nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
| search_path
stringlengths 505
16.8k
| rating
float64 0
0.99
| search_type
stringclasses 5
values | heuristic
stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
61,
27,
38,
84
] | 54
|
[
"38+84=122",
"122/61=2",
"27*2=54"
] |
Current State: 54:[61, 27, 38, 84], Operations: []
Exploring Operation: 38+84=122, Resulting Numbers: [61, 27, 122]
Generated Node #2: [61, 27, 122] from Operation: 38+84=122
Current State: 54:[61, 27, 122], Operations: ['38+84=122']
Exploring Operation: 122/61=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 122/61=2
Current State: 54:[27, 2], Operations: ['38+84=122', '122/61=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[61, 27, 38, 84], Operations: []
Exploring Operation: 84-61=23, Resulting Numbers: [27, 38, 23]
Generated Node #0,0: 54:[27, 38, 23] Operation: 84-61=23
Exploring Operation: 84-38=46, Resulting Numbers: [61, 27, 46]
Generated Node #0,1: 54:[61, 27, 46] Operation: 84-38=46
Exploring Operation: 84-27=57, Resulting Numbers: [61, 38, 57]
Generated Node #0,2: 54:[61, 38, 57] Operation: 84-27=57
Exploring Operation: 38-27=11, Resulting Numbers: [61, 84, 11]
Generated Node #0,3: 54:[61, 84, 11] Operation: 38-27=11
Exploring Operation: 61-38=23, Resulting Numbers: [27, 84, 23]
Generated Node #0,4: 54:[27, 84, 23] Operation: 61-38=23
Moving to Node #0,0
Current State: 54:[27, 38, 23], Operations: ['84-61=23']
Exploring Operation: 27-23=4, Resulting Numbers: [38, 4]
Generated Node #0,0,0: 54:[38, 4] Operation: 27-23=4
Exploring Operation: 38-27=11, Resulting Numbers: [23, 11]
Generated Node #0,0,1: 54:[23, 11] Operation: 38-27=11
Exploring Operation: 38-23=15, Resulting Numbers: [27, 15]
Generated Node #0,0,2: 54:[27, 15] Operation: 38-23=15
Exploring Operation: 38+23=61, Resulting Numbers: [27, 61]
Generated Node #0,0,3: 54:[27, 61] Operation: 38+23=61
Exploring Operation: 27+38=65, Resulting Numbers: [23, 65]
Generated Node #0,0,4: 54:[23, 65] Operation: 27+38=65
Moving to Node #0,1
Current State: 54:[61, 27, 46], Operations: ['84-38=46']
Exploring Operation: 61-46=15, Resulting Numbers: [27, 15]
Generated Node #0,1,0: 54:[27, 15] Operation: 61-46=15
Exploring Operation: 61+27=88, Resulting Numbers: [46, 88]
Generated Node #0,1,1: 54:[46, 88] Operation: 61+27=88
Exploring Operation: 27+46=73, Resulting Numbers: [61, 73]
Generated Node #0,1,2: 54:[61, 73] Operation: 27+46=73
Exploring Operation: 46-27=19, Resulting Numbers: [61, 19]
Generated Node #0,1,3: 54:[61, 19] Operation: 46-27=19
Exploring Operation: 61-27=34, Resulting Numbers: [46, 34]
Generated Node #0,1,4: 54:[46, 34] Operation: 61-27=34
Moving to Node #0,2
Current State: 54:[61, 38, 57], Operations: ['84-27=57']
Exploring Operation: 57-38=19, Resulting Numbers: [61, 19]
Generated Node #0,2,0: 54:[61, 19] Operation: 57-38=19
Exploring Operation: 38+57=95, Resulting Numbers: [61, 95]
Generated Node #0,2,1: 54:[61, 95] Operation: 38+57=95
Exploring Operation: 61+38=99, Resulting Numbers: [57, 99]
Generated Node #0,2,2: 54:[57, 99] Operation: 61+38=99
Exploring Operation: 61-38=23, Resulting Numbers: [57, 23]
Generated Node #0,2,3: 54:[57, 23] Operation: 61-38=23
Exploring Operation: 61-57=4, Resulting Numbers: [38, 4]
Generated Node #0,2,4: 54:[38, 4] Operation: 61-57=4
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 54:[57, 23], Operations: ['84-27=57', '61-38=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,54 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 54:[61, 19], Operations: ['84-27=57', '57-38=19']
Exploring Operation: 61+19=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 61*19=1159, Resulting Numbers: [1159]
1159,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 54:[38, 4], Operations: ['84-27=57', '61-57=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 38*4=152, Resulting Numbers: [152]
152,54 unequal: No Solution
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 54:[61, 95], Operations: ['84-27=57', '38+57=95']
Exploring Operation: 61*95=5795, Resulting Numbers: [5795]
5795,54 unequal: No Solution
Exploring Operation: 61+95=156, Resulting Numbers: [156]
156,54 unequal: No Solution
Exploring Operation: 95-61=34, Resulting Numbers: [34]
34,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[57, 99], Operations: ['84-27=57', '61+38=99']
Exploring Operation: 57*99=5643, Resulting Numbers: [5643]
5643,54 unequal: No Solution
Exploring Operation: 57+99=156, Resulting Numbers: [156]
156,54 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,54 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: 54:[27, 84, 23], Operations: ['61-38=23']
Exploring Operation: 27+23=50, Resulting Numbers: [84, 50]
Generated Node #0,4,0: 54:[84, 50] Operation: 27+23=50
Exploring Operation: 84-23=61, Resulting Numbers: [27, 61]
Generated Node #0,4,1: 54:[27, 61] Operation: 84-23=61
Exploring Operation: 84-27=57, Resulting Numbers: [23, 57]
Generated Node #0,4,2: 54:[23, 57] Operation: 84-27=57
Exploring Operation: 27-23=4, Resulting Numbers: [84, 4]
Generated Node #0,4,3: 54:[84, 4] Operation: 27-23=4
Exploring Operation: 84+23=107, Resulting Numbers: [27, 107]
Generated Node #0,4,4: 54:[27, 107] Operation: 84+23=107
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 54:[27, 61], Operations: ['61-38=23', '84-23=61']
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,54 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 54:[23, 57], Operations: ['61-38=23', '84-27=57']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 23+57=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 23*57=1311, Resulting Numbers: [1311]
1311,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 54:[84, 4], Operations: ['61-38=23', '27-23=4']
Exploring Operation: 84*4=336, Resulting Numbers: [336]
336,54 unequal: No Solution
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,54 unequal: No Solution
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 54:[84, 50], Operations: ['61-38=23', '27+23=50']
Exploring Operation: 84*50=4200, Resulting Numbers: [4200]
4200,54 unequal: No Solution
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 84+50=134, Resulting Numbers: [134]
134,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 54:[27, 107], Operations: ['61-38=23', '84+23=107']
Exploring Operation: 107-27=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 27+107=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Exploring Operation: 27*107=2889, Resulting Numbers: [2889]
2889,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 54:[61, 84, 11], Operations: ['38-27=11']
Exploring Operation: 61+11=72, Resulting Numbers: [84, 72]
Generated Node #0,3,0: 54:[84, 72] Operation: 61+11=72
Exploring Operation: 84-61=23, Resulting Numbers: [11, 23]
Generated Node #0,3,1: 54:[11, 23] Operation: 84-61=23
Exploring Operation: 84-11=73, Resulting Numbers: [61, 73]
Generated Node #0,3,2: 54:[61, 73] Operation: 84-11=73
Exploring Operation: 61-11=50, Resulting Numbers: [84, 50]
Generated Node #0,3,3: 54:[84, 50] Operation: 61-11=50
Exploring Operation: 84+11=95, Resulting Numbers: [61, 95]
Generated Node #0,3,4: 54:[61, 95] Operation: 84+11=95
Moving to Node #0,0,2
Current State: 54:[27, 15], Operations: ['84-61=23', '38-23=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,54 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[27, 15], Operations: ['84-38=46', '61-46=15']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[23, 11], Operations: ['84-61=23', '38-27=11']
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,54 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Moving to Node #0,3,1
Current State: 54:[11, 23], Operations: ['38-27=11', '84-61=23']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 11*23=253, Resulting Numbers: [253]
253,54 unequal: No Solution
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[27, 61], Operations: ['84-61=23', '38+23=61']
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,54 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[61, 19], Operations: ['84-38=46', '46-27=19']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 61+19=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Exploring Operation: 61*19=1159, Resulting Numbers: [1159]
1159,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[38, 4], Operations: ['84-61=23', '27-23=4']
Exploring Operation: 38*4=152, Resulting Numbers: [152]
152,54 unequal: No Solution
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Moving to Node #0,0,4
Current State: 54:[23, 65], Operations: ['84-61=23', '27+38=65']
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 23+65=88, Resulting Numbers: [88]
88,54 unequal: No Solution
Exploring Operation: 23*65=1495, Resulting Numbers: [1495]
1495,54 unequal: No Solution
Moving to Node #0,1,4
Current State: 54:[46, 34], Operations: ['84-38=46', '61-27=34']
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,54 unequal: No Solution
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,54 unequal: No Solution
Moving to Node #0,3,2
Current State: 54:[61, 73], Operations: ['38-27=11', '84-11=73']
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 61+73=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Exploring Operation: 61*73=4453, Resulting Numbers: [4453]
4453,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[61, 73], Operations: ['84-38=46', '27+46=73']
Exploring Operation: 61*73=4453, Resulting Numbers: [4453]
4453,54 unequal: No Solution
Exploring Operation: 61+73=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Exploring Operation: 73-61=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[84, 50], Operations: ['38-27=11', '61-11=50']
Exploring Operation: 84*50=4200, Resulting Numbers: [4200]
4200,54 unequal: No Solution
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Exploring Operation: 84+50=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[46, 88], Operations: ['84-38=46', '61+27=88']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,54 unequal: No Solution
Exploring Operation: 46+88=134, Resulting Numbers: [134]
134,54 unequal: No Solution
Exploring Operation: 46*88=4048, Resulting Numbers: [4048]
4048,54 unequal: No Solution
Moving to Node #0,3,4
Current State: 54:[61, 95], Operations: ['38-27=11', '84+11=95']
Exploring Operation: 61*95=5795, Resulting Numbers: [5795]
5795,54 unequal: No Solution
Exploring Operation: 61+95=156, Resulting Numbers: [156]
156,54 unequal: No Solution
Exploring Operation: 95-61=34, Resulting Numbers: [34]
34,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[84, 72], Operations: ['38-27=11', '61+11=72']
Exploring Operation: 84+72=156, Resulting Numbers: [156]
156,54 unequal: No Solution
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 84*72=6048, Resulting Numbers: [6048]
6048,54 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
44,
30,
95,
98
] | 46
|
[
"98-95=3",
"30*3=90",
"90-44=46"
] |
Current State: 46:[44, 30, 95, 98], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [44, 30, 3]
Generated Node #2: [44, 30, 3] from Operation: 98-95=3
Current State: 46:[44, 30, 3], Operations: ['98-95=3']
Exploring Operation: 30*3=90, Resulting Numbers: [44, 90]
Generated Node #3: [44, 90] from Operation: 30*3=90
Current State: 46:[44, 90], Operations: ['98-95=3', '30*3=90']
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[44, 30, 95, 98], Operations: []
Exploring Operation: 98-44=54, Resulting Numbers: [30, 95, 54]
Generated Node #0,0: 46:[30, 95, 54] Operation: 98-44=54
Exploring Operation: 95-44=51, Resulting Numbers: [30, 98, 51]
Generated Node #0,1: 46:[30, 98, 51] Operation: 95-44=51
Exploring Operation: 98-95=3, Resulting Numbers: [44, 30, 3]
Generated Node #0,2: 46:[44, 30, 3] Operation: 98-95=3
Exploring Operation: 95-30=65, Resulting Numbers: [44, 98, 65]
Generated Node #0,3: 46:[44, 98, 65] Operation: 95-30=65
Moving to Node #0,2
Current State: 46:[44, 30, 3], Operations: ['98-95=3']
Exploring Operation: 30/3=10, Resulting Numbers: [44, 10]
Generated Node #0,2,0: 46:[44, 10] Operation: 30/3=10
Exploring Operation: 44+3=47, Resulting Numbers: [30, 47]
Generated Node #0,2,1: 46:[30, 47] Operation: 44+3=47
Exploring Operation: 44-30=14, Resulting Numbers: [3, 14]
Generated Node #0,2,2: 46:[3, 14] Operation: 44-30=14
Exploring Operation: 30-3=27, Resulting Numbers: [44, 27]
Generated Node #0,2,3: 46:[44, 27] Operation: 30-3=27
Moving to Node #0,1
Current State: 46:[30, 98, 51], Operations: ['95-44=51']
Exploring Operation: 30+98=128, Resulting Numbers: [51, 128]
Generated Node #0,1,0: 46:[51, 128] Operation: 30+98=128
Exploring Operation: 98-51=47, Resulting Numbers: [30, 47]
Generated Node #0,1,1: 46:[30, 47] Operation: 98-51=47
Exploring Operation: 98-30=68, Resulting Numbers: [51, 68]
Generated Node #0,1,2: 46:[51, 68] Operation: 98-30=68
Exploring Operation: 51-30=21, Resulting Numbers: [98, 21]
Generated Node #0,1,3: 46:[98, 21] Operation: 51-30=21
Moving to Node #0,0
Current State: 46:[30, 95, 54], Operations: ['98-44=54']
Exploring Operation: 95-30=65, Resulting Numbers: [54, 65]
Generated Node #0,0,0: 46:[54, 65] Operation: 95-30=65
Exploring Operation: 95-54=41, Resulting Numbers: [30, 41]
Generated Node #0,0,1: 46:[30, 41] Operation: 95-54=41
Exploring Operation: 30+95=125, Resulting Numbers: [54, 125]
Generated Node #0,0,2: 46:[54, 125] Operation: 30+95=125
Exploring Operation: 54-30=24, Resulting Numbers: [95, 24]
Generated Node #0,0,3: 46:[95, 24] Operation: 54-30=24
Moving to Node #0,3
Current State: 46:[44, 98, 65], Operations: ['95-30=65']
Exploring Operation: 44+98=142, Resulting Numbers: [65, 142]
Generated Node #0,3,0: 46:[65, 142] Operation: 44+98=142
Exploring Operation: 98-65=33, Resulting Numbers: [44, 33]
Generated Node #0,3,1: 46:[44, 33] Operation: 98-65=33
Exploring Operation: 65-44=21, Resulting Numbers: [98, 21]
Generated Node #0,3,2: 46:[98, 21] Operation: 65-44=21
Exploring Operation: 98-44=54, Resulting Numbers: [65, 54]
Generated Node #0,3,3: 46:[65, 54] Operation: 98-44=54
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 46:[44, 33], Operations: ['95-30=65', '98-65=33']
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 44*33=1452, Resulting Numbers: [1452]
1452,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[65, 54], Operations: ['95-30=65', '98-44=54']
Exploring Operation: 65*54=3510, Resulting Numbers: [3510]
3510,46 unequal: No Solution
Exploring Operation: 65+54=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 46:[98, 21], Operations: ['95-30=65', '65-44=21']
Exploring Operation: 98*21=2058, Resulting Numbers: [2058]
2058,46 unequal: No Solution
Exploring Operation: 98+21=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 46:[65, 142], Operations: ['95-30=65', '44+98=142']
Exploring Operation: 65+142=207, Resulting Numbers: [207]
207,46 unequal: No Solution
Exploring Operation: 65*142=9230, Resulting Numbers: [9230]
9230,46 unequal: No Solution
Exploring Operation: 142-65=77, Resulting Numbers: [77]
77,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 46:[44, 27], Operations: ['98-95=3', '30-3=27']
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,46 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[30, 47], Operations: ['98-95=3', '44+3=47']
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 30*47=1410, Resulting Numbers: [1410]
1410,46 unequal: No Solution
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[30, 47], Operations: ['95-44=51', '98-51=47']
Exploring Operation: 30*47=1410, Resulting Numbers: [1410]
1410,46 unequal: No Solution
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[44, 10], Operations: ['98-95=3', '30/3=10']
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,46 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[3, 14], Operations: ['98-95=3', '44-30=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[30, 41], Operations: ['98-44=54', '95-54=41']
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[51, 68], Operations: ['95-44=51', '98-30=68']
Exploring Operation: 51+68=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 51*68=3468, Resulting Numbers: [3468]
3468,46 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[54, 65], Operations: ['98-44=54', '95-30=65']
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,46 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[95, 24], Operations: ['98-44=54', '54-30=24']
Exploring Operation: 95+24=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 95*24=2280, Resulting Numbers: [2280]
2280,46 unequal: No Solution
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[98, 21], Operations: ['95-44=51', '51-30=21']
Exploring Operation: 98+21=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 98-21=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 98*21=2058, Resulting Numbers: [2058]
2058,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[54, 125], Operations: ['98-44=54', '30+95=125']
Exploring Operation: 125-54=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 54+125=179, Resulting Numbers: [179]
179,46 unequal: No Solution
Exploring Operation: 54*125=6750, Resulting Numbers: [6750]
6750,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[51, 128], Operations: ['95-44=51', '30+98=128']
Exploring Operation: 51+128=179, Resulting Numbers: [179]
179,46 unequal: No Solution
Exploring Operation: 128-51=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 51*128=6528, Resulting Numbers: [6528]
6528,46 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
30,
34,
21,
72
] | 48
|
[
"30+21=51",
"34*72=2448",
"2448/51=48"
] |
Current State: 48:[30, 34, 21, 72], Operations: []
Exploring Operation: 30+21=51, Resulting Numbers: [34, 72, 51]
Generated Node #2: [34, 72, 51] from Operation: 30+21=51
Current State: 48:[34, 72, 51], Operations: ['30+21=51']
Exploring Operation: 34*72=2448, Resulting Numbers: [51, 2448]
Generated Node #3: [51, 2448] from Operation: 34*72=2448
Current State: 48:[51, 2448], Operations: ['30+21=51', '34*72=2448']
Exploring Operation: 2448/51=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[30, 34, 21, 72], Operations: []
Exploring Operation: 72-30=42, Resulting Numbers: [34, 21, 42]
Generated Node #0,0: 48:[34, 21, 42] Operation: 72-30=42
Exploring Operation: 72-21=51, Resulting Numbers: [30, 34, 51]
Generated Node #0,1: 48:[30, 34, 51] Operation: 72-21=51
Exploring Operation: 72-34=38, Resulting Numbers: [30, 21, 38]
Generated Node #0,2: 48:[30, 21, 38] Operation: 72-34=38
Exploring Operation: 34-30=4, Resulting Numbers: [21, 72, 4]
Generated Node #0,3: 48:[21, 72, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[34, 21, 42], Operations: ['72-30=42']
Exploring Operation: 34+21=55, Resulting Numbers: [42, 55]
Generated Node #0,0,0: 48:[42, 55] Operation: 34+21=55
Exploring Operation: 42/21=2, Resulting Numbers: [34, 2]
Generated Node #0,0,1: 48:[34, 2] Operation: 42/21=2
Exploring Operation: 42-34=8, Resulting Numbers: [21, 8]
Generated Node #0,0,2: 48:[21, 8] Operation: 42-34=8
Exploring Operation: 34-21=13, Resulting Numbers: [42, 13]
Generated Node #0,0,3: 48:[42, 13] Operation: 34-21=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[21, 8], Operations: ['72-30=42', '42-34=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,48 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,48 unequal: No Solution
No 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: 48:[42, 13], Operations: ['72-30=42', '34-21=13']
Exploring Operation: 42*13=546, Resulting Numbers: [546]
546,48 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No 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: 48:[34, 2], Operations: ['72-30=42', '42/21=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,48 unequal: No Solution
No 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: 48:[42, 55], Operations: ['72-30=42', '34+21=55']
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,48 unequal: No Solution
Exploring Operation: 42*55=2310, Resulting Numbers: [2310]
2310,48 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: 48:[30, 34, 51], Operations: ['72-21=51']
Exploring Operation: 34-30=4, Resulting Numbers: [51, 4]
Generated Node #0,1,0: 48:[51, 4] Operation: 34-30=4
Exploring Operation: 51-30=21, Resulting Numbers: [34, 21]
Generated Node #0,1,1: 48:[34, 21] Operation: 51-30=21
Exploring Operation: 30+34=64, Resulting Numbers: [51, 64]
Generated Node #0,1,2: 48:[51, 64] Operation: 30+34=64
Exploring Operation: 51-34=17, Resulting Numbers: [30, 17]
Generated Node #0,1,3: 48:[30, 17] Operation: 51-34=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[51, 4], Operations: ['72-21=51', '34-30=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,48 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No 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: 48:[30, 17], Operations: ['72-21=51', '51-34=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,48 unequal: No Solution
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No 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: 48:[34, 21], Operations: ['72-21=51', '51-30=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 34*21=714, Resulting Numbers: [714]
714,48 unequal: No Solution
No 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: 48:[51, 64], Operations: ['72-21=51', '30+34=64']
Exploring Operation: 51*64=3264, Resulting Numbers: [3264]
3264,48 unequal: No Solution
Exploring Operation: 51+64=115, Resulting Numbers: [115]
115,48 unequal: No Solution
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,48 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: 48:[30, 21, 38], Operations: ['72-34=38']
Exploring Operation: 30-21=9, Resulting Numbers: [38, 9]
Generated Node #0,2,0: 48:[38, 9] Operation: 30-21=9
Exploring Operation: 38-30=8, Resulting Numbers: [21, 8]
Generated Node #0,2,1: 48:[21, 8] Operation: 38-30=8
Exploring Operation: 38-21=17, Resulting Numbers: [30, 17]
Generated Node #0,2,2: 48:[30, 17] Operation: 38-21=17
Exploring Operation: 30+21=51, Resulting Numbers: [38, 51]
Generated Node #0,2,3: 48:[38, 51] Operation: 30+21=51
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[21, 8], Operations: ['72-34=38', '38-30=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,48 unequal: No Solution
No 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: 48:[30, 17], Operations: ['72-34=38', '38-21=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,48 unequal: No Solution
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No 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: 48:[38, 9], Operations: ['72-34=38', '30-21=9']
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,48 unequal: No Solution
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,48 unequal: No Solution
No 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: 48:[38, 51], Operations: ['72-34=38', '30+21=51']
Exploring Operation: 38*51=1938, Resulting Numbers: [1938]
1938,48 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 38+51=89, Resulting Numbers: [89]
89,48 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: 48:[21, 72, 4], Operations: ['34-30=4']
Exploring Operation: 72-21=51, Resulting Numbers: [4, 51]
Generated Node #0,3,0: 48:[4, 51] Operation: 72-21=51
Exploring Operation: 72-4=68, Resulting Numbers: [21, 68]
Generated Node #0,3,1: 48:[21, 68] Operation: 72-4=68
Exploring Operation: 21+4=25, Resulting Numbers: [72, 25]
Generated Node #0,3,2: 48:[72, 25] Operation: 21+4=25
Exploring Operation: 72/4=18, Resulting Numbers: [21, 18]
Generated Node #0,3,3: 48:[21, 18] Operation: 72/4=18
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 48:[4, 51], Operations: ['34-30=4', '72-21=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 4*51=204, Resulting Numbers: [204]
204,48 unequal: No Solution
No 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: 48:[21, 18], Operations: ['34-30=4', '72/4=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,48 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,48 unequal: No Solution
No 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: 48:[21, 68], Operations: ['34-30=4', '72-4=68']
Exploring Operation: 21*68=1428, Resulting Numbers: [1428]
1428,48 unequal: No Solution
Exploring Operation: 21+68=89, Resulting Numbers: [89]
89,48 unequal: No Solution
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No 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: 48:[72, 25], Operations: ['34-30=4', '21+4=25']
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 72*25=1800, Resulting Numbers: [1800]
1800,48 unequal: No Solution
Exploring Operation: 72+25=97, Resulting Numbers: [97]
97,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
97,
71,
56,
57
] | 93
|
[
"71-57=14",
"56/14=4",
"97-4=93"
] |
Current State: 93:[97, 71, 56, 57], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [97, 56, 14]
Generated Node #2: [97, 56, 14] from Operation: 71-57=14
Current State: 93:[97, 56, 14], Operations: ['71-57=14']
Exploring Operation: 56/14=4, Resulting Numbers: [97, 4]
Generated Node #3: [97, 4] from Operation: 56/14=4
Current State: 93:[97, 4], Operations: ['71-57=14', '56/14=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
Current State: 93:[97, 71, 56, 57], Operations: []
Exploring Operation: 57-56=1, Resulting Numbers: [97, 71, 1]
Generated Node #0,0: 93:[97, 71, 1] Operation: 57-56=1
Exploring Operation: 71-57=14, Resulting Numbers: [97, 56, 14]
Generated Node #0,1: 93:[97, 56, 14] Operation: 71-57=14
Moving to Node #0,0
Current State: 93:[97, 71, 1], Operations: ['57-56=1']
Exploring Operation: 97-1=96, Resulting Numbers: [71, 96]
Generated Node #0,0,0: 93:[71, 96] Operation: 97-1=96
Exploring Operation: 97-71=26, Resulting Numbers: [1, 26]
Generated Node #0,0,1: 93:[1, 26] Operation: 97-71=26
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 93:[1, 26], Operations: ['57-56=1', '97-71=26']
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[71, 96], Operations: ['57-56=1', '97-1=96']
Exploring Operation: 71+96=167, Resulting Numbers: [167]
167,93 unequal: No Solution
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 93:[97, 56, 14], Operations: ['71-57=14']
Exploring Operation: 56-14=42, Resulting Numbers: [97, 42]
Generated Node #0,1,0: 93:[97, 42] Operation: 56-14=42
Exploring Operation: 56/14=4, Resulting Numbers: [97, 4]
Generated Node #0,1,1: 93:[97, 4] Operation: 56/14=4
Moving to Node #0,1,1
Current State: 93:[97, 4], Operations: ['71-57=14', '56/14=4']
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,93 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[97, 71, 56, 57], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [97, 56, 14]
Generated Node #0,1: 93:[97, 56, 14] Operation: 71-57=14
Moving to Node #0,1
Current State: 93:[97, 56, 14], Operations: ['71-57=14']
Exploring Operation: 56/14=4, Resulting Numbers: [97, 4]
Generated Node #0,1,1: 93:[97, 4] Operation: 56/14=4
Moving to Node #0,1,1
Current State: 93:[97, 4], Operations: ['71-57=14', '56/14=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.986111
|
hs_2
|
sum_heuristic
|
[
71,
64,
2,
90
] | 33
|
[
"71+90=161",
"64*2=128",
"161-128=33"
] |
Current State: 33:[71, 64, 2, 90], Operations: []
Exploring Operation: 71+90=161, Resulting Numbers: [64, 2, 161]
Generated Node #2: [64, 2, 161] from Operation: 71+90=161
Current State: 33:[64, 2, 161], Operations: ['71+90=161']
Exploring Operation: 64*2=128, Resulting Numbers: [161, 128]
Generated Node #3: [161, 128] from Operation: 64*2=128
Current State: 33:[161, 128], Operations: ['71+90=161', '64*2=128']
Exploring Operation: 161-128=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[71, 64, 2, 90], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [71, 64, 45]
Generated Node #0,0: 33:[71, 64, 45] Operation: 90/2=45
Exploring Operation: 90-71=19, Resulting Numbers: [64, 2, 19]
Generated Node #0,1: 33:[64, 2, 19] Operation: 90-71=19
Exploring Operation: 71-64=7, Resulting Numbers: [2, 90, 7]
Generated Node #0,2: 33:[2, 90, 7] Operation: 71-64=7
Exploring Operation: 90-64=26, Resulting Numbers: [71, 2, 26]
Generated Node #0,3: 33:[71, 2, 26] Operation: 90-64=26
Moving to Node #0,1
Current State: 33:[64, 2, 19], Operations: ['90-71=19']
Exploring Operation: 2*19=38, Resulting Numbers: [64, 38]
Generated Node #0,1,0: 33:[64, 38] Operation: 2*19=38
Exploring Operation: 64/2=32, Resulting Numbers: [19, 32]
Generated Node #0,1,1: 33:[19, 32] Operation: 64/2=32
Exploring Operation: 64-2=62, Resulting Numbers: [19, 62]
Generated Node #0,1,2: 33:[19, 62] Operation: 64-2=62
Exploring Operation: 64-19=45, Resulting Numbers: [2, 45]
Generated Node #0,1,3: 33:[2, 45] Operation: 64-19=45
Moving to Node #0,3
Current State: 33:[71, 2, 26], Operations: ['90-64=26']
Exploring Operation: 26/2=13, Resulting Numbers: [71, 13]
Generated Node #0,3,0: 33:[71, 13] Operation: 26/2=13
Exploring Operation: 71-2=69, Resulting Numbers: [26, 69]
Generated Node #0,3,1: 33:[26, 69] Operation: 71-2=69
Exploring Operation: 71-26=45, Resulting Numbers: [2, 45]
Generated Node #0,3,2: 33:[2, 45] Operation: 71-26=45
Exploring Operation: 2+26=28, Resulting Numbers: [71, 28]
Generated Node #0,3,3: 33:[71, 28] Operation: 2+26=28
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 33:[2, 45], Operations: ['90-64=26', '71-26=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,33 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 33:[71, 13], Operations: ['90-64=26', '26/2=13']
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 71+13=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Exploring Operation: 71*13=923, Resulting Numbers: [923]
923,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 33:[26, 69], Operations: ['90-64=26', '71-2=69']
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[71, 28], Operations: ['90-64=26', '2+26=28']
Exploring Operation: 71+28=99, Resulting Numbers: [99]
99,33 unequal: No Solution
Exploring Operation: 71-28=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 71*28=1988, Resulting Numbers: [1988]
1988,33 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: 33:[2, 90, 7], Operations: ['71-64=7']
Exploring Operation: 90-2=88, Resulting Numbers: [7, 88]
Generated Node #0,2,0: 33:[7, 88] Operation: 90-2=88
Exploring Operation: 90-7=83, Resulting Numbers: [2, 83]
Generated Node #0,2,1: 33:[2, 83] Operation: 90-7=83
Exploring Operation: 2+7=9, Resulting Numbers: [90, 9]
Generated Node #0,2,2: 33:[90, 9] Operation: 2+7=9
Exploring Operation: 90/2=45, Resulting Numbers: [7, 45]
Generated Node #0,2,3: 33:[7, 45] Operation: 90/2=45
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 33:[7, 45], Operations: ['71-64=7', '90/2=45']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 7*45=315, Resulting Numbers: [315]
315,33 unequal: No Solution
Exploring Operation: 7+45=52, Resulting Numbers: [52]
52,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[2, 83], Operations: ['71-64=7', '90-7=83']
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[7, 88], Operations: ['71-64=7', '90-2=88']
Exploring Operation: 7+88=95, Resulting Numbers: [95]
95,33 unequal: No Solution
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 7*88=616, Resulting Numbers: [616]
616,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[90, 9], Operations: ['71-64=7', '2+7=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,33 unequal: No Solution
Exploring Operation: 90*9=810, Resulting Numbers: [810]
810,33 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: 33:[71, 64, 45], Operations: ['90/2=45']
Exploring Operation: 71+64=135, Resulting Numbers: [45, 135]
Generated Node #0,0,0: 33:[45, 135] Operation: 71+64=135
Exploring Operation: 71-64=7, Resulting Numbers: [45, 7]
Generated Node #0,0,1: 33:[45, 7] Operation: 71-64=7
Exploring Operation: 64-45=19, Resulting Numbers: [71, 19]
Generated Node #0,0,2: 33:[71, 19] Operation: 64-45=19
Exploring Operation: 71-45=26, Resulting Numbers: [64, 26]
Generated Node #0,0,3: 33:[64, 26] Operation: 71-45=26
Moving to Node #0,1,1
Current State: 33:[19, 32], Operations: ['90-71=19', '64/2=32']
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,33 unequal: No Solution
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[2, 45], Operations: ['90-71=19', '64-19=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[45, 7], Operations: ['90/2=45', '71-64=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 45*7=315, Resulting Numbers: [315]
315,33 unequal: No Solution
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[64, 38], Operations: ['90-71=19', '2*19=38']
Exploring Operation: 64+38=102, Resulting Numbers: [102]
102,33 unequal: No Solution
Exploring Operation: 64*38=2432, Resulting Numbers: [2432]
2432,33 unequal: No Solution
Exploring Operation: 64-38=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[19, 62], Operations: ['90-71=19', '64-2=62']
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[64, 26], Operations: ['90/2=45', '71-45=26']
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 64*26=1664, Resulting Numbers: [1664]
1664,33 unequal: No Solution
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[71, 19], Operations: ['90/2=45', '64-45=19']
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[45, 135], Operations: ['90/2=45', '71+64=135']
Exploring Operation: 45*135=6075, Resulting Numbers: [6075]
6075,33 unequal: No Solution
Exploring Operation: 135-45=90, Resulting Numbers: [90]
90,33 unequal: No Solution
Exploring Operation: 135/45=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 45+135=180, Resulting Numbers: [180]
180,33 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
75,
42,
73,
17
] | 27
|
[
"75+42=117",
"73+17=90",
"117-90=27"
] |
Current State: 27:[75, 42, 73, 17], Operations: []
Exploring Operation: 75+42=117, Resulting Numbers: [73, 17, 117]
Generated Node #2: [73, 17, 117] from Operation: 75+42=117
Current State: 27:[73, 17, 117], Operations: ['75+42=117']
Exploring Operation: 73+17=90, Resulting Numbers: [117, 90]
Generated Node #3: [117, 90] from Operation: 73+17=90
Current State: 27:[117, 90], Operations: ['75+42=117', '73+17=90']
Exploring Operation: 117-90=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
Current State: 27:[75, 42, 73, 17], Operations: []
Exploring Operation: 75-17=58, Resulting Numbers: [42, 73, 58]
Generated Node #0,0: 27:[42, 73, 58] Operation: 75-17=58
Exploring Operation: 75-73=2, Resulting Numbers: [42, 17, 2]
Generated Node #0,1: 27:[42, 17, 2] Operation: 75-73=2
Exploring Operation: 75-42=33, Resulting Numbers: [73, 17, 33]
Generated Node #0,2: 27:[73, 17, 33] Operation: 75-42=33
Exploring Operation: 73-42=31, Resulting Numbers: [75, 17, 31]
Generated Node #0,3: 27:[75, 17, 31] Operation: 73-42=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[42, 17, 2], Operations: ['75-73=2']
Exploring Operation: 17-2=15, Resulting Numbers: [42, 15]
Generated Node #0,1,0: 27:[42, 15] Operation: 17-2=15
Exploring Operation: 42/2=21, Resulting Numbers: [17, 21]
Generated Node #0,1,1: 27:[17, 21] Operation: 42/2=21
Exploring Operation: 42-17=25, Resulting Numbers: [2, 25]
Generated Node #0,1,2: 27:[2, 25] Operation: 42-17=25
Exploring Operation: 42-2=40, Resulting Numbers: [17, 40]
Generated Node #0,1,3: 27:[17, 40] Operation: 42-2=40
Moving to Node #0,1,2
Current State: 27:[2, 25], Operations: ['75-73=2', '42-17=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[75, 42, 73, 17], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [42, 17, 2]
Generated Node #0,1: 27:[42, 17, 2] Operation: 75-73=2
Moving to Node #0,1
Current State: 27:[42, 17, 2], Operations: ['75-73=2']
Exploring Operation: 42-17=25, Resulting Numbers: [2, 25]
Generated Node #0,1,2: 27:[2, 25] Operation: 42-17=25
Moving to Node #0,1,2
Current State: 27:[2, 25], Operations: ['75-73=2', '42-17=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_4
|
mult_heuristic
|
[
75,
3,
46,
2
] | 64
|
[
"75+3=78",
"78-46=32",
"2*32=64"
] |
Current State: 64:[75, 3, 46, 2], Operations: []
Exploring Operation: 75+3=78, Resulting Numbers: [46, 2, 78]
Generated Node #2: [46, 2, 78] from Operation: 75+3=78
Current State: 64:[46, 2, 78], Operations: ['75+3=78']
Exploring Operation: 78-46=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 78-46=32
Current State: 64:[2, 32], Operations: ['75+3=78', '78-46=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[75, 3, 46, 2], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [3, 2, 29]
Generated Node #0,0: 64:[3, 2, 29] Operation: 75-46=29
Exploring Operation: 75-3=72, Resulting Numbers: [46, 2, 72]
Generated Node #0,1: 64:[46, 2, 72] Operation: 75-3=72
Exploring Operation: 75/3=25, Resulting Numbers: [46, 2, 25]
Generated Node #0,2: 64:[46, 2, 25] Operation: 75/3=25
Exploring Operation: 46/2=23, Resulting Numbers: [75, 3, 23]
Generated Node #0,3: 64:[75, 3, 23] Operation: 46/2=23
Exploring Operation: 46-3=43, Resulting Numbers: [75, 2, 43]
Generated Node #0,4: 64:[75, 2, 43] Operation: 46-3=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[3, 2, 29], Operations: ['75-46=29']
Exploring Operation: 3-2=1, Resulting Numbers: [29, 1]
Generated Node #0,0,0: 64:[29, 1] Operation: 3-2=1
Exploring Operation: 3+2=5, Resulting Numbers: [29, 5]
Generated Node #0,0,1: 64:[29, 5] Operation: 3+2=5
Exploring Operation: 3*2=6, Resulting Numbers: [29, 6]
Generated Node #0,0,2: 64:[29, 6] Operation: 3*2=6
Exploring Operation: 3+29=32, Resulting Numbers: [2, 32]
Generated Node #0,0,3: 64:[2, 32] Operation: 3+29=32
Exploring Operation: 2+29=31, Resulting Numbers: [3, 31]
Generated Node #0,0,4: 64:[3, 31] Operation: 2+29=31
Moving to Node #0,0,3
Current State: 64:[2, 32], Operations: ['75-46=29', '3+29=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[75, 3, 46, 2], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [3, 2, 29]
Generated Node #0,0: 64:[3, 2, 29] Operation: 75-46=29
Moving to Node #0,0
Current State: 64:[3, 2, 29], Operations: ['75-46=29']
Exploring Operation: 3+29=32, Resulting Numbers: [2, 32]
Generated Node #0,0,3: 64:[2, 32] Operation: 3+29=32
Moving to Node #0,0,3
Current State: 64:[2, 32], Operations: ['75-46=29', '3+29=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_5
|
mult_heuristic
|
[
28,
64,
14,
22
] | 84
|
[
"28+64=92",
"22-14=8",
"92-8=84"
] |
Current State: 84:[28, 64, 14, 22], Operations: []
Exploring Operation: 28+64=92, Resulting Numbers: [14, 22, 92]
Generated Node #2: [14, 22, 92] from Operation: 28+64=92
Current State: 84:[14, 22, 92], Operations: ['28+64=92']
Exploring Operation: 22-14=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 22-14=8
Current State: 84:[92, 8], Operations: ['28+64=92', '22-14=8']
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
Current State: 84:[28, 64, 14, 22], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [14, 22, 36]
Generated Node #0,0: 84:[14, 22, 36] Operation: 64-28=36
Exploring Operation: 64+22=86, Resulting Numbers: [28, 14, 86]
Generated Node #0,1: 84:[28, 14, 86] Operation: 64+22=86
Exploring Operation: 64-22=42, Resulting Numbers: [28, 14, 42]
Generated Node #0,2: 84:[28, 14, 42] Operation: 64-22=42
Exploring Operation: 64+14=78, Resulting Numbers: [28, 22, 78]
Generated Node #0,3: 84:[28, 22, 78] Operation: 64+14=78
Moving to Node #0,2
Current State: 84:[28, 14, 42], Operations: ['64-22=42']
Exploring Operation: 28+14=42, Resulting Numbers: [42, 42]
Generated Node #0,2,0: 84:[42, 42] Operation: 28+14=42
Exploring Operation: 28-14=14, Resulting Numbers: [42, 14]
Generated Node #0,2,1: 84:[42, 14] Operation: 28-14=14
Exploring Operation: 28/14=2, Resulting Numbers: [42, 2]
Generated Node #0,2,2: 84:[42, 2] Operation: 28/14=2
Exploring Operation: 42-28=14, Resulting Numbers: [14, 14]
Generated Node #0,2,3: 84:[14, 14] Operation: 42-28=14
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[42, 42], Operations: ['64-22=42', '28+14=42']
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,84 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[28, 64, 14, 22], Operations: []
Exploring Operation: 64-22=42, Resulting Numbers: [28, 14, 42]
Generated Node #0,2: 84:[28, 14, 42] Operation: 64-22=42
Moving to Node #0,2
Current State: 84:[28, 14, 42], Operations: ['64-22=42']
Exploring Operation: 28+14=42, Resulting Numbers: [42, 42]
Generated Node #0,2,0: 84:[42, 42] Operation: 28+14=42
Moving to Node #0,2,0
Current State: 84:[42, 42], Operations: ['64-22=42', '28+14=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_4
|
mult_heuristic
|
[
23,
44,
12,
64
] | 25
|
[
"44-12=32",
"64/32=2",
"23+2=25"
] |
Current State: 25:[23, 44, 12, 64], Operations: []
Exploring Operation: 44-12=32, Resulting Numbers: [23, 64, 32]
Generated Node #2: [23, 64, 32] from Operation: 44-12=32
Current State: 25:[23, 64, 32], Operations: ['44-12=32']
Exploring Operation: 64/32=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 64/32=2
Current State: 25:[23, 2], Operations: ['44-12=32', '64/32=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[23, 44, 12, 64], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [23, 12, 20]
Generated Node #0,0: 25:[23, 12, 20] Operation: 64-44=20
Exploring Operation: 64-23=41, Resulting Numbers: [44, 12, 41]
Generated Node #0,1: 25:[44, 12, 41] Operation: 64-23=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[23, 12, 20], Operations: ['64-44=20']
Exploring Operation: 23-20=3, Resulting Numbers: [12, 3]
Generated Node #0,0,0: 25:[12, 3] Operation: 23-20=3
Exploring Operation: 20-12=8, Resulting Numbers: [23, 8]
Generated Node #0,0,1: 25:[23, 8] Operation: 20-12=8
Moving to Node #0,0,1
Current State: 25:[23, 8], Operations: ['64-44=20', '20-12=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[12, 3], Operations: ['64-44=20', '23-20=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[44, 12, 41], Operations: ['64-23=41']
Exploring Operation: 44-41=3, Resulting Numbers: [12, 3]
Generated Node #0,1,0: 25:[12, 3] Operation: 44-41=3
Exploring Operation: 44-12=32, Resulting Numbers: [41, 32]
Generated Node #0,1,1: 25:[41, 32] Operation: 44-12=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[12, 3], Operations: ['64-23=41', '44-41=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[41, 32], Operations: ['64-23=41', '44-12=32']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
17,
39,
27,
3
] | 31
|
[
"39-17=22",
"27/3=9",
"22+9=31"
] |
Current State: 31:[17, 39, 27, 3], Operations: []
Exploring Operation: 39-17=22, Resulting Numbers: [27, 3, 22]
Generated Node #2: [27, 3, 22] from Operation: 39-17=22
Current State: 31:[27, 3, 22], Operations: ['39-17=22']
Exploring Operation: 27/3=9, Resulting Numbers: [22, 9]
Generated Node #3: [22, 9] from Operation: 27/3=9
Current State: 31:[22, 9], Operations: ['39-17=22', '27/3=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[17, 39, 27, 3], Operations: []
Exploring Operation: 17+3=20, Resulting Numbers: [39, 27, 20]
Generated Node #0,0: 31:[39, 27, 20] Operation: 17+3=20
Moving to Node #0,0
Current State: 31:[39, 27, 20], Operations: ['17+3=20']
Exploring Operation: 39-20=19, Resulting Numbers: [27, 19]
Generated Node #0,0,0: 31:[27, 19] Operation: 39-20=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[27, 19], Operations: ['17+3=20', '39-20=19']
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,31 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
|
[
56,
14,
93,
8
] | 86
|
[
"56/8=7",
"93-14=79",
"7+79=86"
] |
Current State: 86:[56, 14, 93, 8], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [14, 93, 7]
Generated Node #2: [14, 93, 7] from Operation: 56/8=7
Current State: 86:[14, 93, 7], Operations: ['56/8=7']
Exploring Operation: 93-14=79, Resulting Numbers: [7, 79]
Generated Node #3: [7, 79] from Operation: 93-14=79
Current State: 86:[7, 79], Operations: ['56/8=7', '93-14=79']
Exploring Operation: 7+79=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[56, 14, 93, 8], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [14, 8, 37]
Generated Node #0,0: 86:[14, 8, 37] Operation: 93-56=37
Exploring Operation: 56-14=42, Resulting Numbers: [93, 8, 42]
Generated Node #0,1: 86:[93, 8, 42] Operation: 56-14=42
Exploring Operation: 56/14=4, Resulting Numbers: [93, 8, 4]
Generated Node #0,2: 86:[93, 8, 4] Operation: 56/14=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[93, 8, 42], Operations: ['56-14=42']
Exploring Operation: 93-8=85, Resulting Numbers: [42, 85]
Generated Node #0,1,0: 86:[42, 85] Operation: 93-8=85
Exploring Operation: 93-42=51, Resulting Numbers: [8, 51]
Generated Node #0,1,1: 86:[8, 51] Operation: 93-42=51
Exploring Operation: 8+42=50, Resulting Numbers: [93, 50]
Generated Node #0,1,2: 86:[93, 50] Operation: 8+42=50
Moving to Node #0,1,0
Current State: 86:[42, 85], Operations: ['56-14=42', '93-8=85']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,86 unequal: No Solution
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[8, 51], Operations: ['56-14=42', '93-42=51']
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,86 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[93, 50], Operations: ['56-14=42', '8+42=50']
Exploring Operation: 93-50=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 93+50=143, Resulting Numbers: [143]
143,86 unequal: No Solution
Exploring Operation: 93*50=4650, Resulting Numbers: [4650]
4650,86 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 #0,2
Current State: 86:[93, 8, 4], Operations: ['56/14=4']
Exploring Operation: 93-8=85, Resulting Numbers: [4, 85]
Generated Node #0,2,0: 86:[4, 85] Operation: 93-8=85
Exploring Operation: 93-4=89, Resulting Numbers: [8, 89]
Generated Node #0,2,1: 86:[8, 89] Operation: 93-4=89
Exploring Operation: 8/4=2, Resulting Numbers: [93, 2]
Generated Node #0,2,2: 86:[93, 2] Operation: 8/4=2
Moving to Node #0,2,0
Current State: 86:[4, 85], Operations: ['56/14=4', '93-8=85']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 4*85=340, Resulting Numbers: [340]
340,86 unequal: No Solution
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[93, 2], Operations: ['56/14=4', '8/4=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,86 unequal: No Solution
Exploring Operation: 93*2=186, Resulting Numbers: [186]
186,86 unequal: No Solution
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[8, 89], Operations: ['56/14=4', '93-4=89']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 8*89=712, Resulting Numbers: [712]
712,86 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
Current State: 86:[14, 8, 37], Operations: ['93-56=37']
Exploring Operation: 8+37=45, Resulting Numbers: [14, 45]
Generated Node #0,0,0: 86:[14, 45] Operation: 8+37=45
Exploring Operation: 14+37=51, Resulting Numbers: [8, 51]
Generated Node #0,0,1: 86:[8, 51] Operation: 14+37=51
Exploring Operation: 14-8=6, Resulting Numbers: [37, 6]
Generated Node #0,0,2: 86:[37, 6] Operation: 14-8=6
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 86:[37, 6], Operations: ['93-56=37', '14-8=6']
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,86 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[14, 45], Operations: ['93-56=37', '8+37=45']
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,86 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[8, 51], Operations: ['93-56=37', '14+37=51']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,86 unequal: No Solution
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
36,
33,
56,
51
] | 74
|
[
"36+33=69",
"56-51=5",
"69+5=74"
] |
Current State: 74:[36, 33, 56, 51], Operations: []
Exploring Operation: 36+33=69, Resulting Numbers: [56, 51, 69]
Generated Node #2: [56, 51, 69] from Operation: 36+33=69
Current State: 74:[56, 51, 69], Operations: ['36+33=69']
Exploring Operation: 56-51=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 56-51=5
Current State: 74:[69, 5], Operations: ['36+33=69', '56-51=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[36, 33, 56, 51], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [36, 33, 5]
Generated Node #0,0: 74:[36, 33, 5] Operation: 56-51=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[36, 33, 5], Operations: ['56-51=5']
Exploring Operation: 33+5=38, Resulting Numbers: [36, 38]
Generated Node #0,0,0: 74:[36, 38] Operation: 33+5=38
Moving to Node #0,0,0
Current State: 74:[36, 38], Operations: ['56-51=5', '33+5=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[36, 33, 56, 51], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [36, 33, 5]
Generated Node #0,0: 74:[36, 33, 5] Operation: 56-51=5
Moving to Node #0,0
Current State: 74:[36, 33, 5], Operations: ['56-51=5']
Exploring Operation: 33+5=38, Resulting Numbers: [36, 38]
Generated Node #0,0,0: 74:[36, 38] Operation: 33+5=38
Moving to Node #0,0,0
Current State: 74:[36, 38], Operations: ['56-51=5', '33+5=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
71,
84,
29,
9
] | 51
|
[
"84-71=13",
"29+9=38",
"13+38=51"
] |
Current State: 51:[71, 84, 29, 9], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [29, 9, 13]
Generated Node #2: [29, 9, 13] from Operation: 84-71=13
Current State: 51:[29, 9, 13], Operations: ['84-71=13']
Exploring Operation: 29+9=38, Resulting Numbers: [13, 38]
Generated Node #3: [13, 38] from Operation: 29+9=38
Current State: 51:[13, 38], Operations: ['84-71=13', '29+9=38']
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
Current State: 51:[71, 84, 29, 9], Operations: []
Exploring Operation: 84-29=55, Resulting Numbers: [71, 9, 55]
Generated Node #0,0: 51:[71, 9, 55] Operation: 84-29=55
Exploring Operation: 84-71=13, Resulting Numbers: [29, 9, 13]
Generated Node #0,1: 51:[29, 9, 13] Operation: 84-71=13
Exploring Operation: 71-29=42, Resulting Numbers: [84, 9, 42]
Generated Node #0,2: 51:[84, 9, 42] Operation: 71-29=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[29, 9, 13], Operations: ['84-71=13']
Exploring Operation: 13-9=4, Resulting Numbers: [29, 4]
Generated Node #0,1,0: 51:[29, 4] Operation: 13-9=4
Exploring Operation: 29-13=16, Resulting Numbers: [9, 16]
Generated Node #0,1,1: 51:[9, 16] Operation: 29-13=16
Exploring Operation: 29-9=20, Resulting Numbers: [13, 20]
Generated Node #0,1,2: 51:[13, 20] Operation: 29-9=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[9, 16], Operations: ['84-71=13', '29-13=16']
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,51 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[13, 20], Operations: ['84-71=13', '29-9=20']
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,51 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,51 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[29, 4], Operations: ['84-71=13', '13-9=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,51 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[71, 9, 55], Operations: ['84-29=55']
Exploring Operation: 71-55=16, Resulting Numbers: [9, 16]
Generated Node #0,0,0: 51:[9, 16] Operation: 71-55=16
Exploring Operation: 55-9=46, Resulting Numbers: [71, 46]
Generated Node #0,0,1: 51:[71, 46] Operation: 55-9=46
Exploring Operation: 71-9=62, Resulting Numbers: [55, 62]
Generated Node #0,0,2: 51:[55, 62] Operation: 71-9=62
Moving to Node #0,0,0
Current State: 51:[9, 16], Operations: ['84-29=55', '71-55=16']
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,51 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[55, 62], Operations: ['84-29=55', '71-9=62']
Exploring Operation: 55+62=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 55*62=3410, Resulting Numbers: [3410]
3410,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[71, 46], Operations: ['84-29=55', '55-9=46']
Exploring Operation: 71+46=117, Resulting Numbers: [117]
117,51 unequal: No Solution
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 71*46=3266, Resulting Numbers: [3266]
3266,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[84, 9, 42], Operations: ['71-29=42']
Exploring Operation: 84-9=75, Resulting Numbers: [42, 75]
Generated Node #0,2,0: 51:[42, 75] Operation: 84-9=75
Exploring Operation: 84/42=2, Resulting Numbers: [9, 2]
Generated Node #0,2,1: 51:[9, 2] Operation: 84/42=2
Exploring Operation: 84-42=42, Resulting Numbers: [9, 42]
Generated Node #0,2,2: 51:[9, 42] Operation: 84-42=42
Moving to Node #0,2,1
Current State: 51:[9, 2], Operations: ['71-29=42', '84/42=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[9, 42], Operations: ['71-29=42', '84-42=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,51 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,51 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[71, 84, 29, 9], Operations: []
Exploring Operation: 71-29=42, Resulting Numbers: [84, 9, 42]
Generated Node #0,2: 51:[84, 9, 42] Operation: 71-29=42
Moving to Node #0,2
Current State: 51:[84, 9, 42], Operations: ['71-29=42']
Exploring Operation: 84-42=42, Resulting Numbers: [9, 42]
Generated Node #0,2,2: 51:[9, 42] Operation: 84-42=42
Moving to Node #0,2,2
Current State: 51:[9, 42], Operations: ['71-29=42', '84-42=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278
|
hs_3
|
sum_heuristic
|
[
67,
60,
31,
55
] | 88
|
[
"60-55=5",
"31*5=155",
"155-67=88"
] |
Current State: 88:[67, 60, 31, 55], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [67, 31, 5]
Generated Node #2: [67, 31, 5] from Operation: 60-55=5
Current State: 88:[67, 31, 5], Operations: ['60-55=5']
Exploring Operation: 31*5=155, Resulting Numbers: [67, 155]
Generated Node #3: [67, 155] from Operation: 31*5=155
Current State: 88:[67, 155], Operations: ['60-55=5', '31*5=155']
Exploring Operation: 155-67=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
Current State: 88:[67, 60, 31, 55], Operations: []
Exploring Operation: 67-55=12, Resulting Numbers: [60, 31, 12]
Generated Node #0,0: 88:[60, 31, 12] Operation: 67-55=12
Exploring Operation: 60-55=5, Resulting Numbers: [67, 31, 5]
Generated Node #0,1: 88:[67, 31, 5] Operation: 60-55=5
Exploring Operation: 67-31=36, Resulting Numbers: [60, 55, 36]
Generated Node #0,2: 88:[60, 55, 36] Operation: 67-31=36
Exploring Operation: 67-60=7, Resulting Numbers: [31, 55, 7]
Generated Node #0,3: 88:[31, 55, 7] Operation: 67-60=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[31, 55, 7], Operations: ['67-60=7']
Exploring Operation: 55-7=48, Resulting Numbers: [31, 48]
Generated Node #0,3,0: 88:[31, 48] Operation: 55-7=48
Exploring Operation: 55-31=24, Resulting Numbers: [7, 24]
Generated Node #0,3,1: 88:[7, 24] Operation: 55-31=24
Exploring Operation: 31-7=24, Resulting Numbers: [55, 24]
Generated Node #0,3,2: 88:[55, 24] Operation: 31-7=24
Exploring Operation: 31+55=86, Resulting Numbers: [7, 86]
Generated Node #0,3,3: 88:[7, 86] Operation: 31+55=86
Moving to Node #0,3,1
Current State: 88:[7, 24], Operations: ['67-60=7', '55-31=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,88 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[7, 86], Operations: ['67-60=7', '31+55=86']
Exploring Operation: 7*86=602, Resulting Numbers: [602]
602,88 unequal: No Solution
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,88 unequal: No Solution
Exploring Operation: 7+86=93, Resulting Numbers: [93]
93,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[55, 24], Operations: ['67-60=7', '31-7=24']
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 55*24=1320, Resulting Numbers: [1320]
1320,88 unequal: No Solution
Exploring Operation: 55+24=79, Resulting Numbers: [79]
79,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[31, 48], Operations: ['67-60=7', '55-7=48']
Exploring Operation: 31*48=1488, Resulting Numbers: [1488]
1488,88 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[60, 31, 12], Operations: ['67-55=12']
Exploring Operation: 60+31=91, Resulting Numbers: [12, 91]
Generated Node #0,0,0: 88:[12, 91] Operation: 60+31=91
Exploring Operation: 60-12=48, Resulting Numbers: [31, 48]
Generated Node #0,0,1: 88:[31, 48] Operation: 60-12=48
Exploring Operation: 60/12=5, Resulting Numbers: [31, 5]
Generated Node #0,0,2: 88:[31, 5] Operation: 60/12=5
Exploring Operation: 60-31=29, Resulting Numbers: [12, 29]
Generated Node #0,0,3: 88:[12, 29] Operation: 60-31=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[12, 91], Operations: ['67-55=12', '60+31=91']
Exploring Operation: 12*91=1092, Resulting Numbers: [1092]
1092,88 unequal: No Solution
Exploring Operation: 12+91=103, Resulting Numbers: [103]
103,88 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,88 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 #0,0,3
Current State: 88:[12, 29], Operations: ['67-55=12', '60-31=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,88 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:[31, 5], Operations: ['67-55=12', '60/12=5']
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,88 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,88 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 #0,0,1
Current State: 88:[31, 48], Operations: ['67-55=12', '60-12=48']
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 31*48=1488, Resulting Numbers: [1488]
1488,88 unequal: No Solution
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,88 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:[67, 31, 5], Operations: ['60-55=5']
Exploring Operation: 31-5=26, Resulting Numbers: [67, 26]
Generated Node #0,1,0: 88:[67, 26] Operation: 31-5=26
Exploring Operation: 67+31=98, Resulting Numbers: [5, 98]
Generated Node #0,1,1: 88:[5, 98] Operation: 67+31=98
Exploring Operation: 67-31=36, Resulting Numbers: [5, 36]
Generated Node #0,1,2: 88:[5, 36] Operation: 67-31=36
Exploring Operation: 67+5=72, Resulting Numbers: [31, 72]
Generated Node #0,1,3: 88:[31, 72] Operation: 67+5=72
Moving to Node #0,1,2
Current State: 88:[5, 36], Operations: ['60-55=5', '67-31=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[5, 98], Operations: ['60-55=5', '67+31=98']
Exploring Operation: 5+98=103, Resulting Numbers: [103]
103,88 unequal: No Solution
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,88 unequal: No Solution
Exploring Operation: 5*98=490, Resulting Numbers: [490]
490,88 unequal: No Solution
Moving to Node #0,1,3
Current State: 88:[31, 72], Operations: ['60-55=5', '67+5=72']
Exploring Operation: 31*72=2232, Resulting Numbers: [2232]
2232,88 unequal: No Solution
Exploring Operation: 31+72=103, Resulting Numbers: [103]
103,88 unequal: No Solution
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[67, 26], Operations: ['60-55=5', '31-5=26']
Exploring Operation: 67+26=93, Resulting Numbers: [93]
93,88 unequal: No Solution
Exploring Operation: 67*26=1742, Resulting Numbers: [1742]
1742,88 unequal: No Solution
Exploring Operation: 67-26=41, Resulting Numbers: [41]
41,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[60, 55, 36], Operations: ['67-31=36']
Exploring Operation: 60+36=96, Resulting Numbers: [55, 96]
Generated Node #0,2,0: 88:[55, 96] Operation: 60+36=96
Exploring Operation: 60-36=24, Resulting Numbers: [55, 24]
Generated Node #0,2,1: 88:[55, 24] Operation: 60-36=24
Exploring Operation: 55+36=91, Resulting Numbers: [60, 91]
Generated Node #0,2,2: 88:[60, 91] Operation: 55+36=91
Exploring Operation: 60-55=5, Resulting Numbers: [36, 5]
Generated Node #0,2,3: 88:[36, 5] Operation: 60-55=5
Moving to Node #0,2,3
Current State: 88:[36, 5], Operations: ['67-31=36', '60-55=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[55, 24], Operations: ['67-31=36', '60-36=24']
Exploring Operation: 55+24=79, Resulting Numbers: [79]
79,88 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 55*24=1320, Resulting Numbers: [1320]
1320,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[60, 91], Operations: ['67-31=36', '55+36=91']
Exploring Operation: 60+91=151, Resulting Numbers: [151]
151,88 unequal: No Solution
Exploring Operation: 60*91=5460, Resulting Numbers: [5460]
5460,88 unequal: No Solution
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[55, 96], Operations: ['67-31=36', '60+36=96']
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,88 unequal: No Solution
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 55*96=5280, Resulting Numbers: [5280]
5280,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
42,
76,
43,
42
] | 43
|
[
"42-42=0",
"76*0=0",
"43+0=43"
] |
Current State: 43:[42, 76, 43, 42], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [76, 43, 0]
Generated Node #2: [76, 43, 0] from Operation: 42-42=0
Current State: 43:[76, 43, 0], Operations: ['42-42=0']
Exploring Operation: 76*0=0, Resulting Numbers: [43, 0]
Generated Node #3: [43, 0] from Operation: 76*0=0
Current State: 43:[43, 0], Operations: ['42-42=0', '76*0=0']
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[42, 76, 43, 42], Operations: []
Exploring Operation: 42+42=84, Resulting Numbers: [76, 43, 84]
Generated Node #0,0: 43:[76, 43, 84] Operation: 42+42=84
Exploring Operation: 76-43=33, Resulting Numbers: [42, 42, 33]
Generated Node #0,1: 43:[42, 42, 33] Operation: 76-43=33
Exploring Operation: 76-42=34, Resulting Numbers: [43, 42, 34]
Generated Node #0,2: 43:[43, 42, 34] Operation: 76-42=34
Exploring Operation: 76-42=34, Resulting Numbers: [42, 43, 34]
Generated Node #0,3: 43:[42, 43, 34] Operation: 76-42=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[43, 42, 34], Operations: ['76-42=34']
Exploring Operation: 42+34=76, Resulting Numbers: [43, 76]
Generated Node #0,2,0: 43:[43, 76] Operation: 42+34=76
Exploring Operation: 42-34=8, Resulting Numbers: [43, 8]
Generated Node #0,2,1: 43:[43, 8] Operation: 42-34=8
Exploring Operation: 43+34=77, Resulting Numbers: [42, 77]
Generated Node #0,2,2: 43:[42, 77] Operation: 43+34=77
Exploring Operation: 43-34=9, Resulting Numbers: [42, 9]
Generated Node #0,2,3: 43:[42, 9] Operation: 43-34=9
Moving to Node #0,2,0
Current State: 43:[43, 76], Operations: ['76-42=34', '42+34=76']
Exploring Operation: 43+76=119, Resulting Numbers: [119]
119,43 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 43*76=3268, Resulting Numbers: [3268]
3268,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[42, 77], Operations: ['76-42=34', '43+34=77']
Exploring Operation: 42+77=119, Resulting Numbers: [119]
119,43 unequal: No Solution
Exploring Operation: 42*77=3234, Resulting Numbers: [3234]
3234,43 unequal: No Solution
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[43, 8], Operations: ['76-42=34', '42-34=8']
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,43 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,43 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[42, 9], Operations: ['76-42=34', '43-34=9']
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,43 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,43 unequal: No Solution
No 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: 43:[42, 43, 34], Operations: ['76-42=34']
Exploring Operation: 42-34=8, Resulting Numbers: [43, 8]
Generated Node #0,3,0: 43:[43, 8] Operation: 42-34=8
Exploring Operation: 42+34=76, Resulting Numbers: [43, 76]
Generated Node #0,3,1: 43:[43, 76] Operation: 42+34=76
Exploring Operation: 43+34=77, Resulting Numbers: [42, 77]
Generated Node #0,3,2: 43:[42, 77] Operation: 43+34=77
Exploring Operation: 43-34=9, Resulting Numbers: [42, 9]
Generated Node #0,3,3: 43:[42, 9] Operation: 43-34=9
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 43:[43, 76], Operations: ['76-42=34', '42+34=76']
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 43*76=3268, Resulting Numbers: [3268]
3268,43 unequal: No Solution
Exploring Operation: 43+76=119, Resulting Numbers: [119]
119,43 unequal: No Solution
No 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: 43:[43, 8], Operations: ['76-42=34', '42-34=8']
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,43 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,43 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,43 unequal: No Solution
No 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: 43:[42, 77], Operations: ['76-42=34', '43+34=77']
Exploring Operation: 42*77=3234, Resulting Numbers: [3234]
3234,43 unequal: No Solution
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 42+77=119, Resulting Numbers: [119]
119,43 unequal: No Solution
No 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: 43:[42, 9], Operations: ['76-42=34', '43-34=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,43 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,43 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,43 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: 43:[42, 42, 33], Operations: ['76-43=33']
Exploring Operation: 42-33=9, Resulting Numbers: [42, 9]
Generated Node #0,1,0: 43:[42, 9] Operation: 42-33=9
Exploring Operation: 42-33=9, Resulting Numbers: [42, 9]
Generated Node #0,1,1: 43:[42, 9] Operation: 42-33=9
Exploring Operation: 42+33=75, Resulting Numbers: [42, 75]
Generated Node #0,1,2: 43:[42, 75] Operation: 42+33=75
Exploring Operation: 42+33=75, Resulting Numbers: [42, 75]
Generated Node #0,1,3: 43:[42, 75] Operation: 42+33=75
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 43:[42, 75], Operations: ['76-43=33', '42+33=75']
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,43 unequal: No Solution
No 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: 43:[42, 75], Operations: ['76-43=33', '42+33=75']
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,43 unequal: No Solution
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,43 unequal: No Solution
No 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: 43:[42, 9], Operations: ['76-43=33', '42-33=9']
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,43 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,43 unequal: No Solution
No 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: 43:[42, 9], Operations: ['76-43=33', '42-33=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,43 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,43 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,43 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: 43:[76, 43, 84], Operations: ['42+42=84']
Exploring Operation: 76-43=33, Resulting Numbers: [84, 33]
Generated Node #0,0,0: 43:[84, 33] Operation: 76-43=33
Exploring Operation: 84-43=41, Resulting Numbers: [76, 41]
Generated Node #0,0,1: 43:[76, 41] Operation: 84-43=41
Exploring Operation: 76+43=119, Resulting Numbers: [84, 119]
Generated Node #0,0,2: 43:[84, 119] Operation: 76+43=119
Exploring Operation: 84-76=8, Resulting Numbers: [43, 8]
Generated Node #0,0,3: 43:[43, 8] Operation: 84-76=8
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 43:[76, 41], Operations: ['42+42=84', '84-43=41']
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,43 unequal: No Solution
No 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: 43:[43, 8], Operations: ['42+42=84', '84-76=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,43 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,43 unequal: No Solution
No 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: 43:[84, 33], Operations: ['42+42=84', '76-43=33']
Exploring Operation: 84+33=117, Resulting Numbers: [117]
117,43 unequal: No Solution
Exploring Operation: 84*33=2772, Resulting Numbers: [2772]
2772,43 unequal: No Solution
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,43 unequal: No Solution
No 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: 43:[84, 119], Operations: ['42+42=84', '76+43=119']
Exploring Operation: 119-84=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 84*119=9996, Resulting Numbers: [9996]
9996,43 unequal: No Solution
Exploring Operation: 84+119=203, Resulting Numbers: [203]
203,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
60,
69,
15,
27
] | 100
|
[
"60/15=4",
"69+27=96",
"4+96=100"
] |
Current State: 100:[60, 69, 15, 27], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [69, 27, 4]
Generated Node #2: [69, 27, 4] from Operation: 60/15=4
Current State: 100:[69, 27, 4], Operations: ['60/15=4']
Exploring Operation: 69+27=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 69+27=96
Current State: 100:[4, 96], Operations: ['60/15=4', '69+27=96']
Exploring Operation: 4+96=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[60, 69, 15, 27], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [15, 27, 9]
Generated Node #0,0: 100:[15, 27, 9] Operation: 69-60=9
Exploring Operation: 69+27=96, Resulting Numbers: [60, 15, 96]
Generated Node #0,1: 100:[60, 15, 96] Operation: 69+27=96
Exploring Operation: 60/15=4, Resulting Numbers: [69, 27, 4]
Generated Node #0,2: 100:[69, 27, 4] Operation: 60/15=4
Exploring Operation: 69-15=54, Resulting Numbers: [60, 27, 54]
Generated Node #0,3: 100:[60, 27, 54] Operation: 69-15=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[15, 27, 9], Operations: ['69-60=9']
Exploring Operation: 27/9=3, Resulting Numbers: [15, 3]
Generated Node #0,0,0: 100:[15, 3] Operation: 27/9=3
Exploring Operation: 15-9=6, Resulting Numbers: [27, 6]
Generated Node #0,0,1: 100:[27, 6] Operation: 15-9=6
Exploring Operation: 15+9=24, Resulting Numbers: [27, 24]
Generated Node #0,0,2: 100:[27, 24] Operation: 15+9=24
Exploring Operation: 27-15=12, Resulting Numbers: [9, 12]
Generated Node #0,0,3: 100:[9, 12] Operation: 27-15=12
Moving to Node #0,0,1
Current State: 100:[27, 6], Operations: ['69-60=9', '15-9=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[9, 12], Operations: ['69-60=9', '27-15=12']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,100 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[27, 24], Operations: ['69-60=9', '15+9=24']
Exploring Operation: 27*24=648, Resulting Numbers: [648]
648,100 unequal: No Solution
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[15, 3], Operations: ['69-60=9', '27/9=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[60, 27, 54], Operations: ['69-15=54']
Exploring Operation: 60-27=33, Resulting Numbers: [54, 33]
Generated Node #0,3,0: 100:[54, 33] Operation: 60-27=33
Exploring Operation: 54-27=27, Resulting Numbers: [60, 27]
Generated Node #0,3,1: 100:[60, 27] Operation: 54-27=27
Exploring Operation: 60-54=6, Resulting Numbers: [27, 6]
Generated Node #0,3,2: 100:[27, 6] Operation: 60-54=6
Exploring Operation: 54/27=2, Resulting Numbers: [60, 2]
Generated Node #0,3,3: 100:[60, 2] Operation: 54/27=2
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 100:[27, 6], Operations: ['69-15=54', '60-54=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 100:[60, 2], Operations: ['69-15=54', '54/27=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 60*2=120, Resulting Numbers: [120]
120,100 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 100:[54, 33], Operations: ['69-15=54', '60-27=33']
Exploring Operation: 54*33=1782, Resulting Numbers: [1782]
1782,100 unequal: No Solution
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[60, 27], Operations: ['69-15=54', '54-27=27']
Exploring Operation: 60*27=1620, Resulting Numbers: [1620]
1620,100 unequal: No Solution
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[60, 15, 96], Operations: ['69+27=96']
Exploring Operation: 15+96=111, Resulting Numbers: [60, 111]
Generated Node #0,1,0: 100:[60, 111] Operation: 15+96=111
Exploring Operation: 60/15=4, Resulting Numbers: [96, 4]
Generated Node #0,1,1: 100:[96, 4] Operation: 60/15=4
Exploring Operation: 60-15=45, Resulting Numbers: [96, 45]
Generated Node #0,1,2: 100:[96, 45] Operation: 60-15=45
Exploring Operation: 96-60=36, Resulting Numbers: [15, 36]
Generated Node #0,1,3: 100:[15, 36] Operation: 96-60=36
Moving to Node #0,1,1
Current State: 100:[96, 4], Operations: ['69+27=96', '60/15=4']
Exploring Operation: 96*4=384, Resulting Numbers: [384]
384,100 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,100 unequal: No Solution
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[60, 69, 15, 27], Operations: []
Exploring Operation: 69+27=96, Resulting Numbers: [60, 15, 96]
Generated Node #0,1: 100:[60, 15, 96] Operation: 69+27=96
Moving to Node #0,1
Current State: 100:[60, 15, 96], Operations: ['69+27=96']
Exploring Operation: 60/15=4, Resulting Numbers: [96, 4]
Generated Node #0,1,1: 100:[96, 4] Operation: 60/15=4
Moving to Node #0,1,1
Current State: 100:[96, 4], Operations: ['69+27=96', '60/15=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597
|
hs_4
|
mult_heuristic
|
[
65,
53,
51,
36
] | 58
|
[
"65-36=29",
"53-51=2",
"29*2=58"
] |
Current State: 58:[65, 53, 51, 36], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [53, 51, 29]
Generated Node #2: [53, 51, 29] from Operation: 65-36=29
Current State: 58:[53, 51, 29], Operations: ['65-36=29']
Exploring Operation: 53-51=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 53-51=2
Current State: 58:[29, 2], Operations: ['65-36=29', '53-51=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[65, 53, 51, 36], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [65, 36, 2]
Generated Node #0,0: 58:[65, 36, 2] Operation: 53-51=2
Exploring Operation: 65-36=29, Resulting Numbers: [53, 51, 29]
Generated Node #0,1: 58:[53, 51, 29] Operation: 65-36=29
Moving to Node #0,1
Current State: 58:[53, 51, 29], Operations: ['65-36=29']
Exploring Operation: 53-51=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 58:[29, 2] Operation: 53-51=2
Exploring Operation: 53-29=24, Resulting Numbers: [51, 24]
Generated Node #0,1,1: 58:[51, 24] Operation: 53-29=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[29, 2], Operations: ['65-36=29', '53-51=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[65, 53, 51, 36], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [53, 51, 29]
Generated Node #0,1: 58:[53, 51, 29] Operation: 65-36=29
Moving to Node #0,1
Current State: 58:[53, 51, 29], Operations: ['65-36=29']
Exploring Operation: 53-51=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 58:[29, 2] Operation: 53-51=2
Moving to Node #0,1,0
Current State: 58:[29, 2], Operations: ['65-36=29', '53-51=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
11,
37,
39,
34
] | 12
|
[
"39-37=2",
"11*2=22",
"34-22=12"
] |
Current State: 12:[11, 37, 39, 34], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [11, 34, 2]
Generated Node #2: [11, 34, 2] from Operation: 39-37=2
Current State: 12:[11, 34, 2], Operations: ['39-37=2']
Exploring Operation: 11*2=22, Resulting Numbers: [34, 22]
Generated Node #3: [34, 22] from Operation: 11*2=22
Current State: 12:[34, 22], Operations: ['39-37=2', '11*2=22']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[11, 37, 39, 34], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [11, 34, 2]
Generated Node #0,0: 12:[11, 34, 2] Operation: 39-37=2
Exploring Operation: 39-34=5, Resulting Numbers: [11, 37, 5]
Generated Node #0,1: 12:[11, 37, 5] Operation: 39-34=5
Exploring Operation: 37-11=26, Resulting Numbers: [39, 34, 26]
Generated Node #0,2: 12:[39, 34, 26] Operation: 37-11=26
Exploring Operation: 39-11=28, Resulting Numbers: [37, 34, 28]
Generated Node #0,3: 12:[37, 34, 28] Operation: 39-11=28
Exploring Operation: 37-34=3, Resulting Numbers: [11, 39, 3]
Generated Node #0,4: 12:[11, 39, 3] Operation: 37-34=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[11, 34, 2], Operations: ['39-37=2']
Exploring Operation: 34-11=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 12:[2, 23] Operation: 34-11=23
Exploring Operation: 34-2=32, Resulting Numbers: [11, 32]
Generated Node #0,0,1: 12:[11, 32] Operation: 34-2=32
Exploring Operation: 11-2=9, Resulting Numbers: [34, 9]
Generated Node #0,0,2: 12:[34, 9] Operation: 11-2=9
Exploring Operation: 11+2=13, Resulting Numbers: [34, 13]
Generated Node #0,0,3: 12:[34, 13] Operation: 11+2=13
Exploring Operation: 34/2=17, Resulting Numbers: [11, 17]
Generated Node #0,0,4: 12:[11, 17] Operation: 34/2=17
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 12:[11, 17], Operations: ['39-37=2', '34/2=17']
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,12 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,12 unequal: No Solution
No 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: 12:[2, 23], Operations: ['39-37=2', '34-11=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,12 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,12 unequal: No Solution
No 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: 12:[11, 32], Operations: ['39-37=2', '34-2=32']
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 11*32=352, Resulting Numbers: [352]
352,12 unequal: No Solution
No 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: 12:[34, 13], Operations: ['39-37=2', '11+2=13']
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,12 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,12 unequal: No Solution
No 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: 12:[34, 9], Operations: ['39-37=2', '11-2=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,12 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: 12:[11, 37, 5], Operations: ['39-34=5']
Exploring Operation: 37-11=26, Resulting Numbers: [5, 26]
Generated Node #0,1,0: 12:[5, 26] Operation: 37-11=26
Exploring Operation: 11-5=6, Resulting Numbers: [37, 6]
Generated Node #0,1,1: 12:[37, 6] Operation: 11-5=6
Exploring Operation: 11+5=16, Resulting Numbers: [37, 16]
Generated Node #0,1,2: 12:[37, 16] Operation: 11+5=16
Exploring Operation: 37+5=42, Resulting Numbers: [11, 42]
Generated Node #0,1,3: 12:[11, 42] Operation: 37+5=42
Exploring Operation: 37-5=32, Resulting Numbers: [11, 32]
Generated Node #0,1,4: 12:[11, 32] Operation: 37-5=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[5, 26], Operations: ['39-34=5', '37-11=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,12 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,12 unequal: No Solution
No 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: 12:[11, 32], Operations: ['39-34=5', '37-5=32']
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 11*32=352, Resulting Numbers: [352]
352,12 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,12 unequal: No Solution
No 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: 12:[37, 6], Operations: ['39-34=5', '11-5=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,12 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,12 unequal: No Solution
No 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: 12:[37, 16], Operations: ['39-34=5', '11+5=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 37*16=592, Resulting Numbers: [592]
592,12 unequal: No Solution
No 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: 12:[11, 42], Operations: ['39-34=5', '37+5=42']
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,12 unequal: No Solution
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,12 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: 12:[11, 39, 3], Operations: ['37-34=3']
Exploring Operation: 39/3=13, Resulting Numbers: [11, 13]
Generated Node #0,4,0: 12:[11, 13] Operation: 39/3=13
Exploring Operation: 39-11=28, Resulting Numbers: [3, 28]
Generated Node #0,4,1: 12:[3, 28] Operation: 39-11=28
Exploring Operation: 39-3=36, Resulting Numbers: [11, 36]
Generated Node #0,4,2: 12:[11, 36] Operation: 39-3=36
Exploring Operation: 11+3=14, Resulting Numbers: [39, 14]
Generated Node #0,4,3: 12:[39, 14] Operation: 11+3=14
Exploring Operation: 11-3=8, Resulting Numbers: [39, 8]
Generated Node #0,4,4: 12:[39, 8] Operation: 11-3=8
Moving to Node #0,4,0
Current State: 12:[11, 13], Operations: ['37-34=3', '39/3=13']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,12 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Moving to Node #0,4,1
Current State: 12:[3, 28], Operations: ['37-34=3', '39-11=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,12 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,4,2
Current State: 12:[11, 36], Operations: ['37-34=3', '39-3=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,12 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Moving to Node #0,4,3
Current State: 12:[39, 14], Operations: ['37-34=3', '11+3=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,12 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,4,4
Current State: 12:[39, 8], Operations: ['37-34=3', '11-3=8']
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,12 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,12 unequal: No Solution
No 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: 12:[39, 34, 26], Operations: ['37-11=26']
Exploring Operation: 39+34=73, Resulting Numbers: [26, 73]
Generated Node #0,2,0: 12:[26, 73] Operation: 39+34=73
Exploring Operation: 39+26=65, Resulting Numbers: [34, 65]
Generated Node #0,2,1: 12:[34, 65] Operation: 39+26=65
Exploring Operation: 39-26=13, Resulting Numbers: [34, 13]
Generated Node #0,2,2: 12:[34, 13] Operation: 39-26=13
Exploring Operation: 39-34=5, Resulting Numbers: [26, 5]
Generated Node #0,2,3: 12:[26, 5] Operation: 39-34=5
Exploring Operation: 34-26=8, Resulting Numbers: [39, 8]
Generated Node #0,2,4: 12:[39, 8] Operation: 34-26=8
Moving to Node #0,2,3
Current State: 12:[26, 5], Operations: ['37-11=26', '39-34=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[34, 13], Operations: ['37-11=26', '39-26=13']
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,12 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Moving to Node #0,2,4
Current State: 12:[39, 8], Operations: ['37-11=26', '34-26=8']
Exploring Operation: 39*8=312, Resulting Numbers: [312]
312,12 unequal: No Solution
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[26, 73], Operations: ['37-11=26', '39+34=73']
Exploring Operation: 26+73=99, Resulting Numbers: [99]
99,12 unequal: No Solution
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 26*73=1898, Resulting Numbers: [1898]
1898,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[34, 65], Operations: ['37-11=26', '39+26=65']
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,12 unequal: No Solution
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 34*65=2210, Resulting Numbers: [2210]
2210,12 unequal: No Solution
No 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: 12:[37, 34, 28], Operations: ['39-11=28']
Exploring Operation: 37-34=3, Resulting Numbers: [28, 3]
Generated Node #0,3,0: 12:[28, 3] Operation: 37-34=3
Exploring Operation: 37+34=71, Resulting Numbers: [28, 71]
Generated Node #0,3,1: 12:[28, 71] Operation: 37+34=71
Exploring Operation: 37+28=65, Resulting Numbers: [34, 65]
Generated Node #0,3,2: 12:[34, 65] Operation: 37+28=65
Exploring Operation: 37-28=9, Resulting Numbers: [34, 9]
Generated Node #0,3,3: 12:[34, 9] Operation: 37-28=9
Exploring Operation: 34-28=6, Resulting Numbers: [37, 6]
Generated Node #0,3,4: 12:[37, 6] Operation: 34-28=6
Moving to Node #0,3,0
Current State: 12:[28, 3], Operations: ['39-11=28', '37-34=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,12 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[37, 6], Operations: ['39-11=28', '34-28=6']
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,12 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[34, 9], Operations: ['39-11=28', '37-28=9']
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,12 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[28, 71], Operations: ['39-11=28', '37+34=71']
Exploring Operation: 28+71=99, Resulting Numbers: [99]
99,12 unequal: No Solution
Exploring Operation: 71-28=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 28*71=1988, Resulting Numbers: [1988]
1988,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[34, 65], Operations: ['39-11=28', '37+28=65']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,12 unequal: No Solution
Exploring Operation: 34*65=2210, Resulting Numbers: [2210]
2210,12 unequal: No Solution
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,12 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
|
[
98,
93,
15,
27
] | 37
|
[
"98-93=5",
"15+27=42",
"42-5=37"
] |
Current State: 37:[98, 93, 15, 27], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [15, 27, 5]
Generated Node #2: [15, 27, 5] from Operation: 98-93=5
Current State: 37:[15, 27, 5], Operations: ['98-93=5']
Exploring Operation: 15+27=42, Resulting Numbers: [5, 42]
Generated Node #3: [5, 42] from Operation: 15+27=42
Current State: 37:[5, 42], Operations: ['98-93=5', '15+27=42']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[98, 93, 15, 27], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [15, 27, 5]
Generated Node #0,0: 37:[15, 27, 5] Operation: 98-93=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[15, 27, 5], Operations: ['98-93=5']
Exploring Operation: 15+5=20, Resulting Numbers: [27, 20]
Generated Node #0,0,0: 37:[27, 20] Operation: 15+5=20
Moving to Node #0,0,0
Current State: 37:[27, 20], Operations: ['98-93=5', '15+5=20']
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,37 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
|
[
74,
72,
83,
3
] | 75
|
[
"83-74=9",
"9/3=3",
"72+3=75"
] |
Current State: 75:[74, 72, 83, 3], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [72, 3, 9]
Generated Node #2: [72, 3, 9] from Operation: 83-74=9
Current State: 75:[72, 3, 9], Operations: ['83-74=9']
Exploring Operation: 9/3=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 9/3=3
Current State: 75:[72, 3], Operations: ['83-74=9', '9/3=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[74, 72, 83, 3], Operations: []
Exploring Operation: 72+3=75, Resulting Numbers: [74, 83, 75]
Generated Node #0,0: 75:[74, 83, 75] Operation: 72+3=75
Exploring Operation: 83-74=9, Resulting Numbers: [72, 3, 9]
Generated Node #0,1: 75:[72, 3, 9] Operation: 83-74=9
Exploring Operation: 83-72=11, Resulting Numbers: [74, 3, 11]
Generated Node #0,2: 75:[74, 3, 11] Operation: 83-72=11
Exploring Operation: 74-72=2, Resulting Numbers: [83, 3, 2]
Generated Node #0,3: 75:[83, 3, 2] Operation: 74-72=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[74, 3, 11], Operations: ['83-72=11']
Exploring Operation: 74+3=77, Resulting Numbers: [11, 77]
Generated Node #0,2,0: 75:[11, 77] Operation: 74+3=77
Exploring Operation: 3+11=14, Resulting Numbers: [74, 14]
Generated Node #0,2,1: 75:[74, 14] Operation: 3+11=14
Exploring Operation: 11-3=8, Resulting Numbers: [74, 8]
Generated Node #0,2,2: 75:[74, 8] Operation: 11-3=8
Exploring Operation: 74-3=71, Resulting Numbers: [11, 71]
Generated Node #0,2,3: 75:[11, 71] Operation: 74-3=71
Moving to Node #0,2,1
Current State: 75:[74, 14], Operations: ['83-72=11', '3+11=14']
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,75 unequal: No Solution
Exploring Operation: 74*14=1036, Resulting Numbers: [1036]
1036,75 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[74, 8], Operations: ['83-72=11', '11-3=8']
Exploring Operation: 74*8=592, Resulting Numbers: [592]
592,75 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,75 unequal: No Solution
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[11, 77], Operations: ['83-72=11', '74+3=77']
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 11+77=88, Resulting Numbers: [88]
88,75 unequal: No Solution
Exploring Operation: 11*77=847, Resulting Numbers: [847]
847,75 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,75 unequal: No Solution
Moving to Node #0,2,3
Current State: 75:[11, 71], Operations: ['83-72=11', '74-3=71']
Exploring Operation: 11*71=781, Resulting Numbers: [781]
781,75 unequal: No Solution
Exploring Operation: 11+71=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[72, 3, 9], Operations: ['83-74=9']
Exploring Operation: 72/9=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 75:[3, 8] Operation: 72/9=8
Exploring Operation: 72+3=75, Resulting Numbers: [9, 75]
Generated Node #0,1,1: 75:[9, 75] Operation: 72+3=75
Exploring Operation: 9-3=6, Resulting Numbers: [72, 6]
Generated Node #0,1,2: 75:[72, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [72, 3]
Generated Node #0,1,3: 75:[72, 3] Operation: 9/3=3
Moving to Node #0,1,0
Current State: 75:[3, 8], Operations: ['83-74=9', '72/9=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[72, 3], Operations: ['83-74=9', '9/3=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[74, 72, 83, 3], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [72, 3, 9]
Generated Node #0,1: 75:[72, 3, 9] Operation: 83-74=9
Moving to Node #0,1
Current State: 75:[72, 3, 9], Operations: ['83-74=9']
Exploring Operation: 9/3=3, Resulting Numbers: [72, 3]
Generated Node #0,1,3: 75:[72, 3] Operation: 9/3=3
Moving to Node #0,1,3
Current State: 75:[72, 3], Operations: ['83-74=9', '9/3=3']
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_4
|
mult_heuristic
|
[
40,
70,
20,
41
] | 49
|
[
"40+70=110",
"20+41=61",
"110-61=49"
] |
Current State: 49:[40, 70, 20, 41], Operations: []
Exploring Operation: 40+70=110, Resulting Numbers: [20, 41, 110]
Generated Node #2: [20, 41, 110] from Operation: 40+70=110
Current State: 49:[20, 41, 110], Operations: ['40+70=110']
Exploring Operation: 20+41=61, Resulting Numbers: [110, 61]
Generated Node #3: [110, 61] from Operation: 20+41=61
Current State: 49:[110, 61], Operations: ['40+70=110', '20+41=61']
Exploring Operation: 110-61=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[40, 70, 20, 41], Operations: []
Exploring Operation: 70-20=50, Resulting Numbers: [40, 41, 50]
Generated Node #0,0: 49:[40, 41, 50] Operation: 70-20=50
Exploring Operation: 70-40=30, Resulting Numbers: [20, 41, 30]
Generated Node #0,1: 49:[20, 41, 30] Operation: 70-40=30
Exploring Operation: 40/20=2, Resulting Numbers: [70, 41, 2]
Generated Node #0,2: 49:[70, 41, 2] Operation: 40/20=2
Exploring Operation: 40+20=60, Resulting Numbers: [70, 41, 60]
Generated Node #0,3: 49:[70, 41, 60] Operation: 40+20=60
Moving to Node #0,0
Current State: 49:[40, 41, 50], Operations: ['70-20=50']
Exploring Operation: 50-41=9, Resulting Numbers: [40, 9]
Generated Node #0,0,0: 49:[40, 9] Operation: 50-41=9
Exploring Operation: 40+41=81, Resulting Numbers: [50, 81]
Generated Node #0,0,1: 49:[50, 81] Operation: 40+41=81
Exploring Operation: 41-40=1, Resulting Numbers: [50, 1]
Generated Node #0,0,2: 49:[50, 1] Operation: 41-40=1
Exploring Operation: 50-40=10, Resulting Numbers: [41, 10]
Generated Node #0,0,3: 49:[41, 10] Operation: 50-40=10
Moving to Node #0,2
Current State: 49:[70, 41, 2], Operations: ['40/20=2']
Exploring Operation: 70/2=35, Resulting Numbers: [41, 35]
Generated Node #0,2,0: 49:[41, 35] Operation: 70/2=35
Exploring Operation: 70-2=68, Resulting Numbers: [41, 68]
Generated Node #0,2,1: 49:[41, 68] Operation: 70-2=68
Exploring Operation: 41+2=43, Resulting Numbers: [70, 43]
Generated Node #0,2,2: 49:[70, 43] Operation: 41+2=43
Exploring Operation: 70-41=29, Resulting Numbers: [2, 29]
Generated Node #0,2,3: 49:[2, 29] Operation: 70-41=29
Moving to Node #0,3
Current State: 49:[70, 41, 60], Operations: ['40+20=60']
Exploring Operation: 60-41=19, Resulting Numbers: [70, 19]
Generated Node #0,3,0: 49:[70, 19] Operation: 60-41=19
Exploring Operation: 70-60=10, Resulting Numbers: [41, 10]
Generated Node #0,3,1: 49:[41, 10] Operation: 70-60=10
Exploring Operation: 70-41=29, Resulting Numbers: [60, 29]
Generated Node #0,3,2: 49:[60, 29] Operation: 70-41=29
Exploring Operation: 70+41=111, Resulting Numbers: [60, 111]
Generated Node #0,3,3: 49:[60, 111] Operation: 70+41=111
Moving to Node #0,1
Current State: 49:[20, 41, 30], Operations: ['70-40=30']
Exploring Operation: 30-20=10, Resulting Numbers: [41, 10]
Generated Node #0,1,0: 49:[41, 10] Operation: 30-20=10
Exploring Operation: 20+41=61, Resulting Numbers: [30, 61]
Generated Node #0,1,1: 49:[30, 61] Operation: 20+41=61
Exploring Operation: 20+30=50, Resulting Numbers: [41, 50]
Generated Node #0,1,2: 49:[41, 50] Operation: 20+30=50
Exploring Operation: 41-30=11, Resulting Numbers: [20, 11]
Generated Node #0,1,3: 49:[20, 11] Operation: 41-30=11
Moving to Node #0,0,2
Current State: 49:[50, 1], Operations: ['70-20=50', '41-40=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[40, 70, 20, 41], Operations: []
Exploring Operation: 70-20=50, Resulting Numbers: [40, 41, 50]
Generated Node #0,0: 49:[40, 41, 50] Operation: 70-20=50
Moving to Node #0,0
Current State: 49:[40, 41, 50], Operations: ['70-20=50']
Exploring Operation: 41-40=1, Resulting Numbers: [50, 1]
Generated Node #0,0,2: 49:[50, 1] Operation: 41-40=1
Moving to Node #0,0,2
Current State: 49:[50, 1], Operations: ['70-20=50', '41-40=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.977431
|
hs_4
|
sum_heuristic
|
[
98,
88,
54,
77
] | 58
|
[
"98*88=8624",
"8624/77=112",
"112-54=58"
] |
Current State: 58:[98, 88, 54, 77], Operations: []
Exploring Operation: 98*88=8624, Resulting Numbers: [54, 77, 8624]
Generated Node #2: [54, 77, 8624] from Operation: 98*88=8624
Current State: 58:[54, 77, 8624], Operations: ['98*88=8624']
Exploring Operation: 8624/77=112, Resulting Numbers: [54, 112]
Generated Node #3: [54, 112] from Operation: 8624/77=112
Current State: 58:[54, 112], Operations: ['98*88=8624', '8624/77=112']
Exploring Operation: 112-54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[98, 88, 54, 77], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [54, 77, 10]
Generated Node #0,0: 58:[54, 77, 10] Operation: 98-88=10
Exploring Operation: 98-77=21, Resulting Numbers: [88, 54, 21]
Generated Node #0,1: 58:[88, 54, 21] Operation: 98-77=21
Exploring Operation: 88-77=11, Resulting Numbers: [98, 54, 11]
Generated Node #0,2: 58:[98, 54, 11] Operation: 88-77=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[54, 77, 10], Operations: ['98-88=10']
Exploring Operation: 77-10=67, Resulting Numbers: [54, 67]
Generated Node #0,0,0: 58:[54, 67] Operation: 77-10=67
Exploring Operation: 54+10=64, Resulting Numbers: [77, 64]
Generated Node #0,0,1: 58:[77, 64] Operation: 54+10=64
Exploring Operation: 77-54=23, Resulting Numbers: [10, 23]
Generated Node #0,0,2: 58:[10, 23] Operation: 77-54=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[54, 67], Operations: ['98-88=10', '77-10=67']
Exploring Operation: 54+67=121, Resulting Numbers: [121]
121,58 unequal: No Solution
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 54*67=3618, Resulting Numbers: [3618]
3618,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[10, 23], Operations: ['98-88=10', '77-54=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[77, 64], Operations: ['98-88=10', '54+10=64']
Exploring Operation: 77+64=141, Resulting Numbers: [141]
141,58 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 77*64=4928, Resulting Numbers: [4928]
4928,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[88, 54, 21], Operations: ['98-77=21']
Exploring Operation: 88-54=34, Resulting Numbers: [21, 34]
Generated Node #0,1,0: 58:[21, 34] Operation: 88-54=34
Exploring Operation: 54-21=33, Resulting Numbers: [88, 33]
Generated Node #0,1,1: 58:[88, 33] Operation: 54-21=33
Exploring Operation: 88-21=67, Resulting Numbers: [54, 67]
Generated Node #0,1,2: 58:[54, 67] Operation: 88-21=67
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[21, 34], Operations: ['98-77=21', '88-54=34']
Exploring Operation: 21*34=714, Resulting Numbers: [714]
714,58 unequal: No Solution
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 58:[54, 67], Operations: ['98-77=21', '88-21=67']
Exploring Operation: 67-54=13, Resulting Numbers: [13]
13,58 unequal: No Solution
Exploring Operation: 54*67=3618, Resulting Numbers: [3618]
3618,58 unequal: No Solution
Exploring Operation: 54+67=121, Resulting Numbers: [121]
121,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[88, 33], Operations: ['98-77=21', '54-21=33']
Exploring Operation: 88-33=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 88*33=2904, Resulting Numbers: [2904]
2904,58 unequal: No Solution
Exploring Operation: 88+33=121, Resulting Numbers: [121]
121,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[98, 54, 11], Operations: ['88-77=11']
Exploring Operation: 54+11=65, Resulting Numbers: [98, 65]
Generated Node #0,2,0: 58:[98, 65] Operation: 54+11=65
Exploring Operation: 98-54=44, Resulting Numbers: [11, 44]
Generated Node #0,2,1: 58:[11, 44] Operation: 98-54=44
Exploring Operation: 98-11=87, Resulting Numbers: [54, 87]
Generated Node #0,2,2: 58:[54, 87] Operation: 98-11=87
Moving to Node #0,2,1
Current State: 58:[11, 44], Operations: ['88-77=11', '98-54=44']
Exploring Operation: 11+44=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 44/11=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[54, 87], Operations: ['88-77=11', '98-11=87']
Exploring Operation: 54+87=141, Resulting Numbers: [141]
141,58 unequal: No Solution
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,58 unequal: No Solution
Exploring Operation: 54*87=4698, Resulting Numbers: [4698]
4698,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[98, 65], Operations: ['88-77=11', '54+11=65']
Exploring Operation: 98*65=6370, Resulting Numbers: [6370]
6370,58 unequal: No Solution
Exploring Operation: 98+65=163, Resulting Numbers: [163]
163,58 unequal: No Solution
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
26,
25,
48,
14
] | 29
|
[
"26-14=12",
"48/12=4",
"25+4=29"
] |
Current State: 29:[26, 25, 48, 14], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [25, 48, 12]
Generated Node #2: [25, 48, 12] from Operation: 26-14=12
Current State: 29:[25, 48, 12], Operations: ['26-14=12']
Exploring Operation: 48/12=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 48/12=4
Current State: 29:[25, 4], Operations: ['26-14=12', '48/12=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
Current State: 29:[26, 25, 48, 14], Operations: []
Exploring Operation: 48-14=34, Resulting Numbers: [26, 25, 34]
Generated Node #0,0: 29:[26, 25, 34] Operation: 48-14=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[26, 25, 34], Operations: ['48-14=34']
Exploring Operation: 34-25=9, Resulting Numbers: [26, 9]
Generated Node #0,0,0: 29:[26, 9] Operation: 34-25=9
Moving to Node #0,0,0
Current State: 29:[26, 9], Operations: ['48-14=34', '34-25=9']
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
23,
77,
94,
47
] | 27
|
[
"77-23=54",
"94/47=2",
"54/2=27"
] |
Current State: 27:[23, 77, 94, 47], Operations: []
Exploring Operation: 77-23=54, Resulting Numbers: [94, 47, 54]
Generated Node #2: [94, 47, 54] from Operation: 77-23=54
Current State: 27:[94, 47, 54], Operations: ['77-23=54']
Exploring Operation: 94/47=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 94/47=2
Current State: 27:[54, 2], Operations: ['77-23=54', '94/47=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
Current State: 27:[23, 77, 94, 47], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [23, 47, 17]
Generated Node #0,0: 27:[23, 47, 17] Operation: 94-77=17
Exploring Operation: 94-47=47, Resulting Numbers: [23, 77, 47]
Generated Node #0,1: 27:[23, 77, 47] Operation: 94-47=47
Exploring Operation: 77-47=30, Resulting Numbers: [23, 94, 30]
Generated Node #0,2: 27:[23, 94, 30] Operation: 77-47=30
Exploring Operation: 94/47=2, Resulting Numbers: [23, 77, 2]
Generated Node #0,3: 27:[23, 77, 2] Operation: 94/47=2
Exploring Operation: 77-23=54, Resulting Numbers: [94, 47, 54]
Generated Node #0,4: 27:[94, 47, 54] Operation: 77-23=54
Moving to Node #0,0
Current State: 27:[23, 47, 17], Operations: ['94-77=17']
Exploring Operation: 23-17=6, Resulting Numbers: [47, 6]
Generated Node #0,0,0: 27:[47, 6] Operation: 23-17=6
Exploring Operation: 23+17=40, Resulting Numbers: [47, 40]
Generated Node #0,0,1: 27:[47, 40] Operation: 23+17=40
Exploring Operation: 47+17=64, Resulting Numbers: [23, 64]
Generated Node #0,0,2: 27:[23, 64] Operation: 47+17=64
Exploring Operation: 47-17=30, Resulting Numbers: [23, 30]
Generated Node #0,0,3: 27:[23, 30] Operation: 47-17=30
Exploring Operation: 47-23=24, Resulting Numbers: [17, 24]
Generated Node #0,0,4: 27:[17, 24] Operation: 47-23=24
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 27:[23, 30], Operations: ['94-77=17', '47-17=30']
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,27 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 27:[17, 24], Operations: ['94-77=17', '47-23=24']
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,27 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[47, 6], Operations: ['94-77=17', '23-17=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,27 unequal: No Solution
Exploring Operation: 47*6=282, Resulting Numbers: [282]
282,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[47, 40], Operations: ['94-77=17', '23+17=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,27 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 47*40=1880, Resulting Numbers: [1880]
1880,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 27:[23, 64], Operations: ['94-77=17', '47+17=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,27 unequal: No Solution
Exploring Operation: 23*64=1472, Resulting Numbers: [1472]
1472,27 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 27:[23, 77, 2], Operations: ['94/47=2']
Exploring Operation: 77-23=54, Resulting Numbers: [2, 54]
Generated Node #0,3,0: 27:[2, 54] Operation: 77-23=54
Exploring Operation: 77-2=75, Resulting Numbers: [23, 75]
Generated Node #0,3,1: 27:[23, 75] Operation: 77-2=75
Exploring Operation: 77+2=79, Resulting Numbers: [23, 79]
Generated Node #0,3,2: 27:[23, 79] Operation: 77+2=79
Exploring Operation: 23+2=25, Resulting Numbers: [77, 25]
Generated Node #0,3,3: 27:[77, 25] Operation: 23+2=25
Exploring Operation: 23-2=21, Resulting Numbers: [77, 21]
Generated Node #0,3,4: 27:[77, 21] Operation: 23-2=21
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 27:[2, 54], Operations: ['94/47=2', '77-23=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[23, 77, 94, 47], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [23, 77, 2]
Generated Node #0,3: 27:[23, 77, 2] Operation: 94/47=2
Moving to Node #0,3
Current State: 27:[23, 77, 2], Operations: ['94/47=2']
Exploring Operation: 77-23=54, Resulting Numbers: [2, 54]
Generated Node #0,3,0: 27:[2, 54] Operation: 77-23=54
Moving to Node #0,3,0
Current State: 27:[2, 54], Operations: ['94/47=2', '77-23=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_5
|
mult_heuristic
|
[
69,
2,
76,
33
] | 95
|
[
"69*2=138",
"76-33=43",
"138-43=95"
] |
Current State: 95:[69, 2, 76, 33], Operations: []
Exploring Operation: 69*2=138, Resulting Numbers: [76, 33, 138]
Generated Node #2: [76, 33, 138] from Operation: 69*2=138
Current State: 95:[76, 33, 138], Operations: ['69*2=138']
Exploring Operation: 76-33=43, Resulting Numbers: [138, 43]
Generated Node #3: [138, 43] from Operation: 76-33=43
Current State: 95:[138, 43], Operations: ['69*2=138', '76-33=43']
Exploring Operation: 138-43=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[69, 2, 76, 33], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [2, 33, 7]
Generated Node #0,0: 95:[2, 33, 7] Operation: 76-69=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[2, 33, 7], Operations: ['76-69=7']
Exploring Operation: 33-7=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 95:[2, 26] Operation: 33-7=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[2, 26], Operations: ['76-69=7', '33-7=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
22,
28,
32,
21
] | 30
|
[
"32-21=11",
"22/11=2",
"28+2=30"
] |
Current State: 30:[22, 28, 32, 21], Operations: []
Exploring Operation: 32-21=11, Resulting Numbers: [22, 28, 11]
Generated Node #2: [22, 28, 11] from Operation: 32-21=11
Current State: 30:[22, 28, 11], Operations: ['32-21=11']
Exploring Operation: 22/11=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 22/11=2
Current State: 30:[28, 2], Operations: ['32-21=11', '22/11=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[22, 28, 32, 21], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [28, 32, 1]
Generated Node #0,0: 30:[28, 32, 1] Operation: 22-21=1
Exploring Operation: 28-22=6, Resulting Numbers: [32, 21, 6]
Generated Node #0,1: 30:[32, 21, 6] Operation: 28-22=6
Exploring Operation: 32-22=10, Resulting Numbers: [28, 21, 10]
Generated Node #0,2: 30:[28, 21, 10] Operation: 32-22=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[28, 32, 1], Operations: ['22-21=1']
Exploring Operation: 32-28=4, Resulting Numbers: [1, 4]
Generated Node #0,0,0: 30:[1, 4] Operation: 32-28=4
Exploring Operation: 32-1=31, Resulting Numbers: [28, 31]
Generated Node #0,0,1: 30:[28, 31] Operation: 32-1=31
Exploring Operation: 28+1=29, Resulting Numbers: [32, 29]
Generated Node #0,0,2: 30:[32, 29] Operation: 28+1=29
Moving to Node #0,0,0
Current State: 30:[1, 4], Operations: ['22-21=1', '32-28=4']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[28, 31], Operations: ['22-21=1', '32-1=31']
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,30 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,30 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[32, 29], Operations: ['22-21=1', '28+1=29']
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,30 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[32, 21, 6], Operations: ['28-22=6']
Exploring Operation: 32-21=11, Resulting Numbers: [6, 11]
Generated Node #0,1,0: 30:[6, 11] Operation: 32-21=11
Exploring Operation: 21-6=15, Resulting Numbers: [32, 15]
Generated Node #0,1,1: 30:[32, 15] Operation: 21-6=15
Exploring Operation: 21+6=27, Resulting Numbers: [32, 27]
Generated Node #0,1,2: 30:[32, 27] Operation: 21+6=27
Moving to Node #0,1,0
Current State: 30:[6, 11], Operations: ['28-22=6', '32-21=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,30 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[32, 15], Operations: ['28-22=6', '21-6=15']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,30 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,30 unequal: No Solution
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[32, 27], Operations: ['28-22=6', '21+6=27']
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,30 unequal: No Solution
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,30 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
Current State: 30:[28, 21, 10], Operations: ['32-22=10']
Exploring Operation: 28-21=7, Resulting Numbers: [10, 7]
Generated Node #0,2,0: 30:[10, 7] Operation: 28-21=7
Exploring Operation: 21-10=11, Resulting Numbers: [28, 11]
Generated Node #0,2,1: 30:[28, 11] Operation: 21-10=11
Exploring Operation: 21+10=31, Resulting Numbers: [28, 31]
Generated Node #0,2,2: 30:[28, 31] Operation: 21+10=31
Moving to Node #0,2,0
Current State: 30:[10, 7], Operations: ['32-22=10', '28-21=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,30 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,30 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[28, 11], Operations: ['32-22=10', '21-10=11']
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,30 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[28, 31], Operations: ['32-22=10', '21+10=31']
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,30 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
9,
90,
62,
45
] | 98
|
[
"90-9=81",
"62-45=17",
"81+17=98"
] |
Current State: 98:[9, 90, 62, 45], Operations: []
Exploring Operation: 90-9=81, Resulting Numbers: [62, 45, 81]
Generated Node #2: [62, 45, 81] from Operation: 90-9=81
Current State: 98:[62, 45, 81], Operations: ['90-9=81']
Exploring Operation: 62-45=17, Resulting Numbers: [81, 17]
Generated Node #3: [81, 17] from Operation: 62-45=17
Current State: 98:[81, 17], Operations: ['90-9=81', '62-45=17']
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
Current State: 98:[9, 90, 62, 45], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [9, 90, 17]
Generated Node #0,0: 98:[9, 90, 17] Operation: 62-45=17
Moving to Node #0,0
Current State: 98:[9, 90, 17], Operations: ['62-45=17']
Exploring Operation: 9+90=99, Resulting Numbers: [17, 99]
Generated Node #0,0,0: 98:[17, 99] Operation: 9+90=99
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[17, 99], Operations: ['62-45=17', '9+90=99']
Exploring Operation: 99-17=82, Resulting Numbers: [82]
82,98 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
|
[
37,
35,
1,
12
] | 13
|
[
"37-35=2",
"12-1=11",
"2+11=13"
] |
Current State: 13:[37, 35, 1, 12], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [1, 12, 2]
Generated Node #2: [1, 12, 2] from Operation: 37-35=2
Current State: 13:[1, 12, 2], Operations: ['37-35=2']
Exploring Operation: 12-1=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 12-1=11
Current State: 13:[2, 11], Operations: ['37-35=2', '12-1=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[37, 35, 1, 12], Operations: []
Exploring Operation: 35-12=23, Resulting Numbers: [37, 1, 23]
Generated Node #0,0: 13:[37, 1, 23] Operation: 35-12=23
Exploring Operation: 37-1=36, Resulting Numbers: [35, 12, 36]
Generated Node #0,1: 13:[35, 12, 36] Operation: 37-1=36
Exploring Operation: 37-12=25, Resulting Numbers: [35, 1, 25]
Generated Node #0,2: 13:[35, 1, 25] Operation: 37-12=25
Exploring Operation: 35-1=34, Resulting Numbers: [37, 12, 34]
Generated Node #0,3: 13:[37, 12, 34] Operation: 35-1=34
Exploring Operation: 37-35=2, Resulting Numbers: [1, 12, 2]
Generated Node #0,4: 13:[1, 12, 2] Operation: 37-35=2
Moving to Node #0,4
Current State: 13:[1, 12, 2], Operations: ['37-35=2']
Exploring Operation: 12/1=12, Resulting Numbers: [2, 12]
Generated Node #0,4,0: 13:[2, 12] Operation: 12/1=12
Exploring Operation: 1*12=12, Resulting Numbers: [2, 12]
Generated Node #0,4,1: 13:[2, 12] Operation: 1*12=12
Exploring Operation: 1*2=2, Resulting Numbers: [12, 2]
Generated Node #0,4,2: 13:[12, 2] Operation: 1*2=2
Exploring Operation: 1+2=3, Resulting Numbers: [12, 3]
Generated Node #0,4,3: 13:[12, 3] Operation: 1+2=3
Exploring Operation: 1+12=13, Resulting Numbers: [2, 13]
Generated Node #0,4,4: 13:[2, 13] Operation: 1+12=13
Moving to Node #0,1
Current State: 13:[35, 12, 36], Operations: ['37-1=36']
Exploring Operation: 35-12=23, Resulting Numbers: [36, 23]
Generated Node #0,1,0: 13:[36, 23] Operation: 35-12=23
Exploring Operation: 36-35=1, Resulting Numbers: [12, 1]
Generated Node #0,1,1: 13:[12, 1] Operation: 36-35=1
Exploring Operation: 36/12=3, Resulting Numbers: [35, 3]
Generated Node #0,1,2: 13:[35, 3] Operation: 36/12=3
Exploring Operation: 36-12=24, Resulting Numbers: [35, 24]
Generated Node #0,1,3: 13:[35, 24] Operation: 36-12=24
Exploring Operation: 35+12=47, Resulting Numbers: [36, 47]
Generated Node #0,1,4: 13:[36, 47] Operation: 35+12=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[12, 1], Operations: ['37-1=36', '36-35=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[37, 35, 1, 12], Operations: []
Exploring Operation: 37-1=36, Resulting Numbers: [35, 12, 36]
Generated Node #0,1: 13:[35, 12, 36] Operation: 37-1=36
Moving to Node #0,1
Current State: 13:[35, 12, 36], Operations: ['37-1=36']
Exploring Operation: 36-35=1, Resulting Numbers: [12, 1]
Generated Node #0,1,1: 13:[12, 1] Operation: 36-35=1
Moving to Node #0,1,1
Current State: 13:[12, 1], Operations: ['37-1=36', '36-35=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771
|
hs_5
|
sum_heuristic
|
[
85,
16,
38,
2
] | 82
|
[
"85+16=101",
"38/2=19",
"101-19=82"
] |
Current State: 82:[85, 16, 38, 2], Operations: []
Exploring Operation: 85+16=101, Resulting Numbers: [38, 2, 101]
Generated Node #2: [38, 2, 101] from Operation: 85+16=101
Current State: 82:[38, 2, 101], Operations: ['85+16=101']
Exploring Operation: 38/2=19, Resulting Numbers: [101, 19]
Generated Node #3: [101, 19] from Operation: 38/2=19
Current State: 82:[101, 19], Operations: ['85+16=101', '38/2=19']
Exploring Operation: 101-19=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[85, 16, 38, 2], Operations: []
Exploring Operation: 85-2=83, Resulting Numbers: [16, 38, 83]
Generated Node #0,0: 82:[16, 38, 83] Operation: 85-2=83
Exploring Operation: 16*2=32, Resulting Numbers: [85, 38, 32]
Generated Node #0,1: 82:[85, 38, 32] Operation: 16*2=32
Exploring Operation: 85-16=69, Resulting Numbers: [38, 2, 69]
Generated Node #0,2: 82:[38, 2, 69] Operation: 85-16=69
Exploring Operation: 16/2=8, Resulting Numbers: [85, 38, 8]
Generated Node #0,3: 82:[85, 38, 8] Operation: 16/2=8
Exploring Operation: 16+38=54, Resulting Numbers: [85, 2, 54]
Generated Node #0,4: 82:[85, 2, 54] Operation: 16+38=54
Moving to Node #0,3
Current State: 82:[85, 38, 8], Operations: ['16/2=8']
Exploring Operation: 85-8=77, Resulting Numbers: [38, 77]
Generated Node #0,3,0: 82:[38, 77] Operation: 85-8=77
Exploring Operation: 85-38=47, Resulting Numbers: [8, 47]
Generated Node #0,3,1: 82:[8, 47] Operation: 85-38=47
Exploring Operation: 38+8=46, Resulting Numbers: [85, 46]
Generated Node #0,3,2: 82:[85, 46] Operation: 38+8=46
Exploring Operation: 38-8=30, Resulting Numbers: [85, 30]
Generated Node #0,3,3: 82:[85, 30] Operation: 38-8=30
Exploring Operation: 85+8=93, Resulting Numbers: [38, 93]
Generated Node #0,3,4: 82:[38, 93] Operation: 85+8=93
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[38, 77], Operations: ['16/2=8', '85-8=77']
Exploring Operation: 38+77=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 38*77=2926, Resulting Numbers: [2926]
2926,82 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 82:[85, 46], Operations: ['16/2=8', '38+8=46']
Exploring Operation: 85*46=3910, Resulting Numbers: [3910]
3910,82 unequal: No Solution
Exploring Operation: 85-46=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 85+46=131, Resulting Numbers: [131]
131,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 82:[8, 47], Operations: ['16/2=8', '85-38=47']
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 82:[85, 30], Operations: ['16/2=8', '38-8=30']
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Exploring Operation: 85+30=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 85*30=2550, Resulting Numbers: [2550]
2550,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 82:[38, 93], Operations: ['16/2=8', '85+8=93']
Exploring Operation: 38*93=3534, Resulting Numbers: [3534]
3534,82 unequal: No Solution
Exploring Operation: 93-38=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Exploring Operation: 38+93=131, Resulting Numbers: [131]
131,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 82:[85, 38, 32], Operations: ['16*2=32']
Exploring Operation: 85+32=117, Resulting Numbers: [38, 117]
Generated Node #0,1,0: 82:[38, 117] Operation: 85+32=117
Exploring Operation: 85-38=47, Resulting Numbers: [32, 47]
Generated Node #0,1,1: 82:[32, 47] Operation: 85-38=47
Exploring Operation: 38+32=70, Resulting Numbers: [85, 70]
Generated Node #0,1,2: 82:[85, 70] Operation: 38+32=70
Exploring Operation: 85-32=53, Resulting Numbers: [38, 53]
Generated Node #0,1,3: 82:[38, 53] Operation: 85-32=53
Exploring Operation: 38-32=6, Resulting Numbers: [85, 6]
Generated Node #0,1,4: 82:[85, 6] Operation: 38-32=6
Moving to Node #0,2
Current State: 82:[38, 2, 69], Operations: ['85-16=69']
Exploring Operation: 69-2=67, Resulting Numbers: [38, 67]
Generated Node #0,2,0: 82:[38, 67] Operation: 69-2=67
Exploring Operation: 38+2=40, Resulting Numbers: [69, 40]
Generated Node #0,2,1: 82:[69, 40] Operation: 38+2=40
Exploring Operation: 2+69=71, Resulting Numbers: [38, 71]
Generated Node #0,2,2: 82:[38, 71] Operation: 2+69=71
Exploring Operation: 69-38=31, Resulting Numbers: [2, 31]
Generated Node #0,2,3: 82:[2, 31] Operation: 69-38=31
Exploring Operation: 38-2=36, Resulting Numbers: [69, 36]
Generated Node #0,2,4: 82:[69, 36] Operation: 38-2=36
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 82:[2, 31], Operations: ['85-16=69', '69-38=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[69, 40], Operations: ['85-16=69', '38+2=40']
Exploring Operation: 69*40=2760, Resulting Numbers: [2760]
2760,82 unequal: No Solution
Exploring Operation: 69+40=109, Resulting Numbers: [109]
109,82 unequal: No Solution
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[38, 71], Operations: ['85-16=69', '2+69=71']
Exploring Operation: 38+71=109, Resulting Numbers: [109]
109,82 unequal: No Solution
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 38*71=2698, Resulting Numbers: [2698]
2698,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[38, 67], Operations: ['85-16=69', '69-2=67']
Exploring Operation: 38*67=2546, Resulting Numbers: [2546]
2546,82 unequal: No Solution
Exploring Operation: 38+67=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 82:[69, 36], Operations: ['85-16=69', '38-2=36']
Exploring Operation: 69+36=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 69*36=2484, Resulting Numbers: [2484]
2484,82 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: 82:[85, 2, 54], Operations: ['16+38=54']
Exploring Operation: 54-2=52, Resulting Numbers: [85, 52]
Generated Node #0,4,0: 82:[85, 52] Operation: 54-2=52
Exploring Operation: 85+2=87, Resulting Numbers: [54, 87]
Generated Node #0,4,1: 82:[54, 87] Operation: 85+2=87
Exploring Operation: 85-54=31, Resulting Numbers: [2, 31]
Generated Node #0,4,2: 82:[2, 31] Operation: 85-54=31
Exploring Operation: 85-2=83, Resulting Numbers: [54, 83]
Generated Node #0,4,3: 82:[54, 83] Operation: 85-2=83
Exploring Operation: 54/2=27, Resulting Numbers: [85, 27]
Generated Node #0,4,4: 82:[85, 27] Operation: 54/2=27
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[2, 31], Operations: ['16+38=54', '85-54=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 82:[85, 52], Operations: ['16+38=54', '54-2=52']
Exploring Operation: 85-52=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 85+52=137, Resulting Numbers: [137]
137,82 unequal: No Solution
Exploring Operation: 85*52=4420, Resulting Numbers: [4420]
4420,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 82:[54, 83], Operations: ['16+38=54', '85-2=83']
Exploring Operation: 54+83=137, Resulting Numbers: [137]
137,82 unequal: No Solution
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 54*83=4482, Resulting Numbers: [4482]
4482,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 82:[85, 27], Operations: ['16+38=54', '54/2=27']
Exploring Operation: 85*27=2295, Resulting Numbers: [2295]
2295,82 unequal: No Solution
Exploring Operation: 85+27=112, Resulting Numbers: [112]
112,82 unequal: No Solution
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 82:[54, 87], Operations: ['16+38=54', '85+2=87']
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 54*87=4698, Resulting Numbers: [4698]
4698,82 unequal: No Solution
Exploring Operation: 54+87=141, Resulting Numbers: [141]
141,82 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: 82:[16, 38, 83], Operations: ['85-2=83']
Exploring Operation: 16+38=54, Resulting Numbers: [83, 54]
Generated Node #0,0,0: 82:[83, 54] Operation: 16+38=54
Exploring Operation: 83-16=67, Resulting Numbers: [38, 67]
Generated Node #0,0,1: 82:[38, 67] Operation: 83-16=67
Exploring Operation: 38-16=22, Resulting Numbers: [83, 22]
Generated Node #0,0,2: 82:[83, 22] Operation: 38-16=22
Exploring Operation: 16+83=99, Resulting Numbers: [38, 99]
Generated Node #0,0,3: 82:[38, 99] Operation: 16+83=99
Exploring Operation: 83-38=45, Resulting Numbers: [16, 45]
Generated Node #0,0,4: 82:[16, 45] Operation: 83-38=45
Moving to Node #0,1,4
Current State: 82:[85, 6], Operations: ['16*2=32', '38-32=6']
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,82 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,82 unequal: No Solution
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[83, 54], Operations: ['85-2=83', '16+38=54']
Exploring Operation: 83+54=137, Resulting Numbers: [137]
137,82 unequal: No Solution
Exploring Operation: 83*54=4482, Resulting Numbers: [4482]
4482,82 unequal: No Solution
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[85, 70], Operations: ['16*2=32', '38+32=70']
Exploring Operation: 85*70=5950, Resulting Numbers: [5950]
5950,82 unequal: No Solution
Exploring Operation: 85+70=155, Resulting Numbers: [155]
155,82 unequal: No Solution
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[32, 47], Operations: ['16*2=32', '85-38=47']
Exploring Operation: 32+47=79, Resulting Numbers: [79]
79,82 unequal: No Solution
Exploring Operation: 32*47=1504, Resulting Numbers: [1504]
1504,82 unequal: No Solution
Exploring Operation: 47-32=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[38, 53], Operations: ['16*2=32', '85-32=53']
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,82 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[38, 67], Operations: ['85-2=83', '83-16=67']
Exploring Operation: 38+67=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 38*67=2546, Resulting Numbers: [2546]
2546,82 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Moving to Node #0,0,4
Current State: 82:[16, 45], Operations: ['85-2=83', '83-38=45']
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,82 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[83, 22], Operations: ['85-2=83', '38-16=22']
Exploring Operation: 83+22=105, Resulting Numbers: [105]
105,82 unequal: No Solution
Exploring Operation: 83*22=1826, Resulting Numbers: [1826]
1826,82 unequal: No Solution
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[38, 99], Operations: ['85-2=83', '16+83=99']
Exploring Operation: 99-38=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 38*99=3762, Resulting Numbers: [3762]
3762,82 unequal: No Solution
Exploring Operation: 38+99=137, Resulting Numbers: [137]
137,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[38, 117], Operations: ['16*2=32', '85+32=117']
Exploring Operation: 117-38=79, Resulting Numbers: [79]
79,82 unequal: No Solution
Exploring Operation: 38+117=155, Resulting Numbers: [155]
155,82 unequal: No Solution
Exploring Operation: 38*117=4446, Resulting Numbers: [4446]
4446,82 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
59,
90,
5,
65
] | 29
|
[
"90-59=31",
"65-5=60",
"60-31=29"
] |
Current State: 29:[59, 90, 5, 65], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [5, 65, 31]
Generated Node #2: [5, 65, 31] from Operation: 90-59=31
Current State: 29:[5, 65, 31], Operations: ['90-59=31']
Exploring Operation: 65-5=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 65-5=60
Current State: 29:[31, 60], Operations: ['90-59=31', '65-5=60']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
Current State: 29:[59, 90, 5, 65], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [59, 65, 18]
Generated Node #0,0: 29:[59, 65, 18] Operation: 90/5=18
Exploring Operation: 90-65=25, Resulting Numbers: [59, 5, 25]
Generated Node #0,1: 29:[59, 5, 25] Operation: 90-65=25
Exploring Operation: 90-59=31, Resulting Numbers: [5, 65, 31]
Generated Node #0,2: 29:[5, 65, 31] Operation: 90-59=31
Moving to Node #0,1
Current State: 29:[59, 5, 25], Operations: ['90-65=25']
Exploring Operation: 5+25=30, Resulting Numbers: [59, 30]
Generated Node #0,1,0: 29:[59, 30] Operation: 5+25=30
Exploring Operation: 59-5=54, Resulting Numbers: [25, 54]
Generated Node #0,1,1: 29:[25, 54] Operation: 59-5=54
Exploring Operation: 59-25=34, Resulting Numbers: [5, 34]
Generated Node #0,1,2: 29:[5, 34] Operation: 59-25=34
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[25, 54], Operations: ['90-65=25', '59-5=54']
Exploring Operation: 25*54=1350, Resulting Numbers: [1350]
1350,29 unequal: No Solution
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[59, 90, 5, 65], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [59, 5, 25]
Generated Node #0,1: 29:[59, 5, 25] Operation: 90-65=25
Moving to Node #0,1
Current State: 29:[59, 5, 25], Operations: ['90-65=25']
Exploring Operation: 59-5=54, Resulting Numbers: [25, 54]
Generated Node #0,1,1: 29:[25, 54] Operation: 59-5=54
Moving to Node #0,1,1
Current State: 29:[25, 54], Operations: ['90-65=25', '59-5=54']
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
mult_heuristic
|
[
59,
67,
58,
92
] | 24
|
[
"59+67=126",
"58+92=150",
"150-126=24"
] |
Current State: 24:[59, 67, 58, 92], Operations: []
Exploring Operation: 59+67=126, Resulting Numbers: [58, 92, 126]
Generated Node #2: [58, 92, 126] from Operation: 59+67=126
Current State: 24:[58, 92, 126], Operations: ['59+67=126']
Exploring Operation: 58+92=150, Resulting Numbers: [126, 150]
Generated Node #3: [126, 150] from Operation: 58+92=150
Current State: 24:[126, 150], Operations: ['59+67=126', '58+92=150']
Exploring Operation: 150-126=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[59, 67, 58, 92], Operations: []
Exploring Operation: 92-67=25, Resulting Numbers: [59, 58, 25]
Generated Node #0,0: 24:[59, 58, 25] Operation: 92-67=25
Moving to Node #0,0
Current State: 24:[59, 58, 25], Operations: ['92-67=25']
Exploring Operation: 59-58=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 24:[25, 1] Operation: 59-58=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[25, 1], Operations: ['92-67=25', '59-58=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[59, 67, 58, 92], Operations: []
Exploring Operation: 92-67=25, Resulting Numbers: [59, 58, 25]
Generated Node #0,0: 24:[59, 58, 25] Operation: 92-67=25
Moving to Node #0,0
Current State: 24:[59, 58, 25], Operations: ['92-67=25']
Exploring Operation: 59-58=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 24:[25, 1] Operation: 59-58=1
Moving to Node #0,0,0
Current State: 24:[25, 1], Operations: ['92-67=25', '59-58=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
20,
40,
74,
16
] | 78
|
[
"40-20=20",
"74-16=58",
"20+58=78"
] |
Current State: 78:[20, 40, 74, 16], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [74, 16, 20]
Generated Node #2: [74, 16, 20] from Operation: 40-20=20
Current State: 78:[74, 16, 20], Operations: ['40-20=20']
Exploring Operation: 74-16=58, Resulting Numbers: [20, 58]
Generated Node #3: [20, 58] from Operation: 74-16=58
Current State: 78:[20, 58], Operations: ['40-20=20', '74-16=58']
Exploring Operation: 20+58=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[20, 40, 74, 16], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [74, 16, 2]
Generated Node #0,0: 78:[74, 16, 2] Operation: 40/20=2
Exploring Operation: 20-16=4, Resulting Numbers: [40, 74, 4]
Generated Node #0,1: 78:[40, 74, 4] Operation: 20-16=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[40, 74, 4], Operations: ['20-16=4']
Exploring Operation: 74-40=34, Resulting Numbers: [4, 34]
Generated Node #0,1,0: 78:[4, 34] Operation: 74-40=34
Exploring Operation: 74+4=78, Resulting Numbers: [40, 78]
Generated Node #0,1,1: 78:[40, 78] Operation: 74+4=78
Moving to Node #0,1,1
Current State: 78:[40, 78], Operations: ['20-16=4', '74+4=78']
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,78 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[4, 34], Operations: ['20-16=4', '74-40=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,78 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[74, 16, 2], Operations: ['40/20=2']
Exploring Operation: 74+2=76, Resulting Numbers: [16, 76]
Generated Node #0,0,0: 78:[16, 76] Operation: 74+2=76
Exploring Operation: 74/2=37, Resulting Numbers: [16, 37]
Generated Node #0,0,1: 78:[16, 37] Operation: 74/2=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[16, 76], Operations: ['40/20=2', '74+2=76']
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,78 unequal: No Solution
Exploring Operation: 16+76=92, Resulting Numbers: [92]
92,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[16, 37], Operations: ['40/20=2', '74/2=37']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
34,
97,
10,
95
] | 46
|
[
"34+97=131",
"95-10=85",
"131-85=46"
] |
Current State: 46:[34, 97, 10, 95], Operations: []
Exploring Operation: 34+97=131, Resulting Numbers: [10, 95, 131]
Generated Node #2: [10, 95, 131] from Operation: 34+97=131
Current State: 46:[10, 95, 131], Operations: ['34+97=131']
Exploring Operation: 95-10=85, Resulting Numbers: [131, 85]
Generated Node #3: [131, 85] from Operation: 95-10=85
Current State: 46:[131, 85], Operations: ['34+97=131', '95-10=85']
Exploring Operation: 131-85=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[34, 97, 10, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [34, 10, 2]
Generated Node #0,0: 46:[34, 10, 2] Operation: 97-95=2
Exploring Operation: 97-34=63, Resulting Numbers: [10, 95, 63]
Generated Node #0,1: 46:[10, 95, 63] Operation: 97-34=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[34, 10, 2], Operations: ['97-95=2']
Exploring Operation: 34-10=24, Resulting Numbers: [2, 24]
Generated Node #0,0,0: 46:[2, 24] Operation: 34-10=24
Exploring Operation: 34+10=44, Resulting Numbers: [2, 44]
Generated Node #0,0,1: 46:[2, 44] Operation: 34+10=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[2, 24], Operations: ['97-95=2', '34-10=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,46 unequal: No Solution
No 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: 46:[2, 44], Operations: ['97-95=2', '34+10=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[34, 97, 10, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [34, 10, 2]
Generated Node #0,0: 46:[34, 10, 2] Operation: 97-95=2
Moving to Node #0,0
Current State: 46:[34, 10, 2], Operations: ['97-95=2']
Exploring Operation: 34+10=44, Resulting Numbers: [2, 44]
Generated Node #0,0,1: 46:[2, 44] Operation: 34+10=44
Moving to Node #0,0,1
Current State: 46:[2, 44], Operations: ['97-95=2', '34+10=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
mult_heuristic
|
[
3,
81,
34,
21
] | 82
|
[
"81/3=27",
"34+21=55",
"27+55=82"
] |
Current State: 82:[3, 81, 34, 21], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [34, 21, 27]
Generated Node #2: [34, 21, 27] from Operation: 81/3=27
Current State: 82:[34, 21, 27], Operations: ['81/3=27']
Exploring Operation: 34+21=55, Resulting Numbers: [27, 55]
Generated Node #3: [27, 55] from Operation: 34+21=55
Current State: 82:[27, 55], Operations: ['81/3=27', '34+21=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[3, 81, 34, 21], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [81, 34, 18]
Generated Node #0,0: 82:[81, 34, 18] Operation: 21-3=18
Exploring Operation: 34+21=55, Resulting Numbers: [3, 81, 55]
Generated Node #0,1: 82:[3, 81, 55] Operation: 34+21=55
Exploring Operation: 34-21=13, Resulting Numbers: [3, 81, 13]
Generated Node #0,2: 82:[3, 81, 13] Operation: 34-21=13
Exploring Operation: 21/3=7, Resulting Numbers: [81, 34, 7]
Generated Node #0,3: 82:[81, 34, 7] Operation: 21/3=7
Exploring Operation: 3+34=37, Resulting Numbers: [81, 21, 37]
Generated Node #0,4: 82:[81, 21, 37] Operation: 3+34=37
Moving to Node #0,2
Current State: 82:[3, 81, 13], Operations: ['34-21=13']
Exploring Operation: 13-3=10, Resulting Numbers: [81, 10]
Generated Node #0,2,0: 82:[81, 10] Operation: 13-3=10
Exploring Operation: 3*13=39, Resulting Numbers: [81, 39]
Generated Node #0,2,1: 82:[81, 39] Operation: 3*13=39
Exploring Operation: 81-3=78, Resulting Numbers: [13, 78]
Generated Node #0,2,2: 82:[13, 78] Operation: 81-3=78
Exploring Operation: 3+81=84, Resulting Numbers: [13, 84]
Generated Node #0,2,3: 82:[13, 84] Operation: 3+81=84
Exploring Operation: 81+13=94, Resulting Numbers: [3, 94]
Generated Node #0,2,4: 82:[3, 94] Operation: 81+13=94
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[81, 39], Operations: ['34-21=13', '3*13=39']
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,82 unequal: No Solution
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,82 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[81, 10], Operations: ['34-21=13', '13-3=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,82 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 82:[13, 84], Operations: ['34-21=13', '3+81=84']
Exploring Operation: 13*84=1092, Resulting Numbers: [1092]
1092,82 unequal: No Solution
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 13+84=97, Resulting Numbers: [97]
97,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 82:[3, 94], Operations: ['34-21=13', '81+13=94']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 3*94=282, Resulting Numbers: [282]
282,82 unequal: No Solution
Exploring Operation: 3+94=97, Resulting Numbers: [97]
97,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[13, 78], Operations: ['34-21=13', '81-3=78']
Exploring Operation: 13+78=91, Resulting Numbers: [91]
91,82 unequal: No Solution
Exploring Operation: 13*78=1014, Resulting Numbers: [1014]
1014,82 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,82 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,82 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: 82:[81, 34, 7], Operations: ['21/3=7']
Exploring Operation: 34+7=41, Resulting Numbers: [81, 41]
Generated Node #0,3,0: 82:[81, 41] Operation: 34+7=41
Exploring Operation: 81-7=74, Resulting Numbers: [34, 74]
Generated Node #0,3,1: 82:[34, 74] Operation: 81-7=74
Exploring Operation: 34-7=27, Resulting Numbers: [81, 27]
Generated Node #0,3,2: 82:[81, 27] Operation: 34-7=27
Exploring Operation: 81+7=88, Resulting Numbers: [34, 88]
Generated Node #0,3,3: 82:[34, 88] Operation: 81+7=88
Exploring Operation: 81-34=47, Resulting Numbers: [7, 47]
Generated Node #0,3,4: 82:[7, 47] Operation: 81-34=47
Moving to Node #0,1
Current State: 82:[3, 81, 55], Operations: ['34+21=55']
Exploring Operation: 3+55=58, Resulting Numbers: [81, 58]
Generated Node #0,1,0: 82:[81, 58] Operation: 3+55=58
Exploring Operation: 81-3=78, Resulting Numbers: [55, 78]
Generated Node #0,1,1: 82:[55, 78] Operation: 81-3=78
Exploring Operation: 3+81=84, Resulting Numbers: [55, 84]
Generated Node #0,1,2: 82:[55, 84] Operation: 3+81=84
Exploring Operation: 81-55=26, Resulting Numbers: [3, 26]
Generated Node #0,1,3: 82:[3, 26] Operation: 81-55=26
Exploring Operation: 55-3=52, Resulting Numbers: [81, 52]
Generated Node #0,1,4: 82:[81, 52] Operation: 55-3=52
Moving to Node #0,0
Current State: 82:[81, 34, 18], Operations: ['21-3=18']
Exploring Operation: 81-18=63, Resulting Numbers: [34, 63]
Generated Node #0,0,0: 82:[34, 63] Operation: 81-18=63
Exploring Operation: 34+18=52, Resulting Numbers: [81, 52]
Generated Node #0,0,1: 82:[81, 52] Operation: 34+18=52
Exploring Operation: 81-34=47, Resulting Numbers: [18, 47]
Generated Node #0,0,2: 82:[18, 47] Operation: 81-34=47
Exploring Operation: 81+18=99, Resulting Numbers: [34, 99]
Generated Node #0,0,3: 82:[34, 99] Operation: 81+18=99
Exploring Operation: 34-18=16, Resulting Numbers: [81, 16]
Generated Node #0,0,4: 82:[81, 16] Operation: 34-18=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[81, 52], Operations: ['21-3=18', '34+18=52']
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 82:[81, 16], Operations: ['21-3=18', '34-18=16']
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 81*16=1296, Resulting Numbers: [1296]
1296,82 unequal: No Solution
Exploring Operation: 81+16=97, Resulting Numbers: [97]
97,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[18, 47], Operations: ['21-3=18', '81-34=47']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 18*47=846, Resulting Numbers: [846]
846,82 unequal: No Solution
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 82:[34, 99], Operations: ['21-3=18', '81+18=99']
Exploring Operation: 34*99=3366, Resulting Numbers: [3366]
3366,82 unequal: No Solution
Exploring Operation: 99-34=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 34+99=133, Resulting Numbers: [133]
133,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[34, 63], Operations: ['21-3=18', '81-18=63']
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 34*63=2142, Resulting Numbers: [2142]
2142,82 unequal: No Solution
Exploring Operation: 34+63=97, Resulting Numbers: [97]
97,82 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: 82:[81, 21, 37], Operations: ['3+34=37']
Exploring Operation: 37-21=16, Resulting Numbers: [81, 16]
Generated Node #0,4,0: 82:[81, 16] Operation: 37-21=16
Exploring Operation: 81+21=102, Resulting Numbers: [37, 102]
Generated Node #0,4,1: 82:[37, 102] Operation: 81+21=102
Exploring Operation: 81-37=44, Resulting Numbers: [21, 44]
Generated Node #0,4,2: 82:[21, 44] Operation: 81-37=44
Exploring Operation: 21+37=58, Resulting Numbers: [81, 58]
Generated Node #0,4,3: 82:[81, 58] Operation: 21+37=58
Exploring Operation: 81-21=60, Resulting Numbers: [37, 60]
Generated Node #0,4,4: 82:[37, 60] Operation: 81-21=60
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 82:[81, 16], Operations: ['3+34=37', '37-21=16']
Exploring Operation: 81+16=97, Resulting Numbers: [97]
97,82 unequal: No Solution
Exploring Operation: 81*16=1296, Resulting Numbers: [1296]
1296,82 unequal: No Solution
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 82:[81, 58], Operations: ['3+34=37', '21+37=58']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,82 unequal: No Solution
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[21, 44], Operations: ['3+34=37', '81-37=44']
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 82:[37, 60], Operations: ['3+34=37', '81-21=60']
Exploring Operation: 60-37=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 37+60=97, Resulting Numbers: [97]
97,82 unequal: No Solution
Exploring Operation: 37*60=2220, Resulting Numbers: [2220]
2220,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 82:[37, 102], Operations: ['3+34=37', '81+21=102']
Exploring Operation: 37*102=3774, Resulting Numbers: [3774]
3774,82 unequal: No Solution
Exploring Operation: 37+102=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,82 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: 82:[81, 41], Operations: ['21/3=7', '34+7=41']
Exploring Operation: 81+41=122, Resulting Numbers: [122]
122,82 unequal: No Solution
Exploring Operation: 81-41=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 81*41=3321, Resulting Numbers: [3321]
3321,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[7, 47], Operations: ['21/3=7', '81-34=47']
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 7*47=329, Resulting Numbers: [329]
329,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[81, 52], Operations: ['34+21=55', '55-3=52']
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,82 unequal: No Solution
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,82 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[34, 88], Operations: ['21/3=7', '81+7=88']
Exploring Operation: 34*88=2992, Resulting Numbers: [2992]
2992,82 unequal: No Solution
Exploring Operation: 34+88=122, Resulting Numbers: [122]
122,82 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[81, 27], Operations: ['21/3=7', '34-7=27']
Exploring Operation: 81*27=2187, Resulting Numbers: [2187]
2187,82 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[34, 74], Operations: ['21/3=7', '81-7=74']
Exploring Operation: 34*74=2516, Resulting Numbers: [2516]
2516,82 unequal: No Solution
Exploring Operation: 74-34=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 34+74=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[55, 84], Operations: ['34+21=55', '3+81=84']
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 55*84=4620, Resulting Numbers: [4620]
4620,82 unequal: No Solution
Exploring Operation: 55+84=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[3, 26], Operations: ['34+21=55', '81-55=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,82 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[81, 58], Operations: ['34+21=55', '3+55=58']
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[55, 78], Operations: ['34+21=55', '81-3=78']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 55*78=4290, Resulting Numbers: [4290]
4290,82 unequal: No Solution
Exploring Operation: 55+78=133, Resulting Numbers: [133]
133,82 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
41,
8,
10,
12
] | 17
|
[
"10-8=2",
"12*2=24",
"41-24=17"
] |
Current State: 17:[41, 8, 10, 12], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [41, 12, 2]
Generated Node #2: [41, 12, 2] from Operation: 10-8=2
Current State: 17:[41, 12, 2], Operations: ['10-8=2']
Exploring Operation: 12*2=24, Resulting Numbers: [41, 24]
Generated Node #3: [41, 24] from Operation: 12*2=24
Current State: 17:[41, 24], Operations: ['10-8=2', '12*2=24']
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[41, 8, 10, 12], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [8, 10, 29]
Generated Node #0,0: 17:[8, 10, 29] Operation: 41-12=29
Exploring Operation: 8+10=18, Resulting Numbers: [41, 12, 18]
Generated Node #0,1: 17:[41, 12, 18] Operation: 8+10=18
Exploring Operation: 41-8=33, Resulting Numbers: [10, 12, 33]
Generated Node #0,2: 17:[10, 12, 33] Operation: 41-8=33
Exploring Operation: 8+12=20, Resulting Numbers: [41, 10, 20]
Generated Node #0,3: 17:[41, 10, 20] Operation: 8+12=20
Exploring Operation: 41-10=31, Resulting Numbers: [8, 12, 31]
Generated Node #0,4: 17:[8, 12, 31] Operation: 41-10=31
Moving to Node #0,0
Current State: 17:[8, 10, 29], Operations: ['41-12=29']
Exploring Operation: 29-8=21, Resulting Numbers: [10, 21]
Generated Node #0,0,0: 17:[10, 21] Operation: 29-8=21
Exploring Operation: 29-10=19, Resulting Numbers: [8, 19]
Generated Node #0,0,1: 17:[8, 19] Operation: 29-10=19
Exploring Operation: 8+29=37, Resulting Numbers: [10, 37]
Generated Node #0,0,2: 17:[10, 37] Operation: 8+29=37
Exploring Operation: 10-8=2, Resulting Numbers: [29, 2]
Generated Node #0,0,3: 17:[29, 2] Operation: 10-8=2
Exploring Operation: 8+10=18, Resulting Numbers: [29, 18]
Generated Node #0,0,4: 17:[29, 18] Operation: 8+10=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[10, 21], Operations: ['41-12=29', '29-8=21']
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,17 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,17 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 #0,0,1
Current State: 17:[8, 19], Operations: ['41-12=29', '29-10=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,17 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 #0,0,4
Current State: 17:[29, 18], Operations: ['41-12=29', '8+10=18']
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,17 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,17 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 #0,0,2
Current State: 17:[10, 37], Operations: ['41-12=29', '8+29=37']
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 10*37=370, Resulting Numbers: [370]
370,17 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,17 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 #0,0,3
Current State: 17:[29, 2], Operations: ['41-12=29', '10-8=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,17 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: 17:[8, 12, 31], Operations: ['41-10=31']
Exploring Operation: 8+31=39, Resulting Numbers: [12, 39]
Generated Node #0,4,0: 17:[12, 39] Operation: 8+31=39
Exploring Operation: 8+12=20, Resulting Numbers: [31, 20]
Generated Node #0,4,1: 17:[31, 20] Operation: 8+12=20
Exploring Operation: 12-8=4, Resulting Numbers: [31, 4]
Generated Node #0,4,2: 17:[31, 4] Operation: 12-8=4
Exploring Operation: 31-12=19, Resulting Numbers: [8, 19]
Generated Node #0,4,3: 17:[8, 19] Operation: 31-12=19
Exploring Operation: 31-8=23, Resulting Numbers: [12, 23]
Generated Node #0,4,4: 17:[12, 23] Operation: 31-8=23
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 17:[8, 19], Operations: ['41-10=31', '31-12=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,17 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 #0,4,4
Current State: 17:[12, 23], Operations: ['41-10=31', '31-8=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,17 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,17 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 #0,4,1
Current State: 17:[31, 20], Operations: ['41-10=31', '8+12=20']
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,17 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,17 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 #0,4,0
Current State: 17:[12, 39], Operations: ['41-10=31', '8+31=39']
Exploring Operation: 12*39=468, Resulting Numbers: [468]
468,17 unequal: No Solution
Exploring Operation: 12+39=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,17 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 #0,4,2
Current State: 17:[31, 4], Operations: ['41-10=31', '12-8=4']
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,17 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,17 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,17 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: 17:[10, 12, 33], Operations: ['41-8=33']
Exploring Operation: 33-10=23, Resulting Numbers: [12, 23]
Generated Node #0,2,0: 17:[12, 23] Operation: 33-10=23
Exploring Operation: 10+12=22, Resulting Numbers: [33, 22]
Generated Node #0,2,1: 17:[33, 22] Operation: 10+12=22
Exploring Operation: 12-10=2, Resulting Numbers: [33, 2]
Generated Node #0,2,2: 17:[33, 2] Operation: 12-10=2
Exploring Operation: 33-12=21, Resulting Numbers: [10, 21]
Generated Node #0,2,3: 17:[10, 21] Operation: 33-12=21
Exploring Operation: 10+33=43, Resulting Numbers: [12, 43]
Generated Node #0,2,4: 17:[12, 43] Operation: 10+33=43
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[12, 23], Operations: ['41-8=33', '33-10=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,17 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 17:[10, 21], Operations: ['41-8=33', '33-12=21']
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,17 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 17:[33, 22], Operations: ['41-8=33', '10+12=22']
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[33, 2], Operations: ['41-8=33', '12-10=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 17:[12, 43], Operations: ['41-8=33', '10+33=43']
Exploring Operation: 12*43=516, Resulting Numbers: [516]
516,17 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 12+43=55, Resulting Numbers: [55]
55,17 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: 17:[41, 12, 18], Operations: ['8+10=18']
Exploring Operation: 41+12=53, Resulting Numbers: [18, 53]
Generated Node #0,1,0: 17:[18, 53] Operation: 41+12=53
Exploring Operation: 41-18=23, Resulting Numbers: [12, 23]
Generated Node #0,1,1: 17:[12, 23] Operation: 41-18=23
Exploring Operation: 41-12=29, Resulting Numbers: [18, 29]
Generated Node #0,1,2: 17:[18, 29] Operation: 41-12=29
Exploring Operation: 18-12=6, Resulting Numbers: [41, 6]
Generated Node #0,1,3: 17:[41, 6] Operation: 18-12=6
Exploring Operation: 12+18=30, Resulting Numbers: [41, 30]
Generated Node #0,1,4: 17:[41, 30] Operation: 12+18=30
Moving to Node #0,3
Current State: 17:[41, 10, 20], Operations: ['8+12=20']
Exploring Operation: 41+10=51, Resulting Numbers: [20, 51]
Generated Node #0,3,0: 17:[20, 51] Operation: 41+10=51
Exploring Operation: 20-10=10, Resulting Numbers: [41, 10]
Generated Node #0,3,1: 17:[41, 10] Operation: 20-10=10
Exploring Operation: 10+20=30, Resulting Numbers: [41, 30]
Generated Node #0,3,2: 17:[41, 30] Operation: 10+20=30
Exploring Operation: 41-10=31, Resulting Numbers: [20, 31]
Generated Node #0,3,3: 17:[20, 31] Operation: 41-10=31
Exploring Operation: 41-20=21, Resulting Numbers: [10, 21]
Generated Node #0,3,4: 17:[10, 21] Operation: 41-20=21
Moving to Node #0,1,1
Current State: 17:[12, 23], Operations: ['8+10=18', '41-18=23']
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,17 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,17 unequal: No Solution
Moving to Node #0,3,4
Current State: 17:[10, 21], Operations: ['8+12=20', '41-20=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,17 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[18, 29], Operations: ['8+10=18', '41-12=29']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,17 unequal: No Solution
Moving to Node #0,3,3
Current State: 17:[20, 31], Operations: ['8+12=20', '41-10=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,17 unequal: No Solution
Moving to Node #0,3,1
Current State: 17:[41, 10], Operations: ['8+12=20', '20-10=10']
Exploring Operation: 41*10=410, Resulting Numbers: [410]
410,17 unequal: No Solution
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,17 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[41, 6], Operations: ['8+10=18', '18-12=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,17 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,17 unequal: No Solution
Moving to Node #0,3,0
Current State: 17:[20, 51], Operations: ['8+12=20', '41+10=51']
Exploring Operation: 20*51=1020, Resulting Numbers: [1020]
1020,17 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 20+51=71, Resulting Numbers: [71]
71,17 unequal: No Solution
Moving to Node #0,3,2
Current State: 17:[41, 30], Operations: ['8+12=20', '10+20=30']
Exploring Operation: 41*30=1230, Resulting Numbers: [1230]
1230,17 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 41+30=71, Resulting Numbers: [71]
71,17 unequal: No Solution
Moving to Node #0,1,4
Current State: 17:[41, 30], Operations: ['8+10=18', '12+18=30']
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 41*30=1230, Resulting Numbers: [1230]
1230,17 unequal: No Solution
Exploring Operation: 41+30=71, Resulting Numbers: [71]
71,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[18, 53], Operations: ['8+10=18', '41+12=53']
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,17 unequal: No Solution
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,17 unequal: No Solution
Exploring Operation: 18*53=954, Resulting Numbers: [954]
954,17 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
62,
23,
36,
15
] | 31
|
[
"36-23=13",
"15-13=2",
"62/2=31"
] |
Current State: 31:[62, 23, 36, 15], Operations: []
Exploring Operation: 36-23=13, Resulting Numbers: [62, 15, 13]
Generated Node #2: [62, 15, 13] from Operation: 36-23=13
Current State: 31:[62, 15, 13], Operations: ['36-23=13']
Exploring Operation: 15-13=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 15-13=2
Current State: 31:[62, 2], Operations: ['36-23=13', '15-13=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[62, 23, 36, 15], Operations: []
Exploring Operation: 62-36=26, Resulting Numbers: [23, 15, 26]
Generated Node #0,0: 31:[23, 15, 26] Operation: 62-36=26
Exploring Operation: 36-15=21, Resulting Numbers: [62, 23, 21]
Generated Node #0,1: 31:[62, 23, 21] Operation: 36-15=21
Exploring Operation: 62-23=39, Resulting Numbers: [36, 15, 39]
Generated Node #0,2: 31:[36, 15, 39] Operation: 62-23=39
Exploring Operation: 23+15=38, Resulting Numbers: [62, 36, 38]
Generated Node #0,3: 31:[62, 36, 38] Operation: 23+15=38
Exploring Operation: 62-15=47, Resulting Numbers: [23, 36, 47]
Generated Node #0,4: 31:[23, 36, 47] Operation: 62-15=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[23, 15, 26], Operations: ['62-36=26']
Exploring Operation: 23+15=38, Resulting Numbers: [26, 38]
Generated Node #0,0,0: 31:[26, 38] Operation: 23+15=38
Exploring Operation: 15+26=41, Resulting Numbers: [23, 41]
Generated Node #0,0,1: 31:[23, 41] Operation: 15+26=41
Exploring Operation: 23+26=49, Resulting Numbers: [15, 49]
Generated Node #0,0,2: 31:[15, 49] Operation: 23+26=49
Exploring Operation: 23-15=8, Resulting Numbers: [26, 8]
Generated Node #0,0,3: 31:[26, 8] Operation: 23-15=8
Exploring Operation: 26-15=11, Resulting Numbers: [23, 11]
Generated Node #0,0,4: 31:[23, 11] Operation: 26-15=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[26, 38], Operations: ['62-36=26', '23+15=38']
Exploring Operation: 26*38=988, Resulting Numbers: [988]
988,31 unequal: No Solution
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[23, 41], Operations: ['62-36=26', '15+26=41']
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 31:[26, 8], Operations: ['62-36=26', '23-15=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,31 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 31:[23, 11], Operations: ['62-36=26', '26-15=11']
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,31 unequal: No Solution
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,31 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[15, 49], Operations: ['62-36=26', '23+26=49']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,31 unequal: No Solution
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 15*49=735, Resulting Numbers: [735]
735,31 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: 31:[36, 15, 39], Operations: ['62-23=39']
Exploring Operation: 36+15=51, Resulting Numbers: [39, 51]
Generated Node #0,2,0: 31:[39, 51] Operation: 36+15=51
Exploring Operation: 36-15=21, Resulting Numbers: [39, 21]
Generated Node #0,2,1: 31:[39, 21] Operation: 36-15=21
Exploring Operation: 39-15=24, Resulting Numbers: [36, 24]
Generated Node #0,2,2: 31:[36, 24] Operation: 39-15=24
Exploring Operation: 39-36=3, Resulting Numbers: [15, 3]
Generated Node #0,2,3: 31:[15, 3] Operation: 39-36=3
Exploring Operation: 15+39=54, Resulting Numbers: [36, 54]
Generated Node #0,2,4: 31:[36, 54] Operation: 15+39=54
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[36, 24], Operations: ['62-23=39', '39-15=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,31 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[39, 21], Operations: ['62-23=39', '36-15=21']
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,31 unequal: No Solution
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[39, 51], Operations: ['62-23=39', '36+15=51']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 39+51=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 39*51=1989, Resulting Numbers: [1989]
1989,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 31:[36, 54], Operations: ['62-23=39', '15+39=54']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 36*54=1944, Resulting Numbers: [1944]
1944,31 unequal: No Solution
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 31:[15, 3], Operations: ['62-23=39', '39-36=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,31 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: 31:[23, 36, 47], Operations: ['62-15=47']
Exploring Operation: 47-23=24, Resulting Numbers: [36, 24]
Generated Node #0,4,0: 31:[36, 24] Operation: 47-23=24
Exploring Operation: 47-36=11, Resulting Numbers: [23, 11]
Generated Node #0,4,1: 31:[23, 11] Operation: 47-36=11
Exploring Operation: 23+47=70, Resulting Numbers: [36, 70]
Generated Node #0,4,2: 31:[36, 70] Operation: 23+47=70
Exploring Operation: 23+36=59, Resulting Numbers: [47, 59]
Generated Node #0,4,3: 31:[47, 59] Operation: 23+36=59
Exploring Operation: 36-23=13, Resulting Numbers: [47, 13]
Generated Node #0,4,4: 31:[47, 13] Operation: 36-23=13
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 31:[36, 24], Operations: ['62-15=47', '47-23=24']
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 31:[23, 11], Operations: ['62-15=47', '47-36=11']
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,31 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 23*11=253, Resulting Numbers: [253]
253,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 31:[47, 13], Operations: ['62-15=47', '36-23=13']
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,31 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 31:[36, 70], Operations: ['62-15=47', '23+47=70']
Exploring Operation: 36*70=2520, Resulting Numbers: [2520]
2520,31 unequal: No Solution
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,31 unequal: No Solution
Exploring Operation: 36+70=106, Resulting Numbers: [106]
106,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 31:[47, 59], Operations: ['62-15=47', '23+36=59']
Exploring Operation: 47+59=106, Resulting Numbers: [106]
106,31 unequal: No Solution
Exploring Operation: 47*59=2773, Resulting Numbers: [2773]
2773,31 unequal: No Solution
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,31 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: 31:[62, 36, 38], Operations: ['23+15=38']
Exploring Operation: 62+38=100, Resulting Numbers: [36, 100]
Generated Node #0,3,0: 31:[36, 100] Operation: 62+38=100
Exploring Operation: 62+36=98, Resulting Numbers: [38, 98]
Generated Node #0,3,1: 31:[38, 98] Operation: 62+36=98
Exploring Operation: 62-36=26, Resulting Numbers: [38, 26]
Generated Node #0,3,2: 31:[38, 26] Operation: 62-36=26
Exploring Operation: 38-36=2, Resulting Numbers: [62, 2]
Generated Node #0,3,3: 31:[62, 2] Operation: 38-36=2
Exploring Operation: 62-38=24, Resulting Numbers: [36, 24]
Generated Node #0,3,4: 31:[36, 24] Operation: 62-38=24
Moving to Node #0,3,2
Current State: 31:[38, 26], Operations: ['23+15=38', '62-36=26']
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[36, 24], Operations: ['23+15=38', '62-38=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[62, 2], Operations: ['23+15=38', '38-36=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 62*2=124, Resulting Numbers: [124]
124,31 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[62, 23, 36, 15], Operations: []
Exploring Operation: 23+15=38, Resulting Numbers: [62, 36, 38]
Generated Node #0,3: 31:[62, 36, 38] Operation: 23+15=38
Moving to Node #0,3
Current State: 31:[62, 36, 38], Operations: ['23+15=38']
Exploring Operation: 38-36=2, Resulting Numbers: [62, 2]
Generated Node #0,3,3: 31:[62, 2] Operation: 38-36=2
Moving to Node #0,3,3
Current State: 31:[62, 2], Operations: ['23+15=38', '38-36=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.926215
|
hs_5
|
mult_heuristic
|
[
4,
83,
13,
68
] | 87
|
[
"4+13=17",
"68/17=4",
"83+4=87"
] |
Current State: 87:[4, 83, 13, 68], Operations: []
Exploring Operation: 4+13=17, Resulting Numbers: [83, 68, 17]
Generated Node #2: [83, 68, 17] from Operation: 4+13=17
Current State: 87:[83, 68, 17], Operations: ['4+13=17']
Exploring Operation: 68/17=4, Resulting Numbers: [83, 4]
Generated Node #3: [83, 4] from Operation: 68/17=4
Current State: 87:[83, 4], Operations: ['4+13=17', '68/17=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
Current State: 87:[4, 83, 13, 68], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [83, 68, 9]
Generated Node #0,0: 87:[83, 68, 9] Operation: 13-4=9
Exploring Operation: 83-68=15, Resulting Numbers: [4, 13, 15]
Generated Node #0,1: 87:[4, 13, 15] Operation: 83-68=15
Exploring Operation: 68/4=17, Resulting Numbers: [83, 13, 17]
Generated Node #0,2: 87:[83, 13, 17] Operation: 68/4=17
Exploring Operation: 4+83=87, Resulting Numbers: [13, 68, 87]
Generated Node #0,3: 87:[13, 68, 87] Operation: 4+83=87
Exploring Operation: 13+68=81, Resulting Numbers: [4, 83, 81]
Generated Node #0,4: 87:[4, 83, 81] Operation: 13+68=81
Start Sub Search at level 1: Moving to Node #0,4
Current State: 87:[4, 83, 81], Operations: ['13+68=81']
Exploring Operation: 83-81=2, Resulting Numbers: [4, 2]
Generated Node #0,4,0: 87:[4, 2] Operation: 83-81=2
Exploring Operation: 4+81=85, Resulting Numbers: [83, 85]
Generated Node #0,4,1: 87:[83, 85] Operation: 4+81=85
Exploring Operation: 83-4=79, Resulting Numbers: [81, 79]
Generated Node #0,4,2: 87:[81, 79] Operation: 83-4=79
Exploring Operation: 81-4=77, Resulting Numbers: [83, 77]
Generated Node #0,4,3: 87:[83, 77] Operation: 81-4=77
Exploring Operation: 4+83=87, Resulting Numbers: [81, 87]
Generated Node #0,4,4: 87:[81, 87] Operation: 4+83=87
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 87:[4, 2], Operations: ['13+68=81', '83-81=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,87 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 87:[83, 85], Operations: ['13+68=81', '4+81=85']
Exploring Operation: 83+85=168, Resulting Numbers: [168]
168,87 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 83*85=7055, Resulting Numbers: [7055]
7055,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 87:[81, 87], Operations: ['13+68=81', '4+83=87']
Exploring Operation: 87-81=6, Resulting Numbers: [6]
6,87 unequal: No Solution
Exploring Operation: 81+87=168, Resulting Numbers: [168]
168,87 unequal: No Solution
Exploring Operation: 81*87=7047, Resulting Numbers: [7047]
7047,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 87:[81, 79], Operations: ['13+68=81', '83-4=79']
Exploring Operation: 81+79=160, Resulting Numbers: [160]
160,87 unequal: No Solution
Exploring Operation: 81-79=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 81*79=6399, Resulting Numbers: [6399]
6399,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 87:[83, 77], Operations: ['13+68=81', '81-4=77']
Exploring Operation: 83-77=6, Resulting Numbers: [6]
6,87 unequal: No Solution
Exploring Operation: 83*77=6391, Resulting Numbers: [6391]
6391,87 unequal: No Solution
Exploring Operation: 83+77=160, Resulting Numbers: [160]
160,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[4, 13, 15], Operations: ['83-68=15']
Exploring Operation: 15-4=11, Resulting Numbers: [13, 11]
Generated Node #0,1,0: 87:[13, 11] Operation: 15-4=11
Exploring Operation: 4+15=19, Resulting Numbers: [13, 19]
Generated Node #0,1,1: 87:[13, 19] Operation: 4+15=19
Exploring Operation: 13+15=28, Resulting Numbers: [4, 28]
Generated Node #0,1,2: 87:[4, 28] Operation: 13+15=28
Exploring Operation: 13-4=9, Resulting Numbers: [15, 9]
Generated Node #0,1,3: 87:[15, 9] Operation: 13-4=9
Exploring Operation: 15-13=2, Resulting Numbers: [4, 2]
Generated Node #0,1,4: 87:[4, 2] Operation: 15-13=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[4, 28], Operations: ['83-68=15', '13+15=28']
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,87 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,87 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 87:[4, 2], Operations: ['83-68=15', '15-13=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[13, 11], Operations: ['83-68=15', '15-4=11']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 13*11=143, Resulting Numbers: [143]
143,87 unequal: No Solution
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 87:[15, 9], Operations: ['83-68=15', '13-4=9']
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,87 unequal: No Solution
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[13, 19], Operations: ['83-68=15', '4+15=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 13*19=247, Resulting Numbers: [247]
247,87 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[83, 13, 17], Operations: ['68/4=17']
Exploring Operation: 13+17=30, Resulting Numbers: [83, 30]
Generated Node #0,2,0: 87:[83, 30] Operation: 13+17=30
Exploring Operation: 83+13=96, Resulting Numbers: [17, 96]
Generated Node #0,2,1: 87:[17, 96] Operation: 83+13=96
Exploring Operation: 17-13=4, Resulting Numbers: [83, 4]
Generated Node #0,2,2: 87:[83, 4] Operation: 17-13=4
Exploring Operation: 83-13=70, Resulting Numbers: [17, 70]
Generated Node #0,2,3: 87:[17, 70] Operation: 83-13=70
Exploring Operation: 83+17=100, Resulting Numbers: [13, 100]
Generated Node #0,2,4: 87:[13, 100] Operation: 83+17=100
Moving to Node #0,2,0
Current State: 87:[83, 30], Operations: ['68/4=17', '13+17=30']
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,87 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[83, 4], Operations: ['68/4=17', '17-13=4']
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,87 unequal: No Solution
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[4, 83, 13, 68], Operations: []
Exploring Operation: 68/4=17, Resulting Numbers: [83, 13, 17]
Generated Node #0,2: 87:[83, 13, 17] Operation: 68/4=17
Moving to Node #0,2
Current State: 87:[83, 13, 17], Operations: ['68/4=17']
Exploring Operation: 17-13=4, Resulting Numbers: [83, 4]
Generated Node #0,2,2: 87:[83, 4] Operation: 17-13=4
Moving to Node #0,2,2
Current State: 87:[83, 4], Operations: ['68/4=17', '17-13=4']
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313
|
hs_5
|
mult_heuristic
|
[
81,
25,
17,
18
] | 36
|
[
"25-17=8",
"81*8=648",
"648/18=36"
] |
Current State: 36:[81, 25, 17, 18], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [81, 18, 8]
Generated Node #2: [81, 18, 8] from Operation: 25-17=8
Current State: 36:[81, 18, 8], Operations: ['25-17=8']
Exploring Operation: 81*8=648, Resulting Numbers: [18, 648]
Generated Node #3: [18, 648] from Operation: 81*8=648
Current State: 36:[18, 648], Operations: ['25-17=8', '81*8=648']
Exploring Operation: 648/18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[81, 25, 17, 18], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [25, 17, 63]
Generated Node #0,0: 36:[25, 17, 63] Operation: 81-18=63
Exploring Operation: 25-17=8, Resulting Numbers: [81, 18, 8]
Generated Node #0,1: 36:[81, 18, 8] Operation: 25-17=8
Exploring Operation: 25-18=7, Resulting Numbers: [81, 17, 7]
Generated Node #0,2: 36:[81, 17, 7] Operation: 25-18=7
Exploring Operation: 81-17=64, Resulting Numbers: [25, 18, 64]
Generated Node #0,3: 36:[25, 18, 64] Operation: 81-17=64
Exploring Operation: 81-25=56, Resulting Numbers: [17, 18, 56]
Generated Node #0,4: 36:[17, 18, 56] Operation: 81-25=56
Start Sub Search at level 1: Moving to Node #0,4
Current State: 36:[17, 18, 56], Operations: ['81-25=56']
Exploring Operation: 56-18=38, Resulting Numbers: [17, 38]
Generated Node #0,4,0: 36:[17, 38] Operation: 56-18=38
Exploring Operation: 17+56=73, Resulting Numbers: [18, 73]
Generated Node #0,4,1: 36:[18, 73] Operation: 17+56=73
Exploring Operation: 56-17=39, Resulting Numbers: [18, 39]
Generated Node #0,4,2: 36:[18, 39] Operation: 56-17=39
Exploring Operation: 17+18=35, Resulting Numbers: [56, 35]
Generated Node #0,4,3: 36:[56, 35] Operation: 17+18=35
Exploring Operation: 18-17=1, Resulting Numbers: [56, 1]
Generated Node #0,4,4: 36:[56, 1] Operation: 18-17=1
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 36:[17, 38], Operations: ['81-25=56', '56-18=38']
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 36:[18, 39], Operations: ['81-25=56', '56-17=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 36:[56, 35], Operations: ['81-25=56', '17+18=35']
Exploring Operation: 56*35=1960, Resulting Numbers: [1960]
1960,36 unequal: No Solution
Exploring Operation: 56+35=91, Resulting Numbers: [91]
91,36 unequal: No Solution
Exploring Operation: 56-35=21, Resulting Numbers: [21]
21,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 36:[56, 1], Operations: ['81-25=56', '18-17=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 36:[18, 73], Operations: ['81-25=56', '17+56=73']
Exploring Operation: 18*73=1314, Resulting Numbers: [1314]
1314,36 unequal: No Solution
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[25, 17, 63], Operations: ['81-18=63']
Exploring Operation: 25-17=8, Resulting Numbers: [63, 8]
Generated Node #0,0,0: 36:[63, 8] Operation: 25-17=8
Exploring Operation: 63-25=38, Resulting Numbers: [17, 38]
Generated Node #0,0,1: 36:[17, 38] Operation: 63-25=38
Exploring Operation: 63-17=46, Resulting Numbers: [25, 46]
Generated Node #0,0,2: 36:[25, 46] Operation: 63-17=46
Exploring Operation: 25+17=42, Resulting Numbers: [63, 42]
Generated Node #0,0,3: 36:[63, 42] Operation: 25+17=42
Exploring Operation: 17+63=80, Resulting Numbers: [25, 80]
Generated Node #0,0,4: 36:[25, 80] Operation: 17+63=80
Moving to Node #0,0,1
Current State: 36:[17, 38], Operations: ['81-18=63', '63-25=38']
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,36 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[25, 46], Operations: ['81-18=63', '63-17=46']
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,36 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[63, 8], Operations: ['81-18=63', '25-17=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[63, 42], Operations: ['81-18=63', '25+17=42']
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 63*42=2646, Resulting Numbers: [2646]
2646,36 unequal: No Solution
Exploring Operation: 63+42=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Moving to Node #0,0,4
Current State: 36:[25, 80], Operations: ['81-18=63', '17+63=80']
Exploring Operation: 25*80=2000, Resulting Numbers: [2000]
2000,36 unequal: No Solution
Exploring Operation: 25+80=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[25, 18, 64], Operations: ['81-17=64']
Exploring Operation: 25-18=7, Resulting Numbers: [64, 7]
Generated Node #0,3,0: 36:[64, 7] Operation: 25-18=7
Exploring Operation: 64-18=46, Resulting Numbers: [25, 46]
Generated Node #0,3,1: 36:[25, 46] Operation: 64-18=46
Exploring Operation: 25+18=43, Resulting Numbers: [64, 43]
Generated Node #0,3,2: 36:[64, 43] Operation: 25+18=43
Exploring Operation: 64-25=39, Resulting Numbers: [18, 39]
Generated Node #0,3,3: 36:[18, 39] Operation: 64-25=39
Exploring Operation: 25+64=89, Resulting Numbers: [18, 89]
Generated Node #0,3,4: 36:[18, 89] Operation: 25+64=89
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 36:[18, 39], Operations: ['81-17=64', '64-25=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,36 unequal: No Solution
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 36:[25, 46], Operations: ['81-17=64', '64-18=46']
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,36 unequal: No Solution
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 36:[64, 7], Operations: ['81-17=64', '25-18=7']
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,36 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 36:[64, 43], Operations: ['81-17=64', '25+18=43']
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 64+43=107, Resulting Numbers: [107]
107,36 unequal: No Solution
Exploring Operation: 64*43=2752, Resulting Numbers: [2752]
2752,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 36:[18, 89], Operations: ['81-17=64', '25+64=89']
Exploring Operation: 18+89=107, Resulting Numbers: [107]
107,36 unequal: No Solution
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 18*89=1602, Resulting Numbers: [1602]
1602,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[81, 18, 8], Operations: ['25-17=8']
Exploring Operation: 18+8=26, Resulting Numbers: [81, 26]
Generated Node #0,1,0: 36:[81, 26] Operation: 18+8=26
Exploring Operation: 81-18=63, Resulting Numbers: [8, 63]
Generated Node #0,1,1: 36:[8, 63] Operation: 81-18=63
Exploring Operation: 18-8=10, Resulting Numbers: [81, 10]
Generated Node #0,1,2: 36:[81, 10] Operation: 18-8=10
Exploring Operation: 81+8=89, Resulting Numbers: [18, 89]
Generated Node #0,1,3: 36:[18, 89] Operation: 81+8=89
Exploring Operation: 81-8=73, Resulting Numbers: [18, 73]
Generated Node #0,1,4: 36:[18, 73] Operation: 81-8=73
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[8, 63], Operations: ['25-17=8', '81-18=63']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 8+63=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 8*63=504, Resulting Numbers: [504]
504,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 36:[18, 73], Operations: ['25-17=8', '81-8=73']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,36 unequal: No Solution
Exploring Operation: 18*73=1314, Resulting Numbers: [1314]
1314,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 36:[81, 10], Operations: ['25-17=8', '18-8=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,36 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[81, 26], Operations: ['25-17=8', '18+8=26']
Exploring Operation: 81+26=107, Resulting Numbers: [107]
107,36 unequal: No Solution
Exploring Operation: 81*26=2106, Resulting Numbers: [2106]
2106,36 unequal: No Solution
Exploring Operation: 81-26=55, Resulting Numbers: [55]
55,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 36:[18, 89], Operations: ['25-17=8', '81+8=89']
Exploring Operation: 18+89=107, Resulting Numbers: [107]
107,36 unequal: No Solution
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 18*89=1602, Resulting Numbers: [1602]
1602,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[81, 17, 7], Operations: ['25-18=7']
Exploring Operation: 81+7=88, Resulting Numbers: [17, 88]
Generated Node #0,2,0: 36:[17, 88] Operation: 81+7=88
Exploring Operation: 81-7=74, Resulting Numbers: [17, 74]
Generated Node #0,2,1: 36:[17, 74] Operation: 81-7=74
Exploring Operation: 17-7=10, Resulting Numbers: [81, 10]
Generated Node #0,2,2: 36:[81, 10] Operation: 17-7=10
Exploring Operation: 81-17=64, Resulting Numbers: [7, 64]
Generated Node #0,2,3: 36:[7, 64] Operation: 81-17=64
Exploring Operation: 17+7=24, Resulting Numbers: [81, 24]
Generated Node #0,2,4: 36:[81, 24] Operation: 17+7=24
Moving to Node #0,2,3
Current State: 36:[7, 64], Operations: ['25-18=7', '81-17=64']
Exploring Operation: 7*64=448, Resulting Numbers: [448]
448,36 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 7+64=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[17, 74], Operations: ['25-18=7', '81-7=74']
Exploring Operation: 17*74=1258, Resulting Numbers: [1258]
1258,36 unequal: No Solution
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,36 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[81, 10], Operations: ['25-18=7', '17-7=10']
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,36 unequal: No Solution
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,36 unequal: No Solution
Moving to Node #0,2,4
Current State: 36:[81, 24], Operations: ['25-18=7', '17+7=24']
Exploring Operation: 81*24=1944, Resulting Numbers: [1944]
1944,36 unequal: No Solution
Exploring Operation: 81-24=57, Resulting Numbers: [57]
57,36 unequal: No Solution
Exploring Operation: 81+24=105, Resulting Numbers: [105]
105,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[17, 88], Operations: ['25-18=7', '81+7=88']
Exploring Operation: 17*88=1496, Resulting Numbers: [1496]
1496,36 unequal: No Solution
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 17+88=105, Resulting Numbers: [105]
105,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
2,
5,
41,
75
] | 58
|
[
"2+41=43",
"75/5=15",
"43+15=58"
] |
Current State: 58:[2, 5, 41, 75], Operations: []
Exploring Operation: 2+41=43, Resulting Numbers: [5, 75, 43]
Generated Node #2: [5, 75, 43] from Operation: 2+41=43
Current State: 58:[5, 75, 43], Operations: ['2+41=43']
Exploring Operation: 75/5=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 75/5=15
Current State: 58:[43, 15], Operations: ['2+41=43', '75/5=15']
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[2, 5, 41, 75], Operations: []
Exploring Operation: 41-5=36, Resulting Numbers: [2, 75, 36]
Generated Node #0,0: 58:[2, 75, 36] Operation: 41-5=36
Exploring Operation: 75-41=34, Resulting Numbers: [2, 5, 34]
Generated Node #0,1: 58:[2, 5, 34] Operation: 75-41=34
Moving to Node #0,1
Current State: 58:[2, 5, 34], Operations: ['75-41=34']
Exploring Operation: 34-5=29, Resulting Numbers: [2, 29]
Generated Node #0,1,0: 58:[2, 29] Operation: 34-5=29
Exploring Operation: 5-2=3, Resulting Numbers: [34, 3]
Generated Node #0,1,1: 58:[34, 3] Operation: 5-2=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[2, 29], Operations: ['75-41=34', '34-5=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[2, 5, 41, 75], Operations: []
Exploring Operation: 75-41=34, Resulting Numbers: [2, 5, 34]
Generated Node #0,1: 58:[2, 5, 34] Operation: 75-41=34
Moving to Node #0,1
Current State: 58:[2, 5, 34], Operations: ['75-41=34']
Exploring Operation: 34-5=29, Resulting Numbers: [2, 29]
Generated Node #0,1,0: 58:[2, 29] Operation: 34-5=29
Moving to Node #0,1,0
Current State: 58:[2, 29], Operations: ['75-41=34', '34-5=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
60,
30,
4,
92
] | 67
|
[
"60+30=90",
"92/4=23",
"90-23=67"
] |
Current State: 67:[60, 30, 4, 92], Operations: []
Exploring Operation: 60+30=90, Resulting Numbers: [4, 92, 90]
Generated Node #2: [4, 92, 90] from Operation: 60+30=90
Current State: 67:[4, 92, 90], Operations: ['60+30=90']
Exploring Operation: 92/4=23, Resulting Numbers: [90, 23]
Generated Node #3: [90, 23] from Operation: 92/4=23
Current State: 67:[90, 23], Operations: ['60+30=90', '92/4=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[60, 30, 4, 92], Operations: []
Exploring Operation: 60-4=56, Resulting Numbers: [30, 92, 56]
Generated Node #0,0: 67:[30, 92, 56] Operation: 60-4=56
Exploring Operation: 30+4=34, Resulting Numbers: [60, 92, 34]
Generated Node #0,1: 67:[60, 92, 34] Operation: 30+4=34
Exploring Operation: 92-4=88, Resulting Numbers: [60, 30, 88]
Generated Node #0,2: 67:[60, 30, 88] Operation: 92-4=88
Exploring Operation: 60+4=64, Resulting Numbers: [30, 92, 64]
Generated Node #0,3: 67:[30, 92, 64] Operation: 60+4=64
Moving to Node #0,1
Current State: 67:[60, 92, 34], Operations: ['30+4=34']
Exploring Operation: 92-34=58, Resulting Numbers: [60, 58]
Generated Node #0,1,0: 67:[60, 58] Operation: 92-34=58
Exploring Operation: 60+34=94, Resulting Numbers: [92, 94]
Generated Node #0,1,1: 67:[92, 94] Operation: 60+34=94
Exploring Operation: 92+34=126, Resulting Numbers: [60, 126]
Generated Node #0,1,2: 67:[60, 126] Operation: 92+34=126
Exploring Operation: 60-34=26, Resulting Numbers: [92, 26]
Generated Node #0,1,3: 67:[92, 26] Operation: 60-34=26
Moving to Node #0,3
Current State: 67:[30, 92, 64], Operations: ['60+4=64']
Exploring Operation: 64-30=34, Resulting Numbers: [92, 34]
Generated Node #0,3,0: 67:[92, 34] Operation: 64-30=34
Exploring Operation: 30+64=94, Resulting Numbers: [92, 94]
Generated Node #0,3,1: 67:[92, 94] Operation: 30+64=94
Exploring Operation: 92-30=62, Resulting Numbers: [64, 62]
Generated Node #0,3,2: 67:[64, 62] Operation: 92-30=62
Exploring Operation: 30+92=122, Resulting Numbers: [64, 122]
Generated Node #0,3,3: 67:[64, 122] Operation: 30+92=122
Moving to Node #0,2
Current State: 67:[60, 30, 88], Operations: ['92-4=88']
Exploring Operation: 60-30=30, Resulting Numbers: [88, 30]
Generated Node #0,2,0: 67:[88, 30] Operation: 60-30=30
Exploring Operation: 60+30=90, Resulting Numbers: [88, 90]
Generated Node #0,2,1: 67:[88, 90] Operation: 60+30=90
Exploring Operation: 88-30=58, Resulting Numbers: [60, 58]
Generated Node #0,2,2: 67:[60, 58] Operation: 88-30=58
Exploring Operation: 30+88=118, Resulting Numbers: [60, 118]
Generated Node #0,2,3: 67:[60, 118] Operation: 30+88=118
Moving to Node #0,0
Current State: 67:[30, 92, 56], Operations: ['60-4=56']
Exploring Operation: 92-30=62, Resulting Numbers: [56, 62]
Generated Node #0,0,0: 67:[56, 62] Operation: 92-30=62
Exploring Operation: 30+92=122, Resulting Numbers: [56, 122]
Generated Node #0,0,1: 67:[56, 122] Operation: 30+92=122
Exploring Operation: 56-30=26, Resulting Numbers: [92, 26]
Generated Node #0,0,2: 67:[92, 26] Operation: 56-30=26
Exploring Operation: 30+56=86, Resulting Numbers: [92, 86]
Generated Node #0,0,3: 67:[92, 86] Operation: 30+56=86
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[56, 62], Operations: ['60-4=56', '92-30=62']
Exploring Operation: 56*62=3472, Resulting Numbers: [3472]
3472,67 unequal: No Solution
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,67 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 #0,0,3
Current State: 67:[92, 86], Operations: ['60-4=56', '30+56=86']
Exploring Operation: 92+86=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 92*86=7912, Resulting Numbers: [7912]
7912,67 unequal: No Solution
Exploring Operation: 92-86=6, Resulting Numbers: [6]
6,67 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:[56, 122], Operations: ['60-4=56', '30+92=122']
Exploring Operation: 56+122=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 122-56=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 56*122=6832, Resulting Numbers: [6832]
6832,67 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 #0,0,2
Current State: 67:[92, 26], Operations: ['60-4=56', '56-30=26']
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 92*26=2392, Resulting Numbers: [2392]
2392,67 unequal: No Solution
Exploring Operation: 92+26=118, Resulting Numbers: [118]
118,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 67:[64, 62], Operations: ['60+4=64', '92-30=62']
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,67 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[60, 58], Operations: ['30+4=34', '92-34=58']
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 60+58=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Exploring Operation: 60*58=3480, Resulting Numbers: [3480]
3480,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[60, 58], Operations: ['92-4=88', '88-30=58']
Exploring Operation: 60*58=3480, Resulting Numbers: [3480]
3480,67 unequal: No Solution
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 60+58=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[88, 90], Operations: ['92-4=88', '60+30=90']
Exploring Operation: 88+90=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 90-88=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 88*90=7920, Resulting Numbers: [7920]
7920,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[92, 94], Operations: ['60+4=64', '30+64=94']
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,67 unequal: No Solution
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,67 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[92, 94], Operations: ['30+4=34', '60+34=94']
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,67 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[92, 34], Operations: ['60+4=64', '64-30=34']
Exploring Operation: 92+34=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 92*34=3128, Resulting Numbers: [3128]
3128,67 unequal: No Solution
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[60, 118], Operations: ['92-4=88', '30+88=118']
Exploring Operation: 60+118=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 118-60=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Exploring Operation: 60*118=7080, Resulting Numbers: [7080]
7080,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[88, 30], Operations: ['92-4=88', '60-30=30']
Exploring Operation: 88*30=2640, Resulting Numbers: [2640]
2640,67 unequal: No Solution
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Exploring Operation: 88+30=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[64, 122], Operations: ['60+4=64', '30+92=122']
Exploring Operation: 64+122=186, Resulting Numbers: [186]
186,67 unequal: No Solution
Exploring Operation: 64*122=7808, Resulting Numbers: [7808]
7808,67 unequal: No Solution
Exploring Operation: 122-64=58, Resulting Numbers: [58]
58,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[92, 26], Operations: ['30+4=34', '60-34=26']
Exploring Operation: 92+26=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Exploring Operation: 92-26=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 92*26=2392, Resulting Numbers: [2392]
2392,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[60, 126], Operations: ['30+4=34', '92+34=126']
Exploring Operation: 126-60=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 60+126=186, Resulting Numbers: [186]
186,67 unequal: No Solution
Exploring Operation: 60*126=7560, Resulting Numbers: [7560]
7560,67 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
35,
89,
27,
4
] | 93
|
[
"35+89=124",
"27+4=31",
"124-31=93"
] |
Current State: 93:[35, 89, 27, 4], Operations: []
Exploring Operation: 35+89=124, Resulting Numbers: [27, 4, 124]
Generated Node #2: [27, 4, 124] from Operation: 35+89=124
Current State: 93:[27, 4, 124], Operations: ['35+89=124']
Exploring Operation: 27+4=31, Resulting Numbers: [124, 31]
Generated Node #3: [124, 31] from Operation: 27+4=31
Current State: 93:[124, 31], Operations: ['35+89=124', '27+4=31']
Exploring Operation: 124-31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
Current State: 93:[35, 89, 27, 4], Operations: []
Exploring Operation: 89+4=93, Resulting Numbers: [35, 27, 93]
Generated Node #0,0: 93:[35, 27, 93] Operation: 89+4=93
Exploring Operation: 27+4=31, Resulting Numbers: [35, 89, 31]
Generated Node #0,1: 93:[35, 89, 31] Operation: 27+4=31
Exploring Operation: 35-4=31, Resulting Numbers: [89, 27, 31]
Generated Node #0,2: 93:[89, 27, 31] Operation: 35-4=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[35, 27, 93], Operations: ['89+4=93']
Exploring Operation: 93-35=58, Resulting Numbers: [27, 58]
Generated Node #0,0,0: 93:[27, 58] Operation: 93-35=58
Exploring Operation: 35-27=8, Resulting Numbers: [93, 8]
Generated Node #0,0,1: 93:[93, 8] Operation: 35-27=8
Exploring Operation: 35+27=62, Resulting Numbers: [93, 62]
Generated Node #0,0,2: 93:[93, 62] Operation: 35+27=62
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[93, 8], Operations: ['89+4=93', '35-27=8']
Exploring Operation: 93*8=744, Resulting Numbers: [744]
744,93 unequal: No Solution
Exploring Operation: 93-8=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 93+8=101, Resulting Numbers: [101]
101,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[27, 58], Operations: ['89+4=93', '93-35=58']
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Exploring Operation: 27*58=1566, Resulting Numbers: [1566]
1566,93 unequal: No Solution
Exploring Operation: 27+58=85, Resulting Numbers: [85]
85,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[93, 62], Operations: ['89+4=93', '35+27=62']
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Exploring Operation: 93+62=155, Resulting Numbers: [155]
155,93 unequal: No Solution
Exploring Operation: 93*62=5766, Resulting Numbers: [5766]
5766,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[35, 89, 31], Operations: ['27+4=31']
Exploring Operation: 35+89=124, Resulting Numbers: [31, 124]
Generated Node #0,1,0: 93:[31, 124] Operation: 35+89=124
Exploring Operation: 89-35=54, Resulting Numbers: [31, 54]
Generated Node #0,1,1: 93:[31, 54] Operation: 89-35=54
Exploring Operation: 35-31=4, Resulting Numbers: [89, 4]
Generated Node #0,1,2: 93:[89, 4] Operation: 35-31=4
Moving to Node #0,1,2
Current State: 93:[89, 4], Operations: ['27+4=31', '35-31=4']
Exploring Operation: 89*4=356, Resulting Numbers: [356]
356,93 unequal: No Solution
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[35, 89, 27, 4], Operations: []
Exploring Operation: 27+4=31, Resulting Numbers: [35, 89, 31]
Generated Node #0,1: 93:[35, 89, 31] Operation: 27+4=31
Moving to Node #0,1
Current State: 93:[35, 89, 31], Operations: ['27+4=31']
Exploring Operation: 35-31=4, Resulting Numbers: [89, 4]
Generated Node #0,1,2: 93:[89, 4] Operation: 35-31=4
Moving to Node #0,1,2
Current State: 93:[89, 4], Operations: ['27+4=31', '35-31=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167
|
hs_3
|
mult_heuristic
|
[
75,
51,
1,
82
] | 43
|
[
"75+51=126",
"1+82=83",
"126-83=43"
] |
Current State: 43:[75, 51, 1, 82], Operations: []
Exploring Operation: 75+51=126, Resulting Numbers: [1, 82, 126]
Generated Node #2: [1, 82, 126] from Operation: 75+51=126
Current State: 43:[1, 82, 126], Operations: ['75+51=126']
Exploring Operation: 1+82=83, Resulting Numbers: [126, 83]
Generated Node #3: [126, 83] from Operation: 1+82=83
Current State: 43:[126, 83], Operations: ['75+51=126', '1+82=83']
Exploring Operation: 126-83=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[75, 51, 1, 82], Operations: []
Exploring Operation: 75-1=74, Resulting Numbers: [51, 82, 74]
Generated Node #0,0: 43:[51, 82, 74] Operation: 75-1=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[51, 82, 74], Operations: ['75-1=74']
Exploring Operation: 82-51=31, Resulting Numbers: [74, 31]
Generated Node #0,0,0: 43:[74, 31] Operation: 82-51=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[74, 31], Operations: ['75-1=74', '82-51=31']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[75, 51, 1, 82], Operations: []
Exploring Operation: 75-1=74, Resulting Numbers: [51, 82, 74]
Generated Node #0,0: 43:[51, 82, 74] Operation: 75-1=74
Moving to Node #0,0
Current State: 43:[51, 82, 74], Operations: ['75-1=74']
Exploring Operation: 82-51=31, Resulting Numbers: [74, 31]
Generated Node #0,0,0: 43:[74, 31] Operation: 82-51=31
Moving to Node #0,0,0
Current State: 43:[74, 31], Operations: ['75-1=74', '82-51=31']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
88,
44,
16,
86
] | 52
|
[
"88-86=2",
"16/2=8",
"44+8=52"
] |
Current State: 52:[88, 44, 16, 86], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [44, 16, 2]
Generated Node #2: [44, 16, 2] from Operation: 88-86=2
Current State: 52:[44, 16, 2], Operations: ['88-86=2']
Exploring Operation: 16/2=8, Resulting Numbers: [44, 8]
Generated Node #3: [44, 8] from Operation: 16/2=8
Current State: 52:[44, 8], Operations: ['88-86=2', '16/2=8']
Exploring Operation: 44+8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
Current State: 52:[88, 44, 16, 86], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [44, 16, 2]
Generated Node #0,0: 52:[44, 16, 2] Operation: 88-86=2
Moving to Node #0,0
Current State: 52:[44, 16, 2], Operations: ['88-86=2']
Exploring Operation: 44-16=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 52:[2, 28] Operation: 44-16=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[2, 28], Operations: ['88-86=2', '44-16=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
91,
28,
23,
15
] | 16
|
[
"28-23=5",
"15*5=75",
"91-75=16"
] |
Current State: 16:[91, 28, 23, 15], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [91, 15, 5]
Generated Node #2: [91, 15, 5] from Operation: 28-23=5
Current State: 16:[91, 15, 5], Operations: ['28-23=5']
Exploring Operation: 15*5=75, Resulting Numbers: [91, 75]
Generated Node #3: [91, 75] from Operation: 15*5=75
Current State: 16:[91, 75], Operations: ['28-23=5', '15*5=75']
Exploring Operation: 91-75=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
Current State: 16:[91, 28, 23, 15], Operations: []
Exploring Operation: 91-23=68, Resulting Numbers: [28, 15, 68]
Generated Node #0,0: 16:[28, 15, 68] Operation: 91-23=68
Exploring Operation: 91-15=76, Resulting Numbers: [28, 23, 76]
Generated Node #0,1: 16:[28, 23, 76] Operation: 91-15=76
Exploring Operation: 28-23=5, Resulting Numbers: [91, 15, 5]
Generated Node #0,2: 16:[91, 15, 5] Operation: 28-23=5
Exploring Operation: 91-28=63, Resulting Numbers: [23, 15, 63]
Generated Node #0,3: 16:[23, 15, 63] Operation: 91-28=63
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[23, 15, 63], Operations: ['91-28=63']
Exploring Operation: 63-23=40, Resulting Numbers: [15, 40]
Generated Node #0,3,0: 16:[15, 40] Operation: 63-23=40
Exploring Operation: 63-15=48, Resulting Numbers: [23, 48]
Generated Node #0,3,1: 16:[23, 48] Operation: 63-15=48
Exploring Operation: 23+15=38, Resulting Numbers: [63, 38]
Generated Node #0,3,2: 16:[63, 38] Operation: 23+15=38
Exploring Operation: 23-15=8, Resulting Numbers: [63, 8]
Generated Node #0,3,3: 16:[63, 8] Operation: 23-15=8
Moving to Node #0,3,0
Current State: 16:[15, 40], Operations: ['91-28=63', '63-23=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,16 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[23, 48], Operations: ['91-28=63', '63-15=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 23*48=1104, Resulting Numbers: [1104]
1104,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[63, 8], Operations: ['91-28=63', '23-15=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[63, 38], Operations: ['91-28=63', '23+15=38']
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,16 unequal: No Solution
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[28, 15, 68], Operations: ['91-23=68']
Exploring Operation: 28-15=13, Resulting Numbers: [68, 13]
Generated Node #0,0,0: 16:[68, 13] Operation: 28-15=13
Exploring Operation: 68-28=40, Resulting Numbers: [15, 40]
Generated Node #0,0,1: 16:[15, 40] Operation: 68-28=40
Exploring Operation: 68-15=53, Resulting Numbers: [28, 53]
Generated Node #0,0,2: 16:[28, 53] Operation: 68-15=53
Exploring Operation: 28+15=43, Resulting Numbers: [68, 43]
Generated Node #0,0,3: 16:[68, 43] Operation: 28+15=43
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 16:[15, 40], Operations: ['91-23=68', '68-28=40']
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,16 unequal: No Solution
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,16 unequal: No Solution
No 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: 16:[28, 53], Operations: ['91-23=68', '68-15=53']
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,16 unequal: No Solution
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,16 unequal: No Solution
No 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: 16:[68, 13], Operations: ['91-23=68', '28-15=13']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,16 unequal: No Solution
Exploring Operation: 68+13=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 68*13=884, Resulting Numbers: [884]
884,16 unequal: No Solution
No 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: 16:[68, 43], Operations: ['91-23=68', '28+15=43']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 68*43=2924, Resulting Numbers: [2924]
2924,16 unequal: No Solution
Exploring Operation: 68+43=111, Resulting Numbers: [111]
111,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[91, 15, 5], Operations: ['28-23=5']
Exploring Operation: 91-5=86, Resulting Numbers: [15, 86]
Generated Node #0,2,0: 16:[15, 86] Operation: 91-5=86
Exploring Operation: 15-5=10, Resulting Numbers: [91, 10]
Generated Node #0,2,1: 16:[91, 10] Operation: 15-5=10
Exploring Operation: 91-15=76, Resulting Numbers: [5, 76]
Generated Node #0,2,2: 16:[5, 76] Operation: 91-15=76
Exploring Operation: 15/5=3, Resulting Numbers: [91, 3]
Generated Node #0,2,3: 16:[91, 3] Operation: 15/5=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 16:[5, 76], Operations: ['28-23=5', '91-15=76']
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 5*76=380, Resulting Numbers: [380]
380,16 unequal: No Solution
No 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: 16:[15, 86], Operations: ['28-23=5', '91-5=86']
Exploring Operation: 15*86=1290, Resulting Numbers: [1290]
1290,16 unequal: No Solution
Exploring Operation: 15+86=101, Resulting Numbers: [101]
101,16 unequal: No Solution
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,16 unequal: No Solution
No 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: 16:[91, 3], Operations: ['28-23=5', '15/5=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,16 unequal: No Solution
Exploring Operation: 91*3=273, Resulting Numbers: [273]
273,16 unequal: No Solution
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,16 unequal: No Solution
No 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: 16:[91, 10], Operations: ['28-23=5', '15-5=10']
Exploring Operation: 91+10=101, Resulting Numbers: [101]
101,16 unequal: No Solution
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 91*10=910, Resulting Numbers: [910]
910,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[28, 23, 76], Operations: ['91-15=76']
Exploring Operation: 76-28=48, Resulting Numbers: [23, 48]
Generated Node #0,1,0: 16:[23, 48] Operation: 76-28=48
Exploring Operation: 76-23=53, Resulting Numbers: [28, 53]
Generated Node #0,1,1: 16:[28, 53] Operation: 76-23=53
Exploring Operation: 28+23=51, Resulting Numbers: [76, 51]
Generated Node #0,1,2: 16:[76, 51] Operation: 28+23=51
Exploring Operation: 28-23=5, Resulting Numbers: [76, 5]
Generated Node #0,1,3: 16:[76, 5] Operation: 28-23=5
Moving to Node #0,1,0
Current State: 16:[23, 48], Operations: ['91-15=76', '76-28=48']
Exploring Operation: 23*48=1104, Resulting Numbers: [1104]
1104,16 unequal: No Solution
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[28, 53], Operations: ['91-15=76', '76-23=53']
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 28*53=1484, Resulting Numbers: [1484]
1484,16 unequal: No Solution
Exploring Operation: 28+53=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[76, 5], Operations: ['91-15=76', '28-23=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[76, 51], Operations: ['91-15=76', '28+23=51']
Exploring Operation: 76-51=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 76*51=3876, Resulting Numbers: [3876]
3876,16 unequal: No Solution
Exploring Operation: 76+51=127, Resulting Numbers: [127]
127,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
51,
30,
4,
49
] | 20
|
[
"51+49=100",
"30*4=120",
"120-100=20"
] |
Current State: 20:[51, 30, 4, 49], Operations: []
Exploring Operation: 51+49=100, Resulting Numbers: [30, 4, 100]
Generated Node #2: [30, 4, 100] from Operation: 51+49=100
Current State: 20:[30, 4, 100], Operations: ['51+49=100']
Exploring Operation: 30*4=120, Resulting Numbers: [100, 120]
Generated Node #3: [100, 120] from Operation: 30*4=120
Current State: 20:[100, 120], Operations: ['51+49=100', '30*4=120']
Exploring Operation: 120-100=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[51, 30, 4, 49], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [30, 4, 2]
Generated Node #0,0: 20:[30, 4, 2] Operation: 51-49=2
Moving to Node #0,0
Current State: 20:[30, 4, 2], Operations: ['51-49=2']
Exploring Operation: 30/2=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 20:[4, 15] Operation: 30/2=15
Moving to Node #0,0,0
Current State: 20:[4, 15], Operations: ['51-49=2', '30/2=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,20 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
6,
34,
66,
65
] | 42
|
[
"66/6=11",
"65-34=31",
"11+31=42"
] |
Current State: 42:[6, 34, 66, 65], Operations: []
Exploring Operation: 66/6=11, Resulting Numbers: [34, 65, 11]
Generated Node #2: [34, 65, 11] from Operation: 66/6=11
Current State: 42:[34, 65, 11], Operations: ['66/6=11']
Exploring Operation: 65-34=31, Resulting Numbers: [11, 31]
Generated Node #3: [11, 31] from Operation: 65-34=31
Current State: 42:[11, 31], Operations: ['66/6=11', '65-34=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
Current State: 42:[6, 34, 66, 65], Operations: []
Exploring Operation: 66-34=32, Resulting Numbers: [6, 65, 32]
Generated Node #0,0: 42:[6, 65, 32] Operation: 66-34=32
Exploring Operation: 66-65=1, Resulting Numbers: [6, 34, 1]
Generated Node #0,1: 42:[6, 34, 1] Operation: 66-65=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[6, 34, 1], Operations: ['66-65=1']
Exploring Operation: 34+1=35, Resulting Numbers: [6, 35]
Generated Node #0,1,0: 42:[6, 35] Operation: 34+1=35
Exploring Operation: 6+34=40, Resulting Numbers: [1, 40]
Generated Node #0,1,1: 42:[1, 40] Operation: 6+34=40
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[1, 40], Operations: ['66-65=1', '6+34=40']
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 1+40=41, Resulting Numbers: [41]
41,42 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 #0,1,0
Current State: 42:[6, 35], Operations: ['66-65=1', '34+1=35']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[6, 65, 32], Operations: ['66-34=32']
Exploring Operation: 65-32=33, Resulting Numbers: [6, 33]
Generated Node #0,0,0: 42:[6, 33] Operation: 65-32=33
Exploring Operation: 65-6=59, Resulting Numbers: [32, 59]
Generated Node #0,0,1: 42:[32, 59] Operation: 65-6=59
Moving to Node #0,0,0
Current State: 42:[6, 33], Operations: ['66-34=32', '65-32=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[32, 59], Operations: ['66-34=32', '65-6=59']
Exploring Operation: 32+59=91, Resulting Numbers: [91]
91,42 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,42 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
|
[
63,
36,
65,
56
] | 10
|
[
"65-63=2",
"56-36=20",
"20/2=10"
] |
Current State: 10:[63, 36, 65, 56], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [36, 56, 2]
Generated Node #2: [36, 56, 2] from Operation: 65-63=2
Current State: 10:[36, 56, 2], Operations: ['65-63=2']
Exploring Operation: 56-36=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 56-36=20
Current State: 10:[2, 20], Operations: ['65-63=2', '56-36=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[63, 36, 65, 56], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [36, 56, 2]
Generated Node #0,0: 10:[36, 56, 2] Operation: 65-63=2
Exploring Operation: 63-56=7, Resulting Numbers: [36, 65, 7]
Generated Node #0,1: 10:[36, 65, 7] Operation: 63-56=7
Exploring Operation: 65-56=9, Resulting Numbers: [63, 36, 9]
Generated Node #0,2: 10:[63, 36, 9] Operation: 65-56=9
Exploring Operation: 63-36=27, Resulting Numbers: [65, 56, 27]
Generated Node #0,3: 10:[65, 56, 27] Operation: 63-36=27
Moving to Node #0,0
Current State: 10:[36, 56, 2], Operations: ['65-63=2']
Exploring Operation: 36/2=18, Resulting Numbers: [56, 18]
Generated Node #0,0,0: 10:[56, 18] Operation: 36/2=18
Exploring Operation: 56-36=20, Resulting Numbers: [2, 20]
Generated Node #0,0,1: 10:[2, 20] Operation: 56-36=20
Exploring Operation: 36-2=34, Resulting Numbers: [56, 34]
Generated Node #0,0,2: 10:[56, 34] Operation: 36-2=34
Exploring Operation: 56/2=28, Resulting Numbers: [36, 28]
Generated Node #0,0,3: 10:[36, 28] Operation: 56/2=28
Moving to Node #0,2
Current State: 10:[63, 36, 9], Operations: ['65-56=9']
Exploring Operation: 63/9=7, Resulting Numbers: [36, 7]
Generated Node #0,2,0: 10:[36, 7] Operation: 63/9=7
Exploring Operation: 63-9=54, Resulting Numbers: [36, 54]
Generated Node #0,2,1: 10:[36, 54] Operation: 63-9=54
Exploring Operation: 63-36=27, Resulting Numbers: [9, 27]
Generated Node #0,2,2: 10:[9, 27] Operation: 63-36=27
Exploring Operation: 36/9=4, Resulting Numbers: [63, 4]
Generated Node #0,2,3: 10:[63, 4] Operation: 36/9=4
Moving to Node #0,1
Current State: 10:[36, 65, 7], Operations: ['63-56=7']
Exploring Operation: 65-7=58, Resulting Numbers: [36, 58]
Generated Node #0,1,0: 10:[36, 58] Operation: 65-7=58
Exploring Operation: 36+7=43, Resulting Numbers: [65, 43]
Generated Node #0,1,1: 10:[65, 43] Operation: 36+7=43
Exploring Operation: 65-36=29, Resulting Numbers: [7, 29]
Generated Node #0,1,2: 10:[7, 29] Operation: 65-36=29
Exploring Operation: 36-7=29, Resulting Numbers: [65, 29]
Generated Node #0,1,3: 10:[65, 29] Operation: 36-7=29
Moving to Node #0,3
Current State: 10:[65, 56, 27], Operations: ['63-36=27']
Exploring Operation: 65+56=121, Resulting Numbers: [27, 121]
Generated Node #0,3,0: 10:[27, 121] Operation: 65+56=121
Exploring Operation: 56-27=29, Resulting Numbers: [65, 29]
Generated Node #0,3,1: 10:[65, 29] Operation: 56-27=29
Exploring Operation: 65-56=9, Resulting Numbers: [27, 9]
Generated Node #0,3,2: 10:[27, 9] Operation: 65-56=9
Exploring Operation: 65-27=38, Resulting Numbers: [56, 38]
Generated Node #0,3,3: 10:[56, 38] Operation: 65-27=38
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 10:[27, 9], Operations: ['63-36=27', '65-56=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,10 unequal: No Solution
No 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: 10:[65, 29], Operations: ['63-36=27', '56-27=29']
Exploring Operation: 65*29=1885, Resulting Numbers: [1885]
1885,10 unequal: No Solution
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 65+29=94, Resulting Numbers: [94]
94,10 unequal: No Solution
No 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: 10:[56, 38], Operations: ['63-36=27', '65-27=38']
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,10 unequal: No Solution
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,10 unequal: No Solution
No 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: 10:[27, 121], Operations: ['63-36=27', '65+56=121']
Exploring Operation: 121-27=94, Resulting Numbers: [94]
94,10 unequal: No Solution
Exploring Operation: 27*121=3267, Resulting Numbers: [3267]
3267,10 unequal: No Solution
Exploring Operation: 27+121=148, Resulting Numbers: [148]
148,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 10:[2, 20], Operations: ['65-63=2', '56-36=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,10 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,10 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[63, 36, 65, 56], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [36, 56, 2]
Generated Node #0,0: 10:[36, 56, 2] Operation: 65-63=2
Moving to Node #0,0
Current State: 10:[36, 56, 2], Operations: ['65-63=2']
Exploring Operation: 56-36=20, Resulting Numbers: [2, 20]
Generated Node #0,0,1: 10:[2, 20] Operation: 56-36=20
Moving to Node #0,0,1
Current State: 10:[2, 20], Operations: ['65-63=2', '56-36=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.96441
|
hs_4
|
mult_heuristic
|
[
18,
58,
47,
16
] | 82
|
[
"18*47=846",
"58*16=928",
"928-846=82"
] |
Current State: 82:[18, 58, 47, 16], Operations: []
Exploring Operation: 18*47=846, Resulting Numbers: [58, 16, 846]
Generated Node #2: [58, 16, 846] from Operation: 18*47=846
Current State: 82:[58, 16, 846], Operations: ['18*47=846']
Exploring Operation: 58*16=928, Resulting Numbers: [846, 928]
Generated Node #3: [846, 928] from Operation: 58*16=928
Current State: 82:[846, 928], Operations: ['18*47=846', '58*16=928']
Exploring Operation: 928-846=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[18, 58, 47, 16], Operations: []
Exploring Operation: 18+16=34, Resulting Numbers: [58, 47, 34]
Generated Node #0,0: 82:[58, 47, 34] Operation: 18+16=34
Exploring Operation: 18+58=76, Resulting Numbers: [47, 16, 76]
Generated Node #0,1: 82:[47, 16, 76] Operation: 18+58=76
Exploring Operation: 58-16=42, Resulting Numbers: [18, 47, 42]
Generated Node #0,2: 82:[18, 47, 42] Operation: 58-16=42
Exploring Operation: 18-16=2, Resulting Numbers: [58, 47, 2]
Generated Node #0,3: 82:[58, 47, 2] Operation: 18-16=2
Exploring Operation: 58-18=40, Resulting Numbers: [47, 16, 40]
Generated Node #0,4: 82:[47, 16, 40] Operation: 58-18=40
Moving to Node #0,4
Current State: 82:[47, 16, 40], Operations: ['58-18=40']
Exploring Operation: 47-16=31, Resulting Numbers: [40, 31]
Generated Node #0,4,0: 82:[40, 31] Operation: 47-16=31
Exploring Operation: 47+16=63, Resulting Numbers: [40, 63]
Generated Node #0,4,1: 82:[40, 63] Operation: 47+16=63
Exploring Operation: 47+40=87, Resulting Numbers: [16, 87]
Generated Node #0,4,2: 82:[16, 87] Operation: 47+40=87
Exploring Operation: 16+40=56, Resulting Numbers: [47, 56]
Generated Node #0,4,3: 82:[47, 56] Operation: 16+40=56
Exploring Operation: 47-40=7, Resulting Numbers: [16, 7]
Generated Node #0,4,4: 82:[16, 7] Operation: 47-40=7
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 82:[40, 31], Operations: ['58-18=40', '47-16=31']
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 40+31=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 40*31=1240, Resulting Numbers: [1240]
1240,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[16, 87], Operations: ['58-18=40', '47+40=87']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 16+87=103, Resulting Numbers: [103]
103,82 unequal: No Solution
Exploring Operation: 16*87=1392, Resulting Numbers: [1392]
1392,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 82:[16, 7], Operations: ['58-18=40', '47-40=7']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,82 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 82:[40, 63], Operations: ['58-18=40', '47+16=63']
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 40*63=2520, Resulting Numbers: [2520]
2520,82 unequal: No Solution
Exploring Operation: 40+63=103, Resulting Numbers: [103]
103,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 82:[47, 56], Operations: ['58-18=40', '16+40=56']
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 47+56=103, Resulting Numbers: [103]
103,82 unequal: No Solution
Exploring Operation: 47*56=2632, Resulting Numbers: [2632]
2632,82 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: 82:[58, 47, 2], Operations: ['18-16=2']
Exploring Operation: 58-2=56, Resulting Numbers: [47, 56]
Generated Node #0,3,0: 82:[47, 56] Operation: 58-2=56
Exploring Operation: 58+47=105, Resulting Numbers: [2, 105]
Generated Node #0,3,1: 82:[2, 105] Operation: 58+47=105
Exploring Operation: 58-47=11, Resulting Numbers: [2, 11]
Generated Node #0,3,2: 82:[2, 11] Operation: 58-47=11
Exploring Operation: 47-2=45, Resulting Numbers: [58, 45]
Generated Node #0,3,3: 82:[58, 45] Operation: 47-2=45
Exploring Operation: 58/2=29, Resulting Numbers: [47, 29]
Generated Node #0,3,4: 82:[47, 29] Operation: 58/2=29
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 82:[2, 11], Operations: ['18-16=2', '58-47=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 82:[47, 29], Operations: ['18-16=2', '58/2=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,82 unequal: No Solution
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,82 unequal: No Solution
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[47, 56], Operations: ['18-16=2', '58-2=56']
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 47+56=103, Resulting Numbers: [103]
103,82 unequal: No Solution
Exploring Operation: 47*56=2632, Resulting Numbers: [2632]
2632,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 82:[58, 45], Operations: ['18-16=2', '47-2=45']
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 58*45=2610, Resulting Numbers: [2610]
2610,82 unequal: No Solution
Exploring Operation: 58+45=103, Resulting Numbers: [103]
103,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 82:[2, 105], Operations: ['18-16=2', '58+47=105']
Exploring Operation: 105-2=103, Resulting Numbers: [103]
103,82 unequal: No Solution
Exploring Operation: 2*105=210, Resulting Numbers: [210]
210,82 unequal: No Solution
Exploring Operation: 2+105=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 82:[18, 47, 42], Operations: ['58-16=42']
Exploring Operation: 47-42=5, Resulting Numbers: [18, 5]
Generated Node #0,2,0: 82:[18, 5] Operation: 47-42=5
Exploring Operation: 18+47=65, Resulting Numbers: [42, 65]
Generated Node #0,2,1: 82:[42, 65] Operation: 18+47=65
Exploring Operation: 47-18=29, Resulting Numbers: [42, 29]
Generated Node #0,2,2: 82:[42, 29] Operation: 47-18=29
Exploring Operation: 47+42=89, Resulting Numbers: [18, 89]
Generated Node #0,2,3: 82:[18, 89] Operation: 47+42=89
Exploring Operation: 42-18=24, Resulting Numbers: [47, 24]
Generated Node #0,2,4: 82:[47, 24] Operation: 42-18=24
Moving to Node #0,1
Current State: 82:[47, 16, 76], Operations: ['18+58=76']
Exploring Operation: 76-16=60, Resulting Numbers: [47, 60]
Generated Node #0,1,0: 82:[47, 60] Operation: 76-16=60
Exploring Operation: 16+76=92, Resulting Numbers: [47, 92]
Generated Node #0,1,1: 82:[47, 92] Operation: 16+76=92
Exploring Operation: 76-47=29, Resulting Numbers: [16, 29]
Generated Node #0,1,2: 82:[16, 29] Operation: 76-47=29
Exploring Operation: 47+16=63, Resulting Numbers: [76, 63]
Generated Node #0,1,3: 82:[76, 63] Operation: 47+16=63
Exploring Operation: 47-16=31, Resulting Numbers: [76, 31]
Generated Node #0,1,4: 82:[76, 31] Operation: 47-16=31
Moving to Node #0,0
Current State: 82:[58, 47, 34], Operations: ['18+16=34']
Exploring Operation: 47+34=81, Resulting Numbers: [58, 81]
Generated Node #0,0,0: 82:[58, 81] Operation: 47+34=81
Exploring Operation: 58-47=11, Resulting Numbers: [34, 11]
Generated Node #0,0,1: 82:[34, 11] Operation: 58-47=11
Exploring Operation: 47-34=13, Resulting Numbers: [58, 13]
Generated Node #0,0,2: 82:[58, 13] Operation: 47-34=13
Exploring Operation: 58-34=24, Resulting Numbers: [47, 24]
Generated Node #0,0,3: 82:[47, 24] Operation: 58-34=24
Exploring Operation: 58+34=92, Resulting Numbers: [47, 92]
Generated Node #0,0,4: 82:[47, 92] Operation: 58+34=92
Moving to Node #0,2,2
Current State: 82:[42, 29], Operations: ['58-16=42', '47-18=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[47, 92], Operations: ['18+58=76', '16+76=92']
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 47*92=4324, Resulting Numbers: [4324]
4324,82 unequal: No Solution
Exploring Operation: 47+92=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[76, 31], Operations: ['18+58=76', '47-16=31']
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,82 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Moving to Node #0,0,4
Current State: 82:[47, 92], Operations: ['18+16=34', '58+34=92']
Exploring Operation: 47*92=4324, Resulting Numbers: [4324]
4324,82 unequal: No Solution
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 47+92=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[34, 11], Operations: ['18+16=34', '58-47=11']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 34*11=374, Resulting Numbers: [374]
374,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[58, 81], Operations: ['18+16=34', '47+34=81']
Exploring Operation: 58*81=4698, Resulting Numbers: [4698]
4698,82 unequal: No Solution
Exploring Operation: 58+81=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[42, 65], Operations: ['58-16=42', '18+47=65']
Exploring Operation: 42*65=2730, Resulting Numbers: [2730]
2730,82 unequal: No Solution
Exploring Operation: 42+65=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[18, 5], Operations: ['58-16=42', '47-42=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,82 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[47, 24], Operations: ['18+16=34', '58-34=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 47*24=1128, Resulting Numbers: [1128]
1128,82 unequal: No Solution
Moving to Node #0,2,4
Current State: 82:[47, 24], Operations: ['58-16=42', '42-18=24']
Exploring Operation: 47*24=1128, Resulting Numbers: [1128]
1128,82 unequal: No Solution
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[18, 89], Operations: ['58-16=42', '47+42=89']
Exploring Operation: 18*89=1602, Resulting Numbers: [1602]
1602,82 unequal: No Solution
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 18+89=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[76, 63], Operations: ['18+58=76', '47+16=63']
Exploring Operation: 76*63=4788, Resulting Numbers: [4788]
4788,82 unequal: No Solution
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,82 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[47, 60], Operations: ['18+58=76', '76-16=60']
Exploring Operation: 47+60=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 47*60=2820, Resulting Numbers: [2820]
2820,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[16, 29], Operations: ['18+58=76', '76-47=29']
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[58, 13], Operations: ['18+16=34', '47-34=13']
Exploring Operation: 58*13=754, Resulting Numbers: [754]
754,82 unequal: No Solution
Exploring Operation: 58+13=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,82 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
45,
88,
45,
79
] | 77
|
[
"88-45=43",
"79-45=34",
"43+34=77"
] |
Current State: 77:[45, 88, 45, 79], Operations: []
Exploring Operation: 88-45=43, Resulting Numbers: [79, 43]
Generated Node #2: [79, 43] from Operation: 88-45=43
Current State: 77:[79, 43], Operations: ['88-45=43']
Exploring Operation: 79-45=34, Resulting Numbers: [43, 34]
Generated Node #3: [43, 34] from Operation: 79-45=34
Current State: 77:[43, 34], Operations: ['88-45=43', '79-45=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[45, 88, 45, 79], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [88, 79, 1]
Generated Node #0,0: 77:[88, 79, 1] Operation: 45/45=1
Exploring Operation: 88-45=43, Resulting Numbers: [45, 79, 43]
Generated Node #0,1: 77:[45, 79, 43] Operation: 88-45=43
Exploring Operation: 45+45=90, Resulting Numbers: [88, 79, 90]
Generated Node #0,2: 77:[88, 79, 90] Operation: 45+45=90
Exploring Operation: 45-45=0, Resulting Numbers: [88, 79, 0]
Generated Node #0,3: 77:[88, 79, 0] Operation: 45-45=0
Exploring Operation: 79-45=34, Resulting Numbers: [88, 45, 34]
Generated Node #0,4: 77:[88, 45, 34] Operation: 79-45=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[88, 79, 1], Operations: ['45/45=1']
Exploring Operation: 88/1=88, Resulting Numbers: [79, 88]
Generated Node #0,0,0: 77:[79, 88] Operation: 88/1=88
Exploring Operation: 79-1=78, Resulting Numbers: [88, 78]
Generated Node #0,0,1: 77:[88, 78] Operation: 79-1=78
Exploring Operation: 88-79=9, Resulting Numbers: [1, 9]
Generated Node #0,0,2: 77:[1, 9] Operation: 88-79=9
Exploring Operation: 88-1=87, Resulting Numbers: [79, 87]
Generated Node #0,0,3: 77:[79, 87] Operation: 88-1=87
Exploring Operation: 88*1=88, Resulting Numbers: [79, 88]
Generated Node #0,0,4: 77:[79, 88] Operation: 88*1=88
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 77:[1, 9], Operations: ['45/45=1', '88-79=9']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[88, 78], Operations: ['45/45=1', '79-1=78']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 88*78=6864, Resulting Numbers: [6864]
6864,77 unequal: No Solution
Exploring Operation: 88+78=166, Resulting Numbers: [166]
166,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 77:[79, 87], Operations: ['45/45=1', '88-1=87']
Exploring Operation: 79*87=6873, Resulting Numbers: [6873]
6873,77 unequal: No Solution
Exploring Operation: 87-79=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 79+87=166, Resulting Numbers: [166]
166,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[79, 88], Operations: ['45/45=1', '88/1=88']
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 79*88=6952, Resulting Numbers: [6952]
6952,77 unequal: No Solution
Exploring Operation: 79+88=167, Resulting Numbers: [167]
167,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 77:[79, 88], Operations: ['45/45=1', '88*1=88']
Exploring Operation: 79*88=6952, Resulting Numbers: [6952]
6952,77 unequal: No Solution
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 79+88=167, Resulting Numbers: [167]
167,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[88, 79, 0], Operations: ['45-45=0']
Exploring Operation: 79+0=79, Resulting Numbers: [88, 79]
Generated Node #0,3,0: 77:[88, 79] Operation: 79+0=79
Exploring Operation: 88-79=9, Resulting Numbers: [0, 9]
Generated Node #0,3,1: 77:[0, 9] Operation: 88-79=9
Exploring Operation: 88*0=0, Resulting Numbers: [79, 0]
Generated Node #0,3,2: 77:[79, 0] Operation: 88*0=0
Exploring Operation: 88-0=88, Resulting Numbers: [79, 88]
Generated Node #0,3,3: 77:[79, 88] Operation: 88-0=88
Exploring Operation: 88+0=88, Resulting Numbers: [79, 88]
Generated Node #0,3,4: 77:[79, 88] Operation: 88+0=88
Moving to Node #0,3,1
Current State: 77:[0, 9], Operations: ['45-45=0', '88-79=9']
Exploring Operation: 0*9=0, Resulting Numbers: [0]
0,77 unequal: No Solution
Exploring Operation: 0+9=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 9-0=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[79, 0], Operations: ['45-45=0', '88*0=0']
Exploring Operation: 79*0=0, Resulting Numbers: [0]
0,77 unequal: No Solution
Exploring Operation: 79-0=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Exploring Operation: 79+0=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[88, 79], Operations: ['45-45=0', '79+0=79']
Exploring Operation: 88+79=167, Resulting Numbers: [167]
167,77 unequal: No Solution
Exploring Operation: 88*79=6952, Resulting Numbers: [6952]
6952,77 unequal: No Solution
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[79, 88], Operations: ['45-45=0', '88-0=88']
Exploring Operation: 79+88=167, Resulting Numbers: [167]
167,77 unequal: No Solution
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 79*88=6952, Resulting Numbers: [6952]
6952,77 unequal: No Solution
Moving to Node #0,3,4
Current State: 77:[79, 88], Operations: ['45-45=0', '88+0=88']
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 79*88=6952, Resulting Numbers: [6952]
6952,77 unequal: No Solution
Exploring Operation: 79+88=167, Resulting Numbers: [167]
167,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[88, 79, 90], Operations: ['45+45=90']
Exploring Operation: 88-79=9, Resulting Numbers: [90, 9]
Generated Node #0,2,0: 77:[90, 9] Operation: 88-79=9
Exploring Operation: 90-79=11, Resulting Numbers: [88, 11]
Generated Node #0,2,1: 77:[88, 11] Operation: 90-79=11
Exploring Operation: 88+79=167, Resulting Numbers: [90, 167]
Generated Node #0,2,2: 77:[90, 167] Operation: 88+79=167
Exploring Operation: 88+90=178, Resulting Numbers: [79, 178]
Generated Node #0,2,3: 77:[79, 178] Operation: 88+90=178
Exploring Operation: 90-88=2, Resulting Numbers: [79, 2]
Generated Node #0,2,4: 77:[79, 2] Operation: 90-88=2
Moving to Node #0,2,4
Current State: 77:[79, 2], Operations: ['45+45=90', '90-88=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[45, 88, 45, 79], Operations: []
Exploring Operation: 45+45=90, Resulting Numbers: [88, 79, 90]
Generated Node #0,2: 77:[88, 79, 90] Operation: 45+45=90
Moving to Node #0,2
Current State: 77:[88, 79, 90], Operations: ['45+45=90']
Exploring Operation: 90-88=2, Resulting Numbers: [79, 2]
Generated Node #0,2,4: 77:[79, 2] Operation: 90-88=2
Moving to Node #0,2,4
Current State: 77:[79, 2], Operations: ['45+45=90', '90-88=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.951389
|
hs_5
|
sum_heuristic
|
[
2,
4,
28,
68
] | 36
|
[
"28-2=26",
"4*26=104",
"104-68=36"
] |
Current State: 36:[2, 4, 28, 68], Operations: []
Exploring Operation: 28-2=26, Resulting Numbers: [4, 68, 26]
Generated Node #2: [4, 68, 26] from Operation: 28-2=26
Current State: 36:[4, 68, 26], Operations: ['28-2=26']
Exploring Operation: 4*26=104, Resulting Numbers: [68, 104]
Generated Node #3: [68, 104] from Operation: 4*26=104
Current State: 36:[68, 104], Operations: ['28-2=26', '4*26=104']
Exploring Operation: 104-68=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[2, 4, 28, 68], Operations: []
Exploring Operation: 68-28=40, Resulting Numbers: [2, 4, 40]
Generated Node #0,0: 36:[2, 4, 40] Operation: 68-28=40
Moving to Node #0,0
Current State: 36:[2, 4, 40], Operations: ['68-28=40']
Exploring Operation: 40-4=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 36:[2, 36] Operation: 40-4=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[2, 36], Operations: ['68-28=40', '40-4=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,36 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
|
[
44,
90,
78,
21
] | 75
|
[
"44+21=65",
"90*65=5850",
"5850/78=75"
] |
Current State: 75:[44, 90, 78, 21], Operations: []
Exploring Operation: 44+21=65, Resulting Numbers: [90, 78, 65]
Generated Node #2: [90, 78, 65] from Operation: 44+21=65
Current State: 75:[90, 78, 65], Operations: ['44+21=65']
Exploring Operation: 90*65=5850, Resulting Numbers: [78, 5850]
Generated Node #3: [78, 5850] from Operation: 90*65=5850
Current State: 75:[78, 5850], Operations: ['44+21=65', '90*65=5850']
Exploring Operation: 5850/78=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[44, 90, 78, 21], Operations: []
Exploring Operation: 90-44=46, Resulting Numbers: [78, 21, 46]
Generated Node #0,0: 75:[78, 21, 46] Operation: 90-44=46
Exploring Operation: 78-44=34, Resulting Numbers: [90, 21, 34]
Generated Node #0,1: 75:[90, 21, 34] Operation: 78-44=34
Exploring Operation: 90-78=12, Resulting Numbers: [44, 21, 12]
Generated Node #0,2: 75:[44, 21, 12] Operation: 90-78=12
Exploring Operation: 44-21=23, Resulting Numbers: [90, 78, 23]
Generated Node #0,3: 75:[90, 78, 23] Operation: 44-21=23
Moving to Node #0,3
Current State: 75:[90, 78, 23], Operations: ['44-21=23']
Exploring Operation: 90-23=67, Resulting Numbers: [78, 67]
Generated Node #0,3,0: 75:[78, 67] Operation: 90-23=67
Exploring Operation: 78-23=55, Resulting Numbers: [90, 55]
Generated Node #0,3,1: 75:[90, 55] Operation: 78-23=55
Exploring Operation: 90-78=12, Resulting Numbers: [23, 12]
Generated Node #0,3,2: 75:[23, 12] Operation: 90-78=12
Exploring Operation: 90+23=113, Resulting Numbers: [78, 113]
Generated Node #0,3,3: 75:[78, 113] Operation: 90+23=113
Moving to Node #0,2
Current State: 75:[44, 21, 12], Operations: ['90-78=12']
Exploring Operation: 44+21=65, Resulting Numbers: [12, 65]
Generated Node #0,2,0: 75:[12, 65] Operation: 44+21=65
Exploring Operation: 44-12=32, Resulting Numbers: [21, 32]
Generated Node #0,2,1: 75:[21, 32] Operation: 44-12=32
Exploring Operation: 44+12=56, Resulting Numbers: [21, 56]
Generated Node #0,2,2: 75:[21, 56] Operation: 44+12=56
Exploring Operation: 44-21=23, Resulting Numbers: [12, 23]
Generated Node #0,2,3: 75:[12, 23] Operation: 44-21=23
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 75:[12, 23], Operations: ['90-78=12', '44-21=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,75 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[21, 32], Operations: ['90-78=12', '44-12=32']
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[12, 65], Operations: ['90-78=12', '44+21=65']
Exploring Operation: 12+65=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 12*65=780, Resulting Numbers: [780]
780,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[21, 56], Operations: ['90-78=12', '44+12=56']
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 21*56=1176, Resulting Numbers: [1176]
1176,75 unequal: No Solution
Exploring Operation: 21+56=77, Resulting Numbers: [77]
77,75 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: 75:[90, 21, 34], Operations: ['78-44=34']
Exploring Operation: 34-21=13, Resulting Numbers: [90, 13]
Generated Node #0,1,0: 75:[90, 13] Operation: 34-21=13
Exploring Operation: 90-21=69, Resulting Numbers: [34, 69]
Generated Node #0,1,1: 75:[34, 69] Operation: 90-21=69
Exploring Operation: 90-34=56, Resulting Numbers: [21, 56]
Generated Node #0,1,2: 75:[21, 56] Operation: 90-34=56
Exploring Operation: 21+34=55, Resulting Numbers: [90, 55]
Generated Node #0,1,3: 75:[90, 55] Operation: 21+34=55
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[34, 69], Operations: ['78-44=34', '90-21=69']
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 34*69=2346, Resulting Numbers: [2346]
2346,75 unequal: No Solution
Exploring Operation: 34+69=103, Resulting Numbers: [103]
103,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[90, 13], Operations: ['78-44=34', '34-21=13']
Exploring Operation: 90+13=103, Resulting Numbers: [103]
103,75 unequal: No Solution
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 90*13=1170, Resulting Numbers: [1170]
1170,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[21, 56], Operations: ['78-44=34', '90-34=56']
Exploring Operation: 21*56=1176, Resulting Numbers: [1176]
1176,75 unequal: No Solution
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 21+56=77, Resulting Numbers: [77]
77,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 75:[90, 55], Operations: ['78-44=34', '21+34=55']
Exploring Operation: 90*55=4950, Resulting Numbers: [4950]
4950,75 unequal: No Solution
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 90+55=145, Resulting Numbers: [145]
145,75 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: 75:[78, 21, 46], Operations: ['90-44=46']
Exploring Operation: 78-21=57, Resulting Numbers: [46, 57]
Generated Node #0,0,0: 75:[46, 57] Operation: 78-21=57
Exploring Operation: 46-21=25, Resulting Numbers: [78, 25]
Generated Node #0,0,1: 75:[78, 25] Operation: 46-21=25
Exploring Operation: 21+46=67, Resulting Numbers: [78, 67]
Generated Node #0,0,2: 75:[78, 67] Operation: 21+46=67
Exploring Operation: 78-46=32, Resulting Numbers: [21, 32]
Generated Node #0,0,3: 75:[21, 32] Operation: 78-46=32
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[78, 25], Operations: ['90-44=46', '46-21=25']
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 78*25=1950, Resulting Numbers: [1950]
1950,75 unequal: No Solution
Exploring Operation: 78+25=103, Resulting Numbers: [103]
103,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[78, 67], Operations: ['90-44=46', '21+46=67']
Exploring Operation: 78*67=5226, Resulting Numbers: [5226]
5226,75 unequal: No Solution
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 78+67=145, Resulting Numbers: [145]
145,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 75:[21, 32], Operations: ['90-44=46', '78-46=32']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,75 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[46, 57], Operations: ['90-44=46', '78-21=57']
Exploring Operation: 46+57=103, Resulting Numbers: [103]
103,75 unequal: No Solution
Exploring Operation: 57-46=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 46*57=2622, Resulting Numbers: [2622]
2622,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 75:[23, 12], Operations: ['44-21=23', '90-78=12']
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,75 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[78, 67], Operations: ['44-21=23', '90-23=67']
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 78*67=5226, Resulting Numbers: [5226]
5226,75 unequal: No Solution
Exploring Operation: 78+67=145, Resulting Numbers: [145]
145,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[90, 55], Operations: ['44-21=23', '78-23=55']
Exploring Operation: 90+55=145, Resulting Numbers: [145]
145,75 unequal: No Solution
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 90*55=4950, Resulting Numbers: [4950]
4950,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[78, 113], Operations: ['44-21=23', '90+23=113']
Exploring Operation: 78*113=8814, Resulting Numbers: [8814]
8814,75 unequal: No Solution
Exploring Operation: 78+113=191, Resulting Numbers: [191]
191,75 unequal: No Solution
Exploring Operation: 113-78=35, Resulting Numbers: [35]
35,75 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
93,
93,
25,
48
] | 25
|
[
"93-93=0",
"48*0=0",
"25+0=25"
] |
Current State: 25:[93, 93, 25, 48], Operations: []
Exploring Operation: 93-93=0, Resulting Numbers: [25, 48, 0]
Generated Node #2: [25, 48, 0] from Operation: 93-93=0
Current State: 25:[25, 48, 0], Operations: ['93-93=0']
Exploring Operation: 48*0=0, Resulting Numbers: [25, 0]
Generated Node #3: [25, 0] from Operation: 48*0=0
Current State: 25:[25, 0], Operations: ['93-93=0', '48*0=0']
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[93, 93, 25, 48], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [25, 48, 1]
Generated Node #0,0: 25:[25, 48, 1] Operation: 93/93=1
Exploring Operation: 93-48=45, Resulting Numbers: [93, 25, 45]
Generated Node #0,1: 25:[93, 25, 45] Operation: 93-48=45
Exploring Operation: 93-93=0, Resulting Numbers: [25, 48, 0]
Generated Node #0,2: 25:[25, 48, 0] Operation: 93-93=0
Exploring Operation: 93-48=45, Resulting Numbers: [93, 25, 45]
Generated Node #0,3: 25:[93, 25, 45] Operation: 93-48=45
Moving to Node #0,0
Current State: 25:[25, 48, 1], Operations: ['93/93=1']
Exploring Operation: 25*1=25, Resulting Numbers: [48, 25]
Generated Node #0,0,0: 25:[48, 25] Operation: 25*1=25
Exploring Operation: 25/1=25, Resulting Numbers: [48, 25]
Generated Node #0,0,1: 25:[48, 25] Operation: 25/1=25
Exploring Operation: 48-1=47, Resulting Numbers: [25, 47]
Generated Node #0,0,2: 25:[25, 47] Operation: 48-1=47
Exploring Operation: 48-25=23, Resulting Numbers: [1, 23]
Generated Node #0,0,3: 25:[1, 23] Operation: 48-25=23
Moving to Node #0,2
Current State: 25:[25, 48, 0], Operations: ['93-93=0']
Exploring Operation: 48*0=0, Resulting Numbers: [25, 0]
Generated Node #0,2,0: 25:[25, 0] Operation: 48*0=0
Exploring Operation: 48-25=23, Resulting Numbers: [0, 23]
Generated Node #0,2,1: 25:[0, 23] Operation: 48-25=23
Exploring Operation: 25+0=25, Resulting Numbers: [48, 25]
Generated Node #0,2,2: 25:[48, 25] Operation: 25+0=25
Exploring Operation: 25-0=25, Resulting Numbers: [48, 25]
Generated Node #0,2,3: 25:[48, 25] Operation: 25-0=25
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[25, 0], Operations: ['93-93=0', '48*0=0']
Exploring Operation: 25*0=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[93, 93, 25, 48], Operations: []
Exploring Operation: 93-93=0, Resulting Numbers: [25, 48, 0]
Generated Node #0,2: 25:[25, 48, 0] Operation: 93-93=0
Moving to Node #0,2
Current State: 25:[25, 48, 0], Operations: ['93-93=0']
Exploring Operation: 48*0=0, Resulting Numbers: [25, 0]
Generated Node #0,2,0: 25:[25, 0] Operation: 48*0=0
Moving to Node #0,2,0
Current State: 25:[25, 0], Operations: ['93-93=0', '48*0=0']
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375
|
hs_4
|
sum_heuristic
|
[
18,
16,
8,
71
] | 97
|
[
"18+16=34",
"71-8=63",
"34+63=97"
] |
Current State: 97:[18, 16, 8, 71], Operations: []
Exploring Operation: 18+16=34, Resulting Numbers: [8, 71, 34]
Generated Node #2: [8, 71, 34] from Operation: 18+16=34
Current State: 97:[8, 71, 34], Operations: ['18+16=34']
Exploring Operation: 71-8=63, Resulting Numbers: [34, 63]
Generated Node #3: [34, 63] from Operation: 71-8=63
Current State: 97:[34, 63], Operations: ['18+16=34', '71-8=63']
Exploring Operation: 34+63=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
Current State: 97:[18, 16, 8, 71], Operations: []
Exploring Operation: 16*8=128, Resulting Numbers: [18, 71, 128]
Generated Node #0,0: 97:[18, 71, 128] Operation: 16*8=128
Exploring Operation: 18*8=144, Resulting Numbers: [16, 71, 144]
Generated Node #0,1: 97:[16, 71, 144] Operation: 18*8=144
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[18, 71, 128], Operations: ['16*8=128']
Exploring Operation: 18+71=89, Resulting Numbers: [128, 89]
Generated Node #0,0,0: 97:[128, 89] Operation: 18+71=89
Exploring Operation: 128-18=110, Resulting Numbers: [71, 110]
Generated Node #0,0,1: 97:[71, 110] Operation: 128-18=110
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[128, 89], Operations: ['16*8=128', '18+71=89']
Exploring Operation: 128-89=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Exploring Operation: 128+89=217, Resulting Numbers: [217]
217,97 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 #0,0,1
Current State: 97:[71, 110], Operations: ['16*8=128', '128-18=110']
Exploring Operation: 71+110=181, Resulting Numbers: [181]
181,97 unequal: No Solution
Exploring Operation: 110-71=39, Resulting Numbers: [39]
39,97 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 #0,1
Current State: 97:[16, 71, 144], Operations: ['18*8=144']
Exploring Operation: 16+71=87, Resulting Numbers: [144, 87]
Generated Node #0,1,0: 97:[144, 87] Operation: 16+71=87
Exploring Operation: 144-16=128, Resulting Numbers: [71, 128]
Generated Node #0,1,1: 97:[71, 128] Operation: 144-16=128
Moving to Node #0,1,0
Current State: 97:[144, 87], Operations: ['18*8=144', '16+71=87']
Exploring Operation: 144+87=231, Resulting Numbers: [231]
231,97 unequal: No Solution
Exploring Operation: 144-87=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[71, 128], Operations: ['18*8=144', '144-16=128']
Exploring Operation: 128-71=57, Resulting Numbers: [57]
57,97 unequal: No Solution
Exploring Operation: 71+128=199, Resulting Numbers: [199]
199,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
57,
30,
75,
92
] | 15
|
[
"57+30=87",
"92-87=5",
"75/5=15"
] |
Current State: 15:[57, 30, 75, 92], Operations: []
Exploring Operation: 57+30=87, Resulting Numbers: [75, 92, 87]
Generated Node #2: [75, 92, 87] from Operation: 57+30=87
Current State: 15:[75, 92, 87], Operations: ['57+30=87']
Exploring Operation: 92-87=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 92-87=5
Current State: 15:[75, 5], Operations: ['57+30=87', '92-87=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[57, 30, 75, 92], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [57, 30, 17]
Generated Node #0,0: 15:[57, 30, 17] Operation: 92-75=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[57, 30, 17], Operations: ['92-75=17']
Exploring Operation: 57-30=27, Resulting Numbers: [17, 27]
Generated Node #0,0,0: 15:[17, 27] Operation: 57-30=27
Moving to Node #0,0,0
Current State: 15:[17, 27], Operations: ['92-75=17', '57-30=27']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
43,
16,
18,
79
] | 38
|
[
"43+16=59",
"18+79=97",
"97-59=38"
] |
Current State: 38:[43, 16, 18, 79], Operations: []
Exploring Operation: 43+16=59, Resulting Numbers: [18, 79, 59]
Generated Node #2: [18, 79, 59] from Operation: 43+16=59
Current State: 38:[18, 79, 59], Operations: ['43+16=59']
Exploring Operation: 18+79=97, Resulting Numbers: [59, 97]
Generated Node #3: [59, 97] from Operation: 18+79=97
Current State: 38:[59, 97], Operations: ['43+16=59', '18+79=97']
Exploring Operation: 97-59=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
Current State: 38:[43, 16, 18, 79], Operations: []
Exploring Operation: 79-43=36, Resulting Numbers: [16, 18, 36]
Generated Node #0,0: 38:[16, 18, 36] Operation: 79-43=36
Exploring Operation: 79-16=63, Resulting Numbers: [43, 18, 63]
Generated Node #0,1: 38:[43, 18, 63] Operation: 79-16=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[16, 18, 36], Operations: ['79-43=36']
Exploring Operation: 36-16=20, Resulting Numbers: [18, 20]
Generated Node #0,0,0: 38:[18, 20] Operation: 36-16=20
Exploring Operation: 18-16=2, Resulting Numbers: [36, 2]
Generated Node #0,0,1: 38:[36, 2] Operation: 18-16=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[18, 20], Operations: ['79-43=36', '36-16=20']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[43, 16, 18, 79], Operations: []
Exploring Operation: 79-43=36, Resulting Numbers: [16, 18, 36]
Generated Node #0,0: 38:[16, 18, 36] Operation: 79-43=36
Moving to Node #0,0
Current State: 38:[16, 18, 36], Operations: ['79-43=36']
Exploring Operation: 36-16=20, Resulting Numbers: [18, 20]
Generated Node #0,0,0: 38:[18, 20] Operation: 36-16=20
Moving to Node #0,0,0
Current State: 38:[18, 20], Operations: ['79-43=36', '36-16=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
mult_heuristic
|
[
35,
31,
26,
13
] | 97
|
[
"31*26=806",
"806/13=62",
"35+62=97"
] |
Current State: 97:[35, 31, 26, 13], Operations: []
Exploring Operation: 31*26=806, Resulting Numbers: [35, 13, 806]
Generated Node #2: [35, 13, 806] from Operation: 31*26=806
Current State: 97:[35, 13, 806], Operations: ['31*26=806']
Exploring Operation: 806/13=62, Resulting Numbers: [35, 62]
Generated Node #3: [35, 62] from Operation: 806/13=62
Current State: 97:[35, 62], Operations: ['31*26=806', '806/13=62']
Exploring Operation: 35+62=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
Current State: 97:[35, 31, 26, 13], Operations: []
Exploring Operation: 31+26=57, Resulting Numbers: [35, 13, 57]
Generated Node #0,0: 97:[35, 13, 57] Operation: 31+26=57
Exploring Operation: 35+26=61, Resulting Numbers: [31, 13, 61]
Generated Node #0,1: 97:[31, 13, 61] Operation: 35+26=61
Exploring Operation: 35+13=48, Resulting Numbers: [31, 26, 48]
Generated Node #0,2: 97:[31, 26, 48] Operation: 35+13=48
Exploring Operation: 31+13=44, Resulting Numbers: [35, 26, 44]
Generated Node #0,3: 97:[35, 26, 44] Operation: 31+13=44
Exploring Operation: 35+31=66, Resulting Numbers: [26, 13, 66]
Generated Node #0,4: 97:[26, 13, 66] Operation: 35+31=66
Moving to Node #0,0
Current State: 97:[35, 13, 57], Operations: ['31+26=57']
Exploring Operation: 35+57=92, Resulting Numbers: [13, 92]
Generated Node #0,0,0: 97:[13, 92] Operation: 35+57=92
Exploring Operation: 57-13=44, Resulting Numbers: [35, 44]
Generated Node #0,0,1: 97:[35, 44] Operation: 57-13=44
Exploring Operation: 35-13=22, Resulting Numbers: [57, 22]
Generated Node #0,0,2: 97:[57, 22] Operation: 35-13=22
Exploring Operation: 35+13=48, Resulting Numbers: [57, 48]
Generated Node #0,0,3: 97:[57, 48] Operation: 35+13=48
Exploring Operation: 13+57=70, Resulting Numbers: [35, 70]
Generated Node #0,0,4: 97:[35, 70] Operation: 13+57=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[13, 92], Operations: ['31+26=57', '35+57=92']
Exploring Operation: 13+92=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 13*92=1196, Resulting Numbers: [1196]
1196,97 unequal: No Solution
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,97 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 #0,0,3
Current State: 97:[57, 48], Operations: ['31+26=57', '35+13=48']
Exploring Operation: 57*48=2736, Resulting Numbers: [2736]
2736,97 unequal: No Solution
Exploring Operation: 57+48=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,97 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 #0,0,4
Current State: 97:[35, 70], Operations: ['31+26=57', '13+57=70']
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,97 unequal: No Solution
Exploring Operation: 35+70=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 35*70=2450, Resulting Numbers: [2450]
2450,97 unequal: No Solution
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,97 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 #0,0,1
Current State: 97:[35, 44], Operations: ['31+26=57', '57-13=44']
Exploring Operation: 35*44=1540, Resulting Numbers: [1540]
1540,97 unequal: No Solution
Exploring Operation: 35+44=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,97 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 #0,0,2
Current State: 97:[57, 22], Operations: ['31+26=57', '35-13=22']
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,97 unequal: No Solution
Exploring Operation: 57*22=1254, Resulting Numbers: [1254]
1254,97 unequal: No Solution
Exploring Operation: 57+22=79, Resulting Numbers: [79]
79,97 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: 97:[31, 26, 48], Operations: ['35+13=48']
Exploring Operation: 31+26=57, Resulting Numbers: [48, 57]
Generated Node #0,2,0: 97:[48, 57] Operation: 31+26=57
Exploring Operation: 48-26=22, Resulting Numbers: [31, 22]
Generated Node #0,2,1: 97:[31, 22] Operation: 48-26=22
Exploring Operation: 31+48=79, Resulting Numbers: [26, 79]
Generated Node #0,2,2: 97:[26, 79] Operation: 31+48=79
Exploring Operation: 31-26=5, Resulting Numbers: [48, 5]
Generated Node #0,2,3: 97:[48, 5] Operation: 31-26=5
Exploring Operation: 26+48=74, Resulting Numbers: [31, 74]
Generated Node #0,2,4: 97:[31, 74] Operation: 26+48=74
Moving to Node #0,4
Current State: 97:[26, 13, 66], Operations: ['35+31=66']
Exploring Operation: 26+13=39, Resulting Numbers: [66, 39]
Generated Node #0,4,0: 97:[66, 39] Operation: 26+13=39
Exploring Operation: 66-13=53, Resulting Numbers: [26, 53]
Generated Node #0,4,1: 97:[26, 53] Operation: 66-13=53
Exploring Operation: 26+66=92, Resulting Numbers: [13, 92]
Generated Node #0,4,2: 97:[13, 92] Operation: 26+66=92
Exploring Operation: 13+66=79, Resulting Numbers: [26, 79]
Generated Node #0,4,3: 97:[26, 79] Operation: 13+66=79
Exploring Operation: 26-13=13, Resulting Numbers: [66, 13]
Generated Node #0,4,4: 97:[66, 13] Operation: 26-13=13
Moving to Node #0,1
Current State: 97:[31, 13, 61], Operations: ['35+26=61']
Exploring Operation: 31-13=18, Resulting Numbers: [61, 18]
Generated Node #0,1,0: 97:[61, 18] Operation: 31-13=18
Exploring Operation: 13+61=74, Resulting Numbers: [31, 74]
Generated Node #0,1,1: 97:[31, 74] Operation: 13+61=74
Exploring Operation: 31+61=92, Resulting Numbers: [13, 92]
Generated Node #0,1,2: 97:[13, 92] Operation: 31+61=92
Exploring Operation: 31+13=44, Resulting Numbers: [61, 44]
Generated Node #0,1,3: 97:[61, 44] Operation: 31+13=44
Exploring Operation: 61-13=48, Resulting Numbers: [31, 48]
Generated Node #0,1,4: 97:[31, 48] Operation: 61-13=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[31, 74], Operations: ['35+26=61', '13+61=74']
Exploring Operation: 31+74=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 31*74=2294, Resulting Numbers: [2294]
2294,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[13, 92], Operations: ['35+26=61', '31+61=92']
Exploring Operation: 13+92=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 13*92=1196, Resulting Numbers: [1196]
1196,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 97:[61, 44], Operations: ['35+26=61', '31+13=44']
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,97 unequal: No Solution
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,97 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 #0,1,0
Current State: 97:[61, 18], Operations: ['35+26=61', '31-13=18']
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,97 unequal: No Solution
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 97:[31, 48], Operations: ['35+26=61', '61-13=48']
Exploring Operation: 31*48=1488, Resulting Numbers: [1488]
1488,97 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 31+48=79, Resulting Numbers: [79]
79,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 97:[35, 26, 44], Operations: ['31+13=44']
Exploring Operation: 35+44=79, Resulting Numbers: [26, 79]
Generated Node #0,3,0: 97:[26, 79] Operation: 35+44=79
Exploring Operation: 26+44=70, Resulting Numbers: [35, 70]
Generated Node #0,3,1: 97:[35, 70] Operation: 26+44=70
Exploring Operation: 35+26=61, Resulting Numbers: [44, 61]
Generated Node #0,3,2: 97:[44, 61] Operation: 35+26=61
Exploring Operation: 35-26=9, Resulting Numbers: [44, 9]
Generated Node #0,3,3: 97:[44, 9] Operation: 35-26=9
Exploring Operation: 44-26=18, Resulting Numbers: [35, 18]
Generated Node #0,3,4: 97:[35, 18] Operation: 44-26=18
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[26, 79], Operations: ['31+13=44', '35+44=79']
Exploring Operation: 26*79=2054, Resulting Numbers: [2054]
2054,97 unequal: No Solution
Exploring Operation: 26+79=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[35, 70], Operations: ['31+13=44', '26+44=70']
Exploring Operation: 35+70=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 35*70=2450, Resulting Numbers: [2450]
2450,97 unequal: No Solution
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[44, 61], Operations: ['31+13=44', '35+26=61']
Exploring Operation: 44*61=2684, Resulting Numbers: [2684]
2684,97 unequal: No Solution
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 44+61=105, Resulting Numbers: [105]
105,97 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 #0,3,3
Current State: 97:[44, 9], Operations: ['31+13=44', '35-26=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,97 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 97:[35, 18], Operations: ['31+13=44', '44-26=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 35*18=630, Resulting Numbers: [630]
630,97 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 97:[48, 57], Operations: ['35+13=48', '31+26=57']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,97 unequal: No Solution
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Moving to Node #0,2,4
Current State: 97:[31, 74], Operations: ['35+13=48', '26+48=74']
Exploring Operation: 31+74=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 31*74=2294, Resulting Numbers: [2294]
2294,97 unequal: No Solution
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[13, 92], Operations: ['35+31=66', '26+66=92']
Exploring Operation: 92-13=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 13*92=1196, Resulting Numbers: [1196]
1196,97 unequal: No Solution
Exploring Operation: 13+92=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[66, 39], Operations: ['35+31=66', '26+13=39']
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 66+39=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 66*39=2574, Resulting Numbers: [2574]
2574,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[26, 79], Operations: ['35+13=48', '31+48=79']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 26+79=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 26*79=2054, Resulting Numbers: [2054]
2054,97 unequal: No Solution
Moving to Node #0,4,3
Current State: 97:[26, 79], Operations: ['35+31=66', '13+66=79']
Exploring Operation: 26+79=105, Resulting Numbers: [105]
105,97 unequal: No Solution
Exploring Operation: 26*79=2054, Resulting Numbers: [2054]
2054,97 unequal: No Solution
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Moving to Node #0,4,1
Current State: 97:[26, 53], Operations: ['35+31=66', '66-13=53']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,97 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[66, 13], Operations: ['35+31=66', '26-13=13']
Exploring Operation: 66*13=858, Resulting Numbers: [858]
858,97 unequal: No Solution
Exploring Operation: 66+13=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[48, 5], Operations: ['35+13=48', '31-26=5']
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,97 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[31, 22], Operations: ['35+13=48', '48-26=22']
Exploring Operation: 31*22=682, Resulting Numbers: [682]
682,97 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Exploring Operation: 31+22=53, Resulting Numbers: [53]
53,97 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
8,
80,
7,
5
] | 37
|
[
"80-8=72",
"7*5=35",
"72-35=37"
] |
Current State: 37:[8, 80, 7, 5], Operations: []
Exploring Operation: 80-8=72, Resulting Numbers: [7, 5, 72]
Generated Node #2: [7, 5, 72] from Operation: 80-8=72
Current State: 37:[7, 5, 72], Operations: ['80-8=72']
Exploring Operation: 7*5=35, Resulting Numbers: [72, 35]
Generated Node #3: [72, 35] from Operation: 7*5=35
Current State: 37:[72, 35], Operations: ['80-8=72', '7*5=35']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[8, 80, 7, 5], Operations: []
Exploring Operation: 8*5=40, Resulting Numbers: [80, 7, 40]
Generated Node #0,0: 37:[80, 7, 40] Operation: 8*5=40
Exploring Operation: 7*5=35, Resulting Numbers: [8, 80, 35]
Generated Node #0,1: 37:[8, 80, 35] Operation: 7*5=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[8, 80, 35], Operations: ['7*5=35']
Exploring Operation: 80/8=10, Resulting Numbers: [35, 10]
Generated Node #0,1,0: 37:[35, 10] Operation: 80/8=10
Exploring Operation: 80-8=72, Resulting Numbers: [35, 72]
Generated Node #0,1,1: 37:[35, 72] Operation: 80-8=72
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[35, 10], Operations: ['7*5=35', '80/8=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,37 unequal: No Solution
No 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: 37:[35, 72], Operations: ['7*5=35', '80-8=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[8, 80, 7, 5], Operations: []
Exploring Operation: 7*5=35, Resulting Numbers: [8, 80, 35]
Generated Node #0,1: 37:[8, 80, 35] Operation: 7*5=35
Moving to Node #0,1
Current State: 37:[8, 80, 35], Operations: ['7*5=35']
Exploring Operation: 80-8=72, Resulting Numbers: [35, 72]
Generated Node #0,1,1: 37:[35, 72] Operation: 80-8=72
Moving to Node #0,1,1
Current State: 37:[35, 72], Operations: ['7*5=35', '80-8=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
sum_heuristic
|
[
75,
65,
91,
5
] | 89
|
[
"75-65=10",
"10/5=2",
"91-2=89"
] |
Current State: 89:[75, 65, 91, 5], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [91, 5, 10]
Generated Node #2: [91, 5, 10] from Operation: 75-65=10
Current State: 89:[91, 5, 10], Operations: ['75-65=10']
Exploring Operation: 10/5=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 10/5=2
Current State: 89:[91, 2], Operations: ['75-65=10', '10/5=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[75, 65, 91, 5], Operations: []
Exploring Operation: 75+5=80, Resulting Numbers: [65, 91, 80]
Generated Node #0,0: 89:[65, 91, 80] Operation: 75+5=80
Exploring Operation: 91-5=86, Resulting Numbers: [75, 65, 86]
Generated Node #0,1: 89:[75, 65, 86] Operation: 91-5=86
Exploring Operation: 65+5=70, Resulting Numbers: [75, 91, 70]
Generated Node #0,2: 89:[75, 91, 70] Operation: 65+5=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[65, 91, 80], Operations: ['75+5=80']
Exploring Operation: 91-65=26, Resulting Numbers: [80, 26]
Generated Node #0,0,0: 89:[80, 26] Operation: 91-65=26
Exploring Operation: 65+80=145, Resulting Numbers: [91, 145]
Generated Node #0,0,1: 89:[91, 145] Operation: 65+80=145
Exploring Operation: 65+91=156, Resulting Numbers: [80, 156]
Generated Node #0,0,2: 89:[80, 156] Operation: 65+91=156
Moving to Node #0,0,1
Current State: 89:[91, 145], Operations: ['75+5=80', '65+80=145']
Exploring Operation: 91+145=236, Resulting Numbers: [236]
236,89 unequal: No Solution
Exploring Operation: 91*145=13195, Resulting Numbers: [13195]
13195,89 unequal: No Solution
Exploring Operation: 145-91=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[80, 26], Operations: ['75+5=80', '91-65=26']
Exploring Operation: 80*26=2080, Resulting Numbers: [2080]
2080,89 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 80+26=106, Resulting Numbers: [106]
106,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[80, 156], Operations: ['75+5=80', '65+91=156']
Exploring Operation: 80+156=236, Resulting Numbers: [236]
236,89 unequal: No Solution
Exploring Operation: 80*156=12480, Resulting Numbers: [12480]
12480,89 unequal: No Solution
Exploring Operation: 156-80=76, Resulting Numbers: [76]
76,89 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:[75, 91, 70], Operations: ['65+5=70']
Exploring Operation: 75-70=5, Resulting Numbers: [91, 5]
Generated Node #0,2,0: 89:[91, 5] Operation: 75-70=5
Exploring Operation: 75+70=145, Resulting Numbers: [91, 145]
Generated Node #0,2,1: 89:[91, 145] Operation: 75+70=145
Exploring Operation: 91-70=21, Resulting Numbers: [75, 21]
Generated Node #0,2,2: 89:[75, 21] Operation: 91-70=21
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[91, 145], Operations: ['65+5=70', '75+70=145']
Exploring Operation: 145-91=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 91+145=236, Resulting Numbers: [236]
236,89 unequal: No Solution
Exploring Operation: 91*145=13195, Resulting Numbers: [13195]
13195,89 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 #0,2,2
Current State: 89:[75, 21], Operations: ['65+5=70', '91-70=21']
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 75*21=1575, Resulting Numbers: [1575]
1575,89 unequal: No Solution
Exploring Operation: 75+21=96, Resulting Numbers: [96]
96,89 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 #0,2,0
Current State: 89:[91, 5], Operations: ['65+5=70', '75-70=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,89 unequal: No Solution
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,89 unequal: No Solution
Exploring Operation: 91*5=455, Resulting Numbers: [455]
455,89 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:[75, 65, 86], Operations: ['91-5=86']
Exploring Operation: 75+65=140, Resulting Numbers: [86, 140]
Generated Node #0,1,0: 89:[86, 140] Operation: 75+65=140
Exploring Operation: 65+86=151, Resulting Numbers: [75, 151]
Generated Node #0,1,1: 89:[75, 151] Operation: 65+86=151
Exploring Operation: 75-65=10, Resulting Numbers: [86, 10]
Generated Node #0,1,2: 89:[86, 10] Operation: 75-65=10
Moving to Node #0,1,0
Current State: 89:[86, 140], Operations: ['91-5=86', '75+65=140']
Exploring Operation: 140-86=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 86+140=226, Resulting Numbers: [226]
226,89 unequal: No Solution
Exploring Operation: 86*140=12040, Resulting Numbers: [12040]
12040,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[75, 151], Operations: ['91-5=86', '65+86=151']
Exploring Operation: 75+151=226, Resulting Numbers: [226]
226,89 unequal: No Solution
Exploring Operation: 151-75=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 75*151=11325, Resulting Numbers: [11325]
11325,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[86, 10], Operations: ['91-5=86', '75-65=10']
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 86*10=860, Resulting Numbers: [860]
860,89 unequal: No Solution
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
72,
78,
42,
75
] | 18
|
[
"78-75=3",
"72/3=24",
"42-24=18"
] |
Current State: 18:[72, 78, 42, 75], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [72, 42, 3]
Generated Node #2: [72, 42, 3] from Operation: 78-75=3
Current State: 18:[72, 42, 3], Operations: ['78-75=3']
Exploring Operation: 72/3=24, Resulting Numbers: [42, 24]
Generated Node #3: [42, 24] from Operation: 72/3=24
Current State: 18:[42, 24], Operations: ['78-75=3', '72/3=24']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
Current State: 18:[72, 78, 42, 75], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [72, 75, 36]
Generated Node #0,0: 18:[72, 75, 36] Operation: 78-42=36
Exploring Operation: 78-75=3, Resulting Numbers: [72, 42, 3]
Generated Node #0,1: 18:[72, 42, 3] Operation: 78-75=3
Exploring Operation: 72-42=30, Resulting Numbers: [78, 75, 30]
Generated Node #0,2: 18:[78, 75, 30] Operation: 72-42=30
Exploring Operation: 75-72=3, Resulting Numbers: [78, 42, 3]
Generated Node #0,3: 18:[78, 42, 3] Operation: 75-72=3
Exploring Operation: 78-72=6, Resulting Numbers: [42, 75, 6]
Generated Node #0,4: 18:[42, 75, 6] Operation: 78-72=6
Moving to Node #0,1
Current State: 18:[72, 42, 3], Operations: ['78-75=3']
Exploring Operation: 42/3=14, Resulting Numbers: [72, 14]
Generated Node #0,1,0: 18:[72, 14] Operation: 42/3=14
Exploring Operation: 72-42=30, Resulting Numbers: [3, 30]
Generated Node #0,1,1: 18:[3, 30] Operation: 72-42=30
Exploring Operation: 72/3=24, Resulting Numbers: [42, 24]
Generated Node #0,1,2: 18:[42, 24] Operation: 72/3=24
Exploring Operation: 42-3=39, Resulting Numbers: [72, 39]
Generated Node #0,1,3: 18:[72, 39] Operation: 42-3=39
Exploring Operation: 72-3=69, Resulting Numbers: [42, 69]
Generated Node #0,1,4: 18:[42, 69] Operation: 72-3=69
Moving to Node #0,4
Current State: 18:[42, 75, 6], Operations: ['78-72=6']
Exploring Operation: 75-42=33, Resulting Numbers: [6, 33]
Generated Node #0,4,0: 18:[6, 33] Operation: 75-42=33
Exploring Operation: 42+6=48, Resulting Numbers: [75, 48]
Generated Node #0,4,1: 18:[75, 48] Operation: 42+6=48
Exploring Operation: 75-6=69, Resulting Numbers: [42, 69]
Generated Node #0,4,2: 18:[42, 69] Operation: 75-6=69
Exploring Operation: 42/6=7, Resulting Numbers: [75, 7]
Generated Node #0,4,3: 18:[75, 7] Operation: 42/6=7
Exploring Operation: 42-6=36, Resulting Numbers: [75, 36]
Generated Node #0,4,4: 18:[75, 36] Operation: 42-6=36
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 18:[6, 33], Operations: ['78-72=6', '75-42=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 18:[75, 7], Operations: ['78-72=6', '42/6=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,18 unequal: No Solution
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 18:[42, 69], Operations: ['78-72=6', '75-6=69']
Exploring Operation: 42*69=2898, Resulting Numbers: [2898]
2898,18 unequal: No Solution
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 42+69=111, Resulting Numbers: [111]
111,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 18:[75, 36], Operations: ['78-72=6', '42-6=36']
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,18 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 18:[75, 48], Operations: ['78-72=6', '42+6=48']
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 75+48=123, Resulting Numbers: [123]
123,18 unequal: No Solution
Exploring Operation: 75*48=3600, Resulting Numbers: [3600]
3600,18 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: 18:[78, 42, 3], Operations: ['75-72=3']
Exploring Operation: 42/3=14, Resulting Numbers: [78, 14]
Generated Node #0,3,0: 18:[78, 14] Operation: 42/3=14
Exploring Operation: 78-3=75, Resulting Numbers: [42, 75]
Generated Node #0,3,1: 18:[42, 75] Operation: 78-3=75
Exploring Operation: 42-3=39, Resulting Numbers: [78, 39]
Generated Node #0,3,2: 18:[78, 39] Operation: 42-3=39
Exploring Operation: 78-42=36, Resulting Numbers: [3, 36]
Generated Node #0,3,3: 18:[3, 36] Operation: 78-42=36
Exploring Operation: 78/3=26, Resulting Numbers: [42, 26]
Generated Node #0,3,4: 18:[42, 26] Operation: 78/3=26
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 18:[3, 36], Operations: ['75-72=3', '78-42=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,18 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,18 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 18:[42, 26], Operations: ['75-72=3', '78/3=26']
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 42*26=1092, Resulting Numbers: [1092]
1092,18 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 18:[78, 14], Operations: ['75-72=3', '42/3=14']
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,18 unequal: No Solution
Exploring Operation: 78*14=1092, Resulting Numbers: [1092]
1092,18 unequal: No Solution
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 18:[42, 75], Operations: ['75-72=3', '78-3=75']
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,18 unequal: No Solution
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[78, 39], Operations: ['75-72=3', '42-3=39']
Exploring Operation: 78+39=117, Resulting Numbers: [117]
117,18 unequal: No Solution
Exploring Operation: 78/39=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 78*39=3042, Resulting Numbers: [3042]
3042,18 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: 18:[72, 75, 36], Operations: ['78-42=36']
Exploring Operation: 72/36=2, Resulting Numbers: [75, 2]
Generated Node #0,0,0: 18:[75, 2] Operation: 72/36=2
Exploring Operation: 75-72=3, Resulting Numbers: [36, 3]
Generated Node #0,0,1: 18:[36, 3] Operation: 75-72=3
Exploring Operation: 72-36=36, Resulting Numbers: [75, 36]
Generated Node #0,0,2: 18:[75, 36] Operation: 72-36=36
Exploring Operation: 72+75=147, Resulting Numbers: [36, 147]
Generated Node #0,0,3: 18:[36, 147] Operation: 72+75=147
Exploring Operation: 75-36=39, Resulting Numbers: [72, 39]
Generated Node #0,0,4: 18:[72, 39] Operation: 75-36=39
Moving to Node #0,2
Current State: 18:[78, 75, 30], Operations: ['72-42=30']
Exploring Operation: 75-30=45, Resulting Numbers: [78, 45]
Generated Node #0,2,0: 18:[78, 45] Operation: 75-30=45
Exploring Operation: 78+75=153, Resulting Numbers: [30, 153]
Generated Node #0,2,1: 18:[30, 153] Operation: 78+75=153
Exploring Operation: 78-75=3, Resulting Numbers: [30, 3]
Generated Node #0,2,2: 18:[30, 3] Operation: 78-75=3
Exploring Operation: 78+30=108, Resulting Numbers: [75, 108]
Generated Node #0,2,3: 18:[75, 108] Operation: 78+30=108
Exploring Operation: 78-30=48, Resulting Numbers: [75, 48]
Generated Node #0,2,4: 18:[75, 48] Operation: 78-30=48
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[30, 3], Operations: ['72-42=30', '78-75=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[78, 45], Operations: ['72-42=30', '75-30=45']
Exploring Operation: 78-45=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 78*45=3510, Resulting Numbers: [3510]
3510,18 unequal: No Solution
Exploring Operation: 78+45=123, Resulting Numbers: [123]
123,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 18:[75, 48], Operations: ['72-42=30', '78-30=48']
Exploring Operation: 75*48=3600, Resulting Numbers: [3600]
3600,18 unequal: No Solution
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 75+48=123, Resulting Numbers: [123]
123,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[30, 153], Operations: ['72-42=30', '78+75=153']
Exploring Operation: 153-30=123, Resulting Numbers: [123]
123,18 unequal: No Solution
Exploring Operation: 30+153=183, Resulting Numbers: [183]
183,18 unequal: No Solution
Exploring Operation: 30*153=4590, Resulting Numbers: [4590]
4590,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 18:[75, 108], Operations: ['72-42=30', '78+30=108']
Exploring Operation: 108-75=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 75+108=183, Resulting Numbers: [183]
183,18 unequal: No Solution
Exploring Operation: 75*108=8100, Resulting Numbers: [8100]
8100,18 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: 18:[3, 30], Operations: ['78-75=3', '72-42=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[36, 3], Operations: ['78-42=36', '75-72=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,18 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,18 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[42, 24], Operations: ['78-75=3', '72/3=24']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[72, 78, 42, 75], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [72, 42, 3]
Generated Node #0,1: 18:[72, 42, 3] Operation: 78-75=3
Moving to Node #0,1
Current State: 18:[72, 42, 3], Operations: ['78-75=3']
Exploring Operation: 72/3=24, Resulting Numbers: [42, 24]
Generated Node #0,1,2: 18:[42, 24] Operation: 72/3=24
Moving to Node #0,1,2
Current State: 18:[42, 24], Operations: ['78-75=3', '72/3=24']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.921007
|
hs_5
|
mult_heuristic
|
[
28,
58,
94,
2
] | 74
|
[
"94-28=66",
"2*66=132",
"132-58=74"
] |
Current State: 74:[28, 58, 94, 2], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [58, 2, 66]
Generated Node #2: [58, 2, 66] from Operation: 94-28=66
Current State: 74:[58, 2, 66], Operations: ['94-28=66']
Exploring Operation: 2*66=132, Resulting Numbers: [58, 132]
Generated Node #3: [58, 132] from Operation: 2*66=132
Current State: 74:[58, 132], Operations: ['94-28=66', '2*66=132']
Exploring Operation: 132-58=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[28, 58, 94, 2], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [28, 2, 36]
Generated Node #0,0: 74:[28, 2, 36] Operation: 94-58=36
Exploring Operation: 58-28=30, Resulting Numbers: [94, 2, 30]
Generated Node #0,1: 74:[94, 2, 30] Operation: 58-28=30
Exploring Operation: 28+58=86, Resulting Numbers: [94, 2, 86]
Generated Node #0,2: 74:[94, 2, 86] Operation: 28+58=86
Exploring Operation: 94-28=66, Resulting Numbers: [58, 2, 66]
Generated Node #0,3: 74:[58, 2, 66] Operation: 94-28=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[28, 2, 36], Operations: ['94-58=36']
Exploring Operation: 2+36=38, Resulting Numbers: [28, 38]
Generated Node #0,0,0: 74:[28, 38] Operation: 2+36=38
Exploring Operation: 36-28=8, Resulting Numbers: [2, 8]
Generated Node #0,0,1: 74:[2, 8] Operation: 36-28=8
Exploring Operation: 28+2=30, Resulting Numbers: [36, 30]
Generated Node #0,0,2: 74:[36, 30] Operation: 28+2=30
Exploring Operation: 28+36=64, Resulting Numbers: [2, 64]
Generated Node #0,0,3: 74:[2, 64] Operation: 28+36=64
Moving to Node #0,0,1
Current State: 74:[2, 8], Operations: ['94-58=36', '36-28=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Moving to Node #0,0,2
Current State: 74:[36, 30], Operations: ['94-58=36', '28+2=30']
Exploring Operation: 36*30=1080, Resulting Numbers: [1080]
1080,74 unequal: No Solution
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Moving to Node #0,0,3
Current State: 74:[2, 64], Operations: ['94-58=36', '28+36=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,74 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[28, 38], Operations: ['94-58=36', '2+36=38']
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 28+38=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 28*38=1064, Resulting Numbers: [1064]
1064,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[58, 2, 66], Operations: ['94-28=66']
Exploring Operation: 58/2=29, Resulting Numbers: [66, 29]
Generated Node #0,3,0: 74:[66, 29] Operation: 58/2=29
Exploring Operation: 66-58=8, Resulting Numbers: [2, 8]
Generated Node #0,3,1: 74:[2, 8] Operation: 66-58=8
Exploring Operation: 66/2=33, Resulting Numbers: [58, 33]
Generated Node #0,3,2: 74:[58, 33] Operation: 66/2=33
Exploring Operation: 58+2=60, Resulting Numbers: [66, 60]
Generated Node #0,3,3: 74:[66, 60] Operation: 58+2=60
Moving to Node #0,3,1
Current State: 74:[2, 8], Operations: ['94-28=66', '66-58=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[66, 29], Operations: ['94-28=66', '58/2=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,74 unequal: No Solution
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,74 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[58, 33], Operations: ['94-28=66', '66/2=33']
Exploring Operation: 58*33=1914, Resulting Numbers: [1914]
1914,74 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,74 unequal: No Solution
Moving to Node #0,3,3
Current State: 74:[66, 60], Operations: ['94-28=66', '58+2=60']
Exploring Operation: 66+60=126, Resulting Numbers: [126]
126,74 unequal: No Solution
Exploring Operation: 66*60=3960, Resulting Numbers: [3960]
3960,74 unequal: No Solution
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,74 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
Current State: 74:[94, 2, 30], Operations: ['58-28=30']
Exploring Operation: 94/2=47, Resulting Numbers: [30, 47]
Generated Node #0,1,0: 74:[30, 47] Operation: 94/2=47
Exploring Operation: 94-30=64, Resulting Numbers: [2, 64]
Generated Node #0,1,1: 74:[2, 64] Operation: 94-30=64
Exploring Operation: 94-2=92, Resulting Numbers: [30, 92]
Generated Node #0,1,2: 74:[30, 92] Operation: 94-2=92
Exploring Operation: 2+30=32, Resulting Numbers: [94, 32]
Generated Node #0,1,3: 74:[94, 32] Operation: 2+30=32
Moving to Node #0,1,1
Current State: 74:[2, 64], Operations: ['58-28=30', '94-30=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,74 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,74 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[30, 47], Operations: ['58-28=30', '94/2=47']
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,74 unequal: No Solution
Exploring Operation: 30*47=1410, Resulting Numbers: [1410]
1410,74 unequal: No Solution
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[94, 32], Operations: ['58-28=30', '2+30=32']
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,74 unequal: No Solution
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,74 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[30, 92], Operations: ['58-28=30', '94-2=92']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,74 unequal: No Solution
Exploring Operation: 30+92=122, Resulting Numbers: [122]
122,74 unequal: No Solution
Exploring Operation: 30*92=2760, Resulting Numbers: [2760]
2760,74 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
Current State: 74:[94, 2, 86], Operations: ['28+58=86']
Exploring Operation: 86/2=43, Resulting Numbers: [94, 43]
Generated Node #0,2,0: 74:[94, 43] Operation: 86/2=43
Exploring Operation: 94-2=92, Resulting Numbers: [86, 92]
Generated Node #0,2,1: 74:[86, 92] Operation: 94-2=92
Exploring Operation: 94-86=8, Resulting Numbers: [2, 8]
Generated Node #0,2,2: 74:[2, 8] Operation: 94-86=8
Exploring Operation: 94/2=47, Resulting Numbers: [86, 47]
Generated Node #0,2,3: 74:[86, 47] Operation: 94/2=47
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 74:[2, 8], Operations: ['28+58=86', '94-86=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 74:[86, 47], Operations: ['28+58=86', '94/2=47']
Exploring Operation: 86+47=133, Resulting Numbers: [133]
133,74 unequal: No Solution
Exploring Operation: 86*47=4042, Resulting Numbers: [4042]
4042,74 unequal: No Solution
Exploring Operation: 86-47=39, Resulting Numbers: [39]
39,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 74:[94, 43], Operations: ['28+58=86', '86/2=43']
Exploring Operation: 94*43=4042, Resulting Numbers: [4042]
4042,74 unequal: No Solution
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,74 unequal: No Solution
Exploring Operation: 94+43=137, Resulting Numbers: [137]
137,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 74:[86, 92], Operations: ['28+58=86', '94-2=92']
Exploring Operation: 86*92=7912, Resulting Numbers: [7912]
7912,74 unequal: No Solution
Exploring Operation: 86+92=178, Resulting Numbers: [178]
178,74 unequal: No Solution
Exploring Operation: 92-86=6, Resulting Numbers: [6]
6,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
28,
3,
9,
11
] | 50
|
[
"28-3=25",
"11-9=2",
"25*2=50"
] |
Current State: 50:[28, 3, 9, 11], Operations: []
Exploring Operation: 28-3=25, Resulting Numbers: [9, 11, 25]
Generated Node #2: [9, 11, 25] from Operation: 28-3=25
Current State: 50:[9, 11, 25], Operations: ['28-3=25']
Exploring Operation: 11-9=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 11-9=2
Current State: 50:[25, 2], Operations: ['28-3=25', '11-9=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[28, 3, 9, 11], Operations: []
Exploring Operation: 28-3=25, Resulting Numbers: [9, 11, 25]
Generated Node #0,0: 50:[9, 11, 25] Operation: 28-3=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[9, 11, 25], Operations: ['28-3=25']
Exploring Operation: 11-9=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 50:[25, 2] Operation: 11-9=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[25, 2], Operations: ['28-3=25', '11-9=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[28, 3, 9, 11], Operations: []
Exploring Operation: 28-3=25, Resulting Numbers: [9, 11, 25]
Generated Node #0,0: 50:[9, 11, 25] Operation: 28-3=25
Moving to Node #0,0
Current State: 50:[9, 11, 25], Operations: ['28-3=25']
Exploring Operation: 11-9=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 50:[25, 2] Operation: 11-9=2
Moving to Node #0,0,0
Current State: 50:[25, 2], Operations: ['28-3=25', '11-9=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
64,
76,
9,
78
] | 57
|
[
"76-64=12",
"78-9=69",
"69-12=57"
] |
Current State: 57:[64, 76, 9, 78], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [9, 78, 12]
Generated Node #2: [9, 78, 12] from Operation: 76-64=12
Current State: 57:[9, 78, 12], Operations: ['76-64=12']
Exploring Operation: 78-9=69, Resulting Numbers: [12, 69]
Generated Node #3: [12, 69] from Operation: 78-9=69
Current State: 57:[12, 69], Operations: ['76-64=12', '78-9=69']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[64, 76, 9, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [64, 9, 2]
Generated Node #0,0: 57:[64, 9, 2] Operation: 78-76=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[64, 9, 2], Operations: ['78-76=2']
Exploring Operation: 64-9=55, Resulting Numbers: [2, 55]
Generated Node #0,0,0: 57:[2, 55] Operation: 64-9=55
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[2, 55], Operations: ['78-76=2', '64-9=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[64, 76, 9, 78], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [64, 9, 2]
Generated Node #0,0: 57:[64, 9, 2] Operation: 78-76=2
Moving to Node #0,0
Current State: 57:[64, 9, 2], Operations: ['78-76=2']
Exploring Operation: 64-9=55, Resulting Numbers: [2, 55]
Generated Node #0,0,0: 57:[2, 55] Operation: 64-9=55
Moving to Node #0,0,0
Current State: 57:[2, 55], Operations: ['78-76=2', '64-9=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
5,
45,
49,
81
] | 35
|
[
"45+49=94",
"81+94=175",
"175/5=35"
] |
Current State: 35:[5, 45, 49, 81], Operations: []
Exploring Operation: 45+49=94, Resulting Numbers: [5, 81, 94]
Generated Node #2: [5, 81, 94] from Operation: 45+49=94
Current State: 35:[5, 81, 94], Operations: ['45+49=94']
Exploring Operation: 81+94=175, Resulting Numbers: [5, 175]
Generated Node #3: [5, 175] from Operation: 81+94=175
Current State: 35:[5, 175], Operations: ['45+49=94', '81+94=175']
Exploring Operation: 175/5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[5, 45, 49, 81], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [5, 49, 36]
Generated Node #0,0: 35:[5, 49, 36] Operation: 81-45=36
Exploring Operation: 81-49=32, Resulting Numbers: [5, 45, 32]
Generated Node #0,1: 35:[5, 45, 32] Operation: 81-49=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[5, 45, 32], Operations: ['81-49=32']
Exploring Operation: 45-32=13, Resulting Numbers: [5, 13]
Generated Node #0,1,0: 35:[5, 13] Operation: 45-32=13
Exploring Operation: 45/5=9, Resulting Numbers: [32, 9]
Generated Node #0,1,1: 35:[32, 9] Operation: 45/5=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[32, 9], Operations: ['81-49=32', '45/5=9']
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,35 unequal: No Solution
No 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: 35:[5, 13], Operations: ['81-49=32', '45-32=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,35 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: 35:[5, 49, 36], Operations: ['81-45=36']
Exploring Operation: 49-36=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 35:[5, 13] Operation: 49-36=13
Exploring Operation: 49-5=44, Resulting Numbers: [36, 44]
Generated Node #0,0,1: 35:[36, 44] Operation: 49-5=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[5, 13], Operations: ['81-45=36', '49-36=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,35 unequal: No Solution
No 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: 35:[36, 44], Operations: ['81-45=36', '49-5=44']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
4,
64,
18,
3
] | 89
|
[
"4+64=68",
"18+3=21",
"68+21=89"
] |
Current State: 89:[4, 64, 18, 3], Operations: []
Exploring Operation: 4+64=68, Resulting Numbers: [18, 3, 68]
Generated Node #2: [18, 3, 68] from Operation: 4+64=68
Current State: 89:[18, 3, 68], Operations: ['4+64=68']
Exploring Operation: 18+3=21, Resulting Numbers: [68, 21]
Generated Node #3: [68, 21] from Operation: 18+3=21
Current State: 89:[68, 21], Operations: ['4+64=68', '18+3=21']
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[4, 64, 18, 3], Operations: []
Exploring Operation: 4*3=12, Resulting Numbers: [64, 18, 12]
Generated Node #0,0: 89:[64, 18, 12] Operation: 4*3=12
Exploring Operation: 4*18=72, Resulting Numbers: [64, 3, 72]
Generated Node #0,1: 89:[64, 3, 72] Operation: 4*18=72
Exploring Operation: 18*3=54, Resulting Numbers: [4, 64, 54]
Generated Node #0,2: 89:[4, 64, 54] Operation: 18*3=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[64, 3, 72], Operations: ['4*18=72']
Exploring Operation: 64-3=61, Resulting Numbers: [72, 61]
Generated Node #0,1,0: 89:[72, 61] Operation: 64-3=61
Exploring Operation: 3+72=75, Resulting Numbers: [64, 75]
Generated Node #0,1,1: 89:[64, 75] Operation: 3+72=75
Exploring Operation: 64+3=67, Resulting Numbers: [72, 67]
Generated Node #0,1,2: 89:[72, 67] Operation: 64+3=67
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[64, 75], Operations: ['4*18=72', '3+72=75']
Exploring Operation: 64*75=4800, Resulting Numbers: [4800]
4800,89 unequal: No Solution
Exploring Operation: 64+75=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[72, 67], Operations: ['4*18=72', '64+3=67']
Exploring Operation: 72*67=4824, Resulting Numbers: [4824]
4824,89 unequal: No Solution
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,89 unequal: No Solution
Exploring Operation: 72+67=139, Resulting Numbers: [139]
139,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[72, 61], Operations: ['4*18=72', '64-3=61']
Exploring Operation: 72*61=4392, Resulting Numbers: [4392]
4392,89 unequal: No Solution
Exploring Operation: 72+61=133, Resulting Numbers: [133]
133,89 unequal: No Solution
Exploring Operation: 72-61=11, Resulting Numbers: [11]
11,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[4, 64, 54], Operations: ['18*3=54']
Exploring Operation: 4+54=58, Resulting Numbers: [64, 58]
Generated Node #0,2,0: 89:[64, 58] Operation: 4+54=58
Exploring Operation: 4+64=68, Resulting Numbers: [54, 68]
Generated Node #0,2,1: 89:[54, 68] Operation: 4+64=68
Exploring Operation: 64-4=60, Resulting Numbers: [54, 60]
Generated Node #0,2,2: 89:[54, 60] Operation: 64-4=60
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[64, 58], Operations: ['18*3=54', '4+54=58']
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 64+58=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 64*58=3712, Resulting Numbers: [3712]
3712,89 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 #0,2,1
Current State: 89:[54, 68], Operations: ['18*3=54', '4+64=68']
Exploring Operation: 54+68=122, Resulting Numbers: [122]
122,89 unequal: No Solution
Exploring Operation: 54*68=3672, Resulting Numbers: [3672]
3672,89 unequal: No Solution
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,89 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 #0,2,2
Current State: 89:[54, 60], Operations: ['18*3=54', '64-4=60']
Exploring Operation: 54+60=114, Resulting Numbers: [114]
114,89 unequal: No Solution
Exploring Operation: 54*60=3240, Resulting Numbers: [3240]
3240,89 unequal: No Solution
Exploring Operation: 60-54=6, Resulting Numbers: [6]
6,89 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 #0,0
Current State: 89:[64, 18, 12], Operations: ['4*3=12']
Exploring Operation: 18+12=30, Resulting Numbers: [64, 30]
Generated Node #0,0,0: 89:[64, 30] Operation: 18+12=30
Exploring Operation: 64+12=76, Resulting Numbers: [18, 76]
Generated Node #0,0,1: 89:[18, 76] Operation: 64+12=76
Exploring Operation: 64+18=82, Resulting Numbers: [12, 82]
Generated Node #0,0,2: 89:[12, 82] Operation: 64+18=82
Moving to Node #0,0,0
Current State: 89:[64, 30], Operations: ['4*3=12', '18+12=30']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,89 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,89 unequal: No Solution
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[18, 76], Operations: ['4*3=12', '64+12=76']
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,89 unequal: No Solution
Exploring Operation: 18*76=1368, Resulting Numbers: [1368]
1368,89 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[12, 82], Operations: ['4*3=12', '64+18=82']
Exploring Operation: 82-12=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 12+82=94, Resulting Numbers: [94]
94,89 unequal: No Solution
Exploring Operation: 12*82=984, Resulting Numbers: [984]
984,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
64,
80,
19,
27
] | 62
|
[
"80-64=16",
"19+27=46",
"16+46=62"
] |
Current State: 62:[64, 80, 19, 27], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [19, 27, 16]
Generated Node #2: [19, 27, 16] from Operation: 80-64=16
Current State: 62:[19, 27, 16], Operations: ['80-64=16']
Exploring Operation: 19+27=46, Resulting Numbers: [16, 46]
Generated Node #3: [16, 46] from Operation: 19+27=46
Current State: 62:[16, 46], Operations: ['80-64=16', '19+27=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[64, 80, 19, 27], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [64, 27, 61]
Generated Node #0,0: 62:[64, 27, 61] Operation: 80-19=61
Exploring Operation: 80-27=53, Resulting Numbers: [64, 19, 53]
Generated Node #0,1: 62:[64, 19, 53] Operation: 80-27=53
Exploring Operation: 27-19=8, Resulting Numbers: [64, 80, 8]
Generated Node #0,2: 62:[64, 80, 8] Operation: 27-19=8
Exploring Operation: 80-64=16, Resulting Numbers: [19, 27, 16]
Generated Node #0,3: 62:[19, 27, 16] Operation: 80-64=16
Moving to Node #0,0
Current State: 62:[64, 27, 61], Operations: ['80-19=61']
Exploring Operation: 64-61=3, Resulting Numbers: [27, 3]
Generated Node #0,0,0: 62:[27, 3] Operation: 64-61=3
Exploring Operation: 27+61=88, Resulting Numbers: [64, 88]
Generated Node #0,0,1: 62:[64, 88] Operation: 27+61=88
Exploring Operation: 61-27=34, Resulting Numbers: [64, 34]
Generated Node #0,0,2: 62:[64, 34] Operation: 61-27=34
Exploring Operation: 64-27=37, Resulting Numbers: [61, 37]
Generated Node #0,0,3: 62:[61, 37] Operation: 64-27=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[27, 3], Operations: ['80-19=61', '64-61=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,62 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[64, 34], Operations: ['80-19=61', '61-27=34']
Exploring Operation: 64+34=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 64*34=2176, Resulting Numbers: [2176]
2176,62 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[61, 37], Operations: ['80-19=61', '64-27=37']
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 61*37=2257, Resulting Numbers: [2257]
2257,62 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[64, 88], Operations: ['80-19=61', '27+61=88']
Exploring Operation: 88-64=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 64+88=152, Resulting Numbers: [152]
152,62 unequal: No Solution
Exploring Operation: 64*88=5632, Resulting Numbers: [5632]
5632,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 62:[64, 19, 53], Operations: ['80-27=53']
Exploring Operation: 19+53=72, Resulting Numbers: [64, 72]
Generated Node #0,1,0: 62:[64, 72] Operation: 19+53=72
Exploring Operation: 64-19=45, Resulting Numbers: [53, 45]
Generated Node #0,1,1: 62:[53, 45] Operation: 64-19=45
Exploring Operation: 53-19=34, Resulting Numbers: [64, 34]
Generated Node #0,1,2: 62:[64, 34] Operation: 53-19=34
Exploring Operation: 64-53=11, Resulting Numbers: [19, 11]
Generated Node #0,1,3: 62:[19, 11] Operation: 64-53=11
Moving to Node #0,2
Current State: 62:[64, 80, 8], Operations: ['27-19=8']
Exploring Operation: 80-8=72, Resulting Numbers: [64, 72]
Generated Node #0,2,0: 62:[64, 72] Operation: 80-8=72
Exploring Operation: 80-64=16, Resulting Numbers: [8, 16]
Generated Node #0,2,1: 62:[8, 16] Operation: 80-64=16
Exploring Operation: 64-8=56, Resulting Numbers: [80, 56]
Generated Node #0,2,2: 62:[80, 56] Operation: 64-8=56
Exploring Operation: 80/8=10, Resulting Numbers: [64, 10]
Generated Node #0,2,3: 62:[64, 10] Operation: 80/8=10
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[64, 10], Operations: ['27-19=8', '80/8=10']
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,62 unequal: No Solution
Exploring Operation: 64*10=640, Resulting Numbers: [640]
640,62 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,62 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:[64, 72], Operations: ['27-19=8', '80-8=72']
Exploring Operation: 64*72=4608, Resulting Numbers: [4608]
4608,62 unequal: No Solution
Exploring Operation: 64+72=136, Resulting Numbers: [136]
136,62 unequal: No Solution
Exploring Operation: 72-64=8, Resulting Numbers: [8]
8,62 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 #0,2,1
Current State: 62:[8, 16], Operations: ['27-19=8', '80-64=16']
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 8*16=128, Resulting Numbers: [128]
128,62 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[80, 56], Operations: ['27-19=8', '64-8=56']
Exploring Operation: 80-56=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 80+56=136, Resulting Numbers: [136]
136,62 unequal: No Solution
Exploring Operation: 80*56=4480, Resulting Numbers: [4480]
4480,62 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: 62:[19, 27, 16], Operations: ['80-64=16']
Exploring Operation: 27-19=8, Resulting Numbers: [16, 8]
Generated Node #0,3,0: 62:[16, 8] Operation: 27-19=8
Exploring Operation: 19-16=3, Resulting Numbers: [27, 3]
Generated Node #0,3,1: 62:[27, 3] Operation: 19-16=3
Exploring Operation: 27-16=11, Resulting Numbers: [19, 11]
Generated Node #0,3,2: 62:[19, 11] Operation: 27-16=11
Exploring Operation: 19+16=35, Resulting Numbers: [27, 35]
Generated Node #0,3,3: 62:[27, 35] Operation: 19+16=35
Moving to Node #0,1,2
Current State: 62:[64, 34], Operations: ['80-27=53', '53-19=34']
Exploring Operation: 64+34=98, Resulting Numbers: [98]
98,62 unequal: No Solution
Exploring Operation: 64*34=2176, Resulting Numbers: [2176]
2176,62 unequal: No Solution
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[27, 3], Operations: ['80-64=16', '19-16=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,62 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[27, 35], Operations: ['80-64=16', '19+16=35']
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[64, 80, 19, 27], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [19, 27, 16]
Generated Node #0,3: 62:[19, 27, 16] Operation: 80-64=16
Moving to Node #0,3
Current State: 62:[19, 27, 16], Operations: ['80-64=16']
Exploring Operation: 19+16=35, Resulting Numbers: [27, 35]
Generated Node #0,3,3: 62:[27, 35] Operation: 19+16=35
Moving to Node #0,3,3
Current State: 62:[27, 35], Operations: ['80-64=16', '19+16=35']
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.949653
|
hs_4
|
sum_heuristic
|
[
13,
3,
1,
5
] | 57
|
[
"13+1=14",
"5+14=19",
"3*19=57"
] |
Current State: 57:[13, 3, 1, 5], Operations: []
Exploring Operation: 13+1=14, Resulting Numbers: [3, 5, 14]
Generated Node #2: [3, 5, 14] from Operation: 13+1=14
Current State: 57:[3, 5, 14], Operations: ['13+1=14']
Exploring Operation: 5+14=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 5+14=19
Current State: 57:[3, 19], Operations: ['13+1=14', '5+14=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[13, 3, 1, 5], Operations: []
Exploring Operation: 13+1=14, Resulting Numbers: [3, 5, 14]
Generated Node #0,0: 57:[3, 5, 14] Operation: 13+1=14
Exploring Operation: 13+5=18, Resulting Numbers: [3, 1, 18]
Generated Node #0,1: 57:[3, 1, 18] Operation: 13+5=18
Exploring Operation: 13+3=16, Resulting Numbers: [1, 5, 16]
Generated Node #0,2: 57:[1, 5, 16] Operation: 13+3=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[3, 1, 18], Operations: ['13+5=18']
Exploring Operation: 1+18=19, Resulting Numbers: [3, 19]
Generated Node #0,1,0: 57:[3, 19] Operation: 1+18=19
Exploring Operation: 3/1=3, Resulting Numbers: [18, 3]
Generated Node #0,1,1: 57:[18, 3] Operation: 3/1=3
Exploring Operation: 3*1=3, Resulting Numbers: [18, 3]
Generated Node #0,1,2: 57:[18, 3] Operation: 3*1=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 57:[3, 19], Operations: ['13+5=18', '1+18=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[13, 3, 1, 5], Operations: []
Exploring Operation: 13+5=18, Resulting Numbers: [3, 1, 18]
Generated Node #0,1: 57:[3, 1, 18] Operation: 13+5=18
Moving to Node #0,1
Current State: 57:[3, 1, 18], Operations: ['13+5=18']
Exploring Operation: 1+18=19, Resulting Numbers: [3, 19]
Generated Node #0,1,0: 57:[3, 19] Operation: 1+18=19
Moving to Node #0,1,0
Current State: 57:[3, 19], Operations: ['13+5=18', '1+18=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
sum_heuristic
|
[
5,
95,
91,
8
] | 10
|
[
"5*8=40",
"95-91=4",
"40/4=10"
] |
Current State: 10:[5, 95, 91, 8], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [95, 91, 40]
Generated Node #2: [95, 91, 40] from Operation: 5*8=40
Current State: 10:[95, 91, 40], Operations: ['5*8=40']
Exploring Operation: 95-91=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 95-91=4
Current State: 10:[40, 4], Operations: ['5*8=40', '95-91=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[5, 95, 91, 8], Operations: []
Exploring Operation: 95-5=90, Resulting Numbers: [91, 8, 90]
Generated Node #0,0: 10:[91, 8, 90] Operation: 95-5=90
Exploring Operation: 95/5=19, Resulting Numbers: [91, 8, 19]
Generated Node #0,1: 10:[91, 8, 19] Operation: 95/5=19
Exploring Operation: 95-8=87, Resulting Numbers: [5, 91, 87]
Generated Node #0,2: 10:[5, 91, 87] Operation: 95-8=87
Exploring Operation: 95-91=4, Resulting Numbers: [5, 8, 4]
Generated Node #0,3: 10:[5, 8, 4] Operation: 95-91=4
Exploring Operation: 91-8=83, Resulting Numbers: [5, 95, 83]
Generated Node #0,4: 10:[5, 95, 83] Operation: 91-8=83
Moving to Node #0,3
Current State: 10:[5, 8, 4], Operations: ['95-91=4']
Exploring Operation: 8-5=3, Resulting Numbers: [4, 3]
Generated Node #0,3,0: 10:[4, 3] Operation: 8-5=3
Exploring Operation: 8/4=2, Resulting Numbers: [5, 2]
Generated Node #0,3,1: 10:[5, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [5, 4]
Generated Node #0,3,2: 10:[5, 4] Operation: 8-4=4
Exploring Operation: 5+4=9, Resulting Numbers: [8, 9]
Generated Node #0,3,3: 10:[8, 9] Operation: 5+4=9
Exploring Operation: 8+4=12, Resulting Numbers: [5, 12]
Generated Node #0,3,4: 10:[5, 12] Operation: 8+4=12
Moving to Node #0,1
Current State: 10:[91, 8, 19], Operations: ['95/5=19']
Exploring Operation: 91-19=72, Resulting Numbers: [8, 72]
Generated Node #0,1,0: 10:[8, 72] Operation: 91-19=72
Exploring Operation: 91-8=83, Resulting Numbers: [19, 83]
Generated Node #0,1,1: 10:[19, 83] Operation: 91-8=83
Exploring Operation: 19-8=11, Resulting Numbers: [91, 11]
Generated Node #0,1,2: 10:[91, 11] Operation: 19-8=11
Exploring Operation: 8+19=27, Resulting Numbers: [91, 27]
Generated Node #0,1,3: 10:[91, 27] Operation: 8+19=27
Exploring Operation: 91+8=99, Resulting Numbers: [19, 99]
Generated Node #0,1,4: 10:[19, 99] Operation: 91+8=99
Moving to Node #0,2
Current State: 10:[5, 91, 87], Operations: ['95-8=87']
Exploring Operation: 87-5=82, Resulting Numbers: [91, 82]
Generated Node #0,2,0: 10:[91, 82] Operation: 87-5=82
Exploring Operation: 5+91=96, Resulting Numbers: [87, 96]
Generated Node #0,2,1: 10:[87, 96] Operation: 5+91=96
Exploring Operation: 91-5=86, Resulting Numbers: [87, 86]
Generated Node #0,2,2: 10:[87, 86] Operation: 91-5=86
Exploring Operation: 5+87=92, Resulting Numbers: [91, 92]
Generated Node #0,2,3: 10:[91, 92] Operation: 5+87=92
Exploring Operation: 91-87=4, Resulting Numbers: [5, 4]
Generated Node #0,2,4: 10:[5, 4] Operation: 91-87=4
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 10:[5, 4], Operations: ['95-8=87', '91-87=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,10 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No 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: 10:[91, 82], Operations: ['95-8=87', '87-5=82']
Exploring Operation: 91*82=7462, Resulting Numbers: [7462]
7462,10 unequal: No Solution
Exploring Operation: 91-82=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 91+82=173, Resulting Numbers: [173]
173,10 unequal: No Solution
No 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: 10:[87, 86], Operations: ['95-8=87', '91-5=86']
Exploring Operation: 87*86=7482, Resulting Numbers: [7482]
7482,10 unequal: No Solution
Exploring Operation: 87-86=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 87+86=173, Resulting Numbers: [173]
173,10 unequal: No Solution
No 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: 10:[87, 96], Operations: ['95-8=87', '5+91=96']
Exploring Operation: 87+96=183, Resulting Numbers: [183]
183,10 unequal: No Solution
Exploring Operation: 96-87=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 87*96=8352, Resulting Numbers: [8352]
8352,10 unequal: No Solution
No 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: 10:[91, 92], Operations: ['95-8=87', '5+87=92']
Exploring Operation: 92-91=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 91+92=183, Resulting Numbers: [183]
183,10 unequal: No Solution
Exploring Operation: 91*92=8372, Resulting Numbers: [8372]
8372,10 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: 10:[5, 95, 83], Operations: ['91-8=83']
Exploring Operation: 5+95=100, Resulting Numbers: [83, 100]
Generated Node #0,4,0: 10:[83, 100] Operation: 5+95=100
Exploring Operation: 95-83=12, Resulting Numbers: [5, 12]
Generated Node #0,4,1: 10:[5, 12] Operation: 95-83=12
Exploring Operation: 83-5=78, Resulting Numbers: [95, 78]
Generated Node #0,4,2: 10:[95, 78] Operation: 83-5=78
Exploring Operation: 95/5=19, Resulting Numbers: [83, 19]
Generated Node #0,4,3: 10:[83, 19] Operation: 95/5=19
Exploring Operation: 95-5=90, Resulting Numbers: [83, 90]
Generated Node #0,4,4: 10:[83, 90] Operation: 95-5=90
Moving to Node #0,0
Current State: 10:[91, 8, 90], Operations: ['95-5=90']
Exploring Operation: 91+8=99, Resulting Numbers: [90, 99]
Generated Node #0,0,0: 10:[90, 99] Operation: 91+8=99
Exploring Operation: 91-90=1, Resulting Numbers: [8, 1]
Generated Node #0,0,1: 10:[8, 1] Operation: 91-90=1
Exploring Operation: 90-8=82, Resulting Numbers: [91, 82]
Generated Node #0,0,2: 10:[91, 82] Operation: 90-8=82
Exploring Operation: 91-8=83, Resulting Numbers: [90, 83]
Generated Node #0,0,3: 10:[90, 83] Operation: 91-8=83
Exploring Operation: 8+90=98, Resulting Numbers: [91, 98]
Generated Node #0,0,4: 10:[91, 98] Operation: 8+90=98
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[8, 1], Operations: ['95-5=90', '91-90=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,10 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,10 unequal: No Solution
No 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: 10:[91, 82], Operations: ['95-5=90', '90-8=82']
Exploring Operation: 91+82=173, Resulting Numbers: [173]
173,10 unequal: No Solution
Exploring Operation: 91*82=7462, Resulting Numbers: [7462]
7462,10 unequal: No Solution
Exploring Operation: 91-82=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No 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: 10:[90, 83], Operations: ['95-5=90', '91-8=83']
Exploring Operation: 90-83=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 90+83=173, Resulting Numbers: [173]
173,10 unequal: No Solution
Exploring Operation: 90*83=7470, Resulting Numbers: [7470]
7470,10 unequal: No Solution
No 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: 10:[90, 99], Operations: ['95-5=90', '91+8=99']
Exploring Operation: 90*99=8910, Resulting Numbers: [8910]
8910,10 unequal: No Solution
Exploring Operation: 99-90=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 90+99=189, Resulting Numbers: [189]
189,10 unequal: No Solution
No 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: 10:[91, 98], Operations: ['95-5=90', '8+90=98']
Exploring Operation: 91*98=8918, Resulting Numbers: [8918]
8918,10 unequal: No Solution
Exploring Operation: 98-91=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 91+98=189, Resulting Numbers: [189]
189,10 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: 10:[5, 2], Operations: ['95-91=4', '8/4=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[5, 95, 91, 8], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [5, 8, 4]
Generated Node #0,3: 10:[5, 8, 4] Operation: 95-91=4
Moving to Node #0,3
Current State: 10:[5, 8, 4], Operations: ['95-91=4']
Exploring Operation: 8/4=2, Resulting Numbers: [5, 2]
Generated Node #0,3,1: 10:[5, 2] Operation: 8/4=2
Moving to Node #0,3,1
Current State: 10:[5, 2], Operations: ['95-91=4', '8/4=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.942708
|
hs_5
|
sum_heuristic
|
[
99,
31,
2,
16
] | 48
|
[
"99*16=1584",
"31+2=33",
"1584/33=48"
] |
Current State: 48:[99, 31, 2, 16], Operations: []
Exploring Operation: 99*16=1584, Resulting Numbers: [31, 2, 1584]
Generated Node #2: [31, 2, 1584] from Operation: 99*16=1584
Current State: 48:[31, 2, 1584], Operations: ['99*16=1584']
Exploring Operation: 31+2=33, Resulting Numbers: [1584, 33]
Generated Node #3: [1584, 33] from Operation: 31+2=33
Current State: 48:[1584, 33], Operations: ['99*16=1584', '31+2=33']
Exploring Operation: 1584/33=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[99, 31, 2, 16], Operations: []
Exploring Operation: 99-31=68, Resulting Numbers: [2, 16, 68]
Generated Node #0,0: 48:[2, 16, 68] Operation: 99-31=68
Moving to Node #0,0
Current State: 48:[2, 16, 68], Operations: ['99-31=68']
Exploring Operation: 68-16=52, Resulting Numbers: [2, 52]
Generated Node #0,0,0: 48:[2, 52] Operation: 68-16=52
Moving to Node #0,0,0
Current State: 48:[2, 52], Operations: ['99-31=68', '68-16=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,48 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
3,
3,
84,
56
] | 75
|
[
"84-3=81",
"81-56=25",
"3*25=75"
] |
Current State: 75:[3, 3, 84, 56], Operations: []
Exploring Operation: 84-3=81, Resulting Numbers: [56, 81]
Generated Node #2: [56, 81] from Operation: 84-3=81
Current State: 75:[56, 81], Operations: ['84-3=81']
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,75 equal: Goal Reached
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[3, 3, 84, 56], Operations: []
Exploring Operation: 84/3=28, Resulting Numbers: [3, 56, 28]
Generated Node #0,0: 75:[3, 56, 28] Operation: 84/3=28
Exploring Operation: 84-56=28, Resulting Numbers: [3, 3, 28]
Generated Node #0,1: 75:[3, 3, 28] Operation: 84-56=28
Moving to Node #0,1
Current State: 75:[3, 3, 28], Operations: ['84-56=28']
Exploring Operation: 28-3=25, Resulting Numbers: [3, 25]
Generated Node #0,1,0: 75:[3, 25] Operation: 28-3=25
Exploring Operation: 28-3=25, Resulting Numbers: [3, 25]
Generated Node #0,1,1: 75:[3, 25] Operation: 28-3=25
Moving to Node #0,0
Current State: 75:[3, 56, 28], Operations: ['84/3=28']
Exploring Operation: 56/28=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 75:[3, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [3, 28]
Generated Node #0,0,1: 75:[3, 28] Operation: 56-28=28
Moving to Node #0,1,0
Current State: 75:[3, 25], Operations: ['84-56=28', '28-3=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[3, 3, 84, 56], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [3, 3, 28]
Generated Node #0,1: 75:[3, 3, 28] Operation: 84-56=28
Moving to Node #0,1
Current State: 75:[3, 3, 28], Operations: ['84-56=28']
Exploring Operation: 28-3=25, Resulting Numbers: [3, 25]
Generated Node #0,1,0: 75:[3, 25] Operation: 28-3=25
Moving to Node #0,1,0
Current State: 75:[3, 25], Operations: ['84-56=28', '28-3=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.990451
|
hs_2
|
sum_heuristic
|
[
4,
93,
28,
8
] | 31
|
[
"28-4=24",
"93*8=744",
"744/24=31"
] |
Current State: 31:[4, 93, 28, 8], Operations: []
Exploring Operation: 28-4=24, Resulting Numbers: [93, 8, 24]
Generated Node #2: [93, 8, 24] from Operation: 28-4=24
Current State: 31:[93, 8, 24], Operations: ['28-4=24']
Exploring Operation: 93*8=744, Resulting Numbers: [24, 744]
Generated Node #3: [24, 744] from Operation: 93*8=744
Current State: 31:[24, 744], Operations: ['28-4=24', '93*8=744']
Exploring Operation: 744/24=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[4, 93, 28, 8], Operations: []
Exploring Operation: 93-8=85, Resulting Numbers: [4, 28, 85]
Generated Node #0,0: 31:[4, 28, 85] Operation: 93-8=85
Exploring Operation: 4*8=32, Resulting Numbers: [93, 28, 32]
Generated Node #0,1: 31:[93, 28, 32] Operation: 4*8=32
Exploring Operation: 93-4=89, Resulting Numbers: [28, 8, 89]
Generated Node #0,2: 31:[28, 8, 89] Operation: 93-4=89
Exploring Operation: 4+8=12, Resulting Numbers: [93, 28, 12]
Generated Node #0,3: 31:[93, 28, 12] Operation: 4+8=12
Exploring Operation: 93-28=65, Resulting Numbers: [4, 8, 65]
Generated Node #0,4: 31:[4, 8, 65] Operation: 93-28=65
Moving to Node #0,1
Current State: 31:[93, 28, 32], Operations: ['4*8=32']
Exploring Operation: 32-28=4, Resulting Numbers: [93, 4]
Generated Node #0,1,0: 31:[93, 4] Operation: 32-28=4
Exploring Operation: 93-32=61, Resulting Numbers: [28, 61]
Generated Node #0,1,1: 31:[28, 61] Operation: 93-32=61
Exploring Operation: 28+32=60, Resulting Numbers: [93, 60]
Generated Node #0,1,2: 31:[93, 60] Operation: 28+32=60
Exploring Operation: 93-28=65, Resulting Numbers: [32, 65]
Generated Node #0,1,3: 31:[32, 65] Operation: 93-28=65
Exploring Operation: 93+28=121, Resulting Numbers: [32, 121]
Generated Node #0,1,4: 31:[32, 121] Operation: 93+28=121
Moving to Node #0,2
Current State: 31:[28, 8, 89], Operations: ['93-4=89']
Exploring Operation: 28+8=36, Resulting Numbers: [89, 36]
Generated Node #0,2,0: 31:[89, 36] Operation: 28+8=36
Exploring Operation: 28-8=20, Resulting Numbers: [89, 20]
Generated Node #0,2,1: 31:[89, 20] Operation: 28-8=20
Exploring Operation: 8+89=97, Resulting Numbers: [28, 97]
Generated Node #0,2,2: 31:[28, 97] Operation: 8+89=97
Exploring Operation: 89-8=81, Resulting Numbers: [28, 81]
Generated Node #0,2,3: 31:[28, 81] Operation: 89-8=81
Exploring Operation: 89-28=61, Resulting Numbers: [8, 61]
Generated Node #0,2,4: 31:[8, 61] Operation: 89-28=61
Moving to Node #0,4
Current State: 31:[4, 8, 65], Operations: ['93-28=65']
Exploring Operation: 65-4=61, Resulting Numbers: [8, 61]
Generated Node #0,4,0: 31:[8, 61] Operation: 65-4=61
Exploring Operation: 8-4=4, Resulting Numbers: [65, 4]
Generated Node #0,4,1: 31:[65, 4] Operation: 8-4=4
Exploring Operation: 4+8=12, Resulting Numbers: [65, 12]
Generated Node #0,4,2: 31:[65, 12] Operation: 4+8=12
Exploring Operation: 65-8=57, Resulting Numbers: [4, 57]
Generated Node #0,4,3: 31:[4, 57] Operation: 65-8=57
Exploring Operation: 4*8=32, Resulting Numbers: [65, 32]
Generated Node #0,4,4: 31:[65, 32] Operation: 4*8=32
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 31:[65, 32], Operations: ['93-28=65', '4*8=32']
Exploring Operation: 65*32=2080, Resulting Numbers: [2080]
2080,31 unequal: No Solution
Exploring Operation: 65+32=97, Resulting Numbers: [97]
97,31 unequal: No Solution
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 31:[8, 61], Operations: ['93-28=65', '65-4=61']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 8*61=488, Resulting Numbers: [488]
488,31 unequal: No Solution
Exploring Operation: 8+61=69, Resulting Numbers: [69]
69,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 31:[65, 12], Operations: ['93-28=65', '4+8=12']
Exploring Operation: 65*12=780, Resulting Numbers: [780]
780,31 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 65+12=77, Resulting Numbers: [77]
77,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 31:[4, 57], Operations: ['93-28=65', '65-8=57']
Exploring Operation: 4*57=228, Resulting Numbers: [228]
228,31 unequal: No Solution
Exploring Operation: 4+57=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 31:[65, 4], Operations: ['93-28=65', '8-4=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 65*4=260, Resulting Numbers: [260]
260,31 unequal: No Solution
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,31 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: 31:[4, 28, 85], Operations: ['93-8=85']
Exploring Operation: 4+28=32, Resulting Numbers: [85, 32]
Generated Node #0,0,0: 31:[85, 32] Operation: 4+28=32
Exploring Operation: 4+85=89, Resulting Numbers: [28, 89]
Generated Node #0,0,1: 31:[28, 89] Operation: 4+85=89
Exploring Operation: 85-4=81, Resulting Numbers: [28, 81]
Generated Node #0,0,2: 31:[28, 81] Operation: 85-4=81
Exploring Operation: 28-4=24, Resulting Numbers: [85, 24]
Generated Node #0,0,3: 31:[85, 24] Operation: 28-4=24
Exploring Operation: 85-28=57, Resulting Numbers: [4, 57]
Generated Node #0,0,4: 31:[4, 57] Operation: 85-28=57
Moving to Node #0,3
Current State: 31:[93, 28, 12], Operations: ['4+8=12']
Exploring Operation: 93+12=105, Resulting Numbers: [28, 105]
Generated Node #0,3,0: 31:[28, 105] Operation: 93+12=105
Exploring Operation: 93-12=81, Resulting Numbers: [28, 81]
Generated Node #0,3,1: 31:[28, 81] Operation: 93-12=81
Exploring Operation: 93-28=65, Resulting Numbers: [12, 65]
Generated Node #0,3,2: 31:[12, 65] Operation: 93-28=65
Exploring Operation: 28+12=40, Resulting Numbers: [93, 40]
Generated Node #0,3,3: 31:[93, 40] Operation: 28+12=40
Exploring Operation: 28-12=16, Resulting Numbers: [93, 16]
Generated Node #0,3,4: 31:[93, 16] Operation: 28-12=16
Moving to Node #0,1,1
Current State: 31:[28, 61], Operations: ['4*8=32', '93-32=61']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 28+61=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Exploring Operation: 28*61=1708, Resulting Numbers: [1708]
1708,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[32, 65], Operations: ['4*8=32', '93-28=65']
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 32+65=97, Resulting Numbers: [97]
97,31 unequal: No Solution
Exploring Operation: 32*65=2080, Resulting Numbers: [2080]
2080,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[28, 81], Operations: ['93-4=89', '89-8=81']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 28*81=2268, Resulting Numbers: [2268]
2268,31 unequal: No Solution
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Moving to Node #0,2,4
Current State: 31:[8, 61], Operations: ['93-4=89', '89-28=61']
Exploring Operation: 8*61=488, Resulting Numbers: [488]
488,31 unequal: No Solution
Exploring Operation: 8+61=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Moving to Node #0,0,4
Current State: 31:[4, 57], Operations: ['93-8=85', '85-28=57']
Exploring Operation: 4+57=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 4*57=228, Resulting Numbers: [228]
228,31 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[28, 81], Operations: ['93-8=85', '85-4=81']
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Exploring Operation: 28*81=2268, Resulting Numbers: [2268]
2268,31 unequal: No Solution
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[28, 81], Operations: ['4+8=12', '93-12=81']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 28*81=2268, Resulting Numbers: [2268]
2268,31 unequal: No Solution
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Moving to Node #0,3,2
Current State: 31:[12, 65], Operations: ['4+8=12', '93-28=65']
Exploring Operation: 12*65=780, Resulting Numbers: [780]
780,31 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 12+65=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[85, 32], Operations: ['93-8=85', '4+28=32']
Exploring Operation: 85+32=117, Resulting Numbers: [117]
117,31 unequal: No Solution
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 85*32=2720, Resulting Numbers: [2720]
2720,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[85, 24], Operations: ['93-8=85', '28-4=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 85+24=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Exploring Operation: 85*24=2040, Resulting Numbers: [2040]
2040,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[28, 89], Operations: ['93-8=85', '4+85=89']
Exploring Operation: 28*89=2492, Resulting Numbers: [2492]
2492,31 unequal: No Solution
Exploring Operation: 89-28=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 28+89=117, Resulting Numbers: [117]
117,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[89, 36], Operations: ['93-4=89', '28+8=36']
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,31 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[28, 97], Operations: ['93-4=89', '8+89=97']
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 28+97=125, Resulting Numbers: [125]
125,31 unequal: No Solution
Exploring Operation: 28*97=2716, Resulting Numbers: [2716]
2716,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[89, 20], Operations: ['93-4=89', '28-8=20']
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,31 unequal: No Solution
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[93, 40], Operations: ['4+8=12', '28+12=40']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 93*40=3720, Resulting Numbers: [3720]
3720,31 unequal: No Solution
Exploring Operation: 93+40=133, Resulting Numbers: [133]
133,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[93, 16], Operations: ['4+8=12', '28-12=16']
Exploring Operation: 93*16=1488, Resulting Numbers: [1488]
1488,31 unequal: No Solution
Exploring Operation: 93+16=109, Resulting Numbers: [109]
109,31 unequal: No Solution
Exploring Operation: 93-16=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[28, 105], Operations: ['4+8=12', '93+12=105']
Exploring Operation: 105-28=77, Resulting Numbers: [77]
77,31 unequal: No Solution
Exploring Operation: 28+105=133, Resulting Numbers: [133]
133,31 unequal: No Solution
Exploring Operation: 28*105=2940, Resulting Numbers: [2940]
2940,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[93, 4], Operations: ['4*8=32', '32-28=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,31 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,31 unequal: No Solution
Moving to Node #0,1,4
Current State: 31:[32, 121], Operations: ['4*8=32', '93+28=121']
Exploring Operation: 32+121=153, Resulting Numbers: [153]
153,31 unequal: No Solution
Exploring Operation: 32*121=3872, Resulting Numbers: [3872]
3872,31 unequal: No Solution
Exploring Operation: 121-32=89, Resulting Numbers: [89]
89,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[93, 60], Operations: ['4*8=32', '28+32=60']
Exploring Operation: 93*60=5580, Resulting Numbers: [5580]
5580,31 unequal: No Solution
Exploring Operation: 93-60=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 93+60=153, Resulting Numbers: [153]
153,31 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
19,
16,
34,
30
] | 45
|
[
"34-30=4",
"16*4=64",
"64-19=45"
] |
Current State: 45:[19, 16, 34, 30], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [19, 16, 4]
Generated Node #2: [19, 16, 4] from Operation: 34-30=4
Current State: 45:[19, 16, 4], Operations: ['34-30=4']
Exploring Operation: 16*4=64, Resulting Numbers: [19, 64]
Generated Node #3: [19, 64] from Operation: 16*4=64
Current State: 45:[19, 64], Operations: ['34-30=4', '16*4=64']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[19, 16, 34, 30], Operations: []
Exploring Operation: 30-19=11, Resulting Numbers: [16, 34, 11]
Generated Node #0,0: 45:[16, 34, 11] Operation: 30-19=11
Exploring Operation: 34-30=4, Resulting Numbers: [19, 16, 4]
Generated Node #0,1: 45:[19, 16, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[19, 16, 4], Operations: ['34-30=4']
Exploring Operation: 19-4=15, Resulting Numbers: [16, 15]
Generated Node #0,1,0: 45:[16, 15] Operation: 19-4=15
Exploring Operation: 19-16=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 45:[4, 3] Operation: 19-16=3
Moving to Node #0,1,0
Current State: 45:[16, 15], Operations: ['34-30=4', '19-4=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[4, 3], Operations: ['34-30=4', '19-16=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,45 unequal: No Solution
No 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: 45:[16, 34, 11], Operations: ['30-19=11']
Exploring Operation: 34+11=45, Resulting Numbers: [16, 45]
Generated Node #0,0,0: 45:[16, 45] Operation: 34+11=45
Exploring Operation: 34-16=18, Resulting Numbers: [11, 18]
Generated Node #0,0,1: 45:[11, 18] Operation: 34-16=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[16, 45], Operations: ['30-19=11', '34+11=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,45 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,45 unequal: No Solution
No 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: 45:[11, 18], Operations: ['30-19=11', '34-16=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
27,
55,
6,
51
] | 17
|
[
"55-27=28",
"51-6=45",
"45-28=17"
] |
Current State: 17:[27, 55, 6, 51], Operations: []
Exploring Operation: 55-27=28, Resulting Numbers: [6, 51, 28]
Generated Node #2: [6, 51, 28] from Operation: 55-27=28
Current State: 17:[6, 51, 28], Operations: ['55-27=28']
Exploring Operation: 51-6=45, Resulting Numbers: [28, 45]
Generated Node #3: [28, 45] from Operation: 51-6=45
Current State: 17:[28, 45], Operations: ['55-27=28', '51-6=45']
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[27, 55, 6, 51], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [27, 6, 4]
Generated Node #0,0: 17:[27, 6, 4] Operation: 55-51=4
Exploring Operation: 55-27=28, Resulting Numbers: [6, 51, 28]
Generated Node #0,1: 17:[6, 51, 28] Operation: 55-27=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[27, 6, 4], Operations: ['55-51=4']
Exploring Operation: 27-4=23, Resulting Numbers: [6, 23]
Generated Node #0,0,0: 17:[6, 23] Operation: 27-4=23
Exploring Operation: 27-6=21, Resulting Numbers: [4, 21]
Generated Node #0,0,1: 17:[4, 21] Operation: 27-6=21
Moving to Node #0,0,0
Current State: 17:[6, 23], Operations: ['55-51=4', '27-4=23']
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[27, 55, 6, 51], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [27, 6, 4]
Generated Node #0,0: 17:[27, 6, 4] Operation: 55-51=4
Moving to Node #0,0
Current State: 17:[27, 6, 4], Operations: ['55-51=4']
Exploring Operation: 27-4=23, Resulting Numbers: [6, 23]
Generated Node #0,0,0: 17:[6, 23] Operation: 27-4=23
Moving to Node #0,0,0
Current State: 17:[6, 23], Operations: ['55-51=4', '27-4=23']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
sum_heuristic
|
[
46,
57,
24,
53
] | 40
|
[
"57-46=11",
"53-24=29",
"11+29=40"
] |
Current State: 40:[46, 57, 24, 53], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [24, 53, 11]
Generated Node #2: [24, 53, 11] from Operation: 57-46=11
Current State: 40:[24, 53, 11], Operations: ['57-46=11']
Exploring Operation: 53-24=29, Resulting Numbers: [11, 29]
Generated Node #3: [11, 29] from Operation: 53-24=29
Current State: 40:[11, 29], Operations: ['57-46=11', '53-24=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
Current State: 40:[46, 57, 24, 53], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [24, 53, 11]
Generated Node #0,0: 40:[24, 53, 11] Operation: 57-46=11
Exploring Operation: 57-24=33, Resulting Numbers: [46, 53, 33]
Generated Node #0,1: 40:[46, 53, 33] Operation: 57-24=33
Exploring Operation: 57-53=4, Resulting Numbers: [46, 24, 4]
Generated Node #0,2: 40:[46, 24, 4] Operation: 57-53=4
Exploring Operation: 53-46=7, Resulting Numbers: [57, 24, 7]
Generated Node #0,3: 40:[57, 24, 7] Operation: 53-46=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[46, 24, 4], Operations: ['57-53=4']
Exploring Operation: 24-4=20, Resulting Numbers: [46, 20]
Generated Node #0,2,0: 40:[46, 20] Operation: 24-4=20
Exploring Operation: 46-4=42, Resulting Numbers: [24, 42]
Generated Node #0,2,1: 40:[24, 42] Operation: 46-4=42
Exploring Operation: 46-24=22, Resulting Numbers: [4, 22]
Generated Node #0,2,2: 40:[4, 22] Operation: 46-24=22
Exploring Operation: 24/4=6, Resulting Numbers: [46, 6]
Generated Node #0,2,3: 40:[46, 6] Operation: 24/4=6
Moving to Node #0,2,2
Current State: 40:[4, 22], Operations: ['57-53=4', '46-24=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[24, 42], Operations: ['57-53=4', '46-4=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,40 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[46, 20], Operations: ['57-53=4', '24-4=20']
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,40 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[46, 6], Operations: ['57-53=4', '24/4=6']
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,40 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[46, 57, 24, 53], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [46, 24, 4]
Generated Node #0,2: 40:[46, 24, 4] Operation: 57-53=4
Moving to Node #0,2
Current State: 40:[46, 24, 4], Operations: ['57-53=4']
Exploring Operation: 24/4=6, Resulting Numbers: [46, 6]
Generated Node #0,2,3: 40:[46, 6] Operation: 24/4=6
Moving to Node #0,2,3
Current State: 40:[46, 6], Operations: ['57-53=4', '24/4=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167
|
hs_4
|
mult_heuristic
|
[
52,
47,
50,
12
] | 88
|
[
"50-47=3",
"12*3=36",
"52+36=88"
] |
Current State: 88:[52, 47, 50, 12], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [52, 12, 3]
Generated Node #2: [52, 12, 3] from Operation: 50-47=3
Current State: 88:[52, 12, 3], Operations: ['50-47=3']
Exploring Operation: 12*3=36, Resulting Numbers: [52, 36]
Generated Node #3: [52, 36] from Operation: 12*3=36
Current State: 88:[52, 36], Operations: ['50-47=3', '12*3=36']
Exploring Operation: 52+36=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
Current State: 88:[52, 47, 50, 12], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [47, 12, 2]
Generated Node #0,0: 88:[47, 12, 2] Operation: 52-50=2
Moving to Node #0,0
Current State: 88:[47, 12, 2], Operations: ['52-50=2']
Exploring Operation: 47-2=45, Resulting Numbers: [12, 45]
Generated Node #0,0,0: 88:[12, 45] Operation: 47-2=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[12, 45], Operations: ['52-50=2', '47-2=45']
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,88 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
|
[
91,
43,
2,
46
] | 50
|
[
"91-43=48",
"2*48=96",
"96-46=50"
] |
Current State: 50:[91, 43, 2, 46], Operations: []
Exploring Operation: 91-43=48, Resulting Numbers: [2, 46, 48]
Generated Node #2: [2, 46, 48] from Operation: 91-43=48
Current State: 50:[2, 46, 48], Operations: ['91-43=48']
Exploring Operation: 2*48=96, Resulting Numbers: [46, 96]
Generated Node #3: [46, 96] from Operation: 2*48=96
Current State: 50:[46, 96], Operations: ['91-43=48', '2*48=96']
Exploring Operation: 96-46=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[91, 43, 2, 46], Operations: []
Exploring Operation: 91-46=45, Resulting Numbers: [43, 2, 45]
Generated Node #0,0: 50:[43, 2, 45] Operation: 91-46=45
Exploring Operation: 46-43=3, Resulting Numbers: [91, 2, 3]
Generated Node #0,1: 50:[91, 2, 3] Operation: 46-43=3
Exploring Operation: 91-2=89, Resulting Numbers: [43, 46, 89]
Generated Node #0,2: 50:[43, 46, 89] Operation: 91-2=89
Exploring Operation: 91-43=48, Resulting Numbers: [2, 46, 48]
Generated Node #0,3: 50:[2, 46, 48] Operation: 91-43=48
Start Sub Search at level 1: Moving to Node #0,3
Current State: 50:[2, 46, 48], Operations: ['91-43=48']
Exploring Operation: 2+48=50, Resulting Numbers: [46, 50]
Generated Node #0,3,0: 50:[46, 50] Operation: 2+48=50
Exploring Operation: 48-46=2, Resulting Numbers: [2, 2]
Generated Node #0,3,1: 50:[2, 2] Operation: 48-46=2
Exploring Operation: 46/2=23, Resulting Numbers: [48, 23]
Generated Node #0,3,2: 50:[48, 23] Operation: 46/2=23
Exploring Operation: 2+46=48, Resulting Numbers: [48, 48]
Generated Node #0,3,3: 50:[48, 48] Operation: 2+46=48
Moving to Node #0,3,1
Current State: 50:[2, 2], Operations: ['91-43=48', '48-46=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[48, 23], Operations: ['91-43=48', '46/2=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,50 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[46, 50], Operations: ['91-43=48', '2+48=50']
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 46+50=96, Resulting Numbers: [96]
96,50 unequal: No Solution
Exploring Operation: 46*50=2300, Resulting Numbers: [2300]
2300,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[48, 48], Operations: ['91-43=48', '2+46=48']
Exploring Operation: 48/48=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,50 unequal: No Solution
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 48*48=2304, Resulting Numbers: [2304]
2304,50 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 #0,0
Current State: 50:[43, 2, 45], Operations: ['91-46=45']
Exploring Operation: 43-2=41, Resulting Numbers: [45, 41]
Generated Node #0,0,0: 50:[45, 41] Operation: 43-2=41
Exploring Operation: 2+45=47, Resulting Numbers: [43, 47]
Generated Node #0,0,1: 50:[43, 47] Operation: 2+45=47
Exploring Operation: 45-43=2, Resulting Numbers: [2, 2]
Generated Node #0,0,2: 50:[2, 2] Operation: 45-43=2
Exploring Operation: 43+2=45, Resulting Numbers: [45, 45]
Generated Node #0,0,3: 50:[45, 45] Operation: 43+2=45
Moving to Node #0,0,2
Current State: 50:[2, 2], Operations: ['91-46=45', '45-43=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[45, 45], Operations: ['91-46=45', '43+2=45']
Exploring Operation: 45-45=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 45*45=2025, Resulting Numbers: [2025]
2025,50 unequal: No Solution
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,50 unequal: No Solution
Exploring Operation: 45/45=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[43, 47], Operations: ['91-46=45', '2+45=47']
Exploring Operation: 43*47=2021, Resulting Numbers: [2021]
2021,50 unequal: No Solution
Exploring Operation: 43+47=90, Resulting Numbers: [90]
90,50 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[45, 41], Operations: ['91-46=45', '43-2=41']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 45*41=1845, Resulting Numbers: [1845]
1845,50 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 #0,1
Current State: 50:[91, 2, 3], Operations: ['46-43=3']
Exploring Operation: 2+3=5, Resulting Numbers: [91, 5]
Generated Node #0,1,0: 50:[91, 5] Operation: 2+3=5
Exploring Operation: 2*3=6, Resulting Numbers: [91, 6]
Generated Node #0,1,1: 50:[91, 6] Operation: 2*3=6
Exploring Operation: 91-2=89, Resulting Numbers: [3, 89]
Generated Node #0,1,2: 50:[3, 89] Operation: 91-2=89
Exploring Operation: 91-3=88, Resulting Numbers: [2, 88]
Generated Node #0,1,3: 50:[2, 88] Operation: 91-3=88
Moving to Node #0,1,3
Current State: 50:[2, 88], Operations: ['46-43=3', '91-3=88']
Exploring Operation: 2*88=176, Resulting Numbers: [176]
176,50 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,50 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[3, 89], Operations: ['46-43=3', '91-2=89']
Exploring Operation: 3*89=267, Resulting Numbers: [267]
267,50 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 3+89=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[91, 5], Operations: ['46-43=3', '2+3=5']
Exploring Operation: 91*5=455, Resulting Numbers: [455]
455,50 unequal: No Solution
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[91, 6], Operations: ['46-43=3', '2*3=6']
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,50 unequal: No Solution
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,50 unequal: No Solution
Exploring Operation: 91*6=546, Resulting Numbers: [546]
546,50 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 #0,2
Current State: 50:[43, 46, 89], Operations: ['91-2=89']
Exploring Operation: 43+46=89, Resulting Numbers: [89, 89]
Generated Node #0,2,0: 50:[89, 89] Operation: 43+46=89
Exploring Operation: 89-46=43, Resulting Numbers: [43, 43]
Generated Node #0,2,1: 50:[43, 43] Operation: 89-46=43
Exploring Operation: 89-43=46, Resulting Numbers: [46, 46]
Generated Node #0,2,2: 50:[46, 46] Operation: 89-43=46
Exploring Operation: 46-43=3, Resulting Numbers: [89, 3]
Generated Node #0,2,3: 50:[89, 3] Operation: 46-43=3
Moving to Node #0,2,2
Current State: 50:[46, 46], Operations: ['91-2=89', '89-43=46']
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 46*46=2116, Resulting Numbers: [2116]
2116,50 unequal: No Solution
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[43, 43], Operations: ['91-2=89', '89-46=43']
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 43/43=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 43*43=1849, Resulting Numbers: [1849]
1849,50 unequal: No Solution
Exploring Operation: 43-43=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Moving to Node #0,2,3
Current State: 50:[89, 3], Operations: ['91-2=89', '46-43=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,50 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[89, 89], Operations: ['91-2=89', '43+46=89']
Exploring Operation: 89+89=178, Resulting Numbers: [178]
178,50 unequal: No Solution
Exploring Operation: 89/89=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 89*89=7921, Resulting Numbers: [7921]
7921,50 unequal: No Solution
Exploring Operation: 89-89=0, Resulting Numbers: [0]
0,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
88,
51,
13,
53
] | 29
|
[
"88-51=37",
"13+53=66",
"66-37=29"
] |
Current State: 29:[88, 51, 13, 53], Operations: []
Exploring Operation: 88-51=37, Resulting Numbers: [13, 53, 37]
Generated Node #2: [13, 53, 37] from Operation: 88-51=37
Current State: 29:[13, 53, 37], Operations: ['88-51=37']
Exploring Operation: 13+53=66, Resulting Numbers: [37, 66]
Generated Node #3: [37, 66] from Operation: 13+53=66
Current State: 29:[37, 66], Operations: ['88-51=37', '13+53=66']
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
Current State: 29:[88, 51, 13, 53], Operations: []
Exploring Operation: 51-13=38, Resulting Numbers: [88, 53, 38]
Generated Node #0,0: 29:[88, 53, 38] Operation: 51-13=38
Exploring Operation: 88-51=37, Resulting Numbers: [13, 53, 37]
Generated Node #0,1: 29:[13, 53, 37] Operation: 88-51=37
Exploring Operation: 88-53=35, Resulting Numbers: [51, 13, 35]
Generated Node #0,2: 29:[51, 13, 35] Operation: 88-53=35
Exploring Operation: 88-13=75, Resulting Numbers: [51, 53, 75]
Generated Node #0,3: 29:[51, 53, 75] Operation: 88-13=75
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[51, 13, 35], Operations: ['88-53=35']
Exploring Operation: 35-13=22, Resulting Numbers: [51, 22]
Generated Node #0,2,0: 29:[51, 22] Operation: 35-13=22
Exploring Operation: 51-35=16, Resulting Numbers: [13, 16]
Generated Node #0,2,1: 29:[13, 16] Operation: 51-35=16
Exploring Operation: 51-13=38, Resulting Numbers: [35, 38]
Generated Node #0,2,2: 29:[35, 38] Operation: 51-13=38
Exploring Operation: 51+13=64, Resulting Numbers: [35, 64]
Generated Node #0,2,3: 29:[35, 64] Operation: 51+13=64
Moving to Node #0,2,2
Current State: 29:[35, 38], Operations: ['88-53=35', '51-13=38']
Exploring Operation: 35*38=1330, Resulting Numbers: [1330]
1330,29 unequal: No Solution
Exploring Operation: 35+38=73, Resulting Numbers: [73]
73,29 unequal: No Solution
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[13, 16], Operations: ['88-53=35', '51-35=16']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[88, 51, 13, 53], Operations: []
Exploring Operation: 88-53=35, Resulting Numbers: [51, 13, 35]
Generated Node #0,2: 29:[51, 13, 35] Operation: 88-53=35
Moving to Node #0,2
Current State: 29:[51, 13, 35], Operations: ['88-53=35']
Exploring Operation: 51-35=16, Resulting Numbers: [13, 16]
Generated Node #0,2,1: 29:[13, 16] Operation: 51-35=16
Moving to Node #0,2,1
Current State: 29:[13, 16], Operations: ['88-53=35', '51-35=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_4
|
sum_heuristic
|
[
16,
94,
78,
63
] | 39
|
[
"63-16=47",
"94/47=2",
"78/2=39"
] |
Current State: 39:[16, 94, 78, 63], Operations: []
Exploring Operation: 63-16=47, Resulting Numbers: [94, 78, 47]
Generated Node #2: [94, 78, 47] from Operation: 63-16=47
Current State: 39:[94, 78, 47], Operations: ['63-16=47']
Exploring Operation: 94/47=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 94/47=2
Current State: 39:[78, 2], Operations: ['63-16=47', '94/47=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[16, 94, 78, 63], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [16, 63, 16]
Generated Node #0,0: 39:[16, 63, 16] Operation: 94-78=16
Moving to Node #0,0
Current State: 39:[16, 63, 16], Operations: ['94-78=16']
Exploring Operation: 63-16=47, Resulting Numbers: [16, 47]
Generated Node #0,0,0: 39:[16, 47] Operation: 63-16=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[16, 47], Operations: ['94-78=16', '63-16=47']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,39 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
|
[
26,
63,
15,
78
] | 68
|
[
"26*15=390",
"390/78=5",
"63+5=68"
] |
Current State: 68:[26, 63, 15, 78], Operations: []
Exploring Operation: 26*15=390, Resulting Numbers: [63, 78, 390]
Generated Node #2: [63, 78, 390] from Operation: 26*15=390
Current State: 68:[63, 78, 390], Operations: ['26*15=390']
Exploring Operation: 390/78=5, Resulting Numbers: [63, 5]
Generated Node #3: [63, 5] from Operation: 390/78=5
Current State: 68:[63, 5], Operations: ['26*15=390', '390/78=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[26, 63, 15, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [63, 15, 3]
Generated Node #0,0: 68:[63, 15, 3] Operation: 78/26=3
Exploring Operation: 78-63=15, Resulting Numbers: [26, 15, 15]
Generated Node #0,1: 68:[26, 15, 15] Operation: 78-63=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[63, 15, 3], Operations: ['78/26=3']
Exploring Operation: 63+3=66, Resulting Numbers: [15, 66]
Generated Node #0,0,0: 68:[15, 66] Operation: 63+3=66
Exploring Operation: 63/3=21, Resulting Numbers: [15, 21]
Generated Node #0,0,1: 68:[15, 21] Operation: 63/3=21
Moving to Node #0,0,0
Current State: 68:[15, 66], Operations: ['78/26=3', '63+3=66']
Exploring Operation: 15+66=81, Resulting Numbers: [81]
81,68 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[15, 21], Operations: ['78/26=3', '63/3=21']
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[26, 15, 15], Operations: ['78-63=15']
Exploring Operation: 26-15=11, Resulting Numbers: [15, 11]
Generated Node #0,1,0: 68:[15, 11] Operation: 26-15=11
Exploring Operation: 26-15=11, Resulting Numbers: [15, 11]
Generated Node #0,1,1: 68:[15, 11] Operation: 26-15=11
Moving to Node #0,1,0
Current State: 68:[15, 11], Operations: ['78-63=15', '26-15=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[15, 11], Operations: ['78-63=15', '26-15=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,68 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
|
[
96,
5,
83,
32
] | 91
|
[
"96/32=3",
"5+83=88",
"3+88=91"
] |
Current State: 91:[96, 5, 83, 32], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [5, 83, 3]
Generated Node #2: [5, 83, 3] from Operation: 96/32=3
Current State: 91:[5, 83, 3], Operations: ['96/32=3']
Exploring Operation: 5+83=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 5+83=88
Current State: 91:[3, 88], Operations: ['96/32=3', '5+83=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
Current State: 91:[96, 5, 83, 32], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [5, 32, 13]
Generated Node #0,0: 91:[5, 32, 13] Operation: 96-83=13
Exploring Operation: 96/32=3, Resulting Numbers: [5, 83, 3]
Generated Node #0,1: 91:[5, 83, 3] Operation: 96/32=3
Exploring Operation: 32-5=27, Resulting Numbers: [96, 83, 27]
Generated Node #0,2: 91:[96, 83, 27] Operation: 32-5=27
Exploring Operation: 96-5=91, Resulting Numbers: [83, 32, 91]
Generated Node #0,3: 91:[83, 32, 91] Operation: 96-5=91
Exploring Operation: 5+83=88, Resulting Numbers: [96, 32, 88]
Generated Node #0,4: 91:[96, 32, 88] Operation: 5+83=88
Moving to Node #0,1
Current State: 91:[5, 83, 3], Operations: ['96/32=3']
Exploring Operation: 83+3=86, Resulting Numbers: [5, 86]
Generated Node #0,1,0: 91:[5, 86] Operation: 83+3=86
Exploring Operation: 5*3=15, Resulting Numbers: [83, 15]
Generated Node #0,1,1: 91:[83, 15] Operation: 5*3=15
Exploring Operation: 5+3=8, Resulting Numbers: [83, 8]
Generated Node #0,1,2: 91:[83, 8] Operation: 5+3=8
Exploring Operation: 5-3=2, Resulting Numbers: [83, 2]
Generated Node #0,1,3: 91:[83, 2] Operation: 5-3=2
Exploring Operation: 5+83=88, Resulting Numbers: [3, 88]
Generated Node #0,1,4: 91:[3, 88] Operation: 5+83=88
Moving to Node #0,0
Current State: 91:[5, 32, 13], Operations: ['96-83=13']
Exploring Operation: 13-5=8, Resulting Numbers: [32, 8]
Generated Node #0,0,0: 91:[32, 8] Operation: 13-5=8
Exploring Operation: 5+13=18, Resulting Numbers: [32, 18]
Generated Node #0,0,1: 91:[32, 18] Operation: 5+13=18
Exploring Operation: 32-5=27, Resulting Numbers: [13, 27]
Generated Node #0,0,2: 91:[13, 27] Operation: 32-5=27
Exploring Operation: 32-13=19, Resulting Numbers: [5, 19]
Generated Node #0,0,3: 91:[5, 19] Operation: 32-13=19
Exploring Operation: 5+32=37, Resulting Numbers: [13, 37]
Generated Node #0,0,4: 91:[13, 37] Operation: 5+32=37
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[5, 19], Operations: ['96-83=13', '32-13=19']
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,91 unequal: No Solution
No 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: 91:[13, 27], Operations: ['96-83=13', '32-5=27']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,91 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,91 unequal: No Solution
No 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: 91:[32, 8], Operations: ['96-83=13', '13-5=8']
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 32*8=256, Resulting Numbers: [256]
256,91 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No 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: 91:[32, 18], Operations: ['96-83=13', '5+13=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,91 unequal: No Solution
No 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: 91:[13, 37], Operations: ['96-83=13', '5+32=37']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,91 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,91 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: 91:[96, 83, 27], Operations: ['32-5=27']
Exploring Operation: 96+27=123, Resulting Numbers: [83, 123]
Generated Node #0,2,0: 91:[83, 123] Operation: 96+27=123
Exploring Operation: 83-27=56, Resulting Numbers: [96, 56]
Generated Node #0,2,1: 91:[96, 56] Operation: 83-27=56
Exploring Operation: 96-27=69, Resulting Numbers: [83, 69]
Generated Node #0,2,2: 91:[83, 69] Operation: 96-27=69
Exploring Operation: 96-83=13, Resulting Numbers: [27, 13]
Generated Node #0,2,3: 91:[27, 13] Operation: 96-83=13
Exploring Operation: 83+27=110, Resulting Numbers: [96, 110]
Generated Node #0,2,4: 91:[96, 110] Operation: 83+27=110
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 91:[27, 13], Operations: ['32-5=27', '96-83=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,91 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,91 unequal: No Solution
No 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: 91:[96, 110], Operations: ['32-5=27', '83+27=110']
Exploring Operation: 96*110=10560, Resulting Numbers: [10560]
10560,91 unequal: No Solution
Exploring Operation: 110-96=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 96+110=206, Resulting Numbers: [206]
206,91 unequal: No Solution
No 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: 91:[83, 69], Operations: ['32-5=27', '96-27=69']
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 83*69=5727, Resulting Numbers: [5727]
5727,91 unequal: No Solution
Exploring Operation: 83+69=152, Resulting Numbers: [152]
152,91 unequal: No Solution
No 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: 91:[83, 123], Operations: ['32-5=27', '96+27=123']
Exploring Operation: 123-83=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 83*123=10209, Resulting Numbers: [10209]
10209,91 unequal: No Solution
Exploring Operation: 83+123=206, Resulting Numbers: [206]
206,91 unequal: No Solution
No 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: 91:[96, 56], Operations: ['32-5=27', '83-27=56']
Exploring Operation: 96+56=152, Resulting Numbers: [152]
152,91 unequal: No Solution
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 96*56=5376, Resulting Numbers: [5376]
5376,91 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: 91:[83, 32, 91], Operations: ['96-5=91']
Exploring Operation: 91-32=59, Resulting Numbers: [83, 59]
Generated Node #0,3,0: 91:[83, 59] Operation: 91-32=59
Exploring Operation: 83-32=51, Resulting Numbers: [91, 51]
Generated Node #0,3,1: 91:[91, 51] Operation: 83-32=51
Exploring Operation: 91-83=8, Resulting Numbers: [32, 8]
Generated Node #0,3,2: 91:[32, 8] Operation: 91-83=8
Exploring Operation: 32+91=123, Resulting Numbers: [83, 123]
Generated Node #0,3,3: 91:[83, 123] Operation: 32+91=123
Exploring Operation: 83+32=115, Resulting Numbers: [91, 115]
Generated Node #0,3,4: 91:[91, 115] Operation: 83+32=115
Moving to Node #0,4
Current State: 91:[96, 32, 88], Operations: ['5+83=88']
Exploring Operation: 32+88=120, Resulting Numbers: [96, 120]
Generated Node #0,4,0: 91:[96, 120] Operation: 32+88=120
Exploring Operation: 96+32=128, Resulting Numbers: [88, 128]
Generated Node #0,4,1: 91:[88, 128] Operation: 96+32=128
Exploring Operation: 96/32=3, Resulting Numbers: [88, 3]
Generated Node #0,4,2: 91:[88, 3] Operation: 96/32=3
Exploring Operation: 96-32=64, Resulting Numbers: [88, 64]
Generated Node #0,4,3: 91:[88, 64] Operation: 96-32=64
Exploring Operation: 96-88=8, Resulting Numbers: [32, 8]
Generated Node #0,4,4: 91:[32, 8] Operation: 96-88=8
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 91:[88, 3], Operations: ['5+83=88', '96/32=3']
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,91 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[96, 5, 83, 32], Operations: []
Exploring Operation: 5+83=88, Resulting Numbers: [96, 32, 88]
Generated Node #0,4: 91:[96, 32, 88] Operation: 5+83=88
Moving to Node #0,4
Current State: 91:[96, 32, 88], Operations: ['5+83=88']
Exploring Operation: 96/32=3, Resulting Numbers: [88, 3]
Generated Node #0,4,2: 91:[88, 3] Operation: 96/32=3
Moving to Node #0,4,2
Current State: 91:[88, 3], Operations: ['5+83=88', '96/32=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184
|
hs_5
|
mult_heuristic
|
[
29,
31,
75,
1
] | 25
|
[
"31-29=2",
"1+2=3",
"75/3=25"
] |
Current State: 25:[29, 31, 75, 1], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [75, 1, 2]
Generated Node #2: [75, 1, 2] from Operation: 31-29=2
Current State: 25:[75, 1, 2], Operations: ['31-29=2']
Exploring Operation: 1+2=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 1+2=3
Current State: 25:[75, 3], Operations: ['31-29=2', '1+2=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[29, 31, 75, 1], Operations: []
Exploring Operation: 75-31=44, Resulting Numbers: [29, 1, 44]
Generated Node #0,0: 25:[29, 1, 44] Operation: 75-31=44
Moving to Node #0,0
Current State: 25:[29, 1, 44], Operations: ['75-31=44']
Exploring Operation: 44-29=15, Resulting Numbers: [1, 15]
Generated Node #0,0,0: 25:[1, 15] Operation: 44-29=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[1, 15], Operations: ['75-31=44', '44-29=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,25 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
|
[
34,
36,
24,
64
] | 42
|
[
"36-34=2",
"64-24=40",
"2+40=42"
] |
Current State: 42:[34, 36, 24, 64], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [24, 64, 2]
Generated Node #2: [24, 64, 2] from Operation: 36-34=2
Current State: 42:[24, 64, 2], Operations: ['36-34=2']
Exploring Operation: 64-24=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 64-24=40
Current State: 42:[2, 40], Operations: ['36-34=2', '64-24=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
Current State: 42:[34, 36, 24, 64], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [24, 64, 2]
Generated Node #0,0: 42:[24, 64, 2] Operation: 36-34=2
Exploring Operation: 64-34=30, Resulting Numbers: [36, 24, 30]
Generated Node #0,1: 42:[36, 24, 30] Operation: 64-34=30
Exploring Operation: 64-24=40, Resulting Numbers: [34, 36, 40]
Generated Node #0,2: 42:[34, 36, 40] Operation: 64-24=40
Exploring Operation: 64-36=28, Resulting Numbers: [34, 24, 28]
Generated Node #0,3: 42:[34, 24, 28] Operation: 64-36=28
Exploring Operation: 34-24=10, Resulting Numbers: [36, 64, 10]
Generated Node #0,4: 42:[36, 64, 10] Operation: 34-24=10
Moving to Node #0,2
Current State: 42:[34, 36, 40], Operations: ['64-24=40']
Exploring Operation: 36-34=2, Resulting Numbers: [40, 2]
Generated Node #0,2,0: 42:[40, 2] Operation: 36-34=2
Exploring Operation: 40-36=4, Resulting Numbers: [34, 4]
Generated Node #0,2,1: 42:[34, 4] Operation: 40-36=4
Exploring Operation: 34+36=70, Resulting Numbers: [40, 70]
Generated Node #0,2,2: 42:[40, 70] Operation: 34+36=70
Exploring Operation: 40-34=6, Resulting Numbers: [36, 6]
Generated Node #0,2,3: 42:[36, 6] Operation: 40-34=6
Exploring Operation: 34+40=74, Resulting Numbers: [36, 74]
Generated Node #0,2,4: 42:[36, 74] Operation: 34+40=74
Moving to Node #0,3
Current State: 42:[34, 24, 28], Operations: ['64-36=28']
Exploring Operation: 28-24=4, Resulting Numbers: [34, 4]
Generated Node #0,3,0: 42:[34, 4] Operation: 28-24=4
Exploring Operation: 24+28=52, Resulting Numbers: [34, 52]
Generated Node #0,3,1: 42:[34, 52] Operation: 24+28=52
Exploring Operation: 34+24=58, Resulting Numbers: [28, 58]
Generated Node #0,3,2: 42:[28, 58] Operation: 34+24=58
Exploring Operation: 34-28=6, Resulting Numbers: [24, 6]
Generated Node #0,3,3: 42:[24, 6] Operation: 34-28=6
Exploring Operation: 34-24=10, Resulting Numbers: [28, 10]
Generated Node #0,3,4: 42:[28, 10] Operation: 34-24=10
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 42:[24, 6], Operations: ['64-36=28', '34-28=6']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,42 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,42 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 #0,3,0
Current State: 42:[34, 4], Operations: ['64-36=28', '28-24=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,42 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,42 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 #0,3,4
Current State: 42:[28, 10], Operations: ['64-36=28', '34-24=10']
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,42 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,42 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 #0,3,1
Current State: 42:[34, 52], Operations: ['64-36=28', '24+28=52']
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,42 unequal: No Solution
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,42 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 #0,3,2
Current State: 42:[28, 58], Operations: ['64-36=28', '34+24=58']
Exploring Operation: 28*58=1624, Resulting Numbers: [1624]
1624,42 unequal: No Solution
Exploring Operation: 28+58=86, Resulting Numbers: [86]
86,42 unequal: No Solution
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,42 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: 42:[36, 24, 30], Operations: ['64-34=30']
Exploring Operation: 36+24=60, Resulting Numbers: [30, 60]
Generated Node #0,1,0: 42:[30, 60] Operation: 36+24=60
Exploring Operation: 24+30=54, Resulting Numbers: [36, 54]
Generated Node #0,1,1: 42:[36, 54] Operation: 24+30=54
Exploring Operation: 36-30=6, Resulting Numbers: [24, 6]
Generated Node #0,1,2: 42:[24, 6] Operation: 36-30=6
Exploring Operation: 30-24=6, Resulting Numbers: [36, 6]
Generated Node #0,1,3: 42:[36, 6] Operation: 30-24=6
Exploring Operation: 36-24=12, Resulting Numbers: [30, 12]
Generated Node #0,1,4: 42:[30, 12] Operation: 36-24=12
Moving to Node #0,0
Current State: 42:[24, 64, 2], Operations: ['36-34=2']
Exploring Operation: 64-24=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 42:[2, 40] Operation: 64-24=40
Exploring Operation: 24-2=22, Resulting Numbers: [64, 22]
Generated Node #0,0,1: 42:[64, 22] Operation: 24-2=22
Exploring Operation: 64/2=32, Resulting Numbers: [24, 32]
Generated Node #0,0,2: 42:[24, 32] Operation: 64/2=32
Exploring Operation: 24/2=12, Resulting Numbers: [64, 12]
Generated Node #0,0,3: 42:[64, 12] Operation: 24/2=12
Exploring Operation: 64-2=62, Resulting Numbers: [24, 62]
Generated Node #0,0,4: 42:[24, 62] Operation: 64-2=62
Moving to Node #0,4
Current State: 42:[36, 64, 10], Operations: ['34-24=10']
Exploring Operation: 36-10=26, Resulting Numbers: [64, 26]
Generated Node #0,4,0: 42:[64, 26] Operation: 36-10=26
Exploring Operation: 36+10=46, Resulting Numbers: [64, 46]
Generated Node #0,4,1: 42:[64, 46] Operation: 36+10=46
Exploring Operation: 64+10=74, Resulting Numbers: [36, 74]
Generated Node #0,4,2: 42:[36, 74] Operation: 64+10=74
Exploring Operation: 64-36=28, Resulting Numbers: [10, 28]
Generated Node #0,4,3: 42:[10, 28] Operation: 64-36=28
Exploring Operation: 64-10=54, Resulting Numbers: [36, 54]
Generated Node #0,4,4: 42:[36, 54] Operation: 64-10=54
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 42:[10, 28], Operations: ['34-24=10', '64-36=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,42 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,42 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 #0,4,4
Current State: 42:[36, 54], Operations: ['34-24=10', '64-10=54']
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,42 unequal: No Solution
Exploring Operation: 36*54=1944, Resulting Numbers: [1944]
1944,42 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,42 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 #0,4,1
Current State: 42:[64, 46], Operations: ['34-24=10', '36+10=46']
Exploring Operation: 64+46=110, Resulting Numbers: [110]
110,42 unequal: No Solution
Exploring Operation: 64*46=2944, Resulting Numbers: [2944]
2944,42 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,42 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 #0,4,0
Current State: 42:[64, 26], Operations: ['34-24=10', '36-10=26']
Exploring Operation: 64*26=1664, Resulting Numbers: [1664]
1664,42 unequal: No Solution
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,42 unequal: No Solution
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,42 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 #0,4,2
Current State: 42:[36, 74], Operations: ['34-24=10', '64+10=74']
Exploring Operation: 36+74=110, Resulting Numbers: [110]
110,42 unequal: No Solution
Exploring Operation: 36*74=2664, Resulting Numbers: [2664]
2664,42 unequal: No Solution
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 42:[40, 2], Operations: ['64-24=40', '36-34=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,42 unequal: No Solution
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[34, 36, 24, 64], Operations: []
Exploring Operation: 64-24=40, Resulting Numbers: [34, 36, 40]
Generated Node #0,2: 42:[34, 36, 40] Operation: 64-24=40
Moving to Node #0,2
Current State: 42:[34, 36, 40], Operations: ['64-24=40']
Exploring Operation: 36-34=2, Resulting Numbers: [40, 2]
Generated Node #0,2,0: 42:[40, 2] Operation: 36-34=2
Moving to Node #0,2,0
Current State: 42:[40, 2], Operations: ['64-24=40', '36-34=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.940104
|
hs_5
|
mult_heuristic
|
[
9,
54,
77,
41
] | 55
|
[
"9+54=63",
"77+41=118",
"118-63=55"
] |
Current State: 55:[9, 54, 77, 41], Operations: []
Exploring Operation: 9+54=63, Resulting Numbers: [77, 41, 63]
Generated Node #2: [77, 41, 63] from Operation: 9+54=63
Current State: 55:[77, 41, 63], Operations: ['9+54=63']
Exploring Operation: 77+41=118, Resulting Numbers: [63, 118]
Generated Node #3: [63, 118] from Operation: 77+41=118
Current State: 55:[63, 118], Operations: ['9+54=63', '77+41=118']
Exploring Operation: 118-63=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
Current State: 55:[9, 54, 77, 41], Operations: []
Exploring Operation: 9+41=50, Resulting Numbers: [54, 77, 50]
Generated Node #0,0: 55:[54, 77, 50] Operation: 9+41=50
Exploring Operation: 54-41=13, Resulting Numbers: [9, 77, 13]
Generated Node #0,1: 55:[9, 77, 13] Operation: 54-41=13
Exploring Operation: 77-9=68, Resulting Numbers: [54, 41, 68]
Generated Node #0,2: 55:[54, 41, 68] Operation: 77-9=68
Exploring Operation: 77-41=36, Resulting Numbers: [9, 54, 36]
Generated Node #0,3: 55:[9, 54, 36] Operation: 77-41=36
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[9, 54, 36], Operations: ['77-41=36']
Exploring Operation: 54-36=18, Resulting Numbers: [9, 18]
Generated Node #0,3,0: 55:[9, 18] Operation: 54-36=18
Exploring Operation: 36-9=27, Resulting Numbers: [54, 27]
Generated Node #0,3,1: 55:[54, 27] Operation: 36-9=27
Exploring Operation: 36/9=4, Resulting Numbers: [54, 4]
Generated Node #0,3,2: 55:[54, 4] Operation: 36/9=4
Exploring Operation: 9+36=45, Resulting Numbers: [54, 45]
Generated Node #0,3,3: 55:[54, 45] Operation: 9+36=45
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 55:[54, 4], Operations: ['77-41=36', '36/9=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,55 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 55:[9, 18], Operations: ['77-41=36', '54-36=18']
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,55 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 55:[54, 45], Operations: ['77-41=36', '9+36=45']
Exploring Operation: 54+45=99, Resulting Numbers: [99]
99,55 unequal: No Solution
Exploring Operation: 54*45=2430, Resulting Numbers: [2430]
2430,55 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 55:[54, 27], Operations: ['77-41=36', '36-9=27']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,55 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 54*27=1458, Resulting Numbers: [1458]
1458,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[9, 77, 13], Operations: ['54-41=13']
Exploring Operation: 13-9=4, Resulting Numbers: [77, 4]
Generated Node #0,1,0: 55:[77, 4] Operation: 13-9=4
Exploring Operation: 9+77=86, Resulting Numbers: [13, 86]
Generated Node #0,1,1: 55:[13, 86] Operation: 9+77=86
Exploring Operation: 77-9=68, Resulting Numbers: [13, 68]
Generated Node #0,1,2: 55:[13, 68] Operation: 77-9=68
Exploring Operation: 77-13=64, Resulting Numbers: [9, 64]
Generated Node #0,1,3: 55:[9, 64] Operation: 77-13=64
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 55:[9, 64], Operations: ['54-41=13', '77-13=64']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[9, 54, 77, 41], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [9, 77, 13]
Generated Node #0,1: 55:[9, 77, 13] Operation: 54-41=13
Moving to Node #0,1
Current State: 55:[9, 77, 13], Operations: ['54-41=13']
Exploring Operation: 77-13=64, Resulting Numbers: [9, 64]
Generated Node #0,1,3: 55:[9, 64] Operation: 77-13=64
Moving to Node #0,1,3
Current State: 55:[9, 64], Operations: ['54-41=13', '77-13=64']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309
|
hs_4
|
mult_heuristic
|
[
3,
97,
28,
51
] | 86
|
[
"51/3=17",
"97-28=69",
"17+69=86"
] |
Current State: 86:[3, 97, 28, 51], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [97, 28, 17]
Generated Node #2: [97, 28, 17] from Operation: 51/3=17
Current State: 86:[97, 28, 17], Operations: ['51/3=17']
Exploring Operation: 97-28=69, Resulting Numbers: [17, 69]
Generated Node #3: [17, 69] from Operation: 97-28=69
Current State: 86:[17, 69], Operations: ['51/3=17', '97-28=69']
Exploring Operation: 17+69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[3, 97, 28, 51], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [3, 28, 46]
Generated Node #0,0: 86:[3, 28, 46] Operation: 97-51=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[3, 28, 46], Operations: ['97-51=46']
Exploring Operation: 3*28=84, Resulting Numbers: [46, 84]
Generated Node #0,0,0: 86:[46, 84] Operation: 3*28=84
Moving to Node #0,0,0
Current State: 86:[46, 84], Operations: ['97-51=46', '3*28=84']
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,86 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
|
[
42,
29,
54,
88
] | 71
|
[
"42+29=71",
"54+88=142",
"142-71=71"
] |
Current State: 71:[42, 29, 54, 88], Operations: []
Exploring Operation: 42+29=71, Resulting Numbers: [54, 88, 71]
Generated Node #2: [54, 88, 71] from Operation: 42+29=71
Current State: 71:[54, 88, 71], Operations: ['42+29=71']
Exploring Operation: 54+88=142, Resulting Numbers: [71, 142]
Generated Node #3: [71, 142] from Operation: 54+88=142
Current State: 71:[71, 142], Operations: ['42+29=71', '54+88=142']
Exploring Operation: 142-71=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
Current State: 71:[42, 29, 54, 88], Operations: []
Exploring Operation: 42+29=71, Resulting Numbers: [54, 88, 71]
Generated Node #0,0: 71:[54, 88, 71] Operation: 42+29=71
Exploring Operation: 29+54=83, Resulting Numbers: [42, 88, 83]
Generated Node #0,1: 71:[42, 88, 83] Operation: 29+54=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[54, 88, 71], Operations: ['42+29=71']
Exploring Operation: 88-54=34, Resulting Numbers: [71, 34]
Generated Node #0,0,0: 71:[71, 34] Operation: 88-54=34
Exploring Operation: 54+88=142, Resulting Numbers: [71, 142]
Generated Node #0,0,1: 71:[71, 142] Operation: 54+88=142
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[71, 34], Operations: ['42+29=71', '88-54=34']
Exploring Operation: 71+34=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[71, 142], Operations: ['42+29=71', '54+88=142']
Exploring Operation: 142-71=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[42, 29, 54, 88], Operations: []
Exploring Operation: 42+29=71, Resulting Numbers: [54, 88, 71]
Generated Node #0,0: 71:[54, 88, 71] Operation: 42+29=71
Moving to Node #0,0
Current State: 71:[54, 88, 71], Operations: ['42+29=71']
Exploring Operation: 54+88=142, Resulting Numbers: [71, 142]
Generated Node #0,0,1: 71:[71, 142] Operation: 54+88=142
Moving to Node #0,0,1
Current State: 71:[71, 142], Operations: ['42+29=71', '54+88=142']
Exploring Operation: 142-71=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
mult_heuristic
|
[
99,
3,
5,
3
] | 88
|
[
"99-3=96",
"5+3=8",
"96-8=88"
] |
Current State: 88:[99, 3, 5, 3], Operations: []
Exploring Operation: 99-3=96, Resulting Numbers: [5, 96]
Generated Node #2: [5, 96] from Operation: 99-3=96
Current State: 88:[5, 96], Operations: ['99-3=96']
Exploring Operation: 5+3=8, Resulting Numbers: [96, 8]
Generated Node #3: [96, 8] from Operation: 5+3=8
Current State: 88:[96, 8], Operations: ['99-3=96', '5+3=8']
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
Current State: 88:[99, 3, 5, 3], Operations: []
Exploring Operation: 99-5=94, Resulting Numbers: [3, 3, 94]
Generated Node #0,0: 88:[3, 3, 94] Operation: 99-5=94
Exploring Operation: 99-3=96, Resulting Numbers: [5, 3, 96]
Generated Node #0,1: 88:[5, 3, 96] Operation: 99-3=96
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[3, 3, 94], Operations: ['99-5=94']
Exploring Operation: 94-3=91, Resulting Numbers: [3, 91]
Generated Node #0,0,0: 88:[3, 91] Operation: 94-3=91
Exploring Operation: 94-3=91, Resulting Numbers: [3, 91]
Generated Node #0,0,1: 88:[3, 91] Operation: 94-3=91
Moving to Node #0,0,0
Current State: 88:[3, 91], Operations: ['99-5=94', '94-3=91']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[99, 3, 5, 3], Operations: []
Exploring Operation: 99-5=94, Resulting Numbers: [3, 3, 94]
Generated Node #0,0: 88:[3, 3, 94] Operation: 99-5=94
Moving to Node #0,0
Current State: 88:[3, 3, 94], Operations: ['99-5=94']
Exploring Operation: 94-3=91, Resulting Numbers: [3, 91]
Generated Node #0,0,0: 88:[3, 91] Operation: 94-3=91
Moving to Node #0,0,0
Current State: 88:[3, 91], Operations: ['99-5=94', '94-3=91']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
93,
95,
38,
99
] | 51
|
[
"93+95=188",
"38+99=137",
"188-137=51"
] |
Current State: 51:[93, 95, 38, 99], Operations: []
Exploring Operation: 93+95=188, Resulting Numbers: [38, 99, 188]
Generated Node #2: [38, 99, 188] from Operation: 93+95=188
Current State: 51:[38, 99, 188], Operations: ['93+95=188']
Exploring Operation: 38+99=137, Resulting Numbers: [188, 137]
Generated Node #3: [188, 137] from Operation: 38+99=137
Current State: 51:[188, 137], Operations: ['93+95=188', '38+99=137']
Exploring Operation: 188-137=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
Current State: 51:[93, 95, 38, 99], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [95, 38, 6]
Generated Node #0,0: 51:[95, 38, 6] Operation: 99-93=6
Exploring Operation: 95-93=2, Resulting Numbers: [38, 99, 2]
Generated Node #0,1: 51:[38, 99, 2] Operation: 95-93=2
Exploring Operation: 93-38=55, Resulting Numbers: [95, 99, 55]
Generated Node #0,2: 51:[95, 99, 55] Operation: 93-38=55
Exploring Operation: 99-95=4, Resulting Numbers: [93, 38, 4]
Generated Node #0,3: 51:[93, 38, 4] Operation: 99-95=4
Exploring Operation: 95-38=57, Resulting Numbers: [93, 99, 57]
Generated Node #0,4: 51:[93, 99, 57] Operation: 95-38=57
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[93, 38, 4], Operations: ['99-95=4']
Exploring Operation: 38-4=34, Resulting Numbers: [93, 34]
Generated Node #0,3,0: 51:[93, 34] Operation: 38-4=34
Exploring Operation: 38+4=42, Resulting Numbers: [93, 42]
Generated Node #0,3,1: 51:[93, 42] Operation: 38+4=42
Exploring Operation: 93-4=89, Resulting Numbers: [38, 89]
Generated Node #0,3,2: 51:[38, 89] Operation: 93-4=89
Exploring Operation: 93+4=97, Resulting Numbers: [38, 97]
Generated Node #0,3,3: 51:[38, 97] Operation: 93+4=97
Exploring Operation: 93-38=55, Resulting Numbers: [4, 55]
Generated Node #0,3,4: 51:[4, 55] Operation: 93-38=55
Moving to Node #0,3,4
Current State: 51:[4, 55], Operations: ['99-95=4', '93-38=55']
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[93, 95, 38, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [93, 38, 4]
Generated Node #0,3: 51:[93, 38, 4] Operation: 99-95=4
Moving to Node #0,3
Current State: 51:[93, 38, 4], Operations: ['99-95=4']
Exploring Operation: 93-38=55, Resulting Numbers: [4, 55]
Generated Node #0,3,4: 51:[4, 55] Operation: 93-38=55
Moving to Node #0,3,4
Current State: 51:[4, 55], Operations: ['99-95=4', '93-38=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
mult_heuristic
|
[
14,
41,
67,
3
] | 37
|
[
"41-14=27",
"67-3=64",
"64-27=37"
] |
Current State: 37:[14, 41, 67, 3], Operations: []
Exploring Operation: 41-14=27, Resulting Numbers: [67, 3, 27]
Generated Node #2: [67, 3, 27] from Operation: 41-14=27
Current State: 37:[67, 3, 27], Operations: ['41-14=27']
Exploring Operation: 67-3=64, Resulting Numbers: [27, 64]
Generated Node #3: [27, 64] from Operation: 67-3=64
Current State: 37:[27, 64], Operations: ['41-14=27', '67-3=64']
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[14, 41, 67, 3], Operations: []
Exploring Operation: 14+3=17, Resulting Numbers: [41, 67, 17]
Generated Node #0,0: 37:[41, 67, 17] Operation: 14+3=17
Exploring Operation: 14*3=42, Resulting Numbers: [41, 67, 42]
Generated Node #0,1: 37:[41, 67, 42] Operation: 14*3=42
Exploring Operation: 41-3=38, Resulting Numbers: [14, 67, 38]
Generated Node #0,2: 37:[14, 67, 38] Operation: 41-3=38
Exploring Operation: 67-14=53, Resulting Numbers: [41, 3, 53]
Generated Node #0,3: 37:[41, 3, 53] Operation: 67-14=53
Moving to Node #0,1
Current State: 37:[41, 67, 42], Operations: ['14*3=42']
Exploring Operation: 67-42=25, Resulting Numbers: [41, 25]
Generated Node #0,1,0: 37:[41, 25] Operation: 67-42=25
Exploring Operation: 41+67=108, Resulting Numbers: [42, 108]
Generated Node #0,1,1: 37:[42, 108] Operation: 41+67=108
Exploring Operation: 67-41=26, Resulting Numbers: [42, 26]
Generated Node #0,1,2: 37:[42, 26] Operation: 67-41=26
Exploring Operation: 42-41=1, Resulting Numbers: [67, 1]
Generated Node #0,1,3: 37:[67, 1] Operation: 42-41=1
Moving to Node #0,2
Current State: 37:[14, 67, 38], Operations: ['41-3=38']
Exploring Operation: 38-14=24, Resulting Numbers: [67, 24]
Generated Node #0,2,0: 37:[67, 24] Operation: 38-14=24
Exploring Operation: 14+67=81, Resulting Numbers: [38, 81]
Generated Node #0,2,1: 37:[38, 81] Operation: 14+67=81
Exploring Operation: 67-14=53, Resulting Numbers: [38, 53]
Generated Node #0,2,2: 37:[38, 53] Operation: 67-14=53
Exploring Operation: 67-38=29, Resulting Numbers: [14, 29]
Generated Node #0,2,3: 37:[14, 29] Operation: 67-38=29
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[38, 53], Operations: ['41-3=38', '67-14=53']
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,37 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,37 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 37:[14, 29], Operations: ['41-3=38', '67-38=29']
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 14*29=406, Resulting Numbers: [406]
406,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[67, 24], Operations: ['41-3=38', '38-14=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,37 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[38, 81], Operations: ['41-3=38', '14+67=81']
Exploring Operation: 38*81=3078, Resulting Numbers: [3078]
3078,37 unequal: No Solution
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 38+81=119, Resulting Numbers: [119]
119,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 37:[41, 67, 17], Operations: ['14+3=17']
Exploring Operation: 67-41=26, Resulting Numbers: [17, 26]
Generated Node #0,0,0: 37:[17, 26] Operation: 67-41=26
Exploring Operation: 41+17=58, Resulting Numbers: [67, 58]
Generated Node #0,0,1: 37:[67, 58] Operation: 41+17=58
Exploring Operation: 67-17=50, Resulting Numbers: [41, 50]
Generated Node #0,0,2: 37:[41, 50] Operation: 67-17=50
Exploring Operation: 41-17=24, Resulting Numbers: [67, 24]
Generated Node #0,0,3: 37:[67, 24] Operation: 41-17=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[41, 50], Operations: ['14+3=17', '67-17=50']
Exploring Operation: 41+50=91, Resulting Numbers: [91]
91,37 unequal: No Solution
Exploring Operation: 50-41=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 41*50=2050, Resulting Numbers: [2050]
2050,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[17, 26], Operations: ['14+3=17', '67-41=26']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 37:[67, 24], Operations: ['14+3=17', '41-17=24']
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,37 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,37 unequal: No Solution
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[67, 58], Operations: ['14+3=17', '41+17=58']
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,37 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 37:[41, 3, 53], Operations: ['67-14=53']
Exploring Operation: 41-3=38, Resulting Numbers: [53, 38]
Generated Node #0,3,0: 37:[53, 38] Operation: 41-3=38
Exploring Operation: 41+3=44, Resulting Numbers: [53, 44]
Generated Node #0,3,1: 37:[53, 44] Operation: 41+3=44
Exploring Operation: 53-3=50, Resulting Numbers: [41, 50]
Generated Node #0,3,2: 37:[41, 50] Operation: 53-3=50
Exploring Operation: 3+53=56, Resulting Numbers: [41, 56]
Generated Node #0,3,3: 37:[41, 56] Operation: 3+53=56
Moving to Node #0,1,0
Current State: 37:[41, 25], Operations: ['14*3=42', '67-42=25']
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 41*25=1025, Resulting Numbers: [1025]
1025,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[42, 26], Operations: ['14*3=42', '67-41=26']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 42*26=1092, Resulting Numbers: [1092]
1092,37 unequal: No Solution
Moving to Node #0,3,2
Current State: 37:[41, 50], Operations: ['67-14=53', '53-3=50']
Exploring Operation: 41*50=2050, Resulting Numbers: [2050]
2050,37 unequal: No Solution
Exploring Operation: 50-41=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 41+50=91, Resulting Numbers: [91]
91,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[53, 38], Operations: ['67-14=53', '41-3=38']
Exploring Operation: 53*38=2014, Resulting Numbers: [2014]
2014,37 unequal: No Solution
Exploring Operation: 53+38=91, Resulting Numbers: [91]
91,37 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[53, 44], Operations: ['67-14=53', '41+3=44']
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Exploring Operation: 53*44=2332, Resulting Numbers: [2332]
2332,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[41, 56], Operations: ['67-14=53', '3+53=56']
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 41*56=2296, Resulting Numbers: [2296]
2296,37 unequal: No Solution
Exploring Operation: 41+56=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[67, 1], Operations: ['14*3=42', '42-41=1']
Exploring Operation: 67/1=67, Resulting Numbers: [67]
67,37 unequal: No Solution
Exploring Operation: 67+1=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,37 unequal: No Solution
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[42, 108], Operations: ['14*3=42', '41+67=108']
Exploring Operation: 42*108=4536, Resulting Numbers: [4536]
4536,37 unequal: No Solution
Exploring Operation: 42+108=150, Resulting Numbers: [150]
150,37 unequal: No Solution
Exploring Operation: 108-42=66, Resulting Numbers: [66]
66,37 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
61,
91,
37,
15
] | 52
|
[
"91-61=30",
"37-15=22",
"30+22=52"
] |
Current State: 52:[61, 91, 37, 15], Operations: []
Exploring Operation: 91-61=30, Resulting Numbers: [37, 15, 30]
Generated Node #2: [37, 15, 30] from Operation: 91-61=30
Current State: 52:[37, 15, 30], Operations: ['91-61=30']
Exploring Operation: 37-15=22, Resulting Numbers: [30, 22]
Generated Node #3: [30, 22] from Operation: 37-15=22
Current State: 52:[30, 22], Operations: ['91-61=30', '37-15=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
Current State: 52:[61, 91, 37, 15], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [61, 37, 76]
Generated Node #0,0: 52:[61, 37, 76] Operation: 91-15=76
Exploring Operation: 91-37=54, Resulting Numbers: [61, 15, 54]
Generated Node #0,1: 52:[61, 15, 54] Operation: 91-37=54
Exploring Operation: 91-61=30, Resulting Numbers: [37, 15, 30]
Generated Node #0,2: 52:[37, 15, 30] Operation: 91-61=30
Exploring Operation: 61-37=24, Resulting Numbers: [91, 15, 24]
Generated Node #0,3: 52:[91, 15, 24] Operation: 61-37=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[61, 15, 54], Operations: ['91-37=54']
Exploring Operation: 61-54=7, Resulting Numbers: [15, 7]
Generated Node #0,1,0: 52:[15, 7] Operation: 61-54=7
Exploring Operation: 61+15=76, Resulting Numbers: [54, 76]
Generated Node #0,1,1: 52:[54, 76] Operation: 61+15=76
Exploring Operation: 54-15=39, Resulting Numbers: [61, 39]
Generated Node #0,1,2: 52:[61, 39] Operation: 54-15=39
Exploring Operation: 61-15=46, Resulting Numbers: [54, 46]
Generated Node #0,1,3: 52:[54, 46] Operation: 61-15=46
Moving to Node #0,1,0
Current State: 52:[15, 7], Operations: ['91-37=54', '61-54=7']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[54, 46], Operations: ['91-37=54', '61-15=46']
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Exploring Operation: 54*46=2484, Resulting Numbers: [2484]
2484,52 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[61, 39], Operations: ['91-37=54', '54-15=39']
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 61*39=2379, Resulting Numbers: [2379]
2379,52 unequal: No Solution
Exploring Operation: 61+39=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[54, 76], Operations: ['91-37=54', '61+15=76']
Exploring Operation: 54+76=130, Resulting Numbers: [130]
130,52 unequal: No Solution
Exploring Operation: 54*76=4104, Resulting Numbers: [4104]
4104,52 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[37, 15, 30], Operations: ['91-61=30']
Exploring Operation: 37-30=7, Resulting Numbers: [15, 7]
Generated Node #0,2,0: 52:[15, 7] Operation: 37-30=7
Exploring Operation: 37+15=52, Resulting Numbers: [30, 52]
Generated Node #0,2,1: 52:[30, 52] Operation: 37+15=52
Exploring Operation: 37-15=22, Resulting Numbers: [30, 22]
Generated Node #0,2,2: 52:[30, 22] Operation: 37-15=22
Exploring Operation: 30/15=2, Resulting Numbers: [37, 2]
Generated Node #0,2,3: 52:[37, 2] Operation: 30/15=2
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 52:[30, 52], Operations: ['91-61=30', '37+15=52']
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,52 unequal: No Solution
Exploring Operation: 30*52=1560, Resulting Numbers: [1560]
1560,52 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[15, 7], Operations: ['91-61=30', '37-30=7']
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,52 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,52 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 52:[30, 22], Operations: ['91-61=30', '37-15=22']
Exploring Operation: 30*22=660, Resulting Numbers: [660]
660,52 unequal: No Solution
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[61, 91, 37, 15], Operations: []
Exploring Operation: 91-61=30, Resulting Numbers: [37, 15, 30]
Generated Node #0,2: 52:[37, 15, 30] Operation: 91-61=30
Moving to Node #0,2
Current State: 52:[37, 15, 30], Operations: ['91-61=30']
Exploring Operation: 37-15=22, Resulting Numbers: [30, 22]
Generated Node #0,2,2: 52:[30, 22] Operation: 37-15=22
Moving to Node #0,2,2
Current State: 52:[30, 22], Operations: ['91-61=30', '37-15=22']
Exploring Operation: 30+22=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875
|
hs_4
|
sum_heuristic
|
[
81,
53,
51,
69
] | 93
|
[
"53-51=2",
"81*2=162",
"162-69=93"
] |
Current State: 93:[81, 53, 51, 69], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [81, 69, 2]
Generated Node #2: [81, 69, 2] from Operation: 53-51=2
Current State: 93:[81, 69, 2], Operations: ['53-51=2']
Exploring Operation: 81*2=162, Resulting Numbers: [69, 162]
Generated Node #3: [69, 162] from Operation: 81*2=162
Current State: 93:[69, 162], Operations: ['53-51=2', '81*2=162']
Exploring Operation: 162-69=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
Current State: 93:[81, 53, 51, 69], Operations: []
Exploring Operation: 69-53=16, Resulting Numbers: [81, 51, 16]
Generated Node #0,0: 93:[81, 51, 16] Operation: 69-53=16
Exploring Operation: 53-51=2, Resulting Numbers: [81, 69, 2]
Generated Node #0,1: 93:[81, 69, 2] Operation: 53-51=2
Moving to Node #0,1
Current State: 93:[81, 69, 2], Operations: ['53-51=2']
Exploring Operation: 81+2=83, Resulting Numbers: [69, 83]
Generated Node #0,1,0: 93:[69, 83] Operation: 81+2=83
Exploring Operation: 81-69=12, Resulting Numbers: [2, 12]
Generated Node #0,1,1: 93:[2, 12] Operation: 81-69=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[2, 12], Operations: ['53-51=2', '81-69=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[69, 83], Operations: ['53-51=2', '81+2=83']
Exploring Operation: 83-69=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 69+83=152, Resulting Numbers: [152]
152,93 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: 93:[81, 51, 16], Operations: ['69-53=16']
Exploring Operation: 81-51=30, Resulting Numbers: [16, 30]
Generated Node #0,0,0: 93:[16, 30] Operation: 81-51=30
Exploring Operation: 51-16=35, Resulting Numbers: [81, 35]
Generated Node #0,0,1: 93:[81, 35] Operation: 51-16=35
Moving to Node #0,0,0
Current State: 93:[16, 30], Operations: ['69-53=16', '81-51=30']
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[81, 35], Operations: ['69-53=16', '51-16=35']
Exploring Operation: 81+35=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,93 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
77,
56,
44,
68
] | 63
|
[
"77*68=5236",
"5236/44=119",
"119-56=63"
] |
Current State: 63:[77, 56, 44, 68], Operations: []
Exploring Operation: 77*68=5236, Resulting Numbers: [56, 44, 5236]
Generated Node #2: [56, 44, 5236] from Operation: 77*68=5236
Current State: 63:[56, 44, 5236], Operations: ['77*68=5236']
Exploring Operation: 5236/44=119, Resulting Numbers: [56, 119]
Generated Node #3: [56, 119] from Operation: 5236/44=119
Current State: 63:[56, 119], Operations: ['77*68=5236', '5236/44=119']
Exploring Operation: 119-56=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[77, 56, 44, 68], Operations: []
Exploring Operation: 77-56=21, Resulting Numbers: [44, 68, 21]
Generated Node #0,0: 63:[44, 68, 21] Operation: 77-56=21
Exploring Operation: 56-44=12, Resulting Numbers: [77, 68, 12]
Generated Node #0,1: 63:[77, 68, 12] Operation: 56-44=12
Moving to Node #0,1
Current State: 63:[77, 68, 12], Operations: ['56-44=12']
Exploring Operation: 77-12=65, Resulting Numbers: [68, 65]
Generated Node #0,1,0: 63:[68, 65] Operation: 77-12=65
Exploring Operation: 77-68=9, Resulting Numbers: [12, 9]
Generated Node #0,1,1: 63:[12, 9] Operation: 77-68=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[12, 9], Operations: ['56-44=12', '77-68=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[68, 65], Operations: ['56-44=12', '77-12=65']
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 68+65=133, Resulting Numbers: [133]
133,63 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: 63:[44, 68, 21], Operations: ['77-56=21']
Exploring Operation: 44+21=65, Resulting Numbers: [68, 65]
Generated Node #0,0,0: 63:[68, 65] Operation: 44+21=65
Exploring Operation: 68-44=24, Resulting Numbers: [21, 24]
Generated Node #0,0,1: 63:[21, 24] Operation: 68-44=24
Moving to Node #0,0,1
Current State: 63:[21, 24], Operations: ['77-56=21', '68-44=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[68, 65], Operations: ['77-56=21', '44+21=65']
Exploring Operation: 68+65=133, Resulting Numbers: [133]
133,63 unequal: No Solution
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
22,
77,
69,
46
] | 77
|
[
"69-22=47",
"47-46=1",
"77*1=77"
] |
Current State: 77:[22, 77, 69, 46], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [77, 46, 47]
Generated Node #2: [77, 46, 47] from Operation: 69-22=47
Current State: 77:[77, 46, 47], Operations: ['69-22=47']
Exploring Operation: 47-46=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 47-46=1
Current State: 77:[77, 1], Operations: ['69-22=47', '47-46=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[22, 77, 69, 46], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [22, 77, 23]
Generated Node #0,0: 77:[22, 77, 23] Operation: 69-46=23
Exploring Operation: 22+46=68, Resulting Numbers: [77, 69, 68]
Generated Node #0,1: 77:[77, 69, 68] Operation: 22+46=68
Exploring Operation: 46-22=24, Resulting Numbers: [77, 69, 24]
Generated Node #0,2: 77:[77, 69, 24] Operation: 46-22=24
Exploring Operation: 77-46=31, Resulting Numbers: [22, 69, 31]
Generated Node #0,3: 77:[22, 69, 31] Operation: 77-46=31
Moving to Node #0,1
Current State: 77:[77, 69, 68], Operations: ['22+46=68']
Exploring Operation: 77-68=9, Resulting Numbers: [69, 9]
Generated Node #0,1,0: 77:[69, 9] Operation: 77-68=9
Exploring Operation: 77-69=8, Resulting Numbers: [68, 8]
Generated Node #0,1,1: 77:[68, 8] Operation: 77-69=8
Exploring Operation: 69+68=137, Resulting Numbers: [77, 137]
Generated Node #0,1,2: 77:[77, 137] Operation: 69+68=137
Exploring Operation: 69-68=1, Resulting Numbers: [77, 1]
Generated Node #0,1,3: 77:[77, 1] Operation: 69-68=1
Moving to Node #0,2
Current State: 77:[77, 69, 24], Operations: ['46-22=24']
Exploring Operation: 77-24=53, Resulting Numbers: [69, 53]
Generated Node #0,2,0: 77:[69, 53] Operation: 77-24=53
Exploring Operation: 69+24=93, Resulting Numbers: [77, 93]
Generated Node #0,2,1: 77:[77, 93] Operation: 69+24=93
Exploring Operation: 77+24=101, Resulting Numbers: [69, 101]
Generated Node #0,2,2: 77:[69, 101] Operation: 77+24=101
Exploring Operation: 77-69=8, Resulting Numbers: [24, 8]
Generated Node #0,2,3: 77:[24, 8] Operation: 77-69=8
Moving to Node #0,0
Current State: 77:[22, 77, 23], Operations: ['69-46=23']
Exploring Operation: 22+23=45, Resulting Numbers: [77, 45]
Generated Node #0,0,0: 77:[77, 45] Operation: 22+23=45
Exploring Operation: 23-22=1, Resulting Numbers: [77, 1]
Generated Node #0,0,1: 77:[77, 1] Operation: 23-22=1
Exploring Operation: 22+77=99, Resulting Numbers: [23, 99]
Generated Node #0,0,2: 77:[23, 99] Operation: 22+77=99
Exploring Operation: 77-22=55, Resulting Numbers: [23, 55]
Generated Node #0,0,3: 77:[23, 55] Operation: 77-22=55
Moving to Node #0,3
Current State: 77:[22, 69, 31], Operations: ['77-46=31']
Exploring Operation: 22+69=91, Resulting Numbers: [31, 91]
Generated Node #0,3,0: 77:[31, 91] Operation: 22+69=91
Exploring Operation: 69+31=100, Resulting Numbers: [22, 100]
Generated Node #0,3,1: 77:[22, 100] Operation: 69+31=100
Exploring Operation: 31-22=9, Resulting Numbers: [69, 9]
Generated Node #0,3,2: 77:[69, 9] Operation: 31-22=9
Exploring Operation: 22+31=53, Resulting Numbers: [69, 53]
Generated Node #0,3,3: 77:[69, 53] Operation: 22+31=53
Moving to Node #0,1,3
Current State: 77:[77, 1], Operations: ['22+46=68', '69-68=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[22, 77, 69, 46], Operations: []
Exploring Operation: 22+46=68, Resulting Numbers: [77, 69, 68]
Generated Node #0,1: 77:[77, 69, 68] Operation: 22+46=68
Moving to Node #0,1
Current State: 77:[77, 69, 68], Operations: ['22+46=68']
Exploring Operation: 69-68=1, Resulting Numbers: [77, 1]
Generated Node #0,1,3: 77:[77, 1] Operation: 69-68=1
Moving to Node #0,1,3
Current State: 77:[77, 1], Operations: ['22+46=68', '69-68=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.978299
|
hs_4
|
mult_heuristic
|
[
26,
41,
27,
86
] | 45
|
[
"27-26=1",
"86-41=45",
"1*45=45"
] |
Current State: 45:[26, 41, 27, 86], Operations: []
Exploring Operation: 27-26=1, Resulting Numbers: [41, 86, 1]
Generated Node #2: [41, 86, 1] from Operation: 27-26=1
Current State: 45:[41, 86, 1], Operations: ['27-26=1']
Exploring Operation: 86-41=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 86-41=45
Current State: 45:[1, 45], Operations: ['27-26=1', '86-41=45']
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[26, 41, 27, 86], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [26, 27, 45]
Generated Node #0,0: 45:[26, 27, 45] Operation: 86-41=45
Moving to Node #0,0
Current State: 45:[26, 27, 45], Operations: ['86-41=45']
Exploring Operation: 27-26=1, Resulting Numbers: [45, 1]
Generated Node #0,0,0: 45:[45, 1] Operation: 27-26=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[45, 1], Operations: ['86-41=45', '27-26=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[26, 41, 27, 86], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [26, 27, 45]
Generated Node #0,0: 45:[26, 27, 45] Operation: 86-41=45
Moving to Node #0,0
Current State: 45:[26, 27, 45], Operations: ['86-41=45']
Exploring Operation: 27-26=1, Resulting Numbers: [45, 1]
Generated Node #0,0,0: 45:[45, 1] Operation: 27-26=1
Moving to Node #0,0,0
Current State: 45:[45, 1], Operations: ['86-41=45', '27-26=1']
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
15,
10,
75,
52
] | 49
|
[
"15+10=25",
"75/25=3",
"52-3=49"
] |
Current State: 49:[15, 10, 75, 52], Operations: []
Exploring Operation: 15+10=25, Resulting Numbers: [75, 52, 25]
Generated Node #2: [75, 52, 25] from Operation: 15+10=25
Current State: 49:[75, 52, 25], Operations: ['15+10=25']
Exploring Operation: 75/25=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 75/25=3
Current State: 49:[52, 3], Operations: ['15+10=25', '75/25=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[15, 10, 75, 52], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [75, 52, 5]
Generated Node #0,0: 49:[75, 52, 5] Operation: 15-10=5
Exploring Operation: 75-52=23, Resulting Numbers: [15, 10, 23]
Generated Node #0,1: 49:[15, 10, 23] Operation: 75-52=23
Exploring Operation: 75-10=65, Resulting Numbers: [15, 52, 65]
Generated Node #0,2: 49:[15, 52, 65] Operation: 75-10=65
Exploring Operation: 75-15=60, Resulting Numbers: [10, 52, 60]
Generated Node #0,3: 49:[10, 52, 60] Operation: 75-15=60
Exploring Operation: 75/15=5, Resulting Numbers: [10, 52, 5]
Generated Node #0,4: 49:[10, 52, 5] Operation: 75/15=5
Moving to Node #0,4
Current State: 49:[10, 52, 5], Operations: ['75/15=5']
Exploring Operation: 52-5=47, Resulting Numbers: [10, 47]
Generated Node #0,4,0: 49:[10, 47] Operation: 52-5=47
Exploring Operation: 10*5=50, Resulting Numbers: [52, 50]
Generated Node #0,4,1: 49:[52, 50] Operation: 10*5=50
Exploring Operation: 10-5=5, Resulting Numbers: [52, 5]
Generated Node #0,4,2: 49:[52, 5] Operation: 10-5=5
Exploring Operation: 10/5=2, Resulting Numbers: [52, 2]
Generated Node #0,4,3: 49:[52, 2] Operation: 10/5=2
Exploring Operation: 52-10=42, Resulting Numbers: [5, 42]
Generated Node #0,4,4: 49:[5, 42] Operation: 52-10=42
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 49:[52, 50], Operations: ['75/15=5', '10*5=50']
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,49 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 #0,4,0
Current State: 49:[10, 47], Operations: ['75/15=5', '52-5=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 10*47=470, Resulting Numbers: [470]
470,49 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 #0,4,2
Current State: 49:[52, 5], Operations: ['75/15=5', '10-5=5']
Exploring Operation: 52*5=260, Resulting Numbers: [260]
260,49 unequal: No Solution
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,49 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 #0,4,3
Current State: 49:[52, 2], Operations: ['75/15=5', '10/5=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,49 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,49 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 #0,4,4
Current State: 49:[5, 42], Operations: ['75/15=5', '52-10=42']
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 49:[10, 52, 60], Operations: ['75-15=60']
Exploring Operation: 60-52=8, Resulting Numbers: [10, 8]
Generated Node #0,3,0: 49:[10, 8] Operation: 60-52=8
Exploring Operation: 10+52=62, Resulting Numbers: [60, 62]
Generated Node #0,3,1: 49:[60, 62] Operation: 10+52=62
Exploring Operation: 60/10=6, Resulting Numbers: [52, 6]
Generated Node #0,3,2: 49:[52, 6] Operation: 60/10=6
Exploring Operation: 60-10=50, Resulting Numbers: [52, 50]
Generated Node #0,3,3: 49:[52, 50] Operation: 60-10=50
Exploring Operation: 52-10=42, Resulting Numbers: [60, 42]
Generated Node #0,3,4: 49:[60, 42] Operation: 52-10=42
Moving to Node #0,1
Current State: 49:[15, 10, 23], Operations: ['75-52=23']
Exploring Operation: 15-10=5, Resulting Numbers: [23, 5]
Generated Node #0,1,0: 49:[23, 5] Operation: 15-10=5
Exploring Operation: 10+23=33, Resulting Numbers: [15, 33]
Generated Node #0,1,1: 49:[15, 33] Operation: 10+23=33
Exploring Operation: 23-10=13, Resulting Numbers: [15, 13]
Generated Node #0,1,2: 49:[15, 13] Operation: 23-10=13
Exploring Operation: 23-15=8, Resulting Numbers: [10, 8]
Generated Node #0,1,3: 49:[10, 8] Operation: 23-15=8
Exploring Operation: 15+23=38, Resulting Numbers: [10, 38]
Generated Node #0,1,4: 49:[10, 38] Operation: 15+23=38
Moving to Node #0,2
Current State: 49:[15, 52, 65], Operations: ['75-10=65']
Exploring Operation: 65-52=13, Resulting Numbers: [15, 13]
Generated Node #0,2,0: 49:[15, 13] Operation: 65-52=13
Exploring Operation: 65-15=50, Resulting Numbers: [52, 50]
Generated Node #0,2,1: 49:[52, 50] Operation: 65-15=50
Exploring Operation: 15+65=80, Resulting Numbers: [52, 80]
Generated Node #0,2,2: 49:[52, 80] Operation: 15+65=80
Exploring Operation: 52-15=37, Resulting Numbers: [65, 37]
Generated Node #0,2,3: 49:[65, 37] Operation: 52-15=37
Exploring Operation: 15+52=67, Resulting Numbers: [65, 67]
Generated Node #0,2,4: 49:[65, 67] Operation: 15+52=67
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[52, 50], Operations: ['75-10=65', '65-15=50']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,49 unequal: No Solution
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[15, 13], Operations: ['75-10=65', '65-52=13']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,49 unequal: No Solution
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 49:[65, 37], Operations: ['75-10=65', '52-15=37']
Exploring Operation: 65+37=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Exploring Operation: 65*37=2405, Resulting Numbers: [2405]
2405,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[52, 80], Operations: ['75-10=65', '15+65=80']
Exploring Operation: 52+80=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Exploring Operation: 52*80=4160, Resulting Numbers: [4160]
4160,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 49:[65, 67], Operations: ['75-10=65', '15+52=67']
Exploring Operation: 65*67=4355, Resulting Numbers: [4355]
4355,49 unequal: No Solution
Exploring Operation: 65+67=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,49 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: 49:[75, 52, 5], Operations: ['15-10=5']
Exploring Operation: 75-5=70, Resulting Numbers: [52, 70]
Generated Node #0,0,0: 49:[52, 70] Operation: 75-5=70
Exploring Operation: 52-5=47, Resulting Numbers: [75, 47]
Generated Node #0,0,1: 49:[75, 47] Operation: 52-5=47
Exploring Operation: 75-52=23, Resulting Numbers: [5, 23]
Generated Node #0,0,2: 49:[5, 23] Operation: 75-52=23
Exploring Operation: 75+5=80, Resulting Numbers: [52, 80]
Generated Node #0,0,3: 49:[52, 80] Operation: 75+5=80
Exploring Operation: 75/5=15, Resulting Numbers: [52, 15]
Generated Node #0,0,4: 49:[52, 15] Operation: 75/5=15
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 49:[52, 15], Operations: ['15-10=5', '75/5=15']
Exploring Operation: 52*15=780, Resulting Numbers: [780]
780,49 unequal: No Solution
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[5, 23], Operations: ['15-10=5', '75-52=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[52, 70], Operations: ['15-10=5', '75-5=70']
Exploring Operation: 52+70=122, Resulting Numbers: [122]
122,49 unequal: No Solution
Exploring Operation: 52*70=3640, Resulting Numbers: [3640]
3640,49 unequal: No Solution
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[75, 47], Operations: ['15-10=5', '52-5=47']
Exploring Operation: 75+47=122, Resulting Numbers: [122]
122,49 unequal: No Solution
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Exploring Operation: 75*47=3525, Resulting Numbers: [3525]
3525,49 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 #0,0,3
Current State: 49:[52, 80], Operations: ['15-10=5', '75+5=80']
Exploring Operation: 52+80=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 52*80=4160, Resulting Numbers: [4160]
4160,49 unequal: No Solution
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,49 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: 49:[10, 8], Operations: ['75-15=60', '60-52=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,49 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[52, 50], Operations: ['75-15=60', '60-10=50']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[10, 8], Operations: ['75-52=23', '23-15=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,49 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[52, 6], Operations: ['75-15=60', '60/10=6']
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,49 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[15, 13], Operations: ['75-52=23', '23-10=13']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,49 unequal: No Solution
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Moving to Node #0,1,4
Current State: 49:[10, 38], Operations: ['75-52=23', '15+23=38']
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,49 unequal: No Solution
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[23, 5], Operations: ['75-52=23', '15-10=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,49 unequal: No Solution
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Moving to Node #0,3,4
Current State: 49:[60, 42], Operations: ['75-15=60', '52-10=42']
Exploring Operation: 60+42=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 60*42=2520, Resulting Numbers: [2520]
2520,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[15, 33], Operations: ['75-52=23', '10+23=33']
Exploring Operation: 15*33=495, Resulting Numbers: [495]
495,49 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[60, 62], Operations: ['75-15=60', '10+52=62']
Exploring Operation: 60*62=3720, Resulting Numbers: [3720]
3720,49 unequal: No Solution
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 60+62=122, Resulting Numbers: [122]
122,49 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
17,
94,
62,
98
] | 49
|
[
"17+94=111",
"62+98=160",
"160-111=49"
] |
Current State: 49:[17, 94, 62, 98], Operations: []
Exploring Operation: 17+94=111, Resulting Numbers: [62, 98, 111]
Generated Node #2: [62, 98, 111] from Operation: 17+94=111
Current State: 49:[62, 98, 111], Operations: ['17+94=111']
Exploring Operation: 62+98=160, Resulting Numbers: [111, 160]
Generated Node #3: [111, 160] from Operation: 62+98=160
Current State: 49:[111, 160], Operations: ['17+94=111', '62+98=160']
Exploring Operation: 160-111=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[17, 94, 62, 98], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [17, 62, 4]
Generated Node #0,0: 49:[17, 62, 4] Operation: 98-94=4
Exploring Operation: 94-62=32, Resulting Numbers: [17, 98, 32]
Generated Node #0,1: 49:[17, 98, 32] Operation: 94-62=32
Exploring Operation: 98-62=36, Resulting Numbers: [17, 94, 36]
Generated Node #0,2: 49:[17, 94, 36] Operation: 98-62=36
Moving to Node #0,0
Current State: 49:[17, 62, 4], Operations: ['98-94=4']
Exploring Operation: 62-4=58, Resulting Numbers: [17, 58]
Generated Node #0,0,0: 49:[17, 58] Operation: 62-4=58
Exploring Operation: 62-17=45, Resulting Numbers: [4, 45]
Generated Node #0,0,1: 49:[4, 45] Operation: 62-17=45
Exploring Operation: 17-4=13, Resulting Numbers: [62, 13]
Generated Node #0,0,2: 49:[62, 13] Operation: 17-4=13
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[4, 45], Operations: ['98-94=4', '62-17=45']
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,49 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[17, 94, 62, 98], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [17, 62, 4]
Generated Node #0,0: 49:[17, 62, 4] Operation: 98-94=4
Moving to Node #0,0
Current State: 49:[17, 62, 4], Operations: ['98-94=4']
Exploring Operation: 62-17=45, Resulting Numbers: [4, 45]
Generated Node #0,0,1: 49:[4, 45] Operation: 62-17=45
Moving to Node #0,0,1
Current State: 49:[4, 45], Operations: ['98-94=4', '62-17=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
sum_heuristic
|
[
81,
60,
36,
39
] | 70
|
[
"81-39=42",
"60*42=2520",
"2520/36=70"
] |
Current State: 70:[81, 60, 36, 39], Operations: []
Exploring Operation: 81-39=42, Resulting Numbers: [60, 36, 42]
Generated Node #2: [60, 36, 42] from Operation: 81-39=42
Current State: 70:[60, 36, 42], Operations: ['81-39=42']
Exploring Operation: 60*42=2520, Resulting Numbers: [36, 2520]
Generated Node #3: [36, 2520] from Operation: 60*42=2520
Current State: 70:[36, 2520], Operations: ['81-39=42', '60*42=2520']
Exploring Operation: 2520/36=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[81, 60, 36, 39], Operations: []
Exploring Operation: 81-39=42, Resulting Numbers: [60, 36, 42]
Generated Node #0,0: 70:[60, 36, 42] Operation: 81-39=42
Exploring Operation: 81-60=21, Resulting Numbers: [36, 39, 21]
Generated Node #0,1: 70:[36, 39, 21] Operation: 81-60=21
Moving to Node #0,1
Current State: 70:[36, 39, 21], Operations: ['81-60=21']
Exploring Operation: 39-21=18, Resulting Numbers: [36, 18]
Generated Node #0,1,0: 70:[36, 18] Operation: 39-21=18
Exploring Operation: 36-21=15, Resulting Numbers: [39, 15]
Generated Node #0,1,1: 70:[39, 15] Operation: 36-21=15
Moving to Node #0,0
Current State: 70:[60, 36, 42], Operations: ['81-39=42']
Exploring Operation: 42-36=6, Resulting Numbers: [60, 6]
Generated Node #0,0,0: 70:[60, 6] Operation: 42-36=6
Exploring Operation: 60-42=18, Resulting Numbers: [36, 18]
Generated Node #0,0,1: 70:[36, 18] Operation: 60-42=18
Moving to Node #0,1,0
Current State: 70:[36, 18], Operations: ['81-60=21', '39-21=18']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[36, 18], Operations: ['81-39=42', '60-42=18']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[39, 15], Operations: ['81-60=21', '36-21=15']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[60, 6], Operations: ['81-39=42', '42-36=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,70 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
18,
96,
35,
2
] | 70
|
[
"18/2=9",
"96-35=61",
"9+61=70"
] |
Current State: 70:[18, 96, 35, 2], Operations: []
Exploring Operation: 18/2=9, Resulting Numbers: [96, 35, 9]
Generated Node #2: [96, 35, 9] from Operation: 18/2=9
Current State: 70:[96, 35, 9], Operations: ['18/2=9']
Exploring Operation: 96-35=61, Resulting Numbers: [9, 61]
Generated Node #3: [9, 61] from Operation: 96-35=61
Current State: 70:[9, 61], Operations: ['18/2=9', '96-35=61']
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[18, 96, 35, 2], Operations: []
Exploring Operation: 96-18=78, Resulting Numbers: [35, 2, 78]
Generated Node #0,0: 70:[35, 2, 78] Operation: 96-18=78
Exploring Operation: 96/2=48, Resulting Numbers: [18, 35, 48]
Generated Node #0,1: 70:[18, 35, 48] Operation: 96/2=48
Exploring Operation: 18*2=36, Resulting Numbers: [96, 35, 36]
Generated Node #0,2: 70:[96, 35, 36] Operation: 18*2=36
Exploring Operation: 18/2=9, Resulting Numbers: [96, 35, 9]
Generated Node #0,3: 70:[96, 35, 9] Operation: 18/2=9
Exploring Operation: 96-35=61, Resulting Numbers: [18, 2, 61]
Generated Node #0,4: 70:[18, 2, 61] Operation: 96-35=61
Moving to Node #0,0
Current State: 70:[35, 2, 78], Operations: ['96-18=78']
Exploring Operation: 78-35=43, Resulting Numbers: [2, 43]
Generated Node #0,0,0: 70:[2, 43] Operation: 78-35=43
Exploring Operation: 78-2=76, Resulting Numbers: [35, 76]
Generated Node #0,0,1: 70:[35, 76] Operation: 78-2=76
Exploring Operation: 35+2=37, Resulting Numbers: [78, 37]
Generated Node #0,0,2: 70:[78, 37] Operation: 35+2=37
Exploring Operation: 35*2=70, Resulting Numbers: [78, 70]
Generated Node #0,0,3: 70:[78, 70] Operation: 35*2=70
Exploring Operation: 78/2=39, Resulting Numbers: [35, 39]
Generated Node #0,0,4: 70:[35, 39] Operation: 78/2=39
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 70:[35, 39], Operations: ['96-18=78', '78/2=39']
Exploring Operation: 35*39=1365, Resulting Numbers: [1365]
1365,70 unequal: No Solution
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[35, 76], Operations: ['96-18=78', '78-2=76']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 35*76=2660, Resulting Numbers: [2660]
2660,70 unequal: No Solution
Exploring Operation: 35+76=111, Resulting Numbers: [111]
111,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[2, 43], Operations: ['96-18=78', '78-35=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,70 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[78, 70], Operations: ['96-18=78', '35*2=70']
Exploring Operation: 78-70=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 78+70=148, Resulting Numbers: [148]
148,70 unequal: No Solution
Exploring Operation: 78*70=5460, Resulting Numbers: [5460]
5460,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[78, 37], Operations: ['96-18=78', '35+2=37']
Exploring Operation: 78*37=2886, Resulting Numbers: [2886]
2886,70 unequal: No Solution
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 78+37=115, Resulting Numbers: [115]
115,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 70:[18, 2, 61], Operations: ['96-35=61']
Exploring Operation: 18*2=36, Resulting Numbers: [61, 36]
Generated Node #0,4,0: 70:[61, 36] Operation: 18*2=36
Exploring Operation: 18/2=9, Resulting Numbers: [61, 9]
Generated Node #0,4,1: 70:[61, 9] Operation: 18/2=9
Exploring Operation: 18-2=16, Resulting Numbers: [61, 16]
Generated Node #0,4,2: 70:[61, 16] Operation: 18-2=16
Exploring Operation: 18+61=79, Resulting Numbers: [2, 79]
Generated Node #0,4,3: 70:[2, 79] Operation: 18+61=79
Exploring Operation: 61-18=43, Resulting Numbers: [2, 43]
Generated Node #0,4,4: 70:[2, 43] Operation: 61-18=43
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 70:[2, 43], Operations: ['96-35=61', '61-18=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,70 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 70:[2, 79], Operations: ['96-35=61', '18+61=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,70 unequal: No Solution
Exploring Operation: 2*79=158, Resulting Numbers: [158]
158,70 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 70:[61, 36], Operations: ['96-35=61', '18*2=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,70 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,70 unequal: No Solution
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 70:[61, 9], Operations: ['96-35=61', '18/2=9']
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,70 unequal: No Solution
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[18, 96, 35, 2], Operations: []
Exploring Operation: 96-35=61, Resulting Numbers: [18, 2, 61]
Generated Node #0,4: 70:[18, 2, 61] Operation: 96-35=61
Moving to Node #0,4
Current State: 70:[18, 2, 61], Operations: ['96-35=61']
Exploring Operation: 18/2=9, Resulting Numbers: [61, 9]
Generated Node #0,4,1: 70:[61, 9] Operation: 18/2=9
Moving to Node #0,4,1
Current State: 70:[61, 9], Operations: ['96-35=61', '18/2=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938
|
hs_5
|
sum_heuristic
|
[
84,
5,
33,
87
] | 55
|
[
"87-84=3",
"5*33=165",
"165/3=55"
] |
Current State: 55:[84, 5, 33, 87], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [5, 33, 3]
Generated Node #2: [5, 33, 3] from Operation: 87-84=3
Current State: 55:[5, 33, 3], Operations: ['87-84=3']
Exploring Operation: 5*33=165, Resulting Numbers: [3, 165]
Generated Node #3: [3, 165] from Operation: 5*33=165
Current State: 55:[3, 165], Operations: ['87-84=3', '5*33=165']
Exploring Operation: 165/3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
Current State: 55:[84, 5, 33, 87], Operations: []
Exploring Operation: 84-33=51, Resulting Numbers: [5, 87, 51]
Generated Node #0,0: 55:[5, 87, 51] Operation: 84-33=51
Exploring Operation: 84-5=79, Resulting Numbers: [33, 87, 79]
Generated Node #0,1: 55:[33, 87, 79] Operation: 84-5=79
Exploring Operation: 87-84=3, Resulting Numbers: [5, 33, 3]
Generated Node #0,2: 55:[5, 33, 3] Operation: 87-84=3
Exploring Operation: 87-33=54, Resulting Numbers: [84, 5, 54]
Generated Node #0,3: 55:[84, 5, 54] Operation: 87-33=54
Moving to Node #0,2
Current State: 55:[5, 33, 3], Operations: ['87-84=3']
Exploring Operation: 33-5=28, Resulting Numbers: [3, 28]
Generated Node #0,2,0: 55:[3, 28] Operation: 33-5=28
Exploring Operation: 5+33=38, Resulting Numbers: [3, 38]
Generated Node #0,2,1: 55:[3, 38] Operation: 5+33=38
Exploring Operation: 33+3=36, Resulting Numbers: [5, 36]
Generated Node #0,2,2: 55:[5, 36] Operation: 33+3=36
Exploring Operation: 33/3=11, Resulting Numbers: [5, 11]
Generated Node #0,2,3: 55:[5, 11] Operation: 33/3=11
Moving to Node #0,3
Current State: 55:[84, 5, 54], Operations: ['87-33=54']
Exploring Operation: 84-5=79, Resulting Numbers: [54, 79]
Generated Node #0,3,0: 55:[54, 79] Operation: 84-5=79
Exploring Operation: 84+5=89, Resulting Numbers: [54, 89]
Generated Node #0,3,1: 55:[54, 89] Operation: 84+5=89
Exploring Operation: 84-54=30, Resulting Numbers: [5, 30]
Generated Node #0,3,2: 55:[5, 30] Operation: 84-54=30
Exploring Operation: 5+54=59, Resulting Numbers: [84, 59]
Generated Node #0,3,3: 55:[84, 59] Operation: 5+54=59
Moving to Node #0,0
Current State: 55:[5, 87, 51], Operations: ['84-33=51']
Exploring Operation: 87-51=36, Resulting Numbers: [5, 36]
Generated Node #0,0,0: 55:[5, 36] Operation: 87-51=36
Exploring Operation: 87-5=82, Resulting Numbers: [51, 82]
Generated Node #0,0,1: 55:[51, 82] Operation: 87-5=82
Exploring Operation: 5+51=56, Resulting Numbers: [87, 56]
Generated Node #0,0,2: 55:[87, 56] Operation: 5+51=56
Exploring Operation: 5+87=92, Resulting Numbers: [51, 92]
Generated Node #0,0,3: 55:[51, 92] Operation: 5+87=92
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[5, 36], Operations: ['84-33=51', '87-51=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,55 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[51, 82], Operations: ['84-33=51', '87-5=82']
Exploring Operation: 51+82=133, Resulting Numbers: [133]
133,55 unequal: No Solution
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 51*82=4182, Resulting Numbers: [4182]
4182,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[87, 56], Operations: ['84-33=51', '5+51=56']
Exploring Operation: 87*56=4872, Resulting Numbers: [4872]
4872,55 unequal: No Solution
Exploring Operation: 87+56=143, Resulting Numbers: [143]
143,55 unequal: No Solution
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 55:[51, 92], Operations: ['84-33=51', '5+87=92']
Exploring Operation: 51*92=4692, Resulting Numbers: [4692]
4692,55 unequal: No Solution
Exploring Operation: 51+92=143, Resulting Numbers: [143]
143,55 unequal: No Solution
Exploring Operation: 92-51=41, Resulting Numbers: [41]
41,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 55:[33, 87, 79], Operations: ['84-5=79']
Exploring Operation: 87-33=54, Resulting Numbers: [79, 54]
Generated Node #0,1,0: 55:[79, 54] Operation: 87-33=54
Exploring Operation: 87-79=8, Resulting Numbers: [33, 8]
Generated Node #0,1,1: 55:[33, 8] Operation: 87-79=8
Exploring Operation: 33+87=120, Resulting Numbers: [79, 120]
Generated Node #0,1,2: 55:[79, 120] Operation: 33+87=120
Exploring Operation: 79-33=46, Resulting Numbers: [87, 46]
Generated Node #0,1,3: 55:[87, 46] Operation: 79-33=46
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[79, 54], Operations: ['84-5=79', '87-33=54']
Exploring Operation: 79+54=133, Resulting Numbers: [133]
133,55 unequal: No Solution
Exploring Operation: 79*54=4266, Resulting Numbers: [4266]
4266,55 unequal: No Solution
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[33, 8], Operations: ['84-5=79', '87-79=8']
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[87, 46], Operations: ['84-5=79', '79-33=46']
Exploring Operation: 87+46=133, Resulting Numbers: [133]
133,55 unequal: No Solution
Exploring Operation: 87-46=41, Resulting Numbers: [41]
41,55 unequal: No Solution
Exploring Operation: 87*46=4002, Resulting Numbers: [4002]
4002,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[79, 120], Operations: ['84-5=79', '33+87=120']
Exploring Operation: 79+120=199, Resulting Numbers: [199]
199,55 unequal: No Solution
Exploring Operation: 79*120=9480, Resulting Numbers: [9480]
9480,55 unequal: No Solution
Exploring Operation: 120-79=41, Resulting Numbers: [41]
41,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 55:[5, 11], Operations: ['87-84=3', '33/3=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,55 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[84, 5, 33, 87], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [5, 33, 3]
Generated Node #0,2: 55:[5, 33, 3] Operation: 87-84=3
Moving to Node #0,2
Current State: 55:[5, 33, 3], Operations: ['87-84=3']
Exploring Operation: 33/3=11, Resulting Numbers: [5, 11]
Generated Node #0,2,3: 55:[5, 11] Operation: 33/3=11
Moving to Node #0,2,3
Current State: 55:[5, 11], Operations: ['87-84=3', '33/3=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.956597
|
hs_4
|
sum_heuristic
|
[
44,
22,
44,
64
] | 87
|
[
"44/44=1",
"22+64=86",
"1+86=87"
] |
Current State: 87:[44, 22, 44, 64], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [22, 64, 1]
Generated Node #2: [22, 64, 1] from Operation: 44/44=1
Current State: 87:[22, 64, 1], Operations: ['44/44=1']
Exploring Operation: 22+64=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 22+64=86
Current State: 87:[1, 86], Operations: ['44/44=1', '22+64=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
Current State: 87:[44, 22, 44, 64], Operations: []
Exploring Operation: 64-44=20, Resulting Numbers: [44, 22, 20]
Generated Node #0,0: 87:[44, 22, 20] Operation: 64-44=20
Exploring Operation: 22+64=86, Resulting Numbers: [44, 44, 86]
Generated Node #0,1: 87:[44, 44, 86] Operation: 22+64=86
Exploring Operation: 44+44=88, Resulting Numbers: [22, 64, 88]
Generated Node #0,2: 87:[22, 64, 88] Operation: 44+44=88
Exploring Operation: 64-44=20, Resulting Numbers: [22, 44, 20]
Generated Node #0,3: 87:[22, 44, 20] Operation: 64-44=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[44, 22, 20], Operations: ['64-44=20']
Exploring Operation: 44-22=22, Resulting Numbers: [20, 22]
Generated Node #0,0,0: 87:[20, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [20, 2]
Generated Node #0,0,1: 87:[20, 2] Operation: 44/22=2
Exploring Operation: 22-20=2, Resulting Numbers: [44, 2]
Generated Node #0,0,2: 87:[44, 2] Operation: 22-20=2
Exploring Operation: 44-20=24, Resulting Numbers: [22, 24]
Generated Node #0,0,3: 87:[22, 24] Operation: 44-20=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[20, 2], Operations: ['64-44=20', '44/22=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,87 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 87:[22, 24], Operations: ['64-44=20', '44-20=24']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,87 unequal: No Solution
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[20, 22], Operations: ['64-44=20', '44-22=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,87 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[44, 2], Operations: ['64-44=20', '22-20=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,87 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[44, 44, 86], Operations: ['22+64=86']
Exploring Operation: 86-44=42, Resulting Numbers: [44, 42]
Generated Node #0,1,0: 87:[44, 42] Operation: 86-44=42
Exploring Operation: 44/44=1, Resulting Numbers: [86, 1]
Generated Node #0,1,1: 87:[86, 1] Operation: 44/44=1
Exploring Operation: 44+44=88, Resulting Numbers: [86, 88]
Generated Node #0,1,2: 87:[86, 88] Operation: 44+44=88
Exploring Operation: 44-44=0, Resulting Numbers: [86, 0]
Generated Node #0,1,3: 87:[86, 0] Operation: 44-44=0
Moving to Node #0,1,2
Current State: 87:[86, 88], Operations: ['22+64=86', '44+44=88']
Exploring Operation: 86*88=7568, Resulting Numbers: [7568]
7568,87 unequal: No Solution
Exploring Operation: 86+88=174, Resulting Numbers: [174]
174,87 unequal: No Solution
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[86, 1], Operations: ['22+64=86', '44/44=1']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[44, 22, 44, 64], Operations: []
Exploring Operation: 22+64=86, Resulting Numbers: [44, 44, 86]
Generated Node #0,1: 87:[44, 44, 86] Operation: 22+64=86
Moving to Node #0,1
Current State: 87:[44, 44, 86], Operations: ['22+64=86']
Exploring Operation: 44/44=1, Resulting Numbers: [86, 1]
Generated Node #0,1,1: 87:[86, 1] Operation: 44/44=1
Moving to Node #0,1,1
Current State: 87:[86, 1], Operations: ['22+64=86', '44/44=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_4
|
mult_heuristic
|
[
30,
60,
78,
85
] | 14
|
[
"60/30=2",
"85-78=7",
"2*7=14"
] |
Current State: 14:[30, 60, 78, 85], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [78, 85, 2]
Generated Node #2: [78, 85, 2] from Operation: 60/30=2
Current State: 14:[78, 85, 2], Operations: ['60/30=2']
Exploring Operation: 85-78=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 85-78=7
Current State: 14:[2, 7], Operations: ['60/30=2', '85-78=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[30, 60, 78, 85], Operations: []
Exploring Operation: 78-60=18, Resulting Numbers: [30, 85, 18]
Generated Node #0,0: 14:[30, 85, 18] Operation: 78-60=18
Exploring Operation: 85-60=25, Resulting Numbers: [30, 78, 25]
Generated Node #0,1: 14:[30, 78, 25] Operation: 85-60=25
Exploring Operation: 85-78=7, Resulting Numbers: [30, 60, 7]
Generated Node #0,2: 14:[30, 60, 7] Operation: 85-78=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[30, 60, 7], Operations: ['85-78=7']
Exploring Operation: 30-7=23, Resulting Numbers: [60, 23]
Generated Node #0,2,0: 14:[60, 23] Operation: 30-7=23
Exploring Operation: 60-30=30, Resulting Numbers: [7, 30]
Generated Node #0,2,1: 14:[7, 30] Operation: 60-30=30
Exploring Operation: 60/30=2, Resulting Numbers: [7, 2]
Generated Node #0,2,2: 14:[7, 2] Operation: 60/30=2
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 14:[7, 2], Operations: ['85-78=7', '60/30=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[30, 60, 78, 85], Operations: []
Exploring Operation: 85-78=7, Resulting Numbers: [30, 60, 7]
Generated Node #0,2: 14:[30, 60, 7] Operation: 85-78=7
Moving to Node #0,2
Current State: 14:[30, 60, 7], Operations: ['85-78=7']
Exploring Operation: 60/30=2, Resulting Numbers: [7, 2]
Generated Node #0,2,2: 14:[7, 2] Operation: 60/30=2
Moving to Node #0,2,2
Current State: 14:[7, 2], Operations: ['85-78=7', '60/30=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
mult_heuristic
|
[
63,
74,
69,
34
] | 92
|
[
"74-63=11",
"69+34=103",
"103-11=92"
] |
Current State: 92:[63, 74, 69, 34], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [69, 34, 11]
Generated Node #2: [69, 34, 11] from Operation: 74-63=11
Current State: 92:[69, 34, 11], Operations: ['74-63=11']
Exploring Operation: 69+34=103, Resulting Numbers: [11, 103]
Generated Node #3: [11, 103] from Operation: 69+34=103
Current State: 92:[11, 103], Operations: ['74-63=11', '69+34=103']
Exploring Operation: 103-11=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[63, 74, 69, 34], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [63, 34, 5]
Generated Node #0,0: 92:[63, 34, 5] Operation: 74-69=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[63, 34, 5], Operations: ['74-69=5']
Exploring Operation: 63+34=97, Resulting Numbers: [5, 97]
Generated Node #0,0,0: 92:[5, 97] Operation: 63+34=97
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[5, 97], Operations: ['74-69=5', '63+34=97']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[63, 74, 69, 34], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [63, 34, 5]
Generated Node #0,0: 92:[63, 34, 5] Operation: 74-69=5
Moving to Node #0,0
Current State: 92:[63, 34, 5], Operations: ['74-69=5']
Exploring Operation: 63+34=97, Resulting Numbers: [5, 97]
Generated Node #0,0,0: 92:[5, 97] Operation: 63+34=97
Moving to Node #0,0,0
Current State: 92:[5, 97], Operations: ['74-69=5', '63+34=97']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
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