63=14, Resulting Numbers: [55, 14]
Generated Node #0,3,1: 59:[55, 14] Operation: 77-63=14
Exploring Operation: 77-55=22, Resulting Numbers: [63, 22]
Generated Node #0,3,2: 59:[63, 22] Operation: 77-55=22
Exploring Operation: 77+55=132, Resulting Numbers: [63, 132]
Generated Node #0,3,3: 59:[63, 132] Operation: 77+55=132
Exploring Operation: 63-55=8, Resulting Numbers: [77, 8]
Generated Node #0,3,4: 59:[77, 8] Operation: 63-55=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 59:[63, 22], Operations: ['96-33=63', '77-55=22']
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 63+22=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 63*22=1386, Resulting Numbers: [1386]
1386,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 59:[55, 14], Operations: ['96-33=63', '77-63=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 55*14=770, Resulting Numbers: [770]
770,59 unequal: No Solution
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 59:[77, 8], Operations: ['96-33=63', '63-55=8']
Exploring Operation: 77*8=616, Resulting Numbers: [616]
616,59 unequal: No Solution
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 59:[77, 118], Operations: ['96-33=63', '55+63=118']
Exploring Operation: 118-77=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 77+118=195, Resulting Numbers: [195]
195,59 unequal: No Solution
Exploring Operation: 77*118=9086, Resulting Numbers: [9086]
9086,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 59:[63, 132], Operations: ['96-33=63', '77+55=132']
Exploring Operation: 132-63=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 63+132=195, Resulting Numbers: [195]
195,59 unequal: No Solution
Exploring Operation: 63*132=8316, Resulting Numbers: [8316]
8316,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[55, 96, 44], Operations: ['77-33=44']
Exploring Operation: 55+44=99, Resulting Numbers: [96, 99]
Generated Node #0,2,0: 59:[96, 99] Operation: 55+44=99
Exploring Operation: 96+44=140, Resulting Numbers: [55, 140]
Generated Node #0,2,1: 59:[55, 140] Operation: 96+44=140
Exploring Operation: 55-44=11, Resulting Numbers: [96, 11]
Generated Node #0,2,2: 59:[96, 11] Operation: 55-44=11
Exploring Operation: 96-44=52, Resulting Numbers: [55, 52]
Generated Node #0,2,3: 59:[55, 52] Operation: 96-44=52
Exploring Operation: 96-55=41, Resulting Numbers: [44, 41]
Generated Node #0,2,4: 59:[44, 41] Operation: 96-55=41
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 59:[55, 52], Operations: ['77-33=44', '96-44=52']
Exploring Operation: 55+52=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 55*52=2860, Resulting Numbers: [2860]
2860,59 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 59:[44, 41], Operations: ['77-33=44', '96-55=41']
Exploring Operation: 44*41=1804, Resulting Numbers: [1804]
1804,59 unequal: No Solution
Exploring Operation: 44+41=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 59:[96, 99], Operations: ['77-33=44', '55+44=99']
Exploring Operation: 99-96=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 96*99=9504, Resulting Numbers: [9504]
9504,59 unequal: No Solution
Exploring Operation: 96+99=195, Resulting Numbers: [195]
195,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 59:[55, 140], Operations: ['77-33=44', '96+44=140']
Exploring Operation: 140-55=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 55*140=7700, Resulting Numbers: [7700]
7700,59 unequal: No Solution
Exploring Operation: 55+140=195, Resulting Numbers: [195]
195,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 59:[96, 11], Operations: ['77-33=44', '55-44=11']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 96+11=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 96*11=1056, Resulting Numbers: [1056]
1056,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[77, 33, 41], Operations: ['96-55=41']
Exploring Operation: 77+33=110, Resulting Numbers: [41, 110]
Generated Node #0,0,0: 59:[41, 110] Operation: 77+33=110
Exploring Operation: 77-33=44, Resulting Numbers: [41, 44]
Generated Node #0,0,1: 59:[41, 44] Operation: 77-33=44
Exploring Operation: 77-41=36, Resulting Numbers: [33, 36]
Generated Node #0,0,2: 59:[33, 36] Operation: 77-41=36
Exploring Operation: 33+41=74, Resulting Numbers: [77, 74]
Generated Node #0,0,3: 59:[77, 74] Operation: 33+41=74
Exploring Operation: 41-33=8, Resulting Numbers: [77, 8]
Generated Node #0,0,4: 59:[77, 8] Operation: 41-33=8
Moving to Node #0,0,1
Current State: 59:[41, 44], Operations: ['96-55=41', '77-33=44']
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,59 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[77, 74], Operations: ['96-55=41', '33+41=74']
Exploring Operation: 77*74=5698, Resulting Numbers: [5698]
5698,59 unequal: No Solution
Exploring Operation: 77+74=151, Resulting Numbers: [151]
151,59 unequal: No Solution
Exploring Operation: 77-74=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[33, 36], Operations: ['96-55=41', '77-41=36']
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 33*36=1188, Resulting Numbers: [1188]
1188,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[41, 110], Operations: ['96-55=41', '77+33=110']
Exploring Operation: 41*110=4510, Resulting Numbers: [4510]
4510,59 unequal: No Solution
Exploring Operation: 41+110=151, Resulting Numbers: [151]
151,59 unequal: No Solution
Exploring Operation: 110-41=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Moving to Node #0,0,4
Current State: 59:[77, 8], Operations: ['96-55=41', '41-33=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 77*8=616, Resulting Numbers: [616]
616,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[55, 33, 19], Operations: ['96-77=19']
Exploring Operation: 33-19=14, Resulting Numbers: [55, 14]
Generated Node #0,1,0: 59:[55, 14] Operation: 33-19=14
Exploring Operation: 55+19=74, Resulting Numbers: [33, 74]
Generated Node #0,1,1: 59:[33, 74] Operation: 55+19=74
Exploring Operation: 55+33=88, Resulting Numbers: [19, 88]
Generated Node #0,1,2: 59:[19, 88] Operation: 55+33=88
Exploring Operation: 33+19=52, Resulting Numbers: [55, 52]
Generated Node #0,1,3: 59:[55, 52] Operation: 33+19=52
Exploring Operation: 55-19=36, Resulting Numbers: [33, 36]
Generated Node #0,1,4: 59:[33, 36] Operation: 55-19=36
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 59:[55, 52], Operations: ['96-77=19', '33+19=52']
Exploring Operation: 55+52=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 55*52=2860, Resulting Numbers: [2860]
2860,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[33, 74], Operations: ['96-77=19', '55+19=74']
Exploring Operation: 33*74=2442, Resulting Numbers: [2442]
2442,59 unequal: No Solution
Exploring Operation: 33+74=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[55, 14], Operations: ['96-77=19', '33-19=14']
Exploring Operation: 55*14=770, Resulting Numbers: [770]
770,59 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 59:[33, 36], Operations: ['96-77=19', '55-19=36']
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 33*36=1188, Resulting Numbers: [1188]
1188,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 59:[19, 88], Operations: ['96-77=19', '55+33=88']
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 19+88=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 19*88=1672, Resulting Numbers: [1672]
1672,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 59:[77, 96, 88], Operations: ['55+33=88']
Exploring Operation: 96-88=8, Resulting Numbers: [77, 8]
Generated Node #0,4,0: 59:[77, 8] Operation: 96-88=8
Exploring Operation: 77+96=173, Resulting Numbers: [88, 173]
Generated Node #0,4,1: 59:[88, 173] Operation: 77+96=173
Exploring Operation: 96-77=19, Resulting Numbers: [88, 19]
Generated Node #0,4,2: 59:[88, 19] Operation: 96-77=19
Exploring Operation: 77+88=165, Resulting Numbers: [96, 165]
Generated Node #0,4,3: 59:[96, 165] Operation: 77+88=165
Exploring Operation: 88-77=11, Resulting Numbers: [96, 11]
Generated Node #0,4,4: 59:[96, 11] Operation: 88-77=11
Moving to Node #0,4,0
Current State: 59:[77, 8], Operations: ['55+33=88', '96-88=8']
Exploring Operation: 77*8=616, Resulting Numbers: [616]
616,59 unequal: No Solution
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Moving to Node #0,4,2
Current State: 59:[88, 19], Operations: ['55+33=88', '96-77=19']
Exploring Operation: 88*19=1672, Resulting Numbers: [1672]
1672,59 unequal: No Solution
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 88+19=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[96, 11], Operations: ['55+33=88', '88-77=11']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 96*11=1056, Resulting Numbers: [1056]
1056,59 unequal: No Solution
Exploring Operation: 96+11=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Moving to Node #0,4,1
Current State: 59:[88, 173], Operations: ['55+33=88', '77+96=173']
Exploring Operation: 88+173=261, Resulting Numbers: [261]
261,59 unequal: No Solution
Exploring Operation: 173-88=85, Resulting Numbers: [85]
85,59 unequal: No Solution
Exploring Operation: 88*173=15224, Resulting Numbers: [15224]
15224,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[96, 165], Operations: ['55+33=88', '77+88=165']
Exploring Operation: 165-96=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 96*165=15840, Resulting Numbers: [15840]
15840,59 unequal: No Solution
Exploring Operation: 96+165=261, Resulting Numbers: [261]
261,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
38,
53,
44,
12
] | 41 | [
"53-38=15",
"44+12=56",
"56-15=41"
] | Current State: 41:[38, 53, 44, 12], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [44, 12, 15]
Generated Node #2: [44, 12, 15] from Operation: 53-38=15
Current State: 41:[44, 12, 15], Operations: ['53-38=15']
Exploring Operation: 44+12=56, Resulting Numbers: [15, 56]
Generated Node #3: [15, 56] from Operation: 44+12=56
Current State: 41:[15, 56], Operations: ['53-38=15', '44+12=56']
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[38, 53, 44, 12], Operations: []
Exploring Operation: 38-12=26, Resulting Numbers: [53, 44, 26]
Generated Node #0,0: 41:[53, 44, 26] Operation: 38-12=26
Exploring Operation: 38+12=50, Resulting Numbers: [53, 44, 50]
Generated Node #0,1: 41:[53, 44, 50] Operation: 38+12=50
Exploring Operation: 44-12=32, Resulting Numbers: [38, 53, 32]
Generated Node #0,2: 41:[38, 53, 32] Operation: 44-12=32
Exploring Operation: 53-12=41, Resulting Numbers: [38, 44, 41]
Generated Node #0,3: 41:[38, 44, 41] Operation: 53-12=41
Moving to Node #0,3
Current State: 41:[38, 44, 41], Operations: ['53-12=41']
Exploring Operation: 41-38=3, Resulting Numbers: [44, 3]
Generated Node #0,3,0: 41:[44, 3] Operation: 41-38=3
Exploring Operation: 38+44=82, Resulting Numbers: [41, 82]
Generated Node #0,3,1: 41:[41, 82] Operation: 38+44=82
Exploring Operation: 44-38=6, Resulting Numbers: [41, 6]
Generated Node #0,3,2: 41:[41, 6] Operation: 44-38=6
Exploring Operation: 38+41=79, Resulting Numbers: [44, 79]
Generated Node #0,3,3: 41:[44, 79] Operation: 38+41=79
Moving to Node #0,2
Current State: 41:[38, 53, 32], Operations: ['44-12=32']
Exploring Operation: 53-38=15, Resulting Numbers: [32, 15]
Generated Node #0,2,0: 41:[32, 15] Operation: 53-38=15
Exploring Operation: 38+32=70, Resulting Numbers: [53, 70]
Generated Node #0,2,1: 41:[53, 70] Operation: 38+32=70
Exploring Operation: 38-32=6, Resulting Numbers: [53, 6]
Generated Node #0,2,2: 41:[53, 6] Operation: 38-32=6
Exploring Operation: 53-32=21, Resulting Numbers: [38, 21]
Generated Node #0,2,3: 41:[38, 21] Operation: 53-32=21
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[38, 21], Operations: ['44-12=32', '53-32=21']
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,41 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 #0,2,0
Current State: 41:[32, 15], Operations: ['44-12=32', '53-38=15']
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,41 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,41 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:[53, 70], Operations: ['44-12=32', '38+32=70']
Exploring Operation: 70-53=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 53+70=123, Resulting Numbers: [123]
123,41 unequal: No Solution
Exploring Operation: 53*70=3710, Resulting Numbers: [3710]
3710,41 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:[53, 6], Operations: ['44-12=32', '38-32=6']
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,41 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: 41:[53, 44, 50], Operations: ['38+12=50']
Exploring Operation: 53-50=3, Resulting Numbers: [44, 3]
Generated Node #0,1,0: 41:[44, 3] Operation: 53-50=3
Exploring Operation: 53+44=97, Resulting Numbers: [50, 97]
Generated Node #0,1,1: 41:[50, 97] Operation: 53+44=97
Exploring Operation: 53-44=9, Resulting Numbers: [50, 9]
Generated Node #0,1,2: 41:[50, 9] Operation: 53-44=9
Exploring Operation: 50-44=6, Resulting Numbers: [53, 6]
Generated Node #0,1,3: 41:[53, 6] Operation: 50-44=6
Moving to Node #0,0
Current State: 41:[53, 44, 26], Operations: ['38-12=26']
Exploring Operation: 53+26=79, Resulting Numbers: [44, 79]
Generated Node #0,0,0: 41:[44, 79] Operation: 53+26=79
Exploring Operation: 44-26=18, Resulting Numbers: [53, 18]
Generated Node #0,0,1: 41:[53, 18] Operation: 44-26=18
Exploring Operation: 53-26=27, Resulting Numbers: [44, 27]
Generated Node #0,0,2: 41:[44, 27] Operation: 53-26=27
Exploring Operation: 44+26=70, Resulting Numbers: [53, 70]
Generated Node #0,0,3: 41:[53, 70] Operation: 44+26=70
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[44, 27], Operations: ['38-12=26', '53-26=27']
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,41 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,41 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 #0,0,1
Current State: 41:[53, 18], Operations: ['38-12=26', '44-26=18']
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,41 unequal: No Solution
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,41 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 #0,0,0
Current State: 41:[44, 79], Operations: ['38-12=26', '53+26=79']
Exploring Operation: 44+79=123, Resulting Numbers: [123]
123,41 unequal: No Solution
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 44*79=3476, Resulting Numbers: [3476]
3476,41 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 #0,0,3
Current State: 41:[53, 70], Operations: ['38-12=26', '44+26=70']
Exploring Operation: 70-53=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 53+70=123, Resulting Numbers: [123]
123,41 unequal: No Solution
Exploring Operation: 53*70=3710, Resulting Numbers: [3710]
3710,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 41:[41, 6], Operations: ['53-12=41', '44-38=6']
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,41 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[41, 82], Operations: ['53-12=41', '38+44=82']
Exploring Operation: 41+82=123, Resulting Numbers: [123]
123,41 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[38, 53, 44, 12], Operations: []
Exploring Operation: 53-12=41, Resulting Numbers: [38, 44, 41]
Generated Node #0,3: 41:[38, 44, 41] Operation: 53-12=41
Moving to Node #0,3
Current State: 41:[38, 44, 41], Operations: ['53-12=41']
Exploring Operation: 38+44=82, Resulting Numbers: [41, 82]
Generated Node #0,3,1: 41:[41, 82] Operation: 38+44=82
Moving to Node #0,3,1
Current State: 41:[41, 82], Operations: ['53-12=41', '38+44=82']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.953125 | hs_4 | sum_heuristic |
[
99,
43,
3,
70
] | 80 | [
"99/3=33",
"43+70=113",
"113-33=80"
] | Current State: 80:[99, 43, 3, 70], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [43, 70, 33]
Generated Node #2: [43, 70, 33] from Operation: 99/3=33
Current State: 80:[43, 70, 33], Operations: ['99/3=33']
Exploring Operation: 43+70=113, Resulting Numbers: [33, 113]
Generated Node #3: [33, 113] from Operation: 43+70=113
Current State: 80:[33, 113], Operations: ['99/3=33', '43+70=113']
Exploring Operation: 113-33=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[99, 43, 3, 70], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [43, 3, 29]
Generated Node #0,0: 80:[43, 3, 29] Operation: 99-70=29
Exploring Operation: 99/3=33, Resulting Numbers: [43, 70, 33]
Generated Node #0,1: 80:[43, 70, 33] Operation: 99/3=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[43, 3, 29], Operations: ['99-70=29']
Exploring Operation: 43-3=40, Resulting Numbers: [29, 40]
Generated Node #0,0,0: 80:[29, 40] Operation: 43-3=40
Exploring Operation: 43-29=14, Resulting Numbers: [3, 14]
Generated Node #0,0,1: 80:[3, 14] Operation: 43-29=14
Moving to Node #0,0,1
Current State: 80:[3, 14], Operations: ['99-70=29', '43-29=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[29, 40], Operations: ['99-70=29', '43-3=40']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[43, 70, 33], Operations: ['99/3=33']
Exploring Operation: 70-33=37, Resulting Numbers: [43, 37]
Generated Node #0,1,0: 80:[43, 37] Operation: 70-33=37
Exploring Operation: 43-33=10, Resulting Numbers: [70, 10]
Generated Node #0,1,1: 80:[70, 10] Operation: 43-33=10
Moving to Node #0,1,0
Current State: 80:[43, 37], Operations: ['99/3=33', '70-33=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[99, 43, 3, 70], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [43, 70, 33]
Generated Node #0,1: 80:[43, 70, 33] Operation: 99/3=33
Moving to Node #0,1
Current State: 80:[43, 70, 33], Operations: ['99/3=33']
Exploring Operation: 70-33=37, Resulting Numbers: [43, 37]
Generated Node #0,1,0: 80:[43, 37] Operation: 70-33=37
Moving to Node #0,1,0
Current State: 80:[43, 37], Operations: ['99/3=33', '70-33=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
49,
99,
54,
35
] | 59 | [
"49+99=148",
"54+35=89",
"148-89=59"
] | Current State: 59:[49, 99, 54, 35], Operations: []
Exploring Operation: 49+99=148, Resulting Numbers: [54, 35, 148]
Generated Node #2: [54, 35, 148] from Operation: 49+99=148
Current State: 59:[54, 35, 148], Operations: ['49+99=148']
Exploring Operation: 54+35=89, Resulting Numbers: [148, 89]
Generated Node #3: [148, 89] from Operation: 54+35=89
Current State: 59:[148, 89], Operations: ['49+99=148', '54+35=89']
Exploring Operation: 148-89=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[49, 99, 54, 35], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [54, 35, 50]
Generated Node #0,0: 59:[54, 35, 50] Operation: 99-49=50
Exploring Operation: 99-35=64, Resulting Numbers: [49, 54, 64]
Generated Node #0,1: 59:[49, 54, 64] Operation: 99-35=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[49, 54, 64], Operations: ['99-35=64']
Exploring Operation: 49+54=103, Resulting Numbers: [64, 103]
Generated Node #0,1,0: 59:[64, 103] Operation: 49+54=103
Exploring Operation: 64-49=15, Resulting Numbers: [54, 15]
Generated Node #0,1,1: 59:[54, 15] Operation: 64-49=15
Moving to Node #0,1,0
Current State: 59:[64, 103], Operations: ['99-35=64', '49+54=103']
Exploring Operation: 64+103=167, Resulting Numbers: [167]
167,59 unequal: No Solution
Exploring Operation: 103-64=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[54, 15], Operations: ['99-35=64', '64-49=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[54, 35, 50], Operations: ['99-49=50']
Exploring Operation: 54+35=89, Resulting Numbers: [50, 89]
Generated Node #0,0,0: 59:[50, 89] Operation: 54+35=89
Exploring Operation: 35+50=85, Resulting Numbers: [54, 85]
Generated Node #0,0,1: 59:[54, 85] Operation: 35+50=85
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[54, 85], Operations: ['99-49=50', '35+50=85']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 54+85=139, Resulting Numbers: [139]
139,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[50, 89], Operations: ['99-49=50', '54+35=89']
Exploring Operation: 50+89=139, Resulting Numbers: [139]
139,59 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
29,
44,
3,
5
] | 86 | [
"29-3=26",
"5*26=130",
"130-44=86"
] | Current State: 86:[29, 44, 3, 5], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [44, 5, 26]
Generated Node #2: [44, 5, 26] from Operation: 29-3=26
Current State: 86:[44, 5, 26], Operations: ['29-3=26']
Exploring Operation: 5*26=130, Resulting Numbers: [44, 130]
Generated Node #3: [44, 130] from Operation: 5*26=130
Current State: 86:[44, 130], Operations: ['29-3=26', '5*26=130']
Exploring Operation: 130-44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[29, 44, 3, 5], Operations: []
Exploring Operation: 29*3=87, Resulting Numbers: [44, 5, 87]
Generated Node #0,0: 86:[44, 5, 87] Operation: 29*3=87
Exploring Operation: 29+5=34, Resulting Numbers: [44, 3, 34]
Generated Node #0,1: 86:[44, 3, 34] Operation: 29+5=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[44, 5, 87], Operations: ['29*3=87']
Exploring Operation: 87-44=43, Resulting Numbers: [5, 43]
Generated Node #0,0,0: 86:[5, 43] Operation: 87-44=43
Exploring Operation: 44-5=39, Resulting Numbers: [87, 39]
Generated Node #0,0,1: 86:[87, 39] Operation: 44-5=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[5, 43], Operations: ['29*3=87', '87-44=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,86 unequal: No Solution
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,86 unequal: No Solution
No 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: 86:[87, 39], Operations: ['29*3=87', '44-5=39']
Exploring Operation: 87+39=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,86 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: 86:[44, 3, 34], Operations: ['29+5=34']
Exploring Operation: 3+34=37, Resulting Numbers: [44, 37]
Generated Node #0,1,0: 86:[44, 37] Operation: 3+34=37
Exploring Operation: 44+34=78, Resulting Numbers: [3, 78]
Generated Node #0,1,1: 86:[3, 78] Operation: 44+34=78
Moving to Node #0,1,0
Current State: 86:[44, 37], Operations: ['29+5=34', '3+34=37']
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[3, 78], Operations: ['29+5=34', '44+34=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,86 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 |
[
20,
72,
4,
81
] | 84 | [
"20+4=24",
"72/24=3",
"81+3=84"
] | Current State: 84:[20, 72, 4, 81], Operations: []
Exploring Operation: 20+4=24, Resulting Numbers: [72, 81, 24]
Generated Node #2: [72, 81, 24] from Operation: 20+4=24
Current State: 84:[72, 81, 24], Operations: ['20+4=24']
Exploring Operation: 72/24=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 72/24=3
Current State: 84:[81, 3], Operations: ['20+4=24', '72/24=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[20, 72, 4, 81], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [20, 4, 9]
Generated Node #0,0: 84:[20, 4, 9] Operation: 81-72=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[20, 4, 9], Operations: ['81-72=9']
Exploring Operation: 20+9=29, Resulting Numbers: [4, 29]
Generated Node #0,0,0: 84:[4, 29] Operation: 20+9=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[4, 29], Operations: ['81-72=9', '20+9=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.