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 |
|---|---|---|---|---|---|---|---|---|
[
61,
39,
48,
30
] | 40 | [
"61-39=22",
"48-30=18",
"22+18=40"
] | Current State: 40:[61, 39, 48, 30], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [48, 30, 22]
Generated Node #2: [48, 30, 22] from Operation: 61-39=22
Current State: 40:[48, 30, 22], Operations: ['61-39=22']
Exploring Operation: 48-30=18, Resulting Numbers: [22, 18]
Generated Node #3: [22, 18] from Operation: 48-30=18
Current State: 40:[22, 18], Operations: ['61-39=22', '48-30=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[61, 39, 48, 30], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [39, 48, 31]
Generated Node #0,0: 40:[39, 48, 31] Operation: 61-30=31
Exploring Operation: 61-39=22, Resulting Numbers: [48, 30, 22]
Generated Node #0,1: 40:[48, 30, 22] Operation: 61-39=22
Exploring Operation: 61-48=13, Resulting Numbers: [39, 30, 13]
Generated Node #0,2: 40:[39, 30, 13] Operation: 61-48=13
Exploring Operation: 48-30=18, Resulting Numbers: [61, 39, 18]
Generated Node #0,3: 40:[61, 39, 18] Operation: 48-30=18
Moving to Node #0,2
Current State: 40:[39, 30, 13], Operations: ['61-48=13']
Exploring Operation: 30-13=17, Resulting Numbers: [39, 17]
Generated Node #0,2,0: 40:[39, 17] Operation: 30-13=17
Exploring Operation: 39-30=9, Resulting Numbers: [13, 9]
Generated Node #0,2,1: 40:[13, 9] Operation: 39-30=9
Exploring Operation: 30+13=43, Resulting Numbers: [39, 43]
Generated Node #0,2,2: 40:[39, 43] Operation: 30+13=43
Exploring Operation: 39/13=3, Resulting Numbers: [30, 3]
Generated Node #0,2,3: 40:[30, 3] Operation: 39/13=3
Moving to Node #0,0
Current State: 40:[39, 48, 31], Operations: ['61-30=31']
Exploring Operation: 39+31=70, Resulting Numbers: [48, 70]
Generated Node #0,0,0: 40:[48, 70] Operation: 39+31=70
Exploring Operation: 39-31=8, Resulting Numbers: [48, 8]
Generated Node #0,0,1: 40:[48, 8] Operation: 39-31=8
Exploring Operation: 48-31=17, Resulting Numbers: [39, 17]
Generated Node #0,0,2: 40:[39, 17] Operation: 48-31=17
Exploring Operation: 48-39=9, Resulting Numbers: [31, 9]
Generated Node #0,0,3: 40:[31, 9] Operation: 48-39=9
Moving to Node #0,1
Current State: 40:[48, 30, 22], Operations: ['61-39=22']
Exploring Operation: 30-22=8, Resulting Numbers: [48, 8]
Generated Node #0,1,0: 40:[48, 8] Operation: 30-22=8
Exploring Operation: 48-30=18, Resulting Numbers: [22, 18]
Generated Node #0,1,1: 40:[22, 18] Operation: 48-30=18
Exploring Operation: 30+22=52, Resulting Numbers: [48, 52]
Generated Node #0,1,2: 40:[48, 52] Operation: 30+22=52
Exploring Operation: 48-22=26, Resulting Numbers: [30, 26]
Generated Node #0,1,3: 40:[30, 26] Operation: 48-22=26
Moving to Node #0,3
Current State: 40:[61, 39, 18], Operations: ['48-30=18']
Exploring Operation: 61-39=22, Resulting Numbers: [18, 22]
Generated Node #0,3,0: 40:[18, 22] Operation: 61-39=22
Exploring Operation: 39-18=21, Resulting Numbers: [61, 21]
Generated Node #0,3,1: 40:[61, 21] Operation: 39-18=21
Exploring Operation: 39+18=57, Resulting Numbers: [61, 57]
Generated Node #0,3,2: 40:[61, 57] Operation: 39+18=57
Exploring Operation: 61-18=43, Resulting Numbers: [39, 43]
Generated Node #0,3,3: 40:[39, 43] Operation: 61-18=43
Moving to Node #0,2,0
Current State: 40:[39, 17], Operations: ['61-48=13', '30-13=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,40 unequal: No Solution
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,40 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[39, 43], Operations: ['61-48=13', '30+13=43']
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,40 unequal: No Solution
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,40 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[39, 43], Operations: ['48-30=18', '61-18=43']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,40 unequal: No Solution
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,40 unequal: No Solution
Moving to Node #0,3,0
Current State: 40:[18, 22], Operations: ['48-30=18', '61-39=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[61, 39, 48, 30], Operations: []
Exploring Operation: 48-30=18, Resulting Numbers: [61, 39, 18]
Generated Node #0,3: 40:[61, 39, 18] Operation: 48-30=18
Moving to Node #0,3
Current State: 40:[61, 39, 18], Operations: ['48-30=18']
Exploring Operation: 61-39=22, Resulting Numbers: [18, 22]
Generated Node #0,3,0: 40:[18, 22] Operation: 61-39=22
Moving to Node #0,3,0
Current State: 40:[18, 22], Operations: ['48-30=18', '61-39=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.970486 | hs_4 | mult_heuristic |
[
44,
28,
5,
62
] | 83 | [
"44-28=16",
"5+62=67",
"16+67=83"
] | Current State: 83:[44, 28, 5, 62], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [5, 62, 16]
Generated Node #2: [5, 62, 16] from Operation: 44-28=16
Current State: 83:[5, 62, 16], Operations: ['44-28=16']
Exploring Operation: 5+62=67, Resulting Numbers: [16, 67]
Generated Node #3: [16, 67] from Operation: 5+62=67
Current State: 83:[16, 67], Operations: ['44-28=16', '5+62=67']
Exploring Operation: 16+67=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[44, 28, 5, 62], Operations: []
Exploring Operation: 44+28=72, Resulting Numbers: [5, 62, 72]
Generated Node #0,0: 83:[5, 62, 72] Operation: 44+28=72
Moving to Node #0,0
Current State: 83:[5, 62, 72], Operations: ['44+28=72']
Exploring Operation: 5+62=67, Resulting Numbers: [72, 67]
Generated Node #0,0,0: 83:[72, 67] Operation: 5+62=67
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[72, 67], Operations: ['44+28=72', '5+62=67']
Exploring Operation: 72+67=139, Resulting Numbers: [139]
139,83 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,
22,
25,
65
] | 35 | [
"77-22=55",
"25+65=90",
"90-55=35"
] | Current State: 35:[77, 22, 25, 65], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [25, 65, 55]
Generated Node #2: [25, 65, 55] from Operation: 77-22=55
Current State: 35:[25, 65, 55], Operations: ['77-22=55']
Exploring Operation: 25+65=90, Resulting Numbers: [55, 90]
Generated Node #3: [55, 90] from Operation: 25+65=90
Current State: 35:[55, 90], Operations: ['77-22=55', '25+65=90']
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[77, 22, 25, 65], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [25, 65, 55]
Generated Node #0,0: 35:[25, 65, 55] Operation: 77-22=55
Exploring Operation: 77-25=52, Resulting Numbers: [22, 65, 52]
Generated Node #0,1: 35:[22, 65, 52] Operation: 77-25=52
Exploring Operation: 65-22=43, Resulting Numbers: [77, 25, 43]
Generated Node #0,2: 35:[77, 25, 43] Operation: 65-22=43
Exploring Operation: 77-65=12, Resulting Numbers: [22, 25, 12]
Generated Node #0,3: 35:[22, 25, 12] Operation: 77-65=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[22, 25, 12], Operations: ['77-65=12']
Exploring Operation: 25-22=3, Resulting Numbers: [12, 3]
Generated Node #0,3,0: 35:[12, 3] Operation: 25-22=3
Exploring Operation: 22-12=10, Resulting Numbers: [25, 10]
Generated Node #0,3,1: 35:[25, 10] Operation: 22-12=10
Exploring Operation: 22+12=34, Resulting Numbers: [25, 34]
Generated Node #0,3,2: 35:[25, 34] Operation: 22+12=34
Exploring Operation: 25+12=37, Resulting Numbers: [22, 37]
Generated Node #0,3,3: 35:[22, 37] Operation: 25+12=37
Moving to Node #0,3,0
Current State: 35:[12, 3], Operations: ['77-65=12', '25-22=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Moving to Node #0,3,2
Current State: 35:[25, 34], Operations: ['77-65=12', '22+12=34']
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,35 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Moving to Node #0,3,1
Current State: 35:[25, 10], Operations: ['77-65=12', '22-12=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[77, 22, 25, 65], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [22, 25, 12]
Generated Node #0,3: 35:[22, 25, 12] Operation: 77-65=12
Moving to Node #0,3
Current State: 35:[22, 25, 12], Operations: ['77-65=12']
Exploring Operation: 22-12=10, Resulting Numbers: [25, 10]
Generated Node #0,3,1: 35:[25, 10] Operation: 22-12=10
Moving to Node #0,3,1
Current State: 35:[25, 10], Operations: ['77-65=12', '22-12=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
12,
2,
29,
47
] | 50 | [
"29+47=76",
"76/2=38",
"12+38=50"
] | Current State: 50:[12, 2, 29, 47], Operations: []
Exploring Operation: 29+47=76, Resulting Numbers: [12, 2, 76]
Generated Node #2: [12, 2, 76] from Operation: 29+47=76
Current State: 50:[12, 2, 76], Operations: ['29+47=76']
Exploring Operation: 76/2=38, Resulting Numbers: [12, 38]
Generated Node #3: [12, 38] from Operation: 76/2=38
Current State: 50:[12, 38], Operations: ['29+47=76', '76/2=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[12, 2, 29, 47], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [29, 47, 10]
Generated Node #0,0: 50:[29, 47, 10] Operation: 12-2=10
Moving to Node #0,0
Current State: 50:[29, 47, 10], Operations: ['12-2=10']
Exploring Operation: 47-29=18, Resulting Numbers: [10, 18]
Generated Node #0,0,0: 50:[10, 18] Operation: 47-29=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[10, 18], Operations: ['12-2=10', '47-29=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
82,
92,
19,
76
] | 14 | [
"92-82=10",
"76/19=4",
"10+4=14"
] | Current State: 14:[82, 92, 19, 76], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [19, 76, 10]
Generated Node #2: [19, 76, 10] from Operation: 92-82=10
Current State: 14:[19, 76, 10], Operations: ['92-82=10']
Exploring Operation: 76/19=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 76/19=4
Current State: 14:[10, 4], Operations: ['92-82=10', '76/19=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[82, 92, 19, 76], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [92, 19, 6]
Generated Node #0,0: 14:[92, 19, 6] Operation: 82-76=6
Exploring Operation: 82-19=63, Resulting Numbers: [92, 76, 63]
Generated Node #0,1: 14:[92, 76, 63] Operation: 82-19=63
Exploring Operation: 76/19=4, Resulting Numbers: [82, 92, 4]
Generated Node #0,2: 14:[82, 92, 4] Operation: 76/19=4
Exploring Operation: 92-76=16, Resulting Numbers: [82, 19, 16]
Generated Node #0,3: 14:[82, 19, 16] Operation: 92-76=16
Exploring Operation: 92-82=10, Resulting Numbers: [19, 76, 10]
Generated Node #0,4: 14:[19, 76, 10] Operation: 92-82=10
Start Sub Search at level 1: Moving to Node #0,4
Current State: 14:[19, 76, 10], Operations: ['92-82=10']
Exploring Operation: 76-19=57, Resulting Numbers: [10, 57]
Generated Node #0,4,0: 14:[10, 57] Operation: 76-19=57
Exploring Operation: 76/19=4, Resulting Numbers: [10, 4]
Generated Node #0,4,1: 14:[10, 4] Operation: 76/19=4
Exploring Operation: 19+10=29, Resulting Numbers: [76, 29]
Generated Node #0,4,2: 14:[76, 29] Operation: 19+10=29
Exploring Operation: 19-10=9, Resulting Numbers: [76, 9]
Generated Node #0,4,3: 14:[76, 9] Operation: 19-10=9
Exploring Operation: 76-10=66, Resulting Numbers: [19, 66]
Generated Node #0,4,4: 14:[19, 66] Operation: 76-10=66
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 14:[10, 4], Operations: ['92-82=10', '76/19=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,14 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[82, 92, 19, 76], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [19, 76, 10]
Generated Node #0,4: 14:[19, 76, 10] Operation: 92-82=10
Moving to Node #0,4
Current State: 14:[19, 76, 10], Operations: ['92-82=10']
Exploring Operation: 76/19=4, Resulting Numbers: [10, 4]
Generated Node #0,4,1: 14:[10, 4] Operation: 76/19=4
Moving to Node #0,4,1
Current State: 14:[10, 4], Operations: ['92-82=10', '76/19=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
69,
22,
50,
2
] | 30 | [
"69-50=19",
"22/2=11",
"19+11=30"
] | Current State: 30:[69, 22, 50, 2], Operations: []
Exploring Operation: 69-50=19, Resulting Numbers: [22, 2, 19]
Generated Node #2: [22, 2, 19] from Operation: 69-50=19
Current State: 30:[22, 2, 19], Operations: ['69-50=19']
Exploring Operation: 22/2=11, Resulting Numbers: [19, 11]
Generated Node #3: [19, 11] from Operation: 22/2=11
Current State: 30:[19, 11], Operations: ['69-50=19', '22/2=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[69, 22, 50, 2], Operations: []
Exploring Operation: 69-50=19, Resulting Numbers: [22, 2, 19]
Generated Node #0,0: 30:[22, 2, 19] Operation: 69-50=19
Moving to Node #0,0
Current State: 30:[22, 2, 19], Operations: ['69-50=19']
Exploring Operation: 22-19=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 30:[2, 3] Operation: 22-19=3
Moving to Node #0,0,0
Current State: 30:[2, 3], Operations: ['69-50=19', '22-19=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
9,
51,
51,
44
] | 53 | [
"9+51=60",
"51-44=7",
"60-7=53"
] | Current State: 53:[9, 51, 51, 44], Operations: []
Exploring Operation: 9+51=60, Resulting Numbers: [44, 60]
Generated Node #2: [44, 60] from Operation: 9+51=60
Current State: 53:[44, 60], Operations: ['9+51=60']
Exploring Operation: 51-44=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 51-44=7
Current State: 53:[60, 7], Operations: ['9+51=60', '51-44=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[9, 51, 51, 44], Operations: []
Exploring Operation: 9+44=53, Resulting Numbers: [51, 51, 53]
Generated Node #0,0: 53:[51, 51, 53] Operation: 9+44=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[51, 51, 53], Operations: ['9+44=53']
Exploring Operation: 51+51=102, Resulting Numbers: [53, 102]
Generated Node #0,0,0: 53:[53, 102] Operation: 51+51=102
Moving to Node #0,0,0
Current State: 53:[53, 102], Operations: ['9+44=53', '51+51=102']
Exploring Operation: 102-53=49, Resulting Numbers: [49]
49,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
33,
3,
42
] | 73 | [
"92-33=59",
"42/3=14",
"59+14=73"
] | Current State: 73:[92, 33, 3, 42], Operations: []
Exploring Operation: 92-33=59, Resulting Numbers: [3, 42, 59]
Generated Node #2: [3, 42, 59] from Operation: 92-33=59
Current State: 73:[3, 42, 59], Operations: ['92-33=59']
Exploring Operation: 42/3=14, Resulting Numbers: [59, 14]
Generated Node #3: [59, 14] from Operation: 42/3=14
Current State: 73:[59, 14], Operations: ['92-33=59', '42/3=14']
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[92, 33, 3, 42], Operations: []
Exploring Operation: 33+3=36, Resulting Numbers: [92, 42, 36]
Generated Node #0,0: 73:[92, 42, 36] Operation: 33+3=36
Exploring Operation: 33+42=75, Resulting Numbers: [92, 3, 75]
Generated Node #0,1: 73:[92, 3, 75] Operation: 33+42=75
Exploring Operation: 33*3=99, Resulting Numbers: [92, 42, 99]
Generated Node #0,2: 73:[92, 42, 99] Operation: 33*3=99
Exploring Operation: 3+42=45, Resulting Numbers: [92, 33, 45]
Generated Node #0,3: 73:[92, 33, 45] Operation: 3+42=45
Exploring Operation: 92-3=89, Resulting Numbers: [33, 42, 89]
Generated Node #0,4: 73:[33, 42, 89] Operation: 92-3=89
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[92, 42, 99], Operations: ['33*3=99']
Exploring Operation: 92-42=50, Resulting Numbers: [99, 50]
Generated Node #0,2,0: 73:[99, 50] Operation: 92-42=50
Exploring Operation: 92+42=134, Resulting Numbers: [99, 134]
Generated Node #0,2,1: 73:[99, 134] Operation: 92+42=134
Exploring Operation: 99-92=7, Resulting Numbers: [42, 7]
Generated Node #0,2,2: 73:[42, 7] Operation: 99-92=7
Exploring Operation: 42+99=141, Resulting Numbers: [92, 141]
Generated Node #0,2,3: 73:[92, 141] Operation: 42+99=141
Exploring Operation: 99-42=57, Resulting Numbers: [92, 57]
Generated Node #0,2,4: 73:[92, 57] Operation: 99-42=57
Moving to Node #0,2,4
Current State: 73:[92, 57], Operations: ['33*3=99', '99-42=57']
Exploring Operation: 92*57=5244, Resulting Numbers: [5244]
5244,73 unequal: No Solution
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 92+57=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[99, 50], Operations: ['33*3=99', '92-42=50']
Exploring Operation: 99-50=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 99+50=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Exploring Operation: 99*50=4950, Resulting Numbers: [4950]
4950,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[99, 134], Operations: ['33*3=99', '92+42=134']
Exploring Operation: 99+134=233, Resulting Numbers: [233]
233,73 unequal: No Solution
Exploring Operation: 134-99=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 99*134=13266, Resulting Numbers: [13266]
13266,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[92, 141], Operations: ['33*3=99', '42+99=141']
Exploring Operation: 92*141=12972, Resulting Numbers: [12972]
12972,73 unequal: No Solution
Exploring Operation: 92+141=233, Resulting Numbers: [233]
233,73 unequal: No Solution
Exploring Operation: 141-92=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[42, 7], Operations: ['33*3=99', '99-92=7']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,73 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,73 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 #0,0
Current State: 73:[92, 42, 36], Operations: ['33+3=36']
Exploring Operation: 42-36=6, Resulting Numbers: [92, 6]
Generated Node #0,0,0: 73:[92, 6] Operation: 42-36=6
Exploring Operation: 92+36=128, Resulting Numbers: [42, 128]
Generated Node #0,0,1: 73:[42, 128] Operation: 92+36=128
Exploring Operation: 92-36=56, Resulting Numbers: [42, 56]
Generated Node #0,0,2: 73:[42, 56] Operation: 92-36=56
Exploring Operation: 92-42=50, Resulting Numbers: [36, 50]
Generated Node #0,0,3: 73:[36, 50] Operation: 92-42=50
Exploring Operation: 42+36=78, Resulting Numbers: [92, 78]
Generated Node #0,0,4: 73:[92, 78] Operation: 42+36=78
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 73:[92, 78], Operations: ['33+3=36', '42+36=78']
Exploring Operation: 92*78=7176, Resulting Numbers: [7176]
7176,73 unequal: No Solution
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 92+78=170, Resulting Numbers: [170]
170,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[42, 56], Operations: ['33+3=36', '92-36=56']
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 73:[36, 50], Operations: ['33+3=36', '92-42=50']
Exploring Operation: 36+50=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 36*50=1800, Resulting Numbers: [1800]
1800,73 unequal: No Solution
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[92, 6], Operations: ['33+3=36', '42-36=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Exploring Operation: 92*6=552, Resulting Numbers: [552]
552,73 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[42, 128], Operations: ['33+3=36', '92+36=128']
Exploring Operation: 42*128=5376, Resulting Numbers: [5376]
5376,73 unequal: No Solution
Exploring Operation: 42+128=170, Resulting Numbers: [170]
170,73 unequal: No Solution
Exploring Operation: 128-42=86, Resulting Numbers: [86]
86,73 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: 73:[92, 33, 45], Operations: ['3+42=45']
Exploring Operation: 92+33=125, Resulting Numbers: [45, 125]
Generated Node #0,3,0: 73:[45, 125] Operation: 92+33=125
Exploring Operation: 33+45=78, Resulting Numbers: [92, 78]
Generated Node #0,3,1: 73:[92, 78] Operation: 33+45=78
Exploring Operation: 92-45=47, Resulting Numbers: [33, 47]
Generated Node #0,3,2: 73:[33, 47] Operation: 92-45=47
Exploring Operation: 45-33=12, Resulting Numbers: [92, 12]
Generated Node #0,3,3: 73:[92, 12] Operation: 45-33=12
Exploring Operation: 92-33=59, Resulting Numbers: [45, 59]
Generated Node #0,3,4: 73:[45, 59] Operation: 92-33=59
Moving to Node #0,3,1
Current State: 73:[92, 78], Operations: ['3+42=45', '33+45=78']
Exploring Operation: 92+78=170, Resulting Numbers: [170]
170,73 unequal: No Solution
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 92*78=7176, Resulting Numbers: [7176]
7176,73 unequal: No Solution
Moving to Node #0,3,4
Current State: 73:[45, 59], Operations: ['3+42=45', '92-33=59']
Exploring Operation: 45+59=104, Resulting Numbers: [104]
104,73 unequal: No Solution
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 45*59=2655, Resulting Numbers: [2655]
2655,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[33, 47], Operations: ['3+42=45', '92-45=47']
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 33*47=1551, Resulting Numbers: [1551]
1551,73 unequal: No Solution
Exploring Operation: 33+47=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[45, 125], Operations: ['3+42=45', '92+33=125']
Exploring Operation: 125-45=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 45*125=5625, Resulting Numbers: [5625]
5625,73 unequal: No Solution
Exploring Operation: 45+125=170, Resulting Numbers: [170]
170,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[92, 12], Operations: ['3+42=45', '45-33=12']
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 92*12=1104, Resulting Numbers: [1104]
1104,73 unequal: No Solution
Exploring Operation: 92+12=104, Resulting Numbers: [104]
104,73 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 #0,4
Current State: 73:[33, 42, 89], Operations: ['92-3=89']
Exploring Operation: 33+42=75, Resulting Numbers: [89, 75]
Generated Node #0,4,0: 73:[89, 75] Operation: 33+42=75
Exploring Operation: 33+89=122, Resulting Numbers: [42, 122]
Generated Node #0,4,1: 73:[42, 122] Operation: 33+89=122
Exploring Operation: 42-33=9, Resulting Numbers: [89, 9]
Generated Node #0,4,2: 73:[89, 9] Operation: 42-33=9
Exploring Operation: 89-33=56, Resulting Numbers: [42, 56]
Generated Node #0,4,3: 73:[42, 56] Operation: 89-33=56
Exploring Operation: 89-42=47, Resulting Numbers: [33, 47]
Generated Node #0,4,4: 73:[33, 47] Operation: 89-42=47
Moving to Node #0,4,0
Current State: 73:[89, 75], Operations: ['92-3=89', '33+42=75']
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 89+75=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 89*75=6675, Resulting Numbers: [6675]
6675,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[42, 56], Operations: ['92-3=89', '89-33=56']
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,73 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[33, 47], Operations: ['92-3=89', '89-42=47']
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 33*47=1551, Resulting Numbers: [1551]
1551,73 unequal: No Solution
Exploring Operation: 33+47=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[42, 122], Operations: ['92-3=89', '33+89=122']
Exploring Operation: 42+122=164, Resulting Numbers: [164]
164,73 unequal: No Solution
Exploring Operation: 122-42=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 42*122=5124, Resulting Numbers: [5124]
5124,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[89, 9], Operations: ['92-3=89', '42-33=9']
Exploring Operation: 89*9=801, Resulting Numbers: [801]
801,73 unequal: No Solution
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[92, 3, 75], Operations: ['33+42=75']
Exploring Operation: 3+75=78, Resulting Numbers: [92, 78]
Generated Node #0,1,0: 73:[92, 78] Operation: 3+75=78
Exploring Operation: 92-3=89, Resulting Numbers: [75, 89]
Generated Node #0,1,1: 73:[75, 89] Operation: 92-3=89
Exploring Operation: 92+3=95, Resulting Numbers: [75, 95]
Generated Node #0,1,2: 73:[75, 95] Operation: 92+3=95
Exploring Operation: 75-3=72, Resulting Numbers: [92, 72]
Generated Node #0,1,3: 73:[92, 72] Operation: 75-3=72
Exploring Operation: 75/3=25, Resulting Numbers: [92, 25]
Generated Node #0,1,4: 73:[92, 25] Operation: 75/3=25
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[75, 89], Operations: ['33+42=75', '92-3=89']
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 75*89=6675, Resulting Numbers: [6675]
6675,73 unequal: No Solution
Exploring Operation: 75+89=164, Resulting Numbers: [164]
164,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 73:[92, 72], Operations: ['33+42=75', '75-3=72']
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 92*72=6624, Resulting Numbers: [6624]
6624,73 unequal: No Solution
Exploring Operation: 92+72=164, Resulting Numbers: [164]
164,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[92, 78], Operations: ['33+42=75', '3+75=78']
Exploring Operation: 92*78=7176, Resulting Numbers: [7176]
7176,73 unequal: No Solution
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 92+78=170, Resulting Numbers: [170]
170,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[75, 95], Operations: ['33+42=75', '92+3=95']
Exploring Operation: 75*95=7125, Resulting Numbers: [7125]
7125,73 unequal: No Solution
Exploring Operation: 95-75=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 75+95=170, Resulting Numbers: [170]
170,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 73:[92, 25], Operations: ['33+42=75', '75/3=25']
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 92+25=117, Resulting Numbers: [117]
117,73 unequal: No Solution
Exploring Operation: 92*25=2300, Resulting Numbers: [2300]
2300,73 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 |
[
86,
25,
85,
55
] | 88 | [
"25+85=110",
"110/55=2",
"86+2=88"
] | Current State: 88:[86, 25, 85, 55], Operations: []
Exploring Operation: 25+85=110, Resulting Numbers: [86, 55, 110]
Generated Node #2: [86, 55, 110] from Operation: 25+85=110
Current State: 88:[86, 55, 110], Operations: ['25+85=110']
Exploring Operation: 110/55=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 110/55=2
Current State: 88:[86, 2], Operations: ['25+85=110', '110/55=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[86, 25, 85, 55], Operations: []
Exploring Operation: 25+55=80, Resulting Numbers: [86, 85, 80]
Generated Node #0,0: 88:[86, 85, 80] Operation: 25+55=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[86, 85, 80], Operations: ['25+55=80']
Exploring Operation: 85-80=5, Resulting Numbers: [86, 5]
Generated Node #0,0,0: 88:[86, 5] Operation: 85-80=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[86, 5], Operations: ['25+55=80', '85-80=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
71,
13,
64,
64
] | 13 | [
"64-64=0",
"71*0=0",
"13+0=13"
] | Current State: 13:[71, 13, 64, 64], Operations: []
Exploring Operation: 64-64=0, Resulting Numbers: [71, 13, 0]
Generated Node #2: [71, 13, 0] from Operation: 64-64=0
Current State: 13:[71, 13, 0], Operations: ['64-64=0']
Exploring Operation: 71*0=0, Resulting Numbers: [13, 0]
Generated Node #3: [13, 0] from Operation: 71*0=0
Current State: 13:[13, 0], Operations: ['64-64=0', '71*0=0']
Exploring Operation: 13+0=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[71, 13, 64, 64], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [13, 64, 7]
Generated Node #0,0: 13:[13, 64, 7] Operation: 71-64=7
Exploring Operation: 71-64=7, Resulting Numbers: [13, 64, 7]
Generated Node #0,1: 13:[13, 64, 7] Operation: 71-64=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[13, 64, 7], Operations: ['71-64=7']
Exploring Operation: 64-7=57, Resulting Numbers: [13, 57]
Generated Node #0,0,0: 13:[13, 57] Operation: 64-7=57
Exploring Operation: 64-13=51, Resulting Numbers: [7, 51]
Generated Node #0,0,1: 13:[7, 51] Operation: 64-13=51
Moving to Node #0,0,0
Current State: 13:[13, 57], Operations: ['71-64=7', '64-7=57']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[7, 51], Operations: ['71-64=7', '64-13=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 7+51=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 #0,1
Current State: 13:[13, 64, 7], Operations: ['71-64=7']
Exploring Operation: 64-13=51, Resulting Numbers: [7, 51]
Generated Node #0,1,0: 13:[7, 51] Operation: 64-13=51
Exploring Operation: 64-7=57, Resulting Numbers: [13, 57]
Generated Node #0,1,1: 13:[13, 57] Operation: 64-7=57
Moving to Node #0,1,0
Current State: 13:[7, 51], Operations: ['71-64=7', '64-13=51']
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[13, 57], Operations: ['71-64=7', '64-7=57']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
80,
6,
67,
3
] | 10 | [
"80-6=74",
"67-3=64",
"74-64=10"
] | Current State: 10:[80, 6, 67, 3], Operations: []
Exploring Operation: 80-6=74, Resulting Numbers: [67, 3, 74]
Generated Node #2: [67, 3, 74] from Operation: 80-6=74
Current State: 10:[67, 3, 74], Operations: ['80-6=74']
Exploring Operation: 67-3=64, Resulting Numbers: [74, 64]
Generated Node #3: [74, 64] from Operation: 67-3=64
Current State: 10:[74, 64], Operations: ['80-6=74', '67-3=64']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[80, 6, 67, 3], Operations: []
Exploring Operation: 67-6=61, Resulting Numbers: [80, 3, 61]
Generated Node #0,0: 10:[80, 3, 61] Operation: 67-6=61
Exploring Operation: 80-6=74, Resulting Numbers: [67, 3, 74]
Generated Node #0,1: 10:[67, 3, 74] Operation: 80-6=74
Exploring Operation: 80-67=13, Resulting Numbers: [6, 3, 13]
Generated Node #0,2: 10:[6, 3, 13] Operation: 80-67=13
Exploring Operation: 80-3=77, Resulting Numbers: [6, 67, 77]
Generated Node #0,3: 10:[6, 67, 77] Operation: 80-3=77
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[6, 3, 13], Operations: ['80-67=13']
Exploring Operation: 13-6=7, Resulting Numbers: [3, 7]
Generated Node #0,2,0: 10:[3, 7] Operation: 13-6=7
Exploring Operation: 6/3=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 10:[13, 2] Operation: 6/3=2
Exploring Operation: 13-3=10, Resulting Numbers: [6, 10]
Generated Node #0,2,2: 10:[6, 10] Operation: 13-3=10
Exploring Operation: 6+3=9, Resulting Numbers: [13, 9]
Generated Node #0,2,3: 10:[13, 9] Operation: 6+3=9
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 10:[6, 10], Operations: ['80-67=13', '13-3=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,10 unequal: No Solution
No 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: 10:[3, 7], Operations: ['80-67=13', '13-6=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[80, 6, 67, 3], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [6, 3, 13]
Generated Node #0,2: 10:[6, 3, 13] Operation: 80-67=13
Moving to Node #0,2
Current State: 10:[6, 3, 13], Operations: ['80-67=13']
Exploring Operation: 13-6=7, Resulting Numbers: [3, 7]
Generated Node #0,2,0: 10:[3, 7] Operation: 13-6=7
Moving to Node #0,2,0
Current State: 10:[3, 7], Operations: ['80-67=13', '13-6=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
78,
59,
97,
79
] | 61 | [
"59*79=4661",
"97+4661=4758",
"4758/78=61"
] | Current State: 61:[78, 59, 97, 79], Operations: []
Exploring Operation: 59*79=4661, Resulting Numbers: [78, 97, 4661]
Generated Node #2: [78, 97, 4661] from Operation: 59*79=4661
Current State: 61:[78, 97, 4661], Operations: ['59*79=4661']
Exploring Operation: 97+4661=4758, Resulting Numbers: [78, 4758]
Generated Node #3: [78, 4758] from Operation: 97+4661=4758
Current State: 61:[78, 4758], Operations: ['59*79=4661', '97+4661=4758']
Exploring Operation: 4758/78=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[78, 59, 97, 79], Operations: []
Exploring Operation: 97-78=19, Resulting Numbers: [59, 79, 19]
Generated Node #0,0: 61:[59, 79, 19] Operation: 97-78=19
Exploring Operation: 79-59=20, Resulting Numbers: [78, 97, 20]
Generated Node #0,1: 61:[78, 97, 20] Operation: 79-59=20
Exploring Operation: 97-59=38, Resulting Numbers: [78, 79, 38]
Generated Node #0,2: 61:[78, 79, 38] Operation: 97-59=38
Exploring Operation: 97-79=18, Resulting Numbers: [78, 59, 18]
Generated Node #0,3: 61:[78, 59, 18] Operation: 97-79=18
Exploring Operation: 78-59=19, Resulting Numbers: [97, 79, 19]
Generated Node #0,4: 61:[97, 79, 19] Operation: 78-59=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[78, 79, 38], Operations: ['97-59=38']
Exploring Operation: 78+38=116, Resulting Numbers: [79, 116]
Generated Node #0,2,0: 61:[79, 116] Operation: 78+38=116
Exploring Operation: 79-38=41, Resulting Numbers: [78, 41]
Generated Node #0,2,1: 61:[78, 41] Operation: 79-38=41
Exploring Operation: 79+38=117, Resulting Numbers: [78, 117]
Generated Node #0,2,2: 61:[78, 117] Operation: 79+38=117
Exploring Operation: 78-38=40, Resulting Numbers: [79, 40]
Generated Node #0,2,3: 61:[79, 40] Operation: 78-38=40
Exploring Operation: 79-78=1, Resulting Numbers: [38, 1]
Generated Node #0,2,4: 61:[38, 1] Operation: 79-78=1
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[78, 41], Operations: ['97-59=38', '79-38=41']
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,61 unequal: No Solution
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 61:[79, 40], Operations: ['97-59=38', '78-38=40']
Exploring Operation: 79*40=3160, Resulting Numbers: [3160]
3160,61 unequal: No Solution
Exploring Operation: 79+40=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 61:[79, 116], Operations: ['97-59=38', '78+38=116']
Exploring Operation: 79*116=9164, Resulting Numbers: [9164]
9164,61 unequal: No Solution
Exploring Operation: 79+116=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Exploring Operation: 116-79=37, Resulting Numbers: [37]
37,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 61:[78, 117], Operations: ['97-59=38', '79+38=117']
Exploring Operation: 78+117=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Exploring Operation: 117-78=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 78*117=9126, Resulting Numbers: [9126]
9126,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 61:[38, 1], Operations: ['97-59=38', '79-78=1']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[59, 79, 19], Operations: ['97-78=19']
Exploring Operation: 79-59=20, Resulting Numbers: [19, 20]
Generated Node #0,0,0: 61:[19, 20] Operation: 79-59=20
Exploring Operation: 79-19=60, Resulting Numbers: [59, 60]
Generated Node #0,0,1: 61:[59, 60] Operation: 79-19=60
Exploring Operation: 59+19=78, Resulting Numbers: [79, 78]
Generated Node #0,0,2: 61:[79, 78] Operation: 59+19=78
Exploring Operation: 59-19=40, Resulting Numbers: [79, 40]
Generated Node #0,0,3: 61:[79, 40] Operation: 59-19=40
Exploring Operation: 79+19=98, Resulting Numbers: [59, 98]
Generated Node #0,0,4: 61:[59, 98] Operation: 79+19=98
Moving to Node #0,0,1
Current State: 61:[59, 60], Operations: ['97-78=19', '79-19=60']
Exploring Operation: 59*60=3540, Resulting Numbers: [3540]
3540,61 unequal: No Solution
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[79, 78], Operations: ['97-78=19', '59+19=78']
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 79*78=6162, Resulting Numbers: [6162]
6162,61 unequal: No Solution
Exploring Operation: 79+78=157, Resulting Numbers: [157]
157,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[79, 40], Operations: ['97-78=19', '59-19=40']
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 79+40=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Exploring Operation: 79*40=3160, Resulting Numbers: [3160]
3160,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[59, 98], Operations: ['97-78=19', '79+19=98']
Exploring Operation: 59+98=157, Resulting Numbers: [157]
157,61 unequal: No Solution
Exploring Operation: 59*98=5782, Resulting Numbers: [5782]
5782,61 unequal: No Solution
Exploring Operation: 98-59=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[19, 20], Operations: ['97-78=19', '79-59=20']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[78, 59, 18], Operations: ['97-79=18']
Exploring Operation: 59-18=41, Resulting Numbers: [78, 41]
Generated Node #0,3,0: 61:[78, 41] Operation: 59-18=41
Exploring Operation: 59+18=77, Resulting Numbers: [78, 77]
Generated Node #0,3,1: 61:[78, 77] Operation: 59+18=77
Exploring Operation: 78-18=60, Resulting Numbers: [59, 60]
Generated Node #0,3,2: 61:[59, 60] Operation: 78-18=60
Exploring Operation: 78-59=19, Resulting Numbers: [18, 19]
Generated Node #0,3,3: 61:[18, 19] Operation: 78-59=19
Exploring Operation: 78+18=96, Resulting Numbers: [59, 96]
Generated Node #0,3,4: 61:[59, 96] Operation: 78+18=96
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 61:[59, 60], Operations: ['97-79=18', '78-18=60']
Exploring Operation: 59*60=3540, Resulting Numbers: [3540]
3540,61 unequal: No Solution
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 61:[78, 77], Operations: ['97-79=18', '59+18=77']
Exploring Operation: 78+77=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Exploring Operation: 78-77=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 78*77=6006, Resulting Numbers: [6006]
6006,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 61:[78, 41], Operations: ['97-79=18', '59-18=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,61 unequal: No Solution
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 61:[59, 96], Operations: ['97-79=18', '78+18=96']
Exploring Operation: 59+96=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 59*96=5664, Resulting Numbers: [5664]
5664,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 61:[18, 19], Operations: ['97-79=18', '78-59=19']
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,61 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[78, 97, 20], Operations: ['79-59=20']
Exploring Operation: 78-20=58, Resulting Numbers: [97, 58]
Generated Node #0,1,0: 61:[97, 58] Operation: 78-20=58
Exploring Operation: 97-20=77, Resulting Numbers: [78, 77]
Generated Node #0,1,1: 61:[78, 77] Operation: 97-20=77
Exploring Operation: 97-78=19, Resulting Numbers: [20, 19]
Generated Node #0,1,2: 61:[20, 19] Operation: 97-78=19
Exploring Operation: 97+20=117, Resulting Numbers: [78, 117]
Generated Node #0,1,3: 61:[78, 117] Operation: 97+20=117
Exploring Operation: 78+20=98, Resulting Numbers: [97, 98]
Generated Node #0,1,4: 61:[97, 98] Operation: 78+20=98
Moving to Node #0,1,1
Current State: 61:[78, 77], Operations: ['79-59=20', '97-20=77']
Exploring Operation: 78-77=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 78*77=6006, Resulting Numbers: [6006]
6006,61 unequal: No Solution
Exploring Operation: 78+77=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[97, 58], Operations: ['79-59=20', '78-20=58']
Exploring Operation: 97+58=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Exploring Operation: 97-58=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 97*58=5626, Resulting Numbers: [5626]
5626,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[78, 117], Operations: ['79-59=20', '97+20=117']
Exploring Operation: 117-78=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 78+117=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Exploring Operation: 78*117=9126, Resulting Numbers: [9126]
9126,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[97, 98], Operations: ['79-59=20', '78+20=98']
Exploring Operation: 98-97=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 97*98=9506, Resulting Numbers: [9506]
9506,61 unequal: No Solution
Exploring Operation: 97+98=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[20, 19], Operations: ['79-59=20', '97-78=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,61 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 61:[97, 79, 19], Operations: ['78-59=19']
Exploring Operation: 97+19=116, Resulting Numbers: [79, 116]
Generated Node #0,4,0: 61:[79, 116] Operation: 97+19=116
Exploring Operation: 97-79=18, Resulting Numbers: [19, 18]
Generated Node #0,4,1: 61:[19, 18] Operation: 97-79=18
Exploring Operation: 97-19=78, Resulting Numbers: [79, 78]
Generated Node #0,4,2: 61:[79, 78] Operation: 97-19=78
Exploring Operation: 79-19=60, Resulting Numbers: [97, 60]
Generated Node #0,4,3: 61:[97, 60] Operation: 79-19=60
Exploring Operation: 79+19=98, Resulting Numbers: [97, 98]
Generated Node #0,4,4: 61:[97, 98] Operation: 79+19=98
Moving to Node #0,4,2
Current State: 61:[79, 78], Operations: ['78-59=19', '97-19=78']
Exploring Operation: 79*78=6162, Resulting Numbers: [6162]
6162,61 unequal: No Solution
Exploring Operation: 79+78=157, Resulting Numbers: [157]
157,61 unequal: No Solution
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[97, 60], Operations: ['78-59=19', '79-19=60']
Exploring Operation: 97+60=157, Resulting Numbers: [157]
157,61 unequal: No Solution
Exploring Operation: 97-60=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 97*60=5820, Resulting Numbers: [5820]
5820,61 unequal: No Solution
Moving to Node #0,4,0
Current State: 61:[79, 116], Operations: ['78-59=19', '97+19=116']
Exploring Operation: 116-79=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 79*116=9164, Resulting Numbers: [9164]
9164,61 unequal: No Solution
Exploring Operation: 79+116=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[97, 98], Operations: ['78-59=19', '79+19=98']
Exploring Operation: 98-97=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 97*98=9506, Resulting Numbers: [9506]
9506,61 unequal: No Solution
Exploring Operation: 97+98=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[19, 18], Operations: ['78-59=19', '97-79=18']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,61 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
4,
52,
33,
94
] | 36 | [
"52+33=85",
"94-85=9",
"4*9=36"
] | Current State: 36:[4, 52, 33, 94], Operations: []
Exploring Operation: 52+33=85, Resulting Numbers: [4, 94, 85]
Generated Node #2: [4, 94, 85] from Operation: 52+33=85
Current State: 36:[4, 94, 85], Operations: ['52+33=85']
Exploring Operation: 94-85=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 94-85=9
Current State: 36:[4, 9], Operations: ['52+33=85', '94-85=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[4, 52, 33, 94], Operations: []
Exploring Operation: 94-33=61, Resulting Numbers: [4, 52, 61]
Generated Node #0,0: 36:[4, 52, 61] Operation: 94-33=61
Exploring Operation: 94-52=42, Resulting Numbers: [4, 33, 42]
Generated Node #0,1: 36:[4, 33, 42] Operation: 94-52=42
Moving to Node #0,1
Current State: 36:[4, 33, 42], Operations: ['94-52=42']
Exploring Operation: 42-4=38, Resulting Numbers: [33, 38]
Generated Node #0,1,0: 36:[33, 38] Operation: 42-4=38
Exploring Operation: 42-33=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 36:[4, 9] Operation: 42-33=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[4, 9], Operations: ['94-52=42', '42-33=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[4, 52, 33, 94], Operations: []
Exploring Operation: 94-52=42, Resulting Numbers: [4, 33, 42]
Generated Node #0,1: 36:[4, 33, 42] Operation: 94-52=42
Moving to Node #0,1
Current State: 36:[4, 33, 42], Operations: ['94-52=42']
Exploring Operation: 42-33=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 36:[4, 9] Operation: 42-33=9
Moving to Node #0,1,1
Current State: 36:[4, 9], Operations: ['94-52=42', '42-33=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
82,
15,
73,
28
] | 79 | [
"73-28=45",
"45/15=3",
"82-3=79"
] | Current State: 79:[82, 15, 73, 28], Operations: []
Exploring Operation: 73-28=45, Resulting Numbers: [82, 15, 45]
Generated Node #2: [82, 15, 45] from Operation: 73-28=45
Current State: 79:[82, 15, 45], Operations: ['73-28=45']
Exploring Operation: 45/15=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 45/15=3
Current State: 79:[82, 3], Operations: ['73-28=45', '45/15=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[82, 15, 73, 28], Operations: []
Exploring Operation: 15+73=88, Resulting Numbers: [82, 28, 88]
Generated Node #0,0: 79:[82, 28, 88] Operation: 15+73=88
Exploring Operation: 15+28=43, Resulting Numbers: [82, 73, 43]
Generated Node #0,1: 79:[82, 73, 43] Operation: 15+28=43
Exploring Operation: 82-15=67, Resulting Numbers: [73, 28, 67]
Generated Node #0,2: 79:[73, 28, 67] Operation: 82-15=67
Exploring Operation: 82+15=97, Resulting Numbers: [73, 28, 97]
Generated Node #0,3: 79:[73, 28, 97] Operation: 82+15=97
Exploring Operation: 73-15=58, Resulting Numbers: [82, 28, 58]
Generated Node #0,4: 79:[82, 28, 58] Operation: 73-15=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[82, 73, 43], Operations: ['15+28=43']
Exploring Operation: 73+43=116, Resulting Numbers: [82, 116]
Generated Node #0,1,0: 79:[82, 116] Operation: 73+43=116
Exploring Operation: 82-73=9, Resulting Numbers: [43, 9]
Generated Node #0,1,1: 79:[43, 9] Operation: 82-73=9
Exploring Operation: 73-43=30, Resulting Numbers: [82, 30]
Generated Node #0,1,2: 79:[82, 30] Operation: 73-43=30
Exploring Operation: 82-43=39, Resulting Numbers: [73, 39]
Generated Node #0,1,3: 79:[73, 39] Operation: 82-43=39
Exploring Operation: 82+43=125, Resulting Numbers: [73, 125]
Generated Node #0,1,4: 79:[73, 125] Operation: 82+43=125
Moving to Node #0,1,0
Current State: 79:[82, 116], Operations: ['15+28=43', '73+43=116']
Exploring Operation: 116-82=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 82+116=198, Resulting Numbers: [198]
198,79 unequal: No Solution
Exploring Operation: 82*116=9512, Resulting Numbers: [9512]
9512,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[73, 39], Operations: ['15+28=43', '82-43=39']
Exploring Operation: 73*39=2847, Resulting Numbers: [2847]
2847,79 unequal: No Solution
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[82, 30], Operations: ['15+28=43', '73-43=30']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 82+30=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Exploring Operation: 82*30=2460, Resulting Numbers: [2460]
2460,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[73, 125], Operations: ['15+28=43', '82+43=125']
Exploring Operation: 125-73=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 73*125=9125, Resulting Numbers: [9125]
9125,79 unequal: No Solution
Exploring Operation: 73+125=198, Resulting Numbers: [198]
198,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[43, 9], Operations: ['15+28=43', '82-73=9']
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[82, 28, 88], Operations: ['15+73=88']
Exploring Operation: 88-28=60, Resulting Numbers: [82, 60]
Generated Node #0,0,0: 79:[82, 60] Operation: 88-28=60
Exploring Operation: 88-82=6, Resulting Numbers: [28, 6]
Generated Node #0,0,1: 79:[28, 6] Operation: 88-82=6
Exploring Operation: 82+28=110, Resulting Numbers: [88, 110]
Generated Node #0,0,2: 79:[88, 110] Operation: 82+28=110
Exploring Operation: 82-28=54, Resulting Numbers: [88, 54]
Generated Node #0,0,3: 79:[88, 54] Operation: 82-28=54
Exploring Operation: 28+88=116, Resulting Numbers: [82, 116]
Generated Node #0,0,4: 79:[82, 116] Operation: 28+88=116
Moving to Node #0,0,0
Current State: 79:[82, 60], Operations: ['15+73=88', '88-28=60']
Exploring Operation: 82*60=4920, Resulting Numbers: [4920]
4920,79 unequal: No Solution
Exploring Operation: 82+60=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[88, 54], Operations: ['15+73=88', '82-28=54']
Exploring Operation: 88*54=4752, Resulting Numbers: [4752]
4752,79 unequal: No Solution
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 88+54=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[88, 110], Operations: ['15+73=88', '82+28=110']
Exploring Operation: 110-88=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 88*110=9680, Resulting Numbers: [9680]
9680,79 unequal: No Solution
Exploring Operation: 88+110=198, Resulting Numbers: [198]
198,79 unequal: No Solution
Moving to Node #0,0,4
Current State: 79:[82, 116], Operations: ['15+73=88', '28+88=116']
Exploring Operation: 82*116=9512, Resulting Numbers: [9512]
9512,79 unequal: No Solution
Exploring Operation: 116-82=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 82+116=198, Resulting Numbers: [198]
198,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[28, 6], Operations: ['15+73=88', '88-82=6']
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,79 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[73, 28, 67], Operations: ['82-15=67']
Exploring Operation: 67-28=39, Resulting Numbers: [73, 39]
Generated Node #0,2,0: 79:[73, 39] Operation: 67-28=39
Exploring Operation: 73+28=101, Resulting Numbers: [67, 101]
Generated Node #0,2,1: 79:[67, 101] Operation: 73+28=101
Exploring Operation: 28+67=95, Resulting Numbers: [73, 95]
Generated Node #0,2,2: 79:[73, 95] Operation: 28+67=95
Exploring Operation: 73+67=140, Resulting Numbers: [28, 140]
Generated Node #0,2,3: 79:[28, 140] Operation: 73+67=140
Exploring Operation: 73-28=45, Resulting Numbers: [67, 45]
Generated Node #0,2,4: 79:[67, 45] Operation: 73-28=45
Moving to Node #0,2,2
Current State: 79:[73, 95], Operations: ['82-15=67', '28+67=95']
Exploring Operation: 73*95=6935, Resulting Numbers: [6935]
6935,79 unequal: No Solution
Exploring Operation: 95-73=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 73+95=168, Resulting Numbers: [168]
168,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[67, 101], Operations: ['82-15=67', '73+28=101']
Exploring Operation: 101-67=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 67+101=168, Resulting Numbers: [168]
168,79 unequal: No Solution
Exploring Operation: 67*101=6767, Resulting Numbers: [6767]
6767,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[73, 39], Operations: ['82-15=67', '67-28=39']
Exploring Operation: 73*39=2847, Resulting Numbers: [2847]
2847,79 unequal: No Solution
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Moving to Node #0,2,4
Current State: 79:[67, 45], Operations: ['82-15=67', '73-28=45']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,79 unequal: No Solution
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[28, 140], Operations: ['82-15=67', '73+67=140']
Exploring Operation: 140-28=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Exploring Operation: 28*140=3920, Resulting Numbers: [3920]
3920,79 unequal: No Solution
Exploring Operation: 140/28=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 28+140=168, Resulting Numbers: [168]
168,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[73, 28, 97], Operations: ['82+15=97']
Exploring Operation: 97-28=69, Resulting Numbers: [73, 69]
Generated Node #0,3,0: 79:[73, 69] Operation: 97-28=69
Exploring Operation: 97-73=24, Resulting Numbers: [28, 24]
Generated Node #0,3,1: 79:[28, 24] Operation: 97-73=24
Exploring Operation: 28+97=125, Resulting Numbers: [73, 125]
Generated Node #0,3,2: 79:[73, 125] Operation: 28+97=125
Exploring Operation: 73+28=101, Resulting Numbers: [97, 101]
Generated Node #0,3,3: 79:[97, 101] Operation: 73+28=101
Exploring Operation: 73-28=45, Resulting Numbers: [97, 45]
Generated Node #0,3,4: 79:[97, 45] Operation: 73-28=45
Moving to Node #0,3,0
Current State: 79:[73, 69], Operations: ['82+15=97', '97-28=69']
Exploring Operation: 73+69=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 73-69=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 73*69=5037, Resulting Numbers: [5037]
5037,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[97, 101], Operations: ['82+15=97', '73+28=101']
Exploring Operation: 101-97=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 97+101=198, Resulting Numbers: [198]
198,79 unequal: No Solution
Exploring Operation: 97*101=9797, Resulting Numbers: [9797]
9797,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[73, 125], Operations: ['82+15=97', '28+97=125']
Exploring Operation: 73*125=9125, Resulting Numbers: [9125]
9125,79 unequal: No Solution
Exploring Operation: 125-73=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 73+125=198, Resulting Numbers: [198]
198,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[97, 45], Operations: ['82+15=97', '73-28=45']
Exploring Operation: 97-45=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 97+45=142, Resulting Numbers: [142]
142,79 unequal: No Solution
Exploring Operation: 97*45=4365, Resulting Numbers: [4365]
4365,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[28, 24], Operations: ['82+15=97', '97-73=24']
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,79 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[82, 28, 58], Operations: ['73-15=58']
Exploring Operation: 82-28=54, Resulting Numbers: [58, 54]
Generated Node #0,4,0: 79:[58, 54] Operation: 82-28=54
Exploring Operation: 28+58=86, Resulting Numbers: [82, 86]
Generated Node #0,4,1: 79:[82, 86] Operation: 28+58=86
Exploring Operation: 58-28=30, Resulting Numbers: [82, 30]
Generated Node #0,4,2: 79:[82, 30] Operation: 58-28=30
Exploring Operation: 82-58=24, Resulting Numbers: [28, 24]
Generated Node #0,4,3: 79:[28, 24] Operation: 82-58=24
Exploring Operation: 82+28=110, Resulting Numbers: [58, 110]
Generated Node #0,4,4: 79:[58, 110] Operation: 82+28=110
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 79:[82, 86], Operations: ['73-15=58', '28+58=86']
Exploring Operation: 82*86=7052, Resulting Numbers: [7052]
7052,79 unequal: No Solution
Exploring Operation: 82+86=168, Resulting Numbers: [168]
168,79 unequal: No Solution
Exploring Operation: 86-82=4, Resulting Numbers: [4]
4,79 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 #0,4,0
Current State: 79:[58, 54], Operations: ['73-15=58', '82-28=54']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,79 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 #0,4,2
Current State: 79:[82, 30], Operations: ['73-15=58', '58-28=30']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 82+30=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Exploring Operation: 82*30=2460, Resulting Numbers: [2460]
2460,79 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 #0,4,4
Current State: 79:[58, 110], Operations: ['73-15=58', '82+28=110']
Exploring Operation: 110-58=52, Resulting Numbers: [52]
52,79 unequal: No Solution
Exploring Operation: 58*110=6380, Resulting Numbers: [6380]
6380,79 unequal: No Solution
Exploring Operation: 58+110=168, Resulting Numbers: [168]
168,79 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 #0,4,3
Current State: 79:[28, 24], Operations: ['73-15=58', '82-58=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,79 unequal: No Solution
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,79 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
21,
56,
67,
14
] | 82 | [
"56+67=123",
"14*123=1722",
"1722/21=82"
] | Current State: 82:[21, 56, 67, 14], Operations: []
Exploring Operation: 56+67=123, Resulting Numbers: [21, 14, 123]
Generated Node #2: [21, 14, 123] from Operation: 56+67=123
Current State: 82:[21, 14, 123], Operations: ['56+67=123']
Exploring Operation: 14*123=1722, Resulting Numbers: [21, 1722]
Generated Node #3: [21, 1722] from Operation: 14*123=1722
Current State: 82:[21, 1722], Operations: ['56+67=123', '14*123=1722']
Exploring Operation: 1722/21=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[21, 56, 67, 14], Operations: []
Exploring Operation: 21+67=88, Resulting Numbers: [56, 14, 88]
Generated Node #0,0: 82:[56, 14, 88] Operation: 21+67=88
Exploring Operation: 21+56=77, Resulting Numbers: [67, 14, 77]
Generated Node #0,1: 82:[67, 14, 77] Operation: 21+56=77
Exploring Operation: 67-21=46, Resulting Numbers: [56, 14, 46]
Generated Node #0,2: 82:[56, 14, 46] Operation: 67-21=46
Exploring Operation: 56-21=35, Resulting Numbers: [67, 14, 35]
Generated Node #0,3: 82:[67, 14, 35] Operation: 56-21=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[67, 14, 77], Operations: ['21+56=77']
Exploring Operation: 14+77=91, Resulting Numbers: [67, 91]
Generated Node #0,1,0: 82:[67, 91] Operation: 14+77=91
Exploring Operation: 67+14=81, Resulting Numbers: [77, 81]
Generated Node #0,1,1: 82:[77, 81] Operation: 67+14=81
Exploring Operation: 67-14=53, Resulting Numbers: [77, 53]
Generated Node #0,1,2: 82:[77, 53] Operation: 67-14=53
Exploring Operation: 77-67=10, Resulting Numbers: [14, 10]
Generated Node #0,1,3: 82:[14, 10] Operation: 77-67=10
Moving to Node #0,1,1
Current State: 82:[77, 81], Operations: ['21+56=77', '67+14=81']
Exploring Operation: 81-77=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 77+81=158, Resulting Numbers: [158]
158,82 unequal: No Solution
Exploring Operation: 77*81=6237, Resulting Numbers: [6237]
6237,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[77, 53], Operations: ['21+56=77', '67-14=53']
Exploring Operation: 77+53=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Exploring Operation: 77-53=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 77*53=4081, Resulting Numbers: [4081]
4081,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[14, 10], Operations: ['21+56=77', '77-67=10']
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,82 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[67, 91], Operations: ['21+56=77', '14+77=91']
Exploring Operation: 67*91=6097, Resulting Numbers: [6097]
6097,82 unequal: No Solution
Exploring Operation: 67+91=158, Resulting Numbers: [158]
158,82 unequal: No Solution
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[56, 14, 46], Operations: ['67-21=46']
Exploring Operation: 56-14=42, Resulting Numbers: [46, 42]
Generated Node #0,2,0: 82:[46, 42] Operation: 56-14=42
Exploring Operation: 56+14=70, Resulting Numbers: [46, 70]
Generated Node #0,2,1: 82:[46, 70] Operation: 56+14=70
Exploring Operation: 56-46=10, Resulting Numbers: [14, 10]
Generated Node #0,2,2: 82:[14, 10] Operation: 56-46=10
Exploring Operation: 56/14=4, Resulting Numbers: [46, 4]
Generated Node #0,2,3: 82:[46, 4] Operation: 56/14=4
Moving to Node #0,2,0
Current State: 82:[46, 42], Operations: ['67-21=46', '56-14=42']
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,82 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[46, 4], Operations: ['67-21=46', '56/14=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,82 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[46, 70], Operations: ['67-21=46', '56+14=70']
Exploring Operation: 46+70=116, Resulting Numbers: [116]
116,82 unequal: No Solution
Exploring Operation: 70-46=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 46*70=3220, Resulting Numbers: [3220]
3220,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[14, 10], Operations: ['67-21=46', '56-46=10']
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[56, 14, 88], Operations: ['21+67=88']
Exploring Operation: 56/14=4, Resulting Numbers: [88, 4]
Generated Node #0,0,0: 82:[88, 4] Operation: 56/14=4
Exploring Operation: 88-56=32, Resulting Numbers: [14, 32]
Generated Node #0,0,1: 82:[14, 32] Operation: 88-56=32
Exploring Operation: 56-14=42, Resulting Numbers: [88, 42]
Generated Node #0,0,2: 82:[88, 42] Operation: 56-14=42
Exploring Operation: 56+14=70, Resulting Numbers: [88, 70]
Generated Node #0,0,3: 82:[88, 70] Operation: 56+14=70
Moving to Node #0,0,2
Current State: 82:[88, 42], Operations: ['21+67=88', '56-14=42']
Exploring Operation: 88+42=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 88*42=3696, Resulting Numbers: [3696]
3696,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[88, 4], Operations: ['21+67=88', '56/14=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 88*4=352, Resulting Numbers: [352]
352,82 unequal: No Solution
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[88, 70], Operations: ['21+67=88', '56+14=70']
Exploring Operation: 88*70=6160, Resulting Numbers: [6160]
6160,82 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,82 unequal: No Solution
Exploring Operation: 88+70=158, Resulting Numbers: [158]
158,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[14, 32], Operations: ['21+67=88', '88-56=32']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,82 unequal: No Solution
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,82 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[67, 14, 35], Operations: ['56-21=35']
Exploring Operation: 67+14=81, Resulting Numbers: [35, 81]
Generated Node #0,3,0: 82:[35, 81] Operation: 67+14=81
Exploring Operation: 67-14=53, Resulting Numbers: [35, 53]
Generated Node #0,3,1: 82:[35, 53] Operation: 67-14=53
Exploring Operation: 67-35=32, Resulting Numbers: [14, 32]
Generated Node #0,3,2: 82:[14, 32] Operation: 67-35=32
Exploring Operation: 14+35=49, Resulting Numbers: [67, 49]
Generated Node #0,3,3: 82:[67, 49] Operation: 14+35=49
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 82:[35, 81], Operations: ['56-21=35', '67+14=81']
Exploring Operation: 35*81=2835, Resulting Numbers: [2835]
2835,82 unequal: No Solution
Exploring Operation: 35+81=116, Resulting Numbers: [116]
116,82 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 82:[35, 53], Operations: ['56-21=35', '67-14=53']
Exploring Operation: 35*53=1855, Resulting Numbers: [1855]
1855,82 unequal: No Solution
Exploring Operation: 35+53=88, Resulting Numbers: [88]
88,82 unequal: No Solution
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 82:[14, 32], Operations: ['56-21=35', '67-35=32']
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,82 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 82:[67, 49], Operations: ['56-21=35', '14+35=49']
Exploring Operation: 67*49=3283, Resulting Numbers: [3283]
3283,82 unequal: No Solution
Exploring Operation: 67-49=18, Resulting Numbers: [18]
18,82 unequal: No Solution
Exploring Operation: 67+49=116, Resulting Numbers: [116]
116,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
53,
78,
39,
52
] | 38 | [
"78-53=25",
"52-39=13",
"25+13=38"
] | Current State: 38:[53, 78, 39, 52], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [39, 52, 25]
Generated Node #2: [39, 52, 25] from Operation: 78-53=25
Current State: 38:[39, 52, 25], Operations: ['78-53=25']
Exploring Operation: 52-39=13, Resulting Numbers: [25, 13]
Generated Node #3: [25, 13] from Operation: 52-39=13
Current State: 38:[25, 13], Operations: ['78-53=25', '52-39=13']
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[53, 78, 39, 52], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [39, 52, 25]
Generated Node #0,0: 38:[39, 52, 25] Operation: 78-53=25
Moving to Node #0,0
Current State: 38:[39, 52, 25], Operations: ['78-53=25']
Exploring Operation: 52-25=27, Resulting Numbers: [39, 27]
Generated Node #0,0,0: 38:[39, 27] Operation: 52-25=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[39, 27], Operations: ['78-53=25', '52-25=27']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
10,
15,
66
] | 70 | [
"66/3=22",
"22-15=7",
"10*7=70"
] | Current State: 70:[3, 10, 15, 66], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [10, 15, 22]
Generated Node #2: [10, 15, 22] from Operation: 66/3=22
Current State: 70:[10, 15, 22], Operations: ['66/3=22']
Exploring Operation: 22-15=7, Resulting Numbers: [10, 7]
Generated Node #3: [10, 7] from Operation: 22-15=7
Current State: 70:[10, 7], Operations: ['66/3=22', '22-15=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[3, 10, 15, 66], Operations: []
Exploring Operation: 3+66=69, Resulting Numbers: [10, 15, 69]
Generated Node #0,0: 70:[10, 15, 69] Operation: 3+66=69
Exploring Operation: 15/3=5, Resulting Numbers: [10, 66, 5]
Generated Node #0,1: 70:[10, 66, 5] Operation: 15/3=5
Moving to Node #0,0
Current State: 70:[10, 15, 69], Operations: ['3+66=69']
Exploring Operation: 15-10=5, Resulting Numbers: [69, 5]
Generated Node #0,0,0: 70:[69, 5] Operation: 15-10=5
Exploring Operation: 10+69=79, Resulting Numbers: [15, 79]
Generated Node #0,0,1: 70:[15, 79] Operation: 10+69=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[69, 5], Operations: ['3+66=69', '15-10=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,70 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 #0,0,1
Current State: 70:[15, 79], Operations: ['3+66=69', '10+69=79']
Exploring Operation: 15+79=94, Resulting Numbers: [94]
94,70 unequal: No Solution
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,70 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:[10, 66, 5], Operations: ['15/3=5']
Exploring Operation: 66+5=71, Resulting Numbers: [10, 71]
Generated Node #0,1,0: 70:[10, 71] Operation: 66+5=71
Exploring Operation: 10-5=5, Resulting Numbers: [66, 5]
Generated Node #0,1,1: 70:[66, 5] Operation: 10-5=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[10, 71], Operations: ['15/3=5', '66+5=71']
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,70 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[66, 5], Operations: ['15/3=5', '10-5=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,70 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 |
[
12,
16,
28,
20
] | 32 | [
"16-12=4",
"28-20=8",
"4*8=32"
] | Current State: 32:[12, 16, 28, 20], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [28, 20, 4]
Generated Node #2: [28, 20, 4] from Operation: 16-12=4
Current State: 32:[28, 20, 4], Operations: ['16-12=4']
Exploring Operation: 28-20=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 28-20=8
Current State: 32:[4, 8], Operations: ['16-12=4', '28-20=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[12, 16, 28, 20], Operations: []
Exploring Operation: 28-12=16, Resulting Numbers: [16, 20, 16]
Generated Node #0,0: 32:[16, 20, 16] Operation: 28-12=16
Exploring Operation: 12+20=32, Resulting Numbers: [16, 28, 32]
Generated Node #0,1: 32:[16, 28, 32] Operation: 12+20=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[16, 20, 16], Operations: ['28-12=16']
Exploring Operation: 20-16=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 32:[16, 4] Operation: 20-16=4
Exploring Operation: 20-16=4, Resulting Numbers: [16, 4]
Generated Node #0,0,1: 32:[16, 4] Operation: 20-16=4
Moving to Node #0,0,0
Current State: 32:[16, 4], Operations: ['28-12=16', '20-16=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[16, 4], Operations: ['28-12=16', '20-16=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,32 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 #0,1
Current State: 32:[16, 28, 32], Operations: ['12+20=32']
Exploring Operation: 32-28=4, Resulting Numbers: [16, 4]
Generated Node #0,1,0: 32:[16, 4] Operation: 32-28=4
Exploring Operation: 28-16=12, Resulting Numbers: [32, 12]
Generated Node #0,1,1: 32:[32, 12] Operation: 28-16=12
Moving to Node #0,1,0
Current State: 32:[16, 4], Operations: ['12+20=32', '32-28=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[32, 12], Operations: ['12+20=32', '28-16=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,32 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 |
[
23,
82,
73,
72
] | 86 | [
"82-23=59",
"73+72=145",
"145-59=86"
] | Current State: 86:[23, 82, 73, 72], Operations: []
Exploring Operation: 82-23=59, Resulting Numbers: [73, 72, 59]
Generated Node #2: [73, 72, 59] from Operation: 82-23=59
Current State: 86:[73, 72, 59], Operations: ['82-23=59']
Exploring Operation: 73+72=145, Resulting Numbers: [59, 145]
Generated Node #3: [59, 145] from Operation: 73+72=145
Current State: 86:[59, 145], Operations: ['82-23=59', '73+72=145']
Exploring Operation: 145-59=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[23, 82, 73, 72], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [23, 82, 1]
Generated Node #0,0: 86:[23, 82, 1] Operation: 73-72=1
Exploring Operation: 72-23=49, Resulting Numbers: [82, 73, 49]
Generated Node #0,1: 86:[82, 73, 49] Operation: 72-23=49
Exploring Operation: 73-23=50, Resulting Numbers: [82, 72, 50]
Generated Node #0,2: 86:[82, 72, 50] Operation: 73-23=50
Moving to Node #0,1
Current State: 86:[82, 73, 49], Operations: ['72-23=49']
Exploring Operation: 82-49=33, Resulting Numbers: [73, 33]
Generated Node #0,1,0: 86:[73, 33] Operation: 82-49=33
Exploring Operation: 73-49=24, Resulting Numbers: [82, 24]
Generated Node #0,1,1: 86:[82, 24] Operation: 73-49=24
Exploring Operation: 82-73=9, Resulting Numbers: [49, 9]
Generated Node #0,1,2: 86:[49, 9] Operation: 82-73=9
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[49, 9], Operations: ['72-23=49', '82-73=9']
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,86 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[73, 33], Operations: ['72-23=49', '82-49=33']
Exploring Operation: 73+33=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 73-33=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 73*33=2409, Resulting Numbers: [2409]
2409,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[82, 24], Operations: ['72-23=49', '73-49=24']
Exploring Operation: 82*24=1968, Resulting Numbers: [1968]
1968,86 unequal: No Solution
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 82+24=106, Resulting Numbers: [106]
106,86 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: 86:[23, 82, 1], Operations: ['73-72=1']
Exploring Operation: 23+82=105, Resulting Numbers: [1, 105]
Generated Node #0,0,0: 86:[1, 105] Operation: 23+82=105
Exploring Operation: 82-23=59, Resulting Numbers: [1, 59]
Generated Node #0,0,1: 86:[1, 59] Operation: 82-23=59
Exploring Operation: 23+1=24, Resulting Numbers: [82, 24]
Generated Node #0,0,2: 86:[82, 24] Operation: 23+1=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[1, 59], Operations: ['73-72=1', '82-23=59']
Exploring Operation: 1*59=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[1, 105], Operations: ['73-72=1', '23+82=105']
Exploring Operation: 1*105=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 105-1=104, Resulting Numbers: [104]
104,86 unequal: No Solution
Exploring Operation: 105/1=105, Resulting Numbers: [105]
105,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[82, 24], Operations: ['73-72=1', '23+1=24']
Exploring Operation: 82*24=1968, Resulting Numbers: [1968]
1968,86 unequal: No Solution
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 82+24=106, Resulting Numbers: [106]
106,86 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: 86:[82, 72, 50], Operations: ['73-23=50']
Exploring Operation: 72-50=22, Resulting Numbers: [82, 22]
Generated Node #0,2,0: 86:[82, 22] Operation: 72-50=22
Exploring Operation: 82-72=10, Resulting Numbers: [50, 10]
Generated Node #0,2,1: 86:[50, 10] Operation: 82-72=10
Exploring Operation: 82-50=32, Resulting Numbers: [72, 32]
Generated Node #0,2,2: 86:[72, 32] Operation: 82-50=32
Moving to Node #0,2,1
Current State: 86:[50, 10], Operations: ['73-23=50', '82-72=10']
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[82, 22], Operations: ['73-23=50', '72-50=22']
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,86 unequal: No Solution
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[72, 32], Operations: ['73-23=50', '82-50=32']
Exploring Operation: 72+32=104, Resulting Numbers: [104]
104,86 unequal: No Solution
Exploring Operation: 72*32=2304, Resulting Numbers: [2304]
2304,86 unequal: No Solution
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,86 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
2,
23,
55,
56
] | 11 | [
"56/2=28",
"28-23=5",
"55/5=11"
] | Current State: 11:[2, 23, 55, 56], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [23, 55, 28]
Generated Node #2: [23, 55, 28] from Operation: 56/2=28
Current State: 11:[23, 55, 28], Operations: ['56/2=28']
Exploring Operation: 28-23=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 28-23=5
Current State: 11:[55, 5], Operations: ['56/2=28', '28-23=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[2, 23, 55, 56], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [2, 23, 1]
Generated Node #0,0: 11:[2, 23, 1] Operation: 56-55=1
Exploring Operation: 56/2=28, Resulting Numbers: [23, 55, 28]
Generated Node #0,1: 11:[23, 55, 28] Operation: 56/2=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[2, 23, 1], Operations: ['56-55=1']
Exploring Operation: 2+1=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 11:[23, 3] Operation: 2+1=3
Exploring Operation: 23-2=21, Resulting Numbers: [1, 21]
Generated Node #0,0,1: 11:[1, 21] Operation: 23-2=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[23, 3], Operations: ['56-55=1', '2+1=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,11 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:[1, 21], Operations: ['56-55=1', '23-2=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 1*21=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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[23, 55, 28], Operations: ['56/2=28']
Exploring Operation: 55-23=32, Resulting Numbers: [28, 32]
Generated Node #0,1,0: 11:[28, 32] Operation: 55-23=32
Exploring Operation: 55-28=27, Resulting Numbers: [23, 27]
Generated Node #0,1,1: 11:[23, 27] Operation: 55-28=27
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[23, 27], Operations: ['56/2=28', '55-28=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[28, 32], Operations: ['56/2=28', '55-23=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,11 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 |
[
37,
11,
26,
42
] | 79 | [
"37-26=11",
"11*11=121",
"121-42=79"
] | Current State: 79:[37, 11, 26, 42], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [11, 42, 11]
Generated Node #2: [11, 42, 11] from Operation: 37-26=11
Current State: 79:[11, 42, 11], Operations: ['37-26=11']
Exploring Operation: 11*11=121, Resulting Numbers: [42, 121]
Generated Node #3: [42, 121] from Operation: 11*11=121
Current State: 79:[42, 121], Operations: ['37-26=11', '11*11=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[37, 11, 26, 42], Operations: []
Exploring Operation: 37+42=79, Resulting Numbers: [11, 26, 79]
Generated Node #0,0: 79:[11, 26, 79] Operation: 37+42=79
Exploring Operation: 37+26=63, Resulting Numbers: [11, 42, 63]
Generated Node #0,1: 79:[11, 42, 63] Operation: 37+26=63
Exploring Operation: 11+42=53, Resulting Numbers: [37, 26, 53]
Generated Node #0,2: 79:[37, 26, 53] Operation: 11+42=53
Exploring Operation: 11+26=37, Resulting Numbers: [37, 42, 37]
Generated Node #0,3: 79:[37, 42, 37] Operation: 11+26=37
Exploring Operation: 37+11=48, Resulting Numbers: [26, 42, 48]
Generated Node #0,4: 79:[26, 42, 48] Operation: 37+11=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[11, 26, 79], Operations: ['37+42=79']
Exploring Operation: 26+79=105, Resulting Numbers: [11, 105]
Generated Node #0,0,0: 79:[11, 105] Operation: 26+79=105
Exploring Operation: 11+79=90, Resulting Numbers: [26, 90]
Generated Node #0,0,1: 79:[26, 90] Operation: 11+79=90
Exploring Operation: 79-11=68, Resulting Numbers: [26, 68]
Generated Node #0,0,2: 79:[26, 68] Operation: 79-11=68
Exploring Operation: 26-11=15, Resulting Numbers: [79, 15]
Generated Node #0,0,3: 79:[79, 15] Operation: 26-11=15
Exploring Operation: 11+26=37, Resulting Numbers: [79, 37]
Generated Node #0,0,4: 79:[79, 37] Operation: 11+26=37
Moving to Node #0,0,4
Current State: 79:[79, 37], Operations: ['37+42=79', '11+26=37']
Exploring Operation: 79+37=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 79*37=2923, Resulting Numbers: [2923]
2923,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[26, 68], Operations: ['37+42=79', '79-11=68']
Exploring Operation: 26*68=1768, Resulting Numbers: [1768]
1768,79 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[26, 90], Operations: ['37+42=79', '11+79=90']
Exploring Operation: 26*90=2340, Resulting Numbers: [2340]
2340,79 unequal: No Solution
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 26+90=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[79, 15], Operations: ['37+42=79', '26-11=15']
Exploring Operation: 79*15=1185, Resulting Numbers: [1185]
1185,79 unequal: No Solution
Exploring Operation: 79+15=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[11, 105], Operations: ['37+42=79', '26+79=105']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Exploring Operation: 11*105=1155, Resulting Numbers: [1155]
1155,79 unequal: No Solution
Exploring Operation: 11+105=116, Resulting Numbers: [116]
116,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[11, 42, 63], Operations: ['37+26=63']
Exploring Operation: 11+63=74, Resulting Numbers: [42, 74]
Generated Node #0,1,0: 79:[42, 74] Operation: 11+63=74
Exploring Operation: 42+63=105, Resulting Numbers: [11, 105]
Generated Node #0,1,1: 79:[11, 105] Operation: 42+63=105
Exploring Operation: 11+42=53, Resulting Numbers: [63, 53]
Generated Node #0,1,2: 79:[63, 53] Operation: 11+42=53
Exploring Operation: 63-11=52, Resulting Numbers: [42, 52]
Generated Node #0,1,3: 79:[42, 52] Operation: 63-11=52
Exploring Operation: 42-11=31, Resulting Numbers: [63, 31]
Generated Node #0,1,4: 79:[63, 31] Operation: 42-11=31
Moving to Node #0,1,0
Current State: 79:[42, 74], Operations: ['37+26=63', '11+63=74']
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,79 unequal: No Solution
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[63, 53], Operations: ['37+26=63', '11+42=53']
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[42, 52], Operations: ['37+26=63', '63-11=52']
Exploring Operation: 42*52=2184, Resulting Numbers: [2184]
2184,79 unequal: No Solution
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[63, 31], Operations: ['37+26=63', '42-11=31']
Exploring Operation: 63-31=32, Resulting Numbers: [32]
32,79 unequal: No Solution
Exploring Operation: 63*31=1953, Resulting Numbers: [1953]
1953,79 unequal: No Solution
Exploring Operation: 63+31=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[11, 105], Operations: ['37+26=63', '42+63=105']
Exploring Operation: 11+105=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 11*105=1155, Resulting Numbers: [1155]
1155,79 unequal: No Solution
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[37, 26, 53], Operations: ['11+42=53']
Exploring Operation: 37-26=11, Resulting Numbers: [53, 11]
Generated Node #0,2,0: 79:[53, 11] Operation: 37-26=11
Exploring Operation: 37+26=63, Resulting Numbers: [53, 63]
Generated Node #0,2,1: 79:[53, 63] Operation: 37+26=63
Exploring Operation: 37+53=90, Resulting Numbers: [26, 90]
Generated Node #0,2,2: 79:[26, 90] Operation: 37+53=90
Exploring Operation: 53-26=27, Resulting Numbers: [37, 27]
Generated Node #0,2,3: 79:[37, 27] Operation: 53-26=27
Exploring Operation: 26+53=79, Resulting Numbers: [37, 79]
Generated Node #0,2,4: 79:[37, 79] Operation: 26+53=79
Moving to Node #0,2,1
Current State: 79:[53, 63], Operations: ['11+42=53', '37+26=63']
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 53+63=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 53*63=3339, Resulting Numbers: [3339]
3339,79 unequal: No Solution
Moving to Node #0,2,4
Current State: 79:[37, 79], Operations: ['11+42=53', '26+53=79']
Exploring Operation: 37*79=2923, Resulting Numbers: [2923]
2923,79 unequal: No Solution
Exploring Operation: 37+79=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[26, 90], Operations: ['11+42=53', '37+53=90']
Exploring Operation: 26+90=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 26*90=2340, Resulting Numbers: [2340]
2340,79 unequal: No Solution
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[53, 11], Operations: ['11+42=53', '37-26=11']
Exploring Operation: 53*11=583, Resulting Numbers: [583]
583,79 unequal: No Solution
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 53+11=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[37, 27], Operations: ['11+42=53', '53-26=27']
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 37+27=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 37*27=999, Resulting Numbers: [999]
999,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[37, 42, 37], Operations: ['11+26=37']
Exploring Operation: 42+37=79, Resulting Numbers: [37, 79]
Generated Node #0,3,0: 79:[37, 79] Operation: 42+37=79
Exploring Operation: 37+37=74, Resulting Numbers: [42, 74]
Generated Node #0,3,1: 79:[42, 74] Operation: 37+37=74
Exploring Operation: 42-37=5, Resulting Numbers: [37, 5]
Generated Node #0,3,2: 79:[37, 5] Operation: 42-37=5
Exploring Operation: 37+42=79, Resulting Numbers: [37, 79]
Generated Node #0,3,3: 79:[37, 79] Operation: 37+42=79
Exploring Operation: 37/37=1, Resulting Numbers: [42, 1]
Generated Node #0,3,4: 79:[42, 1] Operation: 37/37=1
Moving to Node #0,3,0
Current State: 79:[37, 79], Operations: ['11+26=37', '42+37=79']
Exploring Operation: 37*79=2923, Resulting Numbers: [2923]
2923,79 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 37+79=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[37, 79], Operations: ['11+26=37', '37+42=79']
Exploring Operation: 37*79=2923, Resulting Numbers: [2923]
2923,79 unequal: No Solution
Exploring Operation: 37+79=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[42, 74], Operations: ['11+26=37', '37+37=74']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,79 unequal: No Solution
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,79 unequal: No Solution
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[42, 1], Operations: ['11+26=37', '37/37=1']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[37, 5], Operations: ['11+26=37', '42-37=5']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,79 unequal: No Solution
Exploring Operation: 37*5=185, Resulting Numbers: [185]
185,79 unequal: No Solution
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[26, 42, 48], Operations: ['37+11=48']
Exploring Operation: 42-26=16, Resulting Numbers: [48, 16]
Generated Node #0,4,0: 79:[48, 16] Operation: 42-26=16
Exploring Operation: 48-26=22, Resulting Numbers: [42, 22]
Generated Node #0,4,1: 79:[42, 22] Operation: 48-26=22
Exploring Operation: 42+48=90, Resulting Numbers: [26, 90]
Generated Node #0,4,2: 79:[26, 90] Operation: 42+48=90
Exploring Operation: 26+42=68, Resulting Numbers: [48, 68]
Generated Node #0,4,3: 79:[48, 68] Operation: 26+42=68
Exploring Operation: 26+48=74, Resulting Numbers: [42, 74]
Generated Node #0,4,4: 79:[42, 74] Operation: 26+48=74
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 79:[48, 68], Operations: ['37+11=48', '26+42=68']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 48*68=3264, Resulting Numbers: [3264]
3264,79 unequal: No Solution
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,79 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 #0,4,4
Current State: 79:[42, 74], Operations: ['37+11=48', '26+48=74']
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,79 unequal: No Solution
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,79 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 #0,4,2
Current State: 79:[26, 90], Operations: ['37+11=48', '42+48=90']
Exploring Operation: 26+90=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 26*90=2340, Resulting Numbers: [2340]
2340,79 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 #0,4,0
Current State: 79:[48, 16], Operations: ['37+11=48', '42-26=16']
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 48*16=768, Resulting Numbers: [768]
768,79 unequal: No Solution
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,79 unequal: No Solution
Exploring Operation: 48+16=64, Resulting Numbers: [64]
64,79 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 #0,4,1
Current State: 79:[42, 22], Operations: ['37+11=48', '48-26=22']
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,79 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
24,
55,
63,
49
] | 59 | [
"55-49=6",
"24/6=4",
"63-4=59"
] | Current State: 59:[24, 55, 63, 49], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [24, 63, 6]
Generated Node #2: [24, 63, 6] from Operation: 55-49=6
Current State: 59:[24, 63, 6], Operations: ['55-49=6']
Exploring Operation: 24/6=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 24/6=4
Current State: 59:[63, 4], Operations: ['55-49=6', '24/6=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[24, 55, 63, 49], Operations: []
Exploring Operation: 24+49=73, Resulting Numbers: [55, 63, 73]
Generated Node #0,0: 59:[55, 63, 73] Operation: 24+49=73
Moving to Node #0,0
Current State: 59:[55, 63, 73], Operations: ['24+49=73']
Exploring Operation: 73-55=18, Resulting Numbers: [63, 18]
Generated Node #0,0,0: 59:[63, 18] Operation: 73-55=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[63, 18], Operations: ['24+49=73', '73-55=18']
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,59 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 |
[
59,
26,
96,
1
] | 64 | [
"59-26=33",
"96+1=97",
"97-33=64"
] | Current State: 64:[59, 26, 96, 1], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [96, 1, 33]
Generated Node #2: [96, 1, 33] from Operation: 59-26=33
Current State: 64:[96, 1, 33], Operations: ['59-26=33']
Exploring Operation: 96+1=97, Resulting Numbers: [33, 97]
Generated Node #3: [33, 97] from Operation: 96+1=97
Current State: 64:[33, 97], Operations: ['59-26=33', '96+1=97']
Exploring Operation: 97-33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[59, 26, 96, 1], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [96, 1, 33]
Generated Node #0,0: 64:[96, 1, 33] Operation: 59-26=33
Exploring Operation: 96-59=37, Resulting Numbers: [26, 1, 37]
Generated Node #0,1: 64:[26, 1, 37] Operation: 96-59=37
Exploring Operation: 96-26=70, Resulting Numbers: [59, 1, 70]
Generated Node #0,2: 64:[59, 1, 70] Operation: 96-26=70
Exploring Operation: 59+1=60, Resulting Numbers: [26, 96, 60]
Generated Node #0,3: 64:[26, 96, 60] Operation: 59+1=60
Exploring Operation: 26+1=27, Resulting Numbers: [59, 96, 27]
Generated Node #0,4: 64:[59, 96, 27] Operation: 26+1=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[26, 1, 37], Operations: ['96-59=37']
Exploring Operation: 37-1=36, Resulting Numbers: [26, 36]
Generated Node #0,1,0: 64:[26, 36] Operation: 37-1=36
Exploring Operation: 26+37=63, Resulting Numbers: [1, 63]
Generated Node #0,1,1: 64:[1, 63] Operation: 26+37=63
Exploring Operation: 26*1=26, Resulting Numbers: [37, 26]
Generated Node #0,1,2: 64:[37, 26] Operation: 26*1=26
Exploring Operation: 26+1=27, Resulting Numbers: [37, 27]
Generated Node #0,1,3: 64:[37, 27] Operation: 26+1=27
Exploring Operation: 37-26=11, Resulting Numbers: [1, 11]
Generated Node #0,1,4: 64:[1, 11] Operation: 37-26=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[1, 63], Operations: ['96-59=37', '26+37=63']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[59, 26, 96, 1], Operations: []
Exploring Operation: 96-59=37, Resulting Numbers: [26, 1, 37]
Generated Node #0,1: 64:[26, 1, 37] Operation: 96-59=37
Moving to Node #0,1
Current State: 64:[26, 1, 37], Operations: ['96-59=37']
Exploring Operation: 26+37=63, Resulting Numbers: [1, 63]
Generated Node #0,1,1: 64:[1, 63] Operation: 26+37=63
Moving to Node #0,1,1
Current State: 64:[1, 63], Operations: ['96-59=37', '26+37=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
18,
36,
37,
59
] | 20 | [
"36/18=2",
"59-37=22",
"22-2=20"
] | Current State: 20:[18, 36, 37, 59], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [37, 59, 2]
Generated Node #2: [37, 59, 2] from Operation: 36/18=2
Current State: 20:[37, 59, 2], Operations: ['36/18=2']
Exploring Operation: 59-37=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 59-37=22
Current State: 20:[2, 22], Operations: ['36/18=2', '59-37=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[18, 36, 37, 59], Operations: []
Exploring Operation: 37-36=1, Resulting Numbers: [18, 59, 1]
Generated Node #0,0: 20:[18, 59, 1] Operation: 37-36=1
Exploring Operation: 59-18=41, Resulting Numbers: [36, 37, 41]
Generated Node #0,1: 20:[36, 37, 41] Operation: 59-18=41
Exploring Operation: 59-36=23, Resulting Numbers: [18, 37, 23]
Generated Node #0,2: 20:[18, 37, 23] Operation: 59-36=23
Exploring Operation: 36/18=2, Resulting Numbers: [37, 59, 2]
Generated Node #0,3: 20:[37, 59, 2] Operation: 36/18=2
Exploring Operation: 59-37=22, Resulting Numbers: [18, 36, 22]
Generated Node #0,4: 20:[18, 36, 22] Operation: 59-37=22
Start Sub Search at level 1: Moving to Node #0,4
Current State: 20:[18, 36, 22], Operations: ['59-37=22']
Exploring Operation: 36/18=2, Resulting Numbers: [22, 2]
Generated Node #0,4,0: 20:[22, 2] Operation: 36/18=2
Exploring Operation: 36-22=14, Resulting Numbers: [18, 14]
Generated Node #0,4,1: 20:[18, 14] Operation: 36-22=14
Exploring Operation: 36-18=18, Resulting Numbers: [22, 18]
Generated Node #0,4,2: 20:[22, 18] Operation: 36-18=18
Exploring Operation: 22-18=4, Resulting Numbers: [36, 4]
Generated Node #0,4,3: 20:[36, 4] Operation: 22-18=4
Exploring Operation: 18+36=54, Resulting Numbers: [22, 54]
Generated Node #0,4,4: 20:[22, 54] Operation: 18+36=54
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 20:[22, 2], Operations: ['59-37=22', '36/18=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[18, 36, 37, 59], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [18, 36, 22]
Generated Node #0,4: 20:[18, 36, 22] Operation: 59-37=22
Moving to Node #0,4
Current State: 20:[18, 36, 22], Operations: ['59-37=22']
Exploring Operation: 36/18=2, Resulting Numbers: [22, 2]
Generated Node #0,4,0: 20:[22, 2] Operation: 36/18=2
Moving to Node #0,4,0
Current State: 20:[22, 2], Operations: ['59-37=22', '36/18=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
87,
7,
52,
91
] | 63 | [
"87-7=80",
"52+91=143",
"143-80=63"
] | Current State: 63:[87, 7, 52, 91], Operations: []
Exploring Operation: 87-7=80, Resulting Numbers: [52, 91, 80]
Generated Node #2: [52, 91, 80] from Operation: 87-7=80
Current State: 63:[52, 91, 80], Operations: ['87-7=80']
Exploring Operation: 52+91=143, Resulting Numbers: [80, 143]
Generated Node #3: [80, 143] from Operation: 52+91=143
Current State: 63:[80, 143], Operations: ['87-7=80', '52+91=143']
Exploring Operation: 143-80=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[87, 7, 52, 91], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [87, 7, 39]
Generated Node #0,0: 63:[87, 7, 39] Operation: 91-52=39
Exploring Operation: 91-87=4, Resulting Numbers: [7, 52, 4]
Generated Node #0,1: 63:[7, 52, 4] Operation: 91-87=4
Exploring Operation: 91/7=13, Resulting Numbers: [87, 52, 13]
Generated Node #0,2: 63:[87, 52, 13] Operation: 91/7=13
Exploring Operation: 87-52=35, Resulting Numbers: [7, 91, 35]
Generated Node #0,3: 63:[7, 91, 35] Operation: 87-52=35
Moving to Node #0,1
Current State: 63:[7, 52, 4], Operations: ['91-87=4']
Exploring Operation: 52+4=56, Resulting Numbers: [7, 56]
Generated Node #0,1,0: 63:[7, 56] Operation: 52+4=56
Exploring Operation: 7+52=59, Resulting Numbers: [4, 59]
Generated Node #0,1,1: 63:[4, 59] Operation: 7+52=59
Exploring Operation: 52/4=13, Resulting Numbers: [7, 13]
Generated Node #0,1,2: 63:[7, 13] Operation: 52/4=13
Exploring Operation: 7-4=3, Resulting Numbers: [52, 3]
Generated Node #0,1,3: 63:[52, 3] Operation: 7-4=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[7, 13], Operations: ['91-87=4', '52/4=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,63 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[4, 59], Operations: ['91-87=4', '7+52=59']
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,63 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,63 unequal: No Solution
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[87, 7, 52, 91], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [7, 52, 4]
Generated Node #0,1: 63:[7, 52, 4] Operation: 91-87=4
Moving to Node #0,1
Current State: 63:[7, 52, 4], Operations: ['91-87=4']
Exploring Operation: 7+52=59, Resulting Numbers: [4, 59]
Generated Node #0,1,1: 63:[4, 59] Operation: 7+52=59
Moving to Node #0,1,1
Current State: 63:[4, 59], Operations: ['91-87=4', '7+52=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
65,
54,
39,
45
] | 74 | [
"45-39=6",
"54/6=9",
"65+9=74"
] | Current State: 74:[65, 54, 39, 45], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [65, 54, 6]
Generated Node #2: [65, 54, 6] from Operation: 45-39=6
Current State: 74:[65, 54, 6], Operations: ['45-39=6']
Exploring Operation: 54/6=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 54/6=9
Current State: 74:[65, 9], Operations: ['45-39=6', '54/6=9']
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[65, 54, 39, 45], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [39, 45, 11]
Generated Node #0,0: 74:[39, 45, 11] Operation: 65-54=11
Exploring Operation: 54-45=9, Resulting Numbers: [65, 39, 9]
Generated Node #0,1: 74:[65, 39, 9] Operation: 54-45=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[65, 39, 9], Operations: ['54-45=9']
Exploring Operation: 39-9=30, Resulting Numbers: [65, 30]
Generated Node #0,1,0: 74:[65, 30] Operation: 39-9=30
Exploring Operation: 65+9=74, Resulting Numbers: [39, 74]
Generated Node #0,1,1: 74:[39, 74] Operation: 65+9=74
Moving to Node #0,1,1
Current State: 74:[39, 74], Operations: ['54-45=9', '65+9=74']
Exploring Operation: 39+74=113, Resulting Numbers: [113]
113,74 unequal: No Solution
Exploring Operation: 74-39=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[65, 30], Operations: ['54-45=9', '39-9=30']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 65+30=95, Resulting Numbers: [95]
95,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[39, 45, 11], Operations: ['65-54=11']
Exploring Operation: 45-11=34, Resulting Numbers: [39, 34]
Generated Node #0,0,0: 74:[39, 34] Operation: 45-11=34
Exploring Operation: 45-39=6, Resulting Numbers: [11, 6]
Generated Node #0,0,1: 74:[11, 6] Operation: 45-39=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[39, 34], Operations: ['65-54=11', '45-11=34']
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,74 unequal: No Solution
No 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: 74:[11, 6], Operations: ['65-54=11', '45-39=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
16,
53,
36,
83
] | 10 | [
"53-16=37",
"83-36=47",
"47-37=10"
] | Current State: 10:[16, 53, 36, 83], Operations: []
Exploring Operation: 53-16=37, Resulting Numbers: [36, 83, 37]
Generated Node #2: [36, 83, 37] from Operation: 53-16=37
Current State: 10:[36, 83, 37], Operations: ['53-16=37']
Exploring Operation: 83-36=47, Resulting Numbers: [37, 47]
Generated Node #3: [37, 47] from Operation: 83-36=47
Current State: 10:[37, 47], Operations: ['53-16=37', '83-36=47']
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[16, 53, 36, 83], Operations: []
Exploring Operation: 53-36=17, Resulting Numbers: [16, 83, 17]
Generated Node #0,0: 10:[16, 83, 17] Operation: 53-36=17
Exploring Operation: 53-16=37, Resulting Numbers: [36, 83, 37]
Generated Node #0,1: 10:[36, 83, 37] Operation: 53-16=37
Exploring Operation: 83-53=30, Resulting Numbers: [16, 36, 30]
Generated Node #0,2: 10:[16, 36, 30] Operation: 83-53=30
Exploring Operation: 83-36=47, Resulting Numbers: [16, 53, 47]
Generated Node #0,3: 10:[16, 53, 47] Operation: 83-36=47
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[16, 36, 30], Operations: ['83-53=30']
Exploring Operation: 36-16=20, Resulting Numbers: [30, 20]
Generated Node #0,2,0: 10:[30, 20] Operation: 36-16=20
Exploring Operation: 16+36=52, Resulting Numbers: [30, 52]
Generated Node #0,2,1: 10:[30, 52] Operation: 16+36=52
Exploring Operation: 30-16=14, Resulting Numbers: [36, 14]
Generated Node #0,2,2: 10:[36, 14] Operation: 30-16=14
Exploring Operation: 36-30=6, Resulting Numbers: [16, 6]
Generated Node #0,2,3: 10:[16, 6] Operation: 36-30=6
Moving to Node #0,2,3
Current State: 10:[16, 6], Operations: ['83-53=30', '36-30=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,10 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[16, 53, 36, 83], Operations: []
Exploring Operation: 83-53=30, Resulting Numbers: [16, 36, 30]
Generated Node #0,2: 10:[16, 36, 30] Operation: 83-53=30
Moving to Node #0,2
Current State: 10:[16, 36, 30], Operations: ['83-53=30']
Exploring Operation: 36-30=6, Resulting Numbers: [16, 6]
Generated Node #0,2,3: 10:[16, 6] Operation: 36-30=6
Moving to Node #0,2,3
Current State: 10:[16, 6], Operations: ['83-53=30', '36-30=6']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
32,
84,
74,
36
] | 58 | [
"84-32=52",
"74+36=110",
"110-52=58"
] | Current State: 58:[32, 84, 74, 36], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [74, 36, 52]
Generated Node #2: [74, 36, 52] from Operation: 84-32=52
Current State: 58:[74, 36, 52], Operations: ['84-32=52']
Exploring Operation: 74+36=110, Resulting Numbers: [52, 110]
Generated Node #3: [52, 110] from Operation: 74+36=110
Current State: 58:[52, 110], Operations: ['84-32=52', '74+36=110']
Exploring Operation: 110-52=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[32, 84, 74, 36], Operations: []
Exploring Operation: 84-74=10, Resulting Numbers: [32, 36, 10]
Generated Node #0,0: 58:[32, 36, 10] Operation: 84-74=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[32, 36, 10], Operations: ['84-74=10']
Exploring Operation: 36-10=26, Resulting Numbers: [32, 26]
Generated Node #0,0,0: 58:[32, 26] Operation: 36-10=26
Moving to Node #0,0,0
Current State: 58:[32, 26], Operations: ['84-74=10', '36-10=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[32, 84, 74, 36], Operations: []
Exploring Operation: 84-74=10, Resulting Numbers: [32, 36, 10]
Generated Node #0,0: 58:[32, 36, 10] Operation: 84-74=10
Moving to Node #0,0
Current State: 58:[32, 36, 10], Operations: ['84-74=10']
Exploring Operation: 36-10=26, Resulting Numbers: [32, 26]
Generated Node #0,0,0: 58:[32, 26] Operation: 36-10=26
Moving to Node #0,0,0
Current State: 58:[32, 26], Operations: ['84-74=10', '36-10=26']
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
4,
7,
13,
78
] | 19 | [
"4*13=52",
"78-7=71",
"71-52=19"
] | Current State: 19:[4, 7, 13, 78], Operations: []
Exploring Operation: 4*13=52, Resulting Numbers: [7, 78, 52]
Generated Node #2: [7, 78, 52] from Operation: 4*13=52
Current State: 19:[7, 78, 52], Operations: ['4*13=52']
Exploring Operation: 78-7=71, Resulting Numbers: [52, 71]
Generated Node #3: [52, 71] from Operation: 78-7=71
Current State: 19:[52, 71], Operations: ['4*13=52', '78-7=71']
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[4, 7, 13, 78], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [4, 7, 6]
Generated Node #0,0: 19:[4, 7, 6] Operation: 78/13=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[4, 7, 6], Operations: ['78/13=6']
Exploring Operation: 4*6=24, Resulting Numbers: [7, 24]
Generated Node #0,0,0: 19:[7, 24] Operation: 4*6=24
Moving to Node #0,0,0
Current State: 19:[7, 24], Operations: ['78/13=6', '4*6=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,19 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 |
[
18,
58,
74,
55
] | 57 | [
"18+58=76",
"74-55=19",
"76-19=57"
] | Current State: 57:[18, 58, 74, 55], Operations: []
Exploring Operation: 18+58=76, Resulting Numbers: [74, 55, 76]
Generated Node #2: [74, 55, 76] from Operation: 18+58=76
Current State: 57:[74, 55, 76], Operations: ['18+58=76']
Exploring Operation: 74-55=19, Resulting Numbers: [76, 19]
Generated Node #3: [76, 19] from Operation: 74-55=19
Current State: 57:[76, 19], Operations: ['18+58=76', '74-55=19']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[18, 58, 74, 55], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [18, 58, 19]
Generated Node #0,0: 57:[18, 58, 19] Operation: 74-55=19
Exploring Operation: 74-18=56, Resulting Numbers: [58, 55, 56]
Generated Node #0,1: 57:[58, 55, 56] Operation: 74-18=56
Exploring Operation: 74-58=16, Resulting Numbers: [18, 55, 16]
Generated Node #0,2: 57:[18, 55, 16] Operation: 74-58=16
Moving to Node #0,0
Current State: 57:[18, 58, 19], Operations: ['74-55=19']
Exploring Operation: 18+58=76, Resulting Numbers: [19, 76]
Generated Node #0,0,0: 57:[19, 76] Operation: 18+58=76
Exploring Operation: 58-18=40, Resulting Numbers: [19, 40]
Generated Node #0,0,1: 57:[19, 40] Operation: 58-18=40
Exploring Operation: 19-18=1, Resulting Numbers: [58, 1]
Generated Node #0,0,2: 57:[58, 1] Operation: 19-18=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 57:[58, 1], Operations: ['74-55=19', '19-18=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[18, 58, 74, 55], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [18, 58, 19]
Generated Node #0,0: 57:[18, 58, 19] Operation: 74-55=19
Moving to Node #0,0
Current State: 57:[18, 58, 19], Operations: ['74-55=19']
Exploring Operation: 19-18=1, Resulting Numbers: [58, 1]
Generated Node #0,0,2: 57:[58, 1] Operation: 19-18=1
Moving to Node #0,0,2
Current State: 57:[58, 1], Operations: ['74-55=19', '19-18=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
18,
16,
28,
7
] | 38 | [
"18+16=34",
"28/7=4",
"34+4=38"
] | Current State: 38:[18, 16, 28, 7], Operations: []
Exploring Operation: 18+16=34, Resulting Numbers: [28, 7, 34]
Generated Node #2: [28, 7, 34] from Operation: 18+16=34
Current State: 38:[28, 7, 34], Operations: ['18+16=34']
Exploring Operation: 28/7=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 28/7=4
Current State: 38:[34, 4], Operations: ['18+16=34', '28/7=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[18, 16, 28, 7], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [18, 16, 4]
Generated Node #0,0: 38:[18, 16, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [18, 16, 21]
Generated Node #0,1: 38:[18, 16, 21] Operation: 28-7=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[18, 16, 4], Operations: ['28/7=4']
Exploring Operation: 16+4=20, Resulting Numbers: [18, 20]
Generated Node #0,0,0: 38:[18, 20] Operation: 16+4=20
Exploring Operation: 18-16=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 38:[4, 2] Operation: 18-16=2
Moving to Node #0,0,0
Current State: 38:[18, 20], Operations: ['28/7=4', '16+4=20']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[18, 16, 28, 7], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [18, 16, 4]
Generated Node #0,0: 38:[18, 16, 4] Operation: 28/7=4
Moving to Node #0,0
Current State: 38:[18, 16, 4], Operations: ['28/7=4']
Exploring Operation: 16+4=20, Resulting Numbers: [18, 20]
Generated Node #0,0,0: 38:[18, 20] Operation: 16+4=20
Moving to Node #0,0,0
Current State: 38:[18, 20], Operations: ['28/7=4', '16+4=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
42,
85,
21,
42
] | 89 | [
"42+42=84",
"84/21=4",
"85+4=89"
] | Current State: 89:[42, 85, 21, 42], Operations: []
Exploring Operation: 42+42=84, Resulting Numbers: [85, 21, 84]
Generated Node #2: [85, 21, 84] from Operation: 42+42=84
Current State: 89:[85, 21, 84], Operations: ['42+42=84']
Exploring Operation: 84/21=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 84/21=4
Current State: 89:[85, 4], Operations: ['42+42=84', '84/21=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[42, 85, 21, 42], Operations: []
Exploring Operation: 42+21=63, Resulting Numbers: [85, 42, 63]
Generated Node #0,0: 89:[85, 42, 63] Operation: 42+21=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[85, 42, 63], Operations: ['42+21=63']
Exploring Operation: 42+63=105, Resulting Numbers: [85, 105]
Generated Node #0,0,0: 89:[85, 105] Operation: 42+63=105
Moving to Node #0,0,0
Current State: 89:[85, 105], Operations: ['42+21=63', '42+63=105']
Exploring Operation: 105-85=20, Resulting Numbers: [20]
20,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
84,
67,
47,
87
] | 23 | [
"84-67=17",
"87-47=40",
"40-17=23"
] | Current State: 23:[84, 67, 47, 87], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [47, 87, 17]
Generated Node #2: [47, 87, 17] from Operation: 84-67=17
Current State: 23:[47, 87, 17], Operations: ['84-67=17']
Exploring Operation: 87-47=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 87-47=40
Current State: 23:[17, 40], Operations: ['84-67=17', '87-47=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[84, 67, 47, 87], Operations: []
Exploring Operation: 87-67=20, Resulting Numbers: [84, 47, 20]
Generated Node #0,0: 23:[84, 47, 20] Operation: 87-67=20
Exploring Operation: 87-84=3, Resulting Numbers: [67, 47, 3]
Generated Node #0,1: 23:[67, 47, 3] Operation: 87-84=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[84, 47, 20], Operations: ['87-67=20']
Exploring Operation: 84-20=64, Resulting Numbers: [47, 64]
Generated Node #0,0,0: 23:[47, 64] Operation: 84-20=64
Exploring Operation: 84-47=37, Resulting Numbers: [20, 37]
Generated Node #0,0,1: 23:[20, 37] Operation: 84-47=37
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[20, 37], Operations: ['87-67=20', '84-47=37']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,23 unequal: No Solution
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,23 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 #0,0,0
Current State: 23:[47, 64], Operations: ['87-67=20', '84-20=64']
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,23 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,23 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: 23:[67, 47, 3], Operations: ['87-84=3']
Exploring Operation: 67-47=20, Resulting Numbers: [3, 20]
Generated Node #0,1,0: 23:[3, 20] Operation: 67-47=20
Exploring Operation: 67-3=64, Resulting Numbers: [47, 64]
Generated Node #0,1,1: 23:[47, 64] Operation: 67-3=64
Moving to Node #0,1,0
Current State: 23:[3, 20], Operations: ['87-84=3', '67-47=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[84, 67, 47, 87], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [67, 47, 3]
Generated Node #0,1: 23:[67, 47, 3] Operation: 87-84=3
Moving to Node #0,1
Current State: 23:[67, 47, 3], Operations: ['87-84=3']
Exploring Operation: 67-47=20, Resulting Numbers: [3, 20]
Generated Node #0,1,0: 23:[3, 20] Operation: 67-47=20
Moving to Node #0,1,0
Current State: 23:[3, 20], Operations: ['87-84=3', '67-47=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
86,
62,
30,
55
] | 49 | [
"86-62=24",
"55-30=25",
"24+25=49"
] | Current State: 49:[86, 62, 30, 55], Operations: []
Exploring Operation: 86-62=24, Resulting Numbers: [30, 55, 24]
Generated Node #2: [30, 55, 24] from Operation: 86-62=24
Current State: 49:[30, 55, 24], Operations: ['86-62=24']
Exploring Operation: 55-30=25, Resulting Numbers: [24, 25]
Generated Node #3: [24, 25] from Operation: 55-30=25
Current State: 49:[24, 25], Operations: ['86-62=24', '55-30=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[86, 62, 30, 55], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [62, 55, 56]
Generated Node #0,0: 49:[62, 55, 56] Operation: 86-30=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[62, 55, 56], Operations: ['86-30=56']
Exploring Operation: 62-55=7, Resulting Numbers: [56, 7]
Generated Node #0,0,0: 49:[56, 7] Operation: 62-55=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[56, 7], Operations: ['86-30=56', '62-55=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[86, 62, 30, 55], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [62, 55, 56]
Generated Node #0,0: 49:[62, 55, 56] Operation: 86-30=56
Moving to Node #0,0
Current State: 49:[62, 55, 56], Operations: ['86-30=56']
Exploring Operation: 62-55=7, Resulting Numbers: [56, 7]
Generated Node #0,0,0: 49:[56, 7] Operation: 62-55=7
Moving to Node #0,0,0
Current State: 49:[56, 7], Operations: ['86-30=56', '62-55=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
81,
97,
57,
24
] | 97 | [
"81+97=178",
"57+24=81",
"178-81=97"
] | Current State: 97:[81, 97, 57, 24], Operations: []
Exploring Operation: 81+97=178, Resulting Numbers: [57, 24, 178]
Generated Node #2: [57, 24, 178] from Operation: 81+97=178
Current State: 97:[57, 24, 178], Operations: ['81+97=178']
Exploring Operation: 57+24=81, Resulting Numbers: [178, 81]
Generated Node #3: [178, 81] from Operation: 57+24=81
Current State: 97:[178, 81], Operations: ['81+97=178', '57+24=81']
Exploring Operation: 178-81=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[81, 97, 57, 24], Operations: []
Exploring Operation: 57+24=81, Resulting Numbers: [81, 97, 81]
Generated Node #0,0: 97:[81, 97, 81] Operation: 57+24=81
Moving to Node #0,0
Current State: 97:[81, 97, 81], Operations: ['57+24=81']
Exploring Operation: 81+81=162, Resulting Numbers: [97, 162]
Generated Node #0,0,0: 97:[97, 162] Operation: 81+81=162
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[97, 162], Operations: ['57+24=81', '81+81=162']
Exploring Operation: 162-97=65, Resulting Numbers: [65]
65,97 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 |
[
35,
59,
70,
31
] | 15 | [
"59-35=24",
"70-31=39",
"39-24=15"
] | Current State: 15:[35, 59, 70, 31], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [70, 31, 24]
Generated Node #2: [70, 31, 24] from Operation: 59-35=24
Current State: 15:[70, 31, 24], Operations: ['59-35=24']
Exploring Operation: 70-31=39, Resulting Numbers: [24, 39]
Generated Node #3: [24, 39] from Operation: 70-31=39
Current State: 15:[24, 39], Operations: ['59-35=24', '70-31=39']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[35, 59, 70, 31], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [35, 31, 11]
Generated Node #0,0: 15:[35, 31, 11] Operation: 70-59=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[35, 31, 11], Operations: ['70-59=11']
Exploring Operation: 35-31=4, Resulting Numbers: [11, 4]
Generated Node #0,0,0: 15:[11, 4] Operation: 35-31=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[11, 4], Operations: ['70-59=11', '35-31=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[35, 59, 70, 31], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [35, 31, 11]
Generated Node #0,0: 15:[35, 31, 11] Operation: 70-59=11
Moving to Node #0,0
Current State: 15:[35, 31, 11], Operations: ['70-59=11']
Exploring Operation: 35-31=4, Resulting Numbers: [11, 4]
Generated Node #0,0,0: 15:[11, 4] Operation: 35-31=4
Moving to Node #0,0,0
Current State: 15:[11, 4], Operations: ['70-59=11', '35-31=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
40,
31,
16,
18
] | 18 | [
"40-31=9",
"18-16=2",
"9*2=18"
] | Current State: 18:[40, 31, 16, 18], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [16, 18, 9]
Generated Node #2: [16, 18, 9] from Operation: 40-31=9
Current State: 18:[16, 18, 9], Operations: ['40-31=9']
Exploring Operation: 18-16=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 18-16=2
Current State: 18:[9, 2], Operations: ['40-31=9', '18-16=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[40, 31, 16, 18], Operations: []
Exploring Operation: 40-16=24, Resulting Numbers: [31, 18, 24]
Generated Node #0,0: 18:[31, 18, 24] Operation: 40-16=24
Exploring Operation: 40-31=9, Resulting Numbers: [16, 18, 9]
Generated Node #0,1: 18:[16, 18, 9] Operation: 40-31=9
Exploring Operation: 40-18=22, Resulting Numbers: [31, 16, 22]
Generated Node #0,2: 18:[31, 16, 22] Operation: 40-18=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[16, 18, 9], Operations: ['40-31=9']
Exploring Operation: 16-9=7, Resulting Numbers: [18, 7]
Generated Node #0,1,0: 18:[18, 7] Operation: 16-9=7
Exploring Operation: 18-9=9, Resulting Numbers: [16, 9]
Generated Node #0,1,1: 18:[16, 9] Operation: 18-9=9
Exploring Operation: 18-16=2, Resulting Numbers: [9, 2]
Generated Node #0,1,2: 18:[9, 2] Operation: 18-16=2
Moving to Node #0,1,2
Current State: 18:[9, 2], Operations: ['40-31=9', '18-16=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,18 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[40, 31, 16, 18], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [16, 18, 9]
Generated Node #0,1: 18:[16, 18, 9] Operation: 40-31=9
Moving to Node #0,1
Current State: 18:[16, 18, 9], Operations: ['40-31=9']
Exploring Operation: 18-16=2, Resulting Numbers: [9, 2]
Generated Node #0,1,2: 18:[9, 2] Operation: 18-16=2
Moving to Node #0,1,2
Current State: 18:[9, 2], Operations: ['40-31=9', '18-16=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
4,
8,
10,
14
] | 16 | [
"4+8=12",
"14-10=4",
"12+4=16"
] | Current State: 16:[4, 8, 10, 14], Operations: []
Exploring Operation: 4+8=12, Resulting Numbers: [10, 14, 12]
Generated Node #2: [10, 14, 12] from Operation: 4+8=12
Current State: 16:[10, 14, 12], Operations: ['4+8=12']
Exploring Operation: 14-10=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 14-10=4
Current State: 16:[12, 4], Operations: ['4+8=12', '14-10=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[4, 8, 10, 14], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [4, 14, 2]
Generated Node #0,0: 16:[4, 14, 2] Operation: 10-8=2
Exploring Operation: 14-10=4, Resulting Numbers: [4, 8, 4]
Generated Node #0,1: 16:[4, 8, 4] Operation: 14-10=4
Exploring Operation: 8-4=4, Resulting Numbers: [10, 14, 4]
Generated Node #0,2: 16:[10, 14, 4] Operation: 8-4=4
Moving to Node #0,1
Current State: 16:[4, 8, 4], Operations: ['14-10=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8, 8]
Generated Node #0,1,0: 16:[8, 8] Operation: 4+4=8
Exploring Operation: 8-4=4, Resulting Numbers: [4, 4]
Generated Node #0,1,1: 16:[4, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 16:[4, 2] Operation: 8/4=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[8, 8], Operations: ['14-10=4', '4+4=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[4, 8, 10, 14], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [4, 8, 4]
Generated Node #0,1: 16:[4, 8, 4] Operation: 14-10=4
Moving to Node #0,1
Current State: 16:[4, 8, 4], Operations: ['14-10=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8, 8]
Generated Node #0,1,0: 16:[8, 8] Operation: 4+4=8
Moving to Node #0,1,0
Current State: 16:[8, 8], Operations: ['14-10=4', '4+4=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
45,
85,
2,
9
] | 29 | [
"85-45=40",
"2+9=11",
"40-11=29"
] | Current State: 29:[45, 85, 2, 9], Operations: []
Exploring Operation: 85-45=40, Resulting Numbers: [2, 9, 40]
Generated Node #2: [2, 9, 40] from Operation: 85-45=40
Current State: 29:[2, 9, 40], Operations: ['85-45=40']
Exploring Operation: 2+9=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 2+9=11
Current State: 29:[40, 11], Operations: ['85-45=40', '2+9=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[45, 85, 2, 9], Operations: []
Exploring Operation: 45-2=43, Resulting Numbers: [85, 9, 43]
Generated Node #0,0: 29:[85, 9, 43] Operation: 45-2=43
Exploring Operation: 2*9=18, Resulting Numbers: [45, 85, 18]
Generated Node #0,1: 29:[45, 85, 18] Operation: 2*9=18
Exploring Operation: 85-45=40, Resulting Numbers: [2, 9, 40]
Generated Node #0,2: 29:[2, 9, 40] Operation: 85-45=40
Exploring Operation: 45-9=36, Resulting Numbers: [85, 2, 36]
Generated Node #0,3: 29:[85, 2, 36] Operation: 45-9=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[2, 9, 40], Operations: ['85-45=40']
Exploring Operation: 40/2=20, Resulting Numbers: [9, 20]
Generated Node #0,2,0: 29:[9, 20] Operation: 40/2=20
Exploring Operation: 2*9=18, Resulting Numbers: [40, 18]
Generated Node #0,2,1: 29:[40, 18] Operation: 2*9=18
Exploring Operation: 2+9=11, Resulting Numbers: [40, 11]
Generated Node #0,2,2: 29:[40, 11] Operation: 2+9=11
Exploring Operation: 40-2=38, Resulting Numbers: [9, 38]
Generated Node #0,2,3: 29:[9, 38] Operation: 40-2=38
Moving to Node #0,2,1
Current State: 29:[40, 18], Operations: ['85-45=40', '2*9=18']
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 40*18=720, Resulting Numbers: [720]
720,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[40, 11], Operations: ['85-45=40', '2+9=11']
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[45, 85, 2, 9], Operations: []
Exploring Operation: 85-45=40, Resulting Numbers: [2, 9, 40]
Generated Node #0,2: 29:[2, 9, 40] Operation: 85-45=40
Moving to Node #0,2
Current State: 29:[2, 9, 40], Operations: ['85-45=40']
Exploring Operation: 2+9=11, Resulting Numbers: [40, 11]
Generated Node #0,2,2: 29:[40, 11] Operation: 2+9=11
Moving to Node #0,2,2
Current State: 29:[40, 11], Operations: ['85-45=40', '2+9=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
68,
87,
59,
65
] | 25 | [
"87-68=19",
"65-59=6",
"19+6=25"
] | Current State: 25:[68, 87, 59, 65], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [59, 65, 19]
Generated Node #2: [59, 65, 19] from Operation: 87-68=19
Current State: 25:[59, 65, 19], Operations: ['87-68=19']
Exploring Operation: 65-59=6, Resulting Numbers: [19, 6]
Generated Node #3: [19, 6] from Operation: 65-59=6
Current State: 25:[19, 6], Operations: ['87-68=19', '65-59=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[68, 87, 59, 65], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [87, 65, 9]
Generated Node #0,0: 25:[87, 65, 9] Operation: 68-59=9
Exploring Operation: 87-68=19, Resulting Numbers: [59, 65, 19]
Generated Node #0,1: 25:[59, 65, 19] Operation: 87-68=19
Exploring Operation: 68-65=3, Resulting Numbers: [87, 59, 3]
Generated Node #0,2: 25:[87, 59, 3] Operation: 68-65=3
Exploring Operation: 87-59=28, Resulting Numbers: [68, 65, 28]
Generated Node #0,3: 25:[68, 65, 28] Operation: 87-59=28
Exploring Operation: 87-65=22, Resulting Numbers: [68, 59, 22]
Generated Node #0,4: 25:[68, 59, 22] Operation: 87-65=22
Moving to Node #0,1
Current State: 25:[59, 65, 19], Operations: ['87-68=19']
Exploring Operation: 59-19=40, Resulting Numbers: [65, 40]
Generated Node #0,1,0: 25:[65, 40] Operation: 59-19=40
Exploring Operation: 65+19=84, Resulting Numbers: [59, 84]
Generated Node #0,1,1: 25:[59, 84] Operation: 65+19=84
Exploring Operation: 65-59=6, Resulting Numbers: [19, 6]
Generated Node #0,1,2: 25:[19, 6] Operation: 65-59=6
Exploring Operation: 65-19=46, Resulting Numbers: [59, 46]
Generated Node #0,1,3: 25:[59, 46] Operation: 65-19=46
Exploring Operation: 59+19=78, Resulting Numbers: [65, 78]
Generated Node #0,1,4: 25:[65, 78] Operation: 59+19=78
Moving to Node #0,4
Current State: 25:[68, 59, 22], Operations: ['87-65=22']
Exploring Operation: 59-22=37, Resulting Numbers: [68, 37]
Generated Node #0,4,0: 25:[68, 37] Operation: 59-22=37
Exploring Operation: 68+22=90, Resulting Numbers: [59, 90]
Generated Node #0,4,1: 25:[59, 90] Operation: 68+22=90
Exploring Operation: 68-59=9, Resulting Numbers: [22, 9]
Generated Node #0,4,2: 25:[22, 9] Operation: 68-59=9
Exploring Operation: 68-22=46, Resulting Numbers: [59, 46]
Generated Node #0,4,3: 25:[59, 46] Operation: 68-22=46
Exploring Operation: 59+22=81, Resulting Numbers: [68, 81]
Generated Node #0,4,4: 25:[68, 81] Operation: 59+22=81
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 25:[22, 9], Operations: ['87-65=22', '68-59=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,25 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 25:[68, 37], Operations: ['87-65=22', '59-22=37']
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,25 unequal: No Solution
Exploring Operation: 68*37=2516, Resulting Numbers: [2516]
2516,25 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 25:[59, 46], Operations: ['87-65=22', '68-22=46']
Exploring Operation: 59+46=105, Resulting Numbers: [105]
105,25 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 59*46=2714, Resulting Numbers: [2714]
2714,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 25:[59, 90], Operations: ['87-65=22', '68+22=90']
Exploring Operation: 59*90=5310, Resulting Numbers: [5310]
5310,25 unequal: No Solution
Exploring Operation: 59+90=149, Resulting Numbers: [149]
149,25 unequal: No Solution
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 25:[68, 81], Operations: ['87-65=22', '59+22=81']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 68*81=5508, Resulting Numbers: [5508]
5508,25 unequal: No Solution
Exploring Operation: 68+81=149, Resulting Numbers: [149]
149,25 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: 25:[68, 65, 28], Operations: ['87-59=28']
Exploring Operation: 68-28=40, Resulting Numbers: [65, 40]
Generated Node #0,3,0: 25:[65, 40] Operation: 68-28=40
Exploring Operation: 68+65=133, Resulting Numbers: [28, 133]
Generated Node #0,3,1: 25:[28, 133] Operation: 68+65=133
Exploring Operation: 65-28=37, Resulting Numbers: [68, 37]
Generated Node #0,3,2: 25:[68, 37] Operation: 65-28=37
Exploring Operation: 68+28=96, Resulting Numbers: [65, 96]
Generated Node #0,3,3: 25:[65, 96] Operation: 68+28=96
Exploring Operation: 68-65=3, Resulting Numbers: [28, 3]
Generated Node #0,3,4: 25:[28, 3] Operation: 68-65=3
Moving to Node #0,2
Current State: 25:[87, 59, 3], Operations: ['68-65=3']
Exploring Operation: 87+3=90, Resulting Numbers: [59, 90]
Generated Node #0,2,0: 25:[59, 90] Operation: 87+3=90
Exploring Operation: 59-3=56, Resulting Numbers: [87, 56]
Generated Node #0,2,1: 25:[87, 56] Operation: 59-3=56
Exploring Operation: 87/3=29, Resulting Numbers: [59, 29]
Generated Node #0,2,2: 25:[59, 29] Operation: 87/3=29
Exploring Operation: 87-3=84, Resulting Numbers: [59, 84]
Generated Node #0,2,3: 25:[59, 84] Operation: 87-3=84
Exploring Operation: 87-59=28, Resulting Numbers: [3, 28]
Generated Node #0,2,4: 25:[3, 28] Operation: 87-59=28
Moving to Node #0,0
Current State: 25:[87, 65, 9], Operations: ['68-59=9']
Exploring Operation: 87-65=22, Resulting Numbers: [9, 22]
Generated Node #0,0,0: 25:[9, 22] Operation: 87-65=22
Exploring Operation: 87+9=96, Resulting Numbers: [65, 96]
Generated Node #0,0,1: 25:[65, 96] Operation: 87+9=96
Exploring Operation: 65-9=56, Resulting Numbers: [87, 56]
Generated Node #0,0,2: 25:[87, 56] Operation: 65-9=56
Exploring Operation: 87-9=78, Resulting Numbers: [65, 78]
Generated Node #0,0,3: 25:[65, 78] Operation: 87-9=78
Exploring Operation: 65+9=74, Resulting Numbers: [87, 74]
Generated Node #0,0,4: 25:[87, 74] Operation: 65+9=74
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[9, 22], Operations: ['68-59=9', '87-65=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,25 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[87, 56], Operations: ['68-59=9', '65-9=56']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 87+56=143, Resulting Numbers: [143]
143,25 unequal: No Solution
Exploring Operation: 87*56=4872, Resulting Numbers: [4872]
4872,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[65, 78], Operations: ['68-59=9', '87-9=78']
Exploring Operation: 65+78=143, Resulting Numbers: [143]
143,25 unequal: No Solution
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 65*78=5070, Resulting Numbers: [5070]
5070,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[65, 96], Operations: ['68-59=9', '87+9=96']
Exploring Operation: 65*96=6240, Resulting Numbers: [6240]
6240,25 unequal: No Solution
Exploring Operation: 65+96=161, Resulting Numbers: [161]
161,25 unequal: No Solution
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 25:[87, 74], Operations: ['68-59=9', '65+9=74']
Exploring Operation: 87+74=161, Resulting Numbers: [161]
161,25 unequal: No Solution
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 87*74=6438, Resulting Numbers: [6438]
6438,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 25:[28, 3], Operations: ['87-59=28', '68-65=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[68, 87, 59, 65], Operations: []
Exploring Operation: 87-59=28, Resulting Numbers: [68, 65, 28]
Generated Node #0,3: 25:[68, 65, 28] Operation: 87-59=28
Moving to Node #0,3
Current State: 25:[68, 65, 28], Operations: ['87-59=28']
Exploring Operation: 68-65=3, Resulting Numbers: [28, 3]
Generated Node #0,3,4: 25:[28, 3] Operation: 68-65=3
Moving to Node #0,3,4
Current State: 25:[28, 3], Operations: ['87-59=28', '68-65=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.94184 | hs_5 | mult_heuristic |
[
45,
15,
16,
93
] | 48 | [
"45*15=675",
"93+675=768",
"768/16=48"
] | Current State: 48:[45, 15, 16, 93], Operations: []
Exploring Operation: 45*15=675, Resulting Numbers: [16, 93, 675]
Generated Node #2: [16, 93, 675] from Operation: 45*15=675
Current State: 48:[16, 93, 675], Operations: ['45*15=675']
Exploring Operation: 93+675=768, Resulting Numbers: [16, 768]
Generated Node #3: [16, 768] from Operation: 93+675=768
Current State: 48:[16, 768], Operations: ['45*15=675', '93+675=768']
Exploring Operation: 768/16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[45, 15, 16, 93], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [15, 16, 48]
Generated Node #0,0: 48:[15, 16, 48] Operation: 93-45=48
Exploring Operation: 93-15=78, Resulting Numbers: [45, 16, 78]
Generated Node #0,1: 48:[45, 16, 78] Operation: 93-15=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[15, 16, 48], Operations: ['93-45=48']
Exploring Operation: 16-15=1, Resulting Numbers: [48, 1]
Generated Node #0,0,0: 48:[48, 1] Operation: 16-15=1
Exploring Operation: 48/16=3, Resulting Numbers: [15, 3]
Generated Node #0,0,1: 48:[15, 3] Operation: 48/16=3
Moving to Node #0,0,0
Current State: 48:[48, 1], Operations: ['93-45=48', '16-15=1']
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[45, 15, 16, 93], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [15, 16, 48]
Generated Node #0,0: 48:[15, 16, 48] Operation: 93-45=48
Moving to Node #0,0
Current State: 48:[15, 16, 48], Operations: ['93-45=48']
Exploring Operation: 16-15=1, Resulting Numbers: [48, 1]
Generated Node #0,0,0: 48:[48, 1] Operation: 16-15=1
Moving to Node #0,0,0
Current State: 48:[48, 1], Operations: ['93-45=48', '16-15=1']
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
60,
59,
4,
43
] | 38 | [
"60-59=1",
"43-4=39",
"39-1=38"
] | Current State: 38:[60, 59, 4, 43], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [4, 43, 1]
Generated Node #2: [4, 43, 1] from Operation: 60-59=1
Current State: 38:[4, 43, 1], Operations: ['60-59=1']
Exploring Operation: 43-4=39, Resulting Numbers: [1, 39]
Generated Node #3: [1, 39] from Operation: 43-4=39
Current State: 38:[1, 39], Operations: ['60-59=1', '43-4=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[60, 59, 4, 43], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [4, 43, 1]
Generated Node #0,0: 38:[4, 43, 1] Operation: 60-59=1
Exploring Operation: 59-43=16, Resulting Numbers: [60, 4, 16]
Generated Node #0,1: 38:[60, 4, 16] Operation: 59-43=16
Exploring Operation: 60-43=17, Resulting Numbers: [59, 4, 17]
Generated Node #0,2: 38:[59, 4, 17] Operation: 60-43=17
Moving to Node #0,0
Current State: 38:[4, 43, 1], Operations: ['60-59=1']
Exploring Operation: 4-1=3, Resulting Numbers: [43, 3]
Generated Node #0,0,0: 38:[43, 3] Operation: 4-1=3
Exploring Operation: 43-1=42, Resulting Numbers: [4, 42]
Generated Node #0,0,1: 38:[4, 42] Operation: 43-1=42
Exploring Operation: 43-4=39, Resulting Numbers: [1, 39]
Generated Node #0,0,2: 38:[1, 39] Operation: 43-4=39
Moving to Node #0,2
Current State: 38:[59, 4, 17], Operations: ['60-43=17']
Exploring Operation: 4+17=21, Resulting Numbers: [59, 21]
Generated Node #0,2,0: 38:[59, 21] Operation: 4+17=21
Exploring Operation: 59-17=42, Resulting Numbers: [4, 42]
Generated Node #0,2,1: 38:[4, 42] Operation: 59-17=42
Exploring Operation: 59-4=55, Resulting Numbers: [17, 55]
Generated Node #0,2,2: 38:[17, 55] Operation: 59-4=55
Moving to Node #0,1
Current State: 38:[60, 4, 16], Operations: ['59-43=16']
Exploring Operation: 60-4=56, Resulting Numbers: [16, 56]
Generated Node #0,1,0: 38:[16, 56] Operation: 60-4=56
Exploring Operation: 60/4=15, Resulting Numbers: [16, 15]
Generated Node #0,1,1: 38:[16, 15] Operation: 60/4=15
Exploring Operation: 60-16=44, Resulting Numbers: [4, 44]
Generated Node #0,1,2: 38:[4, 44] Operation: 60-16=44
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[16, 15], Operations: ['59-43=16', '60/4=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 38:[4, 44], Operations: ['59-43=16', '60-16=44']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[16, 56], Operations: ['59-43=16', '60-4=56']
Exploring Operation: 16*56=896, Resulting Numbers: [896]
896,38 unequal: No Solution
Exploring Operation: 16+56=72, Resulting Numbers: [72]
72,38 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 38:[1, 39], Operations: ['60-59=1', '43-4=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[60, 59, 4, 43], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [4, 43, 1]
Generated Node #0,0: 38:[4, 43, 1] Operation: 60-59=1
Moving to Node #0,0
Current State: 38:[4, 43, 1], Operations: ['60-59=1']
Exploring Operation: 43-4=39, Resulting Numbers: [1, 39]
Generated Node #0,0,2: 38:[1, 39] Operation: 43-4=39
Moving to Node #0,0,2
Current State: 38:[1, 39], Operations: ['60-59=1', '43-4=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
16,
38,
59,
76
] | 27 | [
"16*76=1216",
"1216/38=32",
"59-32=27"
] | Current State: 27:[16, 38, 59, 76], Operations: []
Exploring Operation: 16*76=1216, Resulting Numbers: [38, 59, 1216]
Generated Node #2: [38, 59, 1216] from Operation: 16*76=1216
Current State: 27:[38, 59, 1216], Operations: ['16*76=1216']
Exploring Operation: 1216/38=32, Resulting Numbers: [59, 32]
Generated Node #3: [59, 32] from Operation: 1216/38=32
Current State: 27:[59, 32], Operations: ['16*76=1216', '1216/38=32']
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[16, 38, 59, 76], Operations: []
Exploring Operation: 76-59=17, Resulting Numbers: [16, 38, 17]
Generated Node #0,0: 27:[16, 38, 17] Operation: 76-59=17
Exploring Operation: 76-38=38, Resulting Numbers: [16, 59, 38]
Generated Node #0,1: 27:[16, 59, 38] Operation: 76-38=38
Exploring Operation: 59-16=43, Resulting Numbers: [38, 76, 43]
Generated Node #0,2: 27:[38, 76, 43] Operation: 59-16=43
Exploring Operation: 76/38=2, Resulting Numbers: [16, 59, 2]
Generated Node #0,3: 27:[16, 59, 2] Operation: 76/38=2
Exploring Operation: 59-38=21, Resulting Numbers: [16, 76, 21]
Generated Node #0,4: 27:[16, 76, 21] Operation: 59-38=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[16, 38, 17], Operations: ['76-59=17']
Exploring Operation: 16+17=33, Resulting Numbers: [38, 33]
Generated Node #0,0,0: 27:[38, 33] Operation: 16+17=33
Exploring Operation: 17-16=1, Resulting Numbers: [38, 1]
Generated Node #0,0,1: 27:[38, 1] Operation: 17-16=1
Exploring Operation: 38-17=21, Resulting Numbers: [16, 21]
Generated Node #0,0,2: 27:[16, 21] Operation: 38-17=21
Exploring Operation: 16+38=54, Resulting Numbers: [17, 54]
Generated Node #0,0,3: 27:[17, 54] Operation: 16+38=54
Exploring Operation: 38-16=22, Resulting Numbers: [17, 22]
Generated Node #0,0,4: 27:[17, 22] Operation: 38-16=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 27:[38, 1], Operations: ['76-59=17', '17-16=1']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 27:[16, 21], Operations: ['76-59=17', '38-17=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,27 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 27:[17, 22], Operations: ['76-59=17', '38-16=22']
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,27 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[38, 33], Operations: ['76-59=17', '16+17=33']
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 38*33=1254, Resulting Numbers: [1254]
1254,27 unequal: No Solution
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 27:[17, 54], Operations: ['76-59=17', '16+38=54']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 17*54=918, Resulting Numbers: [918]
918,27 unequal: No Solution
Exploring Operation: 17+54=71, Resulting Numbers: [71]
71,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[16, 59, 2], Operations: ['76/38=2']
Exploring Operation: 16/2=8, Resulting Numbers: [59, 8]
Generated Node #0,3,0: 27:[59, 8] Operation: 16/2=8
Exploring Operation: 59-2=57, Resulting Numbers: [16, 57]
Generated Node #0,3,1: 27:[16, 57] Operation: 59-2=57
Exploring Operation: 16-2=14, Resulting Numbers: [59, 14]
Generated Node #0,3,2: 27:[59, 14] Operation: 16-2=14
Exploring Operation: 59-16=43, Resulting Numbers: [2, 43]
Generated Node #0,3,3: 27:[2, 43] Operation: 59-16=43
Exploring Operation: 16*2=32, Resulting Numbers: [59, 32]
Generated Node #0,3,4: 27:[59, 32] Operation: 16*2=32
Moving to Node #0,3,3
Current State: 27:[2, 43], Operations: ['76/38=2', '59-16=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,27 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Moving to Node #0,3,0
Current State: 27:[59, 8], Operations: ['76/38=2', '16/2=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,27 unequal: No Solution
Exploring Operation: 59*8=472, Resulting Numbers: [472]
472,27 unequal: No Solution
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Moving to Node #0,3,1
Current State: 27:[16, 57], Operations: ['76/38=2', '59-2=57']
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 16*57=912, Resulting Numbers: [912]
912,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[59, 14], Operations: ['76/38=2', '16-2=14']
Exploring Operation: 59*14=826, Resulting Numbers: [826]
826,27 unequal: No Solution
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,27 unequal: No Solution
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,27 unequal: No Solution
Moving to Node #0,3,4
Current State: 27:[59, 32], Operations: ['76/38=2', '16*2=32']
Exploring Operation: 59+32=91, Resulting Numbers: [91]
91,27 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[16, 38, 59, 76], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [16, 59, 2]
Generated Node #0,3: 27:[16, 59, 2] Operation: 76/38=2
Moving to Node #0,3
Current State: 27:[16, 59, 2], Operations: ['76/38=2']
Exploring Operation: 16*2=32, Resulting Numbers: [59, 32]
Generated Node #0,3,4: 27:[59, 32] Operation: 16*2=32
Moving to Node #0,3,4
Current State: 27:[59, 32], Operations: ['76/38=2', '16*2=32']
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | mult_heuristic |
[
27,
67,
8,
48
] | 95 | [
"27*48=1296",
"1296/8=162",
"162-67=95"
] | Current State: 95:[27, 67, 8, 48], Operations: []
Exploring Operation: 27*48=1296, Resulting Numbers: [67, 8, 1296]
Generated Node #2: [67, 8, 1296] from Operation: 27*48=1296
Current State: 95:[67, 8, 1296], Operations: ['27*48=1296']
Exploring Operation: 1296/8=162, Resulting Numbers: [67, 162]
Generated Node #3: [67, 162] from Operation: 1296/8=162
Current State: 95:[67, 162], Operations: ['27*48=1296', '1296/8=162']
Exploring Operation: 162-67=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[27, 67, 8, 48], Operations: []
Exploring Operation: 67-48=19, Resulting Numbers: [27, 8, 19]
Generated Node #0,0: 95:[27, 8, 19] Operation: 67-48=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[27, 8, 19], Operations: ['67-48=19']
Exploring Operation: 27-8=19, Resulting Numbers: [19, 19]
Generated Node #0,0,0: 95:[19, 19] Operation: 27-8=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[19, 19], Operations: ['67-48=19', '27-8=19']
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
57,
2,
49,
3
] | 80 | [
"49-3=46",
"46/2=23",
"57+23=80"
] | Current State: 80:[57, 2, 49, 3], Operations: []
Exploring Operation: 49-3=46, Resulting Numbers: [57, 2, 46]
Generated Node #2: [57, 2, 46] from Operation: 49-3=46
Current State: 80:[57, 2, 46], Operations: ['49-3=46']
Exploring Operation: 46/2=23, Resulting Numbers: [57, 23]
Generated Node #3: [57, 23] from Operation: 46/2=23
Current State: 80:[57, 23], Operations: ['49-3=46', '46/2=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[57, 2, 49, 3], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [2, 3, 8]
Generated Node #0,0: 80:[2, 3, 8] Operation: 57-49=8
Exploring Operation: 57-3=54, Resulting Numbers: [2, 49, 54]
Generated Node #0,1: 80:[2, 49, 54] Operation: 57-3=54
Exploring Operation: 57/3=19, Resulting Numbers: [2, 49, 19]
Generated Node #0,2: 80:[2, 49, 19] Operation: 57/3=19
Moving to Node #0,0
Current State: 80:[2, 3, 8], Operations: ['57-49=8']
Exploring Operation: 2+3=5, Resulting Numbers: [8, 5]
Generated Node #0,0,0: 80:[8, 5] Operation: 2+3=5
Exploring Operation: 8-3=5, Resulting Numbers: [2, 5]
Generated Node #0,0,1: 80:[2, 5] Operation: 8-3=5
Exploring Operation: 2*3=6, Resulting Numbers: [8, 6]
Generated Node #0,0,2: 80:[8, 6] Operation: 2*3=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[8, 5], Operations: ['57-49=8', '2+3=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[2, 5], Operations: ['57-49=8', '8-3=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[8, 6], Operations: ['57-49=8', '2*3=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 80:[2, 49, 19], Operations: ['57/3=19']
Exploring Operation: 2+19=21, Resulting Numbers: [49, 21]
Generated Node #0,2,0: 80:[49, 21] Operation: 2+19=21
Exploring Operation: 49-2=47, Resulting Numbers: [19, 47]
Generated Node #0,2,1: 80:[19, 47] Operation: 49-2=47
Exploring Operation: 19-2=17, Resulting Numbers: [49, 17]
Generated Node #0,2,2: 80:[49, 17] Operation: 19-2=17
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[19, 47], Operations: ['57/3=19', '49-2=47']
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,80 unequal: No Solution
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,80 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 #0,2,0
Current State: 80:[49, 21], Operations: ['57/3=19', '2+19=21']
Exploring Operation: 49*21=1029, Resulting Numbers: [1029]
1029,80 unequal: No Solution
Exploring Operation: 49+21=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,80 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 #0,2,2
Current State: 80:[49, 17], Operations: ['57/3=19', '19-2=17']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 49*17=833, Resulting Numbers: [833]
833,80 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: 80:[2, 49, 54], Operations: ['57-3=54']
Exploring Operation: 54-49=5, Resulting Numbers: [2, 5]
Generated Node #0,1,0: 80:[2, 5] Operation: 54-49=5
Exploring Operation: 54/2=27, Resulting Numbers: [49, 27]
Generated Node #0,1,1: 80:[49, 27] Operation: 54/2=27
Exploring Operation: 49-2=47, Resulting Numbers: [54, 47]
Generated Node #0,1,2: 80:[54, 47] Operation: 49-2=47
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[2, 5], Operations: ['57-3=54', '54-49=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[49, 27], Operations: ['57-3=54', '54/2=27']
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,80 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[54, 47], Operations: ['57-3=54', '49-2=47']
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,80 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,80 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 |
[
94,
77,
32,
93
] | 45 | [
"94-93=1",
"77-32=45",
"1*45=45"
] | Current State: 45:[94, 77, 32, 93], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [77, 32, 1]
Generated Node #2: [77, 32, 1] from Operation: 94-93=1
Current State: 45:[77, 32, 1], Operations: ['94-93=1']
Exploring Operation: 77-32=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 77-32=45
Current State: 45:[1, 45], Operations: ['94-93=1', '77-32=45']
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[94, 77, 32, 93], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [77, 32, 1]
Generated Node #0,0: 45:[77, 32, 1] Operation: 94-93=1
Exploring Operation: 94-77=17, Resulting Numbers: [32, 93, 17]
Generated Node #0,1: 45:[32, 93, 17] Operation: 94-77=17
Exploring Operation: 93-77=16, Resulting Numbers: [94, 32, 16]
Generated Node #0,2: 45:[94, 32, 16] Operation: 93-77=16
Exploring Operation: 94-32=62, Resulting Numbers: [77, 93, 62]
Generated Node #0,3: 45:[77, 93, 62] Operation: 94-32=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[77, 32, 1], Operations: ['94-93=1']
Exploring Operation: 77*1=77, Resulting Numbers: [32, 77]
Generated Node #0,0,0: 45:[32, 77] Operation: 77*1=77
Exploring Operation: 32+1=33, Resulting Numbers: [77, 33]
Generated Node #0,0,1: 45:[77, 33] Operation: 32+1=33
Exploring Operation: 77-32=45, Resulting Numbers: [1, 45]
Generated Node #0,0,2: 45:[1, 45] Operation: 77-32=45
Exploring Operation: 77-1=76, Resulting Numbers: [32, 76]
Generated Node #0,0,3: 45:[32, 76] Operation: 77-1=76
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 45:[1, 45], Operations: ['94-93=1', '77-32=45']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[94, 77, 32, 93], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [77, 32, 1]
Generated Node #0,0: 45:[77, 32, 1] Operation: 94-93=1
Moving to Node #0,0
Current State: 45:[77, 32, 1], Operations: ['94-93=1']
Exploring Operation: 77-32=45, Resulting Numbers: [1, 45]
Generated Node #0,0,2: 45:[1, 45] Operation: 77-32=45
Moving to Node #0,0,2
Current State: 45:[1, 45], Operations: ['94-93=1', '77-32=45']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
29,
64,
16,
40
] | 15 | [
"40-29=11",
"64/16=4",
"11+4=15"
] | Current State: 15:[29, 64, 16, 40], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [64, 16, 11]
Generated Node #2: [64, 16, 11] from Operation: 40-29=11
Current State: 15:[64, 16, 11], Operations: ['40-29=11']
Exploring Operation: 64/16=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 64/16=4
Current State: 15:[11, 4], Operations: ['40-29=11', '64/16=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[29, 64, 16, 40], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [29, 40, 4]
Generated Node #0,0: 15:[29, 40, 4] Operation: 64/16=4
Exploring Operation: 40-29=11, Resulting Numbers: [64, 16, 11]
Generated Node #0,1: 15:[64, 16, 11] Operation: 40-29=11
Exploring Operation: 64-40=24, Resulting Numbers: [29, 16, 24]
Generated Node #0,2: 15:[29, 16, 24] Operation: 64-40=24
Exploring Operation: 64-29=35, Resulting Numbers: [16, 40, 35]
Generated Node #0,3: 15:[16, 40, 35] Operation: 64-29=35
Moving to Node #0,2
Current State: 15:[29, 16, 24], Operations: ['64-40=24']
Exploring Operation: 29-16=13, Resulting Numbers: [24, 13]
Generated Node #0,2,0: 15:[24, 13] Operation: 29-16=13
Exploring Operation: 24-16=8, Resulting Numbers: [29, 8]
Generated Node #0,2,1: 15:[29, 8] Operation: 24-16=8
Exploring Operation: 29+16=45, Resulting Numbers: [24, 45]
Generated Node #0,2,2: 15:[24, 45] Operation: 29+16=45
Exploring Operation: 29-24=5, Resulting Numbers: [16, 5]
Generated Node #0,2,3: 15:[16, 5] Operation: 29-24=5
Moving to Node #0,0
Current State: 15:[29, 40, 4], Operations: ['64/16=4']
Exploring Operation: 29-4=25, Resulting Numbers: [40, 25]
Generated Node #0,0,0: 15:[40, 25] Operation: 29-4=25
Exploring Operation: 40-29=11, Resulting Numbers: [4, 11]
Generated Node #0,0,1: 15:[4, 11] Operation: 40-29=11
Exploring Operation: 40/4=10, Resulting Numbers: [29, 10]
Generated Node #0,0,2: 15:[29, 10] Operation: 40/4=10
Exploring Operation: 40-4=36, Resulting Numbers: [29, 36]
Generated Node #0,0,3: 15:[29, 36] Operation: 40-4=36
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[4, 11], Operations: ['64/16=4', '40-29=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[29, 64, 16, 40], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [29, 40, 4]
Generated Node #0,0: 15:[29, 40, 4] Operation: 64/16=4
Moving to Node #0,0
Current State: 15:[29, 40, 4], Operations: ['64/16=4']
Exploring Operation: 40-29=11, Resulting Numbers: [4, 11]
Generated Node #0,0,1: 15:[4, 11] Operation: 40-29=11
Moving to Node #0,0,1
Current State: 15:[4, 11], Operations: ['64/16=4', '40-29=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
52,
46,
52,
95
] | 95 | [
"52-52=0",
"46*0=0",
"95+0=95"
] | Current State: 95:[52, 46, 52, 95], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [46, 95, 0]
Generated Node #2: [46, 95, 0] from Operation: 52-52=0
Current State: 95:[46, 95, 0], Operations: ['52-52=0']
Exploring Operation: 46*0=0, Resulting Numbers: [95, 0]
Generated Node #3: [95, 0] from Operation: 46*0=0
Current State: 95:[95, 0], Operations: ['52-52=0', '46*0=0']
Exploring Operation: 95+0=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[52, 46, 52, 95], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [46, 95, 0]
Generated Node #0,0: 95:[46, 95, 0] Operation: 52-52=0
Exploring Operation: 52/52=1, Resulting Numbers: [46, 95, 1]
Generated Node #0,1: 95:[46, 95, 1] Operation: 52/52=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[46, 95, 1], Operations: ['52/52=1']
Exploring Operation: 46-1=45, Resulting Numbers: [95, 45]
Generated Node #0,1,0: 95:[95, 45] Operation: 46-1=45
Exploring Operation: 46*1=46, Resulting Numbers: [95, 46]
Generated Node #0,1,1: 95:[95, 46] Operation: 46*1=46
Moving to Node #0,1,0
Current State: 95:[95, 45], Operations: ['52/52=1', '46-1=45']
Exploring Operation: 95+45=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[95, 46], Operations: ['52/52=1', '46*1=46']
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,95 unequal: No Solution
Exploring Operation: 95+46=141, Resulting Numbers: [141]
141,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[46, 95, 0], Operations: ['52-52=0']
Exploring Operation: 46*0=0, Resulting Numbers: [95, 0]
Generated Node #0,0,0: 95:[95, 0] Operation: 46*0=0
Exploring Operation: 46+0=46, Resulting Numbers: [95, 46]
Generated Node #0,0,1: 95:[95, 46] Operation: 46+0=46
Moving to Node #0,0,0
Current State: 95:[95, 0], Operations: ['52-52=0', '46*0=0']
Exploring Operation: 95-0=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[52, 46, 52, 95], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [46, 95, 0]
Generated Node #0,0: 95:[46, 95, 0] Operation: 52-52=0
Moving to Node #0,0
Current State: 95:[46, 95, 0], Operations: ['52-52=0']
Exploring Operation: 46*0=0, Resulting Numbers: [95, 0]
Generated Node #0,0,0: 95:[95, 0] Operation: 46*0=0
Moving to Node #0,0,0
Current State: 95:[95, 0], Operations: ['52-52=0', '46*0=0']
Exploring Operation: 95-0=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
49,
2,
47,
22
] | 52 | [
"49+47=96",
"2*22=44",
"96-44=52"
] | Current State: 52:[49, 2, 47, 22], Operations: []
Exploring Operation: 49+47=96, Resulting Numbers: [2, 22, 96]
Generated Node #2: [2, 22, 96] from Operation: 49+47=96
Current State: 52:[2, 22, 96], Operations: ['49+47=96']
Exploring Operation: 2*22=44, Resulting Numbers: [96, 44]
Generated Node #3: [96, 44] from Operation: 2*22=44
Current State: 52:[96, 44], Operations: ['49+47=96', '2*22=44']
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[49, 2, 47, 22], Operations: []
Exploring Operation: 47-22=25, Resulting Numbers: [49, 2, 25]
Generated Node #0,0: 52:[49, 2, 25] Operation: 47-22=25
Exploring Operation: 49-22=27, Resulting Numbers: [2, 47, 27]
Generated Node #0,1: 52:[2, 47, 27] Operation: 49-22=27
Exploring Operation: 49-47=2, Resulting Numbers: [2, 22, 2]
Generated Node #0,2: 52:[2, 22, 2] Operation: 49-47=2
Exploring Operation: 2+47=49, Resulting Numbers: [49, 22, 49]
Generated Node #0,3: 52:[49, 22, 49] Operation: 2+47=49
Exploring Operation: 49+2=51, Resulting Numbers: [47, 22, 51]
Generated Node #0,4: 52:[47, 22, 51] Operation: 49+2=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[49, 2, 25], Operations: ['47-22=25']
Exploring Operation: 2*25=50, Resulting Numbers: [49, 50]
Generated Node #0,0,0: 52:[49, 50] Operation: 2*25=50
Exploring Operation: 49-25=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 52:[2, 24] Operation: 49-25=24
Exploring Operation: 49+2=51, Resulting Numbers: [25, 51]
Generated Node #0,0,2: 52:[25, 51] Operation: 49+2=51
Exploring Operation: 2+25=27, Resulting Numbers: [49, 27]
Generated Node #0,0,3: 52:[49, 27] Operation: 2+25=27
Exploring Operation: 49-2=47, Resulting Numbers: [25, 47]
Generated Node #0,0,4: 52:[25, 47] Operation: 49-2=47
Moving to Node #0,0,1
Current State: 52:[2, 24], Operations: ['47-22=25', '49-25=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[25, 51], Operations: ['47-22=25', '49+2=51']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 25*51=1275, Resulting Numbers: [1275]
1275,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[49, 27], Operations: ['47-22=25', '2+25=27']
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,52 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[49, 50], Operations: ['47-22=25', '2*25=50']
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,52 unequal: No Solution
Exploring Operation: 49*50=2450, Resulting Numbers: [2450]
2450,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[25, 47], Operations: ['47-22=25', '49-2=47']
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,52 unequal: No Solution
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,52 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 #0,2
Current State: 52:[2, 22, 2], Operations: ['49-47=2']
Exploring Operation: 22/2=11, Resulting Numbers: [2, 11]
Generated Node #0,2,0: 52:[2, 11] Operation: 22/2=11
Exploring Operation: 2+2=4, Resulting Numbers: [22, 4]
Generated Node #0,2,1: 52:[22, 4] Operation: 2+2=4
Exploring Operation: 22+2=24, Resulting Numbers: [2, 24]
Generated Node #0,2,2: 52:[2, 24] Operation: 22+2=24
Exploring Operation: 22/2=11, Resulting Numbers: [2, 11]
Generated Node #0,2,3: 52:[2, 11] Operation: 22/2=11
Exploring Operation: 2+22=24, Resulting Numbers: [2, 24]
Generated Node #0,2,4: 52:[2, 24] Operation: 2+22=24
Moving to Node #0,2,0
Current State: 52:[2, 11], Operations: ['49-47=2', '22/2=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[2, 11], Operations: ['49-47=2', '22/2=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[2, 24], Operations: ['49-47=2', '22+2=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[2, 24], Operations: ['49-47=2', '2+22=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[22, 4], Operations: ['49-47=2', '2+2=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,52 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,52 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
Current State: 52:[2, 47, 27], Operations: ['49-22=27']
Exploring Operation: 47-2=45, Resulting Numbers: [27, 45]
Generated Node #0,1,0: 52:[27, 45] Operation: 47-2=45
Exploring Operation: 47-27=20, Resulting Numbers: [2, 20]
Generated Node #0,1,1: 52:[2, 20] Operation: 47-27=20
Exploring Operation: 2+47=49, Resulting Numbers: [27, 49]
Generated Node #0,1,2: 52:[27, 49] Operation: 2+47=49
Exploring Operation: 2*27=54, Resulting Numbers: [47, 54]
Generated Node #0,1,3: 52:[47, 54] Operation: 2*27=54
Exploring Operation: 27-2=25, Resulting Numbers: [47, 25]
Generated Node #0,1,4: 52:[47, 25] Operation: 27-2=25
Moving to Node #0,1,2
Current State: 52:[27, 49], Operations: ['49-22=27', '2+47=49']
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 27*49=1323, Resulting Numbers: [1323]
1323,52 unequal: No Solution
Moving to Node #0,1,4
Current State: 52:[47, 25], Operations: ['49-22=27', '27-2=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 47*25=1175, Resulting Numbers: [1175]
1175,52 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[2, 20], Operations: ['49-22=27', '47-27=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[47, 54], Operations: ['49-22=27', '2*27=54']
Exploring Operation: 47*54=2538, Resulting Numbers: [2538]
2538,52 unequal: No Solution
Exploring Operation: 47+54=101, Resulting Numbers: [101]
101,52 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[27, 45], Operations: ['49-22=27', '47-2=45']
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,52 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,52 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 #0,3
Current State: 52:[49, 22, 49], Operations: ['2+47=49']
Exploring Operation: 49-49=0, Resulting Numbers: [22, 0]
Generated Node #0,3,0: 52:[22, 0] Operation: 49-49=0
Exploring Operation: 49-22=27, Resulting Numbers: [49, 27]
Generated Node #0,3,1: 52:[49, 27] Operation: 49-22=27
Exploring Operation: 49+22=71, Resulting Numbers: [49, 71]
Generated Node #0,3,2: 52:[49, 71] Operation: 49+22=71
Exploring Operation: 49/49=1, Resulting Numbers: [22, 1]
Generated Node #0,3,3: 52:[22, 1] Operation: 49/49=1
Exploring Operation: 49-22=27, Resulting Numbers: [49, 27]
Generated Node #0,3,4: 52:[49, 27] Operation: 49-22=27
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 52:[49, 27], Operations: ['2+47=49', '49-22=27']
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 52:[49, 27], Operations: ['2+47=49', '49-22=27']
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,52 unequal: No Solution
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 52:[22, 1], Operations: ['2+47=49', '49/49=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 52:[22, 0], Operations: ['2+47=49', '49-49=0']
Exploring Operation: 22+0=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 22*0=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 22-0=22, Resulting Numbers: [22]
22,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 52:[49, 71], Operations: ['2+47=49', '49+22=71']
Exploring Operation: 71-49=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 49*71=3479, Resulting Numbers: [3479]
3479,52 unequal: No Solution
Exploring Operation: 49+71=120, Resulting Numbers: [120]
120,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[47, 22, 51], Operations: ['49+2=51']
Exploring Operation: 51-22=29, Resulting Numbers: [47, 29]
Generated Node #0,4,0: 52:[47, 29] Operation: 51-22=29
Exploring Operation: 47-22=25, Resulting Numbers: [51, 25]
Generated Node #0,4,1: 52:[51, 25] Operation: 47-22=25
Exploring Operation: 47+22=69, Resulting Numbers: [51, 69]
Generated Node #0,4,2: 52:[51, 69] Operation: 47+22=69
Exploring Operation: 22+51=73, Resulting Numbers: [47, 73]
Generated Node #0,4,3: 52:[47, 73] Operation: 22+51=73
Exploring Operation: 51-47=4, Resulting Numbers: [22, 4]
Generated Node #0,4,4: 52:[22, 4] Operation: 51-47=4
Moving to Node #0,4,1
Current State: 52:[51, 25], Operations: ['49+2=51', '47-22=25']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,52 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[22, 4], Operations: ['49+2=51', '51-47=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,52 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Moving to Node #0,4,0
Current State: 52:[47, 29], Operations: ['49+2=51', '51-22=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,52 unequal: No Solution
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Moving to Node #0,4,2
Current State: 52:[51, 69], Operations: ['49+2=51', '47+22=69']
Exploring Operation: 51+69=120, Resulting Numbers: [120]
120,52 unequal: No Solution
Exploring Operation: 69-51=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 51*69=3519, Resulting Numbers: [3519]
3519,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[47, 73], Operations: ['49+2=51', '22+51=73']
Exploring Operation: 47+73=120, Resulting Numbers: [120]
120,52 unequal: No Solution
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 47*73=3431, Resulting Numbers: [3431]
3431,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
72,
39,
28,
89
] | 28 | [
"72-39=33",
"89-28=61",
"61-33=28"
] | Current State: 28:[72, 39, 28, 89], Operations: []
Exploring Operation: 72-39=33, Resulting Numbers: [28, 89, 33]
Generated Node #2: [28, 89, 33] from Operation: 72-39=33
Current State: 28:[28, 89, 33], Operations: ['72-39=33']
Exploring Operation: 89-28=61, Resulting Numbers: [33, 61]
Generated Node #3: [33, 61] from Operation: 89-28=61
Current State: 28:[33, 61], Operations: ['72-39=33', '89-28=61']
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[72, 39, 28, 89], Operations: []
Exploring Operation: 72-39=33, Resulting Numbers: [28, 89, 33]
Generated Node #0,0: 28:[28, 89, 33] Operation: 72-39=33
Exploring Operation: 89-72=17, Resulting Numbers: [39, 28, 17]
Generated Node #0,1: 28:[39, 28, 17] Operation: 89-72=17
Exploring Operation: 72-28=44, Resulting Numbers: [39, 89, 44]
Generated Node #0,2: 28:[39, 89, 44] Operation: 72-28=44
Exploring Operation: 89-39=50, Resulting Numbers: [72, 28, 50]
Generated Node #0,3: 28:[72, 28, 50] Operation: 89-39=50
Moving to Node #0,1
Current State: 28:[39, 28, 17], Operations: ['89-72=17']
Exploring Operation: 28-17=11, Resulting Numbers: [39, 11]
Generated Node #0,1,0: 28:[39, 11] Operation: 28-17=11
Exploring Operation: 39+17=56, Resulting Numbers: [28, 56]
Generated Node #0,1,1: 28:[28, 56] Operation: 39+17=56
Exploring Operation: 39-17=22, Resulting Numbers: [28, 22]
Generated Node #0,1,2: 28:[28, 22] Operation: 39-17=22
Exploring Operation: 39-28=11, Resulting Numbers: [17, 11]
Generated Node #0,1,3: 28:[17, 11] Operation: 39-28=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[28, 22], Operations: ['89-72=17', '39-17=22']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,28 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 28:[17, 11], Operations: ['89-72=17', '39-28=11']
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,28 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[72, 39, 28, 89], Operations: []
Exploring Operation: 89-72=17, Resulting Numbers: [39, 28, 17]
Generated Node #0,1: 28:[39, 28, 17] Operation: 89-72=17
Moving to Node #0,1
Current State: 28:[39, 28, 17], Operations: ['89-72=17']
Exploring Operation: 39-28=11, Resulting Numbers: [17, 11]
Generated Node #0,1,3: 28:[17, 11] Operation: 39-28=11
Moving to Node #0,1,3
Current State: 28:[17, 11], Operations: ['89-72=17', '39-28=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
21,
98,
99,
36
] | 69 | [
"98*36=3528",
"3528/21=168",
"168-99=69"
] | Current State: 69:[21, 98, 99, 36], Operations: []
Exploring Operation: 98*36=3528, Resulting Numbers: [21, 99, 3528]
Generated Node #2: [21, 99, 3528] from Operation: 98*36=3528
Current State: 69:[21, 99, 3528], Operations: ['98*36=3528']
Exploring Operation: 3528/21=168, Resulting Numbers: [99, 168]
Generated Node #3: [99, 168] from Operation: 3528/21=168
Current State: 69:[99, 168], Operations: ['98*36=3528', '3528/21=168']
Exploring Operation: 168-99=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[21, 98, 99, 36], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [21, 98, 63]
Generated Node #0,0: 69:[21, 98, 63] Operation: 99-36=63
Exploring Operation: 98-36=62, Resulting Numbers: [21, 99, 62]
Generated Node #0,1: 69:[21, 99, 62] Operation: 98-36=62
Exploring Operation: 98-21=77, Resulting Numbers: [99, 36, 77]
Generated Node #0,2: 69:[99, 36, 77] Operation: 98-21=77
Exploring Operation: 99-98=1, Resulting Numbers: [21, 36, 1]
Generated Node #0,3: 69:[21, 36, 1] Operation: 99-98=1
Exploring Operation: 99-21=78, Resulting Numbers: [98, 36, 78]
Generated Node #0,4: 69:[98, 36, 78] Operation: 99-21=78
Moving to Node #0,3
Current State: 69:[21, 36, 1], Operations: ['99-98=1']
Exploring Operation: 36-1=35, Resulting Numbers: [21, 35]
Generated Node #0,3,0: 69:[21, 35] Operation: 36-1=35
Exploring Operation: 36-21=15, Resulting Numbers: [1, 15]
Generated Node #0,3,1: 69:[1, 15] Operation: 36-21=15
Exploring Operation: 21+36=57, Resulting Numbers: [1, 57]
Generated Node #0,3,2: 69:[1, 57] Operation: 21+36=57
Exploring Operation: 21*1=21, Resulting Numbers: [36, 21]
Generated Node #0,3,3: 69:[36, 21] Operation: 21*1=21
Exploring Operation: 21+1=22, Resulting Numbers: [36, 22]
Generated Node #0,3,4: 69:[36, 22] Operation: 21+1=22
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[1, 15], Operations: ['99-98=1', '36-21=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,69 unequal: No Solution
No 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: 69:[21, 35], Operations: ['99-98=1', '36-1=35']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,69 unequal: No Solution
No 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: 69:[1, 57], Operations: ['99-98=1', '21+36=57']
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,69 unequal: No Solution
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,69 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,69 unequal: No Solution
No 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: 69:[36, 22], Operations: ['99-98=1', '21+1=22']
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,69 unequal: No Solution
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,69 unequal: No Solution
No 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: 69:[36, 21], Operations: ['99-98=1', '21*1=21']
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,69 unequal: No Solution
Exploring Operation: 36*21=756, Resulting Numbers: [756]
756,69 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,69 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: 69:[21, 98, 63], Operations: ['99-36=63']
Exploring Operation: 21+63=84, Resulting Numbers: [98, 84]
Generated Node #0,0,0: 69:[98, 84] Operation: 21+63=84
Exploring Operation: 63-21=42, Resulting Numbers: [98, 42]
Generated Node #0,0,1: 69:[98, 42] Operation: 63-21=42
Exploring Operation: 63/21=3, Resulting Numbers: [98, 3]
Generated Node #0,0,2: 69:[98, 3] Operation: 63/21=3
Exploring Operation: 98-63=35, Resulting Numbers: [21, 35]
Generated Node #0,0,3: 69:[21, 35] Operation: 98-63=35
Exploring Operation: 98-21=77, Resulting Numbers: [63, 77]
Generated Node #0,0,4: 69:[63, 77] Operation: 98-21=77
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[21, 35], Operations: ['99-36=63', '98-63=35']
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,69 unequal: No Solution
No 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: 69:[63, 77], Operations: ['99-36=63', '98-21=77']
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 63*77=4851, Resulting Numbers: [4851]
4851,69 unequal: No Solution
Exploring Operation: 63+77=140, Resulting Numbers: [140]
140,69 unequal: No Solution
No 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: 69:[98, 3], Operations: ['99-36=63', '63/21=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,69 unequal: No Solution
Exploring Operation: 98*3=294, Resulting Numbers: [294]
294,69 unequal: No Solution
Exploring Operation: 98+3=101, Resulting Numbers: [101]
101,69 unequal: No Solution
No 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: 69:[98, 84], Operations: ['99-36=63', '21+63=84']
Exploring Operation: 98*84=8232, Resulting Numbers: [8232]
8232,69 unequal: No Solution
Exploring Operation: 98-84=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 98+84=182, Resulting Numbers: [182]
182,69 unequal: No Solution
No 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: 69:[98, 42], Operations: ['99-36=63', '63-21=42']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,69 unequal: No Solution
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,69 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: 69:[21, 99, 62], Operations: ['98-36=62']
Exploring Operation: 62-21=41, Resulting Numbers: [99, 41]
Generated Node #0,1,0: 69:[99, 41] Operation: 62-21=41
Exploring Operation: 21+62=83, Resulting Numbers: [99, 83]
Generated Node #0,1,1: 69:[99, 83] Operation: 21+62=83
Exploring Operation: 21+99=120, Resulting Numbers: [62, 120]
Generated Node #0,1,2: 69:[62, 120] Operation: 21+99=120
Exploring Operation: 99-62=37, Resulting Numbers: [21, 37]
Generated Node #0,1,3: 69:[21, 37] Operation: 99-62=37
Exploring Operation: 99-21=78, Resulting Numbers: [62, 78]
Generated Node #0,1,4: 69:[62, 78] Operation: 99-21=78
Moving to Node #0,2
Current State: 69:[99, 36, 77], Operations: ['98-21=77']
Exploring Operation: 36+77=113, Resulting Numbers: [99, 113]
Generated Node #0,2,0: 69:[99, 113] Operation: 36+77=113
Exploring Operation: 99-36=63, Resulting Numbers: [77, 63]
Generated Node #0,2,1: 69:[77, 63] Operation: 99-36=63
Exploring Operation: 99-77=22, Resulting Numbers: [36, 22]
Generated Node #0,2,2: 69:[36, 22] Operation: 99-77=22
Exploring Operation: 99+36=135, Resulting Numbers: [77, 135]
Generated Node #0,2,3: 69:[77, 135] Operation: 99+36=135
Exploring Operation: 77-36=41, Resulting Numbers: [99, 41]
Generated Node #0,2,4: 69:[99, 41] Operation: 77-36=41
Moving to Node #0,4
Current State: 69:[98, 36, 78], Operations: ['99-21=78']
Exploring Operation: 98-36=62, Resulting Numbers: [78, 62]
Generated Node #0,4,0: 69:[78, 62] Operation: 98-36=62
Exploring Operation: 98+36=134, Resulting Numbers: [78, 134]
Generated Node #0,4,1: 69:[78, 134] Operation: 98+36=134
Exploring Operation: 78-36=42, Resulting Numbers: [98, 42]
Generated Node #0,4,2: 69:[98, 42] Operation: 78-36=42
Exploring Operation: 36+78=114, Resulting Numbers: [98, 114]
Generated Node #0,4,3: 69:[98, 114] Operation: 36+78=114
Exploring Operation: 98-78=20, Resulting Numbers: [36, 20]
Generated Node #0,4,4: 69:[36, 20] Operation: 98-78=20
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 69:[78, 62], Operations: ['99-21=78', '98-36=62']
Exploring Operation: 78+62=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 78*62=4836, Resulting Numbers: [4836]
4836,69 unequal: No Solution
No 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: 69:[36, 20], Operations: ['99-21=78', '98-78=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,69 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,69 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,69 unequal: No Solution
No 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: 69:[98, 42], Operations: ['99-21=78', '78-36=42']
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,69 unequal: No Solution
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,69 unequal: No Solution
No 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: 69:[78, 134], Operations: ['99-21=78', '98+36=134']
Exploring Operation: 78+134=212, Resulting Numbers: [212]
212,69 unequal: No Solution
Exploring Operation: 78*134=10452, Resulting Numbers: [10452]
10452,69 unequal: No Solution
Exploring Operation: 134-78=56, Resulting Numbers: [56]
56,69 unequal: No Solution
No 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: 69:[98, 114], Operations: ['99-21=78', '36+78=114']
Exploring Operation: 114-98=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 98*114=11172, Resulting Numbers: [11172]
11172,69 unequal: No Solution
Exploring Operation: 98+114=212, Resulting Numbers: [212]
212,69 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: 69:[77, 63], Operations: ['98-21=77', '99-36=63']
Exploring Operation: 77*63=4851, Resulting Numbers: [4851]
4851,69 unequal: No Solution
Exploring Operation: 77+63=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[36, 22], Operations: ['98-21=77', '99-77=22']
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,69 unequal: No Solution
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[21, 37], Operations: ['98-36=62', '99-62=37']
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,69 unequal: No Solution
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Moving to Node #0,1,4
Current State: 69:[62, 78], Operations: ['98-36=62', '99-21=78']
Exploring Operation: 62+78=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 62*78=4836, Resulting Numbers: [4836]
4836,69 unequal: No Solution
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[99, 83], Operations: ['98-36=62', '21+62=83']
Exploring Operation: 99+83=182, Resulting Numbers: [182]
182,69 unequal: No Solution
Exploring Operation: 99-83=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 99*83=8217, Resulting Numbers: [8217]
8217,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[99, 41], Operations: ['98-36=62', '62-21=41']
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,69 unequal: No Solution
Moving to Node #0,2,4
Current State: 69:[99, 41], Operations: ['98-21=77', '77-36=41']
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,69 unequal: No Solution
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[62, 120], Operations: ['98-36=62', '21+99=120']
Exploring Operation: 120-62=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 62+120=182, Resulting Numbers: [182]
182,69 unequal: No Solution
Exploring Operation: 62*120=7440, Resulting Numbers: [7440]
7440,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[77, 135], Operations: ['98-21=77', '99+36=135']
Exploring Operation: 77*135=10395, Resulting Numbers: [10395]
10395,69 unequal: No Solution
Exploring Operation: 77+135=212, Resulting Numbers: [212]
212,69 unequal: No Solution
Exploring Operation: 135-77=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[99, 113], Operations: ['98-21=77', '36+77=113']
Exploring Operation: 99+113=212, Resulting Numbers: [212]
212,69 unequal: No Solution
Exploring Operation: 99*113=11187, Resulting Numbers: [11187]
11187,69 unequal: No Solution
Exploring Operation: 113-99=14, Resulting Numbers: [14]
14,69 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
11,
3,
5,
93
] | 24 | [
"11*5=55",
"93/3=31",
"55-31=24"
] | Current State: 24:[11, 3, 5, 93], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [3, 93, 55]
Generated Node #2: [3, 93, 55] from Operation: 11*5=55
Current State: 24:[3, 93, 55], Operations: ['11*5=55']
Exploring Operation: 93/3=31, Resulting Numbers: [55, 31]
Generated Node #3: [55, 31] from Operation: 93/3=31
Current State: 24:[55, 31], Operations: ['11*5=55', '93/3=31']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[11, 3, 5, 93], Operations: []
Exploring Operation: 93-3=90, Resulting Numbers: [11, 5, 90]
Generated Node #0,0: 24:[11, 5, 90] Operation: 93-3=90
Exploring Operation: 93-11=82, Resulting Numbers: [3, 5, 82]
Generated Node #0,1: 24:[3, 5, 82] Operation: 93-11=82
Exploring Operation: 93/3=31, Resulting Numbers: [11, 5, 31]
Generated Node #0,2: 24:[11, 5, 31] Operation: 93/3=31
Exploring Operation: 93-5=88, Resulting Numbers: [11, 3, 88]
Generated Node #0,3: 24:[11, 3, 88] Operation: 93-5=88
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[11, 5, 31], Operations: ['93/3=31']
Exploring Operation: 31-11=20, Resulting Numbers: [5, 20]
Generated Node #0,2,0: 24:[5, 20] Operation: 31-11=20
Exploring Operation: 31-5=26, Resulting Numbers: [11, 26]
Generated Node #0,2,1: 24:[11, 26] Operation: 31-5=26
Exploring Operation: 11-5=6, Resulting Numbers: [31, 6]
Generated Node #0,2,2: 24:[31, 6] Operation: 11-5=6
Exploring Operation: 11+5=16, Resulting Numbers: [31, 16]
Generated Node #0,2,3: 24:[31, 16] Operation: 11+5=16
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 24:[11, 26], Operations: ['93/3=31', '31-5=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,24 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,24 unequal: No Solution
No 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: 24:[5, 20], Operations: ['93/3=31', '31-11=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,24 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,24 unequal: No Solution
No 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: 24:[31, 6], Operations: ['93/3=31', '11-5=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,24 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,24 unequal: No Solution
No 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: 24:[31, 16], Operations: ['93/3=31', '11+5=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,24 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: 24:[3, 5, 82], Operations: ['93-11=82']
Exploring Operation: 82-3=79, Resulting Numbers: [5, 79]
Generated Node #0,1,0: 24:[5, 79] Operation: 82-3=79
Exploring Operation: 3+5=8, Resulting Numbers: [82, 8]
Generated Node #0,1,1: 24:[82, 8] Operation: 3+5=8
Exploring Operation: 82-5=77, Resulting Numbers: [3, 77]
Generated Node #0,1,2: 24:[3, 77] Operation: 82-5=77
Exploring Operation: 5-3=2, Resulting Numbers: [82, 2]
Generated Node #0,1,3: 24:[82, 2] Operation: 5-3=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 24:[3, 77], Operations: ['93-11=82', '82-5=77']
Exploring Operation: 3*77=231, Resulting Numbers: [231]
231,24 unequal: No Solution
Exploring Operation: 3+77=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,24 unequal: No Solution
No 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: 24:[5, 79], Operations: ['93-11=82', '82-3=79']
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,24 unequal: No Solution
Exploring Operation: 5*79=395, Resulting Numbers: [395]
395,24 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,24 unequal: No Solution
No 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: 24:[82, 8], Operations: ['93-11=82', '3+5=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,24 unequal: No Solution
Exploring Operation: 82*8=656, Resulting Numbers: [656]
656,24 unequal: No Solution
No 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: 24:[82, 2], Operations: ['93-11=82', '5-3=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,24 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,24 unequal: No Solution
Exploring Operation: 82*2=164, Resulting Numbers: [164]
164,24 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: 24:[11, 3, 88], Operations: ['93-5=88']
Exploring Operation: 88/11=8, Resulting Numbers: [3, 8]
Generated Node #0,3,0: 24:[3, 8] Operation: 88/11=8
Exploring Operation: 88-11=77, Resulting Numbers: [3, 77]
Generated Node #0,3,1: 24:[3, 77] Operation: 88-11=77
Exploring Operation: 11-3=8, Resulting Numbers: [88, 8]
Generated Node #0,3,2: 24:[88, 8] Operation: 11-3=8
Exploring Operation: 88-3=85, Resulting Numbers: [11, 85]
Generated Node #0,3,3: 24:[11, 85] Operation: 88-3=85
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 24:[3, 8], Operations: ['93-5=88', '88/11=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[11, 3, 5, 93], Operations: []
Exploring Operation: 93-5=88, Resulting Numbers: [11, 3, 88]
Generated Node #0,3: 24:[11, 3, 88] Operation: 93-5=88
Moving to Node #0,3
Current State: 24:[11, 3, 88], Operations: ['93-5=88']
Exploring Operation: 88/11=8, Resulting Numbers: [3, 8]
Generated Node #0,3,0: 24:[3, 8] Operation: 88/11=8
Moving to Node #0,3,0
Current State: 24:[3, 8], Operations: ['93-5=88', '88/11=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.958333 | hs_4 | sum_heuristic |
[
8,
84,
29,
54
] | 51 | [
"84-8=76",
"54-29=25",
"76-25=51"
] | Current State: 51:[8, 84, 29, 54], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [29, 54, 76]
Generated Node #2: [29, 54, 76] from Operation: 84-8=76
Current State: 51:[29, 54, 76], Operations: ['84-8=76']
Exploring Operation: 54-29=25, Resulting Numbers: [76, 25]
Generated Node #3: [76, 25] from Operation: 54-29=25
Current State: 51:[76, 25], Operations: ['84-8=76', '54-29=25']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[8, 84, 29, 54], Operations: []
Exploring Operation: 29-8=21, Resulting Numbers: [84, 54, 21]
Generated Node #0,0: 51:[84, 54, 21] Operation: 29-8=21
Exploring Operation: 84-54=30, Resulting Numbers: [8, 29, 30]
Generated Node #0,1: 51:[8, 29, 30] Operation: 84-54=30
Exploring Operation: 54-29=25, Resulting Numbers: [8, 84, 25]
Generated Node #0,2: 51:[8, 84, 25] Operation: 54-29=25
Exploring Operation: 84-29=55, Resulting Numbers: [8, 54, 55]
Generated Node #0,3: 51:[8, 54, 55] Operation: 84-29=55
Exploring Operation: 84-8=76, Resulting Numbers: [29, 54, 76]
Generated Node #0,4: 51:[29, 54, 76] Operation: 84-8=76
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[8, 54, 55], Operations: ['84-29=55']
Exploring Operation: 54-8=46, Resulting Numbers: [55, 46]
Generated Node #0,3,0: 51:[55, 46] Operation: 54-8=46
Exploring Operation: 8+55=63, Resulting Numbers: [54, 63]
Generated Node #0,3,1: 51:[54, 63] Operation: 8+55=63
Exploring Operation: 55-8=47, Resulting Numbers: [54, 47]
Generated Node #0,3,2: 51:[54, 47] Operation: 55-8=47
Exploring Operation: 55-54=1, Resulting Numbers: [8, 1]
Generated Node #0,3,3: 51:[8, 1] Operation: 55-54=1
Exploring Operation: 8+54=62, Resulting Numbers: [55, 62]
Generated Node #0,3,4: 51:[55, 62] Operation: 8+54=62
Moving to Node #0,3,2
Current State: 51:[54, 47], Operations: ['84-29=55', '55-8=47']
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,51 unequal: No Solution
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,51 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[8, 1], Operations: ['84-29=55', '55-54=1']
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[55, 46], Operations: ['84-29=55', '54-8=46']
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,51 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[54, 63], Operations: ['84-29=55', '8+55=63']
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,51 unequal: No Solution
Moving to Node #0,3,4
Current State: 51:[55, 62], Operations: ['84-29=55', '8+54=62']
Exploring Operation: 55*62=3410, Resulting Numbers: [3410]
3410,51 unequal: No Solution
Exploring Operation: 55+62=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[8, 29, 30], Operations: ['84-54=30']
Exploring Operation: 8+30=38, Resulting Numbers: [29, 38]
Generated Node #0,1,0: 51:[29, 38] Operation: 8+30=38
Exploring Operation: 30-29=1, Resulting Numbers: [8, 1]
Generated Node #0,1,1: 51:[8, 1] Operation: 30-29=1
Exploring Operation: 30-8=22, Resulting Numbers: [29, 22]
Generated Node #0,1,2: 51:[29, 22] Operation: 30-8=22
Exploring Operation: 29-8=21, Resulting Numbers: [30, 21]
Generated Node #0,1,3: 51:[30, 21] Operation: 29-8=21
Exploring Operation: 29+30=59, Resulting Numbers: [8, 59]
Generated Node #0,1,4: 51:[8, 59] Operation: 29+30=59
Moving to Node #0,1,1
Current State: 51:[8, 1], Operations: ['84-54=30', '30-29=1']
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,1,4
Current State: 51:[8, 59], Operations: ['84-54=30', '29+30=59']
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 8*59=472, Resulting Numbers: [472]
472,51 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[8, 84, 29, 54], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [8, 29, 30]
Generated Node #0,1: 51:[8, 29, 30] Operation: 84-54=30
Moving to Node #0,1
Current State: 51:[8, 29, 30], Operations: ['84-54=30']
Exploring Operation: 29+30=59, Resulting Numbers: [8, 59]
Generated Node #0,1,4: 51:[8, 59] Operation: 29+30=59
Moving to Node #0,1,4
Current State: 51:[8, 59], Operations: ['84-54=30', '29+30=59']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
43,
82,
96,
86
] | 49 | [
"82-43=39",
"96-86=10",
"39+10=49"
] | Current State: 49:[43, 82, 96, 86], Operations: []
Exploring Operation: 82-43=39, Resulting Numbers: [96, 86, 39]
Generated Node #2: [96, 86, 39] from Operation: 82-43=39
Current State: 49:[96, 86, 39], Operations: ['82-43=39']
Exploring Operation: 96-86=10, Resulting Numbers: [39, 10]
Generated Node #3: [39, 10] from Operation: 96-86=10
Current State: 49:[39, 10], Operations: ['82-43=39', '96-86=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[43, 82, 96, 86], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [43, 82, 10]
Generated Node #0,0: 49:[43, 82, 10] Operation: 96-86=10
Exploring Operation: 86-82=4, Resulting Numbers: [43, 96, 4]
Generated Node #0,1: 49:[43, 96, 4] Operation: 86-82=4
Exploring Operation: 96-43=53, Resulting Numbers: [82, 86, 53]
Generated Node #0,2: 49:[82, 86, 53] Operation: 96-43=53
Exploring Operation: 86/43=2, Resulting Numbers: [82, 96, 2]
Generated Node #0,3: 49:[82, 96, 2] Operation: 86/43=2
Exploring Operation: 96-82=14, Resulting Numbers: [43, 86, 14]
Generated Node #0,4: 49:[43, 86, 14] Operation: 96-82=14
Moving to Node #0,0
Current State: 49:[43, 82, 10], Operations: ['96-86=10']
Exploring Operation: 82-43=39, Resulting Numbers: [10, 39]
Generated Node #0,0,0: 49:[10, 39] Operation: 82-43=39
Exploring Operation: 82+10=92, Resulting Numbers: [43, 92]
Generated Node #0,0,1: 49:[43, 92] Operation: 82+10=92
Exploring Operation: 82-10=72, Resulting Numbers: [43, 72]
Generated Node #0,0,2: 49:[43, 72] Operation: 82-10=72
Exploring Operation: 43-10=33, Resulting Numbers: [82, 33]
Generated Node #0,0,3: 49:[82, 33] Operation: 43-10=33
Exploring Operation: 43+10=53, Resulting Numbers: [82, 53]
Generated Node #0,0,4: 49:[82, 53] Operation: 43+10=53
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[10, 39], Operations: ['96-86=10', '82-43=39']
Exploring Operation: 10*39=390, Resulting Numbers: [390]
390,49 unequal: No Solution
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[43, 82, 96, 86], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [43, 82, 10]
Generated Node #0,0: 49:[43, 82, 10] Operation: 96-86=10
Moving to Node #0,0
Current State: 49:[43, 82, 10], Operations: ['96-86=10']
Exploring Operation: 82-43=39, Resulting Numbers: [10, 39]
Generated Node #0,0,0: 49:[10, 39] Operation: 82-43=39
Moving to Node #0,0,0
Current State: 49:[10, 39], Operations: ['96-86=10', '82-43=39']
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
59,
45,
70,
2
] | 93 | [
"59*2=118",
"70-45=25",
"118-25=93"
] | Current State: 93:[59, 45, 70, 2], Operations: []
Exploring Operation: 59*2=118, Resulting Numbers: [45, 70, 118]
Generated Node #2: [45, 70, 118] from Operation: 59*2=118
Current State: 93:[45, 70, 118], Operations: ['59*2=118']
Exploring Operation: 70-45=25, Resulting Numbers: [118, 25]
Generated Node #3: [118, 25] from Operation: 70-45=25
Current State: 93:[118, 25], Operations: ['59*2=118', '70-45=25']
Exploring Operation: 118-25=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[59, 45, 70, 2], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [59, 45, 35]
Generated Node #0,0: 93:[59, 45, 35] Operation: 70/2=35
Exploring Operation: 70-59=11, Resulting Numbers: [45, 2, 11]
Generated Node #0,1: 93:[45, 2, 11] Operation: 70-59=11
Exploring Operation: 59-45=14, Resulting Numbers: [70, 2, 14]
Generated Node #0,2: 93:[70, 2, 14] Operation: 59-45=14
Exploring Operation: 59+45=104, Resulting Numbers: [70, 2, 104]
Generated Node #0,3: 93:[70, 2, 104] Operation: 59+45=104
Exploring Operation: 70-45=25, Resulting Numbers: [59, 2, 25]
Generated Node #0,4: 93:[59, 2, 25] Operation: 70-45=25
Moving to Node #0,1
Current State: 93:[45, 2, 11], Operations: ['70-59=11']
Exploring Operation: 45-11=34, Resulting Numbers: [2, 34]
Generated Node #0,1,0: 93:[2, 34] Operation: 45-11=34
Exploring Operation: 45-2=43, Resulting Numbers: [11, 43]
Generated Node #0,1,1: 93:[11, 43] Operation: 45-2=43
Exploring Operation: 11-2=9, Resulting Numbers: [45, 9]
Generated Node #0,1,2: 93:[45, 9] Operation: 11-2=9
Exploring Operation: 2*11=22, Resulting Numbers: [45, 22]
Generated Node #0,1,3: 93:[45, 22] Operation: 2*11=22
Exploring Operation: 45*2=90, Resulting Numbers: [11, 90]
Generated Node #0,1,4: 93:[11, 90] Operation: 45*2=90
Moving to Node #0,3
Current State: 93:[70, 2, 104], Operations: ['59+45=104']
Exploring Operation: 104-70=34, Resulting Numbers: [2, 34]
Generated Node #0,3,0: 93:[2, 34] Operation: 104-70=34
Exploring Operation: 104-2=102, Resulting Numbers: [70, 102]
Generated Node #0,3,1: 93:[70, 102] Operation: 104-2=102
Exploring Operation: 70+2=72, Resulting Numbers: [104, 72]
Generated Node #0,3,2: 93:[104, 72] Operation: 70+2=72
Exploring Operation: 70-2=68, Resulting Numbers: [104, 68]
Generated Node #0,3,3: 93:[104, 68] Operation: 70-2=68
Exploring Operation: 70/2=35, Resulting Numbers: [104, 35]
Generated Node #0,3,4: 93:[104, 35] Operation: 70/2=35
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[2, 34], Operations: ['59+45=104', '104-70=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,93 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 #0,3,4
Current State: 93:[104, 35], Operations: ['59+45=104', '70/2=35']
Exploring Operation: 104-35=69, Resulting Numbers: [69]
69,93 unequal: No Solution
Exploring Operation: 104*35=3640, Resulting Numbers: [3640]
3640,93 unequal: No Solution
Exploring Operation: 104+35=139, Resulting Numbers: [139]
139,93 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 #0,3,1
Current State: 93:[70, 102], Operations: ['59+45=104', '104-2=102']
Exploring Operation: 102-70=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 70+102=172, Resulting Numbers: [172]
172,93 unequal: No Solution
Exploring Operation: 70*102=7140, Resulting Numbers: [7140]
7140,93 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 #0,3,2
Current State: 93:[104, 72], Operations: ['59+45=104', '70+2=72']
Exploring Operation: 104*72=7488, Resulting Numbers: [7488]
7488,93 unequal: No Solution
Exploring Operation: 104+72=176, Resulting Numbers: [176]
176,93 unequal: No Solution
Exploring Operation: 104-72=32, Resulting Numbers: [32]
32,93 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 #0,3,3
Current State: 93:[104, 68], Operations: ['59+45=104', '70-2=68']
Exploring Operation: 104+68=172, Resulting Numbers: [172]
172,93 unequal: No Solution
Exploring Operation: 104-68=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Exploring Operation: 104*68=7072, Resulting Numbers: [7072]
7072,93 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: 93:[70, 2, 14], Operations: ['59-45=14']
Exploring Operation: 70/14=5, Resulting Numbers: [2, 5]
Generated Node #0,2,0: 93:[2, 5] Operation: 70/14=5
Exploring Operation: 70+14=84, Resulting Numbers: [2, 84]
Generated Node #0,2,1: 93:[2, 84] Operation: 70+14=84
Exploring Operation: 70-14=56, Resulting Numbers: [2, 56]
Generated Node #0,2,2: 93:[2, 56] Operation: 70-14=56
Exploring Operation: 70/2=35, Resulting Numbers: [14, 35]
Generated Node #0,2,3: 93:[14, 35] Operation: 70/2=35
Exploring Operation: 2*14=28, Resulting Numbers: [70, 28]
Generated Node #0,2,4: 93:[70, 28] Operation: 2*14=28
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[2, 5], Operations: ['59-45=14', '70/14=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[2, 84], Operations: ['59-45=14', '70+14=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,93 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[14, 35], Operations: ['59-45=14', '70/2=35']
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,93 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[2, 56], Operations: ['59-45=14', '70-14=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 93:[70, 28], Operations: ['59-45=14', '2*14=28']
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,93 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,93 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: 93:[59, 2, 25], Operations: ['70-45=25']
Exploring Operation: 59+25=84, Resulting Numbers: [2, 84]
Generated Node #0,4,0: 93:[2, 84] Operation: 59+25=84
Exploring Operation: 59-2=57, Resulting Numbers: [25, 57]
Generated Node #0,4,1: 93:[25, 57] Operation: 59-2=57
Exploring Operation: 2+25=27, Resulting Numbers: [59, 27]
Generated Node #0,4,2: 93:[59, 27] Operation: 2+25=27
Exploring Operation: 59*2=118, Resulting Numbers: [25, 118]
Generated Node #0,4,3: 93:[25, 118] Operation: 59*2=118
Exploring Operation: 59-25=34, Resulting Numbers: [2, 34]
Generated Node #0,4,4: 93:[2, 34] Operation: 59-25=34
Moving to Node #0,0
Current State: 93:[59, 45, 35], Operations: ['70/2=35']
Exploring Operation: 59+45=104, Resulting Numbers: [35, 104]
Generated Node #0,0,0: 93:[35, 104] Operation: 59+45=104
Exploring Operation: 59-45=14, Resulting Numbers: [35, 14]
Generated Node #0,0,1: 93:[35, 14] Operation: 59-45=14
Exploring Operation: 59-35=24, Resulting Numbers: [45, 24]
Generated Node #0,0,2: 93:[45, 24] Operation: 59-35=24
Exploring Operation: 45-35=10, Resulting Numbers: [59, 10]
Generated Node #0,0,3: 93:[59, 10] Operation: 45-35=10
Exploring Operation: 59+35=94, Resulting Numbers: [45, 94]
Generated Node #0,0,4: 93:[45, 94] Operation: 59+35=94
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[35, 104], Operations: ['70/2=35', '59+45=104']
Exploring Operation: 35+104=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 104-35=69, Resulting Numbers: [69]
69,93 unequal: No Solution
Exploring Operation: 35*104=3640, Resulting Numbers: [3640]
3640,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 93:[35, 14], Operations: ['70/2=35', '59-45=14']
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,93 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 93:[45, 94], Operations: ['70/2=35', '59+35=94']
Exploring Operation: 45+94=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 94-45=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Exploring Operation: 45*94=4230, Resulting Numbers: [4230]
4230,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 93:[45, 24], Operations: ['70/2=35', '59-35=24']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,93 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 93:[59, 10], Operations: ['70/2=35', '45-35=10']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,93 unequal: No Solution
Exploring Operation: 59*10=590, Resulting Numbers: [590]
590,93 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: 93:[2, 34], Operations: ['70-59=11', '45-11=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[2, 34], Operations: ['70-45=25', '59-25=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,93 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[2, 84], Operations: ['70-45=25', '59+25=84']
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,93 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Moving to Node #0,1,4
Current State: 93:[11, 90], Operations: ['70-59=11', '45*2=90']
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Exploring Operation: 11+90=101, Resulting Numbers: [101]
101,93 unequal: No Solution
Exploring Operation: 11*90=990, Resulting Numbers: [990]
990,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[11, 43], Operations: ['70-59=11', '45-2=43']
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 11*43=473, Resulting Numbers: [473]
473,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[45, 9], Operations: ['70-59=11', '11-2=9']
Exploring Operation: 45*9=405, Resulting Numbers: [405]
405,93 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[45, 22], Operations: ['70-59=11', '2*11=22']
Exploring Operation: 45+22=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 45*22=990, Resulting Numbers: [990]
990,93 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Moving to Node #0,4,3
Current State: 93:[25, 118], Operations: ['70-45=25', '59*2=118']
Exploring Operation: 118-25=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[59, 45, 70, 2], Operations: []
Exploring Operation: 70-45=25, Resulting Numbers: [59, 2, 25]
Generated Node #0,4: 93:[59, 2, 25] Operation: 70-45=25
Moving to Node #0,4
Current State: 93:[59, 2, 25], Operations: ['70-45=25']
Exploring Operation: 59*2=118, Resulting Numbers: [25, 118]
Generated Node #0,4,3: 93:[25, 118] Operation: 59*2=118
Moving to Node #0,4,3
Current State: 93:[25, 118], Operations: ['70-45=25', '59*2=118']
Exploring Operation: 118-25=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.90625 | hs_5 | sum_heuristic |
[
2,
21,
84,
54
] | 14 | [
"2+54=56",
"84/21=4",
"56/4=14"
] | Current State: 14:[2, 21, 84, 54], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [21, 84, 56]
Generated Node #2: [21, 84, 56] from Operation: 2+54=56
Current State: 14:[21, 84, 56], Operations: ['2+54=56']
Exploring Operation: 84/21=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 84/21=4
Current State: 14:[56, 4], Operations: ['2+54=56', '84/21=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[2, 21, 84, 54], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [2, 54, 4]
Generated Node #0,0: 14:[2, 54, 4] Operation: 84/21=4
Exploring Operation: 84-54=30, Resulting Numbers: [2, 21, 30]
Generated Node #0,1: 14:[2, 21, 30] Operation: 84-54=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[2, 21, 30], Operations: ['84-54=30']
Exploring Operation: 30-21=9, Resulting Numbers: [2, 9]
Generated Node #0,1,0: 14:[2, 9] Operation: 30-21=9
Exploring Operation: 30/2=15, Resulting Numbers: [21, 15]
Generated Node #0,1,1: 14:[21, 15] Operation: 30/2=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[2, 9], Operations: ['84-54=30', '30-21=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[21, 15], Operations: ['84-54=30', '30/2=15']
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[2, 54, 4], Operations: ['84/21=4']
Exploring Operation: 54-4=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 14:[2, 50] Operation: 54-4=50
Exploring Operation: 54/2=27, Resulting Numbers: [4, 27]
Generated Node #0,0,1: 14:[4, 27] Operation: 54/2=27
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[4, 27], Operations: ['84/21=4', '54/2=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[2, 50], Operations: ['84/21=4', '54-4=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
85,
51,
71,
2
] | 35 | [
"85-51=34",
"71-2=69",
"69-34=35"
] | Current State: 35:[85, 51, 71, 2], Operations: []
Exploring Operation: 85-51=34, Resulting Numbers: [71, 2, 34]
Generated Node #2: [71, 2, 34] from Operation: 85-51=34
Current State: 35:[71, 2, 34], Operations: ['85-51=34']
Exploring Operation: 71-2=69, Resulting Numbers: [34, 69]
Generated Node #3: [34, 69] from Operation: 71-2=69
Current State: 35:[34, 69], Operations: ['85-51=34', '71-2=69']
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[85, 51, 71, 2], Operations: []
Exploring Operation: 85-51=34, Resulting Numbers: [71, 2, 34]
Generated Node #0,0: 35:[71, 2, 34] Operation: 85-51=34
Exploring Operation: 85-71=14, Resulting Numbers: [51, 2, 14]
Generated Node #0,1: 35:[51, 2, 14] Operation: 85-71=14
Exploring Operation: 85-2=83, Resulting Numbers: [51, 71, 83]
Generated Node #0,2: 35:[51, 71, 83] Operation: 85-2=83
Exploring Operation: 71-51=20, Resulting Numbers: [85, 2, 20]
Generated Node #0,3: 35:[85, 2, 20] Operation: 71-51=20
Moving to Node #0,1
Current State: 35:[51, 2, 14], Operations: ['85-71=14']
Exploring Operation: 14-2=12, Resulting Numbers: [51, 12]
Generated Node #0,1,0: 35:[51, 12] Operation: 14-2=12
Exploring Operation: 14/2=7, Resulting Numbers: [51, 7]
Generated Node #0,1,1: 35:[51, 7] Operation: 14/2=7
Exploring Operation: 51-14=37, Resulting Numbers: [2, 37]
Generated Node #0,1,2: 35:[2, 37] Operation: 51-14=37
Exploring Operation: 51-2=49, Resulting Numbers: [14, 49]
Generated Node #0,1,3: 35:[14, 49] Operation: 51-2=49
Moving to Node #0,0
Current State: 35:[71, 2, 34], Operations: ['85-51=34']
Exploring Operation: 71-34=37, Resulting Numbers: [2, 37]
Generated Node #0,0,0: 35:[2, 37] Operation: 71-34=37
Exploring Operation: 71-2=69, Resulting Numbers: [34, 69]
Generated Node #0,0,1: 35:[34, 69] Operation: 71-2=69
Exploring Operation: 2+34=36, Resulting Numbers: [71, 36]
Generated Node #0,0,2: 35:[71, 36] Operation: 2+34=36
Exploring Operation: 71+2=73, Resulting Numbers: [34, 73]
Generated Node #0,0,3: 35:[34, 73] Operation: 71+2=73
Moving to Node #0,3
Current State: 35:[85, 2, 20], Operations: ['71-51=20']
Exploring Operation: 20/2=10, Resulting Numbers: [85, 10]
Generated Node #0,3,0: 35:[85, 10] Operation: 20/2=10
Exploring Operation: 85-2=83, Resulting Numbers: [20, 83]
Generated Node #0,3,1: 35:[20, 83] Operation: 85-2=83
Exploring Operation: 2*20=40, Resulting Numbers: [85, 40]
Generated Node #0,3,2: 35:[85, 40] Operation: 2*20=40
Exploring Operation: 85-20=65, Resulting Numbers: [2, 65]
Generated Node #0,3,3: 35:[2, 65] Operation: 85-20=65
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[2, 65], Operations: ['71-51=20', '85-20=65']
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,35 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,35 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,35 unequal: No Solution
No 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: 35:[85, 10], Operations: ['71-51=20', '20/2=10']
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,35 unequal: No Solution
Exploring Operation: 85*10=850, Resulting Numbers: [850]
850,35 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,35 unequal: No Solution
No 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: 35:[85, 40], Operations: ['71-51=20', '2*20=40']
Exploring Operation: 85+40=125, Resulting Numbers: [125]
125,35 unequal: No Solution
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 85*40=3400, Resulting Numbers: [3400]
3400,35 unequal: No Solution
No 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: 35:[20, 83], Operations: ['71-51=20', '85-2=83']
Exploring Operation: 20*83=1660, Resulting Numbers: [1660]
1660,35 unequal: No Solution
Exploring Operation: 20+83=103, Resulting Numbers: [103]
103,35 unequal: No Solution
Exploring Operation: 83-20=63, Resulting Numbers: [63]
63,35 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: 35:[51, 71, 83], Operations: ['85-2=83']
Exploring Operation: 83-51=32, Resulting Numbers: [71, 32]
Generated Node #0,2,0: 35:[71, 32] Operation: 83-51=32
Exploring Operation: 83-71=12, Resulting Numbers: [51, 12]
Generated Node #0,2,1: 35:[51, 12] Operation: 83-71=12
Exploring Operation: 51+71=122, Resulting Numbers: [83, 122]
Generated Node #0,2,2: 35:[83, 122] Operation: 51+71=122
Exploring Operation: 71-51=20, Resulting Numbers: [83, 20]
Generated Node #0,2,3: 35:[83, 20] Operation: 71-51=20
Moving to Node #0,1,2
Current State: 35:[2, 37], Operations: ['85-71=14', '51-14=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[85, 51, 71, 2], Operations: []
Exploring Operation: 85-71=14, Resulting Numbers: [51, 2, 14]
Generated Node #0,1: 35:[51, 2, 14] Operation: 85-71=14
Moving to Node #0,1
Current State: 35:[51, 2, 14], Operations: ['85-71=14']
Exploring Operation: 51-14=37, Resulting Numbers: [2, 37]
Generated Node #0,1,2: 35:[2, 37] Operation: 51-14=37
Moving to Node #0,1,2
Current State: 35:[2, 37], Operations: ['85-71=14', '51-14=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.967882 | hs_4 | mult_heuristic |
[
56,
41,
53,
62
] | 100 | [
"56-41=15",
"53+62=115",
"115-15=100"
] | Current State: 100:[56, 41, 53, 62], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [53, 62, 15]
Generated Node #2: [53, 62, 15] from Operation: 56-41=15
Current State: 100:[53, 62, 15], Operations: ['56-41=15']
Exploring Operation: 53+62=115, Resulting Numbers: [15, 115]
Generated Node #3: [15, 115] from Operation: 53+62=115
Current State: 100:[15, 115], Operations: ['56-41=15', '53+62=115']
Exploring Operation: 115-15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[56, 41, 53, 62], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [41, 53, 6]
Generated Node #0,0: 100:[41, 53, 6] Operation: 62-56=6
Exploring Operation: 41+62=103, Resulting Numbers: [56, 53, 103]
Generated Node #0,1: 100:[56, 53, 103] Operation: 41+62=103
Exploring Operation: 62-41=21, Resulting Numbers: [56, 53, 21]
Generated Node #0,2: 100:[56, 53, 21] Operation: 62-41=21
Moving to Node #0,2
Current State: 100:[56, 53, 21], Operations: ['62-41=21']
Exploring Operation: 56-53=3, Resulting Numbers: [21, 3]
Generated Node #0,2,0: 100:[21, 3] Operation: 56-53=3
Exploring Operation: 56-21=35, Resulting Numbers: [53, 35]
Generated Node #0,2,1: 100:[53, 35] Operation: 56-21=35
Exploring Operation: 56+53=109, Resulting Numbers: [21, 109]
Generated Node #0,2,2: 100:[21, 109] Operation: 56+53=109
Moving to Node #0,1
Current State: 100:[56, 53, 103], Operations: ['41+62=103']
Exploring Operation: 103-53=50, Resulting Numbers: [56, 50]
Generated Node #0,1,0: 100:[56, 50] Operation: 103-53=50
Exploring Operation: 56-53=3, Resulting Numbers: [103, 3]
Generated Node #0,1,1: 100:[103, 3] Operation: 56-53=3
Exploring Operation: 103-56=47, Resulting Numbers: [53, 47]
Generated Node #0,1,2: 100:[53, 47] Operation: 103-56=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[103, 3], Operations: ['41+62=103', '56-53=3']
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[56, 41, 53, 62], Operations: []
Exploring Operation: 41+62=103, Resulting Numbers: [56, 53, 103]
Generated Node #0,1: 100:[56, 53, 103] Operation: 41+62=103
Moving to Node #0,1
Current State: 100:[56, 53, 103], Operations: ['41+62=103']
Exploring Operation: 56-53=3, Resulting Numbers: [103, 3]
Generated Node #0,1,1: 100:[103, 3] Operation: 56-53=3
Moving to Node #0,1,1
Current State: 100:[103, 3], Operations: ['41+62=103', '56-53=3']
Exploring Operation: 103-3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
71,
3,
46,
71
] | 96 | [
"71*3=213",
"46+71=117",
"213-117=96"
] | Current State: 96:[71, 3, 46, 71], Operations: []
Exploring Operation: 71*3=213, Resulting Numbers: [46, 213]
Generated Node #2: [46, 213] from Operation: 71*3=213
Current State: 96:[46, 213], Operations: ['71*3=213']
Exploring Operation: 46+71=117, Resulting Numbers: [213, 117]
Generated Node #3: [213, 117] from Operation: 46+71=117
Current State: 96:[213, 117], Operations: ['71*3=213', '46+71=117']
Exploring Operation: 213-117=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[71, 3, 46, 71], Operations: []
Exploring Operation: 71/71=1, Resulting Numbers: [3, 46, 1]
Generated Node #0,0: 96:[3, 46, 1] Operation: 71/71=1
Exploring Operation: 71-46=25, Resulting Numbers: [3, 71, 25]
Generated Node #0,1: 96:[3, 71, 25] Operation: 71-46=25
Exploring Operation: 71-46=25, Resulting Numbers: [71, 3, 25]
Generated Node #0,2: 96:[71, 3, 25] Operation: 71-46=25
Exploring Operation: 71-71=0, Resulting Numbers: [3, 46, 0]
Generated Node #0,3: 96:[3, 46, 0] Operation: 71-71=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[3, 46, 1], Operations: ['71/71=1']
Exploring Operation: 46+1=47, Resulting Numbers: [3, 47]
Generated Node #0,0,0: 96:[3, 47] Operation: 46+1=47
Exploring Operation: 3+46=49, Resulting Numbers: [1, 49]
Generated Node #0,0,1: 96:[1, 49] Operation: 3+46=49
Exploring Operation: 3+1=4, Resulting Numbers: [46, 4]
Generated Node #0,0,2: 96:[46, 4] Operation: 3+1=4
Exploring Operation: 3*1=3, Resulting Numbers: [46, 3]
Generated Node #0,0,3: 96:[46, 3] Operation: 3*1=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[3, 47], Operations: ['71/71=1', '46+1=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,96 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No 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: 96:[1, 49], Operations: ['71/71=1', '3+46=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 1*49=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 1+49=50, Resulting Numbers: [50]
50,96 unequal: No Solution
No 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: 96:[46, 4], Operations: ['71/71=1', '3+1=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,96 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,96 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,96 unequal: No Solution
No 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: 96:[46, 3], Operations: ['71/71=1', '3*1=3']
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,96 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,96 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: 96:[3, 46, 0], Operations: ['71-71=0']
Exploring Operation: 3-0=3, Resulting Numbers: [46, 3]
Generated Node #0,3,0: 96:[46, 3] Operation: 3-0=3
Exploring Operation: 46+0=46, Resulting Numbers: [3, 46]
Generated Node #0,3,1: 96:[3, 46] Operation: 46+0=46
Exploring Operation: 46*0=0, Resulting Numbers: [3, 0]
Generated Node #0,3,2: 96:[3, 0] Operation: 46*0=0
Exploring Operation: 3+0=3, Resulting Numbers: [46, 3]
Generated Node #0,3,3: 96:[46, 3] Operation: 3+0=3
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 96:[46, 3], Operations: ['71-71=0', '3-0=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,96 unequal: No Solution
No 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: 96:[3, 46], Operations: ['71-71=0', '46+0=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,96 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 96:[3, 0], Operations: ['71-71=0', '46*0=0']
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,96 unequal: No Solution
No 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: 96:[46, 3], Operations: ['71-71=0', '3+0=3']
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,96 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,96 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: 96:[3, 71, 25], Operations: ['71-46=25']
Exploring Operation: 71+25=96, Resulting Numbers: [3, 96]
Generated Node #0,1,0: 96:[3, 96] Operation: 71+25=96
Exploring Operation: 71-3=68, Resulting Numbers: [25, 68]
Generated Node #0,1,1: 96:[25, 68] Operation: 71-3=68
Exploring Operation: 71-25=46, Resulting Numbers: [3, 46]
Generated Node #0,1,2: 96:[3, 46] Operation: 71-25=46
Exploring Operation: 3+71=74, Resulting Numbers: [25, 74]
Generated Node #0,1,3: 96:[25, 74] Operation: 3+71=74
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[3, 96], Operations: ['71-46=25', '71+25=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,96 unequal: No Solution
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,96 unequal: No Solution
Exploring Operation: 3*96=288, Resulting Numbers: [288]
288,96 unequal: No Solution
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,96 unequal: No Solution
No 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: 96:[3, 46], Operations: ['71-46=25', '71-25=46']
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,96 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,96 unequal: No Solution
No 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: 96:[25, 68], Operations: ['71-46=25', '71-3=68']
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,96 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,96 unequal: No Solution
No 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: 96:[25, 74], Operations: ['71-46=25', '3+71=74']
Exploring Operation: 25*74=1850, Resulting Numbers: [1850]
1850,96 unequal: No Solution
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,96 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: 96:[71, 3, 25], Operations: ['71-46=25']
Exploring Operation: 71-3=68, Resulting Numbers: [25, 68]
Generated Node #0,2,0: 96:[25, 68] Operation: 71-3=68
Exploring Operation: 71+3=74, Resulting Numbers: [25, 74]
Generated Node #0,2,1: 96:[25, 74] Operation: 71+3=74
Exploring Operation: 71-25=46, Resulting Numbers: [3, 46]
Generated Node #0,2,2: 96:[3, 46] Operation: 71-25=46
Exploring Operation: 71+25=96, Resulting Numbers: [3, 96]
Generated Node #0,2,3: 96:[3, 96] Operation: 71+25=96
Moving to Node #0,2,3
Current State: 96:[3, 96], Operations: ['71-46=25', '71+25=96']
Exploring Operation: 3*96=288, Resulting Numbers: [288]
288,96 unequal: No Solution
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,96 unequal: No Solution
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,96 unequal: No Solution
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Moving to Node #0,2,2
Current State: 96:[3, 46], Operations: ['71-46=25', '71-25=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,96 unequal: No Solution
Moving to Node #0,2,0
Current State: 96:[25, 68], Operations: ['71-46=25', '71-3=68']
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[25, 74], Operations: ['71-46=25', '71+3=74']
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,96 unequal: No Solution
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 25*74=1850, Resulting Numbers: [1850]
1850,96 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 |
[
13,
6,
82,
16
] | 84 | [
"16-13=3",
"6/3=2",
"82+2=84"
] | Current State: 84:[13, 6, 82, 16], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [6, 82, 3]
Generated Node #2: [6, 82, 3] from Operation: 16-13=3
Current State: 84:[6, 82, 3], Operations: ['16-13=3']
Exploring Operation: 6/3=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 6/3=2
Current State: 84:[82, 2], Operations: ['16-13=3', '6/3=2']
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[13, 6, 82, 16], Operations: []
Exploring Operation: 13+16=29, Resulting Numbers: [6, 82, 29]
Generated Node #0,0: 84:[6, 82, 29] Operation: 13+16=29
Exploring Operation: 16-13=3, Resulting Numbers: [6, 82, 3]
Generated Node #0,1: 84:[6, 82, 3] Operation: 16-13=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[6, 82, 3], Operations: ['16-13=3']
Exploring Operation: 82+3=85, Resulting Numbers: [6, 85]
Generated Node #0,1,0: 84:[6, 85] Operation: 82+3=85
Exploring Operation: 6-3=3, Resulting Numbers: [82, 3]
Generated Node #0,1,1: 84:[82, 3] Operation: 6-3=3
Moving to Node #0,1,0
Current State: 84:[6, 85], Operations: ['16-13=3', '82+3=85']
Exploring Operation: 6+85=91, Resulting Numbers: [91]
91,84 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[82, 3], Operations: ['16-13=3', '6-3=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,84 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[6, 82, 29], Operations: ['13+16=29']
Exploring Operation: 29-6=23, Resulting Numbers: [82, 23]
Generated Node #0,0,0: 84:[82, 23] Operation: 29-6=23
Exploring Operation: 6+82=88, Resulting Numbers: [29, 88]
Generated Node #0,0,1: 84:[29, 88] Operation: 6+82=88
Moving to Node #0,0,0
Current State: 84:[82, 23], Operations: ['13+16=29', '29-6=23']
Exploring Operation: 82+23=105, Resulting Numbers: [105]
105,84 unequal: No Solution
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[29, 88], Operations: ['13+16=29', '6+82=88']
Exploring Operation: 88-29=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 29+88=117, Resulting Numbers: [117]
117,84 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 |
[
30,
6,
90,
15
] | 51 | [
"30-6=24",
"90-15=75",
"75-24=51"
] | Current State: 51:[30, 6, 90, 15], Operations: []
Exploring Operation: 30-6=24, Resulting Numbers: [90, 15, 24]
Generated Node #2: [90, 15, 24] from Operation: 30-6=24
Current State: 51:[90, 15, 24], Operations: ['30-6=24']
Exploring Operation: 90-15=75, Resulting Numbers: [24, 75]
Generated Node #3: [24, 75] from Operation: 90-15=75
Current State: 51:[24, 75], Operations: ['30-6=24', '90-15=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[30, 6, 90, 15], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [6, 15, 3]
Generated Node #0,0: 51:[6, 15, 3] Operation: 90/30=3
Exploring Operation: 90-30=60, Resulting Numbers: [6, 15, 60]
Generated Node #0,1: 51:[6, 15, 60] Operation: 90-30=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[6, 15, 3], Operations: ['90/30=3']
Exploring Operation: 6-3=3, Resulting Numbers: [15, 3]
Generated Node #0,0,0: 51:[15, 3] Operation: 6-3=3
Exploring Operation: 6*3=18, Resulting Numbers: [15, 18]
Generated Node #0,0,1: 51:[15, 18] Operation: 6*3=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[15, 3], Operations: ['90/30=3', '6-3=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[15, 18], Operations: ['90/30=3', '6*3=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,51 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[6, 15, 60], Operations: ['90-30=60']
Exploring Operation: 60/15=4, Resulting Numbers: [6, 4]
Generated Node #0,1,0: 51:[6, 4] Operation: 60/15=4
Exploring Operation: 60-6=54, Resulting Numbers: [15, 54]
Generated Node #0,1,1: 51:[15, 54] Operation: 60-6=54
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[6, 4], Operations: ['90-30=60', '60/15=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[15, 54], Operations: ['90-30=60', '60-6=54']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 15+54=69, Resulting Numbers: [69]
69,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
58,
72,
45
] | 39 | [
"58-46=12",
"72-45=27",
"12+27=39"
] | Current State: 39:[46, 58, 72, 45], Operations: []
Exploring Operation: 58-46=12, Resulting Numbers: [72, 45, 12]
Generated Node #2: [72, 45, 12] from Operation: 58-46=12
Current State: 39:[72, 45, 12], Operations: ['58-46=12']
Exploring Operation: 72-45=27, Resulting Numbers: [12, 27]
Generated Node #3: [12, 27] from Operation: 72-45=27
Current State: 39:[12, 27], Operations: ['58-46=12', '72-45=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[46, 58, 72, 45], Operations: []
Exploring Operation: 58-46=12, Resulting Numbers: [72, 45, 12]
Generated Node #0,0: 39:[72, 45, 12] Operation: 58-46=12
Exploring Operation: 72-58=14, Resulting Numbers: [46, 45, 14]
Generated Node #0,1: 39:[46, 45, 14] Operation: 72-58=14
Exploring Operation: 72-46=26, Resulting Numbers: [58, 45, 26]
Generated Node #0,2: 39:[58, 45, 26] Operation: 72-46=26
Exploring Operation: 72-45=27, Resulting Numbers: [46, 58, 27]
Generated Node #0,3: 39:[46, 58, 27] Operation: 72-45=27
Moving to Node #0,1
Current State: 39:[46, 45, 14], Operations: ['72-58=14']
Exploring Operation: 46+14=60, Resulting Numbers: [45, 60]
Generated Node #0,1,0: 39:[45, 60] Operation: 46+14=60
Exploring Operation: 46-14=32, Resulting Numbers: [45, 32]
Generated Node #0,1,1: 39:[45, 32] Operation: 46-14=32
Exploring Operation: 45-14=31, Resulting Numbers: [46, 31]
Generated Node #0,1,2: 39:[46, 31] Operation: 45-14=31
Exploring Operation: 46-45=1, Resulting Numbers: [14, 1]
Generated Node #0,1,3: 39:[14, 1] Operation: 46-45=1
Moving to Node #0,3
Current State: 39:[46, 58, 27], Operations: ['72-45=27']
Exploring Operation: 58-27=31, Resulting Numbers: [46, 31]
Generated Node #0,3,0: 39:[46, 31] Operation: 58-27=31
Exploring Operation: 58-46=12, Resulting Numbers: [27, 12]
Generated Node #0,3,1: 39:[27, 12] Operation: 58-46=12
Exploring Operation: 46-27=19, Resulting Numbers: [58, 19]
Generated Node #0,3,2: 39:[58, 19] Operation: 46-27=19
Exploring Operation: 46+27=73, Resulting Numbers: [58, 73]
Generated Node #0,3,3: 39:[58, 73] Operation: 46+27=73
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 39:[27, 12], Operations: ['72-45=27', '58-46=12']
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[46, 58, 72, 45], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [46, 58, 27]
Generated Node #0,3: 39:[46, 58, 27] Operation: 72-45=27
Moving to Node #0,3
Current State: 39:[46, 58, 27], Operations: ['72-45=27']
Exploring Operation: 58-46=12, Resulting Numbers: [27, 12]
Generated Node #0,3,1: 39:[27, 12] Operation: 58-46=12
Moving to Node #0,3,1
Current State: 39:[27, 12], Operations: ['72-45=27', '58-46=12']
Exploring Operation: 27+12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
56,
39,
21,
8
] | 59 | [
"21-8=13",
"39/13=3",
"56+3=59"
] | Current State: 59:[56, 39, 21, 8], Operations: []
Exploring Operation: 21-8=13, Resulting Numbers: [56, 39, 13]
Generated Node #2: [56, 39, 13] from Operation: 21-8=13
Current State: 59:[56, 39, 13], Operations: ['21-8=13']
Exploring Operation: 39/13=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 39/13=3
Current State: 59:[56, 3], Operations: ['21-8=13', '39/13=3']
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[56, 39, 21, 8], Operations: []
Exploring Operation: 21+8=29, Resulting Numbers: [56, 39, 29]
Generated Node #0,0: 59:[56, 39, 29] Operation: 21+8=29
Exploring Operation: 39+21=60, Resulting Numbers: [56, 8, 60]
Generated Node #0,1: 59:[56, 8, 60] Operation: 39+21=60
Exploring Operation: 39+8=47, Resulting Numbers: [56, 21, 47]
Generated Node #0,2: 59:[56, 21, 47] Operation: 39+8=47
Moving to Node #0,0
Current State: 59:[56, 39, 29], Operations: ['21+8=29']
Exploring Operation: 56-29=27, Resulting Numbers: [39, 27]
Generated Node #0,0,0: 59:[39, 27] Operation: 56-29=27
Exploring Operation: 39+29=68, Resulting Numbers: [56, 68]
Generated Node #0,0,1: 59:[56, 68] Operation: 39+29=68
Exploring Operation: 56+29=85, Resulting Numbers: [39, 85]
Generated Node #0,0,2: 59:[39, 85] Operation: 56+29=85
Moving to Node #0,2
Current State: 59:[56, 21, 47], Operations: ['39+8=47']
Exploring Operation: 21+47=68, Resulting Numbers: [56, 68]
Generated Node #0,2,0: 59:[56, 68] Operation: 21+47=68
Exploring Operation: 56+21=77, Resulting Numbers: [47, 77]
Generated Node #0,2,1: 59:[47, 77] Operation: 56+21=77
Exploring Operation: 56-21=35, Resulting Numbers: [47, 35]
Generated Node #0,2,2: 59:[47, 35] Operation: 56-21=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[56, 68], Operations: ['39+8=47', '21+47=68']
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,59 unequal: No Solution
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[47, 77], Operations: ['39+8=47', '56+21=77']
Exploring Operation: 47*77=3619, Resulting Numbers: [3619]
3619,59 unequal: No Solution
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,59 unequal: No Solution
Exploring Operation: 47+77=124, Resulting Numbers: [124]
124,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 59:[47, 35], Operations: ['39+8=47', '56-21=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,59 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,59 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: 59:[56, 8, 60], Operations: ['39+21=60']
Exploring Operation: 60-8=52, Resulting Numbers: [56, 52]
Generated Node #0,1,0: 59:[56, 52] Operation: 60-8=52
Exploring Operation: 56+8=64, Resulting Numbers: [60, 64]
Generated Node #0,1,1: 59:[60, 64] Operation: 56+8=64
Exploring Operation: 56-8=48, Resulting Numbers: [60, 48]
Generated Node #0,1,2: 59:[60, 48] Operation: 56-8=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[60, 64], Operations: ['39+21=60', '56+8=64']
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,59 unequal: No Solution
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,59 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,59 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 #0,1,0
Current State: 59:[56, 52], Operations: ['39+21=60', '60-8=52']
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 56*52=2912, Resulting Numbers: [2912]
2912,59 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 #0,1,2
Current State: 59:[60, 48], Operations: ['39+21=60', '56-8=48']
Exploring Operation: 60+48=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 60*48=2880, Resulting Numbers: [2880]
2880,59 unequal: No Solution
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 59:[56, 68], Operations: ['21+8=29', '39+29=68']
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,59 unequal: No Solution
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,59 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[39, 85], Operations: ['21+8=29', '56+29=85']
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,59 unequal: No Solution
Exploring Operation: 39+85=124, Resulting Numbers: [124]
124,59 unequal: No Solution
Exploring Operation: 39*85=3315, Resulting Numbers: [3315]
3315,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[39, 27], Operations: ['21+8=29', '56-29=27']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,59 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,59 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
20,
7,
61,
2
] | 24 | [
"20-7=13",
"61-13=48",
"48/2=24"
] | Current State: 24:[20, 7, 61, 2], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [61, 2, 13]
Generated Node #2: [61, 2, 13] from Operation: 20-7=13
Current State: 24:[61, 2, 13], Operations: ['20-7=13']
Exploring Operation: 61-13=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 61-13=48
Current State: 24:[2, 48], Operations: ['20-7=13', '61-13=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[20, 7, 61, 2], Operations: []
Exploring Operation: 20+7=27, Resulting Numbers: [61, 2, 27]
Generated Node #0,0: 24:[61, 2, 27] Operation: 20+7=27
Exploring Operation: 61-20=41, Resulting Numbers: [7, 2, 41]
Generated Node #0,1: 24:[7, 2, 41] Operation: 61-20=41
Exploring Operation: 61-7=54, Resulting Numbers: [20, 2, 54]
Generated Node #0,2: 24:[20, 2, 54] Operation: 61-7=54
Exploring Operation: 20-7=13, Resulting Numbers: [61, 2, 13]
Generated Node #0,3: 24:[61, 2, 13] Operation: 20-7=13
Exploring Operation: 20+2=22, Resulting Numbers: [7, 61, 22]
Generated Node #0,4: 24:[7, 61, 22] Operation: 20+2=22
Moving to Node #0,1
Current State: 24:[7, 2, 41], Operations: ['61-20=41']
Exploring Operation: 7-2=5, Resulting Numbers: [41, 5]
Generated Node #0,1,0: 24:[41, 5] Operation: 7-2=5
Exploring Operation: 7+2=9, Resulting Numbers: [41, 9]
Generated Node #0,1,1: 24:[41, 9] Operation: 7+2=9
Exploring Operation: 41-7=34, Resulting Numbers: [2, 34]
Generated Node #0,1,2: 24:[2, 34] Operation: 41-7=34
Exploring Operation: 7*2=14, Resulting Numbers: [41, 14]
Generated Node #0,1,3: 24:[41, 14] Operation: 7*2=14
Exploring Operation: 41-2=39, Resulting Numbers: [7, 39]
Generated Node #0,1,4: 24:[7, 39] Operation: 41-2=39
Moving to Node #0,2
Current State: 24:[20, 2, 54], Operations: ['61-7=54']
Exploring Operation: 20/2=10, Resulting Numbers: [54, 10]
Generated Node #0,2,0: 24:[54, 10] Operation: 20/2=10
Exploring Operation: 20+2=22, Resulting Numbers: [54, 22]
Generated Node #0,2,1: 24:[54, 22] Operation: 20+2=22
Exploring Operation: 54-20=34, Resulting Numbers: [2, 34]
Generated Node #0,2,2: 24:[2, 34] Operation: 54-20=34
Exploring Operation: 54/2=27, Resulting Numbers: [20, 27]
Generated Node #0,2,3: 24:[20, 27] Operation: 54/2=27
Exploring Operation: 54-2=52, Resulting Numbers: [20, 52]
Generated Node #0,2,4: 24:[20, 52] Operation: 54-2=52
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[20, 27], Operations: ['61-7=54', '54/2=27']
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[2, 34], Operations: ['61-7=54', '54-20=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,24 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,24 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[54, 10], Operations: ['61-7=54', '20/2=10']
Exploring Operation: 54*10=540, Resulting Numbers: [540]
540,24 unequal: No Solution
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,24 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[54, 22], Operations: ['61-7=54', '20+2=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,24 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,24 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 24:[20, 52], Operations: ['61-7=54', '54-2=52']
Exploring Operation: 20+52=72, Resulting Numbers: [72]
72,24 unequal: No Solution
Exploring Operation: 20*52=1040, Resulting Numbers: [1040]
1040,24 unequal: No Solution
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,24 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: 24:[61, 2, 13], Operations: ['20-7=13']
Exploring Operation: 61-13=48, Resulting Numbers: [2, 48]
Generated Node #0,3,0: 24:[2, 48] Operation: 61-13=48
Exploring Operation: 13-2=11, Resulting Numbers: [61, 11]
Generated Node #0,3,1: 24:[61, 11] Operation: 13-2=11
Exploring Operation: 61+2=63, Resulting Numbers: [13, 63]
Generated Node #0,3,2: 24:[13, 63] Operation: 61+2=63
Exploring Operation: 2*13=26, Resulting Numbers: [61, 26]
Generated Node #0,3,3: 24:[61, 26] Operation: 2*13=26
Exploring Operation: 61-2=59, Resulting Numbers: [13, 59]
Generated Node #0,3,4: 24:[13, 59] Operation: 61-2=59
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[2, 48], Operations: ['20-7=13', '61-13=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[20, 7, 61, 2], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [61, 2, 13]
Generated Node #0,3: 24:[61, 2, 13] Operation: 20-7=13
Moving to Node #0,3
Current State: 24:[61, 2, 13], Operations: ['20-7=13']
Exploring Operation: 61-13=48, Resulting Numbers: [2, 48]
Generated Node #0,3,0: 24:[2, 48] Operation: 61-13=48
Moving to Node #0,3,0
Current State: 24:[2, 48], Operations: ['20-7=13', '61-13=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
36,
32,
80,
10
] | 61 | [
"80*10=800",
"800/32=25",
"36+25=61"
] | Current State: 61:[36, 32, 80, 10], Operations: []
Exploring Operation: 80*10=800, Resulting Numbers: [36, 32, 800]
Generated Node #2: [36, 32, 800] from Operation: 80*10=800
Current State: 61:[36, 32, 800], Operations: ['80*10=800']
Exploring Operation: 800/32=25, Resulting Numbers: [36, 25]
Generated Node #3: [36, 25] from Operation: 800/32=25
Current State: 61:[36, 25], Operations: ['80*10=800', '800/32=25']
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[36, 32, 80, 10], Operations: []
Exploring Operation: 36+10=46, Resulting Numbers: [32, 80, 46]
Generated Node #0,0: 61:[32, 80, 46] Operation: 36+10=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[32, 80, 46], Operations: ['36+10=46']
Exploring Operation: 80-32=48, Resulting Numbers: [46, 48]
Generated Node #0,0,0: 61:[46, 48] Operation: 80-32=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[46, 48], Operations: ['36+10=46', '80-32=48']
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
14,
9,
90,
47
] | 51 | [
"14+47=61",
"90/9=10",
"61-10=51"
] | Current State: 51:[14, 9, 90, 47], Operations: []
Exploring Operation: 14+47=61, Resulting Numbers: [9, 90, 61]
Generated Node #2: [9, 90, 61] from Operation: 14+47=61
Current State: 51:[9, 90, 61], Operations: ['14+47=61']
Exploring Operation: 90/9=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 90/9=10
Current State: 51:[61, 10], Operations: ['14+47=61', '90/9=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[14, 9, 90, 47], Operations: []
Exploring Operation: 14-9=5, Resulting Numbers: [90, 47, 5]
Generated Node #0,0: 51:[90, 47, 5] Operation: 14-9=5
Exploring Operation: 90-9=81, Resulting Numbers: [14, 47, 81]
Generated Node #0,1: 51:[14, 47, 81] Operation: 90-9=81
Exploring Operation: 90-47=43, Resulting Numbers: [14, 9, 43]
Generated Node #0,2: 51:[14, 9, 43] Operation: 90-47=43
Exploring Operation: 90-14=76, Resulting Numbers: [9, 47, 76]
Generated Node #0,3: 51:[9, 47, 76] Operation: 90-14=76
Exploring Operation: 90/9=10, Resulting Numbers: [14, 47, 10]
Generated Node #0,4: 51:[14, 47, 10] Operation: 90/9=10
Start Sub Search at level 1: Moving to Node #0,4
Current State: 51:[14, 47, 10], Operations: ['90/9=10']
Exploring Operation: 14+10=24, Resulting Numbers: [47, 24]
Generated Node #0,4,0: 51:[47, 24] Operation: 14+10=24
Exploring Operation: 14-10=4, Resulting Numbers: [47, 4]
Generated Node #0,4,1: 51:[47, 4] Operation: 14-10=4
Exploring Operation: 14+47=61, Resulting Numbers: [10, 61]
Generated Node #0,4,2: 51:[10, 61] Operation: 14+47=61
Exploring Operation: 47+10=57, Resulting Numbers: [14, 57]
Generated Node #0,4,3: 51:[14, 57] Operation: 47+10=57
Exploring Operation: 47-10=37, Resulting Numbers: [14, 37]
Generated Node #0,4,4: 51:[14, 37] Operation: 47-10=37
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 51:[47, 4], Operations: ['90/9=10', '14-10=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[14, 9, 90, 47], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [14, 47, 10]
Generated Node #0,4: 51:[14, 47, 10] Operation: 90/9=10
Moving to Node #0,4
Current State: 51:[14, 47, 10], Operations: ['90/9=10']
Exploring Operation: 14-10=4, Resulting Numbers: [47, 4]
Generated Node #0,4,1: 51:[47, 4] Operation: 14-10=4
Moving to Node #0,4,1
Current State: 51:[47, 4], Operations: ['90/9=10', '14-10=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
92,
33,
47,
52
] | 25 | [
"92+33=125",
"52-47=5",
"125/5=25"
] | Current State: 25:[92, 33, 47, 52], Operations: []
Exploring Operation: 92+33=125, Resulting Numbers: [47, 52, 125]
Generated Node #2: [47, 52, 125] from Operation: 92+33=125
Current State: 25:[47, 52, 125], Operations: ['92+33=125']
Exploring Operation: 52-47=5, Resulting Numbers: [125, 5]
Generated Node #3: [125, 5] from Operation: 52-47=5
Current State: 25:[125, 5], Operations: ['92+33=125', '52-47=5']
Exploring Operation: 125/5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[92, 33, 47, 52], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [92, 33, 5]
Generated Node #0,0: 25:[92, 33, 5] Operation: 52-47=5
Exploring Operation: 92-52=40, Resulting Numbers: [33, 47, 40]
Generated Node #0,1: 25:[33, 47, 40] Operation: 92-52=40
Exploring Operation: 92-47=45, Resulting Numbers: [33, 52, 45]
Generated Node #0,2: 25:[33, 52, 45] Operation: 92-47=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[33, 47, 40], Operations: ['92-52=40']
Exploring Operation: 40-33=7, Resulting Numbers: [47, 7]
Generated Node #0,1,0: 25:[47, 7] Operation: 40-33=7
Exploring Operation: 47-33=14, Resulting Numbers: [40, 14]
Generated Node #0,1,1: 25:[40, 14] Operation: 47-33=14
Exploring Operation: 47-40=7, Resulting Numbers: [33, 7]
Generated Node #0,1,2: 25:[33, 7] Operation: 47-40=7
Moving to Node #0,1,2
Current State: 25:[33, 7], Operations: ['92-52=40', '47-40=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,25 unequal: No Solution
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[47, 7], Operations: ['92-52=40', '40-33=7']
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,25 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,25 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[40, 14], Operations: ['92-52=40', '47-33=14']
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,25 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[33, 52, 45], Operations: ['92-47=45']
Exploring Operation: 45-33=12, Resulting Numbers: [52, 12]
Generated Node #0,2,0: 25:[52, 12] Operation: 45-33=12
Exploring Operation: 52-45=7, Resulting Numbers: [33, 7]
Generated Node #0,2,1: 25:[33, 7] Operation: 52-45=7
Exploring Operation: 52-33=19, Resulting Numbers: [45, 19]
Generated Node #0,2,2: 25:[45, 19] Operation: 52-33=19
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[33, 7], Operations: ['92-47=45', '52-45=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,25 unequal: No Solution
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[45, 19], Operations: ['92-47=45', '52-33=19']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,25 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[52, 12], Operations: ['92-47=45', '45-33=12']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,25 unequal: No Solution
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[92, 33, 5], Operations: ['52-47=5']
Exploring Operation: 33-5=28, Resulting Numbers: [92, 28]
Generated Node #0,0,0: 25:[92, 28] Operation: 33-5=28
Exploring Operation: 92-33=59, Resulting Numbers: [5, 59]
Generated Node #0,0,1: 25:[5, 59] Operation: 92-33=59
Exploring Operation: 92-5=87, Resulting Numbers: [33, 87]
Generated Node #0,0,2: 25:[33, 87] Operation: 92-5=87
Moving to Node #0,0,1
Current State: 25:[5, 59], Operations: ['52-47=5', '92-33=59']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,25 unequal: No Solution
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[92, 28], Operations: ['52-47=5', '33-5=28']
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 92*28=2576, Resulting Numbers: [2576]
2576,25 unequal: No Solution
Exploring Operation: 92+28=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[33, 87], Operations: ['52-47=5', '92-5=87']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,25 unequal: No Solution
Exploring Operation: 33+87=120, Resulting Numbers: [120]
120,25 unequal: No Solution
Exploring Operation: 33*87=2871, Resulting Numbers: [2871]
2871,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
40,
39,
28,
33
] | 18 | [
"40+39=79",
"28+33=61",
"79-61=18"
] | Current State: 18:[40, 39, 28, 33], Operations: []
Exploring Operation: 40+39=79, Resulting Numbers: [28, 33, 79]
Generated Node #2: [28, 33, 79] from Operation: 40+39=79
Current State: 18:[28, 33, 79], Operations: ['40+39=79']
Exploring Operation: 28+33=61, Resulting Numbers: [79, 61]
Generated Node #3: [79, 61] from Operation: 28+33=61
Current State: 18:[79, 61], Operations: ['40+39=79', '28+33=61']
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[40, 39, 28, 33], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [28, 33, 1]
Generated Node #0,0: 18:[28, 33, 1] Operation: 40-39=1
Exploring Operation: 40-33=7, Resulting Numbers: [39, 28, 7]
Generated Node #0,1: 18:[39, 28, 7] Operation: 40-33=7
Exploring Operation: 39-33=6, Resulting Numbers: [40, 28, 6]
Generated Node #0,2: 18:[40, 28, 6] Operation: 39-33=6
Exploring Operation: 40-28=12, Resulting Numbers: [39, 33, 12]
Generated Node #0,3: 18:[39, 33, 12] Operation: 40-28=12
Moving to Node #0,0
Current State: 18:[28, 33, 1], Operations: ['40-39=1']
Exploring Operation: 28*1=28, Resulting Numbers: [33, 28]
Generated Node #0,0,0: 18:[33, 28] Operation: 28*1=28
Exploring Operation: 33-28=5, Resulting Numbers: [1, 5]
Generated Node #0,0,1: 18:[1, 5] Operation: 33-28=5
Exploring Operation: 33-1=32, Resulting Numbers: [28, 32]
Generated Node #0,0,2: 18:[28, 32] Operation: 33-1=32
Exploring Operation: 28-1=27, Resulting Numbers: [33, 27]
Generated Node #0,0,3: 18:[33, 27] Operation: 28-1=27
Moving to Node #0,2
Current State: 18:[40, 28, 6], Operations: ['39-33=6']
Exploring Operation: 40+6=46, Resulting Numbers: [28, 46]
Generated Node #0,2,0: 18:[28, 46] Operation: 40+6=46
Exploring Operation: 40-6=34, Resulting Numbers: [28, 34]
Generated Node #0,2,1: 18:[28, 34] Operation: 40-6=34
Exploring Operation: 40-28=12, Resulting Numbers: [6, 12]
Generated Node #0,2,2: 18:[6, 12] Operation: 40-28=12
Exploring Operation: 28-6=22, Resulting Numbers: [40, 22]
Generated Node #0,2,3: 18:[40, 22] Operation: 28-6=22
Moving to Node #0,1
Current State: 18:[39, 28, 7], Operations: ['40-33=7']
Exploring Operation: 28/7=4, Resulting Numbers: [39, 4]
Generated Node #0,1,0: 18:[39, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [39, 21]
Generated Node #0,1,1: 18:[39, 21] Operation: 28-7=21
Exploring Operation: 39-7=32, Resulting Numbers: [28, 32]
Generated Node #0,1,2: 18:[28, 32] Operation: 39-7=32
Exploring Operation: 39-28=11, Resulting Numbers: [7, 11]
Generated Node #0,1,3: 18:[7, 11] Operation: 39-28=11
Moving to Node #0,3
Current State: 18:[39, 33, 12], Operations: ['40-28=12']
Exploring Operation: 39+12=51, Resulting Numbers: [33, 51]
Generated Node #0,3,0: 18:[33, 51] Operation: 39+12=51
Exploring Operation: 39-33=6, Resulting Numbers: [12, 6]
Generated Node #0,3,1: 18:[12, 6] Operation: 39-33=6
Exploring Operation: 39-12=27, Resulting Numbers: [33, 27]
Generated Node #0,3,2: 18:[33, 27] Operation: 39-12=27
Exploring Operation: 33-12=21, Resulting Numbers: [39, 21]
Generated Node #0,3,3: 18:[39, 21] Operation: 33-12=21
Moving to Node #0,0,1
Current State: 18:[1, 5], Operations: ['40-39=1', '33-28=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[12, 6], Operations: ['40-28=12', '39-33=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[40, 39, 28, 33], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [39, 33, 12]
Generated Node #0,3: 18:[39, 33, 12] Operation: 40-28=12
Moving to Node #0,3
Current State: 18:[39, 33, 12], Operations: ['40-28=12']
Exploring Operation: 39-33=6, Resulting Numbers: [12, 6]
Generated Node #0,3,1: 18:[12, 6] Operation: 39-33=6
Moving to Node #0,3,1
Current State: 18:[12, 6], Operations: ['40-28=12', '39-33=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.974826 | hs_4 | mult_heuristic |
[
95,
83,
92,
93
] | 74 | [
"95-93=2",
"83*2=166",
"166-92=74"
] | Current State: 74:[95, 83, 92, 93], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [83, 92, 2]
Generated Node #2: [83, 92, 2] from Operation: 95-93=2
Current State: 74:[83, 92, 2], Operations: ['95-93=2']
Exploring Operation: 83*2=166, Resulting Numbers: [92, 166]
Generated Node #3: [92, 166] from Operation: 83*2=166
Current State: 74:[92, 166], Operations: ['95-93=2', '83*2=166']
Exploring Operation: 166-92=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[95, 83, 92, 93], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [83, 93, 3]
Generated Node #0,0: 74:[83, 93, 3] Operation: 95-92=3
Exploring Operation: 95-93=2, Resulting Numbers: [83, 92, 2]
Generated Node #0,1: 74:[83, 92, 2] Operation: 95-93=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[83, 92, 2], Operations: ['95-93=2']
Exploring Operation: 92-83=9, Resulting Numbers: [2, 9]
Generated Node #0,1,0: 74:[2, 9] Operation: 92-83=9
Exploring Operation: 92/2=46, Resulting Numbers: [83, 46]
Generated Node #0,1,1: 74:[83, 46] Operation: 92/2=46
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[2, 9], Operations: ['95-93=2', '92-83=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,74 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No 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: 74:[83, 46], Operations: ['95-93=2', '92/2=46']
Exploring Operation: 83+46=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,74 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: 74:[83, 93, 3], Operations: ['95-92=3']
Exploring Operation: 93/3=31, Resulting Numbers: [83, 31]
Generated Node #0,0,0: 74:[83, 31] Operation: 93/3=31
Exploring Operation: 93-83=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 74:[3, 10] Operation: 93-83=10
Moving to Node #0,0,1
Current State: 74:[3, 10], Operations: ['95-92=3', '93-83=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,74 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[83, 31], Operations: ['95-92=3', '93/3=31']
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 83+31=114, Resulting Numbers: [114]
114,74 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 |
[
80,
78,
25,
13
] | 40 | [
"80-78=2",
"25+13=38",
"2+38=40"
] | Current State: 40:[80, 78, 25, 13], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [25, 13, 2]
Generated Node #2: [25, 13, 2] from Operation: 80-78=2
Current State: 40:[25, 13, 2], Operations: ['80-78=2']
Exploring Operation: 25+13=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 25+13=38
Current State: 40:[2, 38], Operations: ['80-78=2', '25+13=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[80, 78, 25, 13], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [80, 13, 53]
Generated Node #0,0: 40:[80, 13, 53] Operation: 78-25=53
Exploring Operation: 80-78=2, Resulting Numbers: [25, 13, 2]
Generated Node #0,1: 40:[25, 13, 2] Operation: 80-78=2
Exploring Operation: 80-25=55, Resulting Numbers: [78, 13, 55]
Generated Node #0,2: 40:[78, 13, 55] Operation: 80-25=55
Exploring Operation: 78/13=6, Resulting Numbers: [80, 25, 6]
Generated Node #0,3: 40:[80, 25, 6] Operation: 78/13=6
Exploring Operation: 80-13=67, Resulting Numbers: [78, 25, 67]
Generated Node #0,4: 40:[78, 25, 67] Operation: 80-13=67
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[25, 13, 2], Operations: ['80-78=2']
Exploring Operation: 25-2=23, Resulting Numbers: [13, 23]
Generated Node #0,1,0: 40:[13, 23] Operation: 25-2=23
Exploring Operation: 25+13=38, Resulting Numbers: [2, 38]
Generated Node #0,1,1: 40:[2, 38] Operation: 25+13=38
Exploring Operation: 25+2=27, Resulting Numbers: [13, 27]
Generated Node #0,1,2: 40:[13, 27] Operation: 25+2=27
Exploring Operation: 25-13=12, Resulting Numbers: [2, 12]
Generated Node #0,1,3: 40:[2, 12] Operation: 25-13=12
Exploring Operation: 13-2=11, Resulting Numbers: [25, 11]
Generated Node #0,1,4: 40:[25, 11] Operation: 13-2=11
Moving to Node #0,1,1
Current State: 40:[2, 38], Operations: ['80-78=2', '25+13=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[80, 78, 25, 13], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [25, 13, 2]
Generated Node #0,1: 40:[25, 13, 2] Operation: 80-78=2
Moving to Node #0,1
Current State: 40:[25, 13, 2], Operations: ['80-78=2']
Exploring Operation: 25+13=38, Resulting Numbers: [2, 38]
Generated Node #0,1,1: 40:[2, 38] Operation: 25+13=38
Moving to Node #0,1,1
Current State: 40:[2, 38], Operations: ['80-78=2', '25+13=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
8,
9,
72,
88
] | 27 | [
"88/8=11",
"9*11=99",
"99-72=27"
] | Current State: 27:[8, 9, 72, 88], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [9, 72, 11]
Generated Node #2: [9, 72, 11] from Operation: 88/8=11
Current State: 27:[9, 72, 11], Operations: ['88/8=11']
Exploring Operation: 9*11=99, Resulting Numbers: [72, 99]
Generated Node #3: [72, 99] from Operation: 9*11=99
Current State: 27:[72, 99], Operations: ['88/8=11', '9*11=99']
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[8, 9, 72, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [8, 9, 16]
Generated Node #0,0: 27:[8, 9, 16] Operation: 88-72=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[8, 9, 16], Operations: ['88-72=16']
Exploring Operation: 16-8=8, Resulting Numbers: [9, 8]
Generated Node #0,0,0: 27:[9, 8] Operation: 16-8=8
Moving to Node #0,0,0
Current State: 27:[9, 8], Operations: ['88-72=16', '16-8=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,27 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 |
[
24,
59,
93,
9
] | 72 | [
"24+93=117",
"117/9=13",
"59+13=72"
] | Current State: 72:[24, 59, 93, 9], Operations: []
Exploring Operation: 24+93=117, Resulting Numbers: [59, 9, 117]
Generated Node #2: [59, 9, 117] from Operation: 24+93=117
Current State: 72:[59, 9, 117], Operations: ['24+93=117']
Exploring Operation: 117/9=13, Resulting Numbers: [59, 13]
Generated Node #3: [59, 13] from Operation: 117/9=13
Current State: 72:[59, 13], Operations: ['24+93=117', '117/9=13']
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[24, 59, 93, 9], Operations: []
Exploring Operation: 93-59=34, Resulting Numbers: [24, 9, 34]
Generated Node #0,0: 72:[24, 9, 34] Operation: 93-59=34
Moving to Node #0,0
Current State: 72:[24, 9, 34], Operations: ['93-59=34']
Exploring Operation: 34-24=10, Resulting Numbers: [9, 10]
Generated Node #0,0,0: 72:[9, 10] Operation: 34-24=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[9, 10], Operations: ['93-59=34', '34-24=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
57,
61,
62,
68
] | 10 | [
"61-57=4",
"68-62=6",
"4+6=10"
] | Current State: 10:[57, 61, 62, 68], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [62, 68, 4]
Generated Node #2: [62, 68, 4] from Operation: 61-57=4
Current State: 10:[62, 68, 4], Operations: ['61-57=4']
Exploring Operation: 68-62=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 68-62=6
Current State: 10:[4, 6], Operations: ['61-57=4', '68-62=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[57, 61, 62, 68], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [57, 62, 7]
Generated Node #0,0: 10:[57, 62, 7] Operation: 68-61=7
Exploring Operation: 68-62=6, Resulting Numbers: [57, 61, 6]
Generated Node #0,1: 10:[57, 61, 6] Operation: 68-62=6
Moving to Node #0,1
Current State: 10:[57, 61, 6], Operations: ['68-62=6']
Exploring Operation: 57-6=51, Resulting Numbers: [61, 51]
Generated Node #0,1,0: 10:[61, 51] Operation: 57-6=51
Exploring Operation: 61-57=4, Resulting Numbers: [6, 4]
Generated Node #0,1,1: 10:[6, 4] Operation: 61-57=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[6, 4], Operations: ['68-62=6', '61-57=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[57, 61, 62, 68], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [57, 61, 6]
Generated Node #0,1: 10:[57, 61, 6] Operation: 68-62=6
Moving to Node #0,1
Current State: 10:[57, 61, 6], Operations: ['68-62=6']
Exploring Operation: 61-57=4, Resulting Numbers: [6, 4]
Generated Node #0,1,1: 10:[6, 4] Operation: 61-57=4
Moving to Node #0,1,1
Current State: 10:[6, 4], Operations: ['68-62=6', '61-57=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
6,
58,
84,
58
] | 77 | [
"84-6=78",
"58/58=1",
"78-1=77"
] | Current State: 77:[6, 58, 84, 58], Operations: []
Exploring Operation: 84-6=78, Resulting Numbers: [58, 58, 78]
Generated Node #2: [58, 58, 78] from Operation: 84-6=78
Current State: 77:[58, 58, 78], Operations: ['84-6=78']
Exploring Operation: 58/58=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 58/58=1
Current State: 77:[78, 1], Operations: ['84-6=78', '58/58=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[6, 58, 84, 58], Operations: []
Exploring Operation: 58/58=1, Resulting Numbers: [6, 84, 1]
Generated Node #0,0: 77:[6, 84, 1] Operation: 58/58=1
Exploring Operation: 84-58=26, Resulting Numbers: [6, 58, 26]
Generated Node #0,1: 77:[6, 58, 26] Operation: 84-58=26
Exploring Operation: 58-58=0, Resulting Numbers: [6, 84, 0]
Generated Node #0,2: 77:[6, 84, 0] Operation: 58-58=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[6, 84, 1], Operations: ['58/58=1']
Exploring Operation: 84-6=78, Resulting Numbers: [1, 78]
Generated Node #0,0,0: 77:[1, 78] Operation: 84-6=78
Exploring Operation: 84-1=83, Resulting Numbers: [6, 83]
Generated Node #0,0,1: 77:[6, 83] Operation: 84-1=83
Exploring Operation: 6+1=7, Resulting Numbers: [84, 7]
Generated Node #0,0,2: 77:[84, 7] Operation: 6+1=7
Moving to Node #0,0,0
Current State: 77:[1, 78], Operations: ['58/58=1', '84-6=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[6, 58, 84, 58], Operations: []
Exploring Operation: 58/58=1, Resulting Numbers: [6, 84, 1]
Generated Node #0,0: 77:[6, 84, 1] Operation: 58/58=1
Moving to Node #0,0
Current State: 77:[6, 84, 1], Operations: ['58/58=1']
Exploring Operation: 84-6=78, Resulting Numbers: [1, 78]
Generated Node #0,0,0: 77:[1, 78] Operation: 84-6=78
Moving to Node #0,0,0
Current State: 77:[1, 78], Operations: ['58/58=1', '84-6=78']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
48,
38,
53,
56
] | 66 | [
"56-53=3",
"38*3=114",
"114-48=66"
] | Current State: 66:[48, 38, 53, 56], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [48, 38, 3]
Generated Node #2: [48, 38, 3] from Operation: 56-53=3
Current State: 66:[48, 38, 3], Operations: ['56-53=3']
Exploring Operation: 38*3=114, Resulting Numbers: [48, 114]
Generated Node #3: [48, 114] from Operation: 38*3=114
Current State: 66:[48, 114], Operations: ['56-53=3', '38*3=114']
Exploring Operation: 114-48=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[48, 38, 53, 56], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [38, 56, 5]
Generated Node #0,0: 66:[38, 56, 5] Operation: 53-48=5
Exploring Operation: 56-48=8, Resulting Numbers: [38, 53, 8]
Generated Node #0,1: 66:[38, 53, 8] Operation: 56-48=8
Exploring Operation: 56-53=3, Resulting Numbers: [48, 38, 3]
Generated Node #0,2: 66:[48, 38, 3] Operation: 56-53=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[38, 56, 5], Operations: ['53-48=5']
Exploring Operation: 56+5=61, Resulting Numbers: [38, 61]
Generated Node #0,0,0: 66:[38, 61] Operation: 56+5=61
Exploring Operation: 56-38=18, Resulting Numbers: [5, 18]
Generated Node #0,0,1: 66:[5, 18] Operation: 56-38=18
Exploring Operation: 38-5=33, Resulting Numbers: [56, 33]
Generated Node #0,0,2: 66:[56, 33] Operation: 38-5=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[5, 18], Operations: ['53-48=5', '56-38=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[38, 61], Operations: ['53-48=5', '56+5=61']
Exploring Operation: 38+61=99, Resulting Numbers: [99]
99,66 unequal: No Solution
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 38*61=2318, Resulting Numbers: [2318]
2318,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[56, 33], Operations: ['53-48=5', '38-5=33']
Exploring Operation: 56+33=89, Resulting Numbers: [89]
89,66 unequal: No Solution
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 56*33=1848, Resulting Numbers: [1848]
1848,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[38, 53, 8], Operations: ['56-48=8']
Exploring Operation: 53+8=61, Resulting Numbers: [38, 61]
Generated Node #0,1,0: 66:[38, 61] Operation: 53+8=61
Exploring Operation: 53-38=15, Resulting Numbers: [8, 15]
Generated Node #0,1,1: 66:[8, 15] Operation: 53-38=15
Exploring Operation: 38-8=30, Resulting Numbers: [53, 30]
Generated Node #0,1,2: 66:[53, 30] Operation: 38-8=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[8, 15], Operations: ['56-48=8', '53-38=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[38, 61], Operations: ['56-48=8', '53+8=61']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 38+61=99, Resulting Numbers: [99]
99,66 unequal: No Solution
Exploring Operation: 38*61=2318, Resulting Numbers: [2318]
2318,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 66:[53, 30], Operations: ['56-48=8', '38-8=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 53*30=1590, Resulting Numbers: [1590]
1590,66 unequal: No Solution
Exploring Operation: 53+30=83, Resulting Numbers: [83]
83,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[48, 38, 3], Operations: ['56-53=3']
Exploring Operation: 48-3=45, Resulting Numbers: [38, 45]
Generated Node #0,2,0: 66:[38, 45] Operation: 48-3=45
Exploring Operation: 48-38=10, Resulting Numbers: [3, 10]
Generated Node #0,2,1: 66:[3, 10] Operation: 48-38=10
Exploring Operation: 48/3=16, Resulting Numbers: [38, 16]
Generated Node #0,2,2: 66:[38, 16] Operation: 48/3=16
Moving to Node #0,2,1
Current State: 66:[3, 10], Operations: ['56-53=3', '48-38=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[38, 16], Operations: ['56-53=3', '48/3=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,66 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[38, 45], Operations: ['56-53=3', '48-3=45']
Exploring Operation: 38+45=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 38*45=1710, Resulting Numbers: [1710]
1710,66 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 |
[
45,
90,
89,
22
] | 78 | [
"90/45=2",
"22/2=11",
"89-11=78"
] | Current State: 78:[45, 90, 89, 22], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [89, 22, 2]
Generated Node #2: [89, 22, 2] from Operation: 90/45=2
Current State: 78:[89, 22, 2], Operations: ['90/45=2']
Exploring Operation: 22/2=11, Resulting Numbers: [89, 11]
Generated Node #3: [89, 11] from Operation: 22/2=11
Current State: 78:[89, 11], Operations: ['90/45=2', '22/2=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[45, 90, 89, 22], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [89, 22, 2]
Generated Node #0,0: 78:[89, 22, 2] Operation: 90/45=2
Exploring Operation: 90-45=45, Resulting Numbers: [89, 22, 45]
Generated Node #0,1: 78:[89, 22, 45] Operation: 90-45=45
Exploring Operation: 90-89=1, Resulting Numbers: [45, 22, 1]
Generated Node #0,2: 78:[45, 22, 1] Operation: 90-89=1
Moving to Node #0,2
Current State: 78:[45, 22, 1], Operations: ['90-89=1']
Exploring Operation: 45-22=23, Resulting Numbers: [1, 23]
Generated Node #0,2,0: 78:[1, 23] Operation: 45-22=23
Exploring Operation: 45-1=44, Resulting Numbers: [22, 44]
Generated Node #0,2,1: 78:[22, 44] Operation: 45-1=44
Exploring Operation: 22+1=23, Resulting Numbers: [45, 23]
Generated Node #0,2,2: 78:[45, 23] Operation: 22+1=23
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[1, 23], Operations: ['90-89=1', '45-22=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[22, 44], Operations: ['90-89=1', '45-1=44']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,78 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[45, 23], Operations: ['90-89=1', '22+1=23']
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,78 unequal: No Solution
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,78 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,78 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: 78:[89, 22, 2], Operations: ['90/45=2']
Exploring Operation: 89-22=67, Resulting Numbers: [2, 67]
Generated Node #0,0,0: 78:[2, 67] Operation: 89-22=67
Exploring Operation: 89-2=87, Resulting Numbers: [22, 87]
Generated Node #0,0,1: 78:[22, 87] Operation: 89-2=87
Exploring Operation: 22+2=24, Resulting Numbers: [89, 24]
Generated Node #0,0,2: 78:[89, 24] Operation: 22+2=24
Moving to Node #0,1
Current State: 78:[89, 22, 45], Operations: ['90-45=45']
Exploring Operation: 89-22=67, Resulting Numbers: [45, 67]
Generated Node #0,1,0: 78:[45, 67] Operation: 89-22=67
Exploring Operation: 89-45=44, Resulting Numbers: [22, 44]
Generated Node #0,1,1: 78:[22, 44] Operation: 89-45=44
Exploring Operation: 45-22=23, Resulting Numbers: [89, 23]
Generated Node #0,1,2: 78:[89, 23] Operation: 45-22=23
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[22, 44], Operations: ['90-45=45', '89-45=44']
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,78 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[89, 23], Operations: ['90-45=45', '45-22=23']
Exploring Operation: 89*23=2047, Resulting Numbers: [2047]
2047,78 unequal: No Solution
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,78 unequal: No Solution
Exploring Operation: 89+23=112, Resulting Numbers: [112]
112,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[45, 67], Operations: ['90-45=45', '89-22=67']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Exploring Operation: 45+67=112, Resulting Numbers: [112]
112,78 unequal: No Solution
Exploring Operation: 45*67=3015, Resulting Numbers: [3015]
3015,78 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: 78:[2, 67], Operations: ['90/45=2', '89-22=67']
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,78 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[22, 87], Operations: ['90/45=2', '89-2=87']
Exploring Operation: 22*87=1914, Resulting Numbers: [1914]
1914,78 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 22+87=109, Resulting Numbers: [109]
109,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[89, 24], Operations: ['90/45=2', '22+2=24']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 89*24=2136, Resulting Numbers: [2136]
2136,78 unequal: No Solution
Exploring Operation: 89+24=113, Resulting Numbers: [113]
113,78 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
51,
87,
72,
72
] | 51 | [
"72-72=0",
"87*0=0",
"51+0=51"
] | Current State: 51:[51, 87, 72, 72], Operations: []
Exploring Operation: 72-72=0, Resulting Numbers: [51, 87, 0]
Generated Node #2: [51, 87, 0] from Operation: 72-72=0
Current State: 51:[51, 87, 0], Operations: ['72-72=0']
Exploring Operation: 87*0=0, Resulting Numbers: [51, 0]
Generated Node #3: [51, 0] from Operation: 87*0=0
Current State: 51:[51, 0], Operations: ['72-72=0', '87*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[51, 87, 72, 72], Operations: []
Exploring Operation: 72/72=1, Resulting Numbers: [51, 87, 1]
Generated Node #0,0: 51:[51, 87, 1] Operation: 72/72=1
Exploring Operation: 87-72=15, Resulting Numbers: [51, 72, 15]
Generated Node #0,1: 51:[51, 72, 15] Operation: 87-72=15
Exploring Operation: 72-72=0, Resulting Numbers: [51, 87, 0]
Generated Node #0,2: 51:[51, 87, 0] Operation: 72-72=0
Exploring Operation: 87-51=36, Resulting Numbers: [72, 72, 36]
Generated Node #0,3: 51:[72, 72, 36] Operation: 87-51=36
Exploring Operation: 87-72=15, Resulting Numbers: [51, 72, 15]
Generated Node #0,4: 51:[51, 72, 15] Operation: 87-72=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[51, 72, 15], Operations: ['87-72=15']
Exploring Operation: 72-15=57, Resulting Numbers: [51, 57]
Generated Node #0,1,0: 51:[51, 57] Operation: 72-15=57
Exploring Operation: 51+15=66, Resulting Numbers: [72, 66]
Generated Node #0,1,1: 51:[72, 66] Operation: 51+15=66
Exploring Operation: 51-15=36, Resulting Numbers: [72, 36]
Generated Node #0,1,2: 51:[72, 36] Operation: 51-15=36
Exploring Operation: 72+15=87, Resulting Numbers: [51, 87]
Generated Node #0,1,3: 51:[51, 87] Operation: 72+15=87
Exploring Operation: 72-51=21, Resulting Numbers: [15, 21]
Generated Node #0,1,4: 51:[15, 21] Operation: 72-51=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[51, 57], Operations: ['87-72=15', '72-15=57']
Exploring Operation: 51*57=2907, Resulting Numbers: [2907]
2907,51 unequal: No Solution
Exploring Operation: 51+57=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 51:[15, 21], Operations: ['87-72=15', '72-51=21']
Exploring Operation: 15*21=315, Resulting Numbers: [315]
315,51 unequal: No Solution
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[72, 66], Operations: ['87-72=15', '51+15=66']
Exploring Operation: 72*66=4752, Resulting Numbers: [4752]
4752,51 unequal: No Solution
Exploring Operation: 72+66=138, Resulting Numbers: [138]
138,51 unequal: No Solution
Exploring Operation: 72-66=6, Resulting Numbers: [6]
6,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[72, 36], Operations: ['87-72=15', '51-15=36']
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 51:[51, 87], Operations: ['87-72=15', '72+15=87']
Exploring Operation: 51*87=4437, Resulting Numbers: [4437]
4437,51 unequal: No Solution
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 51+87=138, Resulting Numbers: [138]
138,51 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 #0,4
Current State: 51:[51, 72, 15], Operations: ['87-72=15']
Exploring Operation: 72-51=21, Resulting Numbers: [15, 21]
Generated Node #0,4,0: 51:[15, 21] Operation: 72-51=21
Exploring Operation: 72+15=87, Resulting Numbers: [51, 87]
Generated Node #0,4,1: 51:[51, 87] Operation: 72+15=87
Exploring Operation: 51-15=36, Resulting Numbers: [72, 36]
Generated Node #0,4,2: 51:[72, 36] Operation: 51-15=36
Exploring Operation: 51+15=66, Resulting Numbers: [72, 66]
Generated Node #0,4,3: 51:[72, 66] Operation: 51+15=66
Exploring Operation: 72-15=57, Resulting Numbers: [51, 57]
Generated Node #0,4,4: 51:[51, 57] Operation: 72-15=57
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 51:[15, 21], Operations: ['87-72=15', '72-51=21']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Exploring Operation: 15*21=315, Resulting Numbers: [315]
315,51 unequal: No Solution
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,51 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 #0,4,4
Current State: 51:[51, 57], Operations: ['87-72=15', '72-15=57']
Exploring Operation: 51+57=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Exploring Operation: 51*57=2907, Resulting Numbers: [2907]
2907,51 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 #0,4,1
Current State: 51:[51, 87], Operations: ['87-72=15', '72+15=87']
Exploring Operation: 51*87=4437, Resulting Numbers: [4437]
4437,51 unequal: No Solution
Exploring Operation: 51+87=138, Resulting Numbers: [138]
138,51 unequal: No Solution
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,51 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 #0,4,2
Current State: 51:[72, 36], Operations: ['87-72=15', '51-15=36']
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,51 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 51:[72, 66], Operations: ['87-72=15', '51+15=66']
Exploring Operation: 72*66=4752, Resulting Numbers: [4752]
4752,51 unequal: No Solution
Exploring Operation: 72+66=138, Resulting Numbers: [138]
138,51 unequal: No Solution
Exploring Operation: 72-66=6, Resulting Numbers: [6]
6,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[51, 87, 1], Operations: ['72/72=1']
Exploring Operation: 51/1=51, Resulting Numbers: [87, 51]
Generated Node #0,0,0: 51:[87, 51] Operation: 51/1=51
Exploring Operation: 87-51=36, Resulting Numbers: [1, 36]
Generated Node #0,0,1: 51:[1, 36] Operation: 87-51=36
Exploring Operation: 51*1=51, Resulting Numbers: [87, 51]
Generated Node #0,0,2: 51:[87, 51] Operation: 51*1=51
Exploring Operation: 87*1=87, Resulting Numbers: [51, 87]
Generated Node #0,0,3: 51:[51, 87] Operation: 87*1=87
Exploring Operation: 87-1=86, Resulting Numbers: [51, 86]
Generated Node #0,0,4: 51:[51, 86] Operation: 87-1=86
Moving to Node #0,0,1
Current State: 51:[1, 36], Operations: ['72/72=1', '87-51=36']
Exploring Operation: 1+36=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 1*36=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,51 unequal: No Solution
Moving to Node #0,0,4
Current State: 51:[51, 86], Operations: ['72/72=1', '87-1=86']
Exploring Operation: 51+86=137, Resulting Numbers: [137]
137,51 unequal: No Solution
Exploring Operation: 86-51=35, Resulting Numbers: [35]
35,51 unequal: No Solution
Exploring Operation: 51*86=4386, Resulting Numbers: [4386]
4386,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[87, 51], Operations: ['72/72=1', '51/1=51']
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 87*51=4437, Resulting Numbers: [4437]
4437,51 unequal: No Solution
Exploring Operation: 87+51=138, Resulting Numbers: [138]
138,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[87, 51], Operations: ['72/72=1', '51*1=51']
Exploring Operation: 87+51=138, Resulting Numbers: [138]
138,51 unequal: No Solution
Exploring Operation: 87*51=4437, Resulting Numbers: [4437]
4437,51 unequal: No Solution
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[51, 87], Operations: ['72/72=1', '87*1=87']
Exploring Operation: 51*87=4437, Resulting Numbers: [4437]
4437,51 unequal: No Solution
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 51+87=138, Resulting Numbers: [138]
138,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[51, 87, 0], Operations: ['72-72=0']
Exploring Operation: 51-0=51, Resulting Numbers: [87, 51]
Generated Node #0,2,0: 51:[87, 51] Operation: 51-0=51
Exploring Operation: 87+0=87, Resulting Numbers: [51, 87]
Generated Node #0,2,1: 51:[51, 87] Operation: 87+0=87
Exploring Operation: 51+0=51, Resulting Numbers: [87, 51]
Generated Node #0,2,2: 51:[87, 51] Operation: 51+0=51
Exploring Operation: 87-51=36, Resulting Numbers: [0, 36]
Generated Node #0,2,3: 51:[0, 36] Operation: 87-51=36
Exploring Operation: 87*0=0, Resulting Numbers: [51, 0]
Generated Node #0,2,4: 51:[51, 0] Operation: 87*0=0
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 51:[51, 0], Operations: ['72-72=0', '87*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[51, 87, 72, 72], Operations: []
Exploring Operation: 72-72=0, Resulting Numbers: [51, 87, 0]
Generated Node #0,2: 51:[51, 87, 0] Operation: 72-72=0
Moving to Node #0,2
Current State: 51:[51, 87, 0], Operations: ['72-72=0']
Exploring Operation: 87*0=0, Resulting Numbers: [51, 0]
Generated Node #0,2,4: 51:[51, 0] Operation: 87*0=0
Moving to Node #0,2,4
Current State: 51:[51, 0], Operations: ['72-72=0', '87*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.932292 | hs_5 | sum_heuristic |
[
84,
45,
94,
39
] | 16 | [
"84-45=39",
"94-39=55",
"55-39=16"
] | Current State: 16:[84, 45, 94, 39], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [94, 39, 39]
Generated Node #2: [94, 39, 39] from Operation: 84-45=39
Current State: 16:[94, 39, 39], Operations: ['84-45=39']
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,16 equal: Goal Reached
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[84, 45, 94, 39], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [94, 39, 39]
Generated Node #0,0: 16:[94, 39, 39] Operation: 84-45=39
Exploring Operation: 94-45=49, Resulting Numbers: [84, 39, 49]
Generated Node #0,1: 16:[84, 39, 49] Operation: 94-45=49
Exploring Operation: 94-84=10, Resulting Numbers: [45, 39, 10]
Generated Node #0,2: 16:[45, 39, 10] Operation: 94-84=10
Moving to Node #0,2
Current State: 16:[45, 39, 10], Operations: ['94-84=10']
Exploring Operation: 45-10=35, Resulting Numbers: [39, 35]
Generated Node #0,2,0: 16:[39, 35] Operation: 45-10=35
Exploring Operation: 45-39=6, Resulting Numbers: [10, 6]
Generated Node #0,2,1: 16:[10, 6] Operation: 45-39=6
Exploring Operation: 39-10=29, Resulting Numbers: [45, 29]
Generated Node #0,2,2: 16:[45, 29] Operation: 39-10=29
Moving to Node #0,0
Current State: 16:[94, 39, 39], Operations: ['84-45=39']
Exploring Operation: 94-39=55, Resulting Numbers: [39, 55]
Generated Node #0,0,0: 16:[39, 55] Operation: 94-39=55
Exploring Operation: 39/39=1, Resulting Numbers: [94, 1]
Generated Node #0,0,1: 16:[94, 1] Operation: 39/39=1
Exploring Operation: 94-39=55, Resulting Numbers: [39, 55]
Generated Node #0,0,2: 16:[39, 55] Operation: 94-39=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[39, 55], Operations: ['84-45=39', '94-39=55']
Exploring Operation: 39*55=2145, Resulting Numbers: [2145]
2145,16 unequal: No Solution
Exploring Operation: 39+55=94, Resulting Numbers: [94]
94,16 unequal: No Solution
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[84, 45, 94, 39], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [94, 39, 39]
Generated Node #0,0: 16:[94, 39, 39] Operation: 84-45=39
Moving to Node #0,0
Current State: 16:[94, 39, 39], Operations: ['84-45=39']
Exploring Operation: 94-39=55, Resulting Numbers: [39, 55]
Generated Node #0,0,0: 16:[39, 55] Operation: 94-39=55
Moving to Node #0,0,0
Current State: 16:[39, 55], Operations: ['84-45=39', '94-39=55']
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
29,
25,
58,
92
] | 65 | [
"58/29=2",
"92-25=67",
"67-2=65"
] | Current State: 65:[29, 25, 58, 92], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [25, 92, 2]
Generated Node #2: [25, 92, 2] from Operation: 58/29=2
Current State: 65:[25, 92, 2], Operations: ['58/29=2']
Exploring Operation: 92-25=67, Resulting Numbers: [2, 67]
Generated Node #3: [2, 67] from Operation: 92-25=67
Current State: 65:[2, 67], Operations: ['58/29=2', '92-25=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[29, 25, 58, 92], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [58, 92, 4]
Generated Node #0,0: 65:[58, 92, 4] Operation: 29-25=4
Exploring Operation: 58/29=2, Resulting Numbers: [25, 92, 2]
Generated Node #0,1: 65:[25, 92, 2] Operation: 58/29=2
Exploring Operation: 29+25=54, Resulting Numbers: [58, 92, 54]
Generated Node #0,2: 65:[58, 92, 54] Operation: 29+25=54
Exploring Operation: 92-25=67, Resulting Numbers: [29, 58, 67]
Generated Node #0,3: 65:[29, 58, 67] Operation: 92-25=67
Exploring Operation: 92-29=63, Resulting Numbers: [25, 58, 63]
Generated Node #0,4: 65:[25, 58, 63] Operation: 92-29=63
Moving to Node #0,4
Current State: 65:[25, 58, 63], Operations: ['92-29=63']
Exploring Operation: 25+58=83, Resulting Numbers: [63, 83]
Generated Node #0,4,0: 65:[63, 83] Operation: 25+58=83
Exploring Operation: 63-25=38, Resulting Numbers: [58, 38]
Generated Node #0,4,1: 65:[58, 38] Operation: 63-25=38
Exploring Operation: 63-58=5, Resulting Numbers: [25, 5]
Generated Node #0,4,2: 65:[25, 5] Operation: 63-58=5
Exploring Operation: 58-25=33, Resulting Numbers: [63, 33]
Generated Node #0,4,3: 65:[63, 33] Operation: 58-25=33
Exploring Operation: 25+63=88, Resulting Numbers: [58, 88]
Generated Node #0,4,4: 65:[58, 88] Operation: 25+63=88
Moving to Node #0,3
Current State: 65:[29, 58, 67], Operations: ['92-25=67']
Exploring Operation: 67-29=38, Resulting Numbers: [58, 38]
Generated Node #0,3,0: 65:[58, 38] Operation: 67-29=38
Exploring Operation: 29+58=87, Resulting Numbers: [67, 87]
Generated Node #0,3,1: 65:[67, 87] Operation: 29+58=87
Exploring Operation: 67-58=9, Resulting Numbers: [29, 9]
Generated Node #0,3,2: 65:[29, 9] Operation: 67-58=9
Exploring Operation: 58-29=29, Resulting Numbers: [67, 29]
Generated Node #0,3,3: 65:[67, 29] Operation: 58-29=29
Exploring Operation: 58/29=2, Resulting Numbers: [67, 2]
Generated Node #0,3,4: 65:[67, 2] Operation: 58/29=2
Moving to Node #0,0
Current State: 65:[58, 92, 4], Operations: ['29-25=4']
Exploring Operation: 58+4=62, Resulting Numbers: [92, 62]
Generated Node #0,0,0: 65:[92, 62] Operation: 58+4=62
Exploring Operation: 92-4=88, Resulting Numbers: [58, 88]
Generated Node #0,0,1: 65:[58, 88] Operation: 92-4=88
Exploring Operation: 58-4=54, Resulting Numbers: [92, 54]
Generated Node #0,0,2: 65:[92, 54] Operation: 58-4=54
Exploring Operation: 92-58=34, Resulting Numbers: [4, 34]
Generated Node #0,0,3: 65:[4, 34] Operation: 92-58=34
Exploring Operation: 92/4=23, Resulting Numbers: [58, 23]
Generated Node #0,0,4: 65:[58, 23] Operation: 92/4=23
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 65:[58, 23], Operations: ['29-25=4', '92/4=23']
Exploring Operation: 58*23=1334, Resulting Numbers: [1334]
1334,65 unequal: No Solution
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,65 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 65:[4, 34], Operations: ['29-25=4', '92-58=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,65 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,65 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[92, 62], Operations: ['29-25=4', '58+4=62']
Exploring Operation: 92+62=154, Resulting Numbers: [154]
154,65 unequal: No Solution
Exploring Operation: 92*62=5704, Resulting Numbers: [5704]
5704,65 unequal: No Solution
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[58, 88], Operations: ['29-25=4', '92-4=88']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,65 unequal: No Solution
Exploring Operation: 58*88=5104, Resulting Numbers: [5104]
5104,65 unequal: No Solution
Exploring Operation: 58+88=146, Resulting Numbers: [146]
146,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 65:[92, 54], Operations: ['29-25=4', '58-4=54']
Exploring Operation: 92+54=146, Resulting Numbers: [146]
146,65 unequal: No Solution
Exploring Operation: 92*54=4968, Resulting Numbers: [4968]
4968,65 unequal: No Solution
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,65 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: 65:[25, 92, 2], Operations: ['58/29=2']
Exploring Operation: 92/2=46, Resulting Numbers: [25, 46]
Generated Node #0,1,0: 65:[25, 46] Operation: 92/2=46
Exploring Operation: 25+2=27, Resulting Numbers: [92, 27]
Generated Node #0,1,1: 65:[92, 27] Operation: 25+2=27
Exploring Operation: 92-25=67, Resulting Numbers: [2, 67]
Generated Node #0,1,2: 65:[2, 67] Operation: 92-25=67
Exploring Operation: 25-2=23, Resulting Numbers: [92, 23]
Generated Node #0,1,3: 65:[92, 23] Operation: 25-2=23
Exploring Operation: 92-2=90, Resulting Numbers: [25, 90]
Generated Node #0,1,4: 65:[25, 90] Operation: 92-2=90
Moving to Node #0,2
Current State: 65:[58, 92, 54], Operations: ['29+25=54']
Exploring Operation: 92-58=34, Resulting Numbers: [54, 34]
Generated Node #0,2,0: 65:[54, 34] Operation: 92-58=34
Exploring Operation: 92-54=38, Resulting Numbers: [58, 38]
Generated Node #0,2,1: 65:[58, 38] Operation: 92-54=38
Exploring Operation: 58+54=112, Resulting Numbers: [92, 112]
Generated Node #0,2,2: 65:[92, 112] Operation: 58+54=112
Exploring Operation: 58-54=4, Resulting Numbers: [92, 4]
Generated Node #0,2,3: 65:[92, 4] Operation: 58-54=4
Exploring Operation: 92+54=146, Resulting Numbers: [58, 146]
Generated Node #0,2,4: 65:[58, 146] Operation: 92+54=146
Moving to Node #0,3,4
Current State: 65:[67, 2], Operations: ['92-25=67', '58/29=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,65 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,65 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[29, 25, 58, 92], Operations: []
Exploring Operation: 92-25=67, Resulting Numbers: [29, 58, 67]
Generated Node #0,3: 65:[29, 58, 67] Operation: 92-25=67
Moving to Node #0,3
Current State: 65:[29, 58, 67], Operations: ['92-25=67']
Exploring Operation: 58/29=2, Resulting Numbers: [67, 2]
Generated Node #0,3,4: 65:[67, 2] Operation: 58/29=2
Moving to Node #0,3,4
Current State: 65:[67, 2], Operations: ['92-25=67', '58/29=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.954861 | hs_5 | mult_heuristic |
[
48,
25,
20,
24
] | 37 | [
"24-20=4",
"48/4=12",
"25+12=37"
] | Current State: 37:[48, 25, 20, 24], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [48, 25, 4]
Generated Node #2: [48, 25, 4] from Operation: 24-20=4
Current State: 37:[48, 25, 4], Operations: ['24-20=4']
Exploring Operation: 48/4=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 48/4=12
Current State: 37:[25, 12], Operations: ['24-20=4', '48/4=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[48, 25, 20, 24], Operations: []
Exploring Operation: 25+24=49, Resulting Numbers: [48, 20, 49]
Generated Node #0,0: 37:[48, 20, 49] Operation: 25+24=49
Exploring Operation: 20+24=44, Resulting Numbers: [48, 25, 44]
Generated Node #0,1: 37:[48, 25, 44] Operation: 20+24=44
Exploring Operation: 25+20=45, Resulting Numbers: [48, 24, 45]
Generated Node #0,2: 37:[48, 24, 45] Operation: 25+20=45
Exploring Operation: 48-20=28, Resulting Numbers: [25, 24, 28]
Generated Node #0,3: 37:[25, 24, 28] Operation: 48-20=28
Exploring Operation: 48-24=24, Resulting Numbers: [25, 20, 24]
Generated Node #0,4: 37:[25, 20, 24] Operation: 48-24=24
Moving to Node #0,1
Current State: 37:[48, 25, 44], Operations: ['20+24=44']
Exploring Operation: 48-44=4, Resulting Numbers: [25, 4]
Generated Node #0,1,0: 37:[25, 4] Operation: 48-44=4
Exploring Operation: 48-25=23, Resulting Numbers: [44, 23]
Generated Node #0,1,1: 37:[44, 23] Operation: 48-25=23
Exploring Operation: 48+25=73, Resulting Numbers: [44, 73]
Generated Node #0,1,2: 37:[44, 73] Operation: 48+25=73
Exploring Operation: 44-25=19, Resulting Numbers: [48, 19]
Generated Node #0,1,3: 37:[48, 19] Operation: 44-25=19
Exploring Operation: 25+44=69, Resulting Numbers: [48, 69]
Generated Node #0,1,4: 37:[48, 69] Operation: 25+44=69
Moving to Node #0,2
Current State: 37:[48, 24, 45], Operations: ['25+20=45']
Exploring Operation: 48/24=2, Resulting Numbers: [45, 2]
Generated Node #0,2,0: 37:[45, 2] Operation: 48/24=2
Exploring Operation: 48-24=24, Resulting Numbers: [45, 24]
Generated Node #0,2,1: 37:[45, 24] Operation: 48-24=24
Exploring Operation: 48+24=72, Resulting Numbers: [45, 72]
Generated Node #0,2,2: 37:[45, 72] Operation: 48+24=72
Exploring Operation: 24+45=69, Resulting Numbers: [48, 69]
Generated Node #0,2,3: 37:[48, 69] Operation: 24+45=69
Exploring Operation: 45-24=21, Resulting Numbers: [48, 21]
Generated Node #0,2,4: 37:[48, 21] Operation: 45-24=21
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[45, 24], Operations: ['25+20=45', '48-24=24']
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,37 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 37:[48, 21], Operations: ['25+20=45', '45-24=21']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Exploring Operation: 48*21=1008, Resulting Numbers: [1008]
1008,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[45, 2], Operations: ['25+20=45', '48/24=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,37 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[45, 72], Operations: ['25+20=45', '48+24=72']
Exploring Operation: 45*72=3240, Resulting Numbers: [3240]
3240,37 unequal: No Solution
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 45+72=117, Resulting Numbers: [117]
117,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 37:[48, 69], Operations: ['25+20=45', '24+45=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,37 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,37 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,37 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: 37:[25, 24, 28], Operations: ['48-20=28']
Exploring Operation: 25-24=1, Resulting Numbers: [28, 1]
Generated Node #0,3,0: 37:[28, 1] Operation: 25-24=1
Exploring Operation: 25+28=53, Resulting Numbers: [24, 53]
Generated Node #0,3,1: 37:[24, 53] Operation: 25+28=53
Exploring Operation: 24+28=52, Resulting Numbers: [25, 52]
Generated Node #0,3,2: 37:[25, 52] Operation: 24+28=52
Exploring Operation: 25+24=49, Resulting Numbers: [28, 49]
Generated Node #0,3,3: 37:[28, 49] Operation: 25+24=49
Exploring Operation: 28-24=4, Resulting Numbers: [25, 4]
Generated Node #0,3,4: 37:[25, 4] Operation: 28-24=4
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 37:[28, 49], Operations: ['48-20=28', '25+24=49']
Exploring Operation: 28*49=1372, Resulting Numbers: [1372]
1372,37 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 37:[25, 52], Operations: ['48-20=28', '24+28=52']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 25*52=1300, Resulting Numbers: [1300]
1300,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 37:[24, 53], Operations: ['48-20=28', '25+28=53']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 37:[28, 1], Operations: ['48-20=28', '25-24=1']
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 37:[25, 4], Operations: ['48-20=28', '28-24=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,37 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: 37:[48, 20, 49], Operations: ['25+24=49']
Exploring Operation: 48+20=68, Resulting Numbers: [49, 68]
Generated Node #0,0,0: 37:[49, 68] Operation: 48+20=68
Exploring Operation: 48-20=28, Resulting Numbers: [49, 28]
Generated Node #0,0,1: 37:[49, 28] Operation: 48-20=28
Exploring Operation: 49-20=29, Resulting Numbers: [48, 29]
Generated Node #0,0,2: 37:[48, 29] Operation: 49-20=29
Exploring Operation: 20+49=69, Resulting Numbers: [48, 69]
Generated Node #0,0,3: 37:[48, 69] Operation: 20+49=69
Exploring Operation: 49-48=1, Resulting Numbers: [20, 1]
Generated Node #0,0,4: 37:[20, 1] Operation: 49-48=1
Moving to Node #0,4
Current State: 37:[25, 20, 24], Operations: ['48-24=24']
Exploring Operation: 20+24=44, Resulting Numbers: [25, 44]
Generated Node #0,4,0: 37:[25, 44] Operation: 20+24=44
Exploring Operation: 25-20=5, Resulting Numbers: [24, 5]
Generated Node #0,4,1: 37:[24, 5] Operation: 25-20=5
Exploring Operation: 25+20=45, Resulting Numbers: [24, 45]
Generated Node #0,4,2: 37:[24, 45] Operation: 25+20=45
Exploring Operation: 24-20=4, Resulting Numbers: [25, 4]
Generated Node #0,4,3: 37:[25, 4] Operation: 24-20=4
Exploring Operation: 25+24=49, Resulting Numbers: [20, 49]
Generated Node #0,4,4: 37:[20, 49] Operation: 25+24=49
Moving to Node #0,0,2
Current State: 37:[48, 29], Operations: ['25+24=49', '49-20=29']
Exploring Operation: 48*29=1392, Resulting Numbers: [1392]
1392,37 unequal: No Solution
Exploring Operation: 48+29=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Moving to Node #0,4,0
Current State: 37:[25, 44], Operations: ['48-24=24', '20+24=44']
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,37 unequal: No Solution
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[44, 23], Operations: ['20+24=44', '48-25=23']
Exploring Operation: 44+23=67, Resulting Numbers: [67]
67,37 unequal: No Solution
Exploring Operation: 44*23=1012, Resulting Numbers: [1012]
1012,37 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[49, 28], Operations: ['25+24=49', '48-20=28']
Exploring Operation: 49+28=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 49*28=1372, Resulting Numbers: [1372]
1372,37 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Moving to Node #0,4,2
Current State: 37:[24, 45], Operations: ['48-24=24', '25+20=45']
Exploring Operation: 24*45=1080, Resulting Numbers: [1080]
1080,37 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 24+45=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Moving to Node #0,4,4
Current State: 37:[20, 49], Operations: ['48-24=24', '25+24=49']
Exploring Operation: 20*49=980, Resulting Numbers: [980]
980,37 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[48, 19], Operations: ['20+24=44', '44-25=19']
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,37 unequal: No Solution
Exploring Operation: 48*19=912, Resulting Numbers: [912]
912,37 unequal: No Solution
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[44, 73], Operations: ['20+24=44', '48+25=73']
Exploring Operation: 44+73=117, Resulting Numbers: [117]
117,37 unequal: No Solution
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 44*73=3212, Resulting Numbers: [3212]
3212,37 unequal: No Solution
Moving to Node #0,1,4
Current State: 37:[48, 69], Operations: ['20+24=44', '25+44=69']
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,37 unequal: No Solution
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,37 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[48, 69], Operations: ['25+24=49', '20+49=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,37 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,37 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[49, 68], Operations: ['25+24=49', '48+20=68']
Exploring Operation: 49*68=3332, Resulting Numbers: [3332]
3332,37 unequal: No Solution
Exploring Operation: 49+68=117, Resulting Numbers: [117]
117,37 unequal: No Solution
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Moving to Node #0,4,1
Current State: 37:[24, 5], Operations: ['48-24=24', '25-20=5']
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,37 unequal: No Solution
Moving to Node #0,4,3
Current State: 37:[25, 4], Operations: ['48-24=24', '24-20=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,37 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[25, 4], Operations: ['20+24=44', '48-44=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,37 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Moving to Node #0,0,4
Current State: 37:[20, 1], Operations: ['25+24=49', '49-48=1']
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,37 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,37 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,37 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
24,
47,
29,
73
] | 21 | [
"47-24=23",
"73-29=44",
"44-23=21"
] | Current State: 21:[24, 47, 29, 73], Operations: []
Exploring Operation: 47-24=23, Resulting Numbers: [29, 73, 23]
Generated Node #2: [29, 73, 23] from Operation: 47-24=23
Current State: 21:[29, 73, 23], Operations: ['47-24=23']
Exploring Operation: 73-29=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 73-29=44
Current State: 21:[23, 44], Operations: ['47-24=23', '73-29=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[24, 47, 29, 73], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [24, 29, 26]
Generated Node #0,0: 21:[24, 29, 26] Operation: 73-47=26
Moving to Node #0,0
Current State: 21:[24, 29, 26], Operations: ['73-47=26']
Exploring Operation: 29-26=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 21:[24, 3] Operation: 29-26=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[24, 3], Operations: ['73-47=26', '29-26=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[24, 47, 29, 73], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [24, 29, 26]
Generated Node #0,0: 21:[24, 29, 26] Operation: 73-47=26
Moving to Node #0,0
Current State: 21:[24, 29, 26], Operations: ['73-47=26']
Exploring Operation: 29-26=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 21:[24, 3] Operation: 29-26=3
Moving to Node #0,0,0
Current State: 21:[24, 3], Operations: ['73-47=26', '29-26=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
86,
66,
68,
30
] | 18 | [
"86-66=20",
"68-30=38",
"38-20=18"
] | Current State: 18:[86, 66, 68, 30], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [68, 30, 20]
Generated Node #2: [68, 30, 20] from Operation: 86-66=20
Current State: 18:[68, 30, 20], Operations: ['86-66=20']
Exploring Operation: 68-30=38, Resulting Numbers: [20, 38]
Generated Node #3: [20, 38] from Operation: 68-30=38
Current State: 18:[20, 38], Operations: ['86-66=20', '68-30=38']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[86, 66, 68, 30], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [66, 30, 18]
Generated Node #0,0: 18:[66, 30, 18] Operation: 86-68=18
Moving to Node #0,0
Current State: 18:[66, 30, 18], Operations: ['86-68=18']
Exploring Operation: 66-30=36, Resulting Numbers: [18, 36]
Generated Node #0,0,0: 18:[18, 36] Operation: 66-30=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[18, 36], Operations: ['86-68=18', '66-30=36']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[86, 66, 68, 30], Operations: []
Exploring Operation: 86-68=18, Resulting Numbers: [66, 30, 18]
Generated Node #0,0: 18:[66, 30, 18] Operation: 86-68=18
Moving to Node #0,0
Current State: 18:[66, 30, 18], Operations: ['86-68=18']
Exploring Operation: 66-30=36, Resulting Numbers: [18, 36]
Generated Node #0,0,0: 18:[18, 36] Operation: 66-30=36
Moving to Node #0,0,0
Current State: 18:[18, 36], Operations: ['86-68=18', '66-30=36']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
59,
8,
7,
9
] | 52 | [
"59-7=52",
"9-8=1",
"52*1=52"
] | Current State: 52:[59, 8, 7, 9], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [8, 9, 52]
Generated Node #2: [8, 9, 52] from Operation: 59-7=52
Current State: 52:[8, 9, 52], Operations: ['59-7=52']
Exploring Operation: 9-8=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 9-8=1
Current State: 52:[52, 1], Operations: ['59-7=52', '9-8=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[59, 8, 7, 9], Operations: []
Exploring Operation: 59-8=51, Resulting Numbers: [7, 9, 51]
Generated Node #0,0: 52:[7, 9, 51] Operation: 59-8=51
Exploring Operation: 59-7=52, Resulting Numbers: [8, 9, 52]
Generated Node #0,1: 52:[8, 9, 52] Operation: 59-7=52
Moving to Node #0,0
Current State: 52:[7, 9, 51], Operations: ['59-8=51']
Exploring Operation: 9-7=2, Resulting Numbers: [51, 2]
Generated Node #0,0,0: 52:[51, 2] Operation: 9-7=2
Exploring Operation: 7+9=16, Resulting Numbers: [51, 16]
Generated Node #0,0,1: 52:[51, 16] Operation: 7+9=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[51, 2], Operations: ['59-8=51', '9-7=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[51, 16], Operations: ['59-8=51', '7+9=16']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,52 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: 52:[8, 9, 52], Operations: ['59-7=52']
Exploring Operation: 8+9=17, Resulting Numbers: [52, 17]
Generated Node #0,1,0: 52:[52, 17] Operation: 8+9=17
Exploring Operation: 9-8=1, Resulting Numbers: [52, 1]
Generated Node #0,1,1: 52:[52, 1] Operation: 9-8=1
Moving to Node #0,1,1
Current State: 52:[52, 1], Operations: ['59-7=52', '9-8=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[59, 8, 7, 9], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [8, 9, 52]
Generated Node #0,1: 52:[8, 9, 52] Operation: 59-7=52
Moving to Node #0,1
Current State: 52:[8, 9, 52], Operations: ['59-7=52']
Exploring Operation: 9-8=1, Resulting Numbers: [52, 1]
Generated Node #0,1,1: 52:[52, 1] Operation: 9-8=1
Moving to Node #0,1,1
Current State: 52:[52, 1], Operations: ['59-7=52', '9-8=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
3,
51,
59,
44
] | 56 | [
"59-44=15",
"15/3=5",
"51+5=56"
] | Current State: 56:[3, 51, 59, 44], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [3, 51, 15]
Generated Node #2: [3, 51, 15] from Operation: 59-44=15
Current State: 56:[3, 51, 15], Operations: ['59-44=15']
Exploring Operation: 15/3=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 15/3=5
Current State: 56:[51, 5], Operations: ['59-44=15', '15/3=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[3, 51, 59, 44], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [3, 59, 7]
Generated Node #0,0: 56:[3, 59, 7] Operation: 51-44=7
Exploring Operation: 59-44=15, Resulting Numbers: [3, 51, 15]
Generated Node #0,1: 56:[3, 51, 15] Operation: 59-44=15
Exploring Operation: 3+51=54, Resulting Numbers: [59, 44, 54]
Generated Node #0,2: 56:[59, 44, 54] Operation: 3+51=54
Exploring Operation: 59-3=56, Resulting Numbers: [51, 44, 56]
Generated Node #0,3: 56:[51, 44, 56] Operation: 59-3=56
Exploring Operation: 59-51=8, Resulting Numbers: [3, 44, 8]
Generated Node #0,4: 56:[3, 44, 8] Operation: 59-51=8
Moving to Node #0,0
Current State: 56:[3, 59, 7], Operations: ['51-44=7']
Exploring Operation: 59-3=56, Resulting Numbers: [7, 56]
Generated Node #0,0,0: 56:[7, 56] Operation: 59-3=56
Exploring Operation: 3+59=62, Resulting Numbers: [7, 62]
Generated Node #0,0,1: 56:[7, 62] Operation: 3+59=62
Exploring Operation: 7-3=4, Resulting Numbers: [59, 4]
Generated Node #0,0,2: 56:[59, 4] Operation: 7-3=4
Exploring Operation: 59-7=52, Resulting Numbers: [3, 52]
Generated Node #0,0,3: 56:[3, 52] Operation: 59-7=52
Exploring Operation: 3+7=10, Resulting Numbers: [59, 10]
Generated Node #0,0,4: 56:[59, 10] Operation: 3+7=10
Moving to Node #0,1
Current State: 56:[3, 51, 15], Operations: ['59-44=15']
Exploring Operation: 51/3=17, Resulting Numbers: [15, 17]
Generated Node #0,1,0: 56:[15, 17] Operation: 51/3=17
Exploring Operation: 15-3=12, Resulting Numbers: [51, 12]
Generated Node #0,1,1: 56:[51, 12] Operation: 15-3=12
Exploring Operation: 51-3=48, Resulting Numbers: [15, 48]
Generated Node #0,1,2: 56:[15, 48] Operation: 51-3=48
Exploring Operation: 15/3=5, Resulting Numbers: [51, 5]
Generated Node #0,1,3: 56:[51, 5] Operation: 15/3=5
Exploring Operation: 3+51=54, Resulting Numbers: [15, 54]
Generated Node #0,1,4: 56:[15, 54] Operation: 3+51=54
Moving to Node #0,4
Current State: 56:[3, 44, 8], Operations: ['59-51=8']
Exploring Operation: 3+44=47, Resulting Numbers: [8, 47]
Generated Node #0,4,0: 56:[8, 47] Operation: 3+44=47
Exploring Operation: 8-3=5, Resulting Numbers: [44, 5]
Generated Node #0,4,1: 56:[44, 5] Operation: 8-3=5
Exploring Operation: 44+8=52, Resulting Numbers: [3, 52]
Generated Node #0,4,2: 56:[3, 52] Operation: 44+8=52
Exploring Operation: 44-8=36, Resulting Numbers: [3, 36]
Generated Node #0,4,3: 56:[3, 36] Operation: 44-8=36
Exploring Operation: 44-3=41, Resulting Numbers: [8, 41]
Generated Node #0,4,4: 56:[8, 41] Operation: 44-3=41
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 56:[3, 52], Operations: ['59-51=8', '44+8=52']
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,56 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,56 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 #0,4,0
Current State: 56:[8, 47], Operations: ['59-51=8', '3+44=47']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,56 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 #0,4,3
Current State: 56:[3, 36], Operations: ['59-51=8', '44-8=36']
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,56 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,56 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 #0,4,1
Current State: 56:[44, 5], Operations: ['59-51=8', '8-3=5']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 44*5=220, Resulting Numbers: [220]
220,56 unequal: No Solution
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,56 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 #0,4,4
Current State: 56:[8, 41], Operations: ['59-51=8', '44-3=41']
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,56 unequal: No Solution
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 56:[59, 44, 54], Operations: ['3+51=54']
Exploring Operation: 54-44=10, Resulting Numbers: [59, 10]
Generated Node #0,2,0: 56:[59, 10] Operation: 54-44=10
Exploring Operation: 44+54=98, Resulting Numbers: [59, 98]
Generated Node #0,2,1: 56:[59, 98] Operation: 44+54=98
Exploring Operation: 59-54=5, Resulting Numbers: [44, 5]
Generated Node #0,2,2: 56:[44, 5] Operation: 59-54=5
Exploring Operation: 59-44=15, Resulting Numbers: [54, 15]
Generated Node #0,2,3: 56:[54, 15] Operation: 59-44=15
Exploring Operation: 59+44=103, Resulting Numbers: [54, 103]
Generated Node #0,2,4: 56:[54, 103] Operation: 59+44=103
Moving to Node #0,3
Current State: 56:[51, 44, 56], Operations: ['59-3=56']
Exploring Operation: 44+56=100, Resulting Numbers: [51, 100]
Generated Node #0,3,0: 56:[51, 100] Operation: 44+56=100
Exploring Operation: 56-44=12, Resulting Numbers: [51, 12]
Generated Node #0,3,1: 56:[51, 12] Operation: 56-44=12
Exploring Operation: 56-51=5, Resulting Numbers: [44, 5]
Generated Node #0,3,2: 56:[44, 5] Operation: 56-51=5
Exploring Operation: 51-44=7, Resulting Numbers: [56, 7]
Generated Node #0,3,3: 56:[56, 7] Operation: 51-44=7
Exploring Operation: 51+44=95, Resulting Numbers: [56, 95]
Generated Node #0,3,4: 56:[56, 95] Operation: 51+44=95
Moving to Node #0,0,0
Current State: 56:[7, 56], Operations: ['51-44=7', '59-3=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 7*56=392, Resulting Numbers: [392]
392,56 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Moving to Node #0,3,3
Current State: 56:[56, 7], Operations: ['59-3=56', '51-44=7']
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 56*7=392, Resulting Numbers: [392]
392,56 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Moving to Node #0,1,4
Current State: 56:[15, 54], Operations: ['59-44=15', '3+51=54']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 15+54=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 15*54=810, Resulting Numbers: [810]
810,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[54, 15], Operations: ['3+51=54', '59-44=15']
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[59, 4], Operations: ['51-44=7', '7-3=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,56 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[15, 17], Operations: ['59-44=15', '51/3=17']
Exploring Operation: 15+17=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 15*17=255, Resulting Numbers: [255]
255,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[3, 52], Operations: ['51-44=7', '59-7=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[59, 10], Operations: ['3+51=54', '54-44=10']
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 59*10=590, Resulting Numbers: [590]
590,56 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Moving to Node #0,0,4
Current State: 56:[59, 10], Operations: ['51-44=7', '3+7=10']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 59*10=590, Resulting Numbers: [590]
590,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[7, 62], Operations: ['51-44=7', '3+59=62']
Exploring Operation: 7*62=434, Resulting Numbers: [434]
434,56 unequal: No Solution
Exploring Operation: 7+62=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Moving to Node #0,1,3
Current State: 56:[51, 5], Operations: ['59-44=15', '15/3=5']
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,56 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[3, 51, 59, 44], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [3, 51, 15]
Generated Node #0,1: 56:[3, 51, 15] Operation: 59-44=15
Moving to Node #0,1
Current State: 56:[3, 51, 15], Operations: ['59-44=15']
Exploring Operation: 15/3=5, Resulting Numbers: [51, 5]
Generated Node #0,1,3: 56:[51, 5] Operation: 15/3=5
Moving to Node #0,1,3
Current State: 56:[51, 5], Operations: ['59-44=15', '15/3=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.926215 | hs_5 | sum_heuristic |
[
94,
59,
9,
56
] | 91 | [
"59-56=3",
"9/3=3",
"94-3=91"
] | Current State: 91:[94, 59, 9, 56], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [94, 9, 3]
Generated Node #2: [94, 9, 3] from Operation: 59-56=3
Current State: 91:[94, 9, 3], Operations: ['59-56=3']
Exploring Operation: 9/3=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 9/3=3
Current State: 91:[94, 3], Operations: ['59-56=3', '9/3=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[94, 59, 9, 56], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [9, 56, 35]
Generated Node #0,0: 91:[9, 56, 35] Operation: 94-59=35
Exploring Operation: 94-56=38, Resulting Numbers: [59, 9, 38]
Generated Node #0,1: 91:[59, 9, 38] Operation: 94-56=38
Exploring Operation: 59+56=115, Resulting Numbers: [94, 9, 115]
Generated Node #0,2: 91:[94, 9, 115] Operation: 59+56=115
Exploring Operation: 59-56=3, Resulting Numbers: [94, 9, 3]
Generated Node #0,3: 91:[94, 9, 3] Operation: 59-56=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 91:[94, 9, 3], Operations: ['59-56=3']
Exploring Operation: 9-3=6, Resulting Numbers: [94, 6]
Generated Node #0,3,0: 91:[94, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [94, 3]
Generated Node #0,3,1: 91:[94, 3] Operation: 9/3=3
Exploring Operation: 9+3=12, Resulting Numbers: [94, 12]
Generated Node #0,3,2: 91:[94, 12] Operation: 9+3=12
Exploring Operation: 94-3=91, Resulting Numbers: [9, 91]
Generated Node #0,3,3: 91:[9, 91] Operation: 94-3=91
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 91:[9, 91], Operations: ['59-56=3', '94-3=91']
Exploring Operation: 9+91=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 9*91=819, Resulting Numbers: [819]
819,91 unequal: No Solution
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 91:[94, 6], Operations: ['59-56=3', '9-3=6']
Exploring Operation: 94*6=564, Resulting Numbers: [564]
564,91 unequal: No Solution
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 91:[94, 12], Operations: ['59-56=3', '9+3=12']
Exploring Operation: 94*12=1128, Resulting Numbers: [1128]
1128,91 unequal: No Solution
Exploring Operation: 94+12=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 91:[94, 3], Operations: ['59-56=3', '9/3=3']
Exploring Operation: 94*3=282, Resulting Numbers: [282]
282,91 unequal: No Solution
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[94, 59, 9, 56], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [94, 9, 3]
Generated Node #0,3: 91:[94, 9, 3] Operation: 59-56=3
Moving to Node #0,3
Current State: 91:[94, 9, 3], Operations: ['59-56=3']
Exploring Operation: 9/3=3, Resulting Numbers: [94, 3]
Generated Node #0,3,1: 91:[94, 3] Operation: 9/3=3
Moving to Node #0,3,1
Current State: 91:[94, 3], Operations: ['59-56=3', '9/3=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_4 | sum_heuristic |
[
77,
2,
26,
46
] | 82 | [
"77*2=154",
"26+46=72",
"154-72=82"
] | Current State: 82:[77, 2, 26, 46], Operations: []
Exploring Operation: 77*2=154, Resulting Numbers: [26, 46, 154]
Generated Node #2: [26, 46, 154] from Operation: 77*2=154
Current State: 82:[26, 46, 154], Operations: ['77*2=154']
Exploring Operation: 26+46=72, Resulting Numbers: [154, 72]
Generated Node #3: [154, 72] from Operation: 26+46=72
Current State: 82:[154, 72], Operations: ['77*2=154', '26+46=72']
Exploring Operation: 154-72=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[77, 2, 26, 46], Operations: []
Exploring Operation: 26+46=72, Resulting Numbers: [77, 2, 72]
Generated Node #0,0: 82:[77, 2, 72] Operation: 26+46=72
Exploring Operation: 77-26=51, Resulting Numbers: [2, 46, 51]
Generated Node #0,1: 82:[2, 46, 51] Operation: 77-26=51
Exploring Operation: 2*26=52, Resulting Numbers: [77, 46, 52]
Generated Node #0,2: 82:[77, 46, 52] Operation: 2*26=52
Moving to Node #0,0
Current State: 82:[77, 2, 72], Operations: ['26+46=72']
Exploring Operation: 77-72=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 82:[2, 5] Operation: 77-72=5
Exploring Operation: 77+2=79, Resulting Numbers: [72, 79]
Generated Node #0,0,1: 82:[72, 79] Operation: 77+2=79
Exploring Operation: 72/2=36, Resulting Numbers: [77, 36]
Generated Node #0,0,2: 82:[77, 36] Operation: 72/2=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[2, 5], Operations: ['26+46=72', '77-72=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,82 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[77, 36], Operations: ['26+46=72', '72/2=36']
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,82 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,82 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[72, 79], Operations: ['26+46=72', '77+2=79']
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 72*79=5688, Resulting Numbers: [5688]
5688,82 unequal: No Solution
Exploring Operation: 72+79=151, Resulting Numbers: [151]
151,82 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: 82:[2, 46, 51], Operations: ['77-26=51']
Exploring Operation: 46-2=44, Resulting Numbers: [51, 44]
Generated Node #0,1,0: 82:[51, 44] Operation: 46-2=44
Exploring Operation: 51-2=49, Resulting Numbers: [46, 49]
Generated Node #0,1,1: 82:[46, 49] Operation: 51-2=49
Exploring Operation: 51-46=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 82:[2, 5] Operation: 51-46=5
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 82:[2, 5], Operations: ['77-26=51', '51-46=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[51, 44], Operations: ['77-26=51', '46-2=44']
Exploring Operation: 51*44=2244, Resulting Numbers: [2244]
2244,82 unequal: No Solution
Exploring Operation: 51-44=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 51+44=95, Resulting Numbers: [95]
95,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[46, 49], Operations: ['77-26=51', '51-2=49']
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 46*49=2254, Resulting Numbers: [2254]
2254,82 unequal: No Solution
Exploring Operation: 46+49=95, Resulting Numbers: [95]
95,82 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: 82:[77, 46, 52], Operations: ['2*26=52']
Exploring Operation: 52-46=6, Resulting Numbers: [77, 6]
Generated Node #0,2,0: 82:[77, 6] Operation: 52-46=6
Exploring Operation: 77-52=25, Resulting Numbers: [46, 25]
Generated Node #0,2,1: 82:[46, 25] Operation: 77-52=25
Exploring Operation: 77-46=31, Resulting Numbers: [52, 31]
Generated Node #0,2,2: 82:[52, 31] Operation: 77-46=31
Moving to Node #0,2,0
Current State: 82:[77, 6], Operations: ['2*26=52', '52-46=6']
Exploring Operation: 77*6=462, Resulting Numbers: [462]
462,82 unequal: No Solution
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[46, 25], Operations: ['2*26=52', '77-52=25']
Exploring Operation: 46*25=1150, Resulting Numbers: [1150]
1150,82 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Exploring Operation: 46+25=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[52, 31], Operations: ['2*26=52', '77-46=31']
Exploring Operation: 52*31=1612, Resulting Numbers: [1612]
1612,82 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Exploring Operation: 52+31=83, Resulting Numbers: [83]
83,82 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
40,
48,
20,
5
] | 41 | [
"40/20=2",
"48-5=43",
"43-2=41"
] | Current State: 41:[40, 48, 20, 5], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [48, 5, 2]
Generated Node #2: [48, 5, 2] from Operation: 40/20=2
Current State: 41:[48, 5, 2], Operations: ['40/20=2']
Exploring Operation: 48-5=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 48-5=43
Current State: 41:[2, 43], Operations: ['40/20=2', '48-5=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[40, 48, 20, 5], Operations: []
Exploring Operation: 48-5=43, Resulting Numbers: [40, 20, 43]
Generated Node #0,0: 41:[40, 20, 43] Operation: 48-5=43
Exploring Operation: 40-5=35, Resulting Numbers: [48, 20, 35]
Generated Node #0,1: 41:[48, 20, 35] Operation: 40-5=35
Exploring Operation: 40+5=45, Resulting Numbers: [48, 20, 45]
Generated Node #0,2: 41:[48, 20, 45] Operation: 40+5=45
Exploring Operation: 20+5=25, Resulting Numbers: [40, 48, 25]
Generated Node #0,3: 41:[40, 48, 25] Operation: 20+5=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[40, 20, 43], Operations: ['48-5=43']
Exploring Operation: 20+43=63, Resulting Numbers: [40, 63]
Generated Node #0,0,0: 41:[40, 63] Operation: 20+43=63
Exploring Operation: 43-20=23, Resulting Numbers: [40, 23]
Generated Node #0,0,1: 41:[40, 23] Operation: 43-20=23
Exploring Operation: 40-20=20, Resulting Numbers: [43, 20]
Generated Node #0,0,2: 41:[43, 20] Operation: 40-20=20
Exploring Operation: 40+20=60, Resulting Numbers: [43, 60]
Generated Node #0,0,3: 41:[43, 60] Operation: 40+20=60
Moving to Node #0,0,1
Current State: 41:[40, 23], Operations: ['48-5=43', '43-20=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 40*23=920, Resulting Numbers: [920]
920,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[43, 60], Operations: ['48-5=43', '40+20=60']
Exploring Operation: 43*60=2580, Resulting Numbers: [2580]
2580,41 unequal: No Solution
Exploring Operation: 43+60=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[43, 20], Operations: ['48-5=43', '40-20=20']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[40, 63], Operations: ['48-5=43', '20+43=63']
Exploring Operation: 40*63=2520, Resulting Numbers: [2520]
2520,41 unequal: No Solution
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 40+63=103, Resulting Numbers: [103]
103,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[40, 48, 25], Operations: ['20+5=25']
Exploring Operation: 40+25=65, Resulting Numbers: [48, 65]
Generated Node #0,3,0: 41:[48, 65] Operation: 40+25=65
Exploring Operation: 48+25=73, Resulting Numbers: [40, 73]
Generated Node #0,3,1: 41:[40, 73] Operation: 48+25=73
Exploring Operation: 48-25=23, Resulting Numbers: [40, 23]
Generated Node #0,3,2: 41:[40, 23] Operation: 48-25=23
Exploring Operation: 40-25=15, Resulting Numbers: [48, 15]
Generated Node #0,3,3: 41:[48, 15] Operation: 40-25=15
Moving to Node #0,3,2
Current State: 41:[40, 23], Operations: ['20+5=25', '48-25=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 40*23=920, Resulting Numbers: [920]
920,41 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[48, 65], Operations: ['20+5=25', '40+25=65']
Exploring Operation: 48+65=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 48*65=3120, Resulting Numbers: [3120]
3120,41 unequal: No Solution
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[48, 15], Operations: ['20+5=25', '40-25=15']
Exploring Operation: 48+15=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 48*15=720, Resulting Numbers: [720]
720,41 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[40, 73], Operations: ['20+5=25', '48+25=73']
Exploring Operation: 40*73=2920, Resulting Numbers: [2920]
2920,41 unequal: No Solution
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[48, 20, 45], Operations: ['40+5=45']
Exploring Operation: 20+45=65, Resulting Numbers: [48, 65]
Generated Node #0,2,0: 41:[48, 65] Operation: 20+45=65
Exploring Operation: 48+20=68, Resulting Numbers: [45, 68]
Generated Node #0,2,1: 41:[45, 68] Operation: 48+20=68
Exploring Operation: 48-20=28, Resulting Numbers: [45, 28]
Generated Node #0,2,2: 41:[45, 28] Operation: 48-20=28
Exploring Operation: 45-20=25, Resulting Numbers: [48, 25]
Generated Node #0,2,3: 41:[48, 25] Operation: 45-20=25
Moving to Node #0,2,2
Current State: 41:[45, 28], Operations: ['40+5=45', '48-20=28']
Exploring Operation: 45*28=1260, Resulting Numbers: [1260]
1260,41 unequal: No Solution
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[48, 25], Operations: ['40+5=45', '45-20=25']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 48*25=1200, Resulting Numbers: [1200]
1200,41 unequal: No Solution
Exploring Operation: 48+25=73, Resulting Numbers: [73]
73,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[45, 68], Operations: ['40+5=45', '48+20=68']
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,41 unequal: No Solution
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[48, 65], Operations: ['40+5=45', '20+45=65']
Exploring Operation: 48+65=113, Resulting Numbers: [113]
113,41 unequal: No Solution
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 48*65=3120, Resulting Numbers: [3120]
3120,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[48, 20, 35], Operations: ['40-5=35']
Exploring Operation: 20+35=55, Resulting Numbers: [48, 55]
Generated Node #0,1,0: 41:[48, 55] Operation: 20+35=55
Exploring Operation: 35-20=15, Resulting Numbers: [48, 15]
Generated Node #0,1,1: 41:[48, 15] Operation: 35-20=15
Exploring Operation: 48+20=68, Resulting Numbers: [35, 68]
Generated Node #0,1,2: 41:[35, 68] Operation: 48+20=68
Exploring Operation: 48-20=28, Resulting Numbers: [35, 28]
Generated Node #0,1,3: 41:[35, 28] Operation: 48-20=28
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 41:[35, 28], Operations: ['40-5=35', '48-20=28']
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,41 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,41 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:[48, 55], Operations: ['40-5=35', '20+35=55']
Exploring Operation: 48*55=2640, Resulting Numbers: [2640]
2640,41 unequal: No Solution
Exploring Operation: 48+55=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,41 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 #0,1,1
Current State: 41:[48, 15], Operations: ['40-5=35', '35-20=15']
Exploring Operation: 48*15=720, Resulting Numbers: [720]
720,41 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 48+15=63, Resulting Numbers: [63]
63,41 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:[35, 68], Operations: ['40-5=35', '48+20=68']
Exploring Operation: 35*68=2380, Resulting Numbers: [2380]
2380,41 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 35+68=103, Resulting Numbers: [103]
103,41 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_4 | mult_heuristic |
[
41,
63,
42,
13
] | 81 | [
"41+13=54",
"63*54=3402",
"3402/42=81"
] | Current State: 81:[41, 63, 42, 13], Operations: []
Exploring Operation: 41+13=54, Resulting Numbers: [63, 42, 54]
Generated Node #2: [63, 42, 54] from Operation: 41+13=54
Current State: 81:[63, 42, 54], Operations: ['41+13=54']
Exploring Operation: 63*54=3402, Resulting Numbers: [42, 3402]
Generated Node #3: [42, 3402] from Operation: 63*54=3402
Current State: 81:[42, 3402], Operations: ['41+13=54', '63*54=3402']
Exploring Operation: 3402/42=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[41, 63, 42, 13], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [42, 13, 22]
Generated Node #0,0: 81:[42, 13, 22] Operation: 63-41=22
Exploring Operation: 42-41=1, Resulting Numbers: [63, 13, 1]
Generated Node #0,1: 81:[63, 13, 1] Operation: 42-41=1
Exploring Operation: 41+42=83, Resulting Numbers: [63, 13, 83]
Generated Node #0,2: 81:[63, 13, 83] Operation: 41+42=83
Moving to Node #0,0
Current State: 81:[42, 13, 22], Operations: ['63-41=22']
Exploring Operation: 42-22=20, Resulting Numbers: [13, 20]
Generated Node #0,0,0: 81:[13, 20] Operation: 42-22=20
Exploring Operation: 22-13=9, Resulting Numbers: [42, 9]
Generated Node #0,0,1: 81:[42, 9] Operation: 22-13=9
Exploring Operation: 42-13=29, Resulting Numbers: [22, 29]
Generated Node #0,0,2: 81:[22, 29] Operation: 42-13=29
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 81:[22, 29], Operations: ['63-41=22', '42-13=29']
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 22*29=638, Resulting Numbers: [638]
638,81 unequal: No Solution
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[13, 20], Operations: ['63-41=22', '42-22=20']
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,81 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[42, 9], Operations: ['63-41=22', '22-13=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,81 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,81 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: 81:[63, 13, 1], Operations: ['42-41=1']
Exploring Operation: 63+1=64, Resulting Numbers: [13, 64]
Generated Node #0,1,0: 81:[13, 64] Operation: 63+1=64
Exploring Operation: 13-1=12, Resulting Numbers: [63, 12]
Generated Node #0,1,1: 81:[63, 12] Operation: 13-1=12
Exploring Operation: 63+13=76, Resulting Numbers: [1, 76]
Generated Node #0,1,2: 81:[1, 76] Operation: 63+13=76
Moving to Node #0,2
Current State: 81:[63, 13, 83], Operations: ['41+42=83']
Exploring Operation: 63+13=76, Resulting Numbers: [83, 76]
Generated Node #0,2,0: 81:[83, 76] Operation: 63+13=76
Exploring Operation: 63-13=50, Resulting Numbers: [83, 50]
Generated Node #0,2,1: 81:[83, 50] Operation: 63-13=50
Exploring Operation: 83-63=20, Resulting Numbers: [13, 20]
Generated Node #0,2,2: 81:[13, 20] Operation: 83-63=20
Moving to Node #0,1,2
Current State: 81:[1, 76], Operations: ['42-41=1', '63+13=76']
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,81 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[83, 76], Operations: ['41+42=83', '63+13=76']
Exploring Operation: 83+76=159, Resulting Numbers: [159]
159,81 unequal: No Solution
Exploring Operation: 83*76=6308, Resulting Numbers: [6308]
6308,81 unequal: No Solution
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[13, 20], Operations: ['41+42=83', '83-63=20']
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[63, 12], Operations: ['42-41=1', '13-1=12']
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,81 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[13, 64], Operations: ['42-41=1', '63+1=64']
Exploring Operation: 13+64=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 13*64=832, Resulting Numbers: [832]
832,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[83, 50], Operations: ['41+42=83', '63-13=50']
Exploring Operation: 83-50=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 83*50=4150, Resulting Numbers: [4150]
4150,81 unequal: No Solution
Exploring Operation: 83+50=133, Resulting Numbers: [133]
133,81 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
10,
87,
78,
82
] | 81 | [
"87-10=77",
"82-78=4",
"77+4=81"
] | Current State: 81:[10, 87, 78, 82], Operations: []
Exploring Operation: 87-10=77, Resulting Numbers: [78, 82, 77]
Generated Node #2: [78, 82, 77] from Operation: 87-10=77
Current State: 81:[78, 82, 77], Operations: ['87-10=77']
Exploring Operation: 82-78=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 82-78=4
Current State: 81:[77, 4], Operations: ['87-10=77', '82-78=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[10, 87, 78, 82], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [10, 82, 9]
Generated Node #0,0: 81:[10, 82, 9] Operation: 87-78=9
Exploring Operation: 87-82=5, Resulting Numbers: [10, 78, 5]
Generated Node #0,1: 81:[10, 78, 5] Operation: 87-82=5
Moving to Node #0,0
Current State: 81:[10, 82, 9], Operations: ['87-78=9']
Exploring Operation: 10-9=1, Resulting Numbers: [82, 1]
Generated Node #0,0,0: 81:[82, 1] Operation: 10-9=1
Exploring Operation: 82-10=72, Resulting Numbers: [9, 72]
Generated Node #0,0,1: 81:[9, 72] Operation: 82-10=72
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[82, 1], Operations: ['87-78=9', '10-9=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[10, 87, 78, 82], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [10, 82, 9]
Generated Node #0,0: 81:[10, 82, 9] Operation: 87-78=9
Moving to Node #0,0
Current State: 81:[10, 82, 9], Operations: ['87-78=9']
Exploring Operation: 10-9=1, Resulting Numbers: [82, 1]
Generated Node #0,0,0: 81:[82, 1] Operation: 10-9=1
Moving to Node #0,0,0
Current State: 81:[82, 1], Operations: ['87-78=9', '10-9=1']
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
2,
5,
34,
71
] | 19 | [
"34+71=105",
"105/5=21",
"21-2=19"
] | Current State: 19:[2, 5, 34, 71], Operations: []
Exploring Operation: 34+71=105, Resulting Numbers: [2, 5, 105]
Generated Node #2: [2, 5, 105] from Operation: 34+71=105
Current State: 19:[2, 5, 105], Operations: ['34+71=105']
Exploring Operation: 105/5=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 105/5=21
Current State: 19:[2, 21], Operations: ['34+71=105', '105/5=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[2, 5, 34, 71], Operations: []
Exploring Operation: 2*5=10, Resulting Numbers: [34, 71, 10]
Generated Node #0,0: 19:[34, 71, 10] Operation: 2*5=10
Exploring Operation: 34/2=17, Resulting Numbers: [5, 71, 17]
Generated Node #0,1: 19:[5, 71, 17] Operation: 34/2=17
Exploring Operation: 71-34=37, Resulting Numbers: [2, 5, 37]
Generated Node #0,2: 19:[2, 5, 37] Operation: 71-34=37
Exploring Operation: 2+5=7, Resulting Numbers: [34, 71, 7]
Generated Node #0,3: 19:[34, 71, 7] Operation: 2+5=7
Moving to Node #0,2
Current State: 19:[2, 5, 37], Operations: ['71-34=37']
Exploring Operation: 37-5=32, Resulting Numbers: [2, 32]
Generated Node #0,2,0: 19:[2, 32] Operation: 37-5=32
Exploring Operation: 2*5=10, Resulting Numbers: [37, 10]
Generated Node #0,2,1: 19:[37, 10] Operation: 2*5=10
Exploring Operation: 2+5=7, Resulting Numbers: [37, 7]
Generated Node #0,2,2: 19:[37, 7] Operation: 2+5=7
Exploring Operation: 37-2=35, Resulting Numbers: [5, 35]
Generated Node #0,2,3: 19:[5, 35] Operation: 37-2=35
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[37, 10], Operations: ['71-34=37', '2*5=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 37*10=370, Resulting Numbers: [370]
370,19 unequal: No Solution
Exploring Operation: 37+10=47, Resulting Numbers: [47]
47,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[2, 32], Operations: ['71-34=37', '37-5=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,19 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[37, 7], Operations: ['71-34=37', '2+5=7']
Exploring Operation: 37*7=259, Resulting Numbers: [259]
259,19 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 37+7=44, Resulting Numbers: [44]
44,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 19:[5, 35], Operations: ['71-34=37', '37-2=35']
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,19 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,19 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: 19:[5, 71, 17], Operations: ['34/2=17']
Exploring Operation: 71-5=66, Resulting Numbers: [17, 66]
Generated Node #0,1,0: 19:[17, 66] Operation: 71-5=66
Exploring Operation: 5+17=22, Resulting Numbers: [71, 22]
Generated Node #0,1,1: 19:[71, 22] Operation: 5+17=22
Exploring Operation: 71-17=54, Resulting Numbers: [5, 54]
Generated Node #0,1,2: 19:[5, 54] Operation: 71-17=54
Exploring Operation: 5+71=76, Resulting Numbers: [17, 76]
Generated Node #0,1,3: 19:[17, 76] Operation: 5+71=76
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[17, 66], Operations: ['34/2=17', '71-5=66']
Exploring Operation: 17+66=83, Resulting Numbers: [83]
83,19 unequal: No Solution
Exploring Operation: 17*66=1122, Resulting Numbers: [1122]
1122,19 unequal: No Solution
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[5, 54], Operations: ['34/2=17', '71-17=54']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,19 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,19 unequal: No Solution
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[71, 22], Operations: ['34/2=17', '5+17=22']
Exploring Operation: 71+22=93, Resulting Numbers: [93]
93,19 unequal: No Solution
Exploring Operation: 71*22=1562, Resulting Numbers: [1562]
1562,19 unequal: No Solution
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 19:[17, 76], Operations: ['34/2=17', '5+71=76']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 17*76=1292, Resulting Numbers: [1292]
1292,19 unequal: No Solution
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,19 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: 19:[34, 71, 10], Operations: ['2*5=10']
Exploring Operation: 34+10=44, Resulting Numbers: [71, 44]
Generated Node #0,0,0: 19:[71, 44] Operation: 34+10=44
Exploring Operation: 34-10=24, Resulting Numbers: [71, 24]
Generated Node #0,0,1: 19:[71, 24] Operation: 34-10=24
Exploring Operation: 71-10=61, Resulting Numbers: [34, 61]
Generated Node #0,0,2: 19:[34, 61] Operation: 71-10=61
Exploring Operation: 71-34=37, Resulting Numbers: [10, 37]
Generated Node #0,0,3: 19:[10, 37] Operation: 71-34=37
Moving to Node #0,3
Current State: 19:[34, 71, 7], Operations: ['2+5=7']
Exploring Operation: 34-7=27, Resulting Numbers: [71, 27]
Generated Node #0,3,0: 19:[71, 27] Operation: 34-7=27
Exploring Operation: 71-7=64, Resulting Numbers: [34, 64]
Generated Node #0,3,1: 19:[34, 64] Operation: 71-7=64
Exploring Operation: 71-34=37, Resulting Numbers: [7, 37]
Generated Node #0,3,2: 19:[7, 37] Operation: 71-34=37
Exploring Operation: 34+7=41, Resulting Numbers: [71, 41]
Generated Node #0,3,3: 19:[71, 41] Operation: 34+7=41
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 19:[7, 37], Operations: ['2+5=7', '71-34=37']
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,19 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 19:[71, 27], Operations: ['2+5=7', '34-7=27']
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,19 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 19:[34, 64], Operations: ['2+5=7', '71-7=64']
Exploring Operation: 34*64=2176, Resulting Numbers: [2176]
2176,19 unequal: No Solution
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,19 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 19:[71, 41], Operations: ['2+5=7', '34+7=41']
Exploring Operation: 71+41=112, Resulting Numbers: [112]
112,19 unequal: No Solution
Exploring Operation: 71*41=2911, Resulting Numbers: [2911]
2911,19 unequal: No Solution
Exploring Operation: 71-41=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 19:[10, 37], Operations: ['2*5=10', '71-34=37']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Exploring Operation: 10*37=370, Resulting Numbers: [370]
370,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[34, 61], Operations: ['2*5=10', '71-10=61']
Exploring Operation: 34+61=95, Resulting Numbers: [95]
95,19 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 34*61=2074, Resulting Numbers: [2074]
2074,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[71, 24], Operations: ['2*5=10', '34-10=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Exploring Operation: 71*24=1704, Resulting Numbers: [1704]
1704,19 unequal: No Solution
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[71, 44], Operations: ['2*5=10', '34+10=44']
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,19 unequal: No Solution
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,19 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
87,
4,
93,
12
] | 19 | [
"87+93=180",
"180/12=15",
"4+15=19"
] | Current State: 19:[87, 4, 93, 12], Operations: []
Exploring Operation: 87+93=180, Resulting Numbers: [4, 12, 180]
Generated Node #2: [4, 12, 180] from Operation: 87+93=180
Current State: 19:[4, 12, 180], Operations: ['87+93=180']
Exploring Operation: 180/12=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 180/12=15
Current State: 19:[4, 15], Operations: ['87+93=180', '180/12=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[87, 4, 93, 12], Operations: []
Exploring Operation: 87-12=75, Resulting Numbers: [4, 93, 75]
Generated Node #0,0: 19:[4, 93, 75] Operation: 87-12=75
Exploring Operation: 93-87=6, Resulting Numbers: [4, 12, 6]
Generated Node #0,1: 19:[4, 12, 6] Operation: 93-87=6
Exploring Operation: 87-4=83, Resulting Numbers: [93, 12, 83]
Generated Node #0,2: 19:[93, 12, 83] Operation: 87-4=83
Exploring Operation: 93-4=89, Resulting Numbers: [87, 12, 89]
Generated Node #0,3: 19:[87, 12, 89] Operation: 93-4=89
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[4, 12, 6], Operations: ['93-87=6']
Exploring Operation: 4*6=24, Resulting Numbers: [12, 24]
Generated Node #0,1,0: 19:[12, 24] Operation: 4*6=24
Exploring Operation: 4+12=16, Resulting Numbers: [6, 16]
Generated Node #0,1,1: 19:[6, 16] Operation: 4+12=16
Exploring Operation: 4+6=10, Resulting Numbers: [12, 10]
Generated Node #0,1,2: 19:[12, 10] Operation: 4+6=10
Exploring Operation: 12+6=18, Resulting Numbers: [4, 18]
Generated Node #0,1,3: 19:[4, 18] Operation: 12+6=18
Moving to Node #0,1,0
Current State: 19:[12, 24], Operations: ['93-87=6', '4*6=24']
Exploring Operation: 12*24=288, Resulting Numbers: [288]
288,19 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[12, 10], Operations: ['93-87=6', '4+6=10']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[6, 16], Operations: ['93-87=6', '4+12=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Moving to Node #0,1,3
Current State: 19:[4, 18], Operations: ['93-87=6', '12+6=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[4, 93, 75], Operations: ['87-12=75']
Exploring Operation: 4+93=97, Resulting Numbers: [75, 97]
Generated Node #0,0,0: 19:[75, 97] Operation: 4+93=97
Exploring Operation: 75-4=71, Resulting Numbers: [93, 71]
Generated Node #0,0,1: 19:[93, 71] Operation: 75-4=71
Exploring Operation: 93-75=18, Resulting Numbers: [4, 18]
Generated Node #0,0,2: 19:[4, 18] Operation: 93-75=18
Exploring Operation: 93-4=89, Resulting Numbers: [75, 89]
Generated Node #0,0,3: 19:[75, 89] Operation: 93-4=89
Moving to Node #0,0,2
Current State: 19:[4, 18], Operations: ['87-12=75', '93-75=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Moving to Node #0,0,3
Current State: 19:[75, 89], Operations: ['87-12=75', '93-4=89']
Exploring Operation: 75*89=6675, Resulting Numbers: [6675]
6675,19 unequal: No Solution
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 75+89=164, Resulting Numbers: [164]
164,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[93, 71], Operations: ['87-12=75', '75-4=71']
Exploring Operation: 93-71=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 93+71=164, Resulting Numbers: [164]
164,19 unequal: No Solution
Exploring Operation: 93*71=6603, Resulting Numbers: [6603]
6603,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[75, 97], Operations: ['87-12=75', '4+93=97']
Exploring Operation: 97-75=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 75*97=7275, Resulting Numbers: [7275]
7275,19 unequal: No Solution
Exploring Operation: 75+97=172, Resulting Numbers: [172]
172,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[93, 12, 83], Operations: ['87-4=83']
Exploring Operation: 83-12=71, Resulting Numbers: [93, 71]
Generated Node #0,2,0: 19:[93, 71] Operation: 83-12=71
Exploring Operation: 93+12=105, Resulting Numbers: [83, 105]
Generated Node #0,2,1: 19:[83, 105] Operation: 93+12=105
Exploring Operation: 93-83=10, Resulting Numbers: [12, 10]
Generated Node #0,2,2: 19:[12, 10] Operation: 93-83=10
Exploring Operation: 93-12=81, Resulting Numbers: [83, 81]
Generated Node #0,2,3: 19:[83, 81] Operation: 93-12=81
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[12, 10], Operations: ['87-4=83', '93-83=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,19 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 19:[93, 71], Operations: ['87-4=83', '83-12=71']
Exploring Operation: 93*71=6603, Resulting Numbers: [6603]
6603,19 unequal: No Solution
Exploring Operation: 93-71=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 93+71=164, Resulting Numbers: [164]
164,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 19:[83, 81], Operations: ['87-4=83', '93-12=81']
Exploring Operation: 83*81=6723, Resulting Numbers: [6723]
6723,19 unequal: No Solution
Exploring Operation: 83+81=164, Resulting Numbers: [164]
164,19 unequal: No Solution
Exploring Operation: 83-81=2, Resulting Numbers: [2]
2,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 19:[83, 105], Operations: ['87-4=83', '93+12=105']
Exploring Operation: 105-83=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 83+105=188, Resulting Numbers: [188]
188,19 unequal: No Solution
Exploring Operation: 83*105=8715, Resulting Numbers: [8715]
8715,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[87, 12, 89], Operations: ['93-4=89']
Exploring Operation: 89-87=2, Resulting Numbers: [12, 2]
Generated Node #0,3,0: 19:[12, 2] Operation: 89-87=2
Exploring Operation: 87-12=75, Resulting Numbers: [89, 75]
Generated Node #0,3,1: 19:[89, 75] Operation: 87-12=75
Exploring Operation: 87+12=99, Resulting Numbers: [89, 99]
Generated Node #0,3,2: 19:[89, 99] Operation: 87+12=99
Exploring Operation: 89-12=77, Resulting Numbers: [87, 77]
Generated Node #0,3,3: 19:[87, 77] Operation: 89-12=77
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 19:[12, 2], Operations: ['93-4=89', '89-87=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[89, 75], Operations: ['93-4=89', '87-12=75']
Exploring Operation: 89+75=164, Resulting Numbers: [164]
164,19 unequal: No Solution
Exploring Operation: 89*75=6675, Resulting Numbers: [6675]
6675,19 unequal: No Solution
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 19:[87, 77], Operations: ['93-4=89', '89-12=77']
Exploring Operation: 87-77=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 87*77=6699, Resulting Numbers: [6699]
6699,19 unequal: No Solution
Exploring Operation: 87+77=164, Resulting Numbers: [164]
164,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[89, 99], Operations: ['93-4=89', '87+12=99']
Exploring Operation: 99-89=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 89+99=188, Resulting Numbers: [188]
188,19 unequal: No Solution
Exploring Operation: 89*99=8811, Resulting Numbers: [8811]
8811,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
87,
44,
81,
40
] | 90 | [
"87+44=131",
"81-40=41",
"131-41=90"
] | Current State: 90:[87, 44, 81, 40], Operations: []
Exploring Operation: 87+44=131, Resulting Numbers: [81, 40, 131]
Generated Node #2: [81, 40, 131] from Operation: 87+44=131
Current State: 90:[81, 40, 131], Operations: ['87+44=131']
Exploring Operation: 81-40=41, Resulting Numbers: [131, 41]
Generated Node #3: [131, 41] from Operation: 81-40=41
Current State: 90:[131, 41], Operations: ['87+44=131', '81-40=41']
Exploring Operation: 131-41=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[87, 44, 81, 40], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [44, 40, 6]
Generated Node #0,0: 90:[44, 40, 6] Operation: 87-81=6
Exploring Operation: 81-40=41, Resulting Numbers: [87, 44, 41]
Generated Node #0,1: 90:[87, 44, 41] Operation: 81-40=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[44, 40, 6], Operations: ['87-81=6']
Exploring Operation: 40+6=46, Resulting Numbers: [44, 46]
Generated Node #0,0,0: 90:[44, 46] Operation: 40+6=46
Exploring Operation: 44-40=4, Resulting Numbers: [6, 4]
Generated Node #0,0,1: 90:[6, 4] Operation: 44-40=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[6, 4], Operations: ['87-81=6', '44-40=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[44, 46], Operations: ['87-81=6', '40+6=46']
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[87, 44, 81, 40], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [44, 40, 6]
Generated Node #0,0: 90:[44, 40, 6] Operation: 87-81=6
Moving to Node #0,0
Current State: 90:[44, 40, 6], Operations: ['87-81=6']
Exploring Operation: 40+6=46, Resulting Numbers: [44, 46]
Generated Node #0,0,0: 90:[44, 46] Operation: 40+6=46
Moving to Node #0,0,0
Current State: 90:[44, 46], Operations: ['87-81=6', '40+6=46']
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
93,
7,
79,
43
] | 55 | [
"93-79=14",
"7*14=98",
"98-43=55"
] | Current State: 55:[93, 7, 79, 43], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [7, 43, 14]
Generated Node #2: [7, 43, 14] from Operation: 93-79=14
Current State: 55:[7, 43, 14], Operations: ['93-79=14']
Exploring Operation: 7*14=98, Resulting Numbers: [43, 98]
Generated Node #3: [43, 98] from Operation: 7*14=98
Current State: 55:[43, 98], Operations: ['93-79=14', '7*14=98']
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[93, 7, 79, 43], Operations: []
Exploring Operation: 93-43=50, Resulting Numbers: [7, 79, 50]
Generated Node #0,0: 55:[7, 79, 50] Operation: 93-43=50
Exploring Operation: 93-79=14, Resulting Numbers: [7, 43, 14]
Generated Node #0,1: 55:[7, 43, 14] Operation: 93-79=14
Exploring Operation: 79-43=36, Resulting Numbers: [93, 7, 36]
Generated Node #0,2: 55:[93, 7, 36] Operation: 79-43=36
Exploring Operation: 79-7=72, Resulting Numbers: [93, 43, 72]
Generated Node #0,3: 55:[93, 43, 72] Operation: 79-7=72
Exploring Operation: 93-7=86, Resulting Numbers: [79, 43, 86]
Generated Node #0,4: 55:[79, 43, 86] Operation: 93-7=86
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[7, 43, 14], Operations: ['93-79=14']
Exploring Operation: 43+14=57, Resulting Numbers: [7, 57]
Generated Node #0,1,0: 55:[7, 57] Operation: 43+14=57
Exploring Operation: 43-14=29, Resulting Numbers: [7, 29]
Generated Node #0,1,1: 55:[7, 29] Operation: 43-14=29
Exploring Operation: 7+43=50, Resulting Numbers: [14, 50]
Generated Node #0,1,2: 55:[14, 50] Operation: 7+43=50
Exploring Operation: 14/7=2, Resulting Numbers: [43, 2]
Generated Node #0,1,3: 55:[43, 2] Operation: 14/7=2
Exploring Operation: 14-7=7, Resulting Numbers: [43, 7]
Generated Node #0,1,4: 55:[43, 7] Operation: 14-7=7
Moving to Node #0,1,0
Current State: 55:[7, 57], Operations: ['93-79=14', '43+14=57']
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,55 unequal: No Solution
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[14, 50], Operations: ['93-79=14', '7+43=50']
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 14*50=700, Resulting Numbers: [700]
700,55 unequal: No Solution
Moving to Node #0,1,4
Current State: 55:[43, 7], Operations: ['93-79=14', '14-7=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 43*7=301, Resulting Numbers: [301]
301,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[43, 2], Operations: ['93-79=14', '14/7=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[7, 29], Operations: ['93-79=14', '43-14=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 7*29=203, Resulting Numbers: [203]
203,55 unequal: No Solution
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,55 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
Current State: 55:[7, 79, 50], Operations: ['93-43=50']
Exploring Operation: 50-7=43, Resulting Numbers: [79, 43]
Generated Node #0,0,0: 55:[79, 43] Operation: 50-7=43
Exploring Operation: 7+50=57, Resulting Numbers: [79, 57]
Generated Node #0,0,1: 55:[79, 57] Operation: 7+50=57
Exploring Operation: 7+79=86, Resulting Numbers: [50, 86]
Generated Node #0,0,2: 55:[50, 86] Operation: 7+79=86
Exploring Operation: 79-7=72, Resulting Numbers: [50, 72]
Generated Node #0,0,3: 55:[50, 72] Operation: 79-7=72
Exploring Operation: 79-50=29, Resulting Numbers: [7, 29]
Generated Node #0,0,4: 55:[7, 29] Operation: 79-50=29
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 55:[7, 29], Operations: ['93-43=50', '79-50=29']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 7*29=203, Resulting Numbers: [203]
203,55 unequal: No Solution
No 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: 55:[50, 72], Operations: ['93-43=50', '79-7=72']
Exploring Operation: 50*72=3600, Resulting Numbers: [3600]
3600,55 unequal: No Solution
Exploring Operation: 50+72=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,55 unequal: No Solution
No 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: 55:[79, 57], Operations: ['93-43=50', '7+50=57']
Exploring Operation: 79*57=4503, Resulting Numbers: [4503]
4503,55 unequal: No Solution
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 79+57=136, Resulting Numbers: [136]
136,55 unequal: No Solution
No 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: 55:[79, 43], Operations: ['93-43=50', '50-7=43']
Exploring Operation: 79*43=3397, Resulting Numbers: [3397]
3397,55 unequal: No Solution
Exploring Operation: 79+43=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Exploring Operation: 79-43=36, Resulting Numbers: [36]
36,55 unequal: No Solution
No 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: 55:[50, 86], Operations: ['93-43=50', '7+79=86']
Exploring Operation: 86-50=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 50+86=136, Resulting Numbers: [136]
136,55 unequal: No Solution
Exploring Operation: 50*86=4300, Resulting Numbers: [4300]
4300,55 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: 55:[93, 7, 36], Operations: ['79-43=36']
Exploring Operation: 93-36=57, Resulting Numbers: [7, 57]
Generated Node #0,2,0: 55:[7, 57] Operation: 93-36=57
Exploring Operation: 36-7=29, Resulting Numbers: [93, 29]
Generated Node #0,2,1: 55:[93, 29] Operation: 36-7=29
Exploring Operation: 93-7=86, Resulting Numbers: [36, 86]
Generated Node #0,2,2: 55:[36, 86] Operation: 93-7=86
Exploring Operation: 7+36=43, Resulting Numbers: [93, 43]
Generated Node #0,2,3: 55:[93, 43] Operation: 7+36=43
Exploring Operation: 93+7=100, Resulting Numbers: [36, 100]
Generated Node #0,2,4: 55:[36, 100] Operation: 93+7=100
Moving to Node #0,2,0
Current State: 55:[7, 57], Operations: ['79-43=36', '93-36=57']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,55 unequal: No Solution
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[93, 43], Operations: ['79-43=36', '7+36=43']
Exploring Operation: 93+43=136, Resulting Numbers: [136]
136,55 unequal: No Solution
Exploring Operation: 93*43=3999, Resulting Numbers: [3999]
3999,55 unequal: No Solution
Exploring Operation: 93-43=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[36, 86], Operations: ['79-43=36', '93-7=86']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 36+86=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Exploring Operation: 36*86=3096, Resulting Numbers: [3096]
3096,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[93, 29], Operations: ['79-43=36', '36-7=29']
Exploring Operation: 93+29=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Exploring Operation: 93*29=2697, Resulting Numbers: [2697]
2697,55 unequal: No Solution
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Moving to Node #0,2,4
Current State: 55:[36, 100], Operations: ['79-43=36', '93+7=100']
Exploring Operation: 36*100=3600, Resulting Numbers: [3600]
3600,55 unequal: No Solution
Exploring Operation: 36+100=136, Resulting Numbers: [136]
136,55 unequal: No Solution
Exploring Operation: 100-36=64, Resulting Numbers: [64]
64,55 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 #0,3
Current State: 55:[93, 43, 72], Operations: ['79-7=72']
Exploring Operation: 72-43=29, Resulting Numbers: [93, 29]
Generated Node #0,3,0: 55:[93, 29] Operation: 72-43=29
Exploring Operation: 93-72=21, Resulting Numbers: [43, 21]
Generated Node #0,3,1: 55:[43, 21] Operation: 93-72=21
Exploring Operation: 93+43=136, Resulting Numbers: [72, 136]
Generated Node #0,3,2: 55:[72, 136] Operation: 93+43=136
Exploring Operation: 43+72=115, Resulting Numbers: [93, 115]
Generated Node #0,3,3: 55:[93, 115] Operation: 43+72=115
Exploring Operation: 93-43=50, Resulting Numbers: [72, 50]
Generated Node #0,3,4: 55:[72, 50] Operation: 93-43=50
Moving to Node #0,3,1
Current State: 55:[43, 21], Operations: ['79-7=72', '93-72=21']
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,55 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Moving to Node #0,3,4
Current State: 55:[72, 50], Operations: ['79-7=72', '93-43=50']
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 72*50=3600, Resulting Numbers: [3600]
3600,55 unequal: No Solution
Exploring Operation: 72+50=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[93, 29], Operations: ['79-7=72', '72-43=29']
Exploring Operation: 93*29=2697, Resulting Numbers: [2697]
2697,55 unequal: No Solution
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 93+29=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[72, 136], Operations: ['79-7=72', '93+43=136']
Exploring Operation: 72+136=208, Resulting Numbers: [208]
208,55 unequal: No Solution
Exploring Operation: 136-72=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 72*136=9792, Resulting Numbers: [9792]
9792,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[93, 115], Operations: ['79-7=72', '43+72=115']
Exploring Operation: 93+115=208, Resulting Numbers: [208]
208,55 unequal: No Solution
Exploring Operation: 115-93=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 93*115=10695, Resulting Numbers: [10695]
10695,55 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 #0,4
Current State: 55:[79, 43, 86], Operations: ['93-7=86']
Exploring Operation: 86-43=43, Resulting Numbers: [79, 43]
Generated Node #0,4,0: 55:[79, 43] Operation: 86-43=43
Exploring Operation: 86-79=7, Resulting Numbers: [43, 7]
Generated Node #0,4,1: 55:[43, 7] Operation: 86-79=7
Exploring Operation: 86/43=2, Resulting Numbers: [79, 2]
Generated Node #0,4,2: 55:[79, 2] Operation: 86/43=2
Exploring Operation: 79+43=122, Resulting Numbers: [86, 122]
Generated Node #0,4,3: 55:[86, 122] Operation: 79+43=122
Exploring Operation: 79-43=36, Resulting Numbers: [86, 36]
Generated Node #0,4,4: 55:[86, 36] Operation: 79-43=36
Moving to Node #0,4,1
Current State: 55:[43, 7], Operations: ['93-7=86', '86-79=7']
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 43*7=301, Resulting Numbers: [301]
301,55 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Moving to Node #0,4,2
Current State: 55:[79, 2], Operations: ['93-7=86', '86/43=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,55 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,55 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,55 unequal: No Solution
Moving to Node #0,4,0
Current State: 55:[79, 43], Operations: ['93-7=86', '86-43=43']
Exploring Operation: 79*43=3397, Resulting Numbers: [3397]
3397,55 unequal: No Solution
Exploring Operation: 79+43=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Exploring Operation: 79-43=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Moving to Node #0,4,4
Current State: 55:[86, 36], Operations: ['93-7=86', '79-43=36']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 86*36=3096, Resulting Numbers: [3096]
3096,55 unequal: No Solution
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,55 unequal: No Solution
Moving to Node #0,4,3
Current State: 55:[86, 122], Operations: ['93-7=86', '79+43=122']
Exploring Operation: 86+122=208, Resulting Numbers: [208]
208,55 unequal: No Solution
Exploring Operation: 122-86=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 86*122=10492, Resulting Numbers: [10492]
10492,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
55,
65,
35
] | 50 | [
"2*35=70",
"55+65=120",
"120-70=50"
] | Current State: 50:[2, 55, 65, 35], Operations: []
Exploring Operation: 2*35=70, Resulting Numbers: [55, 65, 70]
Generated Node #2: [55, 65, 70] from Operation: 2*35=70
Current State: 50:[55, 65, 70], Operations: ['2*35=70']
Exploring Operation: 55+65=120, Resulting Numbers: [70, 120]
Generated Node #3: [70, 120] from Operation: 55+65=120
Current State: 50:[70, 120], Operations: ['2*35=70', '55+65=120']
Exploring Operation: 120-70=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[2, 55, 65, 35], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [2, 55, 30]
Generated Node #0,0: 50:[2, 55, 30] Operation: 65-35=30
Exploring Operation: 65-55=10, Resulting Numbers: [2, 35, 10]
Generated Node #0,1: 50:[2, 35, 10] Operation: 65-55=10
Exploring Operation: 55-35=20, Resulting Numbers: [2, 65, 20]
Generated Node #0,2: 50:[2, 65, 20] Operation: 55-35=20
Moving to Node #0,0
Current State: 50:[2, 55, 30], Operations: ['65-35=30']
Exploring Operation: 30-2=28, Resulting Numbers: [55, 28]
Generated Node #0,0,0: 50:[55, 28] Operation: 30-2=28
Exploring Operation: 55-30=25, Resulting Numbers: [2, 25]
Generated Node #0,0,1: 50:[2, 25] Operation: 55-30=25
Exploring Operation: 55-2=53, Resulting Numbers: [30, 53]
Generated Node #0,0,2: 50:[30, 53] Operation: 55-2=53
Moving to Node #0,1
Current State: 50:[2, 35, 10], Operations: ['65-55=10']
Exploring Operation: 35-2=33, Resulting Numbers: [10, 33]
Generated Node #0,1,0: 50:[10, 33] Operation: 35-2=33
Exploring Operation: 35+10=45, Resulting Numbers: [2, 45]
Generated Node #0,1,1: 50:[2, 45] Operation: 35+10=45
Exploring Operation: 35-10=25, Resulting Numbers: [2, 25]
Generated Node #0,1,2: 50:[2, 25] Operation: 35-10=25
Moving to Node #0,2
Current State: 50:[2, 65, 20], Operations: ['55-35=20']
Exploring Operation: 20/2=10, Resulting Numbers: [65, 10]
Generated Node #0,2,0: 50:[65, 10] Operation: 20/2=10
Exploring Operation: 65-20=45, Resulting Numbers: [2, 45]
Generated Node #0,2,1: 50:[2, 45] Operation: 65-20=45
Exploring Operation: 65-2=63, Resulting Numbers: [20, 63]
Generated Node #0,2,2: 50:[20, 63] Operation: 65-2=63
Moving to Node #0,0,1
Current State: 50:[2, 25], Operations: ['65-35=30', '55-30=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[2, 55, 65, 35], Operations: []
Exploring Operation: 65-35=30, Resulting Numbers: [2, 55, 30]
Generated Node #0,0: 50:[2, 55, 30] Operation: 65-35=30
Moving to Node #0,0
Current State: 50:[2, 55, 30], Operations: ['65-35=30']
Exploring Operation: 55-30=25, Resulting Numbers: [2, 25]
Generated Node #0,0,1: 50:[2, 25] Operation: 55-30=25
Moving to Node #0,0,1
Current State: 50:[2, 25], Operations: ['65-35=30', '55-30=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.984375 | hs_3 | sum_heuristic |
[
25,
27,
29,
63
] | 40 | [
"25+27=52",
"29+63=92",
"92-52=40"
] | Current State: 40:[25, 27, 29, 63], Operations: []
Exploring Operation: 25+27=52, Resulting Numbers: [29, 63, 52]
Generated Node #2: [29, 63, 52] from Operation: 25+27=52
Current State: 40:[29, 63, 52], Operations: ['25+27=52']
Exploring Operation: 29+63=92, Resulting Numbers: [52, 92]
Generated Node #3: [52, 92] from Operation: 29+63=92
Current State: 40:[52, 92], Operations: ['25+27=52', '29+63=92']
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[25, 27, 29, 63], Operations: []
Exploring Operation: 63-25=38, Resulting Numbers: [27, 29, 38]
Generated Node #0,0: 40:[27, 29, 38] Operation: 63-25=38
Exploring Operation: 63-27=36, Resulting Numbers: [25, 29, 36]
Generated Node #0,1: 40:[25, 29, 36] Operation: 63-27=36
Exploring Operation: 29-27=2, Resulting Numbers: [25, 63, 2]
Generated Node #0,2: 40:[25, 63, 2] Operation: 29-27=2
Exploring Operation: 63-29=34, Resulting Numbers: [25, 27, 34]
Generated Node #0,3: 40:[25, 27, 34] Operation: 63-29=34
Moving to Node #0,0
Current State: 40:[27, 29, 38], Operations: ['63-25=38']
Exploring Operation: 29-27=2, Resulting Numbers: [38, 2]
Generated Node #0,0,0: 40:[38, 2] Operation: 29-27=2
Exploring Operation: 27+29=56, Resulting Numbers: [38, 56]
Generated Node #0,0,1: 40:[38, 56] Operation: 27+29=56
Exploring Operation: 38-29=9, Resulting Numbers: [27, 9]
Generated Node #0,0,2: 40:[27, 9] Operation: 38-29=9
Exploring Operation: 38-27=11, Resulting Numbers: [29, 11]
Generated Node #0,0,3: 40:[29, 11] Operation: 38-27=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[38, 2], Operations: ['63-25=38', '29-27=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,40 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[25, 27, 29, 63], Operations: []
Exploring Operation: 63-25=38, Resulting Numbers: [27, 29, 38]
Generated Node #0,0: 40:[27, 29, 38] Operation: 63-25=38
Moving to Node #0,0
Current State: 40:[27, 29, 38], Operations: ['63-25=38']
Exploring Operation: 29-27=2, Resulting Numbers: [38, 2]
Generated Node #0,0,0: 40:[38, 2] Operation: 29-27=2
Moving to Node #0,0,0
Current State: 40:[38, 2], Operations: ['63-25=38', '29-27=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
93,
2,
34,
15
] | 37 | [
"93-34=59",
"15+59=74",
"74/2=37"
] | Current State: 37:[93, 2, 34, 15], Operations: []
Exploring Operation: 93-34=59, Resulting Numbers: [2, 15, 59]
Generated Node #2: [2, 15, 59] from Operation: 93-34=59
Current State: 37:[2, 15, 59], Operations: ['93-34=59']
Exploring Operation: 15+59=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 15+59=74
Current State: 37:[2, 74], Operations: ['93-34=59', '15+59=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[93, 2, 34, 15], Operations: []
Exploring Operation: 2*15=30, Resulting Numbers: [93, 34, 30]
Generated Node #0,0: 37:[93, 34, 30] Operation: 2*15=30
Exploring Operation: 93-2=91, Resulting Numbers: [34, 15, 91]
Generated Node #0,1: 37:[34, 15, 91] Operation: 93-2=91
Moving to Node #0,0
Current State: 37:[93, 34, 30], Operations: ['2*15=30']
Exploring Operation: 93-34=59, Resulting Numbers: [30, 59]
Generated Node #0,0,0: 37:[30, 59] Operation: 93-34=59
Exploring Operation: 93-30=63, Resulting Numbers: [34, 63]
Generated Node #0,0,1: 37:[34, 63] Operation: 93-30=63
Moving to Node #0,1
Current State: 37:[34, 15, 91], Operations: ['93-2=91']
Exploring Operation: 91-34=57, Resulting Numbers: [15, 57]
Generated Node #0,1,0: 37:[15, 57] Operation: 91-34=57
Exploring Operation: 91-15=76, Resulting Numbers: [34, 76]
Generated Node #0,1,1: 37:[34, 76] Operation: 91-15=76
Moving to Node #0,0,0
Current State: 37:[30, 59], Operations: ['2*15=30', '93-34=59']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[34, 63], Operations: ['2*15=30', '93-30=63']
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 34+63=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[34, 76], Operations: ['93-2=91', '91-15=76']
Exploring Operation: 34+76=110, Resulting Numbers: [110]
110,37 unequal: No Solution
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[15, 57], Operations: ['93-2=91', '91-34=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,37 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
64,
19,
35,
58
] | 16 | [
"19+35=54",
"58-54=4",
"64/4=16"
] | Current State: 16:[64, 19, 35, 58], Operations: []
Exploring Operation: 19+35=54, Resulting Numbers: [64, 58, 54]
Generated Node #2: [64, 58, 54] from Operation: 19+35=54
Current State: 16:[64, 58, 54], Operations: ['19+35=54']
Exploring Operation: 58-54=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 58-54=4
Current State: 16:[64, 4], Operations: ['19+35=54', '58-54=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[64, 19, 35, 58], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [19, 35, 6]
Generated Node #0,0: 16:[19, 35, 6] Operation: 64-58=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[19, 35, 6], Operations: ['64-58=6']
Exploring Operation: 35-19=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 16:[6, 16] Operation: 35-19=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[6, 16], Operations: ['64-58=6', '35-19=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
80,
22,
69
] | 31 | [
"80-20=60",
"22+69=91",
"91-60=31"
] | Current State: 31:[20, 80, 22, 69], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [22, 69, 60]
Generated Node #2: [22, 69, 60] from Operation: 80-20=60
Current State: 31:[22, 69, 60], Operations: ['80-20=60']
Exploring Operation: 22+69=91, Resulting Numbers: [60, 91]
Generated Node #3: [60, 91] from Operation: 22+69=91
Current State: 31:[60, 91], Operations: ['80-20=60', '22+69=91']
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[20, 80, 22, 69], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [22, 69, 4]
Generated Node #0,0: 31:[22, 69, 4] Operation: 80/20=4
Exploring Operation: 80-20=60, Resulting Numbers: [22, 69, 60]
Generated Node #0,1: 31:[22, 69, 60] Operation: 80-20=60
Exploring Operation: 69-20=49, Resulting Numbers: [80, 22, 49]
Generated Node #0,2: 31:[80, 22, 49] Operation: 69-20=49
Exploring Operation: 80-69=11, Resulting Numbers: [20, 22, 11]
Generated Node #0,3: 31:[20, 22, 11] Operation: 80-69=11
Moving to Node #0,3
Current State: 31:[20, 22, 11], Operations: ['80-69=11']
Exploring Operation: 20-11=9, Resulting Numbers: [22, 9]
Generated Node #0,3,0: 31:[22, 9] Operation: 20-11=9
Exploring Operation: 22+11=33, Resulting Numbers: [20, 33]
Generated Node #0,3,1: 31:[20, 33] Operation: 22+11=33
Exploring Operation: 20+11=31, Resulting Numbers: [22, 31]
Generated Node #0,3,2: 31:[22, 31] Operation: 20+11=31
Exploring Operation: 20+22=42, Resulting Numbers: [11, 42]
Generated Node #0,3,3: 31:[11, 42] Operation: 20+22=42
Moving to Node #0,0
Current State: 31:[22, 69, 4], Operations: ['80/20=4']
Exploring Operation: 69-22=47, Resulting Numbers: [4, 47]
Generated Node #0,0,0: 31:[4, 47] Operation: 69-22=47
Exploring Operation: 22+4=26, Resulting Numbers: [69, 26]
Generated Node #0,0,1: 31:[69, 26] Operation: 22+4=26
Exploring Operation: 69-4=65, Resulting Numbers: [22, 65]
Generated Node #0,0,2: 31:[22, 65] Operation: 69-4=65
Exploring Operation: 22-4=18, Resulting Numbers: [69, 18]
Generated Node #0,0,3: 31:[69, 18] Operation: 22-4=18
Moving to Node #0,2
Current State: 31:[80, 22, 49], Operations: ['69-20=49']
Exploring Operation: 80+22=102, Resulting Numbers: [49, 102]
Generated Node #0,2,0: 31:[49, 102] Operation: 80+22=102
Exploring Operation: 80-49=31, Resulting Numbers: [22, 31]
Generated Node #0,2,1: 31:[22, 31] Operation: 80-49=31
Exploring Operation: 49-22=27, Resulting Numbers: [80, 27]
Generated Node #0,2,2: 31:[80, 27] Operation: 49-22=27
Exploring Operation: 80-22=58, Resulting Numbers: [49, 58]
Generated Node #0,2,3: 31:[49, 58] Operation: 80-22=58
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[22, 31], Operations: ['69-20=49', '80-49=31']
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,31 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 31:[49, 58], Operations: ['69-20=49', '80-22=58']
Exploring Operation: 49*58=2842, Resulting Numbers: [2842]
2842,31 unequal: No Solution
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 49+58=107, Resulting Numbers: [107]
107,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[80, 27], Operations: ['69-20=49', '49-22=27']
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 80*27=2160, Resulting Numbers: [2160]
2160,31 unequal: No Solution
Exploring Operation: 80+27=107, Resulting Numbers: [107]
107,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[49, 102], Operations: ['69-20=49', '80+22=102']
Exploring Operation: 49+102=151, Resulting Numbers: [151]
151,31 unequal: No Solution
Exploring Operation: 102-49=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 49*102=4998, Resulting Numbers: [4998]
4998,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 31:[22, 69, 60], Operations: ['80-20=60']
Exploring Operation: 69-60=9, Resulting Numbers: [22, 9]
Generated Node #0,1,0: 31:[22, 9] Operation: 69-60=9
Exploring Operation: 22+69=91, Resulting Numbers: [60, 91]
Generated Node #0,1,1: 31:[60, 91] Operation: 22+69=91
Exploring Operation: 60-22=38, Resulting Numbers: [69, 38]
Generated Node #0,1,2: 31:[69, 38] Operation: 60-22=38
Exploring Operation: 69-22=47, Resulting Numbers: [60, 47]
Generated Node #0,1,3: 31:[60, 47] Operation: 69-22=47
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[22, 9], Operations: ['80-20=60', '69-60=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[20, 80, 22, 69], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [22, 69, 60]
Generated Node #0,1: 31:[22, 69, 60] Operation: 80-20=60
Moving to Node #0,1
Current State: 31:[22, 69, 60], Operations: ['80-20=60']
Exploring Operation: 69-60=9, Resulting Numbers: [22, 9]
Generated Node #0,1,0: 31:[22, 9] Operation: 69-60=9
Moving to Node #0,1,0
Current State: 31:[22, 9], Operations: ['80-20=60', '69-60=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
84,
77,
18,
2
] | 32 | [
"84-77=7",
"2*7=14",
"18+14=32"
] | Current State: 32:[84, 77, 18, 2], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [18, 2, 7]
Generated Node #2: [18, 2, 7] from Operation: 84-77=7
Current State: 32:[18, 2, 7], Operations: ['84-77=7']
Exploring Operation: 2*7=14, Resulting Numbers: [18, 14]
Generated Node #3: [18, 14] from Operation: 2*7=14
Current State: 32:[18, 14], Operations: ['84-77=7', '2*7=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[84, 77, 18, 2], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [18, 2, 7]
Generated Node #0,0: 32:[18, 2, 7] Operation: 84-77=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[18, 2, 7], Operations: ['84-77=7']
Exploring Operation: 18-2=16, Resulting Numbers: [7, 16]
Generated Node #0,0,0: 32:[7, 16] Operation: 18-2=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[7, 16], Operations: ['84-77=7', '18-2=16']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
90,
41,
42,
41
] | 49 | [
"90-41=49",
"42-41=1",
"49*1=49"
] | Current State: 49:[90, 41, 42, 41], Operations: []
Exploring Operation: 90-41=49, Resulting Numbers: [42, 49]
Generated Node #2: [42, 49] from Operation: 90-41=49
Current State: 49:[42, 49], Operations: ['90-41=49']
Exploring Operation: 42-41=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 42-41=1
Current State: 49:[49, 1], Operations: ['90-41=49', '42-41=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[90, 41, 42, 41], Operations: []
Exploring Operation: 90-41=49, Resulting Numbers: [41, 42, 49]
Generated Node #0,0: 49:[41, 42, 49] Operation: 90-41=49
Exploring Operation: 90-41=49, Resulting Numbers: [42, 41, 49]
Generated Node #0,1: 49:[42, 41, 49] Operation: 90-41=49
Moving to Node #0,0
Current State: 49:[41, 42, 49], Operations: ['90-41=49']
Exploring Operation: 49-41=8, Resulting Numbers: [42, 8]
Generated Node #0,0,0: 49:[42, 8] Operation: 49-41=8
Exploring Operation: 42-41=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 49:[49, 1] Operation: 42-41=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[49, 1], Operations: ['90-41=49', '42-41=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[90, 41, 42, 41], Operations: []
Exploring Operation: 90-41=49, Resulting Numbers: [41, 42, 49]
Generated Node #0,0: 49:[41, 42, 49] Operation: 90-41=49
Moving to Node #0,0
Current State: 49:[41, 42, 49], Operations: ['90-41=49']
Exploring Operation: 42-41=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 49:[49, 1] Operation: 42-41=1
Moving to Node #0,0,1
Current State: 49:[49, 1], Operations: ['90-41=49', '42-41=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.