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 |
|---|---|---|---|---|---|---|---|---|
[
73,
41,
66,
18
] | 80
|
[
"73-41=32",
"66-18=48",
"32+48=80"
] |
Current State: 80:[73, 41, 66, 18], Operations: []
Exploring Operation: 73-41=32, Resulting Numbers: [66, 18, 32]
Generated Node #2: [66, 18, 32] from Operation: 73-41=32
Current State: 80:[66, 18, 32], Operations: ['73-41=32']
Exploring Operation: 66-18=48, Resulting Numbers: [32, 48]
Generated Node #3: [32, 48] from Operation: 66-18=48
Current State: 80:[32, 48], Operations: ['73-41=32', '66-18=48']
Exploring Operation: 32+48=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[73, 41, 66, 18], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [41, 18, 7]
Generated Node #0,0: 80:[41, 18, 7] Operation: 73-66=7
Moving to Node #0,0
Current State: 80:[41, 18, 7], Operations: ['73-66=7']
Exploring Operation: 18-7=11, Resulting Numbers: [41, 11]
Generated Node #0,0,0: 80:[41, 11] Operation: 18-7=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[41, 11], Operations: ['73-66=7', '18-7=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
63,
47,
48,
89
] | 57
|
[
"63-47=16",
"89-48=41",
"16+41=57"
] |
Current State: 57:[63, 47, 48, 89], Operations: []
Exploring Operation: 63-47=16, Resulting Numbers: [48, 89, 16]
Generated Node #2: [48, 89, 16] from Operation: 63-47=16
Current State: 57:[48, 89, 16], Operations: ['63-47=16']
Exploring Operation: 89-48=41, Resulting Numbers: [16, 41]
Generated Node #3: [16, 41] from Operation: 89-48=41
Current State: 57:[16, 41], Operations: ['63-47=16', '89-48=41']
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[63, 47, 48, 89], Operations: []
Exploring Operation: 48-47=1, Resulting Numbers: [63, 89, 1]
Generated Node #0,0: 57:[63, 89, 1] Operation: 48-47=1
Exploring Operation: 89-48=41, Resulting Numbers: [63, 47, 41]
Generated Node #0,1: 57:[63, 47, 41] Operation: 89-48=41
Exploring Operation: 89-47=42, Resulting Numbers: [63, 48, 42]
Generated Node #0,2: 57:[63, 48, 42] Operation: 89-47=42
Exploring Operation: 89-63=26, Resulting Numbers: [47, 48, 26]
Generated Node #0,3: 57:[47, 48, 26] Operation: 89-63=26
Moving to Node #0,3
Current State: 57:[47, 48, 26], Operations: ['89-63=26']
Exploring Operation: 48-26=22, Resulting Numbers: [47, 22]
Generated Node #0,3,0: 57:[47, 22] Operation: 48-26=22
Exploring Operation: 48-47=1, Resulting Numbers: [26, 1]
Generated Node #0,3,1: 57:[26, 1] Operation: 48-47=1
Exploring Operation: 47-26=21, Resulting Numbers: [48, 21]
Generated Node #0,3,2: 57:[48, 21] Operation: 47-26=21
Exploring Operation: 47+26=73, Resulting Numbers: [48, 73]
Generated Node #0,3,3: 57:[48, 73] Operation: 47+26=73
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 57:[26, 1], Operations: ['89-63=26', '48-47=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 57:[48, 21], Operations: ['89-63=26', '47-26=21']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 48*21=1008, Resulting Numbers: [1008]
1008,57 unequal: No Solution
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 57:[47, 22], Operations: ['89-63=26', '48-26=22']
Exploring Operation: 47*22=1034, Resulting Numbers: [1034]
1034,57 unequal: No Solution
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,57 unequal: No Solution
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 57:[48, 73], Operations: ['89-63=26', '47+26=73']
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,57 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: 57:[63, 48, 42], Operations: ['89-47=42']
Exploring Operation: 63-48=15, Resulting Numbers: [42, 15]
Generated Node #0,2,0: 57:[42, 15] Operation: 63-48=15
Exploring Operation: 48+42=90, Resulting Numbers: [63, 90]
Generated Node #0,2,1: 57:[63, 90] Operation: 48+42=90
Exploring Operation: 48-42=6, Resulting Numbers: [63, 6]
Generated Node #0,2,2: 57:[63, 6] Operation: 48-42=6
Exploring Operation: 63-42=21, Resulting Numbers: [48, 21]
Generated Node #0,2,3: 57:[48, 21] Operation: 63-42=21
Moving to Node #0,1
Current State: 57:[63, 47, 41], Operations: ['89-48=41']
Exploring Operation: 63-47=16, Resulting Numbers: [41, 16]
Generated Node #0,1,0: 57:[41, 16] Operation: 63-47=16
Exploring Operation: 63-41=22, Resulting Numbers: [47, 22]
Generated Node #0,1,1: 57:[47, 22] Operation: 63-41=22
Exploring Operation: 47+41=88, Resulting Numbers: [63, 88]
Generated Node #0,1,2: 57:[63, 88] Operation: 47+41=88
Exploring Operation: 47-41=6, Resulting Numbers: [63, 6]
Generated Node #0,1,3: 57:[63, 6] Operation: 47-41=6
Moving to Node #0,0
Current State: 57:[63, 89, 1], Operations: ['48-47=1']
Exploring Operation: 63-1=62, Resulting Numbers: [89, 62]
Generated Node #0,0,0: 57:[89, 62] Operation: 63-1=62
Exploring Operation: 63*1=63, Resulting Numbers: [89, 63]
Generated Node #0,0,1: 57:[89, 63] Operation: 63*1=63
Exploring Operation: 89-1=88, Resulting Numbers: [63, 88]
Generated Node #0,0,2: 57:[63, 88] Operation: 89-1=88
Exploring Operation: 89-63=26, Resulting Numbers: [1, 26]
Generated Node #0,0,3: 57:[1, 26] Operation: 89-63=26
Moving to Node #0,2,2
Current State: 57:[63, 6], Operations: ['89-47=42', '48-42=6']
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,57 unequal: No Solution
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,57 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[63, 47, 48, 89], Operations: []
Exploring Operation: 89-47=42, Resulting Numbers: [63, 48, 42]
Generated Node #0,2: 57:[63, 48, 42] Operation: 89-47=42
Moving to Node #0,2
Current State: 57:[63, 48, 42], Operations: ['89-47=42']
Exploring Operation: 48-42=6, Resulting Numbers: [63, 6]
Generated Node #0,2,2: 57:[63, 6] Operation: 48-42=6
Moving to Node #0,2,2
Current State: 57:[63, 6], Operations: ['89-47=42', '48-42=6']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.965278
|
hs_4
|
sum_heuristic
|
[
66,
18,
42,
62
] | 30
|
[
"66-62=4",
"18*4=72",
"72-42=30"
] |
Current State: 30:[66, 18, 42, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [18, 42, 4]
Generated Node #2: [18, 42, 4] from Operation: 66-62=4
Current State: 30:[18, 42, 4], Operations: ['66-62=4']
Exploring Operation: 18*4=72, Resulting Numbers: [42, 72]
Generated Node #3: [42, 72] from Operation: 18*4=72
Current State: 30:[42, 72], Operations: ['66-62=4', '18*4=72']
Exploring Operation: 72-42=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[66, 18, 42, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [18, 42, 4]
Generated Node #0,0: 30:[18, 42, 4] Operation: 66-62=4
Exploring Operation: 66-42=24, Resulting Numbers: [18, 62, 24]
Generated Node #0,1: 30:[18, 62, 24] Operation: 66-42=24
Exploring Operation: 62-42=20, Resulting Numbers: [66, 18, 20]
Generated Node #0,2: 30:[66, 18, 20] Operation: 62-42=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[18, 42, 4], Operations: ['66-62=4']
Exploring Operation: 42-4=38, Resulting Numbers: [18, 38]
Generated Node #0,0,0: 30:[18, 38] Operation: 42-4=38
Exploring Operation: 42-18=24, Resulting Numbers: [4, 24]
Generated Node #0,0,1: 30:[4, 24] Operation: 42-18=24
Exploring Operation: 18-4=14, Resulting Numbers: [42, 14]
Generated Node #0,0,2: 30:[42, 14] Operation: 18-4=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[4, 24], Operations: ['66-62=4', '42-18=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[18, 38], Operations: ['66-62=4', '42-4=38']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 30:[42, 14], Operations: ['66-62=4', '18-4=14']
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 42+14=56, Resulting Numbers: [56]
56,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[18, 62, 24], Operations: ['66-42=24']
Exploring Operation: 62-18=44, Resulting Numbers: [24, 44]
Generated Node #0,1,0: 30:[24, 44] Operation: 62-18=44
Exploring Operation: 62-24=38, Resulting Numbers: [18, 38]
Generated Node #0,1,1: 30:[18, 38] Operation: 62-24=38
Exploring Operation: 24-18=6, Resulting Numbers: [62, 6]
Generated Node #0,1,2: 30:[62, 6] Operation: 24-18=6
Moving to Node #0,1,1
Current State: 30:[18, 38], Operations: ['66-42=24', '62-24=38']
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[24, 44], Operations: ['66-42=24', '62-18=44']
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,30 unequal: No Solution
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[62, 6], Operations: ['66-42=24', '24-18=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 62*6=372, Resulting Numbers: [372]
372,30 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:[66, 18, 20], Operations: ['62-42=20']
Exploring Operation: 66-20=46, Resulting Numbers: [18, 46]
Generated Node #0,2,0: 30:[18, 46] Operation: 66-20=46
Exploring Operation: 66-18=48, Resulting Numbers: [20, 48]
Generated Node #0,2,1: 30:[20, 48] Operation: 66-18=48
Exploring Operation: 20-18=2, Resulting Numbers: [66, 2]
Generated Node #0,2,2: 30:[66, 2] Operation: 20-18=2
Moving to Node #0,2,0
Current State: 30:[18, 46], Operations: ['62-42=20', '66-20=46']
Exploring Operation: 18*46=828, Resulting Numbers: [828]
828,30 unequal: No Solution
Exploring Operation: 18+46=64, Resulting Numbers: [64]
64,30 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[20, 48], Operations: ['62-42=20', '66-18=48']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,30 unequal: No Solution
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[66, 2], Operations: ['62-42=20', '20-18=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,30 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,30 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
|
[
91,
36,
43,
14
] | 89
|
[
"43-36=7",
"14/7=2",
"91-2=89"
] |
Current State: 89:[91, 36, 43, 14], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [91, 14, 7]
Generated Node #2: [91, 14, 7] from Operation: 43-36=7
Current State: 89:[91, 14, 7], Operations: ['43-36=7']
Exploring Operation: 14/7=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 14/7=2
Current State: 89:[91, 2], Operations: ['43-36=7', '14/7=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[91, 36, 43, 14], Operations: []
Exploring Operation: 43+14=57, Resulting Numbers: [91, 36, 57]
Generated Node #0,0: 89:[91, 36, 57] Operation: 43+14=57
Exploring Operation: 36+14=50, Resulting Numbers: [91, 43, 50]
Generated Node #0,1: 89:[91, 43, 50] Operation: 36+14=50
Exploring Operation: 91-14=77, Resulting Numbers: [36, 43, 77]
Generated Node #0,2: 89:[36, 43, 77] Operation: 91-14=77
Exploring Operation: 36+43=79, Resulting Numbers: [91, 14, 79]
Generated Node #0,3: 89:[91, 14, 79] Operation: 36+43=79
Exploring Operation: 91+14=105, Resulting Numbers: [36, 43, 105]
Generated Node #0,4: 89:[36, 43, 105] Operation: 91+14=105
Moving to Node #0,0
Current State: 89:[91, 36, 57], Operations: ['43+14=57']
Exploring Operation: 57-36=21, Resulting Numbers: [91, 21]
Generated Node #0,0,0: 89:[91, 21] Operation: 57-36=21
Exploring Operation: 91-57=34, Resulting Numbers: [36, 34]
Generated Node #0,0,1: 89:[36, 34] Operation: 91-57=34
Exploring Operation: 91+36=127, Resulting Numbers: [57, 127]
Generated Node #0,0,2: 89:[57, 127] Operation: 91+36=127
Exploring Operation: 91-36=55, Resulting Numbers: [57, 55]
Generated Node #0,0,3: 89:[57, 55] Operation: 91-36=55
Exploring Operation: 36+57=93, Resulting Numbers: [91, 93]
Generated Node #0,0,4: 89:[91, 93] Operation: 36+57=93
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 89:[91, 93], Operations: ['43+14=57', '36+57=93']
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 91*93=8463, Resulting Numbers: [8463]
8463,89 unequal: No Solution
Exploring Operation: 91+93=184, Resulting Numbers: [184]
184,89 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 #0,0,3
Current State: 89:[57, 55], Operations: ['43+14=57', '91-36=55']
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,89 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,89 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 #0,0,0
Current State: 89:[91, 21], Operations: ['43+14=57', '57-36=21']
Exploring Operation: 91*21=1911, Resulting Numbers: [1911]
1911,89 unequal: No Solution
Exploring Operation: 91+21=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 91-21=70, Resulting Numbers: [70]
70,89 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 #0,0,2
Current State: 89:[57, 127], Operations: ['43+14=57', '91+36=127']
Exploring Operation: 57+127=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 127-57=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 57*127=7239, Resulting Numbers: [7239]
7239,89 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 #0,0,1
Current State: 89:[36, 34], Operations: ['43+14=57', '91-57=34']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 36*34=1224, Resulting Numbers: [1224]
1224,89 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: 89:[91, 14, 79], Operations: ['36+43=79']
Exploring Operation: 91+14=105, Resulting Numbers: [79, 105]
Generated Node #0,3,0: 89:[79, 105] Operation: 91+14=105
Exploring Operation: 79-14=65, Resulting Numbers: [91, 65]
Generated Node #0,3,1: 89:[91, 65] Operation: 79-14=65
Exploring Operation: 91-79=12, Resulting Numbers: [14, 12]
Generated Node #0,3,2: 89:[14, 12] Operation: 91-79=12
Exploring Operation: 91-14=77, Resulting Numbers: [79, 77]
Generated Node #0,3,3: 89:[79, 77] Operation: 91-14=77
Exploring Operation: 14+79=93, Resulting Numbers: [91, 93]
Generated Node #0,3,4: 89:[91, 93] Operation: 14+79=93
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 89:[91, 93], Operations: ['36+43=79', '14+79=93']
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 91+93=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 91*93=8463, Resulting Numbers: [8463]
8463,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 89:[79, 77], Operations: ['36+43=79', '91-14=77']
Exploring Operation: 79+77=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 79-77=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 79*77=6083, Resulting Numbers: [6083]
6083,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 89:[79, 105], Operations: ['36+43=79', '91+14=105']
Exploring Operation: 79+105=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 105-79=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 79*105=8295, Resulting Numbers: [8295]
8295,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[91, 65], Operations: ['36+43=79', '79-14=65']
Exploring Operation: 91+65=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 91-65=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 91*65=5915, Resulting Numbers: [5915]
5915,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[14, 12], Operations: ['36+43=79', '91-79=12']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,89 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,89 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: 89:[91, 43, 50], Operations: ['36+14=50']
Exploring Operation: 50-43=7, Resulting Numbers: [91, 7]
Generated Node #0,1,0: 89:[91, 7] Operation: 50-43=7
Exploring Operation: 43+50=93, Resulting Numbers: [91, 93]
Generated Node #0,1,1: 89:[91, 93] Operation: 43+50=93
Exploring Operation: 91-50=41, Resulting Numbers: [43, 41]
Generated Node #0,1,2: 89:[43, 41] Operation: 91-50=41
Exploring Operation: 91+43=134, Resulting Numbers: [50, 134]
Generated Node #0,1,3: 89:[50, 134] Operation: 91+43=134
Exploring Operation: 91-43=48, Resulting Numbers: [50, 48]
Generated Node #0,1,4: 89:[50, 48] Operation: 91-43=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[91, 93], Operations: ['36+14=50', '43+50=93']
Exploring Operation: 91*93=8463, Resulting Numbers: [8463]
8463,89 unequal: No Solution
Exploring Operation: 91+93=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 93-91=2, Resulting Numbers: [2]
2,89 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 #0,1,4
Current State: 89:[50, 48], Operations: ['36+14=50', '91-43=48']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,89 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 #0,1,0
Current State: 89:[91, 7], Operations: ['36+14=50', '50-43=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,89 unequal: No Solution
Exploring Operation: 91*7=637, Resulting Numbers: [637]
637,89 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,89 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 #0,1,3
Current State: 89:[50, 134], Operations: ['36+14=50', '91+43=134']
Exploring Operation: 134-50=84, Resulting Numbers: [84]
84,89 unequal: No Solution
Exploring Operation: 50*134=6700, Resulting Numbers: [6700]
6700,89 unequal: No Solution
Exploring Operation: 50+134=184, Resulting Numbers: [184]
184,89 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 #0,1,2
Current State: 89:[43, 41], Operations: ['36+14=50', '91-50=41']
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 43*41=1763, Resulting Numbers: [1763]
1763,89 unequal: No Solution
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,89 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: 89:[36, 43, 77], Operations: ['91-14=77']
Exploring Operation: 36+77=113, Resulting Numbers: [43, 113]
Generated Node #0,2,0: 89:[43, 113] Operation: 36+77=113
Exploring Operation: 43+77=120, Resulting Numbers: [36, 120]
Generated Node #0,2,1: 89:[36, 120] Operation: 43+77=120
Exploring Operation: 77-36=41, Resulting Numbers: [43, 41]
Generated Node #0,2,2: 89:[43, 41] Operation: 77-36=41
Exploring Operation: 43-36=7, Resulting Numbers: [77, 7]
Generated Node #0,2,3: 89:[77, 7] Operation: 43-36=7
Exploring Operation: 36+43=79, Resulting Numbers: [77, 79]
Generated Node #0,2,4: 89:[77, 79] Operation: 36+43=79
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 89:[77, 79], Operations: ['91-14=77', '36+43=79']
Exploring Operation: 79-77=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 77+79=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 77*79=6083, Resulting Numbers: [6083]
6083,89 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 #0,2,0
Current State: 89:[43, 113], Operations: ['91-14=77', '36+77=113']
Exploring Operation: 43+113=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 113-43=70, Resulting Numbers: [70]
70,89 unequal: No Solution
Exploring Operation: 43*113=4859, Resulting Numbers: [4859]
4859,89 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 #0,2,1
Current State: 89:[36, 120], Operations: ['91-14=77', '43+77=120']
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,89 unequal: No Solution
Exploring Operation: 36+120=156, Resulting Numbers: [156]
156,89 unequal: No Solution
Exploring Operation: 36*120=4320, Resulting Numbers: [4320]
4320,89 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 #0,2,2
Current State: 89:[43, 41], Operations: ['91-14=77', '77-36=41']
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,89 unequal: No Solution
Exploring Operation: 43*41=1763, Resulting Numbers: [1763]
1763,89 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 #0,2,3
Current State: 89:[77, 7], Operations: ['91-14=77', '43-36=7']
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,89 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,89 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,89 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: 89:[36, 43, 105], Operations: ['91+14=105']
Exploring Operation: 36+105=141, Resulting Numbers: [43, 141]
Generated Node #0,4,0: 89:[43, 141] Operation: 36+105=141
Exploring Operation: 36+43=79, Resulting Numbers: [105, 79]
Generated Node #0,4,1: 89:[105, 79] Operation: 36+43=79
Exploring Operation: 105-36=69, Resulting Numbers: [43, 69]
Generated Node #0,4,2: 89:[43, 69] Operation: 105-36=69
Exploring Operation: 105-43=62, Resulting Numbers: [36, 62]
Generated Node #0,4,3: 89:[36, 62] Operation: 105-43=62
Exploring Operation: 43-36=7, Resulting Numbers: [105, 7]
Generated Node #0,4,4: 89:[105, 7] Operation: 43-36=7
Moving to Node #0,4,1
Current State: 89:[105, 79], Operations: ['91+14=105', '36+43=79']
Exploring Operation: 105+79=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Exploring Operation: 105*79=8295, Resulting Numbers: [8295]
8295,89 unequal: No Solution
Exploring Operation: 105-79=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[43, 69], Operations: ['91+14=105', '105-36=69']
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 43+69=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 43*69=2967, Resulting Numbers: [2967]
2967,89 unequal: No Solution
Moving to Node #0,4,3
Current State: 89:[36, 62], Operations: ['91+14=105', '105-43=62']
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,89 unequal: No Solution
Moving to Node #0,4,0
Current State: 89:[43, 141], Operations: ['91+14=105', '36+105=141']
Exploring Operation: 141-43=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Exploring Operation: 43*141=6063, Resulting Numbers: [6063]
6063,89 unequal: No Solution
Exploring Operation: 43+141=184, Resulting Numbers: [184]
184,89 unequal: No Solution
Moving to Node #0,4,4
Current State: 89:[105, 7], Operations: ['91+14=105', '43-36=7']
Exploring Operation: 105-7=98, Resulting Numbers: [98]
98,89 unequal: No Solution
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 105*7=735, Resulting Numbers: [735]
735,89 unequal: No Solution
Exploring Operation: 105+7=112, Resulting Numbers: [112]
112,89 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
57,
83,
5,
55
] | 75
|
[
"83-57=26",
"5*26=130",
"130-55=75"
] |
Current State: 75:[57, 83, 5, 55], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [5, 55, 26]
Generated Node #2: [5, 55, 26] from Operation: 83-57=26
Current State: 75:[5, 55, 26], Operations: ['83-57=26']
Exploring Operation: 5*26=130, Resulting Numbers: [55, 130]
Generated Node #3: [55, 130] from Operation: 5*26=130
Current State: 75:[55, 130], Operations: ['83-57=26', '5*26=130']
Exploring Operation: 130-55=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[57, 83, 5, 55], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [83, 5, 2]
Generated Node #0,0: 75:[83, 5, 2] Operation: 57-55=2
Exploring Operation: 57+5=62, Resulting Numbers: [83, 55, 62]
Generated Node #0,1: 75:[83, 55, 62] Operation: 57+5=62
Exploring Operation: 83-57=26, Resulting Numbers: [5, 55, 26]
Generated Node #0,2: 75:[5, 55, 26] Operation: 83-57=26
Exploring Operation: 55/5=11, Resulting Numbers: [57, 83, 11]
Generated Node #0,3: 75:[57, 83, 11] Operation: 55/5=11
Exploring Operation: 83-55=28, Resulting Numbers: [57, 5, 28]
Generated Node #0,4: 75:[57, 5, 28] Operation: 83-55=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[83, 5, 2], Operations: ['57-55=2']
Exploring Operation: 5+2=7, Resulting Numbers: [83, 7]
Generated Node #0,0,0: 75:[83, 7] Operation: 5+2=7
Exploring Operation: 5-2=3, Resulting Numbers: [83, 3]
Generated Node #0,0,1: 75:[83, 3] Operation: 5-2=3
Exploring Operation: 83-5=78, Resulting Numbers: [2, 78]
Generated Node #0,0,2: 75:[2, 78] Operation: 83-5=78
Exploring Operation: 83-2=81, Resulting Numbers: [5, 81]
Generated Node #0,0,3: 75:[5, 81] Operation: 83-2=81
Exploring Operation: 83+2=85, Resulting Numbers: [5, 85]
Generated Node #0,0,4: 75:[5, 85] Operation: 83+2=85
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[2, 78], Operations: ['57-55=2', '83-5=78']
Exploring Operation: 2*78=156, Resulting Numbers: [156]
156,75 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,75 unequal: No Solution
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,75 unequal: No Solution
No 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: 75:[5, 81], Operations: ['57-55=2', '83-2=81']
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,75 unequal: No Solution
No 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: 75:[83, 3], Operations: ['57-55=2', '5-2=3']
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,75 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,75 unequal: No Solution
No 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: 75:[83, 7], Operations: ['57-55=2', '5+2=7']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,75 unequal: No Solution
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,75 unequal: No Solution
No 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: 75:[5, 85], Operations: ['57-55=2', '83+2=85']
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,75 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[5, 55, 26], Operations: ['83-57=26']
Exploring Operation: 55+26=81, Resulting Numbers: [5, 81]
Generated Node #0,2,0: 75:[5, 81] Operation: 55+26=81
Exploring Operation: 26-5=21, Resulting Numbers: [55, 21]
Generated Node #0,2,1: 75:[55, 21] Operation: 26-5=21
Exploring Operation: 5+55=60, Resulting Numbers: [26, 60]
Generated Node #0,2,2: 75:[26, 60] Operation: 5+55=60
Exploring Operation: 55-26=29, Resulting Numbers: [5, 29]
Generated Node #0,2,3: 75:[5, 29] Operation: 55-26=29
Exploring Operation: 55/5=11, Resulting Numbers: [26, 11]
Generated Node #0,2,4: 75:[26, 11] Operation: 55/5=11
Moving to Node #0,2,3
Current State: 75:[5, 29], Operations: ['83-57=26', '55-26=29']
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,75 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[26, 11], Operations: ['83-57=26', '55/5=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,75 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[5, 81], Operations: ['83-57=26', '55+26=81']
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,75 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[26, 60], Operations: ['83-57=26', '5+55=60']
Exploring Operation: 26+60=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 26*60=1560, Resulting Numbers: [1560]
1560,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[55, 21], Operations: ['83-57=26', '26-5=21']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 55*21=1155, Resulting Numbers: [1155]
1155,75 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 #0,4
Current State: 75:[57, 5, 28], Operations: ['83-55=28']
Exploring Operation: 57+28=85, Resulting Numbers: [5, 85]
Generated Node #0,4,0: 75:[5, 85] Operation: 57+28=85
Exploring Operation: 57-28=29, Resulting Numbers: [5, 29]
Generated Node #0,4,1: 75:[5, 29] Operation: 57-28=29
Exploring Operation: 57-5=52, Resulting Numbers: [28, 52]
Generated Node #0,4,2: 75:[28, 52] Operation: 57-5=52
Exploring Operation: 57+5=62, Resulting Numbers: [28, 62]
Generated Node #0,4,3: 75:[28, 62] Operation: 57+5=62
Exploring Operation: 28-5=23, Resulting Numbers: [57, 23]
Generated Node #0,4,4: 75:[57, 23] Operation: 28-5=23
Moving to Node #0,4,1
Current State: 75:[5, 29], Operations: ['83-55=28', '57-28=29']
Exploring Operation: 5*29=145, Resulting Numbers: [145]
145,75 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Moving to Node #0,4,0
Current State: 75:[5, 85], Operations: ['83-55=28', '57+28=85']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 5*85=425, Resulting Numbers: [425]
425,75 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Moving to Node #0,4,3
Current State: 75:[28, 62], Operations: ['83-55=28', '57+5=62']
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,75 unequal: No Solution
Moving to Node #0,4,4
Current State: 75:[57, 23], Operations: ['83-55=28', '28-5=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,75 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,4,2
Current State: 75:[28, 52], Operations: ['83-55=28', '57-5=52']
Exploring Operation: 28*52=1456, Resulting Numbers: [1456]
1456,75 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 28+52=80, Resulting Numbers: [80]
80,75 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 #0,3
Current State: 75:[57, 83, 11], Operations: ['55/5=11']
Exploring Operation: 83+11=94, Resulting Numbers: [57, 94]
Generated Node #0,3,0: 75:[57, 94] Operation: 83+11=94
Exploring Operation: 83-11=72, Resulting Numbers: [57, 72]
Generated Node #0,3,1: 75:[57, 72] Operation: 83-11=72
Exploring Operation: 57+11=68, Resulting Numbers: [83, 68]
Generated Node #0,3,2: 75:[83, 68] Operation: 57+11=68
Exploring Operation: 83-57=26, Resulting Numbers: [11, 26]
Generated Node #0,3,3: 75:[11, 26] Operation: 83-57=26
Exploring Operation: 57-11=46, Resulting Numbers: [83, 46]
Generated Node #0,3,4: 75:[83, 46] Operation: 57-11=46
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[11, 26], Operations: ['55/5=11', '83-57=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,75 unequal: No Solution
No 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: 75:[83, 68], Operations: ['55/5=11', '57+11=68']
Exploring Operation: 83+68=151, Resulting Numbers: [151]
151,75 unequal: No Solution
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 83*68=5644, Resulting Numbers: [5644]
5644,75 unequal: No Solution
No 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: 75:[57, 72], Operations: ['55/5=11', '83-11=72']
Exploring Operation: 57*72=4104, Resulting Numbers: [4104]
4104,75 unequal: No Solution
Exploring Operation: 57+72=129, Resulting Numbers: [129]
129,75 unequal: No Solution
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,75 unequal: No Solution
No 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: 75:[83, 46], Operations: ['55/5=11', '57-11=46']
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Exploring Operation: 83+46=129, Resulting Numbers: [129]
129,75 unequal: No Solution
Exploring Operation: 83*46=3818, Resulting Numbers: [3818]
3818,75 unequal: No Solution
No 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: 75:[57, 94], Operations: ['55/5=11', '83+11=94']
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Exploring Operation: 57*94=5358, Resulting Numbers: [5358]
5358,75 unequal: No Solution
Exploring Operation: 57+94=151, Resulting Numbers: [151]
151,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[83, 55, 62], Operations: ['57+5=62']
Exploring Operation: 83+55=138, Resulting Numbers: [62, 138]
Generated Node #0,1,0: 75:[62, 138] Operation: 83+55=138
Exploring Operation: 83-55=28, Resulting Numbers: [62, 28]
Generated Node #0,1,1: 75:[62, 28] Operation: 83-55=28
Exploring Operation: 83-62=21, Resulting Numbers: [55, 21]
Generated Node #0,1,2: 75:[55, 21] Operation: 83-62=21
Exploring Operation: 55+62=117, Resulting Numbers: [83, 117]
Generated Node #0,1,3: 75:[83, 117] Operation: 55+62=117
Exploring Operation: 62-55=7, Resulting Numbers: [83, 7]
Generated Node #0,1,4: 75:[83, 7] Operation: 62-55=7
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 75:[83, 7], Operations: ['57+5=62', '62-55=7']
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,75 unequal: No Solution
No 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: 75:[62, 28], Operations: ['57+5=62', '83-55=28']
Exploring Operation: 62*28=1736, Resulting Numbers: [1736]
1736,75 unequal: No Solution
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,75 unequal: No Solution
No 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: 75:[55, 21], Operations: ['57+5=62', '83-62=21']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 55*21=1155, Resulting Numbers: [1155]
1155,75 unequal: No Solution
No 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: 75:[83, 117], Operations: ['57+5=62', '55+62=117']
Exploring Operation: 117-83=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Exploring Operation: 83+117=200, Resulting Numbers: [200]
200,75 unequal: No Solution
Exploring Operation: 83*117=9711, Resulting Numbers: [9711]
9711,75 unequal: No Solution
No 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: 75:[62, 138], Operations: ['57+5=62', '83+55=138']
Exploring Operation: 138-62=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 62*138=8556, Resulting Numbers: [8556]
8556,75 unequal: No Solution
Exploring Operation: 62+138=200, Resulting Numbers: [200]
200,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
89,
37,
7,
66
] | 10
|
[
"89*7=623",
"37+623=660",
"660/66=10"
] |
Current State: 10:[89, 37, 7, 66], Operations: []
Exploring Operation: 89*7=623, Resulting Numbers: [37, 66, 623]
Generated Node #2: [37, 66, 623] from Operation: 89*7=623
Current State: 10:[37, 66, 623], Operations: ['89*7=623']
Exploring Operation: 37+623=660, Resulting Numbers: [66, 660]
Generated Node #3: [66, 660] from Operation: 37+623=660
Current State: 10:[66, 660], Operations: ['89*7=623', '37+623=660']
Exploring Operation: 660/66=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[89, 37, 7, 66], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [37, 7, 23]
Generated Node #0,0: 10:[37, 7, 23] Operation: 89-66=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[37, 7, 23], Operations: ['89-66=23']
Exploring Operation: 37-23=14, Resulting Numbers: [7, 14]
Generated Node #0,0,0: 10:[7, 14] Operation: 37-23=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[7, 14], Operations: ['89-66=23', '37-23=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,10 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
|
[
11,
40,
4,
75
] | 56
|
[
"75-11=64",
"64/4=16",
"40+16=56"
] |
Current State: 56:[11, 40, 4, 75], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [40, 4, 64]
Generated Node #2: [40, 4, 64] from Operation: 75-11=64
Current State: 56:[40, 4, 64], Operations: ['75-11=64']
Exploring Operation: 64/4=16, Resulting Numbers: [40, 16]
Generated Node #3: [40, 16] from Operation: 64/4=16
Current State: 56:[40, 16], Operations: ['75-11=64', '64/4=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[11, 40, 4, 75], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [11, 75, 10]
Generated Node #0,0: 56:[11, 75, 10] Operation: 40/4=10
Exploring Operation: 11+40=51, Resulting Numbers: [4, 75, 51]
Generated Node #0,1: 56:[4, 75, 51] Operation: 11+40=51
Exploring Operation: 75-11=64, Resulting Numbers: [40, 4, 64]
Generated Node #0,2: 56:[40, 4, 64] Operation: 75-11=64
Exploring Operation: 75-40=35, Resulting Numbers: [11, 4, 35]
Generated Node #0,3: 56:[11, 4, 35] Operation: 75-40=35
Exploring Operation: 40-11=29, Resulting Numbers: [4, 75, 29]
Generated Node #0,4: 56:[4, 75, 29] Operation: 40-11=29
Moving to Node #0,3
Current State: 56:[11, 4, 35], Operations: ['75-40=35']
Exploring Operation: 11-4=7, Resulting Numbers: [35, 7]
Generated Node #0,3,0: 56:[35, 7] Operation: 11-4=7
Exploring Operation: 11+35=46, Resulting Numbers: [4, 46]
Generated Node #0,3,1: 56:[4, 46] Operation: 11+35=46
Exploring Operation: 35-4=31, Resulting Numbers: [11, 31]
Generated Node #0,3,2: 56:[11, 31] Operation: 35-4=31
Exploring Operation: 11+4=15, Resulting Numbers: [35, 15]
Generated Node #0,3,3: 56:[35, 15] Operation: 11+4=15
Exploring Operation: 35-11=24, Resulting Numbers: [4, 24]
Generated Node #0,3,4: 56:[4, 24] Operation: 35-11=24
Moving to Node #0,4
Current State: 56:[4, 75, 29], Operations: ['40-11=29']
Exploring Operation: 29-4=25, Resulting Numbers: [75, 25]
Generated Node #0,4,0: 56:[75, 25] Operation: 29-4=25
Exploring Operation: 75-4=71, Resulting Numbers: [29, 71]
Generated Node #0,4,1: 56:[29, 71] Operation: 75-4=71
Exploring Operation: 75-29=46, Resulting Numbers: [4, 46]
Generated Node #0,4,2: 56:[4, 46] Operation: 75-29=46
Exploring Operation: 4+29=33, Resulting Numbers: [75, 33]
Generated Node #0,4,3: 56:[75, 33] Operation: 4+29=33
Exploring Operation: 4+75=79, Resulting Numbers: [29, 79]
Generated Node #0,4,4: 56:[29, 79] Operation: 4+75=79
Moving to Node #0,2
Current State: 56:[40, 4, 64], Operations: ['75-11=64']
Exploring Operation: 40/4=10, Resulting Numbers: [64, 10]
Generated Node #0,2,0: 56:[64, 10] Operation: 40/4=10
Exploring Operation: 64-4=60, Resulting Numbers: [40, 60]
Generated Node #0,2,1: 56:[40, 60] Operation: 64-4=60
Exploring Operation: 40-4=36, Resulting Numbers: [64, 36]
Generated Node #0,2,2: 56:[64, 36] Operation: 40-4=36
Exploring Operation: 64-40=24, Resulting Numbers: [4, 24]
Generated Node #0,2,3: 56:[4, 24] Operation: 64-40=24
Exploring Operation: 64/4=16, Resulting Numbers: [40, 16]
Generated Node #0,2,4: 56:[40, 16] Operation: 64/4=16
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 56:[4, 24], Operations: ['75-11=64', '64-40=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,56 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[64, 10], Operations: ['75-11=64', '40/4=10']
Exploring Operation: 64*10=640, Resulting Numbers: [640]
640,56 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 56:[40, 16], Operations: ['75-11=64', '64/4=16']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,56 unequal: No Solution
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[11, 40, 4, 75], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [40, 4, 64]
Generated Node #0,2: 56:[40, 4, 64] Operation: 75-11=64
Moving to Node #0,2
Current State: 56:[40, 4, 64], Operations: ['75-11=64']
Exploring Operation: 64/4=16, Resulting Numbers: [40, 16]
Generated Node #0,2,4: 56:[40, 16] Operation: 64/4=16
Moving to Node #0,2,4
Current State: 56:[40, 16], Operations: ['75-11=64', '64/4=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486
|
hs_5
|
mult_heuristic
|
[
89,
20,
16,
33
] | 43
|
[
"20-16=4",
"33*4=132",
"132-89=43"
] |
Current State: 43:[89, 20, 16, 33], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [89, 33, 4]
Generated Node #2: [89, 33, 4] from Operation: 20-16=4
Current State: 43:[89, 33, 4], Operations: ['20-16=4']
Exploring Operation: 33*4=132, Resulting Numbers: [89, 132]
Generated Node #3: [89, 132] from Operation: 33*4=132
Current State: 43:[89, 132], Operations: ['20-16=4', '33*4=132']
Exploring Operation: 132-89=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[89, 20, 16, 33], Operations: []
Exploring Operation: 89-20=69, Resulting Numbers: [16, 33, 69]
Generated Node #0,0: 43:[16, 33, 69] Operation: 89-20=69
Exploring Operation: 89-16=73, Resulting Numbers: [20, 33, 73]
Generated Node #0,1: 43:[20, 33, 73] Operation: 89-16=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[16, 33, 69], Operations: ['89-20=69']
Exploring Operation: 16+33=49, Resulting Numbers: [69, 49]
Generated Node #0,0,0: 43:[69, 49] Operation: 16+33=49
Exploring Operation: 69-16=53, Resulting Numbers: [33, 53]
Generated Node #0,0,1: 43:[33, 53] Operation: 69-16=53
Moving to Node #0,0,1
Current State: 43:[33, 53], Operations: ['89-20=69', '69-16=53']
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,43 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[69, 49], Operations: ['89-20=69', '16+33=49']
Exploring Operation: 69+49=118, Resulting Numbers: [118]
118,43 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,43 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 #0,1
Current State: 43:[20, 33, 73], Operations: ['89-16=73']
Exploring Operation: 73-20=53, Resulting Numbers: [33, 53]
Generated Node #0,1,0: 43:[33, 53] Operation: 73-20=53
Exploring Operation: 73-33=40, Resulting Numbers: [20, 40]
Generated Node #0,1,1: 43:[20, 40] Operation: 73-33=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[33, 53], Operations: ['89-16=73', '73-20=53']
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,43 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,43 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:[20, 40], Operations: ['89-16=73', '73-33=40']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 20+40=60, Resulting Numbers: [60]
60,43 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_2
|
sum_heuristic
|
[
92,
63,
2,
60
] | 94
|
[
"92-60=32",
"63*2=126",
"126-32=94"
] |
Current State: 94:[92, 63, 2, 60], Operations: []
Exploring Operation: 92-60=32, Resulting Numbers: [63, 2, 32]
Generated Node #2: [63, 2, 32] from Operation: 92-60=32
Current State: 94:[63, 2, 32], Operations: ['92-60=32']
Exploring Operation: 63*2=126, Resulting Numbers: [32, 126]
Generated Node #3: [32, 126] from Operation: 63*2=126
Current State: 94:[32, 126], Operations: ['92-60=32', '63*2=126']
Exploring Operation: 126-32=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
Current State: 94:[92, 63, 2, 60], Operations: []
Exploring Operation: 92+2=94, Resulting Numbers: [63, 60, 94]
Generated Node #0,0: 94:[63, 60, 94] Operation: 92+2=94
Exploring Operation: 63-2=61, Resulting Numbers: [92, 60, 61]
Generated Node #0,1: 94:[92, 60, 61] Operation: 63-2=61
Exploring Operation: 63-60=3, Resulting Numbers: [92, 2, 3]
Generated Node #0,2: 94:[92, 2, 3] Operation: 63-60=3
Exploring Operation: 60-2=58, Resulting Numbers: [92, 63, 58]
Generated Node #0,3: 94:[92, 63, 58] Operation: 60-2=58
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[92, 2, 3], Operations: ['63-60=3']
Exploring Operation: 92/2=46, Resulting Numbers: [3, 46]
Generated Node #0,2,0: 94:[3, 46] Operation: 92/2=46
Exploring Operation: 92+3=95, Resulting Numbers: [2, 95]
Generated Node #0,2,1: 94:[2, 95] Operation: 92+3=95
Exploring Operation: 3-2=1, Resulting Numbers: [92, 1]
Generated Node #0,2,2: 94:[92, 1] Operation: 3-2=1
Exploring Operation: 92+2=94, Resulting Numbers: [3, 94]
Generated Node #0,2,3: 94:[3, 94] Operation: 92+2=94
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 94:[2, 95], Operations: ['63-60=3', '92+3=95']
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 2*95=190, Resulting Numbers: [190]
190,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 94:[3, 94], Operations: ['63-60=3', '92+2=94']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Exploring Operation: 3*94=282, Resulting Numbers: [282]
282,94 unequal: No Solution
Exploring Operation: 3+94=97, Resulting Numbers: [97]
97,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 94:[3, 46], Operations: ['63-60=3', '92/2=46']
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,94 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 94:[92, 1], Operations: ['63-60=3', '3-2=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,94 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,94 unequal: No Solution
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[63, 60, 94], Operations: ['92+2=94']
Exploring Operation: 94-60=34, Resulting Numbers: [63, 34]
Generated Node #0,0,0: 94:[63, 34] Operation: 94-60=34
Exploring Operation: 63+60=123, Resulting Numbers: [94, 123]
Generated Node #0,0,1: 94:[94, 123] Operation: 63+60=123
Exploring Operation: 94-63=31, Resulting Numbers: [60, 31]
Generated Node #0,0,2: 94:[60, 31] Operation: 94-63=31
Exploring Operation: 63-60=3, Resulting Numbers: [94, 3]
Generated Node #0,0,3: 94:[94, 3] Operation: 63-60=3
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 94:[94, 3], Operations: ['92+2=94', '63-60=3']
Exploring Operation: 94*3=282, Resulting Numbers: [282]
282,94 unequal: No Solution
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[63, 34], Operations: ['92+2=94', '94-60=34']
Exploring Operation: 63*34=2142, Resulting Numbers: [2142]
2142,94 unequal: No Solution
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[94, 123], Operations: ['92+2=94', '63+60=123']
Exploring Operation: 123-94=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 94*123=11562, Resulting Numbers: [11562]
11562,94 unequal: No Solution
Exploring Operation: 94+123=217, Resulting Numbers: [217]
217,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[60, 31], Operations: ['92+2=94', '94-63=31']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 60*31=1860, Resulting Numbers: [1860]
1860,94 unequal: No Solution
Exploring Operation: 60+31=91, Resulting Numbers: [91]
91,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[92, 60, 61], Operations: ['63-2=61']
Exploring Operation: 61-60=1, Resulting Numbers: [92, 1]
Generated Node #0,1,0: 94:[92, 1] Operation: 61-60=1
Exploring Operation: 92-61=31, Resulting Numbers: [60, 31]
Generated Node #0,1,1: 94:[60, 31] Operation: 92-61=31
Exploring Operation: 92-60=32, Resulting Numbers: [61, 32]
Generated Node #0,1,2: 94:[61, 32] Operation: 92-60=32
Exploring Operation: 60+61=121, Resulting Numbers: [92, 121]
Generated Node #0,1,3: 94:[92, 121] Operation: 60+61=121
Moving to Node #0,1,0
Current State: 94:[92, 1], Operations: ['63-2=61', '61-60=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,94 unequal: No Solution
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[61, 32], Operations: ['63-2=61', '92-60=32']
Exploring Operation: 61+32=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 61*32=1952, Resulting Numbers: [1952]
1952,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[60, 31], Operations: ['63-2=61', '92-61=31']
Exploring Operation: 60+31=91, Resulting Numbers: [91]
91,94 unequal: No Solution
Exploring Operation: 60*31=1860, Resulting Numbers: [1860]
1860,94 unequal: No Solution
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Moving to Node #0,1,3
Current State: 94:[92, 121], Operations: ['63-2=61', '60+61=121']
Exploring Operation: 92+121=213, Resulting Numbers: [213]
213,94 unequal: No Solution
Exploring Operation: 92*121=11132, Resulting Numbers: [11132]
11132,94 unequal: No Solution
Exploring Operation: 121-92=29, Resulting Numbers: [29]
29,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[92, 63, 58], Operations: ['60-2=58']
Exploring Operation: 92-63=29, Resulting Numbers: [58, 29]
Generated Node #0,3,0: 94:[58, 29] Operation: 92-63=29
Exploring Operation: 63-58=5, Resulting Numbers: [92, 5]
Generated Node #0,3,1: 94:[92, 5] Operation: 63-58=5
Exploring Operation: 92-58=34, Resulting Numbers: [63, 34]
Generated Node #0,3,2: 94:[63, 34] Operation: 92-58=34
Exploring Operation: 63+58=121, Resulting Numbers: [92, 121]
Generated Node #0,3,3: 94:[92, 121] Operation: 63+58=121
Moving to Node #0,3,1
Current State: 94:[92, 5], Operations: ['60-2=58', '63-58=5']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,94 unequal: No Solution
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[63, 34], Operations: ['60-2=58', '92-58=34']
Exploring Operation: 63*34=2142, Resulting Numbers: [2142]
2142,94 unequal: No Solution
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[58, 29], Operations: ['60-2=58', '92-63=29']
Exploring Operation: 58+29=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 58/29=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 58-29=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 58*29=1682, Resulting Numbers: [1682]
1682,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[92, 121], Operations: ['60-2=58', '63+58=121']
Exploring Operation: 121-92=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 92+121=213, Resulting Numbers: [213]
213,94 unequal: No Solution
Exploring Operation: 92*121=11132, Resulting Numbers: [11132]
11132,94 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
|
[
80,
10,
6,
21
] | 56
|
[
"80-10=70",
"6*21=126",
"126-70=56"
] |
Current State: 56:[80, 10, 6, 21], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [6, 21, 70]
Generated Node #2: [6, 21, 70] from Operation: 80-10=70
Current State: 56:[6, 21, 70], Operations: ['80-10=70']
Exploring Operation: 6*21=126, Resulting Numbers: [70, 126]
Generated Node #3: [70, 126] from Operation: 6*21=126
Current State: 56:[70, 126], Operations: ['80-10=70', '6*21=126']
Exploring Operation: 126-70=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[80, 10, 6, 21], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [6, 21, 70]
Generated Node #0,0: 56:[6, 21, 70] Operation: 80-10=70
Exploring Operation: 80-21=59, Resulting Numbers: [10, 6, 59]
Generated Node #0,1: 56:[10, 6, 59] Operation: 80-21=59
Exploring Operation: 80/10=8, Resulting Numbers: [6, 21, 8]
Generated Node #0,2: 56:[6, 21, 8] Operation: 80/10=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[10, 6, 59], Operations: ['80-21=59']
Exploring Operation: 10-6=4, Resulting Numbers: [59, 4]
Generated Node #0,1,0: 56:[59, 4] Operation: 10-6=4
Exploring Operation: 59-6=53, Resulting Numbers: [10, 53]
Generated Node #0,1,1: 56:[10, 53] Operation: 59-6=53
Exploring Operation: 10+6=16, Resulting Numbers: [59, 16]
Generated Node #0,1,2: 56:[59, 16] Operation: 10+6=16
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[59, 4], Operations: ['80-21=59', '10-6=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,56 unequal: No Solution
No 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: 56:[10, 53], Operations: ['80-21=59', '59-6=53']
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 10*53=530, Resulting Numbers: [530]
530,56 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,56 unequal: No Solution
No 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: 56:[59, 16], Operations: ['80-21=59', '10+6=16']
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,56 unequal: No Solution
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,56 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,56 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: 56:[6, 21, 8], Operations: ['80/10=8']
Exploring Operation: 21+8=29, Resulting Numbers: [6, 29]
Generated Node #0,2,0: 56:[6, 29] Operation: 21+8=29
Exploring Operation: 6+21=27, Resulting Numbers: [8, 27]
Generated Node #0,2,1: 56:[8, 27] Operation: 6+21=27
Exploring Operation: 21-6=15, Resulting Numbers: [8, 15]
Generated Node #0,2,2: 56:[8, 15] Operation: 21-6=15
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 56:[8, 27], Operations: ['80/10=8', '6+21=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,56 unequal: No Solution
No 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: 56:[8, 15], Operations: ['80/10=8', '21-6=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,56 unequal: No Solution
No 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: 56:[6, 29], Operations: ['80/10=8', '21+8=29']
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,56 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,56 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: 56:[6, 21, 70], Operations: ['80-10=70']
Exploring Operation: 70-21=49, Resulting Numbers: [6, 49]
Generated Node #0,0,0: 56:[6, 49] Operation: 70-21=49
Exploring Operation: 6+21=27, Resulting Numbers: [70, 27]
Generated Node #0,0,1: 56:[70, 27] Operation: 6+21=27
Exploring Operation: 21-6=15, Resulting Numbers: [70, 15]
Generated Node #0,0,2: 56:[70, 15] Operation: 21-6=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[6, 49], Operations: ['80-10=70', '70-21=49']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,56 unequal: No Solution
No 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: 56:[70, 27], Operations: ['80-10=70', '6+21=27']
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,56 unequal: No Solution
Exploring Operation: 70+27=97, Resulting Numbers: [97]
97,56 unequal: No Solution
Exploring Operation: 70*27=1890, Resulting Numbers: [1890]
1890,56 unequal: No Solution
No 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: 56:[70, 15], Operations: ['80-10=70', '21-6=15']
Exploring Operation: 70*15=1050, Resulting Numbers: [1050]
1050,56 unequal: No Solution
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,56 unequal: No Solution
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
8,
32,
13,
73
] | 15
|
[
"32/8=4",
"73-13=60",
"60/4=15"
] |
Current State: 15:[8, 32, 13, 73], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [13, 73, 4]
Generated Node #2: [13, 73, 4] from Operation: 32/8=4
Current State: 15:[13, 73, 4], Operations: ['32/8=4']
Exploring Operation: 73-13=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 73-13=60
Current State: 15:[4, 60], Operations: ['32/8=4', '73-13=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[8, 32, 13, 73], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [13, 73, 4]
Generated Node #0,0: 15:[13, 73, 4] Operation: 32/8=4
Exploring Operation: 73-32=41, Resulting Numbers: [8, 13, 41]
Generated Node #0,1: 15:[8, 13, 41] Operation: 73-32=41
Exploring Operation: 32-13=19, Resulting Numbers: [8, 73, 19]
Generated Node #0,2: 15:[8, 73, 19] Operation: 32-13=19
Moving to Node #0,1
Current State: 15:[8, 13, 41], Operations: ['73-32=41']
Exploring Operation: 13-8=5, Resulting Numbers: [41, 5]
Generated Node #0,1,0: 15:[41, 5] Operation: 13-8=5
Exploring Operation: 41-8=33, Resulting Numbers: [13, 33]
Generated Node #0,1,1: 15:[13, 33] Operation: 41-8=33
Exploring Operation: 41-13=28, Resulting Numbers: [8, 28]
Generated Node #0,1,2: 15:[8, 28] Operation: 41-13=28
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[8, 28], Operations: ['73-32=41', '41-13=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,15 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[13, 33], Operations: ['73-32=41', '41-8=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[41, 5], Operations: ['73-32=41', '13-8=5']
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 41*5=205, Resulting Numbers: [205]
205,15 unequal: No Solution
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,15 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: 15:[13, 73, 4], Operations: ['32/8=4']
Exploring Operation: 13+4=17, Resulting Numbers: [73, 17]
Generated Node #0,0,0: 15:[73, 17] Operation: 13+4=17
Exploring Operation: 73-4=69, Resulting Numbers: [13, 69]
Generated Node #0,0,1: 15:[13, 69] Operation: 73-4=69
Exploring Operation: 73-13=60, Resulting Numbers: [4, 60]
Generated Node #0,0,2: 15:[4, 60] Operation: 73-13=60
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[4, 60], Operations: ['32/8=4', '73-13=60']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[8, 32, 13, 73], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [13, 73, 4]
Generated Node #0,0: 15:[13, 73, 4] Operation: 32/8=4
Moving to Node #0,0
Current State: 15:[13, 73, 4], Operations: ['32/8=4']
Exploring Operation: 73-13=60, Resulting Numbers: [4, 60]
Generated Node #0,0,2: 15:[4, 60] Operation: 73-13=60
Moving to Node #0,0,2
Current State: 15:[4, 60], Operations: ['32/8=4', '73-13=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167
|
hs_3
|
sum_heuristic
|
[
7,
57,
75,
64
] | 26
|
[
"64-57=7",
"7*7=49",
"75-49=26"
] |
Current State: 26:[7, 57, 75, 64], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [7, 75, 7]
Generated Node #2: [7, 75, 7] from Operation: 64-57=7
Current State: 26:[7, 75, 7], Operations: ['64-57=7']
Exploring Operation: 7*7=49, Resulting Numbers: [75, 49]
Generated Node #3: [75, 49] from Operation: 7*7=49
Current State: 26:[75, 49], Operations: ['64-57=7', '7*7=49']
Exploring Operation: 75-49=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
Current State: 26:[7, 57, 75, 64], Operations: []
Exploring Operation: 57-7=50, Resulting Numbers: [75, 64, 50]
Generated Node #0,0: 26:[75, 64, 50] Operation: 57-7=50
Exploring Operation: 75-57=18, Resulting Numbers: [7, 64, 18]
Generated Node #0,1: 26:[7, 64, 18] Operation: 75-57=18
Exploring Operation: 75-64=11, Resulting Numbers: [7, 57, 11]
Generated Node #0,2: 26:[7, 57, 11] Operation: 75-64=11
Exploring Operation: 64-57=7, Resulting Numbers: [7, 75, 7]
Generated Node #0,3: 26:[7, 75, 7] Operation: 64-57=7
Moving to Node #0,2
Current State: 26:[7, 57, 11], Operations: ['75-64=11']
Exploring Operation: 11-7=4, Resulting Numbers: [57, 4]
Generated Node #0,2,0: 26:[57, 4] Operation: 11-7=4
Exploring Operation: 57-11=46, Resulting Numbers: [7, 46]
Generated Node #0,2,1: 26:[7, 46] Operation: 57-11=46
Exploring Operation: 57-7=50, Resulting Numbers: [11, 50]
Generated Node #0,2,2: 26:[11, 50] Operation: 57-7=50
Exploring Operation: 7+11=18, Resulting Numbers: [57, 18]
Generated Node #0,2,3: 26:[57, 18] Operation: 7+11=18
Moving to Node #0,1
Current State: 26:[7, 64, 18], Operations: ['75-57=18']
Exploring Operation: 18-7=11, Resulting Numbers: [64, 11]
Generated Node #0,1,0: 26:[64, 11] Operation: 18-7=11
Exploring Operation: 64-18=46, Resulting Numbers: [7, 46]
Generated Node #0,1,1: 26:[7, 46] Operation: 64-18=46
Exploring Operation: 7+18=25, Resulting Numbers: [64, 25]
Generated Node #0,1,2: 26:[64, 25] Operation: 7+18=25
Exploring Operation: 64-7=57, Resulting Numbers: [18, 57]
Generated Node #0,1,3: 26:[18, 57] Operation: 64-7=57
Moving to Node #0,3
Current State: 26:[7, 75, 7], Operations: ['64-57=7']
Exploring Operation: 75-7=68, Resulting Numbers: [7, 68]
Generated Node #0,3,0: 26:[7, 68] Operation: 75-7=68
Exploring Operation: 75-7=68, Resulting Numbers: [7, 68]
Generated Node #0,3,1: 26:[7, 68] Operation: 75-7=68
Exploring Operation: 7/7=1, Resulting Numbers: [75, 1]
Generated Node #0,3,2: 26:[75, 1] Operation: 7/7=1
Exploring Operation: 7+7=14, Resulting Numbers: [75, 14]
Generated Node #0,3,3: 26:[75, 14] Operation: 7+7=14
Moving to Node #0,0
Current State: 26:[75, 64, 50], Operations: ['57-7=50']
Exploring Operation: 75-50=25, Resulting Numbers: [64, 25]
Generated Node #0,0,0: 26:[64, 25] Operation: 75-50=25
Exploring Operation: 75+64=139, Resulting Numbers: [50, 139]
Generated Node #0,0,1: 26:[50, 139] Operation: 75+64=139
Exploring Operation: 75-64=11, Resulting Numbers: [50, 11]
Generated Node #0,0,2: 26:[50, 11] Operation: 75-64=11
Exploring Operation: 64-50=14, Resulting Numbers: [75, 14]
Generated Node #0,0,3: 26:[75, 14] Operation: 64-50=14
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 26:[50, 11], Operations: ['57-7=50', '75-64=11']
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 50*11=550, Resulting Numbers: [550]
550,26 unequal: No Solution
No 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: 26:[64, 25], Operations: ['57-7=50', '75-50=25']
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 64*25=1600, Resulting Numbers: [1600]
1600,26 unequal: No Solution
Exploring Operation: 64+25=89, Resulting Numbers: [89]
89,26 unequal: No Solution
No 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: 26:[75, 14], Operations: ['57-7=50', '64-50=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,26 unequal: No Solution
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,26 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,26 unequal: No Solution
No 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: 26:[50, 139], Operations: ['57-7=50', '75+64=139']
Exploring Operation: 50*139=6950, Resulting Numbers: [6950]
6950,26 unequal: No Solution
Exploring Operation: 50+139=189, Resulting Numbers: [189]
189,26 unequal: No Solution
Exploring Operation: 139-50=89, Resulting Numbers: [89]
89,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 26:[7, 46], Operations: ['75-64=11', '57-11=46']
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 7*46=322, Resulting Numbers: [322]
322,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[7, 46], Operations: ['75-57=18', '64-18=46']
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 7*46=322, Resulting Numbers: [322]
322,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[11, 50], Operations: ['75-64=11', '57-7=50']
Exploring Operation: 11*50=550, Resulting Numbers: [550]
550,26 unequal: No Solution
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[57, 4], Operations: ['75-64=11', '11-7=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,26 unequal: No Solution
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[18, 57], Operations: ['75-57=18', '64-7=57']
Exploring Operation: 18+57=75, Resulting Numbers: [75]
75,26 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 18*57=1026, Resulting Numbers: [1026]
1026,26 unequal: No Solution
Moving to Node #0,2,3
Current State: 26:[57, 18], Operations: ['75-64=11', '7+11=18']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,26 unequal: No Solution
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[64, 25], Operations: ['75-57=18', '7+18=25']
Exploring Operation: 64*25=1600, Resulting Numbers: [1600]
1600,26 unequal: No Solution
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 64+25=89, Resulting Numbers: [89]
89,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[64, 11], Operations: ['75-57=18', '18-7=11']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,26 unequal: No Solution
Exploring Operation: 64*11=704, Resulting Numbers: [704]
704,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[7, 68], Operations: ['64-57=7', '75-7=68']
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,26 unequal: No Solution
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,26 unequal: No Solution
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[7, 68], Operations: ['64-57=7', '75-7=68']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,26 unequal: No Solution
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[75, 1], Operations: ['64-57=7', '7/7=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,26 unequal: No Solution
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,26 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[75, 14], Operations: ['64-57=7', '7+7=14']
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,26 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,26 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
74,
90,
81,
13
] | 11
|
[
"81-74=7",
"90-13=77",
"77/7=11"
] |
Current State: 11:[74, 90, 81, 13], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [90, 13, 7]
Generated Node #2: [90, 13, 7] from Operation: 81-74=7
Current State: 11:[90, 13, 7], Operations: ['81-74=7']
Exploring Operation: 90-13=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 90-13=77
Current State: 11:[7, 77], Operations: ['81-74=7', '90-13=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[74, 90, 81, 13], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [90, 13, 7]
Generated Node #0,0: 11:[90, 13, 7] Operation: 81-74=7
Exploring Operation: 90-74=16, Resulting Numbers: [81, 13, 16]
Generated Node #0,1: 11:[81, 13, 16] Operation: 90-74=16
Exploring Operation: 90-81=9, Resulting Numbers: [74, 13, 9]
Generated Node #0,2: 11:[74, 13, 9] Operation: 90-81=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[74, 13, 9], Operations: ['90-81=9']
Exploring Operation: 74-13=61, Resulting Numbers: [9, 61]
Generated Node #0,2,0: 11:[9, 61] Operation: 74-13=61
Exploring Operation: 13-9=4, Resulting Numbers: [74, 4]
Generated Node #0,2,1: 11:[74, 4] Operation: 13-9=4
Exploring Operation: 74-9=65, Resulting Numbers: [13, 65]
Generated Node #0,2,2: 11:[13, 65] Operation: 74-9=65
Moving to Node #0,2,0
Current State: 11:[9, 61], Operations: ['90-81=9', '74-13=61']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,11 unequal: No Solution
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[13, 65], Operations: ['90-81=9', '74-9=65']
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 65/13=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 13+65=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[74, 4], Operations: ['90-81=9', '13-9=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 74*4=296, Resulting Numbers: [296]
296,11 unequal: No Solution
Exploring Operation: 74-4=70, Resulting Numbers: [70]
70,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[81, 13, 16], Operations: ['90-74=16']
Exploring Operation: 81-13=68, Resulting Numbers: [16, 68]
Generated Node #0,1,0: 11:[16, 68] Operation: 81-13=68
Exploring Operation: 81-16=65, Resulting Numbers: [13, 65]
Generated Node #0,1,1: 11:[13, 65] Operation: 81-16=65
Exploring Operation: 16-13=3, Resulting Numbers: [81, 3]
Generated Node #0,1,2: 11:[81, 3] Operation: 16-13=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[13, 65], Operations: ['90-74=16', '81-16=65']
Exploring Operation: 65/13=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 13+65=78, Resulting Numbers: [78]
78,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[16, 68], Operations: ['90-74=16', '81-13=68']
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,11 unequal: No Solution
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Exploring Operation: 16*68=1088, Resulting Numbers: [1088]
1088,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[81, 3], Operations: ['90-74=16', '16-13=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[90, 13, 7], Operations: ['81-74=7']
Exploring Operation: 90-13=77, Resulting Numbers: [7, 77]
Generated Node #0,0,0: 11:[7, 77] Operation: 90-13=77
Exploring Operation: 90-7=83, Resulting Numbers: [13, 83]
Generated Node #0,0,1: 11:[13, 83] Operation: 90-7=83
Exploring Operation: 13-7=6, Resulting Numbers: [90, 6]
Generated Node #0,0,2: 11:[90, 6] Operation: 13-7=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[7, 77], Operations: ['81-74=7', '90-13=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[74, 90, 81, 13], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [90, 13, 7]
Generated Node #0,0: 11:[90, 13, 7] Operation: 81-74=7
Moving to Node #0,0
Current State: 11:[90, 13, 7], Operations: ['81-74=7']
Exploring Operation: 90-13=77, Resulting Numbers: [7, 77]
Generated Node #0,0,0: 11:[7, 77] Operation: 90-13=77
Moving to Node #0,0,0
Current State: 11:[7, 77], Operations: ['81-74=7', '90-13=77']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618
|
hs_3
|
mult_heuristic
|
[
38,
78,
60,
41
] | 86
|
[
"41-38=3",
"78/3=26",
"60+26=86"
] |
Current State: 86:[38, 78, 60, 41], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [78, 60, 3]
Generated Node #2: [78, 60, 3] from Operation: 41-38=3
Current State: 86:[78, 60, 3], Operations: ['41-38=3']
Exploring Operation: 78/3=26, Resulting Numbers: [60, 26]
Generated Node #3: [60, 26] from Operation: 78/3=26
Current State: 86:[60, 26], Operations: ['41-38=3', '78/3=26']
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[38, 78, 60, 41], Operations: []
Exploring Operation: 78-38=40, Resulting Numbers: [60, 41, 40]
Generated Node #0,0: 86:[60, 41, 40] Operation: 78-38=40
Exploring Operation: 78-60=18, Resulting Numbers: [38, 41, 18]
Generated Node #0,1: 86:[38, 41, 18] Operation: 78-60=18
Exploring Operation: 78-41=37, Resulting Numbers: [38, 60, 37]
Generated Node #0,2: 86:[38, 60, 37] Operation: 78-41=37
Exploring Operation: 41-38=3, Resulting Numbers: [78, 60, 3]
Generated Node #0,3: 86:[78, 60, 3] Operation: 41-38=3
Exploring Operation: 38+60=98, Resulting Numbers: [78, 41, 98]
Generated Node #0,4: 86:[78, 41, 98] Operation: 38+60=98
Moving to Node #0,0
Current State: 86:[60, 41, 40], Operations: ['78-38=40']
Exploring Operation: 60+40=100, Resulting Numbers: [41, 100]
Generated Node #0,0,0: 86:[41, 100] Operation: 60+40=100
Exploring Operation: 60+41=101, Resulting Numbers: [40, 101]
Generated Node #0,0,1: 86:[40, 101] Operation: 60+41=101
Exploring Operation: 60-41=19, Resulting Numbers: [40, 19]
Generated Node #0,0,2: 86:[40, 19] Operation: 60-41=19
Exploring Operation: 60-40=20, Resulting Numbers: [41, 20]
Generated Node #0,0,3: 86:[41, 20] Operation: 60-40=20
Exploring Operation: 41-40=1, Resulting Numbers: [60, 1]
Generated Node #0,0,4: 86:[60, 1] Operation: 41-40=1
Moving to Node #0,4
Current State: 86:[78, 41, 98], Operations: ['38+60=98']
Exploring Operation: 78-41=37, Resulting Numbers: [98, 37]
Generated Node #0,4,0: 86:[98, 37] Operation: 78-41=37
Exploring Operation: 41+98=139, Resulting Numbers: [78, 139]
Generated Node #0,4,1: 86:[78, 139] Operation: 41+98=139
Exploring Operation: 98-78=20, Resulting Numbers: [41, 20]
Generated Node #0,4,2: 86:[41, 20] Operation: 98-78=20
Exploring Operation: 78+41=119, Resulting Numbers: [98, 119]
Generated Node #0,4,3: 86:[98, 119] Operation: 78+41=119
Exploring Operation: 98-41=57, Resulting Numbers: [78, 57]
Generated Node #0,4,4: 86:[78, 57] Operation: 98-41=57
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 86:[98, 37], Operations: ['38+60=98', '78-41=37']
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 98+37=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 98*37=3626, Resulting Numbers: [3626]
3626,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 86:[41, 20], Operations: ['38+60=98', '98-78=20']
Exploring Operation: 41+20=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 41*20=820, Resulting Numbers: [820]
820,86 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 86:[78, 57], Operations: ['38+60=98', '98-41=57']
Exploring Operation: 78*57=4446, Resulting Numbers: [4446]
4446,86 unequal: No Solution
Exploring Operation: 78+57=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 78-57=21, Resulting Numbers: [21]
21,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 86:[98, 119], Operations: ['38+60=98', '78+41=119']
Exploring Operation: 98+119=217, Resulting Numbers: [217]
217,86 unequal: No Solution
Exploring Operation: 98*119=11662, Resulting Numbers: [11662]
11662,86 unequal: No Solution
Exploring Operation: 119-98=21, Resulting Numbers: [21]
21,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 86:[78, 139], Operations: ['38+60=98', '41+98=139']
Exploring Operation: 78*139=10842, Resulting Numbers: [10842]
10842,86 unequal: No Solution
Exploring Operation: 139-78=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 78+139=217, Resulting Numbers: [217]
217,86 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: 86:[38, 41, 18], Operations: ['78-60=18']
Exploring Operation: 41-38=3, Resulting Numbers: [18, 3]
Generated Node #0,1,0: 86:[18, 3] Operation: 41-38=3
Exploring Operation: 38+41=79, Resulting Numbers: [18, 79]
Generated Node #0,1,1: 86:[18, 79] Operation: 38+41=79
Exploring Operation: 38+18=56, Resulting Numbers: [41, 56]
Generated Node #0,1,2: 86:[41, 56] Operation: 38+18=56
Exploring Operation: 41+18=59, Resulting Numbers: [38, 59]
Generated Node #0,1,3: 86:[38, 59] Operation: 41+18=59
Exploring Operation: 38-18=20, Resulting Numbers: [41, 20]
Generated Node #0,1,4: 86:[41, 20] Operation: 38-18=20
Moving to Node #0,3
Current State: 86:[78, 60, 3], Operations: ['41-38=3']
Exploring Operation: 60/3=20, Resulting Numbers: [78, 20]
Generated Node #0,3,0: 86:[78, 20] Operation: 60/3=20
Exploring Operation: 60-3=57, Resulting Numbers: [78, 57]
Generated Node #0,3,1: 86:[78, 57] Operation: 60-3=57
Exploring Operation: 78-60=18, Resulting Numbers: [3, 18]
Generated Node #0,3,2: 86:[3, 18] Operation: 78-60=18
Exploring Operation: 78-3=75, Resulting Numbers: [60, 75]
Generated Node #0,3,3: 86:[60, 75] Operation: 78-3=75
Exploring Operation: 78+3=81, Resulting Numbers: [60, 81]
Generated Node #0,3,4: 86:[60, 81] Operation: 78+3=81
Moving to Node #0,2
Current State: 86:[38, 60, 37], Operations: ['78-41=37']
Exploring Operation: 60-37=23, Resulting Numbers: [38, 23]
Generated Node #0,2,0: 86:[38, 23] Operation: 60-37=23
Exploring Operation: 38-37=1, Resulting Numbers: [60, 1]
Generated Node #0,2,1: 86:[60, 1] Operation: 38-37=1
Exploring Operation: 60+37=97, Resulting Numbers: [38, 97]
Generated Node #0,2,2: 86:[38, 97] Operation: 60+37=97
Exploring Operation: 38+60=98, Resulting Numbers: [37, 98]
Generated Node #0,2,3: 86:[37, 98] Operation: 38+60=98
Exploring Operation: 60-38=22, Resulting Numbers: [37, 22]
Generated Node #0,2,4: 86:[37, 22] Operation: 60-38=22
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[38, 97], Operations: ['78-41=37', '60+37=97']
Exploring Operation: 38+97=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 97-38=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Exploring Operation: 38*97=3686, Resulting Numbers: [3686]
3686,86 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 #0,2,1
Current State: 86:[60, 1], Operations: ['78-41=37', '38-37=1']
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,86 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 #0,2,3
Current State: 86:[37, 98], Operations: ['78-41=37', '38+60=98']
Exploring Operation: 37+98=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 37*98=3626, Resulting Numbers: [3626]
3626,86 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 #0,2,0
Current State: 86:[38, 23], Operations: ['78-41=37', '60-37=23']
Exploring Operation: 38*23=874, Resulting Numbers: [874]
874,86 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 38+23=61, Resulting Numbers: [61]
61,86 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 #0,2,4
Current State: 86:[37, 22], Operations: ['78-41=37', '60-38=22']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 37*22=814, Resulting Numbers: [814]
814,86 unequal: No Solution
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 86:[41, 56], Operations: ['78-60=18', '38+18=56']
Exploring Operation: 41+56=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 41*56=2296, Resulting Numbers: [2296]
2296,86 unequal: No Solution
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[41, 100], Operations: ['78-38=40', '60+40=100']
Exploring Operation: 100-41=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Exploring Operation: 41+100=141, Resulting Numbers: [141]
141,86 unequal: No Solution
Exploring Operation: 41*100=4100, Resulting Numbers: [4100]
4100,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[18, 3], Operations: ['78-60=18', '41-38=3']
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[3, 18], Operations: ['41-38=3', '78-60=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,86 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Moving to Node #0,0,4
Current State: 86:[60, 1], Operations: ['78-38=40', '41-40=1']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[40, 101], Operations: ['78-38=40', '60+41=101']
Exploring Operation: 40+101=141, Resulting Numbers: [141]
141,86 unequal: No Solution
Exploring Operation: 101-40=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 40*101=4040, Resulting Numbers: [4040]
4040,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[41, 20], Operations: ['78-38=40', '60-40=20']
Exploring Operation: 41+20=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 41*20=820, Resulting Numbers: [820]
820,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[40, 19], Operations: ['78-38=40', '60-41=19']
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,86 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,86 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Moving to Node #0,1,4
Current State: 86:[41, 20], Operations: ['78-60=18', '38-18=20']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 41+20=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 41*20=820, Resulting Numbers: [820]
820,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[38, 59], Operations: ['78-60=18', '41+18=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 38*59=2242, Resulting Numbers: [2242]
2242,86 unequal: No Solution
Exploring Operation: 59-38=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Moving to Node #0,3,4
Current State: 86:[60, 81], Operations: ['41-38=3', '78+3=81']
Exploring Operation: 60+81=141, Resulting Numbers: [141]
141,86 unequal: No Solution
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 60*81=4860, Resulting Numbers: [4860]
4860,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[78, 57], Operations: ['41-38=3', '60-3=57']
Exploring Operation: 78-57=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 78*57=4446, Resulting Numbers: [4446]
4446,86 unequal: No Solution
Exploring Operation: 78+57=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[18, 79], Operations: ['78-60=18', '38+41=79']
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 18*79=1422, Resulting Numbers: [1422]
1422,86 unequal: No Solution
Exploring Operation: 18+79=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[78, 20], Operations: ['41-38=3', '60/3=20']
Exploring Operation: 78*20=1560, Resulting Numbers: [1560]
1560,86 unequal: No Solution
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,86 unequal: No Solution
Exploring Operation: 78+20=98, Resulting Numbers: [98]
98,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[60, 75], Operations: ['41-38=3', '78-3=75']
Exploring Operation: 60+75=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 75-60=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 60*75=4500, Resulting Numbers: [4500]
4500,86 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
45,
23,
15,
75
] | 64
|
[
"45*23=1035",
"1035-75=960",
"960/15=64"
] |
Current State: 64:[45, 23, 15, 75], Operations: []
Exploring Operation: 45*23=1035, Resulting Numbers: [15, 75, 1035]
Generated Node #2: [15, 75, 1035] from Operation: 45*23=1035
Current State: 64:[15, 75, 1035], Operations: ['45*23=1035']
Exploring Operation: 1035-75=960, Resulting Numbers: [15, 960]
Generated Node #3: [15, 960] from Operation: 1035-75=960
Current State: 64:[15, 960], Operations: ['45*23=1035', '1035-75=960']
Exploring Operation: 960/15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[45, 23, 15, 75], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [15, 75, 22]
Generated Node #0,0: 64:[15, 75, 22] Operation: 45-23=22
Exploring Operation: 75-45=30, Resulting Numbers: [23, 15, 30]
Generated Node #0,1: 64:[23, 15, 30] Operation: 75-45=30
Exploring Operation: 45+23=68, Resulting Numbers: [15, 75, 68]
Generated Node #0,2: 64:[15, 75, 68] Operation: 45+23=68
Moving to Node #0,1
Current State: 64:[23, 15, 30], Operations: ['75-45=30']
Exploring Operation: 23-15=8, Resulting Numbers: [30, 8]
Generated Node #0,1,0: 64:[30, 8] Operation: 23-15=8
Exploring Operation: 30/15=2, Resulting Numbers: [23, 2]
Generated Node #0,1,1: 64:[23, 2] Operation: 30/15=2
Exploring Operation: 30-23=7, Resulting Numbers: [15, 7]
Generated Node #0,1,2: 64:[15, 7] Operation: 30-23=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[30, 8], Operations: ['75-45=30', '23-15=8']
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,64 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[15, 7], Operations: ['75-45=30', '30-23=7']
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,64 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[23, 2], Operations: ['75-45=30', '30/15=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,64 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,64 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: 64:[15, 75, 68], Operations: ['45+23=68']
Exploring Operation: 75/15=5, Resulting Numbers: [68, 5]
Generated Node #0,2,0: 64:[68, 5] Operation: 75/15=5
Exploring Operation: 75-15=60, Resulting Numbers: [68, 60]
Generated Node #0,2,1: 64:[68, 60] Operation: 75-15=60
Exploring Operation: 75-68=7, Resulting Numbers: [15, 7]
Generated Node #0,2,2: 64:[15, 7] Operation: 75-68=7
Moving to Node #0,0
Current State: 64:[15, 75, 22], Operations: ['45-23=22']
Exploring Operation: 22-15=7, Resulting Numbers: [75, 7]
Generated Node #0,0,0: 64:[75, 7] Operation: 22-15=7
Exploring Operation: 75/15=5, Resulting Numbers: [22, 5]
Generated Node #0,0,1: 64:[22, 5] Operation: 75/15=5
Exploring Operation: 75-15=60, Resulting Numbers: [22, 60]
Generated Node #0,0,2: 64:[22, 60] Operation: 75-15=60
Moving to Node #0,2,2
Current State: 64:[15, 7], Operations: ['45+23=68', '75-68=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,64 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[68, 5], Operations: ['45+23=68', '75/15=5']
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,64 unequal: No Solution
Exploring Operation: 68*5=340, Resulting Numbers: [340]
340,64 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[22, 5], Operations: ['45-23=22', '75/15=5']
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,64 unequal: No Solution
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[68, 60], Operations: ['45+23=68', '75-15=60']
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 68*60=4080, Resulting Numbers: [4080]
4080,64 unequal: No Solution
Exploring Operation: 68+60=128, Resulting Numbers: [128]
128,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[22, 60], Operations: ['45-23=22', '75-15=60']
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,64 unequal: No Solution
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,64 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[75, 7], Operations: ['45-23=22', '22-15=7']
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,64 unequal: No Solution
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,64 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,64 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
11,
60,
20,
1
] | 62
|
[
"11-1=10",
"20/10=2",
"60+2=62"
] |
Current State: 62:[11, 60, 20, 1], Operations: []
Exploring Operation: 11-1=10, Resulting Numbers: [60, 20, 10]
Generated Node #2: [60, 20, 10] from Operation: 11-1=10
Current State: 62:[60, 20, 10], Operations: ['11-1=10']
Exploring Operation: 20/10=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 20/10=2
Current State: 62:[60, 2], Operations: ['11-1=10', '20/10=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[11, 60, 20, 1], Operations: []
Exploring Operation: 20-11=9, Resulting Numbers: [60, 1, 9]
Generated Node #0,0: 62:[60, 1, 9] Operation: 20-11=9
Exploring Operation: 60/20=3, Resulting Numbers: [11, 1, 3]
Generated Node #0,1: 62:[11, 1, 3] Operation: 60/20=3
Exploring Operation: 11+20=31, Resulting Numbers: [60, 1, 31]
Generated Node #0,2: 62:[60, 1, 31] Operation: 11+20=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[60, 1, 31], Operations: ['11+20=31']
Exploring Operation: 60+1=61, Resulting Numbers: [31, 61]
Generated Node #0,2,0: 62:[31, 61] Operation: 60+1=61
Exploring Operation: 60*1=60, Resulting Numbers: [31, 60]
Generated Node #0,2,1: 62:[31, 60] Operation: 60*1=60
Exploring Operation: 60/1=60, Resulting Numbers: [31, 60]
Generated Node #0,2,2: 62:[31, 60] Operation: 60/1=60
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[31, 61], Operations: ['11+20=31', '60+1=61']
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 31*61=1891, Resulting Numbers: [1891]
1891,62 unequal: No Solution
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[31, 60], Operations: ['11+20=31', '60*1=60']
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,62 unequal: No Solution
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 31*60=1860, Resulting Numbers: [1860]
1860,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[31, 60], Operations: ['11+20=31', '60/1=60']
Exploring Operation: 31+60=91, Resulting Numbers: [91]
91,62 unequal: No Solution
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 31*60=1860, Resulting Numbers: [1860]
1860,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[60, 1, 9], Operations: ['20-11=9']
Exploring Operation: 60+1=61, Resulting Numbers: [9, 61]
Generated Node #0,0,0: 62:[9, 61] Operation: 60+1=61
Exploring Operation: 60+9=69, Resulting Numbers: [1, 69]
Generated Node #0,0,1: 62:[1, 69] Operation: 60+9=69
Exploring Operation: 9-1=8, Resulting Numbers: [60, 8]
Generated Node #0,0,2: 62:[60, 8] Operation: 9-1=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[9, 61], Operations: ['20-11=9', '60+1=61']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,62 unequal: No Solution
Exploring Operation: 9*61=549, Resulting Numbers: [549]
549,62 unequal: No Solution
Exploring Operation: 9+61=70, Resulting Numbers: [70]
70,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[1, 69], Operations: ['20-11=9', '60+9=69']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 1*69=69, Resulting Numbers: [69]
69,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[60, 8], Operations: ['20-11=9', '9-1=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,62 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[11, 1, 3], Operations: ['60/20=3']
Exploring Operation: 11-3=8, Resulting Numbers: [1, 8]
Generated Node #0,1,0: 62:[1, 8] Operation: 11-3=8
Exploring Operation: 11*3=33, Resulting Numbers: [1, 33]
Generated Node #0,1,1: 62:[1, 33] Operation: 11*3=33
Exploring Operation: 11-1=10, Resulting Numbers: [3, 10]
Generated Node #0,1,2: 62:[3, 10] Operation: 11-1=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[1, 33], Operations: ['60/20=3', '11*3=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,62 unequal: No Solution
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[1, 8], Operations: ['60/20=3', '11-3=8']
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,62 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[3, 10], Operations: ['60/20=3', '11-1=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,62 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
70,
13,
20,
19
] | 17
|
[
"70-13=57",
"57/19=3",
"20-3=17"
] |
Current State: 17:[70, 13, 20, 19], Operations: []
Exploring Operation: 70-13=57, Resulting Numbers: [20, 19, 57]
Generated Node #2: [20, 19, 57] from Operation: 70-13=57
Current State: 17:[20, 19, 57], Operations: ['70-13=57']
Exploring Operation: 57/19=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 57/19=3
Current State: 17:[20, 3], Operations: ['70-13=57', '57/19=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[70, 13, 20, 19], Operations: []
Exploring Operation: 70-20=50, Resulting Numbers: [13, 19, 50]
Generated Node #0,0: 17:[13, 19, 50] Operation: 70-20=50
Exploring Operation: 70-13=57, Resulting Numbers: [20, 19, 57]
Generated Node #0,1: 17:[20, 19, 57] Operation: 70-13=57
Exploring Operation: 70-19=51, Resulting Numbers: [13, 20, 51]
Generated Node #0,2: 17:[13, 20, 51] Operation: 70-19=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[13, 19, 50], Operations: ['70-20=50']
Exploring Operation: 50-19=31, Resulting Numbers: [13, 31]
Generated Node #0,0,0: 17:[13, 31] Operation: 50-19=31
Exploring Operation: 19-13=6, Resulting Numbers: [50, 6]
Generated Node #0,0,1: 17:[50, 6] Operation: 19-13=6
Exploring Operation: 50-13=37, Resulting Numbers: [19, 37]
Generated Node #0,0,2: 17:[19, 37] Operation: 50-13=37
Moving to Node #0,0,0
Current State: 17:[13, 31], Operations: ['70-20=50', '50-19=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,17 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,17 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[19, 37], Operations: ['70-20=50', '50-13=37']
Exploring Operation: 19*37=703, Resulting Numbers: [703]
703,17 unequal: No Solution
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[50, 6], Operations: ['70-20=50', '19-13=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,17 unequal: No Solution
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,17 unequal: No Solution
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,17 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
Current State: 17:[13, 20, 51], Operations: ['70-19=51']
Exploring Operation: 51-13=38, Resulting Numbers: [20, 38]
Generated Node #0,2,0: 17:[20, 38] Operation: 51-13=38
Exploring Operation: 51-20=31, Resulting Numbers: [13, 31]
Generated Node #0,2,1: 17:[13, 31] Operation: 51-20=31
Exploring Operation: 20-13=7, Resulting Numbers: [51, 7]
Generated Node #0,2,2: 17:[51, 7] Operation: 20-13=7
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[13, 31], Operations: ['70-19=51', '51-20=31']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,17 unequal: No Solution
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,17 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,17 unequal: No Solution
No 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: 17:[20, 38], Operations: ['70-19=51', '51-13=38']
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,17 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,17 unequal: No Solution
No 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: 17:[51, 7], Operations: ['70-19=51', '20-13=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,17 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,17 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: 17:[20, 19, 57], Operations: ['70-13=57']
Exploring Operation: 57-20=37, Resulting Numbers: [19, 37]
Generated Node #0,1,0: 17:[19, 37] Operation: 57-20=37
Exploring Operation: 57-19=38, Resulting Numbers: [20, 38]
Generated Node #0,1,1: 17:[20, 38] Operation: 57-19=38
Exploring Operation: 57/19=3, Resulting Numbers: [20, 3]
Generated Node #0,1,2: 17:[20, 3] Operation: 57/19=3
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 17:[20, 3], Operations: ['70-13=57', '57/19=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[70, 13, 20, 19], Operations: []
Exploring Operation: 70-13=57, Resulting Numbers: [20, 19, 57]
Generated Node #0,1: 17:[20, 19, 57] Operation: 70-13=57
Moving to Node #0,1
Current State: 17:[20, 19, 57], Operations: ['70-13=57']
Exploring Operation: 57/19=3, Resulting Numbers: [20, 3]
Generated Node #0,1,2: 17:[20, 3] Operation: 57/19=3
Moving to Node #0,1,2
Current State: 17:[20, 3], Operations: ['70-13=57', '57/19=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618
|
hs_3
|
sum_heuristic
|
[
81,
85,
96,
73
] | 73
|
[
"81-73=8",
"96/8=12",
"85-12=73"
] |
Current State: 73:[81, 85, 96, 73], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [85, 96, 8]
Generated Node #2: [85, 96, 8] from Operation: 81-73=8
Current State: 73:[85, 96, 8], Operations: ['81-73=8']
Exploring Operation: 96/8=12, Resulting Numbers: [85, 12]
Generated Node #3: [85, 12] from Operation: 96/8=12
Current State: 73:[85, 12], Operations: ['81-73=8', '96/8=12']
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
Current State: 73:[81, 85, 96, 73], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [81, 73, 11]
Generated Node #0,0: 73:[81, 73, 11] Operation: 96-85=11
Exploring Operation: 85-73=12, Resulting Numbers: [81, 96, 12]
Generated Node #0,1: 73:[81, 96, 12] Operation: 85-73=12
Exploring Operation: 96-81=15, Resulting Numbers: [85, 73, 15]
Generated Node #0,2: 73:[85, 73, 15] Operation: 96-81=15
Exploring Operation: 96-73=23, Resulting Numbers: [81, 85, 23]
Generated Node #0,3: 73:[81, 85, 23] Operation: 96-73=23
Exploring Operation: 85-81=4, Resulting Numbers: [96, 73, 4]
Generated Node #0,4: 73:[96, 73, 4] Operation: 85-81=4
Moving to Node #0,0
Current State: 73:[81, 73, 11], Operations: ['96-85=11']
Exploring Operation: 73-11=62, Resulting Numbers: [81, 62]
Generated Node #0,0,0: 73:[81, 62] Operation: 73-11=62
Exploring Operation: 81-73=8, Resulting Numbers: [11, 8]
Generated Node #0,0,1: 73:[11, 8] Operation: 81-73=8
Exploring Operation: 81-11=70, Resulting Numbers: [73, 70]
Generated Node #0,0,2: 73:[73, 70] Operation: 81-11=70
Exploring Operation: 81+11=92, Resulting Numbers: [73, 92]
Generated Node #0,0,3: 73:[73, 92] Operation: 81+11=92
Exploring Operation: 73+11=84, Resulting Numbers: [81, 84]
Generated Node #0,0,4: 73:[81, 84] Operation: 73+11=84
Moving to Node #0,3
Current State: 73:[81, 85, 23], Operations: ['96-73=23']
Exploring Operation: 81+23=104, Resulting Numbers: [85, 104]
Generated Node #0,3,0: 73:[85, 104] Operation: 81+23=104
Exploring Operation: 85-81=4, Resulting Numbers: [23, 4]
Generated Node #0,3,1: 73:[23, 4] Operation: 85-81=4
Exploring Operation: 81-23=58, Resulting Numbers: [85, 58]
Generated Node #0,3,2: 73:[85, 58] Operation: 81-23=58
Exploring Operation: 85-23=62, Resulting Numbers: [81, 62]
Generated Node #0,3,3: 73:[81, 62] Operation: 85-23=62
Exploring Operation: 85+23=108, Resulting Numbers: [81, 108]
Generated Node #0,3,4: 73:[81, 108] Operation: 85+23=108
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[81, 62], Operations: ['96-73=23', '85-23=62']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 81*62=5022, Resulting Numbers: [5022]
5022,73 unequal: No Solution
Exploring Operation: 81+62=143, Resulting Numbers: [143]
143,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[85, 58], Operations: ['96-73=23', '81-23=58']
Exploring Operation: 85+58=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 85*58=4930, Resulting Numbers: [4930]
4930,73 unequal: No Solution
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[85, 104], Operations: ['96-73=23', '81+23=104']
Exploring Operation: 85*104=8840, Resulting Numbers: [8840]
8840,73 unequal: No Solution
Exploring Operation: 104-85=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 85+104=189, Resulting Numbers: [189]
189,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 73:[81, 108], Operations: ['96-73=23', '85+23=108']
Exploring Operation: 108-81=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 81*108=8748, Resulting Numbers: [8748]
8748,73 unequal: No Solution
Exploring Operation: 81+108=189, Resulting Numbers: [189]
189,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[23, 4], Operations: ['96-73=23', '85-81=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,73 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: 73:[85, 73, 15], Operations: ['96-81=15']
Exploring Operation: 85-73=12, Resulting Numbers: [15, 12]
Generated Node #0,2,0: 73:[15, 12] Operation: 85-73=12
Exploring Operation: 85-15=70, Resulting Numbers: [73, 70]
Generated Node #0,2,1: 73:[73, 70] Operation: 85-15=70
Exploring Operation: 73+15=88, Resulting Numbers: [85, 88]
Generated Node #0,2,2: 73:[85, 88] Operation: 73+15=88
Exploring Operation: 85+15=100, Resulting Numbers: [73, 100]
Generated Node #0,2,3: 73:[73, 100] Operation: 85+15=100
Exploring Operation: 73-15=58, Resulting Numbers: [85, 58]
Generated Node #0,2,4: 73:[85, 58] Operation: 73-15=58
Moving to Node #0,1
Current State: 73:[81, 96, 12], Operations: ['85-73=12']
Exploring Operation: 96+12=108, Resulting Numbers: [81, 108]
Generated Node #0,1,0: 73:[81, 108] Operation: 96+12=108
Exploring Operation: 96/12=8, Resulting Numbers: [81, 8]
Generated Node #0,1,1: 73:[81, 8] Operation: 96/12=8
Exploring Operation: 81+12=93, Resulting Numbers: [96, 93]
Generated Node #0,1,2: 73:[96, 93] Operation: 81+12=93
Exploring Operation: 81-12=69, Resulting Numbers: [96, 69]
Generated Node #0,1,3: 73:[96, 69] Operation: 81-12=69
Exploring Operation: 96-12=84, Resulting Numbers: [81, 84]
Generated Node #0,1,4: 73:[81, 84] Operation: 96-12=84
Moving to Node #0,4
Current State: 73:[96, 73, 4], Operations: ['85-81=4']
Exploring Operation: 73+4=77, Resulting Numbers: [96, 77]
Generated Node #0,4,0: 73:[96, 77] Operation: 73+4=77
Exploring Operation: 96+4=100, Resulting Numbers: [73, 100]
Generated Node #0,4,1: 73:[73, 100] Operation: 96+4=100
Exploring Operation: 73-4=69, Resulting Numbers: [96, 69]
Generated Node #0,4,2: 73:[96, 69] Operation: 73-4=69
Exploring Operation: 96/4=24, Resulting Numbers: [73, 24]
Generated Node #0,4,3: 73:[73, 24] Operation: 96/4=24
Exploring Operation: 96-4=92, Resulting Numbers: [73, 92]
Generated Node #0,4,4: 73:[73, 92] Operation: 96-4=92
Moving to Node #0,0,2
Current State: 73:[73, 70], Operations: ['96-85=11', '81-11=70']
Exploring Operation: 73+70=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 73*70=5110, Resulting Numbers: [5110]
5110,73 unequal: No Solution
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[73, 70], Operations: ['96-81=15', '85-15=70']
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 73+70=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 73*70=5110, Resulting Numbers: [5110]
5110,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[73, 92], Operations: ['96-85=11', '81+11=92']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Exploring Operation: 73*92=6716, Resulting Numbers: [6716]
6716,73 unequal: No Solution
Exploring Operation: 73+92=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[81, 62], Operations: ['96-85=11', '73-11=62']
Exploring Operation: 81+62=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 81*62=5022, Resulting Numbers: [5022]
5022,73 unequal: No Solution
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[81, 84], Operations: ['85-73=12', '96-12=84']
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[81, 84], Operations: ['96-85=11', '73+11=84']
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[73, 92], Operations: ['85-81=4', '96-4=92']
Exploring Operation: 73+92=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 73*92=6716, Resulting Numbers: [6716]
6716,73 unequal: No Solution
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[85, 88], Operations: ['96-81=15', '73+15=88']
Exploring Operation: 85*88=7480, Resulting Numbers: [7480]
7480,73 unequal: No Solution
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,73 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[96, 69], Operations: ['85-81=4', '73-4=69']
Exploring Operation: 96*69=6624, Resulting Numbers: [6624]
6624,73 unequal: No Solution
Exploring Operation: 96+69=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 96-69=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[96, 69], Operations: ['85-73=12', '81-12=69']
Exploring Operation: 96-69=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 96*69=6624, Resulting Numbers: [6624]
6624,73 unequal: No Solution
Exploring Operation: 96+69=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[73, 100], Operations: ['85-81=4', '96+4=100']
Exploring Operation: 73+100=173, Resulting Numbers: [173]
173,73 unequal: No Solution
Exploring Operation: 73*100=7300, Resulting Numbers: [7300]
7300,73 unequal: No Solution
Exploring Operation: 100-73=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[85, 58], Operations: ['96-81=15', '73-15=58']
Exploring Operation: 85+58=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 85*58=4930, Resulting Numbers: [4930]
4930,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[96, 77], Operations: ['85-81=4', '73+4=77']
Exploring Operation: 96+77=173, Resulting Numbers: [173]
173,73 unequal: No Solution
Exploring Operation: 96*77=7392, Resulting Numbers: [7392]
7392,73 unequal: No Solution
Exploring Operation: 96-77=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[73, 100], Operations: ['96-81=15', '85+15=100']
Exploring Operation: 100-73=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 73+100=173, Resulting Numbers: [173]
173,73 unequal: No Solution
Exploring Operation: 73*100=7300, Resulting Numbers: [7300]
7300,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[96, 93], Operations: ['85-73=12', '81+12=93']
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 96*93=8928, Resulting Numbers: [8928]
8928,73 unequal: No Solution
Exploring Operation: 96+93=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[81, 108], Operations: ['85-73=12', '96+12=108']
Exploring Operation: 81*108=8748, Resulting Numbers: [8748]
8748,73 unequal: No Solution
Exploring Operation: 81+108=189, Resulting Numbers: [189]
189,73 unequal: No Solution
Exploring Operation: 108-81=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[73, 24], Operations: ['85-81=4', '96/4=24']
Exploring Operation: 73*24=1752, Resulting Numbers: [1752]
1752,73 unequal: No Solution
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[81, 8], Operations: ['85-73=12', '96/12=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,73 unequal: No Solution
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,73 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[81, 85, 96, 73], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [81, 96, 12]
Generated Node #0,1: 73:[81, 96, 12] Operation: 85-73=12
Moving to Node #0,1
Current State: 73:[81, 96, 12], Operations: ['85-73=12']
Exploring Operation: 96/12=8, Resulting Numbers: [81, 8]
Generated Node #0,1,1: 73:[81, 8] Operation: 96/12=8
Moving to Node #0,1,1
Current State: 73:[81, 8], Operations: ['85-73=12', '96/12=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.91059
|
hs_5
|
sum_heuristic
|
[
58,
32,
68,
98
] | 13
|
[
"68-58=10",
"32+98=130",
"130/10=13"
] |
Current State: 13:[58, 32, 68, 98], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [32, 98, 10]
Generated Node #2: [32, 98, 10] from Operation: 68-58=10
Current State: 13:[32, 98, 10], Operations: ['68-58=10']
Exploring Operation: 32+98=130, Resulting Numbers: [10, 130]
Generated Node #3: [10, 130] from Operation: 32+98=130
Current State: 13:[10, 130], Operations: ['68-58=10', '32+98=130']
Exploring Operation: 130/10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[58, 32, 68, 98], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [58, 32, 30]
Generated Node #0,0: 13:[58, 32, 30] Operation: 98-68=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[58, 32, 30], Operations: ['98-68=30']
Exploring Operation: 58-32=26, Resulting Numbers: [30, 26]
Generated Node #0,0,0: 13:[30, 26] Operation: 58-32=26
Moving to Node #0,0,0
Current State: 13:[30, 26], Operations: ['98-68=30', '58-32=26']
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,13 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
|
[
28,
85,
83,
47
] | 73
|
[
"85-28=57",
"83+47=130",
"130-57=73"
] |
Current State: 73:[28, 85, 83, 47], Operations: []
Exploring Operation: 85-28=57, Resulting Numbers: [83, 47, 57]
Generated Node #2: [83, 47, 57] from Operation: 85-28=57
Current State: 73:[83, 47, 57], Operations: ['85-28=57']
Exploring Operation: 83+47=130, Resulting Numbers: [57, 130]
Generated Node #3: [57, 130] from Operation: 83+47=130
Current State: 73:[57, 130], Operations: ['85-28=57', '83+47=130']
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
Current State: 73:[28, 85, 83, 47], Operations: []
Exploring Operation: 28+47=75, Resulting Numbers: [85, 83, 75]
Generated Node #0,0: 73:[85, 83, 75] Operation: 28+47=75
Exploring Operation: 85-28=57, Resulting Numbers: [83, 47, 57]
Generated Node #0,1: 73:[83, 47, 57] Operation: 85-28=57
Exploring Operation: 83-28=55, Resulting Numbers: [85, 47, 55]
Generated Node #0,2: 73:[85, 47, 55] Operation: 83-28=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[85, 83, 75], Operations: ['28+47=75']
Exploring Operation: 85-75=10, Resulting Numbers: [83, 10]
Generated Node #0,0,0: 73:[83, 10] Operation: 85-75=10
Exploring Operation: 83-75=8, Resulting Numbers: [85, 8]
Generated Node #0,0,1: 73:[85, 8] Operation: 83-75=8
Exploring Operation: 85-83=2, Resulting Numbers: [75, 2]
Generated Node #0,0,2: 73:[75, 2] Operation: 85-83=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[83, 10], Operations: ['28+47=75', '85-75=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,73 unequal: No Solution
Exploring Operation: 83*10=830, Resulting Numbers: [830]
830,73 unequal: No Solution
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[28, 85, 83, 47], Operations: []
Exploring Operation: 28+47=75, Resulting Numbers: [85, 83, 75]
Generated Node #0,0: 73:[85, 83, 75] Operation: 28+47=75
Moving to Node #0,0
Current State: 73:[85, 83, 75], Operations: ['28+47=75']
Exploring Operation: 85-75=10, Resulting Numbers: [83, 10]
Generated Node #0,0,0: 73:[83, 10] Operation: 85-75=10
Moving to Node #0,0,0
Current State: 73:[83, 10], Operations: ['28+47=75', '85-75=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
48,
48,
20,
10
] | 48
|
[
"48+48=96",
"20/10=2",
"96/2=48"
] |
Current State: 48:[48, 48, 20, 10], Operations: []
Exploring Operation: 48+48=96, Resulting Numbers: [20, 10, 96]
Generated Node #2: [20, 10, 96] from Operation: 48+48=96
Current State: 48:[20, 10, 96], Operations: ['48+48=96']
Exploring Operation: 20/10=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 20/10=2
Current State: 48:[96, 2], Operations: ['48+48=96', '20/10=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[48, 48, 20, 10], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [48, 48, 2]
Generated Node #0,0: 48:[48, 48, 2] Operation: 20/10=2
Exploring Operation: 20-10=10, Resulting Numbers: [48, 48, 10]
Generated Node #0,1: 48:[48, 48, 10] Operation: 20-10=10
Moving to Node #0,0
Current State: 48:[48, 48, 2], Operations: ['20/10=2']
Exploring Operation: 48/2=24, Resulting Numbers: [48, 24]
Generated Node #0,0,0: 48:[48, 24] Operation: 48/2=24
Exploring Operation: 48/2=24, Resulting Numbers: [48, 24]
Generated Node #0,0,1: 48:[48, 24] Operation: 48/2=24
Moving to Node #0,1
Current State: 48:[48, 48, 10], Operations: ['20-10=10']
Exploring Operation: 48-48=0, Resulting Numbers: [10, 0]
Generated Node #0,1,0: 48:[10, 0] Operation: 48-48=0
Exploring Operation: 48/48=1, Resulting Numbers: [10, 1]
Generated Node #0,1,1: 48:[10, 1] Operation: 48/48=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[10, 1], Operations: ['20-10=10', '48/48=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[10, 0], Operations: ['20-10=10', '48-48=0']
Exploring Operation: 10*0=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 10+0=10, Resulting Numbers: [10]
10,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 48:[48, 24], Operations: ['20/10=2', '48/2=24']
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[48, 24], Operations: ['20/10=2', '48/2=24']
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
58,
95,
91,
41
] | 61
|
[
"58*95=5510",
"41+5510=5551",
"5551/91=61"
] |
Current State: 61:[58, 95, 91, 41], Operations: []
Exploring Operation: 58*95=5510, Resulting Numbers: [91, 41, 5510]
Generated Node #2: [91, 41, 5510] from Operation: 58*95=5510
Current State: 61:[91, 41, 5510], Operations: ['58*95=5510']
Exploring Operation: 41+5510=5551, Resulting Numbers: [91, 5551]
Generated Node #3: [91, 5551] from Operation: 41+5510=5551
Current State: 61:[91, 5551], Operations: ['58*95=5510', '41+5510=5551']
Exploring Operation: 5551/91=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[58, 95, 91, 41], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [58, 91, 54]
Generated Node #0,0: 61:[58, 91, 54] Operation: 95-41=54
Exploring Operation: 95-58=37, Resulting Numbers: [91, 41, 37]
Generated Node #0,1: 61:[91, 41, 37] Operation: 95-58=37
Exploring Operation: 91-41=50, Resulting Numbers: [58, 95, 50]
Generated Node #0,2: 61:[58, 95, 50] Operation: 91-41=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[58, 91, 54], Operations: ['95-41=54']
Exploring Operation: 91-58=33, Resulting Numbers: [54, 33]
Generated Node #0,0,0: 61:[54, 33] Operation: 91-58=33
Exploring Operation: 91-54=37, Resulting Numbers: [58, 37]
Generated Node #0,0,1: 61:[58, 37] Operation: 91-54=37
Exploring Operation: 58+54=112, Resulting Numbers: [91, 112]
Generated Node #0,0,2: 61:[91, 112] Operation: 58+54=112
Moving to Node #0,0,1
Current State: 61:[58, 37], Operations: ['95-41=54', '91-54=37']
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 58+37=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 58*37=2146, Resulting Numbers: [2146]
2146,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[54, 33], Operations: ['95-41=54', '91-58=33']
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 54*33=1782, Resulting Numbers: [1782]
1782,61 unequal: No Solution
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[91, 112], Operations: ['95-41=54', '58+54=112']
Exploring Operation: 91+112=203, Resulting Numbers: [203]
203,61 unequal: No Solution
Exploring Operation: 91*112=10192, Resulting Numbers: [10192]
10192,61 unequal: No Solution
Exploring Operation: 112-91=21, Resulting Numbers: [21]
21,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[58, 95, 50], Operations: ['91-41=50']
Exploring Operation: 95-50=45, Resulting Numbers: [58, 45]
Generated Node #0,2,0: 61:[58, 45] Operation: 95-50=45
Exploring Operation: 95-58=37, Resulting Numbers: [50, 37]
Generated Node #0,2,1: 61:[50, 37] Operation: 95-58=37
Exploring Operation: 58+50=108, Resulting Numbers: [95, 108]
Generated Node #0,2,2: 61:[95, 108] Operation: 58+50=108
Moving to Node #0,2,0
Current State: 61:[58, 45], Operations: ['91-41=50', '95-50=45']
Exploring Operation: 58+45=103, Resulting Numbers: [103]
103,61 unequal: No Solution
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 58*45=2610, Resulting Numbers: [2610]
2610,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[50, 37], Operations: ['91-41=50', '95-58=37']
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 50*37=1850, Resulting Numbers: [1850]
1850,61 unequal: No Solution
Exploring Operation: 50+37=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[95, 108], Operations: ['91-41=50', '58+50=108']
Exploring Operation: 108-95=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 95*108=10260, Resulting Numbers: [10260]
10260,61 unequal: No Solution
Exploring Operation: 95+108=203, Resulting Numbers: [203]
203,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[91, 41, 37], Operations: ['95-58=37']
Exploring Operation: 41+37=78, Resulting Numbers: [91, 78]
Generated Node #0,1,0: 61:[91, 78] Operation: 41+37=78
Exploring Operation: 91-37=54, Resulting Numbers: [41, 54]
Generated Node #0,1,1: 61:[41, 54] Operation: 91-37=54
Exploring Operation: 91-41=50, Resulting Numbers: [37, 50]
Generated Node #0,1,2: 61:[37, 50] Operation: 91-41=50
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[41, 54], Operations: ['95-58=37', '91-37=54']
Exploring Operation: 41*54=2214, Resulting Numbers: [2214]
2214,61 unequal: No Solution
Exploring Operation: 41+54=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[37, 50], Operations: ['95-58=37', '91-41=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,61 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[91, 78], Operations: ['95-58=37', '41+37=78']
Exploring Operation: 91+78=169, Resulting Numbers: [169]
169,61 unequal: No Solution
Exploring Operation: 91*78=7098, Resulting Numbers: [7098]
7098,61 unequal: No Solution
Exploring Operation: 91-78=13, Resulting Numbers: [13]
13,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
30,
66,
16,
21
] | 41
|
[
"66-30=36",
"21-16=5",
"36+5=41"
] |
Current State: 41:[30, 66, 16, 21], Operations: []
Exploring Operation: 66-30=36, Resulting Numbers: [16, 21, 36]
Generated Node #2: [16, 21, 36] from Operation: 66-30=36
Current State: 41:[16, 21, 36], Operations: ['66-30=36']
Exploring Operation: 21-16=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 21-16=5
Current State: 41:[36, 5], Operations: ['66-30=36', '21-16=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
Current State: 41:[30, 66, 16, 21], Operations: []
Exploring Operation: 66-30=36, Resulting Numbers: [16, 21, 36]
Generated Node #0,0: 41:[16, 21, 36] Operation: 66-30=36
Exploring Operation: 16+21=37, Resulting Numbers: [30, 66, 37]
Generated Node #0,1: 41:[30, 66, 37] Operation: 16+21=37
Exploring Operation: 66-16=50, Resulting Numbers: [30, 21, 50]
Generated Node #0,2: 41:[30, 21, 50] Operation: 66-16=50
Exploring Operation: 66-21=45, Resulting Numbers: [30, 16, 45]
Generated Node #0,3: 41:[30, 16, 45] Operation: 66-21=45
Moving to Node #0,1
Current State: 41:[30, 66, 37], Operations: ['16+21=37']
Exploring Operation: 66-30=36, Resulting Numbers: [37, 36]
Generated Node #0,1,0: 41:[37, 36] Operation: 66-30=36
Exploring Operation: 30+66=96, Resulting Numbers: [37, 96]
Generated Node #0,1,1: 41:[37, 96] Operation: 30+66=96
Exploring Operation: 30+37=67, Resulting Numbers: [66, 67]
Generated Node #0,1,2: 41:[66, 67] Operation: 30+37=67
Exploring Operation: 66-37=29, Resulting Numbers: [30, 29]
Generated Node #0,1,3: 41:[30, 29] Operation: 66-37=29
Moving to Node #0,3
Current State: 41:[30, 16, 45], Operations: ['66-21=45']
Exploring Operation: 30+16=46, Resulting Numbers: [45, 46]
Generated Node #0,3,0: 41:[45, 46] Operation: 30+16=46
Exploring Operation: 30-16=14, Resulting Numbers: [45, 14]
Generated Node #0,3,1: 41:[45, 14] Operation: 30-16=14
Exploring Operation: 45-16=29, Resulting Numbers: [30, 29]
Generated Node #0,3,2: 41:[30, 29] Operation: 45-16=29
Exploring Operation: 16+45=61, Resulting Numbers: [30, 61]
Generated Node #0,3,3: 41:[30, 61] Operation: 16+45=61
Moving to Node #0,2
Current State: 41:[30, 21, 50], Operations: ['66-16=50']
Exploring Operation: 30-21=9, Resulting Numbers: [50, 9]
Generated Node #0,2,0: 41:[50, 9] Operation: 30-21=9
Exploring Operation: 30+21=51, Resulting Numbers: [50, 51]
Generated Node #0,2,1: 41:[50, 51] Operation: 30+21=51
Exploring Operation: 50-30=20, Resulting Numbers: [21, 20]
Generated Node #0,2,2: 41:[21, 20] Operation: 50-30=20
Exploring Operation: 50-21=29, Resulting Numbers: [30, 29]
Generated Node #0,2,3: 41:[30, 29] Operation: 50-21=29
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[50, 51], Operations: ['66-16=50', '30+21=51']
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 50+51=101, Resulting Numbers: [101]
101,41 unequal: No Solution
Exploring Operation: 50*51=2550, Resulting Numbers: [2550]
2550,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[30, 29], Operations: ['66-16=50', '50-21=29']
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,41 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[50, 9], Operations: ['66-16=50', '30-21=9']
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,41 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[30, 66, 16, 21], Operations: []
Exploring Operation: 66-16=50, Resulting Numbers: [30, 21, 50]
Generated Node #0,2: 41:[30, 21, 50] Operation: 66-16=50
Moving to Node #0,2
Current State: 41:[30, 21, 50], Operations: ['66-16=50']
Exploring Operation: 30-21=9, Resulting Numbers: [50, 9]
Generated Node #0,2,0: 41:[50, 9] Operation: 30-21=9
Moving to Node #0,2,0
Current State: 41:[50, 9], Operations: ['66-16=50', '30-21=9']
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694
|
hs_4
|
sum_heuristic
|
[
96,
98,
78,
94
] | 40
|
[
"96-94=2",
"98-78=20",
"2*20=40"
] |
Current State: 40:[96, 98, 78, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [98, 78, 2]
Generated Node #2: [98, 78, 2] from Operation: 96-94=2
Current State: 40:[98, 78, 2], Operations: ['96-94=2']
Exploring Operation: 98-78=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 98-78=20
Current State: 40:[2, 20], Operations: ['96-94=2', '98-78=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
Current State: 40:[96, 98, 78, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [98, 78, 2]
Generated Node #0,0: 40:[98, 78, 2] Operation: 96-94=2
Exploring Operation: 98-78=20, Resulting Numbers: [96, 94, 20]
Generated Node #0,1: 40:[96, 94, 20] Operation: 98-78=20
Exploring Operation: 98-96=2, Resulting Numbers: [78, 94, 2]
Generated Node #0,2: 40:[78, 94, 2] Operation: 98-96=2
Exploring Operation: 98-94=4, Resulting Numbers: [96, 78, 4]
Generated Node #0,3: 40:[96, 78, 4] Operation: 98-94=4
Exploring Operation: 96-78=18, Resulting Numbers: [98, 94, 18]
Generated Node #0,4: 40:[98, 94, 18] Operation: 96-78=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[78, 94, 2], Operations: ['98-96=2']
Exploring Operation: 78/2=39, Resulting Numbers: [94, 39]
Generated Node #0,2,0: 40:[94, 39] Operation: 78/2=39
Exploring Operation: 78-2=76, Resulting Numbers: [94, 76]
Generated Node #0,2,1: 40:[94, 76] Operation: 78-2=76
Exploring Operation: 94-78=16, Resulting Numbers: [2, 16]
Generated Node #0,2,2: 40:[2, 16] Operation: 94-78=16
Exploring Operation: 94/2=47, Resulting Numbers: [78, 47]
Generated Node #0,2,3: 40:[78, 47] Operation: 94/2=47
Exploring Operation: 94-2=92, Resulting Numbers: [78, 92]
Generated Node #0,2,4: 40:[78, 92] Operation: 94-2=92
Moving to Node #0,2,2
Current State: 40:[2, 16], Operations: ['98-96=2', '94-78=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,40 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[78, 47], Operations: ['98-96=2', '94/2=47']
Exploring Operation: 78-47=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 78*47=3666, Resulting Numbers: [3666]
3666,40 unequal: No Solution
Exploring Operation: 78+47=125, Resulting Numbers: [125]
125,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[94, 39], Operations: ['98-96=2', '78/2=39']
Exploring Operation: 94+39=133, Resulting Numbers: [133]
133,40 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Exploring Operation: 94*39=3666, Resulting Numbers: [3666]
3666,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[94, 76], Operations: ['98-96=2', '78-2=76']
Exploring Operation: 94*76=7144, Resulting Numbers: [7144]
7144,40 unequal: No Solution
Exploring Operation: 94+76=170, Resulting Numbers: [170]
170,40 unequal: No Solution
Exploring Operation: 94-76=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Moving to Node #0,2,4
Current State: 40:[78, 92], Operations: ['98-96=2', '94-2=92']
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 78*92=7176, Resulting Numbers: [7176]
7176,40 unequal: No Solution
Exploring Operation: 78+92=170, Resulting Numbers: [170]
170,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[96, 78, 4], Operations: ['98-94=4']
Exploring Operation: 78-4=74, Resulting Numbers: [96, 74]
Generated Node #0,3,0: 40:[96, 74] Operation: 78-4=74
Exploring Operation: 96-4=92, Resulting Numbers: [78, 92]
Generated Node #0,3,1: 40:[78, 92] Operation: 96-4=92
Exploring Operation: 96-78=18, Resulting Numbers: [4, 18]
Generated Node #0,3,2: 40:[4, 18] Operation: 96-78=18
Exploring Operation: 96/4=24, Resulting Numbers: [78, 24]
Generated Node #0,3,3: 40:[78, 24] Operation: 96/4=24
Exploring Operation: 96+4=100, Resulting Numbers: [78, 100]
Generated Node #0,3,4: 40:[78, 100] Operation: 96+4=100
Moving to Node #0,3,2
Current State: 40:[4, 18], Operations: ['98-94=4', '96-78=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,40 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[78, 24], Operations: ['98-94=4', '96/4=24']
Exploring Operation: 78-24=54, Resulting Numbers: [54]
54,40 unequal: No Solution
Exploring Operation: 78*24=1872, Resulting Numbers: [1872]
1872,40 unequal: No Solution
Exploring Operation: 78+24=102, Resulting Numbers: [102]
102,40 unequal: No Solution
Moving to Node #0,3,0
Current State: 40:[96, 74], Operations: ['98-94=4', '78-4=74']
Exploring Operation: 96+74=170, Resulting Numbers: [170]
170,40 unequal: No Solution
Exploring Operation: 96*74=7104, Resulting Numbers: [7104]
7104,40 unequal: No Solution
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[78, 92], Operations: ['98-94=4', '96-4=92']
Exploring Operation: 92-78=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 78+92=170, Resulting Numbers: [170]
170,40 unequal: No Solution
Exploring Operation: 78*92=7176, Resulting Numbers: [7176]
7176,40 unequal: No Solution
Moving to Node #0,3,4
Current State: 40:[78, 100], Operations: ['98-94=4', '96+4=100']
Exploring Operation: 78+100=178, Resulting Numbers: [178]
178,40 unequal: No Solution
Exploring Operation: 100-78=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 78*100=7800, Resulting Numbers: [7800]
7800,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[98, 78, 2], Operations: ['96-94=2']
Exploring Operation: 98-2=96, Resulting Numbers: [78, 96]
Generated Node #0,0,0: 40:[78, 96] Operation: 98-2=96
Exploring Operation: 78-2=76, Resulting Numbers: [98, 76]
Generated Node #0,0,1: 40:[98, 76] Operation: 78-2=76
Exploring Operation: 98-78=20, Resulting Numbers: [2, 20]
Generated Node #0,0,2: 40:[2, 20] Operation: 98-78=20
Exploring Operation: 78/2=39, Resulting Numbers: [98, 39]
Generated Node #0,0,3: 40:[98, 39] Operation: 78/2=39
Exploring Operation: 98/2=49, Resulting Numbers: [78, 49]
Generated Node #0,0,4: 40:[78, 49] Operation: 98/2=49
Moving to Node #0,0,2
Current State: 40:[2, 20], Operations: ['96-94=2', '98-78=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[96, 98, 78, 94], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [98, 78, 2]
Generated Node #0,0: 40:[98, 78, 2] Operation: 96-94=2
Moving to Node #0,0
Current State: 40:[98, 78, 2], Operations: ['96-94=2']
Exploring Operation: 98-78=20, Resulting Numbers: [2, 20]
Generated Node #0,0,2: 40:[2, 20] Operation: 98-78=20
Moving to Node #0,0,2
Current State: 40:[2, 20], Operations: ['96-94=2', '98-78=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521
|
hs_5
|
sum_heuristic
|
[
85,
52,
58,
30
] | 80
|
[
"58-52=6",
"30/6=5",
"85-5=80"
] |
Current State: 80:[85, 52, 58, 30], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [85, 30, 6]
Generated Node #2: [85, 30, 6] from Operation: 58-52=6
Current State: 80:[85, 30, 6], Operations: ['58-52=6']
Exploring Operation: 30/6=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 30/6=5
Current State: 80:[85, 5], Operations: ['58-52=6', '30/6=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[85, 52, 58, 30], Operations: []
Exploring Operation: 58+30=88, Resulting Numbers: [85, 52, 88]
Generated Node #0,0: 80:[85, 52, 88] Operation: 58+30=88
Exploring Operation: 52-30=22, Resulting Numbers: [85, 58, 22]
Generated Node #0,1: 80:[85, 58, 22] Operation: 52-30=22
Exploring Operation: 58-52=6, Resulting Numbers: [85, 30, 6]
Generated Node #0,2: 80:[85, 30, 6] Operation: 58-52=6
Exploring Operation: 52+30=82, Resulting Numbers: [85, 58, 82]
Generated Node #0,3: 80:[85, 58, 82] Operation: 52+30=82
Moving to Node #0,2
Current State: 80:[85, 30, 6], Operations: ['58-52=6']
Exploring Operation: 30+6=36, Resulting Numbers: [85, 36]
Generated Node #0,2,0: 80:[85, 36] Operation: 30+6=36
Exploring Operation: 30-6=24, Resulting Numbers: [85, 24]
Generated Node #0,2,1: 80:[85, 24] Operation: 30-6=24
Exploring Operation: 85-6=79, Resulting Numbers: [30, 79]
Generated Node #0,2,2: 80:[30, 79] Operation: 85-6=79
Exploring Operation: 30/6=5, Resulting Numbers: [85, 5]
Generated Node #0,2,3: 80:[85, 5] Operation: 30/6=5
Moving to Node #0,1
Current State: 80:[85, 58, 22], Operations: ['52-30=22']
Exploring Operation: 58-22=36, Resulting Numbers: [85, 36]
Generated Node #0,1,0: 80:[85, 36] Operation: 58-22=36
Exploring Operation: 85-22=63, Resulting Numbers: [58, 63]
Generated Node #0,1,1: 80:[58, 63] Operation: 85-22=63
Exploring Operation: 58+22=80, Resulting Numbers: [85, 80]
Generated Node #0,1,2: 80:[85, 80] Operation: 58+22=80
Exploring Operation: 85-58=27, Resulting Numbers: [22, 27]
Generated Node #0,1,3: 80:[22, 27] Operation: 85-58=27
Moving to Node #0,0
Current State: 80:[85, 52, 88], Operations: ['58+30=88']
Exploring Operation: 88-85=3, Resulting Numbers: [52, 3]
Generated Node #0,0,0: 80:[52, 3] Operation: 88-85=3
Exploring Operation: 85+52=137, Resulting Numbers: [88, 137]
Generated Node #0,0,1: 80:[88, 137] Operation: 85+52=137
Exploring Operation: 88-52=36, Resulting Numbers: [85, 36]
Generated Node #0,0,2: 80:[85, 36] Operation: 88-52=36
Exploring Operation: 85-52=33, Resulting Numbers: [88, 33]
Generated Node #0,0,3: 80:[88, 33] Operation: 85-52=33
Moving to Node #0,3
Current State: 80:[85, 58, 82], Operations: ['52+30=82']
Exploring Operation: 85+58=143, Resulting Numbers: [82, 143]
Generated Node #0,3,0: 80:[82, 143] Operation: 85+58=143
Exploring Operation: 85-82=3, Resulting Numbers: [58, 3]
Generated Node #0,3,1: 80:[58, 3] Operation: 85-82=3
Exploring Operation: 82-58=24, Resulting Numbers: [85, 24]
Generated Node #0,3,2: 80:[85, 24] Operation: 82-58=24
Exploring Operation: 85-58=27, Resulting Numbers: [82, 27]
Generated Node #0,3,3: 80:[82, 27] Operation: 85-58=27
Moving to Node #0,2,3
Current State: 80:[85, 5], Operations: ['58-52=6', '30/6=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 85*5=425, Resulting Numbers: [425]
425,80 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[85, 52, 58, 30], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [85, 30, 6]
Generated Node #0,2: 80:[85, 30, 6] Operation: 58-52=6
Moving to Node #0,2
Current State: 80:[85, 30, 6], Operations: ['58-52=6']
Exploring Operation: 30/6=5, Resulting Numbers: [85, 5]
Generated Node #0,2,3: 80:[85, 5] Operation: 30/6=5
Moving to Node #0,2,3
Current State: 80:[85, 5], Operations: ['58-52=6', '30/6=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.976563
|
hs_4
|
sum_heuristic
|
[
51,
11,
36,
12
] | 37
|
[
"51-11=40",
"36/12=3",
"40-3=37"
] |
Current State: 37:[51, 11, 36, 12], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [36, 12, 40]
Generated Node #2: [36, 12, 40] from Operation: 51-11=40
Current State: 37:[36, 12, 40], Operations: ['51-11=40']
Exploring Operation: 36/12=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 36/12=3
Current State: 37:[40, 3], Operations: ['51-11=40', '36/12=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[51, 11, 36, 12], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [36, 12, 40]
Generated Node #0,0: 37:[36, 12, 40] Operation: 51-11=40
Moving to Node #0,0
Current State: 37:[36, 12, 40], Operations: ['51-11=40']
Exploring Operation: 40-12=28, Resulting Numbers: [36, 28]
Generated Node #0,0,0: 37:[36, 28] Operation: 40-12=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[36, 28], Operations: ['51-11=40', '40-12=28']
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,37 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
|
[
96,
48,
78,
9
] | 75
|
[
"96+48=144",
"78-9=69",
"144-69=75"
] |
Current State: 75:[96, 48, 78, 9], Operations: []
Exploring Operation: 96+48=144, Resulting Numbers: [78, 9, 144]
Generated Node #2: [78, 9, 144] from Operation: 96+48=144
Current State: 75:[78, 9, 144], Operations: ['96+48=144']
Exploring Operation: 78-9=69, Resulting Numbers: [144, 69]
Generated Node #3: [144, 69] from Operation: 78-9=69
Current State: 75:[144, 69], Operations: ['96+48=144', '78-9=69']
Exploring Operation: 144-69=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[96, 48, 78, 9], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [78, 9, 48]
Generated Node #0,0: 75:[78, 9, 48] Operation: 96-48=48
Exploring Operation: 78-48=30, Resulting Numbers: [96, 9, 30]
Generated Node #0,1: 75:[96, 9, 30] Operation: 78-48=30
Exploring Operation: 96/48=2, Resulting Numbers: [78, 9, 2]
Generated Node #0,2: 75:[78, 9, 2] Operation: 96/48=2
Exploring Operation: 96-78=18, Resulting Numbers: [48, 9, 18]
Generated Node #0,3: 75:[48, 9, 18] Operation: 96-78=18
Exploring Operation: 96-9=87, Resulting Numbers: [48, 78, 87]
Generated Node #0,4: 75:[48, 78, 87] Operation: 96-9=87
Moving to Node #0,2
Current State: 75:[78, 9, 2], Operations: ['96/48=2']
Exploring Operation: 78-2=76, Resulting Numbers: [9, 76]
Generated Node #0,2,0: 75:[9, 76] Operation: 78-2=76
Exploring Operation: 9-2=7, Resulting Numbers: [78, 7]
Generated Node #0,2,1: 75:[78, 7] Operation: 9-2=7
Exploring Operation: 78-9=69, Resulting Numbers: [2, 69]
Generated Node #0,2,2: 75:[2, 69] Operation: 78-9=69
Exploring Operation: 9*2=18, Resulting Numbers: [78, 18]
Generated Node #0,2,3: 75:[78, 18] Operation: 9*2=18
Exploring Operation: 9+2=11, Resulting Numbers: [78, 11]
Generated Node #0,2,4: 75:[78, 11] Operation: 9+2=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[9, 76], Operations: ['96/48=2', '78-2=76']
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 9*76=684, Resulting Numbers: [684]
684,75 unequal: No Solution
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,75 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:[78, 7], Operations: ['96/48=2', '9-2=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Exploring Operation: 78*7=546, Resulting Numbers: [546]
546,75 unequal: No Solution
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,75 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 #0,2,3
Current State: 75:[78, 18], Operations: ['96/48=2', '9*2=18']
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,75 unequal: No Solution
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,75 unequal: No Solution
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,75 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:[2, 69], Operations: ['96/48=2', '78-9=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,75 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 #0,2,4
Current State: 75:[78, 11], Operations: ['96/48=2', '9+2=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,75 unequal: No Solution
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,75 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:[96, 9, 30], Operations: ['78-48=30']
Exploring Operation: 96-9=87, Resulting Numbers: [30, 87]
Generated Node #0,1,0: 75:[30, 87] Operation: 96-9=87
Exploring Operation: 96-30=66, Resulting Numbers: [9, 66]
Generated Node #0,1,1: 75:[9, 66] Operation: 96-30=66
Exploring Operation: 30-9=21, Resulting Numbers: [96, 21]
Generated Node #0,1,2: 75:[96, 21] Operation: 30-9=21
Exploring Operation: 9+30=39, Resulting Numbers: [96, 39]
Generated Node #0,1,3: 75:[96, 39] Operation: 9+30=39
Exploring Operation: 96+9=105, Resulting Numbers: [30, 105]
Generated Node #0,1,4: 75:[30, 105] Operation: 96+9=105
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[9, 66], Operations: ['78-48=30', '96-30=66']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,75 unequal: No Solution
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[96, 48, 78, 9], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [96, 9, 30]
Generated Node #0,1: 75:[96, 9, 30] Operation: 78-48=30
Moving to Node #0,1
Current State: 75:[96, 9, 30], Operations: ['78-48=30']
Exploring Operation: 96-30=66, Resulting Numbers: [9, 66]
Generated Node #0,1,1: 75:[9, 66] Operation: 96-30=66
Moving to Node #0,1,1
Current State: 75:[9, 66], Operations: ['78-48=30', '96-30=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882
|
hs_5
|
sum_heuristic
|
[
60,
6,
35,
53
] | 36
|
[
"60-6=54",
"53-35=18",
"54-18=36"
] |
Current State: 36:[60, 6, 35, 53], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [35, 53, 54]
Generated Node #2: [35, 53, 54] from Operation: 60-6=54
Current State: 36:[35, 53, 54], Operations: ['60-6=54']
Exploring Operation: 53-35=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 53-35=18
Current State: 36:[54, 18], Operations: ['60-6=54', '53-35=18']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[60, 6, 35, 53], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [35, 53, 10]
Generated Node #0,0: 36:[35, 53, 10] Operation: 60/6=10
Exploring Operation: 60-53=7, Resulting Numbers: [6, 35, 7]
Generated Node #0,1: 36:[6, 35, 7] Operation: 60-53=7
Exploring Operation: 53-35=18, Resulting Numbers: [60, 6, 18]
Generated Node #0,2: 36:[60, 6, 18] Operation: 53-35=18
Exploring Operation: 60-6=54, Resulting Numbers: [35, 53, 54]
Generated Node #0,3: 36:[35, 53, 54] Operation: 60-6=54
Exploring Operation: 60-35=25, Resulting Numbers: [6, 53, 25]
Generated Node #0,4: 36:[6, 53, 25] Operation: 60-35=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[6, 35, 7], Operations: ['60-53=7']
Exploring Operation: 6+35=41, Resulting Numbers: [7, 41]
Generated Node #0,1,0: 36:[7, 41] Operation: 6+35=41
Exploring Operation: 7-6=1, Resulting Numbers: [35, 1]
Generated Node #0,1,1: 36:[35, 1] Operation: 7-6=1
Exploring Operation: 6+7=13, Resulting Numbers: [35, 13]
Generated Node #0,1,2: 36:[35, 13] Operation: 6+7=13
Exploring Operation: 35/7=5, Resulting Numbers: [6, 5]
Generated Node #0,1,3: 36:[6, 5] Operation: 35/7=5
Exploring Operation: 35+7=42, Resulting Numbers: [6, 42]
Generated Node #0,1,4: 36:[6, 42] Operation: 35+7=42
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 36:[6, 5], Operations: ['60-53=7', '35/7=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,36 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 #0,1,1
Current State: 36:[35, 1], Operations: ['60-53=7', '7-6=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[60, 6, 35, 53], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [6, 35, 7]
Generated Node #0,1: 36:[6, 35, 7] Operation: 60-53=7
Moving to Node #0,1
Current State: 36:[6, 35, 7], Operations: ['60-53=7']
Exploring Operation: 7-6=1, Resulting Numbers: [35, 1]
Generated Node #0,1,1: 36:[35, 1] Operation: 7-6=1
Moving to Node #0,1,1
Current State: 36:[35, 1], Operations: ['60-53=7', '7-6=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771
|
hs_5
|
mult_heuristic
|
[
87,
14,
2,
70
] | 33
|
[
"87+14=101",
"70-2=68",
"101-68=33"
] |
Current State: 33:[87, 14, 2, 70], Operations: []
Exploring Operation: 87+14=101, Resulting Numbers: [2, 70, 101]
Generated Node #2: [2, 70, 101] from Operation: 87+14=101
Current State: 33:[2, 70, 101], Operations: ['87+14=101']
Exploring Operation: 70-2=68, Resulting Numbers: [101, 68]
Generated Node #3: [101, 68] from Operation: 70-2=68
Current State: 33:[101, 68], Operations: ['87+14=101', '70-2=68']
Exploring Operation: 101-68=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[87, 14, 2, 70], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [14, 2, 17]
Generated Node #0,0: 33:[14, 2, 17] Operation: 87-70=17
Moving to Node #0,0
Current State: 33:[14, 2, 17], Operations: ['87-70=17']
Exploring Operation: 17-14=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 33:[2, 3] Operation: 17-14=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[2, 3], Operations: ['87-70=17', '17-14=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,33 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
|
[
29,
46,
78,
48
] | 47
|
[
"46-29=17",
"78-48=30",
"17+30=47"
] |
Current State: 47:[29, 46, 78, 48], Operations: []
Exploring Operation: 46-29=17, Resulting Numbers: [78, 48, 17]
Generated Node #2: [78, 48, 17] from Operation: 46-29=17
Current State: 47:[78, 48, 17], Operations: ['46-29=17']
Exploring Operation: 78-48=30, Resulting Numbers: [17, 30]
Generated Node #3: [17, 30] from Operation: 78-48=30
Current State: 47:[17, 30], Operations: ['46-29=17', '78-48=30']
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[29, 46, 78, 48], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [46, 48, 49]
Generated Node #0,0: 47:[46, 48, 49] Operation: 78-29=49
Exploring Operation: 78-46=32, Resulting Numbers: [29, 48, 32]
Generated Node #0,1: 47:[29, 48, 32] Operation: 78-46=32
Exploring Operation: 78-48=30, Resulting Numbers: [29, 46, 30]
Generated Node #0,2: 47:[29, 46, 30] Operation: 78-48=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[46, 48, 49], Operations: ['78-29=49']
Exploring Operation: 49-46=3, Resulting Numbers: [48, 3]
Generated Node #0,0,0: 47:[48, 3] Operation: 49-46=3
Exploring Operation: 48-46=2, Resulting Numbers: [49, 2]
Generated Node #0,0,1: 47:[49, 2] Operation: 48-46=2
Exploring Operation: 49-48=1, Resulting Numbers: [46, 1]
Generated Node #0,0,2: 47:[46, 1] Operation: 49-48=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[48, 3], Operations: ['78-29=49', '49-46=3']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,47 unequal: No Solution
No 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: 47:[49, 2], Operations: ['78-29=49', '48-46=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[29, 46, 78, 48], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [46, 48, 49]
Generated Node #0,0: 47:[46, 48, 49] Operation: 78-29=49
Moving to Node #0,0
Current State: 47:[46, 48, 49], Operations: ['78-29=49']
Exploring Operation: 48-46=2, Resulting Numbers: [49, 2]
Generated Node #0,0,1: 47:[49, 2] Operation: 48-46=2
Moving to Node #0,0,1
Current State: 47:[49, 2], Operations: ['78-29=49', '48-46=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111
|
hs_3
|
sum_heuristic
|
[
11,
36,
66,
13
] | 48
|
[
"13-11=2",
"36/2=18",
"66-18=48"
] |
Current State: 48:[11, 36, 66, 13], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [36, 66, 2]
Generated Node #2: [36, 66, 2] from Operation: 13-11=2
Current State: 48:[36, 66, 2], Operations: ['13-11=2']
Exploring Operation: 36/2=18, Resulting Numbers: [66, 18]
Generated Node #3: [66, 18] from Operation: 36/2=18
Current State: 48:[66, 18], Operations: ['13-11=2', '36/2=18']
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[11, 36, 66, 13], Operations: []
Exploring Operation: 66/11=6, Resulting Numbers: [36, 13, 6]
Generated Node #0,0: 48:[36, 13, 6] Operation: 66/11=6
Exploring Operation: 66-36=30, Resulting Numbers: [11, 13, 30]
Generated Node #0,1: 48:[11, 13, 30] Operation: 66-36=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[11, 13, 30], Operations: ['66-36=30']
Exploring Operation: 30-13=17, Resulting Numbers: [11, 17]
Generated Node #0,1,0: 48:[11, 17] Operation: 30-13=17
Exploring Operation: 30-11=19, Resulting Numbers: [13, 19]
Generated Node #0,1,1: 48:[13, 19] Operation: 30-11=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[11, 17], Operations: ['66-36=30', '30-13=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,48 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:[13, 19], Operations: ['66-36=30', '30-11=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,48 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 #0,0
Current State: 48:[36, 13, 6], Operations: ['66/11=6']
Exploring Operation: 36+13=49, Resulting Numbers: [6, 49]
Generated Node #0,0,0: 48:[6, 49] Operation: 36+13=49
Exploring Operation: 36-13=23, Resulting Numbers: [6, 23]
Generated Node #0,0,1: 48:[6, 23] Operation: 36-13=23
Moving to Node #0,0,0
Current State: 48:[6, 49], Operations: ['66/11=6', '36+13=49']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[6, 23], Operations: ['66/11=6', '36-13=23']
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,48 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
|
[
39,
10,
72,
4
] | 67
|
[
"39+10=49",
"72/4=18",
"49+18=67"
] |
Current State: 67:[39, 10, 72, 4], Operations: []
Exploring Operation: 39+10=49, Resulting Numbers: [72, 4, 49]
Generated Node #2: [72, 4, 49] from Operation: 39+10=49
Current State: 67:[72, 4, 49], Operations: ['39+10=49']
Exploring Operation: 72/4=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 72/4=18
Current State: 67:[49, 18], Operations: ['39+10=49', '72/4=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[39, 10, 72, 4], Operations: []
Exploring Operation: 39+4=43, Resulting Numbers: [10, 72, 43]
Generated Node #0,0: 67:[10, 72, 43] Operation: 39+4=43
Exploring Operation: 10*4=40, Resulting Numbers: [39, 72, 40]
Generated Node #0,1: 67:[39, 72, 40] Operation: 10*4=40
Exploring Operation: 39+10=49, Resulting Numbers: [72, 4, 49]
Generated Node #0,2: 67:[72, 4, 49] Operation: 39+10=49
Moving to Node #0,1
Current State: 67:[39, 72, 40], Operations: ['10*4=40']
Exploring Operation: 72-40=32, Resulting Numbers: [39, 32]
Generated Node #0,1,0: 67:[39, 32] Operation: 72-40=32
Exploring Operation: 39+40=79, Resulting Numbers: [72, 79]
Generated Node #0,1,1: 67:[72, 79] Operation: 39+40=79
Exploring Operation: 72-39=33, Resulting Numbers: [40, 33]
Generated Node #0,1,2: 67:[40, 33] Operation: 72-39=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[72, 79], Operations: ['10*4=40', '39+40=79']
Exploring Operation: 72*79=5688, Resulting Numbers: [5688]
5688,67 unequal: No Solution
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,67 unequal: No Solution
Exploring Operation: 72+79=151, Resulting Numbers: [151]
151,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 67:[40, 33], Operations: ['10*4=40', '72-39=33']
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,67 unequal: No Solution
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,67 unequal: No Solution
Exploring Operation: 40*33=1320, Resulting Numbers: [1320]
1320,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[39, 32], Operations: ['10*4=40', '72-40=32']
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,67 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,67 unequal: No Solution
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,67 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: 67:[10, 72, 43], Operations: ['39+4=43']
Exploring Operation: 10+72=82, Resulting Numbers: [43, 82]
Generated Node #0,0,0: 67:[43, 82] Operation: 10+72=82
Exploring Operation: 10+43=53, Resulting Numbers: [72, 53]
Generated Node #0,0,1: 67:[72, 53] Operation: 10+43=53
Exploring Operation: 72-10=62, Resulting Numbers: [43, 62]
Generated Node #0,0,2: 67:[43, 62] Operation: 72-10=62
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[72, 53], Operations: ['39+4=43', '10+43=53']
Exploring Operation: 72+53=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 72*53=3816, Resulting Numbers: [3816]
3816,67 unequal: No Solution
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,67 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:[43, 62], Operations: ['39+4=43', '72-10=62']
Exploring Operation: 43+62=105, Resulting Numbers: [105]
105,67 unequal: No Solution
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Exploring Operation: 43*62=2666, Resulting Numbers: [2666]
2666,67 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 #0,0,0
Current State: 67:[43, 82], Operations: ['39+4=43', '10+72=82']
Exploring Operation: 43+82=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 43*82=3526, Resulting Numbers: [3526]
3526,67 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: 67:[72, 4, 49], Operations: ['39+10=49']
Exploring Operation: 72-4=68, Resulting Numbers: [49, 68]
Generated Node #0,2,0: 67:[49, 68] Operation: 72-4=68
Exploring Operation: 4+49=53, Resulting Numbers: [72, 53]
Generated Node #0,2,1: 67:[72, 53] Operation: 4+49=53
Exploring Operation: 72+4=76, Resulting Numbers: [49, 76]
Generated Node #0,2,2: 67:[49, 76] Operation: 72+4=76
Moving to Node #0,2,0
Current State: 67:[49, 68], Operations: ['39+10=49', '72-4=68']
Exploring Operation: 49*68=3332, Resulting Numbers: [3332]
3332,67 unequal: No Solution
Exploring Operation: 49+68=117, Resulting Numbers: [117]
117,67 unequal: No Solution
Exploring Operation: 68-49=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[72, 53], Operations: ['39+10=49', '4+49=53']
Exploring Operation: 72*53=3816, Resulting Numbers: [3816]
3816,67 unequal: No Solution
Exploring Operation: 72+53=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[49, 76], Operations: ['39+10=49', '72+4=76']
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 49*76=3724, Resulting Numbers: [3724]
3724,67 unequal: No Solution
Exploring Operation: 49+76=125, Resulting Numbers: [125]
125,67 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
76,
33,
65,
58
] | 36
|
[
"76-33=43",
"65-58=7",
"43-7=36"
] |
Current State: 36:[76, 33, 65, 58], Operations: []
Exploring Operation: 76-33=43, Resulting Numbers: [65, 58, 43]
Generated Node #2: [65, 58, 43] from Operation: 76-33=43
Current State: 36:[65, 58, 43], Operations: ['76-33=43']
Exploring Operation: 65-58=7, Resulting Numbers: [43, 7]
Generated Node #3: [43, 7] from Operation: 65-58=7
Current State: 36:[43, 7], Operations: ['76-33=43', '65-58=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[76, 33, 65, 58], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [33, 58, 11]
Generated Node #0,0: 36:[33, 58, 11] Operation: 76-65=11
Exploring Operation: 76-58=18, Resulting Numbers: [33, 65, 18]
Generated Node #0,1: 36:[33, 65, 18] Operation: 76-58=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[33, 58, 11], Operations: ['76-65=11']
Exploring Operation: 58-33=25, Resulting Numbers: [11, 25]
Generated Node #0,0,0: 36:[11, 25] Operation: 58-33=25
Exploring Operation: 58-11=47, Resulting Numbers: [33, 47]
Generated Node #0,0,1: 36:[33, 47] Operation: 58-11=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[11, 25], Operations: ['76-65=11', '58-33=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[76, 33, 65, 58], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [33, 58, 11]
Generated Node #0,0: 36:[33, 58, 11] Operation: 76-65=11
Moving to Node #0,0
Current State: 36:[33, 58, 11], Operations: ['76-65=11']
Exploring Operation: 58-33=25, Resulting Numbers: [11, 25]
Generated Node #0,0,0: 36:[11, 25] Operation: 58-33=25
Moving to Node #0,0,0
Current State: 36:[11, 25], Operations: ['76-65=11', '58-33=25']
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
sum_heuristic
|
[
75,
12,
21,
41
] | 78
|
[
"21*41=861",
"75+861=936",
"936/12=78"
] |
Current State: 78:[75, 12, 21, 41], Operations: []
Exploring Operation: 21*41=861, Resulting Numbers: [75, 12, 861]
Generated Node #2: [75, 12, 861] from Operation: 21*41=861
Current State: 78:[75, 12, 861], Operations: ['21*41=861']
Exploring Operation: 75+861=936, Resulting Numbers: [12, 936]
Generated Node #3: [12, 936] from Operation: 75+861=936
Current State: 78:[12, 936], Operations: ['21*41=861', '75+861=936']
Exploring Operation: 936/12=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[75, 12, 21, 41], Operations: []
Exploring Operation: 41-21=20, Resulting Numbers: [75, 12, 20]
Generated Node #0,0: 78:[75, 12, 20] Operation: 41-21=20
Exploring Operation: 21-12=9, Resulting Numbers: [75, 41, 9]
Generated Node #0,1: 78:[75, 41, 9] Operation: 21-12=9
Moving to Node #0,1
Current State: 78:[75, 41, 9], Operations: ['21-12=9']
Exploring Operation: 75-41=34, Resulting Numbers: [9, 34]
Generated Node #0,1,0: 78:[9, 34] Operation: 75-41=34
Exploring Operation: 75+9=84, Resulting Numbers: [41, 84]
Generated Node #0,1,1: 78:[41, 84] Operation: 75+9=84
Moving to Node #0,0
Current State: 78:[75, 12, 20], Operations: ['41-21=20']
Exploring Operation: 20-12=8, Resulting Numbers: [75, 8]
Generated Node #0,0,0: 78:[75, 8] Operation: 20-12=8
Exploring Operation: 12+20=32, Resulting Numbers: [75, 32]
Generated Node #0,0,1: 78:[75, 32] Operation: 12+20=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[75, 8], Operations: ['41-21=20', '20-12=8']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,78 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 #0,0,1
Current State: 78:[75, 32], Operations: ['41-21=20', '12+20=32']
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 78:[9, 34], Operations: ['21-12=9', '75-41=34']
Exploring Operation: 9+34=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[41, 84], Operations: ['21-12=9', '75+9=84']
Exploring Operation: 41+84=125, Resulting Numbers: [125]
125,78 unequal: No Solution
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,78 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
90,
7,
11,
12
] | 87
|
[
"11-7=4",
"12/4=3",
"90-3=87"
] |
Current State: 87:[90, 7, 11, 12], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [90, 12, 4]
Generated Node #2: [90, 12, 4] from Operation: 11-7=4
Current State: 87:[90, 12, 4], Operations: ['11-7=4']
Exploring Operation: 12/4=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 12/4=3
Current State: 87:[90, 3], Operations: ['11-7=4', '12/4=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
Current State: 87:[90, 7, 11, 12], Operations: []
Exploring Operation: 11+12=23, Resulting Numbers: [90, 7, 23]
Generated Node #0,0: 87:[90, 7, 23] Operation: 11+12=23
Exploring Operation: 12-7=5, Resulting Numbers: [90, 11, 5]
Generated Node #0,1: 87:[90, 11, 5] Operation: 12-7=5
Exploring Operation: 11-7=4, Resulting Numbers: [90, 12, 4]
Generated Node #0,2: 87:[90, 12, 4] Operation: 11-7=4
Exploring Operation: 12-11=1, Resulting Numbers: [90, 7, 1]
Generated Node #0,3: 87:[90, 7, 1] Operation: 12-11=1
Moving to Node #0,3
Current State: 87:[90, 7, 1], Operations: ['12-11=1']
Exploring Operation: 90*1=90, Resulting Numbers: [7, 90]
Generated Node #0,3,0: 87:[7, 90] Operation: 90*1=90
Exploring Operation: 90-1=89, Resulting Numbers: [7, 89]
Generated Node #0,3,1: 87:[7, 89] Operation: 90-1=89
Exploring Operation: 90-7=83, Resulting Numbers: [1, 83]
Generated Node #0,3,2: 87:[1, 83] Operation: 90-7=83
Exploring Operation: 7-1=6, Resulting Numbers: [90, 6]
Generated Node #0,3,3: 87:[90, 6] Operation: 7-1=6
Moving to Node #0,1
Current State: 87:[90, 11, 5], Operations: ['12-7=5']
Exploring Operation: 90+11=101, Resulting Numbers: [5, 101]
Generated Node #0,1,0: 87:[5, 101] Operation: 90+11=101
Exploring Operation: 90-11=79, Resulting Numbers: [5, 79]
Generated Node #0,1,1: 87:[5, 79] Operation: 90-11=79
Exploring Operation: 11-5=6, Resulting Numbers: [90, 6]
Generated Node #0,1,2: 87:[90, 6] Operation: 11-5=6
Exploring Operation: 90-5=85, Resulting Numbers: [11, 85]
Generated Node #0,1,3: 87:[11, 85] Operation: 90-5=85
Moving to Node #0,0
Current State: 87:[90, 7, 23], Operations: ['11+12=23']
Exploring Operation: 23-7=16, Resulting Numbers: [90, 16]
Generated Node #0,0,0: 87:[90, 16] Operation: 23-7=16
Exploring Operation: 90+7=97, Resulting Numbers: [23, 97]
Generated Node #0,0,1: 87:[23, 97] Operation: 90+7=97
Exploring Operation: 7+23=30, Resulting Numbers: [90, 30]
Generated Node #0,0,2: 87:[90, 30] Operation: 7+23=30
Exploring Operation: 90-7=83, Resulting Numbers: [23, 83]
Generated Node #0,0,3: 87:[23, 83] Operation: 90-7=83
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 87:[90, 30], Operations: ['11+12=23', '7+23=30']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,87 unequal: No Solution
Exploring Operation: 90/30=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 90*30=2700, Resulting Numbers: [2700]
2700,87 unequal: No Solution
Exploring Operation: 90+30=120, Resulting Numbers: [120]
120,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[23, 83], Operations: ['11+12=23', '90-7=83']
Exploring Operation: 23*83=1909, Resulting Numbers: [1909]
1909,87 unequal: No Solution
Exploring Operation: 23+83=106, Resulting Numbers: [106]
106,87 unequal: No Solution
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[90, 16], Operations: ['11+12=23', '23-7=16']
Exploring Operation: 90-16=74, Resulting Numbers: [74]
74,87 unequal: No Solution
Exploring Operation: 90*16=1440, Resulting Numbers: [1440]
1440,87 unequal: No Solution
Exploring Operation: 90+16=106, Resulting Numbers: [106]
106,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[23, 97], Operations: ['11+12=23', '90+7=97']
Exploring Operation: 23+97=120, Resulting Numbers: [120]
120,87 unequal: No Solution
Exploring Operation: 23*97=2231, Resulting Numbers: [2231]
2231,87 unequal: No Solution
Exploring Operation: 97-23=74, Resulting Numbers: [74]
74,87 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: 87:[90, 12, 4], Operations: ['11-7=4']
Exploring Operation: 90-4=86, Resulting Numbers: [12, 86]
Generated Node #0,2,0: 87:[12, 86] Operation: 90-4=86
Exploring Operation: 12-4=8, Resulting Numbers: [90, 8]
Generated Node #0,2,1: 87:[90, 8] Operation: 12-4=8
Exploring Operation: 90-12=78, Resulting Numbers: [4, 78]
Generated Node #0,2,2: 87:[4, 78] Operation: 90-12=78
Exploring Operation: 12/4=3, Resulting Numbers: [90, 3]
Generated Node #0,2,3: 87:[90, 3] Operation: 12/4=3
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 87:[90, 3], Operations: ['11-7=4', '12/4=3']
Exploring Operation: 90*3=270, Resulting Numbers: [270]
270,87 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[90, 7, 11, 12], Operations: []
Exploring Operation: 11-7=4, Resulting Numbers: [90, 12, 4]
Generated Node #0,2: 87:[90, 12, 4] Operation: 11-7=4
Moving to Node #0,2
Current State: 87:[90, 12, 4], Operations: ['11-7=4']
Exploring Operation: 12/4=3, Resulting Numbers: [90, 3]
Generated Node #0,2,3: 87:[90, 3] Operation: 12/4=3
Moving to Node #0,2,3
Current State: 87:[90, 3], Operations: ['11-7=4', '12/4=3']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146
|
hs_4
|
sum_heuristic
|
[
18,
30,
95,
12
] | 71
|
[
"30-18=12",
"95-12=83",
"83-12=71"
] |
Current State: 71:[18, 30, 95, 12], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [95, 12, 12]
Generated Node #2: [95, 12, 12] from Operation: 30-18=12
Current State: 71:[95, 12, 12], Operations: ['30-18=12']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,71 equal: Goal Reached
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
Current State: 71:[18, 30, 95, 12], Operations: []
Exploring Operation: 30+12=42, Resulting Numbers: [18, 95, 42]
Generated Node #0,0: 71:[18, 95, 42] Operation: 30+12=42
Exploring Operation: 95-12=83, Resulting Numbers: [18, 30, 83]
Generated Node #0,1: 71:[18, 30, 83] Operation: 95-12=83
Exploring Operation: 95-18=77, Resulting Numbers: [30, 12, 77]
Generated Node #0,2: 71:[30, 12, 77] Operation: 95-18=77
Exploring Operation: 18+12=30, Resulting Numbers: [30, 95, 30]
Generated Node #0,3: 71:[30, 95, 30] Operation: 18+12=30
Exploring Operation: 18+30=48, Resulting Numbers: [95, 12, 48]
Generated Node #0,4: 71:[95, 12, 48] Operation: 18+30=48
Moving to Node #0,0
Current State: 71:[18, 95, 42], Operations: ['30+12=42']
Exploring Operation: 95-42=53, Resulting Numbers: [18, 53]
Generated Node #0,0,0: 71:[18, 53] Operation: 95-42=53
Exploring Operation: 95-18=77, Resulting Numbers: [42, 77]
Generated Node #0,0,1: 71:[42, 77] Operation: 95-18=77
Exploring Operation: 18+42=60, Resulting Numbers: [95, 60]
Generated Node #0,0,2: 71:[95, 60] Operation: 18+42=60
Exploring Operation: 42-18=24, Resulting Numbers: [95, 24]
Generated Node #0,0,3: 71:[95, 24] Operation: 42-18=24
Exploring Operation: 18+95=113, Resulting Numbers: [42, 113]
Generated Node #0,0,4: 71:[42, 113] Operation: 18+95=113
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[42, 77], Operations: ['30+12=42', '95-18=77']
Exploring Operation: 42*77=3234, Resulting Numbers: [3234]
3234,71 unequal: No Solution
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 42+77=119, Resulting Numbers: [119]
119,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[95, 60], Operations: ['30+12=42', '18+42=60']
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 95+60=155, Resulting Numbers: [155]
155,71 unequal: No Solution
Exploring Operation: 95*60=5700, Resulting Numbers: [5700]
5700,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[18, 53], Operations: ['30+12=42', '95-42=53']
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[18, 30, 95, 12], Operations: []
Exploring Operation: 30+12=42, Resulting Numbers: [18, 95, 42]
Generated Node #0,0: 71:[18, 95, 42] Operation: 30+12=42
Moving to Node #0,0
Current State: 71:[18, 95, 42], Operations: ['30+12=42']
Exploring Operation: 95-42=53, Resulting Numbers: [18, 53]
Generated Node #0,0,0: 71:[18, 53] Operation: 95-42=53
Moving to Node #0,0,0
Current State: 71:[18, 53], Operations: ['30+12=42', '95-42=53']
Exploring Operation: 18+53=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903
|
hs_5
|
mult_heuristic
|
[
43,
4,
3,
18
] | 87
|
[
"43+4=47",
"47-18=29",
"3*29=87"
] |
Current State: 87:[43, 4, 3, 18], Operations: []
Exploring Operation: 43+4=47, Resulting Numbers: [3, 18, 47]
Generated Node #2: [3, 18, 47] from Operation: 43+4=47
Current State: 87:[3, 18, 47], Operations: ['43+4=47']
Exploring Operation: 47-18=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 47-18=29
Current State: 87:[3, 29], Operations: ['43+4=47', '47-18=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
Current State: 87:[43, 4, 3, 18], Operations: []
Exploring Operation: 43-18=25, Resulting Numbers: [4, 3, 25]
Generated Node #0,0: 87:[4, 3, 25] Operation: 43-18=25
Moving to Node #0,0
Current State: 87:[4, 3, 25], Operations: ['43-18=25']
Exploring Operation: 4+25=29, Resulting Numbers: [3, 29]
Generated Node #0,0,0: 87:[3, 29] Operation: 4+25=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[3, 29], Operations: ['43-18=25', '4+25=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[43, 4, 3, 18], Operations: []
Exploring Operation: 43-18=25, Resulting Numbers: [4, 3, 25]
Generated Node #0,0: 87:[4, 3, 25] Operation: 43-18=25
Moving to Node #0,0
Current State: 87:[4, 3, 25], Operations: ['43-18=25']
Exploring Operation: 4+25=29, Resulting Numbers: [3, 29]
Generated Node #0,0,0: 87:[3, 29] Operation: 4+25=29
Moving to Node #0,0,0
Current State: 87:[3, 29], Operations: ['43-18=25', '4+25=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
61,
2,
8,
96
] | 18
|
[
"61*2=122",
"8+96=104",
"122-104=18"
] |
Current State: 18:[61, 2, 8, 96], Operations: []
Exploring Operation: 61*2=122, Resulting Numbers: [8, 96, 122]
Generated Node #2: [8, 96, 122] from Operation: 61*2=122
Current State: 18:[8, 96, 122], Operations: ['61*2=122']
Exploring Operation: 8+96=104, Resulting Numbers: [122, 104]
Generated Node #3: [122, 104] from Operation: 8+96=104
Current State: 18:[122, 104], Operations: ['61*2=122', '8+96=104']
Exploring Operation: 122-104=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
Current State: 18:[61, 2, 8, 96], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [2, 8, 35]
Generated Node #0,0: 18:[2, 8, 35] Operation: 96-61=35
Exploring Operation: 96-8=88, Resulting Numbers: [61, 2, 88]
Generated Node #0,1: 18:[61, 2, 88] Operation: 96-8=88
Exploring Operation: 96/8=12, Resulting Numbers: [61, 2, 12]
Generated Node #0,2: 18:[61, 2, 12] Operation: 96/8=12
Exploring Operation: 96/2=48, Resulting Numbers: [61, 8, 48]
Generated Node #0,3: 18:[61, 8, 48] Operation: 96/2=48
Exploring Operation: 61-8=53, Resulting Numbers: [2, 96, 53]
Generated Node #0,4: 18:[2, 96, 53] Operation: 61-8=53
Moving to Node #0,0
Current State: 18:[2, 8, 35], Operations: ['96-61=35']
Exploring Operation: 8/2=4, Resulting Numbers: [35, 4]
Generated Node #0,0,0: 18:[35, 4] Operation: 8/2=4
Exploring Operation: 35-2=33, Resulting Numbers: [8, 33]
Generated Node #0,0,1: 18:[8, 33] Operation: 35-2=33
Exploring Operation: 35-8=27, Resulting Numbers: [2, 27]
Generated Node #0,0,2: 18:[2, 27] Operation: 35-8=27
Exploring Operation: 2+8=10, Resulting Numbers: [35, 10]
Generated Node #0,0,3: 18:[35, 10] Operation: 2+8=10
Exploring Operation: 8-2=6, Resulting Numbers: [35, 6]
Generated Node #0,0,4: 18:[35, 6] Operation: 8-2=6
Moving to Node #0,2
Current State: 18:[61, 2, 12], Operations: ['96/8=12']
Exploring Operation: 61-2=59, Resulting Numbers: [12, 59]
Generated Node #0,2,0: 18:[12, 59] Operation: 61-2=59
Exploring Operation: 2+12=14, Resulting Numbers: [61, 14]
Generated Node #0,2,1: 18:[61, 14] Operation: 2+12=14
Exploring Operation: 61-12=49, Resulting Numbers: [2, 49]
Generated Node #0,2,2: 18:[2, 49] Operation: 61-12=49
Exploring Operation: 12/2=6, Resulting Numbers: [61, 6]
Generated Node #0,2,3: 18:[61, 6] Operation: 12/2=6
Exploring Operation: 12-2=10, Resulting Numbers: [61, 10]
Generated Node #0,2,4: 18:[61, 10] Operation: 12-2=10
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[2, 49], Operations: ['96/8=12', '61-12=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,18 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,18 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:[61, 6], Operations: ['96/8=12', '12/2=6']
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,18 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,18 unequal: No Solution
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,18 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:[12, 59], Operations: ['96/8=12', '61-2=59']
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,18 unequal: No Solution
Exploring Operation: 12*59=708, Resulting Numbers: [708]
708,18 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,18 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:[61, 10], Operations: ['96/8=12', '12-2=10']
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,18 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 61*10=610, Resulting Numbers: [610]
610,18 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:[61, 14], Operations: ['96/8=12', '2+12=14']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,18 unequal: No Solution
Exploring Operation: 61*14=854, Resulting Numbers: [854]
854,18 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:[61, 8, 48], Operations: ['96/2=48']
Exploring Operation: 61-48=13, Resulting Numbers: [8, 13]
Generated Node #0,3,0: 18:[8, 13] Operation: 61-48=13
Exploring Operation: 61+8=69, Resulting Numbers: [48, 69]
Generated Node #0,3,1: 18:[48, 69] Operation: 61+8=69
Exploring Operation: 48-8=40, Resulting Numbers: [61, 40]
Generated Node #0,3,2: 18:[61, 40] Operation: 48-8=40
Exploring Operation: 48/8=6, Resulting Numbers: [61, 6]
Generated Node #0,3,3: 18:[61, 6] Operation: 48/8=6
Exploring Operation: 61-8=53, Resulting Numbers: [48, 53]
Generated Node #0,3,4: 18:[48, 53] Operation: 61-8=53
Moving to Node #0,1
Current State: 18:[61, 2, 88], Operations: ['96-8=88']
Exploring Operation: 88/2=44, Resulting Numbers: [61, 44]
Generated Node #0,1,0: 18:[61, 44] Operation: 88/2=44
Exploring Operation: 88-2=86, Resulting Numbers: [61, 86]
Generated Node #0,1,1: 18:[61, 86] Operation: 88-2=86
Exploring Operation: 88-61=27, Resulting Numbers: [2, 27]
Generated Node #0,1,2: 18:[2, 27] Operation: 88-61=27
Exploring Operation: 61-2=59, Resulting Numbers: [88, 59]
Generated Node #0,1,3: 18:[88, 59] Operation: 61-2=59
Exploring Operation: 61+2=63, Resulting Numbers: [88, 63]
Generated Node #0,1,4: 18:[88, 63] Operation: 61+2=63
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[2, 27], Operations: ['96-8=88', '88-61=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[61, 44], Operations: ['96-8=88', '88/2=44']
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,18 unequal: No Solution
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[61, 86], Operations: ['96-8=88', '88-2=86']
Exploring Operation: 61+86=147, Resulting Numbers: [147]
147,18 unequal: No Solution
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 61*86=5246, Resulting Numbers: [5246]
5246,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[88, 59], Operations: ['96-8=88', '61-2=59']
Exploring Operation: 88*59=5192, Resulting Numbers: [5192]
5192,18 unequal: No Solution
Exploring Operation: 88+59=147, Resulting Numbers: [147]
147,18 unequal: No Solution
Exploring Operation: 88-59=29, Resulting Numbers: [29]
29,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 18:[88, 63], Operations: ['96-8=88', '61+2=63']
Exploring Operation: 88-63=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 88*63=5544, Resulting Numbers: [5544]
5544,18 unequal: No Solution
Exploring Operation: 88+63=151, Resulting Numbers: [151]
151,18 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: 18:[2, 96, 53], Operations: ['61-8=53']
Exploring Operation: 96/2=48, Resulting Numbers: [53, 48]
Generated Node #0,4,0: 18:[53, 48] Operation: 96/2=48
Exploring Operation: 96-2=94, Resulting Numbers: [53, 94]
Generated Node #0,4,1: 18:[53, 94] Operation: 96-2=94
Exploring Operation: 53-2=51, Resulting Numbers: [96, 51]
Generated Node #0,4,2: 18:[96, 51] Operation: 53-2=51
Exploring Operation: 96-53=43, Resulting Numbers: [2, 43]
Generated Node #0,4,3: 18:[2, 43] Operation: 96-53=43
Exploring Operation: 2+96=98, Resulting Numbers: [53, 98]
Generated Node #0,4,4: 18:[53, 98] Operation: 2+96=98
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 18:[2, 43], Operations: ['61-8=53', '96-53=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,18 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,18 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 #0,4,0
Current State: 18:[53, 48], Operations: ['61-8=53', '96/2=48']
Exploring Operation: 53+48=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 53*48=2544, Resulting Numbers: [2544]
2544,18 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:[53, 94], Operations: ['61-8=53', '96-2=94']
Exploring Operation: 53*94=4982, Resulting Numbers: [4982]
4982,18 unequal: No Solution
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,18 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:[96, 51], Operations: ['61-8=53', '53-2=51']
Exploring Operation: 96*51=4896, Resulting Numbers: [4896]
4896,18 unequal: No Solution
Exploring Operation: 96+51=147, Resulting Numbers: [147]
147,18 unequal: No Solution
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,18 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:[53, 98], Operations: ['61-8=53', '2+96=98']
Exploring Operation: 53+98=151, Resulting Numbers: [151]
151,18 unequal: No Solution
Exploring Operation: 98-53=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 53*98=5194, Resulting Numbers: [5194]
5194,18 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: 18:[8, 13], Operations: ['96/2=48', '61-48=13']
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,18 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[2, 27], Operations: ['96-61=35', '35-8=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[8, 33], Operations: ['96-61=35', '35-2=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,18 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[35, 6], Operations: ['96-61=35', '8-2=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,18 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[35, 10], Operations: ['96-61=35', '2+8=10']
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,18 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[35, 4], Operations: ['96-61=35', '8/2=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,18 unequal: No Solution
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[61, 6], Operations: ['96/2=48', '48/8=6']
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,18 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,18 unequal: No Solution
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,18 unequal: No Solution
Moving to Node #0,3,4
Current State: 18:[48, 53], Operations: ['96/2=48', '61-8=53']
Exploring Operation: 48*53=2544, Resulting Numbers: [2544]
2544,18 unequal: No Solution
Exploring Operation: 48+53=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Moving to Node #0,3,2
Current State: 18:[61, 40], Operations: ['96/2=48', '48-8=40']
Exploring Operation: 61+40=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 61*40=2440, Resulting Numbers: [2440]
2440,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[48, 69], Operations: ['96/2=48', '61+8=69']
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,18 unequal: No Solution
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,18 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
71,
23,
68,
45
] | 65
|
[
"71-23=48",
"68+45=113",
"113-48=65"
] |
Current State: 65:[71, 23, 68, 45], Operations: []
Exploring Operation: 71-23=48, Resulting Numbers: [68, 45, 48]
Generated Node #2: [68, 45, 48] from Operation: 71-23=48
Current State: 65:[68, 45, 48], Operations: ['71-23=48']
Exploring Operation: 68+45=113, Resulting Numbers: [48, 113]
Generated Node #3: [48, 113] from Operation: 68+45=113
Current State: 65:[48, 113], Operations: ['71-23=48', '68+45=113']
Exploring Operation: 113-48=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[71, 23, 68, 45], Operations: []
Exploring Operation: 71-45=26, Resulting Numbers: [23, 68, 26]
Generated Node #0,0: 65:[23, 68, 26] Operation: 71-45=26
Exploring Operation: 45-23=22, Resulting Numbers: [71, 68, 22]
Generated Node #0,1: 65:[71, 68, 22] Operation: 45-23=22
Exploring Operation: 23+45=68, Resulting Numbers: [71, 68, 68]
Generated Node #0,2: 65:[71, 68, 68] Operation: 23+45=68
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[71, 68, 68], Operations: ['23+45=68']
Exploring Operation: 71-68=3, Resulting Numbers: [68, 3]
Generated Node #0,2,0: 65:[68, 3] Operation: 71-68=3
Exploring Operation: 71-68=3, Resulting Numbers: [68, 3]
Generated Node #0,2,1: 65:[68, 3] Operation: 71-68=3
Exploring Operation: 68/68=1, Resulting Numbers: [71, 1]
Generated Node #0,2,2: 65:[71, 1] Operation: 68/68=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[68, 3], Operations: ['23+45=68', '71-68=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[71, 23, 68, 45], Operations: []
Exploring Operation: 23+45=68, Resulting Numbers: [71, 68, 68]
Generated Node #0,2: 65:[71, 68, 68] Operation: 23+45=68
Moving to Node #0,2
Current State: 65:[71, 68, 68], Operations: ['23+45=68']
Exploring Operation: 71-68=3, Resulting Numbers: [68, 3]
Generated Node #0,2,0: 65:[68, 3] Operation: 71-68=3
Moving to Node #0,2,0
Current State: 65:[68, 3], Operations: ['23+45=68', '71-68=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
mult_heuristic
|
[
20,
24,
12,
2
] | 38
|
[
"20+24=44",
"12/2=6",
"44-6=38"
] |
Current State: 38:[20, 24, 12, 2], Operations: []
Exploring Operation: 20+24=44, Resulting Numbers: [12, 2, 44]
Generated Node #2: [12, 2, 44] from Operation: 20+24=44
Current State: 38:[12, 2, 44], Operations: ['20+24=44']
Exploring Operation: 12/2=6, Resulting Numbers: [44, 6]
Generated Node #3: [44, 6] from Operation: 12/2=6
Current State: 38:[44, 6], Operations: ['20+24=44', '12/2=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
Current State: 38:[20, 24, 12, 2], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [20, 24, 6]
Generated Node #0,0: 38:[20, 24, 6] Operation: 12/2=6
Exploring Operation: 24/12=2, Resulting Numbers: [20, 2, 2]
Generated Node #0,1: 38:[20, 2, 2] Operation: 24/12=2
Exploring Operation: 24+12=36, Resulting Numbers: [20, 2, 36]
Generated Node #0,2: 38:[20, 2, 36] Operation: 24+12=36
Exploring Operation: 24-20=4, Resulting Numbers: [12, 2, 4]
Generated Node #0,3: 38:[12, 2, 4] Operation: 24-20=4
Exploring Operation: 24-12=12, Resulting Numbers: [20, 2, 12]
Generated Node #0,4: 38:[20, 2, 12] Operation: 24-12=12
Moving to Node #0,1
Current State: 38:[20, 2, 2], Operations: ['24/12=2']
Exploring Operation: 20*2=40, Resulting Numbers: [2, 40]
Generated Node #0,1,0: 38:[2, 40] Operation: 20*2=40
Exploring Operation: 20-2=18, Resulting Numbers: [2, 18]
Generated Node #0,1,1: 38:[2, 18] Operation: 20-2=18
Exploring Operation: 20*2=40, Resulting Numbers: [2, 40]
Generated Node #0,1,2: 38:[2, 40] Operation: 20*2=40
Exploring Operation: 2/2=1, Resulting Numbers: [20, 1]
Generated Node #0,1,3: 38:[20, 1] Operation: 2/2=1
Exploring Operation: 20-2=18, Resulting Numbers: [2, 18]
Generated Node #0,1,4: 38:[2, 18] Operation: 20-2=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[2, 18], Operations: ['24/12=2', '20-2=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 38:[2, 18], Operations: ['24/12=2', '20-2=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,38 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[2, 40], Operations: ['24/12=2', '20*2=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[20, 24, 12, 2], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [20, 2, 2]
Generated Node #0,1: 38:[20, 2, 2] Operation: 24/12=2
Moving to Node #0,1
Current State: 38:[20, 2, 2], Operations: ['24/12=2']
Exploring Operation: 20*2=40, Resulting Numbers: [2, 40]
Generated Node #0,1,0: 38:[2, 40] Operation: 20*2=40
Moving to Node #0,1,0
Current State: 38:[2, 40], Operations: ['24/12=2', '20*2=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035
|
hs_5
|
mult_heuristic
|
[
70,
20,
88,
56
] | 28
|
[
"70+20=90",
"90-88=2",
"56/2=28"
] |
Current State: 28:[70, 20, 88, 56], Operations: []
Exploring Operation: 70+20=90, Resulting Numbers: [88, 56, 90]
Generated Node #2: [88, 56, 90] from Operation: 70+20=90
Current State: 28:[88, 56, 90], Operations: ['70+20=90']
Exploring Operation: 90-88=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 90-88=2
Current State: 28:[56, 2], Operations: ['70+20=90', '90-88=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[70, 20, 88, 56], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [20, 88, 14]
Generated Node #0,0: 28:[20, 88, 14] Operation: 70-56=14
Exploring Operation: 88-56=32, Resulting Numbers: [70, 20, 32]
Generated Node #0,1: 28:[70, 20, 32] Operation: 88-56=32
Exploring Operation: 88-70=18, Resulting Numbers: [20, 56, 18]
Generated Node #0,2: 28:[20, 56, 18] Operation: 88-70=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[20, 56, 18], Operations: ['88-70=18']
Exploring Operation: 56-20=36, Resulting Numbers: [18, 36]
Generated Node #0,2,0: 28:[18, 36] Operation: 56-20=36
Exploring Operation: 56-18=38, Resulting Numbers: [20, 38]
Generated Node #0,2,1: 28:[20, 38] Operation: 56-18=38
Exploring Operation: 20-18=2, Resulting Numbers: [56, 2]
Generated Node #0,2,2: 28:[56, 2] Operation: 20-18=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[18, 36], Operations: ['88-70=18', '56-20=36']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,28 unequal: No Solution
No 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: 28:[20, 38], Operations: ['88-70=18', '56-18=38']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,28 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No 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: 28:[56, 2], Operations: ['88-70=18', '20-18=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[70, 20, 88, 56], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [20, 56, 18]
Generated Node #0,2: 28:[20, 56, 18] Operation: 88-70=18
Moving to Node #0,2
Current State: 28:[20, 56, 18], Operations: ['88-70=18']
Exploring Operation: 20-18=2, Resulting Numbers: [56, 2]
Generated Node #0,2,2: 28:[56, 2] Operation: 20-18=2
Moving to Node #0,2,2
Current State: 28:[56, 2], Operations: ['88-70=18', '20-18=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375
|
hs_3
|
sum_heuristic
|
[
82,
13,
15,
34
] | 76
|
[
"82+13=95",
"34-15=19",
"95-19=76"
] |
Current State: 76:[82, 13, 15, 34], Operations: []
Exploring Operation: 82+13=95, Resulting Numbers: [15, 34, 95]
Generated Node #2: [15, 34, 95] from Operation: 82+13=95
Current State: 76:[15, 34, 95], Operations: ['82+13=95']
Exploring Operation: 34-15=19, Resulting Numbers: [95, 19]
Generated Node #3: [95, 19] from Operation: 34-15=19
Current State: 76:[95, 19], Operations: ['82+13=95', '34-15=19']
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[82, 13, 15, 34], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [82, 34, 2]
Generated Node #0,0: 76:[82, 34, 2] Operation: 15-13=2
Exploring Operation: 34-13=21, Resulting Numbers: [82, 15, 21]
Generated Node #0,1: 76:[82, 15, 21] Operation: 34-13=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[82, 34, 2], Operations: ['15-13=2']
Exploring Operation: 82-2=80, Resulting Numbers: [34, 80]
Generated Node #0,0,0: 76:[34, 80] Operation: 82-2=80
Exploring Operation: 82/2=41, Resulting Numbers: [34, 41]
Generated Node #0,0,1: 76:[34, 41] Operation: 82/2=41
Moving to Node #0,0,1
Current State: 76:[34, 41], Operations: ['15-13=2', '82/2=41']
Exploring Operation: 34+41=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[34, 80], Operations: ['15-13=2', '82-2=80']
Exploring Operation: 34+80=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[82, 15, 21], Operations: ['34-13=21']
Exploring Operation: 21-15=6, Resulting Numbers: [82, 6]
Generated Node #0,1,0: 76:[82, 6] Operation: 21-15=6
Exploring Operation: 15+21=36, Resulting Numbers: [82, 36]
Generated Node #0,1,1: 76:[82, 36] Operation: 15+21=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[82, 6], Operations: ['34-13=21', '21-15=6']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[82, 13, 15, 34], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [82, 15, 21]
Generated Node #0,1: 76:[82, 15, 21] Operation: 34-13=21
Moving to Node #0,1
Current State: 76:[82, 15, 21], Operations: ['34-13=21']
Exploring Operation: 21-15=6, Resulting Numbers: [82, 6]
Generated Node #0,1,0: 76:[82, 6] Operation: 21-15=6
Moving to Node #0,1,0
Current State: 76:[82, 6], Operations: ['34-13=21', '21-15=6']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_2
|
mult_heuristic
|
[
45,
32,
89,
2
] | 83
|
[
"45+32=77",
"89+77=166",
"166/2=83"
] |
Current State: 83:[45, 32, 89, 2], Operations: []
Exploring Operation: 45+32=77, Resulting Numbers: [89, 2, 77]
Generated Node #2: [89, 2, 77] from Operation: 45+32=77
Current State: 83:[89, 2, 77], Operations: ['45+32=77']
Exploring Operation: 89+77=166, Resulting Numbers: [2, 166]
Generated Node #3: [2, 166] from Operation: 89+77=166
Current State: 83:[2, 166], Operations: ['45+32=77', '89+77=166']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[45, 32, 89, 2], Operations: []
Exploring Operation: 32*2=64, Resulting Numbers: [45, 89, 64]
Generated Node #0,0: 83:[45, 89, 64] Operation: 32*2=64
Moving to Node #0,0
Current State: 83:[45, 89, 64], Operations: ['32*2=64']
Exploring Operation: 45+64=109, Resulting Numbers: [89, 109]
Generated Node #0,0,0: 83:[89, 109] Operation: 45+64=109
Moving to Node #0,0,0
Current State: 83:[89, 109], Operations: ['32*2=64', '45+64=109']
Exploring Operation: 109-89=20, Resulting Numbers: [20]
20,83 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
99,
47,
42,
86
] | 89
|
[
"99+42=141",
"141/47=3",
"86+3=89"
] |
Current State: 89:[99, 47, 42, 86], Operations: []
Exploring Operation: 99+42=141, Resulting Numbers: [47, 86, 141]
Generated Node #2: [47, 86, 141] from Operation: 99+42=141
Current State: 89:[47, 86, 141], Operations: ['99+42=141']
Exploring Operation: 141/47=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 141/47=3
Current State: 89:[86, 3], Operations: ['99+42=141', '141/47=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[99, 47, 42, 86], Operations: []
Exploring Operation: 99-47=52, Resulting Numbers: [42, 86, 52]
Generated Node #0,0: 89:[42, 86, 52] Operation: 99-47=52
Exploring Operation: 99-42=57, Resulting Numbers: [47, 86, 57]
Generated Node #0,1: 89:[47, 86, 57] Operation: 99-42=57
Exploring Operation: 47+42=89, Resulting Numbers: [99, 86, 89]
Generated Node #0,2: 89:[99, 86, 89] Operation: 47+42=89
Exploring Operation: 42+86=128, Resulting Numbers: [99, 47, 128]
Generated Node #0,3: 89:[99, 47, 128] Operation: 42+86=128
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[99, 86, 89], Operations: ['47+42=89']
Exploring Operation: 99+86=185, Resulting Numbers: [89, 185]
Generated Node #0,2,0: 89:[89, 185] Operation: 99+86=185
Exploring Operation: 86+89=175, Resulting Numbers: [99, 175]
Generated Node #0,2,1: 89:[99, 175] Operation: 86+89=175
Exploring Operation: 99-86=13, Resulting Numbers: [89, 13]
Generated Node #0,2,2: 89:[89, 13] Operation: 99-86=13
Exploring Operation: 99-89=10, Resulting Numbers: [86, 10]
Generated Node #0,2,3: 89:[86, 10] Operation: 99-89=10
Moving to Node #0,2,2
Current State: 89:[89, 13], Operations: ['47+42=89', '99-86=13']
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,89 unequal: No Solution
Exploring Operation: 89*13=1157, Resulting Numbers: [1157]
1157,89 unequal: No Solution
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[86, 10], Operations: ['47+42=89', '99-89=10']
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,89 unequal: No Solution
Exploring Operation: 86*10=860, Resulting Numbers: [860]
860,89 unequal: No Solution
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[99, 175], Operations: ['47+42=89', '86+89=175']
Exploring Operation: 175-99=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 99+175=274, Resulting Numbers: [274]
274,89 unequal: No Solution
Exploring Operation: 99*175=17325, Resulting Numbers: [17325]
17325,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[89, 185], Operations: ['47+42=89', '99+86=185']
Exploring Operation: 89*185=16465, Resulting Numbers: [16465]
16465,89 unequal: No Solution
Exploring Operation: 185-89=96, Resulting Numbers: [96]
96,89 unequal: No Solution
Exploring Operation: 89+185=274, Resulting Numbers: [274]
274,89 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 #0,1
Current State: 89:[47, 86, 57], Operations: ['99-42=57']
Exploring Operation: 86-47=39, Resulting Numbers: [57, 39]
Generated Node #0,1,0: 89:[57, 39] Operation: 86-47=39
Exploring Operation: 47+57=104, Resulting Numbers: [86, 104]
Generated Node #0,1,1: 89:[86, 104] Operation: 47+57=104
Exploring Operation: 47+86=133, Resulting Numbers: [57, 133]
Generated Node #0,1,2: 89:[57, 133] Operation: 47+86=133
Exploring Operation: 57-47=10, Resulting Numbers: [86, 10]
Generated Node #0,1,3: 89:[86, 10] Operation: 57-47=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[86, 104], Operations: ['99-42=57', '47+57=104']
Exploring Operation: 86*104=8944, Resulting Numbers: [8944]
8944,89 unequal: No Solution
Exploring Operation: 104-86=18, Resulting Numbers: [18]
18,89 unequal: No Solution
Exploring Operation: 86+104=190, Resulting Numbers: [190]
190,89 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:[57, 133], Operations: ['99-42=57', '47+86=133']
Exploring Operation: 57+133=190, Resulting Numbers: [190]
190,89 unequal: No Solution
Exploring Operation: 57*133=7581, Resulting Numbers: [7581]
7581,89 unequal: No Solution
Exploring Operation: 133-57=76, Resulting Numbers: [76]
76,89 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:[57, 39], Operations: ['99-42=57', '86-47=39']
Exploring Operation: 57*39=2223, Resulting Numbers: [2223]
2223,89 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,89 unequal: No Solution
Exploring Operation: 57+39=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 #0,1,3
Current State: 89:[86, 10], Operations: ['99-42=57', '57-47=10']
Exploring Operation: 86*10=860, Resulting Numbers: [860]
860,89 unequal: No Solution
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Exploring Operation: 86+10=96, Resulting Numbers: [96]
96,89 unequal: No Solution
No solution found.
Exit Sub Search at level 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:[42, 86, 52], Operations: ['99-47=52']
Exploring Operation: 86-42=44, Resulting Numbers: [52, 44]
Generated Node #0,0,0: 89:[52, 44] Operation: 86-42=44
Exploring Operation: 52-42=10, Resulting Numbers: [86, 10]
Generated Node #0,0,1: 89:[86, 10] Operation: 52-42=10
Exploring Operation: 42+86=128, Resulting Numbers: [52, 128]
Generated Node #0,0,2: 89:[52, 128] Operation: 42+86=128
Exploring Operation: 42+52=94, Resulting Numbers: [86, 94]
Generated Node #0,0,3: 89:[86, 94] Operation: 42+52=94
Moving to Node #0,0,3
Current State: 89:[86, 94], Operations: ['99-47=52', '42+52=94']
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,89 unequal: No Solution
Exploring Operation: 86*94=8084, Resulting Numbers: [8084]
8084,89 unequal: No Solution
Exploring Operation: 86+94=180, Resulting Numbers: [180]
180,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[52, 128], Operations: ['99-47=52', '42+86=128']
Exploring Operation: 52*128=6656, Resulting Numbers: [6656]
6656,89 unequal: No Solution
Exploring Operation: 52+128=180, Resulting Numbers: [180]
180,89 unequal: No Solution
Exploring Operation: 128-52=76, Resulting Numbers: [76]
76,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[86, 10], Operations: ['99-47=52', '52-42=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
Moving to Node #0,0,0
Current State: 89:[52, 44], Operations: ['99-47=52', '86-42=44']
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,89 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,89 unequal: No Solution
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[99, 47, 128], Operations: ['42+86=128']
Exploring Operation: 99-47=52, Resulting Numbers: [128, 52]
Generated Node #0,3,0: 89:[128, 52] Operation: 99-47=52
Exploring Operation: 99+47=146, Resulting Numbers: [128, 146]
Generated Node #0,3,1: 89:[128, 146] Operation: 99+47=146
Exploring Operation: 128-47=81, Resulting Numbers: [99, 81]
Generated Node #0,3,2: 89:[99, 81] Operation: 128-47=81
Exploring Operation: 47+128=175, Resulting Numbers: [99, 175]
Generated Node #0,3,3: 89:[99, 175] Operation: 47+128=175
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 89:[99, 81], Operations: ['42+86=128', '128-47=81']
Exploring Operation: 99*81=8019, Resulting Numbers: [8019]
8019,89 unequal: No Solution
Exploring Operation: 99+81=180, Resulting Numbers: [180]
180,89 unequal: No Solution
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,89 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 #0,3,0
Current State: 89:[128, 52], Operations: ['42+86=128', '99-47=52']
Exploring Operation: 128+52=180, Resulting Numbers: [180]
180,89 unequal: No Solution
Exploring Operation: 128*52=6656, Resulting Numbers: [6656]
6656,89 unequal: No Solution
Exploring Operation: 128-52=76, Resulting Numbers: [76]
76,89 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 #0,3,1
Current State: 89:[128, 146], Operations: ['42+86=128', '99+47=146']
Exploring Operation: 128+146=274, Resulting Numbers: [274]
274,89 unequal: No Solution
Exploring Operation: 128*146=18688, Resulting Numbers: [18688]
18688,89 unequal: No Solution
Exploring Operation: 146-128=18, Resulting Numbers: [18]
18,89 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 #0,3,3
Current State: 89:[99, 175], Operations: ['42+86=128', '47+128=175']
Exploring Operation: 99*175=17325, Resulting Numbers: [17325]
17325,89 unequal: No Solution
Exploring Operation: 99+175=274, Resulting Numbers: [274]
274,89 unequal: No Solution
Exploring Operation: 175-99=76, Resulting Numbers: [76]
76,89 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
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
48,
37,
3,
96
] | 75
|
[
"48/3=16",
"96-37=59",
"16+59=75"
] |
Current State: 75:[48, 37, 3, 96], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [37, 96, 16]
Generated Node #2: [37, 96, 16] from Operation: 48/3=16
Current State: 75:[37, 96, 16], Operations: ['48/3=16']
Exploring Operation: 96-37=59, Resulting Numbers: [16, 59]
Generated Node #3: [16, 59] from Operation: 96-37=59
Current State: 75:[16, 59], Operations: ['48/3=16', '96-37=59']
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[48, 37, 3, 96], Operations: []
Exploring Operation: 48+37=85, Resulting Numbers: [3, 96, 85]
Generated Node #0,0: 75:[3, 96, 85] Operation: 48+37=85
Exploring Operation: 48-37=11, Resulting Numbers: [3, 96, 11]
Generated Node #0,1: 75:[3, 96, 11] Operation: 48-37=11
Exploring Operation: 96/48=2, Resulting Numbers: [37, 3, 2]
Generated Node #0,2: 75:[37, 3, 2] Operation: 96/48=2
Exploring Operation: 48/3=16, Resulting Numbers: [37, 96, 16]
Generated Node #0,3: 75:[37, 96, 16] Operation: 48/3=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[37, 3, 2], Operations: ['96/48=2']
Exploring Operation: 37-2=35, Resulting Numbers: [3, 35]
Generated Node #0,2,0: 75:[3, 35] Operation: 37-2=35
Exploring Operation: 37-3=34, Resulting Numbers: [2, 34]
Generated Node #0,2,1: 75:[2, 34] Operation: 37-3=34
Exploring Operation: 3+2=5, Resulting Numbers: [37, 5]
Generated Node #0,2,2: 75:[37, 5] Operation: 3+2=5
Exploring Operation: 37*2=74, Resulting Numbers: [3, 74]
Generated Node #0,2,3: 75:[3, 74] Operation: 37*2=74
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 75:[3, 74], Operations: ['96/48=2', '37*2=74']
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,75 unequal: No Solution
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,75 unequal: No Solution
No 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: 75:[3, 35], Operations: ['96/48=2', '37-2=35']
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,75 unequal: No Solution
No 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: 75:[2, 34], Operations: ['96/48=2', '37-3=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,75 unequal: No Solution
No 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: 75:[37, 5], Operations: ['96/48=2', '3+2=5']
Exploring Operation: 37*5=185, Resulting Numbers: [185]
185,75 unequal: No Solution
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[3, 96, 11], Operations: ['48-37=11']
Exploring Operation: 96/3=32, Resulting Numbers: [11, 32]
Generated Node #0,1,0: 75:[11, 32] Operation: 96/3=32
Exploring Operation: 3+11=14, Resulting Numbers: [96, 14]
Generated Node #0,1,1: 75:[96, 14] Operation: 3+11=14
Exploring Operation: 96-3=93, Resulting Numbers: [11, 93]
Generated Node #0,1,2: 75:[11, 93] Operation: 96-3=93
Exploring Operation: 96-11=85, Resulting Numbers: [3, 85]
Generated Node #0,1,3: 75:[3, 85] Operation: 96-11=85
Moving to Node #0,1,3
Current State: 75:[3, 85], Operations: ['48-37=11', '96-11=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,75 unequal: No Solution
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,75 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[11, 32], Operations: ['48-37=11', '96/3=32']
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 11*32=352, Resulting Numbers: [352]
352,75 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[11, 93], Operations: ['48-37=11', '96-3=93']
Exploring Operation: 11+93=104, Resulting Numbers: [104]
104,75 unequal: No Solution
Exploring Operation: 11*93=1023, Resulting Numbers: [1023]
1023,75 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[96, 14], Operations: ['48-37=11', '3+11=14']
Exploring Operation: 96+14=110, Resulting Numbers: [110]
110,75 unequal: No Solution
Exploring Operation: 96*14=1344, Resulting Numbers: [1344]
1344,75 unequal: No Solution
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,75 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
Current State: 75:[3, 96, 85], Operations: ['48+37=85']
Exploring Operation: 96-3=93, Resulting Numbers: [85, 93]
Generated Node #0,0,0: 75:[85, 93] Operation: 96-3=93
Exploring Operation: 85-3=82, Resulting Numbers: [96, 82]
Generated Node #0,0,1: 75:[96, 82] Operation: 85-3=82
Exploring Operation: 96/3=32, Resulting Numbers: [85, 32]
Generated Node #0,0,2: 75:[85, 32] Operation: 96/3=32
Exploring Operation: 96-85=11, Resulting Numbers: [3, 11]
Generated Node #0,0,3: 75:[3, 11] Operation: 96-85=11
Moving to Node #0,0,3
Current State: 75:[3, 11], Operations: ['48+37=85', '96-85=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[85, 32], Operations: ['48+37=85', '96/3=32']
Exploring Operation: 85*32=2720, Resulting Numbers: [2720]
2720,75 unequal: No Solution
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 85+32=117, Resulting Numbers: [117]
117,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[96, 82], Operations: ['48+37=85', '85-3=82']
Exploring Operation: 96+82=178, Resulting Numbers: [178]
178,75 unequal: No Solution
Exploring Operation: 96-82=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 96*82=7872, Resulting Numbers: [7872]
7872,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[85, 93], Operations: ['48+37=85', '96-3=93']
Exploring Operation: 85*93=7905, Resulting Numbers: [7905]
7905,75 unequal: No Solution
Exploring Operation: 85+93=178, Resulting Numbers: [178]
178,75 unequal: No Solution
Exploring Operation: 93-85=8, Resulting Numbers: [8]
8,75 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 #0,3
Current State: 75:[37, 96, 16], Operations: ['48/3=16']
Exploring Operation: 37-16=21, Resulting Numbers: [96, 21]
Generated Node #0,3,0: 75:[96, 21] Operation: 37-16=21
Exploring Operation: 96-16=80, Resulting Numbers: [37, 80]
Generated Node #0,3,1: 75:[37, 80] Operation: 96-16=80
Exploring Operation: 96-37=59, Resulting Numbers: [16, 59]
Generated Node #0,3,2: 75:[16, 59] Operation: 96-37=59
Exploring Operation: 96/16=6, Resulting Numbers: [37, 6]
Generated Node #0,3,3: 75:[37, 6] Operation: 96/16=6
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[37, 6], Operations: ['48/3=16', '96/16=6']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,75 unequal: No Solution
No 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: 75:[37, 80], Operations: ['48/3=16', '96-16=80']
Exploring Operation: 37*80=2960, Resulting Numbers: [2960]
2960,75 unequal: No Solution
Exploring Operation: 37+80=117, Resulting Numbers: [117]
117,75 unequal: No Solution
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,75 unequal: No Solution
No 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: 75:[16, 59], Operations: ['48/3=16', '96-37=59']
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,75 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[48, 37, 3, 96], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [37, 96, 16]
Generated Node #0,3: 75:[37, 96, 16] Operation: 48/3=16
Moving to Node #0,3
Current State: 75:[37, 96, 16], Operations: ['48/3=16']
Exploring Operation: 96-37=59, Resulting Numbers: [16, 59]
Generated Node #0,3,2: 75:[16, 59] Operation: 96-37=59
Moving to Node #0,3,2
Current State: 75:[16, 59], Operations: ['48/3=16', '96-37=59']
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.939236
|
hs_4
|
mult_heuristic
|
[
23,
97,
25,
21
] | 95
|
[
"25+21=46",
"46/23=2",
"97-2=95"
] |
Current State: 95:[23, 97, 25, 21], Operations: []
Exploring Operation: 25+21=46, Resulting Numbers: [23, 97, 46]
Generated Node #2: [23, 97, 46] from Operation: 25+21=46
Current State: 95:[23, 97, 46], Operations: ['25+21=46']
Exploring Operation: 46/23=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 46/23=2
Current State: 95:[97, 2], Operations: ['25+21=46', '46/23=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[23, 97, 25, 21], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [23, 97, 4]
Generated Node #0,0: 95:[23, 97, 4] Operation: 25-21=4
Exploring Operation: 25-23=2, Resulting Numbers: [97, 21, 2]
Generated Node #0,1: 95:[97, 21, 2] Operation: 25-23=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[23, 97, 4], Operations: ['25-21=4']
Exploring Operation: 23*4=92, Resulting Numbers: [97, 92]
Generated Node #0,0,0: 95:[97, 92] Operation: 23*4=92
Exploring Operation: 23-4=19, Resulting Numbers: [97, 19]
Generated Node #0,0,1: 95:[97, 19] Operation: 23-4=19
Moving to Node #0,0,1
Current State: 95:[97, 19], Operations: ['25-21=4', '23-4=19']
Exploring Operation: 97+19=116, Resulting Numbers: [116]
116,95 unequal: No Solution
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[97, 92], Operations: ['25-21=4', '23*4=92']
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 97+92=189, Resulting Numbers: [189]
189,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[97, 21, 2], Operations: ['25-23=2']
Exploring Operation: 97-2=95, Resulting Numbers: [21, 95]
Generated Node #0,1,0: 95:[21, 95] Operation: 97-2=95
Exploring Operation: 21-2=19, Resulting Numbers: [97, 19]
Generated Node #0,1,1: 95:[97, 19] Operation: 21-2=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[21, 95], Operations: ['25-23=2', '97-2=95']
Exploring Operation: 21+95=116, Resulting Numbers: [116]
116,95 unequal: No Solution
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,95 unequal: No Solution
No 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: 95:[97, 19], Operations: ['25-23=2', '21-2=19']
Exploring Operation: 97+19=116, Resulting Numbers: [116]
116,95 unequal: No Solution
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,95 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_2
|
sum_heuristic
|
[
60,
72,
55,
13
] | 55
|
[
"72-60=12",
"13-12=1",
"55*1=55"
] |
Current State: 55:[60, 72, 55, 13], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [55, 13, 12]
Generated Node #2: [55, 13, 12] from Operation: 72-60=12
Current State: 55:[55, 13, 12], Operations: ['72-60=12']
Exploring Operation: 13-12=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 13-12=1
Current State: 55:[55, 1], Operations: ['72-60=12', '13-12=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
Current State: 55:[60, 72, 55, 13], Operations: []
Exploring Operation: 72-13=59, Resulting Numbers: [60, 55, 59]
Generated Node #0,0: 55:[60, 55, 59] Operation: 72-13=59
Exploring Operation: 72-60=12, Resulting Numbers: [55, 13, 12]
Generated Node #0,1: 55:[55, 13, 12] Operation: 72-60=12
Moving to Node #0,1
Current State: 55:[55, 13, 12], Operations: ['72-60=12']
Exploring Operation: 13-12=1, Resulting Numbers: [55, 1]
Generated Node #0,1,0: 55:[55, 1] Operation: 13-12=1
Exploring Operation: 55+13=68, Resulting Numbers: [12, 68]
Generated Node #0,1,1: 55:[12, 68] Operation: 55+13=68
Moving to Node #0,0
Current State: 55:[60, 55, 59], Operations: ['72-13=59']
Exploring Operation: 60-59=1, Resulting Numbers: [55, 1]
Generated Node #0,0,0: 55:[55, 1] Operation: 60-59=1
Exploring Operation: 60-55=5, Resulting Numbers: [59, 5]
Generated Node #0,0,1: 55:[59, 5] Operation: 60-55=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[55, 1], Operations: ['72-13=59', '60-59=1']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[60, 72, 55, 13], Operations: []
Exploring Operation: 72-13=59, Resulting Numbers: [60, 55, 59]
Generated Node #0,0: 55:[60, 55, 59] Operation: 72-13=59
Moving to Node #0,0
Current State: 55:[60, 55, 59], Operations: ['72-13=59']
Exploring Operation: 60-59=1, Resulting Numbers: [55, 1]
Generated Node #0,0,0: 55:[55, 1] Operation: 60-59=1
Moving to Node #0,0,0
Current State: 55:[55, 1], Operations: ['72-13=59', '60-59=1']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
mult_heuristic
|
[
39,
30,
27,
44
] | 80
|
[
"39-30=9",
"27+44=71",
"9+71=80"
] |
Current State: 80:[39, 30, 27, 44], Operations: []
Exploring Operation: 39-30=9, Resulting Numbers: [27, 44, 9]
Generated Node #2: [27, 44, 9] from Operation: 39-30=9
Current State: 80:[27, 44, 9], Operations: ['39-30=9']
Exploring Operation: 27+44=71, Resulting Numbers: [9, 71]
Generated Node #3: [9, 71] from Operation: 27+44=71
Current State: 80:[9, 71], Operations: ['39-30=9', '27+44=71']
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[39, 30, 27, 44], Operations: []
Exploring Operation: 39-30=9, Resulting Numbers: [27, 44, 9]
Generated Node #0,0: 80:[27, 44, 9] Operation: 39-30=9
Exploring Operation: 44-30=14, Resulting Numbers: [39, 27, 14]
Generated Node #0,1: 80:[39, 27, 14] Operation: 44-30=14
Exploring Operation: 30-27=3, Resulting Numbers: [39, 44, 3]
Generated Node #0,2: 80:[39, 44, 3] Operation: 30-27=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[39, 44, 3], Operations: ['30-27=3']
Exploring Operation: 44-3=41, Resulting Numbers: [39, 41]
Generated Node #0,2,0: 80:[39, 41] Operation: 44-3=41
Exploring Operation: 44-39=5, Resulting Numbers: [3, 5]
Generated Node #0,2,1: 80:[3, 5] Operation: 44-39=5
Exploring Operation: 39+44=83, Resulting Numbers: [3, 83]
Generated Node #0,2,2: 80:[3, 83] Operation: 39+44=83
Moving to Node #0,2,1
Current State: 80:[3, 5], Operations: ['30-27=3', '44-39=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[39, 41], Operations: ['30-27=3', '44-3=41']
Exploring Operation: 39*41=1599, Resulting Numbers: [1599]
1599,80 unequal: No Solution
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[39, 30, 27, 44], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [39, 44, 3]
Generated Node #0,2: 80:[39, 44, 3] Operation: 30-27=3
Moving to Node #0,2
Current State: 80:[39, 44, 3], Operations: ['30-27=3']
Exploring Operation: 44-3=41, Resulting Numbers: [39, 41]
Generated Node #0,2,0: 80:[39, 41] Operation: 44-3=41
Moving to Node #0,2,0
Current State: 80:[39, 41], Operations: ['30-27=3', '44-3=41']
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_3
|
mult_heuristic
|
[
20,
24,
56,
36
] | 88
|
[
"24-20=4",
"56+36=92",
"92-4=88"
] |
Current State: 88:[20, 24, 56, 36], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [56, 36, 4]
Generated Node #2: [56, 36, 4] from Operation: 24-20=4
Current State: 88:[56, 36, 4], Operations: ['24-20=4']
Exploring Operation: 56+36=92, Resulting Numbers: [4, 92]
Generated Node #3: [4, 92] from Operation: 56+36=92
Current State: 88:[4, 92], Operations: ['24-20=4', '56+36=92']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
Current State: 88:[20, 24, 56, 36], Operations: []
Exploring Operation: 56-36=20, Resulting Numbers: [20, 24, 20]
Generated Node #0,0: 88:[20, 24, 20] Operation: 56-36=20
Exploring Operation: 56+36=92, Resulting Numbers: [20, 24, 92]
Generated Node #0,1: 88:[20, 24, 92] Operation: 56+36=92
Exploring Operation: 36-24=12, Resulting Numbers: [20, 56, 12]
Generated Node #0,2: 88:[20, 56, 12] Operation: 36-24=12
Exploring Operation: 24+56=80, Resulting Numbers: [20, 36, 80]
Generated Node #0,3: 88:[20, 36, 80] Operation: 24+56=80
Exploring Operation: 56-20=36, Resulting Numbers: [24, 36, 36]
Generated Node #0,4: 88:[24, 36, 36] Operation: 56-20=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[20, 24, 20], Operations: ['56-36=20']
Exploring Operation: 24-20=4, Resulting Numbers: [20, 4]
Generated Node #0,0,0: 88:[20, 4] Operation: 24-20=4
Exploring Operation: 24+20=44, Resulting Numbers: [20, 44]
Generated Node #0,0,1: 88:[20, 44] Operation: 24+20=44
Exploring Operation: 24-20=4, Resulting Numbers: [20, 4]
Generated Node #0,0,2: 88:[20, 4] Operation: 24-20=4
Exploring Operation: 20/20=1, Resulting Numbers: [24, 1]
Generated Node #0,0,3: 88:[24, 1] Operation: 20/20=1
Exploring Operation: 20+24=44, Resulting Numbers: [20, 44]
Generated Node #0,0,4: 88:[20, 44] Operation: 20+24=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[20, 4], Operations: ['56-36=20', '24-20=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,88 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,88 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,88 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:[20, 44], Operations: ['56-36=20', '24+20=44']
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,88 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,88 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:[20, 4], Operations: ['56-36=20', '24-20=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,88 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,88 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,88 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 #0,0,4
Current State: 88:[20, 44], Operations: ['56-36=20', '20+24=44']
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,88 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,88 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,88 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:[24, 1], Operations: ['56-36=20', '20/20=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,88 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:[20, 24, 92], Operations: ['56+36=92']
Exploring Operation: 24-20=4, Resulting Numbers: [92, 4]
Generated Node #0,1,0: 88:[92, 4] Operation: 24-20=4
Exploring Operation: 92-20=72, Resulting Numbers: [24, 72]
Generated Node #0,1,1: 88:[24, 72] Operation: 92-20=72
Exploring Operation: 92-24=68, Resulting Numbers: [20, 68]
Generated Node #0,1,2: 88:[20, 68] Operation: 92-24=68
Exploring Operation: 20+24=44, Resulting Numbers: [92, 44]
Generated Node #0,1,3: 88:[92, 44] Operation: 20+24=44
Exploring Operation: 20+92=112, Resulting Numbers: [24, 112]
Generated Node #0,1,4: 88:[24, 112] Operation: 20+92=112
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 88:[92, 4], Operations: ['56+36=92', '24-20=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,88 unequal: No Solution
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[20, 24, 56, 36], Operations: []
Exploring Operation: 56+36=92, Resulting Numbers: [20, 24, 92]
Generated Node #0,1: 88:[20, 24, 92] Operation: 56+36=92
Moving to Node #0,1
Current State: 88:[20, 24, 92], Operations: ['56+36=92']
Exploring Operation: 24-20=4, Resulting Numbers: [92, 4]
Generated Node #0,1,0: 88:[92, 4] Operation: 24-20=4
Moving to Node #0,1,0
Current State: 88:[92, 4], Operations: ['56+36=92', '24-20=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278
|
hs_5
|
mult_heuristic
|
[
14,
8,
2,
19
] | 62
|
[
"8/2=4",
"19*4=76",
"76-14=62"
] |
Current State: 62:[14, 8, 2, 19], Operations: []
Exploring Operation: 8/2=4, Resulting Numbers: [14, 19, 4]
Generated Node #2: [14, 19, 4] from Operation: 8/2=4
Current State: 62:[14, 19, 4], Operations: ['8/2=4']
Exploring Operation: 19*4=76, Resulting Numbers: [14, 76]
Generated Node #3: [14, 76] from Operation: 19*4=76
Current State: 62:[14, 76], Operations: ['8/2=4', '19*4=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[14, 8, 2, 19], Operations: []
Exploring Operation: 14+19=33, Resulting Numbers: [8, 2, 33]
Generated Node #0,0: 62:[8, 2, 33] Operation: 14+19=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[8, 2, 33], Operations: ['14+19=33']
Exploring Operation: 8/2=4, Resulting Numbers: [33, 4]
Generated Node #0,0,0: 62:[33, 4] Operation: 8/2=4
Moving to Node #0,0,0
Current State: 62:[33, 4], Operations: ['14+19=33', '8/2=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,62 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
|
[
45,
4,
95,
60
] | 100
|
[
"45+95=140",
"4*60=240",
"240-140=100"
] |
Current State: 100:[45, 4, 95, 60], Operations: []
Exploring Operation: 45+95=140, Resulting Numbers: [4, 60, 140]
Generated Node #2: [4, 60, 140] from Operation: 45+95=140
Current State: 100:[4, 60, 140], Operations: ['45+95=140']
Exploring Operation: 4*60=240, Resulting Numbers: [140, 240]
Generated Node #3: [140, 240] from Operation: 4*60=240
Current State: 100:[140, 240], Operations: ['45+95=140', '4*60=240']
Exploring Operation: 240-140=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[45, 4, 95, 60], Operations: []
Exploring Operation: 95-45=50, Resulting Numbers: [4, 60, 50]
Generated Node #0,0: 100:[4, 60, 50] Operation: 95-45=50
Moving to Node #0,0
Current State: 100:[4, 60, 50], Operations: ['95-45=50']
Exploring Operation: 60-50=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 100:[4, 10] Operation: 60-50=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[4, 10], Operations: ['95-45=50', '60-50=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,100 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
|
[
32,
95,
57,
99
] | 71
|
[
"99-95=4",
"32*4=128",
"128-57=71"
] |
Current State: 71:[32, 95, 57, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [32, 57, 4]
Generated Node #2: [32, 57, 4] from Operation: 99-95=4
Current State: 71:[32, 57, 4], Operations: ['99-95=4']
Exploring Operation: 32*4=128, Resulting Numbers: [57, 128]
Generated Node #3: [57, 128] from Operation: 32*4=128
Current State: 71:[57, 128], Operations: ['99-95=4', '32*4=128']
Exploring Operation: 128-57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
Current State: 71:[32, 95, 57, 99], Operations: []
Exploring Operation: 99-32=67, Resulting Numbers: [95, 57, 67]
Generated Node #0,0: 71:[95, 57, 67] Operation: 99-32=67
Exploring Operation: 95-32=63, Resulting Numbers: [57, 99, 63]
Generated Node #0,1: 71:[57, 99, 63] Operation: 95-32=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[95, 57, 67], Operations: ['99-32=67']
Exploring Operation: 95-67=28, Resulting Numbers: [57, 28]
Generated Node #0,0,0: 71:[57, 28] Operation: 95-67=28
Exploring Operation: 95-57=38, Resulting Numbers: [67, 38]
Generated Node #0,0,1: 71:[67, 38] Operation: 95-57=38
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[67, 38], Operations: ['99-32=67', '95-57=38']
Exploring Operation: 67+38=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,71 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 #0,0,0
Current State: 71:[57, 28], Operations: ['99-32=67', '95-67=28']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,71 unequal: No Solution
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,71 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: 71:[57, 99, 63], Operations: ['95-32=63']
Exploring Operation: 99-57=42, Resulting Numbers: [63, 42]
Generated Node #0,1,0: 71:[63, 42] Operation: 99-57=42
Exploring Operation: 99-63=36, Resulting Numbers: [57, 36]
Generated Node #0,1,1: 71:[57, 36] Operation: 99-63=36
Moving to Node #0,1,0
Current State: 71:[63, 42], Operations: ['95-32=63', '99-57=42']
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 63+42=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[57, 36], Operations: ['95-32=63', '99-63=36']
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,71 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
|
[
2,
17,
72,
62
] | 24
|
[
"2*17=34",
"72-62=10",
"34-10=24"
] |
Current State: 24:[2, 17, 72, 62], Operations: []
Exploring Operation: 2*17=34, Resulting Numbers: [72, 62, 34]
Generated Node #2: [72, 62, 34] from Operation: 2*17=34
Current State: 24:[72, 62, 34], Operations: ['2*17=34']
Exploring Operation: 72-62=10, Resulting Numbers: [34, 10]
Generated Node #3: [34, 10] from Operation: 72-62=10
Current State: 24:[34, 10], Operations: ['2*17=34', '72-62=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[2, 17, 72, 62], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [17, 72, 31]
Generated Node #0,0: 24:[17, 72, 31] Operation: 62/2=31
Exploring Operation: 72-62=10, Resulting Numbers: [2, 17, 10]
Generated Node #0,1: 24:[2, 17, 10] Operation: 72-62=10
Exploring Operation: 72/2=36, Resulting Numbers: [17, 62, 36]
Generated Node #0,2: 24:[17, 62, 36] Operation: 72/2=36
Exploring Operation: 72-17=55, Resulting Numbers: [2, 62, 55]
Generated Node #0,3: 24:[2, 62, 55] Operation: 72-17=55
Moving to Node #0,1
Current State: 24:[2, 17, 10], Operations: ['72-62=10']
Exploring Operation: 17-10=7, Resulting Numbers: [2, 7]
Generated Node #0,1,0: 24:[2, 7] Operation: 17-10=7
Exploring Operation: 17+10=27, Resulting Numbers: [2, 27]
Generated Node #0,1,1: 24:[2, 27] Operation: 17+10=27
Exploring Operation: 17-2=15, Resulting Numbers: [10, 15]
Generated Node #0,1,2: 24:[10, 15] Operation: 17-2=15
Exploring Operation: 2+10=12, Resulting Numbers: [17, 12]
Generated Node #0,1,3: 24:[17, 12] Operation: 2+10=12
Moving to Node #0,2
Current State: 24:[17, 62, 36], Operations: ['72/2=36']
Exploring Operation: 62-17=45, Resulting Numbers: [36, 45]
Generated Node #0,2,0: 24:[36, 45] Operation: 62-17=45
Exploring Operation: 17+62=79, Resulting Numbers: [36, 79]
Generated Node #0,2,1: 24:[36, 79] Operation: 17+62=79
Exploring Operation: 62-36=26, Resulting Numbers: [17, 26]
Generated Node #0,2,2: 24:[17, 26] Operation: 62-36=26
Exploring Operation: 36-17=19, Resulting Numbers: [62, 19]
Generated Node #0,2,3: 24:[62, 19] Operation: 36-17=19
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[17, 26], Operations: ['72/2=36', '62-36=26']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[36, 45], Operations: ['72/2=36', '62-17=45']
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,24 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[62, 19], Operations: ['72/2=36', '36-17=19']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,24 unequal: No Solution
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[36, 79], Operations: ['72/2=36', '17+62=79']
Exploring Operation: 36*79=2844, Resulting Numbers: [2844]
2844,24 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 36+79=115, Resulting Numbers: [115]
115,24 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: 24:[17, 72, 31], Operations: ['62/2=31']
Exploring Operation: 72-17=55, Resulting Numbers: [31, 55]
Generated Node #0,0,0: 24:[31, 55] Operation: 72-17=55
Exploring Operation: 31-17=14, Resulting Numbers: [72, 14]
Generated Node #0,0,1: 24:[72, 14] Operation: 31-17=14
Exploring Operation: 17+72=89, Resulting Numbers: [31, 89]
Generated Node #0,0,2: 24:[31, 89] Operation: 17+72=89
Exploring Operation: 72-31=41, Resulting Numbers: [17, 41]
Generated Node #0,0,3: 24:[17, 41] Operation: 72-31=41
Moving to Node #0,3
Current State: 24:[2, 62, 55], Operations: ['72-17=55']
Exploring Operation: 55-2=53, Resulting Numbers: [62, 53]
Generated Node #0,3,0: 24:[62, 53] Operation: 55-2=53
Exploring Operation: 62-2=60, Resulting Numbers: [55, 60]
Generated Node #0,3,1: 24:[55, 60] Operation: 62-2=60
Exploring Operation: 62-55=7, Resulting Numbers: [2, 7]
Generated Node #0,3,2: 24:[2, 7] Operation: 62-55=7
Exploring Operation: 62/2=31, Resulting Numbers: [55, 31]
Generated Node #0,3,3: 24:[55, 31] Operation: 62/2=31
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 24:[2, 7], Operations: ['72-17=55', '62-55=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 24:[55, 31], Operations: ['72-17=55', '62/2=31']
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,24 unequal: No Solution
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[2, 17, 72, 62], Operations: []
Exploring Operation: 72-17=55, Resulting Numbers: [2, 62, 55]
Generated Node #0,3: 24:[2, 62, 55] Operation: 72-17=55
Moving to Node #0,3
Current State: 24:[2, 62, 55], Operations: ['72-17=55']
Exploring Operation: 62/2=31, Resulting Numbers: [55, 31]
Generated Node #0,3,3: 24:[55, 31] Operation: 62/2=31
Moving to Node #0,3,3
Current State: 24:[55, 31], Operations: ['72-17=55', '62/2=31']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441
|
hs_4
|
sum_heuristic
|
[
23,
19,
94,
73
] | 63
|
[
"23+19=42",
"94-73=21",
"42+21=63"
] |
Current State: 63:[23, 19, 94, 73], Operations: []
Exploring Operation: 23+19=42, Resulting Numbers: [94, 73, 42]
Generated Node #2: [94, 73, 42] from Operation: 23+19=42
Current State: 63:[94, 73, 42], Operations: ['23+19=42']
Exploring Operation: 94-73=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 94-73=21
Current State: 63:[42, 21], Operations: ['23+19=42', '94-73=21']
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[23, 19, 94, 73], Operations: []
Exploring Operation: 94-19=75, Resulting Numbers: [23, 73, 75]
Generated Node #0,0: 63:[23, 73, 75] Operation: 94-19=75
Exploring Operation: 94-23=71, Resulting Numbers: [19, 73, 71]
Generated Node #0,1: 63:[19, 73, 71] Operation: 94-23=71
Exploring Operation: 23-19=4, Resulting Numbers: [94, 73, 4]
Generated Node #0,2: 63:[94, 73, 4] Operation: 23-19=4
Exploring Operation: 73-19=54, Resulting Numbers: [23, 94, 54]
Generated Node #0,3: 63:[23, 94, 54] Operation: 73-19=54
Exploring Operation: 94-73=21, Resulting Numbers: [23, 19, 21]
Generated Node #0,4: 63:[23, 19, 21] Operation: 94-73=21
Start Sub Search at level 1: Moving to Node #0,4
Current State: 63:[23, 19, 21], Operations: ['94-73=21']
Exploring Operation: 23-21=2, Resulting Numbers: [19, 2]
Generated Node #0,4,0: 63:[19, 2] Operation: 23-21=2
Exploring Operation: 23+19=42, Resulting Numbers: [21, 42]
Generated Node #0,4,1: 63:[21, 42] Operation: 23+19=42
Exploring Operation: 23+21=44, Resulting Numbers: [19, 44]
Generated Node #0,4,2: 63:[19, 44] Operation: 23+21=44
Exploring Operation: 21-19=2, Resulting Numbers: [23, 2]
Generated Node #0,4,3: 63:[23, 2] Operation: 21-19=2
Exploring Operation: 23-19=4, Resulting Numbers: [21, 4]
Generated Node #0,4,4: 63:[21, 4] Operation: 23-19=4
Moving to Node #0,4,4
Current State: 63:[21, 4], Operations: ['94-73=21', '23-19=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,63 unequal: No Solution
Moving to Node #0,4,3
Current State: 63:[23, 2], Operations: ['94-73=21', '21-19=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,63 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Moving to Node #0,4,0
Current State: 63:[19, 2], Operations: ['94-73=21', '23-21=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Moving to Node #0,4,1
Current State: 63:[21, 42], Operations: ['94-73=21', '23+19=42']
Exploring Operation: 21*42=882, Resulting Numbers: [882]
882,63 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[23, 19, 94, 73], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [23, 19, 21]
Generated Node #0,4: 63:[23, 19, 21] Operation: 94-73=21
Moving to Node #0,4
Current State: 63:[23, 19, 21], Operations: ['94-73=21']
Exploring Operation: 23+19=42, Resulting Numbers: [21, 42]
Generated Node #0,4,1: 63:[21, 42] Operation: 23+19=42
Moving to Node #0,4,1
Current State: 63:[21, 42], Operations: ['94-73=21', '23+19=42']
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563
|
hs_5
|
sum_heuristic
|
[
59,
89,
56,
15
] | 84
|
[
"59-56=3",
"15/3=5",
"89-5=84"
] |
Current State: 84:[59, 89, 56, 15], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [89, 15, 3]
Generated Node #2: [89, 15, 3] from Operation: 59-56=3
Current State: 84:[89, 15, 3], Operations: ['59-56=3']
Exploring Operation: 15/3=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 15/3=5
Current State: 84:[89, 5], Operations: ['59-56=3', '15/3=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
Current State: 84:[59, 89, 56, 15], Operations: []
Exploring Operation: 89-59=30, Resulting Numbers: [56, 15, 30]
Generated Node #0,0: 84:[56, 15, 30] Operation: 89-59=30
Exploring Operation: 59-56=3, Resulting Numbers: [89, 15, 3]
Generated Node #0,1: 84:[89, 15, 3] Operation: 59-56=3
Exploring Operation: 59-15=44, Resulting Numbers: [89, 56, 44]
Generated Node #0,2: 84:[89, 56, 44] Operation: 59-15=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[89, 15, 3], Operations: ['59-56=3']
Exploring Operation: 89-3=86, Resulting Numbers: [15, 86]
Generated Node #0,1,0: 84:[15, 86] Operation: 89-3=86
Exploring Operation: 15-3=12, Resulting Numbers: [89, 12]
Generated Node #0,1,1: 84:[89, 12] Operation: 15-3=12
Exploring Operation: 15/3=5, Resulting Numbers: [89, 5]
Generated Node #0,1,2: 84:[89, 5] Operation: 15/3=5
Moving to Node #0,1,0
Current State: 84:[15, 86], Operations: ['59-56=3', '89-3=86']
Exploring Operation: 15*86=1290, Resulting Numbers: [1290]
1290,84 unequal: No Solution
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,84 unequal: No Solution
Exploring Operation: 15+86=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[89, 12], Operations: ['59-56=3', '15-3=12']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 89*12=1068, Resulting Numbers: [1068]
1068,84 unequal: No Solution
Exploring Operation: 89+12=101, Resulting Numbers: [101]
101,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[89, 5], Operations: ['59-56=3', '15/3=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[59, 89, 56, 15], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [89, 15, 3]
Generated Node #0,1: 84:[89, 15, 3] Operation: 59-56=3
Moving to Node #0,1
Current State: 84:[89, 15, 3], Operations: ['59-56=3']
Exploring Operation: 15/3=5, Resulting Numbers: [89, 5]
Generated Node #0,1,2: 84:[89, 5] Operation: 15/3=5
Moving to Node #0,1,2
Current State: 84:[89, 5], Operations: ['59-56=3', '15/3=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_3
|
sum_heuristic
|
[
7,
99,
26,
69
] | 72
|
[
"7+26=33",
"99/33=3",
"69+3=72"
] |
Current State: 72:[7, 99, 26, 69], Operations: []
Exploring Operation: 7+26=33, Resulting Numbers: [99, 69, 33]
Generated Node #2: [99, 69, 33] from Operation: 7+26=33
Current State: 72:[99, 69, 33], Operations: ['7+26=33']
Exploring Operation: 99/33=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 99/33=3
Current State: 72:[69, 3], Operations: ['7+26=33', '99/33=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
Current State: 72:[7, 99, 26, 69], Operations: []
Exploring Operation: 99-69=30, Resulting Numbers: [7, 26, 30]
Generated Node #0,0: 72:[7, 26, 30] Operation: 99-69=30
Exploring Operation: 99-26=73, Resulting Numbers: [7, 69, 73]
Generated Node #0,1: 72:[7, 69, 73] Operation: 99-26=73
Moving to Node #0,1
Current State: 72:[7, 69, 73], Operations: ['99-26=73']
Exploring Operation: 73-69=4, Resulting Numbers: [7, 4]
Generated Node #0,1,0: 72:[7, 4] Operation: 73-69=4
Exploring Operation: 7+69=76, Resulting Numbers: [73, 76]
Generated Node #0,1,1: 72:[73, 76] Operation: 7+69=76
Moving to Node #0,0
Current State: 72:[7, 26, 30], Operations: ['99-69=30']
Exploring Operation: 7+30=37, Resulting Numbers: [26, 37]
Generated Node #0,0,0: 72:[26, 37] Operation: 7+30=37
Exploring Operation: 30-26=4, Resulting Numbers: [7, 4]
Generated Node #0,0,1: 72:[7, 4] Operation: 30-26=4
Moving to Node #0,1,0
Current State: 72:[7, 4], Operations: ['99-26=73', '73-69=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[7, 4], Operations: ['99-69=30', '30-26=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[26, 37], Operations: ['99-69=30', '7+30=37']
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 26+37=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[73, 76], Operations: ['99-26=73', '7+69=76']
Exploring Operation: 73+76=149, Resulting Numbers: [149]
149,72 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,72 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
42,
66,
44,
20
] | 11
|
[
"66-42=24",
"24-20=4",
"44/4=11"
] |
Current State: 11:[42, 66, 44, 20], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [44, 20, 24]
Generated Node #2: [44, 20, 24] from Operation: 66-42=24
Current State: 11:[44, 20, 24], Operations: ['66-42=24']
Exploring Operation: 24-20=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 24-20=4
Current State: 11:[44, 4], Operations: ['66-42=24', '24-20=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[42, 66, 44, 20], Operations: []
Exploring Operation: 66-44=22, Resulting Numbers: [42, 20, 22]
Generated Node #0,0: 11:[42, 20, 22] Operation: 66-44=22
Exploring Operation: 66-42=24, Resulting Numbers: [44, 20, 24]
Generated Node #0,1: 11:[44, 20, 24] Operation: 66-42=24
Moving to Node #0,0
Current State: 11:[42, 20, 22], Operations: ['66-44=22']
Exploring Operation: 42-20=22, Resulting Numbers: [22, 22]
Generated Node #0,0,0: 11:[22, 22] Operation: 42-20=22
Exploring Operation: 42-22=20, Resulting Numbers: [20, 20]
Generated Node #0,0,1: 11:[20, 20] Operation: 42-22=20
Moving to Node #0,1
Current State: 11:[44, 20, 24], Operations: ['66-42=24']
Exploring Operation: 44-24=20, Resulting Numbers: [20, 20]
Generated Node #0,1,0: 11:[20, 20] Operation: 44-24=20
Exploring Operation: 44-20=24, Resulting Numbers: [24, 24]
Generated Node #0,1,1: 11:[24, 24] Operation: 44-20=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[20, 20], Operations: ['66-42=24', '44-24=20']
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[24, 24], Operations: ['66-42=24', '44-20=24']
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,11 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: 11:[20, 20], Operations: ['66-44=22', '42-22=20']
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[22, 22], Operations: ['66-44=22', '42-20=22']
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,11 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
15,
31,
30,
3
] | 91
|
[
"30/15=2",
"31*3=93",
"93-2=91"
] |
Current State: 91:[15, 31, 30, 3], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [31, 3, 2]
Generated Node #2: [31, 3, 2] from Operation: 30/15=2
Current State: 91:[31, 3, 2], Operations: ['30/15=2']
Exploring Operation: 31*3=93, Resulting Numbers: [2, 93]
Generated Node #3: [2, 93] from Operation: 31*3=93
Current State: 91:[2, 93], Operations: ['30/15=2', '31*3=93']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
Current State: 91:[15, 31, 30, 3], Operations: []
Exploring Operation: 31-30=1, Resulting Numbers: [15, 3, 1]
Generated Node #0,0: 91:[15, 3, 1] Operation: 31-30=1
Exploring Operation: 31*3=93, Resulting Numbers: [15, 30, 93]
Generated Node #0,1: 91:[15, 30, 93] Operation: 31*3=93
Exploring Operation: 30/3=10, Resulting Numbers: [15, 31, 10]
Generated Node #0,2: 91:[15, 31, 10] Operation: 30/3=10
Exploring Operation: 30*3=90, Resulting Numbers: [15, 31, 90]
Generated Node #0,3: 91:[15, 31, 90] Operation: 30*3=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[15, 3, 1], Operations: ['31-30=1']
Exploring Operation: 15/1=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 91:[3, 15] Operation: 15/1=15
Exploring Operation: 15*1=15, Resulting Numbers: [3, 15]
Generated Node #0,0,1: 91:[3, 15] Operation: 15*1=15
Exploring Operation: 3+1=4, Resulting Numbers: [15, 4]
Generated Node #0,0,2: 91:[15, 4] Operation: 3+1=4
Exploring Operation: 15-1=14, Resulting Numbers: [3, 14]
Generated Node #0,0,3: 91:[3, 14] Operation: 15-1=14
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 91:[15, 4], Operations: ['31-30=1', '3+1=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 91:[3, 14], Operations: ['31-30=1', '15-1=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,91 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[3, 15], Operations: ['31-30=1', '15/1=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[3, 15], Operations: ['31-30=1', '15*1=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,91 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: 91:[15, 30, 93], Operations: ['31*3=93']
Exploring Operation: 30/15=2, Resulting Numbers: [93, 2]
Generated Node #0,1,0: 91:[93, 2] Operation: 30/15=2
Exploring Operation: 93-15=78, Resulting Numbers: [30, 78]
Generated Node #0,1,1: 91:[30, 78] Operation: 93-15=78
Exploring Operation: 93-30=63, Resulting Numbers: [15, 63]
Generated Node #0,1,2: 91:[15, 63] Operation: 93-30=63
Exploring Operation: 30-15=15, Resulting Numbers: [93, 15]
Generated Node #0,1,3: 91:[93, 15] Operation: 30-15=15
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 91:[93, 15], Operations: ['31*3=93', '30-15=15']
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,91 unequal: No Solution
Exploring Operation: 93+15=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Exploring Operation: 93*15=1395, Resulting Numbers: [1395]
1395,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[93, 2], Operations: ['31*3=93', '30/15=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[15, 31, 30, 3], Operations: []
Exploring Operation: 31*3=93, Resulting Numbers: [15, 30, 93]
Generated Node #0,1: 91:[15, 30, 93] Operation: 31*3=93
Moving to Node #0,1
Current State: 91:[15, 30, 93], Operations: ['31*3=93']
Exploring Operation: 30/15=2, Resulting Numbers: [93, 2]
Generated Node #0,1,0: 91:[93, 2] Operation: 30/15=2
Moving to Node #0,1,0
Current State: 91:[93, 2], Operations: ['31*3=93', '30/15=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618
|
hs_4
|
mult_heuristic
|
[
76,
90,
56,
3
] | 67
|
[
"90-76=14",
"56-3=53",
"14+53=67"
] |
Current State: 67:[76, 90, 56, 3], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [56, 3, 14]
Generated Node #2: [56, 3, 14] from Operation: 90-76=14
Current State: 67:[56, 3, 14], Operations: ['90-76=14']
Exploring Operation: 56-3=53, Resulting Numbers: [14, 53]
Generated Node #3: [14, 53] from Operation: 56-3=53
Current State: 67:[14, 53], Operations: ['90-76=14', '56-3=53']
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[76, 90, 56, 3], Operations: []
Exploring Operation: 76-3=73, Resulting Numbers: [90, 56, 73]
Generated Node #0,0: 67:[90, 56, 73] Operation: 76-3=73
Exploring Operation: 90-3=87, Resulting Numbers: [76, 56, 87]
Generated Node #0,1: 67:[76, 56, 87] Operation: 90-3=87
Moving to Node #0,0
Current State: 67:[90, 56, 73], Operations: ['76-3=73']
Exploring Operation: 90-56=34, Resulting Numbers: [73, 34]
Generated Node #0,0,0: 67:[73, 34] Operation: 90-56=34
Exploring Operation: 90-73=17, Resulting Numbers: [56, 17]
Generated Node #0,0,1: 67:[56, 17] Operation: 90-73=17
Moving to Node #0,1
Current State: 67:[76, 56, 87], Operations: ['90-3=87']
Exploring Operation: 76-56=20, Resulting Numbers: [87, 20]
Generated Node #0,1,0: 67:[87, 20] Operation: 76-56=20
Exploring Operation: 87-56=31, Resulting Numbers: [76, 31]
Generated Node #0,1,1: 67:[76, 31] Operation: 87-56=31
Moving to Node #0,0,0
Current State: 67:[73, 34], Operations: ['76-3=73', '90-56=34']
Exploring Operation: 73+34=107, Resulting Numbers: [107]
107,67 unequal: No Solution
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[76, 31], Operations: ['90-3=87', '87-56=31']
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,67 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[56, 17], Operations: ['76-3=73', '90-73=17']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[87, 20], Operations: ['90-3=87', '76-56=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[76, 90, 56, 3], Operations: []
Exploring Operation: 90-3=87, Resulting Numbers: [76, 56, 87]
Generated Node #0,1: 67:[76, 56, 87] Operation: 90-3=87
Moving to Node #0,1
Current State: 67:[76, 56, 87], Operations: ['90-3=87']
Exploring Operation: 76-56=20, Resulting Numbers: [87, 20]
Generated Node #0,1,0: 67:[87, 20] Operation: 76-56=20
Moving to Node #0,1,0
Current State: 67:[87, 20], Operations: ['90-3=87', '76-56=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 0.985243
|
hs_2
|
mult_heuristic
|
[
72,
28,
71,
3
] | 83
|
[
"72-71=1",
"28*3=84",
"84-1=83"
] |
Current State: 83:[72, 28, 71, 3], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [28, 3, 1]
Generated Node #2: [28, 3, 1] from Operation: 72-71=1
Current State: 83:[28, 3, 1], Operations: ['72-71=1']
Exploring Operation: 28*3=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 28*3=84
Current State: 83:[1, 84], Operations: ['72-71=1', '28*3=84']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[72, 28, 71, 3], Operations: []
Exploring Operation: 28*3=84, Resulting Numbers: [72, 71, 84]
Generated Node #0,0: 83:[72, 71, 84] Operation: 28*3=84
Exploring Operation: 28+3=31, Resulting Numbers: [72, 71, 31]
Generated Node #0,1: 83:[72, 71, 31] Operation: 28+3=31
Exploring Operation: 72+3=75, Resulting Numbers: [28, 71, 75]
Generated Node #0,2: 83:[28, 71, 75] Operation: 72+3=75
Moving to Node #0,0
Current State: 83:[72, 71, 84], Operations: ['28*3=84']
Exploring Operation: 72-71=1, Resulting Numbers: [84, 1]
Generated Node #0,0,0: 83:[84, 1] Operation: 72-71=1
Exploring Operation: 84-71=13, Resulting Numbers: [72, 13]
Generated Node #0,0,1: 83:[72, 13] Operation: 84-71=13
Exploring Operation: 72+71=143, Resulting Numbers: [84, 143]
Generated Node #0,0,2: 83:[84, 143] Operation: 72+71=143
Moving to Node #0,1
Current State: 83:[72, 71, 31], Operations: ['28+3=31']
Exploring Operation: 72-31=41, Resulting Numbers: [71, 41]
Generated Node #0,1,0: 83:[71, 41] Operation: 72-31=41
Exploring Operation: 71+31=102, Resulting Numbers: [72, 102]
Generated Node #0,1,1: 83:[72, 102] Operation: 71+31=102
Exploring Operation: 72+31=103, Resulting Numbers: [71, 103]
Generated Node #0,1,2: 83:[71, 103] Operation: 72+31=103
Moving to Node #0,2
Current State: 83:[28, 71, 75], Operations: ['72+3=75']
Exploring Operation: 71-28=43, Resulting Numbers: [75, 43]
Generated Node #0,2,0: 83:[75, 43] Operation: 71-28=43
Exploring Operation: 28+75=103, Resulting Numbers: [71, 103]
Generated Node #0,2,1: 83:[71, 103] Operation: 28+75=103
Exploring Operation: 28+71=99, Resulting Numbers: [75, 99]
Generated Node #0,2,2: 83:[75, 99] Operation: 28+71=99
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[75, 99], Operations: ['72+3=75', '28+71=99']
Exploring Operation: 75*99=7425, Resulting Numbers: [7425]
7425,83 unequal: No Solution
Exploring Operation: 75+99=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 99-75=24, Resulting Numbers: [24]
24,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[71, 103], Operations: ['72+3=75', '28+75=103']
Exploring Operation: 71*103=7313, Resulting Numbers: [7313]
7313,83 unequal: No Solution
Exploring Operation: 71+103=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 103-71=32, Resulting Numbers: [32]
32,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[75, 43], Operations: ['72+3=75', '71-28=43']
Exploring Operation: 75*43=3225, Resulting Numbers: [3225]
3225,83 unequal: No Solution
Exploring Operation: 75+43=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,83 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: 83:[72, 102], Operations: ['28+3=31', '71+31=102']
Exploring Operation: 72*102=7344, Resulting Numbers: [7344]
7344,83 unequal: No Solution
Exploring Operation: 102-72=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 72+102=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[71, 103], Operations: ['28+3=31', '72+31=103']
Exploring Operation: 71+103=174, Resulting Numbers: [174]
174,83 unequal: No Solution
Exploring Operation: 103-71=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 71*103=7313, Resulting Numbers: [7313]
7313,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[71, 41], Operations: ['28+3=31', '72-31=41']
Exploring Operation: 71*41=2911, Resulting Numbers: [2911]
2911,83 unequal: No Solution
Exploring Operation: 71-41=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 71+41=112, Resulting Numbers: [112]
112,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[84, 143], Operations: ['28*3=84', '72+71=143']
Exploring Operation: 84*143=12012, Resulting Numbers: [12012]
12012,83 unequal: No Solution
Exploring Operation: 143-84=59, Resulting Numbers: [59]
59,83 unequal: No Solution
Exploring Operation: 84+143=227, Resulting Numbers: [227]
227,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[72, 13], Operations: ['28*3=84', '84-71=13']
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,83 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,83 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[84, 1], Operations: ['28*3=84', '72-71=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[72, 28, 71, 3], Operations: []
Exploring Operation: 28*3=84, Resulting Numbers: [72, 71, 84]
Generated Node #0,0: 83:[72, 71, 84] Operation: 28*3=84
Moving to Node #0,0
Current State: 83:[72, 71, 84], Operations: ['28*3=84']
Exploring Operation: 72-71=1, Resulting Numbers: [84, 1]
Generated Node #0,0,0: 83:[84, 1] Operation: 72-71=1
Moving to Node #0,0,0
Current State: 83:[84, 1], Operations: ['28*3=84', '72-71=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.96441
|
hs_3
|
mult_heuristic
|
[
36,
96,
81,
71
] | 92
|
[
"96-36=60",
"81+71=152",
"152-60=92"
] |
Current State: 92:[36, 96, 81, 71], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [81, 71, 60]
Generated Node #2: [81, 71, 60] from Operation: 96-36=60
Current State: 92:[81, 71, 60], Operations: ['96-36=60']
Exploring Operation: 81+71=152, Resulting Numbers: [60, 152]
Generated Node #3: [60, 152] from Operation: 81+71=152
Current State: 92:[60, 152], Operations: ['96-36=60', '81+71=152']
Exploring Operation: 152-60=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[36, 96, 81, 71], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [96, 71, 45]
Generated Node #0,0: 92:[96, 71, 45] Operation: 81-36=45
Exploring Operation: 96-71=25, Resulting Numbers: [36, 81, 25]
Generated Node #0,1: 92:[36, 81, 25] Operation: 96-71=25
Exploring Operation: 81-71=10, Resulting Numbers: [36, 96, 10]
Generated Node #0,2: 92:[36, 96, 10] Operation: 81-71=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[36, 96, 10], Operations: ['81-71=10']
Exploring Operation: 36+10=46, Resulting Numbers: [96, 46]
Generated Node #0,2,0: 92:[96, 46] Operation: 36+10=46
Exploring Operation: 96-10=86, Resulting Numbers: [36, 86]
Generated Node #0,2,1: 92:[36, 86] Operation: 96-10=86
Exploring Operation: 36-10=26, Resulting Numbers: [96, 26]
Generated Node #0,2,2: 92:[96, 26] Operation: 36-10=26
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[96, 46], Operations: ['81-71=10', '36+10=46']
Exploring Operation: 96-46=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 96*46=4416, Resulting Numbers: [4416]
4416,92 unequal: No Solution
Exploring Operation: 96+46=142, Resulting Numbers: [142]
142,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[96, 26], Operations: ['81-71=10', '36-10=26']
Exploring Operation: 96*26=2496, Resulting Numbers: [2496]
2496,92 unequal: No Solution
Exploring Operation: 96+26=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 96-26=70, Resulting Numbers: [70]
70,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[36, 86], Operations: ['81-71=10', '96-10=86']
Exploring Operation: 36*86=3096, Resulting Numbers: [3096]
3096,92 unequal: No Solution
Exploring Operation: 36+86=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[36, 81, 25], Operations: ['96-71=25']
Exploring Operation: 36-25=11, Resulting Numbers: [81, 11]
Generated Node #0,1,0: 92:[81, 11] Operation: 36-25=11
Exploring Operation: 81-36=45, Resulting Numbers: [25, 45]
Generated Node #0,1,1: 92:[25, 45] Operation: 81-36=45
Exploring Operation: 81-25=56, Resulting Numbers: [36, 56]
Generated Node #0,1,2: 92:[36, 56] Operation: 81-25=56
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[25, 45], Operations: ['96-71=25', '81-36=45']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,92 unequal: No Solution
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[81, 11], Operations: ['96-71=25', '36-25=11']
Exploring Operation: 81+11=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[36, 96, 81, 71], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [36, 81, 25]
Generated Node #0,1: 92:[36, 81, 25] Operation: 96-71=25
Moving to Node #0,1
Current State: 92:[36, 81, 25], Operations: ['96-71=25']
Exploring Operation: 36-25=11, Resulting Numbers: [81, 11]
Generated Node #0,1,0: 92:[81, 11] Operation: 36-25=11
Moving to Node #0,1,0
Current State: 92:[81, 11], Operations: ['96-71=25', '36-25=11']
Exploring Operation: 81+11=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.977431
|
hs_3
|
sum_heuristic
|
[
57,
19,
38,
53
] | 56
|
[
"38-19=19",
"57/19=3",
"53+3=56"
] |
Current State: 56:[57, 19, 38, 53], Operations: []
Exploring Operation: 38-19=19, Resulting Numbers: [57, 53, 19]
Generated Node #2: [57, 53, 19] from Operation: 38-19=19
Current State: 56:[57, 53, 19], Operations: ['38-19=19']
Exploring Operation: 57/19=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 57/19=3
Current State: 56:[53, 3], Operations: ['38-19=19', '57/19=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[57, 19, 38, 53], Operations: []
Exploring Operation: 19+38=57, Resulting Numbers: [57, 53, 57]
Generated Node #0,0: 56:[57, 53, 57] Operation: 19+38=57
Exploring Operation: 38-19=19, Resulting Numbers: [57, 53, 19]
Generated Node #0,1: 56:[57, 53, 19] Operation: 38-19=19
Exploring Operation: 38/19=2, Resulting Numbers: [57, 53, 2]
Generated Node #0,2: 56:[57, 53, 2] Operation: 38/19=2
Exploring Operation: 53-38=15, Resulting Numbers: [57, 19, 15]
Generated Node #0,3: 56:[57, 19, 15] Operation: 53-38=15
Moving to Node #0,2
Current State: 56:[57, 53, 2], Operations: ['38/19=2']
Exploring Operation: 53+2=55, Resulting Numbers: [57, 55]
Generated Node #0,2,0: 56:[57, 55] Operation: 53+2=55
Exploring Operation: 57-2=55, Resulting Numbers: [53, 55]
Generated Node #0,2,1: 56:[53, 55] Operation: 57-2=55
Exploring Operation: 57+2=59, Resulting Numbers: [53, 59]
Generated Node #0,2,2: 56:[53, 59] Operation: 57+2=59
Exploring Operation: 57-53=4, Resulting Numbers: [2, 4]
Generated Node #0,2,3: 56:[2, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 56:[57, 53, 57], Operations: ['19+38=57']
Exploring Operation: 57-53=4, Resulting Numbers: [57, 4]
Generated Node #0,0,0: 56:[57, 4] Operation: 57-53=4
Exploring Operation: 57-57=0, Resulting Numbers: [53, 0]
Generated Node #0,0,1: 56:[53, 0] Operation: 57-57=0
Exploring Operation: 57-53=4, Resulting Numbers: [57, 4]
Generated Node #0,0,2: 56:[57, 4] Operation: 57-53=4
Exploring Operation: 57/57=1, Resulting Numbers: [53, 1]
Generated Node #0,0,3: 56:[53, 1] Operation: 57/57=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[57, 4], Operations: ['19+38=57', '57-53=4']
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,56 unequal: No Solution
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[57, 4], Operations: ['19+38=57', '57-53=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,56 unequal: No Solution
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[53, 1], Operations: ['19+38=57', '57/57=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[53, 0], Operations: ['19+38=57', '57-57=0']
Exploring Operation: 53-0=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 53*0=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 53+0=53, Resulting Numbers: [53]
53,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 56:[57, 19, 15], Operations: ['53-38=15']
Exploring Operation: 57-19=38, Resulting Numbers: [15, 38]
Generated Node #0,3,0: 56:[15, 38] Operation: 57-19=38
Exploring Operation: 19+15=34, Resulting Numbers: [57, 34]
Generated Node #0,3,1: 56:[57, 34] Operation: 19+15=34
Exploring Operation: 57/19=3, Resulting Numbers: [15, 3]
Generated Node #0,3,2: 56:[15, 3] Operation: 57/19=3
Exploring Operation: 19-15=4, Resulting Numbers: [57, 4]
Generated Node #0,3,3: 56:[57, 4] Operation: 19-15=4
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 56:[57, 4], Operations: ['53-38=15', '19-15=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 56:[15, 3], Operations: ['53-38=15', '57/19=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,56 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[57, 34], Operations: ['53-38=15', '19+15=34']
Exploring Operation: 57+34=91, Resulting Numbers: [91]
91,56 unequal: No Solution
Exploring Operation: 57*34=1938, Resulting Numbers: [1938]
1938,56 unequal: No Solution
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 56:[15, 38], Operations: ['53-38=15', '57-19=38']
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,56 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: 56:[57, 53, 19], Operations: ['38-19=19']
Exploring Operation: 57/19=3, Resulting Numbers: [53, 3]
Generated Node #0,1,0: 56:[53, 3] Operation: 57/19=3
Exploring Operation: 53-19=34, Resulting Numbers: [57, 34]
Generated Node #0,1,1: 56:[57, 34] Operation: 53-19=34
Exploring Operation: 57-53=4, Resulting Numbers: [19, 4]
Generated Node #0,1,2: 56:[19, 4] Operation: 57-53=4
Exploring Operation: 57-19=38, Resulting Numbers: [53, 38]
Generated Node #0,1,3: 56:[53, 38] Operation: 57-19=38
Moving to Node #0,2,3
Current State: 56:[2, 4], Operations: ['38/19=2', '57-53=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[57, 55], Operations: ['38/19=2', '53+2=55']
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,56 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,56 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[53, 55], Operations: ['38/19=2', '57-2=55']
Exploring Operation: 53*55=2915, Resulting Numbers: [2915]
2915,56 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 53+55=108, Resulting Numbers: [108]
108,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[53, 3], Operations: ['38-19=19', '57/19=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[57, 19, 38, 53], Operations: []
Exploring Operation: 38-19=19, Resulting Numbers: [57, 53, 19]
Generated Node #0,1: 56:[57, 53, 19] Operation: 38-19=19
Moving to Node #0,1
Current State: 56:[57, 53, 19], Operations: ['38-19=19']
Exploring Operation: 57/19=3, Resulting Numbers: [53, 3]
Generated Node #0,1,0: 56:[53, 3] Operation: 57/19=3
Moving to Node #0,1,0
Current State: 56:[53, 3], Operations: ['38-19=19', '57/19=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.947049
|
hs_4
|
sum_heuristic
|
[
84,
24,
69,
26
] | 13
|
[
"84+24=108",
"69+26=95",
"108-95=13"
] |
Current State: 13:[84, 24, 69, 26], Operations: []
Exploring Operation: 84+24=108, Resulting Numbers: [69, 26, 108]
Generated Node #2: [69, 26, 108] from Operation: 84+24=108
Current State: 13:[69, 26, 108], Operations: ['84+24=108']
Exploring Operation: 69+26=95, Resulting Numbers: [108, 95]
Generated Node #3: [108, 95] from Operation: 69+26=95
Current State: 13:[108, 95], Operations: ['84+24=108', '69+26=95']
Exploring Operation: 108-95=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[84, 24, 69, 26], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [24, 69, 58]
Generated Node #0,0: 13:[24, 69, 58] Operation: 84-26=58
Exploring Operation: 84-69=15, Resulting Numbers: [24, 26, 15]
Generated Node #0,1: 13:[24, 26, 15] Operation: 84-69=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[24, 26, 15], Operations: ['84-69=15']
Exploring Operation: 26-15=11, Resulting Numbers: [24, 11]
Generated Node #0,1,0: 13:[24, 11] Operation: 26-15=11
Exploring Operation: 26-24=2, Resulting Numbers: [15, 2]
Generated Node #0,1,1: 13:[15, 2] Operation: 26-24=2
Moving to Node #0,1,0
Current State: 13:[24, 11], Operations: ['84-69=15', '26-15=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[84, 24, 69, 26], Operations: []
Exploring Operation: 84-69=15, Resulting Numbers: [24, 26, 15]
Generated Node #0,1: 13:[24, 26, 15] Operation: 84-69=15
Moving to Node #0,1
Current State: 13:[24, 26, 15], Operations: ['84-69=15']
Exploring Operation: 26-15=11, Resulting Numbers: [24, 11]
Generated Node #0,1,0: 13:[24, 11] Operation: 26-15=11
Moving to Node #0,1,0
Current State: 13:[24, 11], Operations: ['84-69=15', '26-15=11']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
sum_heuristic
|
[
71,
71,
5,
67
] | 70
|
[
"71+71=142",
"5+67=72",
"142-72=70"
] |
Current State: 70:[71, 71, 5, 67], Operations: []
Exploring Operation: 71+71=142, Resulting Numbers: [5, 67, 142]
Generated Node #2: [5, 67, 142] from Operation: 71+71=142
Current State: 70:[5, 67, 142], Operations: ['71+71=142']
Exploring Operation: 5+67=72, Resulting Numbers: [142, 72]
Generated Node #3: [142, 72] from Operation: 5+67=72
Current State: 70:[142, 72], Operations: ['71+71=142', '5+67=72']
Exploring Operation: 142-72=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[71, 71, 5, 67], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [71, 5, 4]
Generated Node #0,0: 70:[71, 5, 4] Operation: 71-67=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[71, 5, 4], Operations: ['71-67=4']
Exploring Operation: 5+4=9, Resulting Numbers: [71, 9]
Generated Node #0,0,0: 70:[71, 9] Operation: 5+4=9
Moving to Node #0,0,0
Current State: 70:[71, 9], Operations: ['71-67=4', '5+4=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,70 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
|
[
72,
78,
33,
80
] | 37
|
[
"72+78=150",
"33+80=113",
"150-113=37"
] |
Current State: 37:[72, 78, 33, 80], Operations: []
Exploring Operation: 72+78=150, Resulting Numbers: [33, 80, 150]
Generated Node #2: [33, 80, 150] from Operation: 72+78=150
Current State: 37:[33, 80, 150], Operations: ['72+78=150']
Exploring Operation: 33+80=113, Resulting Numbers: [150, 113]
Generated Node #3: [150, 113] from Operation: 33+80=113
Current State: 37:[150, 113], Operations: ['72+78=150', '33+80=113']
Exploring Operation: 150-113=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[72, 78, 33, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [72, 33, 2]
Generated Node #0,0: 37:[72, 33, 2] Operation: 80-78=2
Exploring Operation: 80-72=8, Resulting Numbers: [78, 33, 8]
Generated Node #0,1: 37:[78, 33, 8] Operation: 80-72=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[72, 33, 2], Operations: ['80-78=2']
Exploring Operation: 72-33=39, Resulting Numbers: [2, 39]
Generated Node #0,0,0: 37:[2, 39] Operation: 72-33=39
Exploring Operation: 72/2=36, Resulting Numbers: [33, 36]
Generated Node #0,0,1: 37:[33, 36] Operation: 72/2=36
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[33, 36], Operations: ['80-78=2', '72/2=36']
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,37 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 #0,0,0
Current State: 37:[2, 39], Operations: ['80-78=2', '72-33=39']
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,37 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[72, 78, 33, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [72, 33, 2]
Generated Node #0,0: 37:[72, 33, 2] Operation: 80-78=2
Moving to Node #0,0
Current State: 37:[72, 33, 2], Operations: ['80-78=2']
Exploring Operation: 72-33=39, Resulting Numbers: [2, 39]
Generated Node #0,0,0: 37:[2, 39] Operation: 72-33=39
Moving to Node #0,0,0
Current State: 37:[2, 39], Operations: ['80-78=2', '72-33=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
sum_heuristic
|
[
40,
4,
67,
2
] | 21
|
[
"40+4=44",
"67-2=65",
"65-44=21"
] |
Current State: 21:[40, 4, 67, 2], Operations: []
Exploring Operation: 40+4=44, Resulting Numbers: [67, 2, 44]
Generated Node #2: [67, 2, 44] from Operation: 40+4=44
Current State: 21:[67, 2, 44], Operations: ['40+4=44']
Exploring Operation: 67-2=65, Resulting Numbers: [44, 65]
Generated Node #3: [44, 65] from Operation: 67-2=65
Current State: 21:[44, 65], Operations: ['40+4=44', '67-2=65']
Exploring Operation: 65-44=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
Current State: 21:[40, 4, 67, 2], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [4, 2, 27]
Generated Node #0,0: 21:[4, 2, 27] Operation: 67-40=27
Exploring Operation: 40/2=20, Resulting Numbers: [4, 67, 20]
Generated Node #0,1: 21:[4, 67, 20] Operation: 40/2=20
Exploring Operation: 40/4=10, Resulting Numbers: [67, 2, 10]
Generated Node #0,2: 21:[67, 2, 10] Operation: 40/4=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[4, 2, 27], Operations: ['67-40=27']
Exploring Operation: 27-2=25, Resulting Numbers: [4, 25]
Generated Node #0,0,0: 21:[4, 25] Operation: 27-2=25
Exploring Operation: 27-4=23, Resulting Numbers: [2, 23]
Generated Node #0,0,1: 21:[2, 23] Operation: 27-4=23
Exploring Operation: 4+2=6, Resulting Numbers: [27, 6]
Generated Node #0,0,2: 21:[27, 6] Operation: 4+2=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[2, 23], Operations: ['67-40=27', '27-4=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[40, 4, 67, 2], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [4, 2, 27]
Generated Node #0,0: 21:[4, 2, 27] Operation: 67-40=27
Moving to Node #0,0
Current State: 21:[4, 2, 27], Operations: ['67-40=27']
Exploring Operation: 27-4=23, Resulting Numbers: [2, 23]
Generated Node #0,0,1: 21:[2, 23] Operation: 27-4=23
Moving to Node #0,0,1
Current State: 21:[2, 23], Operations: ['67-40=27', '27-4=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
mult_heuristic
|
[
90,
19,
62,
83
] | 75
|
[
"90+62=152",
"152/19=8",
"83-8=75"
] |
Current State: 75:[90, 19, 62, 83], Operations: []
Exploring Operation: 90+62=152, Resulting Numbers: [19, 83, 152]
Generated Node #2: [19, 83, 152] from Operation: 90+62=152
Current State: 75:[19, 83, 152], Operations: ['90+62=152']
Exploring Operation: 152/19=8, Resulting Numbers: [83, 8]
Generated Node #3: [83, 8] from Operation: 152/19=8
Current State: 75:[83, 8], Operations: ['90+62=152', '152/19=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[90, 19, 62, 83], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [19, 62, 7]
Generated Node #0,0: 75:[19, 62, 7] Operation: 90-83=7
Exploring Operation: 90-62=28, Resulting Numbers: [19, 83, 28]
Generated Node #0,1: 75:[19, 83, 28] Operation: 90-62=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[19, 83, 28], Operations: ['90-62=28']
Exploring Operation: 28-19=9, Resulting Numbers: [83, 9]
Generated Node #0,1,0: 75:[83, 9] Operation: 28-19=9
Exploring Operation: 83-19=64, Resulting Numbers: [28, 64]
Generated Node #0,1,1: 75:[28, 64] Operation: 83-19=64
Moving to Node #0,1,0
Current State: 75:[83, 9], Operations: ['90-62=28', '28-19=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,75 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[28, 64], Operations: ['90-62=28', '83-19=64']
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,75 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,75 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
Current State: 75:[19, 62, 7], Operations: ['90-83=7']
Exploring Operation: 19+62=81, Resulting Numbers: [7, 81]
Generated Node #0,0,0: 75:[7, 81] Operation: 19+62=81
Exploring Operation: 62+7=69, Resulting Numbers: [19, 69]
Generated Node #0,0,1: 75:[19, 69] Operation: 62+7=69
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[7, 81], Operations: ['90-83=7', '19+62=81']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Exploring Operation: 7+81=88, Resulting Numbers: [88]
88,75 unequal: No Solution
No 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: 75:[19, 69], Operations: ['90-83=7', '62+7=69']
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 19+69=88, Resulting Numbers: [88]
88,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
17,
59,
35,
48
] | 40
|
[
"59-17=42",
"35*48=1680",
"1680/42=40"
] |
Current State: 40:[17, 59, 35, 48], Operations: []
Exploring Operation: 59-17=42, Resulting Numbers: [35, 48, 42]
Generated Node #2: [35, 48, 42] from Operation: 59-17=42
Current State: 40:[35, 48, 42], Operations: ['59-17=42']
Exploring Operation: 35*48=1680, Resulting Numbers: [42, 1680]
Generated Node #3: [42, 1680] from Operation: 35*48=1680
Current State: 40:[42, 1680], Operations: ['59-17=42', '35*48=1680']
Exploring Operation: 1680/42=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
Current State: 40:[17, 59, 35, 48], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [17, 48, 24]
Generated Node #0,0: 40:[17, 48, 24] Operation: 59-35=24
Exploring Operation: 59-48=11, Resulting Numbers: [17, 35, 11]
Generated Node #0,1: 40:[17, 35, 11] Operation: 59-48=11
Exploring Operation: 59-17=42, Resulting Numbers: [35, 48, 42]
Generated Node #0,2: 40:[35, 48, 42] Operation: 59-17=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[17, 35, 11], Operations: ['59-48=11']
Exploring Operation: 17-11=6, Resulting Numbers: [35, 6]
Generated Node #0,1,0: 40:[35, 6] Operation: 17-11=6
Exploring Operation: 35-17=18, Resulting Numbers: [11, 18]
Generated Node #0,1,1: 40:[11, 18] Operation: 35-17=18
Exploring Operation: 35-11=24, Resulting Numbers: [17, 24]
Generated Node #0,1,2: 40:[17, 24] Operation: 35-11=24
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[11, 18], Operations: ['59-48=11', '35-17=18']
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,40 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[35, 6], Operations: ['59-48=11', '17-11=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 40:[17, 24], Operations: ['59-48=11', '35-11=24']
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,40 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[17, 48, 24], Operations: ['59-35=24']
Exploring Operation: 17+24=41, Resulting Numbers: [48, 41]
Generated Node #0,0,0: 40:[48, 41] Operation: 17+24=41
Exploring Operation: 48-24=24, Resulting Numbers: [17, 24]
Generated Node #0,0,1: 40:[17, 24] Operation: 48-24=24
Exploring Operation: 48/24=2, Resulting Numbers: [17, 2]
Generated Node #0,0,2: 40:[17, 2] Operation: 48/24=2
Moving to Node #0,0,2
Current State: 40:[17, 2], Operations: ['59-35=24', '48/24=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,40 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[17, 24], Operations: ['59-35=24', '48-24=24']
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,40 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[48, 41], Operations: ['59-35=24', '17+24=41']
Exploring Operation: 48+41=89, Resulting Numbers: [89]
89,40 unequal: No Solution
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 48*41=1968, Resulting Numbers: [1968]
1968,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[35, 48, 42], Operations: ['59-17=42']
Exploring Operation: 48-42=6, Resulting Numbers: [35, 6]
Generated Node #0,2,0: 40:[35, 6] Operation: 48-42=6
Exploring Operation: 42-35=7, Resulting Numbers: [48, 7]
Generated Node #0,2,1: 40:[48, 7] Operation: 42-35=7
Exploring Operation: 48-35=13, Resulting Numbers: [42, 13]
Generated Node #0,2,2: 40:[42, 13] Operation: 48-35=13
Moving to Node #0,2,2
Current State: 40:[42, 13], Operations: ['59-17=42', '48-35=13']
Exploring Operation: 42*13=546, Resulting Numbers: [546]
546,40 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[35, 6], Operations: ['59-17=42', '48-42=6']
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,40 unequal: No Solution
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[48, 7], Operations: ['59-17=42', '42-35=7']
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,40 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
6,
23,
4,
98
] | 73
|
[
"6+23=29",
"4+98=102",
"102-29=73"
] |
Current State: 73:[6, 23, 4, 98], Operations: []
Exploring Operation: 6+23=29, Resulting Numbers: [4, 98, 29]
Generated Node #2: [4, 98, 29] from Operation: 6+23=29
Current State: 73:[4, 98, 29], Operations: ['6+23=29']
Exploring Operation: 4+98=102, Resulting Numbers: [29, 102]
Generated Node #3: [29, 102] from Operation: 4+98=102
Current State: 73:[29, 102], Operations: ['6+23=29', '4+98=102']
Exploring Operation: 102-29=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
Current State: 73:[6, 23, 4, 98], Operations: []
Exploring Operation: 98-6=92, Resulting Numbers: [23, 4, 92]
Generated Node #0,0: 73:[23, 4, 92] Operation: 98-6=92
Exploring Operation: 23*4=92, Resulting Numbers: [6, 98, 92]
Generated Node #0,1: 73:[6, 98, 92] Operation: 23*4=92
Exploring Operation: 6+23=29, Resulting Numbers: [4, 98, 29]
Generated Node #0,2: 73:[4, 98, 29] Operation: 6+23=29
Exploring Operation: 6+4=10, Resulting Numbers: [23, 98, 10]
Generated Node #0,3: 73:[23, 98, 10] Operation: 6+4=10
Exploring Operation: 6*4=24, Resulting Numbers: [23, 98, 24]
Generated Node #0,4: 73:[23, 98, 24] Operation: 6*4=24
Moving to Node #0,1
Current State: 73:[6, 98, 92], Operations: ['23*4=92']
Exploring Operation: 92-6=86, Resulting Numbers: [98, 86]
Generated Node #0,1,0: 73:[98, 86] Operation: 92-6=86
Exploring Operation: 6+98=104, Resulting Numbers: [92, 104]
Generated Node #0,1,1: 73:[92, 104] Operation: 6+98=104
Exploring Operation: 98-6=92, Resulting Numbers: [92, 92]
Generated Node #0,1,2: 73:[92, 92] Operation: 98-6=92
Exploring Operation: 6+92=98, Resulting Numbers: [98, 98]
Generated Node #0,1,3: 73:[98, 98] Operation: 6+92=98
Exploring Operation: 98-92=6, Resulting Numbers: [6, 6]
Generated Node #0,1,4: 73:[6, 6] Operation: 98-92=6
Moving to Node #0,4
Current State: 73:[23, 98, 24], Operations: ['6*4=24']
Exploring Operation: 98-24=74, Resulting Numbers: [23, 74]
Generated Node #0,4,0: 73:[23, 74] Operation: 98-24=74
Exploring Operation: 23+98=121, Resulting Numbers: [24, 121]
Generated Node #0,4,1: 73:[24, 121] Operation: 23+98=121
Exploring Operation: 24-23=1, Resulting Numbers: [98, 1]
Generated Node #0,4,2: 73:[98, 1] Operation: 24-23=1
Exploring Operation: 23+24=47, Resulting Numbers: [98, 47]
Generated Node #0,4,3: 73:[98, 47] Operation: 23+24=47
Exploring Operation: 98-23=75, Resulting Numbers: [24, 75]
Generated Node #0,4,4: 73:[24, 75] Operation: 98-23=75
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 73:[23, 74], Operations: ['6*4=24', '98-24=74']
Exploring Operation: 23*74=1702, Resulting Numbers: [1702]
1702,73 unequal: No Solution
Exploring Operation: 23+74=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 73:[98, 47], Operations: ['6*4=24', '23+24=47']
Exploring Operation: 98+47=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Exploring Operation: 98-47=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 98*47=4606, Resulting Numbers: [4606]
4606,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 73:[24, 75], Operations: ['6*4=24', '98-23=75']
Exploring Operation: 24*75=1800, Resulting Numbers: [1800]
1800,73 unequal: No Solution
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 24+75=99, Resulting Numbers: [99]
99,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 73:[24, 121], Operations: ['6*4=24', '23+98=121']
Exploring Operation: 24+121=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Exploring Operation: 121-24=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 24*121=2904, Resulting Numbers: [2904]
2904,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 73:[98, 1], Operations: ['6*4=24', '24-23=1']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 98/1=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,73 unequal: No Solution
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 73:[23, 4, 92], Operations: ['98-6=92']
Exploring Operation: 92-23=69, Resulting Numbers: [4, 69]
Generated Node #0,0,0: 73:[4, 69] Operation: 92-23=69
Exploring Operation: 23-4=19, Resulting Numbers: [92, 19]
Generated Node #0,0,1: 73:[92, 19] Operation: 23-4=19
Exploring Operation: 92-4=88, Resulting Numbers: [23, 88]
Generated Node #0,0,2: 73:[23, 88] Operation: 92-4=88
Exploring Operation: 23+4=27, Resulting Numbers: [92, 27]
Generated Node #0,0,3: 73:[92, 27] Operation: 23+4=27
Exploring Operation: 23*4=92, Resulting Numbers: [92, 92]
Generated Node #0,0,4: 73:[92, 92] Operation: 23*4=92
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 73:[92, 92], Operations: ['98-6=92', '23*4=92']
Exploring Operation: 92+92=184, Resulting Numbers: [184]
184,73 unequal: No Solution
Exploring Operation: 92*92=8464, Resulting Numbers: [8464]
8464,73 unequal: No Solution
Exploring Operation: 92-92=0, Resulting Numbers: [0]
0,73 unequal: No Solution
Exploring Operation: 92/92=1, Resulting Numbers: [1]
1,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[23, 88], Operations: ['98-6=92', '92-4=88']
Exploring Operation: 23+88=111, Resulting Numbers: [111]
111,73 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,73 unequal: No Solution
Exploring Operation: 23*88=2024, Resulting Numbers: [2024]
2024,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 73:[92, 27], Operations: ['98-6=92', '23+4=27']
Exploring Operation: 92+27=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 92*27=2484, Resulting Numbers: [2484]
2484,73 unequal: No Solution
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[4, 69], Operations: ['98-6=92', '92-23=69']
Exploring Operation: 4+69=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[6, 23, 4, 98], Operations: []
Exploring Operation: 98-6=92, Resulting Numbers: [23, 4, 92]
Generated Node #0,0: 73:[23, 4, 92] Operation: 98-6=92
Moving to Node #0,0
Current State: 73:[23, 4, 92], Operations: ['98-6=92']
Exploring Operation: 92-23=69, Resulting Numbers: [4, 69]
Generated Node #0,0,0: 73:[4, 69] Operation: 92-23=69
Moving to Node #0,0,0
Current State: 73:[4, 69], Operations: ['98-6=92', '92-23=69']
Exploring Operation: 4+69=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729
|
hs_5
|
sum_heuristic
|
[
10,
10,
35,
2
] | 37
|
[
"10-10=0",
"35+2=37",
"0+37=37"
] |
Current State: 37:[10, 10, 35, 2], Operations: []
Exploring Operation: 10-10=0, Resulting Numbers: [35, 2, 0]
Generated Node #2: [35, 2, 0] from Operation: 10-10=0
Current State: 37:[35, 2, 0], Operations: ['10-10=0']
Exploring Operation: 35+2=37, Resulting Numbers: [0, 37]
Generated Node #3: [0, 37] from Operation: 35+2=37
Current State: 37:[0, 37], Operations: ['10-10=0', '35+2=37']
Exploring Operation: 0+37=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[10, 10, 35, 2], Operations: []
Exploring Operation: 10*2=20, Resulting Numbers: [10, 35, 20]
Generated Node #0,0: 37:[10, 35, 20] Operation: 10*2=20
Exploring Operation: 10*2=20, Resulting Numbers: [10, 35, 20]
Generated Node #0,1: 37:[10, 35, 20] Operation: 10*2=20
Moving to Node #0,0
Current State: 37:[10, 35, 20], Operations: ['10*2=20']
Exploring Operation: 10+20=30, Resulting Numbers: [35, 30]
Generated Node #0,0,0: 37:[35, 30] Operation: 10+20=30
Exploring Operation: 10+35=45, Resulting Numbers: [20, 45]
Generated Node #0,0,1: 37:[20, 45] Operation: 10+35=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[35, 30], Operations: ['10*2=20', '10+20=30']
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,37 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,37 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:[20, 45], Operations: ['10*2=20', '10+35=45']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,37 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: 37:[10, 35, 20], Operations: ['10*2=20']
Exploring Operation: 10+35=45, Resulting Numbers: [20, 45]
Generated Node #0,1,0: 37:[20, 45] Operation: 10+35=45
Exploring Operation: 10+20=30, Resulting Numbers: [35, 30]
Generated Node #0,1,1: 37:[35, 30] Operation: 10+20=30
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[35, 30], Operations: ['10*2=20', '10+20=30']
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,37 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,37 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 #0,1,0
Current State: 37:[20, 45], Operations: ['10*2=20', '10+35=45']
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,37 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,37 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
|
[
8,
43,
56,
21
] | 29
|
[
"56/8=7",
"43-21=22",
"7+22=29"
] |
Current State: 29:[8, 43, 56, 21], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [43, 21, 7]
Generated Node #2: [43, 21, 7] from Operation: 56/8=7
Current State: 29:[43, 21, 7], Operations: ['56/8=7']
Exploring Operation: 43-21=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 43-21=22
Current State: 29:[7, 22], Operations: ['56/8=7', '43-21=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
Current State: 29:[8, 43, 56, 21], Operations: []
Exploring Operation: 43-8=35, Resulting Numbers: [56, 21, 35]
Generated Node #0,0: 29:[56, 21, 35] Operation: 43-8=35
Exploring Operation: 8+21=29, Resulting Numbers: [43, 56, 29]
Generated Node #0,1: 29:[43, 56, 29] Operation: 8+21=29
Exploring Operation: 56-8=48, Resulting Numbers: [43, 21, 48]
Generated Node #0,2: 29:[43, 21, 48] Operation: 56-8=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[56, 21, 35], Operations: ['43-8=35']
Exploring Operation: 56-21=35, Resulting Numbers: [35, 35]
Generated Node #0,0,0: 29:[35, 35] Operation: 56-21=35
Exploring Operation: 35-21=14, Resulting Numbers: [56, 14]
Generated Node #0,0,1: 29:[56, 14] Operation: 35-21=14
Exploring Operation: 56-35=21, Resulting Numbers: [21, 21]
Generated Node #0,0,2: 29:[21, 21] Operation: 56-35=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[35, 35], Operations: ['43-8=35', '56-21=35']
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,29 unequal: No Solution
No 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: 29:[21, 21], Operations: ['43-8=35', '56-35=21']
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,29 unequal: No Solution
No 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: 29:[56, 14], Operations: ['43-8=35', '35-21=14']
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,29 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: 29:[43, 56, 29], Operations: ['8+21=29']
Exploring Operation: 56-43=13, Resulting Numbers: [29, 13]
Generated Node #0,1,0: 29:[29, 13] Operation: 56-43=13
Exploring Operation: 43-29=14, Resulting Numbers: [56, 14]
Generated Node #0,1,1: 29:[56, 14] Operation: 43-29=14
Exploring Operation: 56-29=27, Resulting Numbers: [43, 27]
Generated Node #0,1,2: 29:[43, 27] Operation: 56-29=27
Moving to Node #0,1,0
Current State: 29:[29, 13], Operations: ['8+21=29', '56-43=13']
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,29 unequal: No Solution
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[43, 27], Operations: ['8+21=29', '56-29=27']
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 43*27=1161, Resulting Numbers: [1161]
1161,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[56, 14], Operations: ['8+21=29', '43-29=14']
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,29 unequal: No Solution
No 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: 29:[43, 21, 48], Operations: ['56-8=48']
Exploring Operation: 43-21=22, Resulting Numbers: [48, 22]
Generated Node #0,2,0: 29:[48, 22] Operation: 43-21=22
Exploring Operation: 48-21=27, Resulting Numbers: [43, 27]
Generated Node #0,2,1: 29:[43, 27] Operation: 48-21=27
Exploring Operation: 48-43=5, Resulting Numbers: [21, 5]
Generated Node #0,2,2: 29:[21, 5] Operation: 48-43=5
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 29:[43, 27], Operations: ['56-8=48', '48-21=27']
Exploring Operation: 43*27=1161, Resulting Numbers: [1161]
1161,29 unequal: No Solution
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,29 unequal: No Solution
No 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: 29:[48, 22], Operations: ['56-8=48', '43-21=22']
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 48*22=1056, Resulting Numbers: [1056]
1056,29 unequal: No Solution
No 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: 29:[21, 5], Operations: ['56-8=48', '48-43=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,29 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,29 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
|
[
61,
17,
95,
98
] | 49
|
[
"95-61=34",
"17*98=1666",
"1666/34=49"
] |
Current State: 49:[61, 17, 95, 98], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [17, 98, 34]
Generated Node #2: [17, 98, 34] from Operation: 95-61=34
Current State: 49:[17, 98, 34], Operations: ['95-61=34']
Exploring Operation: 17*98=1666, Resulting Numbers: [34, 1666]
Generated Node #3: [34, 1666] from Operation: 17*98=1666
Current State: 49:[34, 1666], Operations: ['95-61=34', '17*98=1666']
Exploring Operation: 1666/34=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[61, 17, 95, 98], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [61, 17, 3]
Generated Node #0,0: 49:[61, 17, 3] Operation: 98-95=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[61, 17, 3], Operations: ['98-95=3']
Exploring Operation: 61-17=44, Resulting Numbers: [3, 44]
Generated Node #0,0,0: 49:[3, 44] Operation: 61-17=44
Moving to Node #0,0,0
Current State: 49:[3, 44], Operations: ['98-95=3', '61-17=44']
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,49 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
|
[
54,
52,
9,
83
] | 46
|
[
"54-52=2",
"9+83=92",
"92/2=46"
] |
Current State: 46:[54, 52, 9, 83], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [9, 83, 2]
Generated Node #2: [9, 83, 2] from Operation: 54-52=2
Current State: 46:[9, 83, 2], Operations: ['54-52=2']
Exploring Operation: 9+83=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 9+83=92
Current State: 46:[2, 92], Operations: ['54-52=2', '9+83=92']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[54, 52, 9, 83], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [54, 9, 31]
Generated Node #0,0: 46:[54, 9, 31] Operation: 83-52=31
Exploring Operation: 83-9=74, Resulting Numbers: [54, 52, 74]
Generated Node #0,1: 46:[54, 52, 74] Operation: 83-9=74
Exploring Operation: 54-52=2, Resulting Numbers: [9, 83, 2]
Generated Node #0,2: 46:[9, 83, 2] Operation: 54-52=2
Exploring Operation: 83-54=29, Resulting Numbers: [52, 9, 29]
Generated Node #0,3: 46:[52, 9, 29] Operation: 83-54=29
Moving to Node #0,3
Current State: 46:[52, 9, 29], Operations: ['83-54=29']
Exploring Operation: 9+29=38, Resulting Numbers: [52, 38]
Generated Node #0,3,0: 46:[52, 38] Operation: 9+29=38
Exploring Operation: 29-9=20, Resulting Numbers: [52, 20]
Generated Node #0,3,1: 46:[52, 20] Operation: 29-9=20
Exploring Operation: 52-29=23, Resulting Numbers: [9, 23]
Generated Node #0,3,2: 46:[9, 23] Operation: 52-29=23
Exploring Operation: 52-9=43, Resulting Numbers: [29, 43]
Generated Node #0,3,3: 46:[29, 43] Operation: 52-9=43
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 46:[9, 23], Operations: ['83-54=29', '52-29=23']
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,46 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,46 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 #0,3,1
Current State: 46:[52, 20], Operations: ['83-54=29', '29-9=20']
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 52*20=1040, Resulting Numbers: [1040]
1040,46 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,46 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:[29, 43], Operations: ['83-54=29', '52-9=43']
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,46 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,46 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:[52, 38], Operations: ['83-54=29', '9+29=38']
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,46 unequal: No Solution
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 46:[54, 9, 31], Operations: ['83-52=31']
Exploring Operation: 54-9=45, Resulting Numbers: [31, 45]
Generated Node #0,0,0: 46:[31, 45] Operation: 54-9=45
Exploring Operation: 54-31=23, Resulting Numbers: [9, 23]
Generated Node #0,0,1: 46:[9, 23] Operation: 54-31=23
Exploring Operation: 54/9=6, Resulting Numbers: [31, 6]
Generated Node #0,0,2: 46:[31, 6] Operation: 54/9=6
Exploring Operation: 31-9=22, Resulting Numbers: [54, 22]
Generated Node #0,0,3: 46:[54, 22] Operation: 31-9=22
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[9, 23], Operations: ['83-52=31', '54-31=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[31, 45], Operations: ['83-52=31', '54-9=45']
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,46 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,46 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 46:[54, 22], Operations: ['83-52=31', '31-9=22']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,46 unequal: No Solution
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 46:[31, 6], Operations: ['83-52=31', '54/9=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,46 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,46 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: 46:[54, 52, 74], Operations: ['83-9=74']
Exploring Operation: 54-52=2, Resulting Numbers: [74, 2]
Generated Node #0,1,0: 46:[74, 2] Operation: 54-52=2
Exploring Operation: 54+52=106, Resulting Numbers: [74, 106]
Generated Node #0,1,1: 46:[74, 106] Operation: 54+52=106
Exploring Operation: 74-54=20, Resulting Numbers: [52, 20]
Generated Node #0,1,2: 46:[52, 20] Operation: 74-54=20
Exploring Operation: 74-52=22, Resulting Numbers: [54, 22]
Generated Node #0,1,3: 46:[54, 22] Operation: 74-52=22
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[52, 20], Operations: ['83-9=74', '74-54=20']
Exploring Operation: 52*20=1040, Resulting Numbers: [1040]
1040,46 unequal: No Solution
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[54, 22], Operations: ['83-9=74', '74-52=22']
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,46 unequal: No Solution
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,46 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[74, 2], Operations: ['83-9=74', '54-52=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,46 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,46 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[74, 106], Operations: ['83-9=74', '54+52=106']
Exploring Operation: 74*106=7844, Resulting Numbers: [7844]
7844,46 unequal: No Solution
Exploring Operation: 106-74=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 74+106=180, Resulting Numbers: [180]
180,46 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: 46:[9, 83, 2], Operations: ['54-52=2']
Exploring Operation: 83-2=81, Resulting Numbers: [9, 81]
Generated Node #0,2,0: 46:[9, 81] Operation: 83-2=81
Exploring Operation: 9-2=7, Resulting Numbers: [83, 7]
Generated Node #0,2,1: 46:[83, 7] Operation: 9-2=7
Exploring Operation: 9*2=18, Resulting Numbers: [83, 18]
Generated Node #0,2,2: 46:[83, 18] Operation: 9*2=18
Exploring Operation: 83-9=74, Resulting Numbers: [2, 74]
Generated Node #0,2,3: 46:[2, 74] Operation: 83-9=74
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 46:[2, 74], Operations: ['54-52=2', '83-9=74']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 2*74=148, Resulting Numbers: [148]
148,46 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,46 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 #0,2,0
Current State: 46:[9, 81], Operations: ['54-52=2', '83-2=81']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,46 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,46 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 #0,2,1
Current State: 46:[83, 7], Operations: ['54-52=2', '9-2=7']
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,46 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,46 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 #0,2,2
Current State: 46:[83, 18], Operations: ['54-52=2', '9*2=18']
Exploring Operation: 83*18=1494, Resulting Numbers: [1494]
1494,46 unequal: No Solution
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 83+18=101, Resulting Numbers: [101]
101,46 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
|
[
15,
25,
90,
15
] | 81
|
[
"15*15=225",
"225/25=9",
"90-9=81"
] |
Current State: 81:[15, 25, 90, 15], Operations: []
Exploring Operation: 15*15=225, Resulting Numbers: [25, 90, 225]
Generated Node #2: [25, 90, 225] from Operation: 15*15=225
Current State: 81:[25, 90, 225], Operations: ['15*15=225']
Exploring Operation: 225/25=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 225/25=9
Current State: 81:[90, 9], Operations: ['15*15=225', '225/25=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[15, 25, 90, 15], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [25, 15, 6]
Generated Node #0,0: 81:[25, 15, 6] Operation: 90/15=6
Moving to Node #0,0
Current State: 81:[25, 15, 6], Operations: ['90/15=6']
Exploring Operation: 15-6=9, Resulting Numbers: [25, 9]
Generated Node #0,0,0: 81:[25, 9] Operation: 15-6=9
Moving to Node #0,0,0
Current State: 81:[25, 9], Operations: ['90/15=6', '15-6=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,81 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
57,
92,
61,
3
] | 70
|
[
"57+92=149",
"61+149=210",
"210/3=70"
] |
Current State: 70:[57, 92, 61, 3], Operations: []
Exploring Operation: 57+92=149, Resulting Numbers: [61, 3, 149]
Generated Node #2: [61, 3, 149] from Operation: 57+92=149
Current State: 70:[61, 3, 149], Operations: ['57+92=149']
Exploring Operation: 61+149=210, Resulting Numbers: [3, 210]
Generated Node #3: [3, 210] from Operation: 61+149=210
Current State: 70:[3, 210], Operations: ['57+92=149', '61+149=210']
Exploring Operation: 210/3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[57, 92, 61, 3], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [61, 3, 35]
Generated Node #0,0: 70:[61, 3, 35] Operation: 92-57=35
Moving to Node #0,0
Current State: 70:[61, 3, 35], Operations: ['92-57=35']
Exploring Operation: 61+3=64, Resulting Numbers: [35, 64]
Generated Node #0,0,0: 70:[35, 64] Operation: 61+3=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[35, 64], Operations: ['92-57=35', '61+3=64']
Exploring Operation: 64-35=29, Resulting Numbers: [29]
29,70 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
|
[
33,
97,
35,
47
] | 43
|
[
"97+35=132",
"132/33=4",
"47-4=43"
] |
Current State: 43:[33, 97, 35, 47], Operations: []
Exploring Operation: 97+35=132, Resulting Numbers: [33, 47, 132]
Generated Node #2: [33, 47, 132] from Operation: 97+35=132
Current State: 43:[33, 47, 132], Operations: ['97+35=132']
Exploring Operation: 132/33=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 132/33=4
Current State: 43:[47, 4], Operations: ['97+35=132', '132/33=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[33, 97, 35, 47], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [33, 35, 50]
Generated Node #0,0: 43:[33, 35, 50] Operation: 97-47=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[33, 35, 50], Operations: ['97-47=50']
Exploring Operation: 33+35=68, Resulting Numbers: [50, 68]
Generated Node #0,0,0: 43:[50, 68] Operation: 33+35=68
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[50, 68], Operations: ['97-47=50', '33+35=68']
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,43 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_1
|
sum_heuristic
|
[
75,
46,
8,
82
] | 47
|
[
"75+46=121",
"82-8=74",
"121-74=47"
] |
Current State: 47:[75, 46, 8, 82], Operations: []
Exploring Operation: 75+46=121, Resulting Numbers: [8, 82, 121]
Generated Node #2: [8, 82, 121] from Operation: 75+46=121
Current State: 47:[8, 82, 121], Operations: ['75+46=121']
Exploring Operation: 82-8=74, Resulting Numbers: [121, 74]
Generated Node #3: [121, 74] from Operation: 82-8=74
Current State: 47:[121, 74], Operations: ['75+46=121', '82-8=74']
Exploring Operation: 121-74=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[75, 46, 8, 82], Operations: []
Exploring Operation: 75-8=67, Resulting Numbers: [46, 82, 67]
Generated Node #0,0: 47:[46, 82, 67] Operation: 75-8=67
Exploring Operation: 82-8=74, Resulting Numbers: [75, 46, 74]
Generated Node #0,1: 47:[75, 46, 74] Operation: 82-8=74
Exploring Operation: 46+8=54, Resulting Numbers: [75, 82, 54]
Generated Node #0,2: 47:[75, 82, 54] Operation: 46+8=54
Exploring Operation: 75+8=83, Resulting Numbers: [46, 82, 83]
Generated Node #0,3: 47:[46, 82, 83] Operation: 75+8=83
Moving to Node #0,0
Current State: 47:[46, 82, 67], Operations: ['75-8=67']
Exploring Operation: 82-67=15, Resulting Numbers: [46, 15]
Generated Node #0,0,0: 47:[46, 15] Operation: 82-67=15
Exploring Operation: 46+82=128, Resulting Numbers: [67, 128]
Generated Node #0,0,1: 47:[67, 128] Operation: 46+82=128
Exploring Operation: 67-46=21, Resulting Numbers: [82, 21]
Generated Node #0,0,2: 47:[82, 21] Operation: 67-46=21
Exploring Operation: 82-46=36, Resulting Numbers: [67, 36]
Generated Node #0,0,3: 47:[67, 36] Operation: 82-46=36
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[67, 36], Operations: ['75-8=67', '82-46=36']
Exploring Operation: 67*36=2412, Resulting Numbers: [2412]
2412,47 unequal: No Solution
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 67+36=103, Resulting Numbers: [103]
103,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[46, 15], Operations: ['75-8=67', '82-67=15']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 46*15=690, Resulting Numbers: [690]
690,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[82, 21], Operations: ['75-8=67', '67-46=21']
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 82+21=103, Resulting Numbers: [103]
103,47 unequal: No Solution
Exploring Operation: 82*21=1722, Resulting Numbers: [1722]
1722,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[67, 128], Operations: ['75-8=67', '46+82=128']
Exploring Operation: 67+128=195, Resulting Numbers: [195]
195,47 unequal: No Solution
Exploring Operation: 128-67=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 67*128=8576, Resulting Numbers: [8576]
8576,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 47:[75, 46, 74], Operations: ['82-8=74']
Exploring Operation: 75-74=1, Resulting Numbers: [46, 1]
Generated Node #0,1,0: 47:[46, 1] Operation: 75-74=1
Exploring Operation: 75-46=29, Resulting Numbers: [74, 29]
Generated Node #0,1,1: 47:[74, 29] Operation: 75-46=29
Exploring Operation: 74-46=28, Resulting Numbers: [75, 28]
Generated Node #0,1,2: 47:[75, 28] Operation: 74-46=28
Exploring Operation: 75+46=121, Resulting Numbers: [74, 121]
Generated Node #0,1,3: 47:[74, 121] Operation: 75+46=121
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[74, 29], Operations: ['82-8=74', '75-46=29']
Exploring Operation: 74*29=2146, Resulting Numbers: [2146]
2146,47 unequal: No Solution
Exploring Operation: 74+29=103, Resulting Numbers: [103]
103,47 unequal: No Solution
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[46, 1], Operations: ['82-8=74', '75-74=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[75, 46, 8, 82], Operations: []
Exploring Operation: 82-8=74, Resulting Numbers: [75, 46, 74]
Generated Node #0,1: 47:[75, 46, 74] Operation: 82-8=74
Moving to Node #0,1
Current State: 47:[75, 46, 74], Operations: ['82-8=74']
Exploring Operation: 75-74=1, Resulting Numbers: [46, 1]
Generated Node #0,1,0: 47:[46, 1] Operation: 75-74=1
Moving to Node #0,1,0
Current State: 47:[46, 1], Operations: ['82-8=74', '75-74=1']
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_4
|
sum_heuristic
|
[
9,
12,
6,
50
] | 23
|
[
"9+12=21",
"50-6=44",
"44-21=23"
] |
Current State: 23:[9, 12, 6, 50], Operations: []
Exploring Operation: 9+12=21, Resulting Numbers: [6, 50, 21]
Generated Node #2: [6, 50, 21] from Operation: 9+12=21
Current State: 23:[6, 50, 21], Operations: ['9+12=21']
Exploring Operation: 50-6=44, Resulting Numbers: [21, 44]
Generated Node #3: [21, 44] from Operation: 50-6=44
Current State: 23:[21, 44], Operations: ['9+12=21', '50-6=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
Current State: 23:[9, 12, 6, 50], Operations: []
Exploring Operation: 9+12=21, Resulting Numbers: [6, 50, 21]
Generated Node #0,0: 23:[6, 50, 21] Operation: 9+12=21
Moving to Node #0,0
Current State: 23:[6, 50, 21], Operations: ['9+12=21']
Exploring Operation: 50-6=44, Resulting Numbers: [21, 44]
Generated Node #0,0,0: 23:[21, 44] Operation: 50-6=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[21, 44], Operations: ['9+12=21', '50-6=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[9, 12, 6, 50], Operations: []
Exploring Operation: 9+12=21, Resulting Numbers: [6, 50, 21]
Generated Node #0,0: 23:[6, 50, 21] Operation: 9+12=21
Moving to Node #0,0
Current State: 23:[6, 50, 21], Operations: ['9+12=21']
Exploring Operation: 50-6=44, Resulting Numbers: [21, 44]
Generated Node #0,0,0: 23:[21, 44] Operation: 50-6=44
Moving to Node #0,0,0
Current State: 23:[21, 44], Operations: ['9+12=21', '50-6=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
15,
58,
25,
98
] | 20
|
[
"15*98=1470",
"58*25=1450",
"1470-1450=20"
] |
Current State: 20:[15, 58, 25, 98], Operations: []
Exploring Operation: 15*98=1470, Resulting Numbers: [58, 25, 1470]
Generated Node #2: [58, 25, 1470] from Operation: 15*98=1470
Current State: 20:[58, 25, 1470], Operations: ['15*98=1470']
Exploring Operation: 58*25=1450, Resulting Numbers: [1470, 1450]
Generated Node #3: [1470, 1450] from Operation: 58*25=1450
Current State: 20:[1470, 1450], Operations: ['15*98=1470', '58*25=1450']
Exploring Operation: 1470-1450=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[15, 58, 25, 98], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [15, 25, 40]
Generated Node #0,0: 20:[15, 25, 40] Operation: 98-58=40
Exploring Operation: 98-15=83, Resulting Numbers: [58, 25, 83]
Generated Node #0,1: 20:[58, 25, 83] Operation: 98-15=83
Exploring Operation: 58-15=43, Resulting Numbers: [25, 98, 43]
Generated Node #0,2: 20:[25, 98, 43] Operation: 58-15=43
Exploring Operation: 98-25=73, Resulting Numbers: [15, 58, 73]
Generated Node #0,3: 20:[15, 58, 73] Operation: 98-25=73
Exploring Operation: 58-25=33, Resulting Numbers: [15, 98, 33]
Generated Node #0,4: 20:[15, 98, 33] Operation: 58-25=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[15, 25, 40], Operations: ['98-58=40']
Exploring Operation: 15+40=55, Resulting Numbers: [25, 55]
Generated Node #0,0,0: 20:[25, 55] Operation: 15+40=55
Exploring Operation: 40-25=15, Resulting Numbers: [15, 15]
Generated Node #0,0,1: 20:[15, 15] Operation: 40-25=15
Exploring Operation: 40-15=25, Resulting Numbers: [25, 25]
Generated Node #0,0,2: 20:[25, 25] Operation: 40-15=25
Exploring Operation: 25-15=10, Resulting Numbers: [40, 10]
Generated Node #0,0,3: 20:[40, 10] Operation: 25-15=10
Exploring Operation: 15+25=40, Resulting Numbers: [40, 40]
Generated Node #0,0,4: 20:[40, 40] Operation: 15+25=40
Moving to Node #0,0,1
Current State: 20:[15, 15], Operations: ['98-58=40', '40-25=15']
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,20 unequal: No Solution
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[25, 25], Operations: ['98-58=40', '40-15=25']
Exploring Operation: 25/25=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 25*25=625, Resulting Numbers: [625]
625,20 unequal: No Solution
Exploring Operation: 25+25=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Exploring Operation: 25-25=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[40, 10], Operations: ['98-58=40', '25-15=10']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 40*10=400, Resulting Numbers: [400]
400,20 unequal: No Solution
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[25, 55], Operations: ['98-58=40', '15+40=55']
Exploring Operation: 25*55=1375, Resulting Numbers: [1375]
1375,20 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,20 unequal: No Solution
Moving to Node #0,0,4
Current State: 20:[40, 40], Operations: ['98-58=40', '15+25=40']
Exploring Operation: 40*40=1600, Resulting Numbers: [1600]
1600,20 unequal: No Solution
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[15, 58, 73], Operations: ['98-25=73']
Exploring Operation: 15+58=73, Resulting Numbers: [73, 73]
Generated Node #0,3,0: 20:[73, 73] Operation: 15+58=73
Exploring Operation: 15+73=88, Resulting Numbers: [58, 88]
Generated Node #0,3,1: 20:[58, 88] Operation: 15+73=88
Exploring Operation: 73-15=58, Resulting Numbers: [58, 58]
Generated Node #0,3,2: 20:[58, 58] Operation: 73-15=58
Exploring Operation: 58-15=43, Resulting Numbers: [73, 43]
Generated Node #0,3,3: 20:[73, 43] Operation: 58-15=43
Exploring Operation: 73-58=15, Resulting Numbers: [15, 15]
Generated Node #0,3,4: 20:[15, 15] Operation: 73-58=15
Moving to Node #0,3,4
Current State: 20:[15, 15], Operations: ['98-25=73', '73-58=15']
Exploring Operation: 15/15=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,20 unequal: No Solution
Exploring Operation: 15-15=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[73, 43], Operations: ['98-25=73', '58-15=43']
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,20 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Moving to Node #0,3,2
Current State: 20:[58, 58], Operations: ['98-25=73', '73-15=58']
Exploring Operation: 58+58=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 58-58=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 58*58=3364, Resulting Numbers: [3364]
3364,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[73, 73], Operations: ['98-25=73', '15+58=73']
Exploring Operation: 73/73=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 73+73=146, Resulting Numbers: [146]
146,20 unequal: No Solution
Exploring Operation: 73*73=5329, Resulting Numbers: [5329]
5329,20 unequal: No Solution
Exploring Operation: 73-73=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Moving to Node #0,3,1
Current State: 20:[58, 88], Operations: ['98-25=73', '15+73=88']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 58*88=5104, Resulting Numbers: [5104]
5104,20 unequal: No Solution
Exploring Operation: 58+88=146, Resulting Numbers: [146]
146,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 20:[15, 98, 33], Operations: ['58-25=33']
Exploring Operation: 98-33=65, Resulting Numbers: [15, 65]
Generated Node #0,4,0: 20:[15, 65] Operation: 98-33=65
Exploring Operation: 15+98=113, Resulting Numbers: [33, 113]
Generated Node #0,4,1: 20:[33, 113] Operation: 15+98=113
Exploring Operation: 33-15=18, Resulting Numbers: [98, 18]
Generated Node #0,4,2: 20:[98, 18] Operation: 33-15=18
Exploring Operation: 15+33=48, Resulting Numbers: [98, 48]
Generated Node #0,4,3: 20:[98, 48] Operation: 15+33=48
Exploring Operation: 98-15=83, Resulting Numbers: [33, 83]
Generated Node #0,4,4: 20:[33, 83] Operation: 98-15=83
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 20:[15, 65], Operations: ['58-25=33', '98-33=65']
Exploring Operation: 15+65=80, Resulting Numbers: [80]
80,20 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Exploring Operation: 15*65=975, Resulting Numbers: [975]
975,20 unequal: No Solution
No 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: 20:[33, 83], Operations: ['58-25=33', '98-15=83']
Exploring Operation: 33+83=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Exploring Operation: 33*83=2739, Resulting Numbers: [2739]
2739,20 unequal: No Solution
No 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: 20:[98, 18], Operations: ['58-25=33', '33-15=18']
Exploring Operation: 98+18=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 98-18=80, Resulting Numbers: [80]
80,20 unequal: No Solution
Exploring Operation: 98*18=1764, Resulting Numbers: [1764]
1764,20 unequal: No Solution
No 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: 20:[33, 113], Operations: ['58-25=33', '15+98=113']
Exploring Operation: 33+113=146, Resulting Numbers: [146]
146,20 unequal: No Solution
Exploring Operation: 33*113=3729, Resulting Numbers: [3729]
3729,20 unequal: No Solution
Exploring Operation: 113-33=80, Resulting Numbers: [80]
80,20 unequal: No Solution
No 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: 20:[98, 48], Operations: ['58-25=33', '15+33=48']
Exploring Operation: 98*48=4704, Resulting Numbers: [4704]
4704,20 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Exploring Operation: 98+48=146, Resulting Numbers: [146]
146,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[58, 25, 83], Operations: ['98-15=83']
Exploring Operation: 83-58=25, Resulting Numbers: [25, 25]
Generated Node #0,1,0: 20:[25, 25] Operation: 83-58=25
Exploring Operation: 83-25=58, Resulting Numbers: [58, 58]
Generated Node #0,1,1: 20:[58, 58] Operation: 83-25=58
Exploring Operation: 58+25=83, Resulting Numbers: [83, 83]
Generated Node #0,1,2: 20:[83, 83] Operation: 58+25=83
Exploring Operation: 58-25=33, Resulting Numbers: [83, 33]
Generated Node #0,1,3: 20:[83, 33] Operation: 58-25=33
Exploring Operation: 58+83=141, Resulting Numbers: [25, 141]
Generated Node #0,1,4: 20:[25, 141] Operation: 58+83=141
Moving to Node #0,1,0
Current State: 20:[25, 25], Operations: ['98-15=83', '83-58=25']
Exploring Operation: 25-25=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 25+25=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Exploring Operation: 25/25=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 25*25=625, Resulting Numbers: [625]
625,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[83, 33], Operations: ['98-15=83', '58-25=33']
Exploring Operation: 83*33=2739, Resulting Numbers: [2739]
2739,20 unequal: No Solution
Exploring Operation: 83+33=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[58, 58], Operations: ['98-15=83', '83-25=58']
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 58*58=3364, Resulting Numbers: [3364]
3364,20 unequal: No Solution
Exploring Operation: 58+58=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 58-58=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[83, 83], Operations: ['98-15=83', '58+25=83']
Exploring Operation: 83-83=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 83/83=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 83+83=166, Resulting Numbers: [166]
166,20 unequal: No Solution
Exploring Operation: 83*83=6889, Resulting Numbers: [6889]
6889,20 unequal: No Solution
Moving to Node #0,1,4
Current State: 20:[25, 141], Operations: ['98-15=83', '58+83=141']
Exploring Operation: 25+141=166, Resulting Numbers: [166]
166,20 unequal: No Solution
Exploring Operation: 25*141=3525, Resulting Numbers: [3525]
3525,20 unequal: No Solution
Exploring Operation: 141-25=116, Resulting Numbers: [116]
116,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[25, 98, 43], Operations: ['58-15=43']
Exploring Operation: 25+98=123, Resulting Numbers: [43, 123]
Generated Node #0,2,0: 20:[43, 123] Operation: 25+98=123
Exploring Operation: 98-43=55, Resulting Numbers: [25, 55]
Generated Node #0,2,1: 20:[25, 55] Operation: 98-43=55
Exploring Operation: 98-25=73, Resulting Numbers: [43, 73]
Generated Node #0,2,2: 20:[43, 73] Operation: 98-25=73
Exploring Operation: 43-25=18, Resulting Numbers: [98, 18]
Generated Node #0,2,3: 20:[98, 18] Operation: 43-25=18
Exploring Operation: 25+43=68, Resulting Numbers: [98, 68]
Generated Node #0,2,4: 20:[98, 68] Operation: 25+43=68
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 20:[25, 55], Operations: ['58-15=43', '98-43=55']
Exploring Operation: 25*55=1375, Resulting Numbers: [1375]
1375,20 unequal: No Solution
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,20 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,20 unequal: No Solution
No 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: 20:[43, 73], Operations: ['58-15=43', '98-25=73']
Exploring Operation: 43+73=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 43*73=3139, Resulting Numbers: [3139]
3139,20 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,20 unequal: No Solution
No 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: 20:[98, 18], Operations: ['58-15=43', '43-25=18']
Exploring Operation: 98+18=116, Resulting Numbers: [116]
116,20 unequal: No Solution
Exploring Operation: 98*18=1764, Resulting Numbers: [1764]
1764,20 unequal: No Solution
Exploring Operation: 98-18=80, Resulting Numbers: [80]
80,20 unequal: No Solution
No 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: 20:[43, 123], Operations: ['58-15=43', '25+98=123']
Exploring Operation: 123-43=80, Resulting Numbers: [80]
80,20 unequal: No Solution
Exploring Operation: 43*123=5289, Resulting Numbers: [5289]
5289,20 unequal: No Solution
Exploring Operation: 43+123=166, Resulting Numbers: [166]
166,20 unequal: No Solution
No 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: 20:[98, 68], Operations: ['58-15=43', '25+43=68']
Exploring Operation: 98-68=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 98*68=6664, Resulting Numbers: [6664]
6664,20 unequal: No Solution
Exploring Operation: 98+68=166, Resulting Numbers: [166]
166,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
94,
2,
49,
14
] | 89
|
[
"94-14=80",
"80/2=40",
"49+40=89"
] |
Current State: 89:[94, 2, 49, 14], Operations: []
Exploring Operation: 94-14=80, Resulting Numbers: [2, 49, 80]
Generated Node #2: [2, 49, 80] from Operation: 94-14=80
Current State: 89:[2, 49, 80], Operations: ['94-14=80']
Exploring Operation: 80/2=40, Resulting Numbers: [49, 40]
Generated Node #3: [49, 40] from Operation: 80/2=40
Current State: 89:[49, 40], Operations: ['94-14=80', '80/2=40']
Exploring Operation: 49+40=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[94, 2, 49, 14], Operations: []
Exploring Operation: 2*14=28, Resulting Numbers: [94, 49, 28]
Generated Node #0,0: 89:[94, 49, 28] Operation: 2*14=28
Exploring Operation: 2*49=98, Resulting Numbers: [94, 14, 98]
Generated Node #0,1: 89:[94, 14, 98] Operation: 2*49=98
Moving to Node #0,1
Current State: 89:[94, 14, 98], Operations: ['2*49=98']
Exploring Operation: 98-14=84, Resulting Numbers: [94, 84]
Generated Node #0,1,0: 89:[94, 84] Operation: 98-14=84
Exploring Operation: 94-14=80, Resulting Numbers: [98, 80]
Generated Node #0,1,1: 89:[98, 80] Operation: 94-14=80
Moving to Node #0,0
Current State: 89:[94, 49, 28], Operations: ['2*14=28']
Exploring Operation: 94-28=66, Resulting Numbers: [49, 66]
Generated Node #0,0,0: 89:[49, 66] Operation: 94-28=66
Exploring Operation: 49+28=77, Resulting Numbers: [94, 77]
Generated Node #0,0,1: 89:[94, 77] Operation: 49+28=77
Moving to Node #0,1,0
Current State: 89:[94, 84], Operations: ['2*49=98', '98-14=84']
Exploring Operation: 94+84=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Exploring Operation: 94-84=10, Resulting Numbers: [10]
10,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[94, 77], Operations: ['2*14=28', '49+28=77']
Exploring Operation: 94+77=171, Resulting Numbers: [171]
171,89 unequal: No Solution
Exploring Operation: 94-77=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[98, 80], Operations: ['2*49=98', '94-14=80']
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,89 unequal: No Solution
Exploring Operation: 98+80=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[49, 66], Operations: ['2*14=28', '94-28=66']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 49+66=115, Resulting Numbers: [115]
115,89 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
69,
39,
72,
22
] | 35
|
[
"72-69=3",
"39/3=13",
"22+13=35"
] |
Current State: 35:[69, 39, 72, 22], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [39, 22, 3]
Generated Node #2: [39, 22, 3] from Operation: 72-69=3
Current State: 35:[39, 22, 3], Operations: ['72-69=3']
Exploring Operation: 39/3=13, Resulting Numbers: [22, 13]
Generated Node #3: [22, 13] from Operation: 39/3=13
Current State: 35:[22, 13], Operations: ['72-69=3', '39/3=13']
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[69, 39, 72, 22], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [39, 72, 47]
Generated Node #0,0: 35:[39, 72, 47] Operation: 69-22=47
Exploring Operation: 72-39=33, Resulting Numbers: [69, 22, 33]
Generated Node #0,1: 35:[69, 22, 33] Operation: 72-39=33
Exploring Operation: 72-69=3, Resulting Numbers: [39, 22, 3]
Generated Node #0,2: 35:[39, 22, 3] Operation: 72-69=3
Exploring Operation: 69-39=30, Resulting Numbers: [72, 22, 30]
Generated Node #0,3: 35:[72, 22, 30] Operation: 69-39=30
Exploring Operation: 72-22=50, Resulting Numbers: [69, 39, 50]
Generated Node #0,4: 35:[69, 39, 50] Operation: 72-22=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[39, 22, 3], Operations: ['72-69=3']
Exploring Operation: 39/3=13, Resulting Numbers: [22, 13]
Generated Node #0,2,0: 35:[22, 13] Operation: 39/3=13
Exploring Operation: 22+3=25, Resulting Numbers: [39, 25]
Generated Node #0,2,1: 35:[39, 25] Operation: 22+3=25
Exploring Operation: 22-3=19, Resulting Numbers: [39, 19]
Generated Node #0,2,2: 35:[39, 19] Operation: 22-3=19
Exploring Operation: 39-3=36, Resulting Numbers: [22, 36]
Generated Node #0,2,3: 35:[22, 36] Operation: 39-3=36
Exploring Operation: 39-22=17, Resulting Numbers: [3, 17]
Generated Node #0,2,4: 35:[3, 17] Operation: 39-22=17
Moving to Node #0,2,4
Current State: 35:[3, 17], Operations: ['72-69=3', '39-22=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,35 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[22, 36], Operations: ['72-69=3', '39-3=36']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 22+36=58, Resulting Numbers: [58]
58,35 unequal: No Solution
Exploring Operation: 22*36=792, Resulting Numbers: [792]
792,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[39, 25], Operations: ['72-69=3', '22+3=25']
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,35 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 39*25=975, Resulting Numbers: [975]
975,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[39, 19], Operations: ['72-69=3', '22-3=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 39+19=58, Resulting Numbers: [58]
58,35 unequal: No Solution
Exploring Operation: 39*19=741, Resulting Numbers: [741]
741,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[22, 13], Operations: ['72-69=3', '39/3=13']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[69, 39, 72, 22], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [39, 22, 3]
Generated Node #0,2: 35:[39, 22, 3] Operation: 72-69=3
Moving to Node #0,2
Current State: 35:[39, 22, 3], Operations: ['72-69=3']
Exploring Operation: 39/3=13, Resulting Numbers: [22, 13]
Generated Node #0,2,0: 35:[22, 13] Operation: 39/3=13
Moving to Node #0,2,0
Current State: 35:[22, 13], Operations: ['72-69=3', '39/3=13']
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694
|
hs_5
|
mult_heuristic
|
[
69,
54,
84,
51
] | 90
|
[
"69+54=123",
"84-51=33",
"123-33=90"
] |
Current State: 90:[69, 54, 84, 51], Operations: []
Exploring Operation: 69+54=123, Resulting Numbers: [84, 51, 123]
Generated Node #2: [84, 51, 123] from Operation: 69+54=123
Current State: 90:[84, 51, 123], Operations: ['69+54=123']
Exploring Operation: 84-51=33, Resulting Numbers: [123, 33]
Generated Node #3: [123, 33] from Operation: 84-51=33
Current State: 90:[123, 33], Operations: ['69+54=123', '84-51=33']
Exploring Operation: 123-33=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
Current State: 90:[69, 54, 84, 51], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [54, 84, 18]
Generated Node #0,0: 90:[54, 84, 18] Operation: 69-51=18
Exploring Operation: 54-51=3, Resulting Numbers: [69, 84, 3]
Generated Node #0,1: 90:[69, 84, 3] Operation: 54-51=3
Exploring Operation: 84-69=15, Resulting Numbers: [54, 51, 15]
Generated Node #0,2: 90:[54, 51, 15] Operation: 84-69=15
Exploring Operation: 84-54=30, Resulting Numbers: [69, 51, 30]
Generated Node #0,3: 90:[69, 51, 30] Operation: 84-54=30
Exploring Operation: 69-54=15, Resulting Numbers: [84, 51, 15]
Generated Node #0,4: 90:[84, 51, 15] Operation: 69-54=15
Start Sub Search at level 1: Moving to Node #0,4
Current State: 90:[84, 51, 15], Operations: ['69-54=15']
Exploring Operation: 84-51=33, Resulting Numbers: [15, 33]
Generated Node #0,4,0: 90:[15, 33] Operation: 84-51=33
Exploring Operation: 51+15=66, Resulting Numbers: [84, 66]
Generated Node #0,4,1: 90:[84, 66] Operation: 51+15=66
Exploring Operation: 51-15=36, Resulting Numbers: [84, 36]
Generated Node #0,4,2: 90:[84, 36] Operation: 51-15=36
Exploring Operation: 84+15=99, Resulting Numbers: [51, 99]
Generated Node #0,4,3: 90:[51, 99] Operation: 84+15=99
Exploring Operation: 84-15=69, Resulting Numbers: [51, 69]
Generated Node #0,4,4: 90:[51, 69] Operation: 84-15=69
Moving to Node #0,4,0
Current State: 90:[15, 33], Operations: ['69-54=15', '84-51=33']
Exploring Operation: 15+33=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 15*33=495, Resulting Numbers: [495]
495,90 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Moving to Node #0,4,2
Current State: 90:[84, 36], Operations: ['69-54=15', '51-15=36']
Exploring Operation: 84+36=120, Resulting Numbers: [120]
120,90 unequal: No Solution
Exploring Operation: 84*36=3024, Resulting Numbers: [3024]
3024,90 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Moving to Node #0,4,3
Current State: 90:[51, 99], Operations: ['69-54=15', '84+15=99']
Exploring Operation: 51+99=150, Resulting Numbers: [150]
150,90 unequal: No Solution
Exploring Operation: 99-51=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 51*99=5049, Resulting Numbers: [5049]
5049,90 unequal: No Solution
Moving to Node #0,4,1
Current State: 90:[84, 66], Operations: ['69-54=15', '51+15=66']
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 84*66=5544, Resulting Numbers: [5544]
5544,90 unequal: No Solution
Exploring Operation: 84+66=150, Resulting Numbers: [150]
150,90 unequal: No Solution
Moving to Node #0,4,4
Current State: 90:[51, 69], Operations: ['69-54=15', '84-15=69']
Exploring Operation: 69-51=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 51*69=3519, Resulting Numbers: [3519]
3519,90 unequal: No Solution
Exploring Operation: 51+69=120, Resulting Numbers: [120]
120,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[54, 84, 18], Operations: ['69-51=18']
Exploring Operation: 84+18=102, Resulting Numbers: [54, 102]
Generated Node #0,0,0: 90:[54, 102] Operation: 84+18=102
Exploring Operation: 54+18=72, Resulting Numbers: [84, 72]
Generated Node #0,0,1: 90:[84, 72] Operation: 54+18=72
Exploring Operation: 84-54=30, Resulting Numbers: [18, 30]
Generated Node #0,0,2: 90:[18, 30] Operation: 84-54=30
Exploring Operation: 54/18=3, Resulting Numbers: [84, 3]
Generated Node #0,0,3: 90:[84, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [84, 36]
Generated Node #0,0,4: 90:[84, 36] Operation: 54-18=36
Moving to Node #0,0,2
Current State: 90:[18, 30], Operations: ['69-51=18', '84-54=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[84, 3], Operations: ['69-51=18', '54/18=3']
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,90 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,90 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,90 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[84, 36], Operations: ['69-51=18', '54-18=36']
Exploring Operation: 84*36=3024, Resulting Numbers: [3024]
3024,90 unequal: No Solution
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 84+36=120, Resulting Numbers: [120]
120,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[54, 102], Operations: ['69-51=18', '84+18=102']
Exploring Operation: 102-54=48, Resulting Numbers: [48]
48,90 unequal: No Solution
Exploring Operation: 54*102=5508, Resulting Numbers: [5508]
5508,90 unequal: No Solution
Exploring Operation: 54+102=156, Resulting Numbers: [156]
156,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[84, 72], Operations: ['69-51=18', '54+18=72']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Exploring Operation: 84+72=156, Resulting Numbers: [156]
156,90 unequal: No Solution
Exploring Operation: 84*72=6048, Resulting Numbers: [6048]
6048,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[54, 51, 15], Operations: ['84-69=15']
Exploring Operation: 51-15=36, Resulting Numbers: [54, 36]
Generated Node #0,2,0: 90:[54, 36] Operation: 51-15=36
Exploring Operation: 54-15=39, Resulting Numbers: [51, 39]
Generated Node #0,2,1: 90:[51, 39] Operation: 54-15=39
Exploring Operation: 54+51=105, Resulting Numbers: [15, 105]
Generated Node #0,2,2: 90:[15, 105] Operation: 54+51=105
Exploring Operation: 54-51=3, Resulting Numbers: [15, 3]
Generated Node #0,2,3: 90:[15, 3] Operation: 54-51=3
Exploring Operation: 54+15=69, Resulting Numbers: [51, 69]
Generated Node #0,2,4: 90:[51, 69] Operation: 54+15=69
Moving to Node #0,2,3
Current State: 90:[15, 3], Operations: ['84-69=15', '54-51=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[51, 39], Operations: ['84-69=15', '54-15=39']
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[69, 54, 84, 51], Operations: []
Exploring Operation: 84-69=15, Resulting Numbers: [54, 51, 15]
Generated Node #0,2: 90:[54, 51, 15] Operation: 84-69=15
Moving to Node #0,2
Current State: 90:[54, 51, 15], Operations: ['84-69=15']
Exploring Operation: 54-15=39, Resulting Numbers: [51, 39]
Generated Node #0,2,1: 90:[51, 39] Operation: 54-15=39
Moving to Node #0,2,1
Current State: 90:[51, 39], Operations: ['84-69=15', '54-15=39']
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.947917
|
hs_5
|
mult_heuristic
|
[
90,
10,
66,
12
] | 36
|
[
"90+66=156",
"10*12=120",
"156-120=36"
] |
Current State: 36:[90, 10, 66, 12], Operations: []
Exploring Operation: 90+66=156, Resulting Numbers: [10, 12, 156]
Generated Node #2: [10, 12, 156] from Operation: 90+66=156
Current State: 36:[10, 12, 156], Operations: ['90+66=156']
Exploring Operation: 10*12=120, Resulting Numbers: [156, 120]
Generated Node #3: [156, 120] from Operation: 10*12=120
Current State: 36:[156, 120], Operations: ['90+66=156', '10*12=120']
Exploring Operation: 156-120=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[90, 10, 66, 12], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [10, 12, 24]
Generated Node #0,0: 36:[10, 12, 24] Operation: 90-66=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[10, 12, 24], Operations: ['90-66=24']
Exploring Operation: 12+24=36, Resulting Numbers: [10, 36]
Generated Node #0,0,0: 36:[10, 36] Operation: 12+24=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[10, 36], Operations: ['90-66=24', '12+24=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,36 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
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
67,
34,
72,
50
] | 24
|
[
"72-67=5",
"50/5=10",
"34-10=24"
] |
Current State: 24:[67, 34, 72, 50], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [34, 50, 5]
Generated Node #2: [34, 50, 5] from Operation: 72-67=5
Current State: 24:[34, 50, 5], Operations: ['72-67=5']
Exploring Operation: 50/5=10, Resulting Numbers: [34, 10]
Generated Node #3: [34, 10] from Operation: 50/5=10
Current State: 24:[34, 10], Operations: ['72-67=5', '50/5=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[67, 34, 72, 50], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [34, 50, 5]
Generated Node #0,0: 24:[34, 50, 5] Operation: 72-67=5
Exploring Operation: 72-50=22, Resulting Numbers: [67, 34, 22]
Generated Node #0,1: 24:[67, 34, 22] Operation: 72-50=22
Moving to Node #0,0
Current State: 24:[34, 50, 5], Operations: ['72-67=5']
Exploring Operation: 50/5=10, Resulting Numbers: [34, 10]
Generated Node #0,0,0: 24:[34, 10] Operation: 50/5=10
Exploring Operation: 50-34=16, Resulting Numbers: [5, 16]
Generated Node #0,0,1: 24:[5, 16] Operation: 50-34=16
Moving to Node #0,1
Current State: 24:[67, 34, 22], Operations: ['72-50=22']
Exploring Operation: 67-22=45, Resulting Numbers: [34, 45]
Generated Node #0,1,0: 24:[34, 45] Operation: 67-22=45
Exploring Operation: 67-34=33, Resulting Numbers: [22, 33]
Generated Node #0,1,1: 24:[22, 33] Operation: 67-34=33
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[22, 33], Operations: ['72-50=22', '67-34=33']
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,24 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[34, 45], Operations: ['72-50=22', '67-22=45']
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,24 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: 24:[5, 16], Operations: ['72-67=5', '50-34=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,24 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[34, 10], Operations: ['72-67=5', '50/5=10']
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[67, 34, 72, 50], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [34, 50, 5]
Generated Node #0,0: 24:[34, 50, 5] Operation: 72-67=5
Moving to Node #0,0
Current State: 24:[34, 50, 5], Operations: ['72-67=5']
Exploring Operation: 50/5=10, Resulting Numbers: [34, 10]
Generated Node #0,0,0: 24:[34, 10] Operation: 50/5=10
Moving to Node #0,0,0
Current State: 24:[34, 10], Operations: ['72-67=5', '50/5=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.984375
|
hs_2
|
mult_heuristic
|
[
71,
5,
12,
10
] | 77
|
[
"5*12=60",
"60/10=6",
"71+6=77"
] |
Current State: 77:[71, 5, 12, 10], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [71, 10, 60]
Generated Node #2: [71, 10, 60] from Operation: 5*12=60
Current State: 77:[71, 10, 60], Operations: ['5*12=60']
Exploring Operation: 60/10=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 60/10=6
Current State: 77:[71, 6], Operations: ['5*12=60', '60/10=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[71, 5, 12, 10], Operations: []
Exploring Operation: 71+5=76, Resulting Numbers: [12, 10, 76]
Generated Node #0,0: 77:[12, 10, 76] Operation: 71+5=76
Exploring Operation: 71+10=81, Resulting Numbers: [5, 12, 81]
Generated Node #0,1: 77:[5, 12, 81] Operation: 71+10=81
Moving to Node #0,0
Current State: 77:[12, 10, 76], Operations: ['71+5=76']
Exploring Operation: 10+76=86, Resulting Numbers: [12, 86]
Generated Node #0,0,0: 77:[12, 86] Operation: 10+76=86
Exploring Operation: 12-10=2, Resulting Numbers: [76, 2]
Generated Node #0,0,1: 77:[76, 2] Operation: 12-10=2
Moving to Node #0,1
Current State: 77:[5, 12, 81], Operations: ['71+10=81']
Exploring Operation: 12-5=7, Resulting Numbers: [81, 7]
Generated Node #0,1,0: 77:[81, 7] Operation: 12-5=7
Exploring Operation: 81-5=76, Resulting Numbers: [12, 76]
Generated Node #0,1,1: 77:[12, 76] Operation: 81-5=76
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[12, 76], Operations: ['71+10=81', '81-5=76']
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,77 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[81, 7], Operations: ['71+10=81', '12-5=7']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,77 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: 77:[76, 2], Operations: ['71+5=76', '12-10=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[12, 86], Operations: ['71+5=76', '10+76=86']
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 12+86=98, Resulting Numbers: [98]
98,77 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
54,
32,
25,
39
] | 86
|
[
"54-32=22",
"25+39=64",
"22+64=86"
] |
Current State: 86:[54, 32, 25, 39], Operations: []
Exploring Operation: 54-32=22, Resulting Numbers: [25, 39, 22]
Generated Node #2: [25, 39, 22] from Operation: 54-32=22
Current State: 86:[25, 39, 22], Operations: ['54-32=22']
Exploring Operation: 25+39=64, Resulting Numbers: [22, 64]
Generated Node #3: [22, 64] from Operation: 25+39=64
Current State: 86:[22, 64], Operations: ['54-32=22', '25+39=64']
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[54, 32, 25, 39], Operations: []
Exploring Operation: 54+32=86, Resulting Numbers: [25, 39, 86]
Generated Node #0,0: 86:[25, 39, 86] Operation: 54+32=86
Exploring Operation: 32-25=7, Resulting Numbers: [54, 39, 7]
Generated Node #0,1: 86:[54, 39, 7] Operation: 32-25=7
Exploring Operation: 54+25=79, Resulting Numbers: [32, 39, 79]
Generated Node #0,2: 86:[32, 39, 79] Operation: 54+25=79
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[54, 39, 7], Operations: ['32-25=7']
Exploring Operation: 39+7=46, Resulting Numbers: [54, 46]
Generated Node #0,1,0: 86:[54, 46] Operation: 39+7=46
Exploring Operation: 54-7=47, Resulting Numbers: [39, 47]
Generated Node #0,1,1: 86:[39, 47] Operation: 54-7=47
Exploring Operation: 54+39=93, Resulting Numbers: [7, 93]
Generated Node #0,1,2: 86:[7, 93] Operation: 54+39=93
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[39, 47], Operations: ['32-25=7', '54-7=47']
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 39+47=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[54, 32, 25, 39], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [54, 39, 7]
Generated Node #0,1: 86:[54, 39, 7] Operation: 32-25=7
Moving to Node #0,1
Current State: 86:[54, 39, 7], Operations: ['32-25=7']
Exploring Operation: 54-7=47, Resulting Numbers: [39, 47]
Generated Node #0,1,1: 86:[39, 47] Operation: 54-7=47
Moving to Node #0,1,1
Current State: 86:[39, 47], Operations: ['32-25=7', '54-7=47']
Exploring Operation: 39+47=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
mult_heuristic
|
[
45,
16,
2,
23
] | 75
|
[
"45-16=29",
"2*23=46",
"29+46=75"
] |
Current State: 75:[45, 16, 2, 23], Operations: []
Exploring Operation: 45-16=29, Resulting Numbers: [2, 23, 29]
Generated Node #2: [2, 23, 29] from Operation: 45-16=29
Current State: 75:[2, 23, 29], Operations: ['45-16=29']
Exploring Operation: 2*23=46, Resulting Numbers: [29, 46]
Generated Node #3: [29, 46] from Operation: 2*23=46
Current State: 75:[29, 46], Operations: ['45-16=29', '2*23=46']
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[45, 16, 2, 23], Operations: []
Exploring Operation: 45+23=68, Resulting Numbers: [16, 2, 68]
Generated Node #0,0: 75:[16, 2, 68] Operation: 45+23=68
Exploring Operation: 45-16=29, Resulting Numbers: [2, 23, 29]
Generated Node #0,1: 75:[2, 23, 29] Operation: 45-16=29
Exploring Operation: 45+16=61, Resulting Numbers: [2, 23, 61]
Generated Node #0,2: 75:[2, 23, 61] Operation: 45+16=61
Exploring Operation: 45-23=22, Resulting Numbers: [16, 2, 22]
Generated Node #0,3: 75:[16, 2, 22] Operation: 45-23=22
Exploring Operation: 45*2=90, Resulting Numbers: [16, 23, 90]
Generated Node #0,4: 75:[16, 23, 90] Operation: 45*2=90
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[16, 2, 22], Operations: ['45-23=22']
Exploring Operation: 2+22=24, Resulting Numbers: [16, 24]
Generated Node #0,3,0: 75:[16, 24] Operation: 2+22=24
Exploring Operation: 16+2=18, Resulting Numbers: [22, 18]
Generated Node #0,3,1: 75:[22, 18] Operation: 16+2=18
Exploring Operation: 16-2=14, Resulting Numbers: [22, 14]
Generated Node #0,3,2: 75:[22, 14] Operation: 16-2=14
Exploring Operation: 22/2=11, Resulting Numbers: [16, 11]
Generated Node #0,3,3: 75:[16, 11] Operation: 22/2=11
Exploring Operation: 22-16=6, Resulting Numbers: [2, 6]
Generated Node #0,3,4: 75:[2, 6] Operation: 22-16=6
Moving to Node #0,3,0
Current State: 75:[16, 24], Operations: ['45-23=22', '2+22=24']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,75 unequal: No Solution
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Moving to Node #0,3,4
Current State: 75:[2, 6], Operations: ['45-23=22', '22-16=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[22, 14], Operations: ['45-23=22', '16-2=14']
Exploring Operation: 22*14=308, Resulting Numbers: [308]
308,75 unequal: No Solution
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[16, 11], Operations: ['45-23=22', '22/2=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,75 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[22, 18], Operations: ['45-23=22', '16+2=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,75 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,75 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:[2, 23, 29], Operations: ['45-16=29']
Exploring Operation: 2+23=25, Resulting Numbers: [29, 25]
Generated Node #0,1,0: 75:[29, 25] Operation: 2+23=25
Exploring Operation: 23-2=21, Resulting Numbers: [29, 21]
Generated Node #0,1,1: 75:[29, 21] Operation: 23-2=21
Exploring Operation: 29-2=27, Resulting Numbers: [23, 27]
Generated Node #0,1,2: 75:[23, 27] Operation: 29-2=27
Exploring Operation: 29-23=6, Resulting Numbers: [2, 6]
Generated Node #0,1,3: 75:[2, 6] Operation: 29-23=6
Exploring Operation: 2+29=31, Resulting Numbers: [23, 31]
Generated Node #0,1,4: 75:[23, 31] Operation: 2+29=31
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 75:[2, 6], Operations: ['45-16=29', '29-23=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No 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: 75:[29, 25], Operations: ['45-16=29', '2+23=25']
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,75 unequal: No Solution
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,75 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No 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: 75:[23, 27], Operations: ['45-16=29', '29-2=27']
Exploring Operation: 23*27=621, Resulting Numbers: [621]
621,75 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,75 unequal: No Solution
No 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: 75:[29, 21], Operations: ['45-16=29', '23-2=21']
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,75 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,75 unequal: No Solution
No 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: 75:[23, 31], Operations: ['45-16=29', '2+29=31']
Exploring Operation: 23+31=54, Resulting Numbers: [54]
54,75 unequal: No Solution
Exploring Operation: 23*31=713, Resulting Numbers: [713]
713,75 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[16, 2, 68], Operations: ['45+23=68']
Exploring Operation: 2+68=70, Resulting Numbers: [16, 70]
Generated Node #0,0,0: 75:[16, 70] Operation: 2+68=70
Exploring Operation: 16-2=14, Resulting Numbers: [68, 14]
Generated Node #0,0,1: 75:[68, 14] Operation: 16-2=14
Exploring Operation: 16+2=18, Resulting Numbers: [68, 18]
Generated Node #0,0,2: 75:[68, 18] Operation: 16+2=18
Exploring Operation: 16/2=8, Resulting Numbers: [68, 8]
Generated Node #0,0,3: 75:[68, 8] Operation: 16/2=8
Exploring Operation: 16+68=84, Resulting Numbers: [2, 84]
Generated Node #0,0,4: 75:[2, 84] Operation: 16+68=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[16, 70], Operations: ['45+23=68', '2+68=70']
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,75 unequal: No Solution
Exploring Operation: 16+70=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 16*70=1120, Resulting Numbers: [1120]
1120,75 unequal: No Solution
No 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: 75:[68, 14], Operations: ['45+23=68', '16-2=14']
Exploring Operation: 68*14=952, Resulting Numbers: [952]
952,75 unequal: No Solution
Exploring Operation: 68+14=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,75 unequal: No Solution
No 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: 75:[68, 18], Operations: ['45+23=68', '16+2=18']
Exploring Operation: 68*18=1224, Resulting Numbers: [1224]
1224,75 unequal: No Solution
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,75 unequal: No Solution
No 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: 75:[68, 8], Operations: ['45+23=68', '16/2=8']
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,75 unequal: No Solution
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 68*8=544, Resulting Numbers: [544]
544,75 unequal: No Solution
No 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: 75:[2, 84], Operations: ['45+23=68', '16+68=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[2, 23, 61], Operations: ['45+16=61']
Exploring Operation: 23+61=84, Resulting Numbers: [2, 84]
Generated Node #0,2,0: 75:[2, 84] Operation: 23+61=84
Exploring Operation: 2+23=25, Resulting Numbers: [61, 25]
Generated Node #0,2,1: 75:[61, 25] Operation: 2+23=25
Exploring Operation: 23-2=21, Resulting Numbers: [61, 21]
Generated Node #0,2,2: 75:[61, 21] Operation: 23-2=21
Exploring Operation: 61-23=38, Resulting Numbers: [2, 38]
Generated Node #0,2,3: 75:[2, 38] Operation: 61-23=38
Exploring Operation: 2+61=63, Resulting Numbers: [23, 63]
Generated Node #0,2,4: 75:[23, 63] Operation: 2+61=63
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[2, 84], Operations: ['45+16=61', '23+61=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,75 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,75 unequal: No Solution
No 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: 75:[61, 25], Operations: ['45+16=61', '2+23=25']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 61*25=1525, Resulting Numbers: [1525]
1525,75 unequal: No Solution
Exploring Operation: 61+25=86, Resulting Numbers: [86]
86,75 unequal: No Solution
No 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: 75:[2, 38], Operations: ['45+16=61', '61-23=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,75 unequal: No Solution
No 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: 75:[23, 63], Operations: ['45+16=61', '2+61=63']
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,75 unequal: No Solution
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,75 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,75 unequal: No Solution
No 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: 75:[61, 21], Operations: ['45+16=61', '23-2=21']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 61*21=1281, Resulting Numbers: [1281]
1281,75 unequal: No Solution
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 75:[16, 23, 90], Operations: ['45*2=90']
Exploring Operation: 16+23=39, Resulting Numbers: [90, 39]
Generated Node #0,4,0: 75:[90, 39] Operation: 16+23=39
Exploring Operation: 23-16=7, Resulting Numbers: [90, 7]
Generated Node #0,4,1: 75:[90, 7] Operation: 23-16=7
Exploring Operation: 90-23=67, Resulting Numbers: [16, 67]
Generated Node #0,4,2: 75:[16, 67] Operation: 90-23=67
Exploring Operation: 16+90=106, Resulting Numbers: [23, 106]
Generated Node #0,4,3: 75:[23, 106] Operation: 16+90=106
Exploring Operation: 90-16=74, Resulting Numbers: [23, 74]
Generated Node #0,4,4: 75:[23, 74] Operation: 90-16=74
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 75:[23, 74], Operations: ['45*2=90', '90-16=74']
Exploring Operation: 23*74=1702, Resulting Numbers: [1702]
1702,75 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 23+74=97, Resulting Numbers: [97]
97,75 unequal: No Solution
No 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: 75:[16, 67], Operations: ['45*2=90', '90-23=67']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 16+67=83, Resulting Numbers: [83]
83,75 unequal: No Solution
Exploring Operation: 16*67=1072, Resulting Numbers: [1072]
1072,75 unequal: No Solution
No 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: 75:[90, 7], Operations: ['45*2=90', '23-16=7']
Exploring Operation: 90*7=630, Resulting Numbers: [630]
630,75 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,75 unequal: No Solution
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 75:[90, 39], Operations: ['45*2=90', '16+23=39']
Exploring Operation: 90+39=129, Resulting Numbers: [129]
129,75 unequal: No Solution
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 90*39=3510, Resulting Numbers: [3510]
3510,75 unequal: No Solution
No 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: 75:[23, 106], Operations: ['45*2=90', '16+90=106']
Exploring Operation: 106-23=83, Resulting Numbers: [83]
83,75 unequal: No Solution
Exploring Operation: 23*106=2438, Resulting Numbers: [2438]
2438,75 unequal: No Solution
Exploring Operation: 23+106=129, Resulting Numbers: [129]
129,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
33,
37,
23,
24
] | 23
|
[
"33+37=70",
"23+24=47",
"70-47=23"
] |
Current State: 23:[33, 37, 23, 24], Operations: []
Exploring Operation: 33+37=70, Resulting Numbers: [23, 24, 70]
Generated Node #2: [23, 24, 70] from Operation: 33+37=70
Current State: 23:[23, 24, 70], Operations: ['33+37=70']
Exploring Operation: 23+24=47, Resulting Numbers: [70, 47]
Generated Node #3: [70, 47] from Operation: 23+24=47
Current State: 23:[70, 47], Operations: ['33+37=70', '23+24=47']
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
Current State: 23:[33, 37, 23, 24], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [23, 24, 4]
Generated Node #0,0: 23:[23, 24, 4] Operation: 37-33=4
Moving to Node #0,0
Current State: 23:[23, 24, 4], Operations: ['37-33=4']
Exploring Operation: 24-4=20, Resulting Numbers: [23, 20]
Generated Node #0,0,0: 23:[23, 20] Operation: 24-4=20
Moving to Node #0,0,0
Current State: 23:[23, 20], Operations: ['37-33=4', '24-4=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,23 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
30,
79,
89,
23
] | 26
|
[
"89-79=10",
"30/10=3",
"23+3=26"
] |
Current State: 26:[30, 79, 89, 23], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [30, 23, 10]
Generated Node #2: [30, 23, 10] from Operation: 89-79=10
Current State: 26:[30, 23, 10], Operations: ['89-79=10']
Exploring Operation: 30/10=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 30/10=3
Current State: 26:[23, 3], Operations: ['89-79=10', '30/10=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
Current State: 26:[30, 79, 89, 23], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [30, 23, 10]
Generated Node #0,0: 26:[30, 23, 10] Operation: 89-79=10
Exploring Operation: 79-30=49, Resulting Numbers: [89, 23, 49]
Generated Node #0,1: 26:[89, 23, 49] Operation: 79-30=49
Exploring Operation: 89-30=59, Resulting Numbers: [79, 23, 59]
Generated Node #0,2: 26:[79, 23, 59] Operation: 89-30=59
Moving to Node #0,0
Current State: 26:[30, 23, 10], Operations: ['89-79=10']
Exploring Operation: 30-23=7, Resulting Numbers: [10, 7]
Generated Node #0,0,0: 26:[10, 7] Operation: 30-23=7
Exploring Operation: 30/10=3, Resulting Numbers: [23, 3]
Generated Node #0,0,1: 26:[23, 3] Operation: 30/10=3
Exploring Operation: 23-10=13, Resulting Numbers: [30, 13]
Generated Node #0,0,2: 26:[30, 13] Operation: 23-10=13
Moving to Node #0,1
Current State: 26:[89, 23, 49], Operations: ['79-30=49']
Exploring Operation: 89-23=66, Resulting Numbers: [49, 66]
Generated Node #0,1,0: 26:[49, 66] Operation: 89-23=66
Exploring Operation: 89-49=40, Resulting Numbers: [23, 40]
Generated Node #0,1,1: 26:[23, 40] Operation: 89-49=40
Exploring Operation: 49-23=26, Resulting Numbers: [89, 26]
Generated Node #0,1,2: 26:[89, 26] Operation: 49-23=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[23, 40], Operations: ['79-30=49', '89-49=40']
Exploring Operation: 23*40=920, Resulting Numbers: [920]
920,26 unequal: No Solution
Exploring Operation: 23+40=63, Resulting Numbers: [63]
63,26 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,26 unequal: No Solution
No 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: 26:[49, 66], Operations: ['79-30=49', '89-23=66']
Exploring Operation: 49+66=115, Resulting Numbers: [115]
115,26 unequal: No Solution
Exploring Operation: 49*66=3234, Resulting Numbers: [3234]
3234,26 unequal: No Solution
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,26 unequal: No Solution
No 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: 26:[89, 26], Operations: ['79-30=49', '49-23=26']
Exploring Operation: 89*26=2314, Resulting Numbers: [2314]
2314,26 unequal: No Solution
Exploring Operation: 89+26=115, Resulting Numbers: [115]
115,26 unequal: No Solution
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,26 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: 26:[79, 23, 59], Operations: ['89-30=59']
Exploring Operation: 79-59=20, Resulting Numbers: [23, 20]
Generated Node #0,2,0: 26:[23, 20] Operation: 79-59=20
Exploring Operation: 59-23=36, Resulting Numbers: [79, 36]
Generated Node #0,2,1: 26:[79, 36] Operation: 59-23=36
Exploring Operation: 79-23=56, Resulting Numbers: [59, 56]
Generated Node #0,2,2: 26:[59, 56] Operation: 79-23=56
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[23, 20], Operations: ['89-30=59', '79-59=20']
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,26 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,26 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,26 unequal: No Solution
No 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: 26:[79, 36], Operations: ['89-30=59', '59-23=36']
Exploring Operation: 79+36=115, Resulting Numbers: [115]
115,26 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,26 unequal: No Solution
Exploring Operation: 79*36=2844, Resulting Numbers: [2844]
2844,26 unequal: No Solution
No 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: 26:[59, 56], Operations: ['89-30=59', '79-23=56']
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,26 unequal: No Solution
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,26 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: 26:[23, 3], Operations: ['89-79=10', '30/10=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[30, 79, 89, 23], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [30, 23, 10]
Generated Node #0,0: 26:[30, 23, 10] Operation: 89-79=10
Moving to Node #0,0
Current State: 26:[30, 23, 10], Operations: ['89-79=10']
Exploring Operation: 30/10=3, Resulting Numbers: [23, 3]
Generated Node #0,0,1: 26:[23, 3] Operation: 30/10=3
Moving to Node #0,0,1
Current State: 26:[23, 3], Operations: ['89-79=10', '30/10=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.969618
|
hs_3
|
sum_heuristic
|
[
58,
14,
4,
42
] | 51
|
[
"58-4=54",
"42/14=3",
"54-3=51"
] |
Current State: 51:[58, 14, 4, 42], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [14, 42, 54]
Generated Node #2: [14, 42, 54] from Operation: 58-4=54
Current State: 51:[14, 42, 54], Operations: ['58-4=54']
Exploring Operation: 42/14=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 42/14=3
Current State: 51:[54, 3], Operations: ['58-4=54', '42/14=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
Current State: 51:[58, 14, 4, 42], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [14, 4, 16]
Generated Node #0,0: 51:[14, 4, 16] Operation: 58-42=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[14, 4, 16], Operations: ['58-42=16']
Exploring Operation: 14+4=18, Resulting Numbers: [16, 18]
Generated Node #0,0,0: 51:[16, 18] Operation: 14+4=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[16, 18], Operations: ['58-42=16', '14+4=18']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
44,
60,
99,
2
] | 49
|
[
"44*2=88",
"99-60=39",
"88-39=49"
] |
Current State: 49:[44, 60, 99, 2], Operations: []
Exploring Operation: 44*2=88, Resulting Numbers: [60, 99, 88]
Generated Node #2: [60, 99, 88] from Operation: 44*2=88
Current State: 49:[60, 99, 88], Operations: ['44*2=88']
Exploring Operation: 99-60=39, Resulting Numbers: [88, 39]
Generated Node #3: [88, 39] from Operation: 99-60=39
Current State: 49:[88, 39], Operations: ['44*2=88', '99-60=39']
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[44, 60, 99, 2], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [44, 2, 39]
Generated Node #0,0: 49:[44, 2, 39] Operation: 99-60=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[44, 2, 39], Operations: ['99-60=39']
Exploring Operation: 44-39=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 49:[2, 5] Operation: 44-39=5
Moving to Node #0,0,0
Current State: 49:[2, 5], Operations: ['99-60=39', '44-39=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,49 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
|
[
7,
77,
25,
65
] | 91
|
[
"77-25=52",
"65-52=13",
"7*13=91"
] |
Current State: 91:[7, 77, 25, 65], Operations: []
Exploring Operation: 77-25=52, Resulting Numbers: [7, 65, 52]
Generated Node #2: [7, 65, 52] from Operation: 77-25=52
Current State: 91:[7, 65, 52], Operations: ['77-25=52']
Exploring Operation: 65-52=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 65-52=13
Current State: 91:[7, 13], Operations: ['77-25=52', '65-52=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
Current State: 91:[7, 77, 25, 65], Operations: []
Exploring Operation: 25+65=90, Resulting Numbers: [7, 77, 90]
Generated Node #0,0: 91:[7, 77, 90] Operation: 25+65=90
Exploring Operation: 77-65=12, Resulting Numbers: [7, 25, 12]
Generated Node #0,1: 91:[7, 25, 12] Operation: 77-65=12
Exploring Operation: 77+25=102, Resulting Numbers: [7, 65, 102]
Generated Node #0,2: 91:[7, 65, 102] Operation: 77+25=102
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[7, 25, 12], Operations: ['77-65=12']
Exploring Operation: 25-7=18, Resulting Numbers: [12, 18]
Generated Node #0,1,0: 91:[12, 18] Operation: 25-7=18
Exploring Operation: 25-12=13, Resulting Numbers: [7, 13]
Generated Node #0,1,1: 91:[7, 13] Operation: 25-12=13
Exploring Operation: 12-7=5, Resulting Numbers: [25, 5]
Generated Node #0,1,2: 91:[25, 5] Operation: 12-7=5
Moving to Node #0,1,1
Current State: 91:[7, 13], Operations: ['77-65=12', '25-12=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[7, 77, 25, 65], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [7, 25, 12]
Generated Node #0,1: 91:[7, 25, 12] Operation: 77-65=12
Moving to Node #0,1
Current State: 91:[7, 25, 12], Operations: ['77-65=12']
Exploring Operation: 25-12=13, Resulting Numbers: [7, 13]
Generated Node #0,1,1: 91:[7, 13] Operation: 25-12=13
Moving to Node #0,1,1
Current State: 91:[7, 13], Operations: ['77-65=12', '25-12=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
sum_heuristic
|
[
45,
88,
61,
18
] | 44
|
[
"61-45=16",
"18-16=2",
"88/2=44"
] |
Current State: 44:[45, 88, 61, 18], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [88, 18, 16]
Generated Node #2: [88, 18, 16] from Operation: 61-45=16
Current State: 44:[88, 18, 16], Operations: ['61-45=16']
Exploring Operation: 18-16=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 18-16=2
Current State: 44:[88, 2], Operations: ['61-45=16', '18-16=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
Current State: 44:[45, 88, 61, 18], Operations: []
Exploring Operation: 88-61=27, Resulting Numbers: [45, 18, 27]
Generated Node #0,0: 44:[45, 18, 27] Operation: 88-61=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[45, 18, 27], Operations: ['88-61=27']
Exploring Operation: 18+27=45, Resulting Numbers: [45, 45]
Generated Node #0,0,0: 44:[45, 45] Operation: 18+27=45
Moving to Node #0,0,0
Current State: 44:[45, 45], Operations: ['88-61=27', '18+27=45']
Exploring Operation: 45/45=1, Resulting Numbers: [1]
1,44 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
|
[
56,
20,
80,
52
] | 16
|
[
"56-52=4",
"80/20=4",
"4*4=16"
] |
Current State: 16:[56, 20, 80, 52], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [20, 80, 4]
Generated Node #2: [20, 80, 4] from Operation: 56-52=4
Current State: 16:[20, 80, 4], Operations: ['56-52=4']
Exploring Operation: 80/20=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 80/20=4
Current State: 16:[4, 4], Operations: ['56-52=4', '80/20=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
Current State: 16:[56, 20, 80, 52], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [20, 52, 24]
Generated Node #0,0: 16:[20, 52, 24] Operation: 80-56=24
Exploring Operation: 56-52=4, Resulting Numbers: [20, 80, 4]
Generated Node #0,1: 16:[20, 80, 4] Operation: 56-52=4
Exploring Operation: 80-52=28, Resulting Numbers: [56, 20, 28]
Generated Node #0,2: 16:[56, 20, 28] Operation: 80-52=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[20, 52, 24], Operations: ['80-56=24']
Exploring Operation: 52-24=28, Resulting Numbers: [20, 28]
Generated Node #0,0,0: 16:[20, 28] Operation: 52-24=28
Exploring Operation: 52-20=32, Resulting Numbers: [24, 32]
Generated Node #0,0,1: 16:[24, 32] Operation: 52-20=32
Exploring Operation: 24-20=4, Resulting Numbers: [52, 4]
Generated Node #0,0,2: 16:[52, 4] Operation: 24-20=4
Moving to Node #0,0,0
Current State: 16:[20, 28], Operations: ['80-56=24', '52-24=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,16 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[24, 32], Operations: ['80-56=24', '52-20=32']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,16 unequal: No Solution
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[52, 4], Operations: ['80-56=24', '24-20=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,16 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 #0,2
Current State: 16:[56, 20, 28], Operations: ['80-52=28']
Exploring Operation: 56-20=36, Resulting Numbers: [28, 36]
Generated Node #0,2,0: 16:[28, 36] Operation: 56-20=36
Exploring Operation: 56-28=28, Resulting Numbers: [20, 28]
Generated Node #0,2,1: 16:[20, 28] Operation: 56-28=28
Exploring Operation: 56/28=2, Resulting Numbers: [20, 2]
Generated Node #0,2,2: 16:[20, 2] Operation: 56/28=2
Moving to Node #0,2,2
Current State: 16:[20, 2], Operations: ['80-52=28', '56/28=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,16 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[20, 28], Operations: ['80-52=28', '56-28=28']
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,16 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[28, 36], Operations: ['80-52=28', '56-20=36']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,16 unequal: No Solution
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[20, 80, 4], Operations: ['56-52=4']
Exploring Operation: 80/20=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 16:[4, 4] Operation: 80/20=4
Exploring Operation: 80/4=20, Resulting Numbers: [20, 20]
Generated Node #0,1,1: 16:[20, 20] Operation: 80/4=20
Exploring Operation: 80-20=60, Resulting Numbers: [4, 60]
Generated Node #0,1,2: 16:[4, 60] Operation: 80-20=60
Moving to Node #0,1,0
Current State: 16:[4, 4], Operations: ['56-52=4', '80/20=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[56, 20, 80, 52], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [20, 80, 4]
Generated Node #0,1: 16:[20, 80, 4] Operation: 56-52=4
Moving to Node #0,1
Current State: 16:[20, 80, 4], Operations: ['56-52=4']
Exploring Operation: 80/20=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 16:[4, 4] Operation: 80/20=4
Moving to Node #0,1,0
Current State: 16:[4, 4], Operations: ['56-52=4', '80/20=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875
|
hs_3
|
mult_heuristic
|
[
7,
21,
47,
63
] | 35
|
[
"63/7=9",
"47-21=26",
"9+26=35"
] |
Current State: 35:[7, 21, 47, 63], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [21, 47, 9]
Generated Node #2: [21, 47, 9] from Operation: 63/7=9
Current State: 35:[21, 47, 9], Operations: ['63/7=9']
Exploring Operation: 47-21=26, Resulting Numbers: [9, 26]
Generated Node #3: [9, 26] from Operation: 47-21=26
Current State: 35:[9, 26], Operations: ['63/7=9', '47-21=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[7, 21, 47, 63], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [7, 47, 42]
Generated Node #0,0: 35:[7, 47, 42] Operation: 63-21=42
Exploring Operation: 63/7=9, Resulting Numbers: [21, 47, 9]
Generated Node #0,1: 35:[21, 47, 9] Operation: 63/7=9
Exploring Operation: 63-47=16, Resulting Numbers: [7, 21, 16]
Generated Node #0,2: 35:[7, 21, 16] Operation: 63-47=16
Exploring Operation: 63/21=3, Resulting Numbers: [7, 47, 3]
Generated Node #0,3: 35:[7, 47, 3] Operation: 63/21=3
Exploring Operation: 47-21=26, Resulting Numbers: [7, 63, 26]
Generated Node #0,4: 35:[7, 63, 26] Operation: 47-21=26
Moving to Node #0,3
Current State: 35:[7, 47, 3], Operations: ['63/21=3']
Exploring Operation: 47-7=40, Resulting Numbers: [3, 40]
Generated Node #0,3,0: 35:[3, 40] Operation: 47-7=40
Exploring Operation: 7-3=4, Resulting Numbers: [47, 4]
Generated Node #0,3,1: 35:[47, 4] Operation: 7-3=4
Exploring Operation: 7+3=10, Resulting Numbers: [47, 10]
Generated Node #0,3,2: 35:[47, 10] Operation: 7+3=10
Exploring Operation: 47+3=50, Resulting Numbers: [7, 50]
Generated Node #0,3,3: 35:[7, 50] Operation: 47+3=50
Exploring Operation: 47-3=44, Resulting Numbers: [7, 44]
Generated Node #0,3,4: 35:[7, 44] Operation: 47-3=44
Moving to Node #0,0
Current State: 35:[7, 47, 42], Operations: ['63-21=42']
Exploring Operation: 47-42=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 35:[7, 5] Operation: 47-42=5
Exploring Operation: 42/7=6, Resulting Numbers: [47, 6]
Generated Node #0,0,1: 35:[47, 6] Operation: 42/7=6
Exploring Operation: 42-7=35, Resulting Numbers: [47, 35]
Generated Node #0,0,2: 35:[47, 35] Operation: 42-7=35
Exploring Operation: 47-7=40, Resulting Numbers: [42, 40]
Generated Node #0,0,3: 35:[42, 40] Operation: 47-7=40
Exploring Operation: 7+47=54, Resulting Numbers: [42, 54]
Generated Node #0,0,4: 35:[42, 54] Operation: 7+47=54
Moving to Node #0,2
Current State: 35:[7, 21, 16], Operations: ['63-47=16']
Exploring Operation: 21-7=14, Resulting Numbers: [16, 14]
Generated Node #0,2,0: 35:[16, 14] Operation: 21-7=14
Exploring Operation: 21-16=5, Resulting Numbers: [7, 5]
Generated Node #0,2,1: 35:[7, 5] Operation: 21-16=5
Exploring Operation: 21+16=37, Resulting Numbers: [7, 37]
Generated Node #0,2,2: 35:[7, 37] Operation: 21+16=37
Exploring Operation: 21/7=3, Resulting Numbers: [16, 3]
Generated Node #0,2,3: 35:[16, 3] Operation: 21/7=3
Exploring Operation: 7+21=28, Resulting Numbers: [16, 28]
Generated Node #0,2,4: 35:[16, 28] Operation: 7+21=28
Moving to Node #0,1
Current State: 35:[21, 47, 9], Operations: ['63/7=9']
Exploring Operation: 21+9=30, Resulting Numbers: [47, 30]
Generated Node #0,1,0: 35:[47, 30] Operation: 21+9=30
Exploring Operation: 47-21=26, Resulting Numbers: [9, 26]
Generated Node #0,1,1: 35:[9, 26] Operation: 47-21=26
Exploring Operation: 47-9=38, Resulting Numbers: [21, 38]
Generated Node #0,1,2: 35:[21, 38] Operation: 47-9=38
Exploring Operation: 21+47=68, Resulting Numbers: [9, 68]
Generated Node #0,1,3: 35:[9, 68] Operation: 21+47=68
Exploring Operation: 21-9=12, Resulting Numbers: [47, 12]
Generated Node #0,1,4: 35:[47, 12] Operation: 21-9=12
Moving to Node #0,4
Current State: 35:[7, 63, 26], Operations: ['47-21=26']
Exploring Operation: 63/7=9, Resulting Numbers: [26, 9]
Generated Node #0,4,0: 35:[26, 9] Operation: 63/7=9
Exploring Operation: 63-26=37, Resulting Numbers: [7, 37]
Generated Node #0,4,1: 35:[7, 37] Operation: 63-26=37
Exploring Operation: 26-7=19, Resulting Numbers: [63, 19]
Generated Node #0,4,2: 35:[63, 19] Operation: 26-7=19
Exploring Operation: 7+26=33, Resulting Numbers: [63, 33]
Generated Node #0,4,3: 35:[63, 33] Operation: 7+26=33
Exploring Operation: 63-7=56, Resulting Numbers: [26, 56]
Generated Node #0,4,4: 35:[26, 56] Operation: 63-7=56
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 35:[7, 37], Operations: ['47-21=26', '63-26=37']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,35 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 35:[26, 9], Operations: ['47-21=26', '63/7=9']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,35 unequal: No Solution
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[7, 21, 47, 63], Operations: []
Exploring Operation: 47-21=26, Resulting Numbers: [7, 63, 26]
Generated Node #0,4: 35:[7, 63, 26] Operation: 47-21=26
Moving to Node #0,4
Current State: 35:[7, 63, 26], Operations: ['47-21=26']
Exploring Operation: 63/7=9, Resulting Numbers: [26, 9]
Generated Node #0,4,0: 35:[26, 9] Operation: 63/7=9
Moving to Node #0,4,0
Current State: 35:[26, 9], Operations: ['47-21=26', '63/7=9']
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146
|
hs_5
|
mult_heuristic
|
[
8,
82,
58,
58
] | 74
|
[
"82-8=74",
"58-58=0",
"74+0=74"
] |
Current State: 74:[8, 82, 58, 58], Operations: []
Exploring Operation: 82-8=74, Resulting Numbers: [58, 58, 74]
Generated Node #2: [58, 58, 74] from Operation: 82-8=74
Current State: 74:[58, 58, 74], Operations: ['82-8=74']
Exploring Operation: 58-58=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 58-58=0
Current State: 74:[74, 0], Operations: ['82-8=74', '58-58=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[8, 82, 58, 58], Operations: []
Exploring Operation: 8+58=66, Resulting Numbers: [82, 58, 66]
Generated Node #0,0: 74:[82, 58, 66] Operation: 8+58=66
Exploring Operation: 8+58=66, Resulting Numbers: [82, 58, 66]
Generated Node #0,1: 74:[82, 58, 66] Operation: 8+58=66
Exploring Operation: 82-8=74, Resulting Numbers: [58, 58, 74]
Generated Node #0,2: 74:[58, 58, 74] Operation: 82-8=74
Exploring Operation: 58-58=0, Resulting Numbers: [8, 82, 0]
Generated Node #0,3: 74:[8, 82, 0] Operation: 58-58=0
Exploring Operation: 58/58=1, Resulting Numbers: [8, 82, 1]
Generated Node #0,4: 74:[8, 82, 1] Operation: 58/58=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 74:[8, 82, 1], Operations: ['58/58=1']
Exploring Operation: 82-8=74, Resulting Numbers: [1, 74]
Generated Node #0,4,0: 74:[1, 74] Operation: 82-8=74
Exploring Operation: 8/1=8, Resulting Numbers: [82, 8]
Generated Node #0,4,1: 74:[82, 8] Operation: 8/1=8
Exploring Operation: 8*1=8, Resulting Numbers: [82, 8]
Generated Node #0,4,2: 74:[82, 8] Operation: 8*1=8
Exploring Operation: 8-1=7, Resulting Numbers: [82, 7]
Generated Node #0,4,3: 74:[82, 7] Operation: 8-1=7
Exploring Operation: 82-1=81, Resulting Numbers: [8, 81]
Generated Node #0,4,4: 74:[8, 81] Operation: 82-1=81
Moving to Node #0,4,0
Current State: 74:[1, 74], Operations: ['58/58=1', '82-8=74']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[8, 82, 58, 58], Operations: []
Exploring Operation: 58/58=1, Resulting Numbers: [8, 82, 1]
Generated Node #0,4: 74:[8, 82, 1] Operation: 58/58=1
Moving to Node #0,4
Current State: 74:[8, 82, 1], Operations: ['58/58=1']
Exploring Operation: 82-8=74, Resulting Numbers: [1, 74]
Generated Node #0,4,0: 74:[1, 74] Operation: 82-8=74
Moving to Node #0,4,0
Current State: 74:[1, 74], Operations: ['58/58=1', '82-8=74']
Exploring Operation: 1*74=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
mult_heuristic
|
[
27,
64,
99,
70
] | 66
|
[
"64-27=37",
"99-70=29",
"37+29=66"
] |
Current State: 66:[27, 64, 99, 70], Operations: []
Exploring Operation: 64-27=37, Resulting Numbers: [99, 70, 37]
Generated Node #2: [99, 70, 37] from Operation: 64-27=37
Current State: 66:[99, 70, 37], Operations: ['64-27=37']
Exploring Operation: 99-70=29, Resulting Numbers: [37, 29]
Generated Node #3: [37, 29] from Operation: 99-70=29
Current State: 66:[37, 29], Operations: ['64-27=37', '99-70=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
Current State: 66:[27, 64, 99, 70], Operations: []
Exploring Operation: 99-27=72, Resulting Numbers: [64, 70, 72]
Generated Node #0,0: 66:[64, 70, 72] Operation: 99-27=72
Exploring Operation: 99-70=29, Resulting Numbers: [27, 64, 29]
Generated Node #0,1: 66:[27, 64, 29] Operation: 99-70=29
Exploring Operation: 64-27=37, Resulting Numbers: [99, 70, 37]
Generated Node #0,2: 66:[99, 70, 37] Operation: 64-27=37
Exploring Operation: 99-64=35, Resulting Numbers: [27, 70, 35]
Generated Node #0,3: 66:[27, 70, 35] Operation: 99-64=35
Exploring Operation: 70-64=6, Resulting Numbers: [27, 99, 6]
Generated Node #0,4: 66:[27, 99, 6] Operation: 70-64=6
Moving to Node #0,1
Current State: 66:[27, 64, 29], Operations: ['99-70=29']
Exploring Operation: 64-29=35, Resulting Numbers: [27, 35]
Generated Node #0,1,0: 66:[27, 35] Operation: 64-29=35
Exploring Operation: 64-27=37, Resulting Numbers: [29, 37]
Generated Node #0,1,1: 66:[29, 37] Operation: 64-27=37
Exploring Operation: 29-27=2, Resulting Numbers: [64, 2]
Generated Node #0,1,2: 66:[64, 2] Operation: 29-27=2
Exploring Operation: 27+64=91, Resulting Numbers: [29, 91]
Generated Node #0,1,3: 66:[29, 91] Operation: 27+64=91
Exploring Operation: 27+29=56, Resulting Numbers: [64, 56]
Generated Node #0,1,4: 66:[64, 56] Operation: 27+29=56
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[64, 2], Operations: ['99-70=29', '29-27=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[27, 64, 99, 70], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [27, 64, 29]
Generated Node #0,1: 66:[27, 64, 29] Operation: 99-70=29
Moving to Node #0,1
Current State: 66:[27, 64, 29], Operations: ['99-70=29']
Exploring Operation: 29-27=2, Resulting Numbers: [64, 2]
Generated Node #0,1,2: 66:[64, 2] Operation: 29-27=2
Moving to Node #0,1,2
Current State: 66:[64, 2], Operations: ['99-70=29', '29-27=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
sum_heuristic
|
[
4,
14,
39,
65
] | 77
|
[
"4*39=156",
"14+65=79",
"156-79=77"
] |
Current State: 77:[4, 14, 39, 65], Operations: []
Exploring Operation: 4*39=156, Resulting Numbers: [14, 65, 156]
Generated Node #2: [14, 65, 156] from Operation: 4*39=156
Current State: 77:[14, 65, 156], Operations: ['4*39=156']
Exploring Operation: 14+65=79, Resulting Numbers: [156, 79]
Generated Node #3: [156, 79] from Operation: 14+65=79
Current State: 77:[156, 79], Operations: ['4*39=156', '14+65=79']
Exploring Operation: 156-79=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[4, 14, 39, 65], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [4, 14, 26]
Generated Node #0,0: 77:[4, 14, 26] Operation: 65-39=26
Exploring Operation: 39+65=104, Resulting Numbers: [4, 14, 104]
Generated Node #0,1: 77:[4, 14, 104] Operation: 39+65=104
Exploring Operation: 39-14=25, Resulting Numbers: [4, 65, 25]
Generated Node #0,2: 77:[4, 65, 25] Operation: 39-14=25
Exploring Operation: 14+65=79, Resulting Numbers: [4, 39, 79]
Generated Node #0,3: 77:[4, 39, 79] Operation: 14+65=79
Moving to Node #0,0
Current State: 77:[4, 14, 26], Operations: ['65-39=26']
Exploring Operation: 26-4=22, Resulting Numbers: [14, 22]
Generated Node #0,0,0: 77:[14, 22] Operation: 26-4=22
Exploring Operation: 26-14=12, Resulting Numbers: [4, 12]
Generated Node #0,0,1: 77:[4, 12] Operation: 26-14=12
Exploring Operation: 14-4=10, Resulting Numbers: [26, 10]
Generated Node #0,0,2: 77:[26, 10] Operation: 14-4=10
Exploring Operation: 4+14=18, Resulting Numbers: [26, 18]
Generated Node #0,0,3: 77:[26, 18] Operation: 4+14=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[4, 12], Operations: ['65-39=26', '26-14=12']
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,77 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[14, 22], Operations: ['65-39=26', '26-4=22']
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 77:[26, 10], Operations: ['65-39=26', '14-4=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,77 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,77 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[26, 18], Operations: ['65-39=26', '4+14=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,77 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: 77:[4, 65, 25], Operations: ['39-14=25']
Exploring Operation: 4+65=69, Resulting Numbers: [25, 69]
Generated Node #0,2,0: 77:[25, 69] Operation: 4+65=69
Exploring Operation: 25-4=21, Resulting Numbers: [65, 21]
Generated Node #0,2,1: 77:[65, 21] Operation: 25-4=21
Exploring Operation: 65+25=90, Resulting Numbers: [4, 90]
Generated Node #0,2,2: 77:[4, 90] Operation: 65+25=90
Exploring Operation: 65-4=61, Resulting Numbers: [25, 61]
Generated Node #0,2,3: 77:[25, 61] Operation: 65-4=61
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 77:[4, 90], Operations: ['39-14=25', '65+25=90']
Exploring Operation: 4*90=360, Resulting Numbers: [360]
360,77 unequal: No Solution
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,77 unequal: No Solution
Exploring Operation: 4+90=94, Resulting Numbers: [94]
94,77 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 #0,2,0
Current State: 77:[25, 69], Operations: ['39-14=25', '4+65=69']
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 25*69=1725, Resulting Numbers: [1725]
1725,77 unequal: No Solution
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[65, 21], Operations: ['39-14=25', '25-4=21']
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,77 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 77:[25, 61], Operations: ['39-14=25', '65-4=61']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 25*61=1525, Resulting Numbers: [1525]
1525,77 unequal: No Solution
Exploring Operation: 25+61=86, Resulting Numbers: [86]
86,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 77:[4, 39, 79], Operations: ['14+65=79']
Exploring Operation: 79-39=40, Resulting Numbers: [4, 40]
Generated Node #0,3,0: 77:[4, 40] Operation: 79-39=40
Exploring Operation: 39-4=35, Resulting Numbers: [79, 35]
Generated Node #0,3,1: 77:[79, 35] Operation: 39-4=35
Exploring Operation: 4+39=43, Resulting Numbers: [79, 43]
Generated Node #0,3,2: 77:[79, 43] Operation: 4+39=43
Exploring Operation: 79-4=75, Resulting Numbers: [39, 75]
Generated Node #0,3,3: 77:[39, 75] Operation: 79-4=75
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 77:[79, 35], Operations: ['14+65=79', '39-4=35']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 79*35=2765, Resulting Numbers: [2765]
2765,77 unequal: No Solution
Exploring Operation: 79+35=114, Resulting Numbers: [114]
114,77 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 #0,3,3
Current State: 77:[39, 75], Operations: ['14+65=79', '79-4=75']
Exploring Operation: 39+75=114, Resulting Numbers: [114]
114,77 unequal: No Solution
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 39*75=2925, Resulting Numbers: [2925]
2925,77 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 #0,3,0
Current State: 77:[4, 40], Operations: ['14+65=79', '79-39=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,77 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 #0,3,2
Current State: 77:[79, 43], Operations: ['14+65=79', '4+39=43']
Exploring Operation: 79*43=3397, Resulting Numbers: [3397]
3397,77 unequal: No Solution
Exploring Operation: 79-43=36, Resulting Numbers: [36]
36,77 unequal: No Solution
Exploring Operation: 79+43=122, Resulting Numbers: [122]
122,77 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: 77:[4, 14, 104], Operations: ['39+65=104']
Exploring Operation: 104-14=90, Resulting Numbers: [4, 90]
Generated Node #0,1,0: 77:[4, 90] Operation: 104-14=90
Exploring Operation: 14-4=10, Resulting Numbers: [104, 10]
Generated Node #0,1,1: 77:[104, 10] Operation: 14-4=10
Exploring Operation: 104/4=26, Resulting Numbers: [14, 26]
Generated Node #0,1,2: 77:[14, 26] Operation: 104/4=26
Exploring Operation: 104-4=100, Resulting Numbers: [14, 100]
Generated Node #0,1,3: 77:[14, 100] Operation: 104-4=100
Moving to Node #0,1,0
Current State: 77:[4, 90], Operations: ['39+65=104', '104-14=90']
Exploring Operation: 4+90=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 4*90=360, Resulting Numbers: [360]
360,77 unequal: No Solution
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[14, 26], Operations: ['39+65=104', '104/4=26']
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,77 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 14*26=364, Resulting Numbers: [364]
364,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[14, 100], Operations: ['39+65=104', '104-4=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,77 unequal: No Solution
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,77 unequal: No Solution
Exploring Operation: 14*100=1400, Resulting Numbers: [1400]
1400,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[104, 10], Operations: ['39+65=104', '14-4=10']
Exploring Operation: 104-10=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 104*10=1040, Resulting Numbers: [1040]
1040,77 unequal: No Solution
Exploring Operation: 104+10=114, Resulting Numbers: [114]
114,77 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
50,
4,
31,
44
] | 70
|
[
"50+31=81",
"44/4=11",
"81-11=70"
] |
Current State: 70:[50, 4, 31, 44], Operations: []
Exploring Operation: 50+31=81, Resulting Numbers: [4, 44, 81]
Generated Node #2: [4, 44, 81] from Operation: 50+31=81
Current State: 70:[4, 44, 81], Operations: ['50+31=81']
Exploring Operation: 44/4=11, Resulting Numbers: [81, 11]
Generated Node #3: [81, 11] from Operation: 44/4=11
Current State: 70:[81, 11], Operations: ['50+31=81', '44/4=11']
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[50, 4, 31, 44], Operations: []
Exploring Operation: 44-31=13, Resulting Numbers: [50, 4, 13]
Generated Node #0,0: 70:[50, 4, 13] Operation: 44-31=13
Exploring Operation: 50-44=6, Resulting Numbers: [4, 31, 6]
Generated Node #0,1: 70:[4, 31, 6] Operation: 50-44=6
Exploring Operation: 50-31=19, Resulting Numbers: [4, 44, 19]
Generated Node #0,2: 70:[4, 44, 19] Operation: 50-31=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[4, 31, 6], Operations: ['50-44=6']
Exploring Operation: 4+6=10, Resulting Numbers: [31, 10]
Generated Node #0,1,0: 70:[31, 10] Operation: 4+6=10
Exploring Operation: 31+6=37, Resulting Numbers: [4, 37]
Generated Node #0,1,1: 70:[4, 37] Operation: 31+6=37
Exploring Operation: 4+31=35, Resulting Numbers: [6, 35]
Generated Node #0,1,2: 70:[6, 35] Operation: 4+31=35
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 70:[6, 35], Operations: ['50-44=6', '4+31=35']
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,70 unequal: No Solution
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,70 unequal: No Solution
No 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: 70:[4, 37], Operations: ['50-44=6', '31+6=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,70 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,70 unequal: No Solution
No 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: 70:[31, 10], Operations: ['50-44=6', '4+6=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,70 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,70 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,70 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: 70:[4, 44, 19], Operations: ['50-31=19']
Exploring Operation: 44-4=40, Resulting Numbers: [19, 40]
Generated Node #0,2,0: 70:[19, 40] Operation: 44-4=40
Exploring Operation: 44+19=63, Resulting Numbers: [4, 63]
Generated Node #0,2,1: 70:[4, 63] Operation: 44+19=63
Exploring Operation: 44/4=11, Resulting Numbers: [19, 11]
Generated Node #0,2,2: 70:[19, 11] Operation: 44/4=11
Moving to Node #0,2,2
Current State: 70:[19, 11], Operations: ['50-31=19', '44/4=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,70 unequal: No Solution
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[4, 63], Operations: ['50-31=19', '44+19=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,70 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[19, 40], Operations: ['50-31=19', '44-4=40']
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,70 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,70 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
Current State: 70:[50, 4, 13], Operations: ['44-31=13']
Exploring Operation: 50-4=46, Resulting Numbers: [13, 46]
Generated Node #0,0,0: 70:[13, 46] Operation: 50-4=46
Exploring Operation: 50+13=63, Resulting Numbers: [4, 63]
Generated Node #0,0,1: 70:[4, 63] Operation: 50+13=63
Exploring Operation: 50-13=37, Resulting Numbers: [4, 37]
Generated Node #0,0,2: 70:[4, 37] Operation: 50-13=37
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 70:[4, 37], Operations: ['44-31=13', '50-13=37']
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,70 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,70 unequal: No Solution
No 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: 70:[4, 63], Operations: ['44-31=13', '50+13=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,70 unequal: No Solution
No 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: 70:[13, 46], Operations: ['44-31=13', '50-4=46']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,70 unequal: No Solution
Exploring Operation: 13*46=598, Resulting Numbers: [598]
598,70 unequal: No Solution
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
86,
90,
31,
15
] | 29
|
[
"90-86=4",
"15*4=60",
"60-31=29"
] |
Current State: 29:[86, 90, 31, 15], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [31, 15, 4]
Generated Node #2: [31, 15, 4] from Operation: 90-86=4
Current State: 29:[31, 15, 4], Operations: ['90-86=4']
Exploring Operation: 15*4=60, Resulting Numbers: [31, 60]
Generated Node #3: [31, 60] from Operation: 15*4=60
Current State: 29:[31, 60], Operations: ['90-86=4', '15*4=60']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
Current State: 29:[86, 90, 31, 15], Operations: []
Exploring Operation: 86-31=55, Resulting Numbers: [90, 15, 55]
Generated Node #0,0: 29:[90, 15, 55] Operation: 86-31=55
Exploring Operation: 90/15=6, Resulting Numbers: [86, 31, 6]
Generated Node #0,1: 29:[86, 31, 6] Operation: 90/15=6
Exploring Operation: 90-86=4, Resulting Numbers: [31, 15, 4]
Generated Node #0,2: 29:[31, 15, 4] Operation: 90-86=4
Moving to Node #0,2
Current State: 29:[31, 15, 4], Operations: ['90-86=4']
Exploring Operation: 31-4=27, Resulting Numbers: [15, 27]
Generated Node #0,2,0: 29:[15, 27] Operation: 31-4=27
Exploring Operation: 15+4=19, Resulting Numbers: [31, 19]
Generated Node #0,2,1: 29:[31, 19] Operation: 15+4=19
Exploring Operation: 31+4=35, Resulting Numbers: [15, 35]
Generated Node #0,2,2: 29:[15, 35] Operation: 31+4=35
Moving to Node #0,1
Current State: 29:[86, 31, 6], Operations: ['90/15=6']
Exploring Operation: 86-6=80, Resulting Numbers: [31, 80]
Generated Node #0,1,0: 29:[31, 80] Operation: 86-6=80
Exploring Operation: 31-6=25, Resulting Numbers: [86, 25]
Generated Node #0,1,1: 29:[86, 25] Operation: 31-6=25
Exploring Operation: 86-31=55, Resulting Numbers: [6, 55]
Generated Node #0,1,2: 29:[6, 55] Operation: 86-31=55
Moving to Node #0,0
Current State: 29:[90, 15, 55], Operations: ['86-31=55']
Exploring Operation: 90-15=75, Resulting Numbers: [55, 75]
Generated Node #0,0,0: 29:[55, 75] Operation: 90-15=75
Exploring Operation: 90-55=35, Resulting Numbers: [15, 35]
Generated Node #0,0,1: 29:[15, 35] Operation: 90-55=35
Exploring Operation: 90/15=6, Resulting Numbers: [55, 6]
Generated Node #0,0,2: 29:[55, 6] Operation: 90/15=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[15, 35], Operations: ['86-31=55', '90-55=35']
Exploring Operation: 15*35=525, Resulting Numbers: [525]
525,29 unequal: No Solution
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,29 unequal: No Solution
No 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: 29:[55, 6], Operations: ['86-31=55', '90/15=6']
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,29 unequal: No Solution
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,29 unequal: No Solution
No 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: 29:[55, 75], Operations: ['86-31=55', '90-15=75']
Exploring Operation: 55*75=4125, Resulting Numbers: [4125]
4125,29 unequal: No Solution
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 55+75=130, Resulting Numbers: [130]
130,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 29:[31, 19], Operations: ['90-86=4', '15+4=19']
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[15, 27], Operations: ['90-86=4', '31-4=27']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,29 unequal: No Solution
Exploring Operation: 15*27=405, Resulting Numbers: [405]
405,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[15, 35], Operations: ['90-86=4', '31+4=35']
Exploring Operation: 15*35=525, Resulting Numbers: [525]
525,29 unequal: No Solution
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[6, 55], Operations: ['90/15=6', '86-31=55']
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,29 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[31, 80], Operations: ['90/15=6', '86-6=80']
Exploring Operation: 31+80=111, Resulting Numbers: [111]
111,29 unequal: No Solution
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,29 unequal: No Solution
Exploring Operation: 31*80=2480, Resulting Numbers: [2480]
2480,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[86, 25], Operations: ['90/15=6', '31-6=25']
Exploring Operation: 86+25=111, Resulting Numbers: [111]
111,29 unequal: No Solution
Exploring Operation: 86*25=2150, Resulting Numbers: [2150]
2150,29 unequal: No Solution
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,29 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.