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 |
|---|---|---|---|---|---|---|---|---|
[
91,
26,
88,
21
] | 94 | [
"26*21=546",
"546/91=6",
"88+6=94"
] | Current State: 94:[91, 26, 88, 21], Operations: []
Exploring Operation: 26*21=546, Resulting Numbers: [91, 88, 546]
Generated Node #2: [91, 88, 546] from Operation: 26*21=546
Current State: 94:[91, 88, 546], Operations: ['26*21=546']
Exploring Operation: 546/91=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 546/91=6
Current State: 94:[88, 6], Operations: ['26*21=546', '546/91=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[91, 26, 88, 21], Operations: []
Exploring Operation: 26+21=47, Resulting Numbers: [91, 88, 47]
Generated Node #0,0: 94:[91, 88, 47] Operation: 26+21=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[91, 88, 47], Operations: ['26+21=47']
Exploring Operation: 91-88=3, Resulting Numbers: [47, 3]
Generated Node #0,0,0: 94:[47, 3] Operation: 91-88=3
Moving to Node #0,0,0
Current State: 94:[47, 3], Operations: ['26+21=47', '91-88=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,94 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 |
[
39,
70,
72,
96
] | 85 | [
"39+70=109",
"96-72=24",
"109-24=85"
] | Current State: 85:[39, 70, 72, 96], Operations: []
Exploring Operation: 39+70=109, Resulting Numbers: [72, 96, 109]
Generated Node #2: [72, 96, 109] from Operation: 39+70=109
Current State: 85:[72, 96, 109], Operations: ['39+70=109']
Exploring Operation: 96-72=24, Resulting Numbers: [109, 24]
Generated Node #3: [109, 24] from Operation: 96-72=24
Current State: 85:[109, 24], Operations: ['39+70=109', '96-72=24']
Exploring Operation: 109-24=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[39, 70, 72, 96], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [39, 96, 2]
Generated Node #0,0: 85:[39, 96, 2] Operation: 72-70=2
Exploring Operation: 70-39=31, Resulting Numbers: [72, 96, 31]
Generated Node #0,1: 85:[72, 96, 31] Operation: 70-39=31
Exploring Operation: 72-39=33, Resulting Numbers: [70, 96, 33]
Generated Node #0,2: 85:[70, 96, 33] Operation: 72-39=33
Exploring Operation: 96-70=26, Resulting Numbers: [39, 72, 26]
Generated Node #0,3: 85:[39, 72, 26] Operation: 96-70=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[39, 96, 2], Operations: ['72-70=2']
Exploring Operation: 39-2=37, Resulting Numbers: [96, 37]
Generated Node #0,0,0: 85:[96, 37] Operation: 39-2=37
Exploring Operation: 96-2=94, Resulting Numbers: [39, 94]
Generated Node #0,0,1: 85:[39, 94] Operation: 96-2=94
Exploring Operation: 96-39=57, Resulting Numbers: [2, 57]
Generated Node #0,0,2: 85:[2, 57] Operation: 96-39=57
Exploring Operation: 39*2=78, Resulting Numbers: [96, 78]
Generated Node #0,0,3: 85:[96, 78] Operation: 39*2=78
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 85:[96, 78], Operations: ['72-70=2', '39*2=78']
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,85 unequal: No Solution
Exploring Operation: 96+78=174, Resulting Numbers: [174]
174,85 unequal: No Solution
Exploring Operation: 96*78=7488, Resulting Numbers: [7488]
7488,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[96, 37], Operations: ['72-70=2', '39-2=37']
Exploring Operation: 96+37=133, Resulting Numbers: [133]
133,85 unequal: No Solution
Exploring Operation: 96*37=3552, Resulting Numbers: [3552]
3552,85 unequal: No Solution
Exploring Operation: 96-37=59, Resulting Numbers: [59]
59,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[39, 94], Operations: ['72-70=2', '96-2=94']
Exploring Operation: 39+94=133, Resulting Numbers: [133]
133,85 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,85 unequal: No Solution
Exploring Operation: 39*94=3666, Resulting Numbers: [3666]
3666,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[2, 57], Operations: ['72-70=2', '96-39=57']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,85 unequal: No Solution
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,85 unequal: No Solution
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[72, 96, 31], Operations: ['70-39=31']
Exploring Operation: 72-31=41, Resulting Numbers: [96, 41]
Generated Node #0,1,0: 85:[96, 41] Operation: 72-31=41
Exploring Operation: 72+31=103, Resulting Numbers: [96, 103]
Generated Node #0,1,1: 85:[96, 103] Operation: 72+31=103
Exploring Operation: 96-72=24, Resulting Numbers: [31, 24]
Generated Node #0,1,2: 85:[31, 24] Operation: 96-72=24
Exploring Operation: 96-31=65, Resulting Numbers: [72, 65]
Generated Node #0,1,3: 85:[72, 65] Operation: 96-31=65
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[31, 24], Operations: ['70-39=31', '96-72=24']
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,85 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 31*24=744, Resulting Numbers: [744]
744,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[96, 103], Operations: ['70-39=31', '72+31=103']
Exploring Operation: 96*103=9888, Resulting Numbers: [9888]
9888,85 unequal: No Solution
Exploring Operation: 96+103=199, Resulting Numbers: [199]
199,85 unequal: No Solution
Exploring Operation: 103-96=7, Resulting Numbers: [7]
7,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[72, 65], Operations: ['70-39=31', '96-31=65']
Exploring Operation: 72+65=137, Resulting Numbers: [137]
137,85 unequal: No Solution
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 72*65=4680, Resulting Numbers: [4680]
4680,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[96, 41], Operations: ['70-39=31', '72-31=41']
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,85 unequal: No Solution
Exploring Operation: 96*41=3936, Resulting Numbers: [3936]
3936,85 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[70, 96, 33], Operations: ['72-39=33']
Exploring Operation: 70+33=103, Resulting Numbers: [96, 103]
Generated Node #0,2,0: 85:[96, 103] Operation: 70+33=103
Exploring Operation: 96-70=26, Resulting Numbers: [33, 26]
Generated Node #0,2,1: 85:[33, 26] Operation: 96-70=26
Exploring Operation: 70-33=37, Resulting Numbers: [96, 37]
Generated Node #0,2,2: 85:[96, 37] Operation: 70-33=37
Exploring Operation: 96-33=63, Resulting Numbers: [70, 63]
Generated Node #0,2,3: 85:[70, 63] Operation: 96-33=63
Moving to Node #0,2,1
Current State: 85:[33, 26], Operations: ['72-39=33', '96-70=26']
Exploring Operation: 33*26=858, Resulting Numbers: [858]
858,85 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[96, 103], Operations: ['72-39=33', '70+33=103']
Exploring Operation: 103-96=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 96+103=199, Resulting Numbers: [199]
199,85 unequal: No Solution
Exploring Operation: 96*103=9888, Resulting Numbers: [9888]
9888,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[96, 37], Operations: ['72-39=33', '70-33=37']
Exploring Operation: 96-37=59, Resulting Numbers: [59]
59,85 unequal: No Solution
Exploring Operation: 96*37=3552, Resulting Numbers: [3552]
3552,85 unequal: No Solution
Exploring Operation: 96+37=133, Resulting Numbers: [133]
133,85 unequal: No Solution
Moving to Node #0,2,3
Current State: 85:[70, 63], Operations: ['72-39=33', '96-33=63']
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 70*63=4410, Resulting Numbers: [4410]
4410,85 unequal: No Solution
Exploring Operation: 70+63=133, Resulting Numbers: [133]
133,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[39, 72, 26], Operations: ['96-70=26']
Exploring Operation: 39-26=13, Resulting Numbers: [72, 13]
Generated Node #0,3,0: 85:[72, 13] Operation: 39-26=13
Exploring Operation: 39+72=111, Resulting Numbers: [26, 111]
Generated Node #0,3,1: 85:[26, 111] Operation: 39+72=111
Exploring Operation: 39+26=65, Resulting Numbers: [72, 65]
Generated Node #0,3,2: 85:[72, 65] Operation: 39+26=65
Exploring Operation: 72-39=33, Resulting Numbers: [26, 33]
Generated Node #0,3,3: 85:[26, 33] Operation: 72-39=33
Moving to Node #0,3,0
Current State: 85:[72, 13], Operations: ['96-70=26', '39-26=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,85 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,85 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[39, 70, 72, 96], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [39, 72, 26]
Generated Node #0,3: 85:[39, 72, 26] Operation: 96-70=26
Moving to Node #0,3
Current State: 85:[39, 72, 26], Operations: ['96-70=26']
Exploring Operation: 39-26=13, Resulting Numbers: [72, 13]
Generated Node #0,3,0: 85:[72, 13] Operation: 39-26=13
Moving to Node #0,3,0
Current State: 85:[72, 13], Operations: ['96-70=26', '39-26=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_4 | sum_heuristic |
[
89,
56,
19,
32
] | 18 | [
"89-56=33",
"19+32=51",
"51-33=18"
] | Current State: 18:[89, 56, 19, 32], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [19, 32, 33]
Generated Node #2: [19, 32, 33] from Operation: 89-56=33
Current State: 18:[19, 32, 33], Operations: ['89-56=33']
Exploring Operation: 19+32=51, Resulting Numbers: [33, 51]
Generated Node #3: [33, 51] from Operation: 19+32=51
Current State: 18:[33, 51], Operations: ['89-56=33', '19+32=51']
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[89, 56, 19, 32], Operations: []
Exploring Operation: 89-32=57, Resulting Numbers: [56, 19, 57]
Generated Node #0,0: 18:[56, 19, 57] Operation: 89-32=57
Exploring Operation: 89-19=70, Resulting Numbers: [56, 32, 70]
Generated Node #0,1: 18:[56, 32, 70] Operation: 89-19=70
Exploring Operation: 56-32=24, Resulting Numbers: [89, 19, 24]
Generated Node #0,2: 18:[89, 19, 24] Operation: 56-32=24
Exploring Operation: 89-56=33, Resulting Numbers: [19, 32, 33]
Generated Node #0,3: 18:[19, 32, 33] Operation: 89-56=33
Moving to Node #0,3
Current State: 18:[19, 32, 33], Operations: ['89-56=33']
Exploring Operation: 33-19=14, Resulting Numbers: [32, 14]
Generated Node #0,3,0: 18:[32, 14] Operation: 33-19=14
Exploring Operation: 33-32=1, Resulting Numbers: [19, 1]
Generated Node #0,3,1: 18:[19, 1] Operation: 33-32=1
Exploring Operation: 32-19=13, Resulting Numbers: [33, 13]
Generated Node #0,3,2: 18:[33, 13] Operation: 32-19=13
Exploring Operation: 19+32=51, Resulting Numbers: [33, 51]
Generated Node #0,3,3: 18:[33, 51] Operation: 19+32=51
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 18:[19, 1], Operations: ['89-56=33', '33-32=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[89, 56, 19, 32], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [19, 32, 33]
Generated Node #0,3: 18:[19, 32, 33] Operation: 89-56=33
Moving to Node #0,3
Current State: 18:[19, 32, 33], Operations: ['89-56=33']
Exploring Operation: 33-32=1, Resulting Numbers: [19, 1]
Generated Node #0,3,1: 18:[19, 1] Operation: 33-32=1
Moving to Node #0,3,1
Current State: 18:[19, 1], Operations: ['89-56=33', '33-32=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
15,
80,
19,
14
] | 77 | [
"19-14=5",
"15/5=3",
"80-3=77"
] | Current State: 77:[15, 80, 19, 14], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [15, 80, 5]
Generated Node #2: [15, 80, 5] from Operation: 19-14=5
Current State: 77:[15, 80, 5], Operations: ['19-14=5']
Exploring Operation: 15/5=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 15/5=3
Current State: 77:[80, 3], Operations: ['19-14=5', '15/5=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[15, 80, 19, 14], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [15, 80, 5]
Generated Node #0,0: 77:[15, 80, 5] Operation: 19-14=5
Exploring Operation: 19-15=4, Resulting Numbers: [80, 14, 4]
Generated Node #0,1: 77:[80, 14, 4] Operation: 19-15=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[15, 80, 5], Operations: ['19-14=5']
Exploring Operation: 15*5=75, Resulting Numbers: [80, 75]
Generated Node #0,0,0: 77:[80, 75] Operation: 15*5=75
Exploring Operation: 15-5=10, Resulting Numbers: [80, 10]
Generated Node #0,0,1: 77:[80, 10] Operation: 15-5=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[80, 10], Operations: ['19-14=5', '15-5=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 80/10=8, Resulting Numbers: [8]
8,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[80, 75], Operations: ['19-14=5', '15*5=75']
Exploring Operation: 80+75=155, Resulting Numbers: [155]
155,77 unequal: No Solution
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[80, 14, 4], Operations: ['19-15=4']
Exploring Operation: 14-4=10, Resulting Numbers: [80, 10]
Generated Node #0,1,0: 77:[80, 10] Operation: 14-4=10
Exploring Operation: 80-4=76, Resulting Numbers: [14, 76]
Generated Node #0,1,1: 77:[14, 76] Operation: 80-4=76
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[80, 10], Operations: ['19-15=4', '14-4=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 80/10=8, Resulting Numbers: [8]
8,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[14, 76], Operations: ['19-15=4', '80-4=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
87,
27,
97,
93
] | 65 | [
"93-87=6",
"27*6=162",
"162-97=65"
] | Current State: 65:[87, 27, 97, 93], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [27, 97, 6]
Generated Node #2: [27, 97, 6] from Operation: 93-87=6
Current State: 65:[27, 97, 6], Operations: ['93-87=6']
Exploring Operation: 27*6=162, Resulting Numbers: [97, 162]
Generated Node #3: [97, 162] from Operation: 27*6=162
Current State: 65:[97, 162], Operations: ['93-87=6', '27*6=162']
Exploring Operation: 162-97=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[87, 27, 97, 93], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [87, 97, 66]
Generated Node #0,0: 65:[87, 97, 66] Operation: 93-27=66
Exploring Operation: 97-27=70, Resulting Numbers: [87, 93, 70]
Generated Node #0,1: 65:[87, 93, 70] Operation: 97-27=70
Exploring Operation: 97-93=4, Resulting Numbers: [87, 27, 4]
Generated Node #0,2: 65:[87, 27, 4] Operation: 97-93=4
Exploring Operation: 97-87=10, Resulting Numbers: [27, 93, 10]
Generated Node #0,3: 65:[27, 93, 10] Operation: 97-87=10
Exploring Operation: 93-87=6, Resulting Numbers: [27, 97, 6]
Generated Node #0,4: 65:[27, 97, 6] Operation: 93-87=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[87, 27, 4], Operations: ['97-93=4']
Exploring Operation: 87-27=60, Resulting Numbers: [4, 60]
Generated Node #0,2,0: 65:[4, 60] Operation: 87-27=60
Exploring Operation: 87-4=83, Resulting Numbers: [27, 83]
Generated Node #0,2,1: 65:[27, 83] Operation: 87-4=83
Exploring Operation: 27+4=31, Resulting Numbers: [87, 31]
Generated Node #0,2,2: 65:[87, 31] Operation: 27+4=31
Exploring Operation: 87+4=91, Resulting Numbers: [27, 91]
Generated Node #0,2,3: 65:[27, 91] Operation: 87+4=91
Exploring Operation: 27-4=23, Resulting Numbers: [87, 23]
Generated Node #0,2,4: 65:[87, 23] Operation: 27-4=23
Moving to Node #0,2,0
Current State: 65:[4, 60], Operations: ['97-93=4', '87-27=60']
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,65 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Moving to Node #0,2,4
Current State: 65:[87, 23], Operations: ['97-93=4', '27-4=23']
Exploring Operation: 87*23=2001, Resulting Numbers: [2001]
2001,65 unequal: No Solution
Exploring Operation: 87+23=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[27, 83], Operations: ['97-93=4', '87-4=83']
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 27*83=2241, Resulting Numbers: [2241]
2241,65 unequal: No Solution
Exploring Operation: 27+83=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[87, 31], Operations: ['97-93=4', '27+4=31']
Exploring Operation: 87*31=2697, Resulting Numbers: [2697]
2697,65 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 87+31=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[27, 91], Operations: ['97-93=4', '87+4=91']
Exploring Operation: 27+91=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 27*91=2457, Resulting Numbers: [2457]
2457,65 unequal: No Solution
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[27, 93, 10], Operations: ['97-87=10']
Exploring Operation: 93-27=66, Resulting Numbers: [10, 66]
Generated Node #0,3,0: 65:[10, 66] Operation: 93-27=66
Exploring Operation: 27-10=17, Resulting Numbers: [93, 17]
Generated Node #0,3,1: 65:[93, 17] Operation: 27-10=17
Exploring Operation: 93+10=103, Resulting Numbers: [27, 103]
Generated Node #0,3,2: 65:[27, 103] Operation: 93+10=103
Exploring Operation: 93-10=83, Resulting Numbers: [27, 83]
Generated Node #0,3,3: 65:[27, 83] Operation: 93-10=83
Exploring Operation: 27+10=37, Resulting Numbers: [93, 37]
Generated Node #0,3,4: 65:[93, 37] Operation: 27+10=37
Moving to Node #0,3,0
Current State: 65:[10, 66], Operations: ['97-87=10', '93-27=66']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,65 unequal: No Solution
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[27, 83], Operations: ['97-87=10', '93-10=83']
Exploring Operation: 27*83=2241, Resulting Numbers: [2241]
2241,65 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 27+83=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[93, 17], Operations: ['97-87=10', '27-10=17']
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,65 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[27, 103], Operations: ['97-87=10', '93+10=103']
Exploring Operation: 27*103=2781, Resulting Numbers: [2781]
2781,65 unequal: No Solution
Exploring Operation: 103-27=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 27+103=130, Resulting Numbers: [130]
130,65 unequal: No Solution
Moving to Node #0,3,4
Current State: 65:[93, 37], Operations: ['97-87=10', '27+10=37']
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 93*37=3441, Resulting Numbers: [3441]
3441,65 unequal: No Solution
Exploring Operation: 93+37=130, Resulting Numbers: [130]
130,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 65:[27, 97, 6], Operations: ['93-87=6']
Exploring Operation: 97-6=91, Resulting Numbers: [27, 91]
Generated Node #0,4,0: 65:[27, 91] Operation: 97-6=91
Exploring Operation: 27-6=21, Resulting Numbers: [97, 21]
Generated Node #0,4,1: 65:[97, 21] Operation: 27-6=21
Exploring Operation: 97-27=70, Resulting Numbers: [6, 70]
Generated Node #0,4,2: 65:[6, 70] Operation: 97-27=70
Exploring Operation: 27+6=33, Resulting Numbers: [97, 33]
Generated Node #0,4,3: 65:[97, 33] Operation: 27+6=33
Exploring Operation: 97+6=103, Resulting Numbers: [27, 103]
Generated Node #0,4,4: 65:[27, 103] Operation: 97+6=103
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 65:[6, 70], Operations: ['93-87=6', '97-27=70']
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,65 unequal: No Solution
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,65 unequal: No Solution
No 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: 65:[27, 91], Operations: ['93-87=6', '97-6=91']
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 27*91=2457, Resulting Numbers: [2457]
2457,65 unequal: No Solution
Exploring Operation: 27+91=118, Resulting Numbers: [118]
118,65 unequal: No Solution
No 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: 65:[97, 21], Operations: ['93-87=6', '27-6=21']
Exploring Operation: 97+21=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 97*21=2037, Resulting Numbers: [2037]
2037,65 unequal: No Solution
Exploring Operation: 97-21=76, Resulting Numbers: [76]
76,65 unequal: No Solution
No 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: 65:[97, 33], Operations: ['93-87=6', '27+6=33']
Exploring Operation: 97-33=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 97+33=130, Resulting Numbers: [130]
130,65 unequal: No Solution
Exploring Operation: 97*33=3201, Resulting Numbers: [3201]
3201,65 unequal: No Solution
No 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: 65:[27, 103], Operations: ['93-87=6', '97+6=103']
Exploring Operation: 103-27=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 27+103=130, Resulting Numbers: [130]
130,65 unequal: No Solution
Exploring Operation: 27*103=2781, Resulting Numbers: [2781]
2781,65 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: 65:[87, 97, 66], Operations: ['93-27=66']
Exploring Operation: 97-87=10, Resulting Numbers: [66, 10]
Generated Node #0,0,0: 65:[66, 10] Operation: 97-87=10
Exploring Operation: 97-66=31, Resulting Numbers: [87, 31]
Generated Node #0,0,1: 65:[87, 31] Operation: 97-66=31
Exploring Operation: 87+66=153, Resulting Numbers: [97, 153]
Generated Node #0,0,2: 65:[97, 153] Operation: 87+66=153
Exploring Operation: 87+97=184, Resulting Numbers: [66, 184]
Generated Node #0,0,3: 65:[66, 184] Operation: 87+97=184
Exploring Operation: 87-66=21, Resulting Numbers: [97, 21]
Generated Node #0,0,4: 65:[97, 21] Operation: 87-66=21
Moving to Node #0,0,0
Current State: 65:[66, 10], Operations: ['93-27=66', '97-87=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,65 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Moving to Node #0,0,4
Current State: 65:[97, 21], Operations: ['93-27=66', '87-66=21']
Exploring Operation: 97*21=2037, Resulting Numbers: [2037]
2037,65 unequal: No Solution
Exploring Operation: 97+21=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 97-21=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[87, 31], Operations: ['93-27=66', '97-66=31']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 87*31=2697, Resulting Numbers: [2697]
2697,65 unequal: No Solution
Exploring Operation: 87+31=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[97, 153], Operations: ['93-27=66', '87+66=153']
Exploring Operation: 97*153=14841, Resulting Numbers: [14841]
14841,65 unequal: No Solution
Exploring Operation: 153-97=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 97+153=250, Resulting Numbers: [250]
250,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[66, 184], Operations: ['93-27=66', '87+97=184']
Exploring Operation: 66*184=12144, Resulting Numbers: [12144]
12144,65 unequal: No Solution
Exploring Operation: 66+184=250, Resulting Numbers: [250]
250,65 unequal: No Solution
Exploring Operation: 184-66=118, Resulting Numbers: [118]
118,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[87, 93, 70], Operations: ['97-27=70']
Exploring Operation: 93-87=6, Resulting Numbers: [70, 6]
Generated Node #0,1,0: 65:[70, 6] Operation: 93-87=6
Exploring Operation: 87-70=17, Resulting Numbers: [93, 17]
Generated Node #0,1,1: 65:[93, 17] Operation: 87-70=17
Exploring Operation: 93-70=23, Resulting Numbers: [87, 23]
Generated Node #0,1,2: 65:[87, 23] Operation: 93-70=23
Exploring Operation: 87+93=180, Resulting Numbers: [70, 180]
Generated Node #0,1,3: 65:[70, 180] Operation: 87+93=180
Exploring Operation: 87+70=157, Resulting Numbers: [93, 157]
Generated Node #0,1,4: 65:[93, 157] Operation: 87+70=157
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[70, 6], Operations: ['97-27=70', '93-87=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,65 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,65 unequal: No Solution
No 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: 65:[93, 17], Operations: ['97-27=70', '87-70=17']
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,65 unequal: No Solution
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,65 unequal: No Solution
No 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: 65:[87, 23], Operations: ['97-27=70', '93-70=23']
Exploring Operation: 87+23=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Exploring Operation: 87*23=2001, Resulting Numbers: [2001]
2001,65 unequal: No Solution
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,65 unequal: No Solution
No 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: 65:[70, 180], Operations: ['97-27=70', '87+93=180']
Exploring Operation: 70+180=250, Resulting Numbers: [250]
250,65 unequal: No Solution
Exploring Operation: 70*180=12600, Resulting Numbers: [12600]
12600,65 unequal: No Solution
Exploring Operation: 180-70=110, Resulting Numbers: [110]
110,65 unequal: No Solution
No 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: 65:[93, 157], Operations: ['97-27=70', '87+70=157']
Exploring Operation: 93*157=14601, Resulting Numbers: [14601]
14601,65 unequal: No Solution
Exploring Operation: 157-93=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 93+157=250, Resulting Numbers: [250]
250,65 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 |
[
36,
24,
72,
88
] | 82 | [
"36-24=12",
"72/12=6",
"88-6=82"
] | Current State: 82:[36, 24, 72, 88], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [72, 88, 12]
Generated Node #2: [72, 88, 12] from Operation: 36-24=12
Current State: 82:[72, 88, 12], Operations: ['36-24=12']
Exploring Operation: 72/12=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 72/12=6
Current State: 82:[88, 6], Operations: ['36-24=12', '72/12=6']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[36, 24, 72, 88], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [36, 88, 3]
Generated Node #0,0: 82:[36, 88, 3] Operation: 72/24=3
Moving to Node #0,0
Current State: 82:[36, 88, 3], Operations: ['72/24=3']
Exploring Operation: 36+3=39, Resulting Numbers: [88, 39]
Generated Node #0,0,0: 82:[88, 39] Operation: 36+3=39
Moving to Node #0,0,0
Current State: 82:[88, 39], Operations: ['72/24=3', '36+3=39']
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,82 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
91,
35,
49,
25
] | 29 | [
"91+49=140",
"140/35=4",
"25+4=29"
] | Current State: 29:[91, 35, 49, 25], Operations: []
Exploring Operation: 91+49=140, Resulting Numbers: [35, 25, 140]
Generated Node #2: [35, 25, 140] from Operation: 91+49=140
Current State: 29:[35, 25, 140], Operations: ['91+49=140']
Exploring Operation: 140/35=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 140/35=4
Current State: 29:[25, 4], Operations: ['91+49=140', '140/35=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[91, 35, 49, 25], Operations: []
Exploring Operation: 91-35=56, Resulting Numbers: [49, 25, 56]
Generated Node #0,0: 29:[49, 25, 56] Operation: 91-35=56
Exploring Operation: 91-49=42, Resulting Numbers: [35, 25, 42]
Generated Node #0,1: 29:[35, 25, 42] Operation: 91-49=42
Moving to Node #0,1
Current State: 29:[35, 25, 42], Operations: ['91-49=42']
Exploring Operation: 42-25=17, Resulting Numbers: [35, 17]
Generated Node #0,1,0: 29:[35, 17] Operation: 42-25=17
Exploring Operation: 42-35=7, Resulting Numbers: [25, 7]
Generated Node #0,1,1: 29:[25, 7] Operation: 42-35=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[35, 17], Operations: ['91-49=42', '42-25=17']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,29 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 #0,1,1
Current State: 29:[25, 7], Operations: ['91-49=42', '42-35=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,29 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: 29:[49, 25, 56], Operations: ['91-35=56']
Exploring Operation: 56-49=7, Resulting Numbers: [25, 7]
Generated Node #0,0,0: 29:[25, 7] Operation: 56-49=7
Exploring Operation: 56-25=31, Resulting Numbers: [49, 31]
Generated Node #0,0,1: 29:[49, 31] Operation: 56-25=31
Moving to Node #0,0,1
Current State: 29:[49, 31], Operations: ['91-35=56', '56-25=31']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 49+31=80, Resulting Numbers: [80]
80,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[25, 7], Operations: ['91-35=56', '56-49=7']
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,29 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,29 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
54,
27,
87,
48
] | 19 | [
"54-48=6",
"27+87=114",
"114/6=19"
] | Current State: 19:[54, 27, 87, 48], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [27, 87, 6]
Generated Node #2: [27, 87, 6] from Operation: 54-48=6
Current State: 19:[27, 87, 6], Operations: ['54-48=6']
Exploring Operation: 27+87=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 27+87=114
Current State: 19:[6, 114], Operations: ['54-48=6', '27+87=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[54, 27, 87, 48], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [27, 87, 6]
Generated Node #0,0: 19:[27, 87, 6] Operation: 54-48=6
Exploring Operation: 87-48=39, Resulting Numbers: [54, 27, 39]
Generated Node #0,1: 19:[54, 27, 39] Operation: 87-48=39
Exploring Operation: 87-54=33, Resulting Numbers: [27, 48, 33]
Generated Node #0,2: 19:[27, 48, 33] Operation: 87-54=33
Moving to Node #0,2
Current State: 19:[27, 48, 33], Operations: ['87-54=33']
Exploring Operation: 48-33=15, Resulting Numbers: [27, 15]
Generated Node #0,2,0: 19:[27, 15] Operation: 48-33=15
Exploring Operation: 48-27=21, Resulting Numbers: [33, 21]
Generated Node #0,2,1: 19:[33, 21] Operation: 48-27=21
Exploring Operation: 33-27=6, Resulting Numbers: [48, 6]
Generated Node #0,2,2: 19:[48, 6] Operation: 33-27=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[27, 15], Operations: ['87-54=33', '48-33=15']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[33, 21], Operations: ['87-54=33', '48-27=21']
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[48, 6], Operations: ['87-54=33', '33-27=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 19:[54, 27, 39], Operations: ['87-48=39']
Exploring Operation: 54-27=27, Resulting Numbers: [39, 27]
Generated Node #0,1,0: 19:[39, 27] Operation: 54-27=27
Exploring Operation: 54-39=15, Resulting Numbers: [27, 15]
Generated Node #0,1,1: 19:[27, 15] Operation: 54-39=15
Exploring Operation: 54/27=2, Resulting Numbers: [39, 2]
Generated Node #0,1,2: 19:[39, 2] Operation: 54/27=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[27, 15], Operations: ['87-48=39', '54-39=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,19 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[39, 27], Operations: ['87-48=39', '54-27=27']
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,19 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[39, 2], Operations: ['87-48=39', '54/27=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,19 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 19:[27, 87, 6], Operations: ['54-48=6']
Exploring Operation: 87-6=81, Resulting Numbers: [27, 81]
Generated Node #0,0,0: 19:[27, 81] Operation: 87-6=81
Exploring Operation: 27-6=21, Resulting Numbers: [87, 21]
Generated Node #0,0,1: 19:[87, 21] Operation: 27-6=21
Exploring Operation: 87-27=60, Resulting Numbers: [6, 60]
Generated Node #0,0,2: 19:[6, 60] Operation: 87-27=60
Moving to Node #0,0,2
Current State: 19:[6, 60], Operations: ['54-48=6', '87-27=60']
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[27, 81], Operations: ['54-48=6', '87-6=81']
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 27+81=108, Resulting Numbers: [108]
108,19 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[87, 21], Operations: ['54-48=6', '27-6=21']
Exploring Operation: 87+21=108, Resulting Numbers: [108]
108,19 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Exploring Operation: 87*21=1827, Resulting Numbers: [1827]
1827,19 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
15,
32,
7,
55
] | 95 | [
"15+32=47",
"55-7=48",
"47+48=95"
] | Current State: 95:[15, 32, 7, 55], Operations: []
Exploring Operation: 15+32=47, Resulting Numbers: [7, 55, 47]
Generated Node #2: [7, 55, 47] from Operation: 15+32=47
Current State: 95:[7, 55, 47], Operations: ['15+32=47']
Exploring Operation: 55-7=48, Resulting Numbers: [47, 48]
Generated Node #3: [47, 48] from Operation: 55-7=48
Current State: 95:[47, 48], Operations: ['15+32=47', '55-7=48']
Exploring Operation: 47+48=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[15, 32, 7, 55], Operations: []
Exploring Operation: 32+55=87, Resulting Numbers: [15, 7, 87]
Generated Node #0,0: 95:[15, 7, 87] Operation: 32+55=87
Exploring Operation: 55-15=40, Resulting Numbers: [32, 7, 40]
Generated Node #0,1: 95:[32, 7, 40] Operation: 55-15=40
Exploring Operation: 55-32=23, Resulting Numbers: [15, 7, 23]
Generated Node #0,2: 95:[15, 7, 23] Operation: 55-32=23
Moving to Node #0,2
Current State: 95:[15, 7, 23], Operations: ['55-32=23']
Exploring Operation: 15-7=8, Resulting Numbers: [23, 8]
Generated Node #0,2,0: 95:[23, 8] Operation: 15-7=8
Exploring Operation: 23-15=8, Resulting Numbers: [7, 8]
Generated Node #0,2,1: 95:[7, 8] Operation: 23-15=8
Exploring Operation: 15+7=22, Resulting Numbers: [23, 22]
Generated Node #0,2,2: 95:[23, 22] Operation: 15+7=22
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[7, 8], Operations: ['55-32=23', '23-15=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,95 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 #0,2,0
Current State: 95:[23, 8], Operations: ['55-32=23', '15-7=8']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,95 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,95 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 #0,2,2
Current State: 95:[23, 22], Operations: ['55-32=23', '15+7=22']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 23*22=506, Resulting Numbers: [506]
506,95 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: 95:[15, 7, 87], Operations: ['32+55=87']
Exploring Operation: 15+87=102, Resulting Numbers: [7, 102]
Generated Node #0,0,0: 95:[7, 102] Operation: 15+87=102
Exploring Operation: 7+87=94, Resulting Numbers: [15, 94]
Generated Node #0,0,1: 95:[15, 94] Operation: 7+87=94
Exploring Operation: 15+7=22, Resulting Numbers: [87, 22]
Generated Node #0,0,2: 95:[87, 22] Operation: 15+7=22
Moving to Node #0,1
Current State: 95:[32, 7, 40], Operations: ['55-15=40']
Exploring Operation: 32+40=72, Resulting Numbers: [7, 72]
Generated Node #0,1,0: 95:[7, 72] Operation: 32+40=72
Exploring Operation: 32-7=25, Resulting Numbers: [40, 25]
Generated Node #0,1,1: 95:[40, 25] Operation: 32-7=25
Exploring Operation: 40-32=8, Resulting Numbers: [7, 8]
Generated Node #0,1,2: 95:[7, 8] Operation: 40-32=8
Moving to Node #0,0,1
Current State: 95:[15, 94], Operations: ['32+55=87', '7+87=94']
Exploring Operation: 15+94=109, Resulting Numbers: [109]
109,95 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 15*94=1410, Resulting Numbers: [1410]
1410,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[7, 8], Operations: ['55-15=40', '40-32=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[7, 102], Operations: ['32+55=87', '15+87=102']
Exploring Operation: 7*102=714, Resulting Numbers: [714]
714,95 unequal: No Solution
Exploring Operation: 102-7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[15, 32, 7, 55], Operations: []
Exploring Operation: 32+55=87, Resulting Numbers: [15, 7, 87]
Generated Node #0,0: 95:[15, 7, 87] Operation: 32+55=87
Moving to Node #0,0
Current State: 95:[15, 7, 87], Operations: ['32+55=87']
Exploring Operation: 15+87=102, Resulting Numbers: [7, 102]
Generated Node #0,0,0: 95:[7, 102] Operation: 15+87=102
Moving to Node #0,0,0
Current State: 95:[7, 102], Operations: ['32+55=87', '15+87=102']
Exploring Operation: 102-7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.971354 | hs_3 | sum_heuristic |
[
48,
45,
6,
49
] | 96 | [
"45+6=51",
"51-49=2",
"48*2=96"
] | Current State: 96:[48, 45, 6, 49], Operations: []
Exploring Operation: 45+6=51, Resulting Numbers: [48, 49, 51]
Generated Node #2: [48, 49, 51] from Operation: 45+6=51
Current State: 96:[48, 49, 51], Operations: ['45+6=51']
Exploring Operation: 51-49=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 51-49=2
Current State: 96:[48, 2], Operations: ['45+6=51', '51-49=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[48, 45, 6, 49], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [48, 6, 4]
Generated Node #0,0: 96:[48, 6, 4] Operation: 49-45=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[48, 6, 4], Operations: ['49-45=4']
Exploring Operation: 48/6=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 96:[4, 8] Operation: 48/6=8
Moving to Node #0,0,0
Current State: 96:[4, 8], Operations: ['49-45=4', '48/6=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
95,
79,
6,
68
] | 28 | [
"95-79=16",
"6*16=96",
"96-68=28"
] | Current State: 28:[95, 79, 6, 68], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [6, 68, 16]
Generated Node #2: [6, 68, 16] from Operation: 95-79=16
Current State: 28:[6, 68, 16], Operations: ['95-79=16']
Exploring Operation: 6*16=96, Resulting Numbers: [68, 96]
Generated Node #3: [68, 96] from Operation: 6*16=96
Current State: 28:[68, 96], Operations: ['95-79=16', '6*16=96']
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[95, 79, 6, 68], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [79, 6, 27]
Generated Node #0,0: 28:[79, 6, 27] Operation: 95-68=27
Exploring Operation: 95-79=16, Resulting Numbers: [6, 68, 16]
Generated Node #0,1: 28:[6, 68, 16] Operation: 95-79=16
Exploring Operation: 95-6=89, Resulting Numbers: [79, 68, 89]
Generated Node #0,2: 28:[79, 68, 89] Operation: 95-6=89
Exploring Operation: 79-68=11, Resulting Numbers: [95, 6, 11]
Generated Node #0,3: 28:[95, 6, 11] Operation: 79-68=11
Moving to Node #0,1
Current State: 28:[6, 68, 16], Operations: ['95-79=16']
Exploring Operation: 68-16=52, Resulting Numbers: [6, 52]
Generated Node #0,1,0: 28:[6, 52] Operation: 68-16=52
Exploring Operation: 68-6=62, Resulting Numbers: [16, 62]
Generated Node #0,1,1: 28:[16, 62] Operation: 68-6=62
Exploring Operation: 16-6=10, Resulting Numbers: [68, 10]
Generated Node #0,1,2: 28:[68, 10] Operation: 16-6=10
Exploring Operation: 6+16=22, Resulting Numbers: [68, 22]
Generated Node #0,1,3: 28:[68, 22] Operation: 6+16=22
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[6, 52], Operations: ['95-79=16', '68-16=52']
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,28 unequal: No Solution
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[16, 62], Operations: ['95-79=16', '68-6=62']
Exploring Operation: 16+62=78, Resulting Numbers: [78]
78,28 unequal: No Solution
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 16*62=992, Resulting Numbers: [992]
992,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[68, 10], Operations: ['95-79=16', '16-6=10']
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,28 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 28:[68, 22], Operations: ['95-79=16', '6+16=22']
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,28 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: 28:[79, 6, 27], Operations: ['95-68=27']
Exploring Operation: 79-27=52, Resulting Numbers: [6, 52]
Generated Node #0,0,0: 28:[6, 52] Operation: 79-27=52
Exploring Operation: 79+6=85, Resulting Numbers: [27, 85]
Generated Node #0,0,1: 28:[27, 85] Operation: 79+6=85
Exploring Operation: 6+27=33, Resulting Numbers: [79, 33]
Generated Node #0,0,2: 28:[79, 33] Operation: 6+27=33
Exploring Operation: 79-6=73, Resulting Numbers: [27, 73]
Generated Node #0,0,3: 28:[27, 73] Operation: 79-6=73
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[6, 52], Operations: ['95-68=27', '79-27=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,28 unequal: No Solution
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 28:[27, 73], Operations: ['95-68=27', '79-6=73']
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,28 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 27*73=1971, Resulting Numbers: [1971]
1971,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 28:[79, 33], Operations: ['95-68=27', '6+27=33']
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 79*33=2607, Resulting Numbers: [2607]
2607,28 unequal: No Solution
Exploring Operation: 79+33=112, Resulting Numbers: [112]
112,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[27, 85], Operations: ['95-68=27', '79+6=85']
Exploring Operation: 27+85=112, Resulting Numbers: [112]
112,28 unequal: No Solution
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 27*85=2295, Resulting Numbers: [2295]
2295,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 28:[95, 6, 11], Operations: ['79-68=11']
Exploring Operation: 6+11=17, Resulting Numbers: [95, 17]
Generated Node #0,3,0: 28:[95, 17] Operation: 6+11=17
Exploring Operation: 95-11=84, Resulting Numbers: [6, 84]
Generated Node #0,3,1: 28:[6, 84] Operation: 95-11=84
Exploring Operation: 95-6=89, Resulting Numbers: [11, 89]
Generated Node #0,3,2: 28:[11, 89] Operation: 95-6=89
Exploring Operation: 11-6=5, Resulting Numbers: [95, 5]
Generated Node #0,3,3: 28:[95, 5] Operation: 11-6=5
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 28:[6, 84], Operations: ['79-68=11', '95-11=84']
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,28 unequal: No Solution
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,28 unequal: No Solution
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 6*84=504, Resulting Numbers: [504]
504,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 28:[11, 89], Operations: ['79-68=11', '95-6=89']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,28 unequal: No Solution
Exploring Operation: 11+89=100, Resulting Numbers: [100]
100,28 unequal: No Solution
Exploring Operation: 11*89=979, Resulting Numbers: [979]
979,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 28:[95, 5], Operations: ['79-68=11', '11-6=5']
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,28 unequal: No Solution
Exploring Operation: 95*5=475, Resulting Numbers: [475]
475,28 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 28:[95, 17], Operations: ['79-68=11', '6+11=17']
Exploring Operation: 95*17=1615, Resulting Numbers: [1615]
1615,28 unequal: No Solution
Exploring Operation: 95-17=78, Resulting Numbers: [78]
78,28 unequal: No Solution
Exploring Operation: 95+17=112, Resulting Numbers: [112]
112,28 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: 28:[79, 68, 89], Operations: ['95-6=89']
Exploring Operation: 89-79=10, Resulting Numbers: [68, 10]
Generated Node #0,2,0: 28:[68, 10] Operation: 89-79=10
Exploring Operation: 89-68=21, Resulting Numbers: [79, 21]
Generated Node #0,2,1: 28:[79, 21] Operation: 89-68=21
Exploring Operation: 79-68=11, Resulting Numbers: [89, 11]
Generated Node #0,2,2: 28:[89, 11] Operation: 79-68=11
Exploring Operation: 79+68=147, Resulting Numbers: [89, 147]
Generated Node #0,2,3: 28:[89, 147] Operation: 79+68=147
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[68, 10], Operations: ['95-6=89', '89-79=10']
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,28 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,28 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[79, 21], Operations: ['95-6=89', '89-68=21']
Exploring Operation: 79+21=100, Resulting Numbers: [100]
100,28 unequal: No Solution
Exploring Operation: 79*21=1659, Resulting Numbers: [1659]
1659,28 unequal: No Solution
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[89, 11], Operations: ['95-6=89', '79-68=11']
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,28 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,28 unequal: No Solution
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 28:[89, 147], Operations: ['95-6=89', '79+68=147']
Exploring Operation: 89*147=13083, Resulting Numbers: [13083]
13083,28 unequal: No Solution
Exploring Operation: 147-89=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 89+147=236, Resulting Numbers: [236]
236,28 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 |
[
59,
50,
59,
28
] | 79 | [
"59/59=1",
"50+28=78",
"1+78=79"
] | Current State: 79:[59, 50, 59, 28], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [50, 28, 1]
Generated Node #2: [50, 28, 1] from Operation: 59/59=1
Current State: 79:[50, 28, 1], Operations: ['59/59=1']
Exploring Operation: 50+28=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 50+28=78
Current State: 79:[1, 78], Operations: ['59/59=1', '50+28=78']
Exploring Operation: 1+78=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[59, 50, 59, 28], Operations: []
Exploring Operation: 59-28=31, Resulting Numbers: [50, 59, 31]
Generated Node #0,0: 79:[50, 59, 31] Operation: 59-28=31
Exploring Operation: 59+28=87, Resulting Numbers: [50, 59, 87]
Generated Node #0,1: 79:[50, 59, 87] Operation: 59+28=87
Exploring Operation: 50+28=78, Resulting Numbers: [59, 59, 78]
Generated Node #0,2: 79:[59, 59, 78] Operation: 50+28=78
Exploring Operation: 59+28=87, Resulting Numbers: [59, 50, 87]
Generated Node #0,3: 79:[59, 50, 87] Operation: 59+28=87
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[59, 59, 78], Operations: ['50+28=78']
Exploring Operation: 59+59=118, Resulting Numbers: [78, 118]
Generated Node #0,2,0: 79:[78, 118] Operation: 59+59=118
Exploring Operation: 59+78=137, Resulting Numbers: [59, 137]
Generated Node #0,2,1: 79:[59, 137] Operation: 59+78=137
Exploring Operation: 59+78=137, Resulting Numbers: [59, 137]
Generated Node #0,2,2: 79:[59, 137] Operation: 59+78=137
Exploring Operation: 59/59=1, Resulting Numbers: [78, 1]
Generated Node #0,2,3: 79:[78, 1] Operation: 59/59=1
Moving to Node #0,2,0
Current State: 79:[78, 118], Operations: ['50+28=78', '59+59=118']
Exploring Operation: 78+118=196, Resulting Numbers: [196]
196,79 unequal: No Solution
Exploring Operation: 78*118=9204, Resulting Numbers: [9204]
9204,79 unequal: No Solution
Exploring Operation: 118-78=40, Resulting Numbers: [40]
40,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[59, 137], Operations: ['50+28=78', '59+78=137']
Exploring Operation: 59*137=8083, Resulting Numbers: [8083]
8083,79 unequal: No Solution
Exploring Operation: 59+137=196, Resulting Numbers: [196]
196,79 unequal: No Solution
Exploring Operation: 137-59=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[59, 137], Operations: ['50+28=78', '59+78=137']
Exploring Operation: 59*137=8083, Resulting Numbers: [8083]
8083,79 unequal: No Solution
Exploring Operation: 137-59=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 59+137=196, Resulting Numbers: [196]
196,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[78, 1], Operations: ['50+28=78', '59/59=1']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,79 unequal: No Solution
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[59, 50, 59, 28], Operations: []
Exploring Operation: 50+28=78, Resulting Numbers: [59, 59, 78]
Generated Node #0,2: 79:[59, 59, 78] Operation: 50+28=78
Moving to Node #0,2
Current State: 79:[59, 59, 78], Operations: ['50+28=78']
Exploring Operation: 59/59=1, Resulting Numbers: [78, 1]
Generated Node #0,2,3: 79:[78, 1] Operation: 59/59=1
Moving to Node #0,2,3
Current State: 79:[78, 1], Operations: ['50+28=78', '59/59=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | mult_heuristic |
[
48,
32,
45,
10
] | 19 | [
"48-32=16",
"45-10=35",
"35-16=19"
] | Current State: 19:[48, 32, 45, 10], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [45, 10, 16]
Generated Node #2: [45, 10, 16] from Operation: 48-32=16
Current State: 19:[45, 10, 16], Operations: ['48-32=16']
Exploring Operation: 45-10=35, Resulting Numbers: [16, 35]
Generated Node #3: [16, 35] from Operation: 45-10=35
Current State: 19:[16, 35], Operations: ['48-32=16', '45-10=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[48, 32, 45, 10], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [45, 10, 16]
Generated Node #0,0: 19:[45, 10, 16] Operation: 48-32=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[45, 10, 16], Operations: ['48-32=16']
Exploring Operation: 45-10=35, Resulting Numbers: [16, 35]
Generated Node #0,0,0: 19:[16, 35] Operation: 45-10=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[16, 35], Operations: ['48-32=16', '45-10=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[48, 32, 45, 10], Operations: []
Exploring Operation: 48-32=16, Resulting Numbers: [45, 10, 16]
Generated Node #0,0: 19:[45, 10, 16] Operation: 48-32=16
Moving to Node #0,0
Current State: 19:[45, 10, 16], Operations: ['48-32=16']
Exploring Operation: 45-10=35, Resulting Numbers: [16, 35]
Generated Node #0,0,0: 19:[16, 35] Operation: 45-10=35
Moving to Node #0,0,0
Current State: 19:[16, 35], Operations: ['48-32=16', '45-10=35']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
41,
41,
53,
40
] | 69 | [
"41+41=82",
"53-40=13",
"82-13=69"
] | Current State: 69:[41, 41, 53, 40], Operations: []
Exploring Operation: 41+41=82, Resulting Numbers: [53, 40, 82]
Generated Node #2: [53, 40, 82] from Operation: 41+41=82
Current State: 69:[53, 40, 82], Operations: ['41+41=82']
Exploring Operation: 53-40=13, Resulting Numbers: [82, 13]
Generated Node #3: [82, 13] from Operation: 53-40=13
Current State: 69:[82, 13], Operations: ['41+41=82', '53-40=13']
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[41, 41, 53, 40], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [41, 40, 12]
Generated Node #0,0: 69:[41, 40, 12] Operation: 53-41=12
Exploring Operation: 41-40=1, Resulting Numbers: [41, 53, 1]
Generated Node #0,1: 69:[41, 53, 1] Operation: 41-40=1
Exploring Operation: 41-40=1, Resulting Numbers: [41, 53, 1]
Generated Node #0,2: 69:[41, 53, 1] Operation: 41-40=1
Exploring Operation: 41-41=0, Resulting Numbers: [53, 40, 0]
Generated Node #0,3: 69:[53, 40, 0] Operation: 41-41=0
Exploring Operation: 41/41=1, Resulting Numbers: [53, 40, 1]
Generated Node #0,4: 69:[53, 40, 1] Operation: 41/41=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[53, 40, 1], Operations: ['41/41=1']
Exploring Operation: 53*1=53, Resulting Numbers: [40, 53]
Generated Node #0,4,0: 69:[40, 53] Operation: 53*1=53
Exploring Operation: 53+40=93, Resulting Numbers: [1, 93]
Generated Node #0,4,1: 69:[1, 93] Operation: 53+40=93
Exploring Operation: 40-1=39, Resulting Numbers: [53, 39]
Generated Node #0,4,2: 69:[53, 39] Operation: 40-1=39
Exploring Operation: 53+1=54, Resulting Numbers: [40, 54]
Generated Node #0,4,3: 69:[40, 54] Operation: 53+1=54
Exploring Operation: 53-40=13, Resulting Numbers: [1, 13]
Generated Node #0,4,4: 69:[1, 13] Operation: 53-40=13
Moving to Node #0,4,4
Current State: 69:[1, 13], Operations: ['41/41=1', '53-40=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Moving to Node #0,4,1
Current State: 69:[1, 93], Operations: ['41/41=1', '53+40=93']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 1+93=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 1*93=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Moving to Node #0,4,2
Current State: 69:[53, 39], Operations: ['41/41=1', '40-1=39']
Exploring Operation: 53*39=2067, Resulting Numbers: [2067]
2067,69 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 53+39=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Moving to Node #0,4,3
Current State: 69:[40, 54], Operations: ['41/41=1', '53+1=54']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,69 unequal: No Solution
Moving to Node #0,4,0
Current State: 69:[40, 53], Operations: ['41/41=1', '53*1=53']
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,69 unequal: No Solution
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[41, 53, 1], Operations: ['41-40=1']
Exploring Operation: 53+1=54, Resulting Numbers: [41, 54]
Generated Node #0,1,0: 69:[41, 54] Operation: 53+1=54
Exploring Operation: 41+53=94, Resulting Numbers: [1, 94]
Generated Node #0,1,1: 69:[1, 94] Operation: 41+53=94
Exploring Operation: 53-41=12, Resulting Numbers: [1, 12]
Generated Node #0,1,2: 69:[1, 12] Operation: 53-41=12
Exploring Operation: 41*1=41, Resulting Numbers: [53, 41]
Generated Node #0,1,3: 69:[53, 41] Operation: 41*1=41
Exploring Operation: 41-1=40, Resulting Numbers: [53, 40]
Generated Node #0,1,4: 69:[53, 40] Operation: 41-1=40
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 69:[1, 12], Operations: ['41-40=1', '53-41=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 69:[1, 94], Operations: ['41-40=1', '41+53=94']
Exploring Operation: 1*94=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 1+94=95, Resulting Numbers: [95]
95,69 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[41, 54], Operations: ['41-40=1', '53+1=54']
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 41*54=2214, Resulting Numbers: [2214]
2214,69 unequal: No Solution
Exploring Operation: 41+54=95, Resulting Numbers: [95]
95,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 69:[53, 40], Operations: ['41-40=1', '41-1=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,69 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 69:[53, 41], Operations: ['41-40=1', '41*1=41']
Exploring Operation: 53+41=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 53*41=2173, Resulting Numbers: [2173]
2173,69 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[41, 53, 1], Operations: ['41-40=1']
Exploring Operation: 53-41=12, Resulting Numbers: [1, 12]
Generated Node #0,2,0: 69:[1, 12] Operation: 53-41=12
Exploring Operation: 41+53=94, Resulting Numbers: [1, 94]
Generated Node #0,2,1: 69:[1, 94] Operation: 41+53=94
Exploring Operation: 53+1=54, Resulting Numbers: [41, 54]
Generated Node #0,2,2: 69:[41, 54] Operation: 53+1=54
Exploring Operation: 41-1=40, Resulting Numbers: [53, 40]
Generated Node #0,2,3: 69:[53, 40] Operation: 41-1=40
Exploring Operation: 41*1=41, Resulting Numbers: [53, 41]
Generated Node #0,2,4: 69:[53, 41] Operation: 41*1=41
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[1, 12], Operations: ['41-40=1', '53-41=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 69:[1, 94], Operations: ['41-40=1', '41+53=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 1*94=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 1+94=95, Resulting Numbers: [95]
95,69 unequal: No Solution
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 69:[41, 54], Operations: ['41-40=1', '53+1=54']
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 41*54=2214, Resulting Numbers: [2214]
2214,69 unequal: No Solution
Exploring Operation: 41+54=95, Resulting Numbers: [95]
95,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 69:[53, 40], Operations: ['41-40=1', '41-1=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,69 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 69:[53, 41], Operations: ['41-40=1', '41*1=41']
Exploring Operation: 53+41=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 53*41=2173, Resulting Numbers: [2173]
2173,69 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[53, 40, 0], Operations: ['41-41=0']
Exploring Operation: 53-40=13, Resulting Numbers: [0, 13]
Generated Node #0,3,0: 69:[0, 13] Operation: 53-40=13
Exploring Operation: 40*0=0, Resulting Numbers: [53, 0]
Generated Node #0,3,1: 69:[53, 0] Operation: 40*0=0
Exploring Operation: 53*0=0, Resulting Numbers: [40, 0]
Generated Node #0,3,2: 69:[40, 0] Operation: 53*0=0
Exploring Operation: 53+0=53, Resulting Numbers: [40, 53]
Generated Node #0,3,3: 69:[40, 53] Operation: 53+0=53
Exploring Operation: 53+40=93, Resulting Numbers: [0, 93]
Generated Node #0,3,4: 69:[0, 93] Operation: 53+40=93
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 69:[0, 13], Operations: ['41-41=0', '53-40=13']
Exploring Operation: 0+13=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 0*13=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 13-0=13, Resulting Numbers: [13]
13,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 69:[53, 0], Operations: ['41-41=0', '40*0=0']
Exploring Operation: 53+0=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 53-0=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 53*0=0, Resulting Numbers: [0]
0,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 69:[40, 0], Operations: ['41-41=0', '53*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 40-0=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 40*0=0, Resulting Numbers: [0]
0,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 69:[0, 93], Operations: ['41-41=0', '53+40=93']
Exploring Operation: 93-0=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 0+93=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 0*93=0, Resulting Numbers: [0]
0,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 69:[40, 53], Operations: ['41-41=0', '53+0=53']
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,69 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[41, 40, 12], Operations: ['53-41=12']
Exploring Operation: 41-40=1, Resulting Numbers: [12, 1]
Generated Node #0,0,0: 69:[12, 1] Operation: 41-40=1
Exploring Operation: 40-12=28, Resulting Numbers: [41, 28]
Generated Node #0,0,1: 69:[41, 28] Operation: 40-12=28
Exploring Operation: 41+40=81, Resulting Numbers: [12, 81]
Generated Node #0,0,2: 69:[12, 81] Operation: 41+40=81
Exploring Operation: 41-12=29, Resulting Numbers: [40, 29]
Generated Node #0,0,3: 69:[40, 29] Operation: 41-12=29
Exploring Operation: 41+12=53, Resulting Numbers: [40, 53]
Generated Node #0,0,4: 69:[40, 53] Operation: 41+12=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[12, 1], Operations: ['53-41=12', '41-40=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[12, 81], Operations: ['53-41=12', '41+40=81']
Exploring Operation: 12*81=972, Resulting Numbers: [972]
972,69 unequal: No Solution
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[41, 41, 53, 40], Operations: []
Exploring Operation: 53-41=12, Resulting Numbers: [41, 40, 12]
Generated Node #0,0: 69:[41, 40, 12] Operation: 53-41=12
Moving to Node #0,0
Current State: 69:[41, 40, 12], Operations: ['53-41=12']
Exploring Operation: 41+40=81, Resulting Numbers: [12, 81]
Generated Node #0,0,2: 69:[12, 81] Operation: 41+40=81
Moving to Node #0,0,2
Current State: 69:[12, 81], Operations: ['53-41=12', '41+40=81']
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.907986 | hs_5 | mult_heuristic |
[
40,
47,
28,
23
] | 36 | [
"40+47=87",
"28+23=51",
"87-51=36"
] | Current State: 36:[40, 47, 28, 23], Operations: []
Exploring Operation: 40+47=87, Resulting Numbers: [28, 23, 87]
Generated Node #2: [28, 23, 87] from Operation: 40+47=87
Current State: 36:[28, 23, 87], Operations: ['40+47=87']
Exploring Operation: 28+23=51, Resulting Numbers: [87, 51]
Generated Node #3: [87, 51] from Operation: 28+23=51
Current State: 36:[87, 51], Operations: ['40+47=87', '28+23=51']
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[40, 47, 28, 23], Operations: []
Exploring Operation: 47-40=7, Resulting Numbers: [28, 23, 7]
Generated Node #0,0: 36:[28, 23, 7] Operation: 47-40=7
Exploring Operation: 47-28=19, Resulting Numbers: [40, 23, 19]
Generated Node #0,1: 36:[40, 23, 19] Operation: 47-28=19
Moving to Node #0,1
Current State: 36:[40, 23, 19], Operations: ['47-28=19']
Exploring Operation: 40-23=17, Resulting Numbers: [19, 17]
Generated Node #0,1,0: 36:[19, 17] Operation: 40-23=17
Exploring Operation: 23-19=4, Resulting Numbers: [40, 4]
Generated Node #0,1,1: 36:[40, 4] Operation: 23-19=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[19, 17], Operations: ['47-28=19', '40-23=17']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[40, 47, 28, 23], Operations: []
Exploring Operation: 47-28=19, Resulting Numbers: [40, 23, 19]
Generated Node #0,1: 36:[40, 23, 19] Operation: 47-28=19
Moving to Node #0,1
Current State: 36:[40, 23, 19], Operations: ['47-28=19']
Exploring Operation: 40-23=17, Resulting Numbers: [19, 17]
Generated Node #0,1,0: 36:[19, 17] Operation: 40-23=17
Moving to Node #0,1,0
Current State: 36:[19, 17], Operations: ['47-28=19', '40-23=17']
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
97,
76,
85,
24
] | 64 | [
"97+76=173",
"85+24=109",
"173-109=64"
] | Current State: 64:[97, 76, 85, 24], Operations: []
Exploring Operation: 97+76=173, Resulting Numbers: [85, 24, 173]
Generated Node #2: [85, 24, 173] from Operation: 97+76=173
Current State: 64:[85, 24, 173], Operations: ['97+76=173']
Exploring Operation: 85+24=109, Resulting Numbers: [173, 109]
Generated Node #3: [173, 109] from Operation: 85+24=109
Current State: 64:[173, 109], Operations: ['97+76=173', '85+24=109']
Exploring Operation: 173-109=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[97, 76, 85, 24], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [85, 24, 21]
Generated Node #0,0: 64:[85, 24, 21] Operation: 97-76=21
Exploring Operation: 97-24=73, Resulting Numbers: [76, 85, 73]
Generated Node #0,1: 64:[76, 85, 73] Operation: 97-24=73
Exploring Operation: 85-76=9, Resulting Numbers: [97, 24, 9]
Generated Node #0,2: 64:[97, 24, 9] Operation: 85-76=9
Exploring Operation: 97-85=12, Resulting Numbers: [76, 24, 12]
Generated Node #0,3: 64:[76, 24, 12] Operation: 97-85=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[76, 24, 12], Operations: ['97-85=12']
Exploring Operation: 76-24=52, Resulting Numbers: [12, 52]
Generated Node #0,3,0: 64:[12, 52] Operation: 76-24=52
Exploring Operation: 24/12=2, Resulting Numbers: [76, 2]
Generated Node #0,3,1: 64:[76, 2] Operation: 24/12=2
Exploring Operation: 76-12=64, Resulting Numbers: [24, 64]
Generated Node #0,3,2: 64:[24, 64] Operation: 76-12=64
Exploring Operation: 24+12=36, Resulting Numbers: [76, 36]
Generated Node #0,3,3: 64:[76, 36] Operation: 24+12=36
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 64:[24, 64], Operations: ['97-85=12', '76-12=64']
Exploring Operation: 24+64=88, Resulting Numbers: [88]
88,64 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 24*64=1536, Resulting Numbers: [1536]
1536,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 64:[76, 2], Operations: ['97-85=12', '24/12=2']
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,64 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 64:[12, 52], Operations: ['97-85=12', '76-24=52']
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[97, 76, 85, 24], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [76, 24, 12]
Generated Node #0,3: 64:[76, 24, 12] Operation: 97-85=12
Moving to Node #0,3
Current State: 64:[76, 24, 12], Operations: ['97-85=12']
Exploring Operation: 76-24=52, Resulting Numbers: [12, 52]
Generated Node #0,3,0: 64:[12, 52] Operation: 76-24=52
Moving to Node #0,3,0
Current State: 64:[12, 52], Operations: ['97-85=12', '76-24=52']
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
2,
62,
11,
32
] | 81 | [
"2*62=124",
"11+32=43",
"124-43=81"
] | Current State: 81:[2, 62, 11, 32], Operations: []
Exploring Operation: 2*62=124, Resulting Numbers: [11, 32, 124]
Generated Node #2: [11, 32, 124] from Operation: 2*62=124
Current State: 81:[11, 32, 124], Operations: ['2*62=124']
Exploring Operation: 11+32=43, Resulting Numbers: [124, 43]
Generated Node #3: [124, 43] from Operation: 11+32=43
Current State: 81:[124, 43], Operations: ['2*62=124', '11+32=43']
Exploring Operation: 124-43=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[2, 62, 11, 32], Operations: []
Exploring Operation: 62-32=30, Resulting Numbers: [2, 11, 30]
Generated Node #0,0: 81:[2, 11, 30] Operation: 62-32=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[2, 11, 30], Operations: ['62-32=30']
Exploring Operation: 11-2=9, Resulting Numbers: [30, 9]
Generated Node #0,0,0: 81:[30, 9] Operation: 11-2=9
Moving to Node #0,0,0
Current State: 81:[30, 9], Operations: ['62-32=30', '11-2=9']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
7,
72,
45
] | 42 | [
"45-7=38",
"3*38=114",
"114-72=42"
] | Current State: 42:[3, 7, 72, 45], Operations: []
Exploring Operation: 45-7=38, Resulting Numbers: [3, 72, 38]
Generated Node #2: [3, 72, 38] from Operation: 45-7=38
Current State: 42:[3, 72, 38], Operations: ['45-7=38']
Exploring Operation: 3*38=114, Resulting Numbers: [72, 114]
Generated Node #3: [72, 114] from Operation: 3*38=114
Current State: 42:[72, 114], Operations: ['45-7=38', '3*38=114']
Exploring Operation: 114-72=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[3, 7, 72, 45], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [3, 7, 27]
Generated Node #0,0: 42:[3, 7, 27] Operation: 72-45=27
Exploring Operation: 72/3=24, Resulting Numbers: [7, 45, 24]
Generated Node #0,1: 42:[7, 45, 24] Operation: 72/3=24
Moving to Node #0,0
Current State: 42:[3, 7, 27], Operations: ['72-45=27']
Exploring Operation: 27-7=20, Resulting Numbers: [3, 20]
Generated Node #0,0,0: 42:[3, 20] Operation: 27-7=20
Exploring Operation: 27/3=9, Resulting Numbers: [7, 9]
Generated Node #0,0,1: 42:[7, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[3, 20], Operations: ['72-45=27', '27-7=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,42 unequal: No Solution
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[7, 9], Operations: ['72-45=27', '27/3=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 7+9=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 42:[7, 45, 24], Operations: ['72/3=24']
Exploring Operation: 24-7=17, Resulting Numbers: [45, 17]
Generated Node #0,1,0: 42:[45, 17] Operation: 24-7=17
Exploring Operation: 45-24=21, Resulting Numbers: [7, 21]
Generated Node #0,1,1: 42:[7, 21] Operation: 45-24=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[7, 21], Operations: ['72/3=24', '45-24=21']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,42 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[45, 17], Operations: ['72/3=24', '24-7=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
7,
20,
78,
92
] | 86 | [
"20-7=13",
"78/13=6",
"92-6=86"
] | Current State: 86:[7, 20, 78, 92], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [78, 92, 13]
Generated Node #2: [78, 92, 13] from Operation: 20-7=13
Current State: 86:[78, 92, 13], Operations: ['20-7=13']
Exploring Operation: 78/13=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 78/13=6
Current State: 86:[92, 6], Operations: ['20-7=13', '78/13=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[7, 20, 78, 92], Operations: []
Exploring Operation: 20+78=98, Resulting Numbers: [7, 92, 98]
Generated Node #0,0: 86:[7, 92, 98] Operation: 20+78=98
Exploring Operation: 20-7=13, Resulting Numbers: [78, 92, 13]
Generated Node #0,1: 86:[78, 92, 13] Operation: 20-7=13
Moving to Node #0,0
Current State: 86:[7, 92, 98], Operations: ['20+78=98']
Exploring Operation: 98-7=91, Resulting Numbers: [92, 91]
Generated Node #0,0,0: 86:[92, 91] Operation: 98-7=91
Exploring Operation: 98-92=6, Resulting Numbers: [7, 6]
Generated Node #0,0,1: 86:[7, 6] Operation: 98-92=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[7, 6], Operations: ['20+78=98', '98-92=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[92, 91], Operations: ['20+78=98', '98-7=91']
Exploring Operation: 92+91=183, Resulting Numbers: [183]
183,86 unequal: No Solution
Exploring Operation: 92-91=1, Resulting Numbers: [1]
1,86 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:[78, 92, 13], Operations: ['20-7=13']
Exploring Operation: 78+13=91, Resulting Numbers: [92, 91]
Generated Node #0,1,0: 86:[92, 91] Operation: 78+13=91
Exploring Operation: 78/13=6, Resulting Numbers: [92, 6]
Generated Node #0,1,1: 86:[92, 6] Operation: 78/13=6
Moving to Node #0,1,1
Current State: 86:[92, 6], Operations: ['20-7=13', '78/13=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,86 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[7, 20, 78, 92], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [78, 92, 13]
Generated Node #0,1: 86:[78, 92, 13] Operation: 20-7=13
Moving to Node #0,1
Current State: 86:[78, 92, 13], Operations: ['20-7=13']
Exploring Operation: 78/13=6, Resulting Numbers: [92, 6]
Generated Node #0,1,1: 86:[92, 6] Operation: 78/13=6
Moving to Node #0,1,1
Current State: 86:[92, 6], Operations: ['20-7=13', '78/13=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
54,
14,
2,
42
] | 36 | [
"54*14=756",
"42/2=21",
"756/21=36"
] | Current State: 36:[54, 14, 2, 42], Operations: []
Exploring Operation: 54*14=756, Resulting Numbers: [2, 42, 756]
Generated Node #2: [2, 42, 756] from Operation: 54*14=756
Current State: 36:[2, 42, 756], Operations: ['54*14=756']
Exploring Operation: 42/2=21, Resulting Numbers: [756, 21]
Generated Node #3: [756, 21] from Operation: 42/2=21
Current State: 36:[756, 21], Operations: ['54*14=756', '42/2=21']
Exploring Operation: 756/21=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[54, 14, 2, 42], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [14, 2, 12]
Generated Node #0,0: 36:[14, 2, 12] Operation: 54-42=12
Exploring Operation: 54/2=27, Resulting Numbers: [14, 42, 27]
Generated Node #0,1: 36:[14, 42, 27] Operation: 54/2=27
Exploring Operation: 54-14=40, Resulting Numbers: [2, 42, 40]
Generated Node #0,2: 36:[2, 42, 40] Operation: 54-14=40
Moving to Node #0,0
Current State: 36:[14, 2, 12], Operations: ['54-42=12']
Exploring Operation: 14-12=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 36:[2, 2] Operation: 14-12=2
Exploring Operation: 14-2=12, Resulting Numbers: [12, 12]
Generated Node #0,0,1: 36:[12, 12] Operation: 14-2=12
Exploring Operation: 14/2=7, Resulting Numbers: [12, 7]
Generated Node #0,0,2: 36:[12, 7] Operation: 14/2=7
Moving to Node #0,2
Current State: 36:[2, 42, 40], Operations: ['54-14=40']
Exploring Operation: 42-40=2, Resulting Numbers: [2, 2]
Generated Node #0,2,0: 36:[2, 2] Operation: 42-40=2
Exploring Operation: 42-2=40, Resulting Numbers: [40, 40]
Generated Node #0,2,1: 36:[40, 40] Operation: 42-2=40
Exploring Operation: 42/2=21, Resulting Numbers: [40, 21]
Generated Node #0,2,2: 36:[40, 21] Operation: 42/2=21
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[2, 2], Operations: ['54-14=40', '42-40=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[40, 21], Operations: ['54-14=40', '42/2=21']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,36 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[40, 40], Operations: ['54-14=40', '42-2=40']
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 36:[14, 42, 27], Operations: ['54/2=27']
Exploring Operation: 42-27=15, Resulting Numbers: [14, 15]
Generated Node #0,1,0: 36:[14, 15] Operation: 42-27=15
Exploring Operation: 42/14=3, Resulting Numbers: [27, 3]
Generated Node #0,1,1: 36:[27, 3] Operation: 42/14=3
Exploring Operation: 27-14=13, Resulting Numbers: [42, 13]
Generated Node #0,1,2: 36:[42, 13] Operation: 27-14=13
Moving to Node #0,0,0
Current State: 36:[2, 2], Operations: ['54-42=12', '14-12=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[12, 12], Operations: ['54-42=12', '14-2=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[12, 7], Operations: ['54-42=12', '14/2=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[14, 15], Operations: ['54/2=27', '42-27=15']
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,36 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[42, 13], Operations: ['54/2=27', '27-14=13']
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 42*13=546, Resulting Numbers: [546]
546,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[27, 3], Operations: ['54/2=27', '42/14=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,36 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,36 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,36 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
48,
25,
74
] | 62 | [
"48/24=2",
"74/2=37",
"25+37=62"
] | Current State: 62:[24, 48, 25, 74], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [25, 74, 2]
Generated Node #2: [25, 74, 2] from Operation: 48/24=2
Current State: 62:[25, 74, 2], Operations: ['48/24=2']
Exploring Operation: 74/2=37, Resulting Numbers: [25, 37]
Generated Node #3: [25, 37] from Operation: 74/2=37
Current State: 62:[25, 37], Operations: ['48/24=2', '74/2=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[24, 48, 25, 74], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [25, 74, 2]
Generated Node #0,0: 62:[25, 74, 2] Operation: 48/24=2
Exploring Operation: 48-24=24, Resulting Numbers: [25, 74, 24]
Generated Node #0,1: 62:[25, 74, 24] Operation: 48-24=24
Exploring Operation: 74-48=26, Resulting Numbers: [24, 25, 26]
Generated Node #0,2: 62:[24, 25, 26] Operation: 74-48=26
Moving to Node #0,0
Current State: 62:[25, 74, 2], Operations: ['48/24=2']
Exploring Operation: 25+2=27, Resulting Numbers: [74, 27]
Generated Node #0,0,0: 62:[74, 27] Operation: 25+2=27
Exploring Operation: 74-25=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 62:[2, 49] Operation: 74-25=49
Exploring Operation: 74/2=37, Resulting Numbers: [25, 37]
Generated Node #0,0,2: 62:[25, 37] Operation: 74/2=37
Moving to Node #0,2
Current State: 62:[24, 25, 26], Operations: ['74-48=26']
Exploring Operation: 25-24=1, Resulting Numbers: [26, 1]
Generated Node #0,2,0: 62:[26, 1] Operation: 25-24=1
Exploring Operation: 26-25=1, Resulting Numbers: [24, 1]
Generated Node #0,2,1: 62:[24, 1] Operation: 26-25=1
Exploring Operation: 26-24=2, Resulting Numbers: [25, 2]
Generated Node #0,2,2: 62:[25, 2] Operation: 26-24=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[26, 1], Operations: ['74-48=26', '25-24=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 62:[25, 2], Operations: ['74-48=26', '26-24=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,62 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 62:[24, 1], Operations: ['74-48=26', '26-25=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 62:[25, 74, 24], Operations: ['48-24=24']
Exploring Operation: 25-24=1, Resulting Numbers: [74, 1]
Generated Node #0,1,0: 62:[74, 1] Operation: 25-24=1
Exploring Operation: 74-24=50, Resulting Numbers: [25, 50]
Generated Node #0,1,1: 62:[25, 50] Operation: 74-24=50
Exploring Operation: 74-25=49, Resulting Numbers: [24, 49]
Generated Node #0,1,2: 62:[24, 49] Operation: 74-25=49
Moving to Node #0,0,2
Current State: 62:[25, 37], Operations: ['48/24=2', '74/2=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[24, 48, 25, 74], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [25, 74, 2]
Generated Node #0,0: 62:[25, 74, 2] Operation: 48/24=2
Moving to Node #0,0
Current State: 62:[25, 74, 2], Operations: ['48/24=2']
Exploring Operation: 74/2=37, Resulting Numbers: [25, 37]
Generated Node #0,0,2: 62:[25, 37] Operation: 74/2=37
Moving to Node #0,0,2
Current State: 62:[25, 37], Operations: ['48/24=2', '74/2=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
48,
67,
41,
82
] | 29 | [
"48*82=3936",
"3936/41=96",
"96-67=29"
] | Current State: 29:[48, 67, 41, 82], Operations: []
Exploring Operation: 48*82=3936, Resulting Numbers: [67, 41, 3936]
Generated Node #2: [67, 41, 3936] from Operation: 48*82=3936
Current State: 29:[67, 41, 3936], Operations: ['48*82=3936']
Exploring Operation: 3936/41=96, Resulting Numbers: [67, 96]
Generated Node #3: [67, 96] from Operation: 3936/41=96
Current State: 29:[67, 96], Operations: ['48*82=3936', '3936/41=96']
Exploring Operation: 96-67=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[48, 67, 41, 82], Operations: []
Exploring Operation: 67-41=26, Resulting Numbers: [48, 82, 26]
Generated Node #0,0: 29:[48, 82, 26] Operation: 67-41=26
Exploring Operation: 82-67=15, Resulting Numbers: [48, 41, 15]
Generated Node #0,1: 29:[48, 41, 15] Operation: 82-67=15
Exploring Operation: 67-48=19, Resulting Numbers: [41, 82, 19]
Generated Node #0,2: 29:[41, 82, 19] Operation: 67-48=19
Exploring Operation: 82-48=34, Resulting Numbers: [67, 41, 34]
Generated Node #0,3: 29:[67, 41, 34] Operation: 82-48=34
Exploring Operation: 82-41=41, Resulting Numbers: [48, 67, 41]
Generated Node #0,4: 29:[48, 67, 41] Operation: 82-41=41
Moving to Node #0,1
Current State: 29:[48, 41, 15], Operations: ['82-67=15']
Exploring Operation: 48-15=33, Resulting Numbers: [41, 33]
Generated Node #0,1,0: 29:[41, 33] Operation: 48-15=33
Exploring Operation: 48-41=7, Resulting Numbers: [15, 7]
Generated Node #0,1,1: 29:[15, 7] Operation: 48-41=7
Exploring Operation: 41-15=26, Resulting Numbers: [48, 26]
Generated Node #0,1,2: 29:[48, 26] Operation: 41-15=26
Exploring Operation: 41+15=56, Resulting Numbers: [48, 56]
Generated Node #0,1,3: 29:[48, 56] Operation: 41+15=56
Exploring Operation: 48+15=63, Resulting Numbers: [41, 63]
Generated Node #0,1,4: 29:[41, 63] Operation: 48+15=63
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[41, 33], Operations: ['82-67=15', '48-15=33']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 41*33=1353, Resulting Numbers: [1353]
1353,29 unequal: No Solution
Exploring Operation: 41+33=74, Resulting Numbers: [74]
74,29 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 #0,1,2
Current State: 29:[48, 26], Operations: ['82-67=15', '41-15=26']
Exploring Operation: 48*26=1248, Resulting Numbers: [1248]
1248,29 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,29 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 #0,1,1
Current State: 29:[15, 7], Operations: ['82-67=15', '48-41=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 15*7=105, Resulting Numbers: [105]
105,29 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,29 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 #0,1,3
Current State: 29:[48, 56], Operations: ['82-67=15', '41+15=56']
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,29 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,29 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 #0,1,4
Current State: 29:[41, 63], Operations: ['82-67=15', '48+15=63']
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,29 unequal: No Solution
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,29 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: 29:[67, 41, 34], Operations: ['82-48=34']
Exploring Operation: 41-34=7, Resulting Numbers: [67, 7]
Generated Node #0,3,0: 29:[67, 7] Operation: 41-34=7
Exploring Operation: 67+41=108, Resulting Numbers: [34, 108]
Generated Node #0,3,1: 29:[34, 108] Operation: 67+41=108
Exploring Operation: 67+34=101, Resulting Numbers: [41, 101]
Generated Node #0,3,2: 29:[41, 101] Operation: 67+34=101
Exploring Operation: 67-34=33, Resulting Numbers: [41, 33]
Generated Node #0,3,3: 29:[41, 33] Operation: 67-34=33
Exploring Operation: 67-41=26, Resulting Numbers: [34, 26]
Generated Node #0,3,4: 29:[34, 26] Operation: 67-41=26
Moving to Node #0,4
Current State: 29:[48, 67, 41], Operations: ['82-41=41']
Exploring Operation: 48-41=7, Resulting Numbers: [67, 7]
Generated Node #0,4,0: 29:[67, 7] Operation: 48-41=7
Exploring Operation: 67-48=19, Resulting Numbers: [41, 19]
Generated Node #0,4,1: 29:[41, 19] Operation: 67-48=19
Exploring Operation: 67-41=26, Resulting Numbers: [48, 26]
Generated Node #0,4,2: 29:[48, 26] Operation: 67-41=26
Exploring Operation: 48+67=115, Resulting Numbers: [41, 115]
Generated Node #0,4,3: 29:[41, 115] Operation: 48+67=115
Exploring Operation: 48+41=89, Resulting Numbers: [67, 89]
Generated Node #0,4,4: 29:[67, 89] Operation: 48+41=89
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 29:[41, 19], Operations: ['82-41=41', '67-48=19']
Exploring Operation: 41+19=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 41*19=779, Resulting Numbers: [779]
779,29 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 #0,4,2
Current State: 29:[48, 26], Operations: ['82-41=41', '67-41=26']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 48*26=1248, Resulting Numbers: [1248]
1248,29 unequal: No Solution
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,29 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 #0,4,0
Current State: 29:[67, 7], Operations: ['82-41=41', '48-41=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,29 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 #0,4,3
Current State: 29:[41, 115], Operations: ['82-41=41', '48+67=115']
Exploring Operation: 41*115=4715, Resulting Numbers: [4715]
4715,29 unequal: No Solution
Exploring Operation: 41+115=156, Resulting Numbers: [156]
156,29 unequal: No Solution
Exploring Operation: 115-41=74, Resulting Numbers: [74]
74,29 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 #0,4,4
Current State: 29:[67, 89], Operations: ['82-41=41', '48+41=89']
Exploring Operation: 67+89=156, Resulting Numbers: [156]
156,29 unequal: No Solution
Exploring Operation: 89-67=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 67*89=5963, Resulting Numbers: [5963]
5963,29 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: 29:[48, 82, 26], Operations: ['67-41=26']
Exploring Operation: 82+26=108, Resulting Numbers: [48, 108]
Generated Node #0,0,0: 29:[48, 108] Operation: 82+26=108
Exploring Operation: 82-26=56, Resulting Numbers: [48, 56]
Generated Node #0,0,1: 29:[48, 56] Operation: 82-26=56
Exploring Operation: 48+26=74, Resulting Numbers: [82, 74]
Generated Node #0,0,2: 29:[82, 74] Operation: 48+26=74
Exploring Operation: 48-26=22, Resulting Numbers: [82, 22]
Generated Node #0,0,3: 29:[82, 22] Operation: 48-26=22
Exploring Operation: 82-48=34, Resulting Numbers: [26, 34]
Generated Node #0,0,4: 29:[26, 34] Operation: 82-48=34
Moving to Node #0,2
Current State: 29:[41, 82, 19], Operations: ['67-48=19']
Exploring Operation: 41-19=22, Resulting Numbers: [82, 22]
Generated Node #0,2,0: 29:[82, 22] Operation: 41-19=22
Exploring Operation: 82/41=2, Resulting Numbers: [19, 2]
Generated Node #0,2,1: 29:[19, 2] Operation: 82/41=2
Exploring Operation: 82-19=63, Resulting Numbers: [41, 63]
Generated Node #0,2,2: 29:[41, 63] Operation: 82-19=63
Exploring Operation: 82-41=41, Resulting Numbers: [19, 41]
Generated Node #0,2,3: 29:[19, 41] Operation: 82-41=41
Exploring Operation: 41+19=60, Resulting Numbers: [82, 60]
Generated Node #0,2,4: 29:[82, 60] Operation: 41+19=60
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[19, 41], Operations: ['67-48=19', '82-41=41']
Exploring Operation: 19+41=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 19*41=779, Resulting Numbers: [779]
779,29 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 #0,2,1
Current State: 29:[19, 2], Operations: ['67-48=19', '82/41=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,29 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,29 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 #0,2,2
Current State: 29:[41, 63], Operations: ['67-48=19', '82-19=63']
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,29 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,29 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 #0,2,0
Current State: 29:[82, 22], Operations: ['67-48=19', '41-19=22']
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,29 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 #0,2,4
Current State: 29:[82, 60], Operations: ['67-48=19', '41+19=60']
Exploring Operation: 82+60=142, Resulting Numbers: [142]
142,29 unequal: No Solution
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Exploring Operation: 82*60=4920, Resulting Numbers: [4920]
4920,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 29:[34, 26], Operations: ['82-48=34', '67-41=26']
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,29 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[26, 34], Operations: ['67-41=26', '82-48=34']
Exploring Operation: 26*34=884, Resulting Numbers: [884]
884,29 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Moving to Node #0,3,3
Current State: 29:[41, 33], Operations: ['82-48=34', '67-34=33']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 41+33=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 41*33=1353, Resulting Numbers: [1353]
1353,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[48, 56], Operations: ['67-41=26', '82-26=56']
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,29 unequal: No Solution
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Moving to Node #0,3,0
Current State: 29:[67, 7], Operations: ['82-48=34', '41-34=7']
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,29 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[82, 22], Operations: ['67-41=26', '48-26=22']
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,29 unequal: No Solution
Moving to Node #0,3,2
Current State: 29:[41, 101], Operations: ['82-48=34', '67+34=101']
Exploring Operation: 41+101=142, Resulting Numbers: [142]
142,29 unequal: No Solution
Exploring Operation: 41*101=4141, Resulting Numbers: [4141]
4141,29 unequal: No Solution
Exploring Operation: 101-41=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[34, 108], Operations: ['82-48=34', '67+41=108']
Exploring Operation: 108-34=74, Resulting Numbers: [74]
74,29 unequal: No Solution
Exploring Operation: 34+108=142, Resulting Numbers: [142]
142,29 unequal: No Solution
Exploring Operation: 34*108=3672, Resulting Numbers: [3672]
3672,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[82, 74], Operations: ['67-41=26', '48+26=74']
Exploring Operation: 82*74=6068, Resulting Numbers: [6068]
6068,29 unequal: No Solution
Exploring Operation: 82-74=8, Resulting Numbers: [8]
8,29 unequal: No Solution
Exploring Operation: 82+74=156, Resulting Numbers: [156]
156,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[48, 108], Operations: ['67-41=26', '82+26=108']
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 48+108=156, Resulting Numbers: [156]
156,29 unequal: No Solution
Exploring Operation: 48*108=5184, Resulting Numbers: [5184]
5184,29 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
37,
43,
78,
20
] | 82 | [
"37+43=80",
"80/20=4",
"78+4=82"
] | Current State: 82:[37, 43, 78, 20], Operations: []
Exploring Operation: 37+43=80, Resulting Numbers: [78, 20, 80]
Generated Node #2: [78, 20, 80] from Operation: 37+43=80
Current State: 82:[78, 20, 80], Operations: ['37+43=80']
Exploring Operation: 80/20=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 80/20=4
Current State: 82:[78, 4], Operations: ['37+43=80', '80/20=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[37, 43, 78, 20], Operations: []
Exploring Operation: 78-37=41, Resulting Numbers: [43, 20, 41]
Generated Node #0,0: 82:[43, 20, 41] Operation: 78-37=41
Moving to Node #0,0
Current State: 82:[43, 20, 41], Operations: ['78-37=41']
Exploring Operation: 43-20=23, Resulting Numbers: [41, 23]
Generated Node #0,0,0: 82:[41, 23] Operation: 43-20=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[41, 23], Operations: ['78-37=41', '43-20=23']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,82 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 |
[
4,
97,
34,
17
] | 99 | [
"4+97=101",
"34/17=2",
"101-2=99"
] | Current State: 99:[4, 97, 34, 17], Operations: []
Exploring Operation: 4+97=101, Resulting Numbers: [34, 17, 101]
Generated Node #2: [34, 17, 101] from Operation: 4+97=101
Current State: 99:[34, 17, 101], Operations: ['4+97=101']
Exploring Operation: 34/17=2, Resulting Numbers: [101, 2]
Generated Node #3: [101, 2] from Operation: 34/17=2
Current State: 99:[101, 2], Operations: ['4+97=101', '34/17=2']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[4, 97, 34, 17], Operations: []
Exploring Operation: 17-4=13, Resulting Numbers: [97, 34, 13]
Generated Node #0,0: 99:[97, 34, 13] Operation: 17-4=13
Exploring Operation: 34/17=2, Resulting Numbers: [4, 97, 2]
Generated Node #0,1: 99:[4, 97, 2] Operation: 34/17=2
Moving to Node #0,1
Current State: 99:[4, 97, 2], Operations: ['34/17=2']
Exploring Operation: 97+2=99, Resulting Numbers: [4, 99]
Generated Node #0,1,0: 99:[4, 99] Operation: 97+2=99
Exploring Operation: 4+97=101, Resulting Numbers: [2, 101]
Generated Node #0,1,1: 99:[2, 101] Operation: 4+97=101
Moving to Node #0,0
Current State: 99:[97, 34, 13], Operations: ['17-4=13']
Exploring Operation: 97+13=110, Resulting Numbers: [34, 110]
Generated Node #0,0,0: 99:[34, 110] Operation: 97+13=110
Exploring Operation: 34-13=21, Resulting Numbers: [97, 21]
Generated Node #0,0,1: 99:[97, 21] Operation: 34-13=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[34, 110], Operations: ['17-4=13', '97+13=110']
Exploring Operation: 34+110=144, Resulting Numbers: [144]
144,99 unequal: No Solution
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,99 unequal: No Solution
No 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: 99:[97, 21], Operations: ['17-4=13', '34-13=21']
Exploring Operation: 97-21=76, Resulting Numbers: [76]
76,99 unequal: No Solution
Exploring Operation: 97+21=118, Resulting Numbers: [118]
118,99 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: 99:[4, 99], Operations: ['34/17=2', '97+2=99']
Exploring Operation: 4+99=103, Resulting Numbers: [103]
103,99 unequal: No Solution
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[2, 101], Operations: ['34/17=2', '4+97=101']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[4, 97, 34, 17], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [4, 97, 2]
Generated Node #0,1: 99:[4, 97, 2] Operation: 34/17=2
Moving to Node #0,1
Current State: 99:[4, 97, 2], Operations: ['34/17=2']
Exploring Operation: 4+97=101, Resulting Numbers: [2, 101]
Generated Node #0,1,1: 99:[2, 101] Operation: 4+97=101
Moving to Node #0,1,1
Current State: 99:[2, 101], Operations: ['34/17=2', '4+97=101']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
59,
82,
80,
94
] | 37 | [
"82-59=23",
"94-80=14",
"23+14=37"
] | Current State: 37:[59, 82, 80, 94], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [80, 94, 23]
Generated Node #2: [80, 94, 23] from Operation: 82-59=23
Current State: 37:[80, 94, 23], Operations: ['82-59=23']
Exploring Operation: 94-80=14, Resulting Numbers: [23, 14]
Generated Node #3: [23, 14] from Operation: 94-80=14
Current State: 37:[23, 14], Operations: ['82-59=23', '94-80=14']
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[59, 82, 80, 94], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [59, 80, 12]
Generated Node #0,0: 37:[59, 80, 12] Operation: 94-82=12
Exploring Operation: 94-59=35, Resulting Numbers: [82, 80, 35]
Generated Node #0,1: 37:[82, 80, 35] Operation: 94-59=35
Exploring Operation: 82-80=2, Resulting Numbers: [59, 94, 2]
Generated Node #0,2: 37:[59, 94, 2] Operation: 82-80=2
Exploring Operation: 82-59=23, Resulting Numbers: [80, 94, 23]
Generated Node #0,3: 37:[80, 94, 23] Operation: 82-59=23
Exploring Operation: 94-80=14, Resulting Numbers: [59, 82, 14]
Generated Node #0,4: 37:[59, 82, 14] Operation: 94-80=14
Moving to Node #0,0
Current State: 37:[59, 80, 12], Operations: ['94-82=12']
Exploring Operation: 59+12=71, Resulting Numbers: [80, 71]
Generated Node #0,0,0: 37:[80, 71] Operation: 59+12=71
Exploring Operation: 80-12=68, Resulting Numbers: [59, 68]
Generated Node #0,0,1: 37:[59, 68] Operation: 80-12=68
Exploring Operation: 59-12=47, Resulting Numbers: [80, 47]
Generated Node #0,0,2: 37:[80, 47] Operation: 59-12=47
Exploring Operation: 80+12=92, Resulting Numbers: [59, 92]
Generated Node #0,0,3: 37:[59, 92] Operation: 80+12=92
Exploring Operation: 80-59=21, Resulting Numbers: [12, 21]
Generated Node #0,0,4: 37:[12, 21] Operation: 80-59=21
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 37:[12, 21], Operations: ['94-82=12', '80-59=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,37 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:[59, 68], Operations: ['94-82=12', '80-12=68']
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,37 unequal: No Solution
Exploring Operation: 59*68=4012, Resulting Numbers: [4012]
4012,37 unequal: No Solution
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,37 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 #0,0,2
Current State: 37:[80, 47], Operations: ['94-82=12', '59-12=47']
Exploring Operation: 80*47=3760, Resulting Numbers: [3760]
3760,37 unequal: No Solution
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 80+47=127, Resulting Numbers: [127]
127,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[80, 71], Operations: ['94-82=12', '59+12=71']
Exploring Operation: 80-71=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 80+71=151, Resulting Numbers: [151]
151,37 unequal: No Solution
Exploring Operation: 80*71=5680, Resulting Numbers: [5680]
5680,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 37:[59, 92], Operations: ['94-82=12', '80+12=92']
Exploring Operation: 92-59=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Exploring Operation: 59+92=151, Resulting Numbers: [151]
151,37 unequal: No Solution
Exploring Operation: 59*92=5428, Resulting Numbers: [5428]
5428,37 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: 37:[59, 82, 14], Operations: ['94-80=14']
Exploring Operation: 59+14=73, Resulting Numbers: [82, 73]
Generated Node #0,4,0: 37:[82, 73] Operation: 59+14=73
Exploring Operation: 59-14=45, Resulting Numbers: [82, 45]
Generated Node #0,4,1: 37:[82, 45] Operation: 59-14=45
Exploring Operation: 82-59=23, Resulting Numbers: [14, 23]
Generated Node #0,4,2: 37:[14, 23] Operation: 82-59=23
Exploring Operation: 82+14=96, Resulting Numbers: [59, 96]
Generated Node #0,4,3: 37:[59, 96] Operation: 82+14=96
Exploring Operation: 82-14=68, Resulting Numbers: [59, 68]
Generated Node #0,4,4: 37:[59, 68] Operation: 82-14=68
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 37:[14, 23], Operations: ['94-80=14', '82-59=23']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[59, 82, 80, 94], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [59, 82, 14]
Generated Node #0,4: 37:[59, 82, 14] Operation: 94-80=14
Moving to Node #0,4
Current State: 37:[59, 82, 14], Operations: ['94-80=14']
Exploring Operation: 82-59=23, Resulting Numbers: [14, 23]
Generated Node #0,4,2: 37:[14, 23] Operation: 82-59=23
Moving to Node #0,4,2
Current State: 37:[14, 23], Operations: ['94-80=14', '82-59=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
41,
77,
98,
85
] | 23 | [
"77-41=36",
"98-85=13",
"36-13=23"
] | Current State: 23:[41, 77, 98, 85], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [98, 85, 36]
Generated Node #2: [98, 85, 36] from Operation: 77-41=36
Current State: 23:[98, 85, 36], Operations: ['77-41=36']
Exploring Operation: 98-85=13, Resulting Numbers: [36, 13]
Generated Node #3: [36, 13] from Operation: 98-85=13
Current State: 23:[36, 13], Operations: ['77-41=36', '98-85=13']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[41, 77, 98, 85], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [41, 85, 21]
Generated Node #0,0: 23:[41, 85, 21] Operation: 98-77=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[41, 85, 21], Operations: ['98-77=21']
Exploring Operation: 85-41=44, Resulting Numbers: [21, 44]
Generated Node #0,0,0: 23:[21, 44] Operation: 85-41=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[21, 44], Operations: ['98-77=21', '85-41=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[41, 77, 98, 85], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [41, 85, 21]
Generated Node #0,0: 23:[41, 85, 21] Operation: 98-77=21
Moving to Node #0,0
Current State: 23:[41, 85, 21], Operations: ['98-77=21']
Exploring Operation: 85-41=44, Resulting Numbers: [21, 44]
Generated Node #0,0,0: 23:[21, 44] Operation: 85-41=44
Moving to Node #0,0,0
Current State: 23:[21, 44], Operations: ['98-77=21', '85-41=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
9,
57,
41,
62
] | 45 | [
"9+57=66",
"62-41=21",
"66-21=45"
] | Current State: 45:[9, 57, 41, 62], Operations: []
Exploring Operation: 9+57=66, Resulting Numbers: [41, 62, 66]
Generated Node #2: [41, 62, 66] from Operation: 9+57=66
Current State: 45:[41, 62, 66], Operations: ['9+57=66']
Exploring Operation: 62-41=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 62-41=21
Current State: 45:[66, 21], Operations: ['9+57=66', '62-41=21']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[9, 57, 41, 62], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [9, 41, 5]
Generated Node #0,0: 45:[9, 41, 5] Operation: 62-57=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[9, 41, 5], Operations: ['62-57=5']
Exploring Operation: 41+5=46, Resulting Numbers: [9, 46]
Generated Node #0,0,0: 45:[9, 46] Operation: 41+5=46
Moving to Node #0,0,0
Current State: 45:[9, 46], Operations: ['62-57=5', '41+5=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
60,
97,
99
] | 10 | [
"60/3=20",
"99-97=2",
"20/2=10"
] | Current State: 10:[3, 60, 97, 99], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [97, 99, 20]
Generated Node #2: [97, 99, 20] from Operation: 60/3=20
Current State: 10:[97, 99, 20], Operations: ['60/3=20']
Exploring Operation: 99-97=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 99-97=2
Current State: 10:[20, 2], Operations: ['60/3=20', '99-97=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[3, 60, 97, 99], Operations: []
Exploring Operation: 97-60=37, Resulting Numbers: [3, 99, 37]
Generated Node #0,0: 10:[3, 99, 37] Operation: 97-60=37
Exploring Operation: 99-60=39, Resulting Numbers: [3, 97, 39]
Generated Node #0,1: 10:[3, 97, 39] Operation: 99-60=39
Exploring Operation: 99-97=2, Resulting Numbers: [3, 60, 2]
Generated Node #0,2: 10:[3, 60, 2] Operation: 99-97=2
Moving to Node #0,2
Current State: 10:[3, 60, 2], Operations: ['99-97=2']
Exploring Operation: 60/3=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 10:[2, 20] Operation: 60/3=20
Exploring Operation: 60-3=57, Resulting Numbers: [2, 57]
Generated Node #0,2,1: 10:[2, 57] Operation: 60-3=57
Exploring Operation: 60/2=30, Resulting Numbers: [3, 30]
Generated Node #0,2,2: 10:[3, 30] Operation: 60/2=30
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[2, 20], Operations: ['99-97=2', '60/3=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[3, 60, 97, 99], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [3, 60, 2]
Generated Node #0,2: 10:[3, 60, 2] Operation: 99-97=2
Moving to Node #0,2
Current State: 10:[3, 60, 2], Operations: ['99-97=2']
Exploring Operation: 60/3=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 10:[2, 20] Operation: 60/3=20
Moving to Node #0,2,0
Current State: 10:[2, 20], Operations: ['99-97=2', '60/3=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
68,
11,
84,
65
] | 76 | [
"68-11=57",
"84-65=19",
"57+19=76"
] | Current State: 76:[68, 11, 84, 65], Operations: []
Exploring Operation: 68-11=57, Resulting Numbers: [84, 65, 57]
Generated Node #2: [84, 65, 57] from Operation: 68-11=57
Current State: 76:[84, 65, 57], Operations: ['68-11=57']
Exploring Operation: 84-65=19, Resulting Numbers: [57, 19]
Generated Node #3: [57, 19] from Operation: 84-65=19
Current State: 76:[57, 19], Operations: ['68-11=57', '84-65=19']
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[68, 11, 84, 65], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [68, 11, 19]
Generated Node #0,0: 76:[68, 11, 19] Operation: 84-65=19
Exploring Operation: 68-65=3, Resulting Numbers: [11, 84, 3]
Generated Node #0,1: 76:[11, 84, 3] Operation: 68-65=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[68, 11, 19], Operations: ['84-65=19']
Exploring Operation: 68+11=79, Resulting Numbers: [19, 79]
Generated Node #0,0,0: 76:[19, 79] Operation: 68+11=79
Exploring Operation: 19-11=8, Resulting Numbers: [68, 8]
Generated Node #0,0,1: 76:[68, 8] Operation: 19-11=8
Moving to Node #0,0,0
Current State: 76:[19, 79], Operations: ['84-65=19', '68+11=79']
Exploring Operation: 19+79=98, Resulting Numbers: [98]
98,76 unequal: No Solution
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[68, 8], Operations: ['84-65=19', '19-11=8']
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[68, 11, 84, 65], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [68, 11, 19]
Generated Node #0,0: 76:[68, 11, 19] Operation: 84-65=19
Moving to Node #0,0
Current State: 76:[68, 11, 19], Operations: ['84-65=19']
Exploring Operation: 19-11=8, Resulting Numbers: [68, 8]
Generated Node #0,0,1: 76:[68, 8] Operation: 19-11=8
Moving to Node #0,0,1
Current State: 76:[68, 8], Operations: ['84-65=19', '19-11=8']
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
25,
91,
8,
84
] | 15 | [
"91+84=175",
"175/25=7",
"8+7=15"
] | Current State: 15:[25, 91, 8, 84], Operations: []
Exploring Operation: 91+84=175, Resulting Numbers: [25, 8, 175]
Generated Node #2: [25, 8, 175] from Operation: 91+84=175
Current State: 15:[25, 8, 175], Operations: ['91+84=175']
Exploring Operation: 175/25=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 175/25=7
Current State: 15:[8, 7], Operations: ['91+84=175', '175/25=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[25, 91, 8, 84], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [8, 84, 66]
Generated Node #0,0: 15:[8, 84, 66] Operation: 91-25=66
Exploring Operation: 91-84=7, Resulting Numbers: [25, 8, 7]
Generated Node #0,1: 15:[25, 8, 7] Operation: 91-84=7
Exploring Operation: 25-8=17, Resulting Numbers: [91, 84, 17]
Generated Node #0,2: 15:[91, 84, 17] Operation: 25-8=17
Exploring Operation: 84-25=59, Resulting Numbers: [91, 8, 59]
Generated Node #0,3: 15:[91, 8, 59] Operation: 84-25=59
Moving to Node #0,1
Current State: 15:[25, 8, 7], Operations: ['91-84=7']
Exploring Operation: 8+7=15, Resulting Numbers: [25, 15]
Generated Node #0,1,0: 15:[25, 15] Operation: 8+7=15
Exploring Operation: 25-7=18, Resulting Numbers: [8, 18]
Generated Node #0,1,1: 15:[8, 18] Operation: 25-7=18
Exploring Operation: 25-8=17, Resulting Numbers: [7, 17]
Generated Node #0,1,2: 15:[7, 17] Operation: 25-8=17
Exploring Operation: 8-7=1, Resulting Numbers: [25, 1]
Generated Node #0,1,3: 15:[25, 1] Operation: 8-7=1
Moving to Node #0,3
Current State: 15:[91, 8, 59], Operations: ['84-25=59']
Exploring Operation: 91-8=83, Resulting Numbers: [59, 83]
Generated Node #0,3,0: 15:[59, 83] Operation: 91-8=83
Exploring Operation: 91+8=99, Resulting Numbers: [59, 99]
Generated Node #0,3,1: 15:[59, 99] Operation: 91+8=99
Exploring Operation: 91-59=32, Resulting Numbers: [8, 32]
Generated Node #0,3,2: 15:[8, 32] Operation: 91-59=32
Exploring Operation: 59-8=51, Resulting Numbers: [91, 51]
Generated Node #0,3,3: 15:[91, 51] Operation: 59-8=51
Moving to Node #0,0
Current State: 15:[8, 84, 66], Operations: ['91-25=66']
Exploring Operation: 84-66=18, Resulting Numbers: [8, 18]
Generated Node #0,0,0: 15:[8, 18] Operation: 84-66=18
Exploring Operation: 66-8=58, Resulting Numbers: [84, 58]
Generated Node #0,0,1: 15:[84, 58] Operation: 66-8=58
Exploring Operation: 84-8=76, Resulting Numbers: [66, 76]
Generated Node #0,0,2: 15:[66, 76] Operation: 84-8=76
Exploring Operation: 8+84=92, Resulting Numbers: [66, 92]
Generated Node #0,0,3: 15:[66, 92] Operation: 8+84=92
Moving to Node #0,2
Current State: 15:[91, 84, 17], Operations: ['25-8=17']
Exploring Operation: 91-84=7, Resulting Numbers: [17, 7]
Generated Node #0,2,0: 15:[17, 7] Operation: 91-84=7
Exploring Operation: 84-17=67, Resulting Numbers: [91, 67]
Generated Node #0,2,1: 15:[91, 67] Operation: 84-17=67
Exploring Operation: 91-17=74, Resulting Numbers: [84, 74]
Generated Node #0,2,2: 15:[84, 74] Operation: 91-17=74
Exploring Operation: 91+84=175, Resulting Numbers: [17, 175]
Generated Node #0,2,3: 15:[17, 175] Operation: 91+84=175
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[17, 7], Operations: ['25-8=17', '91-84=7']
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,15 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,15 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 #0,2,1
Current State: 15:[91, 67], Operations: ['25-8=17', '84-17=67']
Exploring Operation: 91*67=6097, Resulting Numbers: [6097]
6097,15 unequal: No Solution
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 91+67=158, Resulting Numbers: [158]
158,15 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 #0,2,2
Current State: 15:[84, 74], Operations: ['25-8=17', '91-17=74']
Exploring Operation: 84+74=158, Resulting Numbers: [158]
158,15 unequal: No Solution
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 84*74=6216, Resulting Numbers: [6216]
6216,15 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 #0,2,3
Current State: 15:[17, 175], Operations: ['25-8=17', '91+84=175']
Exploring Operation: 17*175=2975, Resulting Numbers: [2975]
2975,15 unequal: No Solution
Exploring Operation: 17+175=192, Resulting Numbers: [192]
192,15 unequal: No Solution
Exploring Operation: 175-17=158, Resulting Numbers: [158]
158,15 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: 15:[7, 17], Operations: ['91-84=7', '25-8=17']
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,15 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[8, 18], Operations: ['91-84=7', '25-7=18']
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[8, 18], Operations: ['91-25=66', '84-66=18']
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,15 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[25, 15], Operations: ['91-84=7', '8+7=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,15 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[25, 1], Operations: ['91-84=7', '8-7=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[8, 32], Operations: ['84-25=59', '91-59=32']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 8*32=256, Resulting Numbers: [256]
256,15 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[91, 51], Operations: ['84-25=59', '59-8=51']
Exploring Operation: 91*51=4641, Resulting Numbers: [4641]
4641,15 unequal: No Solution
Exploring Operation: 91-51=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 91+51=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[59, 83], Operations: ['84-25=59', '91-8=83']
Exploring Operation: 59+83=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 59*83=4897, Resulting Numbers: [4897]
4897,15 unequal: No Solution
Exploring Operation: 83-59=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[84, 58], Operations: ['91-25=66', '66-8=58']
Exploring Operation: 84+58=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 84*58=4872, Resulting Numbers: [4872]
4872,15 unequal: No Solution
Exploring Operation: 84-58=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[66, 76], Operations: ['91-25=66', '84-8=76']
Exploring Operation: 76-66=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 66+76=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 66*76=5016, Resulting Numbers: [5016]
5016,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[59, 99], Operations: ['84-25=59', '91+8=99']
Exploring Operation: 59*99=5841, Resulting Numbers: [5841]
5841,15 unequal: No Solution
Exploring Operation: 59+99=158, Resulting Numbers: [158]
158,15 unequal: No Solution
Exploring Operation: 99-59=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[66, 92], Operations: ['91-25=66', '8+84=92']
Exploring Operation: 66*92=6072, Resulting Numbers: [6072]
6072,15 unequal: No Solution
Exploring Operation: 66+92=158, Resulting Numbers: [158]
158,15 unequal: No Solution
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,15 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
19,
68,
87,
3
] | 41 | [
"68-19=49",
"87+3=90",
"90-49=41"
] | Current State: 41:[19, 68, 87, 3], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [87, 3, 49]
Generated Node #2: [87, 3, 49] from Operation: 68-19=49
Current State: 41:[87, 3, 49], Operations: ['68-19=49']
Exploring Operation: 87+3=90, Resulting Numbers: [49, 90]
Generated Node #3: [49, 90] from Operation: 87+3=90
Current State: 41:[49, 90], Operations: ['68-19=49', '87+3=90']
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[19, 68, 87, 3], Operations: []
Exploring Operation: 19*3=57, Resulting Numbers: [68, 87, 57]
Generated Node #0,0: 41:[68, 87, 57] Operation: 19*3=57
Exploring Operation: 68-19=49, Resulting Numbers: [87, 3, 49]
Generated Node #0,1: 41:[87, 3, 49] Operation: 68-19=49
Exploring Operation: 87/3=29, Resulting Numbers: [19, 68, 29]
Generated Node #0,2: 41:[19, 68, 29] Operation: 87/3=29
Exploring Operation: 87-19=68, Resulting Numbers: [68, 3, 68]
Generated Node #0,3: 41:[68, 3, 68] Operation: 87-19=68
Exploring Operation: 87-68=19, Resulting Numbers: [19, 3, 19]
Generated Node #0,4: 41:[19, 3, 19] Operation: 87-68=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[19, 68, 29], Operations: ['87/3=29']
Exploring Operation: 19+29=48, Resulting Numbers: [68, 48]
Generated Node #0,2,0: 41:[68, 48] Operation: 19+29=48
Exploring Operation: 29-19=10, Resulting Numbers: [68, 10]
Generated Node #0,2,1: 41:[68, 10] Operation: 29-19=10
Exploring Operation: 68-19=49, Resulting Numbers: [29, 49]
Generated Node #0,2,2: 41:[29, 49] Operation: 68-19=49
Exploring Operation: 68-29=39, Resulting Numbers: [19, 39]
Generated Node #0,2,3: 41:[19, 39] Operation: 68-29=39
Exploring Operation: 19+68=87, Resulting Numbers: [29, 87]
Generated Node #0,2,4: 41:[29, 87] Operation: 19+68=87
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 41:[29, 49], Operations: ['87/3=29', '68-19=49']
Exploring Operation: 29*49=1421, Resulting Numbers: [1421]
1421,41 unequal: No Solution
Exploring Operation: 29+49=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 41:[19, 39], Operations: ['87/3=29', '68-29=39']
Exploring Operation: 19*39=741, Resulting Numbers: [741]
741,41 unequal: No Solution
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,41 unequal: No Solution
Exploring Operation: 19+39=58, Resulting Numbers: [58]
58,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[68, 48], Operations: ['87/3=29', '19+29=48']
Exploring Operation: 68+48=116, Resulting Numbers: [116]
116,41 unequal: No Solution
Exploring Operation: 68*48=3264, Resulting Numbers: [3264]
3264,41 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 41:[68, 10], Operations: ['87/3=29', '29-19=10']
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,41 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,41 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 41:[29, 87], Operations: ['87/3=29', '19+68=87']
Exploring Operation: 87/29=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 87-29=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 29*87=2523, Resulting Numbers: [2523]
2523,41 unequal: No Solution
Exploring Operation: 29+87=116, Resulting Numbers: [116]
116,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 41:[19, 3, 19], Operations: ['87-68=19']
Exploring Operation: 19*3=57, Resulting Numbers: [19, 57]
Generated Node #0,4,0: 41:[19, 57] Operation: 19*3=57
Exploring Operation: 19+3=22, Resulting Numbers: [19, 22]
Generated Node #0,4,1: 41:[19, 22] Operation: 19+3=22
Exploring Operation: 19+19=38, Resulting Numbers: [3, 38]
Generated Node #0,4,2: 41:[3, 38] Operation: 19+19=38
Exploring Operation: 3+19=22, Resulting Numbers: [19, 22]
Generated Node #0,4,3: 41:[19, 22] Operation: 3+19=22
Exploring Operation: 3*19=57, Resulting Numbers: [19, 57]
Generated Node #0,4,4: 41:[19, 57] Operation: 3*19=57
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 41:[19, 57], Operations: ['87-68=19', '19*3=57']
Exploring Operation: 19*57=1083, Resulting Numbers: [1083]
1083,41 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 19+57=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 41:[19, 57], Operations: ['87-68=19', '3*19=57']
Exploring Operation: 19+57=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,41 unequal: No Solution
Exploring Operation: 19*57=1083, Resulting Numbers: [1083]
1083,41 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 41:[19, 22], Operations: ['87-68=19', '19+3=22']
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,41 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[19, 68, 87, 3], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [19, 3, 19]
Generated Node #0,4: 41:[19, 3, 19] Operation: 87-68=19
Moving to Node #0,4
Current State: 41:[19, 3, 19], Operations: ['87-68=19']
Exploring Operation: 19+3=22, Resulting Numbers: [19, 22]
Generated Node #0,4,1: 41:[19, 22] Operation: 19+3=22
Moving to Node #0,4,1
Current State: 41:[19, 22], Operations: ['87-68=19', '19+3=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960069 | hs_5 | sum_heuristic |
[
66,
13,
46,
17
] | 82 | [
"66-13=53",
"46-17=29",
"53+29=82"
] | Current State: 82:[66, 13, 46, 17], Operations: []
Exploring Operation: 66-13=53, Resulting Numbers: [46, 17, 53]
Generated Node #2: [46, 17, 53] from Operation: 66-13=53
Current State: 82:[46, 17, 53], Operations: ['66-13=53']
Exploring Operation: 46-17=29, Resulting Numbers: [53, 29]
Generated Node #3: [53, 29] from Operation: 46-17=29
Current State: 82:[53, 29], Operations: ['66-13=53', '46-17=29']
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[66, 13, 46, 17], Operations: []
Exploring Operation: 66+17=83, Resulting Numbers: [13, 46, 83]
Generated Node #0,0: 82:[13, 46, 83] Operation: 66+17=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[13, 46, 83], Operations: ['66+17=83']
Exploring Operation: 46-13=33, Resulting Numbers: [83, 33]
Generated Node #0,0,0: 82:[83, 33] Operation: 46-13=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[83, 33], Operations: ['66+17=83', '46-13=33']
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
9,
22,
83
] | 51 | [
"3*83=249",
"9*22=198",
"249-198=51"
] | Current State: 51:[3, 9, 22, 83], Operations: []
Exploring Operation: 3*83=249, Resulting Numbers: [9, 22, 249]
Generated Node #2: [9, 22, 249] from Operation: 3*83=249
Current State: 51:[9, 22, 249], Operations: ['3*83=249']
Exploring Operation: 9*22=198, Resulting Numbers: [249, 198]
Generated Node #3: [249, 198] from Operation: 9*22=198
Current State: 51:[249, 198], Operations: ['3*83=249', '9*22=198']
Exploring Operation: 249-198=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[3, 9, 22, 83], Operations: []
Exploring Operation: 83-22=61, Resulting Numbers: [3, 9, 61]
Generated Node #0,0: 51:[3, 9, 61] Operation: 83-22=61
Exploring Operation: 83-9=74, Resulting Numbers: [3, 22, 74]
Generated Node #0,1: 51:[3, 22, 74] Operation: 83-9=74
Exploring Operation: 22-9=13, Resulting Numbers: [3, 83, 13]
Generated Node #0,2: 51:[3, 83, 13] Operation: 22-9=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[3, 9, 61], Operations: ['83-22=61']
Exploring Operation: 9-3=6, Resulting Numbers: [61, 6]
Generated Node #0,0,0: 51:[61, 6] Operation: 9-3=6
Exploring Operation: 61-9=52, Resulting Numbers: [3, 52]
Generated Node #0,0,1: 51:[3, 52] Operation: 61-9=52
Exploring Operation: 9/3=3, Resulting Numbers: [61, 3]
Generated Node #0,0,2: 51:[61, 3] Operation: 9/3=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[3, 52], Operations: ['83-22=61', '61-9=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[61, 3], Operations: ['83-22=61', '9/3=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[61, 6], Operations: ['83-22=61', '9-3=6']
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,51 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[3, 22, 74], Operations: ['83-9=74']
Exploring Operation: 74-22=52, Resulting Numbers: [3, 52]
Generated Node #0,1,0: 51:[3, 52] Operation: 74-22=52
Exploring Operation: 22-3=19, Resulting Numbers: [74, 19]
Generated Node #0,1,1: 51:[74, 19] Operation: 22-3=19
Exploring Operation: 74-3=71, Resulting Numbers: [22, 71]
Generated Node #0,1,2: 51:[22, 71] Operation: 74-3=71
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[3, 52], Operations: ['83-9=74', '74-22=52']
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,51 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[74, 19], Operations: ['83-9=74', '22-3=19']
Exploring Operation: 74*19=1406, Resulting Numbers: [1406]
1406,51 unequal: No Solution
Exploring Operation: 74+19=93, Resulting Numbers: [93]
93,51 unequal: No Solution
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[22, 71], Operations: ['83-9=74', '74-3=71']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 22*71=1562, Resulting Numbers: [1562]
1562,51 unequal: No Solution
Exploring Operation: 22+71=93, Resulting Numbers: [93]
93,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[3, 83, 13], Operations: ['22-9=13']
Exploring Operation: 83-3=80, Resulting Numbers: [13, 80]
Generated Node #0,2,0: 51:[13, 80] Operation: 83-3=80
Exploring Operation: 83-13=70, Resulting Numbers: [3, 70]
Generated Node #0,2,1: 51:[3, 70] Operation: 83-13=70
Exploring Operation: 3+13=16, Resulting Numbers: [83, 16]
Generated Node #0,2,2: 51:[83, 16] Operation: 3+13=16
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[3, 70], Operations: ['22-9=13', '83-13=70']
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,51 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,51 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[13, 80], Operations: ['22-9=13', '83-3=80']
Exploring Operation: 13*80=1040, Resulting Numbers: [1040]
1040,51 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[83, 16], Operations: ['22-9=13', '3+13=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,51 unequal: No Solution
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,51 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_3 | mult_heuristic |
[
2,
21,
93,
12
] | 48 | [
"2*12=24",
"93-21=72",
"72-24=48"
] | Current State: 48:[2, 21, 93, 12], Operations: []
Exploring Operation: 2*12=24, Resulting Numbers: [21, 93, 24]
Generated Node #2: [21, 93, 24] from Operation: 2*12=24
Current State: 48:[21, 93, 24], Operations: ['2*12=24']
Exploring Operation: 93-21=72, Resulting Numbers: [24, 72]
Generated Node #3: [24, 72] from Operation: 93-21=72
Current State: 48:[24, 72], Operations: ['2*12=24', '93-21=72']
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[2, 21, 93, 12], Operations: []
Exploring Operation: 93-12=81, Resulting Numbers: [2, 21, 81]
Generated Node #0,0: 48:[2, 21, 81] Operation: 93-12=81
Exploring Operation: 93-21=72, Resulting Numbers: [2, 12, 72]
Generated Node #0,1: 48:[2, 12, 72] Operation: 93-21=72
Moving to Node #0,1
Current State: 48:[2, 12, 72], Operations: ['93-21=72']
Exploring Operation: 72/12=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 48:[2, 6] Operation: 72/12=6
Exploring Operation: 72/2=36, Resulting Numbers: [12, 36]
Generated Node #0,1,1: 48:[12, 36] Operation: 72/2=36
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[2, 6], Operations: ['93-21=72', '72/12=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,48 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 #0,1,1
Current State: 48:[12, 36], Operations: ['93-21=72', '72/2=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[2, 21, 93, 12], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [2, 12, 72]
Generated Node #0,1: 48:[2, 12, 72] Operation: 93-21=72
Moving to Node #0,1
Current State: 48:[2, 12, 72], Operations: ['93-21=72']
Exploring Operation: 72/2=36, Resulting Numbers: [12, 36]
Generated Node #0,1,1: 48:[12, 36] Operation: 72/2=36
Moving to Node #0,1,1
Current State: 48:[12, 36], Operations: ['93-21=72', '72/2=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
25,
41,
91,
78
] | 76 | [
"91-41=50",
"50/25=2",
"78-2=76"
] | Current State: 76:[25, 41, 91, 78], Operations: []
Exploring Operation: 91-41=50, Resulting Numbers: [25, 78, 50]
Generated Node #2: [25, 78, 50] from Operation: 91-41=50
Current State: 76:[25, 78, 50], Operations: ['91-41=50']
Exploring Operation: 50/25=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 50/25=2
Current State: 76:[78, 2], Operations: ['91-41=50', '50/25=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[25, 41, 91, 78], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [41, 78, 66]
Generated Node #0,0: 76:[41, 78, 66] Operation: 91-25=66
Exploring Operation: 91-78=13, Resulting Numbers: [25, 41, 13]
Generated Node #0,1: 76:[25, 41, 13] Operation: 91-78=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[41, 78, 66], Operations: ['91-25=66']
Exploring Operation: 78-66=12, Resulting Numbers: [41, 12]
Generated Node #0,0,0: 76:[41, 12] Operation: 78-66=12
Exploring Operation: 66-41=25, Resulting Numbers: [78, 25]
Generated Node #0,0,1: 76:[78, 25] Operation: 66-41=25
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[78, 25], Operations: ['91-25=66', '66-41=25']
Exploring Operation: 78+25=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,76 unequal: No Solution
No 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: 76:[41, 12], Operations: ['91-25=66', '78-66=12']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,76 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: 76:[25, 41, 13], Operations: ['91-78=13']
Exploring Operation: 41-25=16, Resulting Numbers: [13, 16]
Generated Node #0,1,0: 76:[13, 16] Operation: 41-25=16
Exploring Operation: 25+13=38, Resulting Numbers: [41, 38]
Generated Node #0,1,1: 76:[41, 38] Operation: 25+13=38
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[41, 38], Operations: ['91-78=13', '25+13=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,76 unequal: No Solution
No 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: 76:[13, 16], Operations: ['91-78=13', '41-25=16']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,76 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 |
[
79,
30,
34,
4
] | 78 | [
"34-30=4",
"4/4=1",
"79-1=78"
] | Current State: 78:[79, 30, 34, 4], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [79, 4, 4]
Generated Node #2: [79, 4, 4] from Operation: 34-30=4
Current State: 78:[79, 4, 4], Operations: ['34-30=4']
Exploring Operation: 4/4=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 4/4=1
Current State: 78:[79, 1], Operations: ['34-30=4', '4/4=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[79, 30, 34, 4], Operations: []
Exploring Operation: 30-4=26, Resulting Numbers: [79, 34, 26]
Generated Node #0,0: 78:[79, 34, 26] Operation: 30-4=26
Exploring Operation: 34-30=4, Resulting Numbers: [79, 4, 4]
Generated Node #0,1: 78:[79, 4, 4] Operation: 34-30=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[79, 4, 4], Operations: ['34-30=4']
Exploring Operation: 4/4=1, Resulting Numbers: [79, 1]
Generated Node #0,1,0: 78:[79, 1] Operation: 4/4=1
Exploring Operation: 4+4=8, Resulting Numbers: [79, 8]
Generated Node #0,1,1: 78:[79, 8] Operation: 4+4=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[79, 1], Operations: ['34-30=4', '4/4=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[79, 30, 34, 4], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [79, 4, 4]
Generated Node #0,1: 78:[79, 4, 4] Operation: 34-30=4
Moving to Node #0,1
Current State: 78:[79, 4, 4], Operations: ['34-30=4']
Exploring Operation: 4/4=1, Resulting Numbers: [79, 1]
Generated Node #0,1,0: 78:[79, 1] Operation: 4/4=1
Moving to Node #0,1,0
Current State: 78:[79, 1], Operations: ['34-30=4', '4/4=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
40,
33,
70,
75
] | 85 | [
"40-33=7",
"70/7=10",
"75+10=85"
] | Current State: 85:[40, 33, 70, 75], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [70, 75, 7]
Generated Node #2: [70, 75, 7] from Operation: 40-33=7
Current State: 85:[70, 75, 7], Operations: ['40-33=7']
Exploring Operation: 70/7=10, Resulting Numbers: [75, 10]
Generated Node #3: [75, 10] from Operation: 70/7=10
Current State: 85:[75, 10], Operations: ['40-33=7', '70/7=10']
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[40, 33, 70, 75], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [70, 75, 7]
Generated Node #0,0: 85:[70, 75, 7] Operation: 40-33=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[70, 75, 7], Operations: ['40-33=7']
Exploring Operation: 75-70=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 85:[7, 5] Operation: 75-70=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[7, 5], Operations: ['40-33=7', '75-70=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
92,
39,
73
] | 74 | [
"92-52=40",
"73-39=34",
"40+34=74"
] | Current State: 74:[52, 92, 39, 73], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [39, 73, 40]
Generated Node #2: [39, 73, 40] from Operation: 92-52=40
Current State: 74:[39, 73, 40], Operations: ['92-52=40']
Exploring Operation: 73-39=34, Resulting Numbers: [40, 34]
Generated Node #3: [40, 34] from Operation: 73-39=34
Current State: 74:[40, 34], Operations: ['92-52=40', '73-39=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[52, 92, 39, 73], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [39, 73, 40]
Generated Node #0,0: 74:[39, 73, 40] Operation: 92-52=40
Exploring Operation: 52-39=13, Resulting Numbers: [92, 73, 13]
Generated Node #0,1: 74:[92, 73, 13] Operation: 52-39=13
Exploring Operation: 92-39=53, Resulting Numbers: [52, 73, 53]
Generated Node #0,2: 74:[52, 73, 53] Operation: 92-39=53
Exploring Operation: 92-73=19, Resulting Numbers: [52, 39, 19]
Generated Node #0,3: 74:[52, 39, 19] Operation: 92-73=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[39, 73, 40], Operations: ['92-52=40']
Exploring Operation: 73-40=33, Resulting Numbers: [39, 33]
Generated Node #0,0,0: 74:[39, 33] Operation: 73-40=33
Exploring Operation: 40-39=1, Resulting Numbers: [73, 1]
Generated Node #0,0,1: 74:[73, 1] Operation: 40-39=1
Exploring Operation: 73-39=34, Resulting Numbers: [40, 34]
Generated Node #0,0,2: 74:[40, 34] Operation: 73-39=34
Exploring Operation: 39+40=79, Resulting Numbers: [73, 79]
Generated Node #0,0,3: 74:[73, 79] Operation: 39+40=79
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[73, 1], Operations: ['92-52=40', '40-39=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,74 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[52, 92, 39, 73], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [39, 73, 40]
Generated Node #0,0: 74:[39, 73, 40] Operation: 92-52=40
Moving to Node #0,0
Current State: 74:[39, 73, 40], Operations: ['92-52=40']
Exploring Operation: 40-39=1, Resulting Numbers: [73, 1]
Generated Node #0,0,1: 74:[73, 1] Operation: 40-39=1
Moving to Node #0,0,1
Current State: 74:[73, 1], Operations: ['92-52=40', '40-39=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
41,
92,
22,
33
] | 40 | [
"92-41=51",
"33-22=11",
"51-11=40"
] | Current State: 40:[41, 92, 22, 33], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [22, 33, 51]
Generated Node #2: [22, 33, 51] from Operation: 92-41=51
Current State: 40:[22, 33, 51], Operations: ['92-41=51']
Exploring Operation: 33-22=11, Resulting Numbers: [51, 11]
Generated Node #3: [51, 11] from Operation: 33-22=11
Current State: 40:[51, 11], Operations: ['92-41=51', '33-22=11']
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[41, 92, 22, 33], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [92, 22, 8]
Generated Node #0,0: 40:[92, 22, 8] Operation: 41-33=8
Exploring Operation: 33-22=11, Resulting Numbers: [41, 92, 11]
Generated Node #0,1: 40:[41, 92, 11] Operation: 33-22=11
Exploring Operation: 92-22=70, Resulting Numbers: [41, 33, 70]
Generated Node #0,2: 40:[41, 33, 70] Operation: 92-22=70
Exploring Operation: 92-41=51, Resulting Numbers: [22, 33, 51]
Generated Node #0,3: 40:[22, 33, 51] Operation: 92-41=51
Exploring Operation: 92-33=59, Resulting Numbers: [41, 22, 59]
Generated Node #0,4: 40:[41, 22, 59] Operation: 92-33=59
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[22, 33, 51], Operations: ['92-41=51']
Exploring Operation: 22+33=55, Resulting Numbers: [51, 55]
Generated Node #0,3,0: 40:[51, 55] Operation: 22+33=55
Exploring Operation: 51-22=29, Resulting Numbers: [33, 29]
Generated Node #0,3,1: 40:[33, 29] Operation: 51-22=29
Exploring Operation: 33-22=11, Resulting Numbers: [51, 11]
Generated Node #0,3,2: 40:[51, 11] Operation: 33-22=11
Exploring Operation: 22+51=73, Resulting Numbers: [33, 73]
Generated Node #0,3,3: 40:[33, 73] Operation: 22+51=73
Exploring Operation: 51-33=18, Resulting Numbers: [22, 18]
Generated Node #0,3,4: 40:[22, 18] Operation: 51-33=18
Moving to Node #0,3,4
Current State: 40:[22, 18], Operations: ['92-41=51', '51-33=18']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[41, 92, 22, 33], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [22, 33, 51]
Generated Node #0,3: 40:[22, 33, 51] Operation: 92-41=51
Moving to Node #0,3
Current State: 40:[22, 33, 51], Operations: ['92-41=51']
Exploring Operation: 51-33=18, Resulting Numbers: [22, 18]
Generated Node #0,3,4: 40:[22, 18] Operation: 51-33=18
Moving to Node #0,3,4
Current State: 40:[22, 18], Operations: ['92-41=51', '51-33=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
75,
99,
43,
42
] | 89 | [
"75+99=174",
"43+42=85",
"174-85=89"
] | Current State: 89:[75, 99, 43, 42], Operations: []
Exploring Operation: 75+99=174, Resulting Numbers: [43, 42, 174]
Generated Node #2: [43, 42, 174] from Operation: 75+99=174
Current State: 89:[43, 42, 174], Operations: ['75+99=174']
Exploring Operation: 43+42=85, Resulting Numbers: [174, 85]
Generated Node #3: [174, 85] from Operation: 43+42=85
Current State: 89:[174, 85], Operations: ['75+99=174', '43+42=85']
Exploring Operation: 174-85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[75, 99, 43, 42], Operations: []
Exploring Operation: 75+42=117, Resulting Numbers: [99, 43, 117]
Generated Node #0,0: 89:[99, 43, 117] Operation: 75+42=117
Exploring Operation: 75+43=118, Resulting Numbers: [99, 42, 118]
Generated Node #0,1: 89:[99, 42, 118] Operation: 75+43=118
Exploring Operation: 43+42=85, Resulting Numbers: [75, 99, 85]
Generated Node #0,2: 89:[75, 99, 85] Operation: 43+42=85
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[75, 99, 85], Operations: ['43+42=85']
Exploring Operation: 75+99=174, Resulting Numbers: [85, 174]
Generated Node #0,2,0: 89:[85, 174] Operation: 75+99=174
Exploring Operation: 99-75=24, Resulting Numbers: [85, 24]
Generated Node #0,2,1: 89:[85, 24] Operation: 99-75=24
Exploring Operation: 75+85=160, Resulting Numbers: [99, 160]
Generated Node #0,2,2: 89:[99, 160] Operation: 75+85=160
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[85, 24], Operations: ['43+42=85', '99-75=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 85+24=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 85*24=2040, Resulting Numbers: [2040]
2040,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[99, 160], Operations: ['43+42=85', '75+85=160']
Exploring Operation: 99+160=259, Resulting Numbers: [259]
259,89 unequal: No Solution
Exploring Operation: 160-99=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 99*160=15840, Resulting Numbers: [15840]
15840,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[85, 174], Operations: ['43+42=85', '75+99=174']
Exploring Operation: 85+174=259, Resulting Numbers: [259]
259,89 unequal: No Solution
Exploring Operation: 174-85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[75, 99, 43, 42], Operations: []
Exploring Operation: 43+42=85, Resulting Numbers: [75, 99, 85]
Generated Node #0,2: 89:[75, 99, 85] Operation: 43+42=85
Moving to Node #0,2
Current State: 89:[75, 99, 85], Operations: ['43+42=85']
Exploring Operation: 75+99=174, Resulting Numbers: [85, 174]
Generated Node #0,2,0: 89:[85, 174] Operation: 75+99=174
Moving to Node #0,2,0
Current State: 89:[85, 174], Operations: ['43+42=85', '75+99=174']
Exploring Operation: 174-85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
15,
28,
13,
35
] | 91 | [
"15+28=43",
"13+35=48",
"43+48=91"
] | Current State: 91:[15, 28, 13, 35], Operations: []
Exploring Operation: 15+28=43, Resulting Numbers: [13, 35, 43]
Generated Node #2: [13, 35, 43] from Operation: 15+28=43
Current State: 91:[13, 35, 43], Operations: ['15+28=43']
Exploring Operation: 13+35=48, Resulting Numbers: [43, 48]
Generated Node #3: [43, 48] from Operation: 13+35=48
Current State: 91:[43, 48], Operations: ['15+28=43', '13+35=48']
Exploring Operation: 43+48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[15, 28, 13, 35], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [13, 35, 13]
Generated Node #0,0: 91:[13, 35, 13] Operation: 28-15=13
Exploring Operation: 35-15=20, Resulting Numbers: [28, 13, 20]
Generated Node #0,1: 91:[28, 13, 20] Operation: 35-15=20
Exploring Operation: 35-28=7, Resulting Numbers: [15, 13, 7]
Generated Node #0,2: 91:[15, 13, 7] Operation: 35-28=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[15, 13, 7], Operations: ['35-28=7']
Exploring Operation: 13*7=91, Resulting Numbers: [15, 91]
Generated Node #0,2,0: 91:[15, 91] Operation: 13*7=91
Exploring Operation: 13-7=6, Resulting Numbers: [15, 6]
Generated Node #0,2,1: 91:[15, 6] Operation: 13-7=6
Exploring Operation: 15-7=8, Resulting Numbers: [13, 8]
Generated Node #0,2,2: 91:[13, 8] Operation: 15-7=8
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 91:[13, 8], Operations: ['35-28=7', '15-7=8']
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,91 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 #0,2,0
Current State: 91:[15, 91], Operations: ['35-28=7', '13*7=91']
Exploring Operation: 15+91=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 15*91=1365, Resulting Numbers: [1365]
1365,91 unequal: No Solution
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,91 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 #0,2,1
Current State: 91:[15, 6], Operations: ['35-28=7', '13-7=6']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,91 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 #0,0
Current State: 91:[13, 35, 13], Operations: ['28-15=13']
Exploring Operation: 35-13=22, Resulting Numbers: [13, 22]
Generated Node #0,0,0: 91:[13, 22] Operation: 35-13=22
Exploring Operation: 35-13=22, Resulting Numbers: [13, 22]
Generated Node #0,0,1: 91:[13, 22] Operation: 35-13=22
Exploring Operation: 13/13=1, Resulting Numbers: [35, 1]
Generated Node #0,0,2: 91:[35, 1] Operation: 13/13=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[13, 22], Operations: ['28-15=13', '35-13=22']
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,91 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,91 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:[13, 22], Operations: ['28-15=13', '35-13=22']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,91 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 #0,0,2
Current State: 91:[35, 1], Operations: ['28-15=13', '13/13=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,91 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,91 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:[28, 13, 20], Operations: ['35-15=20']
Exploring Operation: 28-20=8, Resulting Numbers: [13, 8]
Generated Node #0,1,0: 91:[13, 8] Operation: 28-20=8
Exploring Operation: 28-13=15, Resulting Numbers: [20, 15]
Generated Node #0,1,1: 91:[20, 15] Operation: 28-13=15
Exploring Operation: 20-13=7, Resulting Numbers: [28, 7]
Generated Node #0,1,2: 91:[28, 7] Operation: 20-13=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[13, 8], Operations: ['35-15=20', '28-20=8']
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,91 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 #0,1,1
Current State: 91:[20, 15], Operations: ['35-15=20', '28-13=15']
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 20*15=300, Resulting Numbers: [300]
300,91 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 #0,1,2
Current State: 91:[28, 7], Operations: ['35-15=20', '20-13=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,91 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
No solution found.
| 0 | hs_3 | mult_heuristic |
[
85,
62,
56,
31
] | 31 | [
"85-56=29",
"62/31=2",
"29+2=31"
] | Current State: 31:[85, 62, 56, 31], Operations: []
Exploring Operation: 85-56=29, Resulting Numbers: [62, 31, 29]
Generated Node #2: [62, 31, 29] from Operation: 85-56=29
Current State: 31:[62, 31, 29], Operations: ['85-56=29']
Exploring Operation: 62/31=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 62/31=2
Current State: 31:[29, 2], Operations: ['85-56=29', '62/31=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[85, 62, 56, 31], Operations: []
Exploring Operation: 85-62=23, Resulting Numbers: [56, 31, 23]
Generated Node #0,0: 31:[56, 31, 23] Operation: 85-62=23
Moving to Node #0,0
Current State: 31:[56, 31, 23], Operations: ['85-62=23']
Exploring Operation: 56-23=33, Resulting Numbers: [31, 33]
Generated Node #0,0,0: 31:[31, 33] Operation: 56-23=33
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[31, 33], Operations: ['85-62=23', '56-23=33']
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
27,
1,
24
] | 29 | [
"79-27=52",
"24-1=23",
"52-23=29"
] | Current State: 29:[79, 27, 1, 24], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [1, 24, 52]
Generated Node #2: [1, 24, 52] from Operation: 79-27=52
Current State: 29:[1, 24, 52], Operations: ['79-27=52']
Exploring Operation: 24-1=23, Resulting Numbers: [52, 23]
Generated Node #3: [52, 23] from Operation: 24-1=23
Current State: 29:[52, 23], Operations: ['79-27=52', '24-1=23']
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[79, 27, 1, 24], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [27, 24, 78]
Generated Node #0,0: 29:[27, 24, 78] Operation: 79-1=78
Exploring Operation: 79-24=55, Resulting Numbers: [27, 1, 55]
Generated Node #0,1: 29:[27, 1, 55] Operation: 79-24=55
Exploring Operation: 27+1=28, Resulting Numbers: [79, 24, 28]
Generated Node #0,2: 29:[79, 24, 28] Operation: 27+1=28
Exploring Operation: 79-27=52, Resulting Numbers: [1, 24, 52]
Generated Node #0,3: 29:[1, 24, 52] Operation: 79-27=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[27, 24, 78], Operations: ['79-1=78']
Exploring Operation: 78-24=54, Resulting Numbers: [27, 54]
Generated Node #0,0,0: 29:[27, 54] Operation: 78-24=54
Exploring Operation: 27+24=51, Resulting Numbers: [78, 51]
Generated Node #0,0,1: 29:[78, 51] Operation: 27+24=51
Exploring Operation: 78-27=51, Resulting Numbers: [24, 51]
Generated Node #0,0,2: 29:[24, 51] Operation: 78-27=51
Exploring Operation: 27-24=3, Resulting Numbers: [78, 3]
Generated Node #0,0,3: 29:[78, 3] Operation: 27-24=3
Moving to Node #0,0,0
Current State: 29:[27, 54], Operations: ['79-1=78', '78-24=54']
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 27*54=1458, Resulting Numbers: [1458]
1458,29 unequal: No Solution
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,29 unequal: No Solution
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[24, 51], Operations: ['79-1=78', '78-27=51']
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,29 unequal: No Solution
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[78, 51], Operations: ['79-1=78', '27+24=51']
Exploring Operation: 78-51=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 78*51=3978, Resulting Numbers: [3978]
3978,29 unequal: No Solution
Exploring Operation: 78+51=129, Resulting Numbers: [129]
129,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[78, 3], Operations: ['79-1=78', '27-24=3']
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,29 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,29 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,29 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,29 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 #0,1
Current State: 29:[27, 1, 55], Operations: ['79-24=55']
Exploring Operation: 27/1=27, Resulting Numbers: [55, 27]
Generated Node #0,1,0: 29:[55, 27] Operation: 27/1=27
Exploring Operation: 27+1=28, Resulting Numbers: [55, 28]
Generated Node #0,1,1: 29:[55, 28] Operation: 27+1=28
Exploring Operation: 27*1=27, Resulting Numbers: [55, 27]
Generated Node #0,1,2: 29:[55, 27] Operation: 27*1=27
Exploring Operation: 55-1=54, Resulting Numbers: [27, 54]
Generated Node #0,1,3: 29:[27, 54] Operation: 55-1=54
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[55, 28], Operations: ['79-24=55', '27+1=28']
Exploring Operation: 55*28=1540, Resulting Numbers: [1540]
1540,29 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 55+28=83, Resulting Numbers: [83]
83,29 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 #0,1,3
Current State: 29:[27, 54], Operations: ['79-24=55', '55-1=54']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,29 unequal: No Solution
Exploring Operation: 27*54=1458, Resulting Numbers: [1458]
1458,29 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,29 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 #0,1,0
Current State: 29:[55, 27], Operations: ['79-24=55', '27/1=27']
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,29 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,29 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,29 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 #0,1,2
Current State: 29:[55, 27], Operations: ['79-24=55', '27*1=27']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,29 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,29 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 #0,2
Current State: 29:[79, 24, 28], Operations: ['27+1=28']
Exploring Operation: 79+24=103, Resulting Numbers: [28, 103]
Generated Node #0,2,0: 29:[28, 103] Operation: 79+24=103
Exploring Operation: 24+28=52, Resulting Numbers: [79, 52]
Generated Node #0,2,1: 29:[79, 52] Operation: 24+28=52
Exploring Operation: 79-24=55, Resulting Numbers: [28, 55]
Generated Node #0,2,2: 29:[28, 55] Operation: 79-24=55
Exploring Operation: 79-28=51, Resulting Numbers: [24, 51]
Generated Node #0,2,3: 29:[24, 51] Operation: 79-28=51
Moving to Node #0,2,2
Current State: 29:[28, 55], Operations: ['27+1=28', '79-24=55']
Exploring Operation: 28*55=1540, Resulting Numbers: [1540]
1540,29 unequal: No Solution
Exploring Operation: 28+55=83, Resulting Numbers: [83]
83,29 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Moving to Node #0,2,3
Current State: 29:[24, 51], Operations: ['27+1=28', '79-28=51']
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,29 unequal: No Solution
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,29 unequal: No Solution
Moving to Node #0,2,1
Current State: 29:[79, 52], Operations: ['27+1=28', '24+28=52']
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,29 unequal: No Solution
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[28, 103], Operations: ['27+1=28', '79+24=103']
Exploring Operation: 28*103=2884, Resulting Numbers: [2884]
2884,29 unequal: No Solution
Exploring Operation: 103-28=75, Resulting Numbers: [75]
75,29 unequal: No Solution
Exploring Operation: 28+103=131, Resulting Numbers: [131]
131,29 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 #0,3
Current State: 29:[1, 24, 52], Operations: ['79-27=52']
Exploring Operation: 1*24=24, Resulting Numbers: [52, 24]
Generated Node #0,3,0: 29:[52, 24] Operation: 1*24=24
Exploring Operation: 1+24=25, Resulting Numbers: [52, 25]
Generated Node #0,3,1: 29:[52, 25] Operation: 1+24=25
Exploring Operation: 52-1=51, Resulting Numbers: [24, 51]
Generated Node #0,3,2: 29:[24, 51] Operation: 52-1=51
Exploring Operation: 24/1=24, Resulting Numbers: [52, 24]
Generated Node #0,3,3: 29:[52, 24] Operation: 24/1=24
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 29:[52, 25], Operations: ['79-27=52', '1+24=25']
Exploring Operation: 52*25=1300, Resulting Numbers: [1300]
1300,29 unequal: No Solution
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 52+25=77, Resulting Numbers: [77]
77,29 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 #0,3,2
Current State: 29:[24, 51], Operations: ['79-27=52', '52-1=51']
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,29 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,29 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 #0,3,0
Current State: 29:[52, 24], Operations: ['79-27=52', '1*24=24']
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,29 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,29 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 #0,3,3
Current State: 29:[52, 24], Operations: ['79-27=52', '24/1=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,29 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,29 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_4 | sum_heuristic |
[
78,
52,
71,
3
] | 13 | [
"78-71=7",
"7-3=4",
"52/4=13"
] | Current State: 13:[78, 52, 71, 3], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [52, 3, 7]
Generated Node #2: [52, 3, 7] from Operation: 78-71=7
Current State: 13:[52, 3, 7], Operations: ['78-71=7']
Exploring Operation: 7-3=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 7-3=4
Current State: 13:[52, 4], Operations: ['78-71=7', '7-3=4']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[78, 52, 71, 3], Operations: []
Exploring Operation: 78/3=26, Resulting Numbers: [52, 71, 26]
Generated Node #0,0: 13:[52, 71, 26] Operation: 78/3=26
Exploring Operation: 78-71=7, Resulting Numbers: [52, 3, 7]
Generated Node #0,1: 13:[52, 3, 7] Operation: 78-71=7
Exploring Operation: 71-52=19, Resulting Numbers: [78, 3, 19]
Generated Node #0,2: 13:[78, 3, 19] Operation: 71-52=19
Exploring Operation: 78-3=75, Resulting Numbers: [52, 71, 75]
Generated Node #0,3: 13:[52, 71, 75] Operation: 78-3=75
Exploring Operation: 78-52=26, Resulting Numbers: [71, 3, 26]
Generated Node #0,4: 13:[71, 3, 26] Operation: 78-52=26
Moving to Node #0,1
Current State: 13:[52, 3, 7], Operations: ['78-71=7']
Exploring Operation: 52-3=49, Resulting Numbers: [7, 49]
Generated Node #0,1,0: 13:[7, 49] Operation: 52-3=49
Exploring Operation: 52+3=55, Resulting Numbers: [7, 55]
Generated Node #0,1,1: 13:[7, 55] Operation: 52+3=55
Exploring Operation: 3*7=21, Resulting Numbers: [52, 21]
Generated Node #0,1,2: 13:[52, 21] Operation: 3*7=21
Exploring Operation: 3+7=10, Resulting Numbers: [52, 10]
Generated Node #0,1,3: 13:[52, 10] Operation: 3+7=10
Exploring Operation: 52-7=45, Resulting Numbers: [3, 45]
Generated Node #0,1,4: 13:[3, 45] Operation: 52-7=45
Moving to Node #0,4
Current State: 13:[71, 3, 26], Operations: ['78-52=26']
Exploring Operation: 3+26=29, Resulting Numbers: [71, 29]
Generated Node #0,4,0: 13:[71, 29] Operation: 3+26=29
Exploring Operation: 71-3=68, Resulting Numbers: [26, 68]
Generated Node #0,4,1: 13:[26, 68] Operation: 71-3=68
Exploring Operation: 71-26=45, Resulting Numbers: [3, 45]
Generated Node #0,4,2: 13:[3, 45] Operation: 71-26=45
Exploring Operation: 26-3=23, Resulting Numbers: [71, 23]
Generated Node #0,4,3: 13:[71, 23] Operation: 26-3=23
Exploring Operation: 71+3=74, Resulting Numbers: [26, 74]
Generated Node #0,4,4: 13:[26, 74] Operation: 71+3=74
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 13:[3, 45], Operations: ['78-52=26', '71-26=45']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,13 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 13:[26, 68], Operations: ['78-52=26', '71-3=68']
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,13 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 26*68=1768, Resulting Numbers: [1768]
1768,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 13:[71, 23], Operations: ['78-52=26', '26-3=23']
Exploring Operation: 71*23=1633, Resulting Numbers: [1633]
1633,13 unequal: No Solution
Exploring Operation: 71+23=94, Resulting Numbers: [94]
94,13 unequal: No Solution
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 13:[71, 29], Operations: ['78-52=26', '3+26=29']
Exploring Operation: 71*29=2059, Resulting Numbers: [2059]
2059,13 unequal: No Solution
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,13 unequal: No Solution
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 13:[26, 74], Operations: ['78-52=26', '71+3=74']
Exploring Operation: 26*74=1924, Resulting Numbers: [1924]
1924,13 unequal: No Solution
Exploring Operation: 26+74=100, Resulting Numbers: [100]
100,13 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,13 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: 13:[78, 3, 19], Operations: ['71-52=19']
Exploring Operation: 19-3=16, Resulting Numbers: [78, 16]
Generated Node #0,2,0: 13:[78, 16] Operation: 19-3=16
Exploring Operation: 78-3=75, Resulting Numbers: [19, 75]
Generated Node #0,2,1: 13:[19, 75] Operation: 78-3=75
Exploring Operation: 78/3=26, Resulting Numbers: [19, 26]
Generated Node #0,2,2: 13:[19, 26] Operation: 78/3=26
Exploring Operation: 78+3=81, Resulting Numbers: [19, 81]
Generated Node #0,2,3: 13:[19, 81] Operation: 78+3=81
Exploring Operation: 78-19=59, Resulting Numbers: [3, 59]
Generated Node #0,2,4: 13:[3, 59] Operation: 78-19=59
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 13:[19, 26], Operations: ['71-52=19', '78/3=26']
Exploring Operation: 19*26=494, Resulting Numbers: [494]
494,13 unequal: No Solution
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 13:[3, 59], Operations: ['71-52=19', '78-19=59']
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,13 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,13 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 13:[78, 16], Operations: ['71-52=19', '19-3=16']
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,13 unequal: No Solution
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,13 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 13:[19, 75], Operations: ['71-52=19', '78-3=75']
Exploring Operation: 19+75=94, Resulting Numbers: [94]
94,13 unequal: No Solution
Exploring Operation: 19*75=1425, Resulting Numbers: [1425]
1425,13 unequal: No Solution
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 13:[19, 81], Operations: ['71-52=19', '78+3=81']
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,13 unequal: No Solution
Exploring Operation: 19*81=1539, Resulting Numbers: [1539]
1539,13 unequal: No Solution
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,13 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: 13:[52, 71, 26], Operations: ['78/3=26']
Exploring Operation: 52/26=2, Resulting Numbers: [71, 2]
Generated Node #0,0,0: 13:[71, 2] Operation: 52/26=2
Exploring Operation: 71-52=19, Resulting Numbers: [26, 19]
Generated Node #0,0,1: 13:[26, 19] Operation: 71-52=19
Exploring Operation: 52+71=123, Resulting Numbers: [26, 123]
Generated Node #0,0,2: 13:[26, 123] Operation: 52+71=123
Exploring Operation: 71-26=45, Resulting Numbers: [52, 45]
Generated Node #0,0,3: 13:[52, 45] Operation: 71-26=45
Exploring Operation: 52-26=26, Resulting Numbers: [71, 26]
Generated Node #0,0,4: 13:[71, 26] Operation: 52-26=26
Moving to Node #0,3
Current State: 13:[52, 71, 75], Operations: ['78-3=75']
Exploring Operation: 52+75=127, Resulting Numbers: [71, 127]
Generated Node #0,3,0: 13:[71, 127] Operation: 52+75=127
Exploring Operation: 75-52=23, Resulting Numbers: [71, 23]
Generated Node #0,3,1: 13:[71, 23] Operation: 75-52=23
Exploring Operation: 52+71=123, Resulting Numbers: [75, 123]
Generated Node #0,3,2: 13:[75, 123] Operation: 52+71=123
Exploring Operation: 71-52=19, Resulting Numbers: [75, 19]
Generated Node #0,3,3: 13:[75, 19] Operation: 71-52=19
Exploring Operation: 75-71=4, Resulting Numbers: [52, 4]
Generated Node #0,3,4: 13:[52, 4] Operation: 75-71=4
Moving to Node #0,0,1
Current State: 13:[26, 19], Operations: ['78/3=26', '71-52=19']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,13 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[7, 49], Operations: ['78-71=7', '52-3=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,13 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 7*49=343, Resulting Numbers: [343]
343,13 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Moving to Node #0,1,4
Current State: 13:[3, 45], Operations: ['78-71=7', '52-7=45']
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,13 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Moving to Node #0,1,3
Current State: 13:[52, 10], Operations: ['78-71=7', '3+7=10']
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,13 unequal: No Solution
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[52, 21], Operations: ['78-71=7', '3*7=21']
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,13 unequal: No Solution
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,13 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[7, 55], Operations: ['78-71=7', '52+3=55']
Exploring Operation: 7+55=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Exploring Operation: 7*55=385, Resulting Numbers: [385]
385,13 unequal: No Solution
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Moving to Node #0,3,4
Current State: 13:[52, 4], Operations: ['78-3=75', '75-71=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,13 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[78, 52, 71, 3], Operations: []
Exploring Operation: 78-3=75, Resulting Numbers: [52, 71, 75]
Generated Node #0,3: 13:[52, 71, 75] Operation: 78-3=75
Moving to Node #0,3
Current State: 13:[52, 71, 75], Operations: ['78-3=75']
Exploring Operation: 75-71=4, Resulting Numbers: [52, 4]
Generated Node #0,3,4: 13:[52, 4] Operation: 75-71=4
Moving to Node #0,3,4
Current State: 13:[52, 4], Operations: ['78-3=75', '75-71=4']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.924479 | hs_5 | sum_heuristic |
[
83,
6,
18,
19
] | 77 | [
"83-6=77",
"19-18=1",
"77*1=77"
] | Current State: 77:[83, 6, 18, 19], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [18, 19, 77]
Generated Node #2: [18, 19, 77] from Operation: 83-6=77
Current State: 77:[18, 19, 77], Operations: ['83-6=77']
Exploring Operation: 19-18=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 19-18=1
Current State: 77:[77, 1], Operations: ['83-6=77', '19-18=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[83, 6, 18, 19], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [18, 19, 77]
Generated Node #0,0: 77:[18, 19, 77] Operation: 83-6=77
Exploring Operation: 19-18=1, Resulting Numbers: [83, 6, 1]
Generated Node #0,1: 77:[83, 6, 1] Operation: 19-18=1
Exploring Operation: 18-6=12, Resulting Numbers: [83, 19, 12]
Generated Node #0,2: 77:[83, 19, 12] Operation: 18-6=12
Moving to Node #0,1
Current State: 77:[83, 6, 1], Operations: ['19-18=1']
Exploring Operation: 6+1=7, Resulting Numbers: [83, 7]
Generated Node #0,1,0: 77:[83, 7] Operation: 6+1=7
Exploring Operation: 83-1=82, Resulting Numbers: [6, 82]
Generated Node #0,1,1: 77:[6, 82] Operation: 83-1=82
Exploring Operation: 83-6=77, Resulting Numbers: [1, 77]
Generated Node #0,1,2: 77:[1, 77] Operation: 83-6=77
Moving to Node #0,0
Current State: 77:[18, 19, 77], Operations: ['83-6=77']
Exploring Operation: 19-18=1, Resulting Numbers: [77, 1]
Generated Node #0,0,0: 77:[77, 1] Operation: 19-18=1
Exploring Operation: 18+19=37, Resulting Numbers: [77, 37]
Generated Node #0,0,1: 77:[77, 37] Operation: 18+19=37
Exploring Operation: 18+77=95, Resulting Numbers: [19, 95]
Generated Node #0,0,2: 77:[19, 95] Operation: 18+77=95
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[77, 1], Operations: ['83-6=77', '19-18=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[83, 6, 18, 19], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [18, 19, 77]
Generated Node #0,0: 77:[18, 19, 77] Operation: 83-6=77
Moving to Node #0,0
Current State: 77:[18, 19, 77], Operations: ['83-6=77']
Exploring Operation: 19-18=1, Resulting Numbers: [77, 1]
Generated Node #0,0,0: 77:[77, 1] Operation: 19-18=1
Moving to Node #0,0,0
Current State: 77:[77, 1], Operations: ['83-6=77', '19-18=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
53,
51,
6,
56
] | 100 | [
"53-51=2",
"56-6=50",
"2*50=100"
] | Current State: 100:[53, 51, 6, 56], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [6, 56, 2]
Generated Node #2: [6, 56, 2] from Operation: 53-51=2
Current State: 100:[6, 56, 2], Operations: ['53-51=2']
Exploring Operation: 56-6=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 56-6=50
Current State: 100:[2, 50], Operations: ['53-51=2', '56-6=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[53, 51, 6, 56], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [51, 6, 3]
Generated Node #0,0: 100:[51, 6, 3] Operation: 56-53=3
Exploring Operation: 56-6=50, Resulting Numbers: [53, 51, 50]
Generated Node #0,1: 100:[53, 51, 50] Operation: 56-6=50
Exploring Operation: 56-51=5, Resulting Numbers: [53, 6, 5]
Generated Node #0,2: 100:[53, 6, 5] Operation: 56-51=5
Moving to Node #0,0
Current State: 100:[51, 6, 3], Operations: ['56-53=3']
Exploring Operation: 6/3=2, Resulting Numbers: [51, 2]
Generated Node #0,0,0: 100:[51, 2] Operation: 6/3=2
Exploring Operation: 6+3=9, Resulting Numbers: [51, 9]
Generated Node #0,0,1: 100:[51, 9] Operation: 6+3=9
Exploring Operation: 6-3=3, Resulting Numbers: [51, 3]
Generated Node #0,0,2: 100:[51, 3] Operation: 6-3=3
Moving to Node #0,1
Current State: 100:[53, 51, 50], Operations: ['56-6=50']
Exploring Operation: 53-50=3, Resulting Numbers: [51, 3]
Generated Node #0,1,0: 100:[51, 3] Operation: 53-50=3
Exploring Operation: 53-51=2, Resulting Numbers: [50, 2]
Generated Node #0,1,1: 100:[50, 2] Operation: 53-51=2
Exploring Operation: 53+51=104, Resulting Numbers: [50, 104]
Generated Node #0,1,2: 100:[50, 104] Operation: 53+51=104
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[50, 2], Operations: ['56-6=50', '53-51=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[53, 51, 6, 56], Operations: []
Exploring Operation: 56-6=50, Resulting Numbers: [53, 51, 50]
Generated Node #0,1: 100:[53, 51, 50] Operation: 56-6=50
Moving to Node #0,1
Current State: 100:[53, 51, 50], Operations: ['56-6=50']
Exploring Operation: 53-51=2, Resulting Numbers: [50, 2]
Generated Node #0,1,1: 100:[50, 2] Operation: 53-51=2
Moving to Node #0,1,1
Current State: 100:[50, 2], Operations: ['56-6=50', '53-51=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
87,
73,
4,
20
] | 30 | [
"87-73=14",
"20-4=16",
"14+16=30"
] | Current State: 30:[87, 73, 4, 20], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [4, 20, 14]
Generated Node #2: [4, 20, 14] from Operation: 87-73=14
Current State: 30:[4, 20, 14], Operations: ['87-73=14']
Exploring Operation: 20-4=16, Resulting Numbers: [14, 16]
Generated Node #3: [14, 16] from Operation: 20-4=16
Current State: 30:[14, 16], Operations: ['87-73=14', '20-4=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[87, 73, 4, 20], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [4, 20, 14]
Generated Node #0,0: 30:[4, 20, 14] Operation: 87-73=14
Exploring Operation: 87-20=67, Resulting Numbers: [73, 4, 67]
Generated Node #0,1: 30:[73, 4, 67] Operation: 87-20=67
Exploring Operation: 73-20=53, Resulting Numbers: [87, 4, 53]
Generated Node #0,2: 30:[87, 4, 53] Operation: 73-20=53
Moving to Node #0,0
Current State: 30:[4, 20, 14], Operations: ['87-73=14']
Exploring Operation: 20-4=16, Resulting Numbers: [14, 16]
Generated Node #0,0,0: 30:[14, 16] Operation: 20-4=16
Exploring Operation: 20/4=5, Resulting Numbers: [14, 5]
Generated Node #0,0,1: 30:[14, 5] Operation: 20/4=5
Exploring Operation: 20-14=6, Resulting Numbers: [4, 6]
Generated Node #0,0,2: 30:[4, 6] Operation: 20-14=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[14, 5], Operations: ['87-73=14', '20/4=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,30 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[4, 6], Operations: ['87-73=14', '20-14=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[14, 16], Operations: ['87-73=14', '20-4=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,30 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[87, 73, 4, 20], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [4, 20, 14]
Generated Node #0,0: 30:[4, 20, 14] Operation: 87-73=14
Moving to Node #0,0
Current State: 30:[4, 20, 14], Operations: ['87-73=14']
Exploring Operation: 20-4=16, Resulting Numbers: [14, 16]
Generated Node #0,0,0: 30:[14, 16] Operation: 20-4=16
Moving to Node #0,0,0
Current State: 30:[14, 16], Operations: ['87-73=14', '20-4=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
81,
82,
36,
90
] | 42 | [
"36*90=3240",
"3240/81=40",
"82-40=42"
] | Current State: 42:[81, 82, 36, 90], Operations: []
Exploring Operation: 36*90=3240, Resulting Numbers: [81, 82, 3240]
Generated Node #2: [81, 82, 3240] from Operation: 36*90=3240
Current State: 42:[81, 82, 3240], Operations: ['36*90=3240']
Exploring Operation: 3240/81=40, Resulting Numbers: [82, 40]
Generated Node #3: [82, 40] from Operation: 3240/81=40
Current State: 42:[82, 40], Operations: ['36*90=3240', '3240/81=40']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[81, 82, 36, 90], Operations: []
Exploring Operation: 90-82=8, Resulting Numbers: [81, 36, 8]
Generated Node #0,0: 42:[81, 36, 8] Operation: 90-82=8
Exploring Operation: 82-81=1, Resulting Numbers: [36, 90, 1]
Generated Node #0,1: 42:[36, 90, 1] Operation: 82-81=1
Exploring Operation: 90-81=9, Resulting Numbers: [82, 36, 9]
Generated Node #0,2: 42:[82, 36, 9] Operation: 90-81=9
Moving to Node #0,0
Current State: 42:[81, 36, 8], Operations: ['90-82=8']
Exploring Operation: 81-36=45, Resulting Numbers: [8, 45]
Generated Node #0,0,0: 42:[8, 45] Operation: 81-36=45
Exploring Operation: 36+8=44, Resulting Numbers: [81, 44]
Generated Node #0,0,1: 42:[81, 44] Operation: 36+8=44
Exploring Operation: 81-8=73, Resulting Numbers: [36, 73]
Generated Node #0,0,2: 42:[36, 73] Operation: 81-8=73
Moving to Node #0,2
Current State: 42:[82, 36, 9], Operations: ['90-81=9']
Exploring Operation: 82-9=73, Resulting Numbers: [36, 73]
Generated Node #0,2,0: 42:[36, 73] Operation: 82-9=73
Exploring Operation: 36/9=4, Resulting Numbers: [82, 4]
Generated Node #0,2,1: 42:[82, 4] Operation: 36/9=4
Exploring Operation: 82-36=46, Resulting Numbers: [9, 46]
Generated Node #0,2,2: 42:[9, 46] Operation: 82-36=46
Moving to Node #0,1
Current State: 42:[36, 90, 1], Operations: ['82-81=1']
Exploring Operation: 90-1=89, Resulting Numbers: [36, 89]
Generated Node #0,1,0: 42:[36, 89] Operation: 90-1=89
Exploring Operation: 90-36=54, Resulting Numbers: [1, 54]
Generated Node #0,1,1: 42:[1, 54] Operation: 90-36=54
Exploring Operation: 36+1=37, Resulting Numbers: [90, 37]
Generated Node #0,1,2: 42:[90, 37] Operation: 36+1=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[1, 54], Operations: ['82-81=1', '90-36=54']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,42 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[36, 89], Operations: ['82-81=1', '90-1=89']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,42 unequal: No Solution
Exploring Operation: 36*89=3204, Resulting Numbers: [3204]
3204,42 unequal: No Solution
Exploring Operation: 36+89=125, Resulting Numbers: [125]
125,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[90, 37], Operations: ['82-81=1', '36+1=37']
Exploring Operation: 90*37=3330, Resulting Numbers: [3330]
3330,42 unequal: No Solution
Exploring Operation: 90+37=127, Resulting Numbers: [127]
127,42 unequal: No Solution
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,42 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: 42:[8, 45], Operations: ['90-82=8', '81-36=45']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,42 unequal: No Solution
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[9, 46], Operations: ['90-81=9', '82-36=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,42 unequal: No Solution
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[36, 73], Operations: ['90-81=9', '82-9=73']
Exploring Operation: 36*73=2628, Resulting Numbers: [2628]
2628,42 unequal: No Solution
Exploring Operation: 36+73=109, Resulting Numbers: [109]
109,42 unequal: No Solution
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[36, 73], Operations: ['90-82=8', '81-8=73']
Exploring Operation: 36*73=2628, Resulting Numbers: [2628]
2628,42 unequal: No Solution
Exploring Operation: 36+73=109, Resulting Numbers: [109]
109,42 unequal: No Solution
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[82, 4], Operations: ['90-81=9', '36/9=4']
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,42 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[81, 44], Operations: ['90-82=8', '36+8=44']
Exploring Operation: 81+44=125, Resulting Numbers: [125]
125,42 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 81*44=3564, Resulting Numbers: [3564]
3564,42 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
47,
19,
14,
77
] | 12 | [
"47+19=66",
"14*66=924",
"924/77=12"
] | Current State: 12:[47, 19, 14, 77], Operations: []
Exploring Operation: 47+19=66, Resulting Numbers: [14, 77, 66]
Generated Node #2: [14, 77, 66] from Operation: 47+19=66
Current State: 12:[14, 77, 66], Operations: ['47+19=66']
Exploring Operation: 14*66=924, Resulting Numbers: [77, 924]
Generated Node #3: [77, 924] from Operation: 14*66=924
Current State: 12:[77, 924], Operations: ['47+19=66', '14*66=924']
Exploring Operation: 924/77=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[47, 19, 14, 77], Operations: []
Exploring Operation: 47-19=28, Resulting Numbers: [14, 77, 28]
Generated Node #0,0: 12:[14, 77, 28] Operation: 47-19=28
Exploring Operation: 77-47=30, Resulting Numbers: [19, 14, 30]
Generated Node #0,1: 12:[19, 14, 30] Operation: 77-47=30
Exploring Operation: 77-19=58, Resulting Numbers: [47, 14, 58]
Generated Node #0,2: 12:[47, 14, 58] Operation: 77-19=58
Exploring Operation: 47-14=33, Resulting Numbers: [19, 77, 33]
Generated Node #0,3: 12:[19, 77, 33] Operation: 47-14=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[19, 14, 30], Operations: ['77-47=30']
Exploring Operation: 19+14=33, Resulting Numbers: [30, 33]
Generated Node #0,1,0: 12:[30, 33] Operation: 19+14=33
Exploring Operation: 30-14=16, Resulting Numbers: [19, 16]
Generated Node #0,1,1: 12:[19, 16] Operation: 30-14=16
Exploring Operation: 30-19=11, Resulting Numbers: [14, 11]
Generated Node #0,1,2: 12:[14, 11] Operation: 30-19=11
Exploring Operation: 19-14=5, Resulting Numbers: [30, 5]
Generated Node #0,1,3: 12:[30, 5] Operation: 19-14=5
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 12:[14, 11], Operations: ['77-47=30', '30-19=11']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[19, 16], Operations: ['77-47=30', '30-14=16']
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,12 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 12:[30, 5], Operations: ['77-47=30', '19-14=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,12 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[30, 33], Operations: ['77-47=30', '19+14=33']
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,12 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[14, 77, 28], Operations: ['47-19=28']
Exploring Operation: 28-14=14, Resulting Numbers: [77, 14]
Generated Node #0,0,0: 12:[77, 14] Operation: 28-14=14
Exploring Operation: 77-14=63, Resulting Numbers: [28, 63]
Generated Node #0,0,1: 12:[28, 63] Operation: 77-14=63
Exploring Operation: 77-28=49, Resulting Numbers: [14, 49]
Generated Node #0,0,2: 12:[14, 49] Operation: 77-28=49
Exploring Operation: 28/14=2, Resulting Numbers: [77, 2]
Generated Node #0,0,3: 12:[77, 2] Operation: 28/14=2
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 12:[14, 49], Operations: ['47-19=28', '77-28=49']
Exploring Operation: 14*49=686, Resulting Numbers: [686]
686,12 unequal: No Solution
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 12:[77, 2], Operations: ['47-19=28', '28/14=2']
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,12 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,12 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[77, 14], Operations: ['47-19=28', '28-14=14']
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 12:[28, 63], Operations: ['47-19=28', '77-14=63']
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 28*63=1764, Resulting Numbers: [1764]
1764,12 unequal: No Solution
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[47, 14, 58], Operations: ['77-19=58']
Exploring Operation: 47+14=61, Resulting Numbers: [58, 61]
Generated Node #0,2,0: 12:[58, 61] Operation: 47+14=61
Exploring Operation: 58-14=44, Resulting Numbers: [47, 44]
Generated Node #0,2,1: 12:[47, 44] Operation: 58-14=44
Exploring Operation: 58-47=11, Resulting Numbers: [14, 11]
Generated Node #0,2,2: 12:[14, 11] Operation: 58-47=11
Exploring Operation: 47-14=33, Resulting Numbers: [58, 33]
Generated Node #0,2,3: 12:[58, 33] Operation: 47-14=33
Moving to Node #0,2,2
Current State: 12:[14, 11], Operations: ['77-19=58', '58-47=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,12 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,2,3
Current State: 12:[58, 33], Operations: ['77-19=58', '47-14=33']
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 58*33=1914, Resulting Numbers: [1914]
1914,12 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[47, 44], Operations: ['77-19=58', '58-14=44']
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 47*44=2068, Resulting Numbers: [2068]
2068,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[58, 61], Operations: ['77-19=58', '47+14=61']
Exploring Operation: 58*61=3538, Resulting Numbers: [3538]
3538,12 unequal: No Solution
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,12 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[19, 77, 33], Operations: ['47-14=33']
Exploring Operation: 33-19=14, Resulting Numbers: [77, 14]
Generated Node #0,3,0: 12:[77, 14] Operation: 33-19=14
Exploring Operation: 77-19=58, Resulting Numbers: [33, 58]
Generated Node #0,3,1: 12:[33, 58] Operation: 77-19=58
Exploring Operation: 77-33=44, Resulting Numbers: [19, 44]
Generated Node #0,3,2: 12:[19, 44] Operation: 77-33=44
Exploring Operation: 19+77=96, Resulting Numbers: [33, 96]
Generated Node #0,3,3: 12:[33, 96] Operation: 19+77=96
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 12:[19, 44], Operations: ['47-14=33', '77-33=44']
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,12 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 12:[77, 14], Operations: ['47-14=33', '33-19=14']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,12 unequal: No Solution
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 12:[33, 58], Operations: ['47-14=33', '77-19=58']
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 33*58=1914, Resulting Numbers: [1914]
1914,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 12:[33, 96], Operations: ['47-14=33', '19+77=96']
Exploring Operation: 33*96=3168, Resulting Numbers: [3168]
3168,12 unequal: No Solution
Exploring Operation: 96-33=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 33+96=129, Resulting Numbers: [129]
129,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
53,
26,
66,
62
] | 75 | [
"53+26=79",
"66-62=4",
"79-4=75"
] | Current State: 75:[53, 26, 66, 62], Operations: []
Exploring Operation: 53+26=79, Resulting Numbers: [66, 62, 79]
Generated Node #2: [66, 62, 79] from Operation: 53+26=79
Current State: 75:[66, 62, 79], Operations: ['53+26=79']
Exploring Operation: 66-62=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 66-62=4
Current State: 75:[79, 4], Operations: ['53+26=79', '66-62=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[53, 26, 66, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [53, 26, 4]
Generated Node #0,0: 75:[53, 26, 4] Operation: 66-62=4
Exploring Operation: 53-26=27, Resulting Numbers: [66, 62, 27]
Generated Node #0,1: 75:[66, 62, 27] Operation: 53-26=27
Exploring Operation: 66-53=13, Resulting Numbers: [26, 62, 13]
Generated Node #0,2: 75:[26, 62, 13] Operation: 66-53=13
Exploring Operation: 62-53=9, Resulting Numbers: [26, 66, 9]
Generated Node #0,3: 75:[26, 66, 9] Operation: 62-53=9
Exploring Operation: 53+26=79, Resulting Numbers: [66, 62, 79]
Generated Node #0,4: 75:[66, 62, 79] Operation: 53+26=79
Moving to Node #0,3
Current State: 75:[26, 66, 9], Operations: ['62-53=9']
Exploring Operation: 66+9=75, Resulting Numbers: [26, 75]
Generated Node #0,3,0: 75:[26, 75] Operation: 66+9=75
Exploring Operation: 66-26=40, Resulting Numbers: [9, 40]
Generated Node #0,3,1: 75:[9, 40] Operation: 66-26=40
Exploring Operation: 66-9=57, Resulting Numbers: [26, 57]
Generated Node #0,3,2: 75:[26, 57] Operation: 66-9=57
Exploring Operation: 26-9=17, Resulting Numbers: [66, 17]
Generated Node #0,3,3: 75:[66, 17] Operation: 26-9=17
Exploring Operation: 26+9=35, Resulting Numbers: [66, 35]
Generated Node #0,3,4: 75:[66, 35] Operation: 26+9=35
Moving to Node #0,2
Current State: 75:[26, 62, 13], Operations: ['66-53=13']
Exploring Operation: 62-26=36, Resulting Numbers: [13, 36]
Generated Node #0,2,0: 75:[13, 36] Operation: 62-26=36
Exploring Operation: 26+62=88, Resulting Numbers: [13, 88]
Generated Node #0,2,1: 75:[13, 88] Operation: 26+62=88
Exploring Operation: 26/13=2, Resulting Numbers: [62, 2]
Generated Node #0,2,2: 75:[62, 2] Operation: 26/13=2
Exploring Operation: 26-13=13, Resulting Numbers: [62, 13]
Generated Node #0,2,3: 75:[62, 13] Operation: 26-13=13
Exploring Operation: 62+13=75, Resulting Numbers: [26, 75]
Generated Node #0,2,4: 75:[26, 75] Operation: 62+13=75
Moving to Node #0,0
Current State: 75:[53, 26, 4], Operations: ['66-62=4']
Exploring Operation: 53+4=57, Resulting Numbers: [26, 57]
Generated Node #0,0,0: 75:[26, 57] Operation: 53+4=57
Exploring Operation: 26-4=22, Resulting Numbers: [53, 22]
Generated Node #0,0,1: 75:[53, 22] Operation: 26-4=22
Exploring Operation: 53-4=49, Resulting Numbers: [26, 49]
Generated Node #0,0,2: 75:[26, 49] Operation: 53-4=49
Exploring Operation: 53+26=79, Resulting Numbers: [4, 79]
Generated Node #0,0,3: 75:[4, 79] Operation: 53+26=79
Exploring Operation: 53-26=27, Resulting Numbers: [4, 27]
Generated Node #0,0,4: 75:[4, 27] Operation: 53-26=27
Moving to Node #0,1
Current State: 75:[66, 62, 27], Operations: ['53-26=27']
Exploring Operation: 66-62=4, Resulting Numbers: [27, 4]
Generated Node #0,1,0: 75:[27, 4] Operation: 66-62=4
Exploring Operation: 66-27=39, Resulting Numbers: [62, 39]
Generated Node #0,1,1: 75:[62, 39] Operation: 66-27=39
Exploring Operation: 66+27=93, Resulting Numbers: [62, 93]
Generated Node #0,1,2: 75:[62, 93] Operation: 66+27=93
Exploring Operation: 62-27=35, Resulting Numbers: [66, 35]
Generated Node #0,1,3: 75:[66, 35] Operation: 62-27=35
Exploring Operation: 62+27=89, Resulting Numbers: [66, 89]
Generated Node #0,1,4: 75:[66, 89] Operation: 62+27=89
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[27, 4], Operations: ['53-26=27', '66-62=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,75 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 75:[66, 35], Operations: ['53-26=27', '62-27=35']
Exploring Operation: 66*35=2310, Resulting Numbers: [2310]
2310,75 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 66+35=101, Resulting Numbers: [101]
101,75 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 #0,1,4
Current State: 75:[66, 89], Operations: ['53-26=27', '62+27=89']
Exploring Operation: 66+89=155, Resulting Numbers: [155]
155,75 unequal: No Solution
Exploring Operation: 89-66=23, Resulting Numbers: [23]
23,75 unequal: No Solution
Exploring Operation: 66*89=5874, Resulting Numbers: [5874]
5874,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[62, 39], Operations: ['53-26=27', '66-27=39']
Exploring Operation: 62*39=2418, Resulting Numbers: [2418]
2418,75 unequal: No Solution
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,75 unequal: No Solution
Exploring Operation: 62+39=101, Resulting Numbers: [101]
101,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 75:[62, 93], Operations: ['53-26=27', '66+27=93']
Exploring Operation: 62+93=155, Resulting Numbers: [155]
155,75 unequal: No Solution
Exploring Operation: 62*93=5766, Resulting Numbers: [5766]
5766,75 unequal: No Solution
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,75 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: 75:[66, 62, 79], Operations: ['53+26=79']
Exploring Operation: 79-62=17, Resulting Numbers: [66, 17]
Generated Node #0,4,0: 75:[66, 17] Operation: 79-62=17
Exploring Operation: 62+79=141, Resulting Numbers: [66, 141]
Generated Node #0,4,1: 75:[66, 141] Operation: 62+79=141
Exploring Operation: 79-66=13, Resulting Numbers: [62, 13]
Generated Node #0,4,2: 75:[62, 13] Operation: 79-66=13
Exploring Operation: 66+62=128, Resulting Numbers: [79, 128]
Generated Node #0,4,3: 75:[79, 128] Operation: 66+62=128
Exploring Operation: 66-62=4, Resulting Numbers: [79, 4]
Generated Node #0,4,4: 75:[79, 4] Operation: 66-62=4
Moving to Node #0,3,0
Current State: 75:[26, 75], Operations: ['62-53=9', '66+9=75']
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,75 unequal: No Solution
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[26, 75], Operations: ['66-53=13', '62+13=75']
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,75 unequal: No Solution
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,75 unequal: No Solution
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Moving to Node #0,0,4
Current State: 75:[4, 27], Operations: ['66-62=4', '53-26=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,75 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[4, 79], Operations: ['66-62=4', '53+26=79']
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,75 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[53, 26, 66, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [53, 26, 4]
Generated Node #0,0: 75:[53, 26, 4] Operation: 66-62=4
Moving to Node #0,0
Current State: 75:[53, 26, 4], Operations: ['66-62=4']
Exploring Operation: 53+26=79, Resulting Numbers: [4, 79]
Generated Node #0,0,3: 75:[4, 79] Operation: 53+26=79
Moving to Node #0,0,3
Current State: 75:[4, 79], Operations: ['66-62=4', '53+26=79']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.947917 | hs_5 | sum_heuristic |
[
79,
91,
5,
41
] | 99 | [
"79-41=38",
"5*38=190",
"190-91=99"
] | Current State: 99:[79, 91, 5, 41], Operations: []
Exploring Operation: 79-41=38, Resulting Numbers: [91, 5, 38]
Generated Node #2: [91, 5, 38] from Operation: 79-41=38
Current State: 99:[91, 5, 38], Operations: ['79-41=38']
Exploring Operation: 5*38=190, Resulting Numbers: [91, 190]
Generated Node #3: [91, 190] from Operation: 5*38=190
Current State: 99:[91, 190], Operations: ['79-41=38', '5*38=190']
Exploring Operation: 190-91=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[79, 91, 5, 41], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [5, 41, 12]
Generated Node #0,0: 99:[5, 41, 12] Operation: 91-79=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[5, 41, 12], Operations: ['91-79=12']
Exploring Operation: 41-5=36, Resulting Numbers: [12, 36]
Generated Node #0,0,0: 99:[12, 36] Operation: 41-5=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[12, 36], Operations: ['91-79=12', '41-5=36']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,99 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 |
[
9,
9,
18,
80
] | 63 | [
"9/9=1",
"80-18=62",
"1+62=63"
] | Current State: 63:[9, 9, 18, 80], Operations: []
Exploring Operation: 9/9=1, Resulting Numbers: [18, 80, 1]
Generated Node #2: [18, 80, 1] from Operation: 9/9=1
Current State: 63:[18, 80, 1], Operations: ['9/9=1']
Exploring Operation: 80-18=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 80-18=62
Current State: 63:[1, 62], Operations: ['9/9=1', '80-18=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[9, 9, 18, 80], Operations: []
Exploring Operation: 80-9=71, Resulting Numbers: [9, 18, 71]
Generated Node #0,0: 63:[9, 18, 71] Operation: 80-9=71
Exploring Operation: 80-18=62, Resulting Numbers: [9, 9, 62]
Generated Node #0,1: 63:[9, 9, 62] Operation: 80-18=62
Moving to Node #0,1
Current State: 63:[9, 9, 62], Operations: ['80-18=62']
Exploring Operation: 9+9=18, Resulting Numbers: [62, 18]
Generated Node #0,1,0: 63:[62, 18] Operation: 9+9=18
Exploring Operation: 9/9=1, Resulting Numbers: [62, 1]
Generated Node #0,1,1: 63:[62, 1] Operation: 9/9=1
Moving to Node #0,0
Current State: 63:[9, 18, 71], Operations: ['80-9=71']
Exploring Operation: 18-9=9, Resulting Numbers: [71, 9]
Generated Node #0,0,0: 63:[71, 9] Operation: 18-9=9
Exploring Operation: 71-9=62, Resulting Numbers: [18, 62]
Generated Node #0,0,1: 63:[18, 62] Operation: 71-9=62
Moving to Node #0,1,1
Current State: 63:[62, 1], Operations: ['80-18=62', '9/9=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[9, 9, 18, 80], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [9, 9, 62]
Generated Node #0,1: 63:[9, 9, 62] Operation: 80-18=62
Moving to Node #0,1
Current State: 63:[9, 9, 62], Operations: ['80-18=62']
Exploring Operation: 9/9=1, Resulting Numbers: [62, 1]
Generated Node #0,1,1: 63:[62, 1] Operation: 9/9=1
Moving to Node #0,1,1
Current State: 63:[62, 1], Operations: ['80-18=62', '9/9=1']
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
80,
94,
3,
4
] | 68 | [
"94-80=14",
"3+14=17",
"4*17=68"
] | Current State: 68:[80, 94, 3, 4], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [3, 4, 14]
Generated Node #2: [3, 4, 14] from Operation: 94-80=14
Current State: 68:[3, 4, 14], Operations: ['94-80=14']
Exploring Operation: 3+14=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 3+14=17
Current State: 68:[4, 17], Operations: ['94-80=14', '3+14=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[80, 94, 3, 4], Operations: []
Exploring Operation: 80-3=77, Resulting Numbers: [94, 4, 77]
Generated Node #0,0: 68:[94, 4, 77] Operation: 80-3=77
Exploring Operation: 80/4=20, Resulting Numbers: [94, 3, 20]
Generated Node #0,1: 68:[94, 3, 20] Operation: 80/4=20
Exploring Operation: 80-4=76, Resulting Numbers: [94, 3, 76]
Generated Node #0,2: 68:[94, 3, 76] Operation: 80-4=76
Exploring Operation: 94-80=14, Resulting Numbers: [3, 4, 14]
Generated Node #0,3: 68:[3, 4, 14] Operation: 94-80=14
Exploring Operation: 94-3=91, Resulting Numbers: [80, 4, 91]
Generated Node #0,4: 68:[80, 4, 91] Operation: 94-3=91
Start Sub Search at level 1: Moving to Node #0,3
Current State: 68:[3, 4, 14], Operations: ['94-80=14']
Exploring Operation: 14-3=11, Resulting Numbers: [4, 11]
Generated Node #0,3,0: 68:[4, 11] Operation: 14-3=11
Exploring Operation: 4-3=1, Resulting Numbers: [14, 1]
Generated Node #0,3,1: 68:[14, 1] Operation: 4-3=1
Exploring Operation: 3+14=17, Resulting Numbers: [4, 17]
Generated Node #0,3,2: 68:[4, 17] Operation: 3+14=17
Exploring Operation: 4+14=18, Resulting Numbers: [3, 18]
Generated Node #0,3,3: 68:[3, 18] Operation: 4+14=18
Exploring Operation: 3+4=7, Resulting Numbers: [14, 7]
Generated Node #0,3,4: 68:[14, 7] Operation: 3+4=7
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 68:[4, 17], Operations: ['94-80=14', '3+14=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[80, 94, 3, 4], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [3, 4, 14]
Generated Node #0,3: 68:[3, 4, 14] Operation: 94-80=14
Moving to Node #0,3
Current State: 68:[3, 4, 14], Operations: ['94-80=14']
Exploring Operation: 3+14=17, Resulting Numbers: [4, 17]
Generated Node #0,3,2: 68:[4, 17] Operation: 3+14=17
Moving to Node #0,3,2
Current State: 68:[4, 17], Operations: ['94-80=14', '3+14=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
21,
15,
23,
27
] | 84 | [
"23-21=2",
"15+27=42",
"2*42=84"
] | Current State: 84:[21, 15, 23, 27], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [15, 27, 2]
Generated Node #2: [15, 27, 2] from Operation: 23-21=2
Current State: 84:[15, 27, 2], Operations: ['23-21=2']
Exploring Operation: 15+27=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 15+27=42
Current State: 84:[2, 42], Operations: ['23-21=2', '15+27=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[21, 15, 23, 27], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [21, 27, 8]
Generated Node #0,0: 84:[21, 27, 8] Operation: 23-15=8
Exploring Operation: 27-23=4, Resulting Numbers: [21, 15, 4]
Generated Node #0,1: 84:[21, 15, 4] Operation: 27-23=4
Exploring Operation: 15+27=42, Resulting Numbers: [21, 23, 42]
Generated Node #0,2: 84:[21, 23, 42] Operation: 15+27=42
Exploring Operation: 23-21=2, Resulting Numbers: [15, 27, 2]
Generated Node #0,3: 84:[15, 27, 2] Operation: 23-21=2
Moving to Node #0,1
Current State: 84:[21, 15, 4], Operations: ['27-23=4']
Exploring Operation: 21*4=84, Resulting Numbers: [15, 84]
Generated Node #0,1,0: 84:[15, 84] Operation: 21*4=84
Exploring Operation: 15+4=19, Resulting Numbers: [21, 19]
Generated Node #0,1,1: 84:[21, 19] Operation: 15+4=19
Exploring Operation: 21-15=6, Resulting Numbers: [4, 6]
Generated Node #0,1,2: 84:[4, 6] Operation: 21-15=6
Exploring Operation: 15-4=11, Resulting Numbers: [21, 11]
Generated Node #0,1,3: 84:[21, 11] Operation: 15-4=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 84:[4, 6], Operations: ['27-23=4', '21-15=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[15, 84], Operations: ['27-23=4', '21*4=84']
Exploring Operation: 15+84=99, Resulting Numbers: [99]
99,84 unequal: No Solution
Exploring Operation: 15*84=1260, Resulting Numbers: [1260]
1260,84 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 84:[21, 11], Operations: ['27-23=4', '15-4=11']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 21*11=231, Resulting Numbers: [231]
231,84 unequal: No Solution
Exploring Operation: 21+11=32, Resulting Numbers: [32]
32,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[21, 19], Operations: ['27-23=4', '15+4=19']
Exploring Operation: 21*19=399, Resulting Numbers: [399]
399,84 unequal: No Solution
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,84 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: 84:[21, 23, 42], Operations: ['15+27=42']
Exploring Operation: 23-21=2, Resulting Numbers: [42, 2]
Generated Node #0,2,0: 84:[42, 2] Operation: 23-21=2
Exploring Operation: 42/21=2, Resulting Numbers: [23, 2]
Generated Node #0,2,1: 84:[23, 2] Operation: 42/21=2
Exploring Operation: 42-21=21, Resulting Numbers: [23, 21]
Generated Node #0,2,2: 84:[23, 21] Operation: 42-21=21
Exploring Operation: 21+23=44, Resulting Numbers: [42, 44]
Generated Node #0,2,3: 84:[42, 44] Operation: 21+23=44
Moving to Node #0,0
Current State: 84:[21, 27, 8], Operations: ['23-15=8']
Exploring Operation: 21+8=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 84:[27, 29] Operation: 21+8=29
Exploring Operation: 21-8=13, Resulting Numbers: [27, 13]
Generated Node #0,0,1: 84:[27, 13] Operation: 21-8=13
Exploring Operation: 27-8=19, Resulting Numbers: [21, 19]
Generated Node #0,0,2: 84:[21, 19] Operation: 27-8=19
Exploring Operation: 27-21=6, Resulting Numbers: [8, 6]
Generated Node #0,0,3: 84:[8, 6] Operation: 27-21=6
Moving to Node #0,3
Current State: 84:[15, 27, 2], Operations: ['23-21=2']
Exploring Operation: 27+2=29, Resulting Numbers: [15, 29]
Generated Node #0,3,0: 84:[15, 29] Operation: 27+2=29
Exploring Operation: 27-15=12, Resulting Numbers: [2, 12]
Generated Node #0,3,1: 84:[2, 12] Operation: 27-15=12
Exploring Operation: 15+27=42, Resulting Numbers: [2, 42]
Generated Node #0,3,2: 84:[2, 42] Operation: 15+27=42
Exploring Operation: 15-2=13, Resulting Numbers: [27, 13]
Generated Node #0,3,3: 84:[27, 13] Operation: 15-2=13
Moving to Node #0,2,0
Current State: 84:[42, 2], Operations: ['15+27=42', '23-21=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[21, 15, 23, 27], Operations: []
Exploring Operation: 15+27=42, Resulting Numbers: [21, 23, 42]
Generated Node #0,2: 84:[21, 23, 42] Operation: 15+27=42
Moving to Node #0,2
Current State: 84:[21, 23, 42], Operations: ['15+27=42']
Exploring Operation: 23-21=2, Resulting Numbers: [42, 2]
Generated Node #0,2,0: 84:[42, 2] Operation: 23-21=2
Moving to Node #0,2,0
Current State: 84:[42, 2], Operations: ['15+27=42', '23-21=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.965278 | hs_4 | mult_heuristic |
[
52,
77,
12,
32
] | 75 | [
"52+12=64",
"64/32=2",
"77-2=75"
] | Current State: 75:[52, 77, 12, 32], Operations: []
Exploring Operation: 52+12=64, Resulting Numbers: [77, 32, 64]
Generated Node #2: [77, 32, 64] from Operation: 52+12=64
Current State: 75:[77, 32, 64], Operations: ['52+12=64']
Exploring Operation: 64/32=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 64/32=2
Current State: 75:[77, 2], Operations: ['52+12=64', '64/32=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[52, 77, 12, 32], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [12, 32, 25]
Generated Node #0,0: 75:[12, 32, 25] Operation: 77-52=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[12, 32, 25], Operations: ['77-52=25']
Exploring Operation: 32-12=20, Resulting Numbers: [25, 20]
Generated Node #0,0,0: 75:[25, 20] Operation: 32-12=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[25, 20], Operations: ['77-52=25', '32-12=20']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,75 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_1 | sum_heuristic |
[
99,
81,
63,
27
] | 72 | [
"99-81=18",
"63+27=90",
"90-18=72"
] | Current State: 72:[99, 81, 63, 27], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [63, 27, 18]
Generated Node #2: [63, 27, 18] from Operation: 99-81=18
Current State: 72:[63, 27, 18], Operations: ['99-81=18']
Exploring Operation: 63+27=90, Resulting Numbers: [18, 90]
Generated Node #3: [18, 90] from Operation: 63+27=90
Current State: 72:[18, 90], Operations: ['99-81=18', '63+27=90']
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[99, 81, 63, 27], Operations: []
Exploring Operation: 81-63=18, Resulting Numbers: [99, 27, 18]
Generated Node #0,0: 72:[99, 27, 18] Operation: 81-63=18
Exploring Operation: 81/27=3, Resulting Numbers: [99, 63, 3]
Generated Node #0,1: 72:[99, 63, 3] Operation: 81/27=3
Exploring Operation: 99-63=36, Resulting Numbers: [81, 27, 36]
Generated Node #0,2: 72:[81, 27, 36] Operation: 99-63=36
Exploring Operation: 99-81=18, Resulting Numbers: [63, 27, 18]
Generated Node #0,3: 72:[63, 27, 18] Operation: 99-81=18
Exploring Operation: 99-27=72, Resulting Numbers: [81, 63, 72]
Generated Node #0,4: 72:[81, 63, 72] Operation: 99-27=72
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[81, 27, 36], Operations: ['99-63=36']
Exploring Operation: 81/27=3, Resulting Numbers: [36, 3]
Generated Node #0,2,0: 72:[36, 3] Operation: 81/27=3
Exploring Operation: 81-36=45, Resulting Numbers: [27, 45]
Generated Node #0,2,1: 72:[27, 45] Operation: 81-36=45
Exploring Operation: 81-27=54, Resulting Numbers: [36, 54]
Generated Node #0,2,2: 72:[36, 54] Operation: 81-27=54
Exploring Operation: 36-27=9, Resulting Numbers: [81, 9]
Generated Node #0,2,3: 72:[81, 9] Operation: 36-27=9
Exploring Operation: 27+36=63, Resulting Numbers: [81, 63]
Generated Node #0,2,4: 72:[81, 63] Operation: 27+36=63
Moving to Node #0,2,0
Current State: 72:[36, 3], Operations: ['99-63=36', '81/27=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,72 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[81, 9], Operations: ['99-63=36', '36-27=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[99, 81, 63, 27], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [81, 27, 36]
Generated Node #0,2: 72:[81, 27, 36] Operation: 99-63=36
Moving to Node #0,2
Current State: 72:[81, 27, 36], Operations: ['99-63=36']
Exploring Operation: 36-27=9, Resulting Numbers: [81, 9]
Generated Node #0,2,3: 72:[81, 9] Operation: 36-27=9
Moving to Node #0,2,3
Current State: 72:[81, 9], Operations: ['99-63=36', '36-27=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
16,
12,
19,
66
] | 89 | [
"16-12=4",
"19+66=85",
"4+85=89"
] | Current State: 89:[16, 12, 19, 66], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [19, 66, 4]
Generated Node #2: [19, 66, 4] from Operation: 16-12=4
Current State: 89:[19, 66, 4], Operations: ['16-12=4']
Exploring Operation: 19+66=85, Resulting Numbers: [4, 85]
Generated Node #3: [4, 85] from Operation: 19+66=85
Current State: 89:[4, 85], Operations: ['16-12=4', '19+66=85']
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[16, 12, 19, 66], Operations: []
Exploring Operation: 16+12=28, Resulting Numbers: [19, 66, 28]
Generated Node #0,0: 89:[19, 66, 28] Operation: 16+12=28
Moving to Node #0,0
Current State: 89:[19, 66, 28], Operations: ['16+12=28']
Exploring Operation: 19+66=85, Resulting Numbers: [28, 85]
Generated Node #0,0,0: 89:[28, 85] Operation: 19+66=85
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[28, 85], Operations: ['16+12=28', '19+66=85']
Exploring Operation: 28+85=113, Resulting Numbers: [113]
113,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
94,
75,
64,
94
] | 49 | [
"94-75=19",
"94-64=30",
"19+30=49"
] | Current State: 49:[94, 75, 64, 94], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [64, 19]
Generated Node #2: [64, 19] from Operation: 94-75=19
Current State: 49:[64, 19], Operations: ['94-75=19']
Exploring Operation: 94-64=30, Resulting Numbers: [19, 30]
Generated Node #3: [19, 30] from Operation: 94-64=30
Current State: 49:[19, 30], Operations: ['94-75=19', '94-64=30']
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[94, 75, 64, 94], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [75, 64, 0]
Generated Node #0,0: 49:[75, 64, 0] Operation: 94-94=0
Exploring Operation: 94/94=1, Resulting Numbers: [75, 64, 1]
Generated Node #0,1: 49:[75, 64, 1] Operation: 94/94=1
Moving to Node #0,1
Current State: 49:[75, 64, 1], Operations: ['94/94=1']
Exploring Operation: 75-64=11, Resulting Numbers: [1, 11]
Generated Node #0,1,0: 49:[1, 11] Operation: 75-64=11
Exploring Operation: 75-1=74, Resulting Numbers: [64, 74]
Generated Node #0,1,1: 49:[64, 74] Operation: 75-1=74
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[1, 11], Operations: ['94/94=1', '75-64=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[64, 74], Operations: ['94/94=1', '75-1=74']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 64+74=138, Resulting Numbers: [138]
138,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 49:[75, 64, 0], Operations: ['94-94=0']
Exploring Operation: 75*0=0, Resulting Numbers: [64, 0]
Generated Node #0,0,0: 49:[64, 0] Operation: 75*0=0
Exploring Operation: 75-64=11, Resulting Numbers: [0, 11]
Generated Node #0,0,1: 49:[0, 11] Operation: 75-64=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[0, 11], Operations: ['94-94=0', '75-64=11']
Exploring Operation: 0+11=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[64, 0], Operations: ['94-94=0', '75*0=0']
Exploring Operation: 64+0=64, Resulting Numbers: [64]
64,49 unequal: No Solution
Exploring Operation: 64*0=0, Resulting Numbers: [0]
0,49 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 |
[
12,
4,
26,
20
] | 96 | [
"12+4=16",
"26-20=6",
"16*6=96"
] | Current State: 96:[12, 4, 26, 20], Operations: []
Exploring Operation: 12+4=16, Resulting Numbers: [26, 20, 16]
Generated Node #2: [26, 20, 16] from Operation: 12+4=16
Current State: 96:[26, 20, 16], Operations: ['12+4=16']
Exploring Operation: 26-20=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 26-20=6
Current State: 96:[16, 6], Operations: ['12+4=16', '26-20=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[12, 4, 26, 20], Operations: []
Exploring Operation: 12+20=32, Resulting Numbers: [4, 26, 32]
Generated Node #0,0: 96:[4, 26, 32] Operation: 12+20=32
Exploring Operation: 20-12=8, Resulting Numbers: [4, 26, 8]
Generated Node #0,1: 96:[4, 26, 8] Operation: 20-12=8
Exploring Operation: 26-20=6, Resulting Numbers: [12, 4, 6]
Generated Node #0,2: 96:[12, 4, 6] Operation: 26-20=6
Moving to Node #0,2
Current State: 96:[12, 4, 6], Operations: ['26-20=6']
Exploring Operation: 12+4=16, Resulting Numbers: [6, 16]
Generated Node #0,2,0: 96:[6, 16] Operation: 12+4=16
Exploring Operation: 12*4=48, Resulting Numbers: [6, 48]
Generated Node #0,2,1: 96:[6, 48] Operation: 12*4=48
Exploring Operation: 12-4=8, Resulting Numbers: [6, 8]
Generated Node #0,2,2: 96:[6, 8] Operation: 12-4=8
Moving to Node #0,0
Current State: 96:[4, 26, 32], Operations: ['12+20=32']
Exploring Operation: 32-26=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 96:[4, 6] Operation: 32-26=6
Exploring Operation: 4+26=30, Resulting Numbers: [32, 30]
Generated Node #0,0,1: 96:[32, 30] Operation: 4+26=30
Exploring Operation: 26-4=22, Resulting Numbers: [32, 22]
Generated Node #0,0,2: 96:[32, 22] Operation: 26-4=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[4, 6], Operations: ['12+20=32', '32-26=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[32, 30], Operations: ['12+20=32', '4+26=30']
Exploring Operation: 32*30=960, Resulting Numbers: [960]
960,96 unequal: No Solution
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[32, 22], Operations: ['12+20=32', '26-4=22']
Exploring Operation: 32*22=704, Resulting Numbers: [704]
704,96 unequal: No Solution
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,96 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,96 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: 96:[4, 26, 8], Operations: ['20-12=8']
Exploring Operation: 4+8=12, Resulting Numbers: [26, 12]
Generated Node #0,1,0: 96:[26, 12] Operation: 4+8=12
Exploring Operation: 4+26=30, Resulting Numbers: [8, 30]
Generated Node #0,1,1: 96:[8, 30] Operation: 4+26=30
Exploring Operation: 26-4=22, Resulting Numbers: [8, 22]
Generated Node #0,1,2: 96:[8, 22] Operation: 26-4=22
Moving to Node #0,2,0
Current State: 96:[6, 16], Operations: ['26-20=6', '12+4=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[12, 4, 26, 20], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [12, 4, 6]
Generated Node #0,2: 96:[12, 4, 6] Operation: 26-20=6
Moving to Node #0,2
Current State: 96:[12, 4, 6], Operations: ['26-20=6']
Exploring Operation: 12+4=16, Resulting Numbers: [6, 16]
Generated Node #0,2,0: 96:[6, 16] Operation: 12+4=16
Moving to Node #0,2,0
Current State: 96:[6, 16], Operations: ['26-20=6', '12+4=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
78,
38,
33,
61
] | 88 | [
"78+38=116",
"61-33=28",
"116-28=88"
] | Current State: 88:[78, 38, 33, 61], Operations: []
Exploring Operation: 78+38=116, Resulting Numbers: [33, 61, 116]
Generated Node #2: [33, 61, 116] from Operation: 78+38=116
Current State: 88:[33, 61, 116], Operations: ['78+38=116']
Exploring Operation: 61-33=28, Resulting Numbers: [116, 28]
Generated Node #3: [116, 28] from Operation: 61-33=28
Current State: 88:[116, 28], Operations: ['78+38=116', '61-33=28']
Exploring Operation: 116-28=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[78, 38, 33, 61], Operations: []
Exploring Operation: 33+61=94, Resulting Numbers: [78, 38, 94]
Generated Node #0,0: 88:[78, 38, 94] Operation: 33+61=94
Exploring Operation: 61-38=23, Resulting Numbers: [78, 33, 23]
Generated Node #0,1: 88:[78, 33, 23] Operation: 61-38=23
Exploring Operation: 61-33=28, Resulting Numbers: [78, 38, 28]
Generated Node #0,2: 88:[78, 38, 28] Operation: 61-33=28
Exploring Operation: 78-33=45, Resulting Numbers: [38, 61, 45]
Generated Node #0,3: 88:[38, 61, 45] Operation: 78-33=45
Exploring Operation: 78-61=17, Resulting Numbers: [38, 33, 17]
Generated Node #0,4: 88:[38, 33, 17] Operation: 78-61=17
Moving to Node #0,0
Current State: 88:[78, 38, 94], Operations: ['33+61=94']
Exploring Operation: 38+94=132, Resulting Numbers: [78, 132]
Generated Node #0,0,0: 88:[78, 132] Operation: 38+94=132
Exploring Operation: 94-78=16, Resulting Numbers: [38, 16]
Generated Node #0,0,1: 88:[38, 16] Operation: 94-78=16
Exploring Operation: 78-38=40, Resulting Numbers: [94, 40]
Generated Node #0,0,2: 88:[94, 40] Operation: 78-38=40
Exploring Operation: 94-38=56, Resulting Numbers: [78, 56]
Generated Node #0,0,3: 88:[78, 56] Operation: 94-38=56
Exploring Operation: 78+38=116, Resulting Numbers: [94, 116]
Generated Node #0,0,4: 88:[94, 116] Operation: 78+38=116
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[94, 40], Operations: ['33+61=94', '78-38=40']
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,88 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,88 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[38, 16], Operations: ['33+61=94', '94-78=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,88 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,88 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 88:[78, 56], Operations: ['33+61=94', '94-38=56']
Exploring Operation: 78*56=4368, Resulting Numbers: [4368]
4368,88 unequal: No Solution
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 78+56=134, Resulting Numbers: [134]
134,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 88:[94, 116], Operations: ['33+61=94', '78+38=116']
Exploring Operation: 116-94=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 94+116=210, Resulting Numbers: [210]
210,88 unequal: No Solution
Exploring Operation: 94*116=10904, Resulting Numbers: [10904]
10904,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[78, 132], Operations: ['33+61=94', '38+94=132']
Exploring Operation: 78+132=210, Resulting Numbers: [210]
210,88 unequal: No Solution
Exploring Operation: 78*132=10296, Resulting Numbers: [10296]
10296,88 unequal: No Solution
Exploring Operation: 132-78=54, Resulting Numbers: [54]
54,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 88:[78, 38, 28], Operations: ['61-33=28']
Exploring Operation: 78-38=40, Resulting Numbers: [28, 40]
Generated Node #0,2,0: 88:[28, 40] Operation: 78-38=40
Exploring Operation: 78-28=50, Resulting Numbers: [38, 50]
Generated Node #0,2,1: 88:[38, 50] Operation: 78-28=50
Exploring Operation: 78+28=106, Resulting Numbers: [38, 106]
Generated Node #0,2,2: 88:[38, 106] Operation: 78+28=106
Exploring Operation: 38-28=10, Resulting Numbers: [78, 10]
Generated Node #0,2,3: 88:[78, 10] Operation: 38-28=10
Exploring Operation: 38+28=66, Resulting Numbers: [78, 66]
Generated Node #0,2,4: 88:[78, 66] Operation: 38+28=66
Moving to Node #0,1
Current State: 88:[78, 33, 23], Operations: ['61-38=23']
Exploring Operation: 78-33=45, Resulting Numbers: [23, 45]
Generated Node #0,1,0: 88:[23, 45] Operation: 78-33=45
Exploring Operation: 33+23=56, Resulting Numbers: [78, 56]
Generated Node #0,1,1: 88:[78, 56] Operation: 33+23=56
Exploring Operation: 78-23=55, Resulting Numbers: [33, 55]
Generated Node #0,1,2: 88:[33, 55] Operation: 78-23=55
Exploring Operation: 33-23=10, Resulting Numbers: [78, 10]
Generated Node #0,1,3: 88:[78, 10] Operation: 33-23=10
Exploring Operation: 78+33=111, Resulting Numbers: [23, 111]
Generated Node #0,1,4: 88:[23, 111] Operation: 78+33=111
Moving to Node #0,4
Current State: 88:[38, 33, 17], Operations: ['78-61=17']
Exploring Operation: 38-33=5, Resulting Numbers: [17, 5]
Generated Node #0,4,0: 88:[17, 5] Operation: 38-33=5
Exploring Operation: 33+17=50, Resulting Numbers: [38, 50]
Generated Node #0,4,1: 88:[38, 50] Operation: 33+17=50
Exploring Operation: 33-17=16, Resulting Numbers: [38, 16]
Generated Node #0,4,2: 88:[38, 16] Operation: 33-17=16
Exploring Operation: 38+33=71, Resulting Numbers: [17, 71]
Generated Node #0,4,3: 88:[17, 71] Operation: 38+33=71
Exploring Operation: 38-17=21, Resulting Numbers: [33, 21]
Generated Node #0,4,4: 88:[33, 21] Operation: 38-17=21
Moving to Node #0,3
Current State: 88:[38, 61, 45], Operations: ['78-33=45']
Exploring Operation: 45-38=7, Resulting Numbers: [61, 7]
Generated Node #0,3,0: 88:[61, 7] Operation: 45-38=7
Exploring Operation: 61-38=23, Resulting Numbers: [45, 23]
Generated Node #0,3,1: 88:[45, 23] Operation: 61-38=23
Exploring Operation: 38+45=83, Resulting Numbers: [61, 83]
Generated Node #0,3,2: 88:[61, 83] Operation: 38+45=83
Exploring Operation: 61-45=16, Resulting Numbers: [38, 16]
Generated Node #0,3,3: 88:[38, 16] Operation: 61-45=16
Exploring Operation: 38+61=99, Resulting Numbers: [45, 99]
Generated Node #0,3,4: 88:[45, 99] Operation: 38+61=99
Moving to Node #0,1,0
Current State: 88:[23, 45], Operations: ['61-38=23', '78-33=45']
Exploring Operation: 23+45=68, Resulting Numbers: [68]
68,88 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 23*45=1035, Resulting Numbers: [1035]
1035,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[45, 23], Operations: ['78-33=45', '61-38=23']
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,88 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,88 unequal: No Solution
Moving to Node #0,4,0
Current State: 88:[17, 5], Operations: ['78-61=17', '38-33=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,88 unequal: No Solution
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[28, 40], Operations: ['61-33=28', '78-38=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,88 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,88 unequal: No Solution
Moving to Node #0,1,3
Current State: 88:[78, 10], Operations: ['61-38=23', '33-23=10']
Exploring Operation: 78+10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[78, 38, 33, 61], Operations: []
Exploring Operation: 61-38=23, Resulting Numbers: [78, 33, 23]
Generated Node #0,1: 88:[78, 33, 23] Operation: 61-38=23
Moving to Node #0,1
Current State: 88:[78, 33, 23], Operations: ['61-38=23']
Exploring Operation: 33-23=10, Resulting Numbers: [78, 10]
Generated Node #0,1,3: 88:[78, 10] Operation: 33-23=10
Moving to Node #0,1,3
Current State: 88:[78, 10], Operations: ['61-38=23', '33-23=10']
Exploring Operation: 78+10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.946181 | hs_5 | mult_heuristic |
[
14,
1,
13,
2
] | 56 | [
"14+1=15",
"13+15=28",
"2*28=56"
] | Current State: 56:[14, 1, 13, 2], Operations: []
Exploring Operation: 14+1=15, Resulting Numbers: [13, 2, 15]
Generated Node #2: [13, 2, 15] from Operation: 14+1=15
Current State: 56:[13, 2, 15], Operations: ['14+1=15']
Exploring Operation: 13+15=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 13+15=28
Current State: 56:[2, 28], Operations: ['14+1=15', '13+15=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[14, 1, 13, 2], Operations: []
Exploring Operation: 1+13=14, Resulting Numbers: [14, 2, 14]
Generated Node #0,0: 56:[14, 2, 14] Operation: 1+13=14
Moving to Node #0,0
Current State: 56:[14, 2, 14], Operations: ['1+13=14']
Exploring Operation: 14*2=28, Resulting Numbers: [14, 28]
Generated Node #0,0,0: 56:[14, 28] Operation: 14*2=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[14, 28], Operations: ['1+13=14', '14*2=28']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
33,
6,
90,
12
] | 55 | [
"90-33=57",
"12/6=2",
"57-2=55"
] | Current State: 55:[33, 6, 90, 12], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [6, 12, 57]
Generated Node #2: [6, 12, 57] from Operation: 90-33=57
Current State: 55:[6, 12, 57], Operations: ['90-33=57']
Exploring Operation: 12/6=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 12/6=2
Current State: 55:[57, 2], Operations: ['90-33=57', '12/6=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[33, 6, 90, 12], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [6, 12, 57]
Generated Node #0,0: 55:[6, 12, 57] Operation: 90-33=57
Exploring Operation: 90/6=15, Resulting Numbers: [33, 12, 15]
Generated Node #0,1: 55:[33, 12, 15] Operation: 90/6=15
Exploring Operation: 33-12=21, Resulting Numbers: [6, 90, 21]
Generated Node #0,2: 55:[6, 90, 21] Operation: 33-12=21
Exploring Operation: 33+12=45, Resulting Numbers: [6, 90, 45]
Generated Node #0,3: 55:[6, 90, 45] Operation: 33+12=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[6, 12, 57], Operations: ['90-33=57']
Exploring Operation: 6+12=18, Resulting Numbers: [57, 18]
Generated Node #0,0,0: 55:[57, 18] Operation: 6+12=18
Exploring Operation: 12-6=6, Resulting Numbers: [57, 6]
Generated Node #0,0,1: 55:[57, 6] Operation: 12-6=6
Exploring Operation: 57-6=51, Resulting Numbers: [12, 51]
Generated Node #0,0,2: 55:[12, 51] Operation: 57-6=51
Exploring Operation: 12/6=2, Resulting Numbers: [57, 2]
Generated Node #0,0,3: 55:[57, 2] Operation: 12/6=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[57, 6], Operations: ['90-33=57', '12-6=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 55:[12, 51], Operations: ['90-33=57', '57-6=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,55 unequal: No Solution
Exploring Operation: 12*51=612, Resulting Numbers: [612]
612,55 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 55:[57, 2], Operations: ['90-33=57', '12/6=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[33, 6, 90, 12], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [6, 12, 57]
Generated Node #0,0: 55:[6, 12, 57] Operation: 90-33=57
Moving to Node #0,0
Current State: 55:[6, 12, 57], Operations: ['90-33=57']
Exploring Operation: 12/6=2, Resulting Numbers: [57, 2]
Generated Node #0,0,3: 55:[57, 2] Operation: 12/6=2
Moving to Node #0,0,3
Current State: 55:[57, 2], Operations: ['90-33=57', '12/6=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
1,
46,
92,
36
] | 71 | [
"92/46=2",
"36*2=72",
"72-1=71"
] | Current State: 71:[1, 46, 92, 36], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [1, 36, 2]
Generated Node #2: [1, 36, 2] from Operation: 92/46=2
Current State: 71:[1, 36, 2], Operations: ['92/46=2']
Exploring Operation: 36*2=72, Resulting Numbers: [1, 72]
Generated Node #3: [1, 72] from Operation: 36*2=72
Current State: 71:[1, 72], Operations: ['92/46=2', '36*2=72']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[1, 46, 92, 36], Operations: []
Exploring Operation: 92-1=91, Resulting Numbers: [46, 36, 91]
Generated Node #0,0: 71:[46, 36, 91] Operation: 92-1=91
Exploring Operation: 1+46=47, Resulting Numbers: [92, 36, 47]
Generated Node #0,1: 71:[92, 36, 47] Operation: 1+46=47
Moving to Node #0,0
Current State: 71:[46, 36, 91], Operations: ['92-1=91']
Exploring Operation: 91-36=55, Resulting Numbers: [46, 55]
Generated Node #0,0,0: 71:[46, 55] Operation: 91-36=55
Exploring Operation: 46+36=82, Resulting Numbers: [91, 82]
Generated Node #0,0,1: 71:[91, 82] Operation: 46+36=82
Moving to Node #0,1
Current State: 71:[92, 36, 47], Operations: ['1+46=47']
Exploring Operation: 92-36=56, Resulting Numbers: [47, 56]
Generated Node #0,1,0: 71:[47, 56] Operation: 92-36=56
Exploring Operation: 36+47=83, Resulting Numbers: [92, 83]
Generated Node #0,1,1: 71:[92, 83] Operation: 36+47=83
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[92, 83], Operations: ['1+46=47', '36+47=83']
Exploring Operation: 92-83=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 92+83=175, Resulting Numbers: [175]
175,71 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 #0,1,0
Current State: 71:[47, 56], Operations: ['1+46=47', '92-36=56']
Exploring Operation: 47+56=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,71 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: 71:[91, 82], Operations: ['92-1=91', '46+36=82']
Exploring Operation: 91-82=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 91+82=173, Resulting Numbers: [173]
173,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[46, 55], Operations: ['92-1=91', '91-36=55']
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,71 unequal: No Solution
Exploring Operation: 46+55=101, Resulting Numbers: [101]
101,71 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
76,
48,
80,
8
] | 10 | [
"80-76=4",
"48-8=40",
"40/4=10"
] | Current State: 10:[76, 48, 80, 8], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [48, 8, 4]
Generated Node #2: [48, 8, 4] from Operation: 80-76=4
Current State: 10:[48, 8, 4], Operations: ['80-76=4']
Exploring Operation: 48-8=40, Resulting Numbers: [4, 40]
Generated Node #3: [4, 40] from Operation: 48-8=40
Current State: 10:[4, 40], Operations: ['80-76=4', '48-8=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[76, 48, 80, 8], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [48, 8, 4]
Generated Node #0,0: 10:[48, 8, 4] Operation: 80-76=4
Moving to Node #0,0
Current State: 10:[48, 8, 4], Operations: ['80-76=4']
Exploring Operation: 48/8=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 10:[4, 6] Operation: 48/8=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[4, 6], Operations: ['80-76=4', '48/8=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[76, 48, 80, 8], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [48, 8, 4]
Generated Node #0,0: 10:[48, 8, 4] Operation: 80-76=4
Moving to Node #0,0
Current State: 10:[48, 8, 4], Operations: ['80-76=4']
Exploring Operation: 48/8=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 10:[4, 6] Operation: 48/8=6
Moving to Node #0,0,0
Current State: 10:[4, 6], Operations: ['80-76=4', '48/8=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
79,
8,
36,
34
] | 89 | [
"79+8=87",
"36-34=2",
"87+2=89"
] | Current State: 89:[79, 8, 36, 34], Operations: []
Exploring Operation: 79+8=87, Resulting Numbers: [36, 34, 87]
Generated Node #2: [36, 34, 87] from Operation: 79+8=87
Current State: 89:[36, 34, 87], Operations: ['79+8=87']
Exploring Operation: 36-34=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 36-34=2
Current State: 89:[87, 2], Operations: ['79+8=87', '36-34=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[79, 8, 36, 34], Operations: []
Exploring Operation: 79+8=87, Resulting Numbers: [36, 34, 87]
Generated Node #0,0: 89:[36, 34, 87] Operation: 79+8=87
Exploring Operation: 8+36=44, Resulting Numbers: [79, 34, 44]
Generated Node #0,1: 89:[79, 34, 44] Operation: 8+36=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[36, 34, 87], Operations: ['79+8=87']
Exploring Operation: 36+34=70, Resulting Numbers: [87, 70]
Generated Node #0,0,0: 89:[87, 70] Operation: 36+34=70
Exploring Operation: 34+87=121, Resulting Numbers: [36, 121]
Generated Node #0,0,1: 89:[36, 121] Operation: 34+87=121
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[87, 70], Operations: ['79+8=87', '36+34=70']
Exploring Operation: 87+70=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 87-70=17, Resulting Numbers: [17]
17,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[36, 121], Operations: ['79+8=87', '34+87=121']
Exploring Operation: 36+121=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 121-36=85, Resulting Numbers: [85]
85,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[79, 34, 44], Operations: ['8+36=44']
Exploring Operation: 79+34=113, Resulting Numbers: [44, 113]
Generated Node #0,1,0: 89:[44, 113] Operation: 79+34=113
Exploring Operation: 34+44=78, Resulting Numbers: [79, 78]
Generated Node #0,1,1: 89:[79, 78] Operation: 34+44=78
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[79, 78], Operations: ['8+36=44', '34+44=78']
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 79+78=157, Resulting Numbers: [157]
157,89 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:[44, 113], Operations: ['8+36=44', '79+34=113']
Exploring Operation: 113-44=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 44+113=157, Resulting Numbers: [157]
157,89 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_2 | mult_heuristic |
[
8,
39,
74,
77
] | 63 | [
"77-74=3",
"8*3=24",
"39+24=63"
] | Current State: 63:[8, 39, 74, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [8, 39, 3]
Generated Node #2: [8, 39, 3] from Operation: 77-74=3
Current State: 63:[8, 39, 3], Operations: ['77-74=3']
Exploring Operation: 8*3=24, Resulting Numbers: [39, 24]
Generated Node #3: [39, 24] from Operation: 8*3=24
Current State: 63:[39, 24], Operations: ['77-74=3', '8*3=24']
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[8, 39, 74, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [8, 39, 3]
Generated Node #0,0: 63:[8, 39, 3] Operation: 77-74=3
Exploring Operation: 74-39=35, Resulting Numbers: [8, 77, 35]
Generated Node #0,1: 63:[8, 77, 35] Operation: 74-39=35
Moving to Node #0,0
Current State: 63:[8, 39, 3], Operations: ['77-74=3']
Exploring Operation: 39-8=31, Resulting Numbers: [3, 31]
Generated Node #0,0,0: 63:[3, 31] Operation: 39-8=31
Exploring Operation: 39/3=13, Resulting Numbers: [8, 13]
Generated Node #0,0,1: 63:[8, 13] Operation: 39/3=13
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[8, 13], Operations: ['77-74=3', '39/3=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[3, 31], Operations: ['77-74=3', '39-8=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,63 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: 63:[8, 77, 35], Operations: ['74-39=35']
Exploring Operation: 77-8=69, Resulting Numbers: [35, 69]
Generated Node #0,1,0: 63:[35, 69] Operation: 77-8=69
Exploring Operation: 35-8=27, Resulting Numbers: [77, 27]
Generated Node #0,1,1: 63:[77, 27] Operation: 35-8=27
Moving to Node #0,1,0
Current State: 63:[35, 69], Operations: ['74-39=35', '77-8=69']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[77, 27], Operations: ['74-39=35', '35-8=27']
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,63 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,63 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
71,
61,
56,
53
] | 44 | [
"71+61=132",
"56-53=3",
"132/3=44"
] | Current State: 44:[71, 61, 56, 53], Operations: []
Exploring Operation: 71+61=132, Resulting Numbers: [56, 53, 132]
Generated Node #2: [56, 53, 132] from Operation: 71+61=132
Current State: 44:[56, 53, 132], Operations: ['71+61=132']
Exploring Operation: 56-53=3, Resulting Numbers: [132, 3]
Generated Node #3: [132, 3] from Operation: 56-53=3
Current State: 44:[132, 3], Operations: ['71+61=132', '56-53=3']
Exploring Operation: 132/3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[71, 61, 56, 53], Operations: []
Exploring Operation: 71-53=18, Resulting Numbers: [61, 56, 18]
Generated Node #0,0: 44:[61, 56, 18] Operation: 71-53=18
Exploring Operation: 71-56=15, Resulting Numbers: [61, 53, 15]
Generated Node #0,1: 44:[61, 53, 15] Operation: 71-56=15
Exploring Operation: 71-61=10, Resulting Numbers: [56, 53, 10]
Generated Node #0,2: 44:[56, 53, 10] Operation: 71-61=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[56, 53, 10], Operations: ['71-61=10']
Exploring Operation: 53-10=43, Resulting Numbers: [56, 43]
Generated Node #0,2,0: 44:[56, 43] Operation: 53-10=43
Exploring Operation: 56-53=3, Resulting Numbers: [10, 3]
Generated Node #0,2,1: 44:[10, 3] Operation: 56-53=3
Exploring Operation: 56-10=46, Resulting Numbers: [53, 46]
Generated Node #0,2,2: 44:[53, 46] Operation: 56-10=46
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 44:[10, 3], Operations: ['71-61=10', '56-53=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,44 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 44:[53, 46], Operations: ['71-61=10', '56-10=46']
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 53+46=99, Resulting Numbers: [99]
99,44 unequal: No Solution
Exploring Operation: 53*46=2438, Resulting Numbers: [2438]
2438,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 44:[56, 43], Operations: ['71-61=10', '53-10=43']
Exploring Operation: 56+43=99, Resulting Numbers: [99]
99,44 unequal: No Solution
Exploring Operation: 56*43=2408, Resulting Numbers: [2408]
2408,44 unequal: No Solution
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[61, 53, 15], Operations: ['71-56=15']
Exploring Operation: 61-15=46, Resulting Numbers: [53, 46]
Generated Node #0,1,0: 44:[53, 46] Operation: 61-15=46
Exploring Operation: 53-15=38, Resulting Numbers: [61, 38]
Generated Node #0,1,1: 44:[61, 38] Operation: 53-15=38
Exploring Operation: 61-53=8, Resulting Numbers: [15, 8]
Generated Node #0,1,2: 44:[15, 8] Operation: 61-53=8
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 44:[15, 8], Operations: ['71-56=15', '61-53=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,44 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[53, 46], Operations: ['71-56=15', '61-15=46']
Exploring Operation: 53*46=2438, Resulting Numbers: [2438]
2438,44 unequal: No Solution
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 53+46=99, Resulting Numbers: [99]
99,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[61, 38], Operations: ['71-56=15', '53-15=38']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 61+38=99, Resulting Numbers: [99]
99,44 unequal: No Solution
Exploring Operation: 61*38=2318, Resulting Numbers: [2318]
2318,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[61, 56, 18], Operations: ['71-53=18']
Exploring Operation: 56-18=38, Resulting Numbers: [61, 38]
Generated Node #0,0,0: 44:[61, 38] Operation: 56-18=38
Exploring Operation: 61-18=43, Resulting Numbers: [56, 43]
Generated Node #0,0,1: 44:[56, 43] Operation: 61-18=43
Exploring Operation: 61-56=5, Resulting Numbers: [18, 5]
Generated Node #0,0,2: 44:[18, 5] Operation: 61-56=5
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 44:[18, 5], Operations: ['71-53=18', '61-56=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,44 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[56, 43], Operations: ['71-53=18', '61-18=43']
Exploring Operation: 56*43=2408, Resulting Numbers: [2408]
2408,44 unequal: No Solution
Exploring Operation: 56+43=99, Resulting Numbers: [99]
99,44 unequal: No Solution
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 44:[61, 38], Operations: ['71-53=18', '56-18=38']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 61+38=99, Resulting Numbers: [99]
99,44 unequal: No Solution
Exploring Operation: 61*38=2318, Resulting Numbers: [2318]
2318,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
49,
33,
46,
94
] | 11 | [
"49+94=143",
"46-33=13",
"143/13=11"
] | Current State: 11:[49, 33, 46, 94], Operations: []
Exploring Operation: 49+94=143, Resulting Numbers: [33, 46, 143]
Generated Node #2: [33, 46, 143] from Operation: 49+94=143
Current State: 11:[33, 46, 143], Operations: ['49+94=143']
Exploring Operation: 46-33=13, Resulting Numbers: [143, 13]
Generated Node #3: [143, 13] from Operation: 46-33=13
Current State: 11:[143, 13], Operations: ['49+94=143', '46-33=13']
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[49, 33, 46, 94], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [46, 94, 16]
Generated Node #0,0: 11:[46, 94, 16] Operation: 49-33=16
Exploring Operation: 49-46=3, Resulting Numbers: [33, 94, 3]
Generated Node #0,1: 11:[33, 94, 3] Operation: 49-46=3
Exploring Operation: 94-49=45, Resulting Numbers: [33, 46, 45]
Generated Node #0,2: 11:[33, 46, 45] Operation: 94-49=45
Exploring Operation: 46-33=13, Resulting Numbers: [49, 94, 13]
Generated Node #0,3: 11:[49, 94, 13] Operation: 46-33=13
Exploring Operation: 94-46=48, Resulting Numbers: [49, 33, 48]
Generated Node #0,4: 11:[49, 33, 48] Operation: 94-46=48
Moving to Node #0,2
Current State: 11:[33, 46, 45], Operations: ['94-49=45']
Exploring Operation: 46-33=13, Resulting Numbers: [45, 13]
Generated Node #0,2,0: 11:[45, 13] Operation: 46-33=13
Exploring Operation: 46-45=1, Resulting Numbers: [33, 1]
Generated Node #0,2,1: 11:[33, 1] Operation: 46-45=1
Exploring Operation: 45-33=12, Resulting Numbers: [46, 12]
Generated Node #0,2,2: 11:[46, 12] Operation: 45-33=12
Exploring Operation: 33+46=79, Resulting Numbers: [45, 79]
Generated Node #0,2,3: 11:[45, 79] Operation: 33+46=79
Exploring Operation: 33+45=78, Resulting Numbers: [46, 78]
Generated Node #0,2,4: 11:[46, 78] Operation: 33+45=78
Moving to Node #0,4
Current State: 11:[49, 33, 48], Operations: ['94-46=48']
Exploring Operation: 48-33=15, Resulting Numbers: [49, 15]
Generated Node #0,4,0: 11:[49, 15] Operation: 48-33=15
Exploring Operation: 49+48=97, Resulting Numbers: [33, 97]
Generated Node #0,4,1: 11:[33, 97] Operation: 49+48=97
Exploring Operation: 49+33=82, Resulting Numbers: [48, 82]
Generated Node #0,4,2: 11:[48, 82] Operation: 49+33=82
Exploring Operation: 49-33=16, Resulting Numbers: [48, 16]
Generated Node #0,4,3: 11:[48, 16] Operation: 49-33=16
Exploring Operation: 49-48=1, Resulting Numbers: [33, 1]
Generated Node #0,4,4: 11:[33, 1] Operation: 49-48=1
Moving to Node #0,1
Current State: 11:[33, 94, 3], Operations: ['49-46=3']
Exploring Operation: 33+3=36, Resulting Numbers: [94, 36]
Generated Node #0,1,0: 11:[94, 36] Operation: 33+3=36
Exploring Operation: 94-3=91, Resulting Numbers: [33, 91]
Generated Node #0,1,1: 11:[33, 91] Operation: 94-3=91
Exploring Operation: 33-3=30, Resulting Numbers: [94, 30]
Generated Node #0,1,2: 11:[94, 30] Operation: 33-3=30
Exploring Operation: 94-33=61, Resulting Numbers: [3, 61]
Generated Node #0,1,3: 11:[3, 61] Operation: 94-33=61
Exploring Operation: 33/3=11, Resulting Numbers: [94, 11]
Generated Node #0,1,4: 11:[94, 11] Operation: 33/3=11
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[3, 61], Operations: ['49-46=3', '94-33=61']
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,11 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,11 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,11 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 #0,1,4
Current State: 11:[94, 11], Operations: ['49-46=3', '33/3=11']
Exploring Operation: 94+11=105, Resulting Numbers: [105]
105,11 unequal: No Solution
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,11 unequal: No Solution
Exploring Operation: 94*11=1034, Resulting Numbers: [1034]
1034,11 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:[33, 91], Operations: ['49-46=3', '94-3=91']
Exploring Operation: 91-33=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 33*91=3003, Resulting Numbers: [3003]
3003,11 unequal: No Solution
Exploring Operation: 33+91=124, Resulting Numbers: [124]
124,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[94, 30], Operations: ['49-46=3', '33-3=30']
Exploring Operation: 94*30=2820, Resulting Numbers: [2820]
2820,11 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,11 unequal: No Solution
Exploring Operation: 94+30=124, Resulting Numbers: [124]
124,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[94, 36], Operations: ['49-46=3', '33+3=36']
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 94*36=3384, Resulting Numbers: [3384]
3384,11 unequal: No Solution
Exploring Operation: 94+36=130, Resulting Numbers: [130]
130,11 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: 11:[46, 94, 16], Operations: ['49-33=16']
Exploring Operation: 46+16=62, Resulting Numbers: [94, 62]
Generated Node #0,0,0: 11:[94, 62] Operation: 46+16=62
Exploring Operation: 46+94=140, Resulting Numbers: [16, 140]
Generated Node #0,0,1: 11:[16, 140] Operation: 46+94=140
Exploring Operation: 94-46=48, Resulting Numbers: [16, 48]
Generated Node #0,0,2: 11:[16, 48] Operation: 94-46=48
Exploring Operation: 46-16=30, Resulting Numbers: [94, 30]
Generated Node #0,0,3: 11:[94, 30] Operation: 46-16=30
Exploring Operation: 94-16=78, Resulting Numbers: [46, 78]
Generated Node #0,0,4: 11:[46, 78] Operation: 94-16=78
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[16, 48], Operations: ['49-33=16', '94-46=48']
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,11 unequal: No Solution
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 16*48=768, Resulting Numbers: [768]
768,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[94, 30], Operations: ['49-33=16', '46-16=30']
Exploring Operation: 94+30=124, Resulting Numbers: [124]
124,11 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,11 unequal: No Solution
Exploring Operation: 94*30=2820, Resulting Numbers: [2820]
2820,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[46, 78], Operations: ['49-33=16', '94-16=78']
Exploring Operation: 46+78=124, Resulting Numbers: [124]
124,11 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 46*78=3588, Resulting Numbers: [3588]
3588,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[94, 62], Operations: ['49-33=16', '46+16=62']
Exploring Operation: 94*62=5828, Resulting Numbers: [5828]
5828,11 unequal: No Solution
Exploring Operation: 94-62=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 94+62=156, Resulting Numbers: [156]
156,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[16, 140], Operations: ['49-33=16', '46+94=140']
Exploring Operation: 140-16=124, Resulting Numbers: [124]
124,11 unequal: No Solution
Exploring Operation: 16+140=156, Resulting Numbers: [156]
156,11 unequal: No Solution
Exploring Operation: 16*140=2240, Resulting Numbers: [2240]
2240,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 11:[49, 94, 13], Operations: ['46-33=13']
Exploring Operation: 49-13=36, Resulting Numbers: [94, 36]
Generated Node #0,3,0: 11:[94, 36] Operation: 49-13=36
Exploring Operation: 94-13=81, Resulting Numbers: [49, 81]
Generated Node #0,3,1: 11:[49, 81] Operation: 94-13=81
Exploring Operation: 94-49=45, Resulting Numbers: [13, 45]
Generated Node #0,3,2: 11:[13, 45] Operation: 94-49=45
Exploring Operation: 49+94=143, Resulting Numbers: [13, 143]
Generated Node #0,3,3: 11:[13, 143] Operation: 49+94=143
Exploring Operation: 49+13=62, Resulting Numbers: [94, 62]
Generated Node #0,3,4: 11:[94, 62] Operation: 49+13=62
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[13, 45], Operations: ['46-33=13', '94-49=45']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 13*45=585, Resulting Numbers: [585]
585,11 unequal: No Solution
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[94, 36], Operations: ['46-33=13', '49-13=36']
Exploring Operation: 94*36=3384, Resulting Numbers: [3384]
3384,11 unequal: No Solution
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 94+36=130, Resulting Numbers: [130]
130,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[49, 81], Operations: ['46-33=13', '94-13=81']
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 49+81=130, Resulting Numbers: [130]
130,11 unequal: No Solution
Exploring Operation: 49*81=3969, Resulting Numbers: [3969]
3969,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[13, 143], Operations: ['46-33=13', '49+94=143']
Exploring Operation: 143-13=130, Resulting Numbers: [130]
130,11 unequal: No Solution
Exploring Operation: 13*143=1859, Resulting Numbers: [1859]
1859,11 unequal: No Solution
Exploring Operation: 13+143=156, Resulting Numbers: [156]
156,11 unequal: No Solution
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[49, 33, 46, 94], Operations: []
Exploring Operation: 46-33=13, Resulting Numbers: [49, 94, 13]
Generated Node #0,3: 11:[49, 94, 13] Operation: 46-33=13
Moving to Node #0,3
Current State: 11:[49, 94, 13], Operations: ['46-33=13']
Exploring Operation: 49+94=143, Resulting Numbers: [13, 143]
Generated Node #0,3,3: 11:[13, 143] Operation: 49+94=143
Moving to Node #0,3,3
Current State: 11:[13, 143], Operations: ['46-33=13', '49+94=143']
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.932292 | hs_5 | mult_heuristic |
[
80,
10,
68,
35
] | 41 | [
"80/10=8",
"68-35=33",
"8+33=41"
] | Current State: 41:[80, 10, 68, 35], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [68, 35, 8]
Generated Node #2: [68, 35, 8] from Operation: 80/10=8
Current State: 41:[68, 35, 8], Operations: ['80/10=8']
Exploring Operation: 68-35=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 68-35=33
Current State: 41:[8, 33], Operations: ['80/10=8', '68-35=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[80, 10, 68, 35], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [68, 35, 70]
Generated Node #0,0: 41:[68, 35, 70] Operation: 80-10=70
Exploring Operation: 80-35=45, Resulting Numbers: [10, 68, 45]
Generated Node #0,1: 41:[10, 68, 45] Operation: 80-35=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[68, 35, 70], Operations: ['80-10=70']
Exploring Operation: 70-35=35, Resulting Numbers: [68, 35]
Generated Node #0,0,0: 41:[68, 35] Operation: 70-35=35
Exploring Operation: 68-35=33, Resulting Numbers: [70, 33]
Generated Node #0,0,1: 41:[70, 33] Operation: 68-35=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[68, 35], Operations: ['80-10=70', '70-35=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[70, 33], Operations: ['80-10=70', '68-35=33']
Exploring Operation: 70+33=103, Resulting Numbers: [103]
103,41 unequal: No Solution
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[10, 68, 45], Operations: ['80-35=45']
Exploring Operation: 45-10=35, Resulting Numbers: [68, 35]
Generated Node #0,1,0: 41:[68, 35] Operation: 45-10=35
Exploring Operation: 68-10=58, Resulting Numbers: [45, 58]
Generated Node #0,1,1: 41:[45, 58] Operation: 68-10=58
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[45, 58], Operations: ['80-35=45', '68-10=58']
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 45+58=103, Resulting Numbers: [103]
103,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[68, 35], Operations: ['80-35=45', '45-10=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
52,
2,
58,
35
] | 49 | [
"52/2=26",
"58-35=23",
"26+23=49"
] | Current State: 49:[52, 2, 58, 35], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [58, 35, 26]
Generated Node #2: [58, 35, 26] from Operation: 52/2=26
Current State: 49:[58, 35, 26], Operations: ['52/2=26']
Exploring Operation: 58-35=23, Resulting Numbers: [26, 23]
Generated Node #3: [26, 23] from Operation: 58-35=23
Current State: 49:[26, 23], Operations: ['52/2=26', '58-35=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[52, 2, 58, 35], Operations: []
Exploring Operation: 58-2=56, Resulting Numbers: [52, 35, 56]
Generated Node #0,0: 49:[52, 35, 56] Operation: 58-2=56
Exploring Operation: 2+35=37, Resulting Numbers: [52, 58, 37]
Generated Node #0,1: 49:[52, 58, 37] Operation: 2+35=37
Exploring Operation: 58-52=6, Resulting Numbers: [2, 35, 6]
Generated Node #0,2: 49:[2, 35, 6] Operation: 58-52=6
Exploring Operation: 52-2=50, Resulting Numbers: [58, 35, 50]
Generated Node #0,3: 49:[58, 35, 50] Operation: 52-2=50
Exploring Operation: 52-35=17, Resulting Numbers: [2, 58, 17]
Generated Node #0,4: 49:[2, 58, 17] Operation: 52-35=17
Moving to Node #0,2
Current State: 49:[2, 35, 6], Operations: ['58-52=6']
Exploring Operation: 6-2=4, Resulting Numbers: [35, 4]
Generated Node #0,2,0: 49:[35, 4] Operation: 6-2=4
Exploring Operation: 2+6=8, Resulting Numbers: [35, 8]
Generated Node #0,2,1: 49:[35, 8] Operation: 2+6=8
Exploring Operation: 35+6=41, Resulting Numbers: [2, 41]
Generated Node #0,2,2: 49:[2, 41] Operation: 35+6=41
Exploring Operation: 35-2=33, Resulting Numbers: [6, 33]
Generated Node #0,2,3: 49:[6, 33] Operation: 35-2=33
Exploring Operation: 2+35=37, Resulting Numbers: [6, 37]
Generated Node #0,2,4: 49:[6, 37] Operation: 2+35=37
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[2, 41], Operations: ['58-52=6', '35+6=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 49:[6, 37], Operations: ['58-52=6', '2+35=37']
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[35, 8], Operations: ['58-52=6', '2+6=8']
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,49 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[35, 4], Operations: ['58-52=6', '6-2=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 49:[6, 33], Operations: ['58-52=6', '35-2=33']
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,49 unequal: No Solution
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,49 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: 49:[52, 58, 37], Operations: ['2+35=37']
Exploring Operation: 58-37=21, Resulting Numbers: [52, 21]
Generated Node #0,1,0: 49:[52, 21] Operation: 58-37=21
Exploring Operation: 58+37=95, Resulting Numbers: [52, 95]
Generated Node #0,1,1: 49:[52, 95] Operation: 58+37=95
Exploring Operation: 52+37=89, Resulting Numbers: [58, 89]
Generated Node #0,1,2: 49:[58, 89] Operation: 52+37=89
Exploring Operation: 52-37=15, Resulting Numbers: [58, 15]
Generated Node #0,1,3: 49:[58, 15] Operation: 52-37=15
Exploring Operation: 58-52=6, Resulting Numbers: [37, 6]
Generated Node #0,1,4: 49:[37, 6] Operation: 58-52=6
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 49:[37, 6], Operations: ['2+35=37', '58-52=6']
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,49 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[52, 21], Operations: ['2+35=37', '58-37=21']
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,49 unequal: No Solution
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 49:[58, 15], Operations: ['2+35=37', '52-37=15']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,49 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[52, 95], Operations: ['2+35=37', '58+37=95']
Exploring Operation: 52+95=147, Resulting Numbers: [147]
147,49 unequal: No Solution
Exploring Operation: 95-52=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 52*95=4940, Resulting Numbers: [4940]
4940,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 49:[58, 89], Operations: ['2+35=37', '52+37=89']
Exploring Operation: 58*89=5162, Resulting Numbers: [5162]
5162,49 unequal: No Solution
Exploring Operation: 89-58=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 58+89=147, Resulting Numbers: [147]
147,49 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: 49:[2, 58, 17], Operations: ['52-35=17']
Exploring Operation: 58-2=56, Resulting Numbers: [17, 56]
Generated Node #0,4,0: 49:[17, 56] Operation: 58-2=56
Exploring Operation: 58-17=41, Resulting Numbers: [2, 41]
Generated Node #0,4,1: 49:[2, 41] Operation: 58-17=41
Exploring Operation: 2+17=19, Resulting Numbers: [58, 19]
Generated Node #0,4,2: 49:[58, 19] Operation: 2+17=19
Exploring Operation: 17-2=15, Resulting Numbers: [58, 15]
Generated Node #0,4,3: 49:[58, 15] Operation: 17-2=15
Exploring Operation: 2+58=60, Resulting Numbers: [17, 60]
Generated Node #0,4,4: 49:[17, 60] Operation: 2+58=60
Moving to Node #0,0
Current State: 49:[52, 35, 56], Operations: ['58-2=56']
Exploring Operation: 56-35=21, Resulting Numbers: [52, 21]
Generated Node #0,0,0: 49:[52, 21] Operation: 56-35=21
Exploring Operation: 56-52=4, Resulting Numbers: [35, 4]
Generated Node #0,0,1: 49:[35, 4] Operation: 56-52=4
Exploring Operation: 35+56=91, Resulting Numbers: [52, 91]
Generated Node #0,0,2: 49:[52, 91] Operation: 35+56=91
Exploring Operation: 52+35=87, Resulting Numbers: [56, 87]
Generated Node #0,0,3: 49:[56, 87] Operation: 52+35=87
Exploring Operation: 52-35=17, Resulting Numbers: [56, 17]
Generated Node #0,0,4: 49:[56, 17] Operation: 52-35=17
Moving to Node #0,3
Current State: 49:[58, 35, 50], Operations: ['52-2=50']
Exploring Operation: 50-35=15, Resulting Numbers: [58, 15]
Generated Node #0,3,0: 49:[58, 15] Operation: 50-35=15
Exploring Operation: 35+50=85, Resulting Numbers: [58, 85]
Generated Node #0,3,1: 49:[58, 85] Operation: 35+50=85
Exploring Operation: 58-50=8, Resulting Numbers: [35, 8]
Generated Node #0,3,2: 49:[35, 8] Operation: 58-50=8
Exploring Operation: 58+35=93, Resulting Numbers: [50, 93]
Generated Node #0,3,3: 49:[50, 93] Operation: 58+35=93
Exploring Operation: 58-35=23, Resulting Numbers: [50, 23]
Generated Node #0,3,4: 49:[50, 23] Operation: 58-35=23
Moving to Node #0,4,1
Current State: 49:[2, 41], Operations: ['52-35=17', '58-17=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[35, 8], Operations: ['52-2=50', '58-50=8']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,49 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Moving to Node #0,4,3
Current State: 49:[58, 15], Operations: ['52-35=17', '17-2=15']
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,49 unequal: No Solution
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[35, 4], Operations: ['58-2=56', '56-52=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,49 unequal: No Solution
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[52, 21], Operations: ['58-2=56', '56-35=21']
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[58, 15], Operations: ['52-2=50', '50-35=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 58*15=870, Resulting Numbers: [870]
870,49 unequal: No Solution
Moving to Node #0,3,4
Current State: 49:[50, 23], Operations: ['52-2=50', '58-35=23']
Exploring Operation: 50*23=1150, Resulting Numbers: [1150]
1150,49 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 50+23=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Moving to Node #0,4,0
Current State: 49:[17, 56], Operations: ['52-35=17', '58-2=56']
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 17*56=952, Resulting Numbers: [952]
952,49 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Moving to Node #0,0,4
Current State: 49:[56, 17], Operations: ['58-2=56', '52-35=17']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,49 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Moving to Node #0,4,4
Current State: 49:[17, 60], Operations: ['52-35=17', '2+58=60']
Exploring Operation: 17*60=1020, Resulting Numbers: [1020]
1020,49 unequal: No Solution
Exploring Operation: 60-17=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 17+60=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Moving to Node #0,4,2
Current State: 49:[58, 19], Operations: ['52-35=17', '2+17=19']
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,49 unequal: No Solution
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[58, 85], Operations: ['52-2=50', '35+50=85']
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 58+85=143, Resulting Numbers: [143]
143,49 unequal: No Solution
Exploring Operation: 58*85=4930, Resulting Numbers: [4930]
4930,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[50, 93], Operations: ['52-2=50', '58+35=93']
Exploring Operation: 50+93=143, Resulting Numbers: [143]
143,49 unequal: No Solution
Exploring Operation: 50*93=4650, Resulting Numbers: [4650]
4650,49 unequal: No Solution
Exploring Operation: 93-50=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[52, 91], Operations: ['58-2=56', '35+56=91']
Exploring Operation: 52+91=143, Resulting Numbers: [143]
143,49 unequal: No Solution
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 52*91=4732, Resulting Numbers: [4732]
4732,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[56, 87], Operations: ['58-2=56', '52+35=87']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,49 unequal: No Solution
Exploring Operation: 56+87=143, Resulting Numbers: [143]
143,49 unequal: No Solution
Exploring Operation: 56*87=4872, Resulting Numbers: [4872]
4872,49 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
25,
12,
8,
35
] | 86 | [
"35-25=10",
"12*8=96",
"96-10=86"
] | Current State: 86:[25, 12, 8, 35], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [12, 8, 10]
Generated Node #2: [12, 8, 10] from Operation: 35-25=10
Current State: 86:[12, 8, 10], Operations: ['35-25=10']
Exploring Operation: 12*8=96, Resulting Numbers: [10, 96]
Generated Node #3: [10, 96] from Operation: 12*8=96
Current State: 86:[10, 96], Operations: ['35-25=10', '12*8=96']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[25, 12, 8, 35], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [12, 8, 10]
Generated Node #0,0: 86:[12, 8, 10] Operation: 35-25=10
Exploring Operation: 25+12=37, Resulting Numbers: [8, 35, 37]
Generated Node #0,1: 86:[8, 35, 37] Operation: 25+12=37
Moving to Node #0,1
Current State: 86:[8, 35, 37], Operations: ['25+12=37']
Exploring Operation: 37-35=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 86:[8, 2] Operation: 37-35=2
Exploring Operation: 8+35=43, Resulting Numbers: [37, 43]
Generated Node #0,1,1: 86:[37, 43] Operation: 8+35=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[8, 2], Operations: ['25+12=37', '37-35=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[37, 43], Operations: ['25+12=37', '8+35=43']
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 86:[12, 8, 10], Operations: ['35-25=10']
Exploring Operation: 12-10=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 86:[8, 2] Operation: 12-10=2
Exploring Operation: 12-8=4, Resulting Numbers: [10, 4]
Generated Node #0,0,1: 86:[10, 4] Operation: 12-8=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[8, 2], Operations: ['35-25=10', '12-10=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[10, 4], Operations: ['35-25=10', '12-8=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
56,
15,
41,
69
] | 82 | [
"56+15=71",
"71-69=2",
"41*2=82"
] | Current State: 82:[56, 15, 41, 69], Operations: []
Exploring Operation: 56+15=71, Resulting Numbers: [41, 69, 71]
Generated Node #2: [41, 69, 71] from Operation: 56+15=71
Current State: 82:[41, 69, 71], Operations: ['56+15=71']
Exploring Operation: 71-69=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 71-69=2
Current State: 82:[41, 2], Operations: ['56+15=71', '71-69=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[56, 15, 41, 69], Operations: []
Exploring Operation: 15+69=84, Resulting Numbers: [56, 41, 84]
Generated Node #0,0: 82:[56, 41, 84] Operation: 15+69=84
Exploring Operation: 56-15=41, Resulting Numbers: [41, 69, 41]
Generated Node #0,1: 82:[41, 69, 41] Operation: 56-15=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[41, 69, 41], Operations: ['56-15=41']
Exploring Operation: 41+41=82, Resulting Numbers: [69, 82]
Generated Node #0,1,0: 82:[69, 82] Operation: 41+41=82
Exploring Operation: 69-41=28, Resulting Numbers: [41, 28]
Generated Node #0,1,1: 82:[41, 28] Operation: 69-41=28
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[69, 82], Operations: ['56-15=41', '41+41=82']
Exploring Operation: 69+82=151, Resulting Numbers: [151]
151,82 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[41, 28], Operations: ['56-15=41', '69-41=28']
Exploring Operation: 41+28=69, Resulting Numbers: [69]
69,82 unequal: No Solution
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[56, 41, 84], Operations: ['15+69=84']
Exploring Operation: 56-41=15, Resulting Numbers: [84, 15]
Generated Node #0,0,0: 82:[84, 15] Operation: 56-41=15
Exploring Operation: 84-56=28, Resulting Numbers: [41, 28]
Generated Node #0,0,1: 82:[41, 28] Operation: 84-56=28
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[41, 28], Operations: ['15+69=84', '84-56=28']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 41+28=69, Resulting Numbers: [69]
69,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[84, 15], Operations: ['15+69=84', '56-41=15']
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,82 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
43,
53,
52,
63
] | 47 | [
"43*63=2709",
"53*52=2756",
"2756-2709=47"
] | Current State: 47:[43, 53, 52, 63], Operations: []
Exploring Operation: 43*63=2709, Resulting Numbers: [53, 52, 2709]
Generated Node #2: [53, 52, 2709] from Operation: 43*63=2709
Current State: 47:[53, 52, 2709], Operations: ['43*63=2709']
Exploring Operation: 53*52=2756, Resulting Numbers: [2709, 2756]
Generated Node #3: [2709, 2756] from Operation: 53*52=2756
Current State: 47:[2709, 2756], Operations: ['43*63=2709', '53*52=2756']
Exploring Operation: 2756-2709=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[43, 53, 52, 63], Operations: []
Exploring Operation: 63-43=20, Resulting Numbers: [53, 52, 20]
Generated Node #0,0: 47:[53, 52, 20] Operation: 63-43=20
Exploring Operation: 63-52=11, Resulting Numbers: [43, 53, 11]
Generated Node #0,1: 47:[43, 53, 11] Operation: 63-52=11
Exploring Operation: 63-53=10, Resulting Numbers: [43, 52, 10]
Generated Node #0,2: 47:[43, 52, 10] Operation: 63-53=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[53, 52, 20], Operations: ['63-43=20']
Exploring Operation: 53-20=33, Resulting Numbers: [52, 33]
Generated Node #0,0,0: 47:[52, 33] Operation: 53-20=33
Exploring Operation: 52-20=32, Resulting Numbers: [53, 32]
Generated Node #0,0,1: 47:[53, 32] Operation: 52-20=32
Exploring Operation: 53+20=73, Resulting Numbers: [52, 73]
Generated Node #0,0,2: 47:[52, 73] Operation: 53+20=73
Moving to Node #0,0,0
Current State: 47:[52, 33], Operations: ['63-43=20', '53-20=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,47 unequal: No Solution
Exploring Operation: 52*33=1716, Resulting Numbers: [1716]
1716,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[53, 32], Operations: ['63-43=20', '52-20=32']
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,47 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[52, 73], Operations: ['63-43=20', '53+20=73']
Exploring Operation: 52+73=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 52*73=3796, Resulting Numbers: [3796]
3796,47 unequal: No Solution
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,47 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
Current State: 47:[43, 53, 11], Operations: ['63-52=11']
Exploring Operation: 43-11=32, Resulting Numbers: [53, 32]
Generated Node #0,1,0: 47:[53, 32] Operation: 43-11=32
Exploring Operation: 43+11=54, Resulting Numbers: [53, 54]
Generated Node #0,1,1: 47:[53, 54] Operation: 43+11=54
Exploring Operation: 53-11=42, Resulting Numbers: [43, 42]
Generated Node #0,1,2: 47:[43, 42] Operation: 53-11=42
Moving to Node #0,1,2
Current State: 47:[43, 42], Operations: ['63-52=11', '53-11=42']
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 43*42=1806, Resulting Numbers: [1806]
1806,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[53, 54], Operations: ['63-52=11', '43+11=54']
Exploring Operation: 53*54=2862, Resulting Numbers: [2862]
2862,47 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 53+54=107, Resulting Numbers: [107]
107,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[53, 32], Operations: ['63-52=11', '43-11=32']
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,47 unequal: No Solution
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[43, 52, 10], Operations: ['63-53=10']
Exploring Operation: 43-10=33, Resulting Numbers: [52, 33]
Generated Node #0,2,0: 47:[52, 33] Operation: 43-10=33
Exploring Operation: 43+10=53, Resulting Numbers: [52, 53]
Generated Node #0,2,1: 47:[52, 53] Operation: 43+10=53
Exploring Operation: 52-10=42, Resulting Numbers: [43, 42]
Generated Node #0,2,2: 47:[43, 42] Operation: 52-10=42
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[43, 42], Operations: ['63-53=10', '52-10=42']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 43*42=1806, Resulting Numbers: [1806]
1806,47 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 #0,2,1
Current State: 47:[52, 53], Operations: ['63-53=10', '43+10=53']
Exploring Operation: 52*53=2756, Resulting Numbers: [2756]
2756,47 unequal: No Solution
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 52+53=105, Resulting Numbers: [105]
105,47 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 #0,2,0
Current State: 47:[52, 33], Operations: ['63-53=10', '43-10=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,47 unequal: No Solution
Exploring Operation: 52*33=1716, Resulting Numbers: [1716]
1716,47 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 |
[
81,
10,
3,
16
] | 83 | [
"81*3=243",
"10*16=160",
"243-160=83"
] | Current State: 83:[81, 10, 3, 16], Operations: []
Exploring Operation: 81*3=243, Resulting Numbers: [10, 16, 243]
Generated Node #2: [10, 16, 243] from Operation: 81*3=243
Current State: 83:[10, 16, 243], Operations: ['81*3=243']
Exploring Operation: 10*16=160, Resulting Numbers: [243, 160]
Generated Node #3: [243, 160] from Operation: 10*16=160
Current State: 83:[243, 160], Operations: ['81*3=243', '10*16=160']
Exploring Operation: 243-160=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[81, 10, 3, 16], Operations: []
Exploring Operation: 3*16=48, Resulting Numbers: [81, 10, 48]
Generated Node #0,0: 83:[81, 10, 48] Operation: 3*16=48
Exploring Operation: 10*3=30, Resulting Numbers: [81, 16, 30]
Generated Node #0,1: 83:[81, 16, 30] Operation: 10*3=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[81, 10, 48], Operations: ['3*16=48']
Exploring Operation: 81+10=91, Resulting Numbers: [48, 91]
Generated Node #0,0,0: 83:[48, 91] Operation: 81+10=91
Exploring Operation: 10+48=58, Resulting Numbers: [81, 58]
Generated Node #0,0,1: 83:[81, 58] Operation: 10+48=58
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[81, 58], Operations: ['3*16=48', '10+48=58']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,83 unequal: No Solution
No 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: 83:[48, 91], Operations: ['3*16=48', '81+10=91']
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 48+91=139, Resulting Numbers: [139]
139,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[81, 16, 30], Operations: ['10*3=30']
Exploring Operation: 81+16=97, Resulting Numbers: [30, 97]
Generated Node #0,1,0: 83:[30, 97] Operation: 81+16=97
Exploring Operation: 16+30=46, Resulting Numbers: [81, 46]
Generated Node #0,1,1: 83:[81, 46] Operation: 16+30=46
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[81, 46], Operations: ['10*3=30', '16+30=46']
Exploring Operation: 81+46=127, Resulting Numbers: [127]
127,83 unequal: No Solution
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,83 unequal: No Solution
No 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: 83:[30, 97], Operations: ['10*3=30', '81+16=97']
Exploring Operation: 30+97=127, Resulting Numbers: [127]
127,83 unequal: No Solution
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
67,
38,
70,
21
] | 65 | [
"67+38=105",
"105/21=5",
"70-5=65"
] | Current State: 65:[67, 38, 70, 21], Operations: []
Exploring Operation: 67+38=105, Resulting Numbers: [70, 21, 105]
Generated Node #2: [70, 21, 105] from Operation: 67+38=105
Current State: 65:[70, 21, 105], Operations: ['67+38=105']
Exploring Operation: 105/21=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 105/21=5
Current State: 65:[70, 5], Operations: ['67+38=105', '105/21=5']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[67, 38, 70, 21], Operations: []
Exploring Operation: 67-38=29, Resulting Numbers: [70, 21, 29]
Generated Node #0,0: 65:[70, 21, 29] Operation: 67-38=29
Exploring Operation: 38+21=59, Resulting Numbers: [67, 70, 59]
Generated Node #0,1: 65:[67, 70, 59] Operation: 38+21=59
Exploring Operation: 38-21=17, Resulting Numbers: [67, 70, 17]
Generated Node #0,2: 65:[67, 70, 17] Operation: 38-21=17
Moving to Node #0,2
Current State: 65:[67, 70, 17], Operations: ['38-21=17']
Exploring Operation: 70-67=3, Resulting Numbers: [17, 3]
Generated Node #0,2,0: 65:[17, 3] Operation: 70-67=3
Exploring Operation: 70-17=53, Resulting Numbers: [67, 53]
Generated Node #0,2,1: 65:[67, 53] Operation: 70-17=53
Exploring Operation: 67-17=50, Resulting Numbers: [70, 50]
Generated Node #0,2,2: 65:[70, 50] Operation: 67-17=50
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[17, 3], Operations: ['38-21=17', '70-67=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 65:[67, 53], Operations: ['38-21=17', '70-17=53']
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,65 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 65:[70, 50], Operations: ['38-21=17', '67-17=50']
Exploring Operation: 70-50=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 70*50=3500, Resulting Numbers: [3500]
3500,65 unequal: No Solution
Exploring Operation: 70+50=120, Resulting Numbers: [120]
120,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 65:[67, 70, 59], Operations: ['38+21=59']
Exploring Operation: 70-59=11, Resulting Numbers: [67, 11]
Generated Node #0,1,0: 65:[67, 11] Operation: 70-59=11
Exploring Operation: 67-59=8, Resulting Numbers: [70, 8]
Generated Node #0,1,1: 65:[70, 8] Operation: 67-59=8
Exploring Operation: 70-67=3, Resulting Numbers: [59, 3]
Generated Node #0,1,2: 65:[59, 3] Operation: 70-67=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[67, 11], Operations: ['38+21=59', '70-59=11']
Exploring Operation: 67*11=737, Resulting Numbers: [737]
737,65 unequal: No Solution
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 67+11=78, Resulting Numbers: [78]
78,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[70, 8], Operations: ['38+21=59', '67-59=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,65 unequal: No Solution
Exploring Operation: 70*8=560, Resulting Numbers: [560]
560,65 unequal: No Solution
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[59, 3], Operations: ['38+21=59', '70-67=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,65 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,65 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,65 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: 65:[70, 21, 29], Operations: ['67-38=29']
Exploring Operation: 29-21=8, Resulting Numbers: [70, 8]
Generated Node #0,0,0: 65:[70, 8] Operation: 29-21=8
Exploring Operation: 70-21=49, Resulting Numbers: [29, 49]
Generated Node #0,0,1: 65:[29, 49] Operation: 70-21=49
Exploring Operation: 21+29=50, Resulting Numbers: [70, 50]
Generated Node #0,0,2: 65:[70, 50] Operation: 21+29=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[70, 8], Operations: ['67-38=29', '29-21=8']
Exploring Operation: 70*8=560, Resulting Numbers: [560]
560,65 unequal: No Solution
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,65 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 65:[70, 50], Operations: ['67-38=29', '21+29=50']
Exploring Operation: 70+50=120, Resulting Numbers: [120]
120,65 unequal: No Solution
Exploring Operation: 70*50=3500, Resulting Numbers: [3500]
3500,65 unequal: No Solution
Exploring Operation: 70-50=20, Resulting Numbers: [20]
20,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[29, 49], Operations: ['67-38=29', '70-21=49']
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 29*49=1421, Resulting Numbers: [1421]
1421,65 unequal: No Solution
Exploring Operation: 29+49=78, Resulting Numbers: [78]
78,65 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 |
[
32,
2,
12,
18
] | 60 | [
"32-2=30",
"12+18=30",
"30+30=60"
] | Current State: 60:[32, 2, 12, 18], Operations: []
Exploring Operation: 32-2=30, Resulting Numbers: [12, 18, 30]
Generated Node #2: [12, 18, 30] from Operation: 32-2=30
Current State: 60:[12, 18, 30], Operations: ['32-2=30']
Exploring Operation: 12+18=30, Resulting Numbers: [30, 30]
Generated Node #3: [30, 30] from Operation: 12+18=30
Current State: 60:[30, 30], Operations: ['32-2=30', '12+18=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[32, 2, 12, 18], Operations: []
Exploring Operation: 32-2=30, Resulting Numbers: [12, 18, 30]
Generated Node #0,0: 60:[12, 18, 30] Operation: 32-2=30
Exploring Operation: 2+18=20, Resulting Numbers: [32, 12, 20]
Generated Node #0,1: 60:[32, 12, 20] Operation: 2+18=20
Exploring Operation: 32-18=14, Resulting Numbers: [2, 12, 14]
Generated Node #0,2: 60:[2, 12, 14] Operation: 32-18=14
Exploring Operation: 32-12=20, Resulting Numbers: [2, 18, 20]
Generated Node #0,3: 60:[2, 18, 20] Operation: 32-12=20
Exploring Operation: 12+18=30, Resulting Numbers: [32, 2, 30]
Generated Node #0,4: 60:[32, 2, 30] Operation: 12+18=30
Moving to Node #0,2
Current State: 60:[2, 12, 14], Operations: ['32-18=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2, 2]
Generated Node #0,2,0: 60:[2, 2] Operation: 14-12=2
Exploring Operation: 12-2=10, Resulting Numbers: [14, 10]
Generated Node #0,2,1: 60:[14, 10] Operation: 12-2=10
Exploring Operation: 12/2=6, Resulting Numbers: [14, 6]
Generated Node #0,2,2: 60:[14, 6] Operation: 12/2=6
Exploring Operation: 2+14=16, Resulting Numbers: [12, 16]
Generated Node #0,2,3: 60:[12, 16] Operation: 2+14=16
Exploring Operation: 14-2=12, Resulting Numbers: [12, 12]
Generated Node #0,2,4: 60:[12, 12] Operation: 14-2=12
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 60:[2, 2], Operations: ['32-18=14', '14-12=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 60:[12, 12], Operations: ['32-18=14', '14-2=12']
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,60 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 60:[14, 10], Operations: ['32-18=14', '12-2=10']
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,60 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 60:[14, 6], Operations: ['32-18=14', '12/2=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 60:[12, 16], Operations: ['32-18=14', '2+14=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 60:[32, 12, 20], Operations: ['2+18=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32, 32]
Generated Node #0,1,0: 60:[32, 32] Operation: 12+20=32
Exploring Operation: 32-20=12, Resulting Numbers: [12, 12]
Generated Node #0,1,1: 60:[12, 12] Operation: 32-20=12
Exploring Operation: 32-12=20, Resulting Numbers: [20, 20]
Generated Node #0,1,2: 60:[20, 20] Operation: 32-12=20
Exploring Operation: 32+20=52, Resulting Numbers: [12, 52]
Generated Node #0,1,3: 60:[12, 52] Operation: 32+20=52
Exploring Operation: 20-12=8, Resulting Numbers: [32, 8]
Generated Node #0,1,4: 60:[32, 8] Operation: 20-12=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[12, 12], Operations: ['2+18=20', '32-20=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,60 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 60:[20, 20], Operations: ['2+18=20', '32-12=20']
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,60 unequal: No Solution
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[32, 32], Operations: ['2+18=20', '12+20=32']
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,60 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,60 unequal: No Solution
Exploring Operation: 32*32=1024, Resulting Numbers: [1024]
1024,60 unequal: No Solution
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 60:[32, 8], Operations: ['2+18=20', '20-12=8']
Exploring Operation: 32*8=256, Resulting Numbers: [256]
256,60 unequal: No Solution
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 60:[12, 52], Operations: ['2+18=20', '32+20=52']
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,60 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 12*52=624, Resulting Numbers: [624]
624,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 60:[32, 2, 30], Operations: ['12+18=30']
Exploring Operation: 32-2=30, Resulting Numbers: [30, 30]
Generated Node #0,4,0: 60:[30, 30] Operation: 32-2=30
Exploring Operation: 32+30=62, Resulting Numbers: [2, 62]
Generated Node #0,4,1: 60:[2, 62] Operation: 32+30=62
Exploring Operation: 2*30=60, Resulting Numbers: [32, 60]
Generated Node #0,4,2: 60:[32, 60] Operation: 2*30=60
Exploring Operation: 32/2=16, Resulting Numbers: [30, 16]
Generated Node #0,4,3: 60:[30, 16] Operation: 32/2=16
Exploring Operation: 32-30=2, Resulting Numbers: [2, 2]
Generated Node #0,4,4: 60:[2, 2] Operation: 32-30=2
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 60:[30, 30], Operations: ['12+18=30', '32-2=30']
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 30*30=900, Resulting Numbers: [900]
900,60 unequal: No Solution
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[32, 2, 12, 18], Operations: []
Exploring Operation: 12+18=30, Resulting Numbers: [32, 2, 30]
Generated Node #0,4: 60:[32, 2, 30] Operation: 12+18=30
Moving to Node #0,4
Current State: 60:[32, 2, 30], Operations: ['12+18=30']
Exploring Operation: 32-2=30, Resulting Numbers: [30, 30]
Generated Node #0,4,0: 60:[30, 30] Operation: 32-2=30
Moving to Node #0,4,0
Current State: 60:[30, 30], Operations: ['12+18=30', '32-2=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_5 | sum_heuristic |
[
3,
82,
14,
11
] | 92 | [
"3*82=246",
"14*11=154",
"246-154=92"
] | Current State: 92:[3, 82, 14, 11], Operations: []
Exploring Operation: 3*82=246, Resulting Numbers: [14, 11, 246]
Generated Node #2: [14, 11, 246] from Operation: 3*82=246
Current State: 92:[14, 11, 246], Operations: ['3*82=246']
Exploring Operation: 14*11=154, Resulting Numbers: [246, 154]
Generated Node #3: [246, 154] from Operation: 14*11=154
Current State: 92:[246, 154], Operations: ['3*82=246', '14*11=154']
Exploring Operation: 246-154=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[3, 82, 14, 11], Operations: []
Exploring Operation: 82+14=96, Resulting Numbers: [3, 11, 96]
Generated Node #0,0: 92:[3, 11, 96] Operation: 82+14=96
Exploring Operation: 14+11=25, Resulting Numbers: [3, 82, 25]
Generated Node #0,1: 92:[3, 82, 25] Operation: 14+11=25
Exploring Operation: 14-11=3, Resulting Numbers: [3, 82, 3]
Generated Node #0,2: 92:[3, 82, 3] Operation: 14-11=3
Exploring Operation: 3*14=42, Resulting Numbers: [82, 11, 42]
Generated Node #0,3: 92:[82, 11, 42] Operation: 3*14=42
Exploring Operation: 82+11=93, Resulting Numbers: [3, 14, 93]
Generated Node #0,4: 92:[3, 14, 93] Operation: 82+11=93
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[3, 14, 93], Operations: ['82+11=93']
Exploring Operation: 3*14=42, Resulting Numbers: [93, 42]
Generated Node #0,4,0: 92:[93, 42] Operation: 3*14=42
Exploring Operation: 3+93=96, Resulting Numbers: [14, 96]
Generated Node #0,4,1: 92:[14, 96] Operation: 3+93=96
Exploring Operation: 14-3=11, Resulting Numbers: [93, 11]
Generated Node #0,4,2: 92:[93, 11] Operation: 14-3=11
Exploring Operation: 93-3=90, Resulting Numbers: [14, 90]
Generated Node #0,4,3: 92:[14, 90] Operation: 93-3=90
Exploring Operation: 3+14=17, Resulting Numbers: [93, 17]
Generated Node #0,4,4: 92:[93, 17] Operation: 3+14=17
Moving to Node #0,4,0
Current State: 92:[93, 42], Operations: ['82+11=93', '3*14=42']
Exploring Operation: 93+42=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 93*42=3906, Resulting Numbers: [3906]
3906,92 unequal: No Solution
Exploring Operation: 93-42=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Moving to Node #0,4,4
Current State: 92:[93, 17], Operations: ['82+11=93', '3+14=17']
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,92 unequal: No Solution
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,92 unequal: No Solution
Moving to Node #0,4,2
Current State: 92:[93, 11], Operations: ['82+11=93', '14-3=11']
Exploring Operation: 93*11=1023, Resulting Numbers: [1023]
1023,92 unequal: No Solution
Exploring Operation: 93+11=104, Resulting Numbers: [104]
104,92 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[14, 90], Operations: ['82+11=93', '93-3=90']
Exploring Operation: 14*90=1260, Resulting Numbers: [1260]
1260,92 unequal: No Solution
Exploring Operation: 14+90=104, Resulting Numbers: [104]
104,92 unequal: No Solution
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[14, 96], Operations: ['82+11=93', '3+93=96']
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 14*96=1344, Resulting Numbers: [1344]
1344,92 unequal: No Solution
Exploring Operation: 14+96=110, Resulting Numbers: [110]
110,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[3, 11, 96], Operations: ['82+14=96']
Exploring Operation: 11-3=8, Resulting Numbers: [96, 8]
Generated Node #0,0,0: 92:[96, 8] Operation: 11-3=8
Exploring Operation: 96-11=85, Resulting Numbers: [3, 85]
Generated Node #0,0,1: 92:[3, 85] Operation: 96-11=85
Exploring Operation: 3*11=33, Resulting Numbers: [96, 33]
Generated Node #0,0,2: 92:[96, 33] Operation: 3*11=33
Exploring Operation: 96-3=93, Resulting Numbers: [11, 93]
Generated Node #0,0,3: 92:[11, 93] Operation: 96-3=93
Exploring Operation: 3+11=14, Resulting Numbers: [96, 14]
Generated Node #0,0,4: 92:[96, 14] Operation: 3+11=14
Moving to Node #0,0,0
Current State: 92:[96, 8], Operations: ['82+14=96', '11-3=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 96*8=768, Resulting Numbers: [768]
768,92 unequal: No Solution
Exploring Operation: 96+8=104, Resulting Numbers: [104]
104,92 unequal: No Solution
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[11, 93], Operations: ['82+14=96', '96-3=93']
Exploring Operation: 11+93=104, Resulting Numbers: [104]
104,92 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 11*93=1023, Resulting Numbers: [1023]
1023,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[3, 85], Operations: ['82+14=96', '96-11=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,92 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[96, 14], Operations: ['82+14=96', '3+11=14']
Exploring Operation: 96+14=110, Resulting Numbers: [110]
110,92 unequal: No Solution
Exploring Operation: 96*14=1344, Resulting Numbers: [1344]
1344,92 unequal: No Solution
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[96, 33], Operations: ['82+14=96', '3*11=33']
Exploring Operation: 96+33=129, Resulting Numbers: [129]
129,92 unequal: No Solution
Exploring Operation: 96-33=63, Resulting Numbers: [63]
63,92 unequal: No Solution
Exploring Operation: 96*33=3168, Resulting Numbers: [3168]
3168,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[3, 82, 3], Operations: ['14-11=3']
Exploring Operation: 82+3=85, Resulting Numbers: [3, 85]
Generated Node #0,2,0: 92:[3, 85] Operation: 82+3=85
Exploring Operation: 3/3=1, Resulting Numbers: [82, 1]
Generated Node #0,2,1: 92:[82, 1] Operation: 3/3=1
Exploring Operation: 3+82=85, Resulting Numbers: [3, 85]
Generated Node #0,2,2: 92:[3, 85] Operation: 3+82=85
Exploring Operation: 3+3=6, Resulting Numbers: [82, 6]
Generated Node #0,2,3: 92:[82, 6] Operation: 3+3=6
Exploring Operation: 3-3=0, Resulting Numbers: [82, 0]
Generated Node #0,2,4: 92:[82, 0] Operation: 3-3=0
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[3, 85], Operations: ['14-11=3', '82+3=85']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,92 unequal: No Solution
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,92 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:[3, 85], Operations: ['14-11=3', '3+82=85']
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,92 unequal: No Solution
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,92 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:[82, 1], Operations: ['14-11=3', '3/3=1']
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[82, 6], Operations: ['14-11=3', '3+3=6']
Exploring Operation: 82+6=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Exploring Operation: 82*6=492, Resulting Numbers: [492]
492,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[82, 0], Operations: ['14-11=3', '3-3=0']
Exploring Operation: 82*0=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 82-0=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 82+0=82, Resulting Numbers: [82]
82,92 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:[3, 82, 25], Operations: ['14+11=25']
Exploring Operation: 82-3=79, Resulting Numbers: [25, 79]
Generated Node #0,1,0: 92:[25, 79] Operation: 82-3=79
Exploring Operation: 3+82=85, Resulting Numbers: [25, 85]
Generated Node #0,1,1: 92:[25, 85] Operation: 3+82=85
Exploring Operation: 82-25=57, Resulting Numbers: [3, 57]
Generated Node #0,1,2: 92:[3, 57] Operation: 82-25=57
Exploring Operation: 25-3=22, Resulting Numbers: [82, 22]
Generated Node #0,1,3: 92:[82, 22] Operation: 25-3=22
Exploring Operation: 3+25=28, Resulting Numbers: [82, 28]
Generated Node #0,1,4: 92:[82, 28] Operation: 3+25=28
Moving to Node #0,1,1
Current State: 92:[25, 85], Operations: ['14+11=25', '3+82=85']
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 25*85=2125, Resulting Numbers: [2125]
2125,92 unequal: No Solution
Exploring Operation: 25+85=110, Resulting Numbers: [110]
110,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[82, 22], Operations: ['14+11=25', '25-3=22']
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,92 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[3, 57], Operations: ['14+11=25', '82-25=57']
Exploring Operation: 3*57=171, Resulting Numbers: [171]
171,92 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[25, 79], Operations: ['14+11=25', '82-3=79']
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 25*79=1975, Resulting Numbers: [1975]
1975,92 unequal: No Solution
Exploring Operation: 25+79=104, Resulting Numbers: [104]
104,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[82, 28], Operations: ['14+11=25', '3+25=28']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,92 unequal: No Solution
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[82, 11, 42], Operations: ['3*14=42']
Exploring Operation: 82+11=93, Resulting Numbers: [42, 93]
Generated Node #0,3,0: 92:[42, 93] Operation: 82+11=93
Exploring Operation: 82-11=71, Resulting Numbers: [42, 71]
Generated Node #0,3,1: 92:[42, 71] Operation: 82-11=71
Exploring Operation: 82-42=40, Resulting Numbers: [11, 40]
Generated Node #0,3,2: 92:[11, 40] Operation: 82-42=40
Exploring Operation: 11+42=53, Resulting Numbers: [82, 53]
Generated Node #0,3,3: 92:[82, 53] Operation: 11+42=53
Exploring Operation: 42-11=31, Resulting Numbers: [82, 31]
Generated Node #0,3,4: 92:[82, 31] Operation: 42-11=31
Moving to Node #0,3,0
Current State: 92:[42, 93], Operations: ['3*14=42', '82+11=93']
Exploring Operation: 93-42=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 42*93=3906, Resulting Numbers: [3906]
3906,92 unequal: No Solution
Exploring Operation: 42+93=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[11, 40], Operations: ['3*14=42', '82-42=40']
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[82, 53], Operations: ['3*14=42', '11+42=53']
Exploring Operation: 82*53=4346, Resulting Numbers: [4346]
4346,92 unequal: No Solution
Exploring Operation: 82+53=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[82, 31], Operations: ['3*14=42', '42-11=31']
Exploring Operation: 82*31=2542, Resulting Numbers: [2542]
2542,92 unequal: No Solution
Exploring Operation: 82+31=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[42, 71], Operations: ['3*14=42', '82-11=71']
Exploring Operation: 42*71=2982, Resulting Numbers: [2982]
2982,92 unequal: No Solution
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Exploring Operation: 42+71=113, Resulting Numbers: [113]
113,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
46,
82,
2,
37
] | 47 | [
"46*2=92",
"82-37=45",
"92-45=47"
] | Current State: 47:[46, 82, 2, 37], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [82, 37, 92]
Generated Node #2: [82, 37, 92] from Operation: 46*2=92
Current State: 47:[82, 37, 92], Operations: ['46*2=92']
Exploring Operation: 82-37=45, Resulting Numbers: [92, 45]
Generated Node #3: [92, 45] from Operation: 82-37=45
Current State: 47:[92, 45], Operations: ['46*2=92', '82-37=45']
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[46, 82, 2, 37], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [46, 37, 41]
Generated Node #0,0: 47:[46, 37, 41] Operation: 82/2=41
Exploring Operation: 82-2=80, Resulting Numbers: [46, 37, 80]
Generated Node #0,1: 47:[46, 37, 80] Operation: 82-2=80
Exploring Operation: 2+37=39, Resulting Numbers: [46, 82, 39]
Generated Node #0,2: 47:[46, 82, 39] Operation: 2+37=39
Exploring Operation: 46+2=48, Resulting Numbers: [82, 37, 48]
Generated Node #0,3: 47:[82, 37, 48] Operation: 46+2=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[46, 37, 41], Operations: ['82/2=41']
Exploring Operation: 41-37=4, Resulting Numbers: [46, 4]
Generated Node #0,0,0: 47:[46, 4] Operation: 41-37=4
Exploring Operation: 46-37=9, Resulting Numbers: [41, 9]
Generated Node #0,0,1: 47:[41, 9] Operation: 46-37=9
Exploring Operation: 46+37=83, Resulting Numbers: [41, 83]
Generated Node #0,0,2: 47:[41, 83] Operation: 46+37=83
Exploring Operation: 37+41=78, Resulting Numbers: [46, 78]
Generated Node #0,0,3: 47:[46, 78] Operation: 37+41=78
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 47:[46, 78], Operations: ['82/2=41', '37+41=78']
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 46*78=3588, Resulting Numbers: [3588]
3588,47 unequal: No Solution
Exploring Operation: 46+78=124, Resulting Numbers: [124]
124,47 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 #0,0,2
Current State: 47:[41, 83], Operations: ['82/2=41', '46+37=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 41+83=124, Resulting Numbers: [124]
124,47 unequal: No Solution
Exploring Operation: 41*83=3403, Resulting Numbers: [3403]
3403,47 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 #0,0,0
Current State: 47:[46, 4], Operations: ['82/2=41', '41-37=4']
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,47 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,47 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:[41, 9], Operations: ['82/2=41', '46-37=9']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,47 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: 47:[46, 37, 80], Operations: ['82-2=80']
Exploring Operation: 80-37=43, Resulting Numbers: [46, 43]
Generated Node #0,1,0: 47:[46, 43] Operation: 80-37=43
Exploring Operation: 46+37=83, Resulting Numbers: [80, 83]
Generated Node #0,1,1: 47:[80, 83] Operation: 46+37=83
Exploring Operation: 80-46=34, Resulting Numbers: [37, 34]
Generated Node #0,1,2: 47:[37, 34] Operation: 80-46=34
Exploring Operation: 46-37=9, Resulting Numbers: [80, 9]
Generated Node #0,1,3: 47:[80, 9] Operation: 46-37=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[46, 43], Operations: ['82-2=80', '80-37=43']
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,47 unequal: No Solution
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,47 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 #0,1,2
Current State: 47:[37, 34], Operations: ['82-2=80', '80-46=34']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 37*34=1258, Resulting Numbers: [1258]
1258,47 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 #0,1,1
Current State: 47:[80, 83], Operations: ['82-2=80', '46+37=83']
Exploring Operation: 83-80=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 80*83=6640, Resulting Numbers: [6640]
6640,47 unequal: No Solution
Exploring Operation: 80+83=163, Resulting Numbers: [163]
163,47 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 #0,1,3
Current State: 47:[80, 9], Operations: ['82-2=80', '46-37=9']
Exploring Operation: 80*9=720, Resulting Numbers: [720]
720,47 unequal: No Solution
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,47 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: 47:[46, 82, 39], Operations: ['2+37=39']
Exploring Operation: 82-46=36, Resulting Numbers: [39, 36]
Generated Node #0,2,0: 47:[39, 36] Operation: 82-46=36
Exploring Operation: 46-39=7, Resulting Numbers: [82, 7]
Generated Node #0,2,1: 47:[82, 7] Operation: 46-39=7
Exploring Operation: 46+39=85, Resulting Numbers: [82, 85]
Generated Node #0,2,2: 47:[82, 85] Operation: 46+39=85
Exploring Operation: 82-39=43, Resulting Numbers: [46, 43]
Generated Node #0,2,3: 47:[46, 43] Operation: 82-39=43
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[46, 43], Operations: ['2+37=39', '82-39=43']
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,47 unequal: No Solution
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,47 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 #0,2,0
Current State: 47:[39, 36], Operations: ['2+37=39', '82-46=36']
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,47 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,47 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 #0,2,2
Current State: 47:[82, 85], Operations: ['2+37=39', '46+39=85']
Exploring Operation: 82+85=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 82*85=6970, Resulting Numbers: [6970]
6970,47 unequal: No Solution
Exploring Operation: 85-82=3, Resulting Numbers: [3]
3,47 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 #0,2,1
Current State: 47:[82, 7], Operations: ['2+37=39', '46-39=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 82*7=574, Resulting Numbers: [574]
574,47 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[82, 37, 48], Operations: ['46+2=48']
Exploring Operation: 82+37=119, Resulting Numbers: [48, 119]
Generated Node #0,3,0: 47:[48, 119] Operation: 82+37=119
Exploring Operation: 82-37=45, Resulting Numbers: [48, 45]
Generated Node #0,3,1: 47:[48, 45] Operation: 82-37=45
Exploring Operation: 48-37=11, Resulting Numbers: [82, 11]
Generated Node #0,3,2: 47:[82, 11] Operation: 48-37=11
Exploring Operation: 82-48=34, Resulting Numbers: [37, 34]
Generated Node #0,3,3: 47:[37, 34] Operation: 82-48=34
Moving to Node #0,3,1
Current State: 47:[48, 45], Operations: ['46+2=48', '82-37=45']
Exploring Operation: 48*45=2160, Resulting Numbers: [2160]
2160,47 unequal: No Solution
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[37, 34], Operations: ['46+2=48', '82-48=34']
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 37*34=1258, Resulting Numbers: [1258]
1258,47 unequal: No Solution
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[82, 11], Operations: ['46+2=48', '48-37=11']
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,47 unequal: No Solution
Exploring Operation: 82*11=902, Resulting Numbers: [902]
902,47 unequal: No Solution
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Moving to Node #0,3,0
Current State: 47:[48, 119], Operations: ['46+2=48', '82+37=119']
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,47 unequal: No Solution
Exploring Operation: 48+119=167, Resulting Numbers: [167]
167,47 unequal: No Solution
Exploring Operation: 48*119=5712, Resulting Numbers: [5712]
5712,47 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 |
[
9,
16,
59,
36
] | 49 | [
"9*16=144",
"59+36=95",
"144-95=49"
] | Current State: 49:[9, 16, 59, 36], Operations: []
Exploring Operation: 9*16=144, Resulting Numbers: [59, 36, 144]
Generated Node #2: [59, 36, 144] from Operation: 9*16=144
Current State: 49:[59, 36, 144], Operations: ['9*16=144']
Exploring Operation: 59+36=95, Resulting Numbers: [144, 95]
Generated Node #3: [144, 95] from Operation: 59+36=95
Current State: 49:[144, 95], Operations: ['9*16=144', '59+36=95']
Exploring Operation: 144-95=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[9, 16, 59, 36], Operations: []
Exploring Operation: 59-16=43, Resulting Numbers: [9, 36, 43]
Generated Node #0,0: 49:[9, 36, 43] Operation: 59-16=43
Exploring Operation: 16+36=52, Resulting Numbers: [9, 59, 52]
Generated Node #0,1: 49:[9, 59, 52] Operation: 16+36=52
Exploring Operation: 36/9=4, Resulting Numbers: [16, 59, 4]
Generated Node #0,2: 49:[16, 59, 4] Operation: 36/9=4
Moving to Node #0,1
Current State: 49:[9, 59, 52], Operations: ['16+36=52']
Exploring Operation: 59-52=7, Resulting Numbers: [9, 7]
Generated Node #0,1,0: 49:[9, 7] Operation: 59-52=7
Exploring Operation: 52-9=43, Resulting Numbers: [59, 43]
Generated Node #0,1,1: 49:[59, 43] Operation: 52-9=43
Exploring Operation: 59-9=50, Resulting Numbers: [52, 50]
Generated Node #0,1,2: 49:[52, 50] Operation: 59-9=50
Moving to Node #0,0
Current State: 49:[9, 36, 43], Operations: ['59-16=43']
Exploring Operation: 9+36=45, Resulting Numbers: [43, 45]
Generated Node #0,0,0: 49:[43, 45] Operation: 9+36=45
Exploring Operation: 43-36=7, Resulting Numbers: [9, 7]
Generated Node #0,0,1: 49:[9, 7] Operation: 43-36=7
Exploring Operation: 36/9=4, Resulting Numbers: [43, 4]
Generated Node #0,0,2: 49:[43, 4] Operation: 36/9=4
Moving to Node #0,2
Current State: 49:[16, 59, 4], Operations: ['36/9=4']
Exploring Operation: 16/4=4, Resulting Numbers: [59, 4]
Generated Node #0,2,0: 49:[59, 4] Operation: 16/4=4
Exploring Operation: 16-4=12, Resulting Numbers: [59, 12]
Generated Node #0,2,1: 49:[59, 12] Operation: 16-4=12
Exploring Operation: 59-16=43, Resulting Numbers: [4, 43]
Generated Node #0,2,2: 49:[4, 43] Operation: 59-16=43
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[4, 43], Operations: ['36/9=4', '59-16=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,49 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[59, 4], Operations: ['36/9=4', '16/4=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[59, 12], Operations: ['36/9=4', '16-4=12']
Exploring Operation: 59*12=708, Resulting Numbers: [708]
708,49 unequal: No Solution
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,49 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: 49:[9, 7], Operations: ['16+36=52', '59-52=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[9, 7], Operations: ['59-16=43', '43-36=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[52, 50], Operations: ['16+36=52', '59-9=50']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,49 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[43, 4], Operations: ['59-16=43', '36/9=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[43, 45], Operations: ['59-16=43', '9+36=45']
Exploring Operation: 43*45=1935, Resulting Numbers: [1935]
1935,49 unequal: No Solution
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[59, 43], Operations: ['16+36=52', '52-9=43']
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 59*43=2537, Resulting Numbers: [2537]
2537,49 unequal: No Solution
Exploring Operation: 59+43=102, Resulting Numbers: [102]
102,49 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
81,
73,
9,
91
] | 11 | [
"81-73=8",
"91+8=99",
"99/9=11"
] | Current State: 11:[81, 73, 9, 91], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [9, 91, 8]
Generated Node #2: [9, 91, 8] from Operation: 81-73=8
Current State: 11:[9, 91, 8], Operations: ['81-73=8']
Exploring Operation: 91+8=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 91+8=99
Current State: 11:[9, 99], Operations: ['81-73=8', '91+8=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[81, 73, 9, 91], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [73, 9, 10]
Generated Node #0,0: 11:[73, 9, 10] Operation: 91-81=10
Exploring Operation: 91-73=18, Resulting Numbers: [81, 9, 18]
Generated Node #0,1: 11:[81, 9, 18] Operation: 91-73=18
Exploring Operation: 81-73=8, Resulting Numbers: [9, 91, 8]
Generated Node #0,2: 11:[9, 91, 8] Operation: 81-73=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[73, 9, 10], Operations: ['91-81=10']
Exploring Operation: 73-9=64, Resulting Numbers: [10, 64]
Generated Node #0,0,0: 11:[10, 64] Operation: 73-9=64
Exploring Operation: 73-10=63, Resulting Numbers: [9, 63]
Generated Node #0,0,1: 11:[9, 63] Operation: 73-10=63
Exploring Operation: 9+10=19, Resulting Numbers: [73, 19]
Generated Node #0,0,2: 11:[73, 19] Operation: 9+10=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[10, 64], Operations: ['91-81=10', '73-9=64']
Exploring Operation: 10*64=640, Resulting Numbers: [640]
640,11 unequal: No Solution
Exploring Operation: 10+64=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[9, 63], Operations: ['91-81=10', '73-10=63']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 9+63=72, Resulting Numbers: [72]
72,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 11:[73, 19], Operations: ['91-81=10', '9+10=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[81, 9, 18], Operations: ['91-73=18']
Exploring Operation: 81-9=72, Resulting Numbers: [18, 72]
Generated Node #0,1,0: 11:[18, 72] Operation: 81-9=72
Exploring Operation: 81/9=9, Resulting Numbers: [18, 9]
Generated Node #0,1,1: 11:[18, 9] Operation: 81/9=9
Exploring Operation: 81-18=63, Resulting Numbers: [9, 63]
Generated Node #0,1,2: 11:[9, 63] Operation: 81-18=63
Moving to Node #0,1,1
Current State: 11:[18, 9], Operations: ['91-73=18', '81/9=9']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,11 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[9, 63], Operations: ['91-73=18', '81-18=63']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,11 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 9+63=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[18, 72], Operations: ['91-73=18', '81-9=72']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 18+72=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,11 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 #0,2
Current State: 11:[9, 91, 8], Operations: ['81-73=8']
Exploring Operation: 91-9=82, Resulting Numbers: [8, 82]
Generated Node #0,2,0: 11:[8, 82] Operation: 91-9=82
Exploring Operation: 91-8=83, Resulting Numbers: [9, 83]
Generated Node #0,2,1: 11:[9, 83] Operation: 91-8=83
Exploring Operation: 9+8=17, Resulting Numbers: [91, 17]
Generated Node #0,2,2: 11:[91, 17] Operation: 9+8=17
Moving to Node #0,2,0
Current State: 11:[8, 82], Operations: ['81-73=8', '91-9=82']
Exploring Operation: 8+82=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 8*82=656, Resulting Numbers: [656]
656,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[9, 83], Operations: ['81-73=8', '91-8=83']
Exploring Operation: 9*83=747, Resulting Numbers: [747]
747,11 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 9+83=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[91, 17], Operations: ['81-73=8', '9+8=17']
Exploring Operation: 91*17=1547, Resulting Numbers: [1547]
1547,11 unequal: No Solution
Exploring Operation: 91+17=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,11 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 |
[
7,
11,
14,
42
] | 31 | [
"42/7=6",
"11+14=25",
"6+25=31"
] | Current State: 31:[7, 11, 14, 42], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [11, 14, 6]
Generated Node #2: [11, 14, 6] from Operation: 42/7=6
Current State: 31:[11, 14, 6], Operations: ['42/7=6']
Exploring Operation: 11+14=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 11+14=25
Current State: 31:[6, 25], Operations: ['42/7=6', '11+14=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[7, 11, 14, 42], Operations: []
Exploring Operation: 7+11=18, Resulting Numbers: [14, 42, 18]
Generated Node #0,0: 31:[14, 42, 18] Operation: 7+11=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[14, 42, 18], Operations: ['7+11=18']
Exploring Operation: 14+18=32, Resulting Numbers: [42, 32]
Generated Node #0,0,0: 31:[42, 32] Operation: 14+18=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[42, 32], Operations: ['7+11=18', '14+18=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
57,
75,
35
] | 27 | [
"57-44=13",
"75-35=40",
"40-13=27"
] | Current State: 27:[44, 57, 75, 35], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [75, 35, 13]
Generated Node #2: [75, 35, 13] from Operation: 57-44=13
Current State: 27:[75, 35, 13], Operations: ['57-44=13']
Exploring Operation: 75-35=40, Resulting Numbers: [13, 40]
Generated Node #3: [13, 40] from Operation: 75-35=40
Current State: 27:[13, 40], Operations: ['57-44=13', '75-35=40']
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[44, 57, 75, 35], Operations: []
Exploring Operation: 75-44=31, Resulting Numbers: [57, 35, 31]
Generated Node #0,0: 27:[57, 35, 31] Operation: 75-44=31
Exploring Operation: 75-35=40, Resulting Numbers: [44, 57, 40]
Generated Node #0,1: 27:[44, 57, 40] Operation: 75-35=40
Exploring Operation: 57-44=13, Resulting Numbers: [75, 35, 13]
Generated Node #0,2: 27:[75, 35, 13] Operation: 57-44=13
Exploring Operation: 75-57=18, Resulting Numbers: [44, 35, 18]
Generated Node #0,3: 27:[44, 35, 18] Operation: 75-57=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[44, 35, 18], Operations: ['75-57=18']
Exploring Operation: 44-35=9, Resulting Numbers: [18, 9]
Generated Node #0,3,0: 27:[18, 9] Operation: 44-35=9
Exploring Operation: 44-18=26, Resulting Numbers: [35, 26]
Generated Node #0,3,1: 27:[35, 26] Operation: 44-18=26
Exploring Operation: 44+18=62, Resulting Numbers: [35, 62]
Generated Node #0,3,2: 27:[35, 62] Operation: 44+18=62
Exploring Operation: 35-18=17, Resulting Numbers: [44, 17]
Generated Node #0,3,3: 27:[44, 17] Operation: 35-18=17
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 27:[18, 9], Operations: ['75-57=18', '44-35=9']
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,27 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[44, 57, 75, 35], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [44, 35, 18]
Generated Node #0,3: 27:[44, 35, 18] Operation: 75-57=18
Moving to Node #0,3
Current State: 27:[44, 35, 18], Operations: ['75-57=18']
Exploring Operation: 44-35=9, Resulting Numbers: [18, 9]
Generated Node #0,3,0: 27:[18, 9] Operation: 44-35=9
Moving to Node #0,3,0
Current State: 27:[18, 9], Operations: ['75-57=18', '44-35=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
4,
36,
68,
31
] | 59 | [
"4+36=40",
"68+31=99",
"99-40=59"
] | Current State: 59:[4, 36, 68, 31], Operations: []
Exploring Operation: 4+36=40, Resulting Numbers: [68, 31, 40]
Generated Node #2: [68, 31, 40] from Operation: 4+36=40
Current State: 59:[68, 31, 40], Operations: ['4+36=40']
Exploring Operation: 68+31=99, Resulting Numbers: [40, 99]
Generated Node #3: [40, 99] from Operation: 68+31=99
Current State: 59:[40, 99], Operations: ['4+36=40', '68+31=99']
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[4, 36, 68, 31], Operations: []
Exploring Operation: 4+31=35, Resulting Numbers: [36, 68, 35]
Generated Node #0,0: 59:[36, 68, 35] Operation: 4+31=35
Exploring Operation: 68-4=64, Resulting Numbers: [36, 31, 64]
Generated Node #0,1: 59:[36, 31, 64] Operation: 68-4=64
Exploring Operation: 36-4=32, Resulting Numbers: [68, 31, 32]
Generated Node #0,2: 59:[68, 31, 32] Operation: 36-4=32
Exploring Operation: 4+36=40, Resulting Numbers: [68, 31, 40]
Generated Node #0,3: 59:[68, 31, 40] Operation: 4+36=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[36, 68, 35], Operations: ['4+31=35']
Exploring Operation: 68-36=32, Resulting Numbers: [35, 32]
Generated Node #0,0,0: 59:[35, 32] Operation: 68-36=32
Exploring Operation: 36-35=1, Resulting Numbers: [68, 1]
Generated Node #0,0,1: 59:[68, 1] Operation: 36-35=1
Exploring Operation: 68-35=33, Resulting Numbers: [36, 33]
Generated Node #0,0,2: 59:[36, 33] Operation: 68-35=33
Exploring Operation: 36+35=71, Resulting Numbers: [68, 71]
Generated Node #0,0,3: 59:[68, 71] Operation: 36+35=71
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 59:[68, 71], Operations: ['4+31=35', '36+35=71']
Exploring Operation: 68+71=139, Resulting Numbers: [139]
139,59 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 68*71=4828, Resulting Numbers: [4828]
4828,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 59:[36, 33], Operations: ['4+31=35', '68-35=33']
Exploring Operation: 36*33=1188, Resulting Numbers: [1188]
1188,59 unequal: No Solution
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[35, 32], Operations: ['4+31=35', '68-36=32']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,59 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[68, 1], Operations: ['4+31=35', '36-35=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 68/1=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,59 unequal: No Solution
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[36, 31, 64], Operations: ['68-4=64']
Exploring Operation: 36-31=5, Resulting Numbers: [64, 5]
Generated Node #0,1,0: 59:[64, 5] Operation: 36-31=5
Exploring Operation: 36+31=67, Resulting Numbers: [64, 67]
Generated Node #0,1,1: 59:[64, 67] Operation: 36+31=67
Exploring Operation: 64-36=28, Resulting Numbers: [31, 28]
Generated Node #0,1,2: 59:[31, 28] Operation: 64-36=28
Exploring Operation: 64-31=33, Resulting Numbers: [36, 33]
Generated Node #0,1,3: 59:[36, 33] Operation: 64-31=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[64, 67], Operations: ['68-4=64', '36+31=67']
Exploring Operation: 64*67=4288, Resulting Numbers: [4288]
4288,59 unequal: No Solution
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 64+67=131, Resulting Numbers: [131]
131,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 59:[36, 33], Operations: ['68-4=64', '64-31=33']
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 36*33=1188, Resulting Numbers: [1188]
1188,59 unequal: No Solution
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[64, 5], Operations: ['68-4=64', '36-31=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,59 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[4, 36, 68, 31], Operations: []
Exploring Operation: 68-4=64, Resulting Numbers: [36, 31, 64]
Generated Node #0,1: 59:[36, 31, 64] Operation: 68-4=64
Moving to Node #0,1
Current State: 59:[36, 31, 64], Operations: ['68-4=64']
Exploring Operation: 36-31=5, Resulting Numbers: [64, 5]
Generated Node #0,1,0: 59:[64, 5] Operation: 36-31=5
Moving to Node #0,1,0
Current State: 59:[64, 5], Operations: ['68-4=64', '36-31=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
41,
53,
44,
47
] | 97 | [
"41+53=94",
"47-44=3",
"94+3=97"
] | Current State: 97:[41, 53, 44, 47], Operations: []
Exploring Operation: 41+53=94, Resulting Numbers: [44, 47, 94]
Generated Node #2: [44, 47, 94] from Operation: 41+53=94
Current State: 97:[44, 47, 94], Operations: ['41+53=94']
Exploring Operation: 47-44=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 47-44=3
Current State: 97:[94, 3], Operations: ['41+53=94', '47-44=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[41, 53, 44, 47], Operations: []
Exploring Operation: 41+44=85, Resulting Numbers: [53, 47, 85]
Generated Node #0,0: 97:[53, 47, 85] Operation: 41+44=85
Exploring Operation: 41+53=94, Resulting Numbers: [44, 47, 94]
Generated Node #0,1: 97:[44, 47, 94] Operation: 41+53=94
Exploring Operation: 41+47=88, Resulting Numbers: [53, 44, 88]
Generated Node #0,2: 97:[53, 44, 88] Operation: 41+47=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[53, 47, 85], Operations: ['41+44=85']
Exploring Operation: 53+47=100, Resulting Numbers: [85, 100]
Generated Node #0,0,0: 97:[85, 100] Operation: 53+47=100
Exploring Operation: 53+85=138, Resulting Numbers: [47, 138]
Generated Node #0,0,1: 97:[47, 138] Operation: 53+85=138
Exploring Operation: 47+85=132, Resulting Numbers: [53, 132]
Generated Node #0,0,2: 97:[53, 132] Operation: 47+85=132
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[85, 100], Operations: ['41+44=85', '53+47=100']
Exploring Operation: 85*100=8500, Resulting Numbers: [8500]
8500,97 unequal: No Solution
Exploring Operation: 85+100=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 100-85=15, Resulting Numbers: [15]
15,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[53, 132], Operations: ['41+44=85', '47+85=132']
Exploring Operation: 132-53=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 53*132=6996, Resulting Numbers: [6996]
6996,97 unequal: No Solution
Exploring Operation: 53+132=185, Resulting Numbers: [185]
185,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[47, 138], Operations: ['41+44=85', '53+85=138']
Exploring Operation: 138-47=91, Resulting Numbers: [91]
91,97 unequal: No Solution
Exploring Operation: 47+138=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 47*138=6486, Resulting Numbers: [6486]
6486,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[44, 47, 94], Operations: ['41+53=94']
Exploring Operation: 44+47=91, Resulting Numbers: [94, 91]
Generated Node #0,1,0: 97:[94, 91] Operation: 44+47=91
Exploring Operation: 47-44=3, Resulting Numbers: [94, 3]
Generated Node #0,1,1: 97:[94, 3] Operation: 47-44=3
Exploring Operation: 44+94=138, Resulting Numbers: [47, 138]
Generated Node #0,1,2: 97:[47, 138] Operation: 44+94=138
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[94, 91], Operations: ['41+53=94', '44+47=91']
Exploring Operation: 94*91=8554, Resulting Numbers: [8554]
8554,97 unequal: No Solution
Exploring Operation: 94+91=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 94-91=3, Resulting Numbers: [3]
3,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[47, 138], Operations: ['41+53=94', '44+94=138']
Exploring Operation: 47+138=185, Resulting Numbers: [185]
185,97 unequal: No Solution
Exploring Operation: 138-47=91, Resulting Numbers: [91]
91,97 unequal: No Solution
Exploring Operation: 47*138=6486, Resulting Numbers: [6486]
6486,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[94, 3], Operations: ['41+53=94', '47-44=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[41, 53, 44, 47], Operations: []
Exploring Operation: 41+53=94, Resulting Numbers: [44, 47, 94]
Generated Node #0,1: 97:[44, 47, 94] Operation: 41+53=94
Moving to Node #0,1
Current State: 97:[44, 47, 94], Operations: ['41+53=94']
Exploring Operation: 47-44=3, Resulting Numbers: [94, 3]
Generated Node #0,1,1: 97:[94, 3] Operation: 47-44=3
Moving to Node #0,1,1
Current State: 97:[94, 3], Operations: ['41+53=94', '47-44=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_3 | mult_heuristic |
[
3,
34,
42,
70
] | 94 | [
"42-34=8",
"3*8=24",
"70+24=94"
] | Current State: 94:[3, 34, 42, 70], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [3, 70, 8]
Generated Node #2: [3, 70, 8] from Operation: 42-34=8
Current State: 94:[3, 70, 8], Operations: ['42-34=8']
Exploring Operation: 3*8=24, Resulting Numbers: [70, 24]
Generated Node #3: [70, 24] from Operation: 3*8=24
Current State: 94:[70, 24], Operations: ['42-34=8', '3*8=24']
Exploring Operation: 70+24=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[3, 34, 42, 70], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [3, 42, 36]
Generated Node #0,0: 94:[3, 42, 36] Operation: 70-34=36
Exploring Operation: 34+70=104, Resulting Numbers: [3, 42, 104]
Generated Node #0,1: 94:[3, 42, 104] Operation: 34+70=104
Moving to Node #0,1
Current State: 94:[3, 42, 104], Operations: ['34+70=104']
Exploring Operation: 3+42=45, Resulting Numbers: [104, 45]
Generated Node #0,1,0: 94:[104, 45] Operation: 3+42=45
Exploring Operation: 104-3=101, Resulting Numbers: [42, 101]
Generated Node #0,1,1: 94:[42, 101] Operation: 104-3=101
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[104, 45], Operations: ['34+70=104', '3+42=45']
Exploring Operation: 104-45=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 104+45=149, Resulting Numbers: [149]
149,94 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 #0,1,1
Current State: 94:[42, 101], Operations: ['34+70=104', '104-3=101']
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 42+101=143, Resulting Numbers: [143]
143,94 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: 94:[3, 42, 36], Operations: ['70-34=36']
Exploring Operation: 3+42=45, Resulting Numbers: [36, 45]
Generated Node #0,0,0: 94:[36, 45] Operation: 3+42=45
Exploring Operation: 42-36=6, Resulting Numbers: [3, 6]
Generated Node #0,0,1: 94:[3, 6] Operation: 42-36=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[3, 6], Operations: ['70-34=36', '42-36=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,94 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 #0,0,0
Current State: 94:[36, 45], Operations: ['70-34=36', '3+42=45']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,94 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 |
[
40,
59,
78,
10
] | 87 | [
"59-40=19",
"78-10=68",
"19+68=87"
] | Current State: 87:[40, 59, 78, 10], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [78, 10, 19]
Generated Node #2: [78, 10, 19] from Operation: 59-40=19
Current State: 87:[78, 10, 19], Operations: ['59-40=19']
Exploring Operation: 78-10=68, Resulting Numbers: [19, 68]
Generated Node #3: [19, 68] from Operation: 78-10=68
Current State: 87:[19, 68], Operations: ['59-40=19', '78-10=68']
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[40, 59, 78, 10], Operations: []
Exploring Operation: 78-59=19, Resulting Numbers: [40, 10, 19]
Generated Node #0,0: 87:[40, 10, 19] Operation: 78-59=19
Exploring Operation: 40+59=99, Resulting Numbers: [78, 10, 99]
Generated Node #0,1: 87:[78, 10, 99] Operation: 40+59=99
Exploring Operation: 59-40=19, Resulting Numbers: [78, 10, 19]
Generated Node #0,2: 87:[78, 10, 19] Operation: 59-40=19
Moving to Node #0,2
Current State: 87:[78, 10, 19], Operations: ['59-40=19']
Exploring Operation: 10+19=29, Resulting Numbers: [78, 29]
Generated Node #0,2,0: 87:[78, 29] Operation: 10+19=29
Exploring Operation: 78+10=88, Resulting Numbers: [19, 88]
Generated Node #0,2,1: 87:[19, 88] Operation: 78+10=88
Exploring Operation: 19-10=9, Resulting Numbers: [78, 9]
Generated Node #0,2,2: 87:[78, 9] Operation: 19-10=9
Moving to Node #0,0
Current State: 87:[40, 10, 19], Operations: ['78-59=19']
Exploring Operation: 10+19=29, Resulting Numbers: [40, 29]
Generated Node #0,0,0: 87:[40, 29] Operation: 10+19=29
Exploring Operation: 40-10=30, Resulting Numbers: [19, 30]
Generated Node #0,0,1: 87:[19, 30] Operation: 40-10=30
Exploring Operation: 40/10=4, Resulting Numbers: [19, 4]
Generated Node #0,0,2: 87:[19, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[40, 29], Operations: ['78-59=19', '10+19=29']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 40*29=1160, Resulting Numbers: [1160]
1160,87 unequal: No Solution
Exploring Operation: 40+29=69, Resulting Numbers: [69]
69,87 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:[19, 30], Operations: ['78-59=19', '40-10=30']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,87 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,87 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 #0,0,2
Current State: 87:[19, 4], Operations: ['78-59=19', '40/10=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,87 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: 87:[78, 10, 99], Operations: ['40+59=99']
Exploring Operation: 99-10=89, Resulting Numbers: [78, 89]
Generated Node #0,1,0: 87:[78, 89] Operation: 99-10=89
Exploring Operation: 99-78=21, Resulting Numbers: [10, 21]
Generated Node #0,1,1: 87:[10, 21] Operation: 99-78=21
Exploring Operation: 78+10=88, Resulting Numbers: [99, 88]
Generated Node #0,1,2: 87:[99, 88] Operation: 78+10=88
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[78, 89], Operations: ['40+59=99', '99-10=89']
Exploring Operation: 78*89=6942, Resulting Numbers: [6942]
6942,87 unequal: No Solution
Exploring Operation: 78+89=167, Resulting Numbers: [167]
167,87 unequal: No Solution
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,87 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 #0,1,2
Current State: 87:[99, 88], Operations: ['40+59=99', '78+10=88']
Exploring Operation: 99+88=187, Resulting Numbers: [187]
187,87 unequal: No Solution
Exploring Operation: 99-88=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 99*88=8712, Resulting Numbers: [8712]
8712,87 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 #0,1,1
Current State: 87:[10, 21], Operations: ['40+59=99', '99-78=21']
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,87 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 87:[78, 29], Operations: ['59-40=19', '10+19=29']
Exploring Operation: 78+29=107, Resulting Numbers: [107]
107,87 unequal: No Solution
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 78*29=2262, Resulting Numbers: [2262]
2262,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[19, 88], Operations: ['59-40=19', '78+10=88']
Exploring Operation: 19*88=1672, Resulting Numbers: [1672]
1672,87 unequal: No Solution
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,87 unequal: No Solution
Exploring Operation: 19+88=107, Resulting Numbers: [107]
107,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[78, 9], Operations: ['59-40=19', '19-10=9']
Exploring Operation: 78*9=702, Resulting Numbers: [702]
702,87 unequal: No Solution
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,87 unequal: No Solution
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[40, 59, 78, 10], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [78, 10, 19]
Generated Node #0,2: 87:[78, 10, 19] Operation: 59-40=19
Moving to Node #0,2
Current State: 87:[78, 10, 19], Operations: ['59-40=19']
Exploring Operation: 19-10=9, Resulting Numbers: [78, 9]
Generated Node #0,2,2: 87:[78, 9] Operation: 19-10=9
Moving to Node #0,2,2
Current State: 87:[78, 9], Operations: ['59-40=19', '19-10=9']
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.962674 | hs_3 | sum_heuristic |
[
42,
51,
38,
60
] | 19 | [
"42+60=102",
"51*38=1938",
"1938/102=19"
] | Current State: 19:[42, 51, 38, 60], Operations: []
Exploring Operation: 42+60=102, Resulting Numbers: [51, 38, 102]
Generated Node #2: [51, 38, 102] from Operation: 42+60=102
Current State: 19:[51, 38, 102], Operations: ['42+60=102']
Exploring Operation: 51*38=1938, Resulting Numbers: [102, 1938]
Generated Node #3: [102, 1938] from Operation: 51*38=1938
Current State: 19:[102, 1938], Operations: ['42+60=102', '51*38=1938']
Exploring Operation: 1938/102=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[42, 51, 38, 60], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [51, 38, 18]
Generated Node #0,0: 19:[51, 38, 18] Operation: 60-42=18
Exploring Operation: 60-51=9, Resulting Numbers: [42, 38, 9]
Generated Node #0,1: 19:[42, 38, 9] Operation: 60-51=9
Exploring Operation: 60-38=22, Resulting Numbers: [42, 51, 22]
Generated Node #0,2: 19:[42, 51, 22] Operation: 60-38=22
Exploring Operation: 51-42=9, Resulting Numbers: [38, 60, 9]
Generated Node #0,3: 19:[38, 60, 9] Operation: 51-42=9
Moving to Node #0,0
Current State: 19:[51, 38, 18], Operations: ['60-42=18']
Exploring Operation: 51-38=13, Resulting Numbers: [18, 13]
Generated Node #0,0,0: 19:[18, 13] Operation: 51-38=13
Exploring Operation: 51-18=33, Resulting Numbers: [38, 33]
Generated Node #0,0,1: 19:[38, 33] Operation: 51-18=33
Exploring Operation: 51+18=69, Resulting Numbers: [38, 69]
Generated Node #0,0,2: 19:[38, 69] Operation: 51+18=69
Exploring Operation: 38-18=20, Resulting Numbers: [51, 20]
Generated Node #0,0,3: 19:[51, 20] Operation: 38-18=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[18, 13], Operations: ['60-42=18', '51-38=13']
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 18*13=234, Resulting Numbers: [234]
234,19 unequal: No Solution
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[38, 33], Operations: ['60-42=18', '51-18=33']
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 38*33=1254, Resulting Numbers: [1254]
1254,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 19:[51, 20], Operations: ['60-42=18', '38-18=20']
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,19 unequal: No Solution
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 19:[38, 69], Operations: ['60-42=18', '51+18=69']
Exploring Operation: 38+69=107, Resulting Numbers: [107]
107,19 unequal: No Solution
Exploring Operation: 38*69=2622, Resulting Numbers: [2622]
2622,19 unequal: No Solution
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 19:[42, 38, 9], Operations: ['60-51=9']
Exploring Operation: 38-9=29, Resulting Numbers: [42, 29]
Generated Node #0,1,0: 19:[42, 29] Operation: 38-9=29
Exploring Operation: 42-9=33, Resulting Numbers: [38, 33]
Generated Node #0,1,1: 19:[38, 33] Operation: 42-9=33
Exploring Operation: 42+9=51, Resulting Numbers: [38, 51]
Generated Node #0,1,2: 19:[38, 51] Operation: 42+9=51
Exploring Operation: 42-38=4, Resulting Numbers: [9, 4]
Generated Node #0,1,3: 19:[9, 4] Operation: 42-38=4
Moving to Node #0,2
Current State: 19:[42, 51, 22], Operations: ['60-38=22']
Exploring Operation: 51-42=9, Resulting Numbers: [22, 9]
Generated Node #0,2,0: 19:[22, 9] Operation: 51-42=9
Exploring Operation: 42-22=20, Resulting Numbers: [51, 20]
Generated Node #0,2,1: 19:[51, 20] Operation: 42-22=20
Exploring Operation: 51-22=29, Resulting Numbers: [42, 29]
Generated Node #0,2,2: 19:[42, 29] Operation: 51-22=29
Exploring Operation: 42+51=93, Resulting Numbers: [22, 93]
Generated Node #0,2,3: 19:[22, 93] Operation: 42+51=93
Moving to Node #0,3
Current State: 19:[38, 60, 9], Operations: ['51-42=9']
Exploring Operation: 38+9=47, Resulting Numbers: [60, 47]
Generated Node #0,3,0: 19:[60, 47] Operation: 38+9=47
Exploring Operation: 60-9=51, Resulting Numbers: [38, 51]
Generated Node #0,3,1: 19:[38, 51] Operation: 60-9=51
Exploring Operation: 38-9=29, Resulting Numbers: [60, 29]
Generated Node #0,3,2: 19:[60, 29] Operation: 38-9=29
Exploring Operation: 60-38=22, Resulting Numbers: [9, 22]
Generated Node #0,3,3: 19:[9, 22] Operation: 60-38=22
Moving to Node #0,2,0
Current State: 19:[22, 9], Operations: ['60-38=22', '51-42=9']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[9, 22], Operations: ['51-42=9', '60-38=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,19 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Moving to Node #0,1,3
Current State: 19:[9, 4], Operations: ['60-51=9', '42-38=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[38, 33], Operations: ['60-51=9', '42-9=33']
Exploring Operation: 38*33=1254, Resulting Numbers: [1254]
1254,19 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 38+33=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[42, 29], Operations: ['60-38=22', '51-22=29']
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,19 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[51, 20], Operations: ['60-38=22', '42-22=20']
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,19 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[42, 29], Operations: ['60-51=9', '38-9=29']
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,19 unequal: No Solution
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[60, 29], Operations: ['51-42=9', '38-9=29']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 60*29=1740, Resulting Numbers: [1740]
1740,19 unequal: No Solution
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,19 unequal: No Solution
Moving to Node #0,3,1
Current State: 19:[38, 51], Operations: ['51-42=9', '60-9=51']
Exploring Operation: 38+51=89, Resulting Numbers: [89]
89,19 unequal: No Solution
Exploring Operation: 38*51=1938, Resulting Numbers: [1938]
1938,19 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[38, 51], Operations: ['60-51=9', '42+9=51']
Exploring Operation: 38*51=1938, Resulting Numbers: [1938]
1938,19 unequal: No Solution
Exploring Operation: 38+51=89, Resulting Numbers: [89]
89,19 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[60, 47], Operations: ['51-42=9', '38+9=47']
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,19 unequal: No Solution
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,19 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[22, 93], Operations: ['60-38=22', '42+51=93']
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 22*93=2046, Resulting Numbers: [2046]
2046,19 unequal: No Solution
Exploring Operation: 22+93=115, Resulting Numbers: [115]
115,19 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
67,
69,
37,
46
] | 20 | [
"67-37=30",
"46*30=1380",
"1380/69=20"
] | Current State: 20:[67, 69, 37, 46], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [69, 46, 30]
Generated Node #2: [69, 46, 30] from Operation: 67-37=30
Current State: 20:[69, 46, 30], Operations: ['67-37=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [69, 1380]
Generated Node #3: [69, 1380] from Operation: 46*30=1380
Current State: 20:[69, 1380], Operations: ['67-37=30', '46*30=1380']
Exploring Operation: 1380/69=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[67, 69, 37, 46], Operations: []
Exploring Operation: 67-46=21, Resulting Numbers: [69, 37, 21]
Generated Node #0,0: 20:[69, 37, 21] Operation: 67-46=21
Exploring Operation: 69-67=2, Resulting Numbers: [37, 46, 2]
Generated Node #0,1: 20:[37, 46, 2] Operation: 69-67=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[37, 46, 2], Operations: ['69-67=2']
Exploring Operation: 46/2=23, Resulting Numbers: [37, 23]
Generated Node #0,1,0: 20:[37, 23] Operation: 46/2=23
Exploring Operation: 46-37=9, Resulting Numbers: [2, 9]
Generated Node #0,1,1: 20:[2, 9] Operation: 46-37=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[2, 9], Operations: ['69-67=2', '46-37=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,20 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 #0,1,0
Current State: 20:[37, 23], Operations: ['69-67=2', '46/2=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,20 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 #0,0
Current State: 20:[69, 37, 21], Operations: ['67-46=21']
Exploring Operation: 69-21=48, Resulting Numbers: [37, 48]
Generated Node #0,0,0: 20:[37, 48] Operation: 69-21=48
Exploring Operation: 69-37=32, Resulting Numbers: [21, 32]
Generated Node #0,0,1: 20:[21, 32] Operation: 69-37=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 20:[21, 32], Operations: ['67-46=21', '69-37=32']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,20 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 #0,0,0
Current State: 20:[37, 48], Operations: ['67-46=21', '69-21=48']
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Exploring Operation: 37+48=85, Resulting Numbers: [85]
85,20 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_2 | sum_heuristic |
[
58,
55,
44,
73
] | 39 | [
"58-55=3",
"44+73=117",
"117/3=39"
] | Current State: 39:[58, 55, 44, 73], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [44, 73, 3]
Generated Node #2: [44, 73, 3] from Operation: 58-55=3
Current State: 39:[44, 73, 3], Operations: ['58-55=3']
Exploring Operation: 44+73=117, Resulting Numbers: [3, 117]
Generated Node #3: [3, 117] from Operation: 44+73=117
Current State: 39:[3, 117], Operations: ['58-55=3', '44+73=117']
Exploring Operation: 117/3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[58, 55, 44, 73], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [44, 73, 3]
Generated Node #0,0: 39:[44, 73, 3] Operation: 58-55=3
Exploring Operation: 73-55=18, Resulting Numbers: [58, 44, 18]
Generated Node #0,1: 39:[58, 44, 18] Operation: 73-55=18
Exploring Operation: 73-58=15, Resulting Numbers: [55, 44, 15]
Generated Node #0,2: 39:[55, 44, 15] Operation: 73-58=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[55, 44, 15], Operations: ['73-58=15']
Exploring Operation: 55-44=11, Resulting Numbers: [15, 11]
Generated Node #0,2,0: 39:[15, 11] Operation: 55-44=11
Exploring Operation: 55-15=40, Resulting Numbers: [44, 40]
Generated Node #0,2,1: 39:[44, 40] Operation: 55-15=40
Exploring Operation: 44-15=29, Resulting Numbers: [55, 29]
Generated Node #0,2,2: 39:[55, 29] Operation: 44-15=29
Moving to Node #0,2,0
Current State: 39:[15, 11], Operations: ['73-58=15', '55-44=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,39 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[44, 40], Operations: ['73-58=15', '55-15=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[55, 29], Operations: ['73-58=15', '44-15=29']
Exploring Operation: 55+29=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 55-29=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 55*29=1595, Resulting Numbers: [1595]
1595,39 unequal: No Solution
No 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: 39:[58, 44, 18], Operations: ['73-55=18']
Exploring Operation: 58-18=40, Resulting Numbers: [44, 40]
Generated Node #0,1,0: 39:[44, 40] Operation: 58-18=40
Exploring Operation: 44-18=26, Resulting Numbers: [58, 26]
Generated Node #0,1,1: 39:[58, 26] Operation: 44-18=26
Exploring Operation: 58-44=14, Resulting Numbers: [18, 14]
Generated Node #0,1,2: 39:[18, 14] Operation: 58-44=14
Moving to Node #0,1,0
Current State: 39:[44, 40], Operations: ['73-55=18', '58-18=40']
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[18, 14], Operations: ['73-55=18', '58-44=14']
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,39 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[58, 26], Operations: ['73-55=18', '44-18=26']
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 58*26=1508, Resulting Numbers: [1508]
1508,39 unequal: No Solution
Exploring Operation: 58+26=84, Resulting Numbers: [84]
84,39 unequal: No Solution
No 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: 39:[44, 73, 3], Operations: ['58-55=3']
Exploring Operation: 44-3=41, Resulting Numbers: [73, 41]
Generated Node #0,0,0: 39:[73, 41] Operation: 44-3=41
Exploring Operation: 73-44=29, Resulting Numbers: [3, 29]
Generated Node #0,0,1: 39:[3, 29] Operation: 73-44=29
Exploring Operation: 73-3=70, Resulting Numbers: [44, 70]
Generated Node #0,0,2: 39:[44, 70] Operation: 73-3=70
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[3, 29], Operations: ['58-55=3', '73-44=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,39 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,39 unequal: No Solution
No 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: 39:[73, 41], Operations: ['58-55=3', '44-3=41']
Exploring Operation: 73*41=2993, Resulting Numbers: [2993]
2993,39 unequal: No Solution
Exploring Operation: 73+41=114, Resulting Numbers: [114]
114,39 unequal: No Solution
Exploring Operation: 73-41=32, Resulting Numbers: [32]
32,39 unequal: No Solution
No 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: 39:[44, 70], Operations: ['58-55=3', '73-3=70']
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,39 unequal: No Solution
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,39 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 |
[
33,
49,
37,
50
] | 71 | [
"49-33=16",
"37+50=87",
"87-16=71"
] | Current State: 71:[33, 49, 37, 50], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [37, 50, 16]
Generated Node #2: [37, 50, 16] from Operation: 49-33=16
Current State: 71:[37, 50, 16], Operations: ['49-33=16']
Exploring Operation: 37+50=87, Resulting Numbers: [16, 87]
Generated Node #3: [16, 87] from Operation: 37+50=87
Current State: 71:[16, 87], Operations: ['49-33=16', '37+50=87']
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[33, 49, 37, 50], Operations: []
Exploring Operation: 33+37=70, Resulting Numbers: [49, 50, 70]
Generated Node #0,0: 71:[49, 50, 70] Operation: 33+37=70
Exploring Operation: 33+49=82, Resulting Numbers: [37, 50, 82]
Generated Node #0,1: 71:[37, 50, 82] Operation: 33+49=82
Exploring Operation: 33+50=83, Resulting Numbers: [49, 37, 83]
Generated Node #0,2: 71:[49, 37, 83] Operation: 33+50=83
Exploring Operation: 49+37=86, Resulting Numbers: [33, 50, 86]
Generated Node #0,3: 71:[33, 50, 86] Operation: 49+37=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[49, 50, 70], Operations: ['33+37=70']
Exploring Operation: 70-49=21, Resulting Numbers: [50, 21]
Generated Node #0,0,0: 71:[50, 21] Operation: 70-49=21
Exploring Operation: 49+50=99, Resulting Numbers: [70, 99]
Generated Node #0,0,1: 71:[70, 99] Operation: 49+50=99
Exploring Operation: 50-49=1, Resulting Numbers: [70, 1]
Generated Node #0,0,2: 71:[70, 1] Operation: 50-49=1
Exploring Operation: 49+70=119, Resulting Numbers: [50, 119]
Generated Node #0,0,3: 71:[50, 119] Operation: 49+70=119
Moving to Node #0,0,1
Current State: 71:[70, 99], Operations: ['33+37=70', '49+50=99']
Exploring Operation: 70*99=6930, Resulting Numbers: [6930]
6930,71 unequal: No Solution
Exploring Operation: 70+99=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Exploring Operation: 99-70=29, Resulting Numbers: [29]
29,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[50, 119], Operations: ['33+37=70', '49+70=119']
Exploring Operation: 50+119=169, Resulting Numbers: [169]
169,71 unequal: No Solution
Exploring Operation: 50*119=5950, Resulting Numbers: [5950]
5950,71 unequal: No Solution
Exploring Operation: 119-50=69, Resulting Numbers: [69]
69,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[70, 1], Operations: ['33+37=70', '50-49=1']
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[33, 49, 37, 50], Operations: []
Exploring Operation: 33+37=70, Resulting Numbers: [49, 50, 70]
Generated Node #0,0: 71:[49, 50, 70] Operation: 33+37=70
Moving to Node #0,0
Current State: 71:[49, 50, 70], Operations: ['33+37=70']
Exploring Operation: 50-49=1, Resulting Numbers: [70, 1]
Generated Node #0,0,2: 71:[70, 1] Operation: 50-49=1
Moving to Node #0,0,2
Current State: 71:[70, 1], Operations: ['33+37=70', '50-49=1']
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
60,
93,
44,
76
] | 57 | [
"93-60=33",
"76*33=2508",
"2508/44=57"
] | Current State: 57:[60, 93, 44, 76], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [44, 76, 33]
Generated Node #2: [44, 76, 33] from Operation: 93-60=33
Current State: 57:[44, 76, 33], Operations: ['93-60=33']
Exploring Operation: 76*33=2508, Resulting Numbers: [44, 2508]
Generated Node #3: [44, 2508] from Operation: 76*33=2508
Current State: 57:[44, 2508], Operations: ['93-60=33', '76*33=2508']
Exploring Operation: 2508/44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[60, 93, 44, 76], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [60, 76, 49]
Generated Node #0,0: 57:[60, 76, 49] Operation: 93-44=49
Exploring Operation: 93-76=17, Resulting Numbers: [60, 44, 17]
Generated Node #0,1: 57:[60, 44, 17] Operation: 93-76=17
Moving to Node #0,1
Current State: 57:[60, 44, 17], Operations: ['93-76=17']
Exploring Operation: 44+17=61, Resulting Numbers: [60, 61]
Generated Node #0,1,0: 57:[60, 61] Operation: 44+17=61
Exploring Operation: 60-44=16, Resulting Numbers: [17, 16]
Generated Node #0,1,1: 57:[17, 16] Operation: 60-44=16
Moving to Node #0,0
Current State: 57:[60, 76, 49], Operations: ['93-44=49']
Exploring Operation: 76-60=16, Resulting Numbers: [49, 16]
Generated Node #0,0,0: 57:[49, 16] Operation: 76-60=16
Exploring Operation: 76-49=27, Resulting Numbers: [60, 27]
Generated Node #0,0,1: 57:[60, 27] Operation: 76-49=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[49, 16], Operations: ['93-44=49', '76-60=16']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,57 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 #0,0,1
Current State: 57:[60, 27], Operations: ['93-44=49', '76-49=27']
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,57 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: 57:[17, 16], Operations: ['93-76=17', '60-44=16']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[60, 61], Operations: ['93-76=17', '44+17=61']
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,57 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
85,
9,
62,
93
] | 61 | [
"85+9=94",
"62+93=155",
"155-94=61"
] | Current State: 61:[85, 9, 62, 93], Operations: []
Exploring Operation: 85+9=94, Resulting Numbers: [62, 93, 94]
Generated Node #2: [62, 93, 94] from Operation: 85+9=94
Current State: 61:[62, 93, 94], Operations: ['85+9=94']
Exploring Operation: 62+93=155, Resulting Numbers: [94, 155]
Generated Node #3: [94, 155] from Operation: 62+93=155
Current State: 61:[94, 155], Operations: ['85+9=94', '62+93=155']
Exploring Operation: 155-94=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[85, 9, 62, 93], Operations: []
Exploring Operation: 62-9=53, Resulting Numbers: [85, 93, 53]
Generated Node #0,0: 61:[85, 93, 53] Operation: 62-9=53
Exploring Operation: 85-9=76, Resulting Numbers: [62, 93, 76]
Generated Node #0,1: 61:[62, 93, 76] Operation: 85-9=76
Exploring Operation: 93-9=84, Resulting Numbers: [85, 62, 84]
Generated Node #0,2: 61:[85, 62, 84] Operation: 93-9=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[62, 93, 76], Operations: ['85-9=76']
Exploring Operation: 93-62=31, Resulting Numbers: [76, 31]
Generated Node #0,1,0: 61:[76, 31] Operation: 93-62=31
Exploring Operation: 93-76=17, Resulting Numbers: [62, 17]
Generated Node #0,1,1: 61:[62, 17] Operation: 93-76=17
Exploring Operation: 76-62=14, Resulting Numbers: [93, 14]
Generated Node #0,1,2: 61:[93, 14] Operation: 76-62=14
Moving to Node #0,1,0
Current State: 61:[76, 31], Operations: ['85-9=76', '93-62=31']
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,61 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[62, 17], Operations: ['85-9=76', '93-76=17']
Exploring Operation: 62+17=79, Resulting Numbers: [79]
79,61 unequal: No Solution
Exploring Operation: 62*17=1054, Resulting Numbers: [1054]
1054,61 unequal: No Solution
Exploring Operation: 62-17=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[93, 14], Operations: ['85-9=76', '76-62=14']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,61 unequal: No Solution
Exploring Operation: 93*14=1302, Resulting Numbers: [1302]
1302,61 unequal: No Solution
Exploring Operation: 93+14=107, Resulting Numbers: [107]
107,61 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:[85, 62, 84], Operations: ['93-9=84']
Exploring Operation: 84-62=22, Resulting Numbers: [85, 22]
Generated Node #0,2,0: 61:[85, 22] Operation: 84-62=22
Exploring Operation: 85-84=1, Resulting Numbers: [62, 1]
Generated Node #0,2,1: 61:[62, 1] Operation: 85-84=1
Exploring Operation: 85-62=23, Resulting Numbers: [84, 23]
Generated Node #0,2,2: 61:[84, 23] Operation: 85-62=23
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[62, 1], Operations: ['93-9=84', '85-84=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[85, 9, 62, 93], Operations: []
Exploring Operation: 93-9=84, Resulting Numbers: [85, 62, 84]
Generated Node #0,2: 61:[85, 62, 84] Operation: 93-9=84
Moving to Node #0,2
Current State: 61:[85, 62, 84], Operations: ['93-9=84']
Exploring Operation: 85-84=1, Resulting Numbers: [62, 1]
Generated Node #0,2,1: 61:[62, 1] Operation: 85-84=1
Moving to Node #0,2,1
Current State: 61:[62, 1], Operations: ['93-9=84', '85-84=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
95,
62,
98,
64
] | 49 | [
"95-64=31",
"62/31=2",
"98/2=49"
] | Current State: 49:[95, 62, 98, 64], Operations: []
Exploring Operation: 95-64=31, Resulting Numbers: [62, 98, 31]
Generated Node #2: [62, 98, 31] from Operation: 95-64=31
Current State: 49:[62, 98, 31], Operations: ['95-64=31']
Exploring Operation: 62/31=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 62/31=2
Current State: 49:[98, 2], Operations: ['95-64=31', '62/31=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[95, 62, 98, 64], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [62, 64, 3]
Generated Node #0,0: 49:[62, 64, 3] Operation: 98-95=3
Moving to Node #0,0
Current State: 49:[62, 64, 3], Operations: ['98-95=3']
Exploring Operation: 64-62=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 49:[3, 2] Operation: 64-62=2
Moving to Node #0,0,0
Current State: 49:[3, 2], Operations: ['98-95=3', '64-62=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,49 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
45,
14,
69
] | 42 | [
"45-4=41",
"14+69=83",
"83-41=42"
] | Current State: 42:[4, 45, 14, 69], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [14, 69, 41]
Generated Node #2: [14, 69, 41] from Operation: 45-4=41
Current State: 42:[14, 69, 41], Operations: ['45-4=41']
Exploring Operation: 14+69=83, Resulting Numbers: [41, 83]
Generated Node #3: [41, 83] from Operation: 14+69=83
Current State: 42:[41, 83], Operations: ['45-4=41', '14+69=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[4, 45, 14, 69], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [4, 14, 24]
Generated Node #0,0: 42:[4, 14, 24] Operation: 69-45=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[4, 14, 24], Operations: ['69-45=24']
Exploring Operation: 24/4=6, Resulting Numbers: [14, 6]
Generated Node #0,0,0: 42:[14, 6] Operation: 24/4=6
Moving to Node #0,0,0
Current State: 42:[14, 6], Operations: ['69-45=24', '24/4=6']
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,42 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 |
[
81,
37,
46,
72
] | 73 | [
"46-37=9",
"72/9=8",
"81-8=73"
] | Current State: 73:[81, 37, 46, 72], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [81, 72, 9]
Generated Node #2: [81, 72, 9] from Operation: 46-37=9
Current State: 73:[81, 72, 9], Operations: ['46-37=9']
Exploring Operation: 72/9=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 72/9=8
Current State: 73:[81, 8], Operations: ['46-37=9', '72/9=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[81, 37, 46, 72], Operations: []
Exploring Operation: 37+72=109, Resulting Numbers: [81, 46, 109]
Generated Node #0,0: 73:[81, 46, 109] Operation: 37+72=109
Exploring Operation: 37+46=83, Resulting Numbers: [81, 72, 83]
Generated Node #0,1: 73:[81, 72, 83] Operation: 37+46=83
Exploring Operation: 81-37=44, Resulting Numbers: [46, 72, 44]
Generated Node #0,2: 73:[46, 72, 44] Operation: 81-37=44
Moving to Node #0,1
Current State: 73:[81, 72, 83], Operations: ['37+46=83']
Exploring Operation: 83-72=11, Resulting Numbers: [81, 11]
Generated Node #0,1,0: 73:[81, 11] Operation: 83-72=11
Exploring Operation: 83-81=2, Resulting Numbers: [72, 2]
Generated Node #0,1,1: 73:[72, 2] Operation: 83-81=2
Exploring Operation: 81-72=9, Resulting Numbers: [83, 9]
Generated Node #0,1,2: 73:[83, 9] Operation: 81-72=9
Moving to Node #0,2
Current State: 73:[46, 72, 44], Operations: ['81-37=44']
Exploring Operation: 46-44=2, Resulting Numbers: [72, 2]
Generated Node #0,2,0: 73:[72, 2] Operation: 46-44=2
Exploring Operation: 72+44=116, Resulting Numbers: [46, 116]
Generated Node #0,2,1: 73:[46, 116] Operation: 72+44=116
Exploring Operation: 46+44=90, Resulting Numbers: [72, 90]
Generated Node #0,2,2: 73:[72, 90] Operation: 46+44=90
Moving to Node #0,0
Current State: 73:[81, 46, 109], Operations: ['37+72=109']
Exploring Operation: 109-46=63, Resulting Numbers: [81, 63]
Generated Node #0,0,0: 73:[81, 63] Operation: 109-46=63
Exploring Operation: 109-81=28, Resulting Numbers: [46, 28]
Generated Node #0,0,1: 73:[46, 28] Operation: 109-81=28
Exploring Operation: 81-46=35, Resulting Numbers: [109, 35]
Generated Node #0,0,2: 73:[109, 35] Operation: 81-46=35
Moving to Node #0,2,2
Current State: 73:[72, 90], Operations: ['81-37=44', '46+44=90']
Exploring Operation: 72+90=162, Resulting Numbers: [162]
162,73 unequal: No Solution
Exploring Operation: 72*90=6480, Resulting Numbers: [6480]
6480,73 unequal: No Solution
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[81, 63], Operations: ['37+72=109', '109-46=63']
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,73 unequal: No Solution
Exploring Operation: 81*63=5103, Resulting Numbers: [5103]
5103,73 unequal: No Solution
Exploring Operation: 81+63=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[81, 11], Operations: ['37+46=83', '83-72=11']
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 81+11=92, Resulting Numbers: [92]
92,73 unequal: No Solution
Exploring Operation: 81*11=891, Resulting Numbers: [891]
891,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[46, 116], Operations: ['81-37=44', '72+44=116']
Exploring Operation: 116-46=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 46*116=5336, Resulting Numbers: [5336]
5336,73 unequal: No Solution
Exploring Operation: 46+116=162, Resulting Numbers: [162]
162,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[72, 2], Operations: ['81-37=44', '46-44=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[46, 28], Operations: ['37+72=109', '109-81=28']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,73 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 46*28=1288, Resulting Numbers: [1288]
1288,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[72, 2], Operations: ['37+46=83', '83-81=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[109, 35], Operations: ['37+72=109', '81-46=35']
Exploring Operation: 109+35=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 109*35=3815, Resulting Numbers: [3815]
3815,73 unequal: No Solution
Exploring Operation: 109-35=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[83, 9], Operations: ['37+46=83', '81-72=9']
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,73 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,73 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
89,
67,
2,
52
] | 59 | [
"89*2=178",
"67+52=119",
"178-119=59"
] | Current State: 59:[89, 67, 2, 52], Operations: []
Exploring Operation: 89*2=178, Resulting Numbers: [67, 52, 178]
Generated Node #2: [67, 52, 178] from Operation: 89*2=178
Current State: 59:[67, 52, 178], Operations: ['89*2=178']
Exploring Operation: 67+52=119, Resulting Numbers: [178, 119]
Generated Node #3: [178, 119] from Operation: 67+52=119
Current State: 59:[178, 119], Operations: ['89*2=178', '67+52=119']
Exploring Operation: 178-119=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[89, 67, 2, 52], Operations: []
Exploring Operation: 89-2=87, Resulting Numbers: [67, 52, 87]
Generated Node #0,0: 59:[67, 52, 87] Operation: 89-2=87
Exploring Operation: 2+52=54, Resulting Numbers: [89, 67, 54]
Generated Node #0,1: 59:[89, 67, 54] Operation: 2+52=54
Exploring Operation: 67-2=65, Resulting Numbers: [89, 52, 65]
Generated Node #0,2: 59:[89, 52, 65] Operation: 67-2=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[67, 52, 87], Operations: ['89-2=87']
Exploring Operation: 87-52=35, Resulting Numbers: [67, 35]
Generated Node #0,0,0: 59:[67, 35] Operation: 87-52=35
Exploring Operation: 87-67=20, Resulting Numbers: [52, 20]
Generated Node #0,0,1: 59:[52, 20] Operation: 87-67=20
Exploring Operation: 67-52=15, Resulting Numbers: [87, 15]
Generated Node #0,0,2: 59:[87, 15] Operation: 67-52=15
Moving to Node #0,0,0
Current State: 59:[67, 35], Operations: ['89-2=87', '87-52=35']
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,59 unequal: No Solution
Exploring Operation: 67*35=2345, Resulting Numbers: [2345]
2345,59 unequal: No Solution
Exploring Operation: 67+35=102, Resulting Numbers: [102]
102,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[52, 20], Operations: ['89-2=87', '87-67=20']
Exploring Operation: 52*20=1040, Resulting Numbers: [1040]
1040,59 unequal: No Solution
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,59 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[87, 15], Operations: ['89-2=87', '67-52=15']
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Exploring Operation: 87+15=102, Resulting Numbers: [102]
102,59 unequal: No Solution
Exploring Operation: 87*15=1305, Resulting Numbers: [1305]
1305,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[89, 67, 54], Operations: ['2+52=54']
Exploring Operation: 67-54=13, Resulting Numbers: [89, 13]
Generated Node #0,1,0: 59:[89, 13] Operation: 67-54=13
Exploring Operation: 89-54=35, Resulting Numbers: [67, 35]
Generated Node #0,1,1: 59:[67, 35] Operation: 89-54=35
Exploring Operation: 89-67=22, Resulting Numbers: [54, 22]
Generated Node #0,1,2: 59:[54, 22] Operation: 89-67=22
Moving to Node #0,1,1
Current State: 59:[67, 35], Operations: ['2+52=54', '89-54=35']
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,59 unequal: No Solution
Exploring Operation: 67+35=102, Resulting Numbers: [102]
102,59 unequal: No Solution
Exploring Operation: 67*35=2345, Resulting Numbers: [2345]
2345,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[54, 22], Operations: ['2+52=54', '89-67=22']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,59 unequal: No Solution
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,59 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[89, 13], Operations: ['2+52=54', '67-54=13']
Exploring Operation: 89*13=1157, Resulting Numbers: [1157]
1157,59 unequal: No Solution
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,59 unequal: No Solution
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[89, 52, 65], Operations: ['67-2=65']
Exploring Operation: 65-52=13, Resulting Numbers: [89, 13]
Generated Node #0,2,0: 59:[89, 13] Operation: 65-52=13
Exploring Operation: 89-52=37, Resulting Numbers: [65, 37]
Generated Node #0,2,1: 59:[65, 37] Operation: 89-52=37
Exploring Operation: 89-65=24, Resulting Numbers: [52, 24]
Generated Node #0,2,2: 59:[52, 24] Operation: 89-65=24
Moving to Node #0,2,1
Current State: 59:[65, 37], Operations: ['67-2=65', '89-52=37']
Exploring Operation: 65+37=102, Resulting Numbers: [102]
102,59 unequal: No Solution
Exploring Operation: 65-37=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 65*37=2405, Resulting Numbers: [2405]
2405,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[52, 24], Operations: ['67-2=65', '89-65=24']
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,59 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[89, 13], Operations: ['67-2=65', '65-52=13']
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,59 unequal: No Solution
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,59 unequal: No Solution
Exploring Operation: 89*13=1157, Resulting Numbers: [1157]
1157,59 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 |
[
18,
6,
61,
12
] | 59 | [
"18+6=24",
"24/12=2",
"61-2=59"
] | Current State: 59:[18, 6, 61, 12], Operations: []
Exploring Operation: 18+6=24, Resulting Numbers: [61, 12, 24]
Generated Node #2: [61, 12, 24] from Operation: 18+6=24
Current State: 59:[61, 12, 24], Operations: ['18+6=24']
Exploring Operation: 24/12=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 24/12=2
Current State: 59:[61, 2], Operations: ['18+6=24', '24/12=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[18, 6, 61, 12], Operations: []
Exploring Operation: 6*12=72, Resulting Numbers: [18, 61, 72]
Generated Node #0,0: 59:[18, 61, 72] Operation: 6*12=72
Exploring Operation: 18+6=24, Resulting Numbers: [61, 12, 24]
Generated Node #0,1: 59:[61, 12, 24] Operation: 18+6=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[18, 61, 72], Operations: ['6*12=72']
Exploring Operation: 72-18=54, Resulting Numbers: [61, 54]
Generated Node #0,0,0: 59:[61, 54] Operation: 72-18=54
Exploring Operation: 61-18=43, Resulting Numbers: [72, 43]
Generated Node #0,0,1: 59:[72, 43] Operation: 61-18=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[61, 54], Operations: ['6*12=72', '72-18=54']
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 61+54=115, Resulting Numbers: [115]
115,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[72, 43], Operations: ['6*12=72', '61-18=43']
Exploring Operation: 72+43=115, Resulting Numbers: [115]
115,59 unequal: No Solution
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[61, 12, 24], Operations: ['18+6=24']
Exploring Operation: 61-12=49, Resulting Numbers: [24, 49]
Generated Node #0,1,0: 59:[24, 49] Operation: 61-12=49
Exploring Operation: 12+24=36, Resulting Numbers: [61, 36]
Generated Node #0,1,1: 59:[61, 36] Operation: 12+24=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[61, 36], Operations: ['18+6=24', '12+24=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,59 unequal: No Solution
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[24, 49], Operations: ['18+6=24', '61-12=49']
Exploring Operation: 24+49=73, Resulting Numbers: [73]
73,59 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
66,
99,
38
] | 91 | [
"99*38=3762",
"3762/66=57",
"34+57=91"
] | Current State: 91:[34, 66, 99, 38], Operations: []
Exploring Operation: 99*38=3762, Resulting Numbers: [34, 66, 3762]
Generated Node #2: [34, 66, 3762] from Operation: 99*38=3762
Current State: 91:[34, 66, 3762], Operations: ['99*38=3762']
Exploring Operation: 3762/66=57, Resulting Numbers: [34, 57]
Generated Node #3: [34, 57] from Operation: 3762/66=57
Current State: 91:[34, 57], Operations: ['99*38=3762', '3762/66=57']
Exploring Operation: 34+57=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[34, 66, 99, 38], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [66, 99, 4]
Generated Node #0,0: 91:[66, 99, 4] Operation: 38-34=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[66, 99, 4], Operations: ['38-34=4']
Exploring Operation: 99-66=33, Resulting Numbers: [4, 33]
Generated Node #0,0,0: 91:[4, 33] Operation: 99-66=33
Moving to Node #0,0,0
Current State: 91:[4, 33], Operations: ['38-34=4', '99-66=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,91 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 |
[
18,
23,
6,
53
] | 64 | [
"23-18=5",
"6+53=59",
"5+59=64"
] | Current State: 64:[18, 23, 6, 53], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [6, 53, 5]
Generated Node #2: [6, 53, 5] from Operation: 23-18=5
Current State: 64:[6, 53, 5], Operations: ['23-18=5']
Exploring Operation: 6+53=59, Resulting Numbers: [5, 59]
Generated Node #3: [5, 59] from Operation: 6+53=59
Current State: 64:[5, 59], Operations: ['23-18=5', '6+53=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[18, 23, 6, 53], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [6, 53, 5]
Generated Node #0,0: 64:[6, 53, 5] Operation: 23-18=5
Exploring Operation: 53-23=30, Resulting Numbers: [18, 6, 30]
Generated Node #0,1: 64:[18, 6, 30] Operation: 53-23=30
Exploring Operation: 53-18=35, Resulting Numbers: [23, 6, 35]
Generated Node #0,2: 64:[23, 6, 35] Operation: 53-18=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[18, 6, 30], Operations: ['53-23=30']
Exploring Operation: 18/6=3, Resulting Numbers: [30, 3]
Generated Node #0,1,0: 64:[30, 3] Operation: 18/6=3
Exploring Operation: 18-6=12, Resulting Numbers: [30, 12]
Generated Node #0,1,1: 64:[30, 12] Operation: 18-6=12
Exploring Operation: 30/6=5, Resulting Numbers: [18, 5]
Generated Node #0,1,2: 64:[18, 5] Operation: 30/6=5
Moving to Node #0,1,0
Current State: 64:[30, 3], Operations: ['53-23=30', '18/6=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[18, 5], Operations: ['53-23=30', '30/6=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,64 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[30, 12], Operations: ['53-23=30', '18-6=12']
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,64 unequal: No Solution
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,64 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,64 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 #0,2
Current State: 64:[23, 6, 35], Operations: ['53-18=35']
Exploring Operation: 23+6=29, Resulting Numbers: [35, 29]
Generated Node #0,2,0: 64:[35, 29] Operation: 23+6=29
Exploring Operation: 35-23=12, Resulting Numbers: [6, 12]
Generated Node #0,2,1: 64:[6, 12] Operation: 35-23=12
Exploring Operation: 23-6=17, Resulting Numbers: [35, 17]
Generated Node #0,2,2: 64:[35, 17] Operation: 23-6=17
Moving to Node #0,2,2
Current State: 64:[35, 17], Operations: ['53-18=35', '23-6=17']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 35*17=595, Resulting Numbers: [595]
595,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[35, 29], Operations: ['53-18=35', '23+6=29']
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[18, 23, 6, 53], Operations: []
Exploring Operation: 53-18=35, Resulting Numbers: [23, 6, 35]
Generated Node #0,2: 64:[23, 6, 35] Operation: 53-18=35
Moving to Node #0,2
Current State: 64:[23, 6, 35], Operations: ['53-18=35']
Exploring Operation: 23+6=29, Resulting Numbers: [35, 29]
Generated Node #0,2,0: 64:[35, 29] Operation: 23+6=29
Moving to Node #0,2,0
Current State: 64:[35, 29], Operations: ['53-18=35', '23+6=29']
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
89,
39,
34,
34
] | 50 | [
"89-39=50",
"34-34=0",
"50+0=50"
] | Current State: 50:[89, 39, 34, 34], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [34, 34, 50]
Generated Node #2: [34, 34, 50] from Operation: 89-39=50
Current State: 50:[34, 34, 50], Operations: ['89-39=50']
Exploring Operation: 34-34=0, Resulting Numbers: [50, 0]
Generated Node #3: [50, 0] from Operation: 34-34=0
Current State: 50:[50, 0], Operations: ['89-39=50', '34-34=0']
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[89, 39, 34, 34], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [34, 34, 50]
Generated Node #0,0: 50:[34, 34, 50] Operation: 89-39=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[34, 34, 50], Operations: ['89-39=50']
Exploring Operation: 34/34=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 50:[50, 1] Operation: 34/34=1
Moving to Node #0,0,0
Current State: 50:[50, 1], Operations: ['89-39=50', '34/34=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[89, 39, 34, 34], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [34, 34, 50]
Generated Node #0,0: 50:[34, 34, 50] Operation: 89-39=50
Moving to Node #0,0
Current State: 50:[34, 34, 50], Operations: ['89-39=50']
Exploring Operation: 34/34=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 50:[50, 1] Operation: 34/34=1
Moving to Node #0,0,0
Current State: 50:[50, 1], Operations: ['89-39=50', '34/34=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.