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 |
|---|---|---|---|---|---|---|---|---|
[
13,
74,
81,
11
] | 89 |
[
"13*81=1053",
"1053-74=979",
"979/11=89"
] |
Current State: 89:[13, 74, 81, 11], Operations: []
Exploring Operation: 13*81=1053, Resulting Numbers: [74, 11, 1053]
Generated Node #2: [74, 11, 1053] from Operation: 13*81=1053
Current State: 89:[74, 11, 1053], Operations: ['13*81=1053']
Exploring Operation: 1053-74=979, Resulting Numbers: [11, 979]
Generated Node #3: [11, 979] from Operation: 1053-74=979
Current State: 89:[11, 979], Operations: ['13*81=1053', '1053-74=979']
Exploring Operation: 979/11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[13, 74, 81, 11], Operations: []
Exploring Operation: 13+11=24, Resulting Numbers: [74, 81, 24]
Generated Node #0,0: 89:[74, 81, 24] Operation: 13+11=24
Exploring Operation: 13+74=87, Resulting Numbers: [81, 11, 87]
Generated Node #0,1: 89:[81, 11, 87] Operation: 13+74=87
Exploring Operation: 74+11=85, Resulting Numbers: [13, 81, 85]
Generated Node #0,2: 89:[13, 81, 85] Operation: 74+11=85
Exploring Operation: 13*11=143, Resulting Numbers: [74, 81, 143]
Generated Node #0,3: 89:[74, 81, 143] Operation: 13*11=143
Moving to Node #0,3
Current State: 89:[74, 81, 143], Operations: ['13*11=143']
Exploring Operation: 143-81=62, Resulting Numbers: [74, 62]
Generated Node #0,3,0: 89:[74, 62] Operation: 143-81=62
Exploring Operation: 74+81=155, Resulting Numbers: [143, 155]
Generated Node #0,3,1: 89:[143, 155] Operation: 74+81=155
Exploring Operation: 81-74=7, Resulting Numbers: [143, 7]
Generated Node #0,3,2: 89:[143, 7] Operation: 81-74=7
Exploring Operation: 143-74=69, Resulting Numbers: [81, 69]
Generated Node #0,3,3: 89:[81, 69] Operation: 143-74=69
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 89:[81, 69], Operations: ['13*11=143', '143-74=69']
Exploring Operation: 81-69=12, Resulting Numbers: [12]
12,89 unequal: No Solution
Exploring Operation: 81+69=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Exploring Operation: 81*69=5589, Resulting Numbers: [5589]
5589,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 89:[74, 62], Operations: ['13*11=143', '143-81=62']
Exploring Operation: 74+62=136, Resulting Numbers: [136]
136,89 unequal: No Solution
Exploring Operation: 74*62=4588, Resulting Numbers: [4588]
4588,89 unequal: No Solution
Exploring Operation: 74-62=12, Resulting Numbers: [12]
12,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[143, 155], Operations: ['13*11=143', '74+81=155']
Exploring Operation: 143+155=298, Resulting Numbers: [298]
298,89 unequal: No Solution
Exploring Operation: 155-143=12, Resulting Numbers: [12]
12,89 unequal: No Solution
Exploring Operation: 143*155=22165, Resulting Numbers: [22165]
22165,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[143, 7], Operations: ['13*11=143', '81-74=7']
Exploring Operation: 143+7=150, Resulting Numbers: [150]
150,89 unequal: No Solution
Exploring Operation: 143-7=136, Resulting Numbers: [136]
136,89 unequal: No Solution
Exploring Operation: 143*7=1001, Resulting Numbers: [1001]
1001,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 89:[81, 11, 87], Operations: ['13+74=87']
Exploring Operation: 87-11=76, Resulting Numbers: [81, 76]
Generated Node #0,1,0: 89:[81, 76] Operation: 87-11=76
Exploring Operation: 81+11=92, Resulting Numbers: [87, 92]
Generated Node #0,1,1: 89:[87, 92] Operation: 81+11=92
Exploring Operation: 81-11=70, Resulting Numbers: [87, 70]
Generated Node #0,1,2: 89:[87, 70] Operation: 81-11=70
Exploring Operation: 11+87=98, Resulting Numbers: [81, 98]
Generated Node #0,1,3: 89:[81, 98] Operation: 11+87=98
Moving to Node #0,0
Current State: 89:[74, 81, 24], Operations: ['13+11=24']
Exploring Operation: 74+24=98, Resulting Numbers: [81, 98]
Generated Node #0,0,0: 89:[81, 98] Operation: 74+24=98
Exploring Operation: 81-24=57, Resulting Numbers: [74, 57]
Generated Node #0,0,1: 89:[74, 57] Operation: 81-24=57
Exploring Operation: 81+24=105, Resulting Numbers: [74, 105]
Generated Node #0,0,2: 89:[74, 105] Operation: 81+24=105
Exploring Operation: 74-24=50, Resulting Numbers: [81, 50]
Generated Node #0,0,3: 89:[81, 50] Operation: 74-24=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[81, 98], Operations: ['13+11=24', '74+24=98']
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,89 unequal: No Solution
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[74, 105], Operations: ['13+11=24', '81+24=105']
Exploring Operation: 74*105=7770, Resulting Numbers: [7770]
7770,89 unequal: No Solution
Exploring Operation: 74+105=179, Resulting Numbers: [179]
179,89 unequal: No Solution
Exploring Operation: 105-74=31, Resulting Numbers: [31]
31,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[74, 57], Operations: ['13+11=24', '81-24=57']
Exploring Operation: 74-57=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 74+57=131, Resulting Numbers: [131]
131,89 unequal: No Solution
Exploring Operation: 74*57=4218, Resulting Numbers: [4218]
4218,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 89:[81, 50], Operations: ['13+11=24', '74-24=50']
Exploring Operation: 81+50=131, Resulting Numbers: [131]
131,89 unequal: No Solution
Exploring Operation: 81*50=4050, Resulting Numbers: [4050]
4050,89 unequal: No Solution
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 89:[13, 81, 85], Operations: ['74+11=85']
Exploring Operation: 85-13=72, Resulting Numbers: [81, 72]
Generated Node #0,2,0: 89:[81, 72] Operation: 85-13=72
Exploring Operation: 13+81=94, Resulting Numbers: [85, 94]
Generated Node #0,2,1: 89:[85, 94] Operation: 13+81=94
Exploring Operation: 81-13=68, Resulting Numbers: [85, 68]
Generated Node #0,2,2: 89:[85, 68] Operation: 81-13=68
Exploring Operation: 13+85=98, Resulting Numbers: [81, 98]
Generated Node #0,2,3: 89:[81, 98] Operation: 13+85=98
Moving to Node #0,1,1
Current State: 89:[87, 92], Operations: ['13+74=87', '81+11=92']
Exploring Operation: 87*92=8004, Resulting Numbers: [8004]
8004,89 unequal: No Solution
Exploring Operation: 87+92=179, Resulting Numbers: [179]
179,89 unequal: No Solution
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[85, 94], Operations: ['74+11=85', '13+81=94']
Exploring Operation: 85*94=7990, Resulting Numbers: [7990]
7990,89 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 85+94=179, Resulting Numbers: [179]
179,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[81, 98], Operations: ['74+11=85', '13+85=98']
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,89 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[81, 98], Operations: ['13+74=87', '11+87=98']
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,89 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[81, 76], Operations: ['13+74=87', '87-11=76']
Exploring Operation: 81*76=6156, Resulting Numbers: [6156]
6156,89 unequal: No Solution
Exploring Operation: 81-76=5, Resulting Numbers: [5]
5,89 unequal: No Solution
Exploring Operation: 81+76=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[87, 70], Operations: ['13+74=87', '81-11=70']
Exploring Operation: 87-70=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 87+70=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 87*70=6090, Resulting Numbers: [6090]
6090,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[81, 72], Operations: ['74+11=85', '85-13=72']
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,89 unequal: No Solution
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[85, 68], Operations: ['74+11=85', '81-13=68']
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,89 unequal: No Solution
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,89 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
12,
7,
27,
53
] | 82 |
[
"12-7=5",
"27*5=135",
"135-53=82"
] |
Current State: 82:[12, 7, 27, 53], Operations: []
Exploring Operation: 12-7=5, Resulting Numbers: [27, 53, 5]
Generated Node #2: [27, 53, 5] from Operation: 12-7=5
Current State: 82:[27, 53, 5], Operations: ['12-7=5']
Exploring Operation: 27*5=135, Resulting Numbers: [53, 135]
Generated Node #3: [53, 135] from Operation: 27*5=135
Current State: 82:[53, 135], Operations: ['12-7=5', '27*5=135']
Exploring Operation: 135-53=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[12, 7, 27, 53], Operations: []
Exploring Operation: 12+27=39, Resulting Numbers: [7, 53, 39]
Generated Node #0,0: 82:[7, 53, 39] Operation: 12+27=39
Exploring Operation: 12*7=84, Resulting Numbers: [27, 53, 84]
Generated Node #0,1: 82:[27, 53, 84] Operation: 12*7=84
Exploring Operation: 53-12=41, Resulting Numbers: [7, 27, 41]
Generated Node #0,2: 82:[7, 27, 41] Operation: 53-12=41
Exploring Operation: 27+53=80, Resulting Numbers: [12, 7, 80]
Generated Node #0,3: 82:[12, 7, 80] Operation: 27+53=80
Moving to Node #0,3
Current State: 82:[12, 7, 80], Operations: ['27+53=80']
Exploring Operation: 12*7=84, Resulting Numbers: [80, 84]
Generated Node #0,3,0: 82:[80, 84] Operation: 12*7=84
Exploring Operation: 12-7=5, Resulting Numbers: [80, 5]
Generated Node #0,3,1: 82:[80, 5] Operation: 12-7=5
Exploring Operation: 7+80=87, Resulting Numbers: [12, 87]
Generated Node #0,3,2: 82:[12, 87] Operation: 7+80=87
Exploring Operation: 12+80=92, Resulting Numbers: [7, 92]
Generated Node #0,3,3: 82:[7, 92] Operation: 12+80=92
Moving to Node #0,2
Current State: 82:[7, 27, 41], Operations: ['53-12=41']
Exploring Operation: 41-27=14, Resulting Numbers: [7, 14]
Generated Node #0,2,0: 82:[7, 14] Operation: 41-27=14
Exploring Operation: 27-7=20, Resulting Numbers: [41, 20]
Generated Node #0,2,1: 82:[41, 20] Operation: 27-7=20
Exploring Operation: 7+27=34, Resulting Numbers: [41, 34]
Generated Node #0,2,2: 82:[41, 34] Operation: 7+27=34
Exploring Operation: 27+41=68, Resulting Numbers: [7, 68]
Generated Node #0,2,3: 82:[7, 68] Operation: 27+41=68
Moving to Node #0,0
Current State: 82:[7, 53, 39], Operations: ['12+27=39']
Exploring Operation: 53-7=46, Resulting Numbers: [39, 46]
Generated Node #0,0,0: 82:[39, 46] Operation: 53-7=46
Exploring Operation: 53-39=14, Resulting Numbers: [7, 14]
Generated Node #0,0,1: 82:[7, 14] Operation: 53-39=14
Exploring Operation: 53+39=92, Resulting Numbers: [7, 92]
Generated Node #0,0,2: 82:[7, 92] Operation: 53+39=92
Exploring Operation: 7+39=46, Resulting Numbers: [53, 46]
Generated Node #0,0,3: 82:[53, 46] Operation: 7+39=46
Moving to Node #0,1
Current State: 82:[27, 53, 84], Operations: ['12*7=84']
Exploring Operation: 53-27=26, Resulting Numbers: [84, 26]
Generated Node #0,1,0: 82:[84, 26] Operation: 53-27=26
Exploring Operation: 27+53=80, Resulting Numbers: [84, 80]
Generated Node #0,1,1: 82:[84, 80] Operation: 27+53=80
Exploring Operation: 84-27=57, Resulting Numbers: [53, 57]
Generated Node #0,1,2: 82:[53, 57] Operation: 84-27=57
Exploring Operation: 84-53=31, Resulting Numbers: [27, 31]
Generated Node #0,1,3: 82:[27, 31] Operation: 84-53=31
Moving to Node #0,3,0
Current State: 82:[80, 84], Operations: ['27+53=80', '12*7=84']
Exploring Operation: 80+84=164, Resulting Numbers: [164]
164,82 unequal: No Solution
Exploring Operation: 84-80=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 80*84=6720, Resulting Numbers: [6720]
6720,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[84, 80], Operations: ['12*7=84', '27+53=80']
Exploring Operation: 84-80=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 84+80=164, Resulting Numbers: [164]
164,82 unequal: No Solution
Exploring Operation: 84*80=6720, Resulting Numbers: [6720]
6720,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[80, 5], Operations: ['27+53=80', '12-7=5']
Exploring Operation: 80*5=400, Resulting Numbers: [400]
400,82 unequal: No Solution
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,82 unequal: No Solution
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[41, 34], Operations: ['53-12=41', '7+27=34']
Exploring Operation: 41*34=1394, Resulting Numbers: [1394]
1394,82 unequal: No Solution
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[39, 46], Operations: ['12+27=39', '53-7=46']
Exploring Operation: 39+46=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Exploring Operation: 39*46=1794, Resulting Numbers: [1794]
1794,82 unequal: No Solution
Exploring Operation: 46-39=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[12, 87], Operations: ['27+53=80', '7+80=87']
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,82 unequal: No Solution
Exploring Operation: 12*87=1044, Resulting Numbers: [1044]
1044,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[7, 92], Operations: ['12+27=39', '53+39=92']
Exploring Operation: 7*92=644, Resulting Numbers: [644]
644,82 unequal: No Solution
Exploring Operation: 7+92=99, Resulting Numbers: [99]
99,82 unequal: No Solution
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[7, 92], Operations: ['27+53=80', '12+80=92']
Exploring Operation: 7*92=644, Resulting Numbers: [644]
644,82 unequal: No Solution
Exploring Operation: 7+92=99, Resulting Numbers: [99]
99,82 unequal: No Solution
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[84, 26], Operations: ['12*7=84', '53-27=26']
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,82 unequal: No Solution
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,82 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[53, 46], Operations: ['12+27=39', '7+39=46']
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 53+46=99, Resulting Numbers: [99]
99,82 unequal: No Solution
Exploring Operation: 53*46=2438, Resulting Numbers: [2438]
2438,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[7, 14], Operations: ['53-12=41', '41-27=14']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[7, 14], Operations: ['12+27=39', '53-39=14']
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,82 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[41, 20], Operations: ['53-12=41', '27-7=20']
Exploring Operation: 41+20=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 41*20=820, Resulting Numbers: [820]
820,82 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[7, 68], Operations: ['53-12=41', '27+41=68']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,82 unequal: No Solution
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[27, 31], Operations: ['12*7=84', '84-53=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[53, 57], Operations: ['12*7=84', '84-27=57']
Exploring Operation: 53+57=110, Resulting Numbers: [110]
110,82 unequal: No Solution
Exploring Operation: 53*57=3021, Resulting Numbers: [3021]
3021,82 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,82 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
46,
83,
85,
9
] | 35 |
[
"46+83=129",
"85+9=94",
"129-94=35"
] |
Current State: 35:[46, 83, 85, 9], Operations: []
Exploring Operation: 46+83=129, Resulting Numbers: [85, 9, 129]
Generated Node #2: [85, 9, 129] from Operation: 46+83=129
Current State: 35:[85, 9, 129], Operations: ['46+83=129']
Exploring Operation: 85+9=94, Resulting Numbers: [129, 94]
Generated Node #3: [129, 94] from Operation: 85+9=94
Current State: 35:[129, 94], Operations: ['46+83=129', '85+9=94']
Exploring Operation: 129-94=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[46, 83, 85, 9], Operations: []
Exploring Operation: 85-46=39, Resulting Numbers: [83, 9, 39]
Generated Node #0,0: 35:[83, 9, 39] Operation: 85-46=39
Exploring Operation: 83-9=74, Resulting Numbers: [46, 85, 74]
Generated Node #0,1: 35:[46, 85, 74] Operation: 83-9=74
Exploring Operation: 85-83=2, Resulting Numbers: [46, 9, 2]
Generated Node #0,2: 35:[46, 9, 2] Operation: 85-83=2
Exploring Operation: 83-46=37, Resulting Numbers: [85, 9, 37]
Generated Node #0,3: 35:[85, 9, 37] Operation: 83-46=37
Exploring Operation: 46-9=37, Resulting Numbers: [83, 85, 37]
Generated Node #0,4: 35:[83, 85, 37] Operation: 46-9=37
Moving to Node #0,2
Current State: 35:[46, 9, 2], Operations: ['85-83=2']
Exploring Operation: 9-2=7, Resulting Numbers: [46, 7]
Generated Node #0,2,0: 35:[46, 7] Operation: 9-2=7
Exploring Operation: 46/2=23, Resulting Numbers: [9, 23]
Generated Node #0,2,1: 35:[9, 23] Operation: 46/2=23
Exploring Operation: 46-9=37, Resulting Numbers: [2, 37]
Generated Node #0,2,2: 35:[2, 37] Operation: 46-9=37
Exploring Operation: 46-2=44, Resulting Numbers: [9, 44]
Generated Node #0,2,3: 35:[9, 44] Operation: 46-2=44
Exploring Operation: 46+2=48, Resulting Numbers: [9, 48]
Generated Node #0,2,4: 35:[9, 48] Operation: 46+2=48
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[2, 37], Operations: ['85-83=2', '46-9=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[46, 83, 85, 9], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [46, 9, 2]
Generated Node #0,2: 35:[46, 9, 2] Operation: 85-83=2
Moving to Node #0,2
Current State: 35:[46, 9, 2], Operations: ['85-83=2']
Exploring Operation: 46-9=37, Resulting Numbers: [2, 37]
Generated Node #0,2,2: 35:[2, 37] Operation: 46-9=37
Moving to Node #0,2,2
Current State: 35:[2, 37], Operations: ['85-83=2', '46-9=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
84,
33,
48,
62
] | 32 |
[
"84-62=22",
"48*22=1056",
"1056/33=32"
] |
Current State: 32:[84, 33, 48, 62], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [33, 48, 22]
Generated Node #2: [33, 48, 22] from Operation: 84-62=22
Current State: 32:[33, 48, 22], Operations: ['84-62=22']
Exploring Operation: 48*22=1056, Resulting Numbers: [33, 1056]
Generated Node #3: [33, 1056] from Operation: 48*22=1056
Current State: 32:[33, 1056], Operations: ['84-62=22', '48*22=1056']
Exploring Operation: 1056/33=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[84, 33, 48, 62], Operations: []
Exploring Operation: 84-48=36, Resulting Numbers: [33, 62, 36]
Generated Node #0,0: 32:[33, 62, 36] Operation: 84-48=36
Exploring Operation: 84-62=22, Resulting Numbers: [33, 48, 22]
Generated Node #0,1: 32:[33, 48, 22] Operation: 84-62=22
Moving to Node #0,1
Current State: 32:[33, 48, 22], Operations: ['84-62=22']
Exploring Operation: 48-22=26, Resulting Numbers: [33, 26]
Generated Node #0,1,0: 32:[33, 26] Operation: 48-22=26
Exploring Operation: 48-33=15, Resulting Numbers: [22, 15]
Generated Node #0,1,1: 32:[22, 15] Operation: 48-33=15
Moving to Node #0,0
Current State: 32:[33, 62, 36], Operations: ['84-48=36']
Exploring Operation: 62-33=29, Resulting Numbers: [36, 29]
Generated Node #0,0,0: 32:[36, 29] Operation: 62-33=29
Exploring Operation: 62-36=26, Resulting Numbers: [33, 26]
Generated Node #0,0,1: 32:[33, 26] Operation: 62-36=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[36, 29], Operations: ['84-48=36', '62-33=29']
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[33, 26], Operations: ['84-48=36', '62-36=26']
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,32 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,32 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: 32:[33, 26], Operations: ['84-62=22', '48-22=26']
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,32 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[22, 15], Operations: ['84-62=22', '48-33=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,32 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,32 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
14,
9,
38,
36
] | 69 |
[
"14-9=5",
"38+36=74",
"74-5=69"
] |
Current State: 69:[14, 9, 38, 36], Operations: []
Exploring Operation: 14-9=5, Resulting Numbers: [38, 36, 5]
Generated Node #2: [38, 36, 5] from Operation: 14-9=5
Current State: 69:[38, 36, 5], Operations: ['14-9=5']
Exploring Operation: 38+36=74, Resulting Numbers: [5, 74]
Generated Node #3: [5, 74] from Operation: 38+36=74
Current State: 69:[5, 74], Operations: ['14-9=5', '38+36=74']
Exploring Operation: 74-5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[14, 9, 38, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [14, 9, 2]
Generated Node #0,0: 69:[14, 9, 2] Operation: 38-36=2
Exploring Operation: 38-14=24, Resulting Numbers: [9, 36, 24]
Generated Node #0,1: 69:[9, 36, 24] Operation: 38-14=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[14, 9, 2], Operations: ['38-36=2']
Exploring Operation: 14-9=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 69:[2, 5] Operation: 14-9=5
Exploring Operation: 14+9=23, Resulting Numbers: [2, 23]
Generated Node #0,0,1: 69:[2, 23] Operation: 14+9=23
Moving to Node #0,0,1
Current State: 69:[2, 23], Operations: ['38-36=2', '14+9=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[2, 5], Operations: ['38-36=2', '14-9=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,69 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:[9, 36, 24], Operations: ['38-14=24']
Exploring Operation: 36-9=27, Resulting Numbers: [24, 27]
Generated Node #0,1,0: 69:[24, 27] Operation: 36-9=27
Exploring Operation: 36/9=4, Resulting Numbers: [24, 4]
Generated Node #0,1,1: 69:[24, 4] Operation: 36/9=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 69:[24, 4], Operations: ['38-14=24', '36/9=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,69 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:[24, 27], Operations: ['38-14=24', '36-9=27']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,69 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
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
71,
11,
62,
52
] | 26 |
[
"71-11=60",
"62-60=2",
"52/2=26"
] |
Current State: 26:[71, 11, 62, 52], Operations: []
Exploring Operation: 71-11=60, Resulting Numbers: [62, 52, 60]
Generated Node #2: [62, 52, 60] from Operation: 71-11=60
Current State: 26:[62, 52, 60], Operations: ['71-11=60']
Exploring Operation: 62-60=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 62-60=2
Current State: 26:[52, 2], Operations: ['71-11=60', '62-60=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[71, 11, 62, 52], Operations: []
Exploring Operation: 71-62=9, Resulting Numbers: [11, 52, 9]
Generated Node #0,0: 26:[11, 52, 9] Operation: 71-62=9
Moving to Node #0,0
Current State: 26:[11, 52, 9], Operations: ['71-62=9']
Exploring Operation: 52-11=41, Resulting Numbers: [9, 41]
Generated Node #0,0,0: 26:[9, 41] Operation: 52-11=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[9, 41], Operations: ['71-62=9', '52-11=41']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
5,
63,
5,
9
] | 54 |
[
"5+63=68",
"5+9=14",
"68-14=54"
] |
Current State: 54:[5, 63, 5, 9], Operations: []
Exploring Operation: 5+63=68, Resulting Numbers: [9, 68]
Generated Node #2: [9, 68] from Operation: 5+63=68
Current State: 54:[9, 68], Operations: ['5+63=68']
Exploring Operation: 5+9=14, Resulting Numbers: [68, 14]
Generated Node #3: [68, 14] from Operation: 5+9=14
Current State: 54:[68, 14], Operations: ['5+63=68', '5+9=14']
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[5, 63, 5, 9], Operations: []
Exploring Operation: 63-9=54, Resulting Numbers: [5, 5, 54]
Generated Node #0,0: 54:[5, 5, 54] Operation: 63-9=54
Moving to Node #0,0
Current State: 54:[5, 5, 54], Operations: ['63-9=54']
Exploring Operation: 5+5=10, Resulting Numbers: [54, 10]
Generated Node #0,0,0: 54:[54, 10] Operation: 5+5=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[54, 10], Operations: ['63-9=54', '5+5=10']
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,54 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
|
[
9,
87,
87,
90
] | 93 |
[
"9+87=96",
"90-87=3",
"96-3=93"
] |
Current State: 93:[9, 87, 87, 90], Operations: []
Exploring Operation: 9+87=96, Resulting Numbers: [90, 96]
Generated Node #2: [90, 96] from Operation: 9+87=96
Current State: 93:[90, 96], Operations: ['9+87=96']
Exploring Operation: 90-87=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 90-87=3
Current State: 93:[96, 3], Operations: ['9+87=96', '90-87=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[9, 87, 87, 90], Operations: []
Exploring Operation: 87/87=1, Resulting Numbers: [9, 90, 1]
Generated Node #0,0: 93:[9, 90, 1] Operation: 87/87=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[9, 90, 1], Operations: ['87/87=1']
Exploring Operation: 9+90=99, Resulting Numbers: [1, 99]
Generated Node #0,0,0: 93:[1, 99] Operation: 9+90=99
Moving to Node #0,0,0
Current State: 93:[1, 99], Operations: ['87/87=1', '9+90=99']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,93 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
|
[
78,
67,
71,
37
] | 97 |
[
"78-67=11",
"71+37=108",
"108-11=97"
] |
Current State: 97:[78, 67, 71, 37], Operations: []
Exploring Operation: 78-67=11, Resulting Numbers: [71, 37, 11]
Generated Node #2: [71, 37, 11] from Operation: 78-67=11
Current State: 97:[71, 37, 11], Operations: ['78-67=11']
Exploring Operation: 71+37=108, Resulting Numbers: [11, 108]
Generated Node #3: [11, 108] from Operation: 71+37=108
Current State: 97:[11, 108], Operations: ['78-67=11', '71+37=108']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[78, 67, 71, 37], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [78, 67, 108]
Generated Node #0,0: 97:[78, 67, 108] Operation: 71+37=108
Exploring Operation: 67+37=104, Resulting Numbers: [78, 71, 104]
Generated Node #0,1: 97:[78, 71, 104] Operation: 67+37=104
Moving to Node #0,1
Current State: 97:[78, 71, 104], Operations: ['67+37=104']
Exploring Operation: 78+71=149, Resulting Numbers: [104, 149]
Generated Node #0,1,0: 97:[104, 149] Operation: 78+71=149
Exploring Operation: 104-71=33, Resulting Numbers: [78, 33]
Generated Node #0,1,1: 97:[78, 33] Operation: 104-71=33
Moving to Node #0,0
Current State: 97:[78, 67, 108], Operations: ['71+37=108']
Exploring Operation: 78+67=145, Resulting Numbers: [108, 145]
Generated Node #0,0,0: 97:[108, 145] Operation: 78+67=145
Exploring Operation: 108-67=41, Resulting Numbers: [78, 41]
Generated Node #0,0,1: 97:[78, 41] Operation: 108-67=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[108, 145], Operations: ['71+37=108', '78+67=145']
Exploring Operation: 145-108=37, Resulting Numbers: [37]
37,97 unequal: No Solution
Exploring Operation: 108+145=253, Resulting Numbers: [253]
253,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[78, 41], Operations: ['71+37=108', '108-67=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,97 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,97 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: 97:[104, 149], Operations: ['67+37=104', '78+71=149']
Exploring Operation: 149-104=45, Resulting Numbers: [45]
45,97 unequal: No Solution
Exploring Operation: 104+149=253, Resulting Numbers: [253]
253,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[78, 33], Operations: ['67+37=104', '104-71=33']
Exploring Operation: 78+33=111, Resulting Numbers: [111]
111,97 unequal: No Solution
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,97 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
8,
51,
63,
31
] | 51 |
[
"51-8=43",
"63+31=94",
"94-43=51"
] |
Current State: 51:[8, 51, 63, 31], Operations: []
Exploring Operation: 51-8=43, Resulting Numbers: [63, 31, 43]
Generated Node #2: [63, 31, 43] from Operation: 51-8=43
Current State: 51:[63, 31, 43], Operations: ['51-8=43']
Exploring Operation: 63+31=94, Resulting Numbers: [43, 94]
Generated Node #3: [43, 94] from Operation: 63+31=94
Current State: 51:[43, 94], Operations: ['51-8=43', '63+31=94']
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[8, 51, 63, 31], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [51, 31, 55]
Generated Node #0,0: 51:[51, 31, 55] Operation: 63-8=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[51, 31, 55], Operations: ['63-8=55']
Exploring Operation: 51-31=20, Resulting Numbers: [55, 20]
Generated Node #0,0,0: 51:[55, 20] Operation: 51-31=20
Moving to Node #0,0,0
Current State: 51:[55, 20], Operations: ['63-8=55', '51-31=20']
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,51 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
|
[
94,
8,
28,
52
] | 84 |
[
"28+52=80",
"80/8=10",
"94-10=84"
] |
Current State: 84:[94, 8, 28, 52], Operations: []
Exploring Operation: 28+52=80, Resulting Numbers: [94, 8, 80]
Generated Node #2: [94, 8, 80] from Operation: 28+52=80
Current State: 84:[94, 8, 80], Operations: ['28+52=80']
Exploring Operation: 80/8=10, Resulting Numbers: [94, 10]
Generated Node #3: [94, 10] from Operation: 80/8=10
Current State: 84:[94, 10], Operations: ['28+52=80', '80/8=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[94, 8, 28, 52], Operations: []
Exploring Operation: 94-8=86, Resulting Numbers: [28, 52, 86]
Generated Node #0,0: 84:[28, 52, 86] Operation: 94-8=86
Exploring Operation: 94-52=42, Resulting Numbers: [8, 28, 42]
Generated Node #0,1: 84:[8, 28, 42] Operation: 94-52=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[8, 28, 42], Operations: ['94-52=42']
Exploring Operation: 28-8=20, Resulting Numbers: [42, 20]
Generated Node #0,1,0: 84:[42, 20] Operation: 28-8=20
Exploring Operation: 42-28=14, Resulting Numbers: [8, 14]
Generated Node #0,1,1: 84:[8, 14] Operation: 42-28=14
Moving to Node #0,1,0
Current State: 84:[42, 20], Operations: ['94-52=42', '28-8=20']
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[8, 14], Operations: ['94-52=42', '42-28=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[28, 52, 86], Operations: ['94-8=86']
Exploring Operation: 52-28=24, Resulting Numbers: [86, 24]
Generated Node #0,0,0: 84:[86, 24] Operation: 52-28=24
Exploring Operation: 28+52=80, Resulting Numbers: [86, 80]
Generated Node #0,0,1: 84:[86, 80] Operation: 28+52=80
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[86, 24], Operations: ['94-8=86', '52-28=24']
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 86+24=110, Resulting Numbers: [110]
110,84 unequal: No Solution
No 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: 84:[86, 80], Operations: ['94-8=86', '28+52=80']
Exploring Operation: 86-80=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 86+80=166, Resulting Numbers: [166]
166,84 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
|
[
5,
99,
90,
52
] | 91 |
[
"90-52=38",
"5*38=190",
"190-99=91"
] |
Current State: 91:[5, 99, 90, 52], Operations: []
Exploring Operation: 90-52=38, Resulting Numbers: [5, 99, 38]
Generated Node #2: [5, 99, 38] from Operation: 90-52=38
Current State: 91:[5, 99, 38], Operations: ['90-52=38']
Exploring Operation: 5*38=190, Resulting Numbers: [99, 190]
Generated Node #3: [99, 190] from Operation: 5*38=190
Current State: 91:[99, 190], Operations: ['90-52=38', '5*38=190']
Exploring Operation: 190-99=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
Current State: 91:[5, 99, 90, 52], Operations: []
Exploring Operation: 99-52=47, Resulting Numbers: [5, 90, 47]
Generated Node #0,0: 91:[5, 90, 47] Operation: 99-52=47
Exploring Operation: 90-52=38, Resulting Numbers: [5, 99, 38]
Generated Node #0,1: 91:[5, 99, 38] Operation: 90-52=38
Exploring Operation: 5+52=57, Resulting Numbers: [99, 90, 57]
Generated Node #0,2: 91:[99, 90, 57] Operation: 5+52=57
Exploring Operation: 99-5=94, Resulting Numbers: [90, 52, 94]
Generated Node #0,3: 91:[90, 52, 94] Operation: 99-5=94
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[5, 99, 38], Operations: ['90-52=38']
Exploring Operation: 99-5=94, Resulting Numbers: [38, 94]
Generated Node #0,1,0: 91:[38, 94] Operation: 99-5=94
Exploring Operation: 99-38=61, Resulting Numbers: [5, 61]
Generated Node #0,1,1: 91:[5, 61] Operation: 99-38=61
Exploring Operation: 38-5=33, Resulting Numbers: [99, 33]
Generated Node #0,1,2: 91:[99, 33] Operation: 38-5=33
Exploring Operation: 5+99=104, Resulting Numbers: [38, 104]
Generated Node #0,1,3: 91:[38, 104] Operation: 5+99=104
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[38, 94], Operations: ['90-52=38', '99-5=94']
Exploring Operation: 38+94=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 94-38=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Exploring Operation: 38*94=3572, Resulting Numbers: [3572]
3572,91 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:[99, 33], Operations: ['90-52=38', '38-5=33']
Exploring Operation: 99+33=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 99-33=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 99/33=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 99*33=3267, Resulting Numbers: [3267]
3267,91 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:[5, 61], Operations: ['90-52=38', '99-38=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,91 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 #0,1,3
Current State: 91:[38, 104], Operations: ['90-52=38', '5+99=104']
Exploring Operation: 38+104=142, Resulting Numbers: [142]
142,91 unequal: No Solution
Exploring Operation: 104-38=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 38*104=3952, Resulting Numbers: [3952]
3952,91 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:[5, 90, 47], Operations: ['99-52=47']
Exploring Operation: 90-47=43, Resulting Numbers: [5, 43]
Generated Node #0,0,0: 91:[5, 43] Operation: 90-47=43
Exploring Operation: 90/5=18, Resulting Numbers: [47, 18]
Generated Node #0,0,1: 91:[47, 18] Operation: 90/5=18
Exploring Operation: 5+90=95, Resulting Numbers: [47, 95]
Generated Node #0,0,2: 91:[47, 95] Operation: 5+90=95
Exploring Operation: 47-5=42, Resulting Numbers: [90, 42]
Generated Node #0,0,3: 91:[90, 42] Operation: 47-5=42
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 91:[90, 42], Operations: ['99-52=47', '47-5=42']
Exploring Operation: 90+42=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 90*42=3780, Resulting Numbers: [3780]
3780,91 unequal: No Solution
Exploring Operation: 90-42=48, Resulting Numbers: [48]
48,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[5, 43], Operations: ['99-52=47', '90-47=43']
Exploring Operation: 5*43=215, Resulting Numbers: [215]
215,91 unequal: No Solution
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,91 unequal: No Solution
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,91 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:[47, 95], Operations: ['99-52=47', '5+90=95']
Exploring Operation: 47*95=4465, Resulting Numbers: [4465]
4465,91 unequal: No Solution
Exploring Operation: 47+95=142, Resulting Numbers: [142]
142,91 unequal: No Solution
Exploring Operation: 95-47=48, Resulting Numbers: [48]
48,91 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:[47, 18], Operations: ['99-52=47', '90/5=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 47*18=846, Resulting Numbers: [846]
846,91 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,91 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 #0,2
Current State: 91:[99, 90, 57], Operations: ['5+52=57']
Exploring Operation: 90-57=33, Resulting Numbers: [99, 33]
Generated Node #0,2,0: 91:[99, 33] Operation: 90-57=33
Exploring Operation: 90+57=147, Resulting Numbers: [99, 147]
Generated Node #0,2,1: 91:[99, 147] Operation: 90+57=147
Exploring Operation: 99-57=42, Resulting Numbers: [90, 42]
Generated Node #0,2,2: 91:[90, 42] Operation: 99-57=42
Exploring Operation: 99-90=9, Resulting Numbers: [57, 9]
Generated Node #0,2,3: 91:[57, 9] Operation: 99-90=9
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 91:[99, 33], Operations: ['5+52=57', '90-57=33']
Exploring Operation: 99-33=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 99*33=3267, Resulting Numbers: [3267]
3267,91 unequal: No Solution
Exploring Operation: 99/33=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 99+33=132, Resulting Numbers: [132]
132,91 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 #0,2,2
Current State: 91:[90, 42], Operations: ['5+52=57', '99-57=42']
Exploring Operation: 90*42=3780, Resulting Numbers: [3780]
3780,91 unequal: No Solution
Exploring Operation: 90+42=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 90-42=48, Resulting Numbers: [48]
48,91 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 #0,2,3
Current State: 91:[57, 9], Operations: ['5+52=57', '99-90=9']
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,91 unequal: No Solution
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,91 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,91 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:[99, 147], Operations: ['5+52=57', '90+57=147']
Exploring Operation: 99*147=14553, Resulting Numbers: [14553]
14553,91 unequal: No Solution
Exploring Operation: 99+147=246, Resulting Numbers: [246]
246,91 unequal: No Solution
Exploring Operation: 147-99=48, Resulting Numbers: [48]
48,91 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 #0,3
Current State: 91:[90, 52, 94], Operations: ['99-5=94']
Exploring Operation: 90-52=38, Resulting Numbers: [94, 38]
Generated Node #0,3,0: 91:[94, 38] Operation: 90-52=38
Exploring Operation: 94-52=42, Resulting Numbers: [90, 42]
Generated Node #0,3,1: 91:[90, 42] Operation: 94-52=42
Exploring Operation: 94-90=4, Resulting Numbers: [52, 4]
Generated Node #0,3,2: 91:[52, 4] Operation: 94-90=4
Exploring Operation: 90+52=142, Resulting Numbers: [94, 142]
Generated Node #0,3,3: 91:[94, 142] Operation: 90+52=142
Moving to Node #0,3,0
Current State: 91:[94, 38], Operations: ['99-5=94', '90-52=38']
Exploring Operation: 94-38=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Exploring Operation: 94+38=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 94*38=3572, Resulting Numbers: [3572]
3572,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[90, 42], Operations: ['99-5=94', '94-52=42']
Exploring Operation: 90-42=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 90*42=3780, Resulting Numbers: [3780]
3780,91 unequal: No Solution
Exploring Operation: 90+42=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Moving to Node #0,3,2
Current State: 91:[52, 4], Operations: ['99-5=94', '94-90=4']
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,91 unequal: No Solution
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[94, 142], Operations: ['99-5=94', '90+52=142']
Exploring Operation: 142-94=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 94+142=236, Resulting Numbers: [236]
236,91 unequal: No Solution
Exploring Operation: 94*142=13348, Resulting Numbers: [13348]
13348,91 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
|
[
1,
4,
9,
27
] | 100 |
[
"9-1=8",
"4*27=108",
"108-8=100"
] |
Current State: 100:[1, 4, 9, 27], Operations: []
Exploring Operation: 9-1=8, Resulting Numbers: [4, 27, 8]
Generated Node #2: [4, 27, 8] from Operation: 9-1=8
Current State: 100:[4, 27, 8], Operations: ['9-1=8']
Exploring Operation: 4*27=108, Resulting Numbers: [8, 108]
Generated Node #3: [8, 108] from Operation: 4*27=108
Current State: 100:[8, 108], Operations: ['9-1=8', '4*27=108']
Exploring Operation: 108-8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[1, 4, 9, 27], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [9, 27, 5]
Generated Node #0,0: 100:[9, 27, 5] Operation: 1+4=5
Exploring Operation: 1+9=10, Resulting Numbers: [4, 27, 10]
Generated Node #0,1: 100:[4, 27, 10] Operation: 1+9=10
Exploring Operation: 27/9=3, Resulting Numbers: [1, 4, 3]
Generated Node #0,2: 100:[1, 4, 3] Operation: 27/9=3
Exploring Operation: 27-1=26, Resulting Numbers: [4, 9, 26]
Generated Node #0,3: 100:[4, 9, 26] Operation: 27-1=26
Exploring Operation: 1*4=4, Resulting Numbers: [9, 27, 4]
Generated Node #0,4: 100:[9, 27, 4] Operation: 1*4=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[4, 27, 10], Operations: ['1+9=10']
Exploring Operation: 4+27=31, Resulting Numbers: [10, 31]
Generated Node #0,1,0: 100:[10, 31] Operation: 4+27=31
Exploring Operation: 27-4=23, Resulting Numbers: [10, 23]
Generated Node #0,1,1: 100:[10, 23] Operation: 27-4=23
Exploring Operation: 27-10=17, Resulting Numbers: [4, 17]
Generated Node #0,1,2: 100:[4, 17] Operation: 27-10=17
Exploring Operation: 4+10=14, Resulting Numbers: [27, 14]
Generated Node #0,1,3: 100:[27, 14] Operation: 4+10=14
Exploring Operation: 10-4=6, Resulting Numbers: [27, 6]
Generated Node #0,1,4: 100:[27, 6] Operation: 10-4=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[10, 23], Operations: ['1+9=10', '27-4=23']
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,100 unequal: No Solution
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[4, 17], Operations: ['1+9=10', '27-10=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,100 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 100:[27, 6], Operations: ['1+9=10', '10-4=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,100 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[10, 31], Operations: ['1+9=10', '4+27=31']
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,100 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 100:[27, 14], Operations: ['1+9=10', '4+10=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,100 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[1, 4, 3], Operations: ['27/9=3']
Exploring Operation: 1+3=4, Resulting Numbers: [4, 4]
Generated Node #0,2,0: 100:[4, 4] Operation: 1+3=4
Exploring Operation: 3-1=2, Resulting Numbers: [4, 2]
Generated Node #0,2,1: 100:[4, 2] Operation: 3-1=2
Exploring Operation: 4/1=4, Resulting Numbers: [3, 4]
Generated Node #0,2,2: 100:[3, 4] Operation: 4/1=4
Exploring Operation: 1+4=5, Resulting Numbers: [3, 5]
Generated Node #0,2,3: 100:[3, 5] Operation: 1+4=5
Exploring Operation: 1*4=4, Resulting Numbers: [3, 4]
Generated Node #0,2,4: 100:[3, 4] Operation: 1*4=4
Moving to Node #0,2,0
Current State: 100:[4, 4], Operations: ['27/9=3', '1+3=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[4, 2], Operations: ['27/9=3', '3-1=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[3, 4], Operations: ['27/9=3', '4/1=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,100 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[3, 5], Operations: ['27/9=3', '1+4=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,100 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,2,4
Current State: 100:[3, 4], Operations: ['27/9=3', '1*4=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,100 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[4, 9, 26], Operations: ['27-1=26']
Exploring Operation: 26-4=22, Resulting Numbers: [9, 22]
Generated Node #0,3,0: 100:[9, 22] Operation: 26-4=22
Exploring Operation: 26-9=17, Resulting Numbers: [4, 17]
Generated Node #0,3,1: 100:[4, 17] Operation: 26-9=17
Exploring Operation: 4*26=104, Resulting Numbers: [9, 104]
Generated Node #0,3,2: 100:[9, 104] Operation: 4*26=104
Exploring Operation: 9-4=5, Resulting Numbers: [26, 5]
Generated Node #0,3,3: 100:[26, 5] Operation: 9-4=5
Exploring Operation: 4+9=13, Resulting Numbers: [26, 13]
Generated Node #0,3,4: 100:[26, 13] Operation: 4+9=13
Moving to Node #0,3,3
Current State: 100:[26, 5], Operations: ['27-1=26', '9-4=5']
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[4, 17], Operations: ['27-1=26', '26-9=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[9, 22], Operations: ['27-1=26', '26-4=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,100 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[26, 13], Operations: ['27-1=26', '4+9=13']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,100 unequal: No Solution
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,100 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[9, 104], Operations: ['27-1=26', '4*26=104']
Exploring Operation: 9*104=936, Resulting Numbers: [936]
936,100 unequal: No Solution
Exploring Operation: 104-9=95, Resulting Numbers: [95]
95,100 unequal: No Solution
Exploring Operation: 9+104=113, Resulting Numbers: [113]
113,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[9, 27, 5], Operations: ['1+4=5']
Exploring Operation: 9+5=14, Resulting Numbers: [27, 14]
Generated Node #0,0,0: 100:[27, 14] Operation: 9+5=14
Exploring Operation: 27-5=22, Resulting Numbers: [9, 22]
Generated Node #0,0,1: 100:[9, 22] Operation: 27-5=22
Exploring Operation: 27/9=3, Resulting Numbers: [5, 3]
Generated Node #0,0,2: 100:[5, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [5, 18]
Generated Node #0,0,3: 100:[5, 18] Operation: 27-9=18
Exploring Operation: 9-5=4, Resulting Numbers: [27, 4]
Generated Node #0,0,4: 100:[27, 4] Operation: 9-5=4
Moving to Node #0,0,2
Current State: 100:[5, 3], Operations: ['1+4=5', '27/9=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,100 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Moving to Node #0,0,4
Current State: 100:[27, 4], Operations: ['1+4=5', '9-5=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[5, 18], Operations: ['1+4=5', '27-9=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[9, 22], Operations: ['1+4=5', '27-5=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,100 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[27, 14], Operations: ['1+4=5', '9+5=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,100 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 100:[9, 27, 4], Operations: ['1*4=4']
Exploring Operation: 27/9=3, Resulting Numbers: [4, 3]
Generated Node #0,4,0: 100:[4, 3] Operation: 27/9=3
Exploring Operation: 9+4=13, Resulting Numbers: [27, 13]
Generated Node #0,4,1: 100:[27, 13] Operation: 9+4=13
Exploring Operation: 27-9=18, Resulting Numbers: [4, 18]
Generated Node #0,4,2: 100:[4, 18] Operation: 27-9=18
Exploring Operation: 9-4=5, Resulting Numbers: [27, 5]
Generated Node #0,4,3: 100:[27, 5] Operation: 9-4=5
Exploring Operation: 27-4=23, Resulting Numbers: [9, 23]
Generated Node #0,4,4: 100:[9, 23] Operation: 27-4=23
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 100:[4, 3], Operations: ['1*4=4', '27/9=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 100:[4, 18], Operations: ['1*4=4', '27-9=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 100:[27, 5], Operations: ['1*4=4', '9-4=5']
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,100 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 100:[9, 23], Operations: ['1*4=4', '27-4=23']
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,100 unequal: No Solution
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 100:[27, 13], Operations: ['1*4=4', '9+4=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,100 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
7,
5,
13,
85
] | 89 |
[
"7+13=20",
"20/5=4",
"85+4=89"
] |
Current State: 89:[7, 5, 13, 85], Operations: []
Exploring Operation: 7+13=20, Resulting Numbers: [5, 85, 20]
Generated Node #2: [5, 85, 20] from Operation: 7+13=20
Current State: 89:[5, 85, 20], Operations: ['7+13=20']
Exploring Operation: 20/5=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 20/5=4
Current State: 89:[85, 4], Operations: ['7+13=20', '20/5=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
Current State: 89:[7, 5, 13, 85], Operations: []
Exploring Operation: 7+5=12, Resulting Numbers: [13, 85, 12]
Generated Node #0,0: 89:[13, 85, 12] Operation: 7+5=12
Exploring Operation: 7*5=35, Resulting Numbers: [13, 85, 35]
Generated Node #0,1: 89:[13, 85, 35] Operation: 7*5=35
Exploring Operation: 5*13=65, Resulting Numbers: [7, 85, 65]
Generated Node #0,2: 89:[7, 85, 65] Operation: 5*13=65
Exploring Operation: 7*13=91, Resulting Numbers: [5, 85, 91]
Generated Node #0,3: 89:[5, 85, 91] Operation: 7*13=91
Moving to Node #0,3
Current State: 89:[5, 85, 91], Operations: ['7*13=91']
Exploring Operation: 5+91=96, Resulting Numbers: [85, 96]
Generated Node #0,3,0: 89:[85, 96] Operation: 5+91=96
Exploring Operation: 5+85=90, Resulting Numbers: [91, 90]
Generated Node #0,3,1: 89:[91, 90] Operation: 5+85=90
Exploring Operation: 85-5=80, Resulting Numbers: [91, 80]
Generated Node #0,3,2: 89:[91, 80] Operation: 85-5=80
Exploring Operation: 91-5=86, Resulting Numbers: [85, 86]
Generated Node #0,3,3: 89:[85, 86] Operation: 91-5=86
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[91, 90], Operations: ['7*13=91', '5+85=90']
Exploring Operation: 91*90=8190, Resulting Numbers: [8190]
8190,89 unequal: No Solution
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 91+90=181, Resulting Numbers: [181]
181,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 89:[85, 86], Operations: ['7*13=91', '91-5=86']
Exploring Operation: 85*86=7310, Resulting Numbers: [7310]
7310,89 unequal: No Solution
Exploring Operation: 86-85=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 85+86=171, Resulting Numbers: [171]
171,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 89:[85, 96], Operations: ['7*13=91', '5+91=96']
Exploring Operation: 85+96=181, Resulting Numbers: [181]
181,89 unequal: No Solution
Exploring Operation: 85*96=8160, Resulting Numbers: [8160]
8160,89 unequal: No Solution
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[91, 80], Operations: ['7*13=91', '85-5=80']
Exploring Operation: 91+80=171, Resulting Numbers: [171]
171,89 unequal: No Solution
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 91*80=7280, Resulting Numbers: [7280]
7280,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 89:[7, 85, 65], Operations: ['5*13=65']
Exploring Operation: 65-7=58, Resulting Numbers: [85, 58]
Generated Node #0,2,0: 89:[85, 58] Operation: 65-7=58
Exploring Operation: 7+65=72, Resulting Numbers: [85, 72]
Generated Node #0,2,1: 89:[85, 72] Operation: 7+65=72
Exploring Operation: 85-7=78, Resulting Numbers: [65, 78]
Generated Node #0,2,2: 89:[65, 78] Operation: 85-7=78
Exploring Operation: 7+85=92, Resulting Numbers: [65, 92]
Generated Node #0,2,3: 89:[65, 92] Operation: 7+85=92
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[85, 72], Operations: ['5*13=65', '7+65=72']
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 85*72=6120, Resulting Numbers: [6120]
6120,89 unequal: No Solution
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 89:[65, 92], Operations: ['5*13=65', '7+85=92']
Exploring Operation: 65+92=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 65*92=5980, Resulting Numbers: [5980]
5980,89 unequal: No Solution
Exploring Operation: 92-65=27, Resulting Numbers: [27]
27,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[85, 58], Operations: ['5*13=65', '65-7=58']
Exploring Operation: 85*58=4930, Resulting Numbers: [4930]
4930,89 unequal: No Solution
Exploring Operation: 85-58=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 85+58=143, Resulting Numbers: [143]
143,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 89:[65, 78], Operations: ['5*13=65', '85-7=78']
Exploring Operation: 65*78=5070, Resulting Numbers: [5070]
5070,89 unequal: No Solution
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 65+78=143, Resulting Numbers: [143]
143,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 89:[13, 85, 35], Operations: ['7*5=35']
Exploring Operation: 13+85=98, Resulting Numbers: [35, 98]
Generated Node #0,1,0: 89:[35, 98] Operation: 13+85=98
Exploring Operation: 85-13=72, Resulting Numbers: [35, 72]
Generated Node #0,1,1: 89:[35, 72] Operation: 85-13=72
Exploring Operation: 35-13=22, Resulting Numbers: [85, 22]
Generated Node #0,1,2: 89:[85, 22] Operation: 35-13=22
Exploring Operation: 13+35=48, Resulting Numbers: [85, 48]
Generated Node #0,1,3: 89:[85, 48] Operation: 13+35=48
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 89:[85, 48], Operations: ['7*5=35', '13+35=48']
Exploring Operation: 85+48=133, Resulting Numbers: [133]
133,89 unequal: No Solution
Exploring Operation: 85*48=4080, Resulting Numbers: [4080]
4080,89 unequal: No Solution
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[35, 98], Operations: ['7*5=35', '13+85=98']
Exploring Operation: 35*98=3430, Resulting Numbers: [3430]
3430,89 unequal: No Solution
Exploring Operation: 35+98=133, Resulting Numbers: [133]
133,89 unequal: No Solution
Exploring Operation: 98-35=63, Resulting Numbers: [63]
63,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[35, 72], Operations: ['7*5=35', '85-13=72']
Exploring Operation: 35+72=107, Resulting Numbers: [107]
107,89 unequal: No Solution
Exploring Operation: 35*72=2520, Resulting Numbers: [2520]
2520,89 unequal: No Solution
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[85, 22], Operations: ['7*5=35', '35-13=22']
Exploring Operation: 85*22=1870, Resulting Numbers: [1870]
1870,89 unequal: No Solution
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,89 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,89 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: 89:[13, 85, 12], Operations: ['7+5=12']
Exploring Operation: 13+12=25, Resulting Numbers: [85, 25]
Generated Node #0,0,0: 89:[85, 25] Operation: 13+12=25
Exploring Operation: 85+12=97, Resulting Numbers: [13, 97]
Generated Node #0,0,1: 89:[13, 97] Operation: 85+12=97
Exploring Operation: 13+85=98, Resulting Numbers: [12, 98]
Generated Node #0,0,2: 89:[12, 98] Operation: 13+85=98
Exploring Operation: 13*12=156, Resulting Numbers: [85, 156]
Generated Node #0,0,3: 89:[85, 156] Operation: 13*12=156
Moving to Node #0,0,0
Current State: 89:[85, 25], Operations: ['7+5=12', '13+12=25']
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,89 unequal: No Solution
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,89 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[85, 156], Operations: ['7+5=12', '13*12=156']
Exploring Operation: 85*156=13260, Resulting Numbers: [13260]
13260,89 unequal: No Solution
Exploring Operation: 156-85=71, Resulting Numbers: [71]
71,89 unequal: No Solution
Exploring Operation: 85+156=241, Resulting Numbers: [241]
241,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[13, 97], Operations: ['7+5=12', '85+12=97']
Exploring Operation: 13*97=1261, Resulting Numbers: [1261]
1261,89 unequal: No Solution
Exploring Operation: 97-13=84, Resulting Numbers: [84]
84,89 unequal: No Solution
Exploring Operation: 13+97=110, Resulting Numbers: [110]
110,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[12, 98], Operations: ['7+5=12', '13+85=98']
Exploring Operation: 12+98=110, Resulting Numbers: [110]
110,89 unequal: No Solution
Exploring Operation: 12*98=1176, Resulting Numbers: [1176]
1176,89 unequal: No Solution
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,89 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
78,
14,
28,
42
] | 81 |
[
"78*14=1092",
"1092/28=39",
"42+39=81"
] |
Current State: 81:[78, 14, 28, 42], Operations: []
Exploring Operation: 78*14=1092, Resulting Numbers: [28, 42, 1092]
Generated Node #2: [28, 42, 1092] from Operation: 78*14=1092
Current State: 81:[28, 42, 1092], Operations: ['78*14=1092']
Exploring Operation: 1092/28=39, Resulting Numbers: [42, 39]
Generated Node #3: [42, 39] from Operation: 1092/28=39
Current State: 81:[42, 39], Operations: ['78*14=1092', '1092/28=39']
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[78, 14, 28, 42], Operations: []
Exploring Operation: 42-14=28, Resulting Numbers: [78, 28, 28]
Generated Node #0,0: 81:[78, 28, 28] Operation: 42-14=28
Exploring Operation: 42/14=3, Resulting Numbers: [78, 28, 3]
Generated Node #0,1: 81:[78, 28, 3] Operation: 42/14=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[78, 28, 3], Operations: ['42/14=3']
Exploring Operation: 78/3=26, Resulting Numbers: [28, 26]
Generated Node #0,1,0: 81:[28, 26] Operation: 78/3=26
Exploring Operation: 78+3=81, Resulting Numbers: [28, 81]
Generated Node #0,1,1: 81:[28, 81] Operation: 78+3=81
Moving to Node #0,1,1
Current State: 81:[28, 81], Operations: ['42/14=3', '78+3=81']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,81 unequal: No Solution
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[28, 26], Operations: ['42/14=3', '78/3=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[78, 28, 28], Operations: ['42-14=28']
Exploring Operation: 28/28=1, Resulting Numbers: [78, 1]
Generated Node #0,0,0: 81:[78, 1] Operation: 28/28=1
Exploring Operation: 28-28=0, Resulting Numbers: [78, 0]
Generated Node #0,0,1: 81:[78, 0] Operation: 28-28=0
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[78, 1], Operations: ['42-14=28', '28/28=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,81 unequal: No Solution
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,81 unequal: No Solution
No 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: 81:[78, 0], Operations: ['42-14=28', '28-28=0']
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Exploring Operation: 78*0=0, Resulting Numbers: [0]
0,81 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
|
[
66,
62,
44,
54
] | 19 |
[
"66*54=3564",
"3564/44=81",
"81-62=19"
] |
Current State: 19:[66, 62, 44, 54], Operations: []
Exploring Operation: 66*54=3564, Resulting Numbers: [62, 44, 3564]
Generated Node #2: [62, 44, 3564] from Operation: 66*54=3564
Current State: 19:[62, 44, 3564], Operations: ['66*54=3564']
Exploring Operation: 3564/44=81, Resulting Numbers: [62, 81]
Generated Node #3: [62, 81] from Operation: 3564/44=81
Current State: 19:[62, 81], Operations: ['66*54=3564', '3564/44=81']
Exploring Operation: 81-62=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[66, 62, 44, 54], Operations: []
Exploring Operation: 62-44=18, Resulting Numbers: [66, 54, 18]
Generated Node #0,0: 19:[66, 54, 18] Operation: 62-44=18
Exploring Operation: 66-62=4, Resulting Numbers: [44, 54, 4]
Generated Node #0,1: 19:[44, 54, 4] Operation: 66-62=4
Exploring Operation: 66-44=22, Resulting Numbers: [62, 54, 22]
Generated Node #0,2: 19:[62, 54, 22] Operation: 66-44=22
Exploring Operation: 66-54=12, Resulting Numbers: [62, 44, 12]
Generated Node #0,3: 19:[62, 44, 12] Operation: 66-54=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[44, 54, 4], Operations: ['66-62=4']
Exploring Operation: 54-4=50, Resulting Numbers: [44, 50]
Generated Node #0,1,0: 19:[44, 50] Operation: 54-4=50
Exploring Operation: 44-4=40, Resulting Numbers: [54, 40]
Generated Node #0,1,1: 19:[54, 40] Operation: 44-4=40
Exploring Operation: 54-44=10, Resulting Numbers: [4, 10]
Generated Node #0,1,2: 19:[4, 10] Operation: 54-44=10
Exploring Operation: 44/4=11, Resulting Numbers: [54, 11]
Generated Node #0,1,3: 19:[54, 11] Operation: 44/4=11
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[4, 10], Operations: ['66-62=4', '54-44=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,19 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 19:[54, 11], Operations: ['66-62=4', '44/4=11']
Exploring Operation: 54+11=65, Resulting Numbers: [65]
65,19 unequal: No Solution
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,19 unequal: No Solution
Exploring Operation: 54*11=594, Resulting Numbers: [594]
594,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[44, 50], Operations: ['66-62=4', '54-4=50']
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,19 unequal: No Solution
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[54, 40], Operations: ['66-62=4', '44-4=40']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 54+40=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 54*40=2160, Resulting Numbers: [2160]
2160,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[62, 44, 12], Operations: ['66-54=12']
Exploring Operation: 62+12=74, Resulting Numbers: [44, 74]
Generated Node #0,3,0: 19:[44, 74] Operation: 62+12=74
Exploring Operation: 62-12=50, Resulting Numbers: [44, 50]
Generated Node #0,3,1: 19:[44, 50] Operation: 62-12=50
Exploring Operation: 44-12=32, Resulting Numbers: [62, 32]
Generated Node #0,3,2: 19:[62, 32] Operation: 44-12=32
Exploring Operation: 62-44=18, Resulting Numbers: [12, 18]
Generated Node #0,3,3: 19:[12, 18] Operation: 62-44=18
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 19:[12, 18], Operations: ['66-54=12', '62-44=18']
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,19 unequal: No Solution
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[44, 50], Operations: ['66-54=12', '62-12=50']
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 44*50=2200, Resulting Numbers: [2200]
2200,19 unequal: No Solution
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[62, 32], Operations: ['66-54=12', '44-12=32']
Exploring Operation: 62*32=1984, Resulting Numbers: [1984]
1984,19 unequal: No Solution
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 62+32=94, Resulting Numbers: [94]
94,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 19:[44, 74], Operations: ['66-54=12', '62+12=74']
Exploring Operation: 44+74=118, Resulting Numbers: [118]
118,19 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 44*74=3256, Resulting Numbers: [3256]
3256,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[62, 54, 22], Operations: ['66-44=22']
Exploring Operation: 62-22=40, Resulting Numbers: [54, 40]
Generated Node #0,2,0: 19:[54, 40] Operation: 62-22=40
Exploring Operation: 54-22=32, Resulting Numbers: [62, 32]
Generated Node #0,2,1: 19:[62, 32] Operation: 54-22=32
Exploring Operation: 62-54=8, Resulting Numbers: [22, 8]
Generated Node #0,2,2: 19:[22, 8] Operation: 62-54=8
Exploring Operation: 62+54=116, Resulting Numbers: [22, 116]
Generated Node #0,2,3: 19:[22, 116] Operation: 62+54=116
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[22, 8], Operations: ['66-44=22', '62-54=8']
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,19 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 19:[54, 40], Operations: ['66-44=22', '62-22=40']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 54+40=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 54*40=2160, Resulting Numbers: [2160]
2160,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 19:[62, 32], Operations: ['66-44=22', '54-22=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 62+32=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 62*32=1984, Resulting Numbers: [1984]
1984,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 19:[22, 116], Operations: ['66-44=22', '62+54=116']
Exploring Operation: 116-22=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 22+116=138, Resulting Numbers: [138]
138,19 unequal: No Solution
Exploring Operation: 22*116=2552, Resulting Numbers: [2552]
2552,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[66, 54, 18], Operations: ['62-44=18']
Exploring Operation: 54-18=36, Resulting Numbers: [66, 36]
Generated Node #0,0,0: 19:[66, 36] Operation: 54-18=36
Exploring Operation: 66-54=12, Resulting Numbers: [18, 12]
Generated Node #0,0,1: 19:[18, 12] Operation: 66-54=12
Exploring Operation: 66-18=48, Resulting Numbers: [54, 48]
Generated Node #0,0,2: 19:[54, 48] Operation: 66-18=48
Exploring Operation: 54/18=3, Resulting Numbers: [66, 3]
Generated Node #0,0,3: 19:[66, 3] Operation: 54/18=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[18, 12], Operations: ['62-44=18', '66-54=12']
Exploring Operation: 18*12=216, Resulting Numbers: [216]
216,19 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 19:[66, 3], Operations: ['62-44=18', '54/18=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,19 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[66, 36], Operations: ['62-44=18', '54-18=36']
Exploring Operation: 66+36=102, Resulting Numbers: [102]
102,19 unequal: No Solution
Exploring Operation: 66*36=2376, Resulting Numbers: [2376]
2376,19 unequal: No Solution
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[54, 48], Operations: ['62-44=18', '66-18=48']
Exploring Operation: 54*48=2592, Resulting Numbers: [2592]
2592,19 unequal: No Solution
Exploring Operation: 54-48=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 54+48=102, Resulting Numbers: [102]
102,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
91,
54,
15,
53
] | 52 |
[
"91+15=106",
"106/53=2",
"54-2=52"
] |
Current State: 52:[91, 54, 15, 53], Operations: []
Exploring Operation: 91+15=106, Resulting Numbers: [54, 53, 106]
Generated Node #2: [54, 53, 106] from Operation: 91+15=106
Current State: 52:[54, 53, 106], Operations: ['91+15=106']
Exploring Operation: 106/53=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 106/53=2
Current State: 52:[54, 2], Operations: ['91+15=106', '106/53=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[91, 54, 15, 53], Operations: []
Exploring Operation: 91-54=37, Resulting Numbers: [15, 53, 37]
Generated Node #0,0: 52:[15, 53, 37] Operation: 91-54=37
Moving to Node #0,0
Current State: 52:[15, 53, 37], Operations: ['91-54=37']
Exploring Operation: 15+37=52, Resulting Numbers: [53, 52]
Generated Node #0,0,0: 52:[53, 52] Operation: 15+37=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[53, 52], Operations: ['91-54=37', '15+37=52']
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
18,
35,
59,
21
] | 72 |
[
"21-18=3",
"59-35=24",
"3*24=72"
] |
Current State: 72:[18, 35, 59, 21], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [35, 59, 3]
Generated Node #2: [35, 59, 3] from Operation: 21-18=3
Current State: 72:[35, 59, 3], Operations: ['21-18=3']
Exploring Operation: 59-35=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 59-35=24
Current State: 72:[3, 24], Operations: ['21-18=3', '59-35=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[18, 35, 59, 21], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [18, 21, 24]
Generated Node #0,0: 72:[18, 21, 24] Operation: 59-35=24
Exploring Operation: 59-21=38, Resulting Numbers: [18, 35, 38]
Generated Node #0,1: 72:[18, 35, 38] Operation: 59-21=38
Exploring Operation: 18+59=77, Resulting Numbers: [35, 21, 77]
Generated Node #0,2: 72:[35, 21, 77] Operation: 18+59=77
Moving to Node #0,0
Current State: 72:[18, 21, 24], Operations: ['59-35=24']
Exploring Operation: 21-18=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 72:[24, 3] Operation: 21-18=3
Exploring Operation: 18+21=39, Resulting Numbers: [24, 39]
Generated Node #0,0,1: 72:[24, 39] Operation: 18+21=39
Exploring Operation: 24-21=3, Resulting Numbers: [18, 3]
Generated Node #0,0,2: 72:[18, 3] Operation: 24-21=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[24, 3], Operations: ['59-35=24', '21-18=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[18, 35, 59, 21], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [18, 21, 24]
Generated Node #0,0: 72:[18, 21, 24] Operation: 59-35=24
Moving to Node #0,0
Current State: 72:[18, 21, 24], Operations: ['59-35=24']
Exploring Operation: 21-18=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 72:[24, 3] Operation: 21-18=3
Moving to Node #0,0,0
Current State: 72:[24, 3], Operations: ['59-35=24', '21-18=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
sum_heuristic
|
[
72,
84,
52,
84
] | 28 |
[
"72+84=156",
"52*84=4368",
"4368/156=28"
] |
Current State: 28:[72, 84, 52, 84], Operations: []
Exploring Operation: 72+84=156, Resulting Numbers: [52, 156]
Generated Node #2: [52, 156] from Operation: 72+84=156
Current State: 28:[52, 156], Operations: ['72+84=156']
Exploring Operation: 52*84=4368, Resulting Numbers: [156, 4368]
Generated Node #3: [156, 4368] from Operation: 52*84=4368
Current State: 28:[156, 4368], Operations: ['72+84=156', '52*84=4368']
Exploring Operation: 4368/156=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
Current State: 28:[72, 84, 52, 84], Operations: []
Exploring Operation: 84-72=12, Resulting Numbers: [84, 52, 12]
Generated Node #0,0: 28:[84, 52, 12] Operation: 84-72=12
Exploring Operation: 84-84=0, Resulting Numbers: [72, 52, 0]
Generated Node #0,1: 28:[72, 52, 0] Operation: 84-84=0
Exploring Operation: 84-72=12, Resulting Numbers: [52, 84, 12]
Generated Node #0,2: 28:[52, 84, 12] Operation: 84-72=12
Exploring Operation: 84-52=32, Resulting Numbers: [72, 84, 32]
Generated Node #0,3: 28:[72, 84, 32] Operation: 84-52=32
Exploring Operation: 84/84=1, Resulting Numbers: [72, 52, 1]
Generated Node #0,4: 28:[72, 52, 1] Operation: 84/84=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 28:[72, 52, 1], Operations: ['84/84=1']
Exploring Operation: 72/1=72, Resulting Numbers: [52, 72]
Generated Node #0,4,0: 28:[52, 72] Operation: 72/1=72
Exploring Operation: 72-52=20, Resulting Numbers: [1, 20]
Generated Node #0,4,1: 28:[1, 20] Operation: 72-52=20
Exploring Operation: 72*1=72, Resulting Numbers: [52, 72]
Generated Node #0,4,2: 28:[52, 72] Operation: 72*1=72
Exploring Operation: 72-1=71, Resulting Numbers: [52, 71]
Generated Node #0,4,3: 28:[52, 71] Operation: 72-1=71
Exploring Operation: 52-1=51, Resulting Numbers: [72, 51]
Generated Node #0,4,4: 28:[72, 51] Operation: 52-1=51
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 28:[1, 20], Operations: ['84/84=1', '72-52=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 28:[52, 71], Operations: ['84/84=1', '72-1=71']
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 52+71=123, Resulting Numbers: [123]
123,28 unequal: No Solution
Exploring Operation: 52*71=3692, Resulting Numbers: [3692]
3692,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 28:[72, 51], Operations: ['84/84=1', '52-1=51']
Exploring Operation: 72*51=3672, Resulting Numbers: [3672]
3672,28 unequal: No Solution
Exploring Operation: 72+51=123, Resulting Numbers: [123]
123,28 unequal: No Solution
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 28:[52, 72], Operations: ['84/84=1', '72/1=72']
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,28 unequal: No Solution
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,28 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 28:[52, 72], Operations: ['84/84=1', '72*1=72']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,28 unequal: No Solution
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,28 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: 28:[72, 52, 0], Operations: ['84-84=0']
Exploring Operation: 72-52=20, Resulting Numbers: [0, 20]
Generated Node #0,1,0: 28:[0, 20] Operation: 72-52=20
Exploring Operation: 72*0=0, Resulting Numbers: [52, 0]
Generated Node #0,1,1: 28:[52, 0] Operation: 72*0=0
Exploring Operation: 52*0=0, Resulting Numbers: [72, 0]
Generated Node #0,1,2: 28:[72, 0] Operation: 52*0=0
Exploring Operation: 72-0=72, Resulting Numbers: [52, 72]
Generated Node #0,1,3: 28:[52, 72] Operation: 72-0=72
Exploring Operation: 72+0=72, Resulting Numbers: [52, 72]
Generated Node #0,1,4: 28:[52, 72] Operation: 72+0=72
Moving to Node #0,1,0
Current State: 28:[0, 20], Operations: ['84-84=0', '72-52=20']
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 0*20=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 0+20=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[52, 0], Operations: ['84-84=0', '72*0=0']
Exploring Operation: 52*0=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 52-0=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[72, 0], Operations: ['84-84=0', '52*0=0']
Exploring Operation: 72*0=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 72+0=72, Resulting Numbers: [72]
72,28 unequal: No Solution
Exploring Operation: 72-0=72, Resulting Numbers: [72]
72,28 unequal: No Solution
Moving to Node #0,1,3
Current State: 28:[52, 72], Operations: ['84-84=0', '72-0=72']
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,28 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,28 unequal: No Solution
Moving to Node #0,1,4
Current State: 28:[52, 72], Operations: ['84-84=0', '72+0=72']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,28 unequal: No Solution
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,28 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
Current State: 28:[84, 52, 12], Operations: ['84-72=12']
Exploring Operation: 84-52=32, Resulting Numbers: [12, 32]
Generated Node #0,0,0: 28:[12, 32] Operation: 84-52=32
Exploring Operation: 84+12=96, Resulting Numbers: [52, 96]
Generated Node #0,0,1: 28:[52, 96] Operation: 84+12=96
Exploring Operation: 84-12=72, Resulting Numbers: [52, 72]
Generated Node #0,0,2: 28:[52, 72] Operation: 84-12=72
Exploring Operation: 84/12=7, Resulting Numbers: [52, 7]
Generated Node #0,0,3: 28:[52, 7] Operation: 84/12=7
Exploring Operation: 52-12=40, Resulting Numbers: [84, 40]
Generated Node #0,0,4: 28:[84, 40] Operation: 52-12=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[12, 32], Operations: ['84-72=12', '84-52=32']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,28 unequal: No Solution
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 28:[52, 7], Operations: ['84-72=12', '84/12=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,28 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[52, 72], Operations: ['84-72=12', '84-12=72']
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,28 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 28:[84, 40], Operations: ['84-72=12', '52-12=40']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,28 unequal: No Solution
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,28 unequal: No Solution
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[52, 96], Operations: ['84-72=12', '84+12=96']
Exploring Operation: 52+96=148, Resulting Numbers: [148]
148,28 unequal: No Solution
Exploring Operation: 52*96=4992, Resulting Numbers: [4992]
4992,28 unequal: No Solution
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,28 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: 28:[52, 84, 12], Operations: ['84-72=12']
Exploring Operation: 84-52=32, Resulting Numbers: [12, 32]
Generated Node #0,2,0: 28:[12, 32] Operation: 84-52=32
Exploring Operation: 52-12=40, Resulting Numbers: [84, 40]
Generated Node #0,2,1: 28:[84, 40] Operation: 52-12=40
Exploring Operation: 84-12=72, Resulting Numbers: [52, 72]
Generated Node #0,2,2: 28:[52, 72] Operation: 84-12=72
Exploring Operation: 52+12=64, Resulting Numbers: [84, 64]
Generated Node #0,2,3: 28:[84, 64] Operation: 52+12=64
Exploring Operation: 84/12=7, Resulting Numbers: [52, 7]
Generated Node #0,2,4: 28:[52, 7] Operation: 84/12=7
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[12, 32], Operations: ['84-72=12', '84-52=32']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,28 unequal: No Solution
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 28:[52, 7], Operations: ['84-72=12', '84/12=7']
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,28 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[84, 40], Operations: ['84-72=12', '52-12=40']
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,28 unequal: No Solution
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,28 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[52, 72], Operations: ['84-72=12', '84-12=72']
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,28 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 28:[84, 64], Operations: ['84-72=12', '52+12=64']
Exploring Operation: 84*64=5376, Resulting Numbers: [5376]
5376,28 unequal: No Solution
Exploring Operation: 84+64=148, Resulting Numbers: [148]
148,28 unequal: No Solution
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,28 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: 28:[72, 84, 32], Operations: ['84-52=32']
Exploring Operation: 72-32=40, Resulting Numbers: [84, 40]
Generated Node #0,3,0: 28:[84, 40] Operation: 72-32=40
Exploring Operation: 72+32=104, Resulting Numbers: [84, 104]
Generated Node #0,3,1: 28:[84, 104] Operation: 72+32=104
Exploring Operation: 84-72=12, Resulting Numbers: [32, 12]
Generated Node #0,3,2: 28:[32, 12] Operation: 84-72=12
Exploring Operation: 72+84=156, Resulting Numbers: [32, 156]
Generated Node #0,3,3: 28:[32, 156] Operation: 72+84=156
Exploring Operation: 84-32=52, Resulting Numbers: [72, 52]
Generated Node #0,3,4: 28:[72, 52] Operation: 84-32=52
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 28:[32, 12], Operations: ['84-52=32', '84-72=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,28 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,28 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[84, 40], Operations: ['84-52=32', '72-32=40']
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,28 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,28 unequal: No Solution
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 28:[72, 52], Operations: ['84-52=32', '84-32=52']
Exploring Operation: 72*52=3744, Resulting Numbers: [3744]
3744,28 unequal: No Solution
Exploring Operation: 72+52=124, Resulting Numbers: [124]
124,28 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 28:[84, 104], Operations: ['84-52=32', '72+32=104']
Exploring Operation: 84+104=188, Resulting Numbers: [188]
188,28 unequal: No Solution
Exploring Operation: 84*104=8736, Resulting Numbers: [8736]
8736,28 unequal: No Solution
Exploring Operation: 104-84=20, Resulting Numbers: [20]
20,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 28:[32, 156], Operations: ['84-52=32', '72+84=156']
Exploring Operation: 156-32=124, Resulting Numbers: [124]
124,28 unequal: No Solution
Exploring Operation: 32+156=188, Resulting Numbers: [188]
188,28 unequal: No Solution
Exploring Operation: 32*156=4992, Resulting Numbers: [4992]
4992,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
97,
4,
92,
57
] | 68 |
[
"97-57=40",
"4*40=160",
"160-92=68"
] |
Current State: 68:[97, 4, 92, 57], Operations: []
Exploring Operation: 97-57=40, Resulting Numbers: [4, 92, 40]
Generated Node #2: [4, 92, 40] from Operation: 97-57=40
Current State: 68:[4, 92, 40], Operations: ['97-57=40']
Exploring Operation: 4*40=160, Resulting Numbers: [92, 160]
Generated Node #3: [92, 160] from Operation: 4*40=160
Current State: 68:[92, 160], Operations: ['97-57=40', '4*40=160']
Exploring Operation: 160-92=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[97, 4, 92, 57], Operations: []
Exploring Operation: 97-57=40, Resulting Numbers: [4, 92, 40]
Generated Node #0,0: 68:[4, 92, 40] Operation: 97-57=40
Exploring Operation: 97-92=5, Resulting Numbers: [4, 57, 5]
Generated Node #0,1: 68:[4, 57, 5] Operation: 97-92=5
Moving to Node #0,1
Current State: 68:[4, 57, 5], Operations: ['97-92=5']
Exploring Operation: 4+57=61, Resulting Numbers: [5, 61]
Generated Node #0,1,0: 68:[5, 61] Operation: 4+57=61
Exploring Operation: 57+5=62, Resulting Numbers: [4, 62]
Generated Node #0,1,1: 68:[4, 62] Operation: 57+5=62
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[4, 62], Operations: ['97-92=5', '57+5=62']
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,68 unequal: No Solution
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[5, 61], Operations: ['97-92=5', '4+57=61']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,68 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: 68:[4, 92, 40], Operations: ['97-57=40']
Exploring Operation: 92/4=23, Resulting Numbers: [40, 23]
Generated Node #0,0,0: 68:[40, 23] Operation: 92/4=23
Exploring Operation: 92-40=52, Resulting Numbers: [4, 52]
Generated Node #0,0,1: 68:[4, 52] Operation: 92-40=52
Moving to Node #0,0,0
Current State: 68:[40, 23], Operations: ['97-57=40', '92/4=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[4, 52], Operations: ['97-57=40', '92-40=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,68 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
77,
60,
6,
18
] | 80 |
[
"60-6=54",
"54/18=3",
"77+3=80"
] |
Current State: 80:[77, 60, 6, 18], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [77, 18, 54]
Generated Node #2: [77, 18, 54] from Operation: 60-6=54
Current State: 80:[77, 18, 54], Operations: ['60-6=54']
Exploring Operation: 54/18=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 54/18=3
Current State: 80:[77, 3], Operations: ['60-6=54', '54/18=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[77, 60, 6, 18], Operations: []
Exploring Operation: 60-18=42, Resulting Numbers: [77, 6, 42]
Generated Node #0,0: 80:[77, 6, 42] Operation: 60-18=42
Exploring Operation: 60/6=10, Resulting Numbers: [77, 18, 10]
Generated Node #0,1: 80:[77, 18, 10] Operation: 60/6=10
Exploring Operation: 77-60=17, Resulting Numbers: [6, 18, 17]
Generated Node #0,2: 80:[6, 18, 17] Operation: 77-60=17
Exploring Operation: 60+18=78, Resulting Numbers: [77, 6, 78]
Generated Node #0,3: 80:[77, 6, 78] Operation: 60+18=78
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[6, 18, 17], Operations: ['77-60=17']
Exploring Operation: 18/6=3, Resulting Numbers: [17, 3]
Generated Node #0,2,0: 80:[17, 3] Operation: 18/6=3
Exploring Operation: 18-17=1, Resulting Numbers: [6, 1]
Generated Node #0,2,1: 80:[6, 1] Operation: 18-17=1
Exploring Operation: 17-6=11, Resulting Numbers: [18, 11]
Generated Node #0,2,2: 80:[18, 11] Operation: 17-6=11
Exploring Operation: 18-6=12, Resulting Numbers: [17, 12]
Generated Node #0,2,3: 80:[17, 12] Operation: 18-6=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[17, 3], Operations: ['77-60=17', '18/6=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[6, 1], Operations: ['77-60=17', '18-17=1']
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[18, 11], Operations: ['77-60=17', '17-6=11']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 80:[17, 12], Operations: ['77-60=17', '18-6=12']
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,80 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,80 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: 80:[77, 18, 10], Operations: ['60/6=10']
Exploring Operation: 18+10=28, Resulting Numbers: [77, 28]
Generated Node #0,1,0: 80:[77, 28] Operation: 18+10=28
Exploring Operation: 77+10=87, Resulting Numbers: [18, 87]
Generated Node #0,1,1: 80:[18, 87] Operation: 77+10=87
Exploring Operation: 18-10=8, Resulting Numbers: [77, 8]
Generated Node #0,1,2: 80:[77, 8] Operation: 18-10=8
Exploring Operation: 77+18=95, Resulting Numbers: [10, 95]
Generated Node #0,1,3: 80:[10, 95] Operation: 77+18=95
Moving to Node #0,1,2
Current State: 80:[77, 8], Operations: ['60/6=10', '18-10=8']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,80 unequal: No Solution
Exploring Operation: 77*8=616, Resulting Numbers: [616]
616,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[18, 87], Operations: ['60/6=10', '77+10=87']
Exploring Operation: 18+87=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 18*87=1566, Resulting Numbers: [1566]
1566,80 unequal: No Solution
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[77, 28], Operations: ['60/6=10', '18+10=28']
Exploring Operation: 77*28=2156, Resulting Numbers: [2156]
2156,80 unequal: No Solution
Exploring Operation: 77+28=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[10, 95], Operations: ['60/6=10', '77+18=95']
Exploring Operation: 10*95=950, Resulting Numbers: [950]
950,80 unequal: No Solution
Exploring Operation: 95-10=85, Resulting Numbers: [85]
85,80 unequal: No Solution
Exploring Operation: 10+95=105, Resulting Numbers: [105]
105,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[77, 6, 42], Operations: ['60-18=42']
Exploring Operation: 77-42=35, Resulting Numbers: [6, 35]
Generated Node #0,0,0: 80:[6, 35] Operation: 77-42=35
Exploring Operation: 42-6=36, Resulting Numbers: [77, 36]
Generated Node #0,0,1: 80:[77, 36] Operation: 42-6=36
Exploring Operation: 77+6=83, Resulting Numbers: [42, 83]
Generated Node #0,0,2: 80:[42, 83] Operation: 77+6=83
Exploring Operation: 42/6=7, Resulting Numbers: [77, 7]
Generated Node #0,0,3: 80:[77, 7] Operation: 42/6=7
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 80:[77, 7], Operations: ['60-18=42', '42/6=7']
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,80 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,80 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[42, 83], Operations: ['60-18=42', '77+6=83']
Exploring Operation: 42+83=125, Resulting Numbers: [125]
125,80 unequal: No Solution
Exploring Operation: 42*83=3486, Resulting Numbers: [3486]
3486,80 unequal: No Solution
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[6, 35], Operations: ['60-18=42', '77-42=35']
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,80 unequal: No Solution
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[77, 36], Operations: ['60-18=42', '42-6=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,80 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,80 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: 80:[77, 6, 78], Operations: ['60+18=78']
Exploring Operation: 78-77=1, Resulting Numbers: [6, 1]
Generated Node #0,3,0: 80:[6, 1] Operation: 78-77=1
Exploring Operation: 6+78=84, Resulting Numbers: [77, 84]
Generated Node #0,3,1: 80:[77, 84] Operation: 6+78=84
Exploring Operation: 78/6=13, Resulting Numbers: [77, 13]
Generated Node #0,3,2: 80:[77, 13] Operation: 78/6=13
Exploring Operation: 77+6=83, Resulting Numbers: [78, 83]
Generated Node #0,3,3: 80:[78, 83] Operation: 77+6=83
Moving to Node #0,3,0
Current State: 80:[6, 1], Operations: ['60+18=78', '78-77=1']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[78, 83], Operations: ['60+18=78', '77+6=83']
Exploring Operation: 78+83=161, Resulting Numbers: [161]
161,80 unequal: No Solution
Exploring Operation: 78*83=6474, Resulting Numbers: [6474]
6474,80 unequal: No Solution
Exploring Operation: 83-78=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[77, 13], Operations: ['60+18=78', '78/6=13']
Exploring Operation: 77*13=1001, Resulting Numbers: [1001]
1001,80 unequal: No Solution
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 77-13=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[77, 84], Operations: ['60+18=78', '6+78=84']
Exploring Operation: 84-77=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 77+84=161, Resulting Numbers: [161]
161,80 unequal: No Solution
Exploring Operation: 77*84=6468, Resulting Numbers: [6468]
6468,80 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
|
[
11,
64,
22,
21
] | 75 |
[
"11+64=75",
"22-21=1",
"75*1=75"
] |
Current State: 75:[11, 64, 22, 21], Operations: []
Exploring Operation: 11+64=75, Resulting Numbers: [22, 21, 75]
Generated Node #2: [22, 21, 75] from Operation: 11+64=75
Current State: 75:[22, 21, 75], Operations: ['11+64=75']
Exploring Operation: 22-21=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 22-21=1
Current State: 75:[75, 1], Operations: ['11+64=75', '22-21=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[11, 64, 22, 21], Operations: []
Exploring Operation: 64+21=85, Resulting Numbers: [11, 22, 85]
Generated Node #0,0: 75:[11, 22, 85] Operation: 64+21=85
Exploring Operation: 22-21=1, Resulting Numbers: [11, 64, 1]
Generated Node #0,1: 75:[11, 64, 1] Operation: 22-21=1
Exploring Operation: 22-11=11, Resulting Numbers: [64, 21, 11]
Generated Node #0,2: 75:[64, 21, 11] Operation: 22-11=11
Exploring Operation: 11+64=75, Resulting Numbers: [22, 21, 75]
Generated Node #0,3: 75:[22, 21, 75] Operation: 11+64=75
Exploring Operation: 22/11=2, Resulting Numbers: [64, 21, 2]
Generated Node #0,4: 75:[64, 21, 2] Operation: 22/11=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[22, 21, 75], Operations: ['11+64=75']
Exploring Operation: 22+75=97, Resulting Numbers: [21, 97]
Generated Node #0,3,0: 75:[21, 97] Operation: 22+75=97
Exploring Operation: 75-21=54, Resulting Numbers: [22, 54]
Generated Node #0,3,1: 75:[22, 54] Operation: 75-21=54
Exploring Operation: 22-21=1, Resulting Numbers: [75, 1]
Generated Node #0,3,2: 75:[75, 1] Operation: 22-21=1
Exploring Operation: 22+21=43, Resulting Numbers: [75, 43]
Generated Node #0,3,3: 75:[75, 43] Operation: 22+21=43
Exploring Operation: 21+75=96, Resulting Numbers: [22, 96]
Generated Node #0,3,4: 75:[22, 96] Operation: 21+75=96
Moving to Node #0,3,2
Current State: 75:[75, 1], Operations: ['11+64=75', '22-21=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[11, 64, 22, 21], Operations: []
Exploring Operation: 11+64=75, Resulting Numbers: [22, 21, 75]
Generated Node #0,3: 75:[22, 21, 75] Operation: 11+64=75
Moving to Node #0,3
Current State: 75:[22, 21, 75], Operations: ['11+64=75']
Exploring Operation: 22-21=1, Resulting Numbers: [75, 1]
Generated Node #0,3,2: 75:[75, 1] Operation: 22-21=1
Moving to Node #0,3,2
Current State: 75:[75, 1], Operations: ['11+64=75', '22-21=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
mult_heuristic
|
[
90,
10,
74,
30
] | 53 |
[
"90/10=9",
"74-30=44",
"9+44=53"
] |
Current State: 53:[90, 10, 74, 30], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [74, 30, 9]
Generated Node #2: [74, 30, 9] from Operation: 90/10=9
Current State: 53:[74, 30, 9], Operations: ['90/10=9']
Exploring Operation: 74-30=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 74-30=44
Current State: 53:[9, 44], Operations: ['90/10=9', '74-30=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[90, 10, 74, 30], Operations: []
Exploring Operation: 90-10=80, Resulting Numbers: [74, 30, 80]
Generated Node #0,0: 53:[74, 30, 80] Operation: 90-10=80
Exploring Operation: 74-10=64, Resulting Numbers: [90, 30, 64]
Generated Node #0,1: 53:[90, 30, 64] Operation: 74-10=64
Exploring Operation: 10+30=40, Resulting Numbers: [90, 74, 40]
Generated Node #0,2: 53:[90, 74, 40] Operation: 10+30=40
Exploring Operation: 90/10=9, Resulting Numbers: [74, 30, 9]
Generated Node #0,3: 53:[74, 30, 9] Operation: 90/10=9
Exploring Operation: 90-30=60, Resulting Numbers: [10, 74, 60]
Generated Node #0,4: 53:[10, 74, 60] Operation: 90-30=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[74, 30, 80], Operations: ['90-10=80']
Exploring Operation: 74-30=44, Resulting Numbers: [80, 44]
Generated Node #0,0,0: 53:[80, 44] Operation: 74-30=44
Exploring Operation: 80-74=6, Resulting Numbers: [30, 6]
Generated Node #0,0,1: 53:[30, 6] Operation: 80-74=6
Exploring Operation: 80-30=50, Resulting Numbers: [74, 50]
Generated Node #0,0,2: 53:[74, 50] Operation: 80-30=50
Exploring Operation: 30+80=110, Resulting Numbers: [74, 110]
Generated Node #0,0,3: 53:[74, 110] Operation: 30+80=110
Exploring Operation: 74+30=104, Resulting Numbers: [80, 104]
Generated Node #0,0,4: 53:[80, 104] Operation: 74+30=104
Moving to Node #0,0,2
Current State: 53:[74, 50], Operations: ['90-10=80', '80-30=50']
Exploring Operation: 74+50=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 74*50=3700, Resulting Numbers: [3700]
3700,53 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[80, 44], Operations: ['90-10=80', '74-30=44']
Exploring Operation: 80*44=3520, Resulting Numbers: [3520]
3520,53 unequal: No Solution
Exploring Operation: 80+44=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[30, 6], Operations: ['90-10=80', '80-74=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,53 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,53 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[74, 110], Operations: ['90-10=80', '30+80=110']
Exploring Operation: 74+110=184, Resulting Numbers: [184]
184,53 unequal: No Solution
Exploring Operation: 74*110=8140, Resulting Numbers: [8140]
8140,53 unequal: No Solution
Exploring Operation: 110-74=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Moving to Node #0,0,4
Current State: 53:[80, 104], Operations: ['90-10=80', '74+30=104']
Exploring Operation: 80*104=8320, Resulting Numbers: [8320]
8320,53 unequal: No Solution
Exploring Operation: 80+104=184, Resulting Numbers: [184]
184,53 unequal: No Solution
Exploring Operation: 104-80=24, Resulting Numbers: [24]
24,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[90, 30, 64], Operations: ['74-10=64']
Exploring Operation: 64-30=34, Resulting Numbers: [90, 34]
Generated Node #0,1,0: 53:[90, 34] Operation: 64-30=34
Exploring Operation: 90-64=26, Resulting Numbers: [30, 26]
Generated Node #0,1,1: 53:[30, 26] Operation: 90-64=26
Exploring Operation: 90-30=60, Resulting Numbers: [64, 60]
Generated Node #0,1,2: 53:[64, 60] Operation: 90-30=60
Exploring Operation: 90+30=120, Resulting Numbers: [64, 120]
Generated Node #0,1,3: 53:[64, 120] Operation: 90+30=120
Exploring Operation: 90/30=3, Resulting Numbers: [64, 3]
Generated Node #0,1,4: 53:[64, 3] Operation: 90/30=3
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 53:[64, 60], Operations: ['74-10=64', '90-30=60']
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,53 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[30, 26], Operations: ['74-10=64', '90-64=26']
Exploring Operation: 30*26=780, Resulting Numbers: [780]
780,53 unequal: No Solution
Exploring Operation: 30+26=56, Resulting Numbers: [56]
56,53 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[90, 34], Operations: ['74-10=64', '64-30=34']
Exploring Operation: 90+34=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 90*34=3060, Resulting Numbers: [3060]
3060,53 unequal: No Solution
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 53:[64, 3], Operations: ['74-10=64', '90/30=3']
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,53 unequal: No Solution
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 53:[64, 120], Operations: ['74-10=64', '90+30=120']
Exploring Operation: 64+120=184, Resulting Numbers: [184]
184,53 unequal: No Solution
Exploring Operation: 64*120=7680, Resulting Numbers: [7680]
7680,53 unequal: No Solution
Exploring Operation: 120-64=56, Resulting Numbers: [56]
56,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[90, 74, 40], Operations: ['10+30=40']
Exploring Operation: 90-74=16, Resulting Numbers: [40, 16]
Generated Node #0,2,0: 53:[40, 16] Operation: 90-74=16
Exploring Operation: 74+40=114, Resulting Numbers: [90, 114]
Generated Node #0,2,1: 53:[90, 114] Operation: 74+40=114
Exploring Operation: 74-40=34, Resulting Numbers: [90, 34]
Generated Node #0,2,2: 53:[90, 34] Operation: 74-40=34
Exploring Operation: 90+40=130, Resulting Numbers: [74, 130]
Generated Node #0,2,3: 53:[74, 130] Operation: 90+40=130
Exploring Operation: 90-40=50, Resulting Numbers: [74, 50]
Generated Node #0,2,4: 53:[74, 50] Operation: 90-40=50
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 53:[74, 50], Operations: ['10+30=40', '90-40=50']
Exploring Operation: 74*50=3700, Resulting Numbers: [3700]
3700,53 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Exploring Operation: 74+50=124, Resulting Numbers: [124]
124,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 53:[40, 16], Operations: ['10+30=40', '90-74=16']
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,53 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 53:[90, 34], Operations: ['10+30=40', '74-40=34']
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,53 unequal: No Solution
Exploring Operation: 90*34=3060, Resulting Numbers: [3060]
3060,53 unequal: No Solution
Exploring Operation: 90+34=124, Resulting Numbers: [124]
124,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[90, 114], Operations: ['10+30=40', '74+40=114']
Exploring Operation: 114-90=24, Resulting Numbers: [24]
24,53 unequal: No Solution
Exploring Operation: 90+114=204, Resulting Numbers: [204]
204,53 unequal: No Solution
Exploring Operation: 90*114=10260, Resulting Numbers: [10260]
10260,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 53:[74, 130], Operations: ['10+30=40', '90+40=130']
Exploring Operation: 74+130=204, Resulting Numbers: [204]
204,53 unequal: No Solution
Exploring Operation: 130-74=56, Resulting Numbers: [56]
56,53 unequal: No Solution
Exploring Operation: 74*130=9620, Resulting Numbers: [9620]
9620,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 53:[10, 74, 60], Operations: ['90-30=60']
Exploring Operation: 60/10=6, Resulting Numbers: [74, 6]
Generated Node #0,4,0: 53:[74, 6] Operation: 60/10=6
Exploring Operation: 10+60=70, Resulting Numbers: [74, 70]
Generated Node #0,4,1: 53:[74, 70] Operation: 10+60=70
Exploring Operation: 74-10=64, Resulting Numbers: [60, 64]
Generated Node #0,4,2: 53:[60, 64] Operation: 74-10=64
Exploring Operation: 60-10=50, Resulting Numbers: [74, 50]
Generated Node #0,4,3: 53:[74, 50] Operation: 60-10=50
Exploring Operation: 10+74=84, Resulting Numbers: [60, 84]
Generated Node #0,4,4: 53:[60, 84] Operation: 10+74=84
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 53:[60, 64], Operations: ['90-30=60', '74-10=64']
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,53 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 53:[74, 50], Operations: ['90-30=60', '60-10=50']
Exploring Operation: 74+50=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 74*50=3700, Resulting Numbers: [3700]
3700,53 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 53:[74, 70], Operations: ['90-30=60', '10+60=70']
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 74+70=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 74*70=5180, Resulting Numbers: [5180]
5180,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 53:[60, 84], Operations: ['90-30=60', '10+74=84']
Exploring Operation: 60*84=5040, Resulting Numbers: [5040]
5040,53 unequal: No Solution
Exploring Operation: 60+84=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 53:[74, 6], Operations: ['90-30=60', '60/10=6']
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Exploring Operation: 74*6=444, Resulting Numbers: [444]
444,53 unequal: No Solution
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 53:[74, 30, 9], Operations: ['90/10=9']
Exploring Operation: 30-9=21, Resulting Numbers: [74, 21]
Generated Node #0,3,0: 53:[74, 21] Operation: 30-9=21
Exploring Operation: 74+9=83, Resulting Numbers: [30, 83]
Generated Node #0,3,1: 53:[30, 83] Operation: 74+9=83
Exploring Operation: 30+9=39, Resulting Numbers: [74, 39]
Generated Node #0,3,2: 53:[74, 39] Operation: 30+9=39
Exploring Operation: 74-9=65, Resulting Numbers: [30, 65]
Generated Node #0,3,3: 53:[30, 65] Operation: 74-9=65
Exploring Operation: 74-30=44, Resulting Numbers: [9, 44]
Generated Node #0,3,4: 53:[9, 44] Operation: 74-30=44
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 53:[74, 39], Operations: ['90/10=9', '30+9=39']
Exploring Operation: 74*39=2886, Resulting Numbers: [2886]
2886,53 unequal: No Solution
Exploring Operation: 74-39=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 74+39=113, Resulting Numbers: [113]
113,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 53:[30, 65], Operations: ['90/10=9', '74-9=65']
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,53 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 53:[74, 21], Operations: ['90/10=9', '30-9=21']
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,53 unequal: No Solution
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,53 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[90, 10, 74, 30], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [74, 30, 9]
Generated Node #0,3: 53:[74, 30, 9] Operation: 90/10=9
Moving to Node #0,3
Current State: 53:[74, 30, 9], Operations: ['90/10=9']
Exploring Operation: 30-9=21, Resulting Numbers: [74, 21]
Generated Node #0,3,0: 53:[74, 21] Operation: 30-9=21
Moving to Node #0,3,0
Current State: 53:[74, 21], Operations: ['90/10=9', '30-9=21']
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.909722 |
hs_5
|
mult_heuristic
|
[
64,
78,
88,
8
] | 94 |
[
"78-64=14",
"88-8=80",
"14+80=94"
] |
Current State: 94:[64, 78, 88, 8], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [88, 8, 14]
Generated Node #2: [88, 8, 14] from Operation: 78-64=14
Current State: 94:[88, 8, 14], Operations: ['78-64=14']
Exploring Operation: 88-8=80, Resulting Numbers: [14, 80]
Generated Node #3: [14, 80] from Operation: 88-8=80
Current State: 94:[14, 80], Operations: ['78-64=14', '88-8=80']
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[64, 78, 88, 8], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [88, 8, 14]
Generated Node #0,0: 94:[88, 8, 14] Operation: 78-64=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[88, 8, 14], Operations: ['78-64=14']
Exploring Operation: 14-8=6, Resulting Numbers: [88, 6]
Generated Node #0,0,0: 94:[88, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 94:[88, 6], Operations: ['78-64=14', '14-8=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[64, 78, 88, 8], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [88, 8, 14]
Generated Node #0,0: 94:[88, 8, 14] Operation: 78-64=14
Moving to Node #0,0
Current State: 94:[88, 8, 14], Operations: ['78-64=14']
Exploring Operation: 14-8=6, Resulting Numbers: [88, 6]
Generated Node #0,0,0: 94:[88, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 94:[88, 6], Operations: ['78-64=14', '14-8=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
78,
88,
29,
56
] | 95 |
[
"88-78=10",
"29+56=85",
"10+85=95"
] |
Current State: 95:[78, 88, 29, 56], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [29, 56, 10]
Generated Node #2: [29, 56, 10] from Operation: 88-78=10
Current State: 95:[29, 56, 10], Operations: ['88-78=10']
Exploring Operation: 29+56=85, Resulting Numbers: [10, 85]
Generated Node #3: [10, 85] from Operation: 29+56=85
Current State: 95:[10, 85], Operations: ['88-78=10', '29+56=85']
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[78, 88, 29, 56], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [29, 56, 10]
Generated Node #0,0: 95:[29, 56, 10] Operation: 88-78=10
Exploring Operation: 29+56=85, Resulting Numbers: [78, 88, 85]
Generated Node #0,1: 95:[78, 88, 85] Operation: 29+56=85
Exploring Operation: 78-56=22, Resulting Numbers: [88, 29, 22]
Generated Node #0,2: 95:[88, 29, 22] Operation: 78-56=22
Exploring Operation: 56-29=27, Resulting Numbers: [78, 88, 27]
Generated Node #0,3: 95:[78, 88, 27] Operation: 56-29=27
Exploring Operation: 88-56=32, Resulting Numbers: [78, 29, 32]
Generated Node #0,4: 95:[78, 29, 32] Operation: 88-56=32
Moving to Node #0,2
Current State: 95:[88, 29, 22], Operations: ['78-56=22']
Exploring Operation: 88/22=4, Resulting Numbers: [29, 4]
Generated Node #0,2,0: 95:[29, 4] Operation: 88/22=4
Exploring Operation: 88+29=117, Resulting Numbers: [22, 117]
Generated Node #0,2,1: 95:[22, 117] Operation: 88+29=117
Exploring Operation: 88-29=59, Resulting Numbers: [22, 59]
Generated Node #0,2,2: 95:[22, 59] Operation: 88-29=59
Exploring Operation: 29-22=7, Resulting Numbers: [88, 7]
Generated Node #0,2,3: 95:[88, 7] Operation: 29-22=7
Exploring Operation: 88+22=110, Resulting Numbers: [29, 110]
Generated Node #0,2,4: 95:[29, 110] Operation: 88+22=110
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 95:[88, 7], Operations: ['78-56=22', '29-22=7']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Exploring Operation: 88*7=616, Resulting Numbers: [616]
616,95 unequal: No Solution
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[78, 88, 29, 56], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [88, 29, 22]
Generated Node #0,2: 95:[88, 29, 22] Operation: 78-56=22
Moving to Node #0,2
Current State: 95:[88, 29, 22], Operations: ['78-56=22']
Exploring Operation: 29-22=7, Resulting Numbers: [88, 7]
Generated Node #0,2,3: 95:[88, 7] Operation: 29-22=7
Moving to Node #0,2,3
Current State: 95:[88, 7], Operations: ['78-56=22', '29-22=7']
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
sum_heuristic
|
[
92,
42,
92,
51
] | 51 |
[
"92-92=0",
"42*0=0",
"51+0=51"
] |
Current State: 51:[92, 42, 92, 51], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [42, 51, 0]
Generated Node #2: [42, 51, 0] from Operation: 92-92=0
Current State: 51:[42, 51, 0], Operations: ['92-92=0']
Exploring Operation: 42*0=0, Resulting Numbers: [51, 0]
Generated Node #3: [51, 0] from Operation: 42*0=0
Current State: 51:[51, 0], Operations: ['92-92=0', '42*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[92, 42, 92, 51], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [42, 51, 0]
Generated Node #0,0: 51:[42, 51, 0] Operation: 92-92=0
Exploring Operation: 92-42=50, Resulting Numbers: [92, 51, 50]
Generated Node #0,1: 51:[92, 51, 50] Operation: 92-42=50
Exploring Operation: 92/92=1, Resulting Numbers: [42, 51, 1]
Generated Node #0,2: 51:[42, 51, 1] Operation: 92/92=1
Exploring Operation: 92-42=50, Resulting Numbers: [92, 51, 50]
Generated Node #0,3: 51:[92, 51, 50] Operation: 92-42=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[42, 51, 1], Operations: ['92/92=1']
Exploring Operation: 42*1=42, Resulting Numbers: [51, 42]
Generated Node #0,2,0: 51:[51, 42] Operation: 42*1=42
Exploring Operation: 42/1=42, Resulting Numbers: [51, 42]
Generated Node #0,2,1: 51:[51, 42] Operation: 42/1=42
Exploring Operation: 51-42=9, Resulting Numbers: [1, 9]
Generated Node #0,2,2: 51:[1, 9] Operation: 51-42=9
Exploring Operation: 42+1=43, Resulting Numbers: [51, 43]
Generated Node #0,2,3: 51:[51, 43] Operation: 42+1=43
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[1, 9], Operations: ['92/92=1', '51-42=9']
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,51 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 #0,2,3
Current State: 51:[51, 43], Operations: ['92/92=1', '42+1=43']
Exploring Operation: 51+43=94, Resulting Numbers: [94]
94,51 unequal: No Solution
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 51*43=2193, Resulting Numbers: [2193]
2193,51 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:[51, 42], Operations: ['92/92=1', '42*1=42']
Exploring Operation: 51+42=93, Resulting Numbers: [93]
93,51 unequal: No Solution
Exploring Operation: 51*42=2142, Resulting Numbers: [2142]
2142,51 unequal: No Solution
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,51 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 #0,2,1
Current State: 51:[51, 42], Operations: ['92/92=1', '42/1=42']
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 51+42=93, Resulting Numbers: [93]
93,51 unequal: No Solution
Exploring Operation: 51*42=2142, Resulting Numbers: [2142]
2142,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[42, 51, 0], Operations: ['92-92=0']
Exploring Operation: 42*0=0, Resulting Numbers: [51, 0]
Generated Node #0,0,0: 51:[51, 0] Operation: 42*0=0
Exploring Operation: 51-42=9, Resulting Numbers: [0, 9]
Generated Node #0,0,1: 51:[0, 9] Operation: 51-42=9
Exploring Operation: 42-0=42, Resulting Numbers: [51, 42]
Generated Node #0,0,2: 51:[51, 42] Operation: 42-0=42
Exploring Operation: 42+0=42, Resulting Numbers: [51, 42]
Generated Node #0,0,3: 51:[51, 42] Operation: 42+0=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[51, 0], Operations: ['92-92=0', '42*0=0']
Exploring Operation: 51*0=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[92, 42, 92, 51], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [42, 51, 0]
Generated Node #0,0: 51:[42, 51, 0] Operation: 92-92=0
Moving to Node #0,0
Current State: 51:[42, 51, 0], Operations: ['92-92=0']
Exploring Operation: 42*0=0, Resulting Numbers: [51, 0]
Generated Node #0,0,0: 51:[51, 0] Operation: 42*0=0
Moving to Node #0,0,0
Current State: 51:[51, 0], Operations: ['92-92=0', '42*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 |
hs_4
|
sum_heuristic
|
[
38,
6,
30,
26
] | 60 |
[
"38-26=12",
"30/6=5",
"12*5=60"
] |
Current State: 60:[38, 6, 30, 26], Operations: []
Exploring Operation: 38-26=12, Resulting Numbers: [6, 30, 12]
Generated Node #2: [6, 30, 12] from Operation: 38-26=12
Current State: 60:[6, 30, 12], Operations: ['38-26=12']
Exploring Operation: 30/6=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 30/6=5
Current State: 60:[12, 5], Operations: ['38-26=12', '30/6=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[38, 6, 30, 26], Operations: []
Exploring Operation: 38+26=64, Resulting Numbers: [6, 30, 64]
Generated Node #0,0: 60:[6, 30, 64] Operation: 38+26=64
Exploring Operation: 38-26=12, Resulting Numbers: [6, 30, 12]
Generated Node #0,1: 60:[6, 30, 12] Operation: 38-26=12
Exploring Operation: 38-6=32, Resulting Numbers: [30, 26, 32]
Generated Node #0,2: 60:[30, 26, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[6, 30, 12], Operations: ['38-26=12']
Exploring Operation: 12-6=6, Resulting Numbers: [30, 6]
Generated Node #0,1,0: 60:[30, 6] Operation: 12-6=6
Exploring Operation: 30/6=5, Resulting Numbers: [12, 5]
Generated Node #0,1,1: 60:[12, 5] Operation: 30/6=5
Exploring Operation: 12/6=2, Resulting Numbers: [30, 2]
Generated Node #0,1,2: 60:[30, 2] Operation: 12/6=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[30, 6], Operations: ['38-26=12', '12-6=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,60 unequal: No Solution
No 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: 60:[12, 5], Operations: ['38-26=12', '30/6=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[38, 6, 30, 26], Operations: []
Exploring Operation: 38-26=12, Resulting Numbers: [6, 30, 12]
Generated Node #0,1: 60:[6, 30, 12] Operation: 38-26=12
Moving to Node #0,1
Current State: 60:[6, 30, 12], Operations: ['38-26=12']
Exploring Operation: 30/6=5, Resulting Numbers: [12, 5]
Generated Node #0,1,1: 60:[12, 5] Operation: 30/6=5
Moving to Node #0,1,1
Current State: 60:[12, 5], Operations: ['38-26=12', '30/6=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 |
hs_3
|
sum_heuristic
|
[
8,
6,
97,
17
] | 15 |
[
"6+97=103",
"17+103=120",
"120/8=15"
] |
Current State: 15:[8, 6, 97, 17], Operations: []
Exploring Operation: 6+97=103, Resulting Numbers: [8, 17, 103]
Generated Node #2: [8, 17, 103] from Operation: 6+97=103
Current State: 15:[8, 17, 103], Operations: ['6+97=103']
Exploring Operation: 17+103=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 17+103=120
Current State: 15:[8, 120], Operations: ['6+97=103', '17+103=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[8, 6, 97, 17], Operations: []
Exploring Operation: 97-17=80, Resulting Numbers: [8, 6, 80]
Generated Node #0,0: 15:[8, 6, 80] Operation: 97-17=80
Exploring Operation: 97-8=89, Resulting Numbers: [6, 17, 89]
Generated Node #0,1: 15:[6, 17, 89] Operation: 97-8=89
Exploring Operation: 97-6=91, Resulting Numbers: [8, 17, 91]
Generated Node #0,2: 15:[8, 17, 91] Operation: 97-6=91
Exploring Operation: 8+6=14, Resulting Numbers: [97, 17, 14]
Generated Node #0,3: 15:[97, 17, 14] Operation: 8+6=14
Moving to Node #0,0
Current State: 15:[8, 6, 80], Operations: ['97-17=80']
Exploring Operation: 80/8=10, Resulting Numbers: [6, 10]
Generated Node #0,0,0: 15:[6, 10] Operation: 80/8=10
Exploring Operation: 8+6=14, Resulting Numbers: [80, 14]
Generated Node #0,0,1: 15:[80, 14] Operation: 8+6=14
Exploring Operation: 80-8=72, Resulting Numbers: [6, 72]
Generated Node #0,0,2: 15:[6, 72] Operation: 80-8=72
Exploring Operation: 80-6=74, Resulting Numbers: [8, 74]
Generated Node #0,0,3: 15:[8, 74] Operation: 80-6=74
Moving to Node #0,1
Current State: 15:[6, 17, 89], Operations: ['97-8=89']
Exploring Operation: 17-6=11, Resulting Numbers: [89, 11]
Generated Node #0,1,0: 15:[89, 11] Operation: 17-6=11
Exploring Operation: 89-6=83, Resulting Numbers: [17, 83]
Generated Node #0,1,1: 15:[17, 83] Operation: 89-6=83
Exploring Operation: 6+17=23, Resulting Numbers: [89, 23]
Generated Node #0,1,2: 15:[89, 23] Operation: 6+17=23
Exploring Operation: 89-17=72, Resulting Numbers: [6, 72]
Generated Node #0,1,3: 15:[6, 72] Operation: 89-17=72
Moving to Node #0,2
Current State: 15:[8, 17, 91], Operations: ['97-6=91']
Exploring Operation: 8+17=25, Resulting Numbers: [91, 25]
Generated Node #0,2,0: 15:[91, 25] Operation: 8+17=25
Exploring Operation: 91-8=83, Resulting Numbers: [17, 83]
Generated Node #0,2,1: 15:[17, 83] Operation: 91-8=83
Exploring Operation: 91-17=74, Resulting Numbers: [8, 74]
Generated Node #0,2,2: 15:[8, 74] Operation: 91-17=74
Exploring Operation: 17-8=9, Resulting Numbers: [91, 9]
Generated Node #0,2,3: 15:[91, 9] Operation: 17-8=9
Moving to Node #0,3
Current State: 15:[97, 17, 14], Operations: ['8+6=14']
Exploring Operation: 97+14=111, Resulting Numbers: [17, 111]
Generated Node #0,3,0: 15:[17, 111] Operation: 97+14=111
Exploring Operation: 97-17=80, Resulting Numbers: [14, 80]
Generated Node #0,3,1: 15:[14, 80] Operation: 97-17=80
Exploring Operation: 97-14=83, Resulting Numbers: [17, 83]
Generated Node #0,3,2: 15:[17, 83] Operation: 97-14=83
Exploring Operation: 17-14=3, Resulting Numbers: [97, 3]
Generated Node #0,3,3: 15:[97, 3] Operation: 17-14=3
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[14, 80], Operations: ['8+6=14', '97-17=80']
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 14*80=1120, Resulting Numbers: [1120]
1120,15 unequal: No Solution
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,15 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 #0,3,2
Current State: 15:[17, 83], Operations: ['8+6=14', '97-14=83']
Exploring Operation: 17+83=100, Resulting Numbers: [100]
100,15 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 17*83=1411, Resulting Numbers: [1411]
1411,15 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 #0,3,3
Current State: 15:[97, 3], Operations: ['8+6=14', '17-14=3']
Exploring Operation: 97*3=291, Resulting Numbers: [291]
291,15 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,15 unequal: No Solution
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,15 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 #0,3,0
Current State: 15:[17, 111], Operations: ['8+6=14', '97+14=111']
Exploring Operation: 17+111=128, Resulting Numbers: [128]
128,15 unequal: No Solution
Exploring Operation: 111-17=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Exploring Operation: 17*111=1887, Resulting Numbers: [1887]
1887,15 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: 15:[6, 10], Operations: ['97-17=80', '80/8=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[6, 72], Operations: ['97-17=80', '80-8=72']
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,15 unequal: No Solution
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[6, 72], Operations: ['97-8=89', '89-17=72']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,15 unequal: No Solution
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,15 unequal: No Solution
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[8, 74], Operations: ['97-17=80', '80-6=74']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 8*74=592, Resulting Numbers: [592]
592,15 unequal: No Solution
Exploring Operation: 8+74=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[8, 74], Operations: ['97-6=91', '91-17=74']
Exploring Operation: 8+74=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 8*74=592, Resulting Numbers: [592]
592,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[80, 14], Operations: ['97-17=80', '8+6=14']
Exploring Operation: 80*14=1120, Resulting Numbers: [1120]
1120,15 unequal: No Solution
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[17, 83], Operations: ['97-8=89', '89-6=83']
Exploring Operation: 17+83=100, Resulting Numbers: [100]
100,15 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 17*83=1411, Resulting Numbers: [1411]
1411,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[17, 83], Operations: ['97-6=91', '91-8=83']
Exploring Operation: 17+83=100, Resulting Numbers: [100]
100,15 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 17*83=1411, Resulting Numbers: [1411]
1411,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[89, 11], Operations: ['97-8=89', '17-6=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,15 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,15 unequal: No Solution
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[91, 9], Operations: ['97-6=91', '17-8=9']
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,15 unequal: No Solution
Exploring Operation: 91*9=819, Resulting Numbers: [819]
819,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[89, 23], Operations: ['97-8=89', '6+17=23']
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 89*23=2047, Resulting Numbers: [2047]
2047,15 unequal: No Solution
Exploring Operation: 89+23=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[91, 25], Operations: ['97-6=91', '8+17=25']
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 91+25=116, Resulting Numbers: [116]
116,15 unequal: No Solution
Exploring Operation: 91*25=2275, Resulting Numbers: [2275]
2275,15 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
72,
93,
24,
24
] | 55 |
[
"72/24=3",
"93/3=31",
"24+31=55"
] |
Current State: 55:[72, 93, 24, 24], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [93, 3]
Generated Node #2: [93, 3] from Operation: 72/24=3
Current State: 55:[93, 3], Operations: ['72/24=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,55 equal: Goal Reached
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[72, 93, 24, 24], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [24, 24, 21]
Generated Node #0,0: 55:[24, 24, 21] Operation: 93-72=21
Exploring Operation: 93-24=69, Resulting Numbers: [72, 24, 69]
Generated Node #0,1: 55:[72, 24, 69] Operation: 93-24=69
Exploring Operation: 93-24=69, Resulting Numbers: [72, 24, 69]
Generated Node #0,2: 55:[72, 24, 69] Operation: 93-24=69
Exploring Operation: 72/24=3, Resulting Numbers: [93, 24, 3]
Generated Node #0,3: 55:[93, 24, 3] Operation: 72/24=3
Moving to Node #0,0
Current State: 55:[24, 24, 21], Operations: ['93-72=21']
Exploring Operation: 24-21=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 55:[24, 3] Operation: 24-21=3
Exploring Operation: 24/24=1, Resulting Numbers: [21, 1]
Generated Node #0,0,1: 55:[21, 1] Operation: 24/24=1
Exploring Operation: 24-24=0, Resulting Numbers: [21, 0]
Generated Node #0,0,2: 55:[21, 0] Operation: 24-24=0
Exploring Operation: 24-21=3, Resulting Numbers: [24, 3]
Generated Node #0,0,3: 55:[24, 3] Operation: 24-21=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[21, 1], Operations: ['93-72=21', '24/24=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[24, 3], Operations: ['93-72=21', '24-21=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[21, 0], Operations: ['93-72=21', '24-24=0']
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 21-0=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 55:[24, 3], Operations: ['93-72=21', '24-21=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,55 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: 55:[72, 24, 69], Operations: ['93-24=69']
Exploring Operation: 69-24=45, Resulting Numbers: [72, 45]
Generated Node #0,2,0: 55:[72, 45] Operation: 69-24=45
Exploring Operation: 72/24=3, Resulting Numbers: [69, 3]
Generated Node #0,2,1: 55:[69, 3] Operation: 72/24=3
Exploring Operation: 72-69=3, Resulting Numbers: [24, 3]
Generated Node #0,2,2: 55:[24, 3] Operation: 72-69=3
Exploring Operation: 72-24=48, Resulting Numbers: [69, 48]
Generated Node #0,2,3: 55:[69, 48] Operation: 72-24=48
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 55:[24, 3], Operations: ['93-24=69', '72-69=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 55:[69, 3], Operations: ['93-24=69', '72/24=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,55 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 55:[69, 48], Operations: ['93-24=69', '72-24=48']
Exploring Operation: 69*48=3312, Resulting Numbers: [3312]
3312,55 unequal: No Solution
Exploring Operation: 69+48=117, Resulting Numbers: [117]
117,55 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 55:[72, 45], Operations: ['93-24=69', '69-24=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 72*45=3240, Resulting Numbers: [3240]
3240,55 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 55:[72, 24, 69], Operations: ['93-24=69']
Exploring Operation: 72/24=3, Resulting Numbers: [69, 3]
Generated Node #0,1,0: 55:[69, 3] Operation: 72/24=3
Exploring Operation: 72-24=48, Resulting Numbers: [69, 48]
Generated Node #0,1,1: 55:[69, 48] Operation: 72-24=48
Exploring Operation: 72-69=3, Resulting Numbers: [24, 3]
Generated Node #0,1,2: 55:[24, 3] Operation: 72-69=3
Exploring Operation: 69-24=45, Resulting Numbers: [72, 45]
Generated Node #0,1,3: 55:[72, 45] Operation: 69-24=45
Moving to Node #0,3
Current State: 55:[93, 24, 3], Operations: ['72/24=3']
Exploring Operation: 93/3=31, Resulting Numbers: [24, 31]
Generated Node #0,3,0: 55:[24, 31] Operation: 93/3=31
Exploring Operation: 24/3=8, Resulting Numbers: [93, 8]
Generated Node #0,3,1: 55:[93, 8] Operation: 24/3=8
Exploring Operation: 93-3=90, Resulting Numbers: [24, 90]
Generated Node #0,3,2: 55:[24, 90] Operation: 93-3=90
Exploring Operation: 93-24=69, Resulting Numbers: [3, 69]
Generated Node #0,3,3: 55:[3, 69] Operation: 93-24=69
Moving to Node #0,1,2
Current State: 55:[24, 3], Operations: ['93-24=69', '72-69=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[69, 3], Operations: ['93-24=69', '72/24=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,55 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[3, 69], Operations: ['72/24=3', '93-24=69']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 3*69=207, Resulting Numbers: [207]
207,55 unequal: No Solution
Exploring Operation: 3+69=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[69, 48], Operations: ['93-24=69', '72-24=48']
Exploring Operation: 69+48=117, Resulting Numbers: [117]
117,55 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 69*48=3312, Resulting Numbers: [3312]
3312,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[72, 45], Operations: ['93-24=69', '69-24=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,55 unequal: No Solution
Exploring Operation: 72*45=3240, Resulting Numbers: [3240]
3240,55 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[24, 31], Operations: ['72/24=3', '93/3=31']
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[72, 93, 24, 24], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [93, 24, 3]
Generated Node #0,3: 55:[93, 24, 3] Operation: 72/24=3
Moving to Node #0,3
Current State: 55:[93, 24, 3], Operations: ['72/24=3']
Exploring Operation: 93/3=31, Resulting Numbers: [24, 31]
Generated Node #0,3,0: 55:[24, 31] Operation: 93/3=31
Moving to Node #0,3,0
Current State: 55:[24, 31], Operations: ['72/24=3', '93/3=31']
Exploring Operation: 24+31=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.9375 |
hs_4
|
sum_heuristic
|
[
81,
9,
82,
27
] | 55 |
[
"81*9=729",
"729/27=27",
"82-27=55"
] |
Current State: 55:[81, 9, 82, 27], Operations: []
Exploring Operation: 81*9=729, Resulting Numbers: [82, 27, 729]
Generated Node #2: [82, 27, 729] from Operation: 81*9=729
Current State: 55:[82, 27, 729], Operations: ['81*9=729']
Exploring Operation: 729/27=27, Resulting Numbers: [82, 27]
Generated Node #3: [82, 27] from Operation: 729/27=27
Current State: 55:[82, 27], Operations: ['81*9=729', '729/27=27']
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[81, 9, 82, 27], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [82, 27, 9]
Generated Node #0,0: 55:[82, 27, 9] Operation: 81/9=9
Exploring Operation: 81/27=3, Resulting Numbers: [9, 82, 3]
Generated Node #0,1: 55:[9, 82, 3] Operation: 81/27=3
Exploring Operation: 82-27=55, Resulting Numbers: [81, 9, 55]
Generated Node #0,2: 55:[81, 9, 55] Operation: 82-27=55
Exploring Operation: 82-81=1, Resulting Numbers: [9, 27, 1]
Generated Node #0,3: 55:[9, 27, 1] Operation: 82-81=1
Exploring Operation: 81-27=54, Resulting Numbers: [9, 82, 54]
Generated Node #0,4: 55:[9, 82, 54] Operation: 81-27=54
Moving to Node #0,3
Current State: 55:[9, 27, 1], Operations: ['82-81=1']
Exploring Operation: 9+1=10, Resulting Numbers: [27, 10]
Generated Node #0,3,0: 55:[27, 10] Operation: 9+1=10
Exploring Operation: 27/9=3, Resulting Numbers: [1, 3]
Generated Node #0,3,1: 55:[1, 3] Operation: 27/9=3
Exploring Operation: 27-1=26, Resulting Numbers: [9, 26]
Generated Node #0,3,2: 55:[9, 26] Operation: 27-1=26
Exploring Operation: 9*1=9, Resulting Numbers: [27, 9]
Generated Node #0,3,3: 55:[27, 9] Operation: 9*1=9
Exploring Operation: 27-9=18, Resulting Numbers: [1, 18]
Generated Node #0,3,4: 55:[1, 18] Operation: 27-9=18
Moving to Node #0,2
Current State: 55:[81, 9, 55], Operations: ['82-27=55']
Exploring Operation: 81+9=90, Resulting Numbers: [55, 90]
Generated Node #0,2,0: 55:[55, 90] Operation: 81+9=90
Exploring Operation: 81-55=26, Resulting Numbers: [9, 26]
Generated Node #0,2,1: 55:[9, 26] Operation: 81-55=26
Exploring Operation: 81/9=9, Resulting Numbers: [55, 9]
Generated Node #0,2,2: 55:[55, 9] Operation: 81/9=9
Exploring Operation: 81-9=72, Resulting Numbers: [55, 72]
Generated Node #0,2,3: 55:[55, 72] Operation: 81-9=72
Exploring Operation: 9+55=64, Resulting Numbers: [81, 64]
Generated Node #0,2,4: 55:[81, 64] Operation: 9+55=64
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 55:[55, 9], Operations: ['82-27=55', '81/9=9']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 55*9=495, Resulting Numbers: [495]
495,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 55:[9, 26], Operations: ['82-27=55', '81-55=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,55 unequal: No Solution
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 55:[55, 72], Operations: ['82-27=55', '81-9=72']
Exploring Operation: 55*72=3960, Resulting Numbers: [3960]
3960,55 unequal: No Solution
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 55:[55, 90], Operations: ['82-27=55', '81+9=90']
Exploring Operation: 55*90=4950, Resulting Numbers: [4950]
4950,55 unequal: No Solution
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Exploring Operation: 55+90=145, Resulting Numbers: [145]
145,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 55:[81, 64], Operations: ['82-27=55', '9+55=64']
Exploring Operation: 81*64=5184, Resulting Numbers: [5184]
5184,55 unequal: No Solution
Exploring Operation: 81+64=145, Resulting Numbers: [145]
145,55 unequal: No Solution
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,55 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: 55:[9, 82, 54], Operations: ['81-27=54']
Exploring Operation: 82-9=73, Resulting Numbers: [54, 73]
Generated Node #0,4,0: 55:[54, 73] Operation: 82-9=73
Exploring Operation: 9+54=63, Resulting Numbers: [82, 63]
Generated Node #0,4,1: 55:[82, 63] Operation: 9+54=63
Exploring Operation: 54/9=6, Resulting Numbers: [82, 6]
Generated Node #0,4,2: 55:[82, 6] Operation: 54/9=6
Exploring Operation: 9+82=91, Resulting Numbers: [54, 91]
Generated Node #0,4,3: 55:[54, 91] Operation: 9+82=91
Exploring Operation: 82-54=28, Resulting Numbers: [9, 28]
Generated Node #0,4,4: 55:[9, 28] Operation: 82-54=28
Moving to Node #0,1
Current State: 55:[9, 82, 3], Operations: ['81/27=3']
Exploring Operation: 9+3=12, Resulting Numbers: [82, 12]
Generated Node #0,1,0: 55:[82, 12] Operation: 9+3=12
Exploring Operation: 9/3=3, Resulting Numbers: [82, 3]
Generated Node #0,1,1: 55:[82, 3] Operation: 9/3=3
Exploring Operation: 82-3=79, Resulting Numbers: [9, 79]
Generated Node #0,1,2: 55:[9, 79] Operation: 82-3=79
Exploring Operation: 82-9=73, Resulting Numbers: [3, 73]
Generated Node #0,1,3: 55:[3, 73] Operation: 82-9=73
Exploring Operation: 9-3=6, Resulting Numbers: [82, 6]
Generated Node #0,1,4: 55:[82, 6] Operation: 9-3=6
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[3, 73], Operations: ['81/27=3', '82-9=73']
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,55 unequal: No Solution
Exploring Operation: 3*73=219, Resulting Numbers: [219]
219,55 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[9, 79], Operations: ['81/27=3', '82-3=79']
Exploring Operation: 9+79=88, Resulting Numbers: [88]
88,55 unequal: No Solution
Exploring Operation: 9*79=711, Resulting Numbers: [711]
711,55 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[82, 12], Operations: ['81/27=3', '9+3=12']
Exploring Operation: 82+12=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Exploring Operation: 82*12=984, Resulting Numbers: [984]
984,55 unequal: No Solution
Exploring Operation: 82-12=70, Resulting Numbers: [70]
70,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 55:[82, 6], Operations: ['81/27=3', '9-3=6']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,55 unequal: No Solution
Exploring Operation: 82*6=492, Resulting Numbers: [492]
492,55 unequal: No Solution
Exploring Operation: 82+6=88, Resulting Numbers: [88]
88,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[82, 3], Operations: ['81/27=3', '9/3=3']
Exploring Operation: 82*3=246, Resulting Numbers: [246]
246,55 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,55 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: 55:[82, 27, 9], Operations: ['81/9=9']
Exploring Operation: 82-9=73, Resulting Numbers: [27, 73]
Generated Node #0,0,0: 55:[27, 73] Operation: 82-9=73
Exploring Operation: 27-9=18, Resulting Numbers: [82, 18]
Generated Node #0,0,1: 55:[82, 18] Operation: 27-9=18
Exploring Operation: 27+9=36, Resulting Numbers: [82, 36]
Generated Node #0,0,2: 55:[82, 36] Operation: 27+9=36
Exploring Operation: 27/9=3, Resulting Numbers: [82, 3]
Generated Node #0,0,3: 55:[82, 3] Operation: 27/9=3
Exploring Operation: 82-27=55, Resulting Numbers: [9, 55]
Generated Node #0,0,4: 55:[9, 55] Operation: 82-27=55
Moving to Node #0,0,4
Current State: 55:[9, 55], Operations: ['81/9=9', '82-27=55']
Exploring Operation: 9*55=495, Resulting Numbers: [495]
495,55 unequal: No Solution
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 9+55=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[1, 3], Operations: ['82-81=1', '27/9=3']
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,3,4
Current State: 55:[1, 18], Operations: ['82-81=1', '27-9=18']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,55 unequal: No Solution
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[27, 10], Operations: ['82-81=1', '9+1=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,55 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[9, 26], Operations: ['82-81=1', '27-1=26']
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,55 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,55 unequal: No Solution
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[27, 9], Operations: ['82-81=1', '9*1=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,55 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,55 unequal: No Solution
Moving to Node #0,4,4
Current State: 55:[9, 28], Operations: ['81-27=54', '82-54=28']
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,55 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,55 unequal: No Solution
Moving to Node #0,4,0
Current State: 55:[54, 73], Operations: ['81-27=54', '82-9=73']
Exploring Operation: 54+73=127, Resulting Numbers: [127]
127,55 unequal: No Solution
Exploring Operation: 54*73=3942, Resulting Numbers: [3942]
3942,55 unequal: No Solution
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Moving to Node #0,4,2
Current State: 55:[82, 6], Operations: ['81-27=54', '54/9=6']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,55 unequal: No Solution
Exploring Operation: 82+6=88, Resulting Numbers: [88]
88,55 unequal: No Solution
Exploring Operation: 82*6=492, Resulting Numbers: [492]
492,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[82, 3], Operations: ['81/9=9', '27/9=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,55 unequal: No Solution
Exploring Operation: 82*3=246, Resulting Numbers: [246]
246,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[27, 73], Operations: ['81/9=9', '82-9=73']
Exploring Operation: 27*73=1971, Resulting Numbers: [1971]
1971,55 unequal: No Solution
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,55 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[82, 18], Operations: ['81/9=9', '27-9=18']
Exploring Operation: 82+18=100, Resulting Numbers: [100]
100,55 unequal: No Solution
Exploring Operation: 82-18=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 82*18=1476, Resulting Numbers: [1476]
1476,55 unequal: No Solution
Moving to Node #0,4,1
Current State: 55:[82, 63], Operations: ['81-27=54', '9+54=63']
Exploring Operation: 82+63=145, Resulting Numbers: [145]
145,55 unequal: No Solution
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 82*63=5166, Resulting Numbers: [5166]
5166,55 unequal: No Solution
Moving to Node #0,4,3
Current State: 55:[54, 91], Operations: ['81-27=54', '9+82=91']
Exploring Operation: 54*91=4914, Resulting Numbers: [4914]
4914,55 unequal: No Solution
Exploring Operation: 54+91=145, Resulting Numbers: [145]
145,55 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[82, 36], Operations: ['81/9=9', '27+9=36']
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 82*36=2952, Resulting Numbers: [2952]
2952,55 unequal: No Solution
Exploring Operation: 82+36=118, Resulting Numbers: [118]
118,55 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
6,
30,
26,
51
] | 11 |
[
"6+30=36",
"51-26=25",
"36-25=11"
] |
Current State: 11:[6, 30, 26, 51], Operations: []
Exploring Operation: 6+30=36, Resulting Numbers: [26, 51, 36]
Generated Node #2: [26, 51, 36] from Operation: 6+30=36
Current State: 11:[26, 51, 36], Operations: ['6+30=36']
Exploring Operation: 51-26=25, Resulting Numbers: [36, 25]
Generated Node #3: [36, 25] from Operation: 51-26=25
Current State: 11:[36, 25], Operations: ['6+30=36', '51-26=25']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[6, 30, 26, 51], Operations: []
Exploring Operation: 51-30=21, Resulting Numbers: [6, 26, 21]
Generated Node #0,0: 11:[6, 26, 21] Operation: 51-30=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[6, 26, 21], Operations: ['51-30=21']
Exploring Operation: 26-21=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 11:[6, 5] Operation: 26-21=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[6, 5], Operations: ['51-30=21', '26-21=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[6, 30, 26, 51], Operations: []
Exploring Operation: 51-30=21, Resulting Numbers: [6, 26, 21]
Generated Node #0,0: 11:[6, 26, 21] Operation: 51-30=21
Moving to Node #0,0
Current State: 11:[6, 26, 21], Operations: ['51-30=21']
Exploring Operation: 26-21=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 11:[6, 5] Operation: 26-21=5
Moving to Node #0,0,0
Current State: 11:[6, 5], Operations: ['51-30=21', '26-21=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
46,
79,
73,
42
] | 39 |
[
"79-73=6",
"42/6=7",
"46-7=39"
] |
Current State: 39:[46, 79, 73, 42], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [46, 42, 6]
Generated Node #2: [46, 42, 6] from Operation: 79-73=6
Current State: 39:[46, 42, 6], Operations: ['79-73=6']
Exploring Operation: 42/6=7, Resulting Numbers: [46, 7]
Generated Node #3: [46, 7] from Operation: 42/6=7
Current State: 39:[46, 7], Operations: ['79-73=6', '42/6=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[46, 79, 73, 42], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [46, 42, 6]
Generated Node #0,0: 39:[46, 42, 6] Operation: 79-73=6
Exploring Operation: 79-42=37, Resulting Numbers: [46, 73, 37]
Generated Node #0,1: 39:[46, 73, 37] Operation: 79-42=37
Exploring Operation: 79-46=33, Resulting Numbers: [73, 42, 33]
Generated Node #0,2: 39:[73, 42, 33] Operation: 79-46=33
Moving to Node #0,0
Current State: 39:[46, 42, 6], Operations: ['79-73=6']
Exploring Operation: 46-6=40, Resulting Numbers: [42, 40]
Generated Node #0,0,0: 39:[42, 40] Operation: 46-6=40
Exploring Operation: 42-6=36, Resulting Numbers: [46, 36]
Generated Node #0,0,1: 39:[46, 36] Operation: 42-6=36
Exploring Operation: 46-42=4, Resulting Numbers: [6, 4]
Generated Node #0,0,2: 39:[6, 4] Operation: 46-42=4
Moving to Node #0,1
Current State: 39:[46, 73, 37], Operations: ['79-42=37']
Exploring Operation: 73-46=27, Resulting Numbers: [37, 27]
Generated Node #0,1,0: 39:[37, 27] Operation: 73-46=27
Exploring Operation: 46-37=9, Resulting Numbers: [73, 9]
Generated Node #0,1,1: 39:[73, 9] Operation: 46-37=9
Exploring Operation: 73-37=36, Resulting Numbers: [46, 36]
Generated Node #0,1,2: 39:[46, 36] Operation: 73-37=36
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[46, 36], Operations: ['79-42=37', '73-37=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 46+36=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 46*36=1656, Resulting Numbers: [1656]
1656,39 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 #0,1,0
Current State: 39:[37, 27], Operations: ['79-42=37', '73-46=27']
Exploring Operation: 37*27=999, Resulting Numbers: [999]
999,39 unequal: No Solution
Exploring Operation: 37+27=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,39 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 #0,1,1
Current State: 39:[73, 9], Operations: ['79-42=37', '46-37=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 73*9=657, Resulting Numbers: [657]
657,39 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: 39:[73, 42, 33], Operations: ['79-46=33']
Exploring Operation: 73-33=40, Resulting Numbers: [42, 40]
Generated Node #0,2,0: 39:[42, 40] Operation: 73-33=40
Exploring Operation: 73-42=31, Resulting Numbers: [33, 31]
Generated Node #0,2,1: 39:[33, 31] Operation: 73-42=31
Exploring Operation: 42-33=9, Resulting Numbers: [73, 9]
Generated Node #0,2,2: 39:[73, 9] Operation: 42-33=9
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[42, 40], Operations: ['79-46=33', '73-33=40']
Exploring Operation: 42*40=1680, Resulting Numbers: [1680]
1680,39 unequal: No Solution
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,39 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 #0,2,1
Current State: 39:[33, 31], Operations: ['79-46=33', '73-42=31']
Exploring Operation: 33+31=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 33*31=1023, Resulting Numbers: [1023]
1023,39 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 #0,2,2
Current State: 39:[73, 9], Operations: ['79-46=33', '42-33=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 73*9=657, Resulting Numbers: [657]
657,39 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: 39:[42, 40], Operations: ['79-73=6', '46-6=40']
Exploring Operation: 42*40=1680, Resulting Numbers: [1680]
1680,39 unequal: No Solution
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,39 unequal: No Solution
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[6, 4], Operations: ['79-73=6', '46-42=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[46, 36], Operations: ['79-73=6', '42-6=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 46*36=1656, Resulting Numbers: [1656]
1656,39 unequal: No Solution
Exploring Operation: 46+36=82, Resulting Numbers: [82]
82,39 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
63,
11,
21,
84
] | 39 |
[
"63/21=3",
"84/3=28",
"11+28=39"
] |
Current State: 39:[63, 11, 21, 84], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [11, 84, 3]
Generated Node #2: [11, 84, 3] from Operation: 63/21=3
Current State: 39:[11, 84, 3], Operations: ['63/21=3']
Exploring Operation: 84/3=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 84/3=28
Current State: 39:[11, 28], Operations: ['63/21=3', '84/3=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[63, 11, 21, 84], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [11, 84, 3]
Generated Node #0,0: 39:[11, 84, 3] Operation: 63/21=3
Exploring Operation: 84/21=4, Resulting Numbers: [63, 11, 4]
Generated Node #0,1: 39:[63, 11, 4] Operation: 84/21=4
Exploring Operation: 84-63=21, Resulting Numbers: [11, 21, 21]
Generated Node #0,2: 39:[11, 21, 21] Operation: 84-63=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[11, 21, 21], Operations: ['84-63=21']
Exploring Operation: 21-21=0, Resulting Numbers: [11, 0]
Generated Node #0,2,0: 39:[11, 0] Operation: 21-21=0
Exploring Operation: 21+21=42, Resulting Numbers: [11, 42]
Generated Node #0,2,1: 39:[11, 42] Operation: 21+21=42
Exploring Operation: 21/21=1, Resulting Numbers: [11, 1]
Generated Node #0,2,2: 39:[11, 1] Operation: 21/21=1
Moving to Node #0,2,2
Current State: 39:[11, 1], Operations: ['84-63=21', '21/21=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[11, 0], Operations: ['84-63=21', '21-21=0']
Exploring Operation: 11*0=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[11, 42], Operations: ['84-63=21', '21+21=42']
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,39 unequal: No Solution
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,39 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:[63, 11, 4], Operations: ['84/21=4']
Exploring Operation: 63-4=59, Resulting Numbers: [11, 59]
Generated Node #0,1,0: 39:[11, 59] Operation: 63-4=59
Exploring Operation: 11+4=15, Resulting Numbers: [63, 15]
Generated Node #0,1,1: 39:[63, 15] Operation: 11+4=15
Exploring Operation: 63-11=52, Resulting Numbers: [4, 52]
Generated Node #0,1,2: 39:[4, 52] Operation: 63-11=52
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 39:[4, 52], Operations: ['84/21=4', '63-11=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,39 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 #0,1,0
Current State: 39:[11, 59], Operations: ['84/21=4', '63-4=59']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,39 unequal: No Solution
Exploring Operation: 11*59=649, Resulting Numbers: [649]
649,39 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 #0,1,1
Current State: 39:[63, 15], Operations: ['84/21=4', '11+4=15']
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,39 unequal: No Solution
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,39 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[11, 84, 3], Operations: ['63/21=3']
Exploring Operation: 84/3=28, Resulting Numbers: [11, 28]
Generated Node #0,0,0: 39:[11, 28] Operation: 84/3=28
Exploring Operation: 84-3=81, Resulting Numbers: [11, 81]
Generated Node #0,0,1: 39:[11, 81] Operation: 84-3=81
Exploring Operation: 84-11=73, Resulting Numbers: [3, 73]
Generated Node #0,0,2: 39:[3, 73] Operation: 84-11=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[11, 28], Operations: ['63/21=3', '84/3=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[63, 11, 21, 84], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [11, 84, 3]
Generated Node #0,0: 39:[11, 84, 3] Operation: 63/21=3
Moving to Node #0,0
Current State: 39:[11, 84, 3], Operations: ['63/21=3']
Exploring Operation: 84/3=28, Resulting Numbers: [11, 28]
Generated Node #0,0,0: 39:[11, 28] Operation: 84/3=28
Moving to Node #0,0,0
Current State: 39:[11, 28], Operations: ['63/21=3', '84/3=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 |
hs_3
|
mult_heuristic
|
[
3,
77,
64,
35
] | 50 |
[
"77-35=42",
"42/3=14",
"64-14=50"
] |
Current State: 50:[3, 77, 64, 35], Operations: []
Exploring Operation: 77-35=42, Resulting Numbers: [3, 64, 42]
Generated Node #2: [3, 64, 42] from Operation: 77-35=42
Current State: 50:[3, 64, 42], Operations: ['77-35=42']
Exploring Operation: 42/3=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 42/3=14
Current State: 50:[64, 14], Operations: ['77-35=42', '42/3=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[3, 77, 64, 35], Operations: []
Exploring Operation: 77-64=13, Resulting Numbers: [3, 35, 13]
Generated Node #0,0: 50:[3, 35, 13] Operation: 77-64=13
Moving to Node #0,0
Current State: 50:[3, 35, 13], Operations: ['77-64=13']
Exploring Operation: 35+13=48, Resulting Numbers: [3, 48]
Generated Node #0,0,0: 50:[3, 48] Operation: 35+13=48
Moving to Node #0,0,0
Current State: 50:[3, 48], Operations: ['77-64=13', '35+13=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,50 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
92,
87,
47,
44
] | 15 |
[
"92-87=5",
"47-44=3",
"5*3=15"
] |
Current State: 15:[92, 87, 47, 44], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [47, 44, 5]
Generated Node #2: [47, 44, 5] from Operation: 92-87=5
Current State: 15:[47, 44, 5], Operations: ['92-87=5']
Exploring Operation: 47-44=3, Resulting Numbers: [5, 3]
Generated Node #3: [5, 3] from Operation: 47-44=3
Current State: 15:[5, 3], Operations: ['92-87=5', '47-44=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
Current State: 15:[92, 87, 47, 44], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [92, 44, 40]
Generated Node #0,0: 15:[92, 44, 40] Operation: 87-47=40
Exploring Operation: 92-87=5, Resulting Numbers: [47, 44, 5]
Generated Node #0,1: 15:[47, 44, 5] Operation: 92-87=5
Exploring Operation: 92-47=45, Resulting Numbers: [87, 44, 45]
Generated Node #0,2: 15:[87, 44, 45] Operation: 92-47=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[47, 44, 5], Operations: ['92-87=5']
Exploring Operation: 47-5=42, Resulting Numbers: [44, 42]
Generated Node #0,1,0: 15:[44, 42] Operation: 47-5=42
Exploring Operation: 44-5=39, Resulting Numbers: [47, 39]
Generated Node #0,1,1: 15:[47, 39] Operation: 44-5=39
Exploring Operation: 47-44=3, Resulting Numbers: [5, 3]
Generated Node #0,1,2: 15:[5, 3] Operation: 47-44=3
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 15:[5, 3], Operations: ['92-87=5', '47-44=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[92, 87, 47, 44], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [47, 44, 5]
Generated Node #0,1: 15:[47, 44, 5] Operation: 92-87=5
Moving to Node #0,1
Current State: 15:[47, 44, 5], Operations: ['92-87=5']
Exploring Operation: 47-44=3, Resulting Numbers: [5, 3]
Generated Node #0,1,2: 15:[5, 3] Operation: 47-44=3
Moving to Node #0,1,2
Current State: 15:[5, 3], Operations: ['92-87=5', '47-44=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
mult_heuristic
|
[
50,
25,
7,
7
] | 76 |
[
"50+25=75",
"7/7=1",
"75+1=76"
] |
Current State: 76:[50, 25, 7, 7], Operations: []
Exploring Operation: 50+25=75, Resulting Numbers: [7, 7, 75]
Generated Node #2: [7, 7, 75] from Operation: 50+25=75
Current State: 76:[7, 7, 75], Operations: ['50+25=75']
Exploring Operation: 7/7=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 7/7=1
Current State: 76:[75, 1], Operations: ['50+25=75', '7/7=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
Current State: 76:[50, 25, 7, 7], Operations: []
Exploring Operation: 50-25=25, Resulting Numbers: [7, 7, 25]
Generated Node #0,0: 76:[7, 7, 25] Operation: 50-25=25
Exploring Operation: 50+25=75, Resulting Numbers: [7, 7, 75]
Generated Node #0,1: 76:[7, 7, 75] Operation: 50+25=75
Exploring Operation: 50/25=2, Resulting Numbers: [7, 7, 2]
Generated Node #0,2: 76:[7, 7, 2] Operation: 50/25=2
Moving to Node #0,2
Current State: 76:[7, 7, 2], Operations: ['50/25=2']
Exploring Operation: 7-7=0, Resulting Numbers: [2, 0]
Generated Node #0,2,0: 76:[2, 0] Operation: 7-7=0
Exploring Operation: 7/7=1, Resulting Numbers: [2, 1]
Generated Node #0,2,1: 76:[2, 1] Operation: 7/7=1
Exploring Operation: 7-2=5, Resulting Numbers: [7, 5]
Generated Node #0,2,2: 76:[7, 5] Operation: 7-2=5
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[2, 1], Operations: ['50/25=2', '7/7=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[2, 0], Operations: ['50/25=2', '7-7=0']
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,76 unequal: No Solution
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[7, 5], Operations: ['50/25=2', '7-2=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,76 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: 76:[7, 7, 75], Operations: ['50+25=75']
Exploring Operation: 7+7=14, Resulting Numbers: [75, 14]
Generated Node #0,1,0: 76:[75, 14] Operation: 7+7=14
Exploring Operation: 7-7=0, Resulting Numbers: [75, 0]
Generated Node #0,1,1: 76:[75, 0] Operation: 7-7=0
Exploring Operation: 7/7=1, Resulting Numbers: [75, 1]
Generated Node #0,1,2: 76:[75, 1] Operation: 7/7=1
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 76:[75, 1], Operations: ['50+25=75', '7/7=1']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[50, 25, 7, 7], Operations: []
Exploring Operation: 50+25=75, Resulting Numbers: [7, 7, 75]
Generated Node #0,1: 76:[7, 7, 75] Operation: 50+25=75
Moving to Node #0,1
Current State: 76:[7, 7, 75], Operations: ['50+25=75']
Exploring Operation: 7/7=1, Resulting Numbers: [75, 1]
Generated Node #0,1,2: 76:[75, 1] Operation: 7/7=1
Moving to Node #0,1,2
Current State: 76:[75, 1], Operations: ['50+25=75', '7/7=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 |
hs_3
|
mult_heuristic
|
[
4,
7,
28,
26
] | 23 |
[
"28/4=7",
"7*7=49",
"49-26=23"
] |
Current State: 23:[4, 7, 28, 26], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [7, 26, 7]
Generated Node #2: [7, 26, 7] from Operation: 28/4=7
Current State: 23:[7, 26, 7], Operations: ['28/4=7']
Exploring Operation: 7*7=49, Resulting Numbers: [26, 49]
Generated Node #3: [26, 49] from Operation: 7*7=49
Current State: 23:[26, 49], Operations: ['28/4=7', '7*7=49']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[4, 7, 28, 26], Operations: []
Exploring Operation: 28-4=24, Resulting Numbers: [7, 26, 24]
Generated Node #0,0: 23:[7, 26, 24] Operation: 28-4=24
Exploring Operation: 4+7=11, Resulting Numbers: [28, 26, 11]
Generated Node #0,1: 23:[28, 26, 11] Operation: 4+7=11
Exploring Operation: 4*7=28, Resulting Numbers: [28, 26, 28]
Generated Node #0,2: 23:[28, 26, 28] Operation: 4*7=28
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[28, 26, 28], Operations: ['4*7=28']
Exploring Operation: 28-26=2, Resulting Numbers: [28, 2]
Generated Node #0,2,0: 23:[28, 2] Operation: 28-26=2
Exploring Operation: 28/28=1, Resulting Numbers: [26, 1]
Generated Node #0,2,1: 23:[26, 1] Operation: 28/28=1
Exploring Operation: 28-28=0, Resulting Numbers: [26, 0]
Generated Node #0,2,2: 23:[26, 0] Operation: 28-28=0
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 23:[26, 1], Operations: ['4*7=28', '28/28=1']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 23:[28, 2], Operations: ['4*7=28', '28-26=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,23 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 23:[26, 0], Operations: ['4*7=28', '28-28=0']
Exploring Operation: 26*0=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 26-0=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[7, 26, 24], Operations: ['28-4=24']
Exploring Operation: 24-7=17, Resulting Numbers: [26, 17]
Generated Node #0,0,0: 23:[26, 17] Operation: 24-7=17
Exploring Operation: 7+26=33, Resulting Numbers: [24, 33]
Generated Node #0,0,1: 23:[24, 33] Operation: 7+26=33
Exploring Operation: 26-7=19, Resulting Numbers: [24, 19]
Generated Node #0,0,2: 23:[24, 19] Operation: 26-7=19
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 23:[24, 19], Operations: ['28-4=24', '26-7=19']
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,23 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[26, 17], Operations: ['28-4=24', '24-7=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,23 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[24, 33], Operations: ['28-4=24', '7+26=33']
Exploring Operation: 24*33=792, Resulting Numbers: [792]
792,23 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[28, 26, 11], Operations: ['4+7=11']
Exploring Operation: 26-11=15, Resulting Numbers: [28, 15]
Generated Node #0,1,0: 23:[28, 15] Operation: 26-11=15
Exploring Operation: 28-11=17, Resulting Numbers: [26, 17]
Generated Node #0,1,1: 23:[26, 17] Operation: 28-11=17
Exploring Operation: 28+11=39, Resulting Numbers: [26, 39]
Generated Node #0,1,2: 23:[26, 39] Operation: 28+11=39
Moving to Node #0,1,1
Current State: 23:[26, 17], Operations: ['4+7=11', '28-11=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,23 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[28, 15], Operations: ['4+7=11', '26-11=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[26, 39], Operations: ['4+7=11', '28+11=39']
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 26*39=1014, Resulting Numbers: [1014]
1014,23 unequal: No Solution
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,23 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
|
[
89,
93,
11,
98
] | 73 |
[
"89+93=182",
"11+98=109",
"182-109=73"
] |
Current State: 73:[89, 93, 11, 98], Operations: []
Exploring Operation: 89+93=182, Resulting Numbers: [11, 98, 182]
Generated Node #2: [11, 98, 182] from Operation: 89+93=182
Current State: 73:[11, 98, 182], Operations: ['89+93=182']
Exploring Operation: 11+98=109, Resulting Numbers: [182, 109]
Generated Node #3: [182, 109] from Operation: 11+98=109
Current State: 73:[182, 109], Operations: ['89+93=182', '11+98=109']
Exploring Operation: 182-109=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[89, 93, 11, 98], Operations: []
Exploring Operation: 89-11=78, Resulting Numbers: [93, 98, 78]
Generated Node #0,0: 73:[93, 98, 78] Operation: 89-11=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[93, 98, 78], Operations: ['89-11=78']
Exploring Operation: 98-93=5, Resulting Numbers: [78, 5]
Generated Node #0,0,0: 73:[78, 5] Operation: 98-93=5
Moving to Node #0,0,0
Current State: 73:[78, 5], Operations: ['89-11=78', '98-93=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[89, 93, 11, 98], Operations: []
Exploring Operation: 89-11=78, Resulting Numbers: [93, 98, 78]
Generated Node #0,0: 73:[93, 98, 78] Operation: 89-11=78
Moving to Node #0,0
Current State: 73:[93, 98, 78], Operations: ['89-11=78']
Exploring Operation: 98-93=5, Resulting Numbers: [78, 5]
Generated Node #0,0,0: 73:[78, 5] Operation: 98-93=5
Moving to Node #0,0,0
Current State: 73:[78, 5], Operations: ['89-11=78', '98-93=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
73,
80,
38,
7
] | 87 |
[
"80-73=7",
"7*7=49",
"38+49=87"
] |
Current State: 87:[73, 80, 38, 7], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [38, 7, 7]
Generated Node #2: [38, 7, 7] from Operation: 80-73=7
Current State: 87:[38, 7, 7], Operations: ['80-73=7']
Exploring Operation: 7*7=49, Resulting Numbers: [38, 49]
Generated Node #3: [38, 49] from Operation: 7*7=49
Current State: 87:[38, 49], Operations: ['80-73=7', '7*7=49']
Exploring Operation: 38+49=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[73, 80, 38, 7], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [80, 7, 35]
Generated Node #0,0: 87:[80, 7, 35] Operation: 73-38=35
Exploring Operation: 80-73=7, Resulting Numbers: [38, 7, 7]
Generated Node #0,1: 87:[38, 7, 7] Operation: 80-73=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[80, 7, 35], Operations: ['73-38=35']
Exploring Operation: 80+7=87, Resulting Numbers: [35, 87]
Generated Node #0,0,0: 87:[35, 87] Operation: 80+7=87
Exploring Operation: 35-7=28, Resulting Numbers: [80, 28]
Generated Node #0,0,1: 87:[80, 28] Operation: 35-7=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[35, 87], Operations: ['73-38=35', '80+7=87']
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Exploring Operation: 35+87=122, Resulting Numbers: [122]
122,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[80, 28], Operations: ['73-38=35', '35-7=28']
Exploring Operation: 80+28=108, Resulting Numbers: [108]
108,87 unequal: No Solution
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[38, 7, 7], Operations: ['80-73=7']
Exploring Operation: 38-7=31, Resulting Numbers: [7, 31]
Generated Node #0,1,0: 87:[7, 31] Operation: 38-7=31
Exploring Operation: 38-7=31, Resulting Numbers: [7, 31]
Generated Node #0,1,1: 87:[7, 31] Operation: 38-7=31
Moving to Node #0,1,0
Current State: 87:[7, 31], Operations: ['80-73=7', '38-7=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[7, 31], Operations: ['80-73=7', '38-7=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
63,
95,
77,
82
] | 37 |
[
"95-63=32",
"82-77=5",
"32+5=37"
] |
Current State: 37:[63, 95, 77, 82], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [77, 82, 32]
Generated Node #2: [77, 82, 32] from Operation: 95-63=32
Current State: 37:[77, 82, 32], Operations: ['95-63=32']
Exploring Operation: 82-77=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 82-77=5
Current State: 37:[32, 5], Operations: ['95-63=32', '82-77=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[63, 95, 77, 82], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [77, 82, 32]
Generated Node #0,0: 37:[77, 82, 32] Operation: 95-63=32
Exploring Operation: 95-77=18, Resulting Numbers: [63, 82, 18]
Generated Node #0,1: 37:[63, 82, 18] Operation: 95-77=18
Moving to Node #0,0
Current State: 37:[77, 82, 32], Operations: ['95-63=32']
Exploring Operation: 82-77=5, Resulting Numbers: [32, 5]
Generated Node #0,0,0: 37:[32, 5] Operation: 82-77=5
Exploring Operation: 77-32=45, Resulting Numbers: [82, 45]
Generated Node #0,0,1: 37:[82, 45] Operation: 77-32=45
Moving to Node #0,1
Current State: 37:[63, 82, 18], Operations: ['95-77=18']
Exploring Operation: 82-63=19, Resulting Numbers: [18, 19]
Generated Node #0,1,0: 37:[18, 19] Operation: 82-63=19
Exploring Operation: 63-18=45, Resulting Numbers: [82, 45]
Generated Node #0,1,1: 37:[82, 45] Operation: 63-18=45
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[18, 19], Operations: ['95-77=18', '82-63=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[63, 95, 77, 82], Operations: []
Exploring Operation: 95-77=18, Resulting Numbers: [63, 82, 18]
Generated Node #0,1: 37:[63, 82, 18] Operation: 95-77=18
Moving to Node #0,1
Current State: 37:[63, 82, 18], Operations: ['95-77=18']
Exploring Operation: 82-63=19, Resulting Numbers: [18, 19]
Generated Node #0,1,0: 37:[18, 19] Operation: 82-63=19
Moving to Node #0,1,0
Current State: 37:[18, 19], Operations: ['95-77=18', '82-63=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_2
|
sum_heuristic
|
[
4,
8,
16,
10
] | 82 |
[
"4*16=64",
"8+10=18",
"64+18=82"
] |
Current State: 82:[4, 8, 16, 10], Operations: []
Exploring Operation: 4*16=64, Resulting Numbers: [8, 10, 64]
Generated Node #2: [8, 10, 64] from Operation: 4*16=64
Current State: 82:[8, 10, 64], Operations: ['4*16=64']
Exploring Operation: 8+10=18, Resulting Numbers: [64, 18]
Generated Node #3: [64, 18] from Operation: 8+10=18
Current State: 82:[64, 18], Operations: ['4*16=64', '8+10=18']
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[4, 8, 16, 10], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [4, 10, 2]
Generated Node #0,0: 82:[4, 10, 2] Operation: 16/8=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[4, 10, 2], Operations: ['16/8=2']
Exploring Operation: 4*10=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 82:[2, 40] Operation: 4*10=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[2, 40], Operations: ['16/8=2', '4*10=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,82 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
|
mult_heuristic
|
[
77,
80,
29,
74
] | 17 |
[
"77-74=3",
"80-29=51",
"51/3=17"
] |
Current State: 17:[77, 80, 29, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [80, 29, 3]
Generated Node #2: [80, 29, 3] from Operation: 77-74=3
Current State: 17:[80, 29, 3], Operations: ['77-74=3']
Exploring Operation: 80-29=51, Resulting Numbers: [3, 51]
Generated Node #3: [3, 51] from Operation: 80-29=51
Current State: 17:[3, 51], Operations: ['77-74=3', '80-29=51']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[77, 80, 29, 74], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [29, 74, 3]
Generated Node #0,0: 17:[29, 74, 3] Operation: 80-77=3
Moving to Node #0,0
Current State: 17:[29, 74, 3], Operations: ['80-77=3']
Exploring Operation: 74-29=45, Resulting Numbers: [3, 45]
Generated Node #0,0,0: 17:[3, 45] Operation: 74-29=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[3, 45], Operations: ['80-77=3', '74-29=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,17 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
|
[
53,
75,
64,
36
] | 38 |
[
"53+75=128",
"128/64=2",
"36+2=38"
] |
Current State: 38:[53, 75, 64, 36], Operations: []
Exploring Operation: 53+75=128, Resulting Numbers: [64, 36, 128]
Generated Node #2: [64, 36, 128] from Operation: 53+75=128
Current State: 38:[64, 36, 128], Operations: ['53+75=128']
Exploring Operation: 128/64=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 128/64=2
Current State: 38:[36, 2], Operations: ['53+75=128', '128/64=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[53, 75, 64, 36], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [53, 36, 11]
Generated Node #0,0: 38:[53, 36, 11] Operation: 75-64=11
Moving to Node #0,0
Current State: 38:[53, 36, 11], Operations: ['75-64=11']
Exploring Operation: 53-11=42, Resulting Numbers: [36, 42]
Generated Node #0,0,0: 38:[36, 42] Operation: 53-11=42
Moving to Node #0,0,0
Current State: 38:[36, 42], Operations: ['75-64=11', '53-11=42']
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,38 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
10,
21,
96,
44
] | 100 |
[
"21-10=11",
"44/11=4",
"96+4=100"
] |
Current State: 100:[10, 21, 96, 44], Operations: []
Exploring Operation: 21-10=11, Resulting Numbers: [96, 44, 11]
Generated Node #2: [96, 44, 11] from Operation: 21-10=11
Current State: 100:[96, 44, 11], Operations: ['21-10=11']
Exploring Operation: 44/11=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 44/11=4
Current State: 100:[96, 4], Operations: ['21-10=11', '44/11=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
Current State: 100:[10, 21, 96, 44], Operations: []
Exploring Operation: 96-44=52, Resulting Numbers: [10, 21, 52]
Generated Node #0,0: 100:[10, 21, 52] Operation: 96-44=52
Exploring Operation: 44-21=23, Resulting Numbers: [10, 96, 23]
Generated Node #0,1: 100:[10, 96, 23] Operation: 44-21=23
Moving to Node #0,0
Current State: 100:[10, 21, 52], Operations: ['96-44=52']
Exploring Operation: 21-10=11, Resulting Numbers: [52, 11]
Generated Node #0,0,0: 100:[52, 11] Operation: 21-10=11
Exploring Operation: 52-21=31, Resulting Numbers: [10, 31]
Generated Node #0,0,1: 100:[10, 31] Operation: 52-21=31
Moving to Node #0,1
Current State: 100:[10, 96, 23], Operations: ['44-21=23']
Exploring Operation: 10+96=106, Resulting Numbers: [23, 106]
Generated Node #0,1,0: 100:[23, 106] Operation: 10+96=106
Exploring Operation: 23-10=13, Resulting Numbers: [96, 13]
Generated Node #0,1,1: 100:[96, 13] Operation: 23-10=13
Moving to Node #0,0,0
Current State: 100:[52, 11], Operations: ['96-44=52', '21-10=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[10, 31], Operations: ['96-44=52', '52-21=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[96, 13], Operations: ['44-21=23', '23-10=13']
Exploring Operation: 96+13=109, Resulting Numbers: [109]
109,100 unequal: No Solution
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[23, 106], Operations: ['44-21=23', '10+96=106']
Exploring Operation: 106-23=83, Resulting Numbers: [83]
83,100 unequal: No Solution
Exploring Operation: 23+106=129, Resulting Numbers: [129]
129,100 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
5,
32,
38,
34
] | 41 |
[
"5+32=37",
"38-34=4",
"37+4=41"
] |
Current State: 41:[5, 32, 38, 34], Operations: []
Exploring Operation: 5+32=37, Resulting Numbers: [38, 34, 37]
Generated Node #2: [38, 34, 37] from Operation: 5+32=37
Current State: 41:[38, 34, 37], Operations: ['5+32=37']
Exploring Operation: 38-34=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 38-34=4
Current State: 41:[37, 4], Operations: ['5+32=37', '38-34=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[5, 32, 38, 34], Operations: []
Exploring Operation: 5+34=39, Resulting Numbers: [32, 38, 39]
Generated Node #0,0: 41:[32, 38, 39] Operation: 5+34=39
Exploring Operation: 32-5=27, Resulting Numbers: [38, 34, 27]
Generated Node #0,1: 41:[38, 34, 27] Operation: 32-5=27
Exploring Operation: 5+38=43, Resulting Numbers: [32, 34, 43]
Generated Node #0,2: 41:[32, 34, 43] Operation: 5+38=43
Exploring Operation: 5+32=37, Resulting Numbers: [38, 34, 37]
Generated Node #0,3: 41:[38, 34, 37] Operation: 5+32=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[32, 38, 39], Operations: ['5+34=39']
Exploring Operation: 38-32=6, Resulting Numbers: [39, 6]
Generated Node #0,0,0: 41:[39, 6] Operation: 38-32=6
Exploring Operation: 39-32=7, Resulting Numbers: [38, 7]
Generated Node #0,0,1: 41:[38, 7] Operation: 39-32=7
Exploring Operation: 32+39=71, Resulting Numbers: [38, 71]
Generated Node #0,0,2: 41:[38, 71] Operation: 32+39=71
Exploring Operation: 32+38=70, Resulting Numbers: [39, 70]
Generated Node #0,0,3: 41:[39, 70] Operation: 32+38=70
Moving to Node #0,0,3
Current State: 41:[39, 70], Operations: ['5+34=39', '32+38=70']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 39+70=109, Resulting Numbers: [109]
109,41 unequal: No Solution
Exploring Operation: 39*70=2730, Resulting Numbers: [2730]
2730,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[38, 71], Operations: ['5+34=39', '32+39=71']
Exploring Operation: 38*71=2698, Resulting Numbers: [2698]
2698,41 unequal: No Solution
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 38+71=109, Resulting Numbers: [109]
109,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[38, 7], Operations: ['5+34=39', '39-32=7']
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,41 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[39, 6], Operations: ['5+34=39', '38-32=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,41 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[38, 34, 37], Operations: ['5+32=37']
Exploring Operation: 34+37=71, Resulting Numbers: [38, 71]
Generated Node #0,3,0: 41:[38, 71] Operation: 34+37=71
Exploring Operation: 38-34=4, Resulting Numbers: [37, 4]
Generated Node #0,3,1: 41:[37, 4] Operation: 38-34=4
Exploring Operation: 38+34=72, Resulting Numbers: [37, 72]
Generated Node #0,3,2: 41:[37, 72] Operation: 38+34=72
Exploring Operation: 38+37=75, Resulting Numbers: [34, 75]
Generated Node #0,3,3: 41:[34, 75] Operation: 38+37=75
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 41:[38, 71], Operations: ['5+32=37', '34+37=71']
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 38*71=2698, Resulting Numbers: [2698]
2698,41 unequal: No Solution
Exploring Operation: 38+71=109, Resulting Numbers: [109]
109,41 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 #0,3,2
Current State: 41:[37, 72], Operations: ['5+32=37', '38+34=72']
Exploring Operation: 72-37=35, Resulting Numbers: [35]
35,41 unequal: No Solution
Exploring Operation: 37*72=2664, Resulting Numbers: [2664]
2664,41 unequal: No Solution
Exploring Operation: 37+72=109, Resulting Numbers: [109]
109,41 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 #0,3,1
Current State: 41:[37, 4], Operations: ['5+32=37', '38-34=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[5, 32, 38, 34], Operations: []
Exploring Operation: 5+32=37, Resulting Numbers: [38, 34, 37]
Generated Node #0,3: 41:[38, 34, 37] Operation: 5+32=37
Moving to Node #0,3
Current State: 41:[38, 34, 37], Operations: ['5+32=37']
Exploring Operation: 38-34=4, Resulting Numbers: [37, 4]
Generated Node #0,3,1: 41:[37, 4] Operation: 38-34=4
Moving to Node #0,3,1
Current State: 41:[37, 4], Operations: ['5+32=37', '38-34=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 |
hs_4
|
mult_heuristic
|
[
27,
24,
30,
16
] | 24 |
[
"30-27=3",
"24-16=8",
"3*8=24"
] |
Current State: 24:[27, 24, 30, 16], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [24, 16, 3]
Generated Node #2: [24, 16, 3] from Operation: 30-27=3
Current State: 24:[24, 16, 3], Operations: ['30-27=3']
Exploring Operation: 24-16=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 24-16=8
Current State: 24:[3, 8], Operations: ['30-27=3', '24-16=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[27, 24, 30, 16], Operations: []
Exploring Operation: 27-16=11, Resulting Numbers: [24, 30, 11]
Generated Node #0,0: 24:[24, 30, 11] Operation: 27-16=11
Exploring Operation: 30-24=6, Resulting Numbers: [27, 16, 6]
Generated Node #0,1: 24:[27, 16, 6] Operation: 30-24=6
Exploring Operation: 30-16=14, Resulting Numbers: [27, 24, 14]
Generated Node #0,2: 24:[27, 24, 14] Operation: 30-16=14
Exploring Operation: 30-27=3, Resulting Numbers: [24, 16, 3]
Generated Node #0,3: 24:[24, 16, 3] Operation: 30-27=3
Moving to Node #0,3
Current State: 24:[24, 16, 3], Operations: ['30-27=3']
Exploring Operation: 24-16=8, Resulting Numbers: [3, 8]
Generated Node #0,3,0: 24:[3, 8] Operation: 24-16=8
Exploring Operation: 16-3=13, Resulting Numbers: [24, 13]
Generated Node #0,3,1: 24:[24, 13] Operation: 16-3=13
Exploring Operation: 24/3=8, Resulting Numbers: [16, 8]
Generated Node #0,3,2: 24:[16, 8] Operation: 24/3=8
Exploring Operation: 16+3=19, Resulting Numbers: [24, 19]
Generated Node #0,3,3: 24:[24, 19] Operation: 16+3=19
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[3, 8], Operations: ['30-27=3', '24-16=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[27, 24, 30, 16], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [24, 16, 3]
Generated Node #0,3: 24:[24, 16, 3] Operation: 30-27=3
Moving to Node #0,3
Current State: 24:[24, 16, 3], Operations: ['30-27=3']
Exploring Operation: 24-16=8, Resulting Numbers: [3, 8]
Generated Node #0,3,0: 24:[3, 8] Operation: 24-16=8
Moving to Node #0,3,0
Current State: 24:[3, 8], Operations: ['30-27=3', '24-16=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
70,
78,
7,
11
] | 26 |
[
"78-70=8",
"7+11=18",
"8+18=26"
] |
Current State: 26:[70, 78, 7, 11], Operations: []
Exploring Operation: 78-70=8, Resulting Numbers: [7, 11, 8]
Generated Node #2: [7, 11, 8] from Operation: 78-70=8
Current State: 26:[7, 11, 8], Operations: ['78-70=8']
Exploring Operation: 7+11=18, Resulting Numbers: [8, 18]
Generated Node #3: [8, 18] from Operation: 7+11=18
Current State: 26:[8, 18], Operations: ['78-70=8', '7+11=18']
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[70, 78, 7, 11], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [78, 11, 10]
Generated Node #0,0: 26:[78, 11, 10] Operation: 70/7=10
Exploring Operation: 78-70=8, Resulting Numbers: [7, 11, 8]
Generated Node #0,1: 26:[7, 11, 8] Operation: 78-70=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[7, 11, 8], Operations: ['78-70=8']
Exploring Operation: 7+8=15, Resulting Numbers: [11, 15]
Generated Node #0,1,0: 26:[11, 15] Operation: 7+8=15
Exploring Operation: 8-7=1, Resulting Numbers: [11, 1]
Generated Node #0,1,1: 26:[11, 1] Operation: 8-7=1
Moving to Node #0,1,1
Current State: 26:[11, 1], Operations: ['78-70=8', '8-7=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,26 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[11, 15], Operations: ['78-70=8', '7+8=15']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[70, 78, 7, 11], Operations: []
Exploring Operation: 78-70=8, Resulting Numbers: [7, 11, 8]
Generated Node #0,1: 26:[7, 11, 8] Operation: 78-70=8
Moving to Node #0,1
Current State: 26:[7, 11, 8], Operations: ['78-70=8']
Exploring Operation: 7+8=15, Resulting Numbers: [11, 15]
Generated Node #0,1,0: 26:[11, 15] Operation: 7+8=15
Moving to Node #0,1,0
Current State: 26:[11, 15], Operations: ['78-70=8', '7+8=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_2
|
mult_heuristic
|
[
76,
74,
2,
68
] | 69 |
[
"76-74=2",
"2/2=1",
"68+1=69"
] |
Current State: 69:[76, 74, 2, 68], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [2, 68, 2]
Generated Node #2: [2, 68, 2] from Operation: 76-74=2
Current State: 69:[2, 68, 2], Operations: ['76-74=2']
Exploring Operation: 2/2=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 2/2=1
Current State: 69:[68, 1], Operations: ['76-74=2', '2/2=1']
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[76, 74, 2, 68], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [2, 68, 2]
Generated Node #0,0: 69:[2, 68, 2] Operation: 76-74=2
Moving to Node #0,0
Current State: 69:[2, 68, 2], Operations: ['76-74=2']
Exploring Operation: 2+68=70, Resulting Numbers: [2, 70]
Generated Node #0,0,0: 69:[2, 70] Operation: 2+68=70
Moving to Node #0,0,0
Current State: 69:[2, 70], Operations: ['76-74=2', '2+68=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,69 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
31,
30,
58,
9
] | 90 |
[
"58-31=27",
"30*27=810",
"810/9=90"
] |
Current State: 90:[31, 30, 58, 9], Operations: []
Exploring Operation: 58-31=27, Resulting Numbers: [30, 9, 27]
Generated Node #2: [30, 9, 27] from Operation: 58-31=27
Current State: 90:[30, 9, 27], Operations: ['58-31=27']
Exploring Operation: 30*27=810, Resulting Numbers: [9, 810]
Generated Node #3: [9, 810] from Operation: 30*27=810
Current State: 90:[9, 810], Operations: ['58-31=27', '30*27=810']
Exploring Operation: 810/9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[31, 30, 58, 9], Operations: []
Exploring Operation: 31+58=89, Resulting Numbers: [30, 9, 89]
Generated Node #0,0: 90:[30, 9, 89] Operation: 31+58=89
Moving to Node #0,0
Current State: 90:[30, 9, 89], Operations: ['31+58=89']
Exploring Operation: 30-9=21, Resulting Numbers: [89, 21]
Generated Node #0,0,0: 90:[89, 21] Operation: 30-9=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[89, 21], Operations: ['31+58=89', '30-9=21']
Exploring Operation: 89+21=110, Resulting Numbers: [110]
110,90 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,
79,
21,
21
] | 83 |
[
"3+79=82",
"21/21=1",
"82+1=83"
] |
Current State: 83:[3, 79, 21, 21], Operations: []
Exploring Operation: 3+79=82, Resulting Numbers: [21, 21, 82]
Generated Node #2: [21, 21, 82] from Operation: 3+79=82
Current State: 83:[21, 21, 82], Operations: ['3+79=82']
Exploring Operation: 21/21=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 21/21=1
Current State: 83:[82, 1], Operations: ['3+79=82', '21/21=1']
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[3, 79, 21, 21], Operations: []
Exploring Operation: 3*21=63, Resulting Numbers: [79, 21, 63]
Generated Node #0,0: 83:[79, 21, 63] Operation: 3*21=63
Moving to Node #0,0
Current State: 83:[79, 21, 63], Operations: ['3*21=63']
Exploring Operation: 21+63=84, Resulting Numbers: [79, 84]
Generated Node #0,0,0: 83:[79, 84] Operation: 21+63=84
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[79, 84], Operations: ['3*21=63', '21+63=84']
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
52,
43,
42,
47
] | 17 |
[
"52-47=5",
"43+42=85",
"85/5=17"
] |
Current State: 17:[52, 43, 42, 47], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [43, 42, 5]
Generated Node #2: [43, 42, 5] from Operation: 52-47=5
Current State: 17:[43, 42, 5], Operations: ['52-47=5']
Exploring Operation: 43+42=85, Resulting Numbers: [5, 85]
Generated Node #3: [5, 85] from Operation: 43+42=85
Current State: 17:[5, 85], Operations: ['52-47=5', '43+42=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[52, 43, 42, 47], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [52, 43, 5]
Generated Node #0,0: 17:[52, 43, 5] Operation: 47-42=5
Exploring Operation: 52-43=9, Resulting Numbers: [42, 47, 9]
Generated Node #0,1: 17:[42, 47, 9] Operation: 52-43=9
Exploring Operation: 47-43=4, Resulting Numbers: [52, 42, 4]
Generated Node #0,2: 17:[52, 42, 4] Operation: 47-43=4
Exploring Operation: 52-42=10, Resulting Numbers: [43, 47, 10]
Generated Node #0,3: 17:[43, 47, 10] Operation: 52-42=10
Exploring Operation: 52-47=5, Resulting Numbers: [43, 42, 5]
Generated Node #0,4: 17:[43, 42, 5] Operation: 52-47=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[42, 47, 9], Operations: ['52-43=9']
Exploring Operation: 47-9=38, Resulting Numbers: [42, 38]
Generated Node #0,1,0: 17:[42, 38] Operation: 47-9=38
Exploring Operation: 42-9=33, Resulting Numbers: [47, 33]
Generated Node #0,1,1: 17:[47, 33] Operation: 42-9=33
Exploring Operation: 42+9=51, Resulting Numbers: [47, 51]
Generated Node #0,1,2: 17:[47, 51] Operation: 42+9=51
Exploring Operation: 47-42=5, Resulting Numbers: [9, 5]
Generated Node #0,1,3: 17:[9, 5] Operation: 47-42=5
Exploring Operation: 47+9=56, Resulting Numbers: [42, 56]
Generated Node #0,1,4: 17:[42, 56] Operation: 47+9=56
Moving to Node #0,1,3
Current State: 17:[9, 5], Operations: ['52-43=9', '47-42=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,17 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[47, 33], Operations: ['52-43=9', '42-9=33']
Exploring Operation: 47*33=1551, Resulting Numbers: [1551]
1551,17 unequal: No Solution
Exploring Operation: 47+33=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[42, 38], Operations: ['52-43=9', '47-9=38']
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,17 unequal: No Solution
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[47, 51], Operations: ['52-43=9', '42+9=51']
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,17 unequal: No Solution
Exploring Operation: 47*51=2397, Resulting Numbers: [2397]
2397,17 unequal: No Solution
Moving to Node #0,1,4
Current State: 17:[42, 56], Operations: ['52-43=9', '47+9=56']
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,17 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[43, 47, 10], Operations: ['52-42=10']
Exploring Operation: 47-10=37, Resulting Numbers: [43, 37]
Generated Node #0,3,0: 17:[43, 37] Operation: 47-10=37
Exploring Operation: 47+10=57, Resulting Numbers: [43, 57]
Generated Node #0,3,1: 17:[43, 57] Operation: 47+10=57
Exploring Operation: 43+10=53, Resulting Numbers: [47, 53]
Generated Node #0,3,2: 17:[47, 53] Operation: 43+10=53
Exploring Operation: 47-43=4, Resulting Numbers: [10, 4]
Generated Node #0,3,3: 17:[10, 4] Operation: 47-43=4
Exploring Operation: 43-10=33, Resulting Numbers: [47, 33]
Generated Node #0,3,4: 17:[47, 33] Operation: 43-10=33
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 17:[10, 4], Operations: ['52-42=10', '47-43=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[43, 37], Operations: ['52-42=10', '47-10=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 43*37=1591, Resulting Numbers: [1591]
1591,17 unequal: No Solution
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 17:[47, 33], Operations: ['52-42=10', '43-10=33']
Exploring Operation: 47+33=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 47*33=1551, Resulting Numbers: [1551]
1551,17 unequal: No Solution
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[43, 57], Operations: ['52-42=10', '47+10=57']
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,17 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,17 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[47, 53], Operations: ['52-42=10', '43+10=53']
Exploring Operation: 47*53=2491, Resulting Numbers: [2491]
2491,17 unequal: No Solution
Exploring Operation: 53-47=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 47+53=100, Resulting Numbers: [100]
100,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 17:[43, 42, 5], Operations: ['52-47=5']
Exploring Operation: 42-5=37, Resulting Numbers: [43, 37]
Generated Node #0,4,0: 17:[43, 37] Operation: 42-5=37
Exploring Operation: 43+5=48, Resulting Numbers: [42, 48]
Generated Node #0,4,1: 17:[42, 48] Operation: 43+5=48
Exploring Operation: 42+5=47, Resulting Numbers: [43, 47]
Generated Node #0,4,2: 17:[43, 47] Operation: 42+5=47
Exploring Operation: 43-5=38, Resulting Numbers: [42, 38]
Generated Node #0,4,3: 17:[42, 38] Operation: 43-5=38
Exploring Operation: 43-42=1, Resulting Numbers: [5, 1]
Generated Node #0,4,4: 17:[5, 1] Operation: 43-42=1
Moving to Node #0,4,4
Current State: 17:[5, 1], Operations: ['52-47=5', '43-42=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Moving to Node #0,4,3
Current State: 17:[42, 38], Operations: ['52-47=5', '43-5=38']
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,17 unequal: No Solution
Moving to Node #0,4,0
Current State: 17:[43, 37], Operations: ['52-47=5', '42-5=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 43*37=1591, Resulting Numbers: [1591]
1591,17 unequal: No Solution
Moving to Node #0,4,1
Current State: 17:[42, 48], Operations: ['52-47=5', '43+5=48']
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,17 unequal: No Solution
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[43, 47], Operations: ['52-47=5', '42+5=47']
Exploring Operation: 43*47=2021, Resulting Numbers: [2021]
2021,17 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 43+47=90, Resulting Numbers: [90]
90,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[52, 43, 5], Operations: ['47-42=5']
Exploring Operation: 52-43=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 17:[5, 9] Operation: 52-43=9
Exploring Operation: 43+5=48, Resulting Numbers: [52, 48]
Generated Node #0,0,1: 17:[52, 48] Operation: 43+5=48
Exploring Operation: 43-5=38, Resulting Numbers: [52, 38]
Generated Node #0,0,2: 17:[52, 38] Operation: 43-5=38
Exploring Operation: 52+5=57, Resulting Numbers: [43, 57]
Generated Node #0,0,3: 17:[43, 57] Operation: 52+5=57
Exploring Operation: 52-5=47, Resulting Numbers: [43, 47]
Generated Node #0,0,4: 17:[43, 47] Operation: 52-5=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[5, 9], Operations: ['47-42=5', '52-43=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 17:[52, 38], Operations: ['47-42=5', '43-5=38']
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,17 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 17:[43, 47], Operations: ['47-42=5', '52-5=47']
Exploring Operation: 43+47=90, Resulting Numbers: [90]
90,17 unequal: No Solution
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 43*47=2021, Resulting Numbers: [2021]
2021,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[52, 48], Operations: ['47-42=5', '43+5=48']
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,17 unequal: No Solution
Exploring Operation: 52*48=2496, Resulting Numbers: [2496]
2496,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 17:[43, 57], Operations: ['47-42=5', '52+5=57']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,17 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[52, 42, 4], Operations: ['47-43=4']
Exploring Operation: 52-42=10, Resulting Numbers: [4, 10]
Generated Node #0,2,0: 17:[4, 10] Operation: 52-42=10
Exploring Operation: 52-4=48, Resulting Numbers: [42, 48]
Generated Node #0,2,1: 17:[42, 48] Operation: 52-4=48
Exploring Operation: 52+4=56, Resulting Numbers: [42, 56]
Generated Node #0,2,2: 17:[42, 56] Operation: 52+4=56
Exploring Operation: 52/4=13, Resulting Numbers: [42, 13]
Generated Node #0,2,3: 17:[42, 13] Operation: 52/4=13
Exploring Operation: 42-4=38, Resulting Numbers: [52, 38]
Generated Node #0,2,4: 17:[52, 38] Operation: 42-4=38
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 17:[4, 10], Operations: ['47-43=4', '52-42=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[42, 13], Operations: ['47-43=4', '52/4=13']
Exploring Operation: 42*13=546, Resulting Numbers: [546]
546,17 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[42, 48], Operations: ['47-43=4', '52-4=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,17 unequal: No Solution
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,17 unequal: No Solution
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 17:[52, 38], Operations: ['47-43=4', '42-4=38']
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,17 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[42, 56], Operations: ['47-43=4', '52+4=56']
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 42*56=2352, Resulting Numbers: [2352]
2352,17 unequal: No Solution
Exploring Operation: 42+56=98, Resulting Numbers: [98]
98,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
2,
7,
18,
18
] | 90 |
[
"2*18=36",
"7*18=126",
"126-36=90"
] |
Current State: 90:[2, 7, 18, 18], Operations: []
Exploring Operation: 2*18=36, Resulting Numbers: [7, 36]
Generated Node #2: [7, 36] from Operation: 2*18=36
Current State: 90:[7, 36], Operations: ['2*18=36']
Exploring Operation: 7*18=126, Resulting Numbers: [36, 126]
Generated Node #3: [36, 126] from Operation: 7*18=126
Current State: 90:[36, 126], Operations: ['2*18=36', '7*18=126']
Exploring Operation: 126-36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[2, 7, 18, 18], Operations: []
Exploring Operation: 2+7=9, Resulting Numbers: [18, 18, 9]
Generated Node #0,0: 90:[18, 18, 9] Operation: 2+7=9
Moving to Node #0,0
Current State: 90:[18, 18, 9], Operations: ['2+7=9']
Exploring Operation: 18-9=9, Resulting Numbers: [18, 9]
Generated Node #0,0,0: 90:[18, 9] Operation: 18-9=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[18, 9], Operations: ['2+7=9', '18-9=9']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,90 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
|
[
15,
24,
57,
3
] | 64 |
[
"15+57=72",
"24/3=8",
"72-8=64"
] |
Current State: 64:[15, 24, 57, 3], Operations: []
Exploring Operation: 15+57=72, Resulting Numbers: [24, 3, 72]
Generated Node #2: [24, 3, 72] from Operation: 15+57=72
Current State: 64:[24, 3, 72], Operations: ['15+57=72']
Exploring Operation: 24/3=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 24/3=8
Current State: 64:[72, 8], Operations: ['15+57=72', '24/3=8']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
Current State: 64:[15, 24, 57, 3], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [15, 3, 33]
Generated Node #0,0: 64:[15, 3, 33] Operation: 57-24=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[15, 3, 33], Operations: ['57-24=33']
Exploring Operation: 15/3=5, Resulting Numbers: [33, 5]
Generated Node #0,0,0: 64:[33, 5] Operation: 15/3=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[33, 5], Operations: ['57-24=33', '15/3=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
73,
63,
49,
27
] | 86 |
[
"73-63=10",
"49+27=76",
"10+76=86"
] |
Current State: 86:[73, 63, 49, 27], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [49, 27, 10]
Generated Node #2: [49, 27, 10] from Operation: 73-63=10
Current State: 86:[49, 27, 10], Operations: ['73-63=10']
Exploring Operation: 49+27=76, Resulting Numbers: [10, 76]
Generated Node #3: [10, 76] from Operation: 49+27=76
Current State: 86:[10, 76], Operations: ['73-63=10', '49+27=76']
Exploring Operation: 10+76=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[73, 63, 49, 27], Operations: []
Exploring Operation: 73+27=100, Resulting Numbers: [63, 49, 100]
Generated Node #0,0: 86:[63, 49, 100] Operation: 73+27=100
Exploring Operation: 63-27=36, Resulting Numbers: [73, 49, 36]
Generated Node #0,1: 86:[73, 49, 36] Operation: 63-27=36
Exploring Operation: 73-27=46, Resulting Numbers: [63, 49, 46]
Generated Node #0,2: 86:[63, 49, 46] Operation: 73-27=46
Exploring Operation: 63+27=90, Resulting Numbers: [73, 49, 90]
Generated Node #0,3: 86:[73, 49, 90] Operation: 63+27=90
Exploring Operation: 73-63=10, Resulting Numbers: [49, 27, 10]
Generated Node #0,4: 86:[49, 27, 10] Operation: 73-63=10
Moving to Node #0,3
Current State: 86:[73, 49, 90], Operations: ['63+27=90']
Exploring Operation: 73+49=122, Resulting Numbers: [90, 122]
Generated Node #0,3,0: 86:[90, 122] Operation: 73+49=122
Exploring Operation: 49+90=139, Resulting Numbers: [73, 139]
Generated Node #0,3,1: 86:[73, 139] Operation: 49+90=139
Exploring Operation: 90-49=41, Resulting Numbers: [73, 41]
Generated Node #0,3,2: 86:[73, 41] Operation: 90-49=41
Exploring Operation: 90-73=17, Resulting Numbers: [49, 17]
Generated Node #0,3,3: 86:[49, 17] Operation: 90-73=17
Exploring Operation: 73-49=24, Resulting Numbers: [90, 24]
Generated Node #0,3,4: 86:[90, 24] Operation: 73-49=24
Moving to Node #0,1
Current State: 86:[73, 49, 36], Operations: ['63-27=36']
Exploring Operation: 49-36=13, Resulting Numbers: [73, 13]
Generated Node #0,1,0: 86:[73, 13] Operation: 49-36=13
Exploring Operation: 73-49=24, Resulting Numbers: [36, 24]
Generated Node #0,1,1: 86:[36, 24] Operation: 73-49=24
Exploring Operation: 73-36=37, Resulting Numbers: [49, 37]
Generated Node #0,1,2: 86:[49, 37] Operation: 73-36=37
Exploring Operation: 73+36=109, Resulting Numbers: [49, 109]
Generated Node #0,1,3: 86:[49, 109] Operation: 73+36=109
Exploring Operation: 49+36=85, Resulting Numbers: [73, 85]
Generated Node #0,1,4: 86:[73, 85] Operation: 49+36=85
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[49, 37], Operations: ['63-27=36', '73-36=37']
Exploring Operation: 49*37=1813, Resulting Numbers: [1813]
1813,86 unequal: No Solution
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,86 unequal: No Solution
Exploring Operation: 49+37=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[73, 63, 49, 27], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [73, 49, 36]
Generated Node #0,1: 86:[73, 49, 36] Operation: 63-27=36
Moving to Node #0,1
Current State: 86:[73, 49, 36], Operations: ['63-27=36']
Exploring Operation: 73-36=37, Resulting Numbers: [49, 37]
Generated Node #0,1,2: 86:[49, 37] Operation: 73-36=37
Moving to Node #0,1,2
Current State: 86:[49, 37], Operations: ['63-27=36', '73-36=37']
Exploring Operation: 49+37=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 |
hs_5
|
mult_heuristic
|
[
85,
75,
2,
89
] | 94 |
[
"85-75=10",
"10/2=5",
"89+5=94"
] |
Current State: 94:[85, 75, 2, 89], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [2, 89, 10]
Generated Node #2: [2, 89, 10] from Operation: 85-75=10
Current State: 94:[2, 89, 10], Operations: ['85-75=10']
Exploring Operation: 10/2=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 10/2=5
Current State: 94:[89, 5], Operations: ['85-75=10', '10/2=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[85, 75, 2, 89], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [2, 89, 10]
Generated Node #0,0: 94:[2, 89, 10] Operation: 85-75=10
Exploring Operation: 89-85=4, Resulting Numbers: [75, 2, 4]
Generated Node #0,1: 94:[75, 2, 4] Operation: 89-85=4
Exploring Operation: 85+2=87, Resulting Numbers: [75, 89, 87]
Generated Node #0,2: 94:[75, 89, 87] Operation: 85+2=87
Exploring Operation: 89-75=14, Resulting Numbers: [85, 2, 14]
Generated Node #0,3: 94:[85, 2, 14] Operation: 89-75=14
Moving to Node #0,0
Current State: 94:[2, 89, 10], Operations: ['85-75=10']
Exploring Operation: 10/2=5, Resulting Numbers: [89, 5]
Generated Node #0,0,0: 94:[89, 5] Operation: 10/2=5
Exploring Operation: 10-2=8, Resulting Numbers: [89, 8]
Generated Node #0,0,1: 94:[89, 8] Operation: 10-2=8
Exploring Operation: 89+10=99, Resulting Numbers: [2, 99]
Generated Node #0,0,2: 94:[2, 99] Operation: 89+10=99
Exploring Operation: 2+89=91, Resulting Numbers: [10, 91]
Generated Node #0,0,3: 94:[10, 91] Operation: 2+89=91
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[2, 99], Operations: ['85-75=10', '89+10=99']
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 2+99=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 2*99=198, Resulting Numbers: [198]
198,94 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:[89, 5], Operations: ['85-75=10', '10/2=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,94 unequal: No Solution
Exploring Operation: 89*5=445, Resulting Numbers: [445]
445,94 unequal: No Solution
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[85, 75, 2, 89], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [2, 89, 10]
Generated Node #0,0: 94:[2, 89, 10] Operation: 85-75=10
Moving to Node #0,0
Current State: 94:[2, 89, 10], Operations: ['85-75=10']
Exploring Operation: 10/2=5, Resulting Numbers: [89, 5]
Generated Node #0,0,0: 94:[89, 5] Operation: 10/2=5
Moving to Node #0,0,0
Current State: 94:[89, 5], Operations: ['85-75=10', '10/2=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_4
|
mult_heuristic
|
[
51,
57,
6,
76
] | 88 |
[
"57-51=6",
"6+76=82",
"6+82=88"
] |
Current State: 88:[51, 57, 6, 76], Operations: []
Exploring Operation: 57-51=6, Resulting Numbers: [6, 76, 6]
Generated Node #2: [6, 76, 6] from Operation: 57-51=6
Current State: 88:[6, 76, 6], Operations: ['57-51=6']
Exploring Operation: 6+76=82, Resulting Numbers: [82]
82,88 equal: Goal Reached
Exploring Operation: 6+82=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[51, 57, 6, 76], Operations: []
Exploring Operation: 76-57=19, Resulting Numbers: [51, 6, 19]
Generated Node #0,0: 88:[51, 6, 19] Operation: 76-57=19
Exploring Operation: 76-51=25, Resulting Numbers: [57, 6, 25]
Generated Node #0,1: 88:[57, 6, 25] Operation: 76-51=25
Exploring Operation: 57-51=6, Resulting Numbers: [6, 76, 6]
Generated Node #0,2: 88:[6, 76, 6] Operation: 57-51=6
Exploring Operation: 51-6=45, Resulting Numbers: [57, 76, 45]
Generated Node #0,3: 88:[57, 76, 45] Operation: 51-6=45
Moving to Node #0,0
Current State: 88:[51, 6, 19], Operations: ['76-57=19']
Exploring Operation: 51-19=32, Resulting Numbers: [6, 32]
Generated Node #0,0,0: 88:[6, 32] Operation: 51-19=32
Exploring Operation: 6+19=25, Resulting Numbers: [51, 25]
Generated Node #0,0,1: 88:[51, 25] Operation: 6+19=25
Exploring Operation: 51-6=45, Resulting Numbers: [19, 45]
Generated Node #0,0,2: 88:[19, 45] Operation: 51-6=45
Exploring Operation: 19-6=13, Resulting Numbers: [51, 13]
Generated Node #0,0,3: 88:[51, 13] Operation: 19-6=13
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[19, 45], Operations: ['76-57=19', '51-6=45']
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,88 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,88 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:[51, 13], Operations: ['76-57=19', '19-6=13']
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,88 unequal: No Solution
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,88 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,88 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:[51, 25], Operations: ['76-57=19', '6+19=25']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,88 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,88 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:[6, 32], Operations: ['76-57=19', '51-19=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,88 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,88 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:[6, 76, 6], Operations: ['57-51=6']
Exploring Operation: 6/6=1, Resulting Numbers: [76, 1]
Generated Node #0,2,0: 88:[76, 1] Operation: 6/6=1
Exploring Operation: 6+6=12, Resulting Numbers: [76, 12]
Generated Node #0,2,1: 88:[76, 12] Operation: 6+6=12
Exploring Operation: 6+76=82, Resulting Numbers: [6, 82]
Generated Node #0,2,2: 88:[6, 82] Operation: 6+76=82
Exploring Operation: 76+6=82, Resulting Numbers: [6, 82]
Generated Node #0,2,3: 88:[6, 82] Operation: 76+6=82
Moving to Node #0,1
Current State: 88:[57, 6, 25], Operations: ['76-51=25']
Exploring Operation: 57-6=51, Resulting Numbers: [25, 51]
Generated Node #0,1,0: 88:[25, 51] Operation: 57-6=51
Exploring Operation: 57-25=32, Resulting Numbers: [6, 32]
Generated Node #0,1,1: 88:[6, 32] Operation: 57-25=32
Exploring Operation: 25-6=19, Resulting Numbers: [57, 19]
Generated Node #0,1,2: 88:[57, 19] Operation: 25-6=19
Exploring Operation: 57+25=82, Resulting Numbers: [6, 82]
Generated Node #0,1,3: 88:[6, 82] Operation: 57+25=82
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[6, 82], Operations: ['76-51=25', '57+25=82']
Exploring Operation: 6*82=492, Resulting Numbers: [492]
492,88 unequal: No Solution
Exploring Operation: 6+82=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[51, 57, 6, 76], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [57, 6, 25]
Generated Node #0,1: 88:[57, 6, 25] Operation: 76-51=25
Moving to Node #0,1
Current State: 88:[57, 6, 25], Operations: ['76-51=25']
Exploring Operation: 57+25=82, Resulting Numbers: [6, 82]
Generated Node #0,1,3: 88:[6, 82] Operation: 57+25=82
Moving to Node #0,1,3
Current State: 88:[6, 82], Operations: ['76-51=25', '57+25=82']
Exploring Operation: 6+82=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 |
hs_4
|
mult_heuristic
|
[
86,
8,
22,
11
] | 36 |
[
"86+22=108",
"11-8=3",
"108/3=36"
] |
Current State: 36:[86, 8, 22, 11], Operations: []
Exploring Operation: 86+22=108, Resulting Numbers: [8, 11, 108]
Generated Node #2: [8, 11, 108] from Operation: 86+22=108
Current State: 36:[8, 11, 108], Operations: ['86+22=108']
Exploring Operation: 11-8=3, Resulting Numbers: [108, 3]
Generated Node #3: [108, 3] from Operation: 11-8=3
Current State: 36:[108, 3], Operations: ['86+22=108', '11-8=3']
Exploring Operation: 108/3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
Current State: 36:[86, 8, 22, 11], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [86, 8, 2]
Generated Node #0,0: 36:[86, 8, 2] Operation: 22/11=2
Exploring Operation: 86-11=75, Resulting Numbers: [8, 22, 75]
Generated Node #0,1: 36:[8, 22, 75] Operation: 86-11=75
Exploring Operation: 86-22=64, Resulting Numbers: [8, 11, 64]
Generated Node #0,2: 36:[8, 11, 64] Operation: 86-22=64
Exploring Operation: 86-8=78, Resulting Numbers: [22, 11, 78]
Generated Node #0,3: 36:[22, 11, 78] Operation: 86-8=78
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[8, 11, 64], Operations: ['86-22=64']
Exploring Operation: 64/8=8, Resulting Numbers: [11, 8]
Generated Node #0,2,0: 36:[11, 8] Operation: 64/8=8
Exploring Operation: 11-8=3, Resulting Numbers: [64, 3]
Generated Node #0,2,1: 36:[64, 3] Operation: 11-8=3
Exploring Operation: 64-8=56, Resulting Numbers: [11, 56]
Generated Node #0,2,2: 36:[11, 56] Operation: 64-8=56
Exploring Operation: 64-11=53, Resulting Numbers: [8, 53]
Generated Node #0,2,3: 36:[8, 53] Operation: 64-11=53
Moving to Node #0,2,0
Current State: 36:[11, 8], Operations: ['86-22=64', '64/8=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,36 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[8, 53], Operations: ['86-22=64', '64-11=53']
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,36 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,36 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[11, 56], Operations: ['86-22=64', '64-8=56']
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,36 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[64, 3], Operations: ['86-22=64', '11-8=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,36 unequal: No Solution
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,36 unequal: No Solution
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,36 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 #0,1
Current State: 36:[8, 22, 75], Operations: ['86-11=75']
Exploring Operation: 22-8=14, Resulting Numbers: [75, 14]
Generated Node #0,1,0: 36:[75, 14] Operation: 22-8=14
Exploring Operation: 75-22=53, Resulting Numbers: [8, 53]
Generated Node #0,1,1: 36:[8, 53] Operation: 75-22=53
Exploring Operation: 8+22=30, Resulting Numbers: [75, 30]
Generated Node #0,1,2: 36:[75, 30] Operation: 8+22=30
Exploring Operation: 75-8=67, Resulting Numbers: [22, 67]
Generated Node #0,1,3: 36:[22, 67] Operation: 75-8=67
Moving to Node #0,1,1
Current State: 36:[8, 53], Operations: ['86-11=75', '75-22=53']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,36 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[22, 67], Operations: ['86-11=75', '75-8=67']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 22*67=1474, Resulting Numbers: [1474]
1474,36 unequal: No Solution
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[75, 14], Operations: ['86-11=75', '22-8=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,36 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,36 unequal: No Solution
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[75, 30], Operations: ['86-11=75', '8+22=30']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 75*30=2250, Resulting Numbers: [2250]
2250,36 unequal: No Solution
Exploring Operation: 75+30=105, Resulting Numbers: [105]
105,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[22, 11, 78], Operations: ['86-8=78']
Exploring Operation: 22/11=2, Resulting Numbers: [78, 2]
Generated Node #0,3,0: 36:[78, 2] Operation: 22/11=2
Exploring Operation: 22-11=11, Resulting Numbers: [78, 11]
Generated Node #0,3,1: 36:[78, 11] Operation: 22-11=11
Exploring Operation: 78-22=56, Resulting Numbers: [11, 56]
Generated Node #0,3,2: 36:[11, 56] Operation: 78-22=56
Exploring Operation: 78-11=67, Resulting Numbers: [22, 67]
Generated Node #0,3,3: 36:[22, 67] Operation: 78-11=67
Moving to Node #0,3,2
Current State: 36:[11, 56], Operations: ['86-8=78', '78-22=56']
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,36 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[22, 67], Operations: ['86-8=78', '78-11=67']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,36 unequal: No Solution
Exploring Operation: 22*67=1474, Resulting Numbers: [1474]
1474,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[78, 2], Operations: ['86-8=78', '22/11=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,36 unequal: No Solution
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,36 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[78, 11], Operations: ['86-8=78', '22-11=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,36 unequal: No Solution
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,36 unequal: No Solution
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,36 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 #0,0
Current State: 36:[86, 8, 2], Operations: ['22/11=2']
Exploring Operation: 8-2=6, Resulting Numbers: [86, 6]
Generated Node #0,0,0: 36:[86, 6] Operation: 8-2=6
Exploring Operation: 86/2=43, Resulting Numbers: [8, 43]
Generated Node #0,0,1: 36:[8, 43] Operation: 86/2=43
Exploring Operation: 86-2=84, Resulting Numbers: [8, 84]
Generated Node #0,0,2: 36:[8, 84] Operation: 86-2=84
Exploring Operation: 86-8=78, Resulting Numbers: [2, 78]
Generated Node #0,0,3: 36:[2, 78] Operation: 86-8=78
Moving to Node #0,0,1
Current State: 36:[8, 43], Operations: ['22/11=2', '86/2=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,36 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[2, 78], Operations: ['22/11=2', '86-8=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,36 unequal: No Solution
Exploring Operation: 2*78=156, Resulting Numbers: [156]
156,36 unequal: No Solution
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[8, 84], Operations: ['22/11=2', '86-2=84']
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,36 unequal: No Solution
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[86, 6], Operations: ['22/11=2', '8-2=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,36 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,36 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
|
[
48,
4,
43,
37
] | 57 |
[
"48+43=91",
"4*37=148",
"148-91=57"
] |
Current State: 57:[48, 4, 43, 37], Operations: []
Exploring Operation: 48+43=91, Resulting Numbers: [4, 37, 91]
Generated Node #2: [4, 37, 91] from Operation: 48+43=91
Current State: 57:[4, 37, 91], Operations: ['48+43=91']
Exploring Operation: 4*37=148, Resulting Numbers: [91, 148]
Generated Node #3: [91, 148] from Operation: 4*37=148
Current State: 57:[91, 148], Operations: ['48+43=91', '4*37=148']
Exploring Operation: 148-91=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
Current State: 57:[48, 4, 43, 37], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [4, 37, 5]
Generated Node #0,0: 57:[4, 37, 5] Operation: 48-43=5
Exploring Operation: 43-37=6, Resulting Numbers: [48, 4, 6]
Generated Node #0,1: 57:[48, 4, 6] Operation: 43-37=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[48, 4, 6], Operations: ['43-37=6']
Exploring Operation: 48+6=54, Resulting Numbers: [4, 54]
Generated Node #0,1,0: 57:[4, 54] Operation: 48+6=54
Exploring Operation: 48/6=8, Resulting Numbers: [4, 8]
Generated Node #0,1,1: 57:[4, 8] Operation: 48/6=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 57:[4, 54], Operations: ['43-37=6', '48+6=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,57 unequal: No Solution
No 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: 57:[4, 8], Operations: ['43-37=6', '48/6=8']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,57 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: 57:[4, 37, 5], Operations: ['48-43=5']
Exploring Operation: 37-4=33, Resulting Numbers: [5, 33]
Generated Node #0,0,0: 57:[5, 33] Operation: 37-4=33
Exploring Operation: 37-5=32, Resulting Numbers: [4, 32]
Generated Node #0,0,1: 57:[4, 32] Operation: 37-5=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 57:[4, 32], Operations: ['48-43=5', '37-5=32']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,57 unequal: No Solution
No 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: 57:[5, 33], Operations: ['48-43=5', '37-4=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,57 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,57 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
|
[
36,
54,
62,
23
] | 67 |
[
"54-36=18",
"62+23=85",
"85-18=67"
] |
Current State: 67:[36, 54, 62, 23], Operations: []
Exploring Operation: 54-36=18, Resulting Numbers: [62, 23, 18]
Generated Node #2: [62, 23, 18] from Operation: 54-36=18
Current State: 67:[62, 23, 18], Operations: ['54-36=18']
Exploring Operation: 62+23=85, Resulting Numbers: [18, 85]
Generated Node #3: [18, 85] from Operation: 62+23=85
Current State: 67:[18, 85], Operations: ['54-36=18', '62+23=85']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[36, 54, 62, 23], Operations: []
Exploring Operation: 54+23=77, Resulting Numbers: [36, 62, 77]
Generated Node #0,0: 67:[36, 62, 77] Operation: 54+23=77
Exploring Operation: 36+23=59, Resulting Numbers: [54, 62, 59]
Generated Node #0,1: 67:[54, 62, 59] Operation: 36+23=59
Moving to Node #0,1
Current State: 67:[54, 62, 59], Operations: ['36+23=59']
Exploring Operation: 54+62=116, Resulting Numbers: [59, 116]
Generated Node #0,1,0: 67:[59, 116] Operation: 54+62=116
Exploring Operation: 54+59=113, Resulting Numbers: [62, 113]
Generated Node #0,1,1: 67:[62, 113] Operation: 54+59=113
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[62, 113], Operations: ['36+23=59', '54+59=113']
Exploring Operation: 62+113=175, Resulting Numbers: [175]
175,67 unequal: No Solution
Exploring Operation: 113-62=51, Resulting Numbers: [51]
51,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[59, 116], Operations: ['36+23=59', '54+62=116']
Exploring Operation: 116-59=57, Resulting Numbers: [57]
57,67 unequal: No Solution
Exploring Operation: 59+116=175, Resulting Numbers: [175]
175,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 67:[36, 62, 77], Operations: ['54+23=77']
Exploring Operation: 77-36=41, Resulting Numbers: [62, 41]
Generated Node #0,0,0: 67:[62, 41] Operation: 77-36=41
Exploring Operation: 36+62=98, Resulting Numbers: [77, 98]
Generated Node #0,0,1: 67:[77, 98] Operation: 36+62=98
Moving to Node #0,0,0
Current State: 67:[62, 41], Operations: ['54+23=77', '77-36=41']
Exploring Operation: 62+41=103, Resulting Numbers: [103]
103,67 unequal: No Solution
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[77, 98], Operations: ['54+23=77', '36+62=98']
Exploring Operation: 77+98=175, Resulting Numbers: [175]
175,67 unequal: No Solution
Exploring Operation: 98-77=21, Resulting Numbers: [21]
21,67 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
78,
34,
23,
43
] | 46 |
[
"78+34=112",
"23+43=66",
"112-66=46"
] |
Current State: 46:[78, 34, 23, 43], Operations: []
Exploring Operation: 78+34=112, Resulting Numbers: [23, 43, 112]
Generated Node #2: [23, 43, 112] from Operation: 78+34=112
Current State: 46:[23, 43, 112], Operations: ['78+34=112']
Exploring Operation: 23+43=66, Resulting Numbers: [112, 66]
Generated Node #3: [112, 66] from Operation: 23+43=66
Current State: 46:[112, 66], Operations: ['78+34=112', '23+43=66']
Exploring Operation: 112-66=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[78, 34, 23, 43], Operations: []
Exploring Operation: 78-23=55, Resulting Numbers: [34, 43, 55]
Generated Node #0,0: 46:[34, 43, 55] Operation: 78-23=55
Exploring Operation: 43-34=9, Resulting Numbers: [78, 23, 9]
Generated Node #0,1: 46:[78, 23, 9] Operation: 43-34=9
Exploring Operation: 34-23=11, Resulting Numbers: [78, 43, 11]
Generated Node #0,2: 46:[78, 43, 11] Operation: 34-23=11
Exploring Operation: 78-34=44, Resulting Numbers: [23, 43, 44]
Generated Node #0,3: 46:[23, 43, 44] Operation: 78-34=44
Exploring Operation: 78-43=35, Resulting Numbers: [34, 23, 35]
Generated Node #0,4: 46:[34, 23, 35] Operation: 78-43=35
Moving to Node #0,3
Current State: 46:[23, 43, 44], Operations: ['78-34=44']
Exploring Operation: 23+44=67, Resulting Numbers: [43, 67]
Generated Node #0,3,0: 46:[43, 67] Operation: 23+44=67
Exploring Operation: 43-23=20, Resulting Numbers: [44, 20]
Generated Node #0,3,1: 46:[44, 20] Operation: 43-23=20
Exploring Operation: 23+43=66, Resulting Numbers: [44, 66]
Generated Node #0,3,2: 46:[44, 66] Operation: 23+43=66
Exploring Operation: 44-43=1, Resulting Numbers: [23, 1]
Generated Node #0,3,3: 46:[23, 1] Operation: 44-43=1
Exploring Operation: 44-23=21, Resulting Numbers: [43, 21]
Generated Node #0,3,4: 46:[43, 21] Operation: 44-23=21
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[23, 1], Operations: ['78-34=44', '44-43=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 46:[44, 20], Operations: ['78-34=44', '43-23=20']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,46 unequal: No Solution
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 46:[43, 21], Operations: ['78-34=44', '44-23=21']
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,46 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 46:[44, 66], Operations: ['78-34=44', '23+43=66']
Exploring Operation: 44*66=2904, Resulting Numbers: [2904]
2904,46 unequal: No Solution
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 44+66=110, Resulting Numbers: [110]
110,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 46:[43, 67], Operations: ['78-34=44', '23+44=67']
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,46 unequal: No Solution
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,46 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,46 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: 46:[34, 23, 35], Operations: ['78-43=35']
Exploring Operation: 34+35=69, Resulting Numbers: [23, 69]
Generated Node #0,4,0: 46:[23, 69] Operation: 34+35=69
Exploring Operation: 34-23=11, Resulting Numbers: [35, 11]
Generated Node #0,4,1: 46:[35, 11] Operation: 34-23=11
Exploring Operation: 35-23=12, Resulting Numbers: [34, 12]
Generated Node #0,4,2: 46:[34, 12] Operation: 35-23=12
Exploring Operation: 35-34=1, Resulting Numbers: [23, 1]
Generated Node #0,4,3: 46:[23, 1] Operation: 35-34=1
Exploring Operation: 34+23=57, Resulting Numbers: [35, 57]
Generated Node #0,4,4: 46:[35, 57] Operation: 34+23=57
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 46:[23, 1], Operations: ['78-43=35', '35-34=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 46:[35, 11], Operations: ['78-43=35', '34-23=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[78, 34, 23, 43], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [34, 23, 35]
Generated Node #0,4: 46:[34, 23, 35] Operation: 78-43=35
Moving to Node #0,4
Current State: 46:[34, 23, 35], Operations: ['78-43=35']
Exploring Operation: 34-23=11, Resulting Numbers: [35, 11]
Generated Node #0,4,1: 46:[35, 11] Operation: 34-23=11
Moving to Node #0,4,1
Current State: 46:[35, 11], Operations: ['78-43=35', '34-23=11']
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 |
hs_5
|
mult_heuristic
|
[
60,
82,
61,
6
] | 77 |
[
"82-60=22",
"61-6=55",
"22+55=77"
] |
Current State: 77:[60, 82, 61, 6], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [61, 6, 22]
Generated Node #2: [61, 6, 22] from Operation: 82-60=22
Current State: 77:[61, 6, 22], Operations: ['82-60=22']
Exploring Operation: 61-6=55, Resulting Numbers: [22, 55]
Generated Node #3: [22, 55] from Operation: 61-6=55
Current State: 77:[22, 55], Operations: ['82-60=22', '61-6=55']
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
Current State: 77:[60, 82, 61, 6], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [61, 6, 22]
Generated Node #0,0: 77:[61, 6, 22] Operation: 82-60=22
Exploring Operation: 60/6=10, Resulting Numbers: [82, 61, 10]
Generated Node #0,1: 77:[82, 61, 10] Operation: 60/6=10
Exploring Operation: 82-61=21, Resulting Numbers: [60, 6, 21]
Generated Node #0,2: 77:[60, 6, 21] Operation: 82-61=21
Exploring Operation: 61-60=1, Resulting Numbers: [82, 6, 1]
Generated Node #0,3: 77:[82, 6, 1] Operation: 61-60=1
Moving to Node #0,3
Current State: 77:[82, 6, 1], Operations: ['61-60=1']
Exploring Operation: 82-1=81, Resulting Numbers: [6, 81]
Generated Node #0,3,0: 77:[6, 81] Operation: 82-1=81
Exploring Operation: 6+1=7, Resulting Numbers: [82, 7]
Generated Node #0,3,1: 77:[82, 7] Operation: 6+1=7
Exploring Operation: 82/1=82, Resulting Numbers: [6, 82]
Generated Node #0,3,2: 77:[6, 82] Operation: 82/1=82
Exploring Operation: 82*1=82, Resulting Numbers: [6, 82]
Generated Node #0,3,3: 77:[6, 82] Operation: 82*1=82
Moving to Node #0,1
Current State: 77:[82, 61, 10], Operations: ['60/6=10']
Exploring Operation: 82-10=72, Resulting Numbers: [61, 72]
Generated Node #0,1,0: 77:[61, 72] Operation: 82-10=72
Exploring Operation: 61+10=71, Resulting Numbers: [82, 71]
Generated Node #0,1,1: 77:[82, 71] Operation: 61+10=71
Exploring Operation: 82-61=21, Resulting Numbers: [10, 21]
Generated Node #0,1,2: 77:[10, 21] Operation: 82-61=21
Exploring Operation: 82+10=92, Resulting Numbers: [61, 92]
Generated Node #0,1,3: 77:[61, 92] Operation: 82+10=92
Moving to Node #0,2
Current State: 77:[60, 6, 21], Operations: ['82-61=21']
Exploring Operation: 60+6=66, Resulting Numbers: [21, 66]
Generated Node #0,2,0: 77:[21, 66] Operation: 60+6=66
Exploring Operation: 60+21=81, Resulting Numbers: [6, 81]
Generated Node #0,2,1: 77:[6, 81] Operation: 60+21=81
Exploring Operation: 21-6=15, Resulting Numbers: [60, 15]
Generated Node #0,2,2: 77:[60, 15] Operation: 21-6=15
Exploring Operation: 60/6=10, Resulting Numbers: [21, 10]
Generated Node #0,2,3: 77:[21, 10] Operation: 60/6=10
Moving to Node #0,0
Current State: 77:[61, 6, 22], Operations: ['82-60=22']
Exploring Operation: 61-22=39, Resulting Numbers: [6, 39]
Generated Node #0,0,0: 77:[6, 39] Operation: 61-22=39
Exploring Operation: 61+22=83, Resulting Numbers: [6, 83]
Generated Node #0,0,1: 77:[6, 83] Operation: 61+22=83
Exploring Operation: 22-6=16, Resulting Numbers: [61, 16]
Generated Node #0,0,2: 77:[61, 16] Operation: 22-6=16
Exploring Operation: 61+6=67, Resulting Numbers: [22, 67]
Generated Node #0,0,3: 77:[22, 67] Operation: 61+6=67
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[6, 83], Operations: ['82-60=22', '61+22=83']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[60, 82, 61, 6], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [61, 6, 22]
Generated Node #0,0: 77:[61, 6, 22] Operation: 82-60=22
Moving to Node #0,0
Current State: 77:[61, 6, 22], Operations: ['82-60=22']
Exploring Operation: 61+22=83, Resulting Numbers: [6, 83]
Generated Node #0,0,1: 77:[6, 83] Operation: 61+22=83
Moving to Node #0,0,1
Current State: 77:[6, 83], Operations: ['82-60=22', '61+22=83']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 |
hs_4
|
mult_heuristic
|
[
21,
73,
12,
70
] | 25 |
[
"73-70=3",
"12/3=4",
"21+4=25"
] |
Current State: 25:[21, 73, 12, 70], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [21, 12, 3]
Generated Node #2: [21, 12, 3] from Operation: 73-70=3
Current State: 25:[21, 12, 3], Operations: ['73-70=3']
Exploring Operation: 12/3=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 12/3=4
Current State: 25:[21, 4], Operations: ['73-70=3', '12/3=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[21, 73, 12, 70], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [21, 12, 3]
Generated Node #0,0: 25:[21, 12, 3] Operation: 73-70=3
Moving to Node #0,0
Current State: 25:[21, 12, 3], Operations: ['73-70=3']
Exploring Operation: 12/3=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 25:[21, 4] Operation: 12/3=4
Moving to Node #0,0,0
Current State: 25:[21, 4], Operations: ['73-70=3', '12/3=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[21, 73, 12, 70], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [21, 12, 3]
Generated Node #0,0: 25:[21, 12, 3] Operation: 73-70=3
Moving to Node #0,0
Current State: 25:[21, 12, 3], Operations: ['73-70=3']
Exploring Operation: 12/3=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 25:[21, 4] Operation: 12/3=4
Moving to Node #0,0,0
Current State: 25:[21, 4], Operations: ['73-70=3', '12/3=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.993924 |
hs_1
|
sum_heuristic
|
[
4,
52,
74,
2
] | 13 |
[
"52-4=48",
"74-48=26",
"26/2=13"
] |
Current State: 13:[4, 52, 74, 2], Operations: []
Exploring Operation: 52-4=48, Resulting Numbers: [74, 2, 48]
Generated Node #2: [74, 2, 48] from Operation: 52-4=48
Current State: 13:[74, 2, 48], Operations: ['52-4=48']
Exploring Operation: 74-48=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 74-48=26
Current State: 13:[2, 26], Operations: ['52-4=48', '74-48=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
Current State: 13:[4, 52, 74, 2], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [4, 74, 26]
Generated Node #0,0: 13:[4, 74, 26] Operation: 52/2=26
Exploring Operation: 74-52=22, Resulting Numbers: [4, 2, 22]
Generated Node #0,1: 13:[4, 2, 22] Operation: 74-52=22
Exploring Operation: 4*2=8, Resulting Numbers: [52, 74, 8]
Generated Node #0,2: 13:[52, 74, 8] Operation: 4*2=8
Exploring Operation: 52/4=13, Resulting Numbers: [74, 2, 13]
Generated Node #0,3: 13:[74, 2, 13] Operation: 52/4=13
Exploring Operation: 74/2=37, Resulting Numbers: [4, 52, 37]
Generated Node #0,4: 13:[4, 52, 37] Operation: 74/2=37
Moving to Node #0,1
Current State: 13:[4, 2, 22], Operations: ['74-52=22']
Exploring Operation: 4*2=8, Resulting Numbers: [22, 8]
Generated Node #0,1,0: 13:[22, 8] Operation: 4*2=8
Exploring Operation: 22/2=11, Resulting Numbers: [4, 11]
Generated Node #0,1,1: 13:[4, 11] Operation: 22/2=11
Exploring Operation: 22-2=20, Resulting Numbers: [4, 20]
Generated Node #0,1,2: 13:[4, 20] Operation: 22-2=20
Exploring Operation: 4+2=6, Resulting Numbers: [22, 6]
Generated Node #0,1,3: 13:[22, 6] Operation: 4+2=6
Exploring Operation: 22-4=18, Resulting Numbers: [2, 18]
Generated Node #0,1,4: 13:[2, 18] Operation: 22-4=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[4, 11], Operations: ['74-52=22', '22/2=11']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 4+11=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 #0,1,0
Current State: 13:[22, 8], Operations: ['74-52=22', '4*2=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,13 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[4, 20], Operations: ['74-52=22', '22-2=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,13 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 13:[22, 6], Operations: ['74-52=22', '4+2=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,13 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 13:[2, 18], Operations: ['74-52=22', '22-4=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,13 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: 13:[4, 52, 37], Operations: ['74/2=37']
Exploring Operation: 52-4=48, Resulting Numbers: [37, 48]
Generated Node #0,4,0: 13:[37, 48] Operation: 52-4=48
Exploring Operation: 37-4=33, Resulting Numbers: [52, 33]
Generated Node #0,4,1: 13:[52, 33] Operation: 37-4=33
Exploring Operation: 4+52=56, Resulting Numbers: [37, 56]
Generated Node #0,4,2: 13:[37, 56] Operation: 4+52=56
Exploring Operation: 52/4=13, Resulting Numbers: [37, 13]
Generated Node #0,4,3: 13:[37, 13] Operation: 52/4=13
Exploring Operation: 52-37=15, Resulting Numbers: [4, 15]
Generated Node #0,4,4: 13:[4, 15] Operation: 52-37=15
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 13:[4, 15], Operations: ['74/2=37', '52-37=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,13 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,13 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:[37, 13], Operations: ['74/2=37', '52/4=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,13 unequal: No Solution
Exploring Operation: 37*13=481, Resulting Numbers: [481]
481,13 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,13 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:[37, 48], Operations: ['74/2=37', '52-4=48']
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 37+48=85, Resulting Numbers: [85]
85,13 unequal: No Solution
Exploring Operation: 37*48=1776, Resulting Numbers: [1776]
1776,13 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:[52, 33], Operations: ['74/2=37', '37-4=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,13 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,13 unequal: No Solution
Exploring Operation: 52*33=1716, Resulting Numbers: [1716]
1716,13 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 #0,4,2
Current State: 13:[37, 56], Operations: ['74/2=37', '4+52=56']
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,13 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,13 unequal: No Solution
Exploring Operation: 37*56=2072, Resulting Numbers: [2072]
2072,13 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: 13:[74, 2, 13], Operations: ['52/4=13']
Exploring Operation: 74-2=72, Resulting Numbers: [13, 72]
Generated Node #0,3,0: 13:[13, 72] Operation: 74-2=72
Exploring Operation: 74-13=61, Resulting Numbers: [2, 61]
Generated Node #0,3,1: 13:[2, 61] Operation: 74-13=61
Exploring Operation: 74+2=76, Resulting Numbers: [13, 76]
Generated Node #0,3,2: 13:[13, 76] Operation: 74+2=76
Exploring Operation: 74/2=37, Resulting Numbers: [13, 37]
Generated Node #0,3,3: 13:[13, 37] Operation: 74/2=37
Exploring Operation: 2+13=15, Resulting Numbers: [74, 15]
Generated Node #0,3,4: 13:[74, 15] Operation: 2+13=15
Moving to Node #0,0
Current State: 13:[4, 74, 26], Operations: ['52/2=26']
Exploring Operation: 4+74=78, Resulting Numbers: [26, 78]
Generated Node #0,0,0: 13:[26, 78] Operation: 4+74=78
Exploring Operation: 74-4=70, Resulting Numbers: [26, 70]
Generated Node #0,0,1: 13:[26, 70] Operation: 74-4=70
Exploring Operation: 74-26=48, Resulting Numbers: [4, 48]
Generated Node #0,0,2: 13:[4, 48] Operation: 74-26=48
Exploring Operation: 4+26=30, Resulting Numbers: [74, 30]
Generated Node #0,0,3: 13:[74, 30] Operation: 4+26=30
Exploring Operation: 26-4=22, Resulting Numbers: [74, 22]
Generated Node #0,0,4: 13:[74, 22] Operation: 26-4=22
Moving to Node #0,2
Current State: 13:[52, 74, 8], Operations: ['4*2=8']
Exploring Operation: 74+8=82, Resulting Numbers: [52, 82]
Generated Node #0,2,0: 13:[52, 82] Operation: 74+8=82
Exploring Operation: 74-8=66, Resulting Numbers: [52, 66]
Generated Node #0,2,1: 13:[52, 66] Operation: 74-8=66
Exploring Operation: 52+8=60, Resulting Numbers: [74, 60]
Generated Node #0,2,2: 13:[74, 60] Operation: 52+8=60
Exploring Operation: 52-8=44, Resulting Numbers: [74, 44]
Generated Node #0,2,3: 13:[74, 44] Operation: 52-8=44
Exploring Operation: 74-52=22, Resulting Numbers: [8, 22]
Generated Node #0,2,4: 13:[8, 22] Operation: 74-52=22
Moving to Node #0,2,4
Current State: 13:[8, 22], Operations: ['4*2=8', '74-52=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,13 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[13, 37], Operations: ['52/4=13', '74/2=37']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,13 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[4, 48], Operations: ['52/2=26', '74-26=48']
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,13 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Moving to Node #0,3,1
Current State: 13:[2, 61], Operations: ['52/4=13', '74-13=61']
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,13 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[13, 72], Operations: ['52/4=13', '74-2=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,13 unequal: No Solution
Exploring Operation: 13*72=936, Resulting Numbers: [936]
936,13 unequal: No Solution
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,13 unequal: No Solution
Moving to Node #0,3,4
Current State: 13:[74, 15], Operations: ['52/4=13', '2+13=15']
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,13 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,13 unequal: No Solution
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,13 unequal: No Solution
Moving to Node #0,3,2
Current State: 13:[13, 76], Operations: ['52/4=13', '74+2=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,13 unequal: No Solution
Exploring Operation: 13*76=988, Resulting Numbers: [988]
988,13 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[26, 70], Operations: ['52/2=26', '74-4=70']
Exploring Operation: 26+70=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 26*70=1820, Resulting Numbers: [1820]
1820,13 unequal: No Solution
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Moving to Node #0,0,4
Current State: 13:[74, 22], Operations: ['52/2=26', '26-4=22']
Exploring Operation: 74*22=1628, Resulting Numbers: [1628]
1628,13 unequal: No Solution
Exploring Operation: 74+22=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[74, 30], Operations: ['52/2=26', '4+26=30']
Exploring Operation: 74*30=2220, Resulting Numbers: [2220]
2220,13 unequal: No Solution
Exploring Operation: 74+30=104, Resulting Numbers: [104]
104,13 unequal: No Solution
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[26, 78], Operations: ['52/2=26', '4+74=78']
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 26+78=104, Resulting Numbers: [104]
104,13 unequal: No Solution
Exploring Operation: 26*78=2028, Resulting Numbers: [2028]
2028,13 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Moving to Node #0,2,3
Current State: 13:[74, 44], Operations: ['4*2=8', '52-8=44']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,13 unequal: No Solution
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[52, 66], Operations: ['4*2=8', '74-8=66']
Exploring Operation: 52+66=118, Resulting Numbers: [118]
118,13 unequal: No Solution
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 52*66=3432, Resulting Numbers: [3432]
3432,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[52, 82], Operations: ['4*2=8', '74+8=82']
Exploring Operation: 52+82=134, Resulting Numbers: [134]
134,13 unequal: No Solution
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,13 unequal: No Solution
Exploring Operation: 52*82=4264, Resulting Numbers: [4264]
4264,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[74, 60], Operations: ['4*2=8', '52+8=60']
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,13 unequal: No Solution
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,13 unequal: No Solution
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,13 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
22,
36,
27,
7
] | 34 |
[
"36-22=14",
"27-7=20",
"14+20=34"
] |
Current State: 34:[22, 36, 27, 7], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [27, 7, 14]
Generated Node #2: [27, 7, 14] from Operation: 36-22=14
Current State: 34:[27, 7, 14], Operations: ['36-22=14']
Exploring Operation: 27-7=20, Resulting Numbers: [14, 20]
Generated Node #3: [14, 20] from Operation: 27-7=20
Current State: 34:[14, 20], Operations: ['36-22=14', '27-7=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[22, 36, 27, 7], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [36, 7, 5]
Generated Node #0,0: 34:[36, 7, 5] Operation: 27-22=5
Exploring Operation: 27-7=20, Resulting Numbers: [22, 36, 20]
Generated Node #0,1: 34:[22, 36, 20] Operation: 27-7=20
Exploring Operation: 22+7=29, Resulting Numbers: [36, 27, 29]
Generated Node #0,2: 34:[36, 27, 29] Operation: 22+7=29
Exploring Operation: 27+7=34, Resulting Numbers: [22, 36, 34]
Generated Node #0,3: 34:[22, 36, 34] Operation: 27+7=34
Exploring Operation: 22-7=15, Resulting Numbers: [36, 27, 15]
Generated Node #0,4: 34:[36, 27, 15] Operation: 22-7=15
Moving to Node #0,3
Current State: 34:[22, 36, 34], Operations: ['27+7=34']
Exploring Operation: 22+36=58, Resulting Numbers: [34, 58]
Generated Node #0,3,0: 34:[34, 58] Operation: 22+36=58
Exploring Operation: 22+34=56, Resulting Numbers: [36, 56]
Generated Node #0,3,1: 34:[36, 56] Operation: 22+34=56
Exploring Operation: 34-22=12, Resulting Numbers: [36, 12]
Generated Node #0,3,2: 34:[36, 12] Operation: 34-22=12
Exploring Operation: 36-34=2, Resulting Numbers: [22, 2]
Generated Node #0,3,3: 34:[22, 2] Operation: 36-34=2
Exploring Operation: 36-22=14, Resulting Numbers: [34, 14]
Generated Node #0,3,4: 34:[34, 14] Operation: 36-22=14
Moving to Node #0,1
Current State: 34:[22, 36, 20], Operations: ['27-7=20']
Exploring Operation: 22+20=42, Resulting Numbers: [36, 42]
Generated Node #0,1,0: 34:[36, 42] Operation: 22+20=42
Exploring Operation: 22-20=2, Resulting Numbers: [36, 2]
Generated Node #0,1,1: 34:[36, 2] Operation: 22-20=2
Exploring Operation: 36-20=16, Resulting Numbers: [22, 16]
Generated Node #0,1,2: 34:[22, 16] Operation: 36-20=16
Exploring Operation: 22+36=58, Resulting Numbers: [20, 58]
Generated Node #0,1,3: 34:[20, 58] Operation: 22+36=58
Exploring Operation: 36-22=14, Resulting Numbers: [20, 14]
Generated Node #0,1,4: 34:[20, 14] Operation: 36-22=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[36, 2], Operations: ['27-7=20', '22-20=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,34 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,34 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[22, 36, 27, 7], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [22, 36, 20]
Generated Node #0,1: 34:[22, 36, 20] Operation: 27-7=20
Moving to Node #0,1
Current State: 34:[22, 36, 20], Operations: ['27-7=20']
Exploring Operation: 22-20=2, Resulting Numbers: [36, 2]
Generated Node #0,1,1: 34:[36, 2] Operation: 22-20=2
Moving to Node #0,1,1
Current State: 34:[36, 2], Operations: ['27-7=20', '22-20=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 |
hs_5
|
mult_heuristic
|
[
8,
92,
52,
99
] | 51 |
[
"8+92=100",
"52+99=151",
"151-100=51"
] |
Current State: 51:[8, 92, 52, 99], Operations: []
Exploring Operation: 8+92=100, Resulting Numbers: [52, 99, 100]
Generated Node #2: [52, 99, 100] from Operation: 8+92=100
Current State: 51:[52, 99, 100], Operations: ['8+92=100']
Exploring Operation: 52+99=151, Resulting Numbers: [100, 151]
Generated Node #3: [100, 151] from Operation: 52+99=151
Current State: 51:[100, 151], Operations: ['8+92=100', '52+99=151']
Exploring Operation: 151-100=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[8, 92, 52, 99], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [8, 52, 7]
Generated Node #0,0: 51:[8, 52, 7] Operation: 99-92=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[8, 52, 7], Operations: ['99-92=7']
Exploring Operation: 8+7=15, Resulting Numbers: [52, 15]
Generated Node #0,0,0: 51:[52, 15] Operation: 8+7=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[52, 15], Operations: ['99-92=7', '8+7=15']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
54,
72,
44,
18
] | 46 |
[
"54-18=36",
"72/36=2",
"44+2=46"
] |
Current State: 46:[54, 72, 44, 18], Operations: []
Exploring Operation: 54-18=36, Resulting Numbers: [72, 44, 36]
Generated Node #2: [72, 44, 36] from Operation: 54-18=36
Current State: 46:[72, 44, 36], Operations: ['54-18=36']
Exploring Operation: 72/36=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 72/36=2
Current State: 46:[44, 2], Operations: ['54-18=36', '72/36=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[54, 72, 44, 18], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [44, 18, 18]
Generated Node #0,0: 46:[44, 18, 18] Operation: 72-54=18
Exploring Operation: 72/18=4, Resulting Numbers: [54, 44, 4]
Generated Node #0,1: 46:[54, 44, 4] Operation: 72/18=4
Moving to Node #0,0
Current State: 46:[44, 18, 18], Operations: ['72-54=18']
Exploring Operation: 18-18=0, Resulting Numbers: [44, 0]
Generated Node #0,0,0: 46:[44, 0] Operation: 18-18=0
Exploring Operation: 18/18=1, Resulting Numbers: [44, 1]
Generated Node #0,0,1: 46:[44, 1] Operation: 18/18=1
Moving to Node #0,1
Current State: 46:[54, 44, 4], Operations: ['72/18=4']
Exploring Operation: 54-4=50, Resulting Numbers: [44, 50]
Generated Node #0,1,0: 46:[44, 50] Operation: 54-4=50
Exploring Operation: 54-44=10, Resulting Numbers: [4, 10]
Generated Node #0,1,1: 46:[4, 10] Operation: 54-44=10
Moving to Node #0,0,1
Current State: 46:[44, 1], Operations: ['72-54=18', '18/18=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[44, 0], Operations: ['72-54=18', '18-18=0']
Exploring Operation: 44+0=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 44*0=0, Resulting Numbers: [0]
0,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[44, 50], Operations: ['72/18=4', '54-4=50']
Exploring Operation: 44+50=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 50-44=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[4, 10], Operations: ['72/18=4', '54-44=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,46 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
62,
26,
46,
24
] | 69 |
[
"62-26=36",
"46*36=1656",
"1656/24=69"
] |
Current State: 69:[62, 26, 46, 24], Operations: []
Exploring Operation: 62-26=36, Resulting Numbers: [46, 24, 36]
Generated Node #2: [46, 24, 36] from Operation: 62-26=36
Current State: 69:[46, 24, 36], Operations: ['62-26=36']
Exploring Operation: 46*36=1656, Resulting Numbers: [24, 1656]
Generated Node #3: [24, 1656] from Operation: 46*36=1656
Current State: 69:[24, 1656], Operations: ['62-26=36', '46*36=1656']
Exploring Operation: 1656/24=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[62, 26, 46, 24], Operations: []
Exploring Operation: 26+46=72, Resulting Numbers: [62, 24, 72]
Generated Node #0,0: 69:[62, 24, 72] Operation: 26+46=72
Exploring Operation: 62-46=16, Resulting Numbers: [26, 24, 16]
Generated Node #0,1: 69:[26, 24, 16] Operation: 62-46=16
Exploring Operation: 46+24=70, Resulting Numbers: [62, 26, 70]
Generated Node #0,2: 69:[62, 26, 70] Operation: 46+24=70
Exploring Operation: 46-26=20, Resulting Numbers: [62, 24, 20]
Generated Node #0,3: 69:[62, 24, 20] Operation: 46-26=20
Moving to Node #0,0
Current State: 69:[62, 24, 72], Operations: ['26+46=72']
Exploring Operation: 62+24=86, Resulting Numbers: [72, 86]
Generated Node #0,0,0: 69:[72, 86] Operation: 62+24=86
Exploring Operation: 72/24=3, Resulting Numbers: [62, 3]
Generated Node #0,0,1: 69:[62, 3] Operation: 72/24=3
Exploring Operation: 62-24=38, Resulting Numbers: [72, 38]
Generated Node #0,0,2: 69:[72, 38] Operation: 62-24=38
Exploring Operation: 72-62=10, Resulting Numbers: [24, 10]
Generated Node #0,0,3: 69:[24, 10] Operation: 72-62=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[62, 3], Operations: ['26+46=72', '72/24=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,69 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,69 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[24, 10], Operations: ['26+46=72', '72-62=10']
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[72, 38], Operations: ['26+46=72', '62-24=38']
Exploring Operation: 72+38=110, Resulting Numbers: [110]
110,69 unequal: No Solution
Exploring Operation: 72*38=2736, Resulting Numbers: [2736]
2736,69 unequal: No Solution
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[72, 86], Operations: ['26+46=72', '62+24=86']
Exploring Operation: 72+86=158, Resulting Numbers: [158]
158,69 unequal: No Solution
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 72*86=6192, Resulting Numbers: [6192]
6192,69 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: 69:[62, 26, 70], Operations: ['46+24=70']
Exploring Operation: 70-62=8, Resulting Numbers: [26, 8]
Generated Node #0,2,0: 69:[26, 8] Operation: 70-62=8
Exploring Operation: 70-26=44, Resulting Numbers: [62, 44]
Generated Node #0,2,1: 69:[62, 44] Operation: 70-26=44
Exploring Operation: 62+26=88, Resulting Numbers: [70, 88]
Generated Node #0,2,2: 69:[70, 88] Operation: 62+26=88
Exploring Operation: 62-26=36, Resulting Numbers: [70, 36]
Generated Node #0,2,3: 69:[70, 36] Operation: 62-26=36
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[26, 8], Operations: ['46+24=70', '70-62=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,69 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,69 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 #0,2,3
Current State: 69:[70, 36], Operations: ['46+24=70', '62-26=36']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 70+36=106, Resulting Numbers: [106]
106,69 unequal: No Solution
Exploring Operation: 70*36=2520, Resulting Numbers: [2520]
2520,69 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 #0,2,2
Current State: 69:[70, 88], Operations: ['46+24=70', '62+26=88']
Exploring Operation: 70+88=158, Resulting Numbers: [158]
158,69 unequal: No Solution
Exploring Operation: 70*88=6160, Resulting Numbers: [6160]
6160,69 unequal: No Solution
Exploring Operation: 88-70=18, Resulting Numbers: [18]
18,69 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 #0,2,1
Current State: 69:[62, 44], Operations: ['46+24=70', '70-26=44']
Exploring Operation: 62*44=2728, Resulting Numbers: [2728]
2728,69 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 62+44=106, Resulting Numbers: [106]
106,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 69:[26, 24, 16], Operations: ['62-46=16']
Exploring Operation: 26-24=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 69:[16, 2] Operation: 26-24=2
Exploring Operation: 26+16=42, Resulting Numbers: [24, 42]
Generated Node #0,1,1: 69:[24, 42] Operation: 26+16=42
Exploring Operation: 24-16=8, Resulting Numbers: [26, 8]
Generated Node #0,1,2: 69:[26, 8] Operation: 24-16=8
Exploring Operation: 26-16=10, Resulting Numbers: [24, 10]
Generated Node #0,1,3: 69:[24, 10] Operation: 26-16=10
Moving to Node #0,3
Current State: 69:[62, 24, 20], Operations: ['46-26=20']
Exploring Operation: 62+20=82, Resulting Numbers: [24, 82]
Generated Node #0,3,0: 69:[24, 82] Operation: 62+20=82
Exploring Operation: 24-20=4, Resulting Numbers: [62, 4]
Generated Node #0,3,1: 69:[62, 4] Operation: 24-20=4
Exploring Operation: 62-24=38, Resulting Numbers: [20, 38]
Generated Node #0,3,2: 69:[20, 38] Operation: 62-24=38
Exploring Operation: 62+24=86, Resulting Numbers: [20, 86]
Generated Node #0,3,3: 69:[20, 86] Operation: 62+24=86
Moving to Node #0,1,0
Current State: 69:[16, 2], Operations: ['62-46=16', '26-24=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[24, 10], Operations: ['62-46=16', '26-16=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,69 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,69 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[26, 8], Operations: ['62-46=16', '24-16=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,69 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[62, 4], Operations: ['46-26=20', '24-20=4']
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 62*4=248, Resulting Numbers: [248]
248,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[24, 82], Operations: ['46-26=20', '62+20=82']
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 24+82=106, Resulting Numbers: [106]
106,69 unequal: No Solution
Exploring Operation: 24*82=1968, Resulting Numbers: [1968]
1968,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[20, 38], Operations: ['46-26=20', '62-24=38']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[24, 42], Operations: ['62-46=16', '26+16=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[20, 86], Operations: ['46-26=20', '62+24=86']
Exploring Operation: 20+86=106, Resulting Numbers: [106]
106,69 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 20*86=1720, Resulting Numbers: [1720]
1720,69 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
35,
42,
76,
90
] | 38 |
[
"90-76=14",
"42/14=3",
"35+3=38"
] |
Current State: 38:[35, 42, 76, 90], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [35, 42, 14]
Generated Node #2: [35, 42, 14] from Operation: 90-76=14
Current State: 38:[35, 42, 14], Operations: ['90-76=14']
Exploring Operation: 42/14=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 42/14=3
Current State: 38:[35, 3], Operations: ['90-76=14', '42/14=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
Current State: 38:[35, 42, 76, 90], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [35, 76, 48]
Generated Node #0,0: 38:[35, 76, 48] Operation: 90-42=48
Exploring Operation: 90-35=55, Resulting Numbers: [42, 76, 55]
Generated Node #0,1: 38:[42, 76, 55] Operation: 90-35=55
Exploring Operation: 90-76=14, Resulting Numbers: [35, 42, 14]
Generated Node #0,2: 38:[35, 42, 14] Operation: 90-76=14
Exploring Operation: 76-35=41, Resulting Numbers: [42, 90, 41]
Generated Node #0,3: 38:[42, 90, 41] Operation: 76-35=41
Moving to Node #0,2
Current State: 38:[35, 42, 14], Operations: ['90-76=14']
Exploring Operation: 35-14=21, Resulting Numbers: [42, 21]
Generated Node #0,2,0: 38:[42, 21] Operation: 35-14=21
Exploring Operation: 42-14=28, Resulting Numbers: [35, 28]
Generated Node #0,2,1: 38:[35, 28] Operation: 42-14=28
Exploring Operation: 42/14=3, Resulting Numbers: [35, 3]
Generated Node #0,2,2: 38:[35, 3] Operation: 42/14=3
Exploring Operation: 42-35=7, Resulting Numbers: [14, 7]
Generated Node #0,2,3: 38:[14, 7] Operation: 42-35=7
Moving to Node #0,0
Current State: 38:[35, 76, 48], Operations: ['90-42=48']
Exploring Operation: 48-35=13, Resulting Numbers: [76, 13]
Generated Node #0,0,0: 38:[76, 13] Operation: 48-35=13
Exploring Operation: 35+76=111, Resulting Numbers: [48, 111]
Generated Node #0,0,1: 38:[48, 111] Operation: 35+76=111
Exploring Operation: 76-48=28, Resulting Numbers: [35, 28]
Generated Node #0,0,2: 38:[35, 28] Operation: 76-48=28
Exploring Operation: 76-35=41, Resulting Numbers: [48, 41]
Generated Node #0,0,3: 38:[48, 41] Operation: 76-35=41
Moving to Node #0,3
Current State: 38:[42, 90, 41], Operations: ['76-35=41']
Exploring Operation: 42-41=1, Resulting Numbers: [90, 1]
Generated Node #0,3,0: 38:[90, 1] Operation: 42-41=1
Exploring Operation: 90-41=49, Resulting Numbers: [42, 49]
Generated Node #0,3,1: 38:[42, 49] Operation: 90-41=49
Exploring Operation: 90-42=48, Resulting Numbers: [41, 48]
Generated Node #0,3,2: 38:[41, 48] Operation: 90-42=48
Exploring Operation: 42+90=132, Resulting Numbers: [41, 132]
Generated Node #0,3,3: 38:[41, 132] Operation: 42+90=132
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 38:[41, 48], Operations: ['76-35=41', '90-42=48']
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 41*48=1968, Resulting Numbers: [1968]
1968,38 unequal: No Solution
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 38:[42, 49], Operations: ['76-35=41', '90-41=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,38 unequal: No Solution
Exploring Operation: 42*49=2058, Resulting Numbers: [2058]
2058,38 unequal: No Solution
Exploring Operation: 49-42=7, Resulting Numbers: [7]
7,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 38:[90, 1], Operations: ['76-35=41', '42-41=1']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,38 unequal: No Solution
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,38 unequal: No Solution
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 38:[41, 132], Operations: ['76-35=41', '42+90=132']
Exploring Operation: 41+132=173, Resulting Numbers: [173]
173,38 unequal: No Solution
Exploring Operation: 132-41=91, Resulting Numbers: [91]
91,38 unequal: No Solution
Exploring Operation: 41*132=5412, Resulting Numbers: [5412]
5412,38 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: 38:[42, 76, 55], Operations: ['90-35=55']
Exploring Operation: 76-42=34, Resulting Numbers: [55, 34]
Generated Node #0,1,0: 38:[55, 34] Operation: 76-42=34
Exploring Operation: 42+76=118, Resulting Numbers: [55, 118]
Generated Node #0,1,1: 38:[55, 118] Operation: 42+76=118
Exploring Operation: 55-42=13, Resulting Numbers: [76, 13]
Generated Node #0,1,2: 38:[76, 13] Operation: 55-42=13
Exploring Operation: 76-55=21, Resulting Numbers: [42, 21]
Generated Node #0,1,3: 38:[42, 21] Operation: 76-55=21
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 38:[42, 21], Operations: ['90-35=55', '76-55=21']
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,38 unequal: No Solution
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[55, 34], Operations: ['90-35=55', '76-42=34']
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Exploring Operation: 55*34=1870, Resulting Numbers: [1870]
1870,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 38:[76, 13], Operations: ['90-35=55', '55-42=13']
Exploring Operation: 76*13=988, Resulting Numbers: [988]
988,38 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,38 unequal: No Solution
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[55, 118], Operations: ['90-35=55', '42+76=118']
Exploring Operation: 55*118=6490, Resulting Numbers: [6490]
6490,38 unequal: No Solution
Exploring Operation: 55+118=173, Resulting Numbers: [173]
173,38 unequal: No Solution
Exploring Operation: 118-55=63, Resulting Numbers: [63]
63,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 38:[35, 3], Operations: ['90-76=14', '42/14=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 35*3=105, Resulting Numbers: [105]
105,38 unequal: No Solution
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[35, 42, 76, 90], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [35, 42, 14]
Generated Node #0,2: 38:[35, 42, 14] Operation: 90-76=14
Moving to Node #0,2
Current State: 38:[35, 42, 14], Operations: ['90-76=14']
Exploring Operation: 42/14=3, Resulting Numbers: [35, 3]
Generated Node #0,2,2: 38:[35, 3] Operation: 42/14=3
Moving to Node #0,2,2
Current State: 38:[35, 3], Operations: ['90-76=14', '42/14=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.953993 |
hs_4
|
sum_heuristic
|
[
39,
39,
12,
76
] | 88 |
[
"39-39=0",
"12+76=88",
"0+88=88"
] |
Current State: 88:[39, 39, 12, 76], Operations: []
Exploring Operation: 39-39=0, Resulting Numbers: [12, 76, 0]
Generated Node #2: [12, 76, 0] from Operation: 39-39=0
Current State: 88:[12, 76, 0], Operations: ['39-39=0']
Exploring Operation: 12+76=88, Resulting Numbers: [0, 88]
Generated Node #3: [0, 88] from Operation: 12+76=88
Current State: 88:[0, 88], Operations: ['39-39=0', '12+76=88']
Exploring Operation: 0+88=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
Current State: 88:[39, 39, 12, 76], Operations: []
Exploring Operation: 76-39=37, Resulting Numbers: [39, 12, 37]
Generated Node #0,0: 88:[39, 12, 37] Operation: 76-39=37
Exploring Operation: 12+76=88, Resulting Numbers: [39, 39, 88]
Generated Node #0,1: 88:[39, 39, 88] Operation: 12+76=88
Exploring Operation: 39/39=1, Resulting Numbers: [12, 76, 1]
Generated Node #0,2: 88:[12, 76, 1] Operation: 39/39=1
Exploring Operation: 39-39=0, Resulting Numbers: [12, 76, 0]
Generated Node #0,3: 88:[12, 76, 0] Operation: 39-39=0
Exploring Operation: 76-39=37, Resulting Numbers: [39, 12, 37]
Generated Node #0,4: 88:[39, 12, 37] Operation: 76-39=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[39, 39, 88], Operations: ['12+76=88']
Exploring Operation: 88-39=49, Resulting Numbers: [39, 49]
Generated Node #0,1,0: 88:[39, 49] Operation: 88-39=49
Exploring Operation: 39-39=0, Resulting Numbers: [88, 0]
Generated Node #0,1,1: 88:[88, 0] Operation: 39-39=0
Exploring Operation: 88-39=49, Resulting Numbers: [39, 49]
Generated Node #0,1,2: 88:[39, 49] Operation: 88-39=49
Exploring Operation: 39+39=78, Resulting Numbers: [88, 78]
Generated Node #0,1,3: 88:[88, 78] Operation: 39+39=78
Exploring Operation: 39/39=1, Resulting Numbers: [88, 1]
Generated Node #0,1,4: 88:[88, 1] Operation: 39/39=1
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 88:[88, 1], Operations: ['12+76=88', '39/39=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[39, 39, 12, 76], Operations: []
Exploring Operation: 12+76=88, Resulting Numbers: [39, 39, 88]
Generated Node #0,1: 88:[39, 39, 88] Operation: 12+76=88
Moving to Node #0,1
Current State: 88:[39, 39, 88], Operations: ['12+76=88']
Exploring Operation: 39/39=1, Resulting Numbers: [88, 1]
Generated Node #0,1,4: 88:[88, 1] Operation: 39/39=1
Moving to Node #0,1,4
Current State: 88:[88, 1], Operations: ['12+76=88', '39/39=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
49,
49,
2,
56
] | 56 |
[
"49-49=0",
"2*0=0",
"56+0=56"
] |
Current State: 56:[49, 49, 2, 56], Operations: []
Exploring Operation: 49-49=0, Resulting Numbers: [2, 56, 0]
Generated Node #2: [2, 56, 0] from Operation: 49-49=0
Current State: 56:[2, 56, 0], Operations: ['49-49=0']
Exploring Operation: 2*0=0, Resulting Numbers: [56, 0]
Generated Node #3: [56, 0] from Operation: 2*0=0
Current State: 56:[56, 0], Operations: ['49-49=0', '2*0=0']
Exploring Operation: 56+0=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[49, 49, 2, 56], Operations: []
Exploring Operation: 49/49=1, Resulting Numbers: [2, 56, 1]
Generated Node #0,0: 56:[2, 56, 1] Operation: 49/49=1
Exploring Operation: 56-49=7, Resulting Numbers: [49, 2, 7]
Generated Node #0,1: 56:[49, 2, 7] Operation: 56-49=7
Exploring Operation: 49-49=0, Resulting Numbers: [2, 56, 0]
Generated Node #0,2: 56:[2, 56, 0] Operation: 49-49=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[2, 56, 1], Operations: ['49/49=1']
Exploring Operation: 56*1=56, Resulting Numbers: [2, 56]
Generated Node #0,0,0: 56:[2, 56] Operation: 56*1=56
Exploring Operation: 2*1=2, Resulting Numbers: [56, 2]
Generated Node #0,0,1: 56:[56, 2] Operation: 2*1=2
Exploring Operation: 2/1=2, Resulting Numbers: [56, 2]
Generated Node #0,0,2: 56:[56, 2] Operation: 2/1=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[2, 56], Operations: ['49/49=1', '56*1=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 56:[56, 2], Operations: ['49/49=1', '2*1=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 56:[56, 2], Operations: ['49/49=1', '2/1=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[2, 56, 0], Operations: ['49-49=0']
Exploring Operation: 2+0=2, Resulting Numbers: [56, 2]
Generated Node #0,2,0: 56:[56, 2] Operation: 2+0=2
Exploring Operation: 56+0=56, Resulting Numbers: [2, 56]
Generated Node #0,2,1: 56:[2, 56] Operation: 56+0=56
Exploring Operation: 2-0=2, Resulting Numbers: [56, 2]
Generated Node #0,2,2: 56:[56, 2] Operation: 2-0=2
Moving to Node #0,2,0
Current State: 56:[56, 2], Operations: ['49-49=0', '2+0=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[2, 56], Operations: ['49-49=0', '56+0=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[56, 2], Operations: ['49-49=0', '2-0=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[49, 2, 7], Operations: ['56-49=7']
Exploring Operation: 49+2=51, Resulting Numbers: [7, 51]
Generated Node #0,1,0: 56:[7, 51] Operation: 49+2=51
Exploring Operation: 49+7=56, Resulting Numbers: [2, 56]
Generated Node #0,1,1: 56:[2, 56] Operation: 49+7=56
Exploring Operation: 49/7=7, Resulting Numbers: [2, 7]
Generated Node #0,1,2: 56:[2, 7] Operation: 49/7=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[2, 56], Operations: ['56-49=7', '49+7=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,56 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[2, 7], Operations: ['56-49=7', '49/7=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[7, 51], Operations: ['56-49=7', '49+2=51']
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,56 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
41,
18,
55,
18
] | 41 |
[
"18-18=0",
"55*0=0",
"41+0=41"
] |
Current State: 41:[41, 18, 55, 18], Operations: []
Exploring Operation: 18-18=0, Resulting Numbers: [41, 55, 0]
Generated Node #2: [41, 55, 0] from Operation: 18-18=0
Current State: 41:[41, 55, 0], Operations: ['18-18=0']
Exploring Operation: 55*0=0, Resulting Numbers: [41, 0]
Generated Node #3: [41, 0] from Operation: 55*0=0
Current State: 41:[41, 0], Operations: ['18-18=0', '55*0=0']
Exploring Operation: 41+0=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[41, 18, 55, 18], Operations: []
Exploring Operation: 18/18=1, Resulting Numbers: [41, 55, 1]
Generated Node #0,0: 41:[41, 55, 1] Operation: 18/18=1
Exploring Operation: 55-18=37, Resulting Numbers: [41, 18, 37]
Generated Node #0,1: 41:[41, 18, 37] Operation: 55-18=37
Exploring Operation: 18+18=36, Resulting Numbers: [41, 55, 36]
Generated Node #0,2: 41:[41, 55, 36] Operation: 18+18=36
Exploring Operation: 55-18=37, Resulting Numbers: [41, 18, 37]
Generated Node #0,3: 41:[41, 18, 37] Operation: 55-18=37
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[41, 55, 36], Operations: ['18+18=36']
Exploring Operation: 41-36=5, Resulting Numbers: [55, 5]
Generated Node #0,2,0: 41:[55, 5] Operation: 41-36=5
Exploring Operation: 55-41=14, Resulting Numbers: [36, 14]
Generated Node #0,2,1: 41:[36, 14] Operation: 55-41=14
Exploring Operation: 41+36=77, Resulting Numbers: [55, 77]
Generated Node #0,2,2: 41:[55, 77] Operation: 41+36=77
Exploring Operation: 55-36=19, Resulting Numbers: [41, 19]
Generated Node #0,2,3: 41:[41, 19] Operation: 55-36=19
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 41:[41, 19], Operations: ['18+18=36', '55-36=19']
Exploring Operation: 41*19=779, Resulting Numbers: [779]
779,41 unequal: No Solution
Exploring Operation: 41+19=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,41 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:[36, 14], Operations: ['18+18=36', '55-41=14']
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,41 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:[55, 5], Operations: ['18+18=36', '41-36=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,41 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 #0,2,2
Current State: 41:[55, 77], Operations: ['18+18=36', '41+36=77']
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,41 unequal: No Solution
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,41 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,41 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:[41, 18, 37], Operations: ['55-18=37']
Exploring Operation: 41-18=23, Resulting Numbers: [37, 23]
Generated Node #0,1,0: 41:[37, 23] Operation: 41-18=23
Exploring Operation: 18+37=55, Resulting Numbers: [41, 55]
Generated Node #0,1,1: 41:[41, 55] Operation: 18+37=55
Exploring Operation: 41+18=59, Resulting Numbers: [37, 59]
Generated Node #0,1,2: 41:[37, 59] Operation: 41+18=59
Exploring Operation: 37-18=19, Resulting Numbers: [41, 19]
Generated Node #0,1,3: 41:[41, 19] Operation: 37-18=19
Moving to Node #0,1,1
Current State: 41:[41, 55], Operations: ['55-18=37', '18+37=55']
Exploring Operation: 41+55=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 41*55=2255, Resulting Numbers: [2255]
2255,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[37, 59], Operations: ['55-18=37', '41+18=59']
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 37+59=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 37*59=2183, Resulting Numbers: [2183]
2183,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[37, 23], Operations: ['55-18=37', '41-18=23']
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[41, 19], Operations: ['55-18=37', '37-18=19']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 41*19=779, Resulting Numbers: [779]
779,41 unequal: No Solution
Exploring Operation: 41+19=60, Resulting Numbers: [60]
60,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[41, 18, 37], Operations: ['55-18=37']
Exploring Operation: 41-18=23, Resulting Numbers: [37, 23]
Generated Node #0,3,0: 41:[37, 23] Operation: 41-18=23
Exploring Operation: 18+37=55, Resulting Numbers: [41, 55]
Generated Node #0,3,1: 41:[41, 55] Operation: 18+37=55
Exploring Operation: 41+18=59, Resulting Numbers: [37, 59]
Generated Node #0,3,2: 41:[37, 59] Operation: 41+18=59
Exploring Operation: 37-18=19, Resulting Numbers: [41, 19]
Generated Node #0,3,3: 41:[41, 19] Operation: 37-18=19
Moving to Node #0,3,1
Current State: 41:[41, 55], Operations: ['55-18=37', '18+37=55']
Exploring Operation: 41*55=2255, Resulting Numbers: [2255]
2255,41 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 41+55=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[37, 59], Operations: ['55-18=37', '41+18=59']
Exploring Operation: 37*59=2183, Resulting Numbers: [2183]
2183,41 unequal: No Solution
Exploring Operation: 37+59=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[37, 23], Operations: ['55-18=37', '41-18=23']
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[41, 19], Operations: ['55-18=37', '37-18=19']
Exploring Operation: 41+19=60, Resulting Numbers: [60]
60,41 unequal: No Solution
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 41*19=779, Resulting Numbers: [779]
779,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[41, 55, 1], Operations: ['18/18=1']
Exploring Operation: 55-1=54, Resulting Numbers: [41, 54]
Generated Node #0,0,0: 41:[41, 54] Operation: 55-1=54
Exploring Operation: 41*1=41, Resulting Numbers: [55, 41]
Generated Node #0,0,1: 41:[55, 41] Operation: 41*1=41
Exploring Operation: 41/1=41, Resulting Numbers: [55, 41]
Generated Node #0,0,2: 41:[55, 41] Operation: 41/1=41
Exploring Operation: 55*1=55, Resulting Numbers: [41, 55]
Generated Node #0,0,3: 41:[41, 55] Operation: 55*1=55
Moving to Node #0,0,0
Current State: 41:[41, 54], Operations: ['18/18=1', '55-1=54']
Exploring Operation: 41*54=2214, Resulting Numbers: [2214]
2214,41 unequal: No Solution
Exploring Operation: 41+54=95, Resulting Numbers: [95]
95,41 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[55, 41], Operations: ['18/18=1', '41/1=41']
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 55*41=2255, Resulting Numbers: [2255]
2255,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[55, 41], Operations: ['18/18=1', '41*1=41']
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 55*41=2255, Resulting Numbers: [2255]
2255,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[41, 55], Operations: ['18/18=1', '55*1=55']
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,41 unequal: No Solution
Exploring Operation: 41*55=2255, Resulting Numbers: [2255]
2255,41 unequal: No Solution
Exploring Operation: 41+55=96, Resulting Numbers: [96]
96,41 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
|
[
61,
41,
7,
88
] | 98 |
[
"61+41=102",
"102-88=14",
"7*14=98"
] |
Current State: 98:[61, 41, 7, 88], Operations: []
Exploring Operation: 61+41=102, Resulting Numbers: [7, 88, 102]
Generated Node #2: [7, 88, 102] from Operation: 61+41=102
Current State: 98:[7, 88, 102], Operations: ['61+41=102']
Exploring Operation: 102-88=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 102-88=14
Current State: 98:[7, 14], Operations: ['61+41=102', '102-88=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
Current State: 98:[61, 41, 7, 88], Operations: []
Exploring Operation: 61-41=20, Resulting Numbers: [7, 88, 20]
Generated Node #0,0: 98:[7, 88, 20] Operation: 61-41=20
Exploring Operation: 88-61=27, Resulting Numbers: [41, 7, 27]
Generated Node #0,1: 98:[41, 7, 27] Operation: 88-61=27
Exploring Operation: 61-7=54, Resulting Numbers: [41, 88, 54]
Generated Node #0,2: 98:[41, 88, 54] Operation: 61-7=54
Exploring Operation: 88-41=47, Resulting Numbers: [61, 7, 47]
Generated Node #0,3: 98:[61, 7, 47] Operation: 88-41=47
Exploring Operation: 61+41=102, Resulting Numbers: [7, 88, 102]
Generated Node #0,4: 98:[7, 88, 102] Operation: 61+41=102
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[61, 7, 47], Operations: ['88-41=47']
Exploring Operation: 61+7=68, Resulting Numbers: [47, 68]
Generated Node #0,3,0: 98:[47, 68] Operation: 61+7=68
Exploring Operation: 61+47=108, Resulting Numbers: [7, 108]
Generated Node #0,3,1: 98:[7, 108] Operation: 61+47=108
Exploring Operation: 61-7=54, Resulting Numbers: [47, 54]
Generated Node #0,3,2: 98:[47, 54] Operation: 61-7=54
Exploring Operation: 61-47=14, Resulting Numbers: [7, 14]
Generated Node #0,3,3: 98:[7, 14] Operation: 61-47=14
Exploring Operation: 7+47=54, Resulting Numbers: [61, 54]
Generated Node #0,3,4: 98:[61, 54] Operation: 7+47=54
Moving to Node #0,3,3
Current State: 98:[7, 14], Operations: ['88-41=47', '61-47=14']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[61, 41, 7, 88], Operations: []
Exploring Operation: 88-41=47, Resulting Numbers: [61, 7, 47]
Generated Node #0,3: 98:[61, 7, 47] Operation: 88-41=47
Moving to Node #0,3
Current State: 98:[61, 7, 47], Operations: ['88-41=47']
Exploring Operation: 61-47=14, Resulting Numbers: [7, 14]
Generated Node #0,3,3: 98:[7, 14] Operation: 61-47=14
Moving to Node #0,3,3
Current State: 98:[7, 14], Operations: ['88-41=47', '61-47=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
sum_heuristic
|
[
66,
21,
7,
94
] | 31 |
[
"94-66=28",
"21/7=3",
"28+3=31"
] |
Current State: 31:[66, 21, 7, 94], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [21, 7, 28]
Generated Node #2: [21, 7, 28] from Operation: 94-66=28
Current State: 31:[21, 7, 28], Operations: ['94-66=28']
Exploring Operation: 21/7=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 21/7=3
Current State: 31:[28, 3], Operations: ['94-66=28', '21/7=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
Current State: 31:[66, 21, 7, 94], Operations: []
Exploring Operation: 21+7=28, Resulting Numbers: [66, 94, 28]
Generated Node #0,0: 31:[66, 94, 28] Operation: 21+7=28
Exploring Operation: 94-66=28, Resulting Numbers: [21, 7, 28]
Generated Node #0,1: 31:[21, 7, 28] Operation: 94-66=28
Exploring Operation: 66-21=45, Resulting Numbers: [7, 94, 45]
Generated Node #0,2: 31:[7, 94, 45] Operation: 66-21=45
Exploring Operation: 94-21=73, Resulting Numbers: [66, 7, 73]
Generated Node #0,3: 31:[66, 7, 73] Operation: 94-21=73
Exploring Operation: 66-7=59, Resulting Numbers: [21, 94, 59]
Generated Node #0,4: 31:[21, 94, 59] Operation: 66-7=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[21, 7, 28], Operations: ['94-66=28']
Exploring Operation: 21+7=28, Resulting Numbers: [28, 28]
Generated Node #0,1,0: 31:[28, 28] Operation: 21+7=28
Exploring Operation: 21/7=3, Resulting Numbers: [28, 3]
Generated Node #0,1,1: 31:[28, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [28, 14]
Generated Node #0,1,2: 31:[28, 14] Operation: 21-7=14
Exploring Operation: 7+28=35, Resulting Numbers: [21, 35]
Generated Node #0,1,3: 31:[21, 35] Operation: 7+28=35
Exploring Operation: 28-7=21, Resulting Numbers: [21, 21]
Generated Node #0,1,4: 31:[21, 21] Operation: 28-7=21
Moving to Node #0,1,0
Current State: 31:[28, 28], Operations: ['94-66=28', '21+7=28']
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,31 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,31 unequal: No Solution
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,31 unequal: No Solution
Exploring Operation: 28/28=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[21, 35], Operations: ['94-66=28', '7+28=35']
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,31 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[28, 14], Operations: ['94-66=28', '21-7=14']
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,31 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,31 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,31 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Moving to Node #0,1,4
Current State: 31:[21, 21], Operations: ['94-66=28', '28-7=21']
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,31 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,31 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[28, 3], Operations: ['94-66=28', '21/7=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,31 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[66, 21, 7, 94], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [21, 7, 28]
Generated Node #0,1: 31:[21, 7, 28] Operation: 94-66=28
Moving to Node #0,1
Current State: 31:[21, 7, 28], Operations: ['94-66=28']
Exploring Operation: 21/7=3, Resulting Numbers: [28, 3]
Generated Node #0,1,1: 31:[28, 3] Operation: 21/7=3
Moving to Node #0,1,1
Current State: 31:[28, 3], Operations: ['94-66=28', '21/7=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 |
hs_5
|
sum_heuristic
|
[
57,
93,
21,
93
] | 79 |
[
"57+21=78",
"93/93=1",
"78+1=79"
] |
Current State: 79:[57, 93, 21, 93], Operations: []
Exploring Operation: 57+21=78, Resulting Numbers: [93, 93, 78]
Generated Node #2: [93, 93, 78] from Operation: 57+21=78
Current State: 79:[93, 93, 78], Operations: ['57+21=78']
Exploring Operation: 93/93=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 93/93=1
Current State: 79:[78, 1], Operations: ['57+21=78', '93/93=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[57, 93, 21, 93], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [57, 93, 72]
Generated Node #0,0: 79:[57, 93, 72] Operation: 93-21=72
Exploring Operation: 57-21=36, Resulting Numbers: [93, 93, 36]
Generated Node #0,1: 79:[93, 93, 36] Operation: 57-21=36
Exploring Operation: 93+21=114, Resulting Numbers: [57, 93, 114]
Generated Node #0,2: 79:[57, 93, 114] Operation: 93+21=114
Exploring Operation: 57+21=78, Resulting Numbers: [93, 93, 78]
Generated Node #0,3: 79:[93, 93, 78] Operation: 57+21=78
Exploring Operation: 93-21=72, Resulting Numbers: [57, 93, 72]
Generated Node #0,4: 79:[57, 93, 72] Operation: 93-21=72
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[93, 93, 78], Operations: ['57+21=78']
Exploring Operation: 93/93=1, Resulting Numbers: [78, 1]
Generated Node #0,3,0: 79:[78, 1] Operation: 93/93=1
Exploring Operation: 93+78=171, Resulting Numbers: [93, 171]
Generated Node #0,3,1: 79:[93, 171] Operation: 93+78=171
Exploring Operation: 93-78=15, Resulting Numbers: [93, 15]
Generated Node #0,3,2: 79:[93, 15] Operation: 93-78=15
Exploring Operation: 93-93=0, Resulting Numbers: [78, 0]
Generated Node #0,3,3: 79:[78, 0] Operation: 93-93=0
Exploring Operation: 93-78=15, Resulting Numbers: [93, 15]
Generated Node #0,3,4: 79:[93, 15] Operation: 93-78=15
Moving to Node #0,3,2
Current State: 79:[93, 15], Operations: ['57+21=78', '93-78=15']
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 93*15=1395, Resulting Numbers: [1395]
1395,79 unequal: No Solution
Exploring Operation: 93+15=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[93, 15], Operations: ['57+21=78', '93-78=15']
Exploring Operation: 93*15=1395, Resulting Numbers: [1395]
1395,79 unequal: No Solution
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 93+15=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[78, 1], Operations: ['57+21=78', '93/93=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[57, 93, 21, 93], Operations: []
Exploring Operation: 57+21=78, Resulting Numbers: [93, 93, 78]
Generated Node #0,3: 79:[93, 93, 78] Operation: 57+21=78
Moving to Node #0,3
Current State: 79:[93, 93, 78], Operations: ['57+21=78']
Exploring Operation: 93/93=1, Resulting Numbers: [78, 1]
Generated Node #0,3,0: 79:[78, 1] Operation: 93/93=1
Moving to Node #0,3,0
Current State: 79:[78, 1], Operations: ['57+21=78', '93/93=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 |
hs_5
|
mult_heuristic
|
[
45,
75,
2,
88
] | 74 |
[
"75-45=30",
"88/2=44",
"30+44=74"
] |
Current State: 74:[45, 75, 2, 88], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [2, 88, 30]
Generated Node #2: [2, 88, 30] from Operation: 75-45=30
Current State: 74:[2, 88, 30], Operations: ['75-45=30']
Exploring Operation: 88/2=44, Resulting Numbers: [30, 44]
Generated Node #3: [30, 44] from Operation: 88/2=44
Current State: 74:[30, 44], Operations: ['75-45=30', '88/2=44']
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[45, 75, 2, 88], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [45, 75, 44]
Generated Node #0,0: 74:[45, 75, 44] Operation: 88/2=44
Exploring Operation: 88-75=13, Resulting Numbers: [45, 2, 13]
Generated Node #0,1: 74:[45, 2, 13] Operation: 88-75=13
Exploring Operation: 75-45=30, Resulting Numbers: [2, 88, 30]
Generated Node #0,2: 74:[2, 88, 30] Operation: 75-45=30
Exploring Operation: 88-45=43, Resulting Numbers: [75, 2, 43]
Generated Node #0,3: 74:[75, 2, 43] Operation: 88-45=43
Moving to Node #0,3
Current State: 74:[75, 2, 43], Operations: ['88-45=43']
Exploring Operation: 75-2=73, Resulting Numbers: [43, 73]
Generated Node #0,3,0: 74:[43, 73] Operation: 75-2=73
Exploring Operation: 75+2=77, Resulting Numbers: [43, 77]
Generated Node #0,3,1: 74:[43, 77] Operation: 75+2=77
Exploring Operation: 43-2=41, Resulting Numbers: [75, 41]
Generated Node #0,3,2: 74:[75, 41] Operation: 43-2=41
Exploring Operation: 75-43=32, Resulting Numbers: [2, 32]
Generated Node #0,3,3: 74:[2, 32] Operation: 75-43=32
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[75, 41], Operations: ['88-45=43', '43-2=41']
Exploring Operation: 75+41=116, Resulting Numbers: [116]
116,74 unequal: No Solution
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Exploring Operation: 75*41=3075, Resulting Numbers: [3075]
3075,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 74:[2, 32], Operations: ['88-45=43', '75-43=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,74 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 74:[43, 73], Operations: ['88-45=43', '75-2=73']
Exploring Operation: 43+73=116, Resulting Numbers: [116]
116,74 unequal: No Solution
Exploring Operation: 43*73=3139, Resulting Numbers: [3139]
3139,74 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 74:[43, 77], Operations: ['88-45=43', '75+2=77']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,74 unequal: No Solution
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 74:[45, 75, 44], Operations: ['88/2=44']
Exploring Operation: 45-44=1, Resulting Numbers: [75, 1]
Generated Node #0,0,0: 74:[75, 1] Operation: 45-44=1
Exploring Operation: 45+44=89, Resulting Numbers: [75, 89]
Generated Node #0,0,1: 74:[75, 89] Operation: 45+44=89
Exploring Operation: 75-44=31, Resulting Numbers: [45, 31]
Generated Node #0,0,2: 74:[45, 31] Operation: 75-44=31
Exploring Operation: 75-45=30, Resulting Numbers: [44, 30]
Generated Node #0,0,3: 74:[44, 30] Operation: 75-45=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[75, 1], Operations: ['88/2=44', '45-44=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[45, 75, 2, 88], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [45, 75, 44]
Generated Node #0,0: 74:[45, 75, 44] Operation: 88/2=44
Moving to Node #0,0
Current State: 74:[45, 75, 44], Operations: ['88/2=44']
Exploring Operation: 45-44=1, Resulting Numbers: [75, 1]
Generated Node #0,0,0: 74:[75, 1] Operation: 45-44=1
Moving to Node #0,0,0
Current State: 74:[75, 1], Operations: ['88/2=44', '45-44=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 |
hs_4
|
mult_heuristic
|
[
25,
79,
63,
37
] | 78 |
[
"25+79=104",
"63-37=26",
"104-26=78"
] |
Current State: 78:[25, 79, 63, 37], Operations: []
Exploring Operation: 25+79=104, Resulting Numbers: [63, 37, 104]
Generated Node #2: [63, 37, 104] from Operation: 25+79=104
Current State: 78:[63, 37, 104], Operations: ['25+79=104']
Exploring Operation: 63-37=26, Resulting Numbers: [104, 26]
Generated Node #3: [104, 26] from Operation: 63-37=26
Current State: 78:[104, 26], Operations: ['25+79=104', '63-37=26']
Exploring Operation: 104-26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[25, 79, 63, 37], Operations: []
Exploring Operation: 63-25=38, Resulting Numbers: [79, 37, 38]
Generated Node #0,0: 78:[79, 37, 38] Operation: 63-25=38
Exploring Operation: 63-37=26, Resulting Numbers: [25, 79, 26]
Generated Node #0,1: 78:[25, 79, 26] Operation: 63-37=26
Moving to Node #0,1
Current State: 78:[25, 79, 26], Operations: ['63-37=26']
Exploring Operation: 25+26=51, Resulting Numbers: [79, 51]
Generated Node #0,1,0: 78:[79, 51] Operation: 25+26=51
Exploring Operation: 26-25=1, Resulting Numbers: [79, 1]
Generated Node #0,1,1: 78:[79, 1] Operation: 26-25=1
Moving to Node #0,0
Current State: 78:[79, 37, 38], Operations: ['63-25=38']
Exploring Operation: 79-37=42, Resulting Numbers: [38, 42]
Generated Node #0,0,0: 78:[38, 42] Operation: 79-37=42
Exploring Operation: 38-37=1, Resulting Numbers: [79, 1]
Generated Node #0,0,1: 78:[79, 1] Operation: 38-37=1
Moving to Node #0,1,1
Current State: 78:[79, 1], Operations: ['63-37=26', '26-25=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[25, 79, 63, 37], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [25, 79, 26]
Generated Node #0,1: 78:[25, 79, 26] Operation: 63-37=26
Moving to Node #0,1
Current State: 78:[25, 79, 26], Operations: ['63-37=26']
Exploring Operation: 26-25=1, Resulting Numbers: [79, 1]
Generated Node #0,1,1: 78:[79, 1] Operation: 26-25=1
Moving to Node #0,1,1
Current State: 78:[79, 1], Operations: ['63-37=26', '26-25=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.989583 |
hs_2
|
sum_heuristic
|
[
19,
67,
8,
8
] | 67 |
[
"8-8=0",
"19*0=0",
"67+0=67"
] |
Current State: 67:[19, 67, 8, 8], Operations: []
Exploring Operation: 8-8=0, Resulting Numbers: [19, 67, 0]
Generated Node #2: [19, 67, 0] from Operation: 8-8=0
Current State: 67:[19, 67, 0], Operations: ['8-8=0']
Exploring Operation: 19*0=0, Resulting Numbers: [67, 0]
Generated Node #3: [67, 0] from Operation: 19*0=0
Current State: 67:[67, 0], Operations: ['8-8=0', '19*0=0']
Exploring Operation: 67+0=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[19, 67, 8, 8], Operations: []
Exploring Operation: 8/8=1, Resulting Numbers: [19, 67, 1]
Generated Node #0,0: 67:[19, 67, 1] Operation: 8/8=1
Exploring Operation: 8+8=16, Resulting Numbers: [19, 67, 16]
Generated Node #0,1: 67:[19, 67, 16] Operation: 8+8=16
Exploring Operation: 19+8=27, Resulting Numbers: [67, 8, 27]
Generated Node #0,2: 67:[67, 8, 27] Operation: 19+8=27
Exploring Operation: 19+8=27, Resulting Numbers: [67, 8, 27]
Generated Node #0,3: 67:[67, 8, 27] Operation: 19+8=27
Exploring Operation: 8*8=64, Resulting Numbers: [19, 67, 64]
Generated Node #0,4: 67:[19, 67, 64] Operation: 8*8=64
Moving to Node #0,4
Current State: 67:[19, 67, 64], Operations: ['8*8=64']
Exploring Operation: 67-19=48, Resulting Numbers: [64, 48]
Generated Node #0,4,0: 67:[64, 48] Operation: 67-19=48
Exploring Operation: 64-19=45, Resulting Numbers: [67, 45]
Generated Node #0,4,1: 67:[67, 45] Operation: 64-19=45
Exploring Operation: 19+64=83, Resulting Numbers: [67, 83]
Generated Node #0,4,2: 67:[67, 83] Operation: 19+64=83
Exploring Operation: 19+67=86, Resulting Numbers: [64, 86]
Generated Node #0,4,3: 67:[64, 86] Operation: 19+67=86
Exploring Operation: 67+64=131, Resulting Numbers: [19, 131]
Generated Node #0,4,4: 67:[19, 131] Operation: 67+64=131
Moving to Node #0,2
Current State: 67:[67, 8, 27], Operations: ['19+8=27']
Exploring Operation: 67+8=75, Resulting Numbers: [27, 75]
Generated Node #0,2,0: 67:[27, 75] Operation: 67+8=75
Exploring Operation: 67+27=94, Resulting Numbers: [8, 94]
Generated Node #0,2,1: 67:[8, 94] Operation: 67+27=94
Exploring Operation: 67-8=59, Resulting Numbers: [27, 59]
Generated Node #0,2,2: 67:[27, 59] Operation: 67-8=59
Exploring Operation: 27-8=19, Resulting Numbers: [67, 19]
Generated Node #0,2,3: 67:[67, 19] Operation: 27-8=19
Exploring Operation: 8+27=35, Resulting Numbers: [67, 35]
Generated Node #0,2,4: 67:[67, 35] Operation: 8+27=35
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 67:[67, 35], Operations: ['19+8=27', '8+27=35']
Exploring Operation: 67+35=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 67*35=2345, Resulting Numbers: [2345]
2345,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 67:[27, 75], Operations: ['19+8=27', '67+8=75']
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 27*75=2025, Resulting Numbers: [2025]
2025,67 unequal: No Solution
Exploring Operation: 27+75=102, Resulting Numbers: [102]
102,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 67:[27, 59], Operations: ['19+8=27', '67-8=59']
Exploring Operation: 27*59=1593, Resulting Numbers: [1593]
1593,67 unequal: No Solution
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 27+59=86, Resulting Numbers: [86]
86,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 67:[67, 19], Operations: ['19+8=27', '27-8=19']
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,67 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[8, 94], Operations: ['19+8=27', '67+27=94']
Exploring Operation: 8*94=752, Resulting Numbers: [752]
752,67 unequal: No Solution
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,67 unequal: No Solution
Exploring Operation: 8+94=102, Resulting Numbers: [102]
102,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 67:[19, 67, 16], Operations: ['8+8=16']
Exploring Operation: 67+16=83, Resulting Numbers: [19, 83]
Generated Node #0,1,0: 67:[19, 83] Operation: 67+16=83
Exploring Operation: 19-16=3, Resulting Numbers: [67, 3]
Generated Node #0,1,1: 67:[67, 3] Operation: 19-16=3
Exploring Operation: 67-16=51, Resulting Numbers: [19, 51]
Generated Node #0,1,2: 67:[19, 51] Operation: 67-16=51
Exploring Operation: 19+16=35, Resulting Numbers: [67, 35]
Generated Node #0,1,3: 67:[67, 35] Operation: 19+16=35
Exploring Operation: 19+67=86, Resulting Numbers: [16, 86]
Generated Node #0,1,4: 67:[16, 86] Operation: 19+67=86
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 67:[67, 35], Operations: ['8+8=16', '19+16=35']
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 67*35=2345, Resulting Numbers: [2345]
2345,67 unequal: No Solution
Exploring Operation: 67+35=102, Resulting Numbers: [102]
102,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[19, 83], Operations: ['8+8=16', '67+16=83']
Exploring Operation: 83-19=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 19+83=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 19*83=1577, Resulting Numbers: [1577]
1577,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[67, 3], Operations: ['8+8=16', '19-16=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,67 unequal: No Solution
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,67 unequal: No Solution
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 67:[19, 51], Operations: ['8+8=16', '67-16=51']
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,67 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 67:[16, 86], Operations: ['8+8=16', '19+67=86']
Exploring Operation: 16*86=1376, Resulting Numbers: [1376]
1376,67 unequal: No Solution
Exploring Operation: 16+86=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,67 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: 67:[67, 8, 27], Operations: ['19+8=27']
Exploring Operation: 27-8=19, Resulting Numbers: [67, 19]
Generated Node #0,3,0: 67:[67, 19] Operation: 27-8=19
Exploring Operation: 67+27=94, Resulting Numbers: [8, 94]
Generated Node #0,3,1: 67:[8, 94] Operation: 67+27=94
Exploring Operation: 67+8=75, Resulting Numbers: [27, 75]
Generated Node #0,3,2: 67:[27, 75] Operation: 67+8=75
Exploring Operation: 67-8=59, Resulting Numbers: [27, 59]
Generated Node #0,3,3: 67:[27, 59] Operation: 67-8=59
Exploring Operation: 8+27=35, Resulting Numbers: [67, 35]
Generated Node #0,3,4: 67:[67, 35] Operation: 8+27=35
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 67:[67, 35], Operations: ['19+8=27', '8+27=35']
Exploring Operation: 67+35=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 67*35=2345, Resulting Numbers: [2345]
2345,67 unequal: No Solution
Exploring Operation: 67-35=32, Resulting Numbers: [32]
32,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 67:[67, 19], Operations: ['19+8=27', '27-8=19']
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,67 unequal: No Solution
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 67:[27, 75], Operations: ['19+8=27', '67+8=75']
Exploring Operation: 27+75=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 27*75=2025, Resulting Numbers: [2025]
2025,67 unequal: No Solution
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 67:[27, 59], Operations: ['19+8=27', '67-8=59']
Exploring Operation: 27+59=86, Resulting Numbers: [86]
86,67 unequal: No Solution
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 27*59=1593, Resulting Numbers: [1593]
1593,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 67:[8, 94], Operations: ['19+8=27', '67+27=94']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,67 unequal: No Solution
Exploring Operation: 8+94=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 8*94=752, Resulting Numbers: [752]
752,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 67:[19, 67, 1], Operations: ['8/8=1']
Exploring Operation: 19/1=19, Resulting Numbers: [67, 19]
Generated Node #0,0,0: 67:[67, 19] Operation: 19/1=19
Exploring Operation: 67*1=67, Resulting Numbers: [19, 67]
Generated Node #0,0,1: 67:[19, 67] Operation: 67*1=67
Exploring Operation: 19+1=20, Resulting Numbers: [67, 20]
Generated Node #0,0,2: 67:[67, 20] Operation: 19+1=20
Exploring Operation: 67/1=67, Resulting Numbers: [19, 67]
Generated Node #0,0,3: 67:[19, 67] Operation: 67/1=67
Exploring Operation: 19*1=19, Resulting Numbers: [67, 19]
Generated Node #0,0,4: 67:[67, 19] Operation: 19*1=19
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[67, 20], Operations: ['8/8=1', '19+1=20']
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,67 unequal: No Solution
Exploring Operation: 67*20=1340, Resulting Numbers: [1340]
1340,67 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[67, 19], Operations: ['8/8=1', '19/1=19']
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,67 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[19, 67], Operations: ['8/8=1', '67*1=67']
Exploring Operation: 19+67=86, Resulting Numbers: [86]
86,67 unequal: No Solution
Exploring Operation: 19*67=1273, Resulting Numbers: [1273]
1273,67 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 67:[19, 67], Operations: ['8/8=1', '67/1=67']
Exploring Operation: 19*67=1273, Resulting Numbers: [1273]
1273,67 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 19+67=86, Resulting Numbers: [86]
86,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 67:[67, 19], Operations: ['8/8=1', '19*1=19']
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,67 unequal: No Solution
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 67:[67, 83], Operations: ['8*8=64', '19+64=83']
Exploring Operation: 67*83=5561, Resulting Numbers: [5561]
5561,67 unequal: No Solution
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 67+83=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Moving to Node #0,4,1
Current State: 67:[67, 45], Operations: ['8*8=64', '64-19=45']
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,67 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,67 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Moving to Node #0,4,0
Current State: 67:[64, 48], Operations: ['8*8=64', '67-19=48']
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 64+48=112, Resulting Numbers: [112]
112,67 unequal: No Solution
Exploring Operation: 64*48=3072, Resulting Numbers: [3072]
3072,67 unequal: No Solution
Moving to Node #0,4,3
Current State: 67:[64, 86], Operations: ['8*8=64', '19+67=86']
Exploring Operation: 64*86=5504, Resulting Numbers: [5504]
5504,67 unequal: No Solution
Exploring Operation: 64+86=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Exploring Operation: 86-64=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Moving to Node #0,4,4
Current State: 67:[19, 131], Operations: ['8*8=64', '67+64=131']
Exploring Operation: 131-19=112, Resulting Numbers: [112]
112,67 unequal: No Solution
Exploring Operation: 19+131=150, Resulting Numbers: [150]
150,67 unequal: No Solution
Exploring Operation: 19*131=2489, Resulting Numbers: [2489]
2489,67 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
56,
7,
10,
42
] | 12 |
[
"56-42=14",
"14/7=2",
"10+2=12"
] |
Current State: 12:[56, 7, 10, 42], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [7, 10, 14]
Generated Node #2: [7, 10, 14] from Operation: 56-42=14
Current State: 12:[7, 10, 14], Operations: ['56-42=14']
Exploring Operation: 14/7=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 14/7=2
Current State: 12:[10, 2], Operations: ['56-42=14', '14/7=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[56, 7, 10, 42], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [10, 42, 8]
Generated Node #0,0: 12:[10, 42, 8] Operation: 56/7=8
Exploring Operation: 42/7=6, Resulting Numbers: [56, 10, 6]
Generated Node #0,1: 12:[56, 10, 6] Operation: 42/7=6
Exploring Operation: 56-10=46, Resulting Numbers: [7, 42, 46]
Generated Node #0,2: 12:[7, 42, 46] Operation: 56-10=46
Exploring Operation: 56-42=14, Resulting Numbers: [7, 10, 14]
Generated Node #0,3: 12:[7, 10, 14] Operation: 56-42=14
Exploring Operation: 42-10=32, Resulting Numbers: [56, 7, 32]
Generated Node #0,4: 12:[56, 7, 32] Operation: 42-10=32
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[7, 10, 14], Operations: ['56-42=14']
Exploring Operation: 10-7=3, Resulting Numbers: [14, 3]
Generated Node #0,3,0: 12:[14, 3] Operation: 10-7=3
Exploring Operation: 14-10=4, Resulting Numbers: [7, 4]
Generated Node #0,3,1: 12:[7, 4] Operation: 14-10=4
Exploring Operation: 14-7=7, Resulting Numbers: [10, 7]
Generated Node #0,3,2: 12:[10, 7] Operation: 14-7=7
Exploring Operation: 7+10=17, Resulting Numbers: [14, 17]
Generated Node #0,3,3: 12:[14, 17] Operation: 7+10=17
Exploring Operation: 14/7=2, Resulting Numbers: [10, 2]
Generated Node #0,3,4: 12:[10, 2] Operation: 14/7=2
Moving to Node #0,3,1
Current State: 12:[7, 4], Operations: ['56-42=14', '14-10=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[10, 2], Operations: ['56-42=14', '14/7=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,12 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[56, 7, 10, 42], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [7, 10, 14]
Generated Node #0,3: 12:[7, 10, 14] Operation: 56-42=14
Moving to Node #0,3
Current State: 12:[7, 10, 14], Operations: ['56-42=14']
Exploring Operation: 14/7=2, Resulting Numbers: [10, 2]
Generated Node #0,3,4: 12:[10, 2] Operation: 14/7=2
Moving to Node #0,3,4
Current State: 12:[10, 2], Operations: ['56-42=14', '14/7=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 |
hs_5
|
mult_heuristic
|
[
90,
48,
61,
78
] | 97 |
[
"90-48=42",
"61+78=139",
"139-42=97"
] |
Current State: 97:[90, 48, 61, 78], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [61, 78, 42]
Generated Node #2: [61, 78, 42] from Operation: 90-48=42
Current State: 97:[61, 78, 42], Operations: ['90-48=42']
Exploring Operation: 61+78=139, Resulting Numbers: [42, 139]
Generated Node #3: [42, 139] from Operation: 61+78=139
Current State: 97:[42, 139], Operations: ['90-48=42', '61+78=139']
Exploring Operation: 139-42=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[90, 48, 61, 78], Operations: []
Exploring Operation: 90+48=138, Resulting Numbers: [61, 78, 138]
Generated Node #0,0: 97:[61, 78, 138] Operation: 90+48=138
Exploring Operation: 48+78=126, Resulting Numbers: [90, 61, 126]
Generated Node #0,1: 97:[90, 61, 126] Operation: 48+78=126
Exploring Operation: 48+61=109, Resulting Numbers: [90, 78, 109]
Generated Node #0,2: 97:[90, 78, 109] Operation: 48+61=109
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[90, 78, 109], Operations: ['48+61=109']
Exploring Operation: 90+78=168, Resulting Numbers: [109, 168]
Generated Node #0,2,0: 97:[109, 168] Operation: 90+78=168
Exploring Operation: 109-78=31, Resulting Numbers: [90, 31]
Generated Node #0,2,1: 97:[90, 31] Operation: 109-78=31
Exploring Operation: 90-78=12, Resulting Numbers: [109, 12]
Generated Node #0,2,2: 97:[109, 12] Operation: 90-78=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[90, 31], Operations: ['48+61=109', '109-78=31']
Exploring Operation: 90*31=2790, Resulting Numbers: [2790]
2790,97 unequal: No Solution
Exploring Operation: 90-31=59, Resulting Numbers: [59]
59,97 unequal: No Solution
Exploring Operation: 90+31=121, Resulting Numbers: [121]
121,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[109, 168], Operations: ['48+61=109', '90+78=168']
Exploring Operation: 168-109=59, Resulting Numbers: [59]
59,97 unequal: No Solution
Exploring Operation: 109+168=277, Resulting Numbers: [277]
277,97 unequal: No Solution
Exploring Operation: 109*168=18312, Resulting Numbers: [18312]
18312,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[109, 12], Operations: ['48+61=109', '90-78=12']
Exploring Operation: 109+12=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 109*12=1308, Resulting Numbers: [1308]
1308,97 unequal: No Solution
Exploring Operation: 109-12=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[90, 48, 61, 78], Operations: []
Exploring Operation: 48+61=109, Resulting Numbers: [90, 78, 109]
Generated Node #0,2: 97:[90, 78, 109] Operation: 48+61=109
Moving to Node #0,2
Current State: 97:[90, 78, 109], Operations: ['48+61=109']
Exploring Operation: 90-78=12, Resulting Numbers: [109, 12]
Generated Node #0,2,2: 97:[109, 12] Operation: 90-78=12
Moving to Node #0,2,2
Current State: 97:[109, 12], Operations: ['48+61=109', '90-78=12']
Exploring Operation: 109-12=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 |
hs_3
|
sum_heuristic
|
[
63,
2,
75,
25
] | 63 |
[
"75/25=3",
"3-2=1",
"63*1=63"
] |
Current State: 63:[63, 2, 75, 25], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [63, 2, 3]
Generated Node #2: [63, 2, 3] from Operation: 75/25=3
Current State: 63:[63, 2, 3], Operations: ['75/25=3']
Exploring Operation: 3-2=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 3-2=1
Current State: 63:[63, 1], Operations: ['75/25=3', '3-2=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[63, 2, 75, 25], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [2, 25, 12]
Generated Node #0,0: 63:[2, 25, 12] Operation: 75-63=12
Exploring Operation: 75-2=73, Resulting Numbers: [63, 25, 73]
Generated Node #0,1: 63:[63, 25, 73] Operation: 75-2=73
Exploring Operation: 25-2=23, Resulting Numbers: [63, 75, 23]
Generated Node #0,2: 63:[63, 75, 23] Operation: 25-2=23
Exploring Operation: 75-25=50, Resulting Numbers: [63, 2, 50]
Generated Node #0,3: 63:[63, 2, 50] Operation: 75-25=50
Exploring Operation: 75/25=3, Resulting Numbers: [63, 2, 3]
Generated Node #0,4: 63:[63, 2, 3] Operation: 75/25=3
Moving to Node #0,4
Current State: 63:[63, 2, 3], Operations: ['75/25=3']
Exploring Operation: 63-2=61, Resulting Numbers: [3, 61]
Generated Node #0,4,0: 63:[3, 61] Operation: 63-2=61
Exploring Operation: 2*3=6, Resulting Numbers: [63, 6]
Generated Node #0,4,1: 63:[63, 6] Operation: 2*3=6
Exploring Operation: 63+2=65, Resulting Numbers: [3, 65]
Generated Node #0,4,2: 63:[3, 65] Operation: 63+2=65
Exploring Operation: 2+3=5, Resulting Numbers: [63, 5]
Generated Node #0,4,3: 63:[63, 5] Operation: 2+3=5
Exploring Operation: 63/3=21, Resulting Numbers: [2, 21]
Generated Node #0,4,4: 63:[2, 21] Operation: 63/3=21
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 63:[63, 6], Operations: ['75/25=3', '2*3=6']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,63 unequal: No Solution
Exploring Operation: 63*6=378, Resulting Numbers: [378]
378,63 unequal: No Solution
Exploring Operation: 63+6=69, Resulting Numbers: [69]
69,63 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 #0,4,4
Current State: 63:[2, 21], Operations: ['75/25=3', '63/3=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,63 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,63 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 #0,4,0
Current State: 63:[3, 61], Operations: ['75/25=3', '63-2=61']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,63 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,63 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,63 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 #0,4,2
Current State: 63:[3, 65], Operations: ['75/25=3', '63+2=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,63 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,63 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,63 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 #0,4,3
Current State: 63:[63, 5], Operations: ['75/25=3', '2+3=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,63 unequal: No Solution
Exploring Operation: 63*5=315, Resulting Numbers: [315]
315,63 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 63:[2, 25, 12], Operations: ['75-63=12']
Exploring Operation: 2*12=24, Resulting Numbers: [25, 24]
Generated Node #0,0,0: 63:[25, 24] Operation: 2*12=24
Exploring Operation: 12/2=6, Resulting Numbers: [25, 6]
Generated Node #0,0,1: 63:[25, 6] Operation: 12/2=6
Exploring Operation: 25-12=13, Resulting Numbers: [2, 13]
Generated Node #0,0,2: 63:[2, 13] Operation: 25-12=13
Exploring Operation: 25-2=23, Resulting Numbers: [12, 23]
Generated Node #0,0,3: 63:[12, 23] Operation: 25-2=23
Exploring Operation: 12-2=10, Resulting Numbers: [25, 10]
Generated Node #0,0,4: 63:[25, 10] Operation: 12-2=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[25, 6], Operations: ['75-63=12', '12/2=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,63 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,63 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 #0,0,2
Current State: 63:[2, 13], Operations: ['75-63=12', '25-12=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,63 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,63 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 #0,0,3
Current State: 63:[12, 23], Operations: ['75-63=12', '25-2=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,63 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 #0,0,4
Current State: 63:[25, 10], Operations: ['75-63=12', '12-2=10']
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,63 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,63 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:[25, 24], Operations: ['75-63=12', '2*12=24']
Exploring Operation: 25*24=600, Resulting Numbers: [600]
600,63 unequal: No Solution
Exploring Operation: 25+24=49, Resulting Numbers: [49]
49,63 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,63 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:[63, 25, 73], Operations: ['75-2=73']
Exploring Operation: 73-25=48, Resulting Numbers: [63, 48]
Generated Node #0,1,0: 63:[63, 48] Operation: 73-25=48
Exploring Operation: 63+25=88, Resulting Numbers: [73, 88]
Generated Node #0,1,1: 63:[73, 88] Operation: 63+25=88
Exploring Operation: 63-25=38, Resulting Numbers: [73, 38]
Generated Node #0,1,2: 63:[73, 38] Operation: 63-25=38
Exploring Operation: 73-63=10, Resulting Numbers: [25, 10]
Generated Node #0,1,3: 63:[25, 10] Operation: 73-63=10
Exploring Operation: 25+73=98, Resulting Numbers: [63, 98]
Generated Node #0,1,4: 63:[63, 98] Operation: 25+73=98
Moving to Node #0,2
Current State: 63:[63, 75, 23], Operations: ['25-2=23']
Exploring Operation: 75+23=98, Resulting Numbers: [63, 98]
Generated Node #0,2,0: 63:[63, 98] Operation: 75+23=98
Exploring Operation: 75-23=52, Resulting Numbers: [63, 52]
Generated Node #0,2,1: 63:[63, 52] Operation: 75-23=52
Exploring Operation: 63-23=40, Resulting Numbers: [75, 40]
Generated Node #0,2,2: 63:[75, 40] Operation: 63-23=40
Exploring Operation: 63+23=86, Resulting Numbers: [75, 86]
Generated Node #0,2,3: 63:[75, 86] Operation: 63+23=86
Exploring Operation: 75-63=12, Resulting Numbers: [23, 12]
Generated Node #0,2,4: 63:[23, 12] Operation: 75-63=12
Moving to Node #0,3
Current State: 63:[63, 2, 50], Operations: ['75-25=50']
Exploring Operation: 63+2=65, Resulting Numbers: [50, 65]
Generated Node #0,3,0: 63:[50, 65] Operation: 63+2=65
Exploring Operation: 63-2=61, Resulting Numbers: [50, 61]
Generated Node #0,3,1: 63:[50, 61] Operation: 63-2=61
Exploring Operation: 2+50=52, Resulting Numbers: [63, 52]
Generated Node #0,3,2: 63:[63, 52] Operation: 2+50=52
Exploring Operation: 63-50=13, Resulting Numbers: [2, 13]
Generated Node #0,3,3: 63:[2, 13] Operation: 63-50=13
Exploring Operation: 50/2=25, Resulting Numbers: [63, 25]
Generated Node #0,3,4: 63:[63, 25] Operation: 50/2=25
Moving to Node #0,3,4
Current State: 63:[63, 25], Operations: ['75-25=50', '50/2=25']
Exploring Operation: 63*25=1575, Resulting Numbers: [1575]
1575,63 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,63 unequal: No Solution
Moving to Node #0,2,4
Current State: 63:[23, 12], Operations: ['25-2=23', '75-63=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,63 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[2, 13], Operations: ['75-25=50', '63-50=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[25, 10], Operations: ['75-2=73', '73-63=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,63 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[63, 52], Operations: ['25-2=23', '75-23=52']
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,63 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,63 unequal: No Solution
Moving to Node #0,3,2
Current State: 63:[63, 52], Operations: ['75-25=50', '2+50=52']
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,63 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[50, 65], Operations: ['75-25=50', '63+2=65']
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 50+65=115, Resulting Numbers: [115]
115,63 unequal: No Solution
Exploring Operation: 50*65=3250, Resulting Numbers: [3250]
3250,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[63, 48], Operations: ['75-2=73', '73-25=48']
Exploring Operation: 63*48=3024, Resulting Numbers: [3024]
3024,63 unequal: No Solution
Exploring Operation: 63+48=111, Resulting Numbers: [111]
111,63 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[50, 61], Operations: ['75-25=50', '63-2=61']
Exploring Operation: 50*61=3050, Resulting Numbers: [3050]
3050,63 unequal: No Solution
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 50+61=111, Resulting Numbers: [111]
111,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[73, 38], Operations: ['75-2=73', '63-25=38']
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,63 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[75, 40], Operations: ['25-2=23', '63-23=40']
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 75*40=3000, Resulting Numbers: [3000]
3000,63 unequal: No Solution
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[75, 86], Operations: ['25-2=23', '63+23=86']
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 75*86=6450, Resulting Numbers: [6450]
6450,63 unequal: No Solution
Exploring Operation: 75+86=161, Resulting Numbers: [161]
161,63 unequal: No Solution
Moving to Node #0,1,4
Current State: 63:[63, 98], Operations: ['75-2=73', '25+73=98']
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 63*98=6174, Resulting Numbers: [6174]
6174,63 unequal: No Solution
Exploring Operation: 63+98=161, Resulting Numbers: [161]
161,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[63, 98], Operations: ['25-2=23', '75+23=98']
Exploring Operation: 63+98=161, Resulting Numbers: [161]
161,63 unequal: No Solution
Exploring Operation: 98-63=35, Resulting Numbers: [35]
35,63 unequal: No Solution
Exploring Operation: 63*98=6174, Resulting Numbers: [6174]
6174,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[73, 88], Operations: ['75-2=73', '63+25=88']
Exploring Operation: 73*88=6424, Resulting Numbers: [6424]
6424,63 unequal: No Solution
Exploring Operation: 73+88=161, Resulting Numbers: [161]
161,63 unequal: No Solution
Exploring Operation: 88-73=15, Resulting Numbers: [15]
15,63 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
82,
92,
13,
70
] | 60 |
[
"92-82=10",
"13*10=130",
"130-70=60"
] |
Current State: 60:[82, 92, 13, 70], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [13, 70, 10]
Generated Node #2: [13, 70, 10] from Operation: 92-82=10
Current State: 60:[13, 70, 10], Operations: ['92-82=10']
Exploring Operation: 13*10=130, Resulting Numbers: [70, 130]
Generated Node #3: [70, 130] from Operation: 13*10=130
Current State: 60:[70, 130], Operations: ['92-82=10', '13*10=130']
Exploring Operation: 130-70=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[82, 92, 13, 70], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [13, 70, 10]
Generated Node #0,0: 60:[13, 70, 10] Operation: 92-82=10
Exploring Operation: 92-70=22, Resulting Numbers: [82, 13, 22]
Generated Node #0,1: 60:[82, 13, 22] Operation: 92-70=22
Moving to Node #0,0
Current State: 60:[13, 70, 10], Operations: ['92-82=10']
Exploring Operation: 70-10=60, Resulting Numbers: [13, 60]
Generated Node #0,0,0: 60:[13, 60] Operation: 70-10=60
Exploring Operation: 70/10=7, Resulting Numbers: [13, 7]
Generated Node #0,0,1: 60:[13, 7] Operation: 70/10=7
Moving to Node #0,1
Current State: 60:[82, 13, 22], Operations: ['92-70=22']
Exploring Operation: 82-13=69, Resulting Numbers: [22, 69]
Generated Node #0,1,0: 60:[22, 69] Operation: 82-13=69
Exploring Operation: 82-22=60, Resulting Numbers: [13, 60]
Generated Node #0,1,1: 60:[13, 60] Operation: 82-22=60
Moving to Node #0,0,0
Current State: 60:[13, 60], Operations: ['92-82=10', '70-10=60']
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,60 unequal: No Solution
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[13, 60], Operations: ['92-70=22', '82-22=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[13, 7], Operations: ['92-82=10', '70/10=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[22, 69], Operations: ['92-70=22', '82-13=69']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,60 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
29,
9,
24,
35
] | 30 |
[
"35-29=6",
"9*6=54",
"54-24=30"
] |
Current State: 30:[29, 9, 24, 35], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [9, 24, 6]
Generated Node #2: [9, 24, 6] from Operation: 35-29=6
Current State: 30:[9, 24, 6], Operations: ['35-29=6']
Exploring Operation: 9*6=54, Resulting Numbers: [24, 54]
Generated Node #3: [24, 54] from Operation: 9*6=54
Current State: 30:[24, 54], Operations: ['35-29=6', '9*6=54']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[29, 9, 24, 35], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [9, 24, 6]
Generated Node #0,0: 30:[9, 24, 6] Operation: 35-29=6
Exploring Operation: 35-24=11, Resulting Numbers: [29, 9, 11]
Generated Node #0,1: 30:[29, 9, 11] Operation: 35-24=11
Exploring Operation: 24-9=15, Resulting Numbers: [29, 35, 15]
Generated Node #0,2: 30:[29, 35, 15] Operation: 24-9=15
Exploring Operation: 29-24=5, Resulting Numbers: [9, 35, 5]
Generated Node #0,3: 30:[9, 35, 5] Operation: 29-24=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[29, 9, 11], Operations: ['35-24=11']
Exploring Operation: 11-9=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 30:[29, 2] Operation: 11-9=2
Exploring Operation: 9+11=20, Resulting Numbers: [29, 20]
Generated Node #0,1,1: 30:[29, 20] Operation: 9+11=20
Exploring Operation: 29-9=20, Resulting Numbers: [11, 20]
Generated Node #0,1,2: 30:[11, 20] Operation: 29-9=20
Exploring Operation: 29-11=18, Resulting Numbers: [9, 18]
Generated Node #0,1,3: 30:[9, 18] Operation: 29-11=18
Moving to Node #0,1,0
Current State: 30:[29, 2], Operations: ['35-24=11', '11-9=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,30 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Moving to Node #0,1,3
Current State: 30:[9, 18], Operations: ['35-24=11', '29-11=18']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,30 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[11, 20], Operations: ['35-24=11', '29-9=20']
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,30 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[29, 20], Operations: ['35-24=11', '9+11=20']
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[29, 35, 15], Operations: ['24-9=15']
Exploring Operation: 29+15=44, Resulting Numbers: [35, 44]
Generated Node #0,2,0: 30:[35, 44] Operation: 29+15=44
Exploring Operation: 35-29=6, Resulting Numbers: [15, 6]
Generated Node #0,2,1: 30:[15, 6] Operation: 35-29=6
Exploring Operation: 35-15=20, Resulting Numbers: [29, 20]
Generated Node #0,2,2: 30:[29, 20] Operation: 35-15=20
Exploring Operation: 29-15=14, Resulting Numbers: [35, 14]
Generated Node #0,2,3: 30:[35, 14] Operation: 29-15=14
Moving to Node #0,2,1
Current State: 30:[15, 6], Operations: ['24-9=15', '35-29=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Moving to Node #0,2,3
Current State: 30:[35, 14], Operations: ['24-9=15', '29-15=14']
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,30 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[29, 20], Operations: ['24-9=15', '35-15=20']
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,30 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[35, 44], Operations: ['24-9=15', '29+15=44']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 35+44=79, Resulting Numbers: [79]
79,30 unequal: No Solution
Exploring Operation: 35*44=1540, Resulting Numbers: [1540]
1540,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[9, 35, 5], Operations: ['29-24=5']
Exploring Operation: 35/5=7, Resulting Numbers: [9, 7]
Generated Node #0,3,0: 30:[9, 7] Operation: 35/5=7
Exploring Operation: 35-9=26, Resulting Numbers: [5, 26]
Generated Node #0,3,1: 30:[5, 26] Operation: 35-9=26
Exploring Operation: 9+5=14, Resulting Numbers: [35, 14]
Generated Node #0,3,2: 30:[35, 14] Operation: 9+5=14
Exploring Operation: 35-5=30, Resulting Numbers: [9, 30]
Generated Node #0,3,3: 30:[9, 30] Operation: 35-5=30
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 30:[9, 30], Operations: ['29-24=5', '35-5=30']
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 30:[9, 7], Operations: ['29-24=5', '35/5=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 30:[5, 26], Operations: ['29-24=5', '35-9=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,30 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 30:[35, 14], Operations: ['29-24=5', '9+5=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[9, 24, 6], Operations: ['35-29=6']
Exploring Operation: 24-9=15, Resulting Numbers: [6, 15]
Generated Node #0,0,0: 30:[6, 15] Operation: 24-9=15
Exploring Operation: 9+24=33, Resulting Numbers: [6, 33]
Generated Node #0,0,1: 30:[6, 33] Operation: 9+24=33
Exploring Operation: 24/6=4, Resulting Numbers: [9, 4]
Generated Node #0,0,2: 30:[9, 4] Operation: 24/6=4
Exploring Operation: 24+6=30, Resulting Numbers: [9, 30]
Generated Node #0,0,3: 30:[9, 30] Operation: 24+6=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[6, 15], Operations: ['35-29=6', '24-9=15']
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,30 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 30:[9, 30], Operations: ['35-29=6', '24+6=30']
Exploring Operation: 9*30=270, Resulting Numbers: [270]
270,30 unequal: No Solution
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 30:[9, 4], Operations: ['35-29=6', '24/6=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,30 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,30 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[6, 33], Operations: ['35-29=6', '9+24=33']
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,30 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
21,
24,
29,
21
] | 11 |
[
"24-21=3",
"29-21=8",
"3+8=11"
] |
Current State: 11:[21, 24, 29, 21], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [29, 3]
Generated Node #2: [29, 3] from Operation: 24-21=3
Current State: 11:[29, 3], Operations: ['24-21=3']
Exploring Operation: 29-21=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 29-21=8
Current State: 11:[3, 8], Operations: ['24-21=3', '29-21=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[21, 24, 29, 21], Operations: []
Exploring Operation: 29-21=8, Resulting Numbers: [24, 21, 8]
Generated Node #0,0: 11:[24, 21, 8] Operation: 29-21=8
Exploring Operation: 24-21=3, Resulting Numbers: [29, 21, 3]
Generated Node #0,1: 11:[29, 21, 3] Operation: 24-21=3
Exploring Operation: 29-21=8, Resulting Numbers: [21, 24, 8]
Generated Node #0,2: 11:[21, 24, 8] Operation: 29-21=8
Exploring Operation: 29-24=5, Resulting Numbers: [21, 21, 5]
Generated Node #0,3: 11:[21, 21, 5] Operation: 29-24=5
Moving to Node #0,0
Current State: 11:[24, 21, 8], Operations: ['29-21=8']
Exploring Operation: 24-21=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 11:[8, 3] Operation: 24-21=3
Exploring Operation: 21-8=13, Resulting Numbers: [24, 13]
Generated Node #0,0,1: 11:[24, 13] Operation: 21-8=13
Exploring Operation: 24/8=3, Resulting Numbers: [21, 3]
Generated Node #0,0,2: 11:[21, 3] Operation: 24/8=3
Exploring Operation: 24-8=16, Resulting Numbers: [21, 16]
Generated Node #0,0,3: 11:[21, 16] Operation: 24-8=16
Moving to Node #0,3
Current State: 11:[21, 21, 5], Operations: ['29-24=5']
Exploring Operation: 21-5=16, Resulting Numbers: [21, 16]
Generated Node #0,3,0: 11:[21, 16] Operation: 21-5=16
Exploring Operation: 21/21=1, Resulting Numbers: [5, 1]
Generated Node #0,3,1: 11:[5, 1] Operation: 21/21=1
Exploring Operation: 21-21=0, Resulting Numbers: [5, 0]
Generated Node #0,3,2: 11:[5, 0] Operation: 21-21=0
Exploring Operation: 21-5=16, Resulting Numbers: [21, 16]
Generated Node #0,3,3: 11:[21, 16] Operation: 21-5=16
Moving to Node #0,2
Current State: 11:[21, 24, 8], Operations: ['29-21=8']
Exploring Operation: 24-21=3, Resulting Numbers: [8, 3]
Generated Node #0,2,0: 11:[8, 3] Operation: 24-21=3
Exploring Operation: 21-8=13, Resulting Numbers: [24, 13]
Generated Node #0,2,1: 11:[24, 13] Operation: 21-8=13
Exploring Operation: 24-8=16, Resulting Numbers: [21, 16]
Generated Node #0,2,2: 11:[21, 16] Operation: 24-8=16
Exploring Operation: 24/8=3, Resulting Numbers: [21, 3]
Generated Node #0,2,3: 11:[21, 3] Operation: 24/8=3
Moving to Node #0,1
Current State: 11:[29, 21, 3], Operations: ['24-21=3']
Exploring Operation: 29-21=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 11:[3, 8] Operation: 29-21=8
Exploring Operation: 21/3=7, Resulting Numbers: [29, 7]
Generated Node #0,1,1: 11:[29, 7] Operation: 21/3=7
Exploring Operation: 29-3=26, Resulting Numbers: [21, 26]
Generated Node #0,1,2: 11:[21, 26] Operation: 29-3=26
Exploring Operation: 21-3=18, Resulting Numbers: [29, 18]
Generated Node #0,1,3: 11:[29, 18] Operation: 21-3=18
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[3, 8], Operations: ['24-21=3', '29-21=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[21, 24, 29, 21], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [29, 21, 3]
Generated Node #0,1: 11:[29, 21, 3] Operation: 24-21=3
Moving to Node #0,1
Current State: 11:[29, 21, 3], Operations: ['24-21=3']
Exploring Operation: 29-21=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 11:[3, 8] Operation: 29-21=8
Moving to Node #0,1,0
Current State: 11:[3, 8], Operations: ['24-21=3', '29-21=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 |
hs_4
|
mult_heuristic
|
[
8,
80,
4,
36
] | 75 |
[
"4+36=40",
"40/8=5",
"80-5=75"
] |
Current State: 75:[8, 80, 4, 36], Operations: []
Exploring Operation: 4+36=40, Resulting Numbers: [8, 80, 40]
Generated Node #2: [8, 80, 40] from Operation: 4+36=40
Current State: 75:[8, 80, 40], Operations: ['4+36=40']
Exploring Operation: 40/8=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 40/8=5
Current State: 75:[80, 5], Operations: ['4+36=40', '40/8=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[8, 80, 4, 36], Operations: []
Exploring Operation: 80-8=72, Resulting Numbers: [4, 36, 72]
Generated Node #0,0: 75:[4, 36, 72] Operation: 80-8=72
Exploring Operation: 80-4=76, Resulting Numbers: [8, 36, 76]
Generated Node #0,1: 75:[8, 36, 76] Operation: 80-4=76
Exploring Operation: 36/4=9, Resulting Numbers: [8, 80, 9]
Generated Node #0,2: 75:[8, 80, 9] Operation: 36/4=9
Exploring Operation: 36-8=28, Resulting Numbers: [80, 4, 28]
Generated Node #0,3: 75:[80, 4, 28] Operation: 36-8=28
Moving to Node #0,3
Current State: 75:[80, 4, 28], Operations: ['36-8=28']
Exploring Operation: 80/4=20, Resulting Numbers: [28, 20]
Generated Node #0,3,0: 75:[28, 20] Operation: 80/4=20
Exploring Operation: 28/4=7, Resulting Numbers: [80, 7]
Generated Node #0,3,1: 75:[80, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [80, 24]
Generated Node #0,3,2: 75:[80, 24] Operation: 28-4=24
Exploring Operation: 80-4=76, Resulting Numbers: [28, 76]
Generated Node #0,3,3: 75:[28, 76] Operation: 80-4=76
Moving to Node #0,2
Current State: 75:[8, 80, 9], Operations: ['36/4=9']
Exploring Operation: 9-8=1, Resulting Numbers: [80, 1]
Generated Node #0,2,0: 75:[80, 1] Operation: 9-8=1
Exploring Operation: 80-8=72, Resulting Numbers: [9, 72]
Generated Node #0,2,1: 75:[9, 72] Operation: 80-8=72
Exploring Operation: 8+9=17, Resulting Numbers: [80, 17]
Generated Node #0,2,2: 75:[80, 17] Operation: 8+9=17
Exploring Operation: 80-9=71, Resulting Numbers: [8, 71]
Generated Node #0,2,3: 75:[8, 71] Operation: 80-9=71
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[80, 1], Operations: ['36/4=9', '9-8=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,75 unequal: No Solution
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 80/1=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 80*1=80, Resulting Numbers: [80]
80,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[9, 72], Operations: ['36/4=9', '80-8=72']
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 9+72=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,75 unequal: No Solution
Exploring Operation: 9*72=648, Resulting Numbers: [648]
648,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[80, 17], Operations: ['36/4=9', '8+9=17']
Exploring Operation: 80+17=97, Resulting Numbers: [97]
97,75 unequal: No Solution
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,75 unequal: No Solution
Exploring Operation: 80*17=1360, Resulting Numbers: [1360]
1360,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 75:[8, 71], Operations: ['36/4=9', '80-9=71']
Exploring Operation: 8*71=568, Resulting Numbers: [568]
568,75 unequal: No Solution
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,75 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 75:[8, 36, 76], Operations: ['80-4=76']
Exploring Operation: 76-8=68, Resulting Numbers: [36, 68]
Generated Node #0,1,0: 75:[36, 68] Operation: 76-8=68
Exploring Operation: 76-36=40, Resulting Numbers: [8, 40]
Generated Node #0,1,1: 75:[8, 40] Operation: 76-36=40
Exploring Operation: 8+36=44, Resulting Numbers: [76, 44]
Generated Node #0,1,2: 75:[76, 44] Operation: 8+36=44
Exploring Operation: 36-8=28, Resulting Numbers: [76, 28]
Generated Node #0,1,3: 75:[76, 28] Operation: 36-8=28
Moving to Node #0,0
Current State: 75:[4, 36, 72], Operations: ['80-8=72']
Exploring Operation: 36/4=9, Resulting Numbers: [72, 9]
Generated Node #0,0,0: 75:[72, 9] Operation: 36/4=9
Exploring Operation: 4+72=76, Resulting Numbers: [36, 76]
Generated Node #0,0,1: 75:[36, 76] Operation: 4+72=76
Exploring Operation: 36-4=32, Resulting Numbers: [72, 32]
Generated Node #0,0,2: 75:[72, 32] Operation: 36-4=32
Exploring Operation: 72/36=2, Resulting Numbers: [4, 2]
Generated Node #0,0,3: 75:[4, 2] Operation: 72/36=2
Moving to Node #0,0,3
Current State: 75:[4, 2], Operations: ['80-8=72', '72/36=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[28, 76], Operations: ['36-8=28', '80-4=76']
Exploring Operation: 28+76=104, Resulting Numbers: [104]
104,75 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 28*76=2128, Resulting Numbers: [2128]
2128,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[76, 28], Operations: ['80-4=76', '36-8=28']
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,75 unequal: No Solution
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,75 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[80, 24], Operations: ['36-8=28', '28-4=24']
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,75 unequal: No Solution
Exploring Operation: 80*24=1920, Resulting Numbers: [1920]
1920,75 unequal: No Solution
Exploring Operation: 80+24=104, Resulting Numbers: [104]
104,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[80, 7], Operations: ['36-8=28', '28/4=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,75 unequal: No Solution
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[72, 9], Operations: ['80-8=72', '36/4=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,75 unequal: No Solution
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,75 unequal: No Solution
Exploring Operation: 72*9=648, Resulting Numbers: [648]
648,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[28, 20], Operations: ['36-8=28', '80/4=20']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[72, 32], Operations: ['80-8=72', '36-4=32']
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 72*32=2304, Resulting Numbers: [2304]
2304,75 unequal: No Solution
Exploring Operation: 72+32=104, Resulting Numbers: [104]
104,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[36, 76], Operations: ['80-8=72', '4+72=76']
Exploring Operation: 36+76=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 36*76=2736, Resulting Numbers: [2736]
2736,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[36, 68], Operations: ['80-4=76', '76-8=68']
Exploring Operation: 36+68=104, Resulting Numbers: [104]
104,75 unequal: No Solution
Exploring Operation: 36*68=2448, Resulting Numbers: [2448]
2448,75 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[8, 40], Operations: ['80-4=76', '76-36=40']
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 8+40=48, Resulting Numbers: [48]
48,75 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 8*40=320, Resulting Numbers: [320]
320,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[76, 44], Operations: ['80-4=76', '8+36=44']
Exploring Operation: 76-44=32, Resulting Numbers: [32]
32,75 unequal: No Solution
Exploring Operation: 76*44=3344, Resulting Numbers: [3344]
3344,75 unequal: No Solution
Exploring Operation: 76+44=120, Resulting Numbers: [120]
120,75 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
64,
43,
27,
4
] | 24 |
[
"64-43=21",
"27-21=6",
"4*6=24"
] |
Current State: 24:[64, 43, 27, 4], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [27, 4, 21]
Generated Node #2: [27, 4, 21] from Operation: 64-43=21
Current State: 24:[27, 4, 21], Operations: ['64-43=21']
Exploring Operation: 27-21=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 27-21=6
Current State: 24:[4, 6], Operations: ['64-43=21', '27-21=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[64, 43, 27, 4], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [27, 4, 21]
Generated Node #0,0: 24:[27, 4, 21] Operation: 64-43=21
Moving to Node #0,0
Current State: 24:[27, 4, 21], Operations: ['64-43=21']
Exploring Operation: 27-21=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 24:[4, 6] Operation: 27-21=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[4, 6], Operations: ['64-43=21', '27-21=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[64, 43, 27, 4], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [27, 4, 21]
Generated Node #0,0: 24:[27, 4, 21] Operation: 64-43=21
Moving to Node #0,0
Current State: 24:[27, 4, 21], Operations: ['64-43=21']
Exploring Operation: 27-21=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 24:[4, 6] Operation: 27-21=6
Moving to Node #0,0,0
Current State: 24:[4, 6], Operations: ['64-43=21', '27-21=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
69,
90,
53,
40
] | 43 |
[
"69+90=159",
"159/53=3",
"40+3=43"
] |
Current State: 43:[69, 90, 53, 40], Operations: []
Exploring Operation: 69+90=159, Resulting Numbers: [53, 40, 159]
Generated Node #2: [53, 40, 159] from Operation: 69+90=159
Current State: 43:[53, 40, 159], Operations: ['69+90=159']
Exploring Operation: 159/53=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 159/53=3
Current State: 43:[40, 3], Operations: ['69+90=159', '159/53=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
Current State: 43:[69, 90, 53, 40], Operations: []
Exploring Operation: 69-40=29, Resulting Numbers: [90, 53, 29]
Generated Node #0,0: 43:[90, 53, 29] Operation: 69-40=29
Exploring Operation: 90-69=21, Resulting Numbers: [53, 40, 21]
Generated Node #0,1: 43:[53, 40, 21] Operation: 90-69=21
Exploring Operation: 90-53=37, Resulting Numbers: [69, 40, 37]
Generated Node #0,2: 43:[69, 40, 37] Operation: 90-53=37
Exploring Operation: 90-40=50, Resulting Numbers: [69, 53, 50]
Generated Node #0,3: 43:[69, 53, 50] Operation: 90-40=50
Moving to Node #0,1
Current State: 43:[53, 40, 21], Operations: ['90-69=21']
Exploring Operation: 53-21=32, Resulting Numbers: [40, 32]
Generated Node #0,1,0: 43:[40, 32] Operation: 53-21=32
Exploring Operation: 53+21=74, Resulting Numbers: [40, 74]
Generated Node #0,1,1: 43:[40, 74] Operation: 53+21=74
Exploring Operation: 40-21=19, Resulting Numbers: [53, 19]
Generated Node #0,1,2: 43:[53, 19] Operation: 40-21=19
Exploring Operation: 40+21=61, Resulting Numbers: [53, 61]
Generated Node #0,1,3: 43:[53, 61] Operation: 40+21=61
Moving to Node #0,2
Current State: 43:[69, 40, 37], Operations: ['90-53=37']
Exploring Operation: 69+37=106, Resulting Numbers: [40, 106]
Generated Node #0,2,0: 43:[40, 106] Operation: 69+37=106
Exploring Operation: 40+37=77, Resulting Numbers: [69, 77]
Generated Node #0,2,1: 43:[69, 77] Operation: 40+37=77
Exploring Operation: 69-37=32, Resulting Numbers: [40, 32]
Generated Node #0,2,2: 43:[40, 32] Operation: 69-37=32
Exploring Operation: 69-40=29, Resulting Numbers: [37, 29]
Generated Node #0,2,3: 43:[37, 29] Operation: 69-40=29
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 43:[40, 32], Operations: ['90-53=37', '69-37=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,43 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 43:[37, 29], Operations: ['90-53=37', '69-40=29']
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,43 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 43:[69, 77], Operations: ['90-53=37', '40+37=77']
Exploring Operation: 69*77=5313, Resulting Numbers: [5313]
5313,43 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 69+77=146, Resulting Numbers: [146]
146,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 43:[40, 106], Operations: ['90-53=37', '69+37=106']
Exploring Operation: 106-40=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 40*106=4240, Resulting Numbers: [4240]
4240,43 unequal: No Solution
Exploring Operation: 40+106=146, Resulting Numbers: [146]
146,43 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: 43:[69, 53, 50], Operations: ['90-40=50']
Exploring Operation: 53-50=3, Resulting Numbers: [69, 3]
Generated Node #0,3,0: 43:[69, 3] Operation: 53-50=3
Exploring Operation: 69-50=19, Resulting Numbers: [53, 19]
Generated Node #0,3,1: 43:[53, 19] Operation: 69-50=19
Exploring Operation: 69-53=16, Resulting Numbers: [50, 16]
Generated Node #0,3,2: 43:[50, 16] Operation: 69-53=16
Exploring Operation: 69+53=122, Resulting Numbers: [50, 122]
Generated Node #0,3,3: 43:[50, 122] Operation: 69+53=122
Moving to Node #0,0
Current State: 43:[90, 53, 29], Operations: ['69-40=29']
Exploring Operation: 90+29=119, Resulting Numbers: [53, 119]
Generated Node #0,0,0: 43:[53, 119] Operation: 90+29=119
Exploring Operation: 90-53=37, Resulting Numbers: [29, 37]
Generated Node #0,0,1: 43:[29, 37] Operation: 90-53=37
Exploring Operation: 90-29=61, Resulting Numbers: [53, 61]
Generated Node #0,0,2: 43:[53, 61] Operation: 90-29=61
Exploring Operation: 53-29=24, Resulting Numbers: [90, 24]
Generated Node #0,0,3: 43:[90, 24] Operation: 53-29=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[29, 37], Operations: ['69-40=29', '90-53=37']
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[53, 61], Operations: ['69-40=29', '90-29=61']
Exploring Operation: 53*61=3233, Resulting Numbers: [3233]
3233,43 unequal: No Solution
Exploring Operation: 53+61=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 43:[90, 24], Operations: ['69-40=29', '53-29=24']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 90+24=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 90*24=2160, Resulting Numbers: [2160]
2160,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[53, 119], Operations: ['69-40=29', '90+29=119']
Exploring Operation: 53+119=172, Resulting Numbers: [172]
172,43 unequal: No Solution
Exploring Operation: 119-53=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 53*119=6307, Resulting Numbers: [6307]
6307,43 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: 43:[40, 32], Operations: ['90-69=21', '53-21=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 40*32=1280, Resulting Numbers: [1280]
1280,43 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[53, 61], Operations: ['90-69=21', '40+21=61']
Exploring Operation: 53*61=3233, Resulting Numbers: [3233]
3233,43 unequal: No Solution
Exploring Operation: 53+61=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 61-53=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[40, 74], Operations: ['90-69=21', '53+21=74']
Exploring Operation: 40*74=2960, Resulting Numbers: [2960]
2960,43 unequal: No Solution
Exploring Operation: 40+74=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Moving to Node #0,3,2
Current State: 43:[50, 16], Operations: ['90-40=50', '69-53=16']
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 50*16=800, Resulting Numbers: [800]
800,43 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Moving to Node #0,3,1
Current State: 43:[53, 19], Operations: ['90-40=50', '69-50=19']
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,43 unequal: No Solution
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[53, 19], Operations: ['90-69=21', '40-21=19']
Exploring Operation: 53*19=1007, Resulting Numbers: [1007]
1007,43 unequal: No Solution
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Moving to Node #0,3,0
Current State: 43:[69, 3], Operations: ['90-40=50', '53-50=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,43 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,43 unequal: No Solution
Moving to Node #0,3,3
Current State: 43:[50, 122], Operations: ['90-40=50', '69+53=122']
Exploring Operation: 50*122=6100, Resulting Numbers: [6100]
6100,43 unequal: No Solution
Exploring Operation: 50+122=172, Resulting Numbers: [172]
172,43 unequal: No Solution
Exploring Operation: 122-50=72, Resulting Numbers: [72]
72,43 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
68,
58,
55,
25
] | 96 |
[
"68+58=126",
"55-25=30",
"126-30=96"
] |
Current State: 96:[68, 58, 55, 25], Operations: []
Exploring Operation: 68+58=126, Resulting Numbers: [55, 25, 126]
Generated Node #2: [55, 25, 126] from Operation: 68+58=126
Current State: 96:[55, 25, 126], Operations: ['68+58=126']
Exploring Operation: 55-25=30, Resulting Numbers: [126, 30]
Generated Node #3: [126, 30] from Operation: 55-25=30
Current State: 96:[126, 30], Operations: ['68+58=126', '55-25=30']
Exploring Operation: 126-30=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[68, 58, 55, 25], Operations: []
Exploring Operation: 68-25=43, Resulting Numbers: [58, 55, 43]
Generated Node #0,0: 96:[58, 55, 43] Operation: 68-25=43
Exploring Operation: 68-58=10, Resulting Numbers: [55, 25, 10]
Generated Node #0,1: 96:[55, 25, 10] Operation: 68-58=10
Exploring Operation: 68+25=93, Resulting Numbers: [58, 55, 93]
Generated Node #0,2: 96:[58, 55, 93] Operation: 68+25=93
Exploring Operation: 58-55=3, Resulting Numbers: [68, 25, 3]
Generated Node #0,3: 96:[68, 25, 3] Operation: 58-55=3
Exploring Operation: 68-55=13, Resulting Numbers: [58, 25, 13]
Generated Node #0,4: 96:[58, 25, 13] Operation: 68-55=13
Moving to Node #0,1
Current State: 96:[55, 25, 10], Operations: ['68-58=10']
Exploring Operation: 25+10=35, Resulting Numbers: [55, 35]
Generated Node #0,1,0: 96:[55, 35] Operation: 25+10=35
Exploring Operation: 55+25=80, Resulting Numbers: [10, 80]
Generated Node #0,1,1: 96:[10, 80] Operation: 55+25=80
Exploring Operation: 25-10=15, Resulting Numbers: [55, 15]
Generated Node #0,1,2: 96:[55, 15] Operation: 25-10=15
Exploring Operation: 55-25=30, Resulting Numbers: [10, 30]
Generated Node #0,1,3: 96:[10, 30] Operation: 55-25=30
Exploring Operation: 55-10=45, Resulting Numbers: [25, 45]
Generated Node #0,1,4: 96:[25, 45] Operation: 55-10=45
Moving to Node #0,4
Current State: 96:[58, 25, 13], Operations: ['68-55=13']
Exploring Operation: 58+25=83, Resulting Numbers: [13, 83]
Generated Node #0,4,0: 96:[13, 83] Operation: 58+25=83
Exploring Operation: 25-13=12, Resulting Numbers: [58, 12]
Generated Node #0,4,1: 96:[58, 12] Operation: 25-13=12
Exploring Operation: 58-25=33, Resulting Numbers: [13, 33]
Generated Node #0,4,2: 96:[13, 33] Operation: 58-25=33
Exploring Operation: 25+13=38, Resulting Numbers: [58, 38]
Generated Node #0,4,3: 96:[58, 38] Operation: 25+13=38
Exploring Operation: 58-13=45, Resulting Numbers: [25, 45]
Generated Node #0,4,4: 96:[25, 45] Operation: 58-13=45
Moving to Node #0,2
Current State: 96:[58, 55, 93], Operations: ['68+25=93']
Exploring Operation: 93-58=35, Resulting Numbers: [55, 35]
Generated Node #0,2,0: 96:[55, 35] Operation: 93-58=35
Exploring Operation: 58+93=151, Resulting Numbers: [55, 151]
Generated Node #0,2,1: 96:[55, 151] Operation: 58+93=151
Exploring Operation: 93-55=38, Resulting Numbers: [58, 38]
Generated Node #0,2,2: 96:[58, 38] Operation: 93-55=38
Exploring Operation: 58+55=113, Resulting Numbers: [93, 113]
Generated Node #0,2,3: 96:[93, 113] Operation: 58+55=113
Exploring Operation: 58-55=3, Resulting Numbers: [93, 3]
Generated Node #0,2,4: 96:[93, 3] Operation: 58-55=3
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 96:[93, 3], Operations: ['68+25=93', '58-55=3']
Exploring Operation: 93*3=279, Resulting Numbers: [279]
279,96 unequal: No Solution
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[68, 58, 55, 25], Operations: []
Exploring Operation: 68+25=93, Resulting Numbers: [58, 55, 93]
Generated Node #0,2: 96:[58, 55, 93] Operation: 68+25=93
Moving to Node #0,2
Current State: 96:[58, 55, 93], Operations: ['68+25=93']
Exploring Operation: 58-55=3, Resulting Numbers: [93, 3]
Generated Node #0,2,4: 96:[93, 3] Operation: 58-55=3
Moving to Node #0,2,4
Current State: 96:[93, 3], Operations: ['68+25=93', '58-55=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 |
hs_5
|
mult_heuristic
|
[
64,
40,
74,
25
] | 25 |
[
"64-40=24",
"74-25=49",
"49-24=25"
] |
Current State: 25:[64, 40, 74, 25], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [74, 25, 24]
Generated Node #2: [74, 25, 24] from Operation: 64-40=24
Current State: 25:[74, 25, 24], Operations: ['64-40=24']
Exploring Operation: 74-25=49, Resulting Numbers: [24, 49]
Generated Node #3: [24, 49] from Operation: 74-25=49
Current State: 25:[24, 49], Operations: ['64-40=24', '74-25=49']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[64, 40, 74, 25], Operations: []
Exploring Operation: 64-25=39, Resulting Numbers: [40, 74, 39]
Generated Node #0,0: 25:[40, 74, 39] Operation: 64-25=39
Exploring Operation: 74-64=10, Resulting Numbers: [40, 25, 10]
Generated Node #0,1: 25:[40, 25, 10] Operation: 74-64=10
Exploring Operation: 74-40=34, Resulting Numbers: [64, 25, 34]
Generated Node #0,2: 25:[64, 25, 34] Operation: 74-40=34
Exploring Operation: 64-40=24, Resulting Numbers: [74, 25, 24]
Generated Node #0,3: 25:[74, 25, 24] Operation: 64-40=24
Moving to Node #0,1
Current State: 25:[40, 25, 10], Operations: ['74-64=10']
Exploring Operation: 40+10=50, Resulting Numbers: [25, 50]
Generated Node #0,1,0: 25:[25, 50] Operation: 40+10=50
Exploring Operation: 40-25=15, Resulting Numbers: [10, 15]
Generated Node #0,1,1: 25:[10, 15] Operation: 40-25=15
Exploring Operation: 40/10=4, Resulting Numbers: [25, 4]
Generated Node #0,1,2: 25:[25, 4] Operation: 40/10=4
Exploring Operation: 40-10=30, Resulting Numbers: [25, 30]
Generated Node #0,1,3: 25:[25, 30] Operation: 40-10=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[25, 4], Operations: ['74-64=10', '40/10=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,25 unequal: No Solution
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[25, 30], Operations: ['74-64=10', '40-10=30']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 25*30=750, Resulting Numbers: [750]
750,25 unequal: No Solution
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[10, 15], Operations: ['74-64=10', '40-25=15']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[64, 40, 74, 25], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [40, 25, 10]
Generated Node #0,1: 25:[40, 25, 10] Operation: 74-64=10
Moving to Node #0,1
Current State: 25:[40, 25, 10], Operations: ['74-64=10']
Exploring Operation: 40-25=15, Resulting Numbers: [10, 15]
Generated Node #0,1,1: 25:[10, 15] Operation: 40-25=15
Moving to Node #0,1,1
Current State: 25:[10, 15], Operations: ['74-64=10', '40-25=15']
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 |
hs_4
|
mult_heuristic
|
[
26,
8,
24,
78
] | 96 |
[
"78/26=3",
"8+24=32",
"3*32=96"
] |
Current State: 96:[26, 8, 24, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [8, 24, 3]
Generated Node #2: [8, 24, 3] from Operation: 78/26=3
Current State: 96:[8, 24, 3], Operations: ['78/26=3']
Exploring Operation: 8+24=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 8+24=32
Current State: 96:[3, 32], Operations: ['78/26=3', '8+24=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[26, 8, 24, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [8, 24, 3]
Generated Node #0,0: 96:[8, 24, 3] Operation: 78/26=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[8, 24, 3], Operations: ['78/26=3']
Exploring Operation: 8+24=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 96:[3, 32] Operation: 8+24=32
Moving to Node #0,0,0
Current State: 96:[3, 32], Operations: ['78/26=3', '8+24=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[26, 8, 24, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [8, 24, 3]
Generated Node #0,0: 96:[8, 24, 3] Operation: 78/26=3
Moving to Node #0,0
Current State: 96:[8, 24, 3], Operations: ['78/26=3']
Exploring Operation: 8+24=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 96:[3, 32] Operation: 8+24=32
Moving to Node #0,0,0
Current State: 96:[3, 32], Operations: ['78/26=3', '8+24=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
19,
97,
6,
22
] | 23 |
[
"19+97=116",
"22+116=138",
"138/6=23"
] |
Current State: 23:[19, 97, 6, 22], Operations: []
Exploring Operation: 19+97=116, Resulting Numbers: [6, 22, 116]
Generated Node #2: [6, 22, 116] from Operation: 19+97=116
Current State: 23:[6, 22, 116], Operations: ['19+97=116']
Exploring Operation: 22+116=138, Resulting Numbers: [6, 138]
Generated Node #3: [6, 138] from Operation: 22+116=138
Current State: 23:[6, 138], Operations: ['19+97=116', '22+116=138']
Exploring Operation: 138/6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[19, 97, 6, 22], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [19, 22, 91]
Generated Node #0,0: 23:[19, 22, 91] Operation: 97-6=91
Exploring Operation: 97-22=75, Resulting Numbers: [19, 6, 75]
Generated Node #0,1: 23:[19, 6, 75] Operation: 97-22=75
Exploring Operation: 97-19=78, Resulting Numbers: [6, 22, 78]
Generated Node #0,2: 23:[6, 22, 78] Operation: 97-19=78
Moving to Node #0,0
Current State: 23:[19, 22, 91], Operations: ['97-6=91']
Exploring Operation: 91-22=69, Resulting Numbers: [19, 69]
Generated Node #0,0,0: 23:[19, 69] Operation: 91-22=69
Exploring Operation: 91-19=72, Resulting Numbers: [22, 72]
Generated Node #0,0,1: 23:[22, 72] Operation: 91-19=72
Exploring Operation: 19+22=41, Resulting Numbers: [91, 41]
Generated Node #0,0,2: 23:[91, 41] Operation: 19+22=41
Moving to Node #0,1
Current State: 23:[19, 6, 75], Operations: ['97-22=75']
Exploring Operation: 75-6=69, Resulting Numbers: [19, 69]
Generated Node #0,1,0: 23:[19, 69] Operation: 75-6=69
Exploring Operation: 19+6=25, Resulting Numbers: [75, 25]
Generated Node #0,1,1: 23:[75, 25] Operation: 19+6=25
Exploring Operation: 75-19=56, Resulting Numbers: [6, 56]
Generated Node #0,1,2: 23:[6, 56] Operation: 75-19=56
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[19, 69], Operations: ['97-22=75', '75-6=69']
Exploring Operation: 19*69=1311, Resulting Numbers: [1311]
1311,23 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 19+69=88, Resulting Numbers: [88]
88,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[6, 56], Operations: ['97-22=75', '75-19=56']
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,23 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[75, 25], Operations: ['97-22=75', '19+6=25']
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 23:[6, 22, 78], Operations: ['97-19=78']
Exploring Operation: 78-22=56, Resulting Numbers: [6, 56]
Generated Node #0,2,0: 23:[6, 56] Operation: 78-22=56
Exploring Operation: 78-6=72, Resulting Numbers: [22, 72]
Generated Node #0,2,1: 23:[22, 72] Operation: 78-6=72
Exploring Operation: 78/6=13, Resulting Numbers: [22, 13]
Generated Node #0,2,2: 23:[22, 13] Operation: 78/6=13
Moving to Node #0,2,2
Current State: 23:[22, 13], Operations: ['97-19=78', '78/6=13']
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,23 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[22, 72], Operations: ['97-19=78', '78-6=72']
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,23 unequal: No Solution
Exploring Operation: 22*72=1584, Resulting Numbers: [1584]
1584,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[19, 69], Operations: ['97-6=91', '91-22=69']
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 19*69=1311, Resulting Numbers: [1311]
1311,23 unequal: No Solution
Exploring Operation: 19+69=88, Resulting Numbers: [88]
88,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[22, 72], Operations: ['97-6=91', '91-19=72']
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 22*72=1584, Resulting Numbers: [1584]
1584,23 unequal: No Solution
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[6, 56], Operations: ['97-19=78', '78-22=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,23 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[91, 41], Operations: ['97-6=91', '19+22=41']
Exploring Operation: 91+41=132, Resulting Numbers: [132]
132,23 unequal: No Solution
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,23 unequal: No Solution
Exploring Operation: 91*41=3731, Resulting Numbers: [3731]
3731,23 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
31,
88,
12,
15
] | 79 |
[
"88*15=1320",
"1320/12=110",
"110-31=79"
] |
Current State: 79:[31, 88, 12, 15], Operations: []
Exploring Operation: 88*15=1320, Resulting Numbers: [31, 12, 1320]
Generated Node #2: [31, 12, 1320] from Operation: 88*15=1320
Current State: 79:[31, 12, 1320], Operations: ['88*15=1320']
Exploring Operation: 1320/12=110, Resulting Numbers: [31, 110]
Generated Node #3: [31, 110] from Operation: 1320/12=110
Current State: 79:[31, 110], Operations: ['88*15=1320', '1320/12=110']
Exploring Operation: 110-31=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[31, 88, 12, 15], Operations: []
Exploring Operation: 31+15=46, Resulting Numbers: [88, 12, 46]
Generated Node #0,0: 79:[88, 12, 46] Operation: 31+15=46
Exploring Operation: 88-15=73, Resulting Numbers: [31, 12, 73]
Generated Node #0,1: 79:[31, 12, 73] Operation: 88-15=73
Exploring Operation: 12+15=27, Resulting Numbers: [31, 88, 27]
Generated Node #0,2: 79:[31, 88, 27] Operation: 12+15=27
Exploring Operation: 88-12=76, Resulting Numbers: [31, 15, 76]
Generated Node #0,3: 79:[31, 15, 76] Operation: 88-12=76
Exploring Operation: 31+12=43, Resulting Numbers: [88, 15, 43]
Generated Node #0,4: 79:[88, 15, 43] Operation: 31+12=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[88, 12, 46], Operations: ['31+15=46']
Exploring Operation: 88-12=76, Resulting Numbers: [46, 76]
Generated Node #0,0,0: 79:[46, 76] Operation: 88-12=76
Exploring Operation: 88-46=42, Resulting Numbers: [12, 42]
Generated Node #0,0,1: 79:[12, 42] Operation: 88-46=42
Exploring Operation: 12+46=58, Resulting Numbers: [88, 58]
Generated Node #0,0,2: 79:[88, 58] Operation: 12+46=58
Exploring Operation: 46-12=34, Resulting Numbers: [88, 34]
Generated Node #0,0,3: 79:[88, 34] Operation: 46-12=34
Exploring Operation: 88+12=100, Resulting Numbers: [46, 100]
Generated Node #0,0,4: 79:[46, 100] Operation: 88+12=100
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[88, 58], Operations: ['31+15=46', '12+46=58']
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 88*58=5104, Resulting Numbers: [5104]
5104,79 unequal: No Solution
Exploring Operation: 88+58=146, Resulting Numbers: [146]
146,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[46, 76], Operations: ['31+15=46', '88-12=76']
Exploring Operation: 46+76=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 46*76=3496, Resulting Numbers: [3496]
3496,79 unequal: No Solution
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 79:[88, 34], Operations: ['31+15=46', '46-12=34']
Exploring Operation: 88*34=2992, Resulting Numbers: [2992]
2992,79 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 88+34=122, Resulting Numbers: [122]
122,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 79:[46, 100], Operations: ['31+15=46', '88+12=100']
Exploring Operation: 46*100=4600, Resulting Numbers: [4600]
4600,79 unequal: No Solution
Exploring Operation: 100-46=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 46+100=146, Resulting Numbers: [146]
146,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[12, 42], Operations: ['31+15=46', '88-46=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[31, 88, 27], Operations: ['12+15=27']
Exploring Operation: 88-27=61, Resulting Numbers: [31, 61]
Generated Node #0,2,0: 79:[31, 61] Operation: 88-27=61
Exploring Operation: 31-27=4, Resulting Numbers: [88, 4]
Generated Node #0,2,1: 79:[88, 4] Operation: 31-27=4
Exploring Operation: 88-31=57, Resulting Numbers: [27, 57]
Generated Node #0,2,2: 79:[27, 57] Operation: 88-31=57
Exploring Operation: 31+27=58, Resulting Numbers: [88, 58]
Generated Node #0,2,3: 79:[88, 58] Operation: 31+27=58
Exploring Operation: 88+27=115, Resulting Numbers: [31, 115]
Generated Node #0,2,4: 79:[31, 115] Operation: 88+27=115
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 79:[88, 58], Operations: ['12+15=27', '31+27=58']
Exploring Operation: 88+58=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 88*58=5104, Resulting Numbers: [5104]
5104,79 unequal: No Solution
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 79:[31, 61], Operations: ['12+15=27', '88-27=61']
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 31*61=1891, Resulting Numbers: [1891]
1891,79 unequal: No Solution
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 79:[27, 57], Operations: ['12+15=27', '88-31=57']
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,79 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[88, 4], Operations: ['12+15=27', '31-27=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,79 unequal: No Solution
Exploring Operation: 88*4=352, Resulting Numbers: [352]
352,79 unequal: No Solution
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 79:[31, 115], Operations: ['12+15=27', '88+27=115']
Exploring Operation: 31+115=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 115-31=84, Resulting Numbers: [84]
84,79 unequal: No Solution
Exploring Operation: 31*115=3565, Resulting Numbers: [3565]
3565,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[88, 15, 43], Operations: ['31+12=43']
Exploring Operation: 88+15=103, Resulting Numbers: [43, 103]
Generated Node #0,4,0: 79:[43, 103] Operation: 88+15=103
Exploring Operation: 15+43=58, Resulting Numbers: [88, 58]
Generated Node #0,4,1: 79:[88, 58] Operation: 15+43=58
Exploring Operation: 88-15=73, Resulting Numbers: [43, 73]
Generated Node #0,4,2: 79:[43, 73] Operation: 88-15=73
Exploring Operation: 88-43=45, Resulting Numbers: [15, 45]
Generated Node #0,4,3: 79:[15, 45] Operation: 88-43=45
Exploring Operation: 43-15=28, Resulting Numbers: [88, 28]
Generated Node #0,4,4: 79:[88, 28] Operation: 43-15=28
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 79:[88, 58], Operations: ['31+12=43', '15+43=58']
Exploring Operation: 88*58=5104, Resulting Numbers: [5104]
5104,79 unequal: No Solution
Exploring Operation: 88+58=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 79:[43, 73], Operations: ['31+12=43', '88-15=73']
Exploring Operation: 43*73=3139, Resulting Numbers: [3139]
3139,79 unequal: No Solution
Exploring Operation: 43+73=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 79:[43, 103], Operations: ['31+12=43', '88+15=103']
Exploring Operation: 43*103=4429, Resulting Numbers: [4429]
4429,79 unequal: No Solution
Exploring Operation: 43+103=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 103-43=60, Resulting Numbers: [60]
60,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 79:[88, 28], Operations: ['31+12=43', '43-15=28']
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 88+28=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 88*28=2464, Resulting Numbers: [2464]
2464,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 79:[15, 45], Operations: ['31+12=43', '88-43=45']
Exploring Operation: 15*45=675, Resulting Numbers: [675]
675,79 unequal: No Solution
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 15+45=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[31, 15, 76], Operations: ['88-12=76']
Exploring Operation: 76-15=61, Resulting Numbers: [31, 61]
Generated Node #0,3,0: 79:[31, 61] Operation: 76-15=61
Exploring Operation: 31+76=107, Resulting Numbers: [15, 107]
Generated Node #0,3,1: 79:[15, 107] Operation: 31+76=107
Exploring Operation: 31-15=16, Resulting Numbers: [76, 16]
Generated Node #0,3,2: 79:[76, 16] Operation: 31-15=16
Exploring Operation: 31+15=46, Resulting Numbers: [76, 46]
Generated Node #0,3,3: 79:[76, 46] Operation: 31+15=46
Exploring Operation: 15+76=91, Resulting Numbers: [31, 91]
Generated Node #0,3,4: 79:[31, 91] Operation: 15+76=91
Moving to Node #0,3,3
Current State: 79:[76, 46], Operations: ['88-12=76', '31+15=46']
Exploring Operation: 76+46=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 76*46=3496, Resulting Numbers: [3496]
3496,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[31, 91], Operations: ['88-12=76', '15+76=91']
Exploring Operation: 31*91=2821, Resulting Numbers: [2821]
2821,79 unequal: No Solution
Exploring Operation: 31+91=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[31, 61], Operations: ['88-12=76', '76-15=61']
Exploring Operation: 31*61=1891, Resulting Numbers: [1891]
1891,79 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[76, 16], Operations: ['88-12=76', '31-15=16']
Exploring Operation: 76+16=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 76*16=1216, Resulting Numbers: [1216]
1216,79 unequal: No Solution
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[15, 107], Operations: ['88-12=76', '31+76=107']
Exploring Operation: 15+107=122, Resulting Numbers: [122]
122,79 unequal: No Solution
Exploring Operation: 15*107=1605, Resulting Numbers: [1605]
1605,79 unequal: No Solution
Exploring Operation: 107-15=92, Resulting Numbers: [92]
92,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[31, 12, 73], Operations: ['88-15=73']
Exploring Operation: 12+73=85, Resulting Numbers: [31, 85]
Generated Node #0,1,0: 79:[31, 85] Operation: 12+73=85
Exploring Operation: 73-12=61, Resulting Numbers: [31, 61]
Generated Node #0,1,1: 79:[31, 61] Operation: 73-12=61
Exploring Operation: 31-12=19, Resulting Numbers: [73, 19]
Generated Node #0,1,2: 79:[73, 19] Operation: 31-12=19
Exploring Operation: 31+12=43, Resulting Numbers: [73, 43]
Generated Node #0,1,3: 79:[73, 43] Operation: 31+12=43
Exploring Operation: 31+73=104, Resulting Numbers: [12, 104]
Generated Node #0,1,4: 79:[12, 104] Operation: 31+73=104
Moving to Node #0,1,3
Current State: 79:[73, 43], Operations: ['88-15=73', '31+12=43']
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[31, 85], Operations: ['88-15=73', '12+73=85']
Exploring Operation: 31+85=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 31*85=2635, Resulting Numbers: [2635]
2635,79 unequal: No Solution
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[31, 61], Operations: ['88-15=73', '73-12=61']
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 31*61=1891, Resulting Numbers: [1891]
1891,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[73, 19], Operations: ['88-15=73', '31-12=19']
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,79 unequal: No Solution
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[12, 104], Operations: ['88-15=73', '31+73=104']
Exploring Operation: 12+104=116, Resulting Numbers: [116]
116,79 unequal: No Solution
Exploring Operation: 104-12=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 12*104=1248, Resulting Numbers: [1248]
1248,79 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
|
[
93,
16,
27,
11
] | 71 |
[
"93+16=109",
"27+11=38",
"109-38=71"
] |
Current State: 71:[93, 16, 27, 11], Operations: []
Exploring Operation: 93+16=109, Resulting Numbers: [27, 11, 109]
Generated Node #2: [27, 11, 109] from Operation: 93+16=109
Current State: 71:[27, 11, 109], Operations: ['93+16=109']
Exploring Operation: 27+11=38, Resulting Numbers: [109, 38]
Generated Node #3: [109, 38] from Operation: 27+11=38
Current State: 71:[109, 38], Operations: ['93+16=109', '27+11=38']
Exploring Operation: 109-38=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[93, 16, 27, 11], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [16, 27, 82]
Generated Node #0,0: 71:[16, 27, 82] Operation: 93-11=82
Exploring Operation: 16+27=43, Resulting Numbers: [93, 11, 43]
Generated Node #0,1: 71:[93, 11, 43] Operation: 16+27=43
Exploring Operation: 93-16=77, Resulting Numbers: [27, 11, 77]
Generated Node #0,2: 71:[27, 11, 77] Operation: 93-16=77
Exploring Operation: 16+11=27, Resulting Numbers: [93, 27, 27]
Generated Node #0,3: 71:[93, 27, 27] Operation: 16+11=27
Moving to Node #0,0
Current State: 71:[16, 27, 82], Operations: ['93-11=82']
Exploring Operation: 82-16=66, Resulting Numbers: [27, 66]
Generated Node #0,0,0: 71:[27, 66] Operation: 82-16=66
Exploring Operation: 16+82=98, Resulting Numbers: [27, 98]
Generated Node #0,0,1: 71:[27, 98] Operation: 16+82=98
Exploring Operation: 27-16=11, Resulting Numbers: [82, 11]
Generated Node #0,0,2: 71:[82, 11] Operation: 27-16=11
Exploring Operation: 16+27=43, Resulting Numbers: [82, 43]
Generated Node #0,0,3: 71:[82, 43] Operation: 16+27=43
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 71:[82, 43], Operations: ['93-11=82', '16+27=43']
Exploring Operation: 82+43=125, Resulting Numbers: [125]
125,71 unequal: No Solution
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 82*43=3526, Resulting Numbers: [3526]
3526,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[27, 66], Operations: ['93-11=82', '82-16=66']
Exploring Operation: 27+66=93, Resulting Numbers: [93]
93,71 unequal: No Solution
Exploring Operation: 66-27=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 27*66=1782, Resulting Numbers: [1782]
1782,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[27, 98], Operations: ['93-11=82', '16+82=98']
Exploring Operation: 27*98=2646, Resulting Numbers: [2646]
2646,71 unequal: No Solution
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[93, 16, 27, 11], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [16, 27, 82]
Generated Node #0,0: 71:[16, 27, 82] Operation: 93-11=82
Moving to Node #0,0
Current State: 71:[16, 27, 82], Operations: ['93-11=82']
Exploring Operation: 16+82=98, Resulting Numbers: [27, 98]
Generated Node #0,0,1: 71:[27, 98] Operation: 16+82=98
Moving to Node #0,0,1
Current State: 71:[27, 98], Operations: ['93-11=82', '16+82=98']
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 |
hs_4
|
sum_heuristic
|
[
56,
2,
76,
6
] | 92 |
[
"56/2=28",
"6*28=168",
"168-76=92"
] |
Current State: 92:[56, 2, 76, 6], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [76, 6, 28]
Generated Node #2: [76, 6, 28] from Operation: 56/2=28
Current State: 92:[76, 6, 28], Operations: ['56/2=28']
Exploring Operation: 6*28=168, Resulting Numbers: [76, 168]
Generated Node #3: [76, 168] from Operation: 6*28=168
Current State: 92:[76, 168], Operations: ['56/2=28', '6*28=168']
Exploring Operation: 168-76=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[56, 2, 76, 6], Operations: []
Exploring Operation: 76-56=20, Resulting Numbers: [2, 6, 20]
Generated Node #0,0: 92:[2, 6, 20] Operation: 76-56=20
Exploring Operation: 56-6=50, Resulting Numbers: [2, 76, 50]
Generated Node #0,1: 92:[2, 76, 50] Operation: 56-6=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[2, 6, 20], Operations: ['76-56=20']
Exploring Operation: 6-2=4, Resulting Numbers: [20, 4]
Generated Node #0,0,0: 92:[20, 4] Operation: 6-2=4
Exploring Operation: 2+20=22, Resulting Numbers: [6, 22]
Generated Node #0,0,1: 92:[6, 22] Operation: 2+20=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[20, 4], Operations: ['76-56=20', '6-2=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[6, 22], Operations: ['76-56=20', '2+20=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,92 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:[2, 76, 50], Operations: ['56-6=50']
Exploring Operation: 76-50=26, Resulting Numbers: [2, 26]
Generated Node #0,1,0: 92:[2, 26] Operation: 76-50=26
Exploring Operation: 76/2=38, Resulting Numbers: [50, 38]
Generated Node #0,1,1: 92:[50, 38] Operation: 76/2=38
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[2, 26], Operations: ['56-6=50', '76-50=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[50, 38], Operations: ['56-6=50', '76/2=38']
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
43,
22,
27,
26
] | 85 |
[
"43-26=17",
"27-22=5",
"17*5=85"
] |
Current State: 85:[43, 22, 27, 26], Operations: []
Exploring Operation: 43-26=17, Resulting Numbers: [22, 27, 17]
Generated Node #2: [22, 27, 17] from Operation: 43-26=17
Current State: 85:[22, 27, 17], Operations: ['43-26=17']
Exploring Operation: 27-22=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 27-22=5
Current State: 85:[17, 5], Operations: ['43-26=17', '27-22=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[43, 22, 27, 26], Operations: []
Exploring Operation: 43-27=16, Resulting Numbers: [22, 26, 16]
Generated Node #0,0: 85:[22, 26, 16] Operation: 43-27=16
Moving to Node #0,0
Current State: 85:[22, 26, 16], Operations: ['43-27=16']
Exploring Operation: 26-22=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 85:[16, 4] Operation: 26-22=4
Moving to Node #0,0,0
Current State: 85:[16, 4], Operations: ['43-27=16', '26-22=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,85 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
81,
96,
70,
52
] | 83 |
[
"96-70=26",
"52/26=2",
"81+2=83"
] |
Current State: 83:[81, 96, 70, 52], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [81, 52, 26]
Generated Node #2: [81, 52, 26] from Operation: 96-70=26
Current State: 83:[81, 52, 26], Operations: ['96-70=26']
Exploring Operation: 52/26=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 52/26=2
Current State: 83:[81, 2], Operations: ['96-70=26', '52/26=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[81, 96, 70, 52], Operations: []
Exploring Operation: 81+52=133, Resulting Numbers: [96, 70, 133]
Generated Node #0,0: 83:[96, 70, 133] Operation: 81+52=133
Exploring Operation: 70+52=122, Resulting Numbers: [81, 96, 122]
Generated Node #0,1: 83:[81, 96, 122] Operation: 70+52=122
Exploring Operation: 81-52=29, Resulting Numbers: [96, 70, 29]
Generated Node #0,2: 83:[96, 70, 29] Operation: 81-52=29
Exploring Operation: 96-52=44, Resulting Numbers: [81, 70, 44]
Generated Node #0,3: 83:[81, 70, 44] Operation: 96-52=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[81, 96, 122], Operations: ['70+52=122']
Exploring Operation: 122-81=41, Resulting Numbers: [96, 41]
Generated Node #0,1,0: 83:[96, 41] Operation: 122-81=41
Exploring Operation: 81+96=177, Resulting Numbers: [122, 177]
Generated Node #0,1,1: 83:[122, 177] Operation: 81+96=177
Exploring Operation: 122-96=26, Resulting Numbers: [81, 26]
Generated Node #0,1,2: 83:[81, 26] Operation: 122-96=26
Exploring Operation: 96-81=15, Resulting Numbers: [122, 15]
Generated Node #0,1,3: 83:[122, 15] Operation: 96-81=15
Moving to Node #0,1,0
Current State: 83:[96, 41], Operations: ['70+52=122', '122-81=41']
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 96*41=3936, Resulting Numbers: [3936]
3936,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[81, 26], Operations: ['70+52=122', '122-96=26']
Exploring Operation: 81-26=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 81*26=2106, Resulting Numbers: [2106]
2106,83 unequal: No Solution
Exploring Operation: 81+26=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[122, 15], Operations: ['70+52=122', '96-81=15']
Exploring Operation: 122-15=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 122+15=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 122*15=1830, Resulting Numbers: [1830]
1830,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[122, 177], Operations: ['70+52=122', '81+96=177']
Exploring Operation: 122*177=21594, Resulting Numbers: [21594]
21594,83 unequal: No Solution
Exploring Operation: 177-122=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 122+177=299, Resulting Numbers: [299]
299,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[81, 70, 44], Operations: ['96-52=44']
Exploring Operation: 70-44=26, Resulting Numbers: [81, 26]
Generated Node #0,3,0: 83:[81, 26] Operation: 70-44=26
Exploring Operation: 81-44=37, Resulting Numbers: [70, 37]
Generated Node #0,3,1: 83:[70, 37] Operation: 81-44=37
Exploring Operation: 70+44=114, Resulting Numbers: [81, 114]
Generated Node #0,3,2: 83:[81, 114] Operation: 70+44=114
Exploring Operation: 81+44=125, Resulting Numbers: [70, 125]
Generated Node #0,3,3: 83:[70, 125] Operation: 81+44=125
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[81, 114], Operations: ['96-52=44', '70+44=114']
Exploring Operation: 81*114=9234, Resulting Numbers: [9234]
9234,83 unequal: No Solution
Exploring Operation: 114-81=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 81+114=195, Resulting Numbers: [195]
195,83 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 #0,3,3
Current State: 83:[70, 125], Operations: ['96-52=44', '81+44=125']
Exploring Operation: 125-70=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 70+125=195, Resulting Numbers: [195]
195,83 unequal: No Solution
Exploring Operation: 70*125=8750, Resulting Numbers: [8750]
8750,83 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 #0,3,0
Current State: 83:[81, 26], Operations: ['96-52=44', '70-44=26']
Exploring Operation: 81-26=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 81+26=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 81*26=2106, Resulting Numbers: [2106]
2106,83 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 #0,3,1
Current State: 83:[70, 37], Operations: ['96-52=44', '81-44=37']
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 70*37=2590, Resulting Numbers: [2590]
2590,83 unequal: No Solution
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,83 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 #0,0
Current State: 83:[96, 70, 133], Operations: ['81+52=133']
Exploring Operation: 96+70=166, Resulting Numbers: [133, 166]
Generated Node #0,0,0: 83:[133, 166] Operation: 96+70=166
Exploring Operation: 133-70=63, Resulting Numbers: [96, 63]
Generated Node #0,0,1: 83:[96, 63] Operation: 133-70=63
Exploring Operation: 96-70=26, Resulting Numbers: [133, 26]
Generated Node #0,0,2: 83:[133, 26] Operation: 96-70=26
Exploring Operation: 133-96=37, Resulting Numbers: [70, 37]
Generated Node #0,0,3: 83:[70, 37] Operation: 133-96=37
Moving to Node #0,0,1
Current State: 83:[96, 63], Operations: ['81+52=133', '133-70=63']
Exploring Operation: 96*63=6048, Resulting Numbers: [6048]
6048,83 unequal: No Solution
Exploring Operation: 96+63=159, Resulting Numbers: [159]
159,83 unequal: No Solution
Exploring Operation: 96-63=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[70, 37], Operations: ['81+52=133', '133-96=37']
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 70*37=2590, Resulting Numbers: [2590]
2590,83 unequal: No Solution
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[133, 26], Operations: ['81+52=133', '96-70=26']
Exploring Operation: 133+26=159, Resulting Numbers: [159]
159,83 unequal: No Solution
Exploring Operation: 133*26=3458, Resulting Numbers: [3458]
3458,83 unequal: No Solution
Exploring Operation: 133-26=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[133, 166], Operations: ['81+52=133', '96+70=166']
Exploring Operation: 133+166=299, Resulting Numbers: [299]
299,83 unequal: No Solution
Exploring Operation: 133*166=22078, Resulting Numbers: [22078]
22078,83 unequal: No Solution
Exploring Operation: 166-133=33, Resulting Numbers: [33]
33,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[96, 70, 29], Operations: ['81-52=29']
Exploring Operation: 70+29=99, Resulting Numbers: [96, 99]
Generated Node #0,2,0: 83:[96, 99] Operation: 70+29=99
Exploring Operation: 96+29=125, Resulting Numbers: [70, 125]
Generated Node #0,2,1: 83:[70, 125] Operation: 96+29=125
Exploring Operation: 70-29=41, Resulting Numbers: [96, 41]
Generated Node #0,2,2: 83:[96, 41] Operation: 70-29=41
Exploring Operation: 96-29=67, Resulting Numbers: [70, 67]
Generated Node #0,2,3: 83:[70, 67] Operation: 96-29=67
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[96, 99], Operations: ['81-52=29', '70+29=99']
Exploring Operation: 96*99=9504, Resulting Numbers: [9504]
9504,83 unequal: No Solution
Exploring Operation: 99-96=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 96+99=195, Resulting Numbers: [195]
195,83 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 #0,2,3
Current State: 83:[70, 67], Operations: ['81-52=29', '96-29=67']
Exploring Operation: 70*67=4690, Resulting Numbers: [4690]
4690,83 unequal: No Solution
Exploring Operation: 70-67=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 70+67=137, Resulting Numbers: [137]
137,83 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 #0,2,1
Current State: 83:[70, 125], Operations: ['81-52=29', '96+29=125']
Exploring Operation: 70*125=8750, Resulting Numbers: [8750]
8750,83 unequal: No Solution
Exploring Operation: 125-70=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 70+125=195, Resulting Numbers: [195]
195,83 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 #0,2,2
Current State: 83:[96, 41], Operations: ['81-52=29', '70-29=41']
Exploring Operation: 96+41=137, Resulting Numbers: [137]
137,83 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 96*41=3936, Resulting Numbers: [3936]
3936,83 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_4
|
sum_heuristic
|
[
25,
38,
89,
8
] | 46 |
[
"89-25=64",
"64/8=8",
"38+8=46"
] |
Current State: 46:[25, 38, 89, 8], Operations: []
Exploring Operation: 89-25=64, Resulting Numbers: [38, 8, 64]
Generated Node #2: [38, 8, 64] from Operation: 89-25=64
Current State: 46:[38, 8, 64], Operations: ['89-25=64']
Exploring Operation: 64/8=8, Resulting Numbers: [38, 8]
Generated Node #3: [38, 8] from Operation: 64/8=8
Current State: 46:[38, 8], Operations: ['89-25=64', '64/8=8']
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[25, 38, 89, 8], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [25, 8, 51]
Generated Node #0,0: 46:[25, 8, 51] Operation: 89-38=51
Moving to Node #0,0
Current State: 46:[25, 8, 51], Operations: ['89-38=51']
Exploring Operation: 51-8=43, Resulting Numbers: [25, 43]
Generated Node #0,0,0: 46:[25, 43] Operation: 51-8=43
Moving to Node #0,0,0
Current State: 46:[25, 43], Operations: ['89-38=51', '51-8=43']
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,46 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
21,
60,
58,
24
] | 62 |
[
"60+24=84",
"84/21=4",
"58+4=62"
] |
Current State: 62:[21, 60, 58, 24], Operations: []
Exploring Operation: 60+24=84, Resulting Numbers: [21, 58, 84]
Generated Node #2: [21, 58, 84] from Operation: 60+24=84
Current State: 62:[21, 58, 84], Operations: ['60+24=84']
Exploring Operation: 84/21=4, Resulting Numbers: [58, 4]
Generated Node #3: [58, 4] from Operation: 84/21=4
Current State: 62:[58, 4], Operations: ['60+24=84', '84/21=4']
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[21, 60, 58, 24], Operations: []
Exploring Operation: 58-21=37, Resulting Numbers: [60, 24, 37]
Generated Node #0,0: 62:[60, 24, 37] Operation: 58-21=37
Exploring Operation: 58-24=34, Resulting Numbers: [21, 60, 34]
Generated Node #0,1: 62:[21, 60, 34] Operation: 58-24=34
Exploring Operation: 60-58=2, Resulting Numbers: [21, 24, 2]
Generated Node #0,2: 62:[21, 24, 2] Operation: 60-58=2
Exploring Operation: 24-21=3, Resulting Numbers: [60, 58, 3]
Generated Node #0,3: 62:[60, 58, 3] Operation: 24-21=3
Moving to Node #0,3
Current State: 62:[60, 58, 3], Operations: ['24-21=3']
Exploring Operation: 60+3=63, Resulting Numbers: [58, 63]
Generated Node #0,3,0: 62:[58, 63] Operation: 60+3=63
Exploring Operation: 60-58=2, Resulting Numbers: [3, 2]
Generated Node #0,3,1: 62:[3, 2] Operation: 60-58=2
Exploring Operation: 58+3=61, Resulting Numbers: [60, 61]
Generated Node #0,3,2: 62:[60, 61] Operation: 58+3=61
Exploring Operation: 60-3=57, Resulting Numbers: [58, 57]
Generated Node #0,3,3: 62:[58, 57] Operation: 60-3=57
Moving to Node #0,1
Current State: 62:[21, 60, 34], Operations: ['58-24=34']
Exploring Operation: 34-21=13, Resulting Numbers: [60, 13]
Generated Node #0,1,0: 62:[60, 13] Operation: 34-21=13
Exploring Operation: 60-21=39, Resulting Numbers: [34, 39]
Generated Node #0,1,1: 62:[34, 39] Operation: 60-21=39
Exploring Operation: 60-34=26, Resulting Numbers: [21, 26]
Generated Node #0,1,2: 62:[21, 26] Operation: 60-34=26
Exploring Operation: 21+34=55, Resulting Numbers: [60, 55]
Generated Node #0,1,3: 62:[60, 55] Operation: 21+34=55
Moving to Node #0,0
Current State: 62:[60, 24, 37], Operations: ['58-21=37']
Exploring Operation: 60-24=36, Resulting Numbers: [37, 36]
Generated Node #0,0,0: 62:[37, 36] Operation: 60-24=36
Exploring Operation: 60-37=23, Resulting Numbers: [24, 23]
Generated Node #0,0,1: 62:[24, 23] Operation: 60-37=23
Exploring Operation: 24+37=61, Resulting Numbers: [60, 61]
Generated Node #0,0,2: 62:[60, 61] Operation: 24+37=61
Exploring Operation: 37-24=13, Resulting Numbers: [60, 13]
Generated Node #0,0,3: 62:[60, 13] Operation: 37-24=13
Moving to Node #0,2
Current State: 62:[21, 24, 2], Operations: ['60-58=2']
Exploring Operation: 24-21=3, Resulting Numbers: [2, 3]
Generated Node #0,2,0: 62:[2, 3] Operation: 24-21=3
Exploring Operation: 21+2=23, Resulting Numbers: [24, 23]
Generated Node #0,2,1: 62:[24, 23] Operation: 21+2=23
Exploring Operation: 24+2=26, Resulting Numbers: [21, 26]
Generated Node #0,2,2: 62:[21, 26] Operation: 24+2=26
Exploring Operation: 21+24=45, Resulting Numbers: [2, 45]
Generated Node #0,2,3: 62:[2, 45] Operation: 21+24=45
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[2, 3], Operations: ['60-58=2', '24-21=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 62:[2, 45], Operations: ['60-58=2', '21+24=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,62 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,62 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, 23], Operations: ['60-58=2', '21+2=23']
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,62 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,62 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:[21, 26], Operations: ['60-58=2', '24+2=26']
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,62 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 62:[3, 2], Operations: ['24-21=3', '60-58=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[60, 61], Operations: ['24-21=3', '58+3=61']
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,62 unequal: No Solution
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 60*61=3660, Resulting Numbers: [3660]
3660,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[60, 61], Operations: ['58-21=37', '24+37=61']
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,62 unequal: No Solution
Exploring Operation: 60*61=3660, Resulting Numbers: [3660]
3660,62 unequal: No Solution
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Moving to Node #0,3,0
Current State: 62:[58, 63], Operations: ['24-21=3', '60+3=63']
Exploring Operation: 58*63=3654, Resulting Numbers: [3654]
3654,62 unequal: No Solution
Exploring Operation: 58+63=121, Resulting Numbers: [121]
121,62 unequal: No Solution
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Moving to Node #0,1,3
Current State: 62:[60, 55], Operations: ['58-24=34', '21+34=55']
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,62 unequal: No Solution
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[58, 57], Operations: ['24-21=3', '60-3=57']
Exploring Operation: 58*57=3306, Resulting Numbers: [3306]
3306,62 unequal: No Solution
Exploring Operation: 58+57=115, Resulting Numbers: [115]
115,62 unequal: No Solution
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[34, 39], Operations: ['58-24=34', '60-21=39']
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,62 unequal: No Solution
Exploring Operation: 34*39=1326, Resulting Numbers: [1326]
1326,62 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[37, 36], Operations: ['58-21=37', '60-24=36']
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,62 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,62 unequal: No Solution
Moving to Node #0,0,3
Current State: 62:[60, 13], Operations: ['58-21=37', '37-24=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,62 unequal: No Solution
Exploring Operation: 60*13=780, Resulting Numbers: [780]
780,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[60, 13], Operations: ['58-24=34', '34-21=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,62 unequal: No Solution
Exploring Operation: 60*13=780, Resulting Numbers: [780]
780,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[21, 26], Operations: ['58-24=34', '60-34=26']
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[24, 23], Operations: ['58-21=37', '60-37=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,62 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,62 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
44,
6,
3,
53
] | 81 |
[
"53-44=9",
"6+3=9",
"9*9=81"
] |
Current State: 81:[44, 6, 3, 53], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [6, 3, 9]
Generated Node #2: [6, 3, 9] from Operation: 53-44=9
Current State: 81:[6, 3, 9], Operations: ['53-44=9']
Exploring Operation: 6+3=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 6+3=9
Current State: 81:[9, 9], Operations: ['53-44=9', '6+3=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[44, 6, 3, 53], Operations: []
Exploring Operation: 44+53=97, Resulting Numbers: [6, 3, 97]
Generated Node #0,0: 81:[6, 3, 97] Operation: 44+53=97
Exploring Operation: 44-6=38, Resulting Numbers: [3, 53, 38]
Generated Node #0,1: 81:[3, 53, 38] Operation: 44-6=38
Exploring Operation: 53-6=47, Resulting Numbers: [44, 3, 47]
Generated Node #0,2: 81:[44, 3, 47] Operation: 53-6=47
Exploring Operation: 53-44=9, Resulting Numbers: [6, 3, 9]
Generated Node #0,3: 81:[6, 3, 9] Operation: 53-44=9
Moving to Node #0,3
Current State: 81:[6, 3, 9], Operations: ['53-44=9']
Exploring Operation: 6/3=2, Resulting Numbers: [9, 2]
Generated Node #0,3,0: 81:[9, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [9, 3]
Generated Node #0,3,1: 81:[9, 3] Operation: 6-3=3
Exploring Operation: 9-6=3, Resulting Numbers: [3, 3]
Generated Node #0,3,2: 81:[3, 3] Operation: 9-6=3
Exploring Operation: 6+3=9, Resulting Numbers: [9, 9]
Generated Node #0,3,3: 81:[9, 9] Operation: 6+3=9
Moving to Node #0,0
Current State: 81:[6, 3, 97], Operations: ['44+53=97']
Exploring Operation: 6-3=3, Resulting Numbers: [97, 3]
Generated Node #0,0,0: 81:[97, 3] Operation: 6-3=3
Exploring Operation: 97-6=91, Resulting Numbers: [3, 91]
Generated Node #0,0,1: 81:[3, 91] Operation: 97-6=91
Exploring Operation: 6+3=9, Resulting Numbers: [97, 9]
Generated Node #0,0,2: 81:[97, 9] Operation: 6+3=9
Exploring Operation: 97-3=94, Resulting Numbers: [6, 94]
Generated Node #0,0,3: 81:[6, 94] Operation: 97-3=94
Moving to Node #0,2
Current State: 81:[44, 3, 47], Operations: ['53-6=47']
Exploring Operation: 47-44=3, Resulting Numbers: [3, 3]
Generated Node #0,2,0: 81:[3, 3] Operation: 47-44=3
Exploring Operation: 44+47=91, Resulting Numbers: [3, 91]
Generated Node #0,2,1: 81:[3, 91] Operation: 44+47=91
Exploring Operation: 47-3=44, Resulting Numbers: [44, 44]
Generated Node #0,2,2: 81:[44, 44] Operation: 47-3=44
Exploring Operation: 44-3=41, Resulting Numbers: [47, 41]
Generated Node #0,2,3: 81:[47, 41] Operation: 44-3=41
Moving to Node #0,1
Current State: 81:[3, 53, 38], Operations: ['44-6=38']
Exploring Operation: 38-3=35, Resulting Numbers: [53, 35]
Generated Node #0,1,0: 81:[53, 35] Operation: 38-3=35
Exploring Operation: 53-38=15, Resulting Numbers: [3, 15]
Generated Node #0,1,1: 81:[3, 15] Operation: 53-38=15
Exploring Operation: 53+38=91, Resulting Numbers: [3, 91]
Generated Node #0,1,2: 81:[3, 91] Operation: 53+38=91
Exploring Operation: 53-3=50, Resulting Numbers: [38, 50]
Generated Node #0,1,3: 81:[38, 50] Operation: 53-3=50
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[3, 15], Operations: ['44-6=38', '53-38=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[3, 91], Operations: ['44-6=38', '53+38=91']
Exploring Operation: 3*91=273, Resulting Numbers: [273]
273,81 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[53, 35], Operations: ['44-6=38', '38-3=35']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 53*35=1855, Resulting Numbers: [1855]
1855,81 unequal: No Solution
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 81:[38, 50], Operations: ['44-6=38', '53-3=50']
Exploring Operation: 38*50=1900, Resulting Numbers: [1900]
1900,81 unequal: No Solution
Exploring Operation: 38+50=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 81:[9, 3], Operations: ['53-44=9', '6-3=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,81 unequal: No Solution
Moving to Node #0,3,3
Current State: 81:[9, 9], Operations: ['53-44=9', '6+3=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[44, 6, 3, 53], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [6, 3, 9]
Generated Node #0,3: 81:[6, 3, 9] Operation: 53-44=9
Moving to Node #0,3
Current State: 81:[6, 3, 9], Operations: ['53-44=9']
Exploring Operation: 6+3=9, Resulting Numbers: [9, 9]
Generated Node #0,3,3: 81:[9, 9] Operation: 6+3=9
Moving to Node #0,3,3
Current State: 81:[9, 9], Operations: ['53-44=9', '6+3=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.963542 |
hs_4
|
sum_heuristic
|
[
32,
50,
75,
15
] | 87 |
[
"32+50=82",
"75/15=5",
"82+5=87"
] |
Current State: 87:[32, 50, 75, 15], Operations: []
Exploring Operation: 32+50=82, Resulting Numbers: [75, 15, 82]
Generated Node #2: [75, 15, 82] from Operation: 32+50=82
Current State: 87:[75, 15, 82], Operations: ['32+50=82']
Exploring Operation: 75/15=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 75/15=5
Current State: 87:[82, 5], Operations: ['32+50=82', '75/15=5']
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[32, 50, 75, 15], Operations: []
Exploring Operation: 50-15=35, Resulting Numbers: [32, 75, 35]
Generated Node #0,0: 87:[32, 75, 35] Operation: 50-15=35
Exploring Operation: 75-50=25, Resulting Numbers: [32, 15, 25]
Generated Node #0,1: 87:[32, 15, 25] Operation: 75-50=25
Moving to Node #0,1
Current State: 87:[32, 15, 25], Operations: ['75-50=25']
Exploring Operation: 25-15=10, Resulting Numbers: [32, 10]
Generated Node #0,1,0: 87:[32, 10] Operation: 25-15=10
Exploring Operation: 15+25=40, Resulting Numbers: [32, 40]
Generated Node #0,1,1: 87:[32, 40] Operation: 15+25=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[32, 10], Operations: ['75-50=25', '25-15=10']
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,87 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:[32, 40], Operations: ['75-50=25', '15+25=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,87 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: 87:[32, 75, 35], Operations: ['50-15=35']
Exploring Operation: 75-35=40, Resulting Numbers: [32, 40]
Generated Node #0,0,0: 87:[32, 40] Operation: 75-35=40
Exploring Operation: 35-32=3, Resulting Numbers: [75, 3]
Generated Node #0,0,1: 87:[75, 3] Operation: 35-32=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[75, 3], Operations: ['50-15=35', '35-32=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 75+3=78, Resulting Numbers: [78]
78,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[32, 40], Operations: ['50-15=35', '75-35=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,87 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
|
[
53,
84,
96,
44
] | 21 |
[
"84-53=31",
"96-44=52",
"52-31=21"
] |
Current State: 21:[53, 84, 96, 44], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [96, 44, 31]
Generated Node #2: [96, 44, 31] from Operation: 84-53=31
Current State: 21:[96, 44, 31], Operations: ['84-53=31']
Exploring Operation: 96-44=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 96-44=52
Current State: 21:[31, 52], Operations: ['84-53=31', '96-44=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
Current State: 21:[53, 84, 96, 44], Operations: []
Exploring Operation: 84-44=40, Resulting Numbers: [53, 96, 40]
Generated Node #0,0: 21:[53, 96, 40] Operation: 84-44=40
Exploring Operation: 84-53=31, Resulting Numbers: [96, 44, 31]
Generated Node #0,1: 21:[96, 44, 31] Operation: 84-53=31
Exploring Operation: 96-44=52, Resulting Numbers: [53, 84, 52]
Generated Node #0,2: 21:[53, 84, 52] Operation: 96-44=52
Exploring Operation: 96-84=12, Resulting Numbers: [53, 44, 12]
Generated Node #0,3: 21:[53, 44, 12] Operation: 96-84=12
Exploring Operation: 96-53=43, Resulting Numbers: [84, 44, 43]
Generated Node #0,4: 21:[84, 44, 43] Operation: 96-53=43
Start Sub Search at level 1: Moving to Node #0,3
Current State: 21:[53, 44, 12], Operations: ['96-84=12']
Exploring Operation: 44-12=32, Resulting Numbers: [53, 32]
Generated Node #0,3,0: 21:[53, 32] Operation: 44-12=32
Exploring Operation: 53-12=41, Resulting Numbers: [44, 41]
Generated Node #0,3,1: 21:[44, 41] Operation: 53-12=41
Exploring Operation: 53-44=9, Resulting Numbers: [12, 9]
Generated Node #0,3,2: 21:[12, 9] Operation: 53-44=9
Exploring Operation: 53+12=65, Resulting Numbers: [44, 65]
Generated Node #0,3,3: 21:[44, 65] Operation: 53+12=65
Exploring Operation: 44+12=56, Resulting Numbers: [53, 56]
Generated Node #0,3,4: 21:[53, 56] Operation: 44+12=56
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 21:[12, 9], Operations: ['96-84=12', '53-44=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,21 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[53, 84, 96, 44], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [53, 44, 12]
Generated Node #0,3: 21:[53, 44, 12] Operation: 96-84=12
Moving to Node #0,3
Current State: 21:[53, 44, 12], Operations: ['96-84=12']
Exploring Operation: 53-44=9, Resulting Numbers: [12, 9]
Generated Node #0,3,2: 21:[12, 9] Operation: 53-44=9
Moving to Node #0,3,2
Current State: 21:[12, 9], Operations: ['96-84=12', '53-44=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
sum_heuristic
|
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