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 |
|---|---|---|---|---|---|---|---|---|
[
46,
31,
68,
45
] | 71 | [
"46-31=15",
"45/15=3",
"68+3=71"
] | Current State: 71:[46, 31, 68, 45], Operations: []
Exploring Operation: 46-31=15, Resulting Numbers: [68, 45, 15]
Generated Node #2: [68, 45, 15] from Operation: 46-31=15
Current State: 71:[68, 45, 15], Operations: ['46-31=15']
Exploring Operation: 45/15=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 45/15=3
Current State: 71:[68, 3], Operations: ['46-31=15', '45/15=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[46, 31, 68, 45], Operations: []
Exploring Operation: 46+31=77, Resulting Numbers: [68, 45, 77]
Generated Node #0,0: 71:[68, 45, 77] Operation: 46+31=77
Exploring Operation: 31+45=76, Resulting Numbers: [46, 68, 76]
Generated Node #0,1: 71:[46, 68, 76] Operation: 31+45=76
Moving to Node #0,1
Current State: 71:[46, 68, 76], Operations: ['31+45=76']
Exploring Operation: 76-46=30, Resulting Numbers: [68, 30]
Generated Node #0,1,0: 71:[68, 30] Operation: 76-46=30
Exploring Operation: 46+68=114, Resulting Numbers: [76, 114]
Generated Node #0,1,1: 71:[76, 114] Operation: 46+68=114
Moving to Node #0,0
Current State: 71:[68, 45, 77], Operations: ['46+31=77']
Exploring Operation: 68+45=113, Resulting Numbers: [77, 113]
Generated Node #0,0,0: 71:[77, 113] Operation: 68+45=113
Exploring Operation: 77-45=32, Resulting Numbers: [68, 32]
Generated Node #0,0,1: 71:[68, 32] Operation: 77-45=32
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[68, 32], Operations: ['46+31=77', '77-45=32']
Exploring Operation: 68-32=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 68+32=100, Resulting Numbers: [100]
100,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[77, 113], Operations: ['46+31=77', '68+45=113']
Exploring Operation: 77+113=190, Resulting Numbers: [190]
190,71 unequal: No Solution
Exploring Operation: 113-77=36, Resulting Numbers: [36]
36,71 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: 71:[68, 30], Operations: ['31+45=76', '76-46=30']
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,71 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[76, 114], Operations: ['31+45=76', '46+68=114']
Exploring Operation: 76+114=190, Resulting Numbers: [190]
190,71 unequal: No Solution
Exploring Operation: 114-76=38, Resulting Numbers: [38]
38,71 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
7,
44,
4,
61
] | 64 | [
"7*44=308",
"4*61=244",
"308-244=64"
] | Current State: 64:[7, 44, 4, 61], Operations: []
Exploring Operation: 7*44=308, Resulting Numbers: [4, 61, 308]
Generated Node #2: [4, 61, 308] from Operation: 7*44=308
Current State: 64:[4, 61, 308], Operations: ['7*44=308']
Exploring Operation: 4*61=244, Resulting Numbers: [308, 244]
Generated Node #3: [308, 244] from Operation: 4*61=244
Current State: 64:[308, 244], Operations: ['7*44=308', '4*61=244']
Exploring Operation: 308-244=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[7, 44, 4, 61], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [7, 4, 17]
Generated Node #0,0: 64:[7, 4, 17] Operation: 61-44=17
Exploring Operation: 44-7=37, Resulting Numbers: [4, 61, 37]
Generated Node #0,1: 64:[4, 61, 37] Operation: 44-7=37
Exploring Operation: 44/4=11, Resulting Numbers: [7, 61, 11]
Generated Node #0,2: 64:[7, 61, 11] Operation: 44/4=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[7, 4, 17], Operations: ['61-44=17']
Exploring Operation: 7-4=3, Resulting Numbers: [17, 3]
Generated Node #0,0,0: 64:[17, 3] Operation: 7-4=3
Exploring Operation: 7+4=11, Resulting Numbers: [17, 11]
Generated Node #0,0,1: 64:[17, 11] Operation: 7+4=11
Exploring Operation: 17-7=10, Resulting Numbers: [4, 10]
Generated Node #0,0,2: 64:[4, 10] Operation: 17-7=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[17, 3], Operations: ['61-44=17', '7-4=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,64 unequal: No Solution
No 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: 64:[4, 10], Operations: ['61-44=17', '17-7=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,64 unequal: No Solution
No 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: 64:[17, 11], Operations: ['61-44=17', '7+4=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,64 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,64 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: 64:[7, 61, 11], Operations: ['44/4=11']
Exploring Operation: 11-7=4, Resulting Numbers: [61, 4]
Generated Node #0,2,0: 64:[61, 4] Operation: 11-7=4
Exploring Operation: 7+11=18, Resulting Numbers: [61, 18]
Generated Node #0,2,1: 64:[61, 18] Operation: 7+11=18
Exploring Operation: 7+61=68, Resulting Numbers: [11, 68]
Generated Node #0,2,2: 64:[11, 68] Operation: 7+61=68
Moving to Node #0,2,0
Current State: 64:[61, 4], Operations: ['44/4=11', '11-7=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,64 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[61, 18], Operations: ['44/4=11', '7+11=18']
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,64 unequal: No Solution
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[11, 68], Operations: ['44/4=11', '7+61=68']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 11+68=79, Resulting Numbers: [79]
79,64 unequal: No Solution
Exploring Operation: 11*68=748, Resulting Numbers: [748]
748,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[4, 61, 37], Operations: ['44-7=37']
Exploring Operation: 37-4=33, Resulting Numbers: [61, 33]
Generated Node #0,1,0: 64:[61, 33] Operation: 37-4=33
Exploring Operation: 61-37=24, Resulting Numbers: [4, 24]
Generated Node #0,1,1: 64:[4, 24] Operation: 61-37=24
Exploring Operation: 4+61=65, Resulting Numbers: [37, 65]
Generated Node #0,1,2: 64:[37, 65] Operation: 4+61=65
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[61, 33], Operations: ['44-7=37', '37-4=33']
Exploring Operation: 61*33=2013, Resulting Numbers: [2013]
2013,64 unequal: No Solution
Exploring Operation: 61+33=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,64 unequal: No Solution
No 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: 64:[37, 65], Operations: ['44-7=37', '4+61=65']
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 37*65=2405, Resulting Numbers: [2405]
2405,64 unequal: No Solution
Exploring Operation: 37+65=102, Resulting Numbers: [102]
102,64 unequal: No Solution
No 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: 64:[4, 24], Operations: ['44-7=37', '61-37=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
25,
11,
28,
50
] | 67 | [
"50/25=2",
"28*2=56",
"11+56=67"
] | Current State: 67:[25, 11, 28, 50], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [11, 28, 2]
Generated Node #2: [11, 28, 2] from Operation: 50/25=2
Current State: 67:[11, 28, 2], Operations: ['50/25=2']
Exploring Operation: 28*2=56, Resulting Numbers: [11, 56]
Generated Node #3: [11, 56] from Operation: 28*2=56
Current State: 67:[11, 56], Operations: ['50/25=2', '28*2=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[25, 11, 28, 50], Operations: []
Exploring Operation: 25+11=36, Resulting Numbers: [28, 50, 36]
Generated Node #0,0: 67:[28, 50, 36] Operation: 25+11=36
Exploring Operation: 25+28=53, Resulting Numbers: [11, 50, 53]
Generated Node #0,1: 67:[11, 50, 53] Operation: 25+28=53
Exploring Operation: 11+50=61, Resulting Numbers: [25, 28, 61]
Generated Node #0,2: 67:[25, 28, 61] Operation: 11+50=61
Exploring Operation: 11+28=39, Resulting Numbers: [25, 50, 39]
Generated Node #0,3: 67:[25, 50, 39] Operation: 11+28=39
Exploring Operation: 25+50=75, Resulting Numbers: [11, 28, 75]
Generated Node #0,4: 67:[11, 28, 75] Operation: 25+50=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[28, 50, 36], Operations: ['25+11=36']
Exploring Operation: 50-28=22, Resulting Numbers: [36, 22]
Generated Node #0,0,0: 67:[36, 22] Operation: 50-28=22
Exploring Operation: 36-28=8, Resulting Numbers: [50, 8]
Generated Node #0,0,1: 67:[50, 8] Operation: 36-28=8
Exploring Operation: 28+50=78, Resulting Numbers: [36, 78]
Generated Node #0,0,2: 67:[36, 78] Operation: 28+50=78
Exploring Operation: 50+36=86, Resulting Numbers: [28, 86]
Generated Node #0,0,3: 67:[28, 86] Operation: 50+36=86
Exploring Operation: 28+36=64, Resulting Numbers: [50, 64]
Generated Node #0,0,4: 67:[50, 64] Operation: 28+36=64
Moving to Node #0,0,4
Current State: 67:[50, 64], Operations: ['25+11=36', '28+36=64']
Exploring Operation: 50*64=3200, Resulting Numbers: [3200]
3200,67 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 50+64=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[36, 78], Operations: ['25+11=36', '28+50=78']
Exploring Operation: 36*78=2808, Resulting Numbers: [2808]
2808,67 unequal: No Solution
Exploring Operation: 36+78=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 78-36=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[28, 86], Operations: ['25+11=36', '50+36=86']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Exploring Operation: 28+86=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 28*86=2408, Resulting Numbers: [2408]
2408,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[36, 22], Operations: ['25+11=36', '50-28=22']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,67 unequal: No Solution
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[50, 8], Operations: ['25+11=36', '36-28=8']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,67 unequal: No Solution
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[11, 50, 53], Operations: ['25+28=53']
Exploring Operation: 50+53=103, Resulting Numbers: [11, 103]
Generated Node #0,1,0: 67:[11, 103] Operation: 50+53=103
Exploring Operation: 53-11=42, Resulting Numbers: [50, 42]
Generated Node #0,1,1: 67:[50, 42] Operation: 53-11=42
Exploring Operation: 11+50=61, Resulting Numbers: [53, 61]
Generated Node #0,1,2: 67:[53, 61] Operation: 11+50=61
Exploring Operation: 11+53=64, Resulting Numbers: [50, 64]
Generated Node #0,1,3: 67:[50, 64] Operation: 11+53=64
Exploring Operation: 50-11=39, Resulting Numbers: [53, 39]
Generated Node #0,1,4: 67:[53, 39] Operation: 50-11=39
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[53, 61], Operations: ['25+28=53', '11+50=61']
Exploring Operation: 53*61=3233, Resulting Numbers: [3233]
3233,67 unequal: No Solution
Exploring Operation: 53+61=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[50, 64], Operations: ['25+28=53', '11+53=64']
Exploring Operation: 50+64=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 50*64=3200, Resulting Numbers: [3200]
3200,67 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[50, 42], Operations: ['25+28=53', '53-11=42']
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 50+42=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 50*42=2100, Resulting Numbers: [2100]
2100,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 67:[53, 39], Operations: ['25+28=53', '50-11=39']
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 53+39=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 53*39=2067, Resulting Numbers: [2067]
2067,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[11, 103], Operations: ['25+28=53', '50+53=103']
Exploring Operation: 11+103=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 103-11=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 11*103=1133, Resulting Numbers: [1133]
1133,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[25, 28, 61], Operations: ['11+50=61']
Exploring Operation: 61-25=36, Resulting Numbers: [28, 36]
Generated Node #0,2,0: 67:[28, 36] Operation: 61-25=36
Exploring Operation: 28+61=89, Resulting Numbers: [25, 89]
Generated Node #0,2,1: 67:[25, 89] Operation: 28+61=89
Exploring Operation: 28-25=3, Resulting Numbers: [61, 3]
Generated Node #0,2,2: 67:[61, 3] Operation: 28-25=3
Exploring Operation: 25+28=53, Resulting Numbers: [61, 53]
Generated Node #0,2,3: 67:[61, 53] Operation: 25+28=53
Exploring Operation: 25+61=86, Resulting Numbers: [28, 86]
Generated Node #0,2,4: 67:[28, 86] Operation: 25+61=86
Moving to Node #0,2,3
Current State: 67:[61, 53], Operations: ['11+50=61', '25+28=53']
Exploring Operation: 61*53=3233, Resulting Numbers: [3233]
3233,67 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 61+53=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Moving to Node #0,2,4
Current State: 67:[28, 86], Operations: ['11+50=61', '25+61=86']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Exploring Operation: 28*86=2408, Resulting Numbers: [2408]
2408,67 unequal: No Solution
Exploring Operation: 28+86=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[25, 89], Operations: ['11+50=61', '28+61=89']
Exploring Operation: 25+89=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 89-25=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 25*89=2225, Resulting Numbers: [2225]
2225,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[28, 36], Operations: ['11+50=61', '61-25=36']
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,67 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[61, 3], Operations: ['11+50=61', '28-25=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[25, 50, 39], Operations: ['11+28=39']
Exploring Operation: 50+39=89, Resulting Numbers: [25, 89]
Generated Node #0,3,0: 67:[25, 89] Operation: 50+39=89
Exploring Operation: 25+50=75, Resulting Numbers: [39, 75]
Generated Node #0,3,1: 67:[39, 75] Operation: 25+50=75
Exploring Operation: 50-25=25, Resulting Numbers: [39, 25]
Generated Node #0,3,2: 67:[39, 25] Operation: 50-25=25
Exploring Operation: 25+39=64, Resulting Numbers: [50, 64]
Generated Node #0,3,3: 67:[50, 64] Operation: 25+39=64
Exploring Operation: 39-25=14, Resulting Numbers: [50, 14]
Generated Node #0,3,4: 67:[50, 14] Operation: 39-25=14
Moving to Node #0,3,3
Current State: 67:[50, 64], Operations: ['11+28=39', '25+39=64']
Exploring Operation: 50+64=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Exploring Operation: 50*64=3200, Resulting Numbers: [3200]
3200,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[39, 75], Operations: ['11+28=39', '25+50=75']
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 39+75=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 39*75=2925, Resulting Numbers: [2925]
2925,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[25, 89], Operations: ['11+28=39', '50+39=89']
Exploring Operation: 25*89=2225, Resulting Numbers: [2225]
2225,67 unequal: No Solution
Exploring Operation: 25+89=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 89-25=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[39, 25], Operations: ['11+28=39', '50-25=25']
Exploring Operation: 39*25=975, Resulting Numbers: [975]
975,67 unequal: No Solution
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,67 unequal: No Solution
Moving to Node #0,3,4
Current State: 67:[50, 14], Operations: ['11+28=39', '39-25=14']
Exploring Operation: 50*14=700, Resulting Numbers: [700]
700,67 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 67:[11, 28, 75], Operations: ['25+50=75']
Exploring Operation: 11+75=86, Resulting Numbers: [28, 86]
Generated Node #0,4,0: 67:[28, 86] Operation: 11+75=86
Exploring Operation: 11+28=39, Resulting Numbers: [75, 39]
Generated Node #0,4,1: 67:[75, 39] Operation: 11+28=39
Exploring Operation: 75-11=64, Resulting Numbers: [28, 64]
Generated Node #0,4,2: 67:[28, 64] Operation: 75-11=64
Exploring Operation: 75-28=47, Resulting Numbers: [11, 47]
Generated Node #0,4,3: 67:[11, 47] Operation: 75-28=47
Exploring Operation: 28-11=17, Resulting Numbers: [75, 17]
Generated Node #0,4,4: 67:[75, 17] Operation: 28-11=17
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 67:[75, 39], Operations: ['25+50=75', '11+28=39']
Exploring Operation: 75*39=2925, Resulting Numbers: [2925]
2925,67 unequal: No Solution
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 75+39=114, Resulting Numbers: [114]
114,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 67:[28, 64], Operations: ['25+50=75', '75-11=64']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,67 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 67:[28, 86], Operations: ['25+50=75', '11+75=86']
Exploring Operation: 28*86=2408, Resulting Numbers: [2408]
2408,67 unequal: No Solution
Exploring Operation: 28+86=114, Resulting Numbers: [114]
114,67 unequal: No Solution
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 67:[75, 17], Operations: ['25+50=75', '28-11=17']
Exploring Operation: 75+17=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Exploring Operation: 75*17=1275, Resulting Numbers: [1275]
1275,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 67:[11, 47], Operations: ['25+50=75', '75-28=47']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Exploring Operation: 11*47=517, Resulting Numbers: [517]
517,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
46,
21,
38,
32
] | 95 | [
"46-21=25",
"38+32=70",
"25+70=95"
] | Current State: 95:[46, 21, 38, 32], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [38, 32, 25]
Generated Node #2: [38, 32, 25] from Operation: 46-21=25
Current State: 95:[38, 32, 25], Operations: ['46-21=25']
Exploring Operation: 38+32=70, Resulting Numbers: [25, 70]
Generated Node #3: [25, 70] from Operation: 38+32=70
Current State: 95:[25, 70], Operations: ['46-21=25', '38+32=70']
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[46, 21, 38, 32], Operations: []
Exploring Operation: 46-38=8, Resulting Numbers: [21, 32, 8]
Generated Node #0,0: 95:[21, 32, 8] Operation: 46-38=8
Exploring Operation: 46+38=84, Resulting Numbers: [21, 32, 84]
Generated Node #0,1: 95:[21, 32, 84] Operation: 46+38=84
Moving to Node #0,0
Current State: 95:[21, 32, 8], Operations: ['46-38=8']
Exploring Operation: 32/8=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 95:[21, 4] Operation: 32/8=4
Exploring Operation: 32-8=24, Resulting Numbers: [21, 24]
Generated Node #0,0,1: 95:[21, 24] Operation: 32-8=24
Moving to Node #0,1
Current State: 95:[21, 32, 84], Operations: ['46+38=84']
Exploring Operation: 32-21=11, Resulting Numbers: [84, 11]
Generated Node #0,1,0: 95:[84, 11] Operation: 32-21=11
Exploring Operation: 84/21=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 95:[32, 4] Operation: 84/21=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[32, 4], Operations: ['46+38=84', '84/21=4']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[84, 11], Operations: ['46+38=84', '32-21=11']
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[46, 21, 38, 32], Operations: []
Exploring Operation: 46+38=84, Resulting Numbers: [21, 32, 84]
Generated Node #0,1: 95:[21, 32, 84] Operation: 46+38=84
Moving to Node #0,1
Current State: 95:[21, 32, 84], Operations: ['46+38=84']
Exploring Operation: 32-21=11, Resulting Numbers: [84, 11]
Generated Node #0,1,0: 95:[84, 11] Operation: 32-21=11
Moving to Node #0,1,0
Current State: 95:[84, 11], Operations: ['46+38=84', '32-21=11']
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | sum_heuristic |
[
35,
12,
47,
57
] | 70 | [
"12+47=59",
"59-57=2",
"35*2=70"
] | Current State: 70:[35, 12, 47, 57], Operations: []
Exploring Operation: 12+47=59, Resulting Numbers: [35, 57, 59]
Generated Node #2: [35, 57, 59] from Operation: 12+47=59
Current State: 70:[35, 57, 59], Operations: ['12+47=59']
Exploring Operation: 59-57=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 59-57=2
Current State: 70:[35, 2], Operations: ['12+47=59', '59-57=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[35, 12, 47, 57], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [35, 12, 10]
Generated Node #0,0: 70:[35, 12, 10] Operation: 57-47=10
Exploring Operation: 47-12=35, Resulting Numbers: [35, 57, 35]
Generated Node #0,1: 70:[35, 57, 35] Operation: 47-12=35
Exploring Operation: 12+57=69, Resulting Numbers: [35, 47, 69]
Generated Node #0,2: 70:[35, 47, 69] Operation: 12+57=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[35, 12, 10], Operations: ['57-47=10']
Exploring Operation: 12-10=2, Resulting Numbers: [35, 2]
Generated Node #0,0,0: 70:[35, 2] Operation: 12-10=2
Exploring Operation: 12+10=22, Resulting Numbers: [35, 22]
Generated Node #0,0,1: 70:[35, 22] Operation: 12+10=22
Exploring Operation: 35-12=23, Resulting Numbers: [10, 23]
Generated Node #0,0,2: 70:[10, 23] Operation: 35-12=23
Moving to Node #0,0,0
Current State: 70:[35, 2], Operations: ['57-47=10', '12-10=2']
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[35, 12, 47, 57], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [35, 12, 10]
Generated Node #0,0: 70:[35, 12, 10] Operation: 57-47=10
Moving to Node #0,0
Current State: 70:[35, 12, 10], Operations: ['57-47=10']
Exploring Operation: 12-10=2, Resulting Numbers: [35, 2]
Generated Node #0,0,0: 70:[35, 2] Operation: 12-10=2
Moving to Node #0,0,0
Current State: 70:[35, 2], Operations: ['57-47=10', '12-10=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
66,
51,
74,
73
] | 15 | [
"66-51=15",
"74-73=1",
"15*1=15"
] | Current State: 15:[66, 51, 74, 73], Operations: []
Exploring Operation: 66-51=15, Resulting Numbers: [74, 73, 15]
Generated Node #2: [74, 73, 15] from Operation: 66-51=15
Current State: 15:[74, 73, 15], Operations: ['66-51=15']
Exploring Operation: 74-73=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 74-73=1
Current State: 15:[15, 1], Operations: ['66-51=15', '74-73=1']
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[66, 51, 74, 73], Operations: []
Exploring Operation: 74-73=1, Resulting Numbers: [66, 51, 1]
Generated Node #0,0: 15:[66, 51, 1] Operation: 74-73=1
Moving to Node #0,0
Current State: 15:[66, 51, 1], Operations: ['74-73=1']
Exploring Operation: 66-51=15, Resulting Numbers: [1, 15]
Generated Node #0,0,0: 15:[1, 15] Operation: 66-51=15
Moving to Node #0,0,0
Current State: 15:[1, 15], Operations: ['74-73=1', '66-51=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[66, 51, 74, 73], Operations: []
Exploring Operation: 74-73=1, Resulting Numbers: [66, 51, 1]
Generated Node #0,0: 15:[66, 51, 1] Operation: 74-73=1
Moving to Node #0,0
Current State: 15:[66, 51, 1], Operations: ['74-73=1']
Exploring Operation: 66-51=15, Resulting Numbers: [1, 15]
Generated Node #0,0,0: 15:[1, 15] Operation: 66-51=15
Moving to Node #0,0,0
Current State: 15:[1, 15], Operations: ['74-73=1', '66-51=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
21,
98,
49,
16
] | 10 | [
"21-16=5",
"98/49=2",
"5*2=10"
] | Current State: 10:[21, 98, 49, 16], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [98, 49, 5]
Generated Node #2: [98, 49, 5] from Operation: 21-16=5
Current State: 10:[98, 49, 5], Operations: ['21-16=5']
Exploring Operation: 98/49=2, Resulting Numbers: [5, 2]
Generated Node #3: [5, 2] from Operation: 98/49=2
Current State: 10:[5, 2], Operations: ['21-16=5', '98/49=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[21, 98, 49, 16], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [21, 16, 2]
Generated Node #0,0: 10:[21, 16, 2] Operation: 98/49=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[21, 16, 2], Operations: ['98/49=2']
Exploring Operation: 21-16=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 10:[2, 5] Operation: 21-16=5
Moving to Node #0,0,0
Current State: 10:[2, 5], Operations: ['98/49=2', '21-16=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[21, 98, 49, 16], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [21, 16, 2]
Generated Node #0,0: 10:[21, 16, 2] Operation: 98/49=2
Moving to Node #0,0
Current State: 10:[21, 16, 2], Operations: ['98/49=2']
Exploring Operation: 21-16=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 10:[2, 5] Operation: 21-16=5
Moving to Node #0,0,0
Current State: 10:[2, 5], Operations: ['98/49=2', '21-16=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
95,
59,
70,
88
] | 77 | [
"95-88=7",
"70-59=11",
"7*11=77"
] | Current State: 77:[95, 59, 70, 88], Operations: []
Exploring Operation: 95-88=7, Resulting Numbers: [59, 70, 7]
Generated Node #2: [59, 70, 7] from Operation: 95-88=7
Current State: 77:[59, 70, 7], Operations: ['95-88=7']
Exploring Operation: 70-59=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 70-59=11
Current State: 77:[7, 11], Operations: ['95-88=7', '70-59=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[95, 59, 70, 88], Operations: []
Exploring Operation: 70-59=11, Resulting Numbers: [95, 88, 11]
Generated Node #0,0: 77:[95, 88, 11] Operation: 70-59=11
Exploring Operation: 95-88=7, Resulting Numbers: [59, 70, 7]
Generated Node #0,1: 77:[59, 70, 7] Operation: 95-88=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[59, 70, 7], Operations: ['95-88=7']
Exploring Operation: 70-59=11, Resulting Numbers: [7, 11]
Generated Node #0,1,0: 77:[7, 11] Operation: 70-59=11
Exploring Operation: 59+7=66, Resulting Numbers: [70, 66]
Generated Node #0,1,1: 77:[70, 66] Operation: 59+7=66
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[7, 11], Operations: ['95-88=7', '70-59=11']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[95, 59, 70, 88], Operations: []
Exploring Operation: 95-88=7, Resulting Numbers: [59, 70, 7]
Generated Node #0,1: 77:[59, 70, 7] Operation: 95-88=7
Moving to Node #0,1
Current State: 77:[59, 70, 7], Operations: ['95-88=7']
Exploring Operation: 70-59=11, Resulting Numbers: [7, 11]
Generated Node #0,1,0: 77:[7, 11] Operation: 70-59=11
Moving to Node #0,1,0
Current State: 77:[7, 11], Operations: ['95-88=7', '70-59=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
63,
36,
56,
12
] | 44 | [
"36*56=2016",
"2016/63=32",
"12+32=44"
] | Current State: 44:[63, 36, 56, 12], Operations: []
Exploring Operation: 36*56=2016, Resulting Numbers: [63, 12, 2016]
Generated Node #2: [63, 12, 2016] from Operation: 36*56=2016
Current State: 44:[63, 12, 2016], Operations: ['36*56=2016']
Exploring Operation: 2016/63=32, Resulting Numbers: [12, 32]
Generated Node #3: [12, 32] from Operation: 2016/63=32
Current State: 44:[12, 32], Operations: ['36*56=2016', '2016/63=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[63, 36, 56, 12], Operations: []
Exploring Operation: 63-12=51, Resulting Numbers: [36, 56, 51]
Generated Node #0,0: 44:[36, 56, 51] Operation: 63-12=51
Exploring Operation: 56-12=44, Resulting Numbers: [63, 36, 44]
Generated Node #0,1: 44:[63, 36, 44] Operation: 56-12=44
Exploring Operation: 63-56=7, Resulting Numbers: [36, 12, 7]
Generated Node #0,2: 44:[36, 12, 7] Operation: 63-56=7
Exploring Operation: 56-36=20, Resulting Numbers: [63, 12, 20]
Generated Node #0,3: 44:[63, 12, 20] Operation: 56-36=20
Exploring Operation: 63-36=27, Resulting Numbers: [56, 12, 27]
Generated Node #0,4: 44:[56, 12, 27] Operation: 63-36=27
Moving to Node #0,2
Current State: 44:[36, 12, 7], Operations: ['63-56=7']
Exploring Operation: 36-7=29, Resulting Numbers: [12, 29]
Generated Node #0,2,0: 44:[12, 29] Operation: 36-7=29
Exploring Operation: 36/12=3, Resulting Numbers: [7, 3]
Generated Node #0,2,1: 44:[7, 3] Operation: 36/12=3
Exploring Operation: 36+7=43, Resulting Numbers: [12, 43]
Generated Node #0,2,2: 44:[12, 43] Operation: 36+7=43
Exploring Operation: 36+12=48, Resulting Numbers: [7, 48]
Generated Node #0,2,3: 44:[7, 48] Operation: 36+12=48
Exploring Operation: 36-12=24, Resulting Numbers: [7, 24]
Generated Node #0,2,4: 44:[7, 24] Operation: 36-12=24
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[12, 43], Operations: ['63-56=7', '36+7=43']
Exploring Operation: 12+43=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 12*43=516, Resulting Numbers: [516]
516,44 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 44:[7, 3], Operations: ['63-56=7', '36/12=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 44:[7, 24], Operations: ['63-56=7', '36-12=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,44 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 44:[7, 48], Operations: ['63-56=7', '36+12=48']
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,44 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[12, 29], Operations: ['63-56=7', '36-7=29']
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,44 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,44 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: 44:[56, 12, 27], Operations: ['63-36=27']
Exploring Operation: 27-12=15, Resulting Numbers: [56, 15]
Generated Node #0,4,0: 44:[56, 15] Operation: 27-12=15
Exploring Operation: 56-27=29, Resulting Numbers: [12, 29]
Generated Node #0,4,1: 44:[12, 29] Operation: 56-27=29
Exploring Operation: 56-12=44, Resulting Numbers: [27, 44]
Generated Node #0,4,2: 44:[27, 44] Operation: 56-12=44
Exploring Operation: 12+27=39, Resulting Numbers: [56, 39]
Generated Node #0,4,3: 44:[56, 39] Operation: 12+27=39
Exploring Operation: 56+12=68, Resulting Numbers: [27, 68]
Generated Node #0,4,4: 44:[27, 68] Operation: 56+12=68
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 44:[27, 44], Operations: ['63-36=27', '56-12=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 44:[12, 29], Operations: ['63-36=27', '56-27=29']
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 44:[56, 15], Operations: ['63-36=27', '27-12=15']
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 56*15=840, Resulting Numbers: [840]
840,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 44:[56, 39], Operations: ['63-36=27', '12+27=39']
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,44 unequal: No Solution
Exploring Operation: 56*39=2184, Resulting Numbers: [2184]
2184,44 unequal: No Solution
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 44:[27, 68], Operations: ['63-36=27', '56+12=68']
Exploring Operation: 27+68=95, Resulting Numbers: [95]
95,44 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 27*68=1836, Resulting Numbers: [1836]
1836,44 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: 44:[63, 12, 20], Operations: ['56-36=20']
Exploring Operation: 63-20=43, Resulting Numbers: [12, 43]
Generated Node #0,3,0: 44:[12, 43] Operation: 63-20=43
Exploring Operation: 63-12=51, Resulting Numbers: [20, 51]
Generated Node #0,3,1: 44:[20, 51] Operation: 63-12=51
Exploring Operation: 63+12=75, Resulting Numbers: [20, 75]
Generated Node #0,3,2: 44:[20, 75] Operation: 63+12=75
Exploring Operation: 20-12=8, Resulting Numbers: [63, 8]
Generated Node #0,3,3: 44:[63, 8] Operation: 20-12=8
Exploring Operation: 12+20=32, Resulting Numbers: [63, 32]
Generated Node #0,3,4: 44:[63, 32] Operation: 12+20=32
Moving to Node #0,0
Current State: 44:[36, 56, 51], Operations: ['63-12=51']
Exploring Operation: 56-51=5, Resulting Numbers: [36, 5]
Generated Node #0,0,0: 44:[36, 5] Operation: 56-51=5
Exploring Operation: 36+51=87, Resulting Numbers: [56, 87]
Generated Node #0,0,1: 44:[56, 87] Operation: 36+51=87
Exploring Operation: 56-36=20, Resulting Numbers: [51, 20]
Generated Node #0,0,2: 44:[51, 20] Operation: 56-36=20
Exploring Operation: 51-36=15, Resulting Numbers: [56, 15]
Generated Node #0,0,3: 44:[56, 15] Operation: 51-36=15
Exploring Operation: 36+56=92, Resulting Numbers: [51, 92]
Generated Node #0,0,4: 44:[51, 92] Operation: 36+56=92
Moving to Node #0,1
Current State: 44:[63, 36, 44], Operations: ['56-12=44']
Exploring Operation: 63+36=99, Resulting Numbers: [44, 99]
Generated Node #0,1,0: 44:[44, 99] Operation: 63+36=99
Exploring Operation: 63-44=19, Resulting Numbers: [36, 19]
Generated Node #0,1,1: 44:[36, 19] Operation: 63-44=19
Exploring Operation: 63-36=27, Resulting Numbers: [44, 27]
Generated Node #0,1,2: 44:[44, 27] Operation: 63-36=27
Exploring Operation: 44-36=8, Resulting Numbers: [63, 8]
Generated Node #0,1,3: 44:[63, 8] Operation: 44-36=8
Exploring Operation: 36+44=80, Resulting Numbers: [63, 80]
Generated Node #0,1,4: 44:[63, 80] Operation: 36+44=80
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 44:[44, 27], Operations: ['56-12=44', '63-36=27']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,44 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[36, 19], Operations: ['56-12=44', '63-44=19']
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 44:[63, 8], Operations: ['56-12=44', '44-36=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[44, 99], Operations: ['56-12=44', '63+36=99']
Exploring Operation: 99-44=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 44*99=4356, Resulting Numbers: [4356]
4356,44 unequal: No Solution
Exploring Operation: 44+99=143, Resulting Numbers: [143]
143,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 44:[63, 80], Operations: ['56-12=44', '36+44=80']
Exploring Operation: 63+80=143, Resulting Numbers: [143]
143,44 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,44 unequal: No Solution
Exploring Operation: 63*80=5040, Resulting Numbers: [5040]
5040,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 44:[12, 43], Operations: ['56-36=20', '63-20=43']
Exploring Operation: 12*43=516, Resulting Numbers: [516]
516,44 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 12+43=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[36, 5], Operations: ['63-12=51', '56-51=5']
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,44 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[51, 20], Operations: ['63-12=51', '56-36=20']
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,44 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[20, 51], Operations: ['56-36=20', '63-12=51']
Exploring Operation: 20*51=1020, Resulting Numbers: [1020]
1020,44 unequal: No Solution
Exploring Operation: 20+51=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[56, 15], Operations: ['63-12=51', '51-36=15']
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Exploring Operation: 56*15=840, Resulting Numbers: [840]
840,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[63, 8], Operations: ['56-36=20', '20-12=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,44 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,44 unequal: No Solution
Moving to Node #0,3,4
Current State: 44:[63, 32], Operations: ['56-36=20', '12+20=32']
Exploring Operation: 63*32=2016, Resulting Numbers: [2016]
2016,44 unequal: No Solution
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[20, 75], Operations: ['56-36=20', '63+12=75']
Exploring Operation: 20*75=1500, Resulting Numbers: [1500]
1500,44 unequal: No Solution
Exploring Operation: 20+75=95, Resulting Numbers: [95]
95,44 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Moving to Node #0,0,4
Current State: 44:[51, 92], Operations: ['63-12=51', '36+56=92']
Exploring Operation: 51+92=143, Resulting Numbers: [143]
143,44 unequal: No Solution
Exploring Operation: 92-51=41, Resulting Numbers: [41]
41,44 unequal: No Solution
Exploring Operation: 51*92=4692, Resulting Numbers: [4692]
4692,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[56, 87], Operations: ['63-12=51', '36+51=87']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,44 unequal: No Solution
Exploring Operation: 56*87=4872, Resulting Numbers: [4872]
4872,44 unequal: No Solution
Exploring Operation: 56+87=143, Resulting Numbers: [143]
143,44 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
78,
54,
97,
20
] | 53 | [
"78-54=24",
"97-20=77",
"77-24=53"
] | Current State: 53:[78, 54, 97, 20], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [97, 20, 24]
Generated Node #2: [97, 20, 24] from Operation: 78-54=24
Current State: 53:[97, 20, 24], Operations: ['78-54=24']
Exploring Operation: 97-20=77, Resulting Numbers: [24, 77]
Generated Node #3: [24, 77] from Operation: 97-20=77
Current State: 53:[24, 77], Operations: ['78-54=24', '97-20=77']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[78, 54, 97, 20], Operations: []
Exploring Operation: 78-20=58, Resulting Numbers: [54, 97, 58]
Generated Node #0,0: 53:[54, 97, 58] Operation: 78-20=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[54, 97, 58], Operations: ['78-20=58']
Exploring Operation: 97-54=43, Resulting Numbers: [58, 43]
Generated Node #0,0,0: 53:[58, 43] Operation: 97-54=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[58, 43], Operations: ['78-20=58', '97-54=43']
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
59,
75,
37
] | 74 | [
"42-37=5",
"75/5=15",
"59+15=74"
] | Current State: 74:[42, 59, 75, 37], Operations: []
Exploring Operation: 42-37=5, Resulting Numbers: [59, 75, 5]
Generated Node #2: [59, 75, 5] from Operation: 42-37=5
Current State: 74:[59, 75, 5], Operations: ['42-37=5']
Exploring Operation: 75/5=15, Resulting Numbers: [59, 15]
Generated Node #3: [59, 15] from Operation: 75/5=15
Current State: 74:[59, 15], Operations: ['42-37=5', '75/5=15']
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[42, 59, 75, 37], Operations: []
Exploring Operation: 42-37=5, Resulting Numbers: [59, 75, 5]
Generated Node #0,0: 74:[59, 75, 5] Operation: 42-37=5
Exploring Operation: 75-42=33, Resulting Numbers: [59, 37, 33]
Generated Node #0,1: 74:[59, 37, 33] Operation: 75-42=33
Exploring Operation: 59-42=17, Resulting Numbers: [75, 37, 17]
Generated Node #0,2: 74:[75, 37, 17] Operation: 59-42=17
Moving to Node #0,2
Current State: 74:[75, 37, 17], Operations: ['59-42=17']
Exploring Operation: 75-37=38, Resulting Numbers: [17, 38]
Generated Node #0,2,0: 74:[17, 38] Operation: 75-37=38
Exploring Operation: 75-17=58, Resulting Numbers: [37, 58]
Generated Node #0,2,1: 74:[37, 58] Operation: 75-17=58
Exploring Operation: 75+17=92, Resulting Numbers: [37, 92]
Generated Node #0,2,2: 74:[37, 92] Operation: 75+17=92
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 74:[17, 38], Operations: ['59-42=17', '75-37=38']
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,74 unequal: No Solution
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,74 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 74:[37, 58], Operations: ['59-42=17', '75-17=58']
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,74 unequal: No Solution
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,74 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[37, 92], Operations: ['59-42=17', '75+17=92']
Exploring Operation: 37*92=3404, Resulting Numbers: [3404]
3404,74 unequal: No Solution
Exploring Operation: 92-37=55, Resulting Numbers: [55]
55,74 unequal: No Solution
Exploring Operation: 37+92=129, Resulting Numbers: [129]
129,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 74:[59, 75, 5], Operations: ['42-37=5']
Exploring Operation: 59-5=54, Resulting Numbers: [75, 54]
Generated Node #0,0,0: 74:[75, 54] Operation: 59-5=54
Exploring Operation: 59+5=64, Resulting Numbers: [75, 64]
Generated Node #0,0,1: 74:[75, 64] Operation: 59+5=64
Exploring Operation: 75-59=16, Resulting Numbers: [5, 16]
Generated Node #0,0,2: 74:[5, 16] Operation: 75-59=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[75, 64], Operations: ['42-37=5', '59+5=64']
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 75+64=139, Resulting Numbers: [139]
139,74 unequal: No Solution
Exploring Operation: 75*64=4800, Resulting Numbers: [4800]
4800,74 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 #0,0,2
Current State: 74:[5, 16], Operations: ['42-37=5', '75-59=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,74 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[75, 54], Operations: ['42-37=5', '59-5=54']
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,74 unequal: No Solution
Exploring Operation: 75+54=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 75*54=4050, Resulting Numbers: [4050]
4050,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 74:[59, 37, 33], Operations: ['75-42=33']
Exploring Operation: 59+33=92, Resulting Numbers: [37, 92]
Generated Node #0,1,0: 74:[37, 92] Operation: 59+33=92
Exploring Operation: 37-33=4, Resulting Numbers: [59, 4]
Generated Node #0,1,1: 74:[59, 4] Operation: 37-33=4
Exploring Operation: 59-33=26, Resulting Numbers: [37, 26]
Generated Node #0,1,2: 74:[37, 26] Operation: 59-33=26
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 74:[37, 26], Operations: ['75-42=33', '59-33=26']
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,74 unequal: No Solution
Exploring Operation: 37*26=962, Resulting Numbers: [962]
962,74 unequal: No Solution
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[59, 4], Operations: ['75-42=33', '37-33=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,74 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,74 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[37, 92], Operations: ['75-42=33', '59+33=92']
Exploring Operation: 92-37=55, Resulting Numbers: [55]
55,74 unequal: No Solution
Exploring Operation: 37*92=3404, Resulting Numbers: [3404]
3404,74 unequal: No Solution
Exploring Operation: 37+92=129, Resulting Numbers: [129]
129,74 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 |
[
11,
6,
41,
33
] | 44 | [
"33/11=3",
"6+41=47",
"47-3=44"
] | Current State: 44:[11, 6, 41, 33], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [6, 41, 3]
Generated Node #2: [6, 41, 3] from Operation: 33/11=3
Current State: 44:[6, 41, 3], Operations: ['33/11=3']
Exploring Operation: 6+41=47, Resulting Numbers: [3, 47]
Generated Node #3: [3, 47] from Operation: 6+41=47
Current State: 44:[3, 47], Operations: ['33/11=3', '6+41=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[11, 6, 41, 33], Operations: []
Exploring Operation: 11+33=44, Resulting Numbers: [6, 41, 44]
Generated Node #0,0: 44:[6, 41, 44] Operation: 11+33=44
Exploring Operation: 33-11=22, Resulting Numbers: [6, 41, 22]
Generated Node #0,1: 44:[6, 41, 22] Operation: 33-11=22
Moving to Node #0,0
Current State: 44:[6, 41, 44], Operations: ['11+33=44']
Exploring Operation: 44-41=3, Resulting Numbers: [6, 3]
Generated Node #0,0,0: 44:[6, 3] Operation: 44-41=3
Exploring Operation: 6+41=47, Resulting Numbers: [44, 47]
Generated Node #0,0,1: 44:[44, 47] Operation: 6+41=47
Moving to Node #0,1
Current State: 44:[6, 41, 22], Operations: ['33-11=22']
Exploring Operation: 41-22=19, Resulting Numbers: [6, 19]
Generated Node #0,1,0: 44:[6, 19] Operation: 41-22=19
Exploring Operation: 6+41=47, Resulting Numbers: [22, 47]
Generated Node #0,1,1: 44:[22, 47] Operation: 6+41=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[22, 47], Operations: ['33-11=22', '6+41=47']
Exploring Operation: 22+47=69, Resulting Numbers: [69]
69,44 unequal: No Solution
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 44:[6, 19], Operations: ['33-11=22', '41-22=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,44 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,44 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: 44:[6, 3], Operations: ['11+33=44', '44-41=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[44, 47], Operations: ['11+33=44', '6+41=47']
Exploring Operation: 44+47=91, Resulting Numbers: [91]
91,44 unequal: No Solution
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,44 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
15,
14,
4,
26
] | 98 | [
"15+4=19",
"26-19=7",
"14*7=98"
] | Current State: 98:[15, 14, 4, 26], Operations: []
Exploring Operation: 15+4=19, Resulting Numbers: [14, 26, 19]
Generated Node #2: [14, 26, 19] from Operation: 15+4=19
Current State: 98:[14, 26, 19], Operations: ['15+4=19']
Exploring Operation: 26-19=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 26-19=7
Current State: 98:[14, 7], Operations: ['15+4=19', '26-19=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[15, 14, 4, 26], Operations: []
Exploring Operation: 4*26=104, Resulting Numbers: [15, 14, 104]
Generated Node #0,0: 98:[15, 14, 104] Operation: 4*26=104
Exploring Operation: 26-15=11, Resulting Numbers: [14, 4, 11]
Generated Node #0,1: 98:[14, 4, 11] Operation: 26-15=11
Exploring Operation: 26-4=22, Resulting Numbers: [15, 14, 22]
Generated Node #0,2: 98:[15, 14, 22] Operation: 26-4=22
Exploring Operation: 26-14=12, Resulting Numbers: [15, 4, 12]
Generated Node #0,3: 98:[15, 4, 12] Operation: 26-14=12
Moving to Node #0,1
Current State: 98:[14, 4, 11], Operations: ['26-15=11']
Exploring Operation: 4+11=15, Resulting Numbers: [14, 15]
Generated Node #0,1,0: 98:[14, 15] Operation: 4+11=15
Exploring Operation: 14-11=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 98:[4, 3] Operation: 14-11=3
Exploring Operation: 4*11=44, Resulting Numbers: [14, 44]
Generated Node #0,1,2: 98:[14, 44] Operation: 4*11=44
Exploring Operation: 11-4=7, Resulting Numbers: [14, 7]
Generated Node #0,1,3: 98:[14, 7] Operation: 11-4=7
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 98:[14, 7], Operations: ['26-15=11', '11-4=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[15, 14, 4, 26], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [14, 4, 11]
Generated Node #0,1: 98:[14, 4, 11] Operation: 26-15=11
Moving to Node #0,1
Current State: 98:[14, 4, 11], Operations: ['26-15=11']
Exploring Operation: 11-4=7, Resulting Numbers: [14, 7]
Generated Node #0,1,3: 98:[14, 7] Operation: 11-4=7
Moving to Node #0,1,3
Current State: 98:[14, 7], Operations: ['26-15=11', '11-4=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
35,
11,
53,
15
] | 72 | [
"53-35=18",
"15-11=4",
"18*4=72"
] | Current State: 72:[35, 11, 53, 15], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [11, 15, 18]
Generated Node #2: [11, 15, 18] from Operation: 53-35=18
Current State: 72:[11, 15, 18], Operations: ['53-35=18']
Exploring Operation: 15-11=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 15-11=4
Current State: 72:[18, 4], Operations: ['53-35=18', '15-11=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[35, 11, 53, 15], Operations: []
Exploring Operation: 53-11=42, Resulting Numbers: [35, 15, 42]
Generated Node #0,0: 72:[35, 15, 42] Operation: 53-11=42
Exploring Operation: 53+15=68, Resulting Numbers: [35, 11, 68]
Generated Node #0,1: 72:[35, 11, 68] Operation: 53+15=68
Exploring Operation: 53-35=18, Resulting Numbers: [11, 15, 18]
Generated Node #0,2: 72:[11, 15, 18] Operation: 53-35=18
Exploring Operation: 53-15=38, Resulting Numbers: [35, 11, 38]
Generated Node #0,3: 72:[35, 11, 38] Operation: 53-15=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[11, 15, 18], Operations: ['53-35=18']
Exploring Operation: 18-15=3, Resulting Numbers: [11, 3]
Generated Node #0,2,0: 72:[11, 3] Operation: 18-15=3
Exploring Operation: 15-11=4, Resulting Numbers: [18, 4]
Generated Node #0,2,1: 72:[18, 4] Operation: 15-11=4
Exploring Operation: 11+15=26, Resulting Numbers: [18, 26]
Generated Node #0,2,2: 72:[18, 26] Operation: 11+15=26
Exploring Operation: 18-11=7, Resulting Numbers: [15, 7]
Generated Node #0,2,3: 72:[15, 7] Operation: 18-11=7
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 72:[18, 4], Operations: ['53-35=18', '15-11=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[35, 11, 53, 15], Operations: []
Exploring Operation: 53-35=18, Resulting Numbers: [11, 15, 18]
Generated Node #0,2: 72:[11, 15, 18] Operation: 53-35=18
Moving to Node #0,2
Current State: 72:[11, 15, 18], Operations: ['53-35=18']
Exploring Operation: 15-11=4, Resulting Numbers: [18, 4]
Generated Node #0,2,1: 72:[18, 4] Operation: 15-11=4
Moving to Node #0,2,1
Current State: 72:[18, 4], Operations: ['53-35=18', '15-11=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
31,
3,
9,
88
] | 92 | [
"31+88=119",
"3*9=27",
"119-27=92"
] | Current State: 92:[31, 3, 9, 88], Operations: []
Exploring Operation: 31+88=119, Resulting Numbers: [3, 9, 119]
Generated Node #2: [3, 9, 119] from Operation: 31+88=119
Current State: 92:[3, 9, 119], Operations: ['31+88=119']
Exploring Operation: 3*9=27, Resulting Numbers: [119, 27]
Generated Node #3: [119, 27] from Operation: 3*9=27
Current State: 92:[119, 27], Operations: ['31+88=119', '3*9=27']
Exploring Operation: 119-27=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[31, 3, 9, 88], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [31, 88, 3]
Generated Node #0,0: 92:[31, 88, 3] Operation: 9/3=3
Exploring Operation: 31*3=93, Resulting Numbers: [9, 88, 93]
Generated Node #0,1: 92:[9, 88, 93] Operation: 31*3=93
Exploring Operation: 31-9=22, Resulting Numbers: [3, 88, 22]
Generated Node #0,2: 92:[3, 88, 22] Operation: 31-9=22
Exploring Operation: 31+9=40, Resulting Numbers: [3, 88, 40]
Generated Node #0,3: 92:[3, 88, 40] Operation: 31+9=40
Moving to Node #0,2
Current State: 92:[3, 88, 22], Operations: ['31-9=22']
Exploring Operation: 88/22=4, Resulting Numbers: [3, 4]
Generated Node #0,2,0: 92:[3, 4] Operation: 88/22=4
Exploring Operation: 3+22=25, Resulting Numbers: [88, 25]
Generated Node #0,2,1: 92:[88, 25] Operation: 3+22=25
Exploring Operation: 3+88=91, Resulting Numbers: [22, 91]
Generated Node #0,2,2: 92:[22, 91] Operation: 3+88=91
Exploring Operation: 88-3=85, Resulting Numbers: [22, 85]
Generated Node #0,2,3: 92:[22, 85] Operation: 88-3=85
Moving to Node #0,1
Current State: 92:[9, 88, 93], Operations: ['31*3=93']
Exploring Operation: 93-9=84, Resulting Numbers: [88, 84]
Generated Node #0,1,0: 92:[88, 84] Operation: 93-9=84
Exploring Operation: 88-9=79, Resulting Numbers: [93, 79]
Generated Node #0,1,1: 92:[93, 79] Operation: 88-9=79
Exploring Operation: 93-88=5, Resulting Numbers: [9, 5]
Generated Node #0,1,2: 92:[9, 5] Operation: 93-88=5
Exploring Operation: 9+88=97, Resulting Numbers: [93, 97]
Generated Node #0,1,3: 92:[93, 97] Operation: 9+88=97
Moving to Node #0,3
Current State: 92:[3, 88, 40], Operations: ['31+9=40']
Exploring Operation: 88-40=48, Resulting Numbers: [3, 48]
Generated Node #0,3,0: 92:[3, 48] Operation: 88-40=48
Exploring Operation: 3+40=43, Resulting Numbers: [88, 43]
Generated Node #0,3,1: 92:[88, 43] Operation: 3+40=43
Exploring Operation: 3+88=91, Resulting Numbers: [40, 91]
Generated Node #0,3,2: 92:[40, 91] Operation: 3+88=91
Exploring Operation: 88-3=85, Resulting Numbers: [40, 85]
Generated Node #0,3,3: 92:[40, 85] Operation: 88-3=85
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 92:[3, 48], Operations: ['31+9=40', '88-40=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,92 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 92:[88, 43], Operations: ['31+9=40', '3+40=43']
Exploring Operation: 88*43=3784, Resulting Numbers: [3784]
3784,92 unequal: No Solution
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 88+43=131, Resulting Numbers: [131]
131,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 92:[40, 91], Operations: ['31+9=40', '3+88=91']
Exploring Operation: 40*91=3640, Resulting Numbers: [3640]
3640,92 unequal: No Solution
Exploring Operation: 40+91=131, Resulting Numbers: [131]
131,92 unequal: No Solution
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 92:[40, 85], Operations: ['31+9=40', '88-3=85']
Exploring Operation: 40+85=125, Resulting Numbers: [125]
125,92 unequal: No Solution
Exploring Operation: 40*85=3400, Resulting Numbers: [3400]
3400,92 unequal: No Solution
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,92 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: 92:[31, 88, 3], Operations: ['9/3=3']
Exploring Operation: 31-3=28, Resulting Numbers: [88, 28]
Generated Node #0,0,0: 92:[88, 28] Operation: 31-3=28
Exploring Operation: 31*3=93, Resulting Numbers: [88, 93]
Generated Node #0,0,1: 92:[88, 93] Operation: 31*3=93
Exploring Operation: 88-31=57, Resulting Numbers: [3, 57]
Generated Node #0,0,2: 92:[3, 57] Operation: 88-31=57
Exploring Operation: 88+3=91, Resulting Numbers: [31, 91]
Generated Node #0,0,3: 92:[31, 91] Operation: 88+3=91
Moving to Node #0,2,0
Current State: 92:[3, 4], Operations: ['31-9=22', '88/22=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,92 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[22, 91], Operations: ['31-9=22', '3+88=91']
Exploring Operation: 22+91=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,92 unequal: No Solution
Exploring Operation: 22*91=2002, Resulting Numbers: [2002]
2002,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[88, 93], Operations: ['9/3=3', '31*3=93']
Exploring Operation: 93-88=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 88*93=8184, Resulting Numbers: [8184]
8184,92 unequal: No Solution
Exploring Operation: 88+93=181, Resulting Numbers: [181]
181,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[88, 25], Operations: ['31-9=22', '3+22=25']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,92 unequal: No Solution
Exploring Operation: 88*25=2200, Resulting Numbers: [2200]
2200,92 unequal: No Solution
Exploring Operation: 88+25=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[93, 97], Operations: ['31*3=93', '9+88=97']
Exploring Operation: 97-93=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 93*97=9021, Resulting Numbers: [9021]
9021,92 unequal: No Solution
Exploring Operation: 93+97=190, Resulting Numbers: [190]
190,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[9, 5], Operations: ['31*3=93', '93-88=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[22, 85], Operations: ['31-9=22', '88-3=85']
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,92 unequal: No Solution
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,92 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[31, 91], Operations: ['9/3=3', '88+3=91']
Exploring Operation: 31+91=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 31*91=2821, Resulting Numbers: [2821]
2821,92 unequal: No Solution
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[88, 28], Operations: ['9/3=3', '31-3=28']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 88+28=116, Resulting Numbers: [116]
116,92 unequal: No Solution
Exploring Operation: 88*28=2464, Resulting Numbers: [2464]
2464,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[3, 57], Operations: ['9/3=3', '88-31=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 3*57=171, Resulting Numbers: [171]
171,92 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[88, 84], Operations: ['31*3=93', '93-9=84']
Exploring Operation: 88*84=7392, Resulting Numbers: [7392]
7392,92 unequal: No Solution
Exploring Operation: 88+84=172, Resulting Numbers: [172]
172,92 unequal: No Solution
Exploring Operation: 88-84=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[93, 79], Operations: ['31*3=93', '88-9=79']
Exploring Operation: 93-79=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 93+79=172, Resulting Numbers: [172]
172,92 unequal: No Solution
Exploring Operation: 93*79=7347, Resulting Numbers: [7347]
7347,92 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
73,
60,
93,
18
] | 58 | [
"73+60=133",
"93-18=75",
"133-75=58"
] | Current State: 58:[73, 60, 93, 18], Operations: []
Exploring Operation: 73+60=133, Resulting Numbers: [93, 18, 133]
Generated Node #2: [93, 18, 133] from Operation: 73+60=133
Current State: 58:[93, 18, 133], Operations: ['73+60=133']
Exploring Operation: 93-18=75, Resulting Numbers: [133, 75]
Generated Node #3: [133, 75] from Operation: 93-18=75
Current State: 58:[133, 75], Operations: ['73+60=133', '93-18=75']
Exploring Operation: 133-75=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[73, 60, 93, 18], Operations: []
Exploring Operation: 93-18=75, Resulting Numbers: [73, 60, 75]
Generated Node #0,0: 58:[73, 60, 75] Operation: 93-18=75
Exploring Operation: 73-18=55, Resulting Numbers: [60, 93, 55]
Generated Node #0,1: 58:[60, 93, 55] Operation: 73-18=55
Exploring Operation: 93-60=33, Resulting Numbers: [73, 18, 33]
Generated Node #0,2: 58:[73, 18, 33] Operation: 93-60=33
Exploring Operation: 93-73=20, Resulting Numbers: [60, 18, 20]
Generated Node #0,3: 58:[60, 18, 20] Operation: 93-73=20
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[60, 18, 20], Operations: ['93-73=20']
Exploring Operation: 18+20=38, Resulting Numbers: [60, 38]
Generated Node #0,3,0: 58:[60, 38] Operation: 18+20=38
Exploring Operation: 60/20=3, Resulting Numbers: [18, 3]
Generated Node #0,3,1: 58:[18, 3] Operation: 60/20=3
Exploring Operation: 20-18=2, Resulting Numbers: [60, 2]
Generated Node #0,3,2: 58:[60, 2] Operation: 20-18=2
Exploring Operation: 60-18=42, Resulting Numbers: [20, 42]
Generated Node #0,3,3: 58:[20, 42] Operation: 60-18=42
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 58:[60, 2], Operations: ['93-73=20', '20-18=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,58 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[73, 60, 93, 18], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [60, 18, 20]
Generated Node #0,3: 58:[60, 18, 20] Operation: 93-73=20
Moving to Node #0,3
Current State: 58:[60, 18, 20], Operations: ['93-73=20']
Exploring Operation: 20-18=2, Resulting Numbers: [60, 2]
Generated Node #0,3,2: 58:[60, 2] Operation: 20-18=2
Moving to Node #0,3,2
Current State: 58:[60, 2], Operations: ['93-73=20', '20-18=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
68,
1,
58,
2
] | 62 | [
"68+58=126",
"126/2=63",
"63-1=62"
] | Current State: 62:[68, 1, 58, 2], Operations: []
Exploring Operation: 68+58=126, Resulting Numbers: [1, 2, 126]
Generated Node #2: [1, 2, 126] from Operation: 68+58=126
Current State: 62:[1, 2, 126], Operations: ['68+58=126']
Exploring Operation: 126/2=63, Resulting Numbers: [1, 63]
Generated Node #3: [1, 63] from Operation: 126/2=63
Current State: 62:[1, 63], Operations: ['68+58=126', '126/2=63']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[68, 1, 58, 2], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [1, 58, 34]
Generated Node #0,0: 62:[1, 58, 34] Operation: 68/2=34
Exploring Operation: 68-1=67, Resulting Numbers: [58, 2, 67]
Generated Node #0,1: 62:[58, 2, 67] Operation: 68-1=67
Exploring Operation: 68-58=10, Resulting Numbers: [1, 2, 10]
Generated Node #0,2: 62:[1, 2, 10] Operation: 68-58=10
Moving to Node #0,0
Current State: 62:[1, 58, 34], Operations: ['68/2=34']
Exploring Operation: 34-1=33, Resulting Numbers: [58, 33]
Generated Node #0,0,0: 62:[58, 33] Operation: 34-1=33
Exploring Operation: 1+58=59, Resulting Numbers: [34, 59]
Generated Node #0,0,1: 62:[34, 59] Operation: 1+58=59
Exploring Operation: 1*58=58, Resulting Numbers: [34, 58]
Generated Node #0,0,2: 62:[34, 58] Operation: 1*58=58
Moving to Node #0,1
Current State: 62:[58, 2, 67], Operations: ['68-1=67']
Exploring Operation: 58/2=29, Resulting Numbers: [67, 29]
Generated Node #0,1,0: 62:[67, 29] Operation: 58/2=29
Exploring Operation: 58+2=60, Resulting Numbers: [67, 60]
Generated Node #0,1,1: 62:[67, 60] Operation: 58+2=60
Exploring Operation: 67-58=9, Resulting Numbers: [2, 9]
Generated Node #0,1,2: 62:[2, 9] Operation: 67-58=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[67, 29], Operations: ['68-1=67', '58/2=29']
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 67*29=1943, Resulting Numbers: [1943]
1943,62 unequal: No Solution
Exploring Operation: 67+29=96, Resulting Numbers: [96]
96,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[67, 60], Operations: ['68-1=67', '58+2=60']
Exploring Operation: 67*60=4020, Resulting Numbers: [4020]
4020,62 unequal: No Solution
Exploring Operation: 67+60=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[2, 9], Operations: ['68-1=67', '67-58=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,62 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: 62:[1, 2, 10], Operations: ['68-58=10']
Exploring Operation: 10-1=9, Resulting Numbers: [2, 9]
Generated Node #0,2,0: 62:[2, 9] Operation: 10-1=9
Exploring Operation: 10/2=5, Resulting Numbers: [1, 5]
Generated Node #0,2,1: 62:[1, 5] Operation: 10/2=5
Exploring Operation: 10-2=8, Resulting Numbers: [1, 8]
Generated Node #0,2,2: 62:[1, 8] Operation: 10-2=8
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[1, 5], Operations: ['68-58=10', '10/2=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[2, 9], Operations: ['68-58=10', '10-1=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[1, 8], Operations: ['68-58=10', '10-2=8']
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,62 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: 62:[58, 33], Operations: ['68/2=34', '34-1=33']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 58*33=1914, Resulting Numbers: [1914]
1914,62 unequal: No Solution
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[34, 59], Operations: ['68/2=34', '1+58=59']
Exploring Operation: 34+59=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 34*59=2006, Resulting Numbers: [2006]
2006,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[34, 58], Operations: ['68/2=34', '1*58=58']
Exploring Operation: 34*58=1972, Resulting Numbers: [1972]
1972,62 unequal: No Solution
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 34+58=92, Resulting Numbers: [92]
92,62 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
67,
81,
15,
73
] | 53 | [
"81-73=8",
"15*8=120",
"120-67=53"
] | Current State: 53:[67, 81, 15, 73], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [67, 15, 8]
Generated Node #2: [67, 15, 8] from Operation: 81-73=8
Current State: 53:[67, 15, 8], Operations: ['81-73=8']
Exploring Operation: 15*8=120, Resulting Numbers: [67, 120]
Generated Node #3: [67, 120] from Operation: 15*8=120
Current State: 53:[67, 120], Operations: ['81-73=8', '15*8=120']
Exploring Operation: 120-67=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[67, 81, 15, 73], Operations: []
Exploring Operation: 81-15=66, Resulting Numbers: [67, 73, 66]
Generated Node #0,0: 53:[67, 73, 66] Operation: 81-15=66
Exploring Operation: 67-15=52, Resulting Numbers: [81, 73, 52]
Generated Node #0,1: 53:[81, 73, 52] Operation: 67-15=52
Exploring Operation: 73-15=58, Resulting Numbers: [67, 81, 58]
Generated Node #0,2: 53:[67, 81, 58] Operation: 73-15=58
Exploring Operation: 67+15=82, Resulting Numbers: [81, 73, 82]
Generated Node #0,3: 53:[81, 73, 82] Operation: 67+15=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[67, 73, 66], Operations: ['81-15=66']
Exploring Operation: 73-66=7, Resulting Numbers: [67, 7]
Generated Node #0,0,0: 53:[67, 7] Operation: 73-66=7
Exploring Operation: 67+73=140, Resulting Numbers: [66, 140]
Generated Node #0,0,1: 53:[66, 140] Operation: 67+73=140
Exploring Operation: 67-66=1, Resulting Numbers: [73, 1]
Generated Node #0,0,2: 53:[73, 1] Operation: 67-66=1
Exploring Operation: 73-67=6, Resulting Numbers: [66, 6]
Generated Node #0,0,3: 53:[66, 6] Operation: 73-67=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[67, 7], Operations: ['81-15=66', '73-66=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,53 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 53:[66, 6], Operations: ['81-15=66', '73-67=6']
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 66*6=396, Resulting Numbers: [396]
396,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[73, 1], Operations: ['81-15=66', '67-66=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[66, 140], Operations: ['81-15=66', '67+73=140']
Exploring Operation: 66+140=206, Resulting Numbers: [206]
206,53 unequal: No Solution
Exploring Operation: 66*140=9240, Resulting Numbers: [9240]
9240,53 unequal: No Solution
Exploring Operation: 140-66=74, Resulting Numbers: [74]
74,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[67, 81, 58], Operations: ['73-15=58']
Exploring Operation: 67-58=9, Resulting Numbers: [81, 9]
Generated Node #0,2,0: 53:[81, 9] Operation: 67-58=9
Exploring Operation: 81-67=14, Resulting Numbers: [58, 14]
Generated Node #0,2,1: 53:[58, 14] Operation: 81-67=14
Exploring Operation: 81-58=23, Resulting Numbers: [67, 23]
Generated Node #0,2,2: 53:[67, 23] Operation: 81-58=23
Exploring Operation: 67+81=148, Resulting Numbers: [58, 148]
Generated Node #0,2,3: 53:[58, 148] Operation: 67+81=148
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[58, 14], Operations: ['73-15=58', '81-67=14']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 58+14=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 58*14=812, Resulting Numbers: [812]
812,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 53:[67, 23], Operations: ['73-15=58', '81-58=23']
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 53:[81, 9], Operations: ['73-15=58', '67-58=9']
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 81*9=729, Resulting Numbers: [729]
729,53 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 53:[58, 148], Operations: ['73-15=58', '67+81=148']
Exploring Operation: 58+148=206, Resulting Numbers: [206]
206,53 unequal: No Solution
Exploring Operation: 148-58=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 58*148=8584, Resulting Numbers: [8584]
8584,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[81, 73, 52], Operations: ['67-15=52']
Exploring Operation: 73-52=21, Resulting Numbers: [81, 21]
Generated Node #0,1,0: 53:[81, 21] Operation: 73-52=21
Exploring Operation: 81-52=29, Resulting Numbers: [73, 29]
Generated Node #0,1,1: 53:[73, 29] Operation: 81-52=29
Exploring Operation: 81+52=133, Resulting Numbers: [73, 133]
Generated Node #0,1,2: 53:[73, 133] Operation: 81+52=133
Exploring Operation: 81-73=8, Resulting Numbers: [52, 8]
Generated Node #0,1,3: 53:[52, 8] Operation: 81-73=8
Moving to Node #0,1,1
Current State: 53:[73, 29], Operations: ['67-15=52', '81-52=29']
Exploring Operation: 73*29=2117, Resulting Numbers: [2117]
2117,53 unequal: No Solution
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 73+29=102, Resulting Numbers: [102]
102,53 unequal: No Solution
Moving to Node #0,1,3
Current State: 53:[52, 8], Operations: ['67-15=52', '81-73=8']
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 52*8=416, Resulting Numbers: [416]
416,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[81, 21], Operations: ['67-15=52', '73-52=21']
Exploring Operation: 81+21=102, Resulting Numbers: [102]
102,53 unequal: No Solution
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 81*21=1701, Resulting Numbers: [1701]
1701,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[73, 133], Operations: ['67-15=52', '81+52=133']
Exploring Operation: 133-73=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 73+133=206, Resulting Numbers: [206]
206,53 unequal: No Solution
Exploring Operation: 73*133=9709, Resulting Numbers: [9709]
9709,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 53:[81, 73, 82], Operations: ['67+15=82']
Exploring Operation: 81+73=154, Resulting Numbers: [82, 154]
Generated Node #0,3,0: 53:[82, 154] Operation: 81+73=154
Exploring Operation: 82-73=9, Resulting Numbers: [81, 9]
Generated Node #0,3,1: 53:[81, 9] Operation: 82-73=9
Exploring Operation: 81-73=8, Resulting Numbers: [82, 8]
Generated Node #0,3,2: 53:[82, 8] Operation: 81-73=8
Exploring Operation: 82-81=1, Resulting Numbers: [73, 1]
Generated Node #0,3,3: 53:[73, 1] Operation: 82-81=1
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 53:[81, 9], Operations: ['67+15=82', '82-73=9']
Exploring Operation: 81*9=729, Resulting Numbers: [729]
729,53 unequal: No Solution
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 53:[73, 1], Operations: ['67+15=82', '82-81=1']
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 53:[82, 8], Operations: ['67+15=82', '81-73=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Exploring Operation: 82*8=656, Resulting Numbers: [656]
656,53 unequal: No Solution
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 53:[82, 154], Operations: ['67+15=82', '81+73=154']
Exploring Operation: 82+154=236, Resulting Numbers: [236]
236,53 unequal: No Solution
Exploring Operation: 82*154=12628, Resulting Numbers: [12628]
12628,53 unequal: No Solution
Exploring Operation: 154-82=72, Resulting Numbers: [72]
72,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
62,
30,
7,
6
] | 50 | [
"62+30=92",
"7*6=42",
"92-42=50"
] | Current State: 50:[62, 30, 7, 6], Operations: []
Exploring Operation: 62+30=92, Resulting Numbers: [7, 6, 92]
Generated Node #2: [7, 6, 92] from Operation: 62+30=92
Current State: 50:[7, 6, 92], Operations: ['62+30=92']
Exploring Operation: 7*6=42, Resulting Numbers: [92, 42]
Generated Node #3: [92, 42] from Operation: 7*6=42
Current State: 50:[92, 42], Operations: ['62+30=92', '7*6=42']
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[62, 30, 7, 6], Operations: []
Exploring Operation: 62-7=55, Resulting Numbers: [30, 6, 55]
Generated Node #0,0: 50:[30, 6, 55] Operation: 62-7=55
Exploring Operation: 62-30=32, Resulting Numbers: [7, 6, 32]
Generated Node #0,1: 50:[7, 6, 32] Operation: 62-30=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[7, 6, 32], Operations: ['62-30=32']
Exploring Operation: 32-7=25, Resulting Numbers: [6, 25]
Generated Node #0,1,0: 50:[6, 25] Operation: 32-7=25
Exploring Operation: 32-6=26, Resulting Numbers: [7, 26]
Generated Node #0,1,1: 50:[7, 26] Operation: 32-6=26
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[6, 25], Operations: ['62-30=32', '32-7=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[7, 26], Operations: ['62-30=32', '32-6=26']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[30, 6, 55], Operations: ['62-7=55']
Exploring Operation: 55-30=25, Resulting Numbers: [6, 25]
Generated Node #0,0,0: 50:[6, 25] Operation: 55-30=25
Exploring Operation: 30/6=5, Resulting Numbers: [55, 5]
Generated Node #0,0,1: 50:[55, 5] Operation: 30/6=5
Moving to Node #0,0,0
Current State: 50:[6, 25], Operations: ['62-7=55', '55-30=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[55, 5], Operations: ['62-7=55', '30/6=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[62, 30, 7, 6], Operations: []
Exploring Operation: 62-7=55, Resulting Numbers: [30, 6, 55]
Generated Node #0,0: 50:[30, 6, 55] Operation: 62-7=55
Moving to Node #0,0
Current State: 50:[30, 6, 55], Operations: ['62-7=55']
Exploring Operation: 30/6=5, Resulting Numbers: [55, 5]
Generated Node #0,0,1: 50:[55, 5] Operation: 30/6=5
Moving to Node #0,0,1
Current State: 50:[55, 5], Operations: ['62-7=55', '30/6=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
26,
85,
35,
36
] | 58 | [
"85-26=59",
"36-35=1",
"59-1=58"
] | Current State: 58:[26, 85, 35, 36], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [35, 36, 59]
Generated Node #2: [35, 36, 59] from Operation: 85-26=59
Current State: 58:[35, 36, 59], Operations: ['85-26=59']
Exploring Operation: 36-35=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 36-35=1
Current State: 58:[59, 1], Operations: ['85-26=59', '36-35=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[26, 85, 35, 36], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [35, 36, 59]
Generated Node #0,0: 58:[35, 36, 59] Operation: 85-26=59
Exploring Operation: 85-35=50, Resulting Numbers: [26, 36, 50]
Generated Node #0,1: 58:[26, 36, 50] Operation: 85-35=50
Moving to Node #0,0
Current State: 58:[35, 36, 59], Operations: ['85-26=59']
Exploring Operation: 36-35=1, Resulting Numbers: [59, 1]
Generated Node #0,0,0: 58:[59, 1] Operation: 36-35=1
Exploring Operation: 59-35=24, Resulting Numbers: [36, 24]
Generated Node #0,0,1: 58:[36, 24] Operation: 59-35=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[59, 1], Operations: ['85-26=59', '36-35=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[26, 85, 35, 36], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [35, 36, 59]
Generated Node #0,0: 58:[35, 36, 59] Operation: 85-26=59
Moving to Node #0,0
Current State: 58:[35, 36, 59], Operations: ['85-26=59']
Exploring Operation: 36-35=1, Resulting Numbers: [59, 1]
Generated Node #0,0,0: 58:[59, 1] Operation: 36-35=1
Moving to Node #0,0,0
Current State: 58:[59, 1], Operations: ['85-26=59', '36-35=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
69,
11,
16,
60
] | 57 | [
"16-11=5",
"60/5=12",
"69-12=57"
] | Current State: 57:[69, 11, 16, 60], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [69, 60, 5]
Generated Node #2: [69, 60, 5] from Operation: 16-11=5
Current State: 57:[69, 60, 5], Operations: ['16-11=5']
Exploring Operation: 60/5=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 60/5=12
Current State: 57:[69, 12], Operations: ['16-11=5', '60/5=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[69, 11, 16, 60], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [16, 60, 58]
Generated Node #0,0: 57:[16, 60, 58] Operation: 69-11=58
Exploring Operation: 16-11=5, Resulting Numbers: [69, 60, 5]
Generated Node #0,1: 57:[69, 60, 5] Operation: 16-11=5
Exploring Operation: 69-60=9, Resulting Numbers: [11, 16, 9]
Generated Node #0,2: 57:[11, 16, 9] Operation: 69-60=9
Exploring Operation: 11+16=27, Resulting Numbers: [69, 60, 27]
Generated Node #0,3: 57:[69, 60, 27] Operation: 11+16=27
Exploring Operation: 69-16=53, Resulting Numbers: [11, 60, 53]
Generated Node #0,4: 57:[11, 60, 53] Operation: 69-16=53
Moving to Node #0,0
Current State: 57:[16, 60, 58], Operations: ['69-11=58']
Exploring Operation: 60-58=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 57:[16, 2] Operation: 60-58=2
Exploring Operation: 58-16=42, Resulting Numbers: [60, 42]
Generated Node #0,0,1: 57:[60, 42] Operation: 58-16=42
Exploring Operation: 16+58=74, Resulting Numbers: [60, 74]
Generated Node #0,0,2: 57:[60, 74] Operation: 16+58=74
Exploring Operation: 60-16=44, Resulting Numbers: [58, 44]
Generated Node #0,0,3: 57:[58, 44] Operation: 60-16=44
Exploring Operation: 16+60=76, Resulting Numbers: [58, 76]
Generated Node #0,0,4: 57:[58, 76] Operation: 16+60=76
Moving to Node #0,4
Current State: 57:[11, 60, 53], Operations: ['69-16=53']
Exploring Operation: 11+60=71, Resulting Numbers: [53, 71]
Generated Node #0,4,0: 57:[53, 71] Operation: 11+60=71
Exploring Operation: 60-11=49, Resulting Numbers: [53, 49]
Generated Node #0,4,1: 57:[53, 49] Operation: 60-11=49
Exploring Operation: 11+53=64, Resulting Numbers: [60, 64]
Generated Node #0,4,2: 57:[60, 64] Operation: 11+53=64
Exploring Operation: 53-11=42, Resulting Numbers: [60, 42]
Generated Node #0,4,3: 57:[60, 42] Operation: 53-11=42
Exploring Operation: 60-53=7, Resulting Numbers: [11, 7]
Generated Node #0,4,4: 57:[11, 7] Operation: 60-53=7
Moving to Node #0,1
Current State: 57:[69, 60, 5], Operations: ['16-11=5']
Exploring Operation: 60/5=12, Resulting Numbers: [69, 12]
Generated Node #0,1,0: 57:[69, 12] Operation: 60/5=12
Exploring Operation: 69-60=9, Resulting Numbers: [5, 9]
Generated Node #0,1,1: 57:[5, 9] Operation: 69-60=9
Exploring Operation: 69-5=64, Resulting Numbers: [60, 64]
Generated Node #0,1,2: 57:[60, 64] Operation: 69-5=64
Exploring Operation: 69+5=74, Resulting Numbers: [60, 74]
Generated Node #0,1,3: 57:[60, 74] Operation: 69+5=74
Exploring Operation: 60-5=55, Resulting Numbers: [69, 55]
Generated Node #0,1,4: 57:[69, 55] Operation: 60-5=55
Moving to Node #0,2
Current State: 57:[11, 16, 9], Operations: ['69-60=9']
Exploring Operation: 11+9=20, Resulting Numbers: [16, 20]
Generated Node #0,2,0: 57:[16, 20] Operation: 11+9=20
Exploring Operation: 16-9=7, Resulting Numbers: [11, 7]
Generated Node #0,2,1: 57:[11, 7] Operation: 16-9=7
Exploring Operation: 11+16=27, Resulting Numbers: [9, 27]
Generated Node #0,2,2: 57:[9, 27] Operation: 11+16=27
Exploring Operation: 11-9=2, Resulting Numbers: [16, 2]
Generated Node #0,2,3: 57:[16, 2] Operation: 11-9=2
Exploring Operation: 16-11=5, Resulting Numbers: [9, 5]
Generated Node #0,2,4: 57:[9, 5] Operation: 16-11=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[16, 20], Operations: ['69-60=9', '11+9=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,57 unequal: No Solution
Exploring Operation: 16*20=320, Resulting Numbers: [320]
320,57 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,57 unequal: No Solution
No 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: 57:[16, 2], Operations: ['69-60=9', '11-9=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,57 unequal: No Solution
No 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: 57:[9, 5], Operations: ['69-60=9', '16-11=5']
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,57 unequal: No Solution
No 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: 57:[11, 7], Operations: ['69-60=9', '16-9=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,57 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,57 unequal: No Solution
No 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: 57:[9, 27], Operations: ['69-60=9', '11+16=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,57 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,57 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: 57:[69, 60, 27], Operations: ['11+16=27']
Exploring Operation: 60+27=87, Resulting Numbers: [69, 87]
Generated Node #0,3,0: 57:[69, 87] Operation: 60+27=87
Exploring Operation: 69+27=96, Resulting Numbers: [60, 96]
Generated Node #0,3,1: 57:[60, 96] Operation: 69+27=96
Exploring Operation: 69-27=42, Resulting Numbers: [60, 42]
Generated Node #0,3,2: 57:[60, 42] Operation: 69-27=42
Exploring Operation: 60-27=33, Resulting Numbers: [69, 33]
Generated Node #0,3,3: 57:[69, 33] Operation: 60-27=33
Exploring Operation: 69-60=9, Resulting Numbers: [27, 9]
Generated Node #0,3,4: 57:[27, 9] Operation: 69-60=9
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 57:[27, 9], Operations: ['11+16=27', '69-60=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,57 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,57 unequal: No Solution
No 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: 57:[60, 42], Operations: ['11+16=27', '69-27=42']
Exploring Operation: 60*42=2520, Resulting Numbers: [2520]
2520,57 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 60+42=102, Resulting Numbers: [102]
102,57 unequal: No Solution
No 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: 57:[69, 33], Operations: ['11+16=27', '60-27=33']
Exploring Operation: 69*33=2277, Resulting Numbers: [2277]
2277,57 unequal: No Solution
Exploring Operation: 69+33=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,57 unequal: No Solution
No 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: 57:[69, 87], Operations: ['11+16=27', '60+27=87']
Exploring Operation: 69*87=6003, Resulting Numbers: [6003]
6003,57 unequal: No Solution
Exploring Operation: 69+87=156, Resulting Numbers: [156]
156,57 unequal: No Solution
Exploring Operation: 87-69=18, Resulting Numbers: [18]
18,57 unequal: No Solution
No 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: 57:[60, 96], Operations: ['11+16=27', '69+27=96']
Exploring Operation: 60+96=156, Resulting Numbers: [156]
156,57 unequal: No Solution
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,57 unequal: No Solution
Exploring Operation: 60*96=5760, Resulting Numbers: [5760]
5760,57 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: 57:[16, 2], Operations: ['69-11=58', '60-58=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[5, 9], Operations: ['16-11=5', '69-60=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,57 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Moving to Node #0,4,2
Current State: 57:[60, 64], Operations: ['69-16=53', '11+53=64']
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,57 unequal: No Solution
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,57 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[60, 64], Operations: ['16-11=5', '69-5=64']
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,57 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,57 unequal: No Solution
Moving to Node #0,4,1
Current State: 57:[53, 49], Operations: ['69-16=53', '60-11=49']
Exploring Operation: 53+49=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 53-49=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 53*49=2597, Resulting Numbers: [2597]
2597,57 unequal: No Solution
Moving to Node #0,4,4
Current State: 57:[11, 7], Operations: ['69-16=53', '60-53=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,57 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Moving to Node #0,1,4
Current State: 57:[69, 55], Operations: ['16-11=5', '60-5=55']
Exploring Operation: 69+55=124, Resulting Numbers: [124]
124,57 unequal: No Solution
Exploring Operation: 69-55=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 69*55=3795, Resulting Numbers: [3795]
3795,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[58, 44], Operations: ['69-11=58', '60-16=44']
Exploring Operation: 58+44=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 58*44=2552, Resulting Numbers: [2552]
2552,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[60, 42], Operations: ['69-11=58', '58-16=42']
Exploring Operation: 60*42=2520, Resulting Numbers: [2520]
2520,57 unequal: No Solution
Exploring Operation: 60+42=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Moving to Node #0,4,3
Current State: 57:[60, 42], Operations: ['69-16=53', '53-11=42']
Exploring Operation: 60*42=2520, Resulting Numbers: [2520]
2520,57 unequal: No Solution
Exploring Operation: 60+42=102, Resulting Numbers: [102]
102,57 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Moving to Node #0,4,0
Current State: 57:[53, 71], Operations: ['69-16=53', '11+60=71']
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 53*71=3763, Resulting Numbers: [3763]
3763,57 unequal: No Solution
Exploring Operation: 53+71=124, Resulting Numbers: [124]
124,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[69, 12], Operations: ['16-11=5', '60/5=12']
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,57 unequal: No Solution
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,57 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[69, 11, 16, 60], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [69, 60, 5]
Generated Node #0,1: 57:[69, 60, 5] Operation: 16-11=5
Moving to Node #0,1
Current State: 57:[69, 60, 5], Operations: ['16-11=5']
Exploring Operation: 60/5=12, Resulting Numbers: [69, 12]
Generated Node #0,1,0: 57:[69, 12] Operation: 60/5=12
Moving to Node #0,1,0
Current State: 57:[69, 12], Operations: ['16-11=5', '60/5=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.909722 | hs_5 | mult_heuristic |
[
67,
84,
2,
47
] | 44 | [
"67-47=20",
"2*20=40",
"84-40=44"
] | Current State: 44:[67, 84, 2, 47], Operations: []
Exploring Operation: 67-47=20, Resulting Numbers: [84, 2, 20]
Generated Node #2: [84, 2, 20] from Operation: 67-47=20
Current State: 44:[84, 2, 20], Operations: ['67-47=20']
Exploring Operation: 2*20=40, Resulting Numbers: [84, 40]
Generated Node #3: [84, 40] from Operation: 2*20=40
Current State: 44:[84, 40], Operations: ['67-47=20', '2*20=40']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[67, 84, 2, 47], Operations: []
Exploring Operation: 67-47=20, Resulting Numbers: [84, 2, 20]
Generated Node #0,0: 44:[84, 2, 20] Operation: 67-47=20
Exploring Operation: 84-67=17, Resulting Numbers: [2, 47, 17]
Generated Node #0,1: 44:[2, 47, 17] Operation: 84-67=17
Exploring Operation: 84-47=37, Resulting Numbers: [67, 2, 37]
Generated Node #0,2: 44:[67, 2, 37] Operation: 84-47=37
Exploring Operation: 84/2=42, Resulting Numbers: [67, 47, 42]
Generated Node #0,3: 44:[67, 47, 42] Operation: 84/2=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[2, 47, 17], Operations: ['84-67=17']
Exploring Operation: 47-2=45, Resulting Numbers: [17, 45]
Generated Node #0,1,0: 44:[17, 45] Operation: 47-2=45
Exploring Operation: 17-2=15, Resulting Numbers: [47, 15]
Generated Node #0,1,1: 44:[47, 15] Operation: 17-2=15
Exploring Operation: 2+17=19, Resulting Numbers: [47, 19]
Generated Node #0,1,2: 44:[47, 19] Operation: 2+17=19
Exploring Operation: 47-17=30, Resulting Numbers: [2, 30]
Generated Node #0,1,3: 44:[2, 30] Operation: 47-17=30
Moving to Node #0,1,0
Current State: 44:[17, 45], Operations: ['84-67=17', '47-2=45']
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 17*45=765, Resulting Numbers: [765]
765,44 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[47, 19], Operations: ['84-67=17', '2+17=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,44 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[47, 15], Operations: ['84-67=17', '17-2=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 47+15=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 47*15=705, Resulting Numbers: [705]
705,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[2, 30], Operations: ['84-67=17', '47-17=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[67, 47, 42], Operations: ['84/2=42']
Exploring Operation: 67-42=25, Resulting Numbers: [47, 25]
Generated Node #0,3,0: 44:[47, 25] Operation: 67-42=25
Exploring Operation: 67+42=109, Resulting Numbers: [47, 109]
Generated Node #0,3,1: 44:[47, 109] Operation: 67+42=109
Exploring Operation: 67-47=20, Resulting Numbers: [42, 20]
Generated Node #0,3,2: 44:[42, 20] Operation: 67-47=20
Exploring Operation: 47-42=5, Resulting Numbers: [67, 5]
Generated Node #0,3,3: 44:[67, 5] Operation: 47-42=5
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 44:[42, 20], Operations: ['84/2=42', '67-47=20']
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 42*20=840, Resulting Numbers: [840]
840,44 unequal: No Solution
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 44:[47, 25], Operations: ['84/2=42', '67-42=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 47*25=1175, Resulting Numbers: [1175]
1175,44 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 44:[67, 5], Operations: ['84/2=42', '47-42=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,44 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,44 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 44:[47, 109], Operations: ['84/2=42', '67+42=109']
Exploring Operation: 47*109=5123, Resulting Numbers: [5123]
5123,44 unequal: No Solution
Exploring Operation: 109-47=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 47+109=156, Resulting Numbers: [156]
156,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[67, 2, 37], Operations: ['84-47=37']
Exploring Operation: 2+37=39, Resulting Numbers: [67, 39]
Generated Node #0,2,0: 44:[67, 39] Operation: 2+37=39
Exploring Operation: 67+2=69, Resulting Numbers: [37, 69]
Generated Node #0,2,1: 44:[37, 69] Operation: 67+2=69
Exploring Operation: 67-2=65, Resulting Numbers: [37, 65]
Generated Node #0,2,2: 44:[37, 65] Operation: 67-2=65
Exploring Operation: 67-37=30, Resulting Numbers: [2, 30]
Generated Node #0,2,3: 44:[2, 30] Operation: 67-37=30
Moving to Node #0,2,3
Current State: 44:[2, 30], Operations: ['84-47=37', '67-37=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,44 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[37, 65], Operations: ['84-47=37', '67-2=65']
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Exploring Operation: 37+65=102, Resulting Numbers: [102]
102,44 unequal: No Solution
Exploring Operation: 37*65=2405, Resulting Numbers: [2405]
2405,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[67, 39], Operations: ['84-47=37', '2+37=39']
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Exploring Operation: 67*39=2613, Resulting Numbers: [2613]
2613,44 unequal: No Solution
Exploring Operation: 67+39=106, Resulting Numbers: [106]
106,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[37, 69], Operations: ['84-47=37', '67+2=69']
Exploring Operation: 69-37=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 37*69=2553, Resulting Numbers: [2553]
2553,44 unequal: No Solution
Exploring Operation: 37+69=106, Resulting Numbers: [106]
106,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[84, 2, 20], Operations: ['67-47=20']
Exploring Operation: 2+20=22, Resulting Numbers: [84, 22]
Generated Node #0,0,0: 44:[84, 22] Operation: 2+20=22
Exploring Operation: 84/2=42, Resulting Numbers: [20, 42]
Generated Node #0,0,1: 44:[20, 42] Operation: 84/2=42
Exploring Operation: 84-20=64, Resulting Numbers: [2, 64]
Generated Node #0,0,2: 44:[2, 64] Operation: 84-20=64
Exploring Operation: 84-2=82, Resulting Numbers: [20, 82]
Generated Node #0,0,3: 44:[20, 82] Operation: 84-2=82
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[20, 42], Operations: ['67-47=20', '84/2=42']
Exploring Operation: 20*42=840, Resulting Numbers: [840]
840,44 unequal: No Solution
Exploring Operation: 20+42=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 44:[2, 64], Operations: ['67-47=20', '84-20=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,44 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,44 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[84, 22], Operations: ['67-47=20', '2+20=22']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 84+22=106, Resulting Numbers: [106]
106,44 unequal: No Solution
Exploring Operation: 84*22=1848, Resulting Numbers: [1848]
1848,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 44:[20, 82], Operations: ['67-47=20', '84-2=82']
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,44 unequal: No Solution
Exploring Operation: 20*82=1640, Resulting Numbers: [1640]
1640,44 unequal: No Solution
Exploring Operation: 20+82=102, Resulting Numbers: [102]
102,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
65,
5,
9,
50
] | 46 | [
"65/5=13",
"9+50=59",
"59-13=46"
] | Current State: 46:[65, 5, 9, 50], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [9, 50, 13]
Generated Node #2: [9, 50, 13] from Operation: 65/5=13
Current State: 46:[9, 50, 13], Operations: ['65/5=13']
Exploring Operation: 9+50=59, Resulting Numbers: [13, 59]
Generated Node #3: [13, 59] from Operation: 9+50=59
Current State: 46:[13, 59], Operations: ['65/5=13', '9+50=59']
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[65, 5, 9, 50], Operations: []
Exploring Operation: 65-9=56, Resulting Numbers: [5, 50, 56]
Generated Node #0,0: 46:[5, 50, 56] Operation: 65-9=56
Exploring Operation: 65/5=13, Resulting Numbers: [9, 50, 13]
Generated Node #0,1: 46:[9, 50, 13] Operation: 65/5=13
Exploring Operation: 65-50=15, Resulting Numbers: [5, 9, 15]
Generated Node #0,2: 46:[5, 9, 15] Operation: 65-50=15
Moving to Node #0,0
Current State: 46:[5, 50, 56], Operations: ['65-9=56']
Exploring Operation: 56-5=51, Resulting Numbers: [50, 51]
Generated Node #0,0,0: 46:[50, 51] Operation: 56-5=51
Exploring Operation: 50-5=45, Resulting Numbers: [56, 45]
Generated Node #0,0,1: 46:[56, 45] Operation: 50-5=45
Exploring Operation: 56-50=6, Resulting Numbers: [5, 6]
Generated Node #0,0,2: 46:[5, 6] Operation: 56-50=6
Moving to Node #0,2
Current State: 46:[5, 9, 15], Operations: ['65-50=15']
Exploring Operation: 9+15=24, Resulting Numbers: [5, 24]
Generated Node #0,2,0: 46:[5, 24] Operation: 9+15=24
Exploring Operation: 15/5=3, Resulting Numbers: [9, 3]
Generated Node #0,2,1: 46:[9, 3] Operation: 15/5=3
Exploring Operation: 15-9=6, Resulting Numbers: [5, 6]
Generated Node #0,2,2: 46:[5, 6] Operation: 15-9=6
Moving to Node #0,1
Current State: 46:[9, 50, 13], Operations: ['65/5=13']
Exploring Operation: 13-9=4, Resulting Numbers: [50, 4]
Generated Node #0,1,0: 46:[50, 4] Operation: 13-9=4
Exploring Operation: 9+13=22, Resulting Numbers: [50, 22]
Generated Node #0,1,1: 46:[50, 22] Operation: 9+13=22
Exploring Operation: 50-9=41, Resulting Numbers: [13, 41]
Generated Node #0,1,2: 46:[13, 41] Operation: 50-9=41
Moving to Node #0,2,0
Current State: 46:[5, 24], Operations: ['65-50=15', '9+15=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,46 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[50, 22], Operations: ['65/5=13', '9+13=22']
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 50*22=1100, Resulting Numbers: [1100]
1100,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[50, 4], Operations: ['65/5=13', '13-9=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[65, 5, 9, 50], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [9, 50, 13]
Generated Node #0,1: 46:[9, 50, 13] Operation: 65/5=13
Moving to Node #0,1
Current State: 46:[9, 50, 13], Operations: ['65/5=13']
Exploring Operation: 13-9=4, Resulting Numbers: [50, 4]
Generated Node #0,1,0: 46:[50, 4] Operation: 13-9=4
Moving to Node #0,1,0
Current State: 46:[50, 4], Operations: ['65/5=13', '13-9=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.980035 | hs_3 | sum_heuristic |
[
92,
14,
57,
32
] | 80 | [
"92-57=35",
"32*35=1120",
"1120/14=80"
] | Current State: 80:[92, 14, 57, 32], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [14, 32, 35]
Generated Node #2: [14, 32, 35] from Operation: 92-57=35
Current State: 80:[14, 32, 35], Operations: ['92-57=35']
Exploring Operation: 32*35=1120, Resulting Numbers: [14, 1120]
Generated Node #3: [14, 1120] from Operation: 32*35=1120
Current State: 80:[14, 1120], Operations: ['92-57=35', '32*35=1120']
Exploring Operation: 1120/14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[92, 14, 57, 32], Operations: []
Exploring Operation: 57-14=43, Resulting Numbers: [92, 32, 43]
Generated Node #0,0: 80:[92, 32, 43] Operation: 57-14=43
Exploring Operation: 57+32=89, Resulting Numbers: [92, 14, 89]
Generated Node #0,1: 80:[92, 14, 89] Operation: 57+32=89
Exploring Operation: 57-32=25, Resulting Numbers: [92, 14, 25]
Generated Node #0,2: 80:[92, 14, 25] Operation: 57-32=25
Exploring Operation: 92-57=35, Resulting Numbers: [14, 32, 35]
Generated Node #0,3: 80:[14, 32, 35] Operation: 92-57=35
Moving to Node #0,3
Current State: 80:[14, 32, 35], Operations: ['92-57=35']
Exploring Operation: 14+32=46, Resulting Numbers: [35, 46]
Generated Node #0,3,0: 80:[35, 46] Operation: 14+32=46
Exploring Operation: 35-32=3, Resulting Numbers: [14, 3]
Generated Node #0,3,1: 80:[14, 3] Operation: 35-32=3
Exploring Operation: 35-14=21, Resulting Numbers: [32, 21]
Generated Node #0,3,2: 80:[32, 21] Operation: 35-14=21
Exploring Operation: 32-14=18, Resulting Numbers: [35, 18]
Generated Node #0,3,3: 80:[35, 18] Operation: 32-14=18
Moving to Node #0,2
Current State: 80:[92, 14, 25], Operations: ['57-32=25']
Exploring Operation: 14+25=39, Resulting Numbers: [92, 39]
Generated Node #0,2,0: 80:[92, 39] Operation: 14+25=39
Exploring Operation: 92-14=78, Resulting Numbers: [25, 78]
Generated Node #0,2,1: 80:[25, 78] Operation: 92-14=78
Exploring Operation: 92-25=67, Resulting Numbers: [14, 67]
Generated Node #0,2,2: 80:[14, 67] Operation: 92-25=67
Exploring Operation: 25-14=11, Resulting Numbers: [92, 11]
Generated Node #0,2,3: 80:[92, 11] Operation: 25-14=11
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[25, 78], Operations: ['57-32=25', '92-14=78']
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 25+78=103, Resulting Numbers: [103]
103,80 unequal: No Solution
Exploring Operation: 25*78=1950, Resulting Numbers: [1950]
1950,80 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:[92, 39], Operations: ['57-32=25', '14+25=39']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 92*39=3588, Resulting Numbers: [3588]
3588,80 unequal: No Solution
Exploring Operation: 92+39=131, Resulting Numbers: [131]
131,80 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 #0,2,3
Current State: 80:[92, 11], Operations: ['57-32=25', '25-14=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 92*11=1012, Resulting Numbers: [1012]
1012,80 unequal: No Solution
Exploring Operation: 92+11=103, Resulting Numbers: [103]
103,80 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:[14, 67], Operations: ['57-32=25', '92-25=67']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 14*67=938, Resulting Numbers: [938]
938,80 unequal: No Solution
Exploring Operation: 14+67=81, Resulting Numbers: [81]
81,80 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:[92, 14, 89], Operations: ['57+32=89']
Exploring Operation: 92-14=78, Resulting Numbers: [89, 78]
Generated Node #0,1,0: 80:[89, 78] Operation: 92-14=78
Exploring Operation: 89-14=75, Resulting Numbers: [92, 75]
Generated Node #0,1,1: 80:[92, 75] Operation: 89-14=75
Exploring Operation: 92+14=106, Resulting Numbers: [89, 106]
Generated Node #0,1,2: 80:[89, 106] Operation: 92+14=106
Exploring Operation: 92-89=3, Resulting Numbers: [14, 3]
Generated Node #0,1,3: 80:[14, 3] Operation: 92-89=3
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[14, 3], Operations: ['57+32=89', '92-89=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,80 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 #0,1,0
Current State: 80:[89, 78], Operations: ['57+32=89', '92-14=78']
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 89*78=6942, Resulting Numbers: [6942]
6942,80 unequal: No Solution
Exploring Operation: 89+78=167, Resulting Numbers: [167]
167,80 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:[92, 75], Operations: ['57+32=89', '89-14=75']
Exploring Operation: 92+75=167, Resulting Numbers: [167]
167,80 unequal: No Solution
Exploring Operation: 92-75=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 92*75=6900, Resulting Numbers: [6900]
6900,80 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:[89, 106], Operations: ['57+32=89', '92+14=106']
Exploring Operation: 106-89=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 89*106=9434, Resulting Numbers: [9434]
9434,80 unequal: No Solution
Exploring Operation: 89+106=195, Resulting Numbers: [195]
195,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 80:[92, 32, 43], Operations: ['57-14=43']
Exploring Operation: 32+43=75, Resulting Numbers: [92, 75]
Generated Node #0,0,0: 80:[92, 75] Operation: 32+43=75
Exploring Operation: 43-32=11, Resulting Numbers: [92, 11]
Generated Node #0,0,1: 80:[92, 11] Operation: 43-32=11
Exploring Operation: 92-43=49, Resulting Numbers: [32, 49]
Generated Node #0,0,2: 80:[32, 49] Operation: 92-43=49
Exploring Operation: 92-32=60, Resulting Numbers: [43, 60]
Generated Node #0,0,3: 80:[43, 60] Operation: 92-32=60
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[92, 11], Operations: ['57-14=43', '43-32=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 92+11=103, Resulting Numbers: [103]
103,80 unequal: No Solution
Exploring Operation: 92*11=1012, Resulting Numbers: [1012]
1012,80 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 #0,0,0
Current State: 80:[92, 75], Operations: ['57-14=43', '32+43=75']
Exploring Operation: 92-75=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 92+75=167, Resulting Numbers: [167]
167,80 unequal: No Solution
Exploring Operation: 92*75=6900, Resulting Numbers: [6900]
6900,80 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:[32, 49], Operations: ['57-14=43', '92-43=49']
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 32*49=1568, Resulting Numbers: [1568]
1568,80 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,80 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 #0,0,3
Current State: 80:[43, 60], Operations: ['57-14=43', '92-32=60']
Exploring Operation: 43*60=2580, Resulting Numbers: [2580]
2580,80 unequal: No Solution
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 43+60=103, Resulting Numbers: [103]
103,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 80:[14, 3], Operations: ['92-57=35', '35-32=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[35, 18], Operations: ['92-57=35', '32-14=18']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 35*18=630, Resulting Numbers: [630]
630,80 unequal: No Solution
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[32, 21], Operations: ['92-57=35', '35-14=21']
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,80 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[35, 46], Operations: ['92-57=35', '14+32=46']
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,80 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,80 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
74,
50,
31,
14
] | 21 | [
"74-50=24",
"31+14=45",
"45-24=21"
] | Current State: 21:[74, 50, 31, 14], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [31, 14, 24]
Generated Node #2: [31, 14, 24] from Operation: 74-50=24
Current State: 21:[31, 14, 24], Operations: ['74-50=24']
Exploring Operation: 31+14=45, Resulting Numbers: [24, 45]
Generated Node #3: [24, 45] from Operation: 31+14=45
Current State: 21:[24, 45], Operations: ['74-50=24', '31+14=45']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[74, 50, 31, 14], Operations: []
Exploring Operation: 74-31=43, Resulting Numbers: [50, 14, 43]
Generated Node #0,0: 21:[50, 14, 43] Operation: 74-31=43
Exploring Operation: 50-31=19, Resulting Numbers: [74, 14, 19]
Generated Node #0,1: 21:[74, 14, 19] Operation: 50-31=19
Exploring Operation: 74-50=24, Resulting Numbers: [31, 14, 24]
Generated Node #0,2: 21:[31, 14, 24] Operation: 74-50=24
Exploring Operation: 74-14=60, Resulting Numbers: [50, 31, 60]
Generated Node #0,3: 21:[50, 31, 60] Operation: 74-14=60
Moving to Node #0,2
Current State: 21:[31, 14, 24], Operations: ['74-50=24']
Exploring Operation: 31+14=45, Resulting Numbers: [24, 45]
Generated Node #0,2,0: 21:[24, 45] Operation: 31+14=45
Exploring Operation: 31-24=7, Resulting Numbers: [14, 7]
Generated Node #0,2,1: 21:[14, 7] Operation: 31-24=7
Exploring Operation: 24-14=10, Resulting Numbers: [31, 10]
Generated Node #0,2,2: 21:[31, 10] Operation: 24-14=10
Exploring Operation: 31-14=17, Resulting Numbers: [24, 17]
Generated Node #0,2,3: 21:[24, 17] Operation: 31-14=17
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[14, 7], Operations: ['74-50=24', '31-24=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[74, 50, 31, 14], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [31, 14, 24]
Generated Node #0,2: 21:[31, 14, 24] Operation: 74-50=24
Moving to Node #0,2
Current State: 21:[31, 14, 24], Operations: ['74-50=24']
Exploring Operation: 31-24=7, Resulting Numbers: [14, 7]
Generated Node #0,2,1: 21:[14, 7] Operation: 31-24=7
Moving to Node #0,2,1
Current State: 21:[14, 7], Operations: ['74-50=24', '31-24=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
40,
9,
78,
65
] | 18 | [
"40-9=31",
"78-65=13",
"31-13=18"
] | Current State: 18:[40, 9, 78, 65], Operations: []
Exploring Operation: 40-9=31, Resulting Numbers: [78, 65, 31]
Generated Node #2: [78, 65, 31] from Operation: 40-9=31
Current State: 18:[78, 65, 31], Operations: ['40-9=31']
Exploring Operation: 78-65=13, Resulting Numbers: [31, 13]
Generated Node #3: [31, 13] from Operation: 78-65=13
Current State: 18:[31, 13], Operations: ['40-9=31', '78-65=13']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[40, 9, 78, 65], Operations: []
Exploring Operation: 78-40=38, Resulting Numbers: [9, 65, 38]
Generated Node #0,0: 18:[9, 65, 38] Operation: 78-40=38
Exploring Operation: 78-65=13, Resulting Numbers: [40, 9, 13]
Generated Node #0,1: 18:[40, 9, 13] Operation: 78-65=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[40, 9, 13], Operations: ['78-65=13']
Exploring Operation: 40-9=31, Resulting Numbers: [13, 31]
Generated Node #0,1,0: 18:[13, 31] Operation: 40-9=31
Exploring Operation: 40-13=27, Resulting Numbers: [9, 27]
Generated Node #0,1,1: 18:[9, 27] Operation: 40-13=27
Moving to Node #0,1,1
Current State: 18:[9, 27], Operations: ['78-65=13', '40-13=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[40, 9, 78, 65], Operations: []
Exploring Operation: 78-65=13, Resulting Numbers: [40, 9, 13]
Generated Node #0,1: 18:[40, 9, 13] Operation: 78-65=13
Moving to Node #0,1
Current State: 18:[40, 9, 13], Operations: ['78-65=13']
Exploring Operation: 40-13=27, Resulting Numbers: [9, 27]
Generated Node #0,1,1: 18:[9, 27] Operation: 40-13=27
Moving to Node #0,1,1
Current State: 18:[9, 27], Operations: ['78-65=13', '40-13=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
25,
55,
58,
95
] | 52 | [
"55+95=150",
"150/25=6",
"58-6=52"
] | Current State: 52:[25, 55, 58, 95], Operations: []
Exploring Operation: 55+95=150, Resulting Numbers: [25, 58, 150]
Generated Node #2: [25, 58, 150] from Operation: 55+95=150
Current State: 52:[25, 58, 150], Operations: ['55+95=150']
Exploring Operation: 150/25=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 150/25=6
Current State: 52:[58, 6], Operations: ['55+95=150', '150/25=6']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[25, 55, 58, 95], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [25, 58, 40]
Generated Node #0,0: 52:[25, 58, 40] Operation: 95-55=40
Exploring Operation: 95-25=70, Resulting Numbers: [55, 58, 70]
Generated Node #0,1: 52:[55, 58, 70] Operation: 95-25=70
Exploring Operation: 95-58=37, Resulting Numbers: [25, 55, 37]
Generated Node #0,2: 52:[25, 55, 37] Operation: 95-58=37
Exploring Operation: 58-55=3, Resulting Numbers: [25, 95, 3]
Generated Node #0,3: 52:[25, 95, 3] Operation: 58-55=3
Moving to Node #0,2
Current State: 52:[25, 55, 37], Operations: ['95-58=37']
Exploring Operation: 55-25=30, Resulting Numbers: [37, 30]
Generated Node #0,2,0: 52:[37, 30] Operation: 55-25=30
Exploring Operation: 25+37=62, Resulting Numbers: [55, 62]
Generated Node #0,2,1: 52:[55, 62] Operation: 25+37=62
Exploring Operation: 55-37=18, Resulting Numbers: [25, 18]
Generated Node #0,2,2: 52:[25, 18] Operation: 55-37=18
Exploring Operation: 37-25=12, Resulting Numbers: [55, 12]
Generated Node #0,2,3: 52:[55, 12] Operation: 37-25=12
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 52:[55, 12], Operations: ['95-58=37', '37-25=12']
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,52 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,52 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 #0,2,2
Current State: 52:[25, 18], Operations: ['95-58=37', '55-37=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,52 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 #0,2,1
Current State: 52:[55, 62], Operations: ['95-58=37', '25+37=62']
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 55*62=3410, Resulting Numbers: [3410]
3410,52 unequal: No Solution
Exploring Operation: 55+62=117, Resulting Numbers: [117]
117,52 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 #0,2,0
Current State: 52:[37, 30], Operations: ['95-58=37', '55-25=30']
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 37*30=1110, Resulting Numbers: [1110]
1110,52 unequal: No Solution
Exploring Operation: 37+30=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 #0,0
Current State: 52:[25, 58, 40], Operations: ['95-55=40']
Exploring Operation: 58-25=33, Resulting Numbers: [40, 33]
Generated Node #0,0,0: 52:[40, 33] Operation: 58-25=33
Exploring Operation: 58-40=18, Resulting Numbers: [25, 18]
Generated Node #0,0,1: 52:[25, 18] Operation: 58-40=18
Exploring Operation: 40-25=15, Resulting Numbers: [58, 15]
Generated Node #0,0,2: 52:[58, 15] Operation: 40-25=15
Exploring Operation: 25+40=65, Resulting Numbers: [58, 65]
Generated Node #0,0,3: 52:[58, 65] Operation: 25+40=65
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[25, 18], Operations: ['95-55=40', '58-40=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,52 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,52 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 #0,0,2
Current State: 52:[58, 15], Operations: ['95-55=40', '40-25=15']
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,52 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,52 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 #0,0,0
Current State: 52:[40, 33], Operations: ['95-55=40', '58-25=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Exploring Operation: 40*33=1320, Resulting Numbers: [1320]
1320,52 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,52 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 #0,0,3
Current State: 52:[58, 65], Operations: ['95-55=40', '25+40=65']
Exploring Operation: 65-58=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 58+65=123, Resulting Numbers: [123]
123,52 unequal: No Solution
Exploring Operation: 58*65=3770, Resulting Numbers: [3770]
3770,52 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:[55, 58, 70], Operations: ['95-25=70']
Exploring Operation: 55+58=113, Resulting Numbers: [70, 113]
Generated Node #0,1,0: 52:[70, 113] Operation: 55+58=113
Exploring Operation: 70-58=12, Resulting Numbers: [55, 12]
Generated Node #0,1,1: 52:[55, 12] Operation: 70-58=12
Exploring Operation: 70-55=15, Resulting Numbers: [58, 15]
Generated Node #0,1,2: 52:[58, 15] Operation: 70-55=15
Exploring Operation: 58-55=3, Resulting Numbers: [70, 3]
Generated Node #0,1,3: 52:[70, 3] Operation: 58-55=3
Moving to Node #0,3
Current State: 52:[25, 95, 3], Operations: ['58-55=3']
Exploring Operation: 25-3=22, Resulting Numbers: [95, 22]
Generated Node #0,3,0: 52:[95, 22] Operation: 25-3=22
Exploring Operation: 95-25=70, Resulting Numbers: [3, 70]
Generated Node #0,3,1: 52:[3, 70] Operation: 95-25=70
Exploring Operation: 25+3=28, Resulting Numbers: [95, 28]
Generated Node #0,3,2: 52:[95, 28] Operation: 25+3=28
Exploring Operation: 95-3=92, Resulting Numbers: [25, 92]
Generated Node #0,3,3: 52:[25, 92] Operation: 95-3=92
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[3, 70], Operations: ['58-55=3', '95-25=70']
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,52 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,52 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 #0,3,3
Current State: 52:[25, 92], Operations: ['58-55=3', '95-3=92']
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 25+92=117, Resulting Numbers: [117]
117,52 unequal: No Solution
Exploring Operation: 25*92=2300, Resulting Numbers: [2300]
2300,52 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 #0,3,2
Current State: 52:[95, 28], Operations: ['58-55=3', '25+3=28']
Exploring Operation: 95*28=2660, Resulting Numbers: [2660]
2660,52 unequal: No Solution
Exploring Operation: 95+28=123, Resulting Numbers: [123]
123,52 unequal: No Solution
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,52 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 #0,3,0
Current State: 52:[95, 22], Operations: ['58-55=3', '25-3=22']
Exploring Operation: 95*22=2090, Resulting Numbers: [2090]
2090,52 unequal: No Solution
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Exploring Operation: 95+22=117, Resulting Numbers: [117]
117,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 52:[55, 12], Operations: ['95-25=70', '70-58=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[58, 15], Operations: ['95-25=70', '70-55=15']
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,52 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[70, 3], Operations: ['95-25=70', '58-55=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,52 unequal: No Solution
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Exploring Operation: 70*3=210, Resulting Numbers: [210]
210,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[70, 113], Operations: ['95-25=70', '55+58=113']
Exploring Operation: 70+113=183, Resulting Numbers: [183]
183,52 unequal: No Solution
Exploring Operation: 113-70=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 70*113=7910, Resulting Numbers: [7910]
7910,52 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
46,
89,
49,
9
] | 54 | [
"89-46=43",
"49-43=6",
"9*6=54"
] | Current State: 54:[46, 89, 49, 9], Operations: []
Exploring Operation: 89-46=43, Resulting Numbers: [49, 9, 43]
Generated Node #2: [49, 9, 43] from Operation: 89-46=43
Current State: 54:[49, 9, 43], Operations: ['89-46=43']
Exploring Operation: 49-43=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 49-43=6
Current State: 54:[9, 6], Operations: ['89-46=43', '49-43=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[46, 89, 49, 9], Operations: []
Exploring Operation: 89-46=43, Resulting Numbers: [49, 9, 43]
Generated Node #0,0: 54:[49, 9, 43] Operation: 89-46=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[49, 9, 43], Operations: ['89-46=43']
Exploring Operation: 49-43=6, Resulting Numbers: [9, 6]
Generated Node #0,0,0: 54:[9, 6] Operation: 49-43=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[9, 6], Operations: ['89-46=43', '49-43=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[46, 89, 49, 9], Operations: []
Exploring Operation: 89-46=43, Resulting Numbers: [49, 9, 43]
Generated Node #0,0: 54:[49, 9, 43] Operation: 89-46=43
Moving to Node #0,0
Current State: 54:[49, 9, 43], Operations: ['89-46=43']
Exploring Operation: 49-43=6, Resulting Numbers: [9, 6]
Generated Node #0,0,0: 54:[9, 6] Operation: 49-43=6
Moving to Node #0,0,0
Current State: 54:[9, 6], Operations: ['89-46=43', '49-43=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
84,
98,
46,
93
] | 61 | [
"98-84=14",
"93-46=47",
"14+47=61"
] | Current State: 61:[84, 98, 46, 93], Operations: []
Exploring Operation: 98-84=14, Resulting Numbers: [46, 93, 14]
Generated Node #2: [46, 93, 14] from Operation: 98-84=14
Current State: 61:[46, 93, 14], Operations: ['98-84=14']
Exploring Operation: 93-46=47, Resulting Numbers: [14, 47]
Generated Node #3: [14, 47] from Operation: 93-46=47
Current State: 61:[14, 47], Operations: ['98-84=14', '93-46=47']
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[84, 98, 46, 93], Operations: []
Exploring Operation: 98-46=52, Resulting Numbers: [84, 93, 52]
Generated Node #0,0: 61:[84, 93, 52] Operation: 98-46=52
Exploring Operation: 93-46=47, Resulting Numbers: [84, 98, 47]
Generated Node #0,1: 61:[84, 98, 47] Operation: 93-46=47
Exploring Operation: 84-46=38, Resulting Numbers: [98, 93, 38]
Generated Node #0,2: 61:[98, 93, 38] Operation: 84-46=38
Moving to Node #0,0
Current State: 61:[84, 93, 52], Operations: ['98-46=52']
Exploring Operation: 93-52=41, Resulting Numbers: [84, 41]
Generated Node #0,0,0: 61:[84, 41] Operation: 93-52=41
Exploring Operation: 93-84=9, Resulting Numbers: [52, 9]
Generated Node #0,0,1: 61:[52, 9] Operation: 93-84=9
Exploring Operation: 84-52=32, Resulting Numbers: [93, 32]
Generated Node #0,0,2: 61:[93, 32] Operation: 84-52=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[84, 41], Operations: ['98-46=52', '93-52=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,61 unequal: No Solution
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[52, 9], Operations: ['98-46=52', '93-84=9']
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[84, 98, 46, 93], Operations: []
Exploring Operation: 98-46=52, Resulting Numbers: [84, 93, 52]
Generated Node #0,0: 61:[84, 93, 52] Operation: 98-46=52
Moving to Node #0,0
Current State: 61:[84, 93, 52], Operations: ['98-46=52']
Exploring Operation: 93-84=9, Resulting Numbers: [52, 9]
Generated Node #0,0,1: 61:[52, 9] Operation: 93-84=9
Moving to Node #0,0,1
Current State: 61:[52, 9], Operations: ['98-46=52', '93-84=9']
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
50,
80,
57,
24
] | 42 | [
"50*24=1200",
"1200/80=15",
"57-15=42"
] | Current State: 42:[50, 80, 57, 24], Operations: []
Exploring Operation: 50*24=1200, Resulting Numbers: [80, 57, 1200]
Generated Node #2: [80, 57, 1200] from Operation: 50*24=1200
Current State: 42:[80, 57, 1200], Operations: ['50*24=1200']
Exploring Operation: 1200/80=15, Resulting Numbers: [57, 15]
Generated Node #3: [57, 15] from Operation: 1200/80=15
Current State: 42:[57, 15], Operations: ['50*24=1200', '1200/80=15']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[50, 80, 57, 24], Operations: []
Exploring Operation: 80-50=30, Resulting Numbers: [57, 24, 30]
Generated Node #0,0: 42:[57, 24, 30] Operation: 80-50=30
Exploring Operation: 80-57=23, Resulting Numbers: [50, 24, 23]
Generated Node #0,1: 42:[50, 24, 23] Operation: 80-57=23
Exploring Operation: 80-24=56, Resulting Numbers: [50, 57, 56]
Generated Node #0,2: 42:[50, 57, 56] Operation: 80-24=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[50, 24, 23], Operations: ['80-57=23']
Exploring Operation: 50-24=26, Resulting Numbers: [23, 26]
Generated Node #0,1,0: 42:[23, 26] Operation: 50-24=26
Exploring Operation: 50-23=27, Resulting Numbers: [24, 27]
Generated Node #0,1,1: 42:[24, 27] Operation: 50-23=27
Exploring Operation: 24-23=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 42:[50, 1] Operation: 24-23=1
Moving to Node #0,1,0
Current State: 42:[23, 26], Operations: ['80-57=23', '50-24=26']
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,42 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[24, 27], Operations: ['80-57=23', '50-23=27']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,42 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[50, 1], Operations: ['80-57=23', '24-23=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,42 unequal: No Solution
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[57, 24, 30], Operations: ['80-50=30']
Exploring Operation: 30-24=6, Resulting Numbers: [57, 6]
Generated Node #0,0,0: 42:[57, 6] Operation: 30-24=6
Exploring Operation: 57-30=27, Resulting Numbers: [24, 27]
Generated Node #0,0,1: 42:[24, 27] Operation: 57-30=27
Exploring Operation: 57-24=33, Resulting Numbers: [30, 33]
Generated Node #0,0,2: 42:[30, 33] Operation: 57-24=33
Moving to Node #0,0,1
Current State: 42:[24, 27], Operations: ['80-50=30', '57-30=27']
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,42 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[57, 6], Operations: ['80-50=30', '30-24=6']
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,42 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[30, 33], Operations: ['80-50=30', '57-24=33']
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,42 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[50, 57, 56], Operations: ['80-24=56']
Exploring Operation: 57-56=1, Resulting Numbers: [50, 1]
Generated Node #0,2,0: 42:[50, 1] Operation: 57-56=1
Exploring Operation: 56-50=6, Resulting Numbers: [57, 6]
Generated Node #0,2,1: 42:[57, 6] Operation: 56-50=6
Exploring Operation: 57-50=7, Resulting Numbers: [56, 7]
Generated Node #0,2,2: 42:[56, 7] Operation: 57-50=7
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 42:[50, 1], Operations: ['80-24=56', '57-56=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 42:[56, 7], Operations: ['80-24=56', '57-50=7']
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,42 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 42:[57, 6], Operations: ['80-24=56', '56-50=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,42 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,42 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
14,
19,
33,
47
] | 18 | [
"14+33=47",
"47/47=1",
"19-1=18"
] | Current State: 18:[14, 19, 33, 47], Operations: []
Exploring Operation: 14+33=47, Resulting Numbers: [19, 47, 47]
Generated Node #2: [19, 47, 47] from Operation: 14+33=47
Current State: 18:[19, 47, 47], Operations: ['14+33=47']
Exploring Operation: 47/47=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 47/47=1
Current State: 18:[19, 1], Operations: ['14+33=47', '47/47=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[14, 19, 33, 47], Operations: []
Exploring Operation: 47-19=28, Resulting Numbers: [14, 33, 28]
Generated Node #0,0: 18:[14, 33, 28] Operation: 47-19=28
Exploring Operation: 47-33=14, Resulting Numbers: [14, 19, 14]
Generated Node #0,1: 18:[14, 19, 14] Operation: 47-33=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[14, 19, 14], Operations: ['47-33=14']
Exploring Operation: 14-14=0, Resulting Numbers: [19, 0]
Generated Node #0,1,0: 18:[19, 0] Operation: 14-14=0
Exploring Operation: 14/14=1, Resulting Numbers: [19, 1]
Generated Node #0,1,1: 18:[19, 1] Operation: 14/14=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[19, 1], Operations: ['47-33=14', '14/14=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[14, 19, 33, 47], Operations: []
Exploring Operation: 47-33=14, Resulting Numbers: [14, 19, 14]
Generated Node #0,1: 18:[14, 19, 14] Operation: 47-33=14
Moving to Node #0,1
Current State: 18:[14, 19, 14], Operations: ['47-33=14']
Exploring Operation: 14/14=1, Resulting Numbers: [19, 1]
Generated Node #0,1,1: 18:[19, 1] Operation: 14/14=1
Moving to Node #0,1,1
Current State: 18:[19, 1], Operations: ['47-33=14', '14/14=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
12,
1,
56,
55
] | 10 | [
"12-1=11",
"56-55=1",
"11-1=10"
] | Current State: 10:[12, 1, 56, 55], Operations: []
Exploring Operation: 12-1=11, Resulting Numbers: [56, 55, 11]
Generated Node #2: [56, 55, 11] from Operation: 12-1=11
Current State: 10:[56, 55, 11], Operations: ['12-1=11']
Exploring Operation: 56-55=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 56-55=1
Current State: 10:[11, 1], Operations: ['12-1=11', '56-55=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[12, 1, 56, 55], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [12, 1, 1]
Generated Node #0,0: 10:[12, 1, 1] Operation: 56-55=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[12, 1, 1], Operations: ['56-55=1']
Exploring Operation: 12-1=11, Resulting Numbers: [1, 11]
Generated Node #0,0,0: 10:[1, 11] Operation: 12-1=11
Moving to Node #0,0,0
Current State: 10:[1, 11], Operations: ['56-55=1', '12-1=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[12, 1, 56, 55], Operations: []
Exploring Operation: 56-55=1, Resulting Numbers: [12, 1, 1]
Generated Node #0,0: 10:[12, 1, 1] Operation: 56-55=1
Moving to Node #0,0
Current State: 10:[12, 1, 1], Operations: ['56-55=1']
Exploring Operation: 12-1=11, Resulting Numbers: [1, 11]
Generated Node #0,0,0: 10:[1, 11] Operation: 12-1=11
Moving to Node #0,0,0
Current State: 10:[1, 11], Operations: ['56-55=1', '12-1=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
84,
45,
55,
66
] | 28 | [
"84-45=39",
"66-55=11",
"39-11=28"
] | Current State: 28:[84, 45, 55, 66], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [55, 66, 39]
Generated Node #2: [55, 66, 39] from Operation: 84-45=39
Current State: 28:[55, 66, 39], Operations: ['84-45=39']
Exploring Operation: 66-55=11, Resulting Numbers: [39, 11]
Generated Node #3: [39, 11] from Operation: 66-55=11
Current State: 28:[39, 11], Operations: ['84-45=39', '66-55=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[84, 45, 55, 66], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [84, 55, 21]
Generated Node #0,0: 28:[84, 55, 21] Operation: 66-45=21
Exploring Operation: 66-55=11, Resulting Numbers: [84, 45, 11]
Generated Node #0,1: 28:[84, 45, 11] Operation: 66-55=11
Exploring Operation: 84-45=39, Resulting Numbers: [55, 66, 39]
Generated Node #0,2: 28:[55, 66, 39] Operation: 84-45=39
Exploring Operation: 84-55=29, Resulting Numbers: [45, 66, 29]
Generated Node #0,3: 28:[45, 66, 29] Operation: 84-55=29
Exploring Operation: 84-66=18, Resulting Numbers: [45, 55, 18]
Generated Node #0,4: 28:[45, 55, 18] Operation: 84-66=18
Moving to Node #0,4
Current State: 28:[45, 55, 18], Operations: ['84-66=18']
Exploring Operation: 45+18=63, Resulting Numbers: [55, 63]
Generated Node #0,4,0: 28:[55, 63] Operation: 45+18=63
Exploring Operation: 55-18=37, Resulting Numbers: [45, 37]
Generated Node #0,4,1: 28:[45, 37] Operation: 55-18=37
Exploring Operation: 55+18=73, Resulting Numbers: [45, 73]
Generated Node #0,4,2: 28:[45, 73] Operation: 55+18=73
Exploring Operation: 55-45=10, Resulting Numbers: [18, 10]
Generated Node #0,4,3: 28:[18, 10] Operation: 55-45=10
Exploring Operation: 45-18=27, Resulting Numbers: [55, 27]
Generated Node #0,4,4: 28:[55, 27] Operation: 45-18=27
Moving to Node #0,3
Current State: 28:[45, 66, 29], Operations: ['84-55=29']
Exploring Operation: 45+29=74, Resulting Numbers: [66, 74]
Generated Node #0,3,0: 28:[66, 74] Operation: 45+29=74
Exploring Operation: 45+66=111, Resulting Numbers: [29, 111]
Generated Node #0,3,1: 28:[29, 111] Operation: 45+66=111
Exploring Operation: 45-29=16, Resulting Numbers: [66, 16]
Generated Node #0,3,2: 28:[66, 16] Operation: 45-29=16
Exploring Operation: 66-45=21, Resulting Numbers: [29, 21]
Generated Node #0,3,3: 28:[29, 21] Operation: 66-45=21
Exploring Operation: 66-29=37, Resulting Numbers: [45, 37]
Generated Node #0,3,4: 28:[45, 37] Operation: 66-29=37
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 28:[29, 21], Operations: ['84-55=29', '66-45=21']
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,28 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,28 unequal: No Solution
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,28 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 #0,3,4
Current State: 28:[45, 37], Operations: ['84-55=29', '66-29=37']
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 45*37=1665, Resulting Numbers: [1665]
1665,28 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 #0,3,2
Current State: 28:[66, 16], Operations: ['84-55=29', '45-29=16']
Exploring Operation: 66*16=1056, Resulting Numbers: [1056]
1056,28 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,28 unequal: No Solution
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,28 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 #0,3,0
Current State: 28:[66, 74], Operations: ['84-55=29', '45+29=74']
Exploring Operation: 66+74=140, Resulting Numbers: [140]
140,28 unequal: No Solution
Exploring Operation: 74-66=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 66*74=4884, Resulting Numbers: [4884]
4884,28 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 #0,3,1
Current State: 28:[29, 111], Operations: ['84-55=29', '45+66=111']
Exploring Operation: 29+111=140, Resulting Numbers: [140]
140,28 unequal: No Solution
Exploring Operation: 111-29=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 29*111=3219, Resulting Numbers: [3219]
3219,28 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: 28:[84, 45, 11], Operations: ['66-55=11']
Exploring Operation: 84-11=73, Resulting Numbers: [45, 73]
Generated Node #0,1,0: 28:[45, 73] Operation: 84-11=73
Exploring Operation: 45+11=56, Resulting Numbers: [84, 56]
Generated Node #0,1,1: 28:[84, 56] Operation: 45+11=56
Exploring Operation: 84+11=95, Resulting Numbers: [45, 95]
Generated Node #0,1,2: 28:[45, 95] Operation: 84+11=95
Exploring Operation: 84-45=39, Resulting Numbers: [11, 39]
Generated Node #0,1,3: 28:[11, 39] Operation: 84-45=39
Exploring Operation: 45-11=34, Resulting Numbers: [84, 34]
Generated Node #0,1,4: 28:[84, 34] Operation: 45-11=34
Moving to Node #0,2
Current State: 28:[55, 66, 39], Operations: ['84-45=39']
Exploring Operation: 55+66=121, Resulting Numbers: [39, 121]
Generated Node #0,2,0: 28:[39, 121] Operation: 55+66=121
Exploring Operation: 55+39=94, Resulting Numbers: [66, 94]
Generated Node #0,2,1: 28:[66, 94] Operation: 55+39=94
Exploring Operation: 66-55=11, Resulting Numbers: [39, 11]
Generated Node #0,2,2: 28:[39, 11] Operation: 66-55=11
Exploring Operation: 66-39=27, Resulting Numbers: [55, 27]
Generated Node #0,2,3: 28:[55, 27] Operation: 66-39=27
Exploring Operation: 55-39=16, Resulting Numbers: [66, 16]
Generated Node #0,2,4: 28:[66, 16] Operation: 55-39=16
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[39, 11], Operations: ['84-45=39', '66-55=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[84, 45, 55, 66], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [55, 66, 39]
Generated Node #0,2: 28:[55, 66, 39] Operation: 84-45=39
Moving to Node #0,2
Current State: 28:[55, 66, 39], Operations: ['84-45=39']
Exploring Operation: 66-55=11, Resulting Numbers: [39, 11]
Generated Node #0,2,2: 28:[39, 11] Operation: 66-55=11
Moving to Node #0,2,2
Current State: 28:[39, 11], Operations: ['84-45=39', '66-55=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
36,
93,
70,
21
] | 38 | [
"36+93=129",
"70+21=91",
"129-91=38"
] | Current State: 38:[36, 93, 70, 21], Operations: []
Exploring Operation: 36+93=129, Resulting Numbers: [70, 21, 129]
Generated Node #2: [70, 21, 129] from Operation: 36+93=129
Current State: 38:[70, 21, 129], Operations: ['36+93=129']
Exploring Operation: 70+21=91, Resulting Numbers: [129, 91]
Generated Node #3: [129, 91] from Operation: 70+21=91
Current State: 38:[129, 91], Operations: ['36+93=129', '70+21=91']
Exploring Operation: 129-91=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[36, 93, 70, 21], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [36, 21, 23]
Generated Node #0,0: 38:[36, 21, 23] Operation: 93-70=23
Exploring Operation: 93-21=72, Resulting Numbers: [36, 70, 72]
Generated Node #0,1: 38:[36, 70, 72] Operation: 93-21=72
Exploring Operation: 70-36=34, Resulting Numbers: [93, 21, 34]
Generated Node #0,2: 38:[93, 21, 34] Operation: 70-36=34
Exploring Operation: 93-36=57, Resulting Numbers: [70, 21, 57]
Generated Node #0,3: 38:[70, 21, 57] Operation: 93-36=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[36, 21, 23], Operations: ['93-70=23']
Exploring Operation: 36-23=13, Resulting Numbers: [21, 13]
Generated Node #0,0,0: 38:[21, 13] Operation: 36-23=13
Exploring Operation: 21+23=44, Resulting Numbers: [36, 44]
Generated Node #0,0,1: 38:[36, 44] Operation: 21+23=44
Exploring Operation: 23-21=2, Resulting Numbers: [36, 2]
Generated Node #0,0,2: 38:[36, 2] Operation: 23-21=2
Exploring Operation: 36-21=15, Resulting Numbers: [23, 15]
Generated Node #0,0,3: 38:[23, 15] Operation: 36-21=15
Moving to Node #0,0,2
Current State: 38:[36, 2], Operations: ['93-70=23', '23-21=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[36, 93, 70, 21], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [36, 21, 23]
Generated Node #0,0: 38:[36, 21, 23] Operation: 93-70=23
Moving to Node #0,0
Current State: 38:[36, 21, 23], Operations: ['93-70=23']
Exploring Operation: 23-21=2, Resulting Numbers: [36, 2]
Generated Node #0,0,2: 38:[36, 2] Operation: 23-21=2
Moving to Node #0,0,2
Current State: 38:[36, 2], Operations: ['93-70=23', '23-21=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
65,
12,
9,
95
] | 40 | [
"95-65=30",
"12*30=360",
"360/9=40"
] | Current State: 40:[65, 12, 9, 95], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [12, 9, 30]
Generated Node #2: [12, 9, 30] from Operation: 95-65=30
Current State: 40:[12, 9, 30], Operations: ['95-65=30']
Exploring Operation: 12*30=360, Resulting Numbers: [9, 360]
Generated Node #3: [9, 360] from Operation: 12*30=360
Current State: 40:[9, 360], Operations: ['95-65=30', '12*30=360']
Exploring Operation: 360/9=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[65, 12, 9, 95], Operations: []
Exploring Operation: 65-9=56, Resulting Numbers: [12, 95, 56]
Generated Node #0,0: 40:[12, 95, 56] Operation: 65-9=56
Exploring Operation: 65-12=53, Resulting Numbers: [9, 95, 53]
Generated Node #0,1: 40:[9, 95, 53] Operation: 65-12=53
Exploring Operation: 95-65=30, Resulting Numbers: [12, 9, 30]
Generated Node #0,2: 40:[12, 9, 30] Operation: 95-65=30
Exploring Operation: 95-12=83, Resulting Numbers: [65, 9, 83]
Generated Node #0,3: 40:[65, 9, 83] Operation: 95-12=83
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[12, 9, 30], Operations: ['95-65=30']
Exploring Operation: 9+30=39, Resulting Numbers: [12, 39]
Generated Node #0,2,0: 40:[12, 39] Operation: 9+30=39
Exploring Operation: 30-9=21, Resulting Numbers: [12, 21]
Generated Node #0,2,1: 40:[12, 21] Operation: 30-9=21
Exploring Operation: 12+30=42, Resulting Numbers: [9, 42]
Generated Node #0,2,2: 40:[9, 42] Operation: 12+30=42
Exploring Operation: 30-12=18, Resulting Numbers: [9, 18]
Generated Node #0,2,3: 40:[9, 18] Operation: 30-12=18
Moving to Node #0,2,0
Current State: 40:[12, 39], Operations: ['95-65=30', '9+30=39']
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 12*39=468, Resulting Numbers: [468]
468,40 unequal: No Solution
Exploring Operation: 12+39=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[9, 42], Operations: ['95-65=30', '12+30=42']
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,40 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[12, 21], Operations: ['95-65=30', '30-9=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[9, 18], Operations: ['95-65=30', '30-12=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,40 unequal: No Solution
No 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: 40:[9, 95, 53], Operations: ['65-12=53']
Exploring Operation: 53-9=44, Resulting Numbers: [95, 44]
Generated Node #0,1,0: 40:[95, 44] Operation: 53-9=44
Exploring Operation: 9+95=104, Resulting Numbers: [53, 104]
Generated Node #0,1,1: 40:[53, 104] Operation: 9+95=104
Exploring Operation: 95-9=86, Resulting Numbers: [53, 86]
Generated Node #0,1,2: 40:[53, 86] Operation: 95-9=86
Exploring Operation: 95-53=42, Resulting Numbers: [9, 42]
Generated Node #0,1,3: 40:[9, 42] Operation: 95-53=42
Moving to Node #0,1,3
Current State: 40:[9, 42], Operations: ['65-12=53', '95-53=42']
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,40 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Moving to Node #0,1,2
Current State: 40:[53, 86], Operations: ['65-12=53', '95-9=86']
Exploring Operation: 53+86=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 53*86=4558, Resulting Numbers: [4558]
4558,40 unequal: No Solution
Exploring Operation: 86-53=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[95, 44], Operations: ['65-12=53', '53-9=44']
Exploring Operation: 95+44=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 95*44=4180, Resulting Numbers: [4180]
4180,40 unequal: No Solution
Exploring Operation: 95-44=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[53, 104], Operations: ['65-12=53', '9+95=104']
Exploring Operation: 53*104=5512, Resulting Numbers: [5512]
5512,40 unequal: No Solution
Exploring Operation: 53+104=157, Resulting Numbers: [157]
157,40 unequal: No Solution
Exploring Operation: 104-53=51, Resulting Numbers: [51]
51,40 unequal: No Solution
No 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: 40:[65, 9, 83], Operations: ['95-12=83']
Exploring Operation: 83-9=74, Resulting Numbers: [65, 74]
Generated Node #0,3,0: 40:[65, 74] Operation: 83-9=74
Exploring Operation: 65-9=56, Resulting Numbers: [83, 56]
Generated Node #0,3,1: 40:[83, 56] Operation: 65-9=56
Exploring Operation: 83-65=18, Resulting Numbers: [9, 18]
Generated Node #0,3,2: 40:[9, 18] Operation: 83-65=18
Exploring Operation: 65+9=74, Resulting Numbers: [83, 74]
Generated Node #0,3,3: 40:[83, 74] Operation: 65+9=74
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 40:[9, 18], Operations: ['95-12=83', '83-65=18']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,40 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,40 unequal: No Solution
No 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: 40:[65, 74], Operations: ['95-12=83', '83-9=74']
Exploring Operation: 65+74=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 65*74=4810, Resulting Numbers: [4810]
4810,40 unequal: No Solution
No 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: 40:[83, 56], Operations: ['95-12=83', '65-9=56']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 83*56=4648, Resulting Numbers: [4648]
4648,40 unequal: No Solution
Exploring Operation: 83+56=139, Resulting Numbers: [139]
139,40 unequal: No Solution
No 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: 40:[83, 74], Operations: ['95-12=83', '65+9=74']
Exploring Operation: 83+74=157, Resulting Numbers: [157]
157,40 unequal: No Solution
Exploring Operation: 83-74=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 83*74=6142, Resulting Numbers: [6142]
6142,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[12, 95, 56], Operations: ['65-9=56']
Exploring Operation: 95-12=83, Resulting Numbers: [56, 83]
Generated Node #0,0,0: 40:[56, 83] Operation: 95-12=83
Exploring Operation: 95-56=39, Resulting Numbers: [12, 39]
Generated Node #0,0,1: 40:[12, 39] Operation: 95-56=39
Exploring Operation: 12+95=107, Resulting Numbers: [56, 107]
Generated Node #0,0,2: 40:[56, 107] Operation: 12+95=107
Exploring Operation: 56-12=44, Resulting Numbers: [95, 44]
Generated Node #0,0,3: 40:[95, 44] Operation: 56-12=44
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 40:[12, 39], Operations: ['65-9=56', '95-56=39']
Exploring Operation: 12+39=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 12*39=468, Resulting Numbers: [468]
468,40 unequal: No Solution
No 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: 40:[56, 83], Operations: ['65-9=56', '95-12=83']
Exploring Operation: 56+83=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 56*83=4648, Resulting Numbers: [4648]
4648,40 unequal: No Solution
No 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: 40:[95, 44], Operations: ['65-9=56', '56-12=44']
Exploring Operation: 95+44=139, Resulting Numbers: [139]
139,40 unequal: No Solution
Exploring Operation: 95*44=4180, Resulting Numbers: [4180]
4180,40 unequal: No Solution
Exploring Operation: 95-44=51, Resulting Numbers: [51]
51,40 unequal: No Solution
No 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: 40:[56, 107], Operations: ['65-9=56', '12+95=107']
Exploring Operation: 107-56=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Exploring Operation: 56*107=5992, Resulting Numbers: [5992]
5992,40 unequal: No Solution
Exploring Operation: 56+107=163, Resulting Numbers: [163]
163,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
23,
35,
52,
48
] | 88 | [
"35-23=12",
"52+48=100",
"100-12=88"
] | Current State: 88:[23, 35, 52, 48], Operations: []
Exploring Operation: 35-23=12, Resulting Numbers: [52, 48, 12]
Generated Node #2: [52, 48, 12] from Operation: 35-23=12
Current State: 88:[52, 48, 12], Operations: ['35-23=12']
Exploring Operation: 52+48=100, Resulting Numbers: [12, 100]
Generated Node #3: [12, 100] from Operation: 52+48=100
Current State: 88:[12, 100], Operations: ['35-23=12', '52+48=100']
Exploring Operation: 100-12=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[23, 35, 52, 48], Operations: []
Exploring Operation: 35+52=87, Resulting Numbers: [23, 48, 87]
Generated Node #0,0: 88:[23, 48, 87] Operation: 35+52=87
Exploring Operation: 52-35=17, Resulting Numbers: [23, 48, 17]
Generated Node #0,1: 88:[23, 48, 17] Operation: 52-35=17
Exploring Operation: 52-48=4, Resulting Numbers: [23, 35, 4]
Generated Node #0,2: 88:[23, 35, 4] Operation: 52-48=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[23, 48, 87], Operations: ['35+52=87']
Exploring Operation: 87-48=39, Resulting Numbers: [23, 39]
Generated Node #0,0,0: 88:[23, 39] Operation: 87-48=39
Exploring Operation: 48-23=25, Resulting Numbers: [87, 25]
Generated Node #0,0,1: 88:[87, 25] Operation: 48-23=25
Exploring Operation: 23+48=71, Resulting Numbers: [87, 71]
Generated Node #0,0,2: 88:[87, 71] Operation: 23+48=71
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[87, 25], Operations: ['35+52=87', '48-23=25']
Exploring Operation: 87-25=62, Resulting Numbers: [62]
62,88 unequal: No Solution
Exploring Operation: 87*25=2175, Resulting Numbers: [2175]
2175,88 unequal: No Solution
Exploring Operation: 87+25=112, Resulting Numbers: [112]
112,88 unequal: No Solution
No 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: 88:[23, 39], Operations: ['35+52=87', '87-48=39']
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,88 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,88 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,88 unequal: No Solution
No 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: 88:[87, 71], Operations: ['35+52=87', '23+48=71']
Exploring Operation: 87*71=6177, Resulting Numbers: [6177]
6177,88 unequal: No Solution
Exploring Operation: 87-71=16, Resulting Numbers: [16]
16,88 unequal: No Solution
Exploring Operation: 87+71=158, Resulting Numbers: [158]
158,88 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[23, 48, 17], Operations: ['52-35=17']
Exploring Operation: 23+17=40, Resulting Numbers: [48, 40]
Generated Node #0,1,0: 88:[48, 40] Operation: 23+17=40
Exploring Operation: 48-23=25, Resulting Numbers: [17, 25]
Generated Node #0,1,1: 88:[17, 25] Operation: 48-23=25
Exploring Operation: 23-17=6, Resulting Numbers: [48, 6]
Generated Node #0,1,2: 88:[48, 6] Operation: 23-17=6
Moving to Node #0,1,2
Current State: 88:[48, 6], Operations: ['52-35=17', '23-17=6']
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,88 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[48, 40], Operations: ['52-35=17', '23+17=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[23, 35, 52, 48], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [23, 48, 17]
Generated Node #0,1: 88:[23, 48, 17] Operation: 52-35=17
Moving to Node #0,1
Current State: 88:[23, 48, 17], Operations: ['52-35=17']
Exploring Operation: 23+17=40, Resulting Numbers: [48, 40]
Generated Node #0,1,0: 88:[48, 40] Operation: 23+17=40
Moving to Node #0,1,0
Current State: 88:[48, 40], Operations: ['52-35=17', '23+17=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
3,
32,
12,
73
] | 23 | [
"32+73=105",
"105/3=35",
"35-12=23"
] | Current State: 23:[3, 32, 12, 73], Operations: []
Exploring Operation: 32+73=105, Resulting Numbers: [3, 12, 105]
Generated Node #2: [3, 12, 105] from Operation: 32+73=105
Current State: 23:[3, 12, 105], Operations: ['32+73=105']
Exploring Operation: 105/3=35, Resulting Numbers: [12, 35]
Generated Node #3: [12, 35] from Operation: 105/3=35
Current State: 23:[12, 35], Operations: ['32+73=105', '105/3=35']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[3, 32, 12, 73], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [3, 32, 61]
Generated Node #0,0: 23:[3, 32, 61] Operation: 73-12=61
Exploring Operation: 73-3=70, Resulting Numbers: [32, 12, 70]
Generated Node #0,1: 23:[32, 12, 70] Operation: 73-3=70
Exploring Operation: 32-3=29, Resulting Numbers: [12, 73, 29]
Generated Node #0,2: 23:[12, 73, 29] Operation: 32-3=29
Exploring Operation: 3+12=15, Resulting Numbers: [32, 73, 15]
Generated Node #0,3: 23:[32, 73, 15] Operation: 3+12=15
Exploring Operation: 73-32=41, Resulting Numbers: [3, 12, 41]
Generated Node #0,4: 23:[3, 12, 41] Operation: 73-32=41
Moving to Node #0,4
Current State: 23:[3, 12, 41], Operations: ['73-32=41']
Exploring Operation: 3*12=36, Resulting Numbers: [41, 36]
Generated Node #0,4,0: 23:[41, 36] Operation: 3*12=36
Exploring Operation: 41-12=29, Resulting Numbers: [3, 29]
Generated Node #0,4,1: 23:[3, 29] Operation: 41-12=29
Exploring Operation: 41-3=38, Resulting Numbers: [12, 38]
Generated Node #0,4,2: 23:[12, 38] Operation: 41-3=38
Exploring Operation: 12-3=9, Resulting Numbers: [41, 9]
Generated Node #0,4,3: 23:[41, 9] Operation: 12-3=9
Exploring Operation: 3+12=15, Resulting Numbers: [41, 15]
Generated Node #0,4,4: 23:[41, 15] Operation: 3+12=15
Moving to Node #0,1
Current State: 23:[32, 12, 70], Operations: ['73-3=70']
Exploring Operation: 12+70=82, Resulting Numbers: [32, 82]
Generated Node #0,1,0: 23:[32, 82] Operation: 12+70=82
Exploring Operation: 32+12=44, Resulting Numbers: [70, 44]
Generated Node #0,1,1: 23:[70, 44] Operation: 32+12=44
Exploring Operation: 32-12=20, Resulting Numbers: [70, 20]
Generated Node #0,1,2: 23:[70, 20] Operation: 32-12=20
Exploring Operation: 70-12=58, Resulting Numbers: [32, 58]
Generated Node #0,1,3: 23:[32, 58] Operation: 70-12=58
Exploring Operation: 70-32=38, Resulting Numbers: [12, 38]
Generated Node #0,1,4: 23:[12, 38] Operation: 70-32=38
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 23:[12, 38], Operations: ['73-3=70', '70-32=38']
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,23 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,23 unequal: No Solution
No 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: 23:[32, 58], Operations: ['73-3=70', '70-12=58']
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,23 unequal: No Solution
No 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: 23:[70, 20], Operations: ['73-3=70', '32-12=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,23 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,23 unequal: No Solution
No 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: 23:[32, 82], Operations: ['73-3=70', '12+70=82']
Exploring Operation: 32*82=2624, Resulting Numbers: [2624]
2624,23 unequal: No Solution
Exploring Operation: 32+82=114, Resulting Numbers: [114]
114,23 unequal: No Solution
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,23 unequal: No Solution
No 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: 23:[70, 44], Operations: ['73-3=70', '32+12=44']
Exploring Operation: 70*44=3080, Resulting Numbers: [3080]
3080,23 unequal: No Solution
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 70+44=114, Resulting Numbers: [114]
114,23 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: 23:[32, 73, 15], Operations: ['3+12=15']
Exploring Operation: 73+15=88, Resulting Numbers: [32, 88]
Generated Node #0,3,0: 23:[32, 88] Operation: 73+15=88
Exploring Operation: 73-32=41, Resulting Numbers: [15, 41]
Generated Node #0,3,1: 23:[15, 41] Operation: 73-32=41
Exploring Operation: 32+15=47, Resulting Numbers: [73, 47]
Generated Node #0,3,2: 23:[73, 47] Operation: 32+15=47
Exploring Operation: 73-15=58, Resulting Numbers: [32, 58]
Generated Node #0,3,3: 23:[32, 58] Operation: 73-15=58
Exploring Operation: 32-15=17, Resulting Numbers: [73, 17]
Generated Node #0,3,4: 23:[73, 17] Operation: 32-15=17
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[15, 41], Operations: ['3+12=15', '73-32=41']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 15*41=615, Resulting Numbers: [615]
615,23 unequal: No Solution
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,23 unequal: No Solution
No 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: 23:[32, 58], Operations: ['3+12=15', '73-15=58']
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,23 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No 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: 23:[73, 17], Operations: ['3+12=15', '32-15=17']
Exploring Operation: 73*17=1241, Resulting Numbers: [1241]
1241,23 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 73+17=90, Resulting Numbers: [90]
90,23 unequal: No Solution
No 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: 23:[32, 88], Operations: ['3+12=15', '73+15=88']
Exploring Operation: 88-32=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 32*88=2816, Resulting Numbers: [2816]
2816,23 unequal: No Solution
Exploring Operation: 32+88=120, Resulting Numbers: [120]
120,23 unequal: No Solution
No 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: 23:[73, 47], Operations: ['3+12=15', '32+15=47']
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 73*47=3431, Resulting Numbers: [3431]
3431,23 unequal: No Solution
Exploring Operation: 73+47=120, Resulting Numbers: [120]
120,23 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: 23:[3, 32, 61], Operations: ['73-12=61']
Exploring Operation: 32-3=29, Resulting Numbers: [61, 29]
Generated Node #0,0,0: 23:[61, 29] Operation: 32-3=29
Exploring Operation: 61-3=58, Resulting Numbers: [32, 58]
Generated Node #0,0,1: 23:[32, 58] Operation: 61-3=58
Exploring Operation: 61-32=29, Resulting Numbers: [3, 29]
Generated Node #0,0,2: 23:[3, 29] Operation: 61-32=29
Exploring Operation: 3+32=35, Resulting Numbers: [61, 35]
Generated Node #0,0,3: 23:[61, 35] Operation: 3+32=35
Exploring Operation: 3+61=64, Resulting Numbers: [32, 64]
Generated Node #0,0,4: 23:[32, 64] Operation: 3+61=64
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[3, 29], Operations: ['73-12=61', '61-32=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,23 unequal: No Solution
No 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: 23:[61, 29], Operations: ['73-12=61', '32-3=29']
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 61+29=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 61*29=1769, Resulting Numbers: [1769]
1769,23 unequal: No Solution
No 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: 23:[32, 58], Operations: ['73-12=61', '61-3=58']
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 32*58=1856, Resulting Numbers: [1856]
1856,23 unequal: No Solution
No 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: 23:[61, 35], Operations: ['73-12=61', '3+32=35']
Exploring Operation: 61*35=2135, Resulting Numbers: [2135]
2135,23 unequal: No Solution
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,23 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No 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: 23:[32, 64], Operations: ['73-12=61', '3+61=64']
Exploring Operation: 64/32=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 32+64=96, Resulting Numbers: [96]
96,23 unequal: No Solution
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 32*64=2048, Resulting Numbers: [2048]
2048,23 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: 23:[12, 73, 29], Operations: ['32-3=29']
Exploring Operation: 12+29=41, Resulting Numbers: [73, 41]
Generated Node #0,2,0: 23:[73, 41] Operation: 12+29=41
Exploring Operation: 29-12=17, Resulting Numbers: [73, 17]
Generated Node #0,2,1: 23:[73, 17] Operation: 29-12=17
Exploring Operation: 73-29=44, Resulting Numbers: [12, 44]
Generated Node #0,2,2: 23:[12, 44] Operation: 73-29=44
Exploring Operation: 12+73=85, Resulting Numbers: [29, 85]
Generated Node #0,2,3: 23:[29, 85] Operation: 12+73=85
Exploring Operation: 73-12=61, Resulting Numbers: [29, 61]
Generated Node #0,2,4: 23:[29, 61] Operation: 73-12=61
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[12, 44], Operations: ['32-3=29', '73-29=44']
Exploring Operation: 12*44=528, Resulting Numbers: [528]
528,23 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 12+44=56, Resulting Numbers: [56]
56,23 unequal: No Solution
No 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: 23:[29, 61], Operations: ['32-3=29', '73-12=61']
Exploring Operation: 29*61=1769, Resulting Numbers: [1769]
1769,23 unequal: No Solution
Exploring Operation: 29+61=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,23 unequal: No Solution
No 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: 23:[73, 17], Operations: ['32-3=29', '29-12=17']
Exploring Operation: 73*17=1241, Resulting Numbers: [1241]
1241,23 unequal: No Solution
Exploring Operation: 73+17=90, Resulting Numbers: [90]
90,23 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,23 unequal: No Solution
No 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: 23:[73, 41], Operations: ['32-3=29', '12+29=41']
Exploring Operation: 73+41=114, Resulting Numbers: [114]
114,23 unequal: No Solution
Exploring Operation: 73*41=2993, Resulting Numbers: [2993]
2993,23 unequal: No Solution
Exploring Operation: 73-41=32, Resulting Numbers: [32]
32,23 unequal: No Solution
No 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: 23:[29, 85], Operations: ['32-3=29', '12+73=85']
Exploring Operation: 29+85=114, Resulting Numbers: [114]
114,23 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 29*85=2465, Resulting Numbers: [2465]
2465,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 23:[3, 29], Operations: ['73-32=41', '41-12=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,23 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Moving to Node #0,4,4
Current State: 23:[41, 15], Operations: ['73-32=41', '3+12=15']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,23 unequal: No Solution
Moving to Node #0,4,2
Current State: 23:[12, 38], Operations: ['73-32=41', '41-3=38']
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,23 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Moving to Node #0,4,0
Current State: 23:[41, 36], Operations: ['73-32=41', '3*12=36']
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,23 unequal: No Solution
Exploring Operation: 41*36=1476, Resulting Numbers: [1476]
1476,23 unequal: No Solution
Moving to Node #0,4,3
Current State: 23:[41, 9], Operations: ['73-32=41', '12-3=9']
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,23 unequal: No Solution
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,23 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
47,
81,
73,
58
] | 49 | [
"81-47=34",
"73-58=15",
"34+15=49"
] | Current State: 49:[47, 81, 73, 58], Operations: []
Exploring Operation: 81-47=34, Resulting Numbers: [73, 58, 34]
Generated Node #2: [73, 58, 34] from Operation: 81-47=34
Current State: 49:[73, 58, 34], Operations: ['81-47=34']
Exploring Operation: 73-58=15, Resulting Numbers: [34, 15]
Generated Node #3: [34, 15] from Operation: 73-58=15
Current State: 49:[34, 15], Operations: ['81-47=34', '73-58=15']
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[47, 81, 73, 58], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [47, 81, 15]
Generated Node #0,0: 49:[47, 81, 15] Operation: 73-58=15
Exploring Operation: 81-73=8, Resulting Numbers: [47, 58, 8]
Generated Node #0,1: 49:[47, 58, 8] Operation: 81-73=8
Exploring Operation: 81-58=23, Resulting Numbers: [47, 73, 23]
Generated Node #0,2: 49:[47, 73, 23] Operation: 81-58=23
Moving to Node #0,1
Current State: 49:[47, 58, 8], Operations: ['81-73=8']
Exploring Operation: 58-8=50, Resulting Numbers: [47, 50]
Generated Node #0,1,0: 49:[47, 50] Operation: 58-8=50
Exploring Operation: 47+8=55, Resulting Numbers: [58, 55]
Generated Node #0,1,1: 49:[58, 55] Operation: 47+8=55
Exploring Operation: 58-47=11, Resulting Numbers: [8, 11]
Generated Node #0,1,2: 49:[8, 11] Operation: 58-47=11
Moving to Node #0,0
Current State: 49:[47, 81, 15], Operations: ['73-58=15']
Exploring Operation: 81-15=66, Resulting Numbers: [47, 66]
Generated Node #0,0,0: 49:[47, 66] Operation: 81-15=66
Exploring Operation: 81-47=34, Resulting Numbers: [15, 34]
Generated Node #0,0,1: 49:[15, 34] Operation: 81-47=34
Exploring Operation: 47+15=62, Resulting Numbers: [81, 62]
Generated Node #0,0,2: 49:[81, 62] Operation: 47+15=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[47, 66], Operations: ['73-58=15', '81-15=66']
Exploring Operation: 47*66=3102, Resulting Numbers: [3102]
3102,49 unequal: No Solution
Exploring Operation: 47+66=113, Resulting Numbers: [113]
113,49 unequal: No Solution
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[15, 34], Operations: ['73-58=15', '81-47=34']
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,49 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[47, 81, 73, 58], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [47, 81, 15]
Generated Node #0,0: 49:[47, 81, 15] Operation: 73-58=15
Moving to Node #0,0
Current State: 49:[47, 81, 15], Operations: ['73-58=15']
Exploring Operation: 81-47=34, Resulting Numbers: [15, 34]
Generated Node #0,0,1: 49:[15, 34] Operation: 81-47=34
Moving to Node #0,0,1
Current State: 49:[15, 34], Operations: ['73-58=15', '81-47=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
17,
6,
19,
95
] | 53 | [
"17+6=23",
"95-19=76",
"76-23=53"
] | Current State: 53:[17, 6, 19, 95], Operations: []
Exploring Operation: 17+6=23, Resulting Numbers: [19, 95, 23]
Generated Node #2: [19, 95, 23] from Operation: 17+6=23
Current State: 53:[19, 95, 23], Operations: ['17+6=23']
Exploring Operation: 95-19=76, Resulting Numbers: [23, 76]
Generated Node #3: [23, 76] from Operation: 95-19=76
Current State: 53:[23, 76], Operations: ['17+6=23', '95-19=76']
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[17, 6, 19, 95], Operations: []
Exploring Operation: 95-17=78, Resulting Numbers: [6, 19, 78]
Generated Node #0,0: 53:[6, 19, 78] Operation: 95-17=78
Exploring Operation: 17+19=36, Resulting Numbers: [6, 95, 36]
Generated Node #0,1: 53:[6, 95, 36] Operation: 17+19=36
Exploring Operation: 17+6=23, Resulting Numbers: [19, 95, 23]
Generated Node #0,2: 53:[19, 95, 23] Operation: 17+6=23
Moving to Node #0,0
Current State: 53:[6, 19, 78], Operations: ['95-17=78']
Exploring Operation: 78-6=72, Resulting Numbers: [19, 72]
Generated Node #0,0,0: 53:[19, 72] Operation: 78-6=72
Exploring Operation: 78-19=59, Resulting Numbers: [6, 59]
Generated Node #0,0,1: 53:[6, 59] Operation: 78-19=59
Exploring Operation: 6+19=25, Resulting Numbers: [78, 25]
Generated Node #0,0,2: 53:[78, 25] Operation: 6+19=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[19, 72], Operations: ['95-17=78', '78-6=72']
Exploring Operation: 19*72=1368, Resulting Numbers: [1368]
1368,53 unequal: No Solution
Exploring Operation: 19+72=91, Resulting Numbers: [91]
91,53 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[17, 6, 19, 95], Operations: []
Exploring Operation: 95-17=78, Resulting Numbers: [6, 19, 78]
Generated Node #0,0: 53:[6, 19, 78] Operation: 95-17=78
Moving to Node #0,0
Current State: 53:[6, 19, 78], Operations: ['95-17=78']
Exploring Operation: 78-6=72, Resulting Numbers: [19, 72]
Generated Node #0,0,0: 53:[19, 72] Operation: 78-6=72
Moving to Node #0,0,0
Current State: 53:[19, 72], Operations: ['95-17=78', '78-6=72']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
92,
70,
63,
93
] | 52 | [
"92-70=22",
"93-63=30",
"22+30=52"
] | Current State: 52:[92, 70, 63, 93], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [63, 93, 22]
Generated Node #2: [63, 93, 22] from Operation: 92-70=22
Current State: 52:[63, 93, 22], Operations: ['92-70=22']
Exploring Operation: 93-63=30, Resulting Numbers: [22, 30]
Generated Node #3: [22, 30] from Operation: 93-63=30
Current State: 52:[22, 30], Operations: ['92-70=22', '93-63=30']
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[92, 70, 63, 93], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [63, 93, 22]
Generated Node #0,0: 52:[63, 93, 22] Operation: 92-70=22
Exploring Operation: 93-70=23, Resulting Numbers: [92, 63, 23]
Generated Node #0,1: 52:[92, 63, 23] Operation: 93-70=23
Exploring Operation: 92-63=29, Resulting Numbers: [70, 93, 29]
Generated Node #0,2: 52:[70, 93, 29] Operation: 92-63=29
Exploring Operation: 93-63=30, Resulting Numbers: [92, 70, 30]
Generated Node #0,3: 52:[92, 70, 30] Operation: 93-63=30
Exploring Operation: 93-92=1, Resulting Numbers: [70, 63, 1]
Generated Node #0,4: 52:[70, 63, 1] Operation: 93-92=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 52:[70, 63, 1], Operations: ['93-92=1']
Exploring Operation: 63-1=62, Resulting Numbers: [70, 62]
Generated Node #0,4,0: 52:[70, 62] Operation: 63-1=62
Exploring Operation: 70/1=70, Resulting Numbers: [63, 70]
Generated Node #0,4,1: 52:[63, 70] Operation: 70/1=70
Exploring Operation: 70*1=70, Resulting Numbers: [63, 70]
Generated Node #0,4,2: 52:[63, 70] Operation: 70*1=70
Exploring Operation: 70-63=7, Resulting Numbers: [1, 7]
Generated Node #0,4,3: 52:[1, 7] Operation: 70-63=7
Exploring Operation: 70-1=69, Resulting Numbers: [63, 69]
Generated Node #0,4,4: 52:[63, 69] Operation: 70-1=69
Moving to Node #0,4,3
Current State: 52:[1, 7], Operations: ['93-92=1', '70-63=7']
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[63, 69], Operations: ['93-92=1', '70-1=69']
Exploring Operation: 63+69=132, Resulting Numbers: [132]
132,52 unequal: No Solution
Exploring Operation: 69-63=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 63*69=4347, Resulting Numbers: [4347]
4347,52 unequal: No Solution
Moving to Node #0,4,0
Current State: 52:[70, 62], Operations: ['93-92=1', '63-1=62']
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 70*62=4340, Resulting Numbers: [4340]
4340,52 unequal: No Solution
Exploring Operation: 70+62=132, Resulting Numbers: [132]
132,52 unequal: No Solution
Moving to Node #0,4,1
Current State: 52:[63, 70], Operations: ['93-92=1', '70/1=70']
Exploring Operation: 63*70=4410, Resulting Numbers: [4410]
4410,52 unequal: No Solution
Exploring Operation: 63+70=133, Resulting Numbers: [133]
133,52 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Moving to Node #0,4,2
Current State: 52:[63, 70], Operations: ['93-92=1', '70*1=70']
Exploring Operation: 63*70=4410, Resulting Numbers: [4410]
4410,52 unequal: No Solution
Exploring Operation: 63+70=133, Resulting Numbers: [133]
133,52 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,52 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:[92, 63, 23], Operations: ['93-70=23']
Exploring Operation: 92/23=4, Resulting Numbers: [63, 4]
Generated Node #0,1,0: 52:[63, 4] Operation: 92/23=4
Exploring Operation: 92-63=29, Resulting Numbers: [23, 29]
Generated Node #0,1,1: 52:[23, 29] Operation: 92-63=29
Exploring Operation: 92-23=69, Resulting Numbers: [63, 69]
Generated Node #0,1,2: 52:[63, 69] Operation: 92-23=69
Exploring Operation: 92+23=115, Resulting Numbers: [63, 115]
Generated Node #0,1,3: 52:[63, 115] Operation: 92+23=115
Exploring Operation: 63-23=40, Resulting Numbers: [92, 40]
Generated Node #0,1,4: 52:[92, 40] Operation: 63-23=40
Moving to Node #0,1,1
Current State: 52:[23, 29], Operations: ['93-70=23', '92-63=29']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,52 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[92, 70, 63, 93], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [92, 63, 23]
Generated Node #0,1: 52:[92, 63, 23] Operation: 93-70=23
Moving to Node #0,1
Current State: 52:[92, 63, 23], Operations: ['93-70=23']
Exploring Operation: 92-63=29, Resulting Numbers: [23, 29]
Generated Node #0,1,1: 52:[23, 29] Operation: 92-63=29
Moving to Node #0,1,1
Current State: 52:[23, 29], Operations: ['93-70=23', '92-63=29']
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
34,
78,
80,
72
] | 89 | [
"80-78=2",
"34/2=17",
"72+17=89"
] | Current State: 89:[34, 78, 80, 72], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [34, 72, 2]
Generated Node #2: [34, 72, 2] from Operation: 80-78=2
Current State: 89:[34, 72, 2], Operations: ['80-78=2']
Exploring Operation: 34/2=17, Resulting Numbers: [72, 17]
Generated Node #3: [72, 17] from Operation: 34/2=17
Current State: 89:[72, 17], Operations: ['80-78=2', '34/2=17']
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[34, 78, 80, 72], Operations: []
Exploring Operation: 34+72=106, Resulting Numbers: [78, 80, 106]
Generated Node #0,0: 89:[78, 80, 106] Operation: 34+72=106
Exploring Operation: 34+80=114, Resulting Numbers: [78, 72, 114]
Generated Node #0,1: 89:[78, 72, 114] Operation: 34+80=114
Exploring Operation: 78-34=44, Resulting Numbers: [80, 72, 44]
Generated Node #0,2: 89:[80, 72, 44] Operation: 78-34=44
Exploring Operation: 80-34=46, Resulting Numbers: [78, 72, 46]
Generated Node #0,3: 89:[78, 72, 46] Operation: 80-34=46
Exploring Operation: 34+78=112, Resulting Numbers: [80, 72, 112]
Generated Node #0,4: 89:[80, 72, 112] Operation: 34+78=112
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[78, 80, 106], Operations: ['34+72=106']
Exploring Operation: 80-78=2, Resulting Numbers: [106, 2]
Generated Node #0,0,0: 89:[106, 2] Operation: 80-78=2
Exploring Operation: 78+80=158, Resulting Numbers: [106, 158]
Generated Node #0,0,1: 89:[106, 158] Operation: 78+80=158
Exploring Operation: 106-80=26, Resulting Numbers: [78, 26]
Generated Node #0,0,2: 89:[78, 26] Operation: 106-80=26
Exploring Operation: 78+106=184, Resulting Numbers: [80, 184]
Generated Node #0,0,3: 89:[80, 184] Operation: 78+106=184
Exploring Operation: 106-78=28, Resulting Numbers: [80, 28]
Generated Node #0,0,4: 89:[80, 28] Operation: 106-78=28
Moving to Node #0,0,4
Current State: 89:[80, 28], Operations: ['34+72=106', '106-78=28']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 80*28=2240, Resulting Numbers: [2240]
2240,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[78, 26], Operations: ['34+72=106', '106-80=26']
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,89 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[106, 158], Operations: ['34+72=106', '78+80=158']
Exploring Operation: 106*158=16748, Resulting Numbers: [16748]
16748,89 unequal: No Solution
Exploring Operation: 158-106=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Exploring Operation: 106+158=264, Resulting Numbers: [264]
264,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[106, 2], Operations: ['34+72=106', '80-78=2']
Exploring Operation: 106+2=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 106/2=53, Resulting Numbers: [53]
53,89 unequal: No Solution
Exploring Operation: 106-2=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 106*2=212, Resulting Numbers: [212]
212,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[80, 184], Operations: ['34+72=106', '78+106=184']
Exploring Operation: 80+184=264, Resulting Numbers: [264]
264,89 unequal: No Solution
Exploring Operation: 184-80=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 80*184=14720, Resulting Numbers: [14720]
14720,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 89:[80, 72, 112], Operations: ['34+78=112']
Exploring Operation: 80+72=152, Resulting Numbers: [112, 152]
Generated Node #0,4,0: 89:[112, 152] Operation: 80+72=152
Exploring Operation: 112-80=32, Resulting Numbers: [72, 32]
Generated Node #0,4,1: 89:[72, 32] Operation: 112-80=32
Exploring Operation: 112-72=40, Resulting Numbers: [80, 40]
Generated Node #0,4,2: 89:[80, 40] Operation: 112-72=40
Exploring Operation: 72+112=184, Resulting Numbers: [80, 184]
Generated Node #0,4,3: 89:[80, 184] Operation: 72+112=184
Exploring Operation: 80-72=8, Resulting Numbers: [112, 8]
Generated Node #0,4,4: 89:[112, 8] Operation: 80-72=8
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 89:[80, 40], Operations: ['34+78=112', '112-72=40']
Exploring Operation: 80+40=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Exploring Operation: 80*40=3200, Resulting Numbers: [3200]
3200,89 unequal: No Solution
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 89:[72, 32], Operations: ['34+78=112', '112-80=32']
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,89 unequal: No Solution
Exploring Operation: 72*32=2304, Resulting Numbers: [2304]
2304,89 unequal: No Solution
Exploring Operation: 72+32=104, Resulting Numbers: [104]
104,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 89:[112, 152], Operations: ['34+78=112', '80+72=152']
Exploring Operation: 112+152=264, Resulting Numbers: [264]
264,89 unequal: No Solution
Exploring Operation: 112*152=17024, Resulting Numbers: [17024]
17024,89 unequal: No Solution
Exploring Operation: 152-112=40, Resulting Numbers: [40]
40,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 89:[80, 184], Operations: ['34+78=112', '72+112=184']
Exploring Operation: 80+184=264, Resulting Numbers: [264]
264,89 unequal: No Solution
Exploring Operation: 184-80=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 80*184=14720, Resulting Numbers: [14720]
14720,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 89:[112, 8], Operations: ['34+78=112', '80-72=8']
Exploring Operation: 112*8=896, Resulting Numbers: [896]
896,89 unequal: No Solution
Exploring Operation: 112/8=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Exploring Operation: 112-8=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 112+8=120, Resulting Numbers: [120]
120,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[78, 72, 114], Operations: ['34+80=114']
Exploring Operation: 72+114=186, Resulting Numbers: [78, 186]
Generated Node #0,1,0: 89:[78, 186] Operation: 72+114=186
Exploring Operation: 114-78=36, Resulting Numbers: [72, 36]
Generated Node #0,1,1: 89:[72, 36] Operation: 114-78=36
Exploring Operation: 78-72=6, Resulting Numbers: [114, 6]
Generated Node #0,1,2: 89:[114, 6] Operation: 78-72=6
Exploring Operation: 114-72=42, Resulting Numbers: [78, 42]
Generated Node #0,1,3: 89:[78, 42] Operation: 114-72=42
Exploring Operation: 78+72=150, Resulting Numbers: [114, 150]
Generated Node #0,1,4: 89:[114, 150] Operation: 78+72=150
Moving to Node #0,1,3
Current State: 89:[78, 42], Operations: ['34+80=114', '114-72=42']
Exploring Operation: 78*42=3276, Resulting Numbers: [3276]
3276,89 unequal: No Solution
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,89 unequal: No Solution
Exploring Operation: 78+42=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[72, 36], Operations: ['34+80=114', '114-78=36']
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,89 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,89 unequal: No Solution
Moving to Node #0,1,4
Current State: 89:[114, 150], Operations: ['34+80=114', '78+72=150']
Exploring Operation: 114*150=17100, Resulting Numbers: [17100]
17100,89 unequal: No Solution
Exploring Operation: 114+150=264, Resulting Numbers: [264]
264,89 unequal: No Solution
Exploring Operation: 150-114=36, Resulting Numbers: [36]
36,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[78, 186], Operations: ['34+80=114', '72+114=186']
Exploring Operation: 78*186=14508, Resulting Numbers: [14508]
14508,89 unequal: No Solution
Exploring Operation: 186-78=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 78+186=264, Resulting Numbers: [264]
264,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[114, 6], Operations: ['34+80=114', '78-72=6']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,89 unequal: No Solution
Exploring Operation: 114+6=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Exploring Operation: 114*6=684, Resulting Numbers: [684]
684,89 unequal: No Solution
Exploring Operation: 114-6=108, Resulting Numbers: [108]
108,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[80, 72, 44], Operations: ['78-34=44']
Exploring Operation: 72-44=28, Resulting Numbers: [80, 28]
Generated Node #0,2,0: 89:[80, 28] Operation: 72-44=28
Exploring Operation: 80+72=152, Resulting Numbers: [44, 152]
Generated Node #0,2,1: 89:[44, 152] Operation: 80+72=152
Exploring Operation: 80+44=124, Resulting Numbers: [72, 124]
Generated Node #0,2,2: 89:[72, 124] Operation: 80+44=124
Exploring Operation: 72+44=116, Resulting Numbers: [80, 116]
Generated Node #0,2,3: 89:[80, 116] Operation: 72+44=116
Exploring Operation: 80-44=36, Resulting Numbers: [72, 36]
Generated Node #0,2,4: 89:[72, 36] Operation: 80-44=36
Moving to Node #0,2,3
Current State: 89:[80, 116], Operations: ['78-34=44', '72+44=116']
Exploring Operation: 80*116=9280, Resulting Numbers: [9280]
9280,89 unequal: No Solution
Exploring Operation: 80+116=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 116-80=36, Resulting Numbers: [36]
36,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[72, 124], Operations: ['78-34=44', '80+44=124']
Exploring Operation: 124-72=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Exploring Operation: 72+124=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 72*124=8928, Resulting Numbers: [8928]
8928,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[80, 28], Operations: ['78-34=44', '72-44=28']
Exploring Operation: 80*28=2240, Resulting Numbers: [2240]
2240,89 unequal: No Solution
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Moving to Node #0,2,4
Current State: 89:[72, 36], Operations: ['78-34=44', '80-44=36']
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,89 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,89 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[44, 152], Operations: ['78-34=44', '80+72=152']
Exploring Operation: 44+152=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 152-44=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 44*152=6688, Resulting Numbers: [6688]
6688,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[78, 72, 46], Operations: ['80-34=46']
Exploring Operation: 72+46=118, Resulting Numbers: [78, 118]
Generated Node #0,3,0: 89:[78, 118] Operation: 72+46=118
Exploring Operation: 72-46=26, Resulting Numbers: [78, 26]
Generated Node #0,3,1: 89:[78, 26] Operation: 72-46=26
Exploring Operation: 78-46=32, Resulting Numbers: [72, 32]
Generated Node #0,3,2: 89:[72, 32] Operation: 78-46=32
Exploring Operation: 78+72=150, Resulting Numbers: [46, 150]
Generated Node #0,3,3: 89:[46, 150] Operation: 78+72=150
Exploring Operation: 78+46=124, Resulting Numbers: [72, 124]
Generated Node #0,3,4: 89:[72, 124] Operation: 78+46=124
Moving to Node #0,3,0
Current State: 89:[78, 118], Operations: ['80-34=46', '72+46=118']
Exploring Operation: 78*118=9204, Resulting Numbers: [9204]
9204,89 unequal: No Solution
Exploring Operation: 78+118=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 118-78=40, Resulting Numbers: [40]
40,89 unequal: No Solution
Moving to Node #0,3,4
Current State: 89:[72, 124], Operations: ['80-34=46', '78+46=124']
Exploring Operation: 72+124=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 124-72=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Exploring Operation: 72*124=8928, Resulting Numbers: [8928]
8928,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[78, 26], Operations: ['80-34=46', '72-46=26']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Exploring Operation: 78*26=2028, Resulting Numbers: [2028]
2028,89 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 78+26=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[72, 32], Operations: ['80-34=46', '78-46=32']
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,89 unequal: No Solution
Exploring Operation: 72*32=2304, Resulting Numbers: [2304]
2304,89 unequal: No Solution
Exploring Operation: 72+32=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[46, 150], Operations: ['80-34=46', '78+72=150']
Exploring Operation: 46+150=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 46*150=6900, Resulting Numbers: [6900]
6900,89 unequal: No Solution
Exploring Operation: 150-46=104, Resulting Numbers: [104]
104,89 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 |
[
21,
63,
78,
36
] | 90 | [
"63/21=3",
"36/3=12",
"78+12=90"
] | Current State: 90:[21, 63, 78, 36], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [78, 36, 3]
Generated Node #2: [78, 36, 3] from Operation: 63/21=3
Current State: 90:[78, 36, 3], Operations: ['63/21=3']
Exploring Operation: 36/3=12, Resulting Numbers: [78, 12]
Generated Node #3: [78, 12] from Operation: 36/3=12
Current State: 90:[78, 12], Operations: ['63/21=3', '36/3=12']
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[21, 63, 78, 36], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [21, 78, 27]
Generated Node #0,0: 90:[21, 78, 27] Operation: 63-36=27
Exploring Operation: 78-63=15, Resulting Numbers: [21, 36, 15]
Generated Node #0,1: 90:[21, 36, 15] Operation: 78-63=15
Exploring Operation: 63-21=42, Resulting Numbers: [78, 36, 42]
Generated Node #0,2: 90:[78, 36, 42] Operation: 63-21=42
Exploring Operation: 21+63=84, Resulting Numbers: [78, 36, 84]
Generated Node #0,3: 90:[78, 36, 84] Operation: 21+63=84
Exploring Operation: 63/21=3, Resulting Numbers: [78, 36, 3]
Generated Node #0,4: 90:[78, 36, 3] Operation: 63/21=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[21, 36, 15], Operations: ['78-63=15']
Exploring Operation: 36-21=15, Resulting Numbers: [15, 15]
Generated Node #0,1,0: 90:[15, 15] Operation: 36-21=15
Exploring Operation: 21+36=57, Resulting Numbers: [15, 57]
Generated Node #0,1,1: 90:[15, 57] Operation: 21+36=57
Exploring Operation: 36-15=21, Resulting Numbers: [21, 21]
Generated Node #0,1,2: 90:[21, 21] Operation: 36-15=21
Exploring Operation: 36+15=51, Resulting Numbers: [21, 51]
Generated Node #0,1,3: 90:[21, 51] Operation: 36+15=51
Exploring Operation: 21-15=6, Resulting Numbers: [36, 6]
Generated Node #0,1,4: 90:[36, 6] Operation: 21-15=6
Moving to Node #0,1,0
Current State: 90:[15, 15], Operations: ['78-63=15', '36-21=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,90 unequal: No Solution
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Moving to Node #0,1,4
Current State: 90:[36, 6], Operations: ['78-63=15', '21-15=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,90 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[21, 21], Operations: ['78-63=15', '36-15=21']
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[21, 51], Operations: ['78-63=15', '36+15=51']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,90 unequal: No Solution
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[15, 57], Operations: ['78-63=15', '21+36=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 15*57=855, Resulting Numbers: [855]
855,90 unequal: No Solution
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[21, 78, 27], Operations: ['63-36=27']
Exploring Operation: 21+27=48, Resulting Numbers: [78, 48]
Generated Node #0,0,0: 90:[78, 48] Operation: 21+27=48
Exploring Operation: 21+78=99, Resulting Numbers: [27, 99]
Generated Node #0,0,1: 90:[27, 99] Operation: 21+78=99
Exploring Operation: 78-27=51, Resulting Numbers: [21, 51]
Generated Node #0,0,2: 90:[21, 51] Operation: 78-27=51
Exploring Operation: 27-21=6, Resulting Numbers: [78, 6]
Generated Node #0,0,3: 90:[78, 6] Operation: 27-21=6
Exploring Operation: 78-21=57, Resulting Numbers: [27, 57]
Generated Node #0,0,4: 90:[27, 57] Operation: 78-21=57
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 90:[21, 51], Operations: ['63-36=27', '78-27=51']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[27, 99], Operations: ['63-36=27', '21+78=99']
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,90 unequal: No Solution
Exploring Operation: 27+99=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Exploring Operation: 27*99=2673, Resulting Numbers: [2673]
2673,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 90:[78, 6], Operations: ['63-36=27', '27-21=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,90 unequal: No Solution
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,90 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,90 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:[78, 48], Operations: ['63-36=27', '21+27=48']
Exploring Operation: 78+48=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 78*48=3744, Resulting Numbers: [3744]
3744,90 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 #0,0,4
Current State: 90:[27, 57], Operations: ['63-36=27', '78-21=57']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,90 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 90:[78, 36, 3], Operations: ['63/21=3']
Exploring Operation: 78-36=42, Resulting Numbers: [3, 42]
Generated Node #0,4,0: 90:[3, 42] Operation: 78-36=42
Exploring Operation: 78/3=26, Resulting Numbers: [36, 26]
Generated Node #0,4,1: 90:[36, 26] Operation: 78/3=26
Exploring Operation: 78+3=81, Resulting Numbers: [36, 81]
Generated Node #0,4,2: 90:[36, 81] Operation: 78+3=81
Exploring Operation: 36-3=33, Resulting Numbers: [78, 33]
Generated Node #0,4,3: 90:[78, 33] Operation: 36-3=33
Exploring Operation: 36/3=12, Resulting Numbers: [78, 12]
Generated Node #0,4,4: 90:[78, 12] Operation: 36/3=12
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 90:[3, 42], Operations: ['63/21=3', '78-36=42']
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 90:[36, 26], Operations: ['63/21=3', '78/3=26']
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,90 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 90:[78, 12], Operations: ['63/21=3', '36/3=12']
Exploring Operation: 78*12=936, Resulting Numbers: [936]
936,90 unequal: No Solution
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[21, 63, 78, 36], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [78, 36, 3]
Generated Node #0,4: 90:[78, 36, 3] Operation: 63/21=3
Moving to Node #0,4
Current State: 90:[78, 36, 3], Operations: ['63/21=3']
Exploring Operation: 36/3=12, Resulting Numbers: [78, 12]
Generated Node #0,4,4: 90:[78, 12] Operation: 36/3=12
Moving to Node #0,4,4
Current State: 90:[78, 12], Operations: ['63/21=3', '36/3=12']
Exploring Operation: 78+12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.94184 | hs_5 | sum_heuristic |
[
13,
85,
26,
52
] | 34 | [
"13+52=65",
"85*26=2210",
"2210/65=34"
] | Current State: 34:[13, 85, 26, 52], Operations: []
Exploring Operation: 13+52=65, Resulting Numbers: [85, 26, 65]
Generated Node #2: [85, 26, 65] from Operation: 13+52=65
Current State: 34:[85, 26, 65], Operations: ['13+52=65']
Exploring Operation: 85*26=2210, Resulting Numbers: [65, 2210]
Generated Node #3: [65, 2210] from Operation: 85*26=2210
Current State: 34:[65, 2210], Operations: ['13+52=65', '85*26=2210']
Exploring Operation: 2210/65=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[13, 85, 26, 52], Operations: []
Exploring Operation: 85-52=33, Resulting Numbers: [13, 26, 33]
Generated Node #0,0: 34:[13, 26, 33] Operation: 85-52=33
Moving to Node #0,0
Current State: 34:[13, 26, 33], Operations: ['85-52=33']
Exploring Operation: 26/13=2, Resulting Numbers: [33, 2]
Generated Node #0,0,0: 34:[33, 2] Operation: 26/13=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[33, 2], Operations: ['85-52=33', '26/13=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,34 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 |
[
25,
3,
48,
69
] | 88 | [
"69-48=21",
"3*21=63",
"25+63=88"
] | Current State: 88:[25, 3, 48, 69], Operations: []
Exploring Operation: 69-48=21, Resulting Numbers: [25, 3, 21]
Generated Node #2: [25, 3, 21] from Operation: 69-48=21
Current State: 88:[25, 3, 21], Operations: ['69-48=21']
Exploring Operation: 3*21=63, Resulting Numbers: [25, 63]
Generated Node #3: [25, 63] from Operation: 3*21=63
Current State: 88:[25, 63], Operations: ['69-48=21', '3*21=63']
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[25, 3, 48, 69], Operations: []
Exploring Operation: 69-25=44, Resulting Numbers: [3, 48, 44]
Generated Node #0,0: 88:[3, 48, 44] Operation: 69-25=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[3, 48, 44], Operations: ['69-25=44']
Exploring Operation: 48-3=45, Resulting Numbers: [44, 45]
Generated Node #0,0,0: 88:[44, 45] Operation: 48-3=45
Moving to Node #0,0,0
Current State: 88:[44, 45], Operations: ['69-25=44', '48-3=45']
Exploring Operation: 44+45=89, Resulting Numbers: [89]
89,88 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 |
[
72,
3,
7,
90
] | 59 | [
"72/3=24",
"90-7=83",
"83-24=59"
] | Current State: 59:[72, 3, 7, 90], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [7, 90, 24]
Generated Node #2: [7, 90, 24] from Operation: 72/3=24
Current State: 59:[7, 90, 24], Operations: ['72/3=24']
Exploring Operation: 90-7=83, Resulting Numbers: [24, 83]
Generated Node #3: [24, 83] from Operation: 90-7=83
Current State: 59:[24, 83], Operations: ['72/3=24', '90-7=83']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[72, 3, 7, 90], Operations: []
Exploring Operation: 72-3=69, Resulting Numbers: [7, 90, 69]
Generated Node #0,0: 59:[7, 90, 69] Operation: 72-3=69
Exploring Operation: 3*7=21, Resulting Numbers: [72, 90, 21]
Generated Node #0,1: 59:[72, 90, 21] Operation: 3*7=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[72, 90, 21], Operations: ['3*7=21']
Exploring Operation: 72-21=51, Resulting Numbers: [90, 51]
Generated Node #0,1,0: 59:[90, 51] Operation: 72-21=51
Exploring Operation: 90-21=69, Resulting Numbers: [72, 69]
Generated Node #0,1,1: 59:[72, 69] Operation: 90-21=69
Moving to Node #0,1,1
Current State: 59:[72, 69], Operations: ['3*7=21', '90-21=69']
Exploring Operation: 72-69=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 72+69=141, Resulting Numbers: [141]
141,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[90, 51], Operations: ['3*7=21', '72-21=51']
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,59 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[7, 90, 69], Operations: ['72-3=69']
Exploring Operation: 69-7=62, Resulting Numbers: [90, 62]
Generated Node #0,0,0: 59:[90, 62] Operation: 69-7=62
Exploring Operation: 90-7=83, Resulting Numbers: [69, 83]
Generated Node #0,0,1: 59:[69, 83] Operation: 90-7=83
Moving to Node #0,0,0
Current State: 59:[90, 62], Operations: ['72-3=69', '69-7=62']
Exploring Operation: 90+62=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[69, 83], Operations: ['72-3=69', '90-7=83']
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 69+83=152, Resulting Numbers: [152]
152,59 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 |
[
19,
26,
33,
30
] | 32 | [
"19+33=52",
"52/26=2",
"30+2=32"
] | Current State: 32:[19, 26, 33, 30], Operations: []
Exploring Operation: 19+33=52, Resulting Numbers: [26, 30, 52]
Generated Node #2: [26, 30, 52] from Operation: 19+33=52
Current State: 32:[26, 30, 52], Operations: ['19+33=52']
Exploring Operation: 52/26=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 52/26=2
Current State: 32:[30, 2], Operations: ['19+33=52', '52/26=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[19, 26, 33, 30], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [33, 30, 7]
Generated Node #0,0: 32:[33, 30, 7] Operation: 26-19=7
Exploring Operation: 33-26=7, Resulting Numbers: [19, 30, 7]
Generated Node #0,1: 32:[19, 30, 7] Operation: 33-26=7
Exploring Operation: 30-26=4, Resulting Numbers: [19, 33, 4]
Generated Node #0,2: 32:[19, 33, 4] Operation: 30-26=4
Exploring Operation: 33-19=14, Resulting Numbers: [26, 30, 14]
Generated Node #0,3: 32:[26, 30, 14] Operation: 33-19=14
Moving to Node #0,0
Current State: 32:[33, 30, 7], Operations: ['26-19=7']
Exploring Operation: 33-30=3, Resulting Numbers: [7, 3]
Generated Node #0,0,0: 32:[7, 3] Operation: 33-30=3
Exploring Operation: 30+7=37, Resulting Numbers: [33, 37]
Generated Node #0,0,1: 32:[33, 37] Operation: 30+7=37
Exploring Operation: 33-7=26, Resulting Numbers: [30, 26]
Generated Node #0,0,2: 32:[30, 26] Operation: 33-7=26
Exploring Operation: 30-7=23, Resulting Numbers: [33, 23]
Generated Node #0,0,3: 32:[33, 23] Operation: 30-7=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[7, 3], Operations: ['26-19=7', '33-30=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[33, 37], Operations: ['26-19=7', '30+7=37']
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[30, 26], Operations: ['26-19=7', '33-7=26']
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,32 unequal: No Solution
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 32:[33, 23], Operations: ['26-19=7', '30-7=23']
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 33*23=759, Resulting Numbers: [759]
759,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 32:[19, 33, 4], Operations: ['30-26=4']
Exploring Operation: 19-4=15, Resulting Numbers: [33, 15]
Generated Node #0,2,0: 32:[33, 15] Operation: 19-4=15
Exploring Operation: 33-19=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 32:[4, 14] Operation: 33-19=14
Exploring Operation: 19+4=23, Resulting Numbers: [33, 23]
Generated Node #0,2,2: 32:[33, 23] Operation: 19+4=23
Exploring Operation: 33-4=29, Resulting Numbers: [19, 29]
Generated Node #0,2,3: 32:[19, 29] Operation: 33-4=29
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[33, 15], Operations: ['30-26=4', '19-4=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,32 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 32:[4, 14], Operations: ['30-26=4', '33-19=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 32:[19, 29], Operations: ['30-26=4', '33-4=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,32 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 32:[33, 23], Operations: ['30-26=4', '19+4=23']
Exploring Operation: 33*23=759, Resulting Numbers: [759]
759,32 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,32 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: 32:[19, 30, 7], Operations: ['33-26=7']
Exploring Operation: 30+7=37, Resulting Numbers: [19, 37]
Generated Node #0,1,0: 32:[19, 37] Operation: 30+7=37
Exploring Operation: 30-19=11, Resulting Numbers: [7, 11]
Generated Node #0,1,1: 32:[7, 11] Operation: 30-19=11
Exploring Operation: 19+7=26, Resulting Numbers: [30, 26]
Generated Node #0,1,2: 32:[30, 26] Operation: 19+7=26
Exploring Operation: 19-7=12, Resulting Numbers: [30, 12]
Generated Node #0,1,3: 32:[30, 12] Operation: 19-7=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[7, 11], Operations: ['33-26=7', '30-19=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,32 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,32 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 #0,1,3
Current State: 32:[30, 12], Operations: ['33-26=7', '19-7=12']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,32 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,32 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 #0,1,0
Current State: 32:[19, 37], Operations: ['33-26=7', '30+7=37']
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 19*37=703, Resulting Numbers: [703]
703,32 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 #0,1,2
Current State: 32:[30, 26], Operations: ['33-26=7', '19+7=26']
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,32 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: 32:[26, 30, 14], Operations: ['33-19=14']
Exploring Operation: 30-26=4, Resulting Numbers: [14, 4]
Generated Node #0,3,0: 32:[14, 4] Operation: 30-26=4
Exploring Operation: 26+14=40, Resulting Numbers: [30, 40]
Generated Node #0,3,1: 32:[30, 40] Operation: 26+14=40
Exploring Operation: 26-14=12, Resulting Numbers: [30, 12]
Generated Node #0,3,2: 32:[30, 12] Operation: 26-14=12
Exploring Operation: 30-14=16, Resulting Numbers: [26, 16]
Generated Node #0,3,3: 32:[26, 16] Operation: 30-14=16
Moving to Node #0,3,0
Current State: 32:[14, 4], Operations: ['33-19=14', '30-26=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Moving to Node #0,3,3
Current State: 32:[26, 16], Operations: ['33-19=14', '30-14=16']
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,32 unequal: No Solution
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Moving to Node #0,3,2
Current State: 32:[30, 12], Operations: ['33-19=14', '26-14=12']
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,32 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Moving to Node #0,3,1
Current State: 32:[30, 40], Operations: ['33-19=14', '26+14=40']
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,32 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,32 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
66,
52,
47,
46
] | 79 | [
"66-52=14",
"47+46=93",
"93-14=79"
] | Current State: 79:[66, 52, 47, 46], Operations: []
Exploring Operation: 66-52=14, Resulting Numbers: [47, 46, 14]
Generated Node #2: [47, 46, 14] from Operation: 66-52=14
Current State: 79:[47, 46, 14], Operations: ['66-52=14']
Exploring Operation: 47+46=93, Resulting Numbers: [14, 93]
Generated Node #3: [14, 93] from Operation: 47+46=93
Current State: 79:[14, 93], Operations: ['66-52=14', '47+46=93']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[66, 52, 47, 46], Operations: []
Exploring Operation: 47+46=93, Resulting Numbers: [66, 52, 93]
Generated Node #0,0: 79:[66, 52, 93] Operation: 47+46=93
Exploring Operation: 66+46=112, Resulting Numbers: [52, 47, 112]
Generated Node #0,1: 79:[52, 47, 112] Operation: 66+46=112
Exploring Operation: 52+46=98, Resulting Numbers: [66, 47, 98]
Generated Node #0,2: 79:[66, 47, 98] Operation: 52+46=98
Exploring Operation: 52+47=99, Resulting Numbers: [66, 46, 99]
Generated Node #0,3: 79:[66, 46, 99] Operation: 52+47=99
Moving to Node #0,0
Current State: 79:[66, 52, 93], Operations: ['47+46=93']
Exploring Operation: 66+52=118, Resulting Numbers: [93, 118]
Generated Node #0,0,0: 79:[93, 118] Operation: 66+52=118
Exploring Operation: 93-52=41, Resulting Numbers: [66, 41]
Generated Node #0,0,1: 79:[66, 41] Operation: 93-52=41
Exploring Operation: 66-52=14, Resulting Numbers: [93, 14]
Generated Node #0,0,2: 79:[93, 14] Operation: 66-52=14
Exploring Operation: 93-66=27, Resulting Numbers: [52, 27]
Generated Node #0,0,3: 79:[52, 27] Operation: 93-66=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[66, 41], Operations: ['47+46=93', '93-52=41']
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,79 unequal: No Solution
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,79 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 #0,0,0
Current State: 79:[93, 118], Operations: ['47+46=93', '66+52=118']
Exploring Operation: 93+118=211, Resulting Numbers: [211]
211,79 unequal: No Solution
Exploring Operation: 118-93=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 93*118=10974, Resulting Numbers: [10974]
10974,79 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 #0,0,2
Current State: 79:[93, 14], Operations: ['47+46=93', '66-52=14']
Exploring Operation: 93+14=107, Resulting Numbers: [107]
107,79 unequal: No Solution
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[66, 52, 47, 46], Operations: []
Exploring Operation: 47+46=93, Resulting Numbers: [66, 52, 93]
Generated Node #0,0: 79:[66, 52, 93] Operation: 47+46=93
Moving to Node #0,0
Current State: 79:[66, 52, 93], Operations: ['47+46=93']
Exploring Operation: 66-52=14, Resulting Numbers: [93, 14]
Generated Node #0,0,2: 79:[93, 14] Operation: 66-52=14
Moving to Node #0,0,2
Current State: 79:[93, 14], Operations: ['47+46=93', '66-52=14']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
92,
74,
39,
29
] | 86 | [
"92-74=18",
"39+29=68",
"18+68=86"
] | Current State: 86:[92, 74, 39, 29], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [39, 29, 18]
Generated Node #2: [39, 29, 18] from Operation: 92-74=18
Current State: 86:[39, 29, 18], Operations: ['92-74=18']
Exploring Operation: 39+29=68, Resulting Numbers: [18, 68]
Generated Node #3: [18, 68] from Operation: 39+29=68
Current State: 86:[18, 68], Operations: ['92-74=18', '39+29=68']
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[92, 74, 39, 29], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [92, 74, 10]
Generated Node #0,0: 86:[92, 74, 10] Operation: 39-29=10
Exploring Operation: 74-29=45, Resulting Numbers: [92, 39, 45]
Generated Node #0,1: 86:[92, 39, 45] Operation: 74-29=45
Exploring Operation: 74-39=35, Resulting Numbers: [92, 29, 35]
Generated Node #0,2: 86:[92, 29, 35] Operation: 74-39=35
Exploring Operation: 92-74=18, Resulting Numbers: [39, 29, 18]
Generated Node #0,3: 86:[39, 29, 18] Operation: 92-74=18
Exploring Operation: 74+29=103, Resulting Numbers: [92, 39, 103]
Generated Node #0,4: 86:[92, 39, 103] Operation: 74+29=103
Moving to Node #0,1
Current State: 86:[92, 39, 45], Operations: ['74-29=45']
Exploring Operation: 45-39=6, Resulting Numbers: [92, 6]
Generated Node #0,1,0: 86:[92, 6] Operation: 45-39=6
Exploring Operation: 92+39=131, Resulting Numbers: [45, 131]
Generated Node #0,1,1: 86:[45, 131] Operation: 92+39=131
Exploring Operation: 39+45=84, Resulting Numbers: [92, 84]
Generated Node #0,1,2: 86:[92, 84] Operation: 39+45=84
Exploring Operation: 92-45=47, Resulting Numbers: [39, 47]
Generated Node #0,1,3: 86:[39, 47] Operation: 92-45=47
Exploring Operation: 92-39=53, Resulting Numbers: [45, 53]
Generated Node #0,1,4: 86:[45, 53] Operation: 92-39=53
Moving to Node #0,0
Current State: 86:[92, 74, 10], Operations: ['39-29=10']
Exploring Operation: 74+10=84, Resulting Numbers: [92, 84]
Generated Node #0,0,0: 86:[92, 84] Operation: 74+10=84
Exploring Operation: 92-74=18, Resulting Numbers: [10, 18]
Generated Node #0,0,1: 86:[10, 18] Operation: 92-74=18
Exploring Operation: 92+10=102, Resulting Numbers: [74, 102]
Generated Node #0,0,2: 86:[74, 102] Operation: 92+10=102
Exploring Operation: 74-10=64, Resulting Numbers: [92, 64]
Generated Node #0,0,3: 86:[92, 64] Operation: 74-10=64
Exploring Operation: 92-10=82, Resulting Numbers: [74, 82]
Generated Node #0,0,4: 86:[74, 82] Operation: 92-10=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[92, 84], Operations: ['39-29=10', '74+10=84']
Exploring Operation: 92*84=7728, Resulting Numbers: [7728]
7728,86 unequal: No Solution
Exploring Operation: 92+84=176, Resulting Numbers: [176]
176,86 unequal: No Solution
Exploring Operation: 92-84=8, Resulting Numbers: [8]
8,86 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 #0,0,4
Current State: 86:[74, 82], Operations: ['39-29=10', '92-10=82']
Exploring Operation: 74+82=156, Resulting Numbers: [156]
156,86 unequal: No Solution
Exploring Operation: 74*82=6068, Resulting Numbers: [6068]
6068,86 unequal: No Solution
Exploring Operation: 82-74=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[10, 18], Operations: ['39-29=10', '92-74=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,86 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 #0,0,3
Current State: 86:[92, 64], Operations: ['39-29=10', '74-10=64']
Exploring Operation: 92+64=156, Resulting Numbers: [156]
156,86 unequal: No Solution
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 92*64=5888, Resulting Numbers: [5888]
5888,86 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:[74, 102], Operations: ['39-29=10', '92+10=102']
Exploring Operation: 102-74=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 74*102=7548, Resulting Numbers: [7548]
7548,86 unequal: No Solution
Exploring Operation: 74+102=176, Resulting Numbers: [176]
176,86 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: 86:[92, 39, 103], Operations: ['74+29=103']
Exploring Operation: 103-39=64, Resulting Numbers: [92, 64]
Generated Node #0,4,0: 86:[92, 64] Operation: 103-39=64
Exploring Operation: 92+39=131, Resulting Numbers: [103, 131]
Generated Node #0,4,1: 86:[103, 131] Operation: 92+39=131
Exploring Operation: 103-92=11, Resulting Numbers: [39, 11]
Generated Node #0,4,2: 86:[39, 11] Operation: 103-92=11
Exploring Operation: 39+103=142, Resulting Numbers: [92, 142]
Generated Node #0,4,3: 86:[92, 142] Operation: 39+103=142
Exploring Operation: 92-39=53, Resulting Numbers: [103, 53]
Generated Node #0,4,4: 86:[103, 53] Operation: 92-39=53
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 86:[39, 11], Operations: ['74+29=103', '103-92=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,86 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,86 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 #0,4,0
Current State: 86:[92, 64], Operations: ['74+29=103', '103-39=64']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 92*64=5888, Resulting Numbers: [5888]
5888,86 unequal: No Solution
Exploring Operation: 92+64=156, Resulting Numbers: [156]
156,86 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 #0,4,4
Current State: 86:[103, 53], Operations: ['74+29=103', '92-39=53']
Exploring Operation: 103-53=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 103*53=5459, Resulting Numbers: [5459]
5459,86 unequal: No Solution
Exploring Operation: 103+53=156, Resulting Numbers: [156]
156,86 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 #0,4,1
Current State: 86:[103, 131], Operations: ['74+29=103', '92+39=131']
Exploring Operation: 131-103=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 103*131=13493, Resulting Numbers: [13493]
13493,86 unequal: No Solution
Exploring Operation: 103+131=234, Resulting Numbers: [234]
234,86 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 #0,4,3
Current State: 86:[92, 142], Operations: ['74+29=103', '39+103=142']
Exploring Operation: 142-92=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 92+142=234, Resulting Numbers: [234]
234,86 unequal: No Solution
Exploring Operation: 92*142=13064, Resulting Numbers: [13064]
13064,86 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:[92, 29, 35], Operations: ['74-39=35']
Exploring Operation: 92+29=121, Resulting Numbers: [35, 121]
Generated Node #0,2,0: 86:[35, 121] Operation: 92+29=121
Exploring Operation: 29+35=64, Resulting Numbers: [92, 64]
Generated Node #0,2,1: 86:[92, 64] Operation: 29+35=64
Exploring Operation: 35-29=6, Resulting Numbers: [92, 6]
Generated Node #0,2,2: 86:[92, 6] Operation: 35-29=6
Exploring Operation: 92-35=57, Resulting Numbers: [29, 57]
Generated Node #0,2,3: 86:[29, 57] Operation: 92-35=57
Exploring Operation: 92-29=63, Resulting Numbers: [35, 63]
Generated Node #0,2,4: 86:[35, 63] Operation: 92-29=63
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[92, 6], Operations: ['74-39=35', '35-29=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[92, 74, 39, 29], Operations: []
Exploring Operation: 74-39=35, Resulting Numbers: [92, 29, 35]
Generated Node #0,2: 86:[92, 29, 35] Operation: 74-39=35
Moving to Node #0,2
Current State: 86:[92, 29, 35], Operations: ['74-39=35']
Exploring Operation: 35-29=6, Resulting Numbers: [92, 6]
Generated Node #0,2,2: 86:[92, 6] Operation: 35-29=6
Moving to Node #0,2,2
Current State: 86:[92, 6], Operations: ['74-39=35', '35-29=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.947917 | hs_5 | sum_heuristic |
[
30,
36,
42,
56
] | 28 | [
"30+42=72",
"36*56=2016",
"2016/72=28"
] | Current State: 28:[30, 36, 42, 56], Operations: []
Exploring Operation: 30+42=72, Resulting Numbers: [36, 56, 72]
Generated Node #2: [36, 56, 72] from Operation: 30+42=72
Current State: 28:[36, 56, 72], Operations: ['30+42=72']
Exploring Operation: 36*56=2016, Resulting Numbers: [72, 2016]
Generated Node #3: [72, 2016] from Operation: 36*56=2016
Current State: 28:[72, 2016], Operations: ['30+42=72', '36*56=2016']
Exploring Operation: 2016/72=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[30, 36, 42, 56], Operations: []
Exploring Operation: 56-36=20, Resulting Numbers: [30, 42, 20]
Generated Node #0,0: 28:[30, 42, 20] Operation: 56-36=20
Exploring Operation: 42-36=6, Resulting Numbers: [30, 56, 6]
Generated Node #0,1: 28:[30, 56, 6] Operation: 42-36=6
Exploring Operation: 56-42=14, Resulting Numbers: [30, 36, 14]
Generated Node #0,2: 28:[30, 36, 14] Operation: 56-42=14
Exploring Operation: 56-30=26, Resulting Numbers: [36, 42, 26]
Generated Node #0,3: 28:[36, 42, 26] Operation: 56-30=26
Moving to Node #0,2
Current State: 28:[30, 36, 14], Operations: ['56-42=14']
Exploring Operation: 36-14=22, Resulting Numbers: [30, 22]
Generated Node #0,2,0: 28:[30, 22] Operation: 36-14=22
Exploring Operation: 30-14=16, Resulting Numbers: [36, 16]
Generated Node #0,2,1: 28:[36, 16] Operation: 30-14=16
Exploring Operation: 30+14=44, Resulting Numbers: [36, 44]
Generated Node #0,2,2: 28:[36, 44] Operation: 30+14=44
Exploring Operation: 36-30=6, Resulting Numbers: [14, 6]
Generated Node #0,2,3: 28:[14, 6] Operation: 36-30=6
Moving to Node #0,0
Current State: 28:[30, 42, 20], Operations: ['56-36=20']
Exploring Operation: 42-20=22, Resulting Numbers: [30, 22]
Generated Node #0,0,0: 28:[30, 22] Operation: 42-20=22
Exploring Operation: 42-30=12, Resulting Numbers: [20, 12]
Generated Node #0,0,1: 28:[20, 12] Operation: 42-30=12
Exploring Operation: 30+20=50, Resulting Numbers: [42, 50]
Generated Node #0,0,2: 28:[42, 50] Operation: 30+20=50
Exploring Operation: 30-20=10, Resulting Numbers: [42, 10]
Generated Node #0,0,3: 28:[42, 10] Operation: 30-20=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[30, 22], Operations: ['56-36=20', '42-20=22']
Exploring Operation: 30*22=660, Resulting Numbers: [660]
660,28 unequal: No Solution
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,28 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 #0,0,1
Current State: 28:[20, 12], Operations: ['56-36=20', '42-30=12']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,28 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 #0,0,3
Current State: 28:[42, 10], Operations: ['56-36=20', '30-20=10']
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 42*10=420, Resulting Numbers: [420]
420,28 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 #0,0,2
Current State: 28:[42, 50], Operations: ['56-36=20', '30+20=50']
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 42+50=92, Resulting Numbers: [92]
92,28 unequal: No Solution
Exploring Operation: 42*50=2100, Resulting Numbers: [2100]
2100,28 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: 28:[36, 42, 26], Operations: ['56-30=26']
Exploring Operation: 36+26=62, Resulting Numbers: [42, 62]
Generated Node #0,3,0: 28:[42, 62] Operation: 36+26=62
Exploring Operation: 42-36=6, Resulting Numbers: [26, 6]
Generated Node #0,3,1: 28:[26, 6] Operation: 42-36=6
Exploring Operation: 36-26=10, Resulting Numbers: [42, 10]
Generated Node #0,3,2: 28:[42, 10] Operation: 36-26=10
Exploring Operation: 42-26=16, Resulting Numbers: [36, 16]
Generated Node #0,3,3: 28:[36, 16] Operation: 42-26=16
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 28:[26, 6], Operations: ['56-30=26', '42-36=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,28 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,28 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 #0,3,3
Current State: 28:[36, 16], Operations: ['56-30=26', '42-26=16']
Exploring Operation: 36*16=576, Resulting Numbers: [576]
576,28 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,28 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 #0,3,2
Current State: 28:[42, 10], Operations: ['56-30=26', '36-26=10']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 42*10=420, Resulting Numbers: [420]
420,28 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 #0,3,0
Current State: 28:[42, 62], Operations: ['56-30=26', '36+26=62']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 42*62=2604, Resulting Numbers: [2604]
2604,28 unequal: No Solution
Exploring Operation: 42+62=104, Resulting Numbers: [104]
104,28 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: 28:[30, 56, 6], Operations: ['42-36=6']
Exploring Operation: 30-6=24, Resulting Numbers: [56, 24]
Generated Node #0,1,0: 28:[56, 24] Operation: 30-6=24
Exploring Operation: 56-30=26, Resulting Numbers: [6, 26]
Generated Node #0,1,1: 28:[6, 26] Operation: 56-30=26
Exploring Operation: 30/6=5, Resulting Numbers: [56, 5]
Generated Node #0,1,2: 28:[56, 5] Operation: 30/6=5
Exploring Operation: 56-6=50, Resulting Numbers: [30, 50]
Generated Node #0,1,3: 28:[30, 50] Operation: 56-6=50
Moving to Node #0,2,3
Current State: 28:[14, 6], Operations: ['56-42=14', '36-30=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[6, 26], Operations: ['42-36=6', '56-30=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,28 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[30, 22], Operations: ['56-42=14', '36-14=22']
Exploring Operation: 30*22=660, Resulting Numbers: [660]
660,28 unequal: No Solution
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[36, 16], Operations: ['56-42=14', '30-14=16']
Exploring Operation: 36*16=576, Resulting Numbers: [576]
576,28 unequal: No Solution
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Moving to Node #0,1,3
Current State: 28:[30, 50], Operations: ['42-36=6', '56-6=50']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,28 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[36, 44], Operations: ['56-42=14', '30+14=44']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[56, 5], Operations: ['42-36=6', '30/6=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,28 unequal: No Solution
Exploring Operation: 56*5=280, Resulting Numbers: [280]
280,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[56, 24], Operations: ['42-36=6', '30-6=24']
Exploring Operation: 56+24=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Exploring Operation: 56*24=1344, Resulting Numbers: [1344]
1344,28 unequal: No Solution
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,28 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
46,
75,
57,
57
] | 69 | [
"57*57=3249",
"3249-75=3174",
"3174/46=69"
] | Current State: 69:[46, 75, 57, 57], Operations: []
Exploring Operation: 57*57=3249, Resulting Numbers: [46, 75, 3249]
Generated Node #2: [46, 75, 3249] from Operation: 57*57=3249
Current State: 69:[46, 75, 3249], Operations: ['57*57=3249']
Exploring Operation: 3249-75=3174, Resulting Numbers: [46, 3174]
Generated Node #3: [46, 3174] from Operation: 3249-75=3174
Current State: 69:[46, 3174], Operations: ['57*57=3249', '3249-75=3174']
Exploring Operation: 3174/46=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[46, 75, 57, 57], Operations: []
Exploring Operation: 57/57=1, Resulting Numbers: [46, 75, 1]
Generated Node #0,0: 69:[46, 75, 1] Operation: 57/57=1
Exploring Operation: 57-57=0, Resulting Numbers: [46, 75, 0]
Generated Node #0,1: 69:[46, 75, 0] Operation: 57-57=0
Exploring Operation: 57-46=11, Resulting Numbers: [75, 57, 11]
Generated Node #0,2: 69:[75, 57, 11] Operation: 57-46=11
Exploring Operation: 75-46=29, Resulting Numbers: [57, 57, 29]
Generated Node #0,3: 69:[57, 57, 29] Operation: 75-46=29
Exploring Operation: 57-46=11, Resulting Numbers: [75, 57, 11]
Generated Node #0,4: 69:[75, 57, 11] Operation: 57-46=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[75, 57, 11], Operations: ['57-46=11']
Exploring Operation: 75-57=18, Resulting Numbers: [11, 18]
Generated Node #0,2,0: 69:[11, 18] Operation: 75-57=18
Exploring Operation: 57-11=46, Resulting Numbers: [75, 46]
Generated Node #0,2,1: 69:[75, 46] Operation: 57-11=46
Exploring Operation: 75-11=64, Resulting Numbers: [57, 64]
Generated Node #0,2,2: 69:[57, 64] Operation: 75-11=64
Exploring Operation: 75+11=86, Resulting Numbers: [57, 86]
Generated Node #0,2,3: 69:[57, 86] Operation: 75+11=86
Exploring Operation: 57+11=68, Resulting Numbers: [75, 68]
Generated Node #0,2,4: 69:[75, 68] Operation: 57+11=68
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 69:[75, 68], Operations: ['57-46=11', '57+11=68']
Exploring Operation: 75-68=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 75+68=143, Resulting Numbers: [143]
143,69 unequal: No Solution
Exploring Operation: 75*68=5100, Resulting Numbers: [5100]
5100,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[11, 18], Operations: ['57-46=11', '75-57=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,69 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[57, 64], Operations: ['57-46=11', '75-11=64']
Exploring Operation: 57*64=3648, Resulting Numbers: [3648]
3648,69 unequal: No Solution
Exploring Operation: 57+64=121, Resulting Numbers: [121]
121,69 unequal: No Solution
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[75, 46], Operations: ['57-46=11', '57-11=46']
Exploring Operation: 75*46=3450, Resulting Numbers: [3450]
3450,69 unequal: No Solution
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 75+46=121, Resulting Numbers: [121]
121,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 69:[57, 86], Operations: ['57-46=11', '75+11=86']
Exploring Operation: 57+86=143, Resulting Numbers: [143]
143,69 unequal: No Solution
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 57*86=4902, Resulting Numbers: [4902]
4902,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[75, 57, 11], Operations: ['57-46=11']
Exploring Operation: 75-11=64, Resulting Numbers: [57, 64]
Generated Node #0,4,0: 69:[57, 64] Operation: 75-11=64
Exploring Operation: 75-57=18, Resulting Numbers: [11, 18]
Generated Node #0,4,1: 69:[11, 18] Operation: 75-57=18
Exploring Operation: 75+11=86, Resulting Numbers: [57, 86]
Generated Node #0,4,2: 69:[57, 86] Operation: 75+11=86
Exploring Operation: 57-11=46, Resulting Numbers: [75, 46]
Generated Node #0,4,3: 69:[75, 46] Operation: 57-11=46
Exploring Operation: 57+11=68, Resulting Numbers: [75, 68]
Generated Node #0,4,4: 69:[75, 68] Operation: 57+11=68
Moving to Node #0,4,4
Current State: 69:[75, 68], Operations: ['57-46=11', '57+11=68']
Exploring Operation: 75*68=5100, Resulting Numbers: [5100]
5100,69 unequal: No Solution
Exploring Operation: 75+68=143, Resulting Numbers: [143]
143,69 unequal: No Solution
Exploring Operation: 75-68=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Moving to Node #0,4,1
Current State: 69:[11, 18], Operations: ['57-46=11', '75-57=18']
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,69 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Moving to Node #0,4,0
Current State: 69:[57, 64], Operations: ['57-46=11', '75-11=64']
Exploring Operation: 57*64=3648, Resulting Numbers: [3648]
3648,69 unequal: No Solution
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 57+64=121, Resulting Numbers: [121]
121,69 unequal: No Solution
Moving to Node #0,4,2
Current State: 69:[57, 86], Operations: ['57-46=11', '75+11=86']
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 57*86=4902, Resulting Numbers: [4902]
4902,69 unequal: No Solution
Exploring Operation: 57+86=143, Resulting Numbers: [143]
143,69 unequal: No Solution
Moving to Node #0,4,3
Current State: 69:[75, 46], Operations: ['57-46=11', '57-11=46']
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 75+46=121, Resulting Numbers: [121]
121,69 unequal: No Solution
Exploring Operation: 75*46=3450, Resulting Numbers: [3450]
3450,69 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
Current State: 69:[57, 57, 29], Operations: ['75-46=29']
Exploring Operation: 57/57=1, Resulting Numbers: [29, 1]
Generated Node #0,3,0: 69:[29, 1] Operation: 57/57=1
Exploring Operation: 57-29=28, Resulting Numbers: [57, 28]
Generated Node #0,3,1: 69:[57, 28] Operation: 57-29=28
Exploring Operation: 57-29=28, Resulting Numbers: [57, 28]
Generated Node #0,3,2: 69:[57, 28] Operation: 57-29=28
Exploring Operation: 57+29=86, Resulting Numbers: [57, 86]
Generated Node #0,3,3: 69:[57, 86] Operation: 57+29=86
Exploring Operation: 57-57=0, Resulting Numbers: [29, 0]
Generated Node #0,3,4: 69:[29, 0] Operation: 57-57=0
Moving to Node #0,3,0
Current State: 69:[29, 1], Operations: ['75-46=29', '57/57=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Moving to Node #0,3,4
Current State: 69:[29, 0], Operations: ['75-46=29', '57-57=0']
Exploring Operation: 29-0=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 29*0=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 29+0=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[57, 28], Operations: ['75-46=29', '57-29=28']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 57*28=1596, Resulting Numbers: [1596]
1596,69 unequal: No Solution
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[57, 28], Operations: ['75-46=29', '57-29=28']
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 57*28=1596, Resulting Numbers: [1596]
1596,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[57, 86], Operations: ['75-46=29', '57+29=86']
Exploring Operation: 57+86=143, Resulting Numbers: [143]
143,69 unequal: No Solution
Exploring Operation: 57*86=4902, Resulting Numbers: [4902]
4902,69 unequal: No Solution
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,69 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
Current State: 69:[46, 75, 1], Operations: ['57/57=1']
Exploring Operation: 75-46=29, Resulting Numbers: [1, 29]
Generated Node #0,0,0: 69:[1, 29] Operation: 75-46=29
Exploring Operation: 46+1=47, Resulting Numbers: [75, 47]
Generated Node #0,0,1: 69:[75, 47] Operation: 46+1=47
Exploring Operation: 46-1=45, Resulting Numbers: [75, 45]
Generated Node #0,0,2: 69:[75, 45] Operation: 46-1=45
Exploring Operation: 75-1=74, Resulting Numbers: [46, 74]
Generated Node #0,0,3: 69:[46, 74] Operation: 75-1=74
Exploring Operation: 46*1=46, Resulting Numbers: [75, 46]
Generated Node #0,0,4: 69:[75, 46] Operation: 46*1=46
Moving to Node #0,0,0
Current State: 69:[1, 29], Operations: ['57/57=1', '75-46=29']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 1*29=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[75, 45], Operations: ['57/57=1', '46-1=45']
Exploring Operation: 75*45=3375, Resulting Numbers: [3375]
3375,69 unequal: No Solution
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 75+45=120, Resulting Numbers: [120]
120,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[75, 47], Operations: ['57/57=1', '46+1=47']
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 75*47=3525, Resulting Numbers: [3525]
3525,69 unequal: No Solution
Exploring Operation: 75+47=122, Resulting Numbers: [122]
122,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[46, 74], Operations: ['57/57=1', '75-1=74']
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 46*74=3404, Resulting Numbers: [3404]
3404,69 unequal: No Solution
Exploring Operation: 46+74=120, Resulting Numbers: [120]
120,69 unequal: No Solution
Moving to Node #0,0,4
Current State: 69:[75, 46], Operations: ['57/57=1', '46*1=46']
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 75+46=121, Resulting Numbers: [121]
121,69 unequal: No Solution
Exploring Operation: 75*46=3450, Resulting Numbers: [3450]
3450,69 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 #0,1
Current State: 69:[46, 75, 0], Operations: ['57-57=0']
Exploring Operation: 46*0=0, Resulting Numbers: [75, 0]
Generated Node #0,1,0: 69:[75, 0] Operation: 46*0=0
Exploring Operation: 75*0=0, Resulting Numbers: [46, 0]
Generated Node #0,1,1: 69:[46, 0] Operation: 75*0=0
Exploring Operation: 75-46=29, Resulting Numbers: [0, 29]
Generated Node #0,1,2: 69:[0, 29] Operation: 75-46=29
Exploring Operation: 46-0=46, Resulting Numbers: [75, 46]
Generated Node #0,1,3: 69:[75, 46] Operation: 46-0=46
Exploring Operation: 46+0=46, Resulting Numbers: [75, 46]
Generated Node #0,1,4: 69:[75, 46] Operation: 46+0=46
Moving to Node #0,1,0
Current State: 69:[75, 0], Operations: ['57-57=0', '46*0=0']
Exploring Operation: 75+0=75, Resulting Numbers: [75]
75,69 unequal: No Solution
Exploring Operation: 75-0=75, Resulting Numbers: [75]
75,69 unequal: No Solution
Exploring Operation: 75*0=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[0, 29], Operations: ['57-57=0', '75-46=29']
Exploring Operation: 0*29=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 0+29=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Exploring Operation: 29-0=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[46, 0], Operations: ['57-57=0', '75*0=0']
Exploring Operation: 46-0=46, Resulting Numbers: [46]
46,69 unequal: No Solution
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,69 unequal: No Solution
Exploring Operation: 46*0=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[75, 46], Operations: ['57-57=0', '46-0=46']
Exploring Operation: 75+46=121, Resulting Numbers: [121]
121,69 unequal: No Solution
Exploring Operation: 75*46=3450, Resulting Numbers: [3450]
3450,69 unequal: No Solution
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,69 unequal: No Solution
Moving to Node #0,1,4
Current State: 69:[75, 46], Operations: ['57-57=0', '46+0=46']
Exploring Operation: 75+46=121, Resulting Numbers: [121]
121,69 unequal: No Solution
Exploring Operation: 75*46=3450, Resulting Numbers: [3450]
3450,69 unequal: No Solution
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,69 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 |
[
87,
48,
15,
36
] | 67 | [
"48*15=720",
"720/36=20",
"87-20=67"
] | Current State: 67:[87, 48, 15, 36], Operations: []
Exploring Operation: 48*15=720, Resulting Numbers: [87, 36, 720]
Generated Node #2: [87, 36, 720] from Operation: 48*15=720
Current State: 67:[87, 36, 720], Operations: ['48*15=720']
Exploring Operation: 720/36=20, Resulting Numbers: [87, 20]
Generated Node #3: [87, 20] from Operation: 720/36=20
Current State: 67:[87, 20], Operations: ['48*15=720', '720/36=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[87, 48, 15, 36], Operations: []
Exploring Operation: 87-15=72, Resulting Numbers: [48, 36, 72]
Generated Node #0,0: 67:[48, 36, 72] Operation: 87-15=72
Exploring Operation: 48+15=63, Resulting Numbers: [87, 36, 63]
Generated Node #0,1: 67:[87, 36, 63] Operation: 48+15=63
Moving to Node #0,0
Current State: 67:[48, 36, 72], Operations: ['87-15=72']
Exploring Operation: 48+36=84, Resulting Numbers: [72, 84]
Generated Node #0,0,0: 67:[72, 84] Operation: 48+36=84
Exploring Operation: 72-36=36, Resulting Numbers: [48, 36]
Generated Node #0,0,1: 67:[48, 36] Operation: 72-36=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[72, 84], Operations: ['87-15=72', '48+36=84']
Exploring Operation: 72+84=156, Resulting Numbers: [156]
156,67 unequal: No Solution
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[48, 36], Operations: ['87-15=72', '72-36=36']
Exploring Operation: 48+36=84, Resulting Numbers: [84]
84,67 unequal: No Solution
Exploring Operation: 48-36=12, Resulting Numbers: [12]
12,67 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: 67:[87, 36, 63], Operations: ['48+15=63']
Exploring Operation: 87-36=51, Resulting Numbers: [63, 51]
Generated Node #0,1,0: 67:[63, 51] Operation: 87-36=51
Exploring Operation: 36+63=99, Resulting Numbers: [87, 99]
Generated Node #0,1,1: 67:[87, 99] Operation: 36+63=99
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[63, 51], Operations: ['48+15=63', '87-36=51']
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 63+51=114, Resulting Numbers: [114]
114,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[87, 99], Operations: ['48+15=63', '36+63=99']
Exploring Operation: 99-87=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 87+99=186, Resulting Numbers: [186]
186,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
67,
26,
38,
54
] | 18 | [
"67-26=41",
"41-38=3",
"54/3=18"
] | Current State: 18:[67, 26, 38, 54], Operations: []
Exploring Operation: 67-26=41, Resulting Numbers: [38, 54, 41]
Generated Node #2: [38, 54, 41] from Operation: 67-26=41
Current State: 18:[38, 54, 41], Operations: ['67-26=41']
Exploring Operation: 41-38=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 41-38=3
Current State: 18:[54, 3], Operations: ['67-26=41', '41-38=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[67, 26, 38, 54], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [67, 26, 16]
Generated Node #0,0: 18:[67, 26, 16] Operation: 54-38=16
Exploring Operation: 67-26=41, Resulting Numbers: [38, 54, 41]
Generated Node #0,1: 18:[38, 54, 41] Operation: 67-26=41
Exploring Operation: 54-26=28, Resulting Numbers: [67, 38, 28]
Generated Node #0,2: 18:[67, 38, 28] Operation: 54-26=28
Exploring Operation: 67-38=29, Resulting Numbers: [26, 54, 29]
Generated Node #0,3: 18:[26, 54, 29] Operation: 67-38=29
Exploring Operation: 67-54=13, Resulting Numbers: [26, 38, 13]
Generated Node #0,4: 18:[26, 38, 13] Operation: 67-54=13
Start Sub Search at level 1: Moving to Node #0,4
Current State: 18:[26, 38, 13], Operations: ['67-54=13']
Exploring Operation: 26/13=2, Resulting Numbers: [38, 2]
Generated Node #0,4,0: 18:[38, 2] Operation: 26/13=2
Exploring Operation: 38-26=12, Resulting Numbers: [13, 12]
Generated Node #0,4,1: 18:[13, 12] Operation: 38-26=12
Exploring Operation: 26+13=39, Resulting Numbers: [38, 39]
Generated Node #0,4,2: 18:[38, 39] Operation: 26+13=39
Exploring Operation: 26-13=13, Resulting Numbers: [38, 13]
Generated Node #0,4,3: 18:[38, 13] Operation: 26-13=13
Exploring Operation: 38-13=25, Resulting Numbers: [26, 25]
Generated Node #0,4,4: 18:[26, 25] Operation: 38-13=25
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 18:[13, 12], Operations: ['67-54=13', '38-26=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,18 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,18 unequal: No Solution
No 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: 18:[26, 25], Operations: ['67-54=13', '38-13=25']
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,18 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,18 unequal: No Solution
No 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: 18:[38, 2], Operations: ['67-54=13', '26/13=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,18 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,18 unequal: No Solution
No 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: 18:[38, 13], Operations: ['67-54=13', '26-13=13']
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,18 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,18 unequal: No Solution
No 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: 18:[38, 39], Operations: ['67-54=13', '26+13=39']
Exploring Operation: 38+39=77, Resulting Numbers: [77]
77,18 unequal: No Solution
Exploring Operation: 39-38=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 38*39=1482, Resulting Numbers: [1482]
1482,18 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: 18:[26, 54, 29], Operations: ['67-38=29']
Exploring Operation: 54-26=28, Resulting Numbers: [29, 28]
Generated Node #0,3,0: 18:[29, 28] Operation: 54-26=28
Exploring Operation: 26+29=55, Resulting Numbers: [54, 55]
Generated Node #0,3,1: 18:[54, 55] Operation: 26+29=55
Exploring Operation: 54-29=25, Resulting Numbers: [26, 25]
Generated Node #0,3,2: 18:[26, 25] Operation: 54-29=25
Exploring Operation: 29-26=3, Resulting Numbers: [54, 3]
Generated Node #0,3,3: 18:[54, 3] Operation: 29-26=3
Exploring Operation: 26+54=80, Resulting Numbers: [29, 80]
Generated Node #0,3,4: 18:[29, 80] Operation: 26+54=80
Moving to Node #0,3,2
Current State: 18:[26, 25], Operations: ['67-38=29', '54-29=25']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[29, 28], Operations: ['67-38=29', '54-26=28']
Exploring Operation: 29*28=812, Resulting Numbers: [812]
812,18 unequal: No Solution
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[54, 3], Operations: ['67-38=29', '29-26=3']
Exploring Operation: 54*3=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[67, 26, 38, 54], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [26, 54, 29]
Generated Node #0,3: 18:[26, 54, 29] Operation: 67-38=29
Moving to Node #0,3
Current State: 18:[26, 54, 29], Operations: ['67-38=29']
Exploring Operation: 29-26=3, Resulting Numbers: [54, 3]
Generated Node #0,3,3: 18:[54, 3] Operation: 29-26=3
Moving to Node #0,3,3
Current State: 18:[54, 3], Operations: ['67-38=29', '29-26=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_5 | mult_heuristic |
[
7,
82,
2,
27
] | 98 | [
"82/2=41",
"41-27=14",
"7*14=98"
] | Current State: 98:[7, 82, 2, 27], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [7, 27, 41]
Generated Node #2: [7, 27, 41] from Operation: 82/2=41
Current State: 98:[7, 27, 41], Operations: ['82/2=41']
Exploring Operation: 41-27=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 41-27=14
Current State: 98:[7, 14], Operations: ['82/2=41', '41-27=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[7, 82, 2, 27], Operations: []
Exploring Operation: 82+27=109, Resulting Numbers: [7, 2, 109]
Generated Node #0,0: 98:[7, 2, 109] Operation: 82+27=109
Exploring Operation: 7+82=89, Resulting Numbers: [2, 27, 89]
Generated Node #0,1: 98:[2, 27, 89] Operation: 7+82=89
Exploring Operation: 2*27=54, Resulting Numbers: [7, 82, 54]
Generated Node #0,2: 98:[7, 82, 54] Operation: 2*27=54
Exploring Operation: 82/2=41, Resulting Numbers: [7, 27, 41]
Generated Node #0,3: 98:[7, 27, 41] Operation: 82/2=41
Exploring Operation: 82-27=55, Resulting Numbers: [7, 2, 55]
Generated Node #0,4: 98:[7, 2, 55] Operation: 82-27=55
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[7, 2, 55], Operations: ['82-27=55']
Exploring Operation: 7*2=14, Resulting Numbers: [55, 14]
Generated Node #0,4,0: 98:[55, 14] Operation: 7*2=14
Exploring Operation: 7-2=5, Resulting Numbers: [55, 5]
Generated Node #0,4,1: 98:[55, 5] Operation: 7-2=5
Exploring Operation: 55-2=53, Resulting Numbers: [7, 53]
Generated Node #0,4,2: 98:[7, 53] Operation: 55-2=53
Exploring Operation: 7+2=9, Resulting Numbers: [55, 9]
Generated Node #0,4,3: 98:[55, 9] Operation: 7+2=9
Exploring Operation: 55-7=48, Resulting Numbers: [2, 48]
Generated Node #0,4,4: 98:[2, 48] Operation: 55-7=48
Moving to Node #0,4,4
Current State: 98:[2, 48], Operations: ['82-27=55', '55-7=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,98 unequal: No Solution
Moving to Node #0,4,2
Current State: 98:[7, 53], Operations: ['82-27=55', '55-2=53']
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 7*53=371, Resulting Numbers: [371]
371,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[55, 14], Operations: ['82-27=55', '7*2=14']
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,98 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,98 unequal: No Solution
Exploring Operation: 55*14=770, Resulting Numbers: [770]
770,98 unequal: No Solution
Moving to Node #0,4,1
Current State: 98:[55, 5], Operations: ['82-27=55', '7-2=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,98 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,98 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,98 unequal: No Solution
Moving to Node #0,4,3
Current State: 98:[55, 9], Operations: ['82-27=55', '7+2=9']
Exploring Operation: 55*9=495, Resulting Numbers: [495]
495,98 unequal: No Solution
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[7, 2, 109], Operations: ['82+27=109']
Exploring Operation: 109-7=102, Resulting Numbers: [2, 102]
Generated Node #0,0,0: 98:[2, 102] Operation: 109-7=102
Exploring Operation: 7*2=14, Resulting Numbers: [109, 14]
Generated Node #0,0,1: 98:[109, 14] Operation: 7*2=14
Exploring Operation: 7-2=5, Resulting Numbers: [109, 5]
Generated Node #0,0,2: 98:[109, 5] Operation: 7-2=5
Exploring Operation: 7+2=9, Resulting Numbers: [109, 9]
Generated Node #0,0,3: 98:[109, 9] Operation: 7+2=9
Exploring Operation: 109-2=107, Resulting Numbers: [7, 107]
Generated Node #0,0,4: 98:[7, 107] Operation: 109-2=107
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[2, 102], Operations: ['82+27=109', '109-7=102']
Exploring Operation: 102-2=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 2*102=204, Resulting Numbers: [204]
204,98 unequal: No Solution
Exploring Operation: 2+102=104, Resulting Numbers: [104]
104,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 98:[7, 107], Operations: ['82+27=109', '109-2=107']
Exploring Operation: 7+107=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Exploring Operation: 107-7=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Exploring Operation: 7*107=749, Resulting Numbers: [749]
749,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[109, 14], Operations: ['82+27=109', '7*2=14']
Exploring Operation: 109-14=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Exploring Operation: 109*14=1526, Resulting Numbers: [1526]
1526,98 unequal: No Solution
Exploring Operation: 109+14=123, Resulting Numbers: [123]
123,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[109, 5], Operations: ['82+27=109', '7-2=5']
Exploring Operation: 109*5=545, Resulting Numbers: [545]
545,98 unequal: No Solution
Exploring Operation: 109+5=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Exploring Operation: 109-5=104, Resulting Numbers: [104]
104,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[109, 9], Operations: ['82+27=109', '7+2=9']
Exploring Operation: 109+9=118, Resulting Numbers: [118]
118,98 unequal: No Solution
Exploring Operation: 109-9=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Exploring Operation: 109*9=981, Resulting Numbers: [981]
981,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[7, 82, 54], Operations: ['2*27=54']
Exploring Operation: 82-54=28, Resulting Numbers: [7, 28]
Generated Node #0,2,0: 98:[7, 28] Operation: 82-54=28
Exploring Operation: 82-7=75, Resulting Numbers: [54, 75]
Generated Node #0,2,1: 98:[54, 75] Operation: 82-7=75
Exploring Operation: 54-7=47, Resulting Numbers: [82, 47]
Generated Node #0,2,2: 98:[82, 47] Operation: 54-7=47
Exploring Operation: 7+54=61, Resulting Numbers: [82, 61]
Generated Node #0,2,3: 98:[82, 61] Operation: 7+54=61
Exploring Operation: 7+82=89, Resulting Numbers: [54, 89]
Generated Node #0,2,4: 98:[54, 89] Operation: 7+82=89
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[7, 28], Operations: ['2*27=54', '82-54=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,98 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 98:[54, 89], Operations: ['2*27=54', '7+82=89']
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,98 unequal: No Solution
Exploring Operation: 54*89=4806, Resulting Numbers: [4806]
4806,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 98:[82, 47], Operations: ['2*27=54', '54-7=47']
Exploring Operation: 82*47=3854, Resulting Numbers: [3854]
3854,98 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 82+47=129, Resulting Numbers: [129]
129,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[54, 75], Operations: ['2*27=54', '82-7=75']
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 54+75=129, Resulting Numbers: [129]
129,98 unequal: No Solution
Exploring Operation: 54*75=4050, Resulting Numbers: [4050]
4050,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 98:[82, 61], Operations: ['2*27=54', '7+54=61']
Exploring Operation: 82*61=5002, Resulting Numbers: [5002]
5002,98 unequal: No Solution
Exploring Operation: 82+61=143, Resulting Numbers: [143]
143,98 unequal: No Solution
Exploring Operation: 82-61=21, Resulting Numbers: [21]
21,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[7, 27, 41], Operations: ['82/2=41']
Exploring Operation: 27+41=68, Resulting Numbers: [7, 68]
Generated Node #0,3,0: 98:[7, 68] Operation: 27+41=68
Exploring Operation: 41-27=14, Resulting Numbers: [7, 14]
Generated Node #0,3,1: 98:[7, 14] Operation: 41-27=14
Exploring Operation: 27-7=20, Resulting Numbers: [41, 20]
Generated Node #0,3,2: 98:[41, 20] Operation: 27-7=20
Exploring Operation: 7+27=34, Resulting Numbers: [41, 34]
Generated Node #0,3,3: 98:[41, 34] Operation: 7+27=34
Exploring Operation: 7+41=48, Resulting Numbers: [27, 48]
Generated Node #0,3,4: 98:[27, 48] Operation: 7+41=48
Moving to Node #0,3,1
Current State: 98:[7, 14], Operations: ['82/2=41', '41-27=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[7, 82, 2, 27], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [7, 27, 41]
Generated Node #0,3: 98:[7, 27, 41] Operation: 82/2=41
Moving to Node #0,3
Current State: 98:[7, 27, 41], Operations: ['82/2=41']
Exploring Operation: 41-27=14, Resulting Numbers: [7, 14]
Generated Node #0,3,1: 98:[7, 14] Operation: 41-27=14
Moving to Node #0,3,1
Current State: 98:[7, 14], Operations: ['82/2=41', '41-27=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.931424 | hs_5 | mult_heuristic |
[
1,
38,
31,
53
] | 60 | [
"1*38=38",
"53-31=22",
"38+22=60"
] | Current State: 60:[1, 38, 31, 53], Operations: []
Exploring Operation: 1*38=38, Resulting Numbers: [31, 53, 38]
Generated Node #2: [31, 53, 38] from Operation: 1*38=38
Current State: 60:[31, 53, 38], Operations: ['1*38=38']
Exploring Operation: 53-31=22, Resulting Numbers: [38, 22]
Generated Node #3: [38, 22] from Operation: 53-31=22
Current State: 60:[38, 22], Operations: ['1*38=38', '53-31=22']
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[1, 38, 31, 53], Operations: []
Exploring Operation: 53-31=22, Resulting Numbers: [1, 38, 22]
Generated Node #0,0: 60:[1, 38, 22] Operation: 53-31=22
Exploring Operation: 38-1=37, Resulting Numbers: [31, 53, 37]
Generated Node #0,1: 60:[31, 53, 37] Operation: 38-1=37
Exploring Operation: 53-38=15, Resulting Numbers: [1, 31, 15]
Generated Node #0,2: 60:[1, 31, 15] Operation: 53-38=15
Exploring Operation: 38-31=7, Resulting Numbers: [1, 53, 7]
Generated Node #0,3: 60:[1, 53, 7] Operation: 38-31=7
Moving to Node #0,2
Current State: 60:[1, 31, 15], Operations: ['53-38=15']
Exploring Operation: 1*15=15, Resulting Numbers: [31, 15]
Generated Node #0,2,0: 60:[31, 15] Operation: 1*15=15
Exploring Operation: 31-1=30, Resulting Numbers: [15, 30]
Generated Node #0,2,1: 60:[15, 30] Operation: 31-1=30
Exploring Operation: 1*31=31, Resulting Numbers: [15, 31]
Generated Node #0,2,2: 60:[15, 31] Operation: 1*31=31
Exploring Operation: 31/1=31, Resulting Numbers: [15, 31]
Generated Node #0,2,3: 60:[15, 31] Operation: 31/1=31
Moving to Node #0,3
Current State: 60:[1, 53, 7], Operations: ['38-31=7']
Exploring Operation: 1*53=53, Resulting Numbers: [7, 53]
Generated Node #0,3,0: 60:[7, 53] Operation: 1*53=53
Exploring Operation: 1+53=54, Resulting Numbers: [7, 54]
Generated Node #0,3,1: 60:[7, 54] Operation: 1+53=54
Exploring Operation: 53+7=60, Resulting Numbers: [1, 60]
Generated Node #0,3,2: 60:[1, 60] Operation: 53+7=60
Exploring Operation: 7-1=6, Resulting Numbers: [53, 6]
Generated Node #0,3,3: 60:[53, 6] Operation: 7-1=6
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 60:[1, 60], Operations: ['38-31=7', '53+7=60']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,60 unequal: No Solution
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[1, 38, 31, 53], Operations: []
Exploring Operation: 38-31=7, Resulting Numbers: [1, 53, 7]
Generated Node #0,3: 60:[1, 53, 7] Operation: 38-31=7
Moving to Node #0,3
Current State: 60:[1, 53, 7], Operations: ['38-31=7']
Exploring Operation: 53+7=60, Resulting Numbers: [1, 60]
Generated Node #0,3,2: 60:[1, 60] Operation: 53+7=60
Moving to Node #0,3,2
Current State: 60:[1, 60], Operations: ['38-31=7', '53+7=60']
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
48,
73,
48,
13
] | 85 | [
"48/48=1",
"73+13=86",
"86-1=85"
] | Current State: 85:[48, 73, 48, 13], Operations: []
Exploring Operation: 48/48=1, Resulting Numbers: [73, 13, 1]
Generated Node #2: [73, 13, 1] from Operation: 48/48=1
Current State: 85:[73, 13, 1], Operations: ['48/48=1']
Exploring Operation: 73+13=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 73+13=86
Current State: 85:[1, 86], Operations: ['48/48=1', '73+13=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[48, 73, 48, 13], Operations: []
Exploring Operation: 48/48=1, Resulting Numbers: [73, 13, 1]
Generated Node #0,0: 85:[73, 13, 1] Operation: 48/48=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[73, 13, 1], Operations: ['48/48=1']
Exploring Operation: 73+13=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 85:[1, 86] Operation: 73+13=86
Moving to Node #0,0,0
Current State: 85:[1, 86], Operations: ['48/48=1', '73+13=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[48, 73, 48, 13], Operations: []
Exploring Operation: 48/48=1, Resulting Numbers: [73, 13, 1]
Generated Node #0,0: 85:[73, 13, 1] Operation: 48/48=1
Moving to Node #0,0
Current State: 85:[73, 13, 1], Operations: ['48/48=1']
Exploring Operation: 73+13=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 85:[1, 86] Operation: 73+13=86
Moving to Node #0,0,0
Current State: 85:[1, 86], Operations: ['48/48=1', '73+13=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
9,
28,
75,
82
] | 30 | [
"9+28=37",
"82-75=7",
"37-7=30"
] | Current State: 30:[9, 28, 75, 82], Operations: []
Exploring Operation: 9+28=37, Resulting Numbers: [75, 82, 37]
Generated Node #2: [75, 82, 37] from Operation: 9+28=37
Current State: 30:[75, 82, 37], Operations: ['9+28=37']
Exploring Operation: 82-75=7, Resulting Numbers: [37, 7]
Generated Node #3: [37, 7] from Operation: 82-75=7
Current State: 30:[37, 7], Operations: ['9+28=37', '82-75=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[9, 28, 75, 82], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [9, 28, 7]
Generated Node #0,0: 30:[9, 28, 7] Operation: 82-75=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[9, 28, 7], Operations: ['82-75=7']
Exploring Operation: 9-7=2, Resulting Numbers: [28, 2]
Generated Node #0,0,0: 30:[28, 2] Operation: 9-7=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[28, 2], Operations: ['82-75=7', '9-7=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[9, 28, 75, 82], Operations: []
Exploring Operation: 82-75=7, Resulting Numbers: [9, 28, 7]
Generated Node #0,0: 30:[9, 28, 7] Operation: 82-75=7
Moving to Node #0,0
Current State: 30:[9, 28, 7], Operations: ['82-75=7']
Exploring Operation: 9-7=2, Resulting Numbers: [28, 2]
Generated Node #0,0,0: 30:[28, 2] Operation: 9-7=2
Moving to Node #0,0,0
Current State: 30:[28, 2], Operations: ['82-75=7', '9-7=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
8,
20,
73,
23
] | 97 | [
"23-20=3",
"8*3=24",
"73+24=97"
] | Current State: 97:[8, 20, 73, 23], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [8, 73, 3]
Generated Node #2: [8, 73, 3] from Operation: 23-20=3
Current State: 97:[8, 73, 3], Operations: ['23-20=3']
Exploring Operation: 8*3=24, Resulting Numbers: [73, 24]
Generated Node #3: [73, 24] from Operation: 8*3=24
Current State: 97:[73, 24], Operations: ['23-20=3', '8*3=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[8, 20, 73, 23], Operations: []
Exploring Operation: 8+23=31, Resulting Numbers: [20, 73, 31]
Generated Node #0,0: 97:[20, 73, 31] Operation: 8+23=31
Exploring Operation: 8*20=160, Resulting Numbers: [73, 23, 160]
Generated Node #0,1: 97:[73, 23, 160] Operation: 8*20=160
Exploring Operation: 8+73=81, Resulting Numbers: [20, 23, 81]
Generated Node #0,2: 97:[20, 23, 81] Operation: 8+73=81
Exploring Operation: 8+20=28, Resulting Numbers: [73, 23, 28]
Generated Node #0,3: 97:[73, 23, 28] Operation: 8+20=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[73, 23, 160], Operations: ['8*20=160']
Exploring Operation: 160-23=137, Resulting Numbers: [73, 137]
Generated Node #0,1,0: 97:[73, 137] Operation: 160-23=137
Exploring Operation: 160-73=87, Resulting Numbers: [23, 87]
Generated Node #0,1,1: 97:[23, 87] Operation: 160-73=87
Exploring Operation: 73+23=96, Resulting Numbers: [160, 96]
Generated Node #0,1,2: 97:[160, 96] Operation: 73+23=96
Exploring Operation: 73-23=50, Resulting Numbers: [160, 50]
Generated Node #0,1,3: 97:[160, 50] Operation: 73-23=50
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[73, 137], Operations: ['8*20=160', '160-23=137']
Exploring Operation: 73+137=210, Resulting Numbers: [210]
210,97 unequal: No Solution
Exploring Operation: 137-73=64, Resulting Numbers: [64]
64,97 unequal: No Solution
Exploring Operation: 73*137=10001, Resulting Numbers: [10001]
10001,97 unequal: No Solution
No 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: 97:[160, 96], Operations: ['8*20=160', '73+23=96']
Exploring Operation: 160*96=15360, Resulting Numbers: [15360]
15360,97 unequal: No Solution
Exploring Operation: 160+96=256, Resulting Numbers: [256]
256,97 unequal: No Solution
Exploring Operation: 160-96=64, Resulting Numbers: [64]
64,97 unequal: No Solution
No 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: 97:[23, 87], Operations: ['8*20=160', '160-73=87']
Exploring Operation: 23+87=110, Resulting Numbers: [110]
110,97 unequal: No Solution
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,97 unequal: No Solution
Exploring Operation: 23*87=2001, Resulting Numbers: [2001]
2001,97 unequal: No Solution
No 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: 97:[160, 50], Operations: ['8*20=160', '73-23=50']
Exploring Operation: 160+50=210, Resulting Numbers: [210]
210,97 unequal: No Solution
Exploring Operation: 160*50=8000, Resulting Numbers: [8000]
8000,97 unequal: No Solution
Exploring Operation: 160-50=110, Resulting Numbers: [110]
110,97 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: 97:[20, 73, 31], Operations: ['8+23=31']
Exploring Operation: 20+73=93, Resulting Numbers: [31, 93]
Generated Node #0,0,0: 97:[31, 93] Operation: 20+73=93
Exploring Operation: 20+31=51, Resulting Numbers: [73, 51]
Generated Node #0,0,1: 97:[73, 51] Operation: 20+31=51
Exploring Operation: 73+31=104, Resulting Numbers: [20, 104]
Generated Node #0,0,2: 97:[20, 104] Operation: 73+31=104
Exploring Operation: 73-20=53, Resulting Numbers: [31, 53]
Generated Node #0,0,3: 97:[31, 53] Operation: 73-20=53
Moving to Node #0,0,0
Current State: 97:[31, 93], Operations: ['8+23=31', '20+73=93']
Exploring Operation: 31*93=2883, Resulting Numbers: [2883]
2883,97 unequal: No Solution
Exploring Operation: 93-31=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Exploring Operation: 31+93=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 93/31=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[73, 51], Operations: ['8+23=31', '20+31=51']
Exploring Operation: 73*51=3723, Resulting Numbers: [3723]
3723,97 unequal: No Solution
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 73+51=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[20, 104], Operations: ['8+23=31', '73+31=104']
Exploring Operation: 104-20=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 20+104=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 20*104=2080, Resulting Numbers: [2080]
2080,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[31, 53], Operations: ['8+23=31', '73-20=53']
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 31*53=1643, Resulting Numbers: [1643]
1643,97 unequal: No Solution
Exploring Operation: 31+53=84, Resulting Numbers: [84]
84,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[20, 23, 81], Operations: ['8+73=81']
Exploring Operation: 20+23=43, Resulting Numbers: [81, 43]
Generated Node #0,2,0: 97:[81, 43] Operation: 20+23=43
Exploring Operation: 23-20=3, Resulting Numbers: [81, 3]
Generated Node #0,2,1: 97:[81, 3] Operation: 23-20=3
Exploring Operation: 20+81=101, Resulting Numbers: [23, 101]
Generated Node #0,2,2: 97:[23, 101] Operation: 20+81=101
Exploring Operation: 23+81=104, Resulting Numbers: [20, 104]
Generated Node #0,2,3: 97:[20, 104] Operation: 23+81=104
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[81, 43], Operations: ['8+73=81', '20+23=43']
Exploring Operation: 81+43=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 81*43=3483, Resulting Numbers: [3483]
3483,97 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,97 unequal: No Solution
No 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: 97:[23, 101], Operations: ['8+73=81', '20+81=101']
Exploring Operation: 23*101=2323, Resulting Numbers: [2323]
2323,97 unequal: No Solution
Exploring Operation: 101-23=78, Resulting Numbers: [78]
78,97 unequal: No Solution
Exploring Operation: 23+101=124, Resulting Numbers: [124]
124,97 unequal: No Solution
No 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: 97:[20, 104], Operations: ['8+73=81', '23+81=104']
Exploring Operation: 104-20=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 20+104=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 20*104=2080, Resulting Numbers: [2080]
2080,97 unequal: No Solution
No 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: 97:[81, 3], Operations: ['8+73=81', '23-20=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 81*3=243, Resulting Numbers: [243]
243,97 unequal: No Solution
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,97 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: 97:[73, 23, 28], Operations: ['8+20=28']
Exploring Operation: 73-23=50, Resulting Numbers: [28, 50]
Generated Node #0,3,0: 97:[28, 50] Operation: 73-23=50
Exploring Operation: 73+28=101, Resulting Numbers: [23, 101]
Generated Node #0,3,1: 97:[23, 101] Operation: 73+28=101
Exploring Operation: 23+28=51, Resulting Numbers: [73, 51]
Generated Node #0,3,2: 97:[73, 51] Operation: 23+28=51
Exploring Operation: 73+23=96, Resulting Numbers: [28, 96]
Generated Node #0,3,3: 97:[28, 96] Operation: 73+23=96
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 97:[73, 51], Operations: ['8+20=28', '23+28=51']
Exploring Operation: 73+51=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 73*51=3723, Resulting Numbers: [3723]
3723,97 unequal: No Solution
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,97 unequal: No Solution
No 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: 97:[28, 96], Operations: ['8+20=28', '73+23=96']
Exploring Operation: 28+96=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 96-28=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 28*96=2688, Resulting Numbers: [2688]
2688,97 unequal: No Solution
No 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: 97:[23, 101], Operations: ['8+20=28', '73+28=101']
Exploring Operation: 23*101=2323, Resulting Numbers: [2323]
2323,97 unequal: No Solution
Exploring Operation: 101-23=78, Resulting Numbers: [78]
78,97 unequal: No Solution
Exploring Operation: 23+101=124, Resulting Numbers: [124]
124,97 unequal: No Solution
No 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: 97:[28, 50], Operations: ['8+20=28', '73-23=50']
Exploring Operation: 28*50=1400, Resulting Numbers: [1400]
1400,97 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 28+50=78, Resulting Numbers: [78]
78,97 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 |
[
87,
93,
89,
14
] | 69 | [
"93-87=6",
"89-14=75",
"75-6=69"
] | Current State: 69:[87, 93, 89, 14], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [89, 14, 6]
Generated Node #2: [89, 14, 6] from Operation: 93-87=6
Current State: 69:[89, 14, 6], Operations: ['93-87=6']
Exploring Operation: 89-14=75, Resulting Numbers: [6, 75]
Generated Node #3: [6, 75] from Operation: 89-14=75
Current State: 69:[6, 75], Operations: ['93-87=6', '89-14=75']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[87, 93, 89, 14], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [93, 14, 2]
Generated Node #0,0: 69:[93, 14, 2] Operation: 89-87=2
Exploring Operation: 93-89=4, Resulting Numbers: [87, 14, 4]
Generated Node #0,1: 69:[87, 14, 4] Operation: 93-89=4
Exploring Operation: 93-87=6, Resulting Numbers: [89, 14, 6]
Generated Node #0,2: 69:[89, 14, 6] Operation: 93-87=6
Exploring Operation: 87-14=73, Resulting Numbers: [93, 89, 73]
Generated Node #0,3: 69:[93, 89, 73] Operation: 87-14=73
Exploring Operation: 93-14=79, Resulting Numbers: [87, 89, 79]
Generated Node #0,4: 69:[87, 89, 79] Operation: 93-14=79
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[87, 14, 4], Operations: ['93-89=4']
Exploring Operation: 14+4=18, Resulting Numbers: [87, 18]
Generated Node #0,1,0: 69:[87, 18] Operation: 14+4=18
Exploring Operation: 14-4=10, Resulting Numbers: [87, 10]
Generated Node #0,1,1: 69:[87, 10] Operation: 14-4=10
Exploring Operation: 87-14=73, Resulting Numbers: [4, 73]
Generated Node #0,1,2: 69:[4, 73] Operation: 87-14=73
Exploring Operation: 87-4=83, Resulting Numbers: [14, 83]
Generated Node #0,1,3: 69:[14, 83] Operation: 87-4=83
Exploring Operation: 87+4=91, Resulting Numbers: [14, 91]
Generated Node #0,1,4: 69:[14, 91] Operation: 87+4=91
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 69:[4, 73], Operations: ['93-89=4', '87-14=73']
Exploring Operation: 4+73=77, Resulting Numbers: [77]
77,69 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[87, 93, 89, 14], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [87, 14, 4]
Generated Node #0,1: 69:[87, 14, 4] Operation: 93-89=4
Moving to Node #0,1
Current State: 69:[87, 14, 4], Operations: ['93-89=4']
Exploring Operation: 87-14=73, Resulting Numbers: [4, 73]
Generated Node #0,1,2: 69:[4, 73] Operation: 87-14=73
Moving to Node #0,1,2
Current State: 69:[4, 73], Operations: ['93-89=4', '87-14=73']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
58,
33,
51,
57
] | 85 | [
"58+33=91",
"57-51=6",
"91-6=85"
] | Current State: 85:[58, 33, 51, 57], Operations: []
Exploring Operation: 58+33=91, Resulting Numbers: [51, 57, 91]
Generated Node #2: [51, 57, 91] from Operation: 58+33=91
Current State: 85:[51, 57, 91], Operations: ['58+33=91']
Exploring Operation: 57-51=6, Resulting Numbers: [91, 6]
Generated Node #3: [91, 6] from Operation: 57-51=6
Current State: 85:[91, 6], Operations: ['58+33=91', '57-51=6']
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[58, 33, 51, 57], Operations: []
Exploring Operation: 57-51=6, Resulting Numbers: [58, 33, 6]
Generated Node #0,0: 85:[58, 33, 6] Operation: 57-51=6
Exploring Operation: 58-51=7, Resulting Numbers: [33, 57, 7]
Generated Node #0,1: 85:[33, 57, 7] Operation: 58-51=7
Exploring Operation: 58-57=1, Resulting Numbers: [33, 51, 1]
Generated Node #0,2: 85:[33, 51, 1] Operation: 58-57=1
Moving to Node #0,0
Current State: 85:[58, 33, 6], Operations: ['57-51=6']
Exploring Operation: 58+6=64, Resulting Numbers: [33, 64]
Generated Node #0,0,0: 85:[33, 64] Operation: 58+6=64
Exploring Operation: 58-33=25, Resulting Numbers: [6, 25]
Generated Node #0,0,1: 85:[6, 25] Operation: 58-33=25
Exploring Operation: 58+33=91, Resulting Numbers: [6, 91]
Generated Node #0,0,2: 85:[6, 91] Operation: 58+33=91
Moving to Node #0,1
Current State: 85:[33, 57, 7], Operations: ['58-51=7']
Exploring Operation: 57-33=24, Resulting Numbers: [7, 24]
Generated Node #0,1,0: 85:[7, 24] Operation: 57-33=24
Exploring Operation: 33+57=90, Resulting Numbers: [7, 90]
Generated Node #0,1,1: 85:[7, 90] Operation: 33+57=90
Exploring Operation: 33-7=26, Resulting Numbers: [57, 26]
Generated Node #0,1,2: 85:[57, 26] Operation: 33-7=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[7, 90], Operations: ['58-51=7', '33+57=90']
Exploring Operation: 7*90=630, Resulting Numbers: [630]
630,85 unequal: No Solution
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,85 unequal: No Solution
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,85 unequal: No Solution
No 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: 85:[7, 24], Operations: ['58-51=7', '57-33=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,85 unequal: No Solution
No 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: 85:[57, 26], Operations: ['58-51=7', '33-7=26']
Exploring Operation: 57*26=1482, Resulting Numbers: [1482]
1482,85 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 57+26=83, Resulting Numbers: [83]
83,85 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: 85:[33, 51, 1], Operations: ['58-57=1']
Exploring Operation: 33+51=84, Resulting Numbers: [1, 84]
Generated Node #0,2,0: 85:[1, 84] Operation: 33+51=84
Exploring Operation: 51-33=18, Resulting Numbers: [1, 18]
Generated Node #0,2,1: 85:[1, 18] Operation: 51-33=18
Exploring Operation: 33-1=32, Resulting Numbers: [51, 32]
Generated Node #0,2,2: 85:[51, 32] Operation: 33-1=32
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 85:[1, 84], Operations: ['58-57=1', '33+51=84']
Exploring Operation: 1+84=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[58, 33, 51, 57], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [33, 51, 1]
Generated Node #0,2: 85:[33, 51, 1] Operation: 58-57=1
Moving to Node #0,2
Current State: 85:[33, 51, 1], Operations: ['58-57=1']
Exploring Operation: 33+51=84, Resulting Numbers: [1, 84]
Generated Node #0,2,0: 85:[1, 84] Operation: 33+51=84
Moving to Node #0,2,0
Current State: 85:[1, 84], Operations: ['58-57=1', '33+51=84']
Exploring Operation: 1+84=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
62,
34,
68,
76
] | 88 | [
"62+34=96",
"76-68=8",
"96-8=88"
] | Current State: 88:[62, 34, 68, 76], Operations: []
Exploring Operation: 62+34=96, Resulting Numbers: [68, 76, 96]
Generated Node #2: [68, 76, 96] from Operation: 62+34=96
Current State: 88:[68, 76, 96], Operations: ['62+34=96']
Exploring Operation: 76-68=8, Resulting Numbers: [96, 8]
Generated Node #3: [96, 8] from Operation: 76-68=8
Current State: 88:[96, 8], Operations: ['62+34=96', '76-68=8']
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[62, 34, 68, 76], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [34, 76, 6]
Generated Node #0,0: 88:[34, 76, 6] Operation: 68-62=6
Exploring Operation: 68/34=2, Resulting Numbers: [62, 76, 2]
Generated Node #0,1: 88:[62, 76, 2] Operation: 68/34=2
Exploring Operation: 76-68=8, Resulting Numbers: [62, 34, 8]
Generated Node #0,2: 88:[62, 34, 8] Operation: 76-68=8
Moving to Node #0,0
Current State: 88:[34, 76, 6], Operations: ['68-62=6']
Exploring Operation: 76+6=82, Resulting Numbers: [34, 82]
Generated Node #0,0,0: 88:[34, 82] Operation: 76+6=82
Exploring Operation: 76-34=42, Resulting Numbers: [6, 42]
Generated Node #0,0,1: 88:[6, 42] Operation: 76-34=42
Exploring Operation: 34+6=40, Resulting Numbers: [76, 40]
Generated Node #0,0,2: 88:[76, 40] Operation: 34+6=40
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[6, 42], Operations: ['68-62=6', '76-34=42']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[34, 82], Operations: ['68-62=6', '76+6=82']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 34*82=2788, Resulting Numbers: [2788]
2788,88 unequal: No Solution
Exploring Operation: 34+82=116, Resulting Numbers: [116]
116,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[76, 40], Operations: ['68-62=6', '34+6=40']
Exploring Operation: 76+40=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 76*40=3040, Resulting Numbers: [3040]
3040,88 unequal: No Solution
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,88 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: 88:[62, 34, 8], Operations: ['76-68=8']
Exploring Operation: 62-34=28, Resulting Numbers: [8, 28]
Generated Node #0,2,0: 88:[8, 28] Operation: 62-34=28
Exploring Operation: 62+34=96, Resulting Numbers: [8, 96]
Generated Node #0,2,1: 88:[8, 96] Operation: 62+34=96
Exploring Operation: 62-8=54, Resulting Numbers: [34, 54]
Generated Node #0,2,2: 88:[34, 54] Operation: 62-8=54
Moving to Node #0,1
Current State: 88:[62, 76, 2], Operations: ['68/34=2']
Exploring Operation: 76/2=38, Resulting Numbers: [62, 38]
Generated Node #0,1,0: 88:[62, 38] Operation: 76/2=38
Exploring Operation: 62/2=31, Resulting Numbers: [76, 31]
Generated Node #0,1,1: 88:[76, 31] Operation: 62/2=31
Exploring Operation: 76-62=14, Resulting Numbers: [2, 14]
Generated Node #0,1,2: 88:[2, 14] Operation: 76-62=14
Moving to Node #0,1,2
Current State: 88:[2, 14], Operations: ['68/34=2', '76-62=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[8, 28], Operations: ['76-68=8', '62-34=28']
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,88 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[8, 96], Operations: ['76-68=8', '62+34=96']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Exploring Operation: 8+96=104, Resulting Numbers: [104]
104,88 unequal: No Solution
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[62, 34, 68, 76], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [62, 34, 8]
Generated Node #0,2: 88:[62, 34, 8] Operation: 76-68=8
Moving to Node #0,2
Current State: 88:[62, 34, 8], Operations: ['76-68=8']
Exploring Operation: 62+34=96, Resulting Numbers: [8, 96]
Generated Node #0,2,1: 88:[8, 96] Operation: 62+34=96
Moving to Node #0,2,1
Current State: 88:[8, 96], Operations: ['76-68=8', '62+34=96']
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.970486 | hs_3 | mult_heuristic |
[
44,
73,
54,
75
] | 96 | [
"44+73=117",
"75-54=21",
"117-21=96"
] | Current State: 96:[44, 73, 54, 75], Operations: []
Exploring Operation: 44+73=117, Resulting Numbers: [54, 75, 117]
Generated Node #2: [54, 75, 117] from Operation: 44+73=117
Current State: 96:[54, 75, 117], Operations: ['44+73=117']
Exploring Operation: 75-54=21, Resulting Numbers: [117, 21]
Generated Node #3: [117, 21] from Operation: 75-54=21
Current State: 96:[117, 21], Operations: ['44+73=117', '75-54=21']
Exploring Operation: 117-21=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[44, 73, 54, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [44, 54, 2]
Generated Node #0,0: 96:[44, 54, 2] Operation: 75-73=2
Exploring Operation: 73-44=29, Resulting Numbers: [54, 75, 29]
Generated Node #0,1: 96:[54, 75, 29] Operation: 73-44=29
Exploring Operation: 73-54=19, Resulting Numbers: [44, 75, 19]
Generated Node #0,2: 96:[44, 75, 19] Operation: 73-54=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[44, 54, 2], Operations: ['75-73=2']
Exploring Operation: 54/2=27, Resulting Numbers: [44, 27]
Generated Node #0,0,0: 96:[44, 27] Operation: 54/2=27
Exploring Operation: 54-44=10, Resulting Numbers: [2, 10]
Generated Node #0,0,1: 96:[2, 10] Operation: 54-44=10
Exploring Operation: 44+54=98, Resulting Numbers: [2, 98]
Generated Node #0,0,2: 96:[2, 98] Operation: 44+54=98
Moving to Node #0,0,1
Current State: 96:[2, 10], Operations: ['75-73=2', '54-44=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[2, 98], Operations: ['75-73=2', '44+54=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[44, 73, 54, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [44, 54, 2]
Generated Node #0,0: 96:[44, 54, 2] Operation: 75-73=2
Moving to Node #0,0
Current State: 96:[44, 54, 2], Operations: ['75-73=2']
Exploring Operation: 44+54=98, Resulting Numbers: [2, 98]
Generated Node #0,0,2: 96:[2, 98] Operation: 44+54=98
Moving to Node #0,0,2
Current State: 96:[2, 98], Operations: ['75-73=2', '44+54=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
14,
74,
72,
31
] | 76 | [
"74-72=2",
"31*2=62",
"14+62=76"
] | Current State: 76:[14, 74, 72, 31], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [14, 31, 2]
Generated Node #2: [14, 31, 2] from Operation: 74-72=2
Current State: 76:[14, 31, 2], Operations: ['74-72=2']
Exploring Operation: 31*2=62, Resulting Numbers: [14, 62]
Generated Node #3: [14, 62] from Operation: 31*2=62
Current State: 76:[14, 62], Operations: ['74-72=2', '31*2=62']
Exploring Operation: 14+62=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[14, 74, 72, 31], Operations: []
Exploring Operation: 14+31=45, Resulting Numbers: [74, 72, 45]
Generated Node #0,0: 76:[74, 72, 45] Operation: 14+31=45
Exploring Operation: 31-14=17, Resulting Numbers: [74, 72, 17]
Generated Node #0,1: 76:[74, 72, 17] Operation: 31-14=17
Exploring Operation: 72-31=41, Resulting Numbers: [14, 74, 41]
Generated Node #0,2: 76:[14, 74, 41] Operation: 72-31=41
Exploring Operation: 74-72=2, Resulting Numbers: [14, 31, 2]
Generated Node #0,3: 76:[14, 31, 2] Operation: 74-72=2
Moving to Node #0,1
Current State: 76:[74, 72, 17], Operations: ['31-14=17']
Exploring Operation: 74-72=2, Resulting Numbers: [17, 2]
Generated Node #0,1,0: 76:[17, 2] Operation: 74-72=2
Exploring Operation: 72-17=55, Resulting Numbers: [74, 55]
Generated Node #0,1,1: 76:[74, 55] Operation: 72-17=55
Exploring Operation: 72+17=89, Resulting Numbers: [74, 89]
Generated Node #0,1,2: 76:[74, 89] Operation: 72+17=89
Exploring Operation: 74+17=91, Resulting Numbers: [72, 91]
Generated Node #0,1,3: 76:[72, 91] Operation: 74+17=91
Moving to Node #0,2
Current State: 76:[14, 74, 41], Operations: ['72-31=41']
Exploring Operation: 41-14=27, Resulting Numbers: [74, 27]
Generated Node #0,2,0: 76:[74, 27] Operation: 41-14=27
Exploring Operation: 74-41=33, Resulting Numbers: [14, 33]
Generated Node #0,2,1: 76:[14, 33] Operation: 74-41=33
Exploring Operation: 74-14=60, Resulting Numbers: [41, 60]
Generated Node #0,2,2: 76:[41, 60] Operation: 74-14=60
Exploring Operation: 14+74=88, Resulting Numbers: [41, 88]
Generated Node #0,2,3: 76:[41, 88] Operation: 14+74=88
Moving to Node #0,3
Current State: 76:[14, 31, 2], Operations: ['74-72=2']
Exploring Operation: 31-14=17, Resulting Numbers: [2, 17]
Generated Node #0,3,0: 76:[2, 17] Operation: 31-14=17
Exploring Operation: 14+2=16, Resulting Numbers: [31, 16]
Generated Node #0,3,1: 76:[31, 16] Operation: 14+2=16
Exploring Operation: 14/2=7, Resulting Numbers: [31, 7]
Generated Node #0,3,2: 76:[31, 7] Operation: 14/2=7
Exploring Operation: 14+31=45, Resulting Numbers: [2, 45]
Generated Node #0,3,3: 76:[2, 45] Operation: 14+31=45
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 76:[2, 17], Operations: ['74-72=2', '31-14=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 76:[2, 45], Operations: ['74-72=2', '14+31=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[31, 16], Operations: ['74-72=2', '14+2=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,76 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 76:[31, 7], Operations: ['74-72=2', '14/2=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,76 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: 76:[74, 72, 45], Operations: ['14+31=45']
Exploring Operation: 72+45=117, Resulting Numbers: [74, 117]
Generated Node #0,0,0: 76:[74, 117] Operation: 72+45=117
Exploring Operation: 74-45=29, Resulting Numbers: [72, 29]
Generated Node #0,0,1: 76:[72, 29] Operation: 74-45=29
Exploring Operation: 72-45=27, Resulting Numbers: [74, 27]
Generated Node #0,0,2: 76:[74, 27] Operation: 72-45=27
Exploring Operation: 74-72=2, Resulting Numbers: [45, 2]
Generated Node #0,0,3: 76:[45, 2] Operation: 74-72=2
Moving to Node #0,1,0
Current State: 76:[17, 2], Operations: ['31-14=17', '74-72=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[45, 2], Operations: ['14+31=45', '74-72=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[14, 33], Operations: ['72-31=41', '74-41=33']
Exploring Operation: 14*33=462, Resulting Numbers: [462]
462,76 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[74, 27], Operations: ['14+31=45', '72-45=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,76 unequal: No Solution
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[74, 27], Operations: ['72-31=41', '41-14=27']
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,76 unequal: No Solution
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[72, 29], Operations: ['14+31=45', '74-45=29']
Exploring Operation: 72*29=2088, Resulting Numbers: [2088]
2088,76 unequal: No Solution
Exploring Operation: 72+29=101, Resulting Numbers: [101]
101,76 unequal: No Solution
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[41, 88], Operations: ['72-31=41', '14+74=88']
Exploring Operation: 41*88=3608, Resulting Numbers: [3608]
3608,76 unequal: No Solution
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 41+88=129, Resulting Numbers: [129]
129,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[74, 89], Operations: ['31-14=17', '72+17=89']
Exploring Operation: 74+89=163, Resulting Numbers: [163]
163,76 unequal: No Solution
Exploring Operation: 74*89=6586, Resulting Numbers: [6586]
6586,76 unequal: No Solution
Exploring Operation: 89-74=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[74, 55], Operations: ['31-14=17', '72-17=55']
Exploring Operation: 74+55=129, Resulting Numbers: [129]
129,76 unequal: No Solution
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 74*55=4070, Resulting Numbers: [4070]
4070,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[72, 91], Operations: ['31-14=17', '74+17=91']
Exploring Operation: 91-72=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 72+91=163, Resulting Numbers: [163]
163,76 unequal: No Solution
Exploring Operation: 72*91=6552, Resulting Numbers: [6552]
6552,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[41, 60], Operations: ['72-31=41', '74-14=60']
Exploring Operation: 41*60=2460, Resulting Numbers: [2460]
2460,76 unequal: No Solution
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 41+60=101, Resulting Numbers: [101]
101,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[74, 117], Operations: ['14+31=45', '72+45=117']
Exploring Operation: 74*117=8658, Resulting Numbers: [8658]
8658,76 unequal: No Solution
Exploring Operation: 74+117=191, Resulting Numbers: [191]
191,76 unequal: No Solution
Exploring Operation: 117-74=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
24,
17,
32,
72
] | 81 | [
"24+17=41",
"72-32=40",
"41+40=81"
] | Current State: 81:[24, 17, 32, 72], Operations: []
Exploring Operation: 24+17=41, Resulting Numbers: [32, 72, 41]
Generated Node #2: [32, 72, 41] from Operation: 24+17=41
Current State: 81:[32, 72, 41], Operations: ['24+17=41']
Exploring Operation: 72-32=40, Resulting Numbers: [41, 40]
Generated Node #3: [41, 40] from Operation: 72-32=40
Current State: 81:[41, 40], Operations: ['24+17=41', '72-32=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[24, 17, 32, 72], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [17, 32, 3]
Generated Node #0,0: 81:[17, 32, 3] Operation: 72/24=3
Exploring Operation: 24-17=7, Resulting Numbers: [32, 72, 7]
Generated Node #0,1: 81:[32, 72, 7] Operation: 24-17=7
Exploring Operation: 17+72=89, Resulting Numbers: [24, 32, 89]
Generated Node #0,2: 81:[24, 32, 89] Operation: 17+72=89
Moving to Node #0,0
Current State: 81:[17, 32, 3], Operations: ['72/24=3']
Exploring Operation: 17-3=14, Resulting Numbers: [32, 14]
Generated Node #0,0,0: 81:[32, 14] Operation: 17-3=14
Exploring Operation: 32-17=15, Resulting Numbers: [3, 15]
Generated Node #0,0,1: 81:[3, 15] Operation: 32-17=15
Exploring Operation: 32-3=29, Resulting Numbers: [17, 29]
Generated Node #0,0,2: 81:[17, 29] Operation: 32-3=29
Moving to Node #0,1
Current State: 81:[32, 72, 7], Operations: ['24-17=7']
Exploring Operation: 32-7=25, Resulting Numbers: [72, 25]
Generated Node #0,1,0: 81:[72, 25] Operation: 32-7=25
Exploring Operation: 72-32=40, Resulting Numbers: [7, 40]
Generated Node #0,1,1: 81:[7, 40] Operation: 72-32=40
Exploring Operation: 72+7=79, Resulting Numbers: [32, 79]
Generated Node #0,1,2: 81:[32, 79] Operation: 72+7=79
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[32, 79], Operations: ['24-17=7', '72+7=79']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,81 unequal: No Solution
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,81 unequal: No Solution
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[72, 25], Operations: ['24-17=7', '32-7=25']
Exploring Operation: 72+25=97, Resulting Numbers: [97]
97,81 unequal: No Solution
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,81 unequal: No Solution
Exploring Operation: 72*25=1800, Resulting Numbers: [1800]
1800,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[7, 40], Operations: ['24-17=7', '72-32=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,81 unequal: No Solution
Exploring Operation: 7*40=280, Resulting Numbers: [280]
280,81 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: 81:[24, 32, 89], Operations: ['17+72=89']
Exploring Operation: 32-24=8, Resulting Numbers: [89, 8]
Generated Node #0,2,0: 81:[89, 8] Operation: 32-24=8
Exploring Operation: 89-32=57, Resulting Numbers: [24, 57]
Generated Node #0,2,1: 81:[24, 57] Operation: 89-32=57
Exploring Operation: 89-24=65, Resulting Numbers: [32, 65]
Generated Node #0,2,2: 81:[32, 65] Operation: 89-24=65
Moving to Node #0,0,1
Current State: 81:[3, 15], Operations: ['72/24=3', '32-17=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[89, 8], Operations: ['17+72=89', '32-24=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[24, 17, 32, 72], Operations: []
Exploring Operation: 17+72=89, Resulting Numbers: [24, 32, 89]
Generated Node #0,2: 81:[24, 32, 89] Operation: 17+72=89
Moving to Node #0,2
Current State: 81:[24, 32, 89], Operations: ['17+72=89']
Exploring Operation: 32-24=8, Resulting Numbers: [89, 8]
Generated Node #0,2,0: 81:[89, 8] Operation: 32-24=8
Moving to Node #0,2,0
Current State: 81:[89, 8], Operations: ['17+72=89', '32-24=8']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.974826 | hs_3 | sum_heuristic |
[
18,
5,
67,
90
] | 73 | [
"18+67=85",
"85/5=17",
"90-17=73"
] | Current State: 73:[18, 5, 67, 90], Operations: []
Exploring Operation: 18+67=85, Resulting Numbers: [5, 90, 85]
Generated Node #2: [5, 90, 85] from Operation: 18+67=85
Current State: 73:[5, 90, 85], Operations: ['18+67=85']
Exploring Operation: 85/5=17, Resulting Numbers: [90, 17]
Generated Node #3: [90, 17] from Operation: 85/5=17
Current State: 73:[90, 17], Operations: ['18+67=85', '85/5=17']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[18, 5, 67, 90], Operations: []
Exploring Operation: 18+5=23, Resulting Numbers: [67, 90, 23]
Generated Node #0,0: 73:[67, 90, 23] Operation: 18+5=23
Exploring Operation: 5+67=72, Resulting Numbers: [18, 90, 72]
Generated Node #0,1: 73:[18, 90, 72] Operation: 5+67=72
Exploring Operation: 18*5=90, Resulting Numbers: [67, 90, 90]
Generated Node #0,2: 73:[67, 90, 90] Operation: 18*5=90
Moving to Node #0,2
Current State: 73:[67, 90, 90], Operations: ['18*5=90']
Exploring Operation: 90/90=1, Resulting Numbers: [67, 1]
Generated Node #0,2,0: 73:[67, 1] Operation: 90/90=1
Exploring Operation: 90-67=23, Resulting Numbers: [90, 23]
Generated Node #0,2,1: 73:[90, 23] Operation: 90-67=23
Exploring Operation: 90-67=23, Resulting Numbers: [90, 23]
Generated Node #0,2,2: 73:[90, 23] Operation: 90-67=23
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[90, 23], Operations: ['18*5=90', '90-67=23']
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,73 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,73 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[90, 23], Operations: ['18*5=90', '90-67=23']
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,73 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,73 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[67, 1], Operations: ['18*5=90', '90/90=1']
Exploring Operation: 67/1=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 67+1=68, Resulting Numbers: [68]
68,73 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: 73:[67, 90, 23], Operations: ['18+5=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67, 67]
Generated Node #0,0,0: 73:[67, 67] Operation: 90-23=67
Exploring Operation: 67+23=90, Resulting Numbers: [90, 90]
Generated Node #0,0,1: 73:[90, 90] Operation: 67+23=90
Exploring Operation: 67-23=44, Resulting Numbers: [90, 44]
Generated Node #0,0,2: 73:[90, 44] Operation: 67-23=44
Moving to Node #0,1
Current State: 73:[18, 90, 72], Operations: ['5+67=72']
Exploring Operation: 18+90=108, Resulting Numbers: [72, 108]
Generated Node #0,1,0: 73:[72, 108] Operation: 18+90=108
Exploring Operation: 18+72=90, Resulting Numbers: [90, 90]
Generated Node #0,1,1: 73:[90, 90] Operation: 18+72=90
Exploring Operation: 90-18=72, Resulting Numbers: [72, 72]
Generated Node #0,1,2: 73:[72, 72] Operation: 90-18=72
Moving to Node #0,1,2
Current State: 73:[72, 72], Operations: ['5+67=72', '90-18=72']
Exploring Operation: 72+72=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 72/72=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 72-72=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[67, 67], Operations: ['18+5=23', '90-23=67']
Exploring Operation: 67-67=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 67/67=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 67+67=134, Resulting Numbers: [134]
134,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[90, 90], Operations: ['5+67=72', '18+72=90']
Exploring Operation: 90-90=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 90/90=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 90+90=180, Resulting Numbers: [180]
180,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[90, 90], Operations: ['18+5=23', '67+23=90']
Exploring Operation: 90/90=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 90-90=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 90+90=180, Resulting Numbers: [180]
180,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[72, 108], Operations: ['5+67=72', '18+90=108']
Exploring Operation: 72*108=7776, Resulting Numbers: [7776]
7776,73 unequal: No Solution
Exploring Operation: 72+108=180, Resulting Numbers: [180]
180,73 unequal: No Solution
Exploring Operation: 108-72=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[90, 44], Operations: ['18+5=23', '67-23=44']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 90+44=134, Resulting Numbers: [134]
134,73 unequal: No Solution
Exploring Operation: 90*44=3960, Resulting Numbers: [3960]
3960,73 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
4,
91,
86,
90
] | 82 | [
"86-4=82",
"91-90=1",
"82*1=82"
] | Current State: 82:[4, 91, 86, 90], Operations: []
Exploring Operation: 86-4=82, Resulting Numbers: [91, 90, 82]
Generated Node #2: [91, 90, 82] from Operation: 86-4=82
Current State: 82:[91, 90, 82], Operations: ['86-4=82']
Exploring Operation: 91-90=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 91-90=1
Current State: 82:[82, 1], Operations: ['86-4=82', '91-90=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[4, 91, 86, 90], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [4, 86, 1]
Generated Node #0,0: 82:[4, 86, 1] Operation: 91-90=1
Exploring Operation: 91-4=87, Resulting Numbers: [86, 90, 87]
Generated Node #0,1: 82:[86, 90, 87] Operation: 91-4=87
Exploring Operation: 90-86=4, Resulting Numbers: [4, 91, 4]
Generated Node #0,2: 82:[4, 91, 4] Operation: 90-86=4
Exploring Operation: 91-86=5, Resulting Numbers: [4, 90, 5]
Generated Node #0,3: 82:[4, 90, 5] Operation: 91-86=5
Moving to Node #0,0
Current State: 82:[4, 86, 1], Operations: ['91-90=1']
Exploring Operation: 86-4=82, Resulting Numbers: [1, 82]
Generated Node #0,0,0: 82:[1, 82] Operation: 86-4=82
Exploring Operation: 86-1=85, Resulting Numbers: [4, 85]
Generated Node #0,0,1: 82:[4, 85] Operation: 86-1=85
Exploring Operation: 4-1=3, Resulting Numbers: [86, 3]
Generated Node #0,0,2: 82:[86, 3] Operation: 4-1=3
Exploring Operation: 4*1=4, Resulting Numbers: [86, 4]
Generated Node #0,0,3: 82:[86, 4] Operation: 4*1=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[1, 82], Operations: ['91-90=1', '86-4=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[4, 91, 86, 90], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [4, 86, 1]
Generated Node #0,0: 82:[4, 86, 1] Operation: 91-90=1
Moving to Node #0,0
Current State: 82:[4, 86, 1], Operations: ['91-90=1']
Exploring Operation: 86-4=82, Resulting Numbers: [1, 82]
Generated Node #0,0,0: 82:[1, 82] Operation: 86-4=82
Moving to Node #0,0,0
Current State: 82:[1, 82], Operations: ['91-90=1', '86-4=82']
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
35,
9,
28,
56
] | 17 | [
"35-28=7",
"56/7=8",
"9+8=17"
] | Current State: 17:[35, 9, 28, 56], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [9, 56, 7]
Generated Node #2: [9, 56, 7] from Operation: 35-28=7
Current State: 17:[9, 56, 7], Operations: ['35-28=7']
Exploring Operation: 56/7=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 56/7=8
Current State: 17:[9, 8], Operations: ['35-28=7', '56/7=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[35, 9, 28, 56], Operations: []
Exploring Operation: 56-28=28, Resulting Numbers: [35, 9, 28]
Generated Node #0,0: 17:[35, 9, 28] Operation: 56-28=28
Exploring Operation: 56/28=2, Resulting Numbers: [35, 9, 2]
Generated Node #0,1: 17:[35, 9, 2] Operation: 56/28=2
Exploring Operation: 56-35=21, Resulting Numbers: [9, 28, 21]
Generated Node #0,2: 17:[9, 28, 21] Operation: 56-35=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[9, 28, 21], Operations: ['56-35=21']
Exploring Operation: 21-9=12, Resulting Numbers: [28, 12]
Generated Node #0,2,0: 17:[28, 12] Operation: 21-9=12
Exploring Operation: 28-21=7, Resulting Numbers: [9, 7]
Generated Node #0,2,1: 17:[9, 7] Operation: 28-21=7
Exploring Operation: 28-9=19, Resulting Numbers: [21, 19]
Generated Node #0,2,2: 17:[21, 19] Operation: 28-9=19
Moving to Node #0,2,2
Current State: 17:[21, 19], Operations: ['56-35=21', '28-9=19']
Exploring Operation: 21*19=399, Resulting Numbers: [399]
399,17 unequal: No Solution
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[28, 12], Operations: ['56-35=21', '21-9=12']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 28*12=336, Resulting Numbers: [336]
336,17 unequal: No Solution
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[9, 7], Operations: ['56-35=21', '28-21=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[35, 9, 28], Operations: ['56-28=28']
Exploring Operation: 35-9=26, Resulting Numbers: [28, 26]
Generated Node #0,0,0: 17:[28, 26] Operation: 35-9=26
Exploring Operation: 35-28=7, Resulting Numbers: [9, 7]
Generated Node #0,0,1: 17:[9, 7] Operation: 35-28=7
Exploring Operation: 28-9=19, Resulting Numbers: [35, 19]
Generated Node #0,0,2: 17:[35, 19] Operation: 28-9=19
Moving to Node #0,0,1
Current State: 17:[9, 7], Operations: ['56-28=28', '35-28=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,17 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[28, 26], Operations: ['56-28=28', '35-9=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,17 unequal: No Solution
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[35, 19], Operations: ['56-28=28', '28-9=19']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,17 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[35, 9, 2], Operations: ['56/28=2']
Exploring Operation: 9*2=18, Resulting Numbers: [35, 18]
Generated Node #0,1,0: 17:[35, 18] Operation: 9*2=18
Exploring Operation: 35-9=26, Resulting Numbers: [2, 26]
Generated Node #0,1,1: 17:[2, 26] Operation: 35-9=26
Exploring Operation: 35-2=33, Resulting Numbers: [9, 33]
Generated Node #0,1,2: 17:[9, 33] Operation: 35-2=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 17:[35, 18], Operations: ['56/28=2', '9*2=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,17 unequal: No Solution
Exploring Operation: 35*18=630, Resulting Numbers: [630]
630,17 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[35, 9, 28, 56], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [35, 9, 2]
Generated Node #0,1: 17:[35, 9, 2] Operation: 56/28=2
Moving to Node #0,1
Current State: 17:[35, 9, 2], Operations: ['56/28=2']
Exploring Operation: 9*2=18, Resulting Numbers: [35, 18]
Generated Node #0,1,0: 17:[35, 18] Operation: 9*2=18
Moving to Node #0,1,0
Current State: 17:[35, 18], Operations: ['56/28=2', '9*2=18']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_3 | sum_heuristic |
[
56,
5,
81,
81
] | 11 | [
"81/81=1",
"56-1=55",
"55/5=11"
] | Current State: 11:[56, 5, 81, 81], Operations: []
Exploring Operation: 81/81=1, Resulting Numbers: [56, 5, 1]
Generated Node #2: [56, 5, 1] from Operation: 81/81=1
Current State: 11:[56, 5, 1], Operations: ['81/81=1']
Exploring Operation: 56-1=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 56-1=55
Current State: 11:[5, 55], Operations: ['81/81=1', '56-1=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[56, 5, 81, 81], Operations: []
Exploring Operation: 81-81=0, Resulting Numbers: [56, 5, 0]
Generated Node #0,0: 11:[56, 5, 0] Operation: 81-81=0
Exploring Operation: 81/81=1, Resulting Numbers: [56, 5, 1]
Generated Node #0,1: 11:[56, 5, 1] Operation: 81/81=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[56, 5, 1], Operations: ['81/81=1']
Exploring Operation: 56-5=51, Resulting Numbers: [1, 51]
Generated Node #0,1,0: 11:[1, 51] Operation: 56-5=51
Exploring Operation: 56-1=55, Resulting Numbers: [5, 55]
Generated Node #0,1,1: 11:[5, 55] Operation: 56-1=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[1, 51], Operations: ['81/81=1', '56-5=51']
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 51-1=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 #0,1,1
Current State: 11:[5, 55], Operations: ['81/81=1', '56-1=55']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[56, 5, 81, 81], Operations: []
Exploring Operation: 81/81=1, Resulting Numbers: [56, 5, 1]
Generated Node #0,1: 11:[56, 5, 1] Operation: 81/81=1
Moving to Node #0,1
Current State: 11:[56, 5, 1], Operations: ['81/81=1']
Exploring Operation: 56-1=55, Resulting Numbers: [5, 55]
Generated Node #0,1,1: 11:[5, 55] Operation: 56-1=55
Moving to Node #0,1,1
Current State: 11:[5, 55], Operations: ['81/81=1', '56-1=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
57,
44,
6,
38
] | 19 | [
"57-44=13",
"38-6=32",
"32-13=19"
] | Current State: 19:[57, 44, 6, 38], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [6, 38, 13]
Generated Node #2: [6, 38, 13] from Operation: 57-44=13
Current State: 19:[6, 38, 13], Operations: ['57-44=13']
Exploring Operation: 38-6=32, Resulting Numbers: [13, 32]
Generated Node #3: [13, 32] from Operation: 38-6=32
Current State: 19:[13, 32], Operations: ['57-44=13', '38-6=32']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[57, 44, 6, 38], Operations: []
Exploring Operation: 44-38=6, Resulting Numbers: [57, 6, 6]
Generated Node #0,0: 19:[57, 6, 6] Operation: 44-38=6
Exploring Operation: 57-38=19, Resulting Numbers: [44, 6, 19]
Generated Node #0,1: 19:[44, 6, 19] Operation: 57-38=19
Exploring Operation: 57-6=51, Resulting Numbers: [44, 38, 51]
Generated Node #0,2: 19:[44, 38, 51] Operation: 57-6=51
Exploring Operation: 57-44=13, Resulting Numbers: [6, 38, 13]
Generated Node #0,3: 19:[6, 38, 13] Operation: 57-44=13
Moving to Node #0,1
Current State: 19:[44, 6, 19], Operations: ['57-38=19']
Exploring Operation: 44-6=38, Resulting Numbers: [19, 38]
Generated Node #0,1,0: 19:[19, 38] Operation: 44-6=38
Exploring Operation: 6+19=25, Resulting Numbers: [44, 25]
Generated Node #0,1,1: 19:[44, 25] Operation: 6+19=25
Exploring Operation: 44-19=25, Resulting Numbers: [6, 25]
Generated Node #0,1,2: 19:[6, 25] Operation: 44-19=25
Exploring Operation: 44+6=50, Resulting Numbers: [19, 50]
Generated Node #0,1,3: 19:[19, 50] Operation: 44+6=50
Moving to Node #0,3
Current State: 19:[6, 38, 13], Operations: ['57-44=13']
Exploring Operation: 6+13=19, Resulting Numbers: [38, 19]
Generated Node #0,3,0: 19:[38, 19] Operation: 6+13=19
Exploring Operation: 38-13=25, Resulting Numbers: [6, 25]
Generated Node #0,3,1: 19:[6, 25] Operation: 38-13=25
Exploring Operation: 6+38=44, Resulting Numbers: [13, 44]
Generated Node #0,3,2: 19:[13, 44] Operation: 6+38=44
Exploring Operation: 38-6=32, Resulting Numbers: [13, 32]
Generated Node #0,3,3: 19:[13, 32] Operation: 38-6=32
Moving to Node #0,0
Current State: 19:[57, 6, 6], Operations: ['44-38=6']
Exploring Operation: 57-6=51, Resulting Numbers: [6, 51]
Generated Node #0,0,0: 19:[6, 51] Operation: 57-6=51
Exploring Operation: 6*6=36, Resulting Numbers: [57, 36]
Generated Node #0,0,1: 19:[57, 36] Operation: 6*6=36
Exploring Operation: 6+6=12, Resulting Numbers: [57, 12]
Generated Node #0,0,2: 19:[57, 12] Operation: 6+6=12
Exploring Operation: 57-6=51, Resulting Numbers: [6, 51]
Generated Node #0,0,3: 19:[6, 51] Operation: 57-6=51
Moving to Node #0,2
Current State: 19:[44, 38, 51], Operations: ['57-6=51']
Exploring Operation: 44-38=6, Resulting Numbers: [51, 6]
Generated Node #0,2,0: 19:[51, 6] Operation: 44-38=6
Exploring Operation: 44+38=82, Resulting Numbers: [51, 82]
Generated Node #0,2,1: 19:[51, 82] Operation: 44+38=82
Exploring Operation: 51-44=7, Resulting Numbers: [38, 7]
Generated Node #0,2,2: 19:[38, 7] Operation: 51-44=7
Exploring Operation: 51-38=13, Resulting Numbers: [44, 13]
Generated Node #0,2,3: 19:[44, 13] Operation: 51-38=13
Moving to Node #0,1,0
Current State: 19:[19, 38], Operations: ['57-38=19', '44-6=38']
Exploring Operation: 19*38=722, Resulting Numbers: [722]
722,19 unequal: No Solution
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,19 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[57, 44, 6, 38], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [44, 6, 19]
Generated Node #0,1: 19:[44, 6, 19] Operation: 57-38=19
Moving to Node #0,1
Current State: 19:[44, 6, 19], Operations: ['57-38=19']
Exploring Operation: 44-6=38, Resulting Numbers: [19, 38]
Generated Node #0,1,0: 19:[19, 38] Operation: 44-6=38
Moving to Node #0,1,0
Current State: 19:[19, 38], Operations: ['57-38=19', '44-6=38']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.975694 | hs_4 | mult_heuristic |
[
26,
52,
16,
56
] | 14 | [
"52-26=26",
"56-16=40",
"40-26=14"
] | Current State: 14:[26, 52, 16, 56], Operations: []
Exploring Operation: 52-26=26, Resulting Numbers: [16, 56, 26]
Generated Node #2: [16, 56, 26] from Operation: 52-26=26
Current State: 14:[16, 56, 26], Operations: ['52-26=26']
Exploring Operation: 56-16=40, Resulting Numbers: [26, 40]
Generated Node #3: [26, 40] from Operation: 56-16=40
Current State: 14:[26, 40], Operations: ['52-26=26', '56-16=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[26, 52, 16, 56], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [26, 16, 4]
Generated Node #0,0: 14:[26, 16, 4] Operation: 56-52=4
Exploring Operation: 52-26=26, Resulting Numbers: [16, 56, 26]
Generated Node #0,1: 14:[16, 56, 26] Operation: 52-26=26
Exploring Operation: 52/26=2, Resulting Numbers: [16, 56, 2]
Generated Node #0,2: 14:[16, 56, 2] Operation: 52/26=2
Moving to Node #0,0
Current State: 14:[26, 16, 4], Operations: ['56-52=4']
Exploring Operation: 26-4=22, Resulting Numbers: [16, 22]
Generated Node #0,0,0: 14:[16, 22] Operation: 26-4=22
Exploring Operation: 26-16=10, Resulting Numbers: [4, 10]
Generated Node #0,0,1: 14:[4, 10] Operation: 26-16=10
Exploring Operation: 16-4=12, Resulting Numbers: [26, 12]
Generated Node #0,0,2: 14:[26, 12] Operation: 16-4=12
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[4, 10], Operations: ['56-52=4', '26-16=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,14 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[26, 52, 16, 56], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [26, 16, 4]
Generated Node #0,0: 14:[26, 16, 4] Operation: 56-52=4
Moving to Node #0,0
Current State: 14:[26, 16, 4], Operations: ['56-52=4']
Exploring Operation: 26-16=10, Resulting Numbers: [4, 10]
Generated Node #0,0,1: 14:[4, 10] Operation: 26-16=10
Moving to Node #0,0,1
Current State: 14:[4, 10], Operations: ['56-52=4', '26-16=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
12,
6,
15,
12
] | 30 | [
"12-6=6",
"15*12=180",
"180/6=30"
] | Current State: 30:[12, 6, 15, 12], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [15, 6]
Generated Node #2: [15, 6] from Operation: 12-6=6
Current State: 30:[15, 6], Operations: ['12-6=6']
Exploring Operation: 15*12=180, Resulting Numbers: [6, 180]
Generated Node #3: [6, 180] from Operation: 15*12=180
Current State: 30:[6, 180], Operations: ['12-6=6', '15*12=180']
Exploring Operation: 180/6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[12, 6, 15, 12], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [15, 12, 6]
Generated Node #0,0: 30:[15, 12, 6] Operation: 12-6=6
Exploring Operation: 12-12=0, Resulting Numbers: [6, 15, 0]
Generated Node #0,1: 30:[6, 15, 0] Operation: 12-12=0
Exploring Operation: 12/12=1, Resulting Numbers: [6, 15, 1]
Generated Node #0,2: 30:[6, 15, 1] Operation: 12/12=1
Exploring Operation: 15-12=3, Resulting Numbers: [6, 12, 3]
Generated Node #0,3: 30:[6, 12, 3] Operation: 15-12=3
Exploring Operation: 12/6=2, Resulting Numbers: [15, 12, 2]
Generated Node #0,4: 30:[15, 12, 2] Operation: 12/6=2
Moving to Node #0,2
Current State: 30:[6, 15, 1], Operations: ['12/12=1']
Exploring Operation: 6/1=6, Resulting Numbers: [15, 6]
Generated Node #0,2,0: 30:[15, 6] Operation: 6/1=6
Exploring Operation: 15*1=15, Resulting Numbers: [6, 15]
Generated Node #0,2,1: 30:[6, 15] Operation: 15*1=15
Exploring Operation: 15/1=15, Resulting Numbers: [6, 15]
Generated Node #0,2,2: 30:[6, 15] Operation: 15/1=15
Exploring Operation: 6*1=6, Resulting Numbers: [15, 6]
Generated Node #0,2,3: 30:[15, 6] Operation: 6*1=6
Exploring Operation: 6-1=5, Resulting Numbers: [15, 5]
Generated Node #0,2,4: 30:[15, 5] Operation: 6-1=5
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[15, 6], Operations: ['12/12=1', '6/1=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[6, 15], Operations: ['12/12=1', '15*1=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[6, 15], Operations: ['12/12=1', '15/1=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 30:[15, 6], Operations: ['12/12=1', '6*1=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 30:[15, 5], Operations: ['12/12=1', '6-1=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,30 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 30:[6, 15, 0], Operations: ['12-12=0']
Exploring Operation: 6*0=0, Resulting Numbers: [15, 0]
Generated Node #0,1,0: 30:[15, 0] Operation: 6*0=0
Exploring Operation: 6+0=6, Resulting Numbers: [15, 6]
Generated Node #0,1,1: 30:[15, 6] Operation: 6+0=6
Exploring Operation: 6-0=6, Resulting Numbers: [15, 6]
Generated Node #0,1,2: 30:[15, 6] Operation: 6-0=6
Exploring Operation: 15+0=15, Resulting Numbers: [6, 15]
Generated Node #0,1,3: 30:[6, 15] Operation: 15+0=15
Exploring Operation: 15-0=15, Resulting Numbers: [6, 15]
Generated Node #0,1,4: 30:[6, 15] Operation: 15-0=15
Moving to Node #0,4
Current State: 30:[15, 12, 2], Operations: ['12/6=2']
Exploring Operation: 12/2=6, Resulting Numbers: [15, 6]
Generated Node #0,4,0: 30:[15, 6] Operation: 12/2=6
Exploring Operation: 12+2=14, Resulting Numbers: [15, 14]
Generated Node #0,4,1: 30:[15, 14] Operation: 12+2=14
Exploring Operation: 15-12=3, Resulting Numbers: [2, 3]
Generated Node #0,4,2: 30:[2, 3] Operation: 15-12=3
Exploring Operation: 12-2=10, Resulting Numbers: [15, 10]
Generated Node #0,4,3: 30:[15, 10] Operation: 12-2=10
Exploring Operation: 15*2=30, Resulting Numbers: [12, 30]
Generated Node #0,4,4: 30:[12, 30] Operation: 15*2=30
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 30:[15, 6], Operations: ['12/6=2', '12/2=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 30:[2, 3], Operations: ['12/6=2', '15-12=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 30:[15, 10], Operations: ['12/6=2', '12-2=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 30:[15, 14], Operations: ['12/6=2', '12+2=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,30 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 30:[12, 30], Operations: ['12/6=2', '15*2=30']
Exploring Operation: 12*30=360, Resulting Numbers: [360]
360,30 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,30 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: 30:[15, 12, 6], Operations: ['12-6=6']
Exploring Operation: 15+12=27, Resulting Numbers: [6, 27]
Generated Node #0,0,0: 30:[6, 27] Operation: 15+12=27
Exploring Operation: 12/6=2, Resulting Numbers: [15, 2]
Generated Node #0,0,1: 30:[15, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [15, 6]
Generated Node #0,0,2: 30:[15, 6] Operation: 12-6=6
Exploring Operation: 15-6=9, Resulting Numbers: [12, 9]
Generated Node #0,0,3: 30:[12, 9] Operation: 15-6=9
Exploring Operation: 15-12=3, Resulting Numbers: [6, 3]
Generated Node #0,0,4: 30:[6, 3] Operation: 15-12=3
Moving to Node #0,3
Current State: 30:[6, 12, 3], Operations: ['15-12=3']
Exploring Operation: 12+3=15, Resulting Numbers: [6, 15]
Generated Node #0,3,0: 30:[6, 15] Operation: 12+3=15
Exploring Operation: 12-3=9, Resulting Numbers: [6, 9]
Generated Node #0,3,1: 30:[6, 9] Operation: 12-3=9
Exploring Operation: 12-6=6, Resulting Numbers: [3, 6]
Generated Node #0,3,2: 30:[3, 6] Operation: 12-6=6
Exploring Operation: 12/6=2, Resulting Numbers: [3, 2]
Generated Node #0,3,3: 30:[3, 2] Operation: 12/6=2
Exploring Operation: 12/3=4, Resulting Numbers: [6, 4]
Generated Node #0,3,4: 30:[6, 4] Operation: 12/3=4
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 30:[6, 15], Operations: ['15-12=3', '12+3=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 30:[3, 6], Operations: ['15-12=3', '12-6=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 30:[3, 2], Operations: ['15-12=3', '12/6=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 30:[6, 9], Operations: ['15-12=3', '12-3=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,30 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 30:[6, 4], Operations: ['15-12=3', '12/3=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 30:[15, 6], Operations: ['12-12=0', '6+0=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Moving to Node #0,1,3
Current State: 30:[6, 15], Operations: ['12-12=0', '15+0=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[15, 6], Operations: ['12-6=6', '12-6=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[15, 2], Operations: ['12-6=6', '12/6=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,30 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,30 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[12, 6, 15, 12], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [15, 12, 6]
Generated Node #0,0: 30:[15, 12, 6] Operation: 12-6=6
Moving to Node #0,0
Current State: 30:[15, 12, 6], Operations: ['12-6=6']
Exploring Operation: 12/6=2, Resulting Numbers: [15, 2]
Generated Node #0,0,1: 30:[15, 2] Operation: 12/6=2
Moving to Node #0,0,1
Current State: 30:[15, 2], Operations: ['12-6=6', '12/6=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.919271 | hs_5 | mult_heuristic |
[
33,
72,
36,
39
] | 60 | [
"33*72=2376",
"2376-36=2340",
"2340/39=60"
] | Current State: 60:[33, 72, 36, 39], Operations: []
Exploring Operation: 33*72=2376, Resulting Numbers: [36, 39, 2376]
Generated Node #2: [36, 39, 2376] from Operation: 33*72=2376
Current State: 60:[36, 39, 2376], Operations: ['33*72=2376']
Exploring Operation: 2376-36=2340, Resulting Numbers: [39, 2340]
Generated Node #3: [39, 2340] from Operation: 2376-36=2340
Current State: 60:[39, 2340], Operations: ['33*72=2376', '2376-36=2340']
Exploring Operation: 2340/39=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[33, 72, 36, 39], Operations: []
Exploring Operation: 72-39=33, Resulting Numbers: [33, 36, 33]
Generated Node #0,0: 60:[33, 36, 33] Operation: 72-39=33
Exploring Operation: 39-36=3, Resulting Numbers: [33, 72, 3]
Generated Node #0,1: 60:[33, 72, 3] Operation: 39-36=3
Exploring Operation: 72/36=2, Resulting Numbers: [33, 39, 2]
Generated Node #0,2: 60:[33, 39, 2] Operation: 72/36=2
Exploring Operation: 39-33=6, Resulting Numbers: [72, 36, 6]
Generated Node #0,3: 60:[72, 36, 6] Operation: 39-33=6
Exploring Operation: 72-36=36, Resulting Numbers: [33, 39, 36]
Generated Node #0,4: 60:[33, 39, 36] Operation: 72-36=36
Moving to Node #0,0
Current State: 60:[33, 36, 33], Operations: ['72-39=33']
Exploring Operation: 33/33=1, Resulting Numbers: [36, 1]
Generated Node #0,0,0: 60:[36, 1] Operation: 33/33=1
Exploring Operation: 33+36=69, Resulting Numbers: [33, 69]
Generated Node #0,0,1: 60:[33, 69] Operation: 33+36=69
Exploring Operation: 36-33=3, Resulting Numbers: [33, 3]
Generated Node #0,0,2: 60:[33, 3] Operation: 36-33=3
Exploring Operation: 36-33=3, Resulting Numbers: [33, 3]
Generated Node #0,0,3: 60:[33, 3] Operation: 36-33=3
Exploring Operation: 33-33=0, Resulting Numbers: [36, 0]
Generated Node #0,0,4: 60:[36, 0] Operation: 33-33=0
Moving to Node #0,2
Current State: 60:[33, 39, 2], Operations: ['72/36=2']
Exploring Operation: 39-33=6, Resulting Numbers: [2, 6]
Generated Node #0,2,0: 60:[2, 6] Operation: 39-33=6
Exploring Operation: 39-2=37, Resulting Numbers: [33, 37]
Generated Node #0,2,1: 60:[33, 37] Operation: 39-2=37
Exploring Operation: 33-2=31, Resulting Numbers: [39, 31]
Generated Node #0,2,2: 60:[39, 31] Operation: 33-2=31
Exploring Operation: 33+39=72, Resulting Numbers: [2, 72]
Generated Node #0,2,3: 60:[2, 72] Operation: 33+39=72
Exploring Operation: 33+2=35, Resulting Numbers: [39, 35]
Generated Node #0,2,4: 60:[39, 35] Operation: 33+2=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 60:[2, 6], Operations: ['72/36=2', '39-33=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 60:[33, 37], Operations: ['72/36=2', '39-2=37']
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[39, 31], Operations: ['72/36=2', '33-2=31']
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 39*31=1209, Resulting Numbers: [1209]
1209,60 unequal: No Solution
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 60:[2, 72], Operations: ['72/36=2', '33+39=72']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,60 unequal: No Solution
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 60:[39, 35], Operations: ['72/36=2', '33+2=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,60 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,60 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,60 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: 60:[33, 72, 3], Operations: ['39-36=3']
Exploring Operation: 72-3=69, Resulting Numbers: [33, 69]
Generated Node #0,1,0: 60:[33, 69] Operation: 72-3=69
Exploring Operation: 72/3=24, Resulting Numbers: [33, 24]
Generated Node #0,1,1: 60:[33, 24] Operation: 72/3=24
Exploring Operation: 33-3=30, Resulting Numbers: [72, 30]
Generated Node #0,1,2: 60:[72, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [72, 11]
Generated Node #0,1,3: 60:[72, 11] Operation: 33/3=11
Exploring Operation: 72-33=39, Resulting Numbers: [3, 39]
Generated Node #0,1,4: 60:[3, 39] Operation: 72-33=39
Moving to Node #0,3
Current State: 60:[72, 36, 6], Operations: ['39-33=6']
Exploring Operation: 72-6=66, Resulting Numbers: [36, 66]
Generated Node #0,3,0: 60:[36, 66] Operation: 72-6=66
Exploring Operation: 72/36=2, Resulting Numbers: [6, 2]
Generated Node #0,3,1: 60:[6, 2] Operation: 72/36=2
Exploring Operation: 72-36=36, Resulting Numbers: [6, 36]
Generated Node #0,3,2: 60:[6, 36] Operation: 72-36=36
Exploring Operation: 36-6=30, Resulting Numbers: [72, 30]
Generated Node #0,3,3: 60:[72, 30] Operation: 36-6=30
Exploring Operation: 72/6=12, Resulting Numbers: [36, 12]
Generated Node #0,3,4: 60:[36, 12] Operation: 72/6=12
Moving to Node #0,4
Current State: 60:[33, 39, 36], Operations: ['72-36=36']
Exploring Operation: 33+39=72, Resulting Numbers: [36, 72]
Generated Node #0,4,0: 60:[36, 72] Operation: 33+39=72
Exploring Operation: 39-36=3, Resulting Numbers: [33, 3]
Generated Node #0,4,1: 60:[33, 3] Operation: 39-36=3
Exploring Operation: 33+36=69, Resulting Numbers: [39, 69]
Generated Node #0,4,2: 60:[39, 69] Operation: 33+36=69
Exploring Operation: 39-33=6, Resulting Numbers: [36, 6]
Generated Node #0,4,3: 60:[36, 6] Operation: 39-33=6
Exploring Operation: 36-33=3, Resulting Numbers: [39, 3]
Generated Node #0,4,4: 60:[39, 3] Operation: 36-33=3
Moving to Node #0,3,1
Current State: 60:[6, 2], Operations: ['39-33=6', '72/36=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[33, 3], Operations: ['72-39=33', '36-33=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,60 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[33, 3], Operations: ['72-39=33', '36-33=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,60 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,4,1
Current State: 60:[33, 3], Operations: ['72-36=36', '39-36=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,60 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[6, 36], Operations: ['39-33=6', '72-36=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,60 unequal: No Solution
Moving to Node #0,3,4
Current State: 60:[36, 12], Operations: ['39-33=6', '72/6=12']
Exploring Operation: 36+12=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 36*12=432, Resulting Numbers: [432]
432,60 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Moving to Node #0,4,3
Current State: 60:[36, 6], Operations: ['72-36=36', '39-33=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,60 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[36, 1], Operations: ['72-39=33', '33/33=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[33, 24], Operations: ['39-36=3', '72/3=24']
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,60 unequal: No Solution
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,60 unequal: No Solution
Moving to Node #0,0,4
Current State: 60:[36, 0], Operations: ['72-39=33', '33-33=0']
Exploring Operation: 36+0=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 36*0=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 36-0=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Moving to Node #0,1,4
Current State: 60:[3, 39], Operations: ['39-36=3', '72-33=39']
Exploring Operation: 3*39=117, Resulting Numbers: [117]
117,60 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,4,4
Current State: 60:[39, 3], Operations: ['72-36=36', '36-33=3']
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,60 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[72, 30], Operations: ['39-36=3', '33-3=30']
Exploring Operation: 72*30=2160, Resulting Numbers: [2160]
2160,60 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 72+30=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[36, 66], Operations: ['39-33=6', '72-6=66']
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 36*66=2376, Resulting Numbers: [2376]
2376,60 unequal: No Solution
Exploring Operation: 36+66=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[33, 69], Operations: ['39-36=3', '72-3=69']
Exploring Operation: 33+69=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 33*69=2277, Resulting Numbers: [2277]
2277,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[33, 69], Operations: ['72-39=33', '33+36=69']
Exploring Operation: 33*69=2277, Resulting Numbers: [2277]
2277,60 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 33+69=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[72, 30], Operations: ['39-33=6', '36-6=30']
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 72*30=2160, Resulting Numbers: [2160]
2160,60 unequal: No Solution
Exploring Operation: 72+30=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[72, 11], Operations: ['39-36=3', '33/3=11']
Exploring Operation: 72*11=792, Resulting Numbers: [792]
792,60 unequal: No Solution
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,60 unequal: No Solution
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,60 unequal: No Solution
Moving to Node #0,4,0
Current State: 60:[36, 72], Operations: ['72-36=36', '33+39=72']
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 36*72=2592, Resulting Numbers: [2592]
2592,60 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 36+72=108, Resulting Numbers: [108]
108,60 unequal: No Solution
Moving to Node #0,4,2
Current State: 60:[39, 69], Operations: ['72-36=36', '33+36=69']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 39*69=2691, Resulting Numbers: [2691]
2691,60 unequal: No Solution
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,60 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
56,
42,
2,
20
] | 97 | [
"56+20=76",
"42/2=21",
"76+21=97"
] | Current State: 97:[56, 42, 2, 20], Operations: []
Exploring Operation: 56+20=76, Resulting Numbers: [42, 2, 76]
Generated Node #2: [42, 2, 76] from Operation: 56+20=76
Current State: 97:[42, 2, 76], Operations: ['56+20=76']
Exploring Operation: 42/2=21, Resulting Numbers: [76, 21]
Generated Node #3: [76, 21] from Operation: 42/2=21
Current State: 97:[76, 21], Operations: ['56+20=76', '42/2=21']
Exploring Operation: 76+21=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[56, 42, 2, 20], Operations: []
Exploring Operation: 42*2=84, Resulting Numbers: [56, 20, 84]
Generated Node #0,0: 97:[56, 20, 84] Operation: 42*2=84
Exploring Operation: 56*2=112, Resulting Numbers: [42, 20, 112]
Generated Node #0,1: 97:[42, 20, 112] Operation: 56*2=112
Exploring Operation: 56+20=76, Resulting Numbers: [42, 2, 76]
Generated Node #0,2: 97:[42, 2, 76] Operation: 56+20=76
Exploring Operation: 2*20=40, Resulting Numbers: [56, 42, 40]
Generated Node #0,3: 97:[56, 42, 40] Operation: 2*20=40
Exploring Operation: 56+2=58, Resulting Numbers: [42, 20, 58]
Generated Node #0,4: 97:[42, 20, 58] Operation: 56+2=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[56, 20, 84], Operations: ['42*2=84']
Exploring Operation: 56-20=36, Resulting Numbers: [84, 36]
Generated Node #0,0,0: 97:[84, 36] Operation: 56-20=36
Exploring Operation: 56+84=140, Resulting Numbers: [20, 140]
Generated Node #0,0,1: 97:[20, 140] Operation: 56+84=140
Exploring Operation: 20+84=104, Resulting Numbers: [56, 104]
Generated Node #0,0,2: 97:[56, 104] Operation: 20+84=104
Exploring Operation: 84-20=64, Resulting Numbers: [56, 64]
Generated Node #0,0,3: 97:[56, 64] Operation: 84-20=64
Exploring Operation: 56+20=76, Resulting Numbers: [84, 76]
Generated Node #0,0,4: 97:[84, 76] Operation: 56+20=76
Moving to Node #0,0,4
Current State: 97:[84, 76], Operations: ['42*2=84', '56+20=76']
Exploring Operation: 84+76=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Exploring Operation: 84*76=6384, Resulting Numbers: [6384]
6384,97 unequal: No Solution
Exploring Operation: 84-76=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[56, 104], Operations: ['42*2=84', '20+84=104']
Exploring Operation: 104-56=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 56*104=5824, Resulting Numbers: [5824]
5824,97 unequal: No Solution
Exploring Operation: 56+104=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[84, 36], Operations: ['42*2=84', '56-20=36']
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 84*36=3024, Resulting Numbers: [3024]
3024,97 unequal: No Solution
Exploring Operation: 84+36=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[56, 64], Operations: ['42*2=84', '84-20=64']
Exploring Operation: 64-56=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Exploring Operation: 56*64=3584, Resulting Numbers: [3584]
3584,97 unequal: No Solution
Exploring Operation: 56+64=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[20, 140], Operations: ['42*2=84', '56+84=140']
Exploring Operation: 20*140=2800, Resulting Numbers: [2800]
2800,97 unequal: No Solution
Exploring Operation: 20+140=160, Resulting Numbers: [160]
160,97 unequal: No Solution
Exploring Operation: 140-20=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Exploring Operation: 140/20=7, Resulting Numbers: [7]
7,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[42, 20, 112], Operations: ['56*2=112']
Exploring Operation: 42+20=62, Resulting Numbers: [112, 62]
Generated Node #0,1,0: 97:[112, 62] Operation: 42+20=62
Exploring Operation: 42-20=22, Resulting Numbers: [112, 22]
Generated Node #0,1,1: 97:[112, 22] Operation: 42-20=22
Exploring Operation: 112-20=92, Resulting Numbers: [42, 92]
Generated Node #0,1,2: 97:[42, 92] Operation: 112-20=92
Exploring Operation: 20+112=132, Resulting Numbers: [42, 132]
Generated Node #0,1,3: 97:[42, 132] Operation: 20+112=132
Exploring Operation: 112-42=70, Resulting Numbers: [20, 70]
Generated Node #0,1,4: 97:[20, 70] Operation: 112-42=70
Moving to Node #0,1,0
Current State: 97:[112, 62], Operations: ['56*2=112', '42+20=62']
Exploring Operation: 112-62=50, Resulting Numbers: [50]
50,97 unequal: No Solution
Exploring Operation: 112*62=6944, Resulting Numbers: [6944]
6944,97 unequal: No Solution
Exploring Operation: 112+62=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[42, 92], Operations: ['56*2=112', '112-20=92']
Exploring Operation: 42+92=134, Resulting Numbers: [134]
134,97 unequal: No Solution
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,97 unequal: No Solution
Exploring Operation: 42*92=3864, Resulting Numbers: [3864]
3864,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[112, 22], Operations: ['56*2=112', '42-20=22']
Exploring Operation: 112+22=134, Resulting Numbers: [134]
134,97 unequal: No Solution
Exploring Operation: 112*22=2464, Resulting Numbers: [2464]
2464,97 unequal: No Solution
Exploring Operation: 112-22=90, Resulting Numbers: [90]
90,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[42, 132], Operations: ['56*2=112', '20+112=132']
Exploring Operation: 42+132=174, Resulting Numbers: [174]
174,97 unequal: No Solution
Exploring Operation: 42*132=5544, Resulting Numbers: [5544]
5544,97 unequal: No Solution
Exploring Operation: 132-42=90, Resulting Numbers: [90]
90,97 unequal: No Solution
Moving to Node #0,1,4
Current State: 97:[20, 70], Operations: ['56*2=112', '112-42=70']
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,97 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,97 unequal: No Solution
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[56, 42, 40], Operations: ['2*20=40']
Exploring Operation: 56-40=16, Resulting Numbers: [42, 16]
Generated Node #0,3,0: 97:[42, 16] Operation: 56-40=16
Exploring Operation: 56+42=98, Resulting Numbers: [40, 98]
Generated Node #0,3,1: 97:[40, 98] Operation: 56+42=98
Exploring Operation: 42+40=82, Resulting Numbers: [56, 82]
Generated Node #0,3,2: 97:[56, 82] Operation: 42+40=82
Exploring Operation: 42-40=2, Resulting Numbers: [56, 2]
Generated Node #0,3,3: 97:[56, 2] Operation: 42-40=2
Exploring Operation: 56+40=96, Resulting Numbers: [42, 96]
Generated Node #0,3,4: 97:[42, 96] Operation: 56+40=96
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 97:[56, 82], Operations: ['2*20=40', '42+40=82']
Exploring Operation: 56*82=4592, Resulting Numbers: [4592]
4592,97 unequal: No Solution
Exploring Operation: 56+82=138, Resulting Numbers: [138]
138,97 unequal: No Solution
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,97 unequal: No Solution
No 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: 97:[42, 96], Operations: ['2*20=40', '56+40=96']
Exploring Operation: 42*96=4032, Resulting Numbers: [4032]
4032,97 unequal: No Solution
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 42+96=138, Resulting Numbers: [138]
138,97 unequal: No Solution
No 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: 97:[40, 98], Operations: ['2*20=40', '56+42=98']
Exploring Operation: 40*98=3920, Resulting Numbers: [3920]
3920,97 unequal: No Solution
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,97 unequal: No Solution
Exploring Operation: 40+98=138, Resulting Numbers: [138]
138,97 unequal: No Solution
No 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: 97:[42, 16], Operations: ['2*20=40', '56-40=16']
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,97 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,97 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,97 unequal: No Solution
No 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: 97:[56, 2], Operations: ['2*20=40', '42-40=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 56*2=112, Resulting Numbers: [112]
112,97 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,97 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: 97:[42, 2, 76], Operations: ['56+20=76']
Exploring Operation: 42*2=84, Resulting Numbers: [76, 84]
Generated Node #0,2,0: 97:[76, 84] Operation: 42*2=84
Exploring Operation: 2+76=78, Resulting Numbers: [42, 78]
Generated Node #0,2,1: 97:[42, 78] Operation: 2+76=78
Exploring Operation: 42+2=44, Resulting Numbers: [76, 44]
Generated Node #0,2,2: 97:[76, 44] Operation: 42+2=44
Exploring Operation: 76-2=74, Resulting Numbers: [42, 74]
Generated Node #0,2,3: 97:[42, 74] Operation: 76-2=74
Exploring Operation: 42-2=40, Resulting Numbers: [76, 40]
Generated Node #0,2,4: 97:[76, 40] Operation: 42-2=40
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[76, 84], Operations: ['56+20=76', '42*2=84']
Exploring Operation: 76*84=6384, Resulting Numbers: [6384]
6384,97 unequal: No Solution
Exploring Operation: 84-76=8, Resulting Numbers: [8]
8,97 unequal: No Solution
Exploring Operation: 76+84=160, Resulting Numbers: [160]
160,97 unequal: No Solution
No 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: 97:[42, 78], Operations: ['56+20=76', '2+76=78']
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 42+78=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Exploring Operation: 42*78=3276, Resulting Numbers: [3276]
3276,97 unequal: No Solution
No 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: 97:[76, 44], Operations: ['56+20=76', '42+2=44']
Exploring Operation: 76+44=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Exploring Operation: 76-44=32, Resulting Numbers: [32]
32,97 unequal: No Solution
Exploring Operation: 76*44=3344, Resulting Numbers: [3344]
3344,97 unequal: No Solution
No 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: 97:[42, 74], Operations: ['56+20=76', '76-2=74']
Exploring Operation: 42+74=116, Resulting Numbers: [116]
116,97 unequal: No Solution
Exploring Operation: 42*74=3108, Resulting Numbers: [3108]
3108,97 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,97 unequal: No Solution
No 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: 97:[76, 40], Operations: ['56+20=76', '42-2=40']
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 76+40=116, Resulting Numbers: [116]
116,97 unequal: No Solution
Exploring Operation: 76*40=3040, Resulting Numbers: [3040]
3040,97 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: 97:[42, 20, 58], Operations: ['56+2=58']
Exploring Operation: 42+58=100, Resulting Numbers: [20, 100]
Generated Node #0,4,0: 97:[20, 100] Operation: 42+58=100
Exploring Operation: 42-20=22, Resulting Numbers: [58, 22]
Generated Node #0,4,1: 97:[58, 22] Operation: 42-20=22
Exploring Operation: 58-20=38, Resulting Numbers: [42, 38]
Generated Node #0,4,2: 97:[42, 38] Operation: 58-20=38
Exploring Operation: 42+20=62, Resulting Numbers: [58, 62]
Generated Node #0,4,3: 97:[58, 62] Operation: 42+20=62
Exploring Operation: 20+58=78, Resulting Numbers: [42, 78]
Generated Node #0,4,4: 97:[42, 78] Operation: 20+58=78
Moving to Node #0,4,3
Current State: 97:[58, 62], Operations: ['56+2=58', '42+20=62']
Exploring Operation: 58*62=3596, Resulting Numbers: [3596]
3596,97 unequal: No Solution
Exploring Operation: 62-58=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 58+62=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[42, 78], Operations: ['56+2=58', '20+58=78']
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 42*78=3276, Resulting Numbers: [3276]
3276,97 unequal: No Solution
Exploring Operation: 42+78=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[20, 100], Operations: ['56+2=58', '42+58=100']
Exploring Operation: 100-20=80, Resulting Numbers: [80]
80,97 unequal: No Solution
Exploring Operation: 100/20=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 20+100=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Exploring Operation: 20*100=2000, Resulting Numbers: [2000]
2000,97 unequal: No Solution
Moving to Node #0,4,1
Current State: 97:[58, 22], Operations: ['56+2=58', '42-20=22']
Exploring Operation: 58+22=80, Resulting Numbers: [80]
80,97 unequal: No Solution
Exploring Operation: 58*22=1276, Resulting Numbers: [1276]
1276,97 unequal: No Solution
Exploring Operation: 58-22=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[42, 38], Operations: ['56+2=58', '58-20=38']
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,97 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,97 unequal: No Solution
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,97 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,
41,
16,
61
] | 97 | [
"2*61=122",
"41-16=25",
"122-25=97"
] | Current State: 97:[2, 41, 16, 61], Operations: []
Exploring Operation: 2*61=122, Resulting Numbers: [41, 16, 122]
Generated Node #2: [41, 16, 122] from Operation: 2*61=122
Current State: 97:[41, 16, 122], Operations: ['2*61=122']
Exploring Operation: 41-16=25, Resulting Numbers: [122, 25]
Generated Node #3: [122, 25] from Operation: 41-16=25
Current State: 97:[122, 25], Operations: ['2*61=122', '41-16=25']
Exploring Operation: 122-25=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[2, 41, 16, 61], Operations: []
Exploring Operation: 2*16=32, Resulting Numbers: [41, 61, 32]
Generated Node #0,0: 97:[41, 61, 32] Operation: 2*16=32
Exploring Operation: 2*41=82, Resulting Numbers: [16, 61, 82]
Generated Node #0,1: 97:[16, 61, 82] Operation: 2*41=82
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[16, 61, 82], Operations: ['2*41=82']
Exploring Operation: 16+82=98, Resulting Numbers: [61, 98]
Generated Node #0,1,0: 97:[61, 98] Operation: 16+82=98
Exploring Operation: 16+61=77, Resulting Numbers: [82, 77]
Generated Node #0,1,1: 97:[82, 77] Operation: 16+61=77
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[82, 77], Operations: ['2*41=82', '16+61=77']
Exploring Operation: 82+77=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 82-77=5, Resulting Numbers: [5]
5,97 unequal: No Solution
No 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: 97:[61, 98], Operations: ['2*41=82', '16+82=98']
Exploring Operation: 61+98=159, Resulting Numbers: [159]
159,97 unequal: No Solution
Exploring Operation: 98-61=37, Resulting Numbers: [37]
37,97 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: 97:[41, 61, 32], Operations: ['2*16=32']
Exploring Operation: 41+32=73, Resulting Numbers: [61, 73]
Generated Node #0,0,0: 97:[61, 73] Operation: 41+32=73
Exploring Operation: 61+32=93, Resulting Numbers: [41, 93]
Generated Node #0,0,1: 97:[41, 93] Operation: 61+32=93
Moving to Node #0,0,0
Current State: 97:[61, 73], Operations: ['2*16=32', '41+32=73']
Exploring Operation: 61+73=134, Resulting Numbers: [134]
134,97 unequal: No Solution
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[41, 93], Operations: ['2*16=32', '61+32=93']
Exploring Operation: 93-41=52, Resulting Numbers: [52]
52,97 unequal: No Solution
Exploring Operation: 41+93=134, Resulting Numbers: [134]
134,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
9,
80,
60,
80
] | 69 | [
"9+80=89",
"80-60=20",
"89-20=69"
] | Current State: 69:[9, 80, 60, 80], Operations: []
Exploring Operation: 9+80=89, Resulting Numbers: [60, 89]
Generated Node #2: [60, 89] from Operation: 9+80=89
Current State: 69:[60, 89], Operations: ['9+80=89']
Exploring Operation: 80-60=20, Resulting Numbers: [89, 20]
Generated Node #3: [89, 20] from Operation: 80-60=20
Current State: 69:[89, 20], Operations: ['9+80=89', '80-60=20']
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[9, 80, 60, 80], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [9, 60, 1]
Generated Node #0,0: 69:[9, 60, 1] Operation: 80/80=1
Exploring Operation: 80-60=20, Resulting Numbers: [9, 80, 20]
Generated Node #0,1: 69:[9, 80, 20] Operation: 80-60=20
Exploring Operation: 80-80=0, Resulting Numbers: [9, 60, 0]
Generated Node #0,2: 69:[9, 60, 0] Operation: 80-80=0
Exploring Operation: 80-60=20, Resulting Numbers: [9, 80, 20]
Generated Node #0,3: 69:[9, 80, 20] Operation: 80-60=20
Moving to Node #0,0
Current State: 69:[9, 60, 1], Operations: ['80/80=1']
Exploring Operation: 60+1=61, Resulting Numbers: [9, 61]
Generated Node #0,0,0: 69:[9, 61] Operation: 60+1=61
Exploring Operation: 9+60=69, Resulting Numbers: [1, 69]
Generated Node #0,0,1: 69:[1, 69] Operation: 9+60=69
Exploring Operation: 9-1=8, Resulting Numbers: [60, 8]
Generated Node #0,0,2: 69:[60, 8] Operation: 9-1=8
Exploring Operation: 9*1=9, Resulting Numbers: [60, 9]
Generated Node #0,0,3: 69:[60, 9] Operation: 9*1=9
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[1, 69], Operations: ['80/80=1', '9+60=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[9, 80, 60, 80], Operations: []
Exploring Operation: 80/80=1, Resulting Numbers: [9, 60, 1]
Generated Node #0,0: 69:[9, 60, 1] Operation: 80/80=1
Moving to Node #0,0
Current State: 69:[9, 60, 1], Operations: ['80/80=1']
Exploring Operation: 9+60=69, Resulting Numbers: [1, 69]
Generated Node #0,0,1: 69:[1, 69] Operation: 9+60=69
Moving to Node #0,0,1
Current State: 69:[1, 69], Operations: ['80/80=1', '9+60=69']
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
53,
30,
61,
58
] | 36 | [
"53+30=83",
"61+58=119",
"119-83=36"
] | Current State: 36:[53, 30, 61, 58], Operations: []
Exploring Operation: 53+30=83, Resulting Numbers: [61, 58, 83]
Generated Node #2: [61, 58, 83] from Operation: 53+30=83
Current State: 36:[61, 58, 83], Operations: ['53+30=83']
Exploring Operation: 61+58=119, Resulting Numbers: [83, 119]
Generated Node #3: [83, 119] from Operation: 61+58=119
Current State: 36:[83, 119], Operations: ['53+30=83', '61+58=119']
Exploring Operation: 119-83=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[53, 30, 61, 58], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [30, 61, 5]
Generated Node #0,0: 36:[30, 61, 5] Operation: 58-53=5
Exploring Operation: 61-53=8, Resulting Numbers: [30, 58, 8]
Generated Node #0,1: 36:[30, 58, 8] Operation: 61-53=8
Exploring Operation: 61-58=3, Resulting Numbers: [53, 30, 3]
Generated Node #0,2: 36:[53, 30, 3] Operation: 61-58=3
Moving to Node #0,2
Current State: 36:[53, 30, 3], Operations: ['61-58=3']
Exploring Operation: 30/3=10, Resulting Numbers: [53, 10]
Generated Node #0,2,0: 36:[53, 10] Operation: 30/3=10
Exploring Operation: 53-3=50, Resulting Numbers: [30, 50]
Generated Node #0,2,1: 36:[30, 50] Operation: 53-3=50
Exploring Operation: 53-30=23, Resulting Numbers: [3, 23]
Generated Node #0,2,2: 36:[3, 23] Operation: 53-30=23
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[3, 23], Operations: ['61-58=3', '53-30=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[53, 10], Operations: ['61-58=3', '30/3=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,36 unequal: No Solution
Exploring Operation: 53*10=530, Resulting Numbers: [530]
530,36 unequal: No Solution
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[30, 50], Operations: ['61-58=3', '53-3=50']
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,36 unequal: No Solution
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,36 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 36:[30, 58, 8], Operations: ['61-53=8']
Exploring Operation: 58-8=50, Resulting Numbers: [30, 50]
Generated Node #0,1,0: 36:[30, 50] Operation: 58-8=50
Exploring Operation: 58-30=28, Resulting Numbers: [8, 28]
Generated Node #0,1,1: 36:[8, 28] Operation: 58-30=28
Exploring Operation: 30+8=38, Resulting Numbers: [58, 38]
Generated Node #0,1,2: 36:[58, 38] Operation: 30+8=38
Moving to Node #0,0
Current State: 36:[30, 61, 5], Operations: ['58-53=5']
Exploring Operation: 61-30=31, Resulting Numbers: [5, 31]
Generated Node #0,0,0: 36:[5, 31] Operation: 61-30=31
Exploring Operation: 30/5=6, Resulting Numbers: [61, 6]
Generated Node #0,0,1: 36:[61, 6] Operation: 30/5=6
Exploring Operation: 30+5=35, Resulting Numbers: [61, 35]
Generated Node #0,0,2: 36:[61, 35] Operation: 30+5=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[5, 31], Operations: ['58-53=5', '61-30=31']
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,36 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,36 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[53, 30, 61, 58], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [30, 61, 5]
Generated Node #0,0: 36:[30, 61, 5] Operation: 58-53=5
Moving to Node #0,0
Current State: 36:[30, 61, 5], Operations: ['58-53=5']
Exploring Operation: 61-30=31, Resulting Numbers: [5, 31]
Generated Node #0,0,0: 36:[5, 31] Operation: 61-30=31
Moving to Node #0,0,0
Current State: 36:[5, 31], Operations: ['58-53=5', '61-30=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
97,
52,
9,
39
] | 66 | [
"97-9=88",
"39*88=3432",
"3432/52=66"
] | Current State: 66:[97, 52, 9, 39], Operations: []
Exploring Operation: 97-9=88, Resulting Numbers: [52, 39, 88]
Generated Node #2: [52, 39, 88] from Operation: 97-9=88
Current State: 66:[52, 39, 88], Operations: ['97-9=88']
Exploring Operation: 39*88=3432, Resulting Numbers: [52, 3432]
Generated Node #3: [52, 3432] from Operation: 39*88=3432
Current State: 66:[52, 3432], Operations: ['97-9=88', '39*88=3432']
Exploring Operation: 3432/52=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[97, 52, 9, 39], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [52, 9, 58]
Generated Node #0,0: 66:[52, 9, 58] Operation: 97-39=58
Exploring Operation: 97-52=45, Resulting Numbers: [9, 39, 45]
Generated Node #0,1: 66:[9, 39, 45] Operation: 97-52=45
Exploring Operation: 97-9=88, Resulting Numbers: [52, 39, 88]
Generated Node #0,2: 66:[52, 39, 88] Operation: 97-9=88
Exploring Operation: 52+9=61, Resulting Numbers: [97, 39, 61]
Generated Node #0,3: 66:[97, 39, 61] Operation: 52+9=61
Exploring Operation: 52-39=13, Resulting Numbers: [97, 9, 13]
Generated Node #0,4: 66:[97, 9, 13] Operation: 52-39=13
Moving to Node #0,1
Current State: 66:[9, 39, 45], Operations: ['97-52=45']
Exploring Operation: 45-9=36, Resulting Numbers: [39, 36]
Generated Node #0,1,0: 66:[39, 36] Operation: 45-9=36
Exploring Operation: 45/9=5, Resulting Numbers: [39, 5]
Generated Node #0,1,1: 66:[39, 5] Operation: 45/9=5
Exploring Operation: 9+45=54, Resulting Numbers: [39, 54]
Generated Node #0,1,2: 66:[39, 54] Operation: 9+45=54
Exploring Operation: 45-39=6, Resulting Numbers: [9, 6]
Generated Node #0,1,3: 66:[9, 6] Operation: 45-39=6
Exploring Operation: 39-9=30, Resulting Numbers: [45, 30]
Generated Node #0,1,4: 66:[45, 30] Operation: 39-9=30
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[9, 6], Operations: ['97-52=45', '45-39=6']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[39, 5], Operations: ['97-52=45', '45/9=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,66 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[39, 36], Operations: ['97-52=45', '45-9=36']
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,66 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 66:[45, 30], Operations: ['97-52=45', '39-9=30']
Exploring Operation: 45*30=1350, Resulting Numbers: [1350]
1350,66 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[39, 54], Operations: ['97-52=45', '9+45=54']
Exploring Operation: 39*54=2106, Resulting Numbers: [2106]
2106,66 unequal: No Solution
Exploring Operation: 39+54=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 66:[52, 9, 58], Operations: ['97-39=58']
Exploring Operation: 52-9=43, Resulting Numbers: [58, 43]
Generated Node #0,0,0: 66:[58, 43] Operation: 52-9=43
Exploring Operation: 52+9=61, Resulting Numbers: [58, 61]
Generated Node #0,0,1: 66:[58, 61] Operation: 52+9=61
Exploring Operation: 58-52=6, Resulting Numbers: [9, 6]
Generated Node #0,0,2: 66:[9, 6] Operation: 58-52=6
Exploring Operation: 9+58=67, Resulting Numbers: [52, 67]
Generated Node #0,0,3: 66:[52, 67] Operation: 9+58=67
Exploring Operation: 58-9=49, Resulting Numbers: [52, 49]
Generated Node #0,0,4: 66:[52, 49] Operation: 58-9=49
Moving to Node #0,4
Current State: 66:[97, 9, 13], Operations: ['52-39=13']
Exploring Operation: 97-13=84, Resulting Numbers: [9, 84]
Generated Node #0,4,0: 66:[9, 84] Operation: 97-13=84
Exploring Operation: 9+13=22, Resulting Numbers: [97, 22]
Generated Node #0,4,1: 66:[97, 22] Operation: 9+13=22
Exploring Operation: 97-9=88, Resulting Numbers: [13, 88]
Generated Node #0,4,2: 66:[13, 88] Operation: 97-9=88
Exploring Operation: 13-9=4, Resulting Numbers: [97, 4]
Generated Node #0,4,3: 66:[97, 4] Operation: 13-9=4
Exploring Operation: 97+9=106, Resulting Numbers: [13, 106]
Generated Node #0,4,4: 66:[13, 106] Operation: 97+9=106
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 66:[9, 84], Operations: ['52-39=13', '97-13=84']
Exploring Operation: 9*84=756, Resulting Numbers: [756]
756,66 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 9+84=93, Resulting Numbers: [93]
93,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 66:[13, 88], Operations: ['52-39=13', '97-9=88']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 13*88=1144, Resulting Numbers: [1144]
1144,66 unequal: No Solution
Exploring Operation: 13+88=101, Resulting Numbers: [101]
101,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 66:[97, 22], Operations: ['52-39=13', '9+13=22']
Exploring Operation: 97+22=119, Resulting Numbers: [119]
119,66 unequal: No Solution
Exploring Operation: 97*22=2134, Resulting Numbers: [2134]
2134,66 unequal: No Solution
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 66:[97, 4], Operations: ['52-39=13', '13-9=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Exploring Operation: 97*4=388, Resulting Numbers: [388]
388,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 66:[13, 106], Operations: ['52-39=13', '97+9=106']
Exploring Operation: 13*106=1378, Resulting Numbers: [1378]
1378,66 unequal: No Solution
Exploring Operation: 106-13=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 13+106=119, Resulting Numbers: [119]
119,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 66:[52, 39, 88], Operations: ['97-9=88']
Exploring Operation: 52+39=91, Resulting Numbers: [88, 91]
Generated Node #0,2,0: 66:[88, 91] Operation: 52+39=91
Exploring Operation: 52-39=13, Resulting Numbers: [88, 13]
Generated Node #0,2,1: 66:[88, 13] Operation: 52-39=13
Exploring Operation: 88-52=36, Resulting Numbers: [39, 36]
Generated Node #0,2,2: 66:[39, 36] Operation: 88-52=36
Exploring Operation: 88-39=49, Resulting Numbers: [52, 49]
Generated Node #0,2,3: 66:[52, 49] Operation: 88-39=49
Exploring Operation: 39+88=127, Resulting Numbers: [52, 127]
Generated Node #0,2,4: 66:[52, 127] Operation: 39+88=127
Moving to Node #0,3
Current State: 66:[97, 39, 61], Operations: ['52+9=61']
Exploring Operation: 97-39=58, Resulting Numbers: [61, 58]
Generated Node #0,3,0: 66:[61, 58] Operation: 97-39=58
Exploring Operation: 97+39=136, Resulting Numbers: [61, 136]
Generated Node #0,3,1: 66:[61, 136] Operation: 97+39=136
Exploring Operation: 97-61=36, Resulting Numbers: [39, 36]
Generated Node #0,3,2: 66:[39, 36] Operation: 97-61=36
Exploring Operation: 61-39=22, Resulting Numbers: [97, 22]
Generated Node #0,3,3: 66:[97, 22] Operation: 61-39=22
Exploring Operation: 39+61=100, Resulting Numbers: [97, 100]
Generated Node #0,3,4: 66:[97, 100] Operation: 39+61=100
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[39, 36], Operations: ['52+9=61', '97-61=36']
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[61, 58], Operations: ['52+9=61', '97-39=58']
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,66 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,66 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 66:[97, 22], Operations: ['52+9=61', '61-39=22']
Exploring Operation: 97*22=2134, Resulting Numbers: [2134]
2134,66 unequal: No Solution
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 97+22=119, Resulting Numbers: [119]
119,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 66:[97, 100], Operations: ['52+9=61', '39+61=100']
Exploring Operation: 100-97=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 97*100=9700, Resulting Numbers: [9700]
9700,66 unequal: No Solution
Exploring Operation: 97+100=197, Resulting Numbers: [197]
197,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[61, 136], Operations: ['52+9=61', '97+39=136']
Exploring Operation: 136-61=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 61+136=197, Resulting Numbers: [197]
197,66 unequal: No Solution
Exploring Operation: 61*136=8296, Resulting Numbers: [8296]
8296,66 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: 66:[9, 6], Operations: ['97-39=58', '58-52=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[39, 36], Operations: ['97-9=88', '88-52=36']
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,66 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[58, 61], Operations: ['97-39=58', '52+9=61']
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,66 unequal: No Solution
Exploring Operation: 58*61=3538, Resulting Numbers: [3538]
3538,66 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[52, 67], Operations: ['97-39=58', '9+58=67']
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 52*67=3484, Resulting Numbers: [3484]
3484,66 unequal: No Solution
Exploring Operation: 52+67=119, Resulting Numbers: [119]
119,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[58, 43], Operations: ['97-39=58', '52-9=43']
Exploring Operation: 58+43=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Exploring Operation: 58*43=2494, Resulting Numbers: [2494]
2494,66 unequal: No Solution
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[88, 13], Operations: ['97-9=88', '52-39=13']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 88*13=1144, Resulting Numbers: [1144]
1144,66 unequal: No Solution
Exploring Operation: 88+13=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Moving to Node #0,0,4
Current State: 66:[52, 49], Operations: ['97-39=58', '58-9=49']
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[52, 49], Operations: ['97-9=88', '88-39=49']
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,66 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[88, 91], Operations: ['97-9=88', '52+39=91']
Exploring Operation: 88+91=179, Resulting Numbers: [179]
179,66 unequal: No Solution
Exploring Operation: 88*91=8008, Resulting Numbers: [8008]
8008,66 unequal: No Solution
Exploring Operation: 91-88=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Moving to Node #0,2,4
Current State: 66:[52, 127], Operations: ['97-9=88', '39+88=127']
Exploring Operation: 127-52=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 52+127=179, Resulting Numbers: [179]
179,66 unequal: No Solution
Exploring Operation: 52*127=6604, Resulting Numbers: [6604]
6604,66 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
57,
31,
18,
4
] | 11 | [
"57-31=26",
"18+26=44",
"44/4=11"
] | Current State: 11:[57, 31, 18, 4], Operations: []
Exploring Operation: 57-31=26, Resulting Numbers: [18, 4, 26]
Generated Node #2: [18, 4, 26] from Operation: 57-31=26
Current State: 11:[18, 4, 26], Operations: ['57-31=26']
Exploring Operation: 18+26=44, Resulting Numbers: [4, 44]
Generated Node #3: [4, 44] from Operation: 18+26=44
Current State: 11:[4, 44], Operations: ['57-31=26', '18+26=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[57, 31, 18, 4], Operations: []
Exploring Operation: 57-31=26, Resulting Numbers: [18, 4, 26]
Generated Node #0,0: 11:[18, 4, 26] Operation: 57-31=26
Moving to Node #0,0
Current State: 11:[18, 4, 26], Operations: ['57-31=26']
Exploring Operation: 26-18=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 11:[4, 8] Operation: 26-18=8
Moving to Node #0,0,0
Current State: 11:[4, 8], Operations: ['57-31=26', '26-18=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
21,
80,
93
] | 56 | [
"80/5=16",
"93-21=72",
"72-16=56"
] | Current State: 56:[5, 21, 80, 93], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [21, 93, 16]
Generated Node #2: [21, 93, 16] from Operation: 80/5=16
Current State: 56:[21, 93, 16], Operations: ['80/5=16']
Exploring Operation: 93-21=72, Resulting Numbers: [16, 72]
Generated Node #3: [16, 72] from Operation: 93-21=72
Current State: 56:[16, 72], Operations: ['80/5=16', '93-21=72']
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[5, 21, 80, 93], Operations: []
Exploring Operation: 80-21=59, Resulting Numbers: [5, 93, 59]
Generated Node #0,0: 56:[5, 93, 59] Operation: 80-21=59
Exploring Operation: 93-80=13, Resulting Numbers: [5, 21, 13]
Generated Node #0,1: 56:[5, 21, 13] Operation: 93-80=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[5, 21, 13], Operations: ['93-80=13']
Exploring Operation: 21-13=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 56:[5, 8] Operation: 21-13=8
Exploring Operation: 5+21=26, Resulting Numbers: [13, 26]
Generated Node #0,1,1: 56:[13, 26] Operation: 5+21=26
Moving to Node #0,1,0
Current State: 56:[5, 8], Operations: ['93-80=13', '21-13=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[13, 26], Operations: ['93-80=13', '5+21=26']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[5, 93, 59], Operations: ['80-21=59']
Exploring Operation: 93-5=88, Resulting Numbers: [59, 88]
Generated Node #0,0,0: 56:[59, 88] Operation: 93-5=88
Exploring Operation: 93-59=34, Resulting Numbers: [5, 34]
Generated Node #0,0,1: 56:[5, 34] Operation: 93-59=34
Moving to Node #0,0,1
Current State: 56:[5, 34], Operations: ['80-21=59', '93-59=34']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 5+34=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[59, 88], Operations: ['80-21=59', '93-5=88']
Exploring Operation: 59+88=147, Resulting Numbers: [147]
147,56 unequal: No Solution
Exploring Operation: 88-59=29, Resulting Numbers: [29]
29,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
70,
60,
49,
57
] | 96 | [
"70-60=10",
"49+57=106",
"106-10=96"
] | Current State: 96:[70, 60, 49, 57], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [49, 57, 10]
Generated Node #2: [49, 57, 10] from Operation: 70-60=10
Current State: 96:[49, 57, 10], Operations: ['70-60=10']
Exploring Operation: 49+57=106, Resulting Numbers: [10, 106]
Generated Node #3: [10, 106] from Operation: 49+57=106
Current State: 96:[10, 106], Operations: ['70-60=10', '49+57=106']
Exploring Operation: 106-10=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[70, 60, 49, 57], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [49, 57, 10]
Generated Node #0,0: 96:[49, 57, 10] Operation: 70-60=10
Moving to Node #0,0
Current State: 96:[49, 57, 10], Operations: ['70-60=10']
Exploring Operation: 57-49=8, Resulting Numbers: [10, 8]
Generated Node #0,0,0: 96:[10, 8] Operation: 57-49=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[10, 8], Operations: ['70-60=10', '57-49=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
35,
81,
38
] | 76 | [
"92*38=3496",
"81-35=46",
"3496/46=76"
] | Current State: 76:[92, 35, 81, 38], Operations: []
Exploring Operation: 92*38=3496, Resulting Numbers: [35, 81, 3496]
Generated Node #2: [35, 81, 3496] from Operation: 92*38=3496
Current State: 76:[35, 81, 3496], Operations: ['92*38=3496']
Exploring Operation: 81-35=46, Resulting Numbers: [3496, 46]
Generated Node #3: [3496, 46] from Operation: 81-35=46
Current State: 76:[3496, 46], Operations: ['92*38=3496', '81-35=46']
Exploring Operation: 3496/46=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[92, 35, 81, 38], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [35, 38, 11]
Generated Node #0,0: 76:[35, 38, 11] Operation: 92-81=11
Moving to Node #0,0
Current State: 76:[35, 38, 11], Operations: ['92-81=11']
Exploring Operation: 35-11=24, Resulting Numbers: [38, 24]
Generated Node #0,0,0: 76:[38, 24] Operation: 35-11=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[38, 24], Operations: ['92-81=11', '35-11=24']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
8,
95,
39
] | 35 | [
"95-39=56",
"5*56=280",
"280/8=35"
] | Current State: 35:[5, 8, 95, 39], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [5, 8, 56]
Generated Node #2: [5, 8, 56] from Operation: 95-39=56
Current State: 35:[5, 8, 56], Operations: ['95-39=56']
Exploring Operation: 5*56=280, Resulting Numbers: [8, 280]
Generated Node #3: [8, 280] from Operation: 5*56=280
Current State: 35:[8, 280], Operations: ['95-39=56', '5*56=280']
Exploring Operation: 280/8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[5, 8, 95, 39], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [5, 8, 56]
Generated Node #0,0: 35:[5, 8, 56] Operation: 95-39=56
Exploring Operation: 95/5=19, Resulting Numbers: [8, 39, 19]
Generated Node #0,1: 35:[8, 39, 19] Operation: 95/5=19
Exploring Operation: 95-8=87, Resulting Numbers: [5, 39, 87]
Generated Node #0,2: 35:[5, 39, 87] Operation: 95-8=87
Moving to Node #0,1
Current State: 35:[8, 39, 19], Operations: ['95/5=19']
Exploring Operation: 8+19=27, Resulting Numbers: [39, 27]
Generated Node #0,1,0: 35:[39, 27] Operation: 8+19=27
Exploring Operation: 39-19=20, Resulting Numbers: [8, 20]
Generated Node #0,1,1: 35:[8, 20] Operation: 39-19=20
Exploring Operation: 19-8=11, Resulting Numbers: [39, 11]
Generated Node #0,1,2: 35:[39, 11] Operation: 19-8=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[39, 11], Operations: ['95/5=19', '19-8=11']
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,35 unequal: No Solution
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,35 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 #0,1,0
Current State: 35:[39, 27], Operations: ['95/5=19', '8+19=27']
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,35 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,35 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 #0,1,1
Current State: 35:[8, 20], Operations: ['95/5=19', '39-19=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,35 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: 35:[5, 8, 56], Operations: ['95-39=56']
Exploring Operation: 56-8=48, Resulting Numbers: [5, 48]
Generated Node #0,0,0: 35:[5, 48] Operation: 56-8=48
Exploring Operation: 56-5=51, Resulting Numbers: [8, 51]
Generated Node #0,0,1: 35:[8, 51] Operation: 56-5=51
Exploring Operation: 56/8=7, Resulting Numbers: [5, 7]
Generated Node #0,0,2: 35:[5, 7] Operation: 56/8=7
Moving to Node #0,2
Current State: 35:[5, 39, 87], Operations: ['95-8=87']
Exploring Operation: 39-5=34, Resulting Numbers: [87, 34]
Generated Node #0,2,0: 35:[87, 34] Operation: 39-5=34
Exploring Operation: 87-39=48, Resulting Numbers: [5, 48]
Generated Node #0,2,1: 35:[5, 48] Operation: 87-39=48
Exploring Operation: 87-5=82, Resulting Numbers: [39, 82]
Generated Node #0,2,2: 35:[39, 82] Operation: 87-5=82
Moving to Node #0,0,2
Current State: 35:[5, 7], Operations: ['95-39=56', '56/8=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[5, 8, 95, 39], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [5, 8, 56]
Generated Node #0,0: 35:[5, 8, 56] Operation: 95-39=56
Moving to Node #0,0
Current State: 35:[5, 8, 56], Operations: ['95-39=56']
Exploring Operation: 56/8=7, Resulting Numbers: [5, 7]
Generated Node #0,0,2: 35:[5, 7] Operation: 56/8=7
Moving to Node #0,0,2
Current State: 35:[5, 7], Operations: ['95-39=56', '56/8=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
1,
13,
1,
98
] | 85 | [
"1+13=14",
"1+98=99",
"99-14=85"
] | Current State: 85:[1, 13, 1, 98], Operations: []
Exploring Operation: 1+13=14, Resulting Numbers: [98, 14]
Generated Node #2: [98, 14] from Operation: 1+13=14
Current State: 85:[98, 14], Operations: ['1+13=14']
Exploring Operation: 1+98=99, Resulting Numbers: [14, 99]
Generated Node #3: [14, 99] from Operation: 1+98=99
Current State: 85:[14, 99], Operations: ['1+13=14', '1+98=99']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[1, 13, 1, 98], Operations: []
Exploring Operation: 98-13=85, Resulting Numbers: [1, 1, 85]
Generated Node #0,0: 85:[1, 1, 85] Operation: 98-13=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[1, 1, 85], Operations: ['98-13=85']
Exploring Operation: 1+1=2, Resulting Numbers: [85, 2]
Generated Node #0,0,0: 85:[85, 2] Operation: 1+1=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[85, 2], Operations: ['98-13=85', '1+1=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
84,
84,
1,
69
] | 98 | [
"84+84=168",
"1+69=70",
"168-70=98"
] | Current State: 98:[84, 84, 1, 69], Operations: []
Exploring Operation: 84+84=168, Resulting Numbers: [1, 69, 168]
Generated Node #2: [1, 69, 168] from Operation: 84+84=168
Current State: 98:[1, 69, 168], Operations: ['84+84=168']
Exploring Operation: 1+69=70, Resulting Numbers: [168, 70]
Generated Node #3: [168, 70] from Operation: 1+69=70
Current State: 98:[168, 70], Operations: ['84+84=168', '1+69=70']
Exploring Operation: 168-70=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[84, 84, 1, 69], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [1, 69, 1]
Generated Node #0,0: 98:[1, 69, 1] Operation: 84/84=1
Exploring Operation: 84-84=0, Resulting Numbers: [1, 69, 0]
Generated Node #0,1: 98:[1, 69, 0] Operation: 84-84=0
Exploring Operation: 84-69=15, Resulting Numbers: [84, 1, 15]
Generated Node #0,2: 98:[84, 1, 15] Operation: 84-69=15
Exploring Operation: 84-69=15, Resulting Numbers: [84, 1, 15]
Generated Node #0,3: 98:[84, 1, 15] Operation: 84-69=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[84, 1, 15], Operations: ['84-69=15']
Exploring Operation: 15-1=14, Resulting Numbers: [84, 14]
Generated Node #0,2,0: 98:[84, 14] Operation: 15-1=14
Exploring Operation: 84+1=85, Resulting Numbers: [15, 85]
Generated Node #0,2,1: 98:[15, 85] Operation: 84+1=85
Exploring Operation: 84*1=84, Resulting Numbers: [15, 84]
Generated Node #0,2,2: 98:[15, 84] Operation: 84*1=84
Exploring Operation: 84+15=99, Resulting Numbers: [1, 99]
Generated Node #0,2,3: 98:[1, 99] Operation: 84+15=99
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 98:[1, 99], Operations: ['84-69=15', '84+15=99']
Exploring Operation: 1*99=99, Resulting Numbers: [99]
99,98 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[84, 84, 1, 69], Operations: []
Exploring Operation: 84-69=15, Resulting Numbers: [84, 1, 15]
Generated Node #0,2: 98:[84, 1, 15] Operation: 84-69=15
Moving to Node #0,2
Current State: 98:[84, 1, 15], Operations: ['84-69=15']
Exploring Operation: 84+15=99, Resulting Numbers: [1, 99]
Generated Node #0,2,3: 98:[1, 99] Operation: 84+15=99
Moving to Node #0,2,3
Current State: 98:[1, 99], Operations: ['84-69=15', '84+15=99']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
5,
86,
95,
50
] | 36 | [
"86-5=81",
"95-50=45",
"81-45=36"
] | Current State: 36:[5, 86, 95, 50], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [95, 50, 81]
Generated Node #2: [95, 50, 81] from Operation: 86-5=81
Current State: 36:[95, 50, 81], Operations: ['86-5=81']
Exploring Operation: 95-50=45, Resulting Numbers: [81, 45]
Generated Node #3: [81, 45] from Operation: 95-50=45
Current State: 36:[81, 45], Operations: ['86-5=81', '95-50=45']
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[5, 86, 95, 50], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [5, 50, 9]
Generated Node #0,0: 36:[5, 50, 9] Operation: 95-86=9
Exploring Operation: 86-50=36, Resulting Numbers: [5, 95, 36]
Generated Node #0,1: 36:[5, 95, 36] Operation: 86-50=36
Exploring Operation: 95/5=19, Resulting Numbers: [86, 50, 19]
Generated Node #0,2: 36:[86, 50, 19] Operation: 95/5=19
Exploring Operation: 95-50=45, Resulting Numbers: [5, 86, 45]
Generated Node #0,3: 36:[5, 86, 45] Operation: 95-50=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[5, 50, 9], Operations: ['95-86=9']
Exploring Operation: 50/5=10, Resulting Numbers: [9, 10]
Generated Node #0,0,0: 36:[9, 10] Operation: 50/5=10
Exploring Operation: 50-9=41, Resulting Numbers: [5, 41]
Generated Node #0,0,1: 36:[5, 41] Operation: 50-9=41
Exploring Operation: 50-5=45, Resulting Numbers: [9, 45]
Generated Node #0,0,2: 36:[9, 45] Operation: 50-5=45
Exploring Operation: 9-5=4, Resulting Numbers: [50, 4]
Generated Node #0,0,3: 36:[50, 4] Operation: 9-5=4
Moving to Node #0,0,0
Current State: 36:[9, 10], Operations: ['95-86=9', '50/5=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[5, 41], Operations: ['95-86=9', '50-9=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,36 unequal: No Solution
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[5, 86, 95, 50], Operations: []
Exploring Operation: 95-86=9, Resulting Numbers: [5, 50, 9]
Generated Node #0,0: 36:[5, 50, 9] Operation: 95-86=9
Moving to Node #0,0
Current State: 36:[5, 50, 9], Operations: ['95-86=9']
Exploring Operation: 50-9=41, Resulting Numbers: [5, 41]
Generated Node #0,0,1: 36:[5, 41] Operation: 50-9=41
Moving to Node #0,0,1
Current State: 36:[5, 41], Operations: ['95-86=9', '50-9=41']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
4,
99,
60,
24
] | 11 | [
"4*99=396",
"60-24=36",
"396/36=11"
] | Current State: 11:[4, 99, 60, 24], Operations: []
Exploring Operation: 4*99=396, Resulting Numbers: [60, 24, 396]
Generated Node #2: [60, 24, 396] from Operation: 4*99=396
Current State: 11:[60, 24, 396], Operations: ['4*99=396']
Exploring Operation: 60-24=36, Resulting Numbers: [396, 36]
Generated Node #3: [396, 36] from Operation: 60-24=36
Current State: 11:[396, 36], Operations: ['4*99=396', '60-24=36']
Exploring Operation: 396/36=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[4, 99, 60, 24], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [4, 24, 39]
Generated Node #0,0: 11:[4, 24, 39] Operation: 99-60=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[4, 24, 39], Operations: ['99-60=39']
Exploring Operation: 39-24=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 11:[4, 15] Operation: 39-24=15
Moving to Node #0,0,0
Current State: 11:[4, 15], Operations: ['99-60=39', '39-24=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[4, 99, 60, 24], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [4, 24, 39]
Generated Node #0,0: 11:[4, 24, 39] Operation: 99-60=39
Moving to Node #0,0
Current State: 11:[4, 24, 39], Operations: ['99-60=39']
Exploring Operation: 39-24=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 11:[4, 15] Operation: 39-24=15
Moving to Node #0,0,0
Current State: 11:[4, 15], Operations: ['99-60=39', '39-24=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
77,
91,
9,
97
] | 80 | [
"77+91=168",
"97-9=88",
"168-88=80"
] | Current State: 80:[77, 91, 9, 97], Operations: []
Exploring Operation: 77+91=168, Resulting Numbers: [9, 97, 168]
Generated Node #2: [9, 97, 168] from Operation: 77+91=168
Current State: 80:[9, 97, 168], Operations: ['77+91=168']
Exploring Operation: 97-9=88, Resulting Numbers: [168, 88]
Generated Node #3: [168, 88] from Operation: 97-9=88
Current State: 80:[168, 88], Operations: ['77+91=168', '97-9=88']
Exploring Operation: 168-88=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[77, 91, 9, 97], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [77, 9, 6]
Generated Node #0,0: 80:[77, 9, 6] Operation: 97-91=6
Exploring Operation: 97-9=88, Resulting Numbers: [77, 91, 88]
Generated Node #0,1: 80:[77, 91, 88] Operation: 97-9=88
Exploring Operation: 91-9=82, Resulting Numbers: [77, 97, 82]
Generated Node #0,2: 80:[77, 97, 82] Operation: 91-9=82
Exploring Operation: 97-77=20, Resulting Numbers: [91, 9, 20]
Generated Node #0,3: 80:[91, 9, 20] Operation: 97-77=20
Exploring Operation: 91-77=14, Resulting Numbers: [9, 97, 14]
Generated Node #0,4: 80:[9, 97, 14] Operation: 91-77=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[77, 9, 6], Operations: ['97-91=6']
Exploring Operation: 77+6=83, Resulting Numbers: [9, 83]
Generated Node #0,0,0: 80:[9, 83] Operation: 77+6=83
Exploring Operation: 77-6=71, Resulting Numbers: [9, 71]
Generated Node #0,0,1: 80:[9, 71] Operation: 77-6=71
Exploring Operation: 9-6=3, Resulting Numbers: [77, 3]
Generated Node #0,0,2: 80:[77, 3] Operation: 9-6=3
Exploring Operation: 9+6=15, Resulting Numbers: [77, 15]
Generated Node #0,0,3: 80:[77, 15] Operation: 9+6=15
Exploring Operation: 77+9=86, Resulting Numbers: [6, 86]
Generated Node #0,0,4: 80:[6, 86] Operation: 77+9=86
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[9, 83], Operations: ['97-91=6', '77+6=83']
Exploring Operation: 9+83=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 9*83=747, Resulting Numbers: [747]
747,80 unequal: No Solution
No 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: 80:[77, 3], Operations: ['97-91=6', '9-6=3']
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,80 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[77, 91, 9, 97], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [77, 9, 6]
Generated Node #0,0: 80:[77, 9, 6] Operation: 97-91=6
Moving to Node #0,0
Current State: 80:[77, 9, 6], Operations: ['97-91=6']
Exploring Operation: 9-6=3, Resulting Numbers: [77, 3]
Generated Node #0,0,2: 80:[77, 3] Operation: 9-6=3
Moving to Node #0,0,2
Current State: 80:[77, 3], Operations: ['97-91=6', '9-6=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
9,
46,
16,
1
] | 53 | [
"46-9=37",
"16*1=16",
"37+16=53"
] | Current State: 53:[9, 46, 16, 1], Operations: []
Exploring Operation: 46-9=37, Resulting Numbers: [16, 1, 37]
Generated Node #2: [16, 1, 37] from Operation: 46-9=37
Current State: 53:[16, 1, 37], Operations: ['46-9=37']
Exploring Operation: 16*1=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 16*1=16
Current State: 53:[37, 16], Operations: ['46-9=37', '16*1=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[9, 46, 16, 1], Operations: []
Exploring Operation: 9+16=25, Resulting Numbers: [46, 1, 25]
Generated Node #0,0: 53:[46, 1, 25] Operation: 9+16=25
Moving to Node #0,0
Current State: 53:[46, 1, 25], Operations: ['9+16=25']
Exploring Operation: 46+1=47, Resulting Numbers: [25, 47]
Generated Node #0,0,0: 53:[25, 47] Operation: 46+1=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[25, 47], Operations: ['9+16=25', '46+1=47']
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,53 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 |
[
93,
57,
34,
25
] | 95 | [
"93-57=36",
"34+25=59",
"36+59=95"
] | Current State: 95:[93, 57, 34, 25], Operations: []
Exploring Operation: 93-57=36, Resulting Numbers: [34, 25, 36]
Generated Node #2: [34, 25, 36] from Operation: 93-57=36
Current State: 95:[34, 25, 36], Operations: ['93-57=36']
Exploring Operation: 34+25=59, Resulting Numbers: [36, 59]
Generated Node #3: [36, 59] from Operation: 34+25=59
Current State: 95:[36, 59], Operations: ['93-57=36', '34+25=59']
Exploring Operation: 36+59=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[93, 57, 34, 25], Operations: []
Exploring Operation: 57-25=32, Resulting Numbers: [93, 34, 32]
Generated Node #0,0: 95:[93, 34, 32] Operation: 57-25=32
Exploring Operation: 57+34=91, Resulting Numbers: [93, 25, 91]
Generated Node #0,1: 95:[93, 25, 91] Operation: 57+34=91
Exploring Operation: 57-34=23, Resulting Numbers: [93, 25, 23]
Generated Node #0,2: 95:[93, 25, 23] Operation: 57-34=23
Exploring Operation: 93-57=36, Resulting Numbers: [34, 25, 36]
Generated Node #0,3: 95:[34, 25, 36] Operation: 93-57=36
Exploring Operation: 57+25=82, Resulting Numbers: [93, 34, 82]
Generated Node #0,4: 95:[93, 34, 82] Operation: 57+25=82
Moving to Node #0,1
Current State: 95:[93, 25, 91], Operations: ['57+34=91']
Exploring Operation: 93+25=118, Resulting Numbers: [91, 118]
Generated Node #0,1,0: 95:[91, 118] Operation: 93+25=118
Exploring Operation: 91-25=66, Resulting Numbers: [93, 66]
Generated Node #0,1,1: 95:[93, 66] Operation: 91-25=66
Exploring Operation: 25+91=116, Resulting Numbers: [93, 116]
Generated Node #0,1,2: 95:[93, 116] Operation: 25+91=116
Exploring Operation: 93-25=68, Resulting Numbers: [91, 68]
Generated Node #0,1,3: 95:[91, 68] Operation: 93-25=68
Exploring Operation: 93-91=2, Resulting Numbers: [25, 2]
Generated Node #0,1,4: 95:[25, 2] Operation: 93-91=2
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 95:[25, 2], Operations: ['57+34=91', '93-91=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[93, 116], Operations: ['57+34=91', '25+91=116']
Exploring Operation: 93+116=209, Resulting Numbers: [209]
209,95 unequal: No Solution
Exploring Operation: 93*116=10788, Resulting Numbers: [10788]
10788,95 unequal: No Solution
Exploring Operation: 116-93=23, Resulting Numbers: [23]
23,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[91, 118], Operations: ['57+34=91', '93+25=118']
Exploring Operation: 91*118=10738, Resulting Numbers: [10738]
10738,95 unequal: No Solution
Exploring Operation: 91+118=209, Resulting Numbers: [209]
209,95 unequal: No Solution
Exploring Operation: 118-91=27, Resulting Numbers: [27]
27,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[93, 66], Operations: ['57+34=91', '91-25=66']
Exploring Operation: 93+66=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 93*66=6138, Resulting Numbers: [6138]
6138,95 unequal: No Solution
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 95:[91, 68], Operations: ['57+34=91', '93-25=68']
Exploring Operation: 91*68=6188, Resulting Numbers: [6188]
6188,95 unequal: No Solution
Exploring Operation: 91+68=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 91-68=23, Resulting Numbers: [23]
23,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 95:[93, 25, 23], Operations: ['57-34=23']
Exploring Operation: 93+23=116, Resulting Numbers: [25, 116]
Generated Node #0,2,0: 95:[25, 116] Operation: 93+23=116
Exploring Operation: 25-23=2, Resulting Numbers: [93, 2]
Generated Node #0,2,1: 95:[93, 2] Operation: 25-23=2
Exploring Operation: 93-23=70, Resulting Numbers: [25, 70]
Generated Node #0,2,2: 95:[25, 70] Operation: 93-23=70
Exploring Operation: 93-25=68, Resulting Numbers: [23, 68]
Generated Node #0,2,3: 95:[23, 68] Operation: 93-25=68
Exploring Operation: 93+25=118, Resulting Numbers: [23, 118]
Generated Node #0,2,4: 95:[23, 118] Operation: 93+25=118
Moving to Node #0,0
Current State: 95:[93, 34, 32], Operations: ['57-25=32']
Exploring Operation: 93+34=127, Resulting Numbers: [32, 127]
Generated Node #0,0,0: 95:[32, 127] Operation: 93+34=127
Exploring Operation: 93-34=59, Resulting Numbers: [32, 59]
Generated Node #0,0,1: 95:[32, 59] Operation: 93-34=59
Exploring Operation: 34+32=66, Resulting Numbers: [93, 66]
Generated Node #0,0,2: 95:[93, 66] Operation: 34+32=66
Exploring Operation: 34-32=2, Resulting Numbers: [93, 2]
Generated Node #0,0,3: 95:[93, 2] Operation: 34-32=2
Exploring Operation: 93+32=125, Resulting Numbers: [34, 125]
Generated Node #0,0,4: 95:[34, 125] Operation: 93+32=125
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[93, 2], Operations: ['57-25=32', '34-32=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,95 unequal: No Solution
Exploring Operation: 93*2=186, Resulting Numbers: [186]
186,95 unequal: No Solution
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[93, 57, 34, 25], Operations: []
Exploring Operation: 57-25=32, Resulting Numbers: [93, 34, 32]
Generated Node #0,0: 95:[93, 34, 32] Operation: 57-25=32
Moving to Node #0,0
Current State: 95:[93, 34, 32], Operations: ['57-25=32']
Exploring Operation: 34-32=2, Resulting Numbers: [93, 2]
Generated Node #0,0,3: 95:[93, 2] Operation: 34-32=2
Moving to Node #0,0,3
Current State: 95:[93, 2], Operations: ['57-25=32', '34-32=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
13,
6,
47,
24
] | 60 | [
"47-13=34",
"34-24=10",
"6*10=60"
] | Current State: 60:[13, 6, 47, 24], Operations: []
Exploring Operation: 47-13=34, Resulting Numbers: [6, 24, 34]
Generated Node #2: [6, 24, 34] from Operation: 47-13=34
Current State: 60:[6, 24, 34], Operations: ['47-13=34']
Exploring Operation: 34-24=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 34-24=10
Current State: 60:[6, 10], Operations: ['47-13=34', '34-24=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[13, 6, 47, 24], Operations: []
Exploring Operation: 13+47=60, Resulting Numbers: [6, 24, 60]
Generated Node #0,0: 60:[6, 24, 60] Operation: 13+47=60
Exploring Operation: 47-24=23, Resulting Numbers: [13, 6, 23]
Generated Node #0,1: 60:[13, 6, 23] Operation: 47-24=23
Moving to Node #0,0
Current State: 60:[6, 24, 60], Operations: ['13+47=60']
Exploring Operation: 6+24=30, Resulting Numbers: [60, 30]
Generated Node #0,0,0: 60:[60, 30] Operation: 6+24=30
Exploring Operation: 24/6=4, Resulting Numbers: [60, 4]
Generated Node #0,0,1: 60:[60, 4] Operation: 24/6=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[60, 30], Operations: ['13+47=60', '6+24=30']
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[60, 4], Operations: ['13+47=60', '24/6=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,60 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,60 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: 60:[13, 6, 23], Operations: ['47-24=23']
Exploring Operation: 6+23=29, Resulting Numbers: [13, 29]
Generated Node #0,1,0: 60:[13, 29] Operation: 6+23=29
Exploring Operation: 23-13=10, Resulting Numbers: [6, 10]
Generated Node #0,1,1: 60:[6, 10] Operation: 23-13=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[6, 10], Operations: ['47-24=23', '23-13=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[13, 6, 47, 24], Operations: []
Exploring Operation: 47-24=23, Resulting Numbers: [13, 6, 23]
Generated Node #0,1: 60:[13, 6, 23] Operation: 47-24=23
Moving to Node #0,1
Current State: 60:[13, 6, 23], Operations: ['47-24=23']
Exploring Operation: 23-13=10, Resulting Numbers: [6, 10]
Generated Node #0,1,1: 60:[6, 10] Operation: 23-13=10
Moving to Node #0,1,1
Current State: 60:[6, 10], Operations: ['47-24=23', '23-13=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
33,
31,
34,
48
] | 50 | [
"33+31=64",
"48-34=14",
"64-14=50"
] | Current State: 50:[33, 31, 34, 48], Operations: []
Exploring Operation: 33+31=64, Resulting Numbers: [34, 48, 64]
Generated Node #2: [34, 48, 64] from Operation: 33+31=64
Current State: 50:[34, 48, 64], Operations: ['33+31=64']
Exploring Operation: 48-34=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 48-34=14
Current State: 50:[64, 14], Operations: ['33+31=64', '48-34=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[33, 31, 34, 48], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [31, 34, 15]
Generated Node #0,0: 50:[31, 34, 15] Operation: 48-33=15
Exploring Operation: 34-33=1, Resulting Numbers: [31, 48, 1]
Generated Node #0,1: 50:[31, 48, 1] Operation: 34-33=1
Exploring Operation: 48-34=14, Resulting Numbers: [33, 31, 14]
Generated Node #0,2: 50:[33, 31, 14] Operation: 48-34=14
Exploring Operation: 33-31=2, Resulting Numbers: [34, 48, 2]
Generated Node #0,3: 50:[34, 48, 2] Operation: 33-31=2
Exploring Operation: 34-31=3, Resulting Numbers: [33, 48, 3]
Generated Node #0,4: 50:[33, 48, 3] Operation: 34-31=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[31, 48, 1], Operations: ['34-33=1']
Exploring Operation: 31/1=31, Resulting Numbers: [48, 31]
Generated Node #0,1,0: 50:[48, 31] Operation: 31/1=31
Exploring Operation: 31-1=30, Resulting Numbers: [48, 30]
Generated Node #0,1,1: 50:[48, 30] Operation: 31-1=30
Exploring Operation: 48-31=17, Resulting Numbers: [1, 17]
Generated Node #0,1,2: 50:[1, 17] Operation: 48-31=17
Exploring Operation: 48+1=49, Resulting Numbers: [31, 49]
Generated Node #0,1,3: 50:[31, 49] Operation: 48+1=49
Exploring Operation: 31*1=31, Resulting Numbers: [48, 31]
Generated Node #0,1,4: 50:[48, 31] Operation: 31*1=31
Moving to Node #0,1,1
Current State: 50:[48, 30], Operations: ['34-33=1', '31-1=30']
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,50 unequal: No Solution
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,50 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Moving to Node #0,1,3
Current State: 50:[31, 49], Operations: ['34-33=1', '48+1=49']
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,50 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 31*49=1519, Resulting Numbers: [1519]
1519,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[48, 31], Operations: ['34-33=1', '31/1=31']
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,50 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[1, 17], Operations: ['34-33=1', '48-31=17']
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Moving to Node #0,1,4
Current State: 50:[48, 31], Operations: ['34-33=1', '31*1=31']
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,50 unequal: No Solution
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 50:[34, 48, 2], Operations: ['33-31=2']
Exploring Operation: 34/2=17, Resulting Numbers: [48, 17]
Generated Node #0,3,0: 50:[48, 17] Operation: 34/2=17
Exploring Operation: 34-2=32, Resulting Numbers: [48, 32]
Generated Node #0,3,1: 50:[48, 32] Operation: 34-2=32
Exploring Operation: 48+2=50, Resulting Numbers: [34, 50]
Generated Node #0,3,2: 50:[34, 50] Operation: 48+2=50
Exploring Operation: 48-34=14, Resulting Numbers: [2, 14]
Generated Node #0,3,3: 50:[2, 14] Operation: 48-34=14
Exploring Operation: 48/2=24, Resulting Numbers: [34, 24]
Generated Node #0,3,4: 50:[34, 24] Operation: 48/2=24
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 50:[2, 14], Operations: ['33-31=2', '48-34=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 50:[48, 17], Operations: ['33-31=2', '34/2=17']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,50 unequal: No Solution
Exploring Operation: 48*17=816, Resulting Numbers: [816]
816,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 50:[48, 32], Operations: ['33-31=2', '34-2=32']
Exploring Operation: 48-32=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 48*32=1536, Resulting Numbers: [1536]
1536,50 unequal: No Solution
Exploring Operation: 48+32=80, Resulting Numbers: [80]
80,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 50:[34, 50], Operations: ['33-31=2', '48+2=50']
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,50 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 50:[34, 24], Operations: ['33-31=2', '48/2=24']
Exploring Operation: 34+24=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 34*24=816, Resulting Numbers: [816]
816,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 50:[33, 48, 3], Operations: ['34-31=3']
Exploring Operation: 48-33=15, Resulting Numbers: [3, 15]
Generated Node #0,4,0: 50:[3, 15] Operation: 48-33=15
Exploring Operation: 48+3=51, Resulting Numbers: [33, 51]
Generated Node #0,4,1: 50:[33, 51] Operation: 48+3=51
Exploring Operation: 33/3=11, Resulting Numbers: [48, 11]
Generated Node #0,4,2: 50:[48, 11] Operation: 33/3=11
Exploring Operation: 33-3=30, Resulting Numbers: [48, 30]
Generated Node #0,4,3: 50:[48, 30] Operation: 33-3=30
Exploring Operation: 33+3=36, Resulting Numbers: [48, 36]
Generated Node #0,4,4: 50:[48, 36] Operation: 33+3=36
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 50:[48, 11], Operations: ['34-31=3', '33/3=11']
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 50:[3, 15], Operations: ['34-31=3', '48-33=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 50:[48, 30], Operations: ['34-31=3', '33-3=30']
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,50 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 50:[33, 51], Operations: ['34-31=3', '48+3=51']
Exploring Operation: 33+51=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,50 unequal: No Solution
Exploring Operation: 33*51=1683, Resulting Numbers: [1683]
1683,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 50:[48, 36], Operations: ['34-31=3', '33+3=36']
Exploring Operation: 48+36=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 48-36=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Exploring Operation: 48*36=1728, Resulting Numbers: [1728]
1728,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[33, 31, 14], Operations: ['48-34=14']
Exploring Operation: 31-14=17, Resulting Numbers: [33, 17]
Generated Node #0,2,0: 50:[33, 17] Operation: 31-14=17
Exploring Operation: 33+14=47, Resulting Numbers: [31, 47]
Generated Node #0,2,1: 50:[31, 47] Operation: 33+14=47
Exploring Operation: 33-31=2, Resulting Numbers: [14, 2]
Generated Node #0,2,2: 50:[14, 2] Operation: 33-31=2
Exploring Operation: 31+14=45, Resulting Numbers: [33, 45]
Generated Node #0,2,3: 50:[33, 45] Operation: 31+14=45
Exploring Operation: 33-14=19, Resulting Numbers: [31, 19]
Generated Node #0,2,4: 50:[31, 19] Operation: 33-14=19
Moving to Node #0,2,2
Current State: 50:[14, 2], Operations: ['48-34=14', '33-31=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,50 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[31, 47], Operations: ['48-34=14', '33+14=47']
Exploring Operation: 31+47=78, Resulting Numbers: [78]
78,50 unequal: No Solution
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 31*47=1457, Resulting Numbers: [1457]
1457,50 unequal: No Solution
Moving to Node #0,2,4
Current State: 50:[31, 19], Operations: ['48-34=14', '33-14=19']
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,50 unequal: No Solution
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[33, 31, 34, 48], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [33, 31, 14]
Generated Node #0,2: 50:[33, 31, 14] Operation: 48-34=14
Moving to Node #0,2
Current State: 50:[33, 31, 14], Operations: ['48-34=14']
Exploring Operation: 33-14=19, Resulting Numbers: [31, 19]
Generated Node #0,2,4: 50:[31, 19] Operation: 33-14=19
Moving to Node #0,2,4
Current State: 50:[31, 19], Operations: ['48-34=14', '33-14=19']
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.925347 | hs_5 | mult_heuristic |
[
83,
38,
93,
13
] | 92 | [
"93-83=10",
"13*10=130",
"130-38=92"
] | Current State: 92:[83, 38, 93, 13], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [38, 13, 10]
Generated Node #2: [38, 13, 10] from Operation: 93-83=10
Current State: 92:[38, 13, 10], Operations: ['93-83=10']
Exploring Operation: 13*10=130, Resulting Numbers: [38, 130]
Generated Node #3: [38, 130] from Operation: 13*10=130
Current State: 92:[38, 130], Operations: ['93-83=10', '13*10=130']
Exploring Operation: 130-38=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[83, 38, 93, 13], Operations: []
Exploring Operation: 83+13=96, Resulting Numbers: [38, 93, 96]
Generated Node #0,0: 92:[38, 93, 96] Operation: 83+13=96
Exploring Operation: 93-83=10, Resulting Numbers: [38, 13, 10]
Generated Node #0,1: 92:[38, 13, 10] Operation: 93-83=10
Exploring Operation: 83-38=45, Resulting Numbers: [93, 13, 45]
Generated Node #0,2: 92:[93, 13, 45] Operation: 83-38=45
Exploring Operation: 38-13=25, Resulting Numbers: [83, 93, 25]
Generated Node #0,3: 92:[83, 93, 25] Operation: 38-13=25
Exploring Operation: 38+13=51, Resulting Numbers: [83, 93, 51]
Generated Node #0,4: 92:[83, 93, 51] Operation: 38+13=51
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[93, 13, 45], Operations: ['83-38=45']
Exploring Operation: 93+13=106, Resulting Numbers: [45, 106]
Generated Node #0,2,0: 92:[45, 106] Operation: 93+13=106
Exploring Operation: 45-13=32, Resulting Numbers: [93, 32]
Generated Node #0,2,1: 92:[93, 32] Operation: 45-13=32
Exploring Operation: 93-45=48, Resulting Numbers: [13, 48]
Generated Node #0,2,2: 92:[13, 48] Operation: 93-45=48
Exploring Operation: 13+45=58, Resulting Numbers: [93, 58]
Generated Node #0,2,3: 92:[93, 58] Operation: 13+45=58
Exploring Operation: 93-13=80, Resulting Numbers: [45, 80]
Generated Node #0,2,4: 92:[45, 80] Operation: 93-13=80
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[93, 32], Operations: ['83-38=45', '45-13=32']
Exploring Operation: 93*32=2976, Resulting Numbers: [2976]
2976,92 unequal: No Solution
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 93+32=125, Resulting Numbers: [125]
125,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[13, 48], Operations: ['83-38=45', '93-45=48']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 13*48=624, Resulting Numbers: [624]
624,92 unequal: No Solution
Exploring Operation: 13+48=61, Resulting Numbers: [61]
61,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[93, 58], Operations: ['83-38=45', '13+45=58']
Exploring Operation: 93*58=5394, Resulting Numbers: [5394]
5394,92 unequal: No Solution
Exploring Operation: 93-58=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 93+58=151, Resulting Numbers: [151]
151,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[45, 80], Operations: ['83-38=45', '93-13=80']
Exploring Operation: 45+80=125, Resulting Numbers: [125]
125,92 unequal: No Solution
Exploring Operation: 45*80=3600, Resulting Numbers: [3600]
3600,92 unequal: No Solution
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[45, 106], Operations: ['83-38=45', '93+13=106']
Exploring Operation: 106-45=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 45*106=4770, Resulting Numbers: [4770]
4770,92 unequal: No Solution
Exploring Operation: 45+106=151, Resulting Numbers: [151]
151,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[83, 93, 25], Operations: ['38-13=25']
Exploring Operation: 83+25=108, Resulting Numbers: [93, 108]
Generated Node #0,3,0: 92:[93, 108] Operation: 83+25=108
Exploring Operation: 83-25=58, Resulting Numbers: [93, 58]
Generated Node #0,3,1: 92:[93, 58] Operation: 83-25=58
Exploring Operation: 93-25=68, Resulting Numbers: [83, 68]
Generated Node #0,3,2: 92:[83, 68] Operation: 93-25=68
Exploring Operation: 93+25=118, Resulting Numbers: [83, 118]
Generated Node #0,3,3: 92:[83, 118] Operation: 93+25=118
Exploring Operation: 93-83=10, Resulting Numbers: [25, 10]
Generated Node #0,3,4: 92:[25, 10] Operation: 93-83=10
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 92:[25, 10], Operations: ['38-13=25', '93-83=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 92:[93, 58], Operations: ['38-13=25', '83-25=58']
Exploring Operation: 93*58=5394, Resulting Numbers: [5394]
5394,92 unequal: No Solution
Exploring Operation: 93-58=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 93+58=151, Resulting Numbers: [151]
151,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 92:[93, 108], Operations: ['38-13=25', '83+25=108']
Exploring Operation: 93+108=201, Resulting Numbers: [201]
201,92 unequal: No Solution
Exploring Operation: 108-93=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 93*108=10044, Resulting Numbers: [10044]
10044,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[83, 68], Operations: ['38-13=25', '93-25=68']
Exploring Operation: 83*68=5644, Resulting Numbers: [5644]
5644,92 unequal: No Solution
Exploring Operation: 83+68=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[83, 118], Operations: ['38-13=25', '93+25=118']
Exploring Operation: 83+118=201, Resulting Numbers: [201]
201,92 unequal: No Solution
Exploring Operation: 118-83=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 83*118=9794, Resulting Numbers: [9794]
9794,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[38, 93, 96], Operations: ['83+13=96']
Exploring Operation: 93-38=55, Resulting Numbers: [96, 55]
Generated Node #0,0,0: 92:[96, 55] Operation: 93-38=55
Exploring Operation: 38+93=131, Resulting Numbers: [96, 131]
Generated Node #0,0,1: 92:[96, 131] Operation: 38+93=131
Exploring Operation: 96-93=3, Resulting Numbers: [38, 3]
Generated Node #0,0,2: 92:[38, 3] Operation: 96-93=3
Exploring Operation: 38+96=134, Resulting Numbers: [93, 134]
Generated Node #0,0,3: 92:[93, 134] Operation: 38+96=134
Exploring Operation: 96-38=58, Resulting Numbers: [93, 58]
Generated Node #0,0,4: 92:[93, 58] Operation: 96-38=58
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[38, 3], Operations: ['83+13=96', '96-93=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[96, 55], Operations: ['83+13=96', '93-38=55']
Exploring Operation: 96+55=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 96*55=5280, Resulting Numbers: [5280]
5280,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 92:[93, 58], Operations: ['83+13=96', '96-38=58']
Exploring Operation: 93*58=5394, Resulting Numbers: [5394]
5394,92 unequal: No Solution
Exploring Operation: 93+58=151, Resulting Numbers: [151]
151,92 unequal: No Solution
Exploring Operation: 93-58=35, Resulting Numbers: [35]
35,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[96, 131], Operations: ['83+13=96', '38+93=131']
Exploring Operation: 96*131=12576, Resulting Numbers: [12576]
12576,92 unequal: No Solution
Exploring Operation: 96+131=227, Resulting Numbers: [227]
227,92 unequal: No Solution
Exploring Operation: 131-96=35, Resulting Numbers: [35]
35,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 92:[93, 134], Operations: ['83+13=96', '38+96=134']
Exploring Operation: 93*134=12462, Resulting Numbers: [12462]
12462,92 unequal: No Solution
Exploring Operation: 134-93=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 93+134=227, Resulting Numbers: [227]
227,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[83, 93, 51], Operations: ['38+13=51']
Exploring Operation: 83-51=32, Resulting Numbers: [93, 32]
Generated Node #0,4,0: 92:[93, 32] Operation: 83-51=32
Exploring Operation: 93+51=144, Resulting Numbers: [83, 144]
Generated Node #0,4,1: 92:[83, 144] Operation: 93+51=144
Exploring Operation: 93-51=42, Resulting Numbers: [83, 42]
Generated Node #0,4,2: 92:[83, 42] Operation: 93-51=42
Exploring Operation: 93-83=10, Resulting Numbers: [51, 10]
Generated Node #0,4,3: 92:[51, 10] Operation: 93-83=10
Exploring Operation: 83+51=134, Resulting Numbers: [93, 134]
Generated Node #0,4,4: 92:[93, 134] Operation: 83+51=134
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 92:[93, 32], Operations: ['38+13=51', '83-51=32']
Exploring Operation: 93+32=125, Resulting Numbers: [125]
125,92 unequal: No Solution
Exploring Operation: 93*32=2976, Resulting Numbers: [2976]
2976,92 unequal: No Solution
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 92:[51, 10], Operations: ['38+13=51', '93-83=10']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 51*10=510, Resulting Numbers: [510]
510,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 92:[83, 42], Operations: ['38+13=51', '93-51=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 83+42=125, Resulting Numbers: [125]
125,92 unequal: No Solution
Exploring Operation: 83*42=3486, Resulting Numbers: [3486]
3486,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 92:[93, 134], Operations: ['38+13=51', '83+51=134']
Exploring Operation: 93+134=227, Resulting Numbers: [227]
227,92 unequal: No Solution
Exploring Operation: 134-93=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 93*134=12462, Resulting Numbers: [12462]
12462,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 92:[83, 144], Operations: ['38+13=51', '93+51=144']
Exploring Operation: 144-83=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 83*144=11952, Resulting Numbers: [11952]
11952,92 unequal: No Solution
Exploring Operation: 83+144=227, Resulting Numbers: [227]
227,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[38, 13, 10], Operations: ['93-83=10']
Exploring Operation: 38+10=48, Resulting Numbers: [13, 48]
Generated Node #0,1,0: 92:[13, 48] Operation: 38+10=48
Exploring Operation: 38-13=25, Resulting Numbers: [10, 25]
Generated Node #0,1,1: 92:[10, 25] Operation: 38-13=25
Exploring Operation: 13-10=3, Resulting Numbers: [38, 3]
Generated Node #0,1,2: 92:[38, 3] Operation: 13-10=3
Exploring Operation: 13+10=23, Resulting Numbers: [38, 23]
Generated Node #0,1,3: 92:[38, 23] Operation: 13+10=23
Exploring Operation: 38+13=51, Resulting Numbers: [10, 51]
Generated Node #0,1,4: 92:[10, 51] Operation: 38+13=51
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[10, 25], Operations: ['93-83=10', '38-13=25']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[38, 23], Operations: ['93-83=10', '13+10=23']
Exploring Operation: 38*23=874, Resulting Numbers: [874]
874,92 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 38+23=61, Resulting Numbers: [61]
61,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[38, 3], Operations: ['93-83=10', '13-10=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,92 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[13, 48], Operations: ['93-83=10', '38+10=48']
Exploring Operation: 13*48=624, Resulting Numbers: [624]
624,92 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,92 unequal: No Solution
Exploring Operation: 13+48=61, Resulting Numbers: [61]
61,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 92:[10, 51], Operations: ['93-83=10', '38+13=51']
Exploring Operation: 10+51=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 10*51=510, Resulting Numbers: [510]
510,92 unequal: No Solution
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
7,
76,
19,
35
] | 92 | [
"7*19=133",
"76-35=41",
"133-41=92"
] | Current State: 92:[7, 76, 19, 35], Operations: []
Exploring Operation: 7*19=133, Resulting Numbers: [76, 35, 133]
Generated Node #2: [76, 35, 133] from Operation: 7*19=133
Current State: 92:[76, 35, 133], Operations: ['7*19=133']
Exploring Operation: 76-35=41, Resulting Numbers: [133, 41]
Generated Node #3: [133, 41] from Operation: 76-35=41
Current State: 92:[133, 41], Operations: ['7*19=133', '76-35=41']
Exploring Operation: 133-41=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[7, 76, 19, 35], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [76, 19, 5]
Generated Node #0,0: 92:[76, 19, 5] Operation: 35/7=5
Exploring Operation: 76+19=95, Resulting Numbers: [7, 35, 95]
Generated Node #0,1: 92:[7, 35, 95] Operation: 76+19=95
Exploring Operation: 76-35=41, Resulting Numbers: [7, 19, 41]
Generated Node #0,2: 92:[7, 19, 41] Operation: 76-35=41
Exploring Operation: 76/19=4, Resulting Numbers: [7, 35, 4]
Generated Node #0,3: 92:[7, 35, 4] Operation: 76/19=4
Moving to Node #0,2
Current State: 92:[7, 19, 41], Operations: ['76-35=41']
Exploring Operation: 7+41=48, Resulting Numbers: [19, 48]
Generated Node #0,2,0: 92:[19, 48] Operation: 7+41=48
Exploring Operation: 7+19=26, Resulting Numbers: [41, 26]
Generated Node #0,2,1: 92:[41, 26] Operation: 7+19=26
Exploring Operation: 41-19=22, Resulting Numbers: [7, 22]
Generated Node #0,2,2: 92:[7, 22] Operation: 41-19=22
Exploring Operation: 19-7=12, Resulting Numbers: [41, 12]
Generated Node #0,2,3: 92:[41, 12] Operation: 19-7=12
Moving to Node #0,3
Current State: 92:[7, 35, 4], Operations: ['76/19=4']
Exploring Operation: 35-7=28, Resulting Numbers: [4, 28]
Generated Node #0,3,0: 92:[4, 28] Operation: 35-7=28
Exploring Operation: 35+4=39, Resulting Numbers: [7, 39]
Generated Node #0,3,1: 92:[7, 39] Operation: 35+4=39
Exploring Operation: 7+35=42, Resulting Numbers: [4, 42]
Generated Node #0,3,2: 92:[4, 42] Operation: 7+35=42
Exploring Operation: 35/7=5, Resulting Numbers: [4, 5]
Generated Node #0,3,3: 92:[4, 5] Operation: 35/7=5
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 92:[4, 5], Operations: ['76/19=4', '35/7=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 92:[4, 42], Operations: ['76/19=4', '7+35=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,92 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 92:[4, 28], Operations: ['76/19=4', '35-7=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,92 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 92:[7, 39], Operations: ['76/19=4', '35+4=39']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,92 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 92:[7, 35, 95], Operations: ['76+19=95']
Exploring Operation: 95-7=88, Resulting Numbers: [35, 88]
Generated Node #0,1,0: 92:[35, 88] Operation: 95-7=88
Exploring Operation: 35-7=28, Resulting Numbers: [95, 28]
Generated Node #0,1,1: 92:[95, 28] Operation: 35-7=28
Exploring Operation: 35/7=5, Resulting Numbers: [95, 5]
Generated Node #0,1,2: 92:[95, 5] Operation: 35/7=5
Exploring Operation: 7+35=42, Resulting Numbers: [95, 42]
Generated Node #0,1,3: 92:[95, 42] Operation: 7+35=42
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 92:[95, 5], Operations: ['76+19=95', '35/7=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 95*5=475, Resulting Numbers: [475]
475,92 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[95, 42], Operations: ['76+19=95', '7+35=42']
Exploring Operation: 95*42=3990, Resulting Numbers: [3990]
3990,92 unequal: No Solution
Exploring Operation: 95-42=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 95+42=137, Resulting Numbers: [137]
137,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[95, 28], Operations: ['76+19=95', '35-7=28']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Exploring Operation: 95*28=2660, Resulting Numbers: [2660]
2660,92 unequal: No Solution
Exploring Operation: 95+28=123, Resulting Numbers: [123]
123,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[35, 88], Operations: ['76+19=95', '95-7=88']
Exploring Operation: 35*88=3080, Resulting Numbers: [3080]
3080,92 unequal: No Solution
Exploring Operation: 35+88=123, Resulting Numbers: [123]
123,92 unequal: No Solution
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,92 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: 92:[76, 19, 5], Operations: ['35/7=5']
Exploring Operation: 76+19=95, Resulting Numbers: [5, 95]
Generated Node #0,0,0: 92:[5, 95] Operation: 76+19=95
Exploring Operation: 76-19=57, Resulting Numbers: [5, 57]
Generated Node #0,0,1: 92:[5, 57] Operation: 76-19=57
Exploring Operation: 76+5=81, Resulting Numbers: [19, 81]
Generated Node #0,0,2: 92:[19, 81] Operation: 76+5=81
Exploring Operation: 76/19=4, Resulting Numbers: [5, 4]
Generated Node #0,0,3: 92:[5, 4] Operation: 76/19=4
Moving to Node #0,0,3
Current State: 92:[5, 4], Operations: ['35/7=5', '76/19=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[5, 95], Operations: ['35/7=5', '76+19=95']
Exploring Operation: 5*95=475, Resulting Numbers: [475]
475,92 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[7, 22], Operations: ['76-35=41', '41-19=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[19, 48], Operations: ['76-35=41', '7+41=48']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Exploring Operation: 19*48=912, Resulting Numbers: [912]
912,92 unequal: No Solution
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[41, 26], Operations: ['76-35=41', '7+19=26']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 41*26=1066, Resulting Numbers: [1066]
1066,92 unequal: No Solution
Exploring Operation: 41+26=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[5, 57], Operations: ['35/7=5', '76-19=57']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 5*57=285, Resulting Numbers: [285]
285,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[41, 12], Operations: ['76-35=41', '19-7=12']
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Exploring Operation: 41*12=492, Resulting Numbers: [492]
492,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[19, 81], Operations: ['35/7=5', '76+5=81']
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 19*81=1539, Resulting Numbers: [1539]
1539,92 unequal: No Solution
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,92 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
25,
65,
62,
20
] | 85 | [
"65-62=3",
"20*3=60",
"25+60=85"
] | Current State: 85:[25, 65, 62, 20], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [25, 20, 3]
Generated Node #2: [25, 20, 3] from Operation: 65-62=3
Current State: 85:[25, 20, 3], Operations: ['65-62=3']
Exploring Operation: 20*3=60, Resulting Numbers: [25, 60]
Generated Node #3: [25, 60] from Operation: 20*3=60
Current State: 85:[25, 60], Operations: ['65-62=3', '20*3=60']
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[25, 65, 62, 20], Operations: []
Exploring Operation: 65+20=85, Resulting Numbers: [25, 62, 85]
Generated Node #0,0: 85:[25, 62, 85] Operation: 65+20=85
Exploring Operation: 25+65=90, Resulting Numbers: [62, 20, 90]
Generated Node #0,1: 85:[62, 20, 90] Operation: 25+65=90
Exploring Operation: 25+62=87, Resulting Numbers: [65, 20, 87]
Generated Node #0,2: 85:[65, 20, 87] Operation: 25+62=87
Exploring Operation: 65-62=3, Resulting Numbers: [25, 20, 3]
Generated Node #0,3: 85:[25, 20, 3] Operation: 65-62=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[25, 20, 3], Operations: ['65-62=3']
Exploring Operation: 20-3=17, Resulting Numbers: [25, 17]
Generated Node #0,3,0: 85:[25, 17] Operation: 20-3=17
Exploring Operation: 25*3=75, Resulting Numbers: [20, 75]
Generated Node #0,3,1: 85:[20, 75] Operation: 25*3=75
Exploring Operation: 25-20=5, Resulting Numbers: [3, 5]
Generated Node #0,3,2: 85:[3, 5] Operation: 25-20=5
Exploring Operation: 25-3=22, Resulting Numbers: [20, 22]
Generated Node #0,3,3: 85:[20, 22] Operation: 25-3=22
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 85:[3, 5], Operations: ['65-62=3', '25-20=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 85:[25, 17], Operations: ['65-62=3', '20-3=17']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 85:[20, 22], Operations: ['65-62=3', '25-3=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,85 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 85:[20, 75], Operations: ['65-62=3', '25*3=75']
Exploring Operation: 20*75=1500, Resulting Numbers: [1500]
1500,85 unequal: No Solution
Exploring Operation: 20+75=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[65, 20, 87], Operations: ['25+62=87']
Exploring Operation: 87-20=67, Resulting Numbers: [65, 67]
Generated Node #0,2,0: 85:[65, 67] Operation: 87-20=67
Exploring Operation: 87-65=22, Resulting Numbers: [20, 22]
Generated Node #0,2,1: 85:[20, 22] Operation: 87-65=22
Exploring Operation: 65+20=85, Resulting Numbers: [87, 85]
Generated Node #0,2,2: 85:[87, 85] Operation: 65+20=85
Exploring Operation: 65-20=45, Resulting Numbers: [87, 45]
Generated Node #0,2,3: 85:[87, 45] Operation: 65-20=45
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[87, 85], Operations: ['25+62=87', '65+20=85']
Exploring Operation: 87-85=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 87+85=172, Resulting Numbers: [172]
172,85 unequal: No Solution
Exploring Operation: 87*85=7395, Resulting Numbers: [7395]
7395,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[20, 22], Operations: ['25+62=87', '87-65=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,85 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 85:[87, 45], Operations: ['25+62=87', '65-20=45']
Exploring Operation: 87+45=132, Resulting Numbers: [132]
132,85 unequal: No Solution
Exploring Operation: 87*45=3915, Resulting Numbers: [3915]
3915,85 unequal: No Solution
Exploring Operation: 87-45=42, Resulting Numbers: [42]
42,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[65, 67], Operations: ['25+62=87', '87-20=67']
Exploring Operation: 65+67=132, Resulting Numbers: [132]
132,85 unequal: No Solution
Exploring Operation: 65*67=4355, Resulting Numbers: [4355]
4355,85 unequal: No Solution
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[25, 62, 85], Operations: ['65+20=85']
Exploring Operation: 85-62=23, Resulting Numbers: [25, 23]
Generated Node #0,0,0: 85:[25, 23] Operation: 85-62=23
Exploring Operation: 25+62=87, Resulting Numbers: [85, 87]
Generated Node #0,0,1: 85:[85, 87] Operation: 25+62=87
Exploring Operation: 25+85=110, Resulting Numbers: [62, 110]
Generated Node #0,0,2: 85:[62, 110] Operation: 25+85=110
Exploring Operation: 62-25=37, Resulting Numbers: [85, 37]
Generated Node #0,0,3: 85:[85, 37] Operation: 62-25=37
Moving to Node #0,0,1
Current State: 85:[85, 87], Operations: ['65+20=85', '25+62=87']
Exploring Operation: 85*87=7395, Resulting Numbers: [7395]
7395,85 unequal: No Solution
Exploring Operation: 87-85=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 85+87=172, Resulting Numbers: [172]
172,85 unequal: No Solution
Moving to Node #0,0,0
Current State: 85:[25, 23], Operations: ['65+20=85', '85-62=23']
Exploring Operation: 25*23=575, Resulting Numbers: [575]
575,85 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Moving to Node #0,0,3
Current State: 85:[85, 37], Operations: ['65+20=85', '62-25=37']
Exploring Operation: 85+37=122, Resulting Numbers: [122]
122,85 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 85*37=3145, Resulting Numbers: [3145]
3145,85 unequal: No Solution
Moving to Node #0,0,2
Current State: 85:[62, 110], Operations: ['65+20=85', '25+85=110']
Exploring Operation: 110-62=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 62+110=172, Resulting Numbers: [172]
172,85 unequal: No Solution
Exploring Operation: 62*110=6820, Resulting Numbers: [6820]
6820,85 unequal: No Solution
No 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: 85:[62, 20, 90], Operations: ['25+65=90']
Exploring Operation: 90-20=70, Resulting Numbers: [62, 70]
Generated Node #0,1,0: 85:[62, 70] Operation: 90-20=70
Exploring Operation: 62+20=82, Resulting Numbers: [90, 82]
Generated Node #0,1,1: 85:[90, 82] Operation: 62+20=82
Exploring Operation: 90-62=28, Resulting Numbers: [20, 28]
Generated Node #0,1,2: 85:[20, 28] Operation: 90-62=28
Exploring Operation: 62-20=42, Resulting Numbers: [90, 42]
Generated Node #0,1,3: 85:[90, 42] Operation: 62-20=42
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[90, 82], Operations: ['25+65=90', '62+20=82']
Exploring Operation: 90+82=172, Resulting Numbers: [172]
172,85 unequal: No Solution
Exploring Operation: 90*82=7380, Resulting Numbers: [7380]
7380,85 unequal: No Solution
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[20, 28], Operations: ['25+65=90', '90-62=28']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[90, 42], Operations: ['25+65=90', '62-20=42']
Exploring Operation: 90+42=132, Resulting Numbers: [132]
132,85 unequal: No Solution
Exploring Operation: 90*42=3780, Resulting Numbers: [3780]
3780,85 unequal: No Solution
Exploring Operation: 90-42=48, Resulting Numbers: [48]
48,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[62, 70], Operations: ['25+65=90', '90-20=70']
Exploring Operation: 62+70=132, Resulting Numbers: [132]
132,85 unequal: No Solution
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 62*70=4340, Resulting Numbers: [4340]
4340,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
71,
7,
32,
24
] | 86 | [
"71+7=78",
"32-24=8",
"78+8=86"
] | Current State: 86:[71, 7, 32, 24], Operations: []
Exploring Operation: 71+7=78, Resulting Numbers: [32, 24, 78]
Generated Node #2: [32, 24, 78] from Operation: 71+7=78
Current State: 86:[32, 24, 78], Operations: ['71+7=78']
Exploring Operation: 32-24=8, Resulting Numbers: [78, 8]
Generated Node #3: [78, 8] from Operation: 32-24=8
Current State: 86:[78, 8], Operations: ['71+7=78', '32-24=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[71, 7, 32, 24], Operations: []
Exploring Operation: 71-24=47, Resulting Numbers: [7, 32, 47]
Generated Node #0,0: 86:[7, 32, 47] Operation: 71-24=47
Exploring Operation: 71+24=95, Resulting Numbers: [7, 32, 95]
Generated Node #0,1: 86:[7, 32, 95] Operation: 71+24=95
Moving to Node #0,0
Current State: 86:[7, 32, 47], Operations: ['71-24=47']
Exploring Operation: 32+47=79, Resulting Numbers: [7, 79]
Generated Node #0,0,0: 86:[7, 79] Operation: 32+47=79
Exploring Operation: 7+32=39, Resulting Numbers: [47, 39]
Generated Node #0,0,1: 86:[47, 39] Operation: 7+32=39
Moving to Node #0,1
Current State: 86:[7, 32, 95], Operations: ['71+24=95']
Exploring Operation: 95-7=88, Resulting Numbers: [32, 88]
Generated Node #0,1,0: 86:[32, 88] Operation: 95-7=88
Exploring Operation: 7+32=39, Resulting Numbers: [95, 39]
Generated Node #0,1,1: 86:[95, 39] Operation: 7+32=39
Moving to Node #0,0,1
Current State: 86:[47, 39], Operations: ['71-24=47', '7+32=39']
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[71, 7, 32, 24], Operations: []
Exploring Operation: 71-24=47, Resulting Numbers: [7, 32, 47]
Generated Node #0,0: 86:[7, 32, 47] Operation: 71-24=47
Moving to Node #0,0
Current State: 86:[7, 32, 47], Operations: ['71-24=47']
Exploring Operation: 7+32=39, Resulting Numbers: [47, 39]
Generated Node #0,0,1: 86:[47, 39] Operation: 7+32=39
Moving to Node #0,0,1
Current State: 86:[47, 39], Operations: ['71-24=47', '7+32=39']
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
62,
10,
72,
79
] | 21 | [
"72-62=10",
"10*10=100",
"100-79=21"
] | Current State: 21:[62, 10, 72, 79], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [10, 79, 10]
Generated Node #2: [10, 79, 10] from Operation: 72-62=10
Current State: 21:[10, 79, 10], Operations: ['72-62=10']
Exploring Operation: 10*10=100, Resulting Numbers: [79, 100]
Generated Node #3: [79, 100] from Operation: 10*10=100
Current State: 21:[79, 100], Operations: ['72-62=10', '10*10=100']
Exploring Operation: 100-79=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[62, 10, 72, 79], Operations: []
Exploring Operation: 79-62=17, Resulting Numbers: [10, 72, 17]
Generated Node #0,0: 21:[10, 72, 17] Operation: 79-62=17
Exploring Operation: 72-62=10, Resulting Numbers: [10, 79, 10]
Generated Node #0,1: 21:[10, 79, 10] Operation: 72-62=10
Exploring Operation: 62-10=52, Resulting Numbers: [72, 79, 52]
Generated Node #0,2: 21:[72, 79, 52] Operation: 62-10=52
Exploring Operation: 72-10=62, Resulting Numbers: [62, 79, 62]
Generated Node #0,3: 21:[62, 79, 62] Operation: 72-10=62
Exploring Operation: 79-72=7, Resulting Numbers: [62, 10, 7]
Generated Node #0,4: 21:[62, 10, 7] Operation: 79-72=7
Start Sub Search at level 1: Moving to Node #0,4
Current State: 21:[62, 10, 7], Operations: ['79-72=7']
Exploring Operation: 62-7=55, Resulting Numbers: [10, 55]
Generated Node #0,4,0: 21:[10, 55] Operation: 62-7=55
Exploring Operation: 10-7=3, Resulting Numbers: [62, 3]
Generated Node #0,4,1: 21:[62, 3] Operation: 10-7=3
Exploring Operation: 62+10=72, Resulting Numbers: [7, 72]
Generated Node #0,4,2: 21:[7, 72] Operation: 62+10=72
Exploring Operation: 62-10=52, Resulting Numbers: [7, 52]
Generated Node #0,4,3: 21:[7, 52] Operation: 62-10=52
Exploring Operation: 10+7=17, Resulting Numbers: [62, 17]
Generated Node #0,4,4: 21:[62, 17] Operation: 10+7=17
Moving to Node #0,4,3
Current State: 21:[7, 52], Operations: ['79-72=7', '62-10=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,21 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,21 unequal: No Solution
Moving to Node #0,4,0
Current State: 21:[10, 55], Operations: ['79-72=7', '62-7=55']
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 10+55=65, Resulting Numbers: [65]
65,21 unequal: No Solution
Exploring Operation: 10*55=550, Resulting Numbers: [550]
550,21 unequal: No Solution
Moving to Node #0,4,1
Current State: 21:[62, 3], Operations: ['79-72=7', '10-7=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,21 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,21 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,21 unequal: No Solution
Moving to Node #0,4,4
Current State: 21:[62, 17], Operations: ['79-72=7', '10+7=17']
Exploring Operation: 62+17=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 62*17=1054, Resulting Numbers: [1054]
1054,21 unequal: No Solution
Moving to Node #0,4,2
Current State: 21:[7, 72], Operations: ['79-72=7', '62+10=72']
Exploring Operation: 7*72=504, Resulting Numbers: [504]
504,21 unequal: No Solution
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[10, 72, 17], Operations: ['79-62=17']
Exploring Operation: 72-17=55, Resulting Numbers: [10, 55]
Generated Node #0,0,0: 21:[10, 55] Operation: 72-17=55
Exploring Operation: 10+17=27, Resulting Numbers: [72, 27]
Generated Node #0,0,1: 21:[72, 27] Operation: 10+17=27
Exploring Operation: 17-10=7, Resulting Numbers: [72, 7]
Generated Node #0,0,2: 21:[72, 7] Operation: 17-10=7
Exploring Operation: 72-10=62, Resulting Numbers: [17, 62]
Generated Node #0,0,3: 21:[17, 62] Operation: 72-10=62
Exploring Operation: 10+72=82, Resulting Numbers: [17, 82]
Generated Node #0,0,4: 21:[17, 82] Operation: 10+72=82
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[10, 55], Operations: ['79-62=17', '72-17=55']
Exploring Operation: 10+55=65, Resulting Numbers: [65]
65,21 unequal: No Solution
Exploring Operation: 10*55=550, Resulting Numbers: [550]
550,21 unequal: No Solution
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 21:[17, 62], Operations: ['79-62=17', '72-10=62']
Exploring Operation: 17+62=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 17*62=1054, Resulting Numbers: [1054]
1054,21 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 21:[72, 7], Operations: ['79-62=17', '17-10=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,21 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[72, 27], Operations: ['79-62=17', '10+17=27']
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,21 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 21:[17, 82], Operations: ['79-62=17', '10+72=82']
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,21 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[10, 79, 10], Operations: ['72-62=10']
Exploring Operation: 79-10=69, Resulting Numbers: [10, 69]
Generated Node #0,1,0: 21:[10, 69] Operation: 79-10=69
Exploring Operation: 10-10=0, Resulting Numbers: [79, 0]
Generated Node #0,1,1: 21:[79, 0] Operation: 10-10=0
Exploring Operation: 10+10=20, Resulting Numbers: [79, 20]
Generated Node #0,1,2: 21:[79, 20] Operation: 10+10=20
Exploring Operation: 10/10=1, Resulting Numbers: [79, 1]
Generated Node #0,1,3: 21:[79, 1] Operation: 10/10=1
Exploring Operation: 79-10=69, Resulting Numbers: [10, 69]
Generated Node #0,1,4: 21:[10, 69] Operation: 79-10=69
Moving to Node #0,1,0
Current State: 21:[10, 69], Operations: ['72-62=10', '79-10=69']
Exploring Operation: 10+69=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 10*69=690, Resulting Numbers: [690]
690,21 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,21 unequal: No Solution
Moving to Node #0,1,4
Current State: 21:[10, 69], Operations: ['72-62=10', '79-10=69']
Exploring Operation: 10*69=690, Resulting Numbers: [690]
690,21 unequal: No Solution
Exploring Operation: 10+69=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[79, 20], Operations: ['72-62=10', '10+10=20']
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,21 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[79, 1], Operations: ['72-62=10', '10/10=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[79, 0], Operations: ['72-62=10', '10-10=0']
Exploring Operation: 79-0=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 79*0=0, Resulting Numbers: [0]
0,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[72, 79, 52], Operations: ['62-10=52']
Exploring Operation: 72+79=151, Resulting Numbers: [52, 151]
Generated Node #0,2,0: 21:[52, 151] Operation: 72+79=151
Exploring Operation: 72+52=124, Resulting Numbers: [79, 124]
Generated Node #0,2,1: 21:[79, 124] Operation: 72+52=124
Exploring Operation: 79-52=27, Resulting Numbers: [72, 27]
Generated Node #0,2,2: 21:[72, 27] Operation: 79-52=27
Exploring Operation: 79-72=7, Resulting Numbers: [52, 7]
Generated Node #0,2,3: 21:[52, 7] Operation: 79-72=7
Exploring Operation: 72-52=20, Resulting Numbers: [79, 20]
Generated Node #0,2,4: 21:[79, 20] Operation: 72-52=20
Moving to Node #0,2,3
Current State: 21:[52, 7], Operations: ['62-10=52', '79-72=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,21 unequal: No Solution
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[72, 27], Operations: ['62-10=52', '79-52=27']
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,21 unequal: No Solution
Moving to Node #0,2,4
Current State: 21:[79, 20], Operations: ['62-10=52', '72-52=20']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,21 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,21 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[52, 151], Operations: ['62-10=52', '72+79=151']
Exploring Operation: 151-52=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 52+151=203, Resulting Numbers: [203]
203,21 unequal: No Solution
Exploring Operation: 52*151=7852, Resulting Numbers: [7852]
7852,21 unequal: No Solution
Moving to Node #0,2,1
Current State: 21:[79, 124], Operations: ['62-10=52', '72+52=124']
Exploring Operation: 124-79=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 79+124=203, Resulting Numbers: [203]
203,21 unequal: No Solution
Exploring Operation: 79*124=9796, Resulting Numbers: [9796]
9796,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 21:[62, 79, 62], Operations: ['72-10=62']
Exploring Operation: 79-62=17, Resulting Numbers: [62, 17]
Generated Node #0,3,0: 21:[62, 17] Operation: 79-62=17
Exploring Operation: 79-62=17, Resulting Numbers: [62, 17]
Generated Node #0,3,1: 21:[62, 17] Operation: 79-62=17
Exploring Operation: 62+79=141, Resulting Numbers: [62, 141]
Generated Node #0,3,2: 21:[62, 141] Operation: 62+79=141
Exploring Operation: 62/62=1, Resulting Numbers: [79, 1]
Generated Node #0,3,3: 21:[79, 1] Operation: 62/62=1
Exploring Operation: 62-62=0, Resulting Numbers: [79, 0]
Generated Node #0,3,4: 21:[79, 0] Operation: 62-62=0
Moving to Node #0,3,0
Current State: 21:[62, 17], Operations: ['72-10=62', '79-62=17']
Exploring Operation: 62*17=1054, Resulting Numbers: [1054]
1054,21 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 62+17=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Moving to Node #0,3,1
Current State: 21:[62, 17], Operations: ['72-10=62', '79-62=17']
Exploring Operation: 62*17=1054, Resulting Numbers: [1054]
1054,21 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,21 unequal: No Solution
Exploring Operation: 62+17=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[79, 1], Operations: ['72-10=62', '62/62=1']
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Moving to Node #0,3,4
Current State: 21:[79, 0], Operations: ['72-10=62', '62-62=0']
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 79-0=79, Resulting Numbers: [79]
79,21 unequal: No Solution
Exploring Operation: 79*0=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[62, 141], Operations: ['72-10=62', '62+79=141']
Exploring Operation: 62*141=8742, Resulting Numbers: [8742]
8742,21 unequal: No Solution
Exploring Operation: 62+141=203, Resulting Numbers: [203]
203,21 unequal: No Solution
Exploring Operation: 141-62=79, Resulting Numbers: [79]
79,21 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 |
[
61,
17,
20,
17
] | 75 | [
"61+17=78",
"20-17=3",
"78-3=75"
] | Current State: 75:[61, 17, 20, 17], Operations: []
Exploring Operation: 61+17=78, Resulting Numbers: [20, 78]
Generated Node #2: [20, 78] from Operation: 61+17=78
Current State: 75:[20, 78], Operations: ['61+17=78']
Exploring Operation: 20-17=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 20-17=3
Current State: 75:[78, 3], Operations: ['61+17=78', '20-17=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[61, 17, 20, 17], Operations: []
Exploring Operation: 61+17=78, Resulting Numbers: [17, 20, 78]
Generated Node #0,0: 75:[17, 20, 78] Operation: 61+17=78
Exploring Operation: 61+20=81, Resulting Numbers: [17, 17, 81]
Generated Node #0,1: 75:[17, 17, 81] Operation: 61+20=81
Exploring Operation: 61+17=78, Resulting Numbers: [20, 17, 78]
Generated Node #0,2: 75:[20, 17, 78] Operation: 61+17=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[17, 20, 78], Operations: ['61+17=78']
Exploring Operation: 78-17=61, Resulting Numbers: [20, 61]
Generated Node #0,0,0: 75:[20, 61] Operation: 78-17=61
Exploring Operation: 17+20=37, Resulting Numbers: [78, 37]
Generated Node #0,0,1: 75:[78, 37] Operation: 17+20=37
Exploring Operation: 20-17=3, Resulting Numbers: [78, 3]
Generated Node #0,0,2: 75:[78, 3] Operation: 20-17=3
Moving to Node #0,0,2
Current State: 75:[78, 3], Operations: ['61+17=78', '20-17=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[61, 17, 20, 17], Operations: []
Exploring Operation: 61+17=78, Resulting Numbers: [17, 20, 78]
Generated Node #0,0: 75:[17, 20, 78] Operation: 61+17=78
Moving to Node #0,0
Current State: 75:[17, 20, 78], Operations: ['61+17=78']
Exploring Operation: 20-17=3, Resulting Numbers: [78, 3]
Generated Node #0,0,2: 75:[78, 3] Operation: 20-17=3
Moving to Node #0,0,2
Current State: 75:[78, 3], Operations: ['61+17=78', '20-17=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
76,
67,
85,
94
] | 92 | [
"67+85=152",
"152/76=2",
"94-2=92"
] | Current State: 92:[76, 67, 85, 94], Operations: []
Exploring Operation: 67+85=152, Resulting Numbers: [76, 94, 152]
Generated Node #2: [76, 94, 152] from Operation: 67+85=152
Current State: 92:[76, 94, 152], Operations: ['67+85=152']
Exploring Operation: 152/76=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 152/76=2
Current State: 92:[94, 2], Operations: ['67+85=152', '152/76=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[76, 67, 85, 94], Operations: []
Exploring Operation: 94-67=27, Resulting Numbers: [76, 85, 27]
Generated Node #0,0: 92:[76, 85, 27] Operation: 94-67=27
Exploring Operation: 76-67=9, Resulting Numbers: [85, 94, 9]
Generated Node #0,1: 92:[85, 94, 9] Operation: 76-67=9
Exploring Operation: 94-76=18, Resulting Numbers: [67, 85, 18]
Generated Node #0,2: 92:[67, 85, 18] Operation: 94-76=18
Exploring Operation: 85-76=9, Resulting Numbers: [67, 94, 9]
Generated Node #0,3: 92:[67, 94, 9] Operation: 85-76=9
Exploring Operation: 85-67=18, Resulting Numbers: [76, 94, 18]
Generated Node #0,4: 92:[76, 94, 18] Operation: 85-67=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[85, 94, 9], Operations: ['76-67=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85, 85]
Generated Node #0,1,0: 92:[85, 85] Operation: 94-9=85
Exploring Operation: 94+9=103, Resulting Numbers: [85, 103]
Generated Node #0,1,1: 92:[85, 103] Operation: 94+9=103
Exploring Operation: 94-85=9, Resulting Numbers: [9, 9]
Generated Node #0,1,2: 92:[9, 9] Operation: 94-85=9
Exploring Operation: 85+9=94, Resulting Numbers: [94, 94]
Generated Node #0,1,3: 92:[94, 94] Operation: 85+9=94
Exploring Operation: 85-9=76, Resulting Numbers: [94, 76]
Generated Node #0,1,4: 92:[94, 76] Operation: 85-9=76
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[94, 94], Operations: ['76-67=9', '85+9=94']
Exploring Operation: 94+94=188, Resulting Numbers: [188]
188,92 unequal: No Solution
Exploring Operation: 94/94=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 94-94=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 94*94=8836, Resulting Numbers: [8836]
8836,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[9, 9], Operations: ['76-67=9', '94-85=9']
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,92 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[85, 85], Operations: ['76-67=9', '94-9=85']
Exploring Operation: 85+85=170, Resulting Numbers: [170]
170,92 unequal: No Solution
Exploring Operation: 85/85=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 85*85=7225, Resulting Numbers: [7225]
7225,92 unequal: No Solution
Exploring Operation: 85-85=0, Resulting Numbers: [0]
0,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[85, 103], Operations: ['76-67=9', '94+9=103']
Exploring Operation: 85*103=8755, Resulting Numbers: [8755]
8755,92 unequal: No Solution
Exploring Operation: 103-85=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 85+103=188, Resulting Numbers: [188]
188,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 92:[94, 76], Operations: ['76-67=9', '85-9=76']
Exploring Operation: 94*76=7144, Resulting Numbers: [7144]
7144,92 unequal: No Solution
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 94+76=170, Resulting Numbers: [170]
170,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[76, 94, 18], Operations: ['85-67=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94, 94]
Generated Node #0,4,0: 92:[94, 94] Operation: 76+18=94
Exploring Operation: 94-18=76, Resulting Numbers: [76, 76]
Generated Node #0,4,1: 92:[76, 76] Operation: 94-18=76
Exploring Operation: 94-76=18, Resulting Numbers: [18, 18]
Generated Node #0,4,2: 92:[18, 18] Operation: 94-76=18
Exploring Operation: 94+18=112, Resulting Numbers: [76, 112]
Generated Node #0,4,3: 92:[76, 112] Operation: 94+18=112
Exploring Operation: 76-18=58, Resulting Numbers: [94, 58]
Generated Node #0,4,4: 92:[94, 58] Operation: 76-18=58
Moving to Node #0,4,0
Current State: 92:[94, 94], Operations: ['85-67=18', '76+18=94']
Exploring Operation: 94*94=8836, Resulting Numbers: [8836]
8836,92 unequal: No Solution
Exploring Operation: 94+94=188, Resulting Numbers: [188]
188,92 unequal: No Solution
Exploring Operation: 94/94=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 94-94=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Moving to Node #0,4,2
Current State: 92:[18, 18], Operations: ['85-67=18', '94-76=18']
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,92 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Moving to Node #0,4,4
Current State: 92:[94, 58], Operations: ['85-67=18', '76-18=58']
Exploring Operation: 94-58=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 94+58=152, Resulting Numbers: [152]
152,92 unequal: No Solution
Exploring Operation: 94*58=5452, Resulting Numbers: [5452]
5452,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[76, 76], Operations: ['85-67=18', '94-18=76']
Exploring Operation: 76-76=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 76*76=5776, Resulting Numbers: [5776]
5776,92 unequal: No Solution
Exploring Operation: 76+76=152, Resulting Numbers: [152]
152,92 unequal: No Solution
Exploring Operation: 76/76=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[76, 112], Operations: ['85-67=18', '94+18=112']
Exploring Operation: 76+112=188, Resulting Numbers: [188]
188,92 unequal: No Solution
Exploring Operation: 76*112=8512, Resulting Numbers: [8512]
8512,92 unequal: No Solution
Exploring Operation: 112-76=36, Resulting Numbers: [36]
36,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[76, 85, 27], Operations: ['94-67=27']
Exploring Operation: 76+27=103, Resulting Numbers: [85, 103]
Generated Node #0,0,0: 92:[85, 103] Operation: 76+27=103
Exploring Operation: 85+27=112, Resulting Numbers: [76, 112]
Generated Node #0,0,1: 92:[76, 112] Operation: 85+27=112
Exploring Operation: 76-27=49, Resulting Numbers: [85, 49]
Generated Node #0,0,2: 92:[85, 49] Operation: 76-27=49
Exploring Operation: 85-27=58, Resulting Numbers: [76, 58]
Generated Node #0,0,3: 92:[76, 58] Operation: 85-27=58
Exploring Operation: 85-76=9, Resulting Numbers: [27, 9]
Generated Node #0,0,4: 92:[27, 9] Operation: 85-76=9
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 92:[27, 9], Operations: ['94-67=27', '85-76=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[85, 49], Operations: ['94-67=27', '76-27=49']
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 85*49=4165, Resulting Numbers: [4165]
4165,92 unequal: No Solution
Exploring Operation: 85+49=134, Resulting Numbers: [134]
134,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[85, 103], Operations: ['94-67=27', '76+27=103']
Exploring Operation: 103-85=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 85*103=8755, Resulting Numbers: [8755]
8755,92 unequal: No Solution
Exploring Operation: 85+103=188, Resulting Numbers: [188]
188,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 92:[76, 58], Operations: ['94-67=27', '85-27=58']
Exploring Operation: 76*58=4408, Resulting Numbers: [4408]
4408,92 unequal: No Solution
Exploring Operation: 76+58=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[76, 112], Operations: ['94-67=27', '85+27=112']
Exploring Operation: 112-76=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 76*112=8512, Resulting Numbers: [8512]
8512,92 unequal: No Solution
Exploring Operation: 76+112=188, Resulting Numbers: [188]
188,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[67, 94, 9], Operations: ['85-76=9']
Exploring Operation: 94-9=85, Resulting Numbers: [67, 85]
Generated Node #0,3,0: 92:[67, 85] Operation: 94-9=85
Exploring Operation: 67+9=76, Resulting Numbers: [94, 76]
Generated Node #0,3,1: 92:[94, 76] Operation: 67+9=76
Exploring Operation: 94+9=103, Resulting Numbers: [67, 103]
Generated Node #0,3,2: 92:[67, 103] Operation: 94+9=103
Exploring Operation: 94-67=27, Resulting Numbers: [9, 27]
Generated Node #0,3,3: 92:[9, 27] Operation: 94-67=27
Exploring Operation: 67-9=58, Resulting Numbers: [94, 58]
Generated Node #0,3,4: 92:[94, 58] Operation: 67-9=58
Moving to Node #0,3,3
Current State: 92:[9, 27], Operations: ['85-76=9', '94-67=27']
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,92 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[94, 58], Operations: ['85-76=9', '67-9=58']
Exploring Operation: 94-58=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 94*58=5452, Resulting Numbers: [5452]
5452,92 unequal: No Solution
Exploring Operation: 94+58=152, Resulting Numbers: [152]
152,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[94, 76], Operations: ['85-76=9', '67+9=76']
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 94*76=7144, Resulting Numbers: [7144]
7144,92 unequal: No Solution
Exploring Operation: 94+76=170, Resulting Numbers: [170]
170,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[67, 85], Operations: ['85-76=9', '94-9=85']
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 67*85=5695, Resulting Numbers: [5695]
5695,92 unequal: No Solution
Exploring Operation: 67+85=152, Resulting Numbers: [152]
152,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[67, 103], Operations: ['85-76=9', '94+9=103']
Exploring Operation: 67+103=170, Resulting Numbers: [170]
170,92 unequal: No Solution
Exploring Operation: 67*103=6901, Resulting Numbers: [6901]
6901,92 unequal: No Solution
Exploring Operation: 103-67=36, Resulting Numbers: [36]
36,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[67, 85, 18], Operations: ['94-76=18']
Exploring Operation: 67-18=49, Resulting Numbers: [85, 49]
Generated Node #0,2,0: 92:[85, 49] Operation: 67-18=49
Exploring Operation: 85-67=18, Resulting Numbers: [18, 18]
Generated Node #0,2,1: 92:[18, 18] Operation: 85-67=18
Exploring Operation: 85+18=103, Resulting Numbers: [67, 103]
Generated Node #0,2,2: 92:[67, 103] Operation: 85+18=103
Exploring Operation: 67+18=85, Resulting Numbers: [85, 85]
Generated Node #0,2,3: 92:[85, 85] Operation: 67+18=85
Exploring Operation: 85-18=67, Resulting Numbers: [67, 67]
Generated Node #0,2,4: 92:[67, 67] Operation: 85-18=67
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[85, 49], Operations: ['94-76=18', '67-18=49']
Exploring Operation: 85-49=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 85*49=4165, Resulting Numbers: [4165]
4165,92 unequal: No Solution
Exploring Operation: 85+49=134, Resulting Numbers: [134]
134,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[18, 18], Operations: ['94-76=18', '85-67=18']
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,92 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[85, 85], Operations: ['94-76=18', '67+18=85']
Exploring Operation: 85*85=7225, Resulting Numbers: [7225]
7225,92 unequal: No Solution
Exploring Operation: 85-85=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 85/85=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 85+85=170, Resulting Numbers: [170]
170,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[67, 103], Operations: ['94-76=18', '85+18=103']
Exploring Operation: 67+103=170, Resulting Numbers: [170]
170,92 unequal: No Solution
Exploring Operation: 103-67=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 67*103=6901, Resulting Numbers: [6901]
6901,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[67, 67], Operations: ['94-76=18', '85-18=67']
Exploring Operation: 67/67=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 67+67=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 67*67=4489, Resulting Numbers: [4489]
4489,92 unequal: No Solution
Exploring Operation: 67-67=0, Resulting Numbers: [0]
0,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
40,
6,
75,
96
] | 67 | [
"40+6=46",
"96-75=21",
"46+21=67"
] | Current State: 67:[40, 6, 75, 96], Operations: []
Exploring Operation: 40+6=46, Resulting Numbers: [75, 96, 46]
Generated Node #2: [75, 96, 46] from Operation: 40+6=46
Current State: 67:[75, 96, 46], Operations: ['40+6=46']
Exploring Operation: 96-75=21, Resulting Numbers: [46, 21]
Generated Node #3: [46, 21] from Operation: 96-75=21
Current State: 67:[46, 21], Operations: ['40+6=46', '96-75=21']
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[40, 6, 75, 96], Operations: []
Exploring Operation: 40+6=46, Resulting Numbers: [75, 96, 46]
Generated Node #0,0: 67:[75, 96, 46] Operation: 40+6=46
Exploring Operation: 6+75=81, Resulting Numbers: [40, 96, 81]
Generated Node #0,1: 67:[40, 96, 81] Operation: 6+75=81
Exploring Operation: 96-6=90, Resulting Numbers: [40, 75, 90]
Generated Node #0,2: 67:[40, 75, 90] Operation: 96-6=90
Exploring Operation: 40-6=34, Resulting Numbers: [75, 96, 34]
Generated Node #0,3: 67:[75, 96, 34] Operation: 40-6=34
Exploring Operation: 75-6=69, Resulting Numbers: [40, 96, 69]
Generated Node #0,4: 67:[40, 96, 69] Operation: 75-6=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[75, 96, 46], Operations: ['40+6=46']
Exploring Operation: 96-46=50, Resulting Numbers: [75, 50]
Generated Node #0,0,0: 67:[75, 50] Operation: 96-46=50
Exploring Operation: 75+46=121, Resulting Numbers: [96, 121]
Generated Node #0,0,1: 67:[96, 121] Operation: 75+46=121
Exploring Operation: 96+46=142, Resulting Numbers: [75, 142]
Generated Node #0,0,2: 67:[75, 142] Operation: 96+46=142
Exploring Operation: 75-46=29, Resulting Numbers: [96, 29]
Generated Node #0,0,3: 67:[96, 29] Operation: 75-46=29
Exploring Operation: 96-75=21, Resulting Numbers: [46, 21]
Generated Node #0,0,4: 67:[46, 21] Operation: 96-75=21
Moving to Node #0,0,0
Current State: 67:[75, 50], Operations: ['40+6=46', '96-46=50']
Exploring Operation: 75*50=3750, Resulting Numbers: [3750]
3750,67 unequal: No Solution
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,67 unequal: No Solution
Exploring Operation: 75+50=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Moving to Node #0,0,4
Current State: 67:[46, 21], Operations: ['40+6=46', '96-75=21']
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,67 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,67 unequal: No Solution
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[40, 6, 75, 96], Operations: []
Exploring Operation: 40+6=46, Resulting Numbers: [75, 96, 46]
Generated Node #0,0: 67:[75, 96, 46] Operation: 40+6=46
Moving to Node #0,0
Current State: 67:[75, 96, 46], Operations: ['40+6=46']
Exploring Operation: 96-75=21, Resulting Numbers: [46, 21]
Generated Node #0,0,4: 67:[46, 21] Operation: 96-75=21
Moving to Node #0,0,4
Current State: 67:[46, 21], Operations: ['40+6=46', '96-75=21']
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
10,
25,
36,
65
] | 66 | [
"10+25=35",
"36+65=101",
"101-35=66"
] | Current State: 66:[10, 25, 36, 65], Operations: []
Exploring Operation: 10+25=35, Resulting Numbers: [36, 65, 35]
Generated Node #2: [36, 65, 35] from Operation: 10+25=35
Current State: 66:[36, 65, 35], Operations: ['10+25=35']
Exploring Operation: 36+65=101, Resulting Numbers: [35, 101]
Generated Node #3: [35, 101] from Operation: 36+65=101
Current State: 66:[35, 101], Operations: ['10+25=35', '36+65=101']
Exploring Operation: 101-35=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[10, 25, 36, 65], Operations: []
Exploring Operation: 36-25=11, Resulting Numbers: [10, 65, 11]
Generated Node #0,0: 66:[10, 65, 11] Operation: 36-25=11
Exploring Operation: 10+25=35, Resulting Numbers: [36, 65, 35]
Generated Node #0,1: 66:[36, 65, 35] Operation: 10+25=35
Exploring Operation: 25+36=61, Resulting Numbers: [10, 65, 61]
Generated Node #0,2: 66:[10, 65, 61] Operation: 25+36=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[10, 65, 11], Operations: ['36-25=11']
Exploring Operation: 11-10=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 66:[65, 1] Operation: 11-10=1
Exploring Operation: 10+65=75, Resulting Numbers: [11, 75]
Generated Node #0,0,1: 66:[11, 75] Operation: 10+65=75
Exploring Operation: 10+11=21, Resulting Numbers: [65, 21]
Generated Node #0,0,2: 66:[65, 21] Operation: 10+11=21
Moving to Node #0,0,0
Current State: 66:[65, 1], Operations: ['36-25=11', '11-10=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,66 unequal: No Solution
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,66 unequal: No Solution
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[10, 25, 36, 65], Operations: []
Exploring Operation: 36-25=11, Resulting Numbers: [10, 65, 11]
Generated Node #0,0: 66:[10, 65, 11] Operation: 36-25=11
Moving to Node #0,0
Current State: 66:[10, 65, 11], Operations: ['36-25=11']
Exploring Operation: 11-10=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 66:[65, 1] Operation: 11-10=1
Moving to Node #0,0,0
Current State: 66:[65, 1], Operations: ['36-25=11', '11-10=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
66,
41,
60,
98
] | 58 | [
"66*60=3960",
"41*98=4018",
"4018-3960=58"
] | Current State: 58:[66, 41, 60, 98], Operations: []
Exploring Operation: 66*60=3960, Resulting Numbers: [41, 98, 3960]
Generated Node #2: [41, 98, 3960] from Operation: 66*60=3960
Current State: 58:[41, 98, 3960], Operations: ['66*60=3960']
Exploring Operation: 41*98=4018, Resulting Numbers: [3960, 4018]
Generated Node #3: [3960, 4018] from Operation: 41*98=4018
Current State: 58:[3960, 4018], Operations: ['66*60=3960', '41*98=4018']
Exploring Operation: 4018-3960=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[66, 41, 60, 98], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [41, 60, 32]
Generated Node #0,0: 58:[41, 60, 32] Operation: 98-66=32
Exploring Operation: 98-41=57, Resulting Numbers: [66, 60, 57]
Generated Node #0,1: 58:[66, 60, 57] Operation: 98-41=57
Moving to Node #0,1
Current State: 58:[66, 60, 57], Operations: ['98-41=57']
Exploring Operation: 66-57=9, Resulting Numbers: [60, 9]
Generated Node #0,1,0: 58:[60, 9] Operation: 66-57=9
Exploring Operation: 66-60=6, Resulting Numbers: [57, 6]
Generated Node #0,1,1: 58:[57, 6] Operation: 66-60=6
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[57, 6], Operations: ['98-41=57', '66-60=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,58 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[60, 9], Operations: ['98-41=57', '66-57=9']
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,58 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: 58:[41, 60, 32], Operations: ['98-66=32']
Exploring Operation: 41-32=9, Resulting Numbers: [60, 9]
Generated Node #0,0,0: 58:[60, 9] Operation: 41-32=9
Exploring Operation: 60-41=19, Resulting Numbers: [32, 19]
Generated Node #0,0,1: 58:[32, 19] Operation: 60-41=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[60, 9], Operations: ['98-66=32', '41-32=9']
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[32, 19], Operations: ['98-66=32', '60-41=19']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,58 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 |
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