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 |
|---|---|---|---|---|---|---|---|---|
[
32,
98,
46,
94
] | 82 | [
"32+98=130",
"94-46=48",
"130-48=82"
] | Current State: 82:[32, 98, 46, 94], Operations: []
Exploring Operation: 32+98=130, Resulting Numbers: [46, 94, 130]
Generated Node #2: [46, 94, 130] from Operation: 32+98=130
Current State: 82:[46, 94, 130], Operations: ['32+98=130']
Exploring Operation: 94-46=48, Resulting Numbers: [130, 48]
Generated Node #3: [130, 48] from Operation: 94-46=48
Current State: 82:[130, 48], Operations: ['32+98=130', '94-46=48']
Exploring Operation: 130-48=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[32, 98, 46, 94], Operations: []
Exploring Operation: 32+46=78, Resulting Numbers: [98, 94, 78]
Generated Node #0,0: 82:[98, 94, 78] Operation: 32+46=78
Exploring Operation: 94-46=48, Resulting Numbers: [32, 98, 48]
Generated Node #0,1: 82:[32, 98, 48] Operation: 94-46=48
Exploring Operation: 98-46=52, Resulting Numbers: [32, 94, 52]
Generated Node #0,2: 82:[32, 94, 52] Operation: 98-46=52
Exploring Operation: 98-94=4, Resulting Numbers: [32, 46, 4]
Generated Node #0,3: 82:[32, 46, 4] Operation: 98-94=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[32, 46, 4], Operations: ['98-94=4']
Exploring Operation: 32+46=78, Resulting Numbers: [4, 78]
Generated Node #0,3,0: 82:[4, 78] Operation: 32+46=78
Exploring Operation: 32/4=8, Resulting Numbers: [46, 8]
Generated Node #0,3,1: 82:[46, 8] Operation: 32/4=8
Exploring Operation: 32+4=36, Resulting Numbers: [46, 36]
Generated Node #0,3,2: 82:[46, 36] Operation: 32+4=36
Exploring Operation: 46-4=42, Resulting Numbers: [32, 42]
Generated Node #0,3,3: 82:[32, 42] Operation: 46-4=42
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 82:[4, 78], Operations: ['98-94=4', '32+46=78']
Exploring Operation: 4*78=312, Resulting Numbers: [312]
312,82 unequal: No Solution
Exploring Operation: 4+78=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[32, 98, 46, 94], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [32, 46, 4]
Generated Node #0,3: 82:[32, 46, 4] Operation: 98-94=4
Moving to Node #0,3
Current State: 82:[32, 46, 4], Operations: ['98-94=4']
Exploring Operation: 32+46=78, Resulting Numbers: [4, 78]
Generated Node #0,3,0: 82:[4, 78] Operation: 32+46=78
Moving to Node #0,3,0
Current State: 82:[4, 78], Operations: ['98-94=4', '32+46=78']
Exploring Operation: 4+78=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
10,
13,
29,
17
] | 35 | [
"10+13=23",
"29-17=12",
"23+12=35"
] | Current State: 35:[10, 13, 29, 17], Operations: []
Exploring Operation: 10+13=23, Resulting Numbers: [29, 17, 23]
Generated Node #2: [29, 17, 23] from Operation: 10+13=23
Current State: 35:[29, 17, 23], Operations: ['10+13=23']
Exploring Operation: 29-17=12, Resulting Numbers: [23, 12]
Generated Node #3: [23, 12] from Operation: 29-17=12
Current State: 35:[23, 12], Operations: ['10+13=23', '29-17=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[10, 13, 29, 17], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [10, 29, 4]
Generated Node #0,0: 35:[10, 29, 4] Operation: 17-13=4
Exploring Operation: 13+17=30, Resulting Numbers: [10, 29, 30]
Generated Node #0,1: 35:[10, 29, 30] Operation: 13+17=30
Exploring Operation: 17-10=7, Resulting Numbers: [13, 29, 7]
Generated Node #0,2: 35:[13, 29, 7] Operation: 17-10=7
Exploring Operation: 13-10=3, Resulting Numbers: [29, 17, 3]
Generated Node #0,3: 35:[29, 17, 3] Operation: 13-10=3
Exploring Operation: 29-17=12, Resulting Numbers: [10, 13, 12]
Generated Node #0,4: 35:[10, 13, 12] Operation: 29-17=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[10, 29, 4], Operations: ['17-13=4']
Exploring Operation: 29+4=33, Resulting Numbers: [10, 33]
Generated Node #0,0,0: 35:[10, 33] Operation: 29+4=33
Exploring Operation: 29-10=19, Resulting Numbers: [4, 19]
Generated Node #0,0,1: 35:[4, 19] Operation: 29-10=19
Exploring Operation: 10*4=40, Resulting Numbers: [29, 40]
Generated Node #0,0,2: 35:[29, 40] Operation: 10*4=40
Exploring Operation: 10-4=6, Resulting Numbers: [29, 6]
Generated Node #0,0,3: 35:[29, 6] Operation: 10-4=6
Exploring Operation: 10+29=39, Resulting Numbers: [4, 39]
Generated Node #0,0,4: 35:[4, 39] Operation: 10+29=39
Moving to Node #0,0,0
Current State: 35:[10, 33], Operations: ['17-13=4', '29+4=33']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,35 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[4, 39], Operations: ['17-13=4', '10+29=39']
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,35 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[10, 13, 29, 17], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [10, 29, 4]
Generated Node #0,0: 35:[10, 29, 4] Operation: 17-13=4
Moving to Node #0,0
Current State: 35:[10, 29, 4], Operations: ['17-13=4']
Exploring Operation: 10+29=39, Resulting Numbers: [4, 39]
Generated Node #0,0,4: 35:[4, 39] Operation: 10+29=39
Moving to Node #0,0,4
Current State: 35:[4, 39], Operations: ['17-13=4', '10+29=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
99,
4,
36,
41
] | 79 | [
"41-36=5",
"4*5=20",
"99-20=79"
] | Current State: 79:[99, 4, 36, 41], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [99, 4, 5]
Generated Node #2: [99, 4, 5] from Operation: 41-36=5
Current State: 79:[99, 4, 5], Operations: ['41-36=5']
Exploring Operation: 4*5=20, Resulting Numbers: [99, 20]
Generated Node #3: [99, 20] from Operation: 4*5=20
Current State: 79:[99, 20], Operations: ['41-36=5', '4*5=20']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[99, 4, 36, 41], Operations: []
Exploring Operation: 99-4=95, Resulting Numbers: [36, 41, 95]
Generated Node #0,0: 79:[36, 41, 95] Operation: 99-4=95
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[36, 41, 95], Operations: ['99-4=95']
Exploring Operation: 36+41=77, Resulting Numbers: [95, 77]
Generated Node #0,0,0: 79:[95, 77] Operation: 36+41=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[95, 77], Operations: ['99-4=95', '36+41=77']
Exploring Operation: 95-77=18, Resulting Numbers: [18]
18,79 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
10,
68,
7,
5
] | 73 | [
"10/5=2",
"68+7=75",
"75-2=73"
] | Current State: 73:[10, 68, 7, 5], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [68, 7, 2]
Generated Node #2: [68, 7, 2] from Operation: 10/5=2
Current State: 73:[68, 7, 2], Operations: ['10/5=2']
Exploring Operation: 68+7=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 68+7=75
Current State: 73:[2, 75], Operations: ['10/5=2', '68+7=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[10, 68, 7, 5], Operations: []
Exploring Operation: 10*5=50, Resulting Numbers: [68, 7, 50]
Generated Node #0,0: 73:[68, 7, 50] Operation: 10*5=50
Exploring Operation: 7*5=35, Resulting Numbers: [10, 68, 35]
Generated Node #0,1: 73:[10, 68, 35] Operation: 7*5=35
Exploring Operation: 10*7=70, Resulting Numbers: [68, 5, 70]
Generated Node #0,2: 73:[68, 5, 70] Operation: 10*7=70
Exploring Operation: 10+7=17, Resulting Numbers: [68, 5, 17]
Generated Node #0,3: 73:[68, 5, 17] Operation: 10+7=17
Exploring Operation: 10+5=15, Resulting Numbers: [68, 7, 15]
Generated Node #0,4: 73:[68, 7, 15] Operation: 10+5=15
Moving to Node #0,2
Current State: 73:[68, 5, 70], Operations: ['10*7=70']
Exploring Operation: 5+70=75, Resulting Numbers: [68, 75]
Generated Node #0,2,0: 73:[68, 75] Operation: 5+70=75
Exploring Operation: 68-5=63, Resulting Numbers: [70, 63]
Generated Node #0,2,1: 73:[70, 63] Operation: 68-5=63
Exploring Operation: 68+5=73, Resulting Numbers: [70, 73]
Generated Node #0,2,2: 73:[70, 73] Operation: 68+5=73
Exploring Operation: 70/5=14, Resulting Numbers: [68, 14]
Generated Node #0,2,3: 73:[68, 14] Operation: 70/5=14
Exploring Operation: 70-5=65, Resulting Numbers: [68, 65]
Generated Node #0,2,4: 73:[68, 65] Operation: 70-5=65
Moving to Node #0,0
Current State: 73:[68, 7, 50], Operations: ['10*5=50']
Exploring Operation: 68+50=118, Resulting Numbers: [7, 118]
Generated Node #0,0,0: 73:[7, 118] Operation: 68+50=118
Exploring Operation: 50-7=43, Resulting Numbers: [68, 43]
Generated Node #0,0,1: 73:[68, 43] Operation: 50-7=43
Exploring Operation: 7+50=57, Resulting Numbers: [68, 57]
Generated Node #0,0,2: 73:[68, 57] Operation: 7+50=57
Exploring Operation: 68-7=61, Resulting Numbers: [50, 61]
Generated Node #0,0,3: 73:[50, 61] Operation: 68-7=61
Exploring Operation: 68+7=75, Resulting Numbers: [50, 75]
Generated Node #0,0,4: 73:[50, 75] Operation: 68+7=75
Moving to Node #0,1
Current State: 73:[10, 68, 35], Operations: ['7*5=35']
Exploring Operation: 35-10=25, Resulting Numbers: [68, 25]
Generated Node #0,1,0: 73:[68, 25] Operation: 35-10=25
Exploring Operation: 10+68=78, Resulting Numbers: [35, 78]
Generated Node #0,1,1: 73:[35, 78] Operation: 10+68=78
Exploring Operation: 68+35=103, Resulting Numbers: [10, 103]
Generated Node #0,1,2: 73:[10, 103] Operation: 68+35=103
Exploring Operation: 68-10=58, Resulting Numbers: [35, 58]
Generated Node #0,1,3: 73:[35, 58] Operation: 68-10=58
Exploring Operation: 10+35=45, Resulting Numbers: [68, 45]
Generated Node #0,1,4: 73:[68, 45] Operation: 10+35=45
Moving to Node #0,3
Current State: 73:[68, 5, 17], Operations: ['10+7=17']
Exploring Operation: 68+5=73, Resulting Numbers: [17, 73]
Generated Node #0,3,0: 73:[17, 73] Operation: 68+5=73
Exploring Operation: 17-5=12, Resulting Numbers: [68, 12]
Generated Node #0,3,1: 73:[68, 12] Operation: 17-5=12
Exploring Operation: 68-5=63, Resulting Numbers: [17, 63]
Generated Node #0,3,2: 73:[17, 63] Operation: 68-5=63
Exploring Operation: 5+17=22, Resulting Numbers: [68, 22]
Generated Node #0,3,3: 73:[68, 22] Operation: 5+17=22
Exploring Operation: 5*17=85, Resulting Numbers: [68, 85]
Generated Node #0,3,4: 73:[68, 85] Operation: 5*17=85
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 73:[68, 85], Operations: ['10+7=17', '5*17=85']
Exploring Operation: 68*85=5780, Resulting Numbers: [5780]
5780,73 unequal: No Solution
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,73 unequal: No Solution
Exploring Operation: 68+85=153, Resulting Numbers: [153]
153,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[17, 73], Operations: ['10+7=17', '68+5=73']
Exploring Operation: 17+73=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Exploring Operation: 17*73=1241, Resulting Numbers: [1241]
1241,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[68, 22], Operations: ['10+7=17', '5+17=22']
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,73 unequal: No Solution
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[68, 12], Operations: ['10+7=17', '17-5=12']
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Exploring Operation: 68*12=816, Resulting Numbers: [816]
816,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[17, 63], Operations: ['10+7=17', '68-5=63']
Exploring Operation: 63-17=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 17+63=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 17*63=1071, Resulting Numbers: [1071]
1071,73 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: 73:[68, 7, 15], Operations: ['10+5=15']
Exploring Operation: 68+7=75, Resulting Numbers: [15, 75]
Generated Node #0,4,0: 73:[15, 75] Operation: 68+7=75
Exploring Operation: 7+15=22, Resulting Numbers: [68, 22]
Generated Node #0,4,1: 73:[68, 22] Operation: 7+15=22
Exploring Operation: 15-7=8, Resulting Numbers: [68, 8]
Generated Node #0,4,2: 73:[68, 8] Operation: 15-7=8
Exploring Operation: 7*15=105, Resulting Numbers: [68, 105]
Generated Node #0,4,3: 73:[68, 105] Operation: 7*15=105
Exploring Operation: 68-7=61, Resulting Numbers: [15, 61]
Generated Node #0,4,4: 73:[15, 61] Operation: 68-7=61
Moving to Node #0,2,2
Current State: 73:[70, 73], Operations: ['10*7=70', '68+5=73']
Exploring Operation: 70+73=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 70*73=5110, Resulting Numbers: [5110]
5110,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[68, 75], Operations: ['10*7=70', '5+70=75']
Exploring Operation: 68*75=5100, Resulting Numbers: [5100]
5100,73 unequal: No Solution
Exploring Operation: 75-68=7, Resulting Numbers: [7]
7,73 unequal: No Solution
Exploring Operation: 68+75=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[70, 63], Operations: ['10*7=70', '68-5=63']
Exploring Operation: 70*63=4410, Resulting Numbers: [4410]
4410,73 unequal: No Solution
Exploring Operation: 70+63=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[68, 65], Operations: ['10*7=70', '70-5=65']
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 68+65=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 68*65=4420, Resulting Numbers: [4420]
4420,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[68, 57], Operations: ['10*5=50', '7+50=57']
Exploring Operation: 68+57=125, Resulting Numbers: [125]
125,73 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 68*57=3876, Resulting Numbers: [3876]
3876,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[50, 75], Operations: ['10*5=50', '68+7=75']
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,73 unequal: No Solution
Exploring Operation: 50+75=125, Resulting Numbers: [125]
125,73 unequal: No Solution
Exploring Operation: 50*75=3750, Resulting Numbers: [3750]
3750,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[68, 45], Operations: ['7*5=35', '10+35=45']
Exploring Operation: 68+45=113, Resulting Numbers: [113]
113,73 unequal: No Solution
Exploring Operation: 68*45=3060, Resulting Numbers: [3060]
3060,73 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[50, 61], Operations: ['10*5=50', '68-7=61']
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 50+61=111, Resulting Numbers: [111]
111,73 unequal: No Solution
Exploring Operation: 50*61=3050, Resulting Numbers: [3050]
3050,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[68, 43], Operations: ['10*5=50', '50-7=43']
Exploring Operation: 68+43=111, Resulting Numbers: [111]
111,73 unequal: No Solution
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,73 unequal: No Solution
Exploring Operation: 68*43=2924, Resulting Numbers: [2924]
2924,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[68, 105], Operations: ['10+5=15', '7*15=105']
Exploring Operation: 68*105=7140, Resulting Numbers: [7140]
7140,73 unequal: No Solution
Exploring Operation: 105-68=37, Resulting Numbers: [37]
37,73 unequal: No Solution
Exploring Operation: 68+105=173, Resulting Numbers: [173]
173,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[35, 78], Operations: ['7*5=35', '10+68=78']
Exploring Operation: 35*78=2730, Resulting Numbers: [2730]
2730,73 unequal: No Solution
Exploring Operation: 35+78=113, Resulting Numbers: [113]
113,73 unequal: No Solution
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[35, 58], Operations: ['7*5=35', '68-10=58']
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,73 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,73 unequal: No Solution
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[68, 25], Operations: ['7*5=35', '35-10=25']
Exploring Operation: 68+25=93, Resulting Numbers: [93]
93,73 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,73 unequal: No Solution
Exploring Operation: 68*25=1700, Resulting Numbers: [1700]
1700,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[68, 22], Operations: ['10+5=15', '7+15=22']
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,73 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[15, 75], Operations: ['10+5=15', '68+7=75']
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,73 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[68, 14], Operations: ['10*7=70', '70/5=14']
Exploring Operation: 68+14=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 68*14=952, Resulting Numbers: [952]
952,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[68, 8], Operations: ['10+5=15', '15-7=8']
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,73 unequal: No Solution
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,73 unequal: No Solution
Exploring Operation: 68*8=544, Resulting Numbers: [544]
544,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[15, 61], Operations: ['10+5=15', '68-7=61']
Exploring Operation: 15*61=915, Resulting Numbers: [915]
915,73 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 15+61=76, Resulting Numbers: [76]
76,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[10, 103], Operations: ['7*5=35', '68+35=103']
Exploring Operation: 10+103=113, Resulting Numbers: [113]
113,73 unequal: No Solution
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,73 unequal: No Solution
Exploring Operation: 10*103=1030, Resulting Numbers: [1030]
1030,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[7, 118], Operations: ['10*5=50', '68+50=118']
Exploring Operation: 7+118=125, Resulting Numbers: [125]
125,73 unequal: No Solution
Exploring Operation: 7*118=826, Resulting Numbers: [826]
826,73 unequal: No Solution
Exploring Operation: 118-7=111, Resulting Numbers: [111]
111,73 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
42,
24,
53,
47
] | 82 | [
"42-24=18",
"53+47=100",
"100-18=82"
] | Current State: 82:[42, 24, 53, 47], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [53, 47, 18]
Generated Node #2: [53, 47, 18] from Operation: 42-24=18
Current State: 82:[53, 47, 18], Operations: ['42-24=18']
Exploring Operation: 53+47=100, Resulting Numbers: [18, 100]
Generated Node #3: [18, 100] from Operation: 53+47=100
Current State: 82:[18, 100], Operations: ['42-24=18', '53+47=100']
Exploring Operation: 100-18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[42, 24, 53, 47], Operations: []
Exploring Operation: 24+53=77, Resulting Numbers: [42, 47, 77]
Generated Node #0,0: 82:[42, 47, 77] Operation: 24+53=77
Exploring Operation: 53-24=29, Resulting Numbers: [42, 47, 29]
Generated Node #0,1: 82:[42, 47, 29] Operation: 53-24=29
Exploring Operation: 53-47=6, Resulting Numbers: [42, 24, 6]
Generated Node #0,2: 82:[42, 24, 6] Operation: 53-47=6
Moving to Node #0,0
Current State: 82:[42, 47, 77], Operations: ['24+53=77']
Exploring Operation: 47-42=5, Resulting Numbers: [77, 5]
Generated Node #0,0,0: 82:[77, 5] Operation: 47-42=5
Exploring Operation: 42+47=89, Resulting Numbers: [77, 89]
Generated Node #0,0,1: 82:[77, 89] Operation: 42+47=89
Exploring Operation: 77-42=35, Resulting Numbers: [47, 35]
Generated Node #0,0,2: 82:[47, 35] Operation: 77-42=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[77, 5], Operations: ['24+53=77', '47-42=5']
Exploring Operation: 77*5=385, Resulting Numbers: [385]
385,82 unequal: No Solution
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[42, 24, 53, 47], Operations: []
Exploring Operation: 24+53=77, Resulting Numbers: [42, 47, 77]
Generated Node #0,0: 82:[42, 47, 77] Operation: 24+53=77
Moving to Node #0,0
Current State: 82:[42, 47, 77], Operations: ['24+53=77']
Exploring Operation: 47-42=5, Resulting Numbers: [77, 5]
Generated Node #0,0,0: 82:[77, 5] Operation: 47-42=5
Moving to Node #0,0,0
Current State: 82:[77, 5], Operations: ['24+53=77', '47-42=5']
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
16,
5,
48,
29
] | 99 | [
"16*5=80",
"48-29=19",
"80+19=99"
] | Current State: 99:[16, 5, 48, 29], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [48, 29, 80]
Generated Node #2: [48, 29, 80] from Operation: 16*5=80
Current State: 99:[48, 29, 80], Operations: ['16*5=80']
Exploring Operation: 48-29=19, Resulting Numbers: [80, 19]
Generated Node #3: [80, 19] from Operation: 48-29=19
Current State: 99:[80, 19], Operations: ['16*5=80', '48-29=19']
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[16, 5, 48, 29], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [5, 29, 3]
Generated Node #0,0: 99:[5, 29, 3] Operation: 48/16=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[5, 29, 3], Operations: ['48/16=3']
Exploring Operation: 5+29=34, Resulting Numbers: [3, 34]
Generated Node #0,0,0: 99:[3, 34] Operation: 5+29=34
Moving to Node #0,0,0
Current State: 99:[3, 34], Operations: ['48/16=3', '5+29=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,99 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 |
[
99,
94,
80,
2
] | 71 | [
"94-80=14",
"2*14=28",
"99-28=71"
] | Current State: 71:[99, 94, 80, 2], Operations: []
Exploring Operation: 94-80=14, Resulting Numbers: [99, 2, 14]
Generated Node #2: [99, 2, 14] from Operation: 94-80=14
Current State: 71:[99, 2, 14], Operations: ['94-80=14']
Exploring Operation: 2*14=28, Resulting Numbers: [99, 28]
Generated Node #3: [99, 28] from Operation: 2*14=28
Current State: 71:[99, 28], Operations: ['94-80=14', '2*14=28']
Exploring Operation: 99-28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[99, 94, 80, 2], Operations: []
Exploring Operation: 99-2=97, Resulting Numbers: [94, 80, 97]
Generated Node #0,0: 71:[94, 80, 97] Operation: 99-2=97
Exploring Operation: 94-2=92, Resulting Numbers: [99, 80, 92]
Generated Node #0,1: 71:[99, 80, 92] Operation: 94-2=92
Exploring Operation: 80-2=78, Resulting Numbers: [99, 94, 78]
Generated Node #0,2: 71:[99, 94, 78] Operation: 80-2=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[94, 80, 97], Operations: ['99-2=97']
Exploring Operation: 97-94=3, Resulting Numbers: [80, 3]
Generated Node #0,0,0: 71:[80, 3] Operation: 97-94=3
Exploring Operation: 97-80=17, Resulting Numbers: [94, 17]
Generated Node #0,0,1: 71:[94, 17] Operation: 97-80=17
Exploring Operation: 94-80=14, Resulting Numbers: [97, 14]
Generated Node #0,0,2: 71:[97, 14] Operation: 94-80=14
Moving to Node #0,0,0
Current State: 71:[80, 3], Operations: ['99-2=97', '97-94=3']
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,71 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,71 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[94, 17], Operations: ['99-2=97', '97-80=17']
Exploring Operation: 94+17=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 94*17=1598, Resulting Numbers: [1598]
1598,71 unequal: No Solution
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[97, 14], Operations: ['99-2=97', '94-80=14']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,71 unequal: No Solution
Exploring Operation: 97+14=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 97*14=1358, Resulting Numbers: [1358]
1358,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[99, 80, 92], Operations: ['94-2=92']
Exploring Operation: 92-80=12, Resulting Numbers: [99, 12]
Generated Node #0,1,0: 71:[99, 12] Operation: 92-80=12
Exploring Operation: 99-80=19, Resulting Numbers: [92, 19]
Generated Node #0,1,1: 71:[92, 19] Operation: 99-80=19
Exploring Operation: 99-92=7, Resulting Numbers: [80, 7]
Generated Node #0,1,2: 71:[80, 7] Operation: 99-92=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[92, 19], Operations: ['94-2=92', '99-80=19']
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,71 unequal: No Solution
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[80, 7], Operations: ['94-2=92', '99-92=7']
Exploring Operation: 80+7=87, Resulting Numbers: [87]
87,71 unequal: No Solution
Exploring Operation: 80*7=560, Resulting Numbers: [560]
560,71 unequal: No Solution
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[99, 12], Operations: ['94-2=92', '92-80=12']
Exploring Operation: 99*12=1188, Resulting Numbers: [1188]
1188,71 unequal: No Solution
Exploring Operation: 99+12=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[99, 94, 78], Operations: ['80-2=78']
Exploring Operation: 99-78=21, Resulting Numbers: [94, 21]
Generated Node #0,2,0: 71:[94, 21] Operation: 99-78=21
Exploring Operation: 94-78=16, Resulting Numbers: [99, 16]
Generated Node #0,2,1: 71:[99, 16] Operation: 94-78=16
Exploring Operation: 99-94=5, Resulting Numbers: [78, 5]
Generated Node #0,2,2: 71:[78, 5] Operation: 99-94=5
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[94, 21], Operations: ['80-2=78', '99-78=21']
Exploring Operation: 94-21=73, Resulting Numbers: [73]
73,71 unequal: No Solution
Exploring Operation: 94+21=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 94*21=1974, Resulting Numbers: [1974]
1974,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[78, 5], Operations: ['80-2=78', '99-94=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,71 unequal: No Solution
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,71 unequal: No Solution
Exploring Operation: 78*5=390, Resulting Numbers: [390]
390,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[99, 16], Operations: ['80-2=78', '94-78=16']
Exploring Operation: 99+16=115, Resulting Numbers: [115]
115,71 unequal: No Solution
Exploring Operation: 99*16=1584, Resulting Numbers: [1584]
1584,71 unequal: No Solution
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
42,
65,
67,
59
] | 62 | [
"67+59=126",
"126/42=3",
"65-3=62"
] | Current State: 62:[42, 65, 67, 59], Operations: []
Exploring Operation: 67+59=126, Resulting Numbers: [42, 65, 126]
Generated Node #2: [42, 65, 126] from Operation: 67+59=126
Current State: 62:[42, 65, 126], Operations: ['67+59=126']
Exploring Operation: 126/42=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 126/42=3
Current State: 62:[65, 3], Operations: ['67+59=126', '126/42=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[42, 65, 67, 59], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [42, 67, 6]
Generated Node #0,0: 62:[42, 67, 6] Operation: 65-59=6
Exploring Operation: 67-65=2, Resulting Numbers: [42, 59, 2]
Generated Node #0,1: 62:[42, 59, 2] Operation: 67-65=2
Exploring Operation: 65-42=23, Resulting Numbers: [67, 59, 23]
Generated Node #0,2: 62:[67, 59, 23] Operation: 65-42=23
Exploring Operation: 67-42=25, Resulting Numbers: [65, 59, 25]
Generated Node #0,3: 62:[65, 59, 25] Operation: 67-42=25
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[65, 59, 25], Operations: ['67-42=25']
Exploring Operation: 59+25=84, Resulting Numbers: [65, 84]
Generated Node #0,3,0: 62:[65, 84] Operation: 59+25=84
Exploring Operation: 65-25=40, Resulting Numbers: [59, 40]
Generated Node #0,3,1: 62:[59, 40] Operation: 65-25=40
Exploring Operation: 59-25=34, Resulting Numbers: [65, 34]
Generated Node #0,3,2: 62:[65, 34] Operation: 59-25=34
Exploring Operation: 65-59=6, Resulting Numbers: [25, 6]
Generated Node #0,3,3: 62:[25, 6] Operation: 65-59=6
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 62:[65, 34], Operations: ['67-42=25', '59-25=34']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,62 unequal: No Solution
Exploring Operation: 65*34=2210, Resulting Numbers: [2210]
2210,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 62:[25, 6], Operations: ['67-42=25', '65-59=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,62 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 62:[59, 40], Operations: ['67-42=25', '65-25=40']
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,62 unequal: No Solution
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,62 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 62:[65, 84], Operations: ['67-42=25', '59+25=84']
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 65+84=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 65*84=5460, Resulting Numbers: [5460]
5460,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[42, 59, 2], Operations: ['67-65=2']
Exploring Operation: 59-42=17, Resulting Numbers: [2, 17]
Generated Node #0,1,0: 62:[2, 17] Operation: 59-42=17
Exploring Operation: 59+2=61, Resulting Numbers: [42, 61]
Generated Node #0,1,1: 62:[42, 61] Operation: 59+2=61
Exploring Operation: 42-2=40, Resulting Numbers: [59, 40]
Generated Node #0,1,2: 62:[59, 40] Operation: 42-2=40
Exploring Operation: 42/2=21, Resulting Numbers: [59, 21]
Generated Node #0,1,3: 62:[59, 21] Operation: 42/2=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 62:[42, 61], Operations: ['67-65=2', '59+2=61']
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 42*61=2562, Resulting Numbers: [2562]
2562,62 unequal: No Solution
Exploring Operation: 42+61=103, Resulting Numbers: [103]
103,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[59, 40], Operations: ['67-65=2', '42-2=40']
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,62 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 62:[59, 21], Operations: ['67-65=2', '42/2=21']
Exploring Operation: 59-21=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,62 unequal: No Solution
Exploring Operation: 59*21=1239, Resulting Numbers: [1239]
1239,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[2, 17], Operations: ['67-65=2', '59-42=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[67, 59, 23], Operations: ['65-42=23']
Exploring Operation: 67-23=44, Resulting Numbers: [59, 44]
Generated Node #0,2,0: 62:[59, 44] Operation: 67-23=44
Exploring Operation: 67-59=8, Resulting Numbers: [23, 8]
Generated Node #0,2,1: 62:[23, 8] Operation: 67-59=8
Exploring Operation: 59-23=36, Resulting Numbers: [67, 36]
Generated Node #0,2,2: 62:[67, 36] Operation: 59-23=36
Exploring Operation: 59+23=82, Resulting Numbers: [67, 82]
Generated Node #0,2,3: 62:[67, 82] Operation: 59+23=82
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[67, 36], Operations: ['65-42=23', '59-23=36']
Exploring Operation: 67+36=103, Resulting Numbers: [103]
103,62 unequal: No Solution
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 67*36=2412, Resulting Numbers: [2412]
2412,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[23, 8], Operations: ['65-42=23', '67-59=8']
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,62 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,62 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[59, 44], Operations: ['65-42=23', '67-23=44']
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,62 unequal: No Solution
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,62 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 62:[67, 82], Operations: ['65-42=23', '59+23=82']
Exploring Operation: 67*82=5494, Resulting Numbers: [5494]
5494,62 unequal: No Solution
Exploring Operation: 67+82=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 82-67=15, Resulting Numbers: [15]
15,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[42, 67, 6], Operations: ['65-59=6']
Exploring Operation: 67-42=25, Resulting Numbers: [6, 25]
Generated Node #0,0,0: 62:[6, 25] Operation: 67-42=25
Exploring Operation: 42/6=7, Resulting Numbers: [67, 7]
Generated Node #0,0,1: 62:[67, 7] Operation: 42/6=7
Exploring Operation: 67-6=61, Resulting Numbers: [42, 61]
Generated Node #0,0,2: 62:[42, 61] Operation: 67-6=61
Exploring Operation: 42-6=36, Resulting Numbers: [67, 36]
Generated Node #0,0,3: 62:[67, 36] Operation: 42-6=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[6, 25], Operations: ['65-59=6', '67-42=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,62 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[67, 7], Operations: ['65-59=6', '42/6=7']
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,62 unequal: No Solution
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,62 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 62:[67, 36], Operations: ['65-59=6', '42-6=36']
Exploring Operation: 67+36=103, Resulting Numbers: [103]
103,62 unequal: No Solution
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 67*36=2412, Resulting Numbers: [2412]
2412,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[42, 61], Operations: ['65-59=6', '67-6=61']
Exploring Operation: 42+61=103, Resulting Numbers: [103]
103,62 unequal: No Solution
Exploring Operation: 42*61=2562, Resulting Numbers: [2562]
2562,62 unequal: No Solution
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
98,
65,
36,
36
] | 39 | [
"98-65=33",
"36+36=72",
"72-33=39"
] | Current State: 39:[98, 65, 36, 36], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [36, 36, 33]
Generated Node #2: [36, 36, 33] from Operation: 98-65=33
Current State: 39:[36, 36, 33], Operations: ['98-65=33']
Exploring Operation: 36+36=72, Resulting Numbers: [33, 72]
Generated Node #3: [33, 72] from Operation: 36+36=72
Current State: 39:[33, 72], Operations: ['98-65=33', '36+36=72']
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[98, 65, 36, 36], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [98, 36, 29]
Generated Node #0,0: 39:[98, 36, 29] Operation: 65-36=29
Exploring Operation: 98-65=33, Resulting Numbers: [36, 36, 33]
Generated Node #0,1: 39:[36, 36, 33] Operation: 98-65=33
Exploring Operation: 98-36=62, Resulting Numbers: [65, 36, 62]
Generated Node #0,2: 39:[65, 36, 62] Operation: 98-36=62
Exploring Operation: 98-36=62, Resulting Numbers: [65, 36, 62]
Generated Node #0,3: 39:[65, 36, 62] Operation: 98-36=62
Exploring Operation: 65-36=29, Resulting Numbers: [98, 36, 29]
Generated Node #0,4: 39:[98, 36, 29] Operation: 65-36=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[36, 36, 33], Operations: ['98-65=33']
Exploring Operation: 36-33=3, Resulting Numbers: [36, 3]
Generated Node #0,1,0: 39:[36, 3] Operation: 36-33=3
Exploring Operation: 36-36=0, Resulting Numbers: [33, 0]
Generated Node #0,1,1: 39:[33, 0] Operation: 36-36=0
Exploring Operation: 36/36=1, Resulting Numbers: [33, 1]
Generated Node #0,1,2: 39:[33, 1] Operation: 36/36=1
Exploring Operation: 36-33=3, Resulting Numbers: [36, 3]
Generated Node #0,1,3: 39:[36, 3] Operation: 36-33=3
Exploring Operation: 36+33=69, Resulting Numbers: [36, 69]
Generated Node #0,1,4: 39:[36, 69] Operation: 36+33=69
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[36, 3], Operations: ['98-65=33', '36-33=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,39 unequal: No Solution
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,39 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[98, 65, 36, 36], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [36, 36, 33]
Generated Node #0,1: 39:[36, 36, 33] Operation: 98-65=33
Moving to Node #0,1
Current State: 39:[36, 36, 33], Operations: ['98-65=33']
Exploring Operation: 36-33=3, Resulting Numbers: [36, 3]
Generated Node #0,1,0: 39:[36, 3] Operation: 36-33=3
Moving to Node #0,1,0
Current State: 39:[36, 3], Operations: ['98-65=33', '36-33=3']
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
90,
3,
38,
82
] | 14 | [
"90/3=30",
"82-38=44",
"44-30=14"
] | Current State: 14:[90, 3, 38, 82], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [38, 82, 30]
Generated Node #2: [38, 82, 30] from Operation: 90/3=30
Current State: 14:[38, 82, 30], Operations: ['90/3=30']
Exploring Operation: 82-38=44, Resulting Numbers: [30, 44]
Generated Node #3: [30, 44] from Operation: 82-38=44
Current State: 14:[30, 44], Operations: ['90/3=30', '82-38=44']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[90, 3, 38, 82], Operations: []
Exploring Operation: 90-38=52, Resulting Numbers: [3, 82, 52]
Generated Node #0,0: 14:[3, 82, 52] Operation: 90-38=52
Exploring Operation: 90-3=87, Resulting Numbers: [38, 82, 87]
Generated Node #0,1: 14:[38, 82, 87] Operation: 90-3=87
Exploring Operation: 82-38=44, Resulting Numbers: [90, 3, 44]
Generated Node #0,2: 14:[90, 3, 44] Operation: 82-38=44
Exploring Operation: 90/3=30, Resulting Numbers: [38, 82, 30]
Generated Node #0,3: 14:[38, 82, 30] Operation: 90/3=30
Exploring Operation: 90-82=8, Resulting Numbers: [3, 38, 8]
Generated Node #0,4: 14:[3, 38, 8] Operation: 90-82=8
Moving to Node #0,4
Current State: 14:[3, 38, 8], Operations: ['90-82=8']
Exploring Operation: 38-8=30, Resulting Numbers: [3, 30]
Generated Node #0,4,0: 14:[3, 30] Operation: 38-8=30
Exploring Operation: 3+38=41, Resulting Numbers: [8, 41]
Generated Node #0,4,1: 14:[8, 41] Operation: 3+38=41
Exploring Operation: 38-3=35, Resulting Numbers: [8, 35]
Generated Node #0,4,2: 14:[8, 35] Operation: 38-3=35
Exploring Operation: 3+8=11, Resulting Numbers: [38, 11]
Generated Node #0,4,3: 14:[38, 11] Operation: 3+8=11
Exploring Operation: 8-3=5, Resulting Numbers: [38, 5]
Generated Node #0,4,4: 14:[38, 5] Operation: 8-3=5
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 14:[3, 30], Operations: ['90-82=8', '38-8=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,14 unequal: No Solution
No 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: 14:[8, 35], Operations: ['90-82=8', '38-3=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,14 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,14 unequal: No Solution
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,14 unequal: No Solution
No 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: 14:[38, 5], Operations: ['90-82=8', '8-3=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,14 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,14 unequal: No Solution
No 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: 14:[38, 11], Operations: ['90-82=8', '3+8=11']
Exploring Operation: 38+11=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 38*11=418, Resulting Numbers: [418]
418,14 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,14 unequal: No Solution
No 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: 14:[8, 41], Operations: ['90-82=8', '3+38=41']
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,14 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,14 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: 14:[90, 3, 44], Operations: ['82-38=44']
Exploring Operation: 90-3=87, Resulting Numbers: [44, 87]
Generated Node #0,2,0: 14:[44, 87] Operation: 90-3=87
Exploring Operation: 90+3=93, Resulting Numbers: [44, 93]
Generated Node #0,2,1: 14:[44, 93] Operation: 90+3=93
Exploring Operation: 90-44=46, Resulting Numbers: [3, 46]
Generated Node #0,2,2: 14:[3, 46] Operation: 90-44=46
Exploring Operation: 90/3=30, Resulting Numbers: [44, 30]
Generated Node #0,2,3: 14:[44, 30] Operation: 90/3=30
Exploring Operation: 44-3=41, Resulting Numbers: [90, 41]
Generated Node #0,2,4: 14:[90, 41] Operation: 44-3=41
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[3, 46], Operations: ['82-38=44', '90-44=46']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,14 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,14 unequal: No Solution
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,14 unequal: No Solution
No 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: 14:[44, 30], Operations: ['82-38=44', '90/3=30']
Exploring Operation: 44*30=1320, Resulting Numbers: [1320]
1320,14 unequal: No Solution
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,14 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[90, 3, 38, 82], Operations: []
Exploring Operation: 82-38=44, Resulting Numbers: [90, 3, 44]
Generated Node #0,2: 14:[90, 3, 44] Operation: 82-38=44
Moving to Node #0,2
Current State: 14:[90, 3, 44], Operations: ['82-38=44']
Exploring Operation: 90/3=30, Resulting Numbers: [44, 30]
Generated Node #0,2,3: 14:[44, 30] Operation: 90/3=30
Moving to Node #0,2,3
Current State: 14:[44, 30], Operations: ['82-38=44', '90/3=30']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
12,
98,
35,
58
] | 17 | [
"12+98=110",
"35+58=93",
"110-93=17"
] | Current State: 17:[12, 98, 35, 58], Operations: []
Exploring Operation: 12+98=110, Resulting Numbers: [35, 58, 110]
Generated Node #2: [35, 58, 110] from Operation: 12+98=110
Current State: 17:[35, 58, 110], Operations: ['12+98=110']
Exploring Operation: 35+58=93, Resulting Numbers: [110, 93]
Generated Node #3: [110, 93] from Operation: 35+58=93
Current State: 17:[110, 93], Operations: ['12+98=110', '35+58=93']
Exploring Operation: 110-93=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[12, 98, 35, 58], Operations: []
Exploring Operation: 98-35=63, Resulting Numbers: [12, 58, 63]
Generated Node #0,0: 17:[12, 58, 63] Operation: 98-35=63
Exploring Operation: 58-35=23, Resulting Numbers: [12, 98, 23]
Generated Node #0,1: 17:[12, 98, 23] Operation: 58-35=23
Exploring Operation: 98-58=40, Resulting Numbers: [12, 35, 40]
Generated Node #0,2: 17:[12, 35, 40] Operation: 98-58=40
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[12, 35, 40], Operations: ['98-58=40']
Exploring Operation: 40-12=28, Resulting Numbers: [35, 28]
Generated Node #0,2,0: 17:[35, 28] Operation: 40-12=28
Exploring Operation: 35-12=23, Resulting Numbers: [40, 23]
Generated Node #0,2,1: 17:[40, 23] Operation: 35-12=23
Exploring Operation: 40-35=5, Resulting Numbers: [12, 5]
Generated Node #0,2,2: 17:[12, 5] Operation: 40-35=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[12, 5], Operations: ['98-58=40', '40-35=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,17 unequal: No Solution
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[12, 98, 35, 58], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [12, 35, 40]
Generated Node #0,2: 17:[12, 35, 40] Operation: 98-58=40
Moving to Node #0,2
Current State: 17:[12, 35, 40], Operations: ['98-58=40']
Exploring Operation: 40-35=5, Resulting Numbers: [12, 5]
Generated Node #0,2,2: 17:[12, 5] Operation: 40-35=5
Moving to Node #0,2,2
Current State: 17:[12, 5], Operations: ['98-58=40', '40-35=5']
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
11,
92,
11,
17
] | 75 | [
"11+92=103",
"11+17=28",
"103-28=75"
] | Current State: 75:[11, 92, 11, 17], Operations: []
Exploring Operation: 11+92=103, Resulting Numbers: [17, 103]
Generated Node #2: [17, 103] from Operation: 11+92=103
Current State: 75:[17, 103], Operations: ['11+92=103']
Exploring Operation: 11+17=28, Resulting Numbers: [103, 28]
Generated Node #3: [103, 28] from Operation: 11+17=28
Current State: 75:[103, 28], Operations: ['11+92=103', '11+17=28']
Exploring Operation: 103-28=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[11, 92, 11, 17], Operations: []
Exploring Operation: 92-11=81, Resulting Numbers: [11, 17, 81]
Generated Node #0,0: 75:[11, 17, 81] Operation: 92-11=81
Exploring Operation: 92-17=75, Resulting Numbers: [11, 11, 75]
Generated Node #0,1: 75:[11, 11, 75] Operation: 92-17=75
Moving to Node #0,1
Current State: 75:[11, 11, 75], Operations: ['92-17=75']
Exploring Operation: 11/11=1, Resulting Numbers: [75, 1]
Generated Node #0,1,0: 75:[75, 1] Operation: 11/11=1
Exploring Operation: 11+11=22, Resulting Numbers: [75, 22]
Generated Node #0,1,1: 75:[75, 22] Operation: 11+11=22
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 75:[75, 1], Operations: ['92-17=75', '11/11=1']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[11, 92, 11, 17], Operations: []
Exploring Operation: 92-17=75, Resulting Numbers: [11, 11, 75]
Generated Node #0,1: 75:[11, 11, 75] Operation: 92-17=75
Moving to Node #0,1
Current State: 75:[11, 11, 75], Operations: ['92-17=75']
Exploring Operation: 11/11=1, Resulting Numbers: [75, 1]
Generated Node #0,1,0: 75:[75, 1] Operation: 11/11=1
Moving to Node #0,1,0
Current State: 75:[75, 1], Operations: ['92-17=75', '11/11=1']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
81,
99,
6,
96
] | 11 | [
"81+6=87",
"96-87=9",
"99/9=11"
] | Current State: 11:[81, 99, 6, 96], Operations: []
Exploring Operation: 81+6=87, Resulting Numbers: [99, 96, 87]
Generated Node #2: [99, 96, 87] from Operation: 81+6=87
Current State: 11:[99, 96, 87], Operations: ['81+6=87']
Exploring Operation: 96-87=9, Resulting Numbers: [99, 9]
Generated Node #3: [99, 9] from Operation: 96-87=9
Current State: 11:[99, 9], Operations: ['81+6=87', '96-87=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[81, 99, 6, 96], Operations: []
Exploring Operation: 99-81=18, Resulting Numbers: [6, 96, 18]
Generated Node #0,0: 11:[6, 96, 18] Operation: 99-81=18
Exploring Operation: 81-6=75, Resulting Numbers: [99, 96, 75]
Generated Node #0,1: 11:[99, 96, 75] Operation: 81-6=75
Exploring Operation: 96-81=15, Resulting Numbers: [99, 6, 15]
Generated Node #0,2: 11:[99, 6, 15] Operation: 96-81=15
Exploring Operation: 99-96=3, Resulting Numbers: [81, 6, 3]
Generated Node #0,3: 11:[81, 6, 3] Operation: 99-96=3
Exploring Operation: 96/6=16, Resulting Numbers: [81, 99, 16]
Generated Node #0,4: 11:[81, 99, 16] Operation: 96/6=16
Moving to Node #0,3
Current State: 11:[81, 6, 3], Operations: ['99-96=3']
Exploring Operation: 6+3=9, Resulting Numbers: [81, 9]
Generated Node #0,3,0: 11:[81, 9] Operation: 6+3=9
Exploring Operation: 81-3=78, Resulting Numbers: [6, 78]
Generated Node #0,3,1: 11:[6, 78] Operation: 81-3=78
Exploring Operation: 81/3=27, Resulting Numbers: [6, 27]
Generated Node #0,3,2: 11:[6, 27] Operation: 81/3=27
Exploring Operation: 6*3=18, Resulting Numbers: [81, 18]
Generated Node #0,3,3: 11:[81, 18] Operation: 6*3=18
Exploring Operation: 81-6=75, Resulting Numbers: [3, 75]
Generated Node #0,3,4: 11:[3, 75] Operation: 81-6=75
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[6, 27], Operations: ['99-96=3', '81/3=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,11 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[81, 9], Operations: ['99-96=3', '6+3=9']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 81*9=729, Resulting Numbers: [729]
729,11 unequal: No Solution
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[6, 78], Operations: ['99-96=3', '81-3=78']
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,11 unequal: No Solution
Exploring Operation: 6*78=468, Resulting Numbers: [468]
468,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 11:[3, 75], Operations: ['99-96=3', '81-6=75']
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,11 unequal: No Solution
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,11 unequal: No Solution
Exploring Operation: 3*75=225, Resulting Numbers: [225]
225,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[81, 18], Operations: ['99-96=3', '6*3=18']
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,11 unequal: No Solution
Exploring Operation: 81+18=99, Resulting Numbers: [99]
99,11 unequal: No Solution
Exploring Operation: 81*18=1458, Resulting Numbers: [1458]
1458,11 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: 11:[99, 6, 15], Operations: ['96-81=15']
Exploring Operation: 15-6=9, Resulting Numbers: [99, 9]
Generated Node #0,2,0: 11:[99, 9] Operation: 15-6=9
Exploring Operation: 99-15=84, Resulting Numbers: [6, 84]
Generated Node #0,2,1: 11:[6, 84] Operation: 99-15=84
Exploring Operation: 6+15=21, Resulting Numbers: [99, 21]
Generated Node #0,2,2: 11:[99, 21] Operation: 6+15=21
Exploring Operation: 99+6=105, Resulting Numbers: [15, 105]
Generated Node #0,2,3: 11:[15, 105] Operation: 99+6=105
Exploring Operation: 99-6=93, Resulting Numbers: [15, 93]
Generated Node #0,2,4: 11:[15, 93] Operation: 99-6=93
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 11:[6, 84], Operations: ['96-81=15', '99-15=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 6*84=504, Resulting Numbers: [504]
504,11 unequal: No Solution
Exploring Operation: 6+84=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 11:[15, 93], Operations: ['96-81=15', '99-6=93']
Exploring Operation: 15*93=1395, Resulting Numbers: [1395]
1395,11 unequal: No Solution
Exploring Operation: 15+93=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Exploring Operation: 93-15=78, Resulting Numbers: [78]
78,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 11:[99, 9], Operations: ['96-81=15', '15-6=9']
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[81, 99, 6, 96], Operations: []
Exploring Operation: 96-81=15, Resulting Numbers: [99, 6, 15]
Generated Node #0,2: 11:[99, 6, 15] Operation: 96-81=15
Moving to Node #0,2
Current State: 11:[99, 6, 15], Operations: ['96-81=15']
Exploring Operation: 15-6=9, Resulting Numbers: [99, 9]
Generated Node #0,2,0: 11:[99, 9] Operation: 15-6=9
Moving to Node #0,2,0
Current State: 11:[99, 9], Operations: ['96-81=15', '15-6=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | mult_heuristic |
[
12,
78,
37,
90
] | 37 | [
"12+78=90",
"37+90=127",
"127-90=37"
] | Current State: 37:[12, 78, 37, 90], Operations: []
Exploring Operation: 12+78=90, Resulting Numbers: [37, 90, 90]
Generated Node #2: [37, 90, 90] from Operation: 12+78=90
Current State: 37:[37, 90, 90], Operations: ['12+78=90']
Exploring Operation: 37+90=127, Resulting Numbers: [127]
127,37 equal: Goal Reached
Exploring Operation: 127-90=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[12, 78, 37, 90], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [37, 90, 66]
Generated Node #0,0: 37:[37, 90, 66] Operation: 78-12=66
Exploring Operation: 90-78=12, Resulting Numbers: [12, 37, 12]
Generated Node #0,1: 37:[12, 37, 12] Operation: 90-78=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[12, 37, 12], Operations: ['90-78=12']
Exploring Operation: 12+12=24, Resulting Numbers: [37, 24]
Generated Node #0,1,0: 37:[37, 24] Operation: 12+12=24
Exploring Operation: 12/12=1, Resulting Numbers: [37, 1]
Generated Node #0,1,1: 37:[37, 1] Operation: 12/12=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[37, 24], Operations: ['90-78=12', '12+12=24']
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,37 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[37, 1], Operations: ['90-78=12', '12/12=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[12, 78, 37, 90], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [12, 37, 12]
Generated Node #0,1: 37:[12, 37, 12] Operation: 90-78=12
Moving to Node #0,1
Current State: 37:[12, 37, 12], Operations: ['90-78=12']
Exploring Operation: 12/12=1, Resulting Numbers: [37, 1]
Generated Node #0,1,1: 37:[37, 1] Operation: 12/12=1
Moving to Node #0,1,1
Current State: 37:[37, 1], Operations: ['90-78=12', '12/12=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
71,
19,
80,
21
] | 62 | [
"21-19=2",
"71*2=142",
"142-80=62"
] | Current State: 62:[71, 19, 80, 21], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [71, 80, 2]
Generated Node #2: [71, 80, 2] from Operation: 21-19=2
Current State: 62:[71, 80, 2], Operations: ['21-19=2']
Exploring Operation: 71*2=142, Resulting Numbers: [80, 142]
Generated Node #3: [80, 142] from Operation: 71*2=142
Current State: 62:[80, 142], Operations: ['21-19=2', '71*2=142']
Exploring Operation: 142-80=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[71, 19, 80, 21], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [71, 21, 61]
Generated Node #0,0: 62:[71, 21, 61] Operation: 80-19=61
Exploring Operation: 21-19=2, Resulting Numbers: [71, 80, 2]
Generated Node #0,1: 62:[71, 80, 2] Operation: 21-19=2
Exploring Operation: 80-21=59, Resulting Numbers: [71, 19, 59]
Generated Node #0,2: 62:[71, 19, 59] Operation: 80-21=59
Exploring Operation: 80-71=9, Resulting Numbers: [19, 21, 9]
Generated Node #0,3: 62:[19, 21, 9] Operation: 80-71=9
Exploring Operation: 19+21=40, Resulting Numbers: [71, 80, 40]
Generated Node #0,4: 62:[71, 80, 40] Operation: 19+21=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[71, 21, 61], Operations: ['80-19=61']
Exploring Operation: 71+21=92, Resulting Numbers: [61, 92]
Generated Node #0,0,0: 62:[61, 92] Operation: 71+21=92
Exploring Operation: 71-61=10, Resulting Numbers: [21, 10]
Generated Node #0,0,1: 62:[21, 10] Operation: 71-61=10
Exploring Operation: 71-21=50, Resulting Numbers: [61, 50]
Generated Node #0,0,2: 62:[61, 50] Operation: 71-21=50
Exploring Operation: 21+61=82, Resulting Numbers: [71, 82]
Generated Node #0,0,3: 62:[71, 82] Operation: 21+61=82
Exploring Operation: 61-21=40, Resulting Numbers: [71, 40]
Generated Node #0,0,4: 62:[71, 40] Operation: 61-21=40
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[61, 50], Operations: ['80-19=61', '71-21=50']
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 61*50=3050, Resulting Numbers: [3050]
3050,62 unequal: No Solution
Exploring Operation: 61+50=111, Resulting Numbers: [111]
111,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[21, 10], Operations: ['80-19=61', '71-61=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,62 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 62:[71, 40], Operations: ['80-19=61', '61-21=40']
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,62 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 62:[71, 82], Operations: ['80-19=61', '21+61=82']
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,62 unequal: No Solution
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 71*82=5822, Resulting Numbers: [5822]
5822,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[61, 92], Operations: ['80-19=61', '71+21=92']
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 61*92=5612, Resulting Numbers: [5612]
5612,62 unequal: No Solution
Exploring Operation: 61+92=153, Resulting Numbers: [153]
153,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[71, 19, 59], Operations: ['80-21=59']
Exploring Operation: 59-19=40, Resulting Numbers: [71, 40]
Generated Node #0,2,0: 62:[71, 40] Operation: 59-19=40
Exploring Operation: 71-19=52, Resulting Numbers: [59, 52]
Generated Node #0,2,1: 62:[59, 52] Operation: 71-19=52
Exploring Operation: 71+19=90, Resulting Numbers: [59, 90]
Generated Node #0,2,2: 62:[59, 90] Operation: 71+19=90
Exploring Operation: 19+59=78, Resulting Numbers: [71, 78]
Generated Node #0,2,3: 62:[71, 78] Operation: 19+59=78
Exploring Operation: 71-59=12, Resulting Numbers: [19, 12]
Generated Node #0,2,4: 62:[19, 12] Operation: 71-59=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[59, 52], Operations: ['80-21=59', '71-19=52']
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 59+52=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 59*52=3068, Resulting Numbers: [3068]
3068,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[71, 40], Operations: ['80-21=59', '59-19=40']
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,62 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 62:[19, 12], Operations: ['80-21=59', '71-59=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,62 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 62:[71, 78], Operations: ['80-21=59', '19+59=78']
Exploring Operation: 71*78=5538, Resulting Numbers: [5538]
5538,62 unequal: No Solution
Exploring Operation: 71+78=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[59, 90], Operations: ['80-21=59', '71+19=90']
Exploring Operation: 59+90=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 59*90=5310, Resulting Numbers: [5310]
5310,62 unequal: No Solution
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[71, 80, 2], Operations: ['21-19=2']
Exploring Operation: 71-2=69, Resulting Numbers: [80, 69]
Generated Node #0,1,0: 62:[80, 69] Operation: 71-2=69
Exploring Operation: 80-2=78, Resulting Numbers: [71, 78]
Generated Node #0,1,1: 62:[71, 78] Operation: 80-2=78
Exploring Operation: 71+2=73, Resulting Numbers: [80, 73]
Generated Node #0,1,2: 62:[80, 73] Operation: 71+2=73
Exploring Operation: 80-71=9, Resulting Numbers: [2, 9]
Generated Node #0,1,3: 62:[2, 9] Operation: 80-71=9
Exploring Operation: 80/2=40, Resulting Numbers: [71, 40]
Generated Node #0,1,4: 62:[71, 40] Operation: 80/2=40
Moving to Node #0,1,3
Current State: 62:[2, 9], Operations: ['21-19=2', '80-71=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Moving to Node #0,1,4
Current State: 62:[71, 40], Operations: ['21-19=2', '80/2=40']
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,62 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[80, 69], Operations: ['21-19=2', '71-2=69']
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[71, 78], Operations: ['21-19=2', '80-2=78']
Exploring Operation: 71*78=5538, Resulting Numbers: [5538]
5538,62 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 71+78=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[80, 73], Operations: ['21-19=2', '71+2=73']
Exploring Operation: 80+73=153, Resulting Numbers: [153]
153,62 unequal: No Solution
Exploring Operation: 80*73=5840, Resulting Numbers: [5840]
5840,62 unequal: No Solution
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[19, 21, 9], Operations: ['80-71=9']
Exploring Operation: 21-19=2, Resulting Numbers: [9, 2]
Generated Node #0,3,0: 62:[9, 2] Operation: 21-19=2
Exploring Operation: 19+21=40, Resulting Numbers: [9, 40]
Generated Node #0,3,1: 62:[9, 40] Operation: 19+21=40
Exploring Operation: 21+9=30, Resulting Numbers: [19, 30]
Generated Node #0,3,2: 62:[19, 30] Operation: 21+9=30
Exploring Operation: 19+9=28, Resulting Numbers: [21, 28]
Generated Node #0,3,3: 62:[21, 28] Operation: 19+9=28
Exploring Operation: 19-9=10, Resulting Numbers: [21, 10]
Generated Node #0,3,4: 62:[21, 10] Operation: 19-9=10
Moving to Node #0,3,0
Current State: 62:[9, 2], Operations: ['80-71=9', '21-19=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,62 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Moving to Node #0,3,3
Current State: 62:[21, 28], Operations: ['80-71=9', '19+9=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 21*28=588, Resulting Numbers: [588]
588,62 unequal: No Solution
Moving to Node #0,3,2
Current State: 62:[19, 30], Operations: ['80-71=9', '21+9=30']
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 19*30=570, Resulting Numbers: [570]
570,62 unequal: No Solution
Exploring Operation: 19+30=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Moving to Node #0,3,1
Current State: 62:[9, 40], Operations: ['80-71=9', '19+21=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,62 unequal: No Solution
Moving to Node #0,3,4
Current State: 62:[21, 10], Operations: ['80-71=9', '19-9=10']
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,62 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 62:[71, 80, 40], Operations: ['19+21=40']
Exploring Operation: 71-40=31, Resulting Numbers: [80, 31]
Generated Node #0,4,0: 62:[80, 31] Operation: 71-40=31
Exploring Operation: 80-40=40, Resulting Numbers: [71, 40]
Generated Node #0,4,1: 62:[71, 40] Operation: 80-40=40
Exploring Operation: 71+40=111, Resulting Numbers: [80, 111]
Generated Node #0,4,2: 62:[80, 111] Operation: 71+40=111
Exploring Operation: 80-71=9, Resulting Numbers: [40, 9]
Generated Node #0,4,3: 62:[40, 9] Operation: 80-71=9
Exploring Operation: 80/40=2, Resulting Numbers: [71, 2]
Generated Node #0,4,4: 62:[71, 2] Operation: 80/40=2
Moving to Node #0,4,4
Current State: 62:[71, 2], Operations: ['19+21=40', '80/40=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,62 unequal: No Solution
Exploring Operation: 71*2=142, Resulting Numbers: [142]
142,62 unequal: No Solution
Moving to Node #0,4,3
Current State: 62:[40, 9], Operations: ['19+21=40', '80-71=9']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 40*9=360, Resulting Numbers: [360]
360,62 unequal: No Solution
Exploring Operation: 40+9=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Moving to Node #0,4,0
Current State: 62:[80, 31], Operations: ['19+21=40', '71-40=31']
Exploring Operation: 80+31=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Exploring Operation: 80*31=2480, Resulting Numbers: [2480]
2480,62 unequal: No Solution
Moving to Node #0,4,1
Current State: 62:[71, 40], Operations: ['19+21=40', '80-40=40']
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,62 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Moving to Node #0,4,2
Current State: 62:[80, 111], Operations: ['19+21=40', '71+40=111']
Exploring Operation: 111-80=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 80*111=8880, Resulting Numbers: [8880]
8880,62 unequal: No Solution
Exploring Operation: 80+111=191, Resulting Numbers: [191]
191,62 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 |
[
92,
13,
4,
18
] | 83 | [
"92+13=105",
"4+18=22",
"105-22=83"
] | Current State: 83:[92, 13, 4, 18], Operations: []
Exploring Operation: 92+13=105, Resulting Numbers: [4, 18, 105]
Generated Node #2: [4, 18, 105] from Operation: 92+13=105
Current State: 83:[4, 18, 105], Operations: ['92+13=105']
Exploring Operation: 4+18=22, Resulting Numbers: [105, 22]
Generated Node #3: [105, 22] from Operation: 4+18=22
Current State: 83:[105, 22], Operations: ['92+13=105', '4+18=22']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[92, 13, 4, 18], Operations: []
Exploring Operation: 4*18=72, Resulting Numbers: [92, 13, 72]
Generated Node #0,0: 83:[92, 13, 72] Operation: 4*18=72
Moving to Node #0,0
Current State: 83:[92, 13, 72], Operations: ['4*18=72']
Exploring Operation: 13+72=85, Resulting Numbers: [92, 85]
Generated Node #0,0,0: 83:[92, 85] Operation: 13+72=85
Moving to Node #0,0,0
Current State: 83:[92, 85], Operations: ['4*18=72', '13+72=85']
Exploring Operation: 92-85=7, Resulting Numbers: [7]
7,83 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
54,
72,
10,
45
] | 25 | [
"72-54=18",
"10*45=450",
"450/18=25"
] | Current State: 25:[54, 72, 10, 45], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [10, 45, 18]
Generated Node #2: [10, 45, 18] from Operation: 72-54=18
Current State: 25:[10, 45, 18], Operations: ['72-54=18']
Exploring Operation: 10*45=450, Resulting Numbers: [18, 450]
Generated Node #3: [18, 450] from Operation: 10*45=450
Current State: 25:[18, 450], Operations: ['72-54=18', '10*45=450']
Exploring Operation: 450/18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[54, 72, 10, 45], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [54, 10, 27]
Generated Node #0,0: 25:[54, 10, 27] Operation: 72-45=27
Exploring Operation: 72-54=18, Resulting Numbers: [10, 45, 18]
Generated Node #0,1: 25:[10, 45, 18] Operation: 72-54=18
Exploring Operation: 54-45=9, Resulting Numbers: [72, 10, 9]
Generated Node #0,2: 25:[72, 10, 9] Operation: 54-45=9
Moving to Node #0,1
Current State: 25:[10, 45, 18], Operations: ['72-54=18']
Exploring Operation: 10+18=28, Resulting Numbers: [45, 28]
Generated Node #0,1,0: 25:[45, 28] Operation: 10+18=28
Exploring Operation: 45-18=27, Resulting Numbers: [10, 27]
Generated Node #0,1,1: 25:[10, 27] Operation: 45-18=27
Exploring Operation: 45-10=35, Resulting Numbers: [18, 35]
Generated Node #0,1,2: 25:[18, 35] Operation: 45-10=35
Moving to Node #0,0
Current State: 25:[54, 10, 27], Operations: ['72-45=27']
Exploring Operation: 54-27=27, Resulting Numbers: [10, 27]
Generated Node #0,0,0: 25:[10, 27] Operation: 54-27=27
Exploring Operation: 54-10=44, Resulting Numbers: [27, 44]
Generated Node #0,0,1: 25:[27, 44] Operation: 54-10=44
Exploring Operation: 54/27=2, Resulting Numbers: [10, 2]
Generated Node #0,0,2: 25:[10, 2] Operation: 54/27=2
Moving to Node #0,2
Current State: 25:[72, 10, 9], Operations: ['54-45=9']
Exploring Operation: 72/9=8, Resulting Numbers: [10, 8]
Generated Node #0,2,0: 25:[10, 8] Operation: 72/9=8
Exploring Operation: 72-9=63, Resulting Numbers: [10, 63]
Generated Node #0,2,1: 25:[10, 63] Operation: 72-9=63
Exploring Operation: 72-10=62, Resulting Numbers: [9, 62]
Generated Node #0,2,2: 25:[9, 62] Operation: 72-10=62
Moving to Node #0,1,1
Current State: 25:[10, 27], Operations: ['72-54=18', '45-18=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,25 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,25 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[10, 27], Operations: ['72-45=27', '54-27=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,25 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[10, 8], Operations: ['54-45=9', '72/9=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[10, 2], Operations: ['72-45=27', '54/27=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[18, 35], Operations: ['72-54=18', '45-10=35']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,25 unequal: No Solution
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[27, 44], Operations: ['72-45=27', '54-10=44']
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[45, 28], Operations: ['72-54=18', '10+18=28']
Exploring Operation: 45-28=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 45*28=1260, Resulting Numbers: [1260]
1260,25 unequal: No Solution
Exploring Operation: 45+28=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[9, 62], Operations: ['54-45=9', '72-10=62']
Exploring Operation: 9*62=558, Resulting Numbers: [558]
558,25 unequal: No Solution
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[10, 63], Operations: ['54-45=9', '72-9=63']
Exploring Operation: 10*63=630, Resulting Numbers: [630]
630,25 unequal: No Solution
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 10+63=73, Resulting Numbers: [73]
73,25 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
82,
80,
84,
67
] | 54 | [
"84-82=2",
"67*2=134",
"134-80=54"
] | Current State: 54:[82, 80, 84, 67], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [80, 67, 2]
Generated Node #2: [80, 67, 2] from Operation: 84-82=2
Current State: 54:[80, 67, 2], Operations: ['84-82=2']
Exploring Operation: 67*2=134, Resulting Numbers: [80, 134]
Generated Node #3: [80, 134] from Operation: 67*2=134
Current State: 54:[80, 134], Operations: ['84-82=2', '67*2=134']
Exploring Operation: 134-80=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[82, 80, 84, 67], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [80, 67, 2]
Generated Node #0,0: 54:[80, 67, 2] Operation: 84-82=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[80, 67, 2], Operations: ['84-82=2']
Exploring Operation: 80-67=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 54:[2, 13] Operation: 80-67=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[2, 13], Operations: ['84-82=2', '80-67=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,54 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 |
[
19,
66,
24,
9
] | 100 | [
"19+66=85",
"24-9=15",
"85+15=100"
] | Current State: 100:[19, 66, 24, 9], Operations: []
Exploring Operation: 19+66=85, Resulting Numbers: [24, 9, 85]
Generated Node #2: [24, 9, 85] from Operation: 19+66=85
Current State: 100:[24, 9, 85], Operations: ['19+66=85']
Exploring Operation: 24-9=15, Resulting Numbers: [85, 15]
Generated Node #3: [85, 15] from Operation: 24-9=15
Current State: 100:[85, 15], Operations: ['19+66=85', '24-9=15']
Exploring Operation: 85+15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[19, 66, 24, 9], Operations: []
Exploring Operation: 19+66=85, Resulting Numbers: [24, 9, 85]
Generated Node #0,0: 100:[24, 9, 85] Operation: 19+66=85
Exploring Operation: 66+24=90, Resulting Numbers: [19, 9, 90]
Generated Node #0,1: 100:[19, 9, 90] Operation: 66+24=90
Exploring Operation: 66-19=47, Resulting Numbers: [24, 9, 47]
Generated Node #0,2: 100:[24, 9, 47] Operation: 66-19=47
Exploring Operation: 66-9=57, Resulting Numbers: [19, 24, 57]
Generated Node #0,3: 100:[19, 24, 57] Operation: 66-9=57
Exploring Operation: 66-24=42, Resulting Numbers: [19, 9, 42]
Generated Node #0,4: 100:[19, 9, 42] Operation: 66-24=42
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[24, 9, 47], Operations: ['66-19=47']
Exploring Operation: 24+9=33, Resulting Numbers: [47, 33]
Generated Node #0,2,0: 100:[47, 33] Operation: 24+9=33
Exploring Operation: 24-9=15, Resulting Numbers: [47, 15]
Generated Node #0,2,1: 100:[47, 15] Operation: 24-9=15
Exploring Operation: 47-9=38, Resulting Numbers: [24, 38]
Generated Node #0,2,2: 100:[24, 38] Operation: 47-9=38
Exploring Operation: 9+47=56, Resulting Numbers: [24, 56]
Generated Node #0,2,3: 100:[24, 56] Operation: 9+47=56
Exploring Operation: 47-24=23, Resulting Numbers: [9, 23]
Generated Node #0,2,4: 100:[9, 23] Operation: 47-24=23
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 100:[9, 23], Operations: ['66-19=47', '47-24=23']
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,100 unequal: No Solution
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
No 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: 100:[24, 56], Operations: ['66-19=47', '9+47=56']
Exploring Operation: 24*56=1344, Resulting Numbers: [1344]
1344,100 unequal: No Solution
Exploring Operation: 24+56=80, Resulting Numbers: [80]
80,100 unequal: No Solution
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,100 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 #0,2,1
Current State: 100:[47, 15], Operations: ['66-19=47', '24-9=15']
Exploring Operation: 47*15=705, Resulting Numbers: [705]
705,100 unequal: No Solution
Exploring Operation: 47+15=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,100 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 #0,2,0
Current State: 100:[47, 33], Operations: ['66-19=47', '24+9=33']
Exploring Operation: 47*33=1551, Resulting Numbers: [1551]
1551,100 unequal: No Solution
Exploring Operation: 47+33=80, Resulting Numbers: [80]
80,100 unequal: No Solution
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,100 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 #0,2,2
Current State: 100:[24, 38], Operations: ['66-19=47', '47-9=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,100 unequal: No Solution
Exploring Operation: 38-24=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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[19, 24, 57], Operations: ['66-9=57']
Exploring Operation: 57/19=3, Resulting Numbers: [24, 3]
Generated Node #0,3,0: 100:[24, 3] Operation: 57/19=3
Exploring Operation: 24-19=5, Resulting Numbers: [57, 5]
Generated Node #0,3,1: 100:[57, 5] Operation: 24-19=5
Exploring Operation: 19+24=43, Resulting Numbers: [57, 43]
Generated Node #0,3,2: 100:[57, 43] Operation: 19+24=43
Exploring Operation: 57-24=33, Resulting Numbers: [19, 33]
Generated Node #0,3,3: 100:[19, 33] Operation: 57-24=33
Exploring Operation: 57-19=38, Resulting Numbers: [24, 38]
Generated Node #0,3,4: 100:[24, 38] Operation: 57-19=38
Moving to Node #0,3,0
Current State: 100:[24, 3], Operations: ['66-9=57', '57/19=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,100 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,100 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,100 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[57, 5], Operations: ['66-9=57', '24-19=5']
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 57*5=285, Resulting Numbers: [285]
285,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[19, 33], Operations: ['66-9=57', '57-24=33']
Exploring Operation: 19+33=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 19*33=627, Resulting Numbers: [627]
627,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[24, 38], Operations: ['66-9=57', '57-19=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,100 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[57, 43], Operations: ['66-9=57', '19+24=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[19, 66, 24, 9], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [19, 24, 57]
Generated Node #0,3: 100:[19, 24, 57] Operation: 66-9=57
Moving to Node #0,3
Current State: 100:[19, 24, 57], Operations: ['66-9=57']
Exploring Operation: 19+24=43, Resulting Numbers: [57, 43]
Generated Node #0,3,2: 100:[57, 43] Operation: 19+24=43
Moving to Node #0,3,2
Current State: 100:[57, 43], Operations: ['66-9=57', '19+24=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_5 | sum_heuristic |
[
5,
82,
93,
84
] | 96 | [
"5+82=87",
"93-84=9",
"87+9=96"
] | Current State: 96:[5, 82, 93, 84], Operations: []
Exploring Operation: 5+82=87, Resulting Numbers: [93, 84, 87]
Generated Node #2: [93, 84, 87] from Operation: 5+82=87
Current State: 96:[93, 84, 87], Operations: ['5+82=87']
Exploring Operation: 93-84=9, Resulting Numbers: [87, 9]
Generated Node #3: [87, 9] from Operation: 93-84=9
Current State: 96:[87, 9], Operations: ['5+82=87', '93-84=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[5, 82, 93, 84], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [5, 82, 9]
Generated Node #0,0: 96:[5, 82, 9] Operation: 93-84=9
Exploring Operation: 93-82=11, Resulting Numbers: [5, 84, 11]
Generated Node #0,1: 96:[5, 84, 11] Operation: 93-82=11
Exploring Operation: 5+82=87, Resulting Numbers: [93, 84, 87]
Generated Node #0,2: 96:[93, 84, 87] Operation: 5+82=87
Exploring Operation: 84-82=2, Resulting Numbers: [5, 93, 2]
Generated Node #0,3: 96:[5, 93, 2] Operation: 84-82=2
Moving to Node #0,3
Current State: 96:[5, 93, 2], Operations: ['84-82=2']
Exploring Operation: 93+2=95, Resulting Numbers: [5, 95]
Generated Node #0,3,0: 96:[5, 95] Operation: 93+2=95
Exploring Operation: 5+2=7, Resulting Numbers: [93, 7]
Generated Node #0,3,1: 96:[93, 7] Operation: 5+2=7
Exploring Operation: 5+93=98, Resulting Numbers: [2, 98]
Generated Node #0,3,2: 96:[2, 98] Operation: 5+93=98
Exploring Operation: 5-2=3, Resulting Numbers: [93, 3]
Generated Node #0,3,3: 96:[93, 3] Operation: 5-2=3
Moving to Node #0,1
Current State: 96:[5, 84, 11], Operations: ['93-82=11']
Exploring Operation: 5+11=16, Resulting Numbers: [84, 16]
Generated Node #0,1,0: 96:[84, 16] Operation: 5+11=16
Exploring Operation: 5+84=89, Resulting Numbers: [11, 89]
Generated Node #0,1,1: 96:[11, 89] Operation: 5+84=89
Exploring Operation: 11-5=6, Resulting Numbers: [84, 6]
Generated Node #0,1,2: 96:[84, 6] Operation: 11-5=6
Exploring Operation: 84+11=95, Resulting Numbers: [5, 95]
Generated Node #0,1,3: 96:[5, 95] Operation: 84+11=95
Moving to Node #0,0
Current State: 96:[5, 82, 9], Operations: ['93-84=9']
Exploring Operation: 5+82=87, Resulting Numbers: [9, 87]
Generated Node #0,0,0: 96:[9, 87] Operation: 5+82=87
Exploring Operation: 5+9=14, Resulting Numbers: [82, 14]
Generated Node #0,0,1: 96:[82, 14] Operation: 5+9=14
Exploring Operation: 9-5=4, Resulting Numbers: [82, 4]
Generated Node #0,0,2: 96:[82, 4] Operation: 9-5=4
Exploring Operation: 82+9=91, Resulting Numbers: [5, 91]
Generated Node #0,0,3: 96:[5, 91] Operation: 82+9=91
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 96:[5, 91], Operations: ['93-84=9', '82+9=91']
Exploring Operation: 5*91=455, Resulting Numbers: [455]
455,96 unequal: No Solution
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,96 unequal: No Solution
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[5, 82, 93, 84], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [5, 82, 9]
Generated Node #0,0: 96:[5, 82, 9] Operation: 93-84=9
Moving to Node #0,0
Current State: 96:[5, 82, 9], Operations: ['93-84=9']
Exploring Operation: 82+9=91, Resulting Numbers: [5, 91]
Generated Node #0,0,3: 96:[5, 91] Operation: 82+9=91
Moving to Node #0,0,3
Current State: 96:[5, 91], Operations: ['93-84=9', '82+9=91']
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | mult_heuristic |
[
17,
65,
27,
39
] | 17 | [
"65-27=38",
"39-38=1",
"17*1=17"
] | Current State: 17:[17, 65, 27, 39], Operations: []
Exploring Operation: 65-27=38, Resulting Numbers: [17, 39, 38]
Generated Node #2: [17, 39, 38] from Operation: 65-27=38
Current State: 17:[17, 39, 38], Operations: ['65-27=38']
Exploring Operation: 39-38=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 39-38=1
Current State: 17:[17, 1], Operations: ['65-27=38', '39-38=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[17, 65, 27, 39], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [17, 27, 26]
Generated Node #0,0: 17:[17, 27, 26] Operation: 65-39=26
Exploring Operation: 65-27=38, Resulting Numbers: [17, 39, 38]
Generated Node #0,1: 17:[17, 39, 38] Operation: 65-27=38
Moving to Node #0,0
Current State: 17:[17, 27, 26], Operations: ['65-39=26']
Exploring Operation: 27-26=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 17:[17, 1] Operation: 27-26=1
Exploring Operation: 27-17=10, Resulting Numbers: [26, 10]
Generated Node #0,0,1: 17:[26, 10] Operation: 27-17=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[17, 1], Operations: ['65-39=26', '27-26=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[17, 65, 27, 39], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [17, 27, 26]
Generated Node #0,0: 17:[17, 27, 26] Operation: 65-39=26
Moving to Node #0,0
Current State: 17:[17, 27, 26], Operations: ['65-39=26']
Exploring Operation: 27-26=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 17:[17, 1] Operation: 27-26=1
Moving to Node #0,0,0
Current State: 17:[17, 1], Operations: ['65-39=26', '27-26=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
81,
24,
1,
3
] | 10 | [
"81+1=82",
"24*3=72",
"82-72=10"
] | Current State: 10:[81, 24, 1, 3], Operations: []
Exploring Operation: 81+1=82, Resulting Numbers: [24, 3, 82]
Generated Node #2: [24, 3, 82] from Operation: 81+1=82
Current State: 10:[24, 3, 82], Operations: ['81+1=82']
Exploring Operation: 24*3=72, Resulting Numbers: [82, 72]
Generated Node #3: [82, 72] from Operation: 24*3=72
Current State: 10:[82, 72], Operations: ['81+1=82', '24*3=72']
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[81, 24, 1, 3], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [81, 1, 8]
Generated Node #0,0: 10:[81, 1, 8] Operation: 24/3=8
Exploring Operation: 81/3=27, Resulting Numbers: [24, 1, 27]
Generated Node #0,1: 10:[24, 1, 27] Operation: 81/3=27
Exploring Operation: 81-24=57, Resulting Numbers: [1, 3, 57]
Generated Node #0,2: 10:[1, 3, 57] Operation: 81-24=57
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[24, 1, 27], Operations: ['81/3=27']
Exploring Operation: 27-24=3, Resulting Numbers: [1, 3]
Generated Node #0,1,0: 10:[1, 3] Operation: 27-24=3
Exploring Operation: 27-1=26, Resulting Numbers: [24, 26]
Generated Node #0,1,1: 10:[24, 26] Operation: 27-1=26
Exploring Operation: 24-1=23, Resulting Numbers: [27, 23]
Generated Node #0,1,2: 10:[27, 23] Operation: 24-1=23
Moving to Node #0,1,0
Current State: 10:[1, 3], Operations: ['81/3=27', '27-24=3']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,10 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[24, 26], Operations: ['81/3=27', '27-1=26']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,10 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[27, 23], Operations: ['81/3=27', '24-1=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,10 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,10 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[1, 3, 57], Operations: ['81-24=57']
Exploring Operation: 57/3=19, Resulting Numbers: [1, 19]
Generated Node #0,2,0: 10:[1, 19] Operation: 57/3=19
Exploring Operation: 3-1=2, Resulting Numbers: [57, 2]
Generated Node #0,2,1: 10:[57, 2] Operation: 3-1=2
Exploring Operation: 57-3=54, Resulting Numbers: [1, 54]
Generated Node #0,2,2: 10:[1, 54] Operation: 57-3=54
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 10:[1, 19], Operations: ['81-24=57', '57/3=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,10 unequal: No Solution
No 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: 10:[1, 54], Operations: ['81-24=57', '57-3=54']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,10 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,10 unequal: No Solution
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,10 unequal: No Solution
No 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: 10:[57, 2], Operations: ['81-24=57', '3-1=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,10 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[81, 1, 8], Operations: ['24/3=8']
Exploring Operation: 81-8=73, Resulting Numbers: [1, 73]
Generated Node #0,0,0: 10:[1, 73] Operation: 81-8=73
Exploring Operation: 81-1=80, Resulting Numbers: [8, 80]
Generated Node #0,0,1: 10:[8, 80] Operation: 81-1=80
Exploring Operation: 1+8=9, Resulting Numbers: [81, 9]
Generated Node #0,0,2: 10:[81, 9] Operation: 1+8=9
Moving to Node #0,0,0
Current State: 10:[1, 73], Operations: ['24/3=8', '81-8=73']
Exploring Operation: 1*73=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[8, 80], Operations: ['24/3=8', '81-1=80']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[81, 24, 1, 3], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [81, 1, 8]
Generated Node #0,0: 10:[81, 1, 8] Operation: 24/3=8
Moving to Node #0,0
Current State: 10:[81, 1, 8], Operations: ['24/3=8']
Exploring Operation: 81-1=80, Resulting Numbers: [8, 80]
Generated Node #0,0,1: 10:[8, 80] Operation: 81-1=80
Moving to Node #0,0,1
Current State: 10:[8, 80], Operations: ['24/3=8', '81-1=80']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_3 | mult_heuristic |
[
67,
92,
86,
39
] | 72 | [
"92-67=25",
"86-39=47",
"25+47=72"
] | Current State: 72:[67, 92, 86, 39], Operations: []
Exploring Operation: 92-67=25, Resulting Numbers: [86, 39, 25]
Generated Node #2: [86, 39, 25] from Operation: 92-67=25
Current State: 72:[86, 39, 25], Operations: ['92-67=25']
Exploring Operation: 86-39=47, Resulting Numbers: [25, 47]
Generated Node #3: [25, 47] from Operation: 86-39=47
Current State: 72:[25, 47], Operations: ['92-67=25', '86-39=47']
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[67, 92, 86, 39], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [67, 39, 6]
Generated Node #0,0: 72:[67, 39, 6] Operation: 92-86=6
Exploring Operation: 86-67=19, Resulting Numbers: [92, 39, 19]
Generated Node #0,1: 72:[92, 39, 19] Operation: 86-67=19
Exploring Operation: 92-67=25, Resulting Numbers: [86, 39, 25]
Generated Node #0,2: 72:[86, 39, 25] Operation: 92-67=25
Moving to Node #0,0
Current State: 72:[67, 39, 6], Operations: ['92-86=6']
Exploring Operation: 39-6=33, Resulting Numbers: [67, 33]
Generated Node #0,0,0: 72:[67, 33] Operation: 39-6=33
Exploring Operation: 67-39=28, Resulting Numbers: [6, 28]
Generated Node #0,0,1: 72:[6, 28] Operation: 67-39=28
Exploring Operation: 67+6=73, Resulting Numbers: [39, 73]
Generated Node #0,0,2: 72:[39, 73] Operation: 67+6=73
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[6, 28], Operations: ['92-86=6', '67-39=28']
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,72 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,72 unequal: No Solution
No 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: 72:[39, 73], Operations: ['92-86=6', '67+6=73']
Exploring Operation: 39*73=2847, Resulting Numbers: [2847]
2847,72 unequal: No Solution
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 39+73=112, Resulting Numbers: [112]
112,72 unequal: No Solution
No 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: 72:[67, 33], Operations: ['92-86=6', '39-6=33']
Exploring Operation: 67*33=2211, Resulting Numbers: [2211]
2211,72 unequal: No Solution
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Exploring Operation: 67+33=100, Resulting Numbers: [100]
100,72 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: 72:[86, 39, 25], Operations: ['92-67=25']
Exploring Operation: 39-25=14, Resulting Numbers: [86, 14]
Generated Node #0,2,0: 72:[86, 14] Operation: 39-25=14
Exploring Operation: 86-25=61, Resulting Numbers: [39, 61]
Generated Node #0,2,1: 72:[39, 61] Operation: 86-25=61
Exploring Operation: 86-39=47, Resulting Numbers: [25, 47]
Generated Node #0,2,2: 72:[25, 47] Operation: 86-39=47
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[25, 47], Operations: ['92-67=25', '86-39=47']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,72 unequal: No Solution
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[67, 92, 86, 39], Operations: []
Exploring Operation: 92-67=25, Resulting Numbers: [86, 39, 25]
Generated Node #0,2: 72:[86, 39, 25] Operation: 92-67=25
Moving to Node #0,2
Current State: 72:[86, 39, 25], Operations: ['92-67=25']
Exploring Operation: 86-39=47, Resulting Numbers: [25, 47]
Generated Node #0,2,2: 72:[25, 47] Operation: 86-39=47
Moving to Node #0,2,2
Current State: 72:[25, 47], Operations: ['92-67=25', '86-39=47']
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
65,
11,
66,
62
] | 33 | [
"65-62=3",
"11*3=33",
"66-33=33"
] | Current State: 33:[65, 11, 66, 62], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [11, 66, 3]
Generated Node #2: [11, 66, 3] from Operation: 65-62=3
Current State: 33:[11, 66, 3], Operations: ['65-62=3']
Exploring Operation: 11*3=33, Resulting Numbers: [66, 33]
Generated Node #3: [66, 33] from Operation: 11*3=33
Current State: 33:[66, 33], Operations: ['65-62=3', '11*3=33']
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[65, 11, 66, 62], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [11, 66, 3]
Generated Node #0,0: 33:[11, 66, 3] Operation: 65-62=3
Exploring Operation: 66-62=4, Resulting Numbers: [65, 11, 4]
Generated Node #0,1: 33:[65, 11, 4] Operation: 66-62=4
Exploring Operation: 66-65=1, Resulting Numbers: [11, 62, 1]
Generated Node #0,2: 33:[11, 62, 1] Operation: 66-65=1
Moving to Node #0,2
Current State: 33:[11, 62, 1], Operations: ['66-65=1']
Exploring Operation: 62-11=51, Resulting Numbers: [1, 51]
Generated Node #0,2,0: 33:[1, 51] Operation: 62-11=51
Exploring Operation: 11*1=11, Resulting Numbers: [62, 11]
Generated Node #0,2,1: 33:[62, 11] Operation: 11*1=11
Exploring Operation: 62-1=61, Resulting Numbers: [11, 61]
Generated Node #0,2,2: 33:[11, 61] Operation: 62-1=61
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[1, 51], Operations: ['66-65=1', '62-11=51']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,33 unequal: No Solution
Exploring Operation: 1*51=51, Resulting Numbers: [51]
51,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[11, 61], Operations: ['66-65=1', '62-1=61']
Exploring Operation: 11*61=671, Resulting Numbers: [671]
671,33 unequal: No Solution
Exploring Operation: 11+61=72, Resulting Numbers: [72]
72,33 unequal: No Solution
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[62, 11], Operations: ['66-65=1', '11*1=11']
Exploring Operation: 62*11=682, Resulting Numbers: [682]
682,33 unequal: No Solution
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 33:[11, 66, 3], Operations: ['65-62=3']
Exploring Operation: 66/11=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 33:[3, 6] Operation: 66/11=6
Exploring Operation: 66-11=55, Resulting Numbers: [3, 55]
Generated Node #0,0,1: 33:[3, 55] Operation: 66-11=55
Exploring Operation: 66/3=22, Resulting Numbers: [11, 22]
Generated Node #0,0,2: 33:[11, 22] Operation: 66/3=22
Moving to Node #0,1
Current State: 33:[65, 11, 4], Operations: ['66-62=4']
Exploring Operation: 65+4=69, Resulting Numbers: [11, 69]
Generated Node #0,1,0: 33:[11, 69] Operation: 65+4=69
Exploring Operation: 65-4=61, Resulting Numbers: [11, 61]
Generated Node #0,1,1: 33:[11, 61] Operation: 65-4=61
Exploring Operation: 65-11=54, Resulting Numbers: [4, 54]
Generated Node #0,1,2: 33:[4, 54] Operation: 65-11=54
Moving to Node #0,0,0
Current State: 33:[3, 6], Operations: ['65-62=3', '66/11=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[11, 22], Operations: ['65-62=3', '66/3=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[65, 11, 66, 62], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [11, 66, 3]
Generated Node #0,0: 33:[11, 66, 3] Operation: 65-62=3
Moving to Node #0,0
Current State: 33:[11, 66, 3], Operations: ['65-62=3']
Exploring Operation: 66/3=22, Resulting Numbers: [11, 22]
Generated Node #0,0,2: 33:[11, 22] Operation: 66/3=22
Moving to Node #0,0,2
Current State: 33:[11, 22], Operations: ['65-62=3', '66/3=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.974826 | hs_3 | sum_heuristic |
[
73,
3,
81,
51
] | 97 | [
"73+51=124",
"81/3=27",
"124-27=97"
] | Current State: 97:[73, 3, 81, 51], Operations: []
Exploring Operation: 73+51=124, Resulting Numbers: [3, 81, 124]
Generated Node #2: [3, 81, 124] from Operation: 73+51=124
Current State: 97:[3, 81, 124], Operations: ['73+51=124']
Exploring Operation: 81/3=27, Resulting Numbers: [124, 27]
Generated Node #3: [124, 27] from Operation: 81/3=27
Current State: 97:[124, 27], Operations: ['73+51=124', '81/3=27']
Exploring Operation: 124-27=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[73, 3, 81, 51], Operations: []
Exploring Operation: 3+81=84, Resulting Numbers: [73, 51, 84]
Generated Node #0,0: 97:[73, 51, 84] Operation: 3+81=84
Exploring Operation: 3+51=54, Resulting Numbers: [73, 81, 54]
Generated Node #0,1: 97:[73, 81, 54] Operation: 3+51=54
Exploring Operation: 73-3=70, Resulting Numbers: [81, 51, 70]
Generated Node #0,2: 97:[81, 51, 70] Operation: 73-3=70
Exploring Operation: 73+3=76, Resulting Numbers: [81, 51, 76]
Generated Node #0,3: 97:[81, 51, 76] Operation: 73+3=76
Moving to Node #0,0
Current State: 97:[73, 51, 84], Operations: ['3+81=84']
Exploring Operation: 51+84=135, Resulting Numbers: [73, 135]
Generated Node #0,0,0: 97:[73, 135] Operation: 51+84=135
Exploring Operation: 73+51=124, Resulting Numbers: [84, 124]
Generated Node #0,0,1: 97:[84, 124] Operation: 73+51=124
Exploring Operation: 73-51=22, Resulting Numbers: [84, 22]
Generated Node #0,0,2: 97:[84, 22] Operation: 73-51=22
Exploring Operation: 84-51=33, Resulting Numbers: [73, 33]
Generated Node #0,0,3: 97:[73, 33] Operation: 84-51=33
Moving to Node #0,3
Current State: 97:[81, 51, 76], Operations: ['73+3=76']
Exploring Operation: 81+51=132, Resulting Numbers: [76, 132]
Generated Node #0,3,0: 97:[76, 132] Operation: 81+51=132
Exploring Operation: 76-51=25, Resulting Numbers: [81, 25]
Generated Node #0,3,1: 97:[81, 25] Operation: 76-51=25
Exploring Operation: 81-51=30, Resulting Numbers: [76, 30]
Generated Node #0,3,2: 97:[76, 30] Operation: 81-51=30
Exploring Operation: 51+76=127, Resulting Numbers: [81, 127]
Generated Node #0,3,3: 97:[81, 127] Operation: 51+76=127
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[81, 127], Operations: ['73+3=76', '51+76=127']
Exploring Operation: 81*127=10287, Resulting Numbers: [10287]
10287,97 unequal: No Solution
Exploring Operation: 127-81=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 81+127=208, Resulting Numbers: [208]
208,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[76, 132], Operations: ['73+3=76', '81+51=132']
Exploring Operation: 76+132=208, Resulting Numbers: [208]
208,97 unequal: No Solution
Exploring Operation: 76*132=10032, Resulting Numbers: [10032]
10032,97 unequal: No Solution
Exploring Operation: 132-76=56, Resulting Numbers: [56]
56,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[81, 25], Operations: ['73+3=76', '76-51=25']
Exploring Operation: 81+25=106, Resulting Numbers: [106]
106,97 unequal: No Solution
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 81*25=2025, Resulting Numbers: [2025]
2025,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[76, 30], Operations: ['73+3=76', '81-51=30']
Exploring Operation: 76+30=106, Resulting Numbers: [106]
106,97 unequal: No Solution
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Exploring Operation: 76*30=2280, Resulting Numbers: [2280]
2280,97 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: 97:[73, 81, 54], Operations: ['3+51=54']
Exploring Operation: 81-54=27, Resulting Numbers: [73, 27]
Generated Node #0,1,0: 97:[73, 27] Operation: 81-54=27
Exploring Operation: 73+54=127, Resulting Numbers: [81, 127]
Generated Node #0,1,1: 97:[81, 127] Operation: 73+54=127
Exploring Operation: 81+54=135, Resulting Numbers: [73, 135]
Generated Node #0,1,2: 97:[73, 135] Operation: 81+54=135
Exploring Operation: 73-54=19, Resulting Numbers: [81, 19]
Generated Node #0,1,3: 97:[81, 19] Operation: 73-54=19
Moving to Node #0,2
Current State: 97:[81, 51, 70], Operations: ['73-3=70']
Exploring Operation: 70-51=19, Resulting Numbers: [81, 19]
Generated Node #0,2,0: 97:[81, 19] Operation: 70-51=19
Exploring Operation: 81-51=30, Resulting Numbers: [70, 30]
Generated Node #0,2,1: 97:[70, 30] Operation: 81-51=30
Exploring Operation: 51+70=121, Resulting Numbers: [81, 121]
Generated Node #0,2,2: 97:[81, 121] Operation: 51+70=121
Exploring Operation: 81+51=132, Resulting Numbers: [70, 132]
Generated Node #0,2,3: 97:[70, 132] Operation: 81+51=132
Moving to Node #0,0,1
Current State: 97:[84, 124], Operations: ['3+81=84', '73+51=124']
Exploring Operation: 84*124=10416, Resulting Numbers: [10416]
10416,97 unequal: No Solution
Exploring Operation: 124-84=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 84+124=208, Resulting Numbers: [208]
208,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[81, 121], Operations: ['73-3=70', '51+70=121']
Exploring Operation: 121-81=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 81+121=202, Resulting Numbers: [202]
202,97 unequal: No Solution
Exploring Operation: 81*121=9801, Resulting Numbers: [9801]
9801,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[81, 127], Operations: ['3+51=54', '73+54=127']
Exploring Operation: 81*127=10287, Resulting Numbers: [10287]
10287,97 unequal: No Solution
Exploring Operation: 81+127=208, Resulting Numbers: [208]
208,97 unequal: No Solution
Exploring Operation: 127-81=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[73, 135], Operations: ['3+51=54', '81+54=135']
Exploring Operation: 73*135=9855, Resulting Numbers: [9855]
9855,97 unequal: No Solution
Exploring Operation: 135-73=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Exploring Operation: 73+135=208, Resulting Numbers: [208]
208,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[73, 135], Operations: ['3+81=84', '51+84=135']
Exploring Operation: 73+135=208, Resulting Numbers: [208]
208,97 unequal: No Solution
Exploring Operation: 135-73=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Exploring Operation: 73*135=9855, Resulting Numbers: [9855]
9855,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[70, 132], Operations: ['73-3=70', '81+51=132']
Exploring Operation: 70*132=9240, Resulting Numbers: [9240]
9240,97 unequal: No Solution
Exploring Operation: 132-70=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Exploring Operation: 70+132=202, Resulting Numbers: [202]
202,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[84, 22], Operations: ['3+81=84', '73-51=22']
Exploring Operation: 84*22=1848, Resulting Numbers: [1848]
1848,97 unequal: No Solution
Exploring Operation: 84+22=106, Resulting Numbers: [106]
106,97 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[73, 33], Operations: ['3+81=84', '84-51=33']
Exploring Operation: 73-33=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 73+33=106, Resulting Numbers: [106]
106,97 unequal: No Solution
Exploring Operation: 73*33=2409, Resulting Numbers: [2409]
2409,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[81, 19], Operations: ['73-3=70', '70-51=19']
Exploring Operation: 81*19=1539, Resulting Numbers: [1539]
1539,97 unequal: No Solution
Exploring Operation: 81+19=100, Resulting Numbers: [100]
100,97 unequal: No Solution
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[73, 27], Operations: ['3+51=54', '81-54=27']
Exploring Operation: 73+27=100, Resulting Numbers: [100]
100,97 unequal: No Solution
Exploring Operation: 73*27=1971, Resulting Numbers: [1971]
1971,97 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[70, 30], Operations: ['73-3=70', '81-51=30']
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 70*30=2100, Resulting Numbers: [2100]
2100,97 unequal: No Solution
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[81, 19], Operations: ['3+51=54', '73-54=19']
Exploring Operation: 81*19=1539, Resulting Numbers: [1539]
1539,97 unequal: No Solution
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Exploring Operation: 81+19=100, Resulting Numbers: [100]
100,97 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
30,
67,
64,
74
] | 70 | [
"74-64=10",
"30/10=3",
"67+3=70"
] | Current State: 70:[30, 67, 64, 74], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [30, 67, 10]
Generated Node #2: [30, 67, 10] from Operation: 74-64=10
Current State: 70:[30, 67, 10], Operations: ['74-64=10']
Exploring Operation: 30/10=3, Resulting Numbers: [67, 3]
Generated Node #3: [67, 3] from Operation: 30/10=3
Current State: 70:[67, 3], Operations: ['74-64=10', '30/10=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[30, 67, 64, 74], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [30, 67, 10]
Generated Node #0,0: 70:[30, 67, 10] Operation: 74-64=10
Exploring Operation: 64-30=34, Resulting Numbers: [67, 74, 34]
Generated Node #0,1: 70:[67, 74, 34] Operation: 64-30=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[30, 67, 10], Operations: ['74-64=10']
Exploring Operation: 30/10=3, Resulting Numbers: [67, 3]
Generated Node #0,0,0: 70:[67, 3] Operation: 30/10=3
Exploring Operation: 67-30=37, Resulting Numbers: [10, 37]
Generated Node #0,0,1: 70:[10, 37] Operation: 67-30=37
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 70:[10, 37], Operations: ['74-64=10', '67-30=37']
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,70 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[67, 3], Operations: ['74-64=10', '30/10=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,70 unequal: No Solution
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[30, 67, 64, 74], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [30, 67, 10]
Generated Node #0,0: 70:[30, 67, 10] Operation: 74-64=10
Moving to Node #0,0
Current State: 70:[30, 67, 10], Operations: ['74-64=10']
Exploring Operation: 30/10=3, Resulting Numbers: [67, 3]
Generated Node #0,0,0: 70:[67, 3] Operation: 30/10=3
Moving to Node #0,0,0
Current State: 70:[67, 3], Operations: ['74-64=10', '30/10=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
18,
20,
81,
12
] | 63 | [
"20-12=8",
"18*8=144",
"144-81=63"
] | Current State: 63:[18, 20, 81, 12], Operations: []
Exploring Operation: 20-12=8, Resulting Numbers: [18, 81, 8]
Generated Node #2: [18, 81, 8] from Operation: 20-12=8
Current State: 63:[18, 81, 8], Operations: ['20-12=8']
Exploring Operation: 18*8=144, Resulting Numbers: [81, 144]
Generated Node #3: [81, 144] from Operation: 18*8=144
Current State: 63:[81, 144], Operations: ['20-12=8', '18*8=144']
Exploring Operation: 144-81=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[18, 20, 81, 12], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [20, 12, 63]
Generated Node #0,0: 63:[20, 12, 63] Operation: 81-18=63
Exploring Operation: 81-20=61, Resulting Numbers: [18, 12, 61]
Generated Node #0,1: 63:[18, 12, 61] Operation: 81-20=61
Moving to Node #0,0
Current State: 63:[20, 12, 63], Operations: ['81-18=63']
Exploring Operation: 20+12=32, Resulting Numbers: [63, 32]
Generated Node #0,0,0: 63:[63, 32] Operation: 20+12=32
Exploring Operation: 20-12=8, Resulting Numbers: [63, 8]
Generated Node #0,0,1: 63:[63, 8] Operation: 20-12=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[63, 8], Operations: ['81-18=63', '20-12=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,63 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,63 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:[63, 32], Operations: ['81-18=63', '20+12=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,63 unequal: No Solution
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,63 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:[18, 12, 61], Operations: ['81-20=61']
Exploring Operation: 18+12=30, Resulting Numbers: [61, 30]
Generated Node #0,1,0: 63:[61, 30] Operation: 18+12=30
Exploring Operation: 18-12=6, Resulting Numbers: [61, 6]
Generated Node #0,1,1: 63:[61, 6] Operation: 18-12=6
Moving to Node #0,1,1
Current State: 63:[61, 6], Operations: ['81-20=61', '18-12=6']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,63 unequal: No Solution
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[61, 30], Operations: ['81-20=61', '18+12=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,63 unequal: No Solution
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,63 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
54,
2,
84,
57
] | 33 | [
"54*2=108",
"84+57=141",
"141-108=33"
] | Current State: 33:[54, 2, 84, 57], Operations: []
Exploring Operation: 54*2=108, Resulting Numbers: [84, 57, 108]
Generated Node #2: [84, 57, 108] from Operation: 54*2=108
Current State: 33:[84, 57, 108], Operations: ['54*2=108']
Exploring Operation: 84+57=141, Resulting Numbers: [108, 141]
Generated Node #3: [108, 141] from Operation: 84+57=141
Current State: 33:[108, 141], Operations: ['54*2=108', '84+57=141']
Exploring Operation: 141-108=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[54, 2, 84, 57], Operations: []
Exploring Operation: 84-57=27, Resulting Numbers: [54, 2, 27]
Generated Node #0,0: 33:[54, 2, 27] Operation: 84-57=27
Exploring Operation: 57-54=3, Resulting Numbers: [2, 84, 3]
Generated Node #0,1: 33:[2, 84, 3] Operation: 57-54=3
Exploring Operation: 84-54=30, Resulting Numbers: [2, 57, 30]
Generated Node #0,2: 33:[2, 57, 30] Operation: 84-54=30
Moving to Node #0,0
Current State: 33:[54, 2, 27], Operations: ['84-57=27']
Exploring Operation: 54/27=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 33:[2, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [2, 27]
Generated Node #0,0,1: 33:[2, 27] Operation: 54-27=27
Exploring Operation: 54/2=27, Resulting Numbers: [27, 27]
Generated Node #0,0,2: 33:[27, 27] Operation: 54/2=27
Moving to Node #0,2
Current State: 33:[2, 57, 30], Operations: ['84-54=30']
Exploring Operation: 57-2=55, Resulting Numbers: [30, 55]
Generated Node #0,2,0: 33:[30, 55] Operation: 57-2=55
Exploring Operation: 2+30=32, Resulting Numbers: [57, 32]
Generated Node #0,2,1: 33:[57, 32] Operation: 2+30=32
Exploring Operation: 57-30=27, Resulting Numbers: [2, 27]
Generated Node #0,2,2: 33:[2, 27] Operation: 57-30=27
Moving to Node #0,1
Current State: 33:[2, 84, 3], Operations: ['57-54=3']
Exploring Operation: 84/2=42, Resulting Numbers: [3, 42]
Generated Node #0,1,0: 33:[3, 42] Operation: 84/2=42
Exploring Operation: 84-2=82, Resulting Numbers: [3, 82]
Generated Node #0,1,1: 33:[3, 82] Operation: 84-2=82
Exploring Operation: 84/3=28, Resulting Numbers: [2, 28]
Generated Node #0,1,2: 33:[2, 28] Operation: 84/3=28
Moving to Node #0,0,0
Current State: 33:[2, 2], Operations: ['84-57=27', '54/27=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[2, 28], Operations: ['57-54=3', '84/3=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[2, 27], Operations: ['84-57=27', '54-27=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[2, 27], Operations: ['84-54=30', '57-30=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[3, 42], Operations: ['57-54=3', '84/2=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[27, 27], Operations: ['84-57=27', '54/2=27']
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 27/27=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 27-27=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[57, 32], Operations: ['84-54=30', '2+30=32']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,33 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[30, 55], Operations: ['84-54=30', '57-2=55']
Exploring Operation: 30+55=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 30*55=1650, Resulting Numbers: [1650]
1650,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[3, 82], Operations: ['57-54=3', '84-2=82']
Exploring Operation: 3*82=246, Resulting Numbers: [246]
246,33 unequal: No Solution
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,33 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
48,
89,
53,
67
] | 79 | [
"89-48=41",
"53+67=120",
"120-41=79"
] | Current State: 79:[48, 89, 53, 67], Operations: []
Exploring Operation: 89-48=41, Resulting Numbers: [53, 67, 41]
Generated Node #2: [53, 67, 41] from Operation: 89-48=41
Current State: 79:[53, 67, 41], Operations: ['89-48=41']
Exploring Operation: 53+67=120, Resulting Numbers: [41, 120]
Generated Node #3: [41, 120] from Operation: 53+67=120
Current State: 79:[41, 120], Operations: ['89-48=41', '53+67=120']
Exploring Operation: 120-41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[48, 89, 53, 67], Operations: []
Exploring Operation: 48+53=101, Resulting Numbers: [89, 67, 101]
Generated Node #0,0: 79:[89, 67, 101] Operation: 48+53=101
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[89, 67, 101], Operations: ['48+53=101']
Exploring Operation: 101-67=34, Resulting Numbers: [89, 34]
Generated Node #0,0,0: 79:[89, 34] Operation: 101-67=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[89, 34], Operations: ['48+53=101', '101-67=34']
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,79 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
55,
72,
33,
15
] | 31 | [
"72-55=17",
"33+15=48",
"48-17=31"
] | Current State: 31:[55, 72, 33, 15], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [33, 15, 17]
Generated Node #2: [33, 15, 17] from Operation: 72-55=17
Current State: 31:[33, 15, 17], Operations: ['72-55=17']
Exploring Operation: 33+15=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 33+15=48
Current State: 31:[17, 48], Operations: ['72-55=17', '33+15=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[55, 72, 33, 15], Operations: []
Exploring Operation: 72-15=57, Resulting Numbers: [55, 33, 57]
Generated Node #0,0: 31:[55, 33, 57] Operation: 72-15=57
Exploring Operation: 55-33=22, Resulting Numbers: [72, 15, 22]
Generated Node #0,1: 31:[72, 15, 22] Operation: 55-33=22
Exploring Operation: 55-15=40, Resulting Numbers: [72, 33, 40]
Generated Node #0,2: 31:[72, 33, 40] Operation: 55-15=40
Exploring Operation: 72-33=39, Resulting Numbers: [55, 15, 39]
Generated Node #0,3: 31:[55, 15, 39] Operation: 72-33=39
Exploring Operation: 72-55=17, Resulting Numbers: [33, 15, 17]
Generated Node #0,4: 31:[33, 15, 17] Operation: 72-55=17
Moving to Node #0,4
Current State: 31:[33, 15, 17], Operations: ['72-55=17']
Exploring Operation: 17-15=2, Resulting Numbers: [33, 2]
Generated Node #0,4,0: 31:[33, 2] Operation: 17-15=2
Exploring Operation: 33-17=16, Resulting Numbers: [15, 16]
Generated Node #0,4,1: 31:[15, 16] Operation: 33-17=16
Exploring Operation: 15+17=32, Resulting Numbers: [33, 32]
Generated Node #0,4,2: 31:[33, 32] Operation: 15+17=32
Exploring Operation: 33-15=18, Resulting Numbers: [17, 18]
Generated Node #0,4,3: 31:[17, 18] Operation: 33-15=18
Exploring Operation: 33+15=48, Resulting Numbers: [17, 48]
Generated Node #0,4,4: 31:[17, 48] Operation: 33+15=48
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 31:[33, 32], Operations: ['72-55=17', '15+17=32']
Exploring Operation: 33*32=1056, Resulting Numbers: [1056]
1056,31 unequal: No Solution
Exploring Operation: 33+32=65, Resulting Numbers: [65]
65,31 unequal: No Solution
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 31:[17, 18], Operations: ['72-55=17', '33-15=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 17*18=306, Resulting Numbers: [306]
306,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 31:[33, 2], Operations: ['72-55=17', '17-15=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[55, 72, 33, 15], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [33, 15, 17]
Generated Node #0,4: 31:[33, 15, 17] Operation: 72-55=17
Moving to Node #0,4
Current State: 31:[33, 15, 17], Operations: ['72-55=17']
Exploring Operation: 17-15=2, Resulting Numbers: [33, 2]
Generated Node #0,4,0: 31:[33, 2] Operation: 17-15=2
Moving to Node #0,4,0
Current State: 31:[33, 2], Operations: ['72-55=17', '17-15=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
39,
18,
40,
9
] | 28 | [
"39-18=21",
"40+9=49",
"49-21=28"
] | Current State: 28:[39, 18, 40, 9], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [40, 9, 21]
Generated Node #2: [40, 9, 21] from Operation: 39-18=21
Current State: 28:[40, 9, 21], Operations: ['39-18=21']
Exploring Operation: 40+9=49, Resulting Numbers: [21, 49]
Generated Node #3: [21, 49] from Operation: 40+9=49
Current State: 28:[21, 49], Operations: ['39-18=21', '40+9=49']
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[39, 18, 40, 9], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [40, 9, 21]
Generated Node #0,0: 28:[40, 9, 21] Operation: 39-18=21
Exploring Operation: 40-9=31, Resulting Numbers: [39, 18, 31]
Generated Node #0,1: 28:[39, 18, 31] Operation: 40-9=31
Exploring Operation: 40-39=1, Resulting Numbers: [18, 9, 1]
Generated Node #0,2: 28:[18, 9, 1] Operation: 40-39=1
Exploring Operation: 39-9=30, Resulting Numbers: [18, 40, 30]
Generated Node #0,3: 28:[18, 40, 30] Operation: 39-9=30
Exploring Operation: 40-18=22, Resulting Numbers: [39, 9, 22]
Generated Node #0,4: 28:[39, 9, 22] Operation: 40-18=22
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[18, 9, 1], Operations: ['40-39=1']
Exploring Operation: 18/9=2, Resulting Numbers: [1, 2]
Generated Node #0,2,0: 28:[1, 2] Operation: 18/9=2
Exploring Operation: 18-1=17, Resulting Numbers: [9, 17]
Generated Node #0,2,1: 28:[9, 17] Operation: 18-1=17
Exploring Operation: 18-9=9, Resulting Numbers: [1, 9]
Generated Node #0,2,2: 28:[1, 9] Operation: 18-9=9
Exploring Operation: 18+9=27, Resulting Numbers: [1, 27]
Generated Node #0,2,3: 28:[1, 27] Operation: 18+9=27
Exploring Operation: 9-1=8, Resulting Numbers: [18, 8]
Generated Node #0,2,4: 28:[18, 8] Operation: 9-1=8
Moving to Node #0,2,0
Current State: 28:[1, 2], Operations: ['40-39=1', '18/9=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Moving to Node #0,2,3
Current State: 28:[1, 27], Operations: ['40-39=1', '18+9=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[39, 18, 40, 9], Operations: []
Exploring Operation: 40-39=1, Resulting Numbers: [18, 9, 1]
Generated Node #0,2: 28:[18, 9, 1] Operation: 40-39=1
Moving to Node #0,2
Current State: 28:[18, 9, 1], Operations: ['40-39=1']
Exploring Operation: 18+9=27, Resulting Numbers: [1, 27]
Generated Node #0,2,3: 28:[1, 27] Operation: 18+9=27
Moving to Node #0,2,3
Current State: 28:[1, 27], Operations: ['40-39=1', '18+9=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
3,
19,
51,
11
] | 13 | [
"51/3=17",
"19+11=30",
"30-17=13"
] | Current State: 13:[3, 19, 51, 11], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [19, 11, 17]
Generated Node #2: [19, 11, 17] from Operation: 51/3=17
Current State: 13:[19, 11, 17], Operations: ['51/3=17']
Exploring Operation: 19+11=30, Resulting Numbers: [17, 30]
Generated Node #3: [17, 30] from Operation: 19+11=30
Current State: 13:[17, 30], Operations: ['51/3=17', '19+11=30']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[3, 19, 51, 11], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [19, 11, 17]
Generated Node #0,0: 13:[19, 11, 17] Operation: 51/3=17
Exploring Operation: 51-19=32, Resulting Numbers: [3, 11, 32]
Generated Node #0,1: 13:[3, 11, 32] Operation: 51-19=32
Moving to Node #0,0
Current State: 13:[19, 11, 17], Operations: ['51/3=17']
Exploring Operation: 19-17=2, Resulting Numbers: [11, 2]
Generated Node #0,0,0: 13:[11, 2] Operation: 19-17=2
Exploring Operation: 19-11=8, Resulting Numbers: [17, 8]
Generated Node #0,0,1: 13:[17, 8] Operation: 19-11=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[17, 8], Operations: ['51/3=17', '19-11=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,13 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 #0,0,0
Current State: 13:[11, 2], Operations: ['51/3=17', '19-17=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[3, 19, 51, 11], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [19, 11, 17]
Generated Node #0,0: 13:[19, 11, 17] Operation: 51/3=17
Moving to Node #0,0
Current State: 13:[19, 11, 17], Operations: ['51/3=17']
Exploring Operation: 19-17=2, Resulting Numbers: [11, 2]
Generated Node #0,0,0: 13:[11, 2] Operation: 19-17=2
Moving to Node #0,0,0
Current State: 13:[11, 2], Operations: ['51/3=17', '19-17=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
18,
36,
18,
33
] | 49 | [
"36/18=2",
"18+33=51",
"51-2=49"
] | Current State: 49:[18, 36, 18, 33], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [33, 2]
Generated Node #2: [33, 2] from Operation: 36/18=2
Current State: 49:[33, 2], Operations: ['36/18=2']
Exploring Operation: 18+33=51, Resulting Numbers: [2, 51]
Generated Node #3: [2, 51] from Operation: 18+33=51
Current State: 49:[2, 51], Operations: ['36/18=2', '18+33=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[18, 36, 18, 33], Operations: []
Exploring Operation: 18+33=51, Resulting Numbers: [36, 18, 51]
Generated Node #0,0: 49:[36, 18, 51] Operation: 18+33=51
Exploring Operation: 36-33=3, Resulting Numbers: [18, 18, 3]
Generated Node #0,1: 49:[18, 18, 3] Operation: 36-33=3
Moving to Node #0,0
Current State: 49:[36, 18, 51], Operations: ['18+33=51']
Exploring Operation: 36+18=54, Resulting Numbers: [51, 54]
Generated Node #0,0,0: 49:[51, 54] Operation: 36+18=54
Exploring Operation: 36/18=2, Resulting Numbers: [51, 2]
Generated Node #0,0,1: 49:[51, 2] Operation: 36/18=2
Moving to Node #0,1
Current State: 49:[18, 18, 3], Operations: ['36-33=3']
Exploring Operation: 18/18=1, Resulting Numbers: [3, 1]
Generated Node #0,1,0: 49:[3, 1] Operation: 18/18=1
Exploring Operation: 18-18=0, Resulting Numbers: [3, 0]
Generated Node #0,1,1: 49:[3, 0] Operation: 18-18=0
Moving to Node #0,0,0
Current State: 49:[51, 54], Operations: ['18+33=51', '36+18=54']
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 51+54=105, Resulting Numbers: [105]
105,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[51, 2], Operations: ['18+33=51', '36/18=2']
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[18, 36, 18, 33], Operations: []
Exploring Operation: 18+33=51, Resulting Numbers: [36, 18, 51]
Generated Node #0,0: 49:[36, 18, 51] Operation: 18+33=51
Moving to Node #0,0
Current State: 49:[36, 18, 51], Operations: ['18+33=51']
Exploring Operation: 36/18=2, Resulting Numbers: [51, 2]
Generated Node #0,0,1: 49:[51, 2] Operation: 36/18=2
Moving to Node #0,0,1
Current State: 49:[51, 2], Operations: ['18+33=51', '36/18=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.987847 | hs_2 | mult_heuristic |
[
98,
67,
74,
69
] | 86 | [
"98+74=172",
"69-67=2",
"172/2=86"
] | Current State: 86:[98, 67, 74, 69], Operations: []
Exploring Operation: 98+74=172, Resulting Numbers: [67, 69, 172]
Generated Node #2: [67, 69, 172] from Operation: 98+74=172
Current State: 86:[67, 69, 172], Operations: ['98+74=172']
Exploring Operation: 69-67=2, Resulting Numbers: [172, 2]
Generated Node #3: [172, 2] from Operation: 69-67=2
Current State: 86:[172, 2], Operations: ['98+74=172', '69-67=2']
Exploring Operation: 172/2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[98, 67, 74, 69], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [98, 67, 5]
Generated Node #0,0: 86:[98, 67, 5] Operation: 74-69=5
Exploring Operation: 69-67=2, Resulting Numbers: [98, 74, 2]
Generated Node #0,1: 86:[98, 74, 2] Operation: 69-67=2
Exploring Operation: 74-67=7, Resulting Numbers: [98, 69, 7]
Generated Node #0,2: 86:[98, 69, 7] Operation: 74-67=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[98, 74, 2], Operations: ['69-67=2']
Exploring Operation: 98-74=24, Resulting Numbers: [2, 24]
Generated Node #0,1,0: 86:[2, 24] Operation: 98-74=24
Exploring Operation: 98/2=49, Resulting Numbers: [74, 49]
Generated Node #0,1,1: 86:[74, 49] Operation: 98/2=49
Exploring Operation: 74/2=37, Resulting Numbers: [98, 37]
Generated Node #0,1,2: 86:[98, 37] Operation: 74/2=37
Moving to Node #0,1,1
Current State: 86:[74, 49], Operations: ['69-67=2', '98/2=49']
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,86 unequal: No Solution
Exploring Operation: 74+49=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 74*49=3626, Resulting Numbers: [3626]
3626,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[98, 37], Operations: ['69-67=2', '74/2=37']
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 98+37=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 98*37=3626, Resulting Numbers: [3626]
3626,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[2, 24], Operations: ['69-67=2', '98-74=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,86 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[98, 67, 5], Operations: ['74-69=5']
Exploring Operation: 98-67=31, Resulting Numbers: [5, 31]
Generated Node #0,0,0: 86:[5, 31] Operation: 98-67=31
Exploring Operation: 67+5=72, Resulting Numbers: [98, 72]
Generated Node #0,0,1: 86:[98, 72] Operation: 67+5=72
Exploring Operation: 98-5=93, Resulting Numbers: [67, 93]
Generated Node #0,0,2: 86:[67, 93] Operation: 98-5=93
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[5, 31], Operations: ['74-69=5', '98-67=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,86 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[98, 72], Operations: ['74-69=5', '67+5=72']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 98*72=7056, Resulting Numbers: [7056]
7056,86 unequal: No Solution
Exploring Operation: 98+72=170, Resulting Numbers: [170]
170,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 86:[67, 93], Operations: ['74-69=5', '98-5=93']
Exploring Operation: 67+93=160, Resulting Numbers: [160]
160,86 unequal: No Solution
Exploring Operation: 67*93=6231, Resulting Numbers: [6231]
6231,86 unequal: No Solution
Exploring Operation: 93-67=26, Resulting Numbers: [26]
26,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[98, 69, 7], Operations: ['74-67=7']
Exploring Operation: 69+7=76, Resulting Numbers: [98, 76]
Generated Node #0,2,0: 86:[98, 76] Operation: 69+7=76
Exploring Operation: 98-69=29, Resulting Numbers: [7, 29]
Generated Node #0,2,1: 86:[7, 29] Operation: 98-69=29
Exploring Operation: 98-7=91, Resulting Numbers: [69, 91]
Generated Node #0,2,2: 86:[69, 91] Operation: 98-7=91
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[7, 29], Operations: ['74-67=7', '98-69=29']
Exploring Operation: 7*29=203, Resulting Numbers: [203]
203,86 unequal: No Solution
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,86 unequal: No Solution
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 86:[98, 76], Operations: ['74-67=7', '69+7=76']
Exploring Operation: 98+76=174, Resulting Numbers: [174]
174,86 unequal: No Solution
Exploring Operation: 98*76=7448, Resulting Numbers: [7448]
7448,86 unequal: No Solution
Exploring Operation: 98-76=22, Resulting Numbers: [22]
22,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 86:[69, 91], Operations: ['74-67=7', '98-7=91']
Exploring Operation: 91-69=22, Resulting Numbers: [22]
22,86 unequal: No Solution
Exploring Operation: 69*91=6279, Resulting Numbers: [6279]
6279,86 unequal: No Solution
Exploring Operation: 69+91=160, Resulting Numbers: [160]
160,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
34,
37,
80,
65
] | 77 | [
"37+65=102",
"102/34=3",
"80-3=77"
] | Current State: 77:[34, 37, 80, 65], Operations: []
Exploring Operation: 37+65=102, Resulting Numbers: [34, 80, 102]
Generated Node #2: [34, 80, 102] from Operation: 37+65=102
Current State: 77:[34, 80, 102], Operations: ['37+65=102']
Exploring Operation: 102/34=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 102/34=3
Current State: 77:[80, 3], Operations: ['37+65=102', '102/34=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[34, 37, 80, 65], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [80, 65, 3]
Generated Node #0,0: 77:[80, 65, 3] Operation: 37-34=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[80, 65, 3], Operations: ['37-34=3']
Exploring Operation: 80-65=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 77:[3, 15] Operation: 80-65=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[3, 15], Operations: ['37-34=3', '80-65=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
80,
73,
6
] | 97 | [
"15*6=90",
"80-73=7",
"90+7=97"
] | Current State: 97:[15, 80, 73, 6], Operations: []
Exploring Operation: 15*6=90, Resulting Numbers: [80, 73, 90]
Generated Node #2: [80, 73, 90] from Operation: 15*6=90
Current State: 97:[80, 73, 90], Operations: ['15*6=90']
Exploring Operation: 80-73=7, Resulting Numbers: [90, 7]
Generated Node #3: [90, 7] from Operation: 80-73=7
Current State: 97:[90, 7], Operations: ['15*6=90', '80-73=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[15, 80, 73, 6], Operations: []
Exploring Operation: 15+80=95, Resulting Numbers: [73, 6, 95]
Generated Node #0,0: 97:[73, 6, 95] Operation: 15+80=95
Exploring Operation: 15+73=88, Resulting Numbers: [80, 6, 88]
Generated Node #0,1: 97:[80, 6, 88] Operation: 15+73=88
Exploring Operation: 15*6=90, Resulting Numbers: [80, 73, 90]
Generated Node #0,2: 97:[80, 73, 90] Operation: 15*6=90
Moving to Node #0,2
Current State: 97:[80, 73, 90], Operations: ['15*6=90']
Exploring Operation: 80-73=7, Resulting Numbers: [90, 7]
Generated Node #0,2,0: 97:[90, 7] Operation: 80-73=7
Exploring Operation: 73+90=163, Resulting Numbers: [80, 163]
Generated Node #0,2,1: 97:[80, 163] Operation: 73+90=163
Exploring Operation: 80+73=153, Resulting Numbers: [90, 153]
Generated Node #0,2,2: 97:[90, 153] Operation: 80+73=153
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[90, 153], Operations: ['15*6=90', '80+73=153']
Exploring Operation: 90*153=13770, Resulting Numbers: [13770]
13770,97 unequal: No Solution
Exploring Operation: 90+153=243, Resulting Numbers: [243]
243,97 unequal: No Solution
Exploring Operation: 153-90=63, Resulting Numbers: [63]
63,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[80, 163], Operations: ['15*6=90', '73+90=163']
Exploring Operation: 80+163=243, Resulting Numbers: [243]
243,97 unequal: No Solution
Exploring Operation: 163-80=83, Resulting Numbers: [83]
83,97 unequal: No Solution
Exploring Operation: 80*163=13040, Resulting Numbers: [13040]
13040,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[90, 7], Operations: ['15*6=90', '80-73=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[15, 80, 73, 6], Operations: []
Exploring Operation: 15*6=90, Resulting Numbers: [80, 73, 90]
Generated Node #0,2: 97:[80, 73, 90] Operation: 15*6=90
Moving to Node #0,2
Current State: 97:[80, 73, 90], Operations: ['15*6=90']
Exploring Operation: 80-73=7, Resulting Numbers: [90, 7]
Generated Node #0,2,0: 97:[90, 7] Operation: 80-73=7
Moving to Node #0,2,0
Current State: 97:[90, 7], Operations: ['15*6=90', '80-73=7']
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
21,
50,
42,
48
] | 26 | [
"42/21=2",
"48/2=24",
"50-24=26"
] | Current State: 26:[21, 50, 42, 48], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [50, 48, 2]
Generated Node #2: [50, 48, 2] from Operation: 42/21=2
Current State: 26:[50, 48, 2], Operations: ['42/21=2']
Exploring Operation: 48/2=24, Resulting Numbers: [50, 24]
Generated Node #3: [50, 24] from Operation: 48/2=24
Current State: 26:[50, 24], Operations: ['42/21=2', '48/2=24']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[21, 50, 42, 48], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [21, 42, 2]
Generated Node #0,0: 26:[21, 42, 2] Operation: 50-48=2
Exploring Operation: 50-21=29, Resulting Numbers: [42, 48, 29]
Generated Node #0,1: 26:[42, 48, 29] Operation: 50-21=29
Exploring Operation: 50-42=8, Resulting Numbers: [21, 48, 8]
Generated Node #0,2: 26:[21, 48, 8] Operation: 50-42=8
Exploring Operation: 48-42=6, Resulting Numbers: [21, 50, 6]
Generated Node #0,3: 26:[21, 50, 6] Operation: 48-42=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[21, 42, 2], Operations: ['50-48=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21, 21]
Generated Node #0,0,0: 26:[21, 21] Operation: 42/2=21
Exploring Operation: 42/21=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 26:[2, 2] Operation: 42/21=2
Exploring Operation: 42-21=21, Resulting Numbers: [2, 21]
Generated Node #0,0,2: 26:[2, 21] Operation: 42-21=21
Exploring Operation: 21+2=23, Resulting Numbers: [42, 23]
Generated Node #0,0,3: 26:[42, 23] Operation: 21+2=23
Moving to Node #0,0,1
Current State: 26:[2, 2], Operations: ['50-48=2', '42/21=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,26 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[2, 21], Operations: ['50-48=2', '42-21=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[21, 21], Operations: ['50-48=2', '42/2=21']
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,26 unequal: No Solution
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,26 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Moving to Node #0,0,3
Current State: 26:[42, 23], Operations: ['50-48=2', '21+2=23']
Exploring Operation: 42*23=966, Resulting Numbers: [966]
966,26 unequal: No Solution
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,26 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[21, 48, 8], Operations: ['50-42=8']
Exploring Operation: 21-8=13, Resulting Numbers: [48, 13]
Generated Node #0,2,0: 26:[48, 13] Operation: 21-8=13
Exploring Operation: 48-8=40, Resulting Numbers: [21, 40]
Generated Node #0,2,1: 26:[21, 40] Operation: 48-8=40
Exploring Operation: 48/8=6, Resulting Numbers: [21, 6]
Generated Node #0,2,2: 26:[21, 6] Operation: 48/8=6
Exploring Operation: 48-21=27, Resulting Numbers: [8, 27]
Generated Node #0,2,3: 26:[8, 27] Operation: 48-21=27
Moving to Node #0,2,3
Current State: 26:[8, 27], Operations: ['50-42=8', '48-21=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[21, 6], Operations: ['50-42=8', '48/8=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[21, 40], Operations: ['50-42=8', '48-8=40']
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 21*40=840, Resulting Numbers: [840]
840,26 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[48, 13], Operations: ['50-42=8', '21-8=13']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,26 unequal: No Solution
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[21, 50, 6], Operations: ['48-42=6']
Exploring Operation: 50-21=29, Resulting Numbers: [6, 29]
Generated Node #0,3,0: 26:[6, 29] Operation: 50-21=29
Exploring Operation: 21-6=15, Resulting Numbers: [50, 15]
Generated Node #0,3,1: 26:[50, 15] Operation: 21-6=15
Exploring Operation: 50-6=44, Resulting Numbers: [21, 44]
Generated Node #0,3,2: 26:[21, 44] Operation: 50-6=44
Exploring Operation: 21+6=27, Resulting Numbers: [50, 27]
Generated Node #0,3,3: 26:[50, 27] Operation: 21+6=27
Moving to Node #0,3,0
Current State: 26:[6, 29], Operations: ['48-42=6', '50-21=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,26 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[21, 44], Operations: ['48-42=6', '50-6=44']
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,26 unequal: No Solution
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[50, 27], Operations: ['48-42=6', '21+6=27']
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,26 unequal: No Solution
Exploring Operation: 50*27=1350, Resulting Numbers: [1350]
1350,26 unequal: No Solution
Exploring Operation: 50-27=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[50, 15], Operations: ['48-42=6', '21-6=15']
Exploring Operation: 50+15=65, Resulting Numbers: [65]
65,26 unequal: No Solution
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 50*15=750, Resulting Numbers: [750]
750,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[42, 48, 29], Operations: ['50-21=29']
Exploring Operation: 48-29=19, Resulting Numbers: [42, 19]
Generated Node #0,1,0: 26:[42, 19] Operation: 48-29=19
Exploring Operation: 42-29=13, Resulting Numbers: [48, 13]
Generated Node #0,1,1: 26:[48, 13] Operation: 42-29=13
Exploring Operation: 48-42=6, Resulting Numbers: [29, 6]
Generated Node #0,1,2: 26:[29, 6] Operation: 48-42=6
Exploring Operation: 42+48=90, Resulting Numbers: [29, 90]
Generated Node #0,1,3: 26:[29, 90] Operation: 42+48=90
Moving to Node #0,1,2
Current State: 26:[29, 6], Operations: ['50-21=29', '48-42=6']
Exploring Operation: 29*6=174, Resulting Numbers: [174]
174,26 unequal: No Solution
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[48, 13], Operations: ['50-21=29', '42-29=13']
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,26 unequal: No Solution
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[42, 19], Operations: ['50-21=29', '48-29=19']
Exploring Operation: 42*19=798, Resulting Numbers: [798]
798,26 unequal: No Solution
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 42+19=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[29, 90], Operations: ['50-21=29', '42+48=90']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,26 unequal: No Solution
Exploring Operation: 29+90=119, Resulting Numbers: [119]
119,26 unequal: No Solution
Exploring Operation: 29*90=2610, Resulting Numbers: [2610]
2610,26 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 |
[
62,
23,
9,
53
] | 83 | [
"62-23=39",
"53-9=44",
"39+44=83"
] | Current State: 83:[62, 23, 9, 53], Operations: []
Exploring Operation: 62-23=39, Resulting Numbers: [9, 53, 39]
Generated Node #2: [9, 53, 39] from Operation: 62-23=39
Current State: 83:[9, 53, 39], Operations: ['62-23=39']
Exploring Operation: 53-9=44, Resulting Numbers: [39, 44]
Generated Node #3: [39, 44] from Operation: 53-9=44
Current State: 83:[39, 44], Operations: ['62-23=39', '53-9=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[62, 23, 9, 53], Operations: []
Exploring Operation: 62+9=71, Resulting Numbers: [23, 53, 71]
Generated Node #0,0: 83:[23, 53, 71] Operation: 62+9=71
Exploring Operation: 23+53=76, Resulting Numbers: [62, 9, 76]
Generated Node #0,1: 83:[62, 9, 76] Operation: 23+53=76
Exploring Operation: 23+9=32, Resulting Numbers: [62, 53, 32]
Generated Node #0,2: 83:[62, 53, 32] Operation: 23+9=32
Exploring Operation: 9+53=62, Resulting Numbers: [62, 23, 62]
Generated Node #0,3: 83:[62, 23, 62] Operation: 9+53=62
Moving to Node #0,0
Current State: 83:[23, 53, 71], Operations: ['62+9=71']
Exploring Operation: 53-23=30, Resulting Numbers: [71, 30]
Generated Node #0,0,0: 83:[71, 30] Operation: 53-23=30
Exploring Operation: 23+53=76, Resulting Numbers: [71, 76]
Generated Node #0,0,1: 83:[71, 76] Operation: 23+53=76
Exploring Operation: 71-23=48, Resulting Numbers: [53, 48]
Generated Node #0,0,2: 83:[53, 48] Operation: 71-23=48
Exploring Operation: 23+71=94, Resulting Numbers: [53, 94]
Generated Node #0,0,3: 83:[53, 94] Operation: 23+71=94
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[71, 76], Operations: ['62+9=71', '23+53=76']
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,83 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,83 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 #0,0,3
Current State: 83:[53, 94], Operations: ['62+9=71', '23+71=94']
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 53*94=4982, Resulting Numbers: [4982]
4982,83 unequal: No Solution
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,83 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 #0,0,0
Current State: 83:[71, 30], Operations: ['62+9=71', '53-23=30']
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,83 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 #0,0,2
Current State: 83:[53, 48], Operations: ['62+9=71', '71-23=48']
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 53+48=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 53*48=2544, Resulting Numbers: [2544]
2544,83 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: 83:[62, 53, 32], Operations: ['23+9=32']
Exploring Operation: 62-32=30, Resulting Numbers: [53, 30]
Generated Node #0,2,0: 83:[53, 30] Operation: 62-32=30
Exploring Operation: 53+32=85, Resulting Numbers: [62, 85]
Generated Node #0,2,1: 83:[62, 85] Operation: 53+32=85
Exploring Operation: 62+32=94, Resulting Numbers: [53, 94]
Generated Node #0,2,2: 83:[53, 94] Operation: 62+32=94
Exploring Operation: 62+53=115, Resulting Numbers: [32, 115]
Generated Node #0,2,3: 83:[32, 115] Operation: 62+53=115
Moving to Node #0,1
Current State: 83:[62, 9, 76], Operations: ['23+53=76']
Exploring Operation: 9+76=85, Resulting Numbers: [62, 85]
Generated Node #0,1,0: 83:[62, 85] Operation: 9+76=85
Exploring Operation: 62-9=53, Resulting Numbers: [76, 53]
Generated Node #0,1,1: 83:[76, 53] Operation: 62-9=53
Exploring Operation: 76-9=67, Resulting Numbers: [62, 67]
Generated Node #0,1,2: 83:[62, 67] Operation: 76-9=67
Exploring Operation: 62+9=71, Resulting Numbers: [76, 71]
Generated Node #0,1,3: 83:[76, 71] Operation: 62+9=71
Moving to Node #0,3
Current State: 83:[62, 23, 62], Operations: ['9+53=62']
Exploring Operation: 62-23=39, Resulting Numbers: [62, 39]
Generated Node #0,3,0: 83:[62, 39] Operation: 62-23=39
Exploring Operation: 23+62=85, Resulting Numbers: [62, 85]
Generated Node #0,3,1: 83:[62, 85] Operation: 23+62=85
Exploring Operation: 62+23=85, Resulting Numbers: [62, 85]
Generated Node #0,3,2: 83:[62, 85] Operation: 62+23=85
Exploring Operation: 62-23=39, Resulting Numbers: [62, 39]
Generated Node #0,3,3: 83:[62, 39] Operation: 62-23=39
Moving to Node #0,1,3
Current State: 83:[76, 71], Operations: ['23+53=76', '62+9=71']
Exploring Operation: 76*71=5396, Resulting Numbers: [5396]
5396,83 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 76+71=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[62, 85], Operations: ['23+53=76', '9+76=85']
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 62*85=5270, Resulting Numbers: [5270]
5270,83 unequal: No Solution
Exploring Operation: 62+85=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[62, 85], Operations: ['23+9=32', '53+32=85']
Exploring Operation: 62+85=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 62*85=5270, Resulting Numbers: [5270]
5270,83 unequal: No Solution
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[62, 85], Operations: ['9+53=62', '62+23=85']
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 62+85=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 62*85=5270, Resulting Numbers: [5270]
5270,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[62, 85], Operations: ['9+53=62', '23+62=85']
Exploring Operation: 62+85=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Exploring Operation: 62*85=5270, Resulting Numbers: [5270]
5270,83 unequal: No Solution
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[76, 53], Operations: ['23+53=76', '62-9=53']
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,83 unequal: No Solution
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 76*53=4028, Resulting Numbers: [4028]
4028,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[62, 67], Operations: ['23+53=76', '76-9=67']
Exploring Operation: 62*67=4154, Resulting Numbers: [4154]
4154,83 unequal: No Solution
Exploring Operation: 67-62=5, Resulting Numbers: [5]
5,83 unequal: No Solution
Exploring Operation: 62+67=129, Resulting Numbers: [129]
129,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[53, 94], Operations: ['23+9=32', '62+32=94']
Exploring Operation: 53*94=4982, Resulting Numbers: [4982]
4982,83 unequal: No Solution
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,83 unequal: No Solution
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[62, 39], Operations: ['9+53=62', '62-23=39']
Exploring Operation: 62+39=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 62*39=2418, Resulting Numbers: [2418]
2418,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[62, 39], Operations: ['9+53=62', '62-23=39']
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 62+39=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 62*39=2418, Resulting Numbers: [2418]
2418,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[32, 115], Operations: ['23+9=32', '62+53=115']
Exploring Operation: 32*115=3680, Resulting Numbers: [3680]
3680,83 unequal: No Solution
Exploring Operation: 115-32=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[62, 23, 9, 53], Operations: []
Exploring Operation: 23+9=32, Resulting Numbers: [62, 53, 32]
Generated Node #0,2: 83:[62, 53, 32] Operation: 23+9=32
Moving to Node #0,2
Current State: 83:[62, 53, 32], Operations: ['23+9=32']
Exploring Operation: 62+53=115, Resulting Numbers: [32, 115]
Generated Node #0,2,3: 83:[32, 115] Operation: 62+53=115
Moving to Node #0,2,3
Current State: 83:[32, 115], Operations: ['23+9=32', '62+53=115']
Exploring Operation: 115-32=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.940972 | hs_4 | sum_heuristic |
[
38,
13,
52,
87
] | 95 | [
"52-38=14",
"13*14=182",
"182-87=95"
] | Current State: 95:[38, 13, 52, 87], Operations: []
Exploring Operation: 52-38=14, Resulting Numbers: [13, 87, 14]
Generated Node #2: [13, 87, 14] from Operation: 52-38=14
Current State: 95:[13, 87, 14], Operations: ['52-38=14']
Exploring Operation: 13*14=182, Resulting Numbers: [87, 182]
Generated Node #3: [87, 182] from Operation: 13*14=182
Current State: 95:[87, 182], Operations: ['52-38=14', '13*14=182']
Exploring Operation: 182-87=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[38, 13, 52, 87], Operations: []
Exploring Operation: 52-38=14, Resulting Numbers: [13, 87, 14]
Generated Node #0,0: 95:[13, 87, 14] Operation: 52-38=14
Exploring Operation: 38+52=90, Resulting Numbers: [13, 87, 90]
Generated Node #0,1: 95:[13, 87, 90] Operation: 38+52=90
Exploring Operation: 87-52=35, Resulting Numbers: [38, 13, 35]
Generated Node #0,2: 95:[38, 13, 35] Operation: 87-52=35
Exploring Operation: 52/13=4, Resulting Numbers: [38, 87, 4]
Generated Node #0,3: 95:[38, 87, 4] Operation: 52/13=4
Moving to Node #0,0
Current State: 95:[13, 87, 14], Operations: ['52-38=14']
Exploring Operation: 14-13=1, Resulting Numbers: [87, 1]
Generated Node #0,0,0: 95:[87, 1] Operation: 14-13=1
Exploring Operation: 13+14=27, Resulting Numbers: [87, 27]
Generated Node #0,0,1: 95:[87, 27] Operation: 13+14=27
Exploring Operation: 87+14=101, Resulting Numbers: [13, 101]
Generated Node #0,0,2: 95:[13, 101] Operation: 87+14=101
Exploring Operation: 13+87=100, Resulting Numbers: [14, 100]
Generated Node #0,0,3: 95:[14, 100] Operation: 13+87=100
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[14, 100], Operations: ['52-38=14', '13+87=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,95 unequal: No Solution
Exploring Operation: 14*100=1400, Resulting Numbers: [1400]
1400,95 unequal: No Solution
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[87, 1], Operations: ['52-38=14', '14-13=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,95 unequal: No Solution
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,95 unequal: No Solution
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[13, 101], Operations: ['52-38=14', '87+14=101']
Exploring Operation: 13*101=1313, Resulting Numbers: [1313]
1313,95 unequal: No Solution
Exploring Operation: 13+101=114, Resulting Numbers: [114]
114,95 unequal: No Solution
Exploring Operation: 101-13=88, Resulting Numbers: [88]
88,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[87, 27], Operations: ['52-38=14', '13+14=27']
Exploring Operation: 87+27=114, Resulting Numbers: [114]
114,95 unequal: No Solution
Exploring Operation: 87*27=2349, Resulting Numbers: [2349]
2349,95 unequal: No Solution
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,95 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: 95:[13, 87, 90], Operations: ['38+52=90']
Exploring Operation: 87-13=74, Resulting Numbers: [90, 74]
Generated Node #0,1,0: 95:[90, 74] Operation: 87-13=74
Exploring Operation: 13+87=100, Resulting Numbers: [90, 100]
Generated Node #0,1,1: 95:[90, 100] Operation: 13+87=100
Exploring Operation: 13+90=103, Resulting Numbers: [87, 103]
Generated Node #0,1,2: 95:[87, 103] Operation: 13+90=103
Exploring Operation: 90-87=3, Resulting Numbers: [13, 3]
Generated Node #0,1,3: 95:[13, 3] Operation: 90-87=3
Moving to Node #0,3
Current State: 95:[38, 87, 4], Operations: ['52/13=4']
Exploring Operation: 38-4=34, Resulting Numbers: [87, 34]
Generated Node #0,3,0: 95:[87, 34] Operation: 38-4=34
Exploring Operation: 87+4=91, Resulting Numbers: [38, 91]
Generated Node #0,3,1: 95:[38, 91] Operation: 87+4=91
Exploring Operation: 87-38=49, Resulting Numbers: [4, 49]
Generated Node #0,3,2: 95:[4, 49] Operation: 87-38=49
Exploring Operation: 38+87=125, Resulting Numbers: [4, 125]
Generated Node #0,3,3: 95:[4, 125] Operation: 38+87=125
Moving to Node #0,2
Current State: 95:[38, 13, 35], Operations: ['87-52=35']
Exploring Operation: 38+35=73, Resulting Numbers: [13, 73]
Generated Node #0,2,0: 95:[13, 73] Operation: 38+35=73
Exploring Operation: 38-35=3, Resulting Numbers: [13, 3]
Generated Node #0,2,1: 95:[13, 3] Operation: 38-35=3
Exploring Operation: 35-13=22, Resulting Numbers: [38, 22]
Generated Node #0,2,2: 95:[38, 22] Operation: 35-13=22
Exploring Operation: 38-13=25, Resulting Numbers: [35, 25]
Generated Node #0,2,3: 95:[35, 25] Operation: 38-13=25
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[13, 3], Operations: ['87-52=35', '38-35=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[38, 22], Operations: ['87-52=35', '35-13=22']
Exploring Operation: 38*22=836, Resulting Numbers: [836]
836,95 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 95:[35, 25], Operations: ['87-52=35', '38-13=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[13, 73], Operations: ['87-52=35', '38+35=73']
Exploring Operation: 13+73=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 13*73=949, Resulting Numbers: [949]
949,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 95:[13, 3], Operations: ['38+52=90', '90-87=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[90, 100], Operations: ['38+52=90', '13+87=100']
Exploring Operation: 90*100=9000, Resulting Numbers: [9000]
9000,95 unequal: No Solution
Exploring Operation: 90+100=190, Resulting Numbers: [190]
190,95 unequal: No Solution
Exploring Operation: 100-90=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[87, 103], Operations: ['38+52=90', '13+90=103']
Exploring Operation: 87*103=8961, Resulting Numbers: [8961]
8961,95 unequal: No Solution
Exploring Operation: 103-87=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 87+103=190, Resulting Numbers: [190]
190,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[38, 91], Operations: ['52/13=4', '87+4=91']
Exploring Operation: 38*91=3458, Resulting Numbers: [3458]
3458,95 unequal: No Solution
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 38+91=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[87, 34], Operations: ['52/13=4', '38-4=34']
Exploring Operation: 87*34=2958, Resulting Numbers: [2958]
2958,95 unequal: No Solution
Exploring Operation: 87+34=121, Resulting Numbers: [121]
121,95 unequal: No Solution
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[90, 74], Operations: ['38+52=90', '87-13=74']
Exploring Operation: 90+74=164, Resulting Numbers: [164]
164,95 unequal: No Solution
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 90*74=6660, Resulting Numbers: [6660]
6660,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[4, 125], Operations: ['52/13=4', '38+87=125']
Exploring Operation: 125-4=121, Resulting Numbers: [121]
121,95 unequal: No Solution
Exploring Operation: 4*125=500, Resulting Numbers: [500]
500,95 unequal: No Solution
Exploring Operation: 4+125=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[4, 49], Operations: ['52/13=4', '87-38=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,95 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,95 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
51,
39,
38,
37
] | 70 | [
"39-37=2",
"38/2=19",
"51+19=70"
] | Current State: 70:[51, 39, 38, 37], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [51, 38, 2]
Generated Node #2: [51, 38, 2] from Operation: 39-37=2
Current State: 70:[51, 38, 2], Operations: ['39-37=2']
Exploring Operation: 38/2=19, Resulting Numbers: [51, 19]
Generated Node #3: [51, 19] from Operation: 38/2=19
Current State: 70:[51, 19], Operations: ['39-37=2', '38/2=19']
Exploring Operation: 51+19=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[51, 39, 38, 37], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [38, 37, 12]
Generated Node #0,0: 70:[38, 37, 12] Operation: 51-39=12
Moving to Node #0,0
Current State: 70:[38, 37, 12], Operations: ['51-39=12']
Exploring Operation: 38-37=1, Resulting Numbers: [12, 1]
Generated Node #0,0,0: 70:[12, 1] Operation: 38-37=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[12, 1], Operations: ['51-39=12', '38-37=1']
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
99,
5,
38,
68
] | 93 | [
"68-38=30",
"30/5=6",
"99-6=93"
] | Current State: 93:[99, 5, 38, 68], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [99, 5, 30]
Generated Node #2: [99, 5, 30] from Operation: 68-38=30
Current State: 93:[99, 5, 30], Operations: ['68-38=30']
Exploring Operation: 30/5=6, Resulting Numbers: [99, 6]
Generated Node #3: [99, 6] from Operation: 30/5=6
Current State: 93:[99, 6], Operations: ['68-38=30', '30/5=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[99, 5, 38, 68], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [99, 5, 30]
Generated Node #0,0: 93:[99, 5, 30] Operation: 68-38=30
Exploring Operation: 38+68=106, Resulting Numbers: [99, 5, 106]
Generated Node #0,1: 93:[99, 5, 106] Operation: 38+68=106
Exploring Operation: 99-68=31, Resulting Numbers: [5, 38, 31]
Generated Node #0,2: 93:[5, 38, 31] Operation: 99-68=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[99, 5, 30], Operations: ['68-38=30']
Exploring Operation: 99-5=94, Resulting Numbers: [30, 94]
Generated Node #0,0,0: 93:[30, 94] Operation: 99-5=94
Exploring Operation: 5+30=35, Resulting Numbers: [99, 35]
Generated Node #0,0,1: 93:[99, 35] Operation: 5+30=35
Exploring Operation: 30/5=6, Resulting Numbers: [99, 6]
Generated Node #0,0,2: 93:[99, 6] Operation: 30/5=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[30, 94], Operations: ['68-38=30', '99-5=94']
Exploring Operation: 30+94=124, Resulting Numbers: [124]
124,93 unequal: No Solution
Exploring Operation: 30*94=2820, Resulting Numbers: [2820]
2820,93 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[99, 6], Operations: ['68-38=30', '30/5=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[99, 5, 38, 68], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [99, 5, 30]
Generated Node #0,0: 93:[99, 5, 30] Operation: 68-38=30
Moving to Node #0,0
Current State: 93:[99, 5, 30], Operations: ['68-38=30']
Exploring Operation: 30/5=6, Resulting Numbers: [99, 6]
Generated Node #0,0,2: 93:[99, 6] Operation: 30/5=6
Moving to Node #0,0,2
Current State: 93:[99, 6], Operations: ['68-38=30', '30/5=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
98,
46,
97,
2
] | 46 | [
"98-97=1",
"2-1=1",
"46*1=46"
] | Current State: 46:[98, 46, 97, 2], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [46, 2, 1]
Generated Node #2: [46, 2, 1] from Operation: 98-97=1
Current State: 46:[46, 2, 1], Operations: ['98-97=1']
Exploring Operation: 2-1=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 2-1=1
Current State: 46:[46, 1], Operations: ['98-97=1', '2-1=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[98, 46, 97, 2], Operations: []
Exploring Operation: 98-2=96, Resulting Numbers: [46, 97, 96]
Generated Node #0,0: 46:[46, 97, 96] Operation: 98-2=96
Exploring Operation: 98-97=1, Resulting Numbers: [46, 2, 1]
Generated Node #0,1: 46:[46, 2, 1] Operation: 98-97=1
Exploring Operation: 98-46=52, Resulting Numbers: [97, 2, 52]
Generated Node #0,2: 46:[97, 2, 52] Operation: 98-46=52
Exploring Operation: 98/2=49, Resulting Numbers: [46, 97, 49]
Generated Node #0,3: 46:[46, 97, 49] Operation: 98/2=49
Exploring Operation: 97-46=51, Resulting Numbers: [98, 2, 51]
Generated Node #0,4: 46:[98, 2, 51] Operation: 97-46=51
Moving to Node #0,1
Current State: 46:[46, 2, 1], Operations: ['98-97=1']
Exploring Operation: 46/2=23, Resulting Numbers: [1, 23]
Generated Node #0,1,0: 46:[1, 23] Operation: 46/2=23
Exploring Operation: 2*1=2, Resulting Numbers: [46, 2]
Generated Node #0,1,1: 46:[46, 2] Operation: 2*1=2
Exploring Operation: 2/1=2, Resulting Numbers: [46, 2]
Generated Node #0,1,2: 46:[46, 2] Operation: 2/1=2
Exploring Operation: 46/1=46, Resulting Numbers: [2, 46]
Generated Node #0,1,3: 46:[2, 46] Operation: 46/1=46
Exploring Operation: 46*1=46, Resulting Numbers: [2, 46]
Generated Node #0,1,4: 46:[2, 46] Operation: 46*1=46
Moving to Node #0,3
Current State: 46:[46, 97, 49], Operations: ['98/2=49']
Exploring Operation: 97-46=51, Resulting Numbers: [49, 51]
Generated Node #0,3,0: 46:[49, 51] Operation: 97-46=51
Exploring Operation: 46+49=95, Resulting Numbers: [97, 95]
Generated Node #0,3,1: 46:[97, 95] Operation: 46+49=95
Exploring Operation: 49-46=3, Resulting Numbers: [97, 3]
Generated Node #0,3,2: 46:[97, 3] Operation: 49-46=3
Exploring Operation: 97-49=48, Resulting Numbers: [46, 48]
Generated Node #0,3,3: 46:[46, 48] Operation: 97-49=48
Exploring Operation: 46+97=143, Resulting Numbers: [49, 143]
Generated Node #0,3,4: 46:[49, 143] Operation: 46+97=143
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[46, 48], Operations: ['98/2=49', '97-49=48']
Exploring Operation: 46+48=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 46*48=2208, Resulting Numbers: [2208]
2208,46 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:[49, 51], Operations: ['98/2=49', '97-46=51']
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,46 unequal: No Solution
Exploring Operation: 49*51=2499, Resulting Numbers: [2499]
2499,46 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:[97, 3], Operations: ['98/2=49', '49-46=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,46 unequal: No Solution
Exploring Operation: 97*3=291, Resulting Numbers: [291]
291,46 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:[97, 95], Operations: ['98/2=49', '46+49=95']
Exploring Operation: 97*95=9215, Resulting Numbers: [9215]
9215,46 unequal: No Solution
Exploring Operation: 97-95=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 97+95=192, Resulting Numbers: [192]
192,46 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:[49, 143], Operations: ['98/2=49', '46+97=143']
Exploring Operation: 49+143=192, Resulting Numbers: [192]
192,46 unequal: No Solution
Exploring Operation: 49*143=7007, Resulting Numbers: [7007]
7007,46 unequal: No Solution
Exploring Operation: 143-49=94, Resulting Numbers: [94]
94,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 46:[97, 2, 52], Operations: ['98-46=52']
Exploring Operation: 97+2=99, Resulting Numbers: [52, 99]
Generated Node #0,2,0: 46:[52, 99] Operation: 97+2=99
Exploring Operation: 97-52=45, Resulting Numbers: [2, 45]
Generated Node #0,2,1: 46:[2, 45] Operation: 97-52=45
Exploring Operation: 52-2=50, Resulting Numbers: [97, 50]
Generated Node #0,2,2: 46:[97, 50] Operation: 52-2=50
Exploring Operation: 52/2=26, Resulting Numbers: [97, 26]
Generated Node #0,2,3: 46:[97, 26] Operation: 52/2=26
Exploring Operation: 97-2=95, Resulting Numbers: [52, 95]
Generated Node #0,2,4: 46:[52, 95] Operation: 97-2=95
Moving to Node #0,4
Current State: 46:[98, 2, 51], Operations: ['97-46=51']
Exploring Operation: 98-2=96, Resulting Numbers: [51, 96]
Generated Node #0,4,0: 46:[51, 96] Operation: 98-2=96
Exploring Operation: 98+2=100, Resulting Numbers: [51, 100]
Generated Node #0,4,1: 46:[51, 100] Operation: 98+2=100
Exploring Operation: 51-2=49, Resulting Numbers: [98, 49]
Generated Node #0,4,2: 46:[98, 49] Operation: 51-2=49
Exploring Operation: 98/2=49, Resulting Numbers: [51, 49]
Generated Node #0,4,3: 46:[51, 49] Operation: 98/2=49
Exploring Operation: 98-51=47, Resulting Numbers: [2, 47]
Generated Node #0,4,4: 46:[2, 47] Operation: 98-51=47
Moving to Node #0,0
Current State: 46:[46, 97, 96], Operations: ['98-2=96']
Exploring Operation: 97-46=51, Resulting Numbers: [96, 51]
Generated Node #0,0,0: 46:[96, 51] Operation: 97-46=51
Exploring Operation: 96-46=50, Resulting Numbers: [97, 50]
Generated Node #0,0,1: 46:[97, 50] Operation: 96-46=50
Exploring Operation: 46+97=143, Resulting Numbers: [96, 143]
Generated Node #0,0,2: 46:[96, 143] Operation: 46+97=143
Exploring Operation: 46+96=142, Resulting Numbers: [97, 142]
Generated Node #0,0,3: 46:[97, 142] Operation: 46+96=142
Exploring Operation: 97-96=1, Resulting Numbers: [46, 1]
Generated Node #0,0,4: 46:[46, 1] Operation: 97-96=1
Moving to Node #0,1,1
Current State: 46:[46, 2], Operations: ['98-97=1', '2*1=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[2, 46], Operations: ['98-97=1', '46/1=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[46, 2], Operations: ['98-97=1', '2/1=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,1,4
Current State: 46:[2, 46], Operations: ['98-97=1', '46*1=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,46 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[2, 45], Operations: ['98-46=52', '97-52=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[1, 23], Operations: ['98-97=1', '46/2=23']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,4,4
Current State: 46:[2, 47], Operations: ['97-46=51', '98-51=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,46 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Moving to Node #0,0,4
Current State: 46:[46, 1], Operations: ['98-2=96', '97-96=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[98, 46, 97, 2], Operations: []
Exploring Operation: 98-2=96, Resulting Numbers: [46, 97, 96]
Generated Node #0,0: 46:[46, 97, 96] Operation: 98-2=96
Moving to Node #0,0
Current State: 46:[46, 97, 96], Operations: ['98-2=96']
Exploring Operation: 97-96=1, Resulting Numbers: [46, 1]
Generated Node #0,0,4: 46:[46, 1] Operation: 97-96=1
Moving to Node #0,0,4
Current State: 46:[46, 1], Operations: ['98-2=96', '97-96=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.934028 | hs_5 | mult_heuristic |
[
55,
31,
58,
12
] | 22 | [
"55-31=24",
"58-12=46",
"46-24=22"
] | Current State: 22:[55, 31, 58, 12], Operations: []
Exploring Operation: 55-31=24, Resulting Numbers: [58, 12, 24]
Generated Node #2: [58, 12, 24] from Operation: 55-31=24
Current State: 22:[58, 12, 24], Operations: ['55-31=24']
Exploring Operation: 58-12=46, Resulting Numbers: [24, 46]
Generated Node #3: [24, 46] from Operation: 58-12=46
Current State: 22:[24, 46], Operations: ['55-31=24', '58-12=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[55, 31, 58, 12], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [31, 12, 3]
Generated Node #0,0: 22:[31, 12, 3] Operation: 58-55=3
Exploring Operation: 55-31=24, Resulting Numbers: [58, 12, 24]
Generated Node #0,1: 22:[58, 12, 24] Operation: 55-31=24
Exploring Operation: 58-31=27, Resulting Numbers: [55, 12, 27]
Generated Node #0,2: 22:[55, 12, 27] Operation: 58-31=27
Exploring Operation: 55-12=43, Resulting Numbers: [31, 58, 43]
Generated Node #0,3: 22:[31, 58, 43] Operation: 55-12=43
Exploring Operation: 58-12=46, Resulting Numbers: [55, 31, 46]
Generated Node #0,4: 22:[55, 31, 46] Operation: 58-12=46
Moving to Node #0,0
Current State: 22:[31, 12, 3], Operations: ['58-55=3']
Exploring Operation: 31+3=34, Resulting Numbers: [12, 34]
Generated Node #0,0,0: 22:[12, 34] Operation: 31+3=34
Exploring Operation: 31-12=19, Resulting Numbers: [3, 19]
Generated Node #0,0,1: 22:[3, 19] Operation: 31-12=19
Exploring Operation: 31-3=28, Resulting Numbers: [12, 28]
Generated Node #0,0,2: 22:[12, 28] Operation: 31-3=28
Exploring Operation: 12-3=9, Resulting Numbers: [31, 9]
Generated Node #0,0,3: 22:[31, 9] Operation: 12-3=9
Exploring Operation: 12/3=4, Resulting Numbers: [31, 4]
Generated Node #0,0,4: 22:[31, 4] Operation: 12/3=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[3, 19], Operations: ['58-55=3', '31-12=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[55, 31, 58, 12], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [31, 12, 3]
Generated Node #0,0: 22:[31, 12, 3] Operation: 58-55=3
Moving to Node #0,0
Current State: 22:[31, 12, 3], Operations: ['58-55=3']
Exploring Operation: 31-12=19, Resulting Numbers: [3, 19]
Generated Node #0,0,1: 22:[3, 19] Operation: 31-12=19
Moving to Node #0,0,1
Current State: 22:[3, 19], Operations: ['58-55=3', '31-12=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
23,
63,
84,
26
] | 63 | [
"26-23=3",
"84-63=21",
"3*21=63"
] | Current State: 63:[23, 63, 84, 26], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [63, 84, 3]
Generated Node #2: [63, 84, 3] from Operation: 26-23=3
Current State: 63:[63, 84, 3], Operations: ['26-23=3']
Exploring Operation: 84-63=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 84-63=21
Current State: 63:[3, 21], Operations: ['26-23=3', '84-63=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[23, 63, 84, 26], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [23, 26, 21]
Generated Node #0,0: 63:[23, 26, 21] Operation: 84-63=21
Exploring Operation: 84-23=61, Resulting Numbers: [63, 26, 61]
Generated Node #0,1: 63:[63, 26, 61] Operation: 84-23=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[23, 26, 21], Operations: ['84-63=21']
Exploring Operation: 26-21=5, Resulting Numbers: [23, 5]
Generated Node #0,0,0: 63:[23, 5] Operation: 26-21=5
Exploring Operation: 26-23=3, Resulting Numbers: [21, 3]
Generated Node #0,0,1: 63:[21, 3] Operation: 26-23=3
Moving to Node #0,0,1
Current State: 63:[21, 3], Operations: ['84-63=21', '26-23=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[23, 63, 84, 26], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [23, 26, 21]
Generated Node #0,0: 63:[23, 26, 21] Operation: 84-63=21
Moving to Node #0,0
Current State: 63:[23, 26, 21], Operations: ['84-63=21']
Exploring Operation: 26-23=3, Resulting Numbers: [21, 3]
Generated Node #0,0,1: 63:[21, 3] Operation: 26-23=3
Moving to Node #0,0,1
Current State: 63:[21, 3], Operations: ['84-63=21', '26-23=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
91,
16,
21,
21
] | 91 | [
"21-21=0",
"16*0=0",
"91+0=91"
] | Current State: 91:[91, 16, 21, 21], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [91, 16, 0]
Generated Node #2: [91, 16, 0] from Operation: 21-21=0
Current State: 91:[91, 16, 0], Operations: ['21-21=0']
Exploring Operation: 16*0=0, Resulting Numbers: [91, 0]
Generated Node #3: [91, 0] from Operation: 16*0=0
Current State: 91:[91, 0], Operations: ['21-21=0', '16*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[91, 16, 21, 21], Operations: []
Exploring Operation: 91+16=107, Resulting Numbers: [21, 21, 107]
Generated Node #0,0: 91:[21, 21, 107] Operation: 91+16=107
Exploring Operation: 21/21=1, Resulting Numbers: [91, 16, 1]
Generated Node #0,1: 91:[91, 16, 1] Operation: 21/21=1
Exploring Operation: 21-16=5, Resulting Numbers: [91, 21, 5]
Generated Node #0,2: 91:[91, 21, 5] Operation: 21-16=5
Exploring Operation: 21-16=5, Resulting Numbers: [91, 21, 5]
Generated Node #0,3: 91:[91, 21, 5] Operation: 21-16=5
Exploring Operation: 21-21=0, Resulting Numbers: [91, 16, 0]
Generated Node #0,4: 91:[91, 16, 0] Operation: 21-21=0
Moving to Node #0,1
Current State: 91:[91, 16, 1], Operations: ['21/21=1']
Exploring Operation: 91/1=91, Resulting Numbers: [16, 91]
Generated Node #0,1,0: 91:[16, 91] Operation: 91/1=91
Exploring Operation: 16*1=16, Resulting Numbers: [91, 16]
Generated Node #0,1,1: 91:[91, 16] Operation: 16*1=16
Exploring Operation: 16-1=15, Resulting Numbers: [91, 15]
Generated Node #0,1,2: 91:[91, 15] Operation: 16-1=15
Exploring Operation: 16/1=16, Resulting Numbers: [91, 16]
Generated Node #0,1,3: 91:[91, 16] Operation: 16/1=16
Exploring Operation: 91*1=91, Resulting Numbers: [16, 91]
Generated Node #0,1,4: 91:[16, 91] Operation: 91*1=91
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[91, 15], Operations: ['21/21=1', '16-1=15']
Exploring Operation: 91*15=1365, Resulting Numbers: [1365]
1365,91 unequal: No Solution
Exploring Operation: 91+15=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[16, 91], Operations: ['21/21=1', '91/1=91']
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[91, 16], Operations: ['21/21=1', '16*1=16']
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 91:[91, 16], Operations: ['21/21=1', '16/1=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 91:[16, 91], Operations: ['21/21=1', '91*1=91']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 91:[91, 21, 5], Operations: ['21-16=5']
Exploring Operation: 21+5=26, Resulting Numbers: [91, 26]
Generated Node #0,3,0: 91:[91, 26] Operation: 21+5=26
Exploring Operation: 21-5=16, Resulting Numbers: [91, 16]
Generated Node #0,3,1: 91:[91, 16] Operation: 21-5=16
Exploring Operation: 91+5=96, Resulting Numbers: [21, 96]
Generated Node #0,3,2: 91:[21, 96] Operation: 91+5=96
Exploring Operation: 21*5=105, Resulting Numbers: [91, 105]
Generated Node #0,3,3: 91:[91, 105] Operation: 21*5=105
Exploring Operation: 91-5=86, Resulting Numbers: [21, 86]
Generated Node #0,3,4: 91:[21, 86] Operation: 91-5=86
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[91, 16], Operations: ['21-16=5', '21-5=16']
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[91, 26], Operations: ['21-16=5', '21+5=26']
Exploring Operation: 91+26=117, Resulting Numbers: [117]
117,91 unequal: No Solution
Exploring Operation: 91*26=2366, Resulting Numbers: [2366]
2366,91 unequal: No Solution
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[21, 96], Operations: ['21-16=5', '91+5=96']
Exploring Operation: 21*96=2016, Resulting Numbers: [2016]
2016,91 unequal: No Solution
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 21+96=117, Resulting Numbers: [117]
117,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 91:[21, 86], Operations: ['21-16=5', '91-5=86']
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 21+86=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 21*86=1806, Resulting Numbers: [1806]
1806,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[91, 105], Operations: ['21-16=5', '21*5=105']
Exploring Operation: 91+105=196, Resulting Numbers: [196]
196,91 unequal: No Solution
Exploring Operation: 105-91=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 91*105=9555, Resulting Numbers: [9555]
9555,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 91:[91, 21, 5], Operations: ['21-16=5']
Exploring Operation: 21+5=26, Resulting Numbers: [91, 26]
Generated Node #0,2,0: 91:[91, 26] Operation: 21+5=26
Exploring Operation: 21-5=16, Resulting Numbers: [91, 16]
Generated Node #0,2,1: 91:[91, 16] Operation: 21-5=16
Exploring Operation: 21*5=105, Resulting Numbers: [91, 105]
Generated Node #0,2,2: 91:[91, 105] Operation: 21*5=105
Exploring Operation: 91+5=96, Resulting Numbers: [21, 96]
Generated Node #0,2,3: 91:[21, 96] Operation: 91+5=96
Exploring Operation: 91-5=86, Resulting Numbers: [21, 86]
Generated Node #0,2,4: 91:[21, 86] Operation: 91-5=86
Moving to Node #0,4
Current State: 91:[91, 16, 0], Operations: ['21-21=0']
Exploring Operation: 16+0=16, Resulting Numbers: [91, 16]
Generated Node #0,4,0: 91:[91, 16] Operation: 16+0=16
Exploring Operation: 91+0=91, Resulting Numbers: [16, 91]
Generated Node #0,4,1: 91:[16, 91] Operation: 91+0=91
Exploring Operation: 16*0=0, Resulting Numbers: [91, 0]
Generated Node #0,4,2: 91:[91, 0] Operation: 16*0=0
Exploring Operation: 16-0=16, Resulting Numbers: [91, 16]
Generated Node #0,4,3: 91:[91, 16] Operation: 16-0=16
Exploring Operation: 91-0=91, Resulting Numbers: [16, 91]
Generated Node #0,4,4: 91:[16, 91] Operation: 91-0=91
Moving to Node #0,0
Current State: 91:[21, 21, 107], Operations: ['91+16=107']
Exploring Operation: 21-21=0, Resulting Numbers: [107, 0]
Generated Node #0,0,0: 91:[107, 0] Operation: 21-21=0
Exploring Operation: 107-21=86, Resulting Numbers: [21, 86]
Generated Node #0,0,1: 91:[21, 86] Operation: 107-21=86
Exploring Operation: 21/21=1, Resulting Numbers: [107, 1]
Generated Node #0,0,2: 91:[107, 1] Operation: 21/21=1
Exploring Operation: 21+21=42, Resulting Numbers: [107, 42]
Generated Node #0,0,3: 91:[107, 42] Operation: 21+21=42
Exploring Operation: 107-21=86, Resulting Numbers: [21, 86]
Generated Node #0,0,4: 91:[21, 86] Operation: 107-21=86
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[21, 86], Operations: ['91+16=107', '107-21=86']
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 21+86=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 21*86=1806, Resulting Numbers: [1806]
1806,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 91:[21, 86], Operations: ['91+16=107', '107-21=86']
Exploring Operation: 21*86=1806, Resulting Numbers: [1806]
1806,91 unequal: No Solution
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 21+86=107, Resulting Numbers: [107]
107,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[107, 1], Operations: ['91+16=107', '21/21=1']
Exploring Operation: 107+1=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Exploring Operation: 107/1=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 107-1=106, Resulting Numbers: [106]
106,91 unequal: No Solution
Exploring Operation: 107*1=107, Resulting Numbers: [107]
107,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[107, 0], Operations: ['91+16=107', '21-21=0']
Exploring Operation: 107-0=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 107+0=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 107*0=0, Resulting Numbers: [0]
0,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[107, 42], Operations: ['91+16=107', '21+21=42']
Exploring Operation: 107*42=4494, Resulting Numbers: [4494]
4494,91 unequal: No Solution
Exploring Operation: 107-42=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 107+42=149, Resulting Numbers: [149]
149,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 91:[91, 16], Operations: ['21-16=5', '21-5=16']
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Moving to Node #0,4,0
Current State: 91:[91, 16], Operations: ['21-21=0', '16+0=16']
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Moving to Node #0,4,1
Current State: 91:[16, 91], Operations: ['21-21=0', '91+0=91']
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Moving to Node #0,4,3
Current State: 91:[91, 16], Operations: ['21-21=0', '16-0=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Moving to Node #0,4,4
Current State: 91:[16, 91], Operations: ['21-21=0', '91-0=91']
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,91 unequal: No Solution
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,91 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Moving to Node #0,4,2
Current State: 91:[91, 0], Operations: ['21-21=0', '16*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[91, 16, 21, 21], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [91, 16, 0]
Generated Node #0,4: 91:[91, 16, 0] Operation: 21-21=0
Moving to Node #0,4
Current State: 91:[91, 16, 0], Operations: ['21-21=0']
Exploring Operation: 16*0=0, Resulting Numbers: [91, 0]
Generated Node #0,4,2: 91:[91, 0] Operation: 16*0=0
Moving to Node #0,4,2
Current State: 91:[91, 0], Operations: ['21-21=0', '16*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.916667 | hs_5 | mult_heuristic |
[
13,
73,
32,
33
] | 68 | [
"32+33=65",
"65/13=5",
"73-5=68"
] | Current State: 68:[13, 73, 32, 33], Operations: []
Exploring Operation: 32+33=65, Resulting Numbers: [13, 73, 65]
Generated Node #2: [13, 73, 65] from Operation: 32+33=65
Current State: 68:[13, 73, 65], Operations: ['32+33=65']
Exploring Operation: 65/13=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 65/13=5
Current State: 68:[73, 5], Operations: ['32+33=65', '65/13=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[13, 73, 32, 33], Operations: []
Exploring Operation: 32-13=19, Resulting Numbers: [73, 33, 19]
Generated Node #0,0: 68:[73, 33, 19] Operation: 32-13=19
Exploring Operation: 33-13=20, Resulting Numbers: [73, 32, 20]
Generated Node #0,1: 68:[73, 32, 20] Operation: 33-13=20
Moving to Node #0,0
Current State: 68:[73, 33, 19], Operations: ['32-13=19']
Exploring Operation: 73-33=40, Resulting Numbers: [19, 40]
Generated Node #0,0,0: 68:[19, 40] Operation: 73-33=40
Exploring Operation: 33-19=14, Resulting Numbers: [73, 14]
Generated Node #0,0,1: 68:[73, 14] Operation: 33-19=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[19, 40], Operations: ['32-13=19', '73-33=40']
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,68 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,68 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 #0,0,1
Current State: 68:[73, 14], Operations: ['32-13=19', '33-19=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,68 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: 68:[73, 32, 20], Operations: ['33-13=20']
Exploring Operation: 32-20=12, Resulting Numbers: [73, 12]
Generated Node #0,1,0: 68:[73, 12] Operation: 32-20=12
Exploring Operation: 73-32=41, Resulting Numbers: [20, 41]
Generated Node #0,1,1: 68:[20, 41] Operation: 73-32=41
Moving to Node #0,1,0
Current State: 68:[73, 12], Operations: ['33-13=20', '32-20=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[20, 41], Operations: ['33-13=20', '73-32=41']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,68 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
99,
50,
49,
98
] | 47 | [
"99-50=49",
"98/49=2",
"49-2=47"
] | Current State: 47:[99, 50, 49, 98], Operations: []
Exploring Operation: 99-50=49, Resulting Numbers: [49, 98, 49]
Generated Node #2: [49, 98, 49] from Operation: 99-50=49
Current State: 47:[49, 98, 49], Operations: ['99-50=49']
Exploring Operation: 98/49=2, Resulting Numbers: [2]
2,47 equal: Goal Reached
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[99, 50, 49, 98], Operations: []
Exploring Operation: 98-50=48, Resulting Numbers: [99, 49, 48]
Generated Node #0,0: 47:[99, 49, 48] Operation: 98-50=48
Exploring Operation: 99-98=1, Resulting Numbers: [50, 49, 1]
Generated Node #0,1: 47:[50, 49, 1] Operation: 99-98=1
Exploring Operation: 99-50=49, Resulting Numbers: [49, 98, 49]
Generated Node #0,2: 47:[49, 98, 49] Operation: 99-50=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[50, 49, 1], Operations: ['99-98=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49, 49]
Generated Node #0,1,0: 47:[49, 49] Operation: 50-1=49
Exploring Operation: 50*1=50, Resulting Numbers: [49, 50]
Generated Node #0,1,1: 47:[49, 50] Operation: 50*1=50
Exploring Operation: 49-1=48, Resulting Numbers: [50, 48]
Generated Node #0,1,2: 47:[50, 48] Operation: 49-1=48
Moving to Node #0,1,0
Current State: 47:[49, 49], Operations: ['99-98=1', '50-1=49']
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,47 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[50, 48], Operations: ['99-98=1', '49-1=48']
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,47 unequal: No Solution
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[49, 50], Operations: ['99-98=1', '50*1=50']
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 49*50=2450, Resulting Numbers: [2450]
2450,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[99, 49, 48], Operations: ['98-50=48']
Exploring Operation: 99-49=50, Resulting Numbers: [48, 50]
Generated Node #0,0,0: 47:[48, 50] Operation: 99-49=50
Exploring Operation: 49-48=1, Resulting Numbers: [99, 1]
Generated Node #0,0,1: 47:[99, 1] Operation: 49-48=1
Exploring Operation: 99-48=51, Resulting Numbers: [49, 51]
Generated Node #0,0,2: 47:[49, 51] Operation: 99-48=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[48, 50], Operations: ['98-50=48', '99-49=50']
Exploring Operation: 48*50=2400, Resulting Numbers: [2400]
2400,47 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[49, 51], Operations: ['98-50=48', '99-48=51']
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 49*51=2499, Resulting Numbers: [2499]
2499,47 unequal: No Solution
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[99, 1], Operations: ['98-50=48', '49-48=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,47 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[49, 98, 49], Operations: ['99-50=49']
Exploring Operation: 98-49=49, Resulting Numbers: [49, 49]
Generated Node #0,2,0: 47:[49, 49] Operation: 98-49=49
Exploring Operation: 98-49=49, Resulting Numbers: [49, 49]
Generated Node #0,2,1: 47:[49, 49] Operation: 98-49=49
Exploring Operation: 98/49=2, Resulting Numbers: [49, 2]
Generated Node #0,2,2: 47:[49, 2] Operation: 98/49=2
Moving to Node #0,2,0
Current State: 47:[49, 49], Operations: ['99-50=49', '98-49=49']
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,47 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[49, 49], Operations: ['99-50=49', '98-49=49']
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,47 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[49, 2], Operations: ['99-50=49', '98/49=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[99, 50, 49, 98], Operations: []
Exploring Operation: 99-50=49, Resulting Numbers: [49, 98, 49]
Generated Node #0,2: 47:[49, 98, 49] Operation: 99-50=49
Moving to Node #0,2
Current State: 47:[49, 98, 49], Operations: ['99-50=49']
Exploring Operation: 98/49=2, Resulting Numbers: [49, 2]
Generated Node #0,2,2: 47:[49, 2] Operation: 98/49=2
Moving to Node #0,2,2
Current State: 47:[49, 2], Operations: ['99-50=49', '98/49=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_3 | mult_heuristic |
[
77,
16,
35,
65
] | 55 | [
"77*35=2695",
"65-16=49",
"2695/49=55"
] | Current State: 55:[77, 16, 35, 65], Operations: []
Exploring Operation: 77*35=2695, Resulting Numbers: [16, 65, 2695]
Generated Node #2: [16, 65, 2695] from Operation: 77*35=2695
Current State: 55:[16, 65, 2695], Operations: ['77*35=2695']
Exploring Operation: 65-16=49, Resulting Numbers: [2695, 49]
Generated Node #3: [2695, 49] from Operation: 65-16=49
Current State: 55:[2695, 49], Operations: ['77*35=2695', '65-16=49']
Exploring Operation: 2695/49=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[77, 16, 35, 65], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [16, 35, 12]
Generated Node #0,0: 55:[16, 35, 12] Operation: 77-65=12
Moving to Node #0,0
Current State: 55:[16, 35, 12], Operations: ['77-65=12']
Exploring Operation: 16+35=51, Resulting Numbers: [12, 51]
Generated Node #0,0,0: 55:[12, 51] Operation: 16+35=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[12, 51], Operations: ['77-65=12', '16+35=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,55 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 |
[
49,
85,
70,
47
] | 50 | [
"49-47=2",
"70/2=35",
"85-35=50"
] | Current State: 50:[49, 85, 70, 47], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [85, 70, 2]
Generated Node #2: [85, 70, 2] from Operation: 49-47=2
Current State: 50:[85, 70, 2], Operations: ['49-47=2']
Exploring Operation: 70/2=35, Resulting Numbers: [85, 35]
Generated Node #3: [85, 35] from Operation: 70/2=35
Current State: 50:[85, 35], Operations: ['49-47=2', '70/2=35']
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[49, 85, 70, 47], Operations: []
Exploring Operation: 85-70=15, Resulting Numbers: [49, 47, 15]
Generated Node #0,0: 50:[49, 47, 15] Operation: 85-70=15
Exploring Operation: 70-49=21, Resulting Numbers: [85, 47, 21]
Generated Node #0,1: 50:[85, 47, 21] Operation: 70-49=21
Exploring Operation: 85-49=36, Resulting Numbers: [70, 47, 36]
Generated Node #0,2: 50:[70, 47, 36] Operation: 85-49=36
Exploring Operation: 70-47=23, Resulting Numbers: [49, 85, 23]
Generated Node #0,3: 50:[49, 85, 23] Operation: 70-47=23
Exploring Operation: 85-47=38, Resulting Numbers: [49, 70, 38]
Generated Node #0,4: 50:[49, 70, 38] Operation: 85-47=38
Moving to Node #0,0
Current State: 50:[49, 47, 15], Operations: ['85-70=15']
Exploring Operation: 49+15=64, Resulting Numbers: [47, 64]
Generated Node #0,0,0: 50:[47, 64] Operation: 49+15=64
Exploring Operation: 49-47=2, Resulting Numbers: [15, 2]
Generated Node #0,0,1: 50:[15, 2] Operation: 49-47=2
Exploring Operation: 47-15=32, Resulting Numbers: [49, 32]
Generated Node #0,0,2: 50:[49, 32] Operation: 47-15=32
Exploring Operation: 47+15=62, Resulting Numbers: [49, 62]
Generated Node #0,0,3: 50:[49, 62] Operation: 47+15=62
Exploring Operation: 49-15=34, Resulting Numbers: [47, 34]
Generated Node #0,0,4: 50:[47, 34] Operation: 49-15=34
Moving to Node #0,4
Current State: 50:[49, 70, 38], Operations: ['85-47=38']
Exploring Operation: 70+38=108, Resulting Numbers: [49, 108]
Generated Node #0,4,0: 50:[49, 108] Operation: 70+38=108
Exploring Operation: 49+38=87, Resulting Numbers: [70, 87]
Generated Node #0,4,1: 50:[70, 87] Operation: 49+38=87
Exploring Operation: 70-38=32, Resulting Numbers: [49, 32]
Generated Node #0,4,2: 50:[49, 32] Operation: 70-38=32
Exploring Operation: 49-38=11, Resulting Numbers: [70, 11]
Generated Node #0,4,3: 50:[70, 11] Operation: 49-38=11
Exploring Operation: 70-49=21, Resulting Numbers: [38, 21]
Generated Node #0,4,4: 50:[38, 21] Operation: 70-49=21
Moving to Node #0,2
Current State: 50:[70, 47, 36], Operations: ['85-49=36']
Exploring Operation: 70-36=34, Resulting Numbers: [47, 34]
Generated Node #0,2,0: 50:[47, 34] Operation: 70-36=34
Exploring Operation: 47-36=11, Resulting Numbers: [70, 11]
Generated Node #0,2,1: 50:[70, 11] Operation: 47-36=11
Exploring Operation: 70-47=23, Resulting Numbers: [36, 23]
Generated Node #0,2,2: 50:[36, 23] Operation: 70-47=23
Exploring Operation: 47+36=83, Resulting Numbers: [70, 83]
Generated Node #0,2,3: 50:[70, 83] Operation: 47+36=83
Exploring Operation: 70+36=106, Resulting Numbers: [47, 106]
Generated Node #0,2,4: 50:[47, 106] Operation: 70+36=106
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[47, 34], Operations: ['85-49=36', '70-36=34']
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,50 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[36, 23], Operations: ['85-49=36', '70-47=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[70, 11], Operations: ['85-49=36', '47-36=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 50:[70, 83], Operations: ['85-49=36', '47+36=83']
Exploring Operation: 70+83=153, Resulting Numbers: [153]
153,50 unequal: No Solution
Exploring Operation: 70*83=5810, Resulting Numbers: [5810]
5810,50 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 50:[47, 106], Operations: ['85-49=36', '70+36=106']
Exploring Operation: 47*106=4982, Resulting Numbers: [4982]
4982,50 unequal: No Solution
Exploring Operation: 47+106=153, Resulting Numbers: [153]
153,50 unequal: No Solution
Exploring Operation: 106-47=59, Resulting Numbers: [59]
59,50 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: 50:[49, 85, 23], Operations: ['70-47=23']
Exploring Operation: 85-23=62, Resulting Numbers: [49, 62]
Generated Node #0,3,0: 50:[49, 62] Operation: 85-23=62
Exploring Operation: 85+23=108, Resulting Numbers: [49, 108]
Generated Node #0,3,1: 50:[49, 108] Operation: 85+23=108
Exploring Operation: 49+23=72, Resulting Numbers: [85, 72]
Generated Node #0,3,2: 50:[85, 72] Operation: 49+23=72
Exploring Operation: 85-49=36, Resulting Numbers: [23, 36]
Generated Node #0,3,3: 50:[23, 36] Operation: 85-49=36
Exploring Operation: 49-23=26, Resulting Numbers: [85, 26]
Generated Node #0,3,4: 50:[85, 26] Operation: 49-23=26
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 50:[49, 62], Operations: ['70-47=23', '85-23=62']
Exploring Operation: 49*62=3038, Resulting Numbers: [3038]
3038,50 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 50:[23, 36], Operations: ['70-47=23', '85-49=36']
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,50 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 50:[85, 26], Operations: ['70-47=23', '49-23=26']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,50 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 50:[85, 72], Operations: ['70-47=23', '49+23=72']
Exploring Operation: 85+72=157, Resulting Numbers: [157]
157,50 unequal: No Solution
Exploring Operation: 85*72=6120, Resulting Numbers: [6120]
6120,50 unequal: No Solution
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 50:[49, 108], Operations: ['70-47=23', '85+23=108']
Exploring Operation: 108-49=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 49*108=5292, Resulting Numbers: [5292]
5292,50 unequal: No Solution
Exploring Operation: 49+108=157, Resulting Numbers: [157]
157,50 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: 50:[85, 47, 21], Operations: ['70-49=21']
Exploring Operation: 47-21=26, Resulting Numbers: [85, 26]
Generated Node #0,1,0: 50:[85, 26] Operation: 47-21=26
Exploring Operation: 85-47=38, Resulting Numbers: [21, 38]
Generated Node #0,1,1: 50:[21, 38] Operation: 85-47=38
Exploring Operation: 85-21=64, Resulting Numbers: [47, 64]
Generated Node #0,1,2: 50:[47, 64] Operation: 85-21=64
Exploring Operation: 85+21=106, Resulting Numbers: [47, 106]
Generated Node #0,1,3: 50:[47, 106] Operation: 85+21=106
Exploring Operation: 47+21=68, Resulting Numbers: [85, 68]
Generated Node #0,1,4: 50:[85, 68] Operation: 47+21=68
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[21, 38], Operations: ['70-49=21', '85-47=38']
Exploring Operation: 21*38=798, Resulting Numbers: [798]
798,50 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[47, 64], Operations: ['70-49=21', '85-21=64']
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,50 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[85, 26], Operations: ['70-49=21', '47-21=26']
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,50 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 50:[85, 68], Operations: ['70-49=21', '47+21=68']
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,50 unequal: No Solution
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,50 unequal: No Solution
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 50:[47, 106], Operations: ['70-49=21', '85+21=106']
Exploring Operation: 106-47=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 47*106=4982, Resulting Numbers: [4982]
4982,50 unequal: No Solution
Exploring Operation: 47+106=153, Resulting Numbers: [153]
153,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 50:[15, 2], Operations: ['85-70=15', '49-47=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Moving to Node #0,4,2
Current State: 50:[49, 32], Operations: ['85-47=38', '70-38=32']
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,50 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[49, 32], Operations: ['85-70=15', '47-15=32']
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,50 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Moving to Node #0,0,4
Current State: 50:[47, 34], Operations: ['85-70=15', '49-15=34']
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,50 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[49, 62], Operations: ['85-70=15', '47+15=62']
Exploring Operation: 49*62=3038, Resulting Numbers: [3038]
3038,50 unequal: No Solution
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,50 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Moving to Node #0,4,4
Current State: 50:[38, 21], Operations: ['85-47=38', '70-49=21']
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,50 unequal: No Solution
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[47, 64], Operations: ['85-70=15', '49+15=64']
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,50 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,50 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Moving to Node #0,4,3
Current State: 50:[70, 11], Operations: ['85-47=38', '49-38=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,50 unequal: No Solution
Moving to Node #0,4,1
Current State: 50:[70, 87], Operations: ['85-47=38', '49+38=87']
Exploring Operation: 70+87=157, Resulting Numbers: [157]
157,50 unequal: No Solution
Exploring Operation: 87-70=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 70*87=6090, Resulting Numbers: [6090]
6090,50 unequal: No Solution
Moving to Node #0,4,0
Current State: 50:[49, 108], Operations: ['85-47=38', '70+38=108']
Exploring Operation: 108-49=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 49+108=157, Resulting Numbers: [157]
157,50 unequal: No Solution
Exploring Operation: 49*108=5292, Resulting Numbers: [5292]
5292,50 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
23,
30,
67,
33
] | 92 | [
"67-30=37",
"37-33=4",
"23*4=92"
] | Current State: 92:[23, 30, 67, 33], Operations: []
Exploring Operation: 67-30=37, Resulting Numbers: [23, 33, 37]
Generated Node #2: [23, 33, 37] from Operation: 67-30=37
Current State: 92:[23, 33, 37], Operations: ['67-30=37']
Exploring Operation: 37-33=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 37-33=4
Current State: 92:[23, 4], Operations: ['67-30=37', '37-33=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[23, 30, 67, 33], Operations: []
Exploring Operation: 30+67=97, Resulting Numbers: [23, 33, 97]
Generated Node #0,0: 92:[23, 33, 97] Operation: 30+67=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[23, 33, 97], Operations: ['30+67=97']
Exploring Operation: 33-23=10, Resulting Numbers: [97, 10]
Generated Node #0,0,0: 92:[97, 10] Operation: 33-23=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[97, 10], Operations: ['30+67=97', '33-23=10']
Exploring Operation: 97-10=87, Resulting Numbers: [87]
87,92 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_1 | sum_heuristic |
[
63,
28,
20,
3
] | 47 | [
"28+20=48",
"48/3=16",
"63-16=47"
] | Current State: 47:[63, 28, 20, 3], Operations: []
Exploring Operation: 28+20=48, Resulting Numbers: [63, 3, 48]
Generated Node #2: [63, 3, 48] from Operation: 28+20=48
Current State: 47:[63, 3, 48], Operations: ['28+20=48']
Exploring Operation: 48/3=16, Resulting Numbers: [63, 16]
Generated Node #3: [63, 16] from Operation: 48/3=16
Current State: 47:[63, 16], Operations: ['28+20=48', '48/3=16']
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[63, 28, 20, 3], Operations: []
Exploring Operation: 63-3=60, Resulting Numbers: [28, 20, 60]
Generated Node #0,0: 47:[28, 20, 60] Operation: 63-3=60
Exploring Operation: 20*3=60, Resulting Numbers: [63, 28, 60]
Generated Node #0,1: 47:[63, 28, 60] Operation: 20*3=60
Moving to Node #0,1
Current State: 47:[63, 28, 60], Operations: ['20*3=60']
Exploring Operation: 63-28=35, Resulting Numbers: [60, 35]
Generated Node #0,1,0: 47:[60, 35] Operation: 63-28=35
Exploring Operation: 60-28=32, Resulting Numbers: [63, 32]
Generated Node #0,1,1: 47:[63, 32] Operation: 60-28=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[60, 35], Operations: ['20*3=60', '63-28=35']
Exploring Operation: 60+35=95, Resulting Numbers: [95]
95,47 unequal: No Solution
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[63, 32], Operations: ['20*3=60', '60-28=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,47 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: 47:[28, 20, 60], Operations: ['63-3=60']
Exploring Operation: 60-20=40, Resulting Numbers: [28, 40]
Generated Node #0,0,0: 47:[28, 40] Operation: 60-20=40
Exploring Operation: 28+20=48, Resulting Numbers: [60, 48]
Generated Node #0,0,1: 47:[60, 48] Operation: 28+20=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[60, 48], Operations: ['63-3=60', '28+20=48']
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 60+48=108, Resulting Numbers: [108]
108,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[28, 40], Operations: ['63-3=60', '60-20=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,47 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 |
[
45,
48,
53,
60
] | 54 | [
"53-45=8",
"48/8=6",
"60-6=54"
] | Current State: 54:[45, 48, 53, 60], Operations: []
Exploring Operation: 53-45=8, Resulting Numbers: [48, 60, 8]
Generated Node #2: [48, 60, 8] from Operation: 53-45=8
Current State: 54:[48, 60, 8], Operations: ['53-45=8']
Exploring Operation: 48/8=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 48/8=6
Current State: 54:[60, 6], Operations: ['53-45=8', '48/8=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[45, 48, 53, 60], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [48, 53, 15]
Generated Node #0,0: 54:[48, 53, 15] Operation: 60-45=15
Exploring Operation: 53-45=8, Resulting Numbers: [48, 60, 8]
Generated Node #0,1: 54:[48, 60, 8] Operation: 53-45=8
Exploring Operation: 53-48=5, Resulting Numbers: [45, 60, 5]
Generated Node #0,2: 54:[45, 60, 5] Operation: 53-48=5
Exploring Operation: 48-45=3, Resulting Numbers: [53, 60, 3]
Generated Node #0,3: 54:[53, 60, 3] Operation: 48-45=3
Exploring Operation: 60-48=12, Resulting Numbers: [45, 53, 12]
Generated Node #0,4: 54:[45, 53, 12] Operation: 60-48=12
Moving to Node #0,3
Current State: 54:[53, 60, 3], Operations: ['48-45=3']
Exploring Operation: 53-3=50, Resulting Numbers: [60, 50]
Generated Node #0,3,0: 54:[60, 50] Operation: 53-3=50
Exploring Operation: 53+3=56, Resulting Numbers: [60, 56]
Generated Node #0,3,1: 54:[60, 56] Operation: 53+3=56
Exploring Operation: 60-53=7, Resulting Numbers: [3, 7]
Generated Node #0,3,2: 54:[3, 7] Operation: 60-53=7
Exploring Operation: 60-3=57, Resulting Numbers: [53, 57]
Generated Node #0,3,3: 54:[53, 57] Operation: 60-3=57
Exploring Operation: 60/3=20, Resulting Numbers: [53, 20]
Generated Node #0,3,4: 54:[53, 20] Operation: 60/3=20
Moving to Node #0,0
Current State: 54:[48, 53, 15], Operations: ['60-45=15']
Exploring Operation: 53-15=38, Resulting Numbers: [48, 38]
Generated Node #0,0,0: 54:[48, 38] Operation: 53-15=38
Exploring Operation: 48+15=63, Resulting Numbers: [53, 63]
Generated Node #0,0,1: 54:[53, 63] Operation: 48+15=63
Exploring Operation: 53-48=5, Resulting Numbers: [15, 5]
Generated Node #0,0,2: 54:[15, 5] Operation: 53-48=5
Exploring Operation: 48-15=33, Resulting Numbers: [53, 33]
Generated Node #0,0,3: 54:[53, 33] Operation: 48-15=33
Exploring Operation: 53+15=68, Resulting Numbers: [48, 68]
Generated Node #0,0,4: 54:[48, 68] Operation: 53+15=68
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 54:[15, 5], Operations: ['60-45=15', '53-48=5']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 54:[53, 33], Operations: ['60-45=15', '48-15=33']
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,54 unequal: No Solution
Exploring Operation: 53*33=1749, Resulting Numbers: [1749]
1749,54 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[53, 63], Operations: ['60-45=15', '48+15=63']
Exploring Operation: 53*63=3339, Resulting Numbers: [3339]
3339,54 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 53+63=116, Resulting Numbers: [116]
116,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[48, 38], Operations: ['60-45=15', '53-15=38']
Exploring Operation: 48+38=86, Resulting Numbers: [86]
86,54 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 48*38=1824, Resulting Numbers: [1824]
1824,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 54:[48, 68], Operations: ['60-45=15', '53+15=68']
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,54 unequal: No Solution
Exploring Operation: 48*68=3264, Resulting Numbers: [3264]
3264,54 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,54 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: 54:[48, 60, 8], Operations: ['53-45=8']
Exploring Operation: 48+8=56, Resulting Numbers: [60, 56]
Generated Node #0,1,0: 54:[60, 56] Operation: 48+8=56
Exploring Operation: 60-8=52, Resulting Numbers: [48, 52]
Generated Node #0,1,1: 54:[48, 52] Operation: 60-8=52
Exploring Operation: 48-8=40, Resulting Numbers: [60, 40]
Generated Node #0,1,2: 54:[60, 40] Operation: 48-8=40
Exploring Operation: 48/8=6, Resulting Numbers: [60, 6]
Generated Node #0,1,3: 54:[60, 6] Operation: 48/8=6
Exploring Operation: 60-48=12, Resulting Numbers: [8, 12]
Generated Node #0,1,4: 54:[8, 12] Operation: 60-48=12
Moving to Node #0,4
Current State: 54:[45, 53, 12], Operations: ['60-48=12']
Exploring Operation: 53+12=65, Resulting Numbers: [45, 65]
Generated Node #0,4,0: 54:[45, 65] Operation: 53+12=65
Exploring Operation: 53-12=41, Resulting Numbers: [45, 41]
Generated Node #0,4,1: 54:[45, 41] Operation: 53-12=41
Exploring Operation: 45-12=33, Resulting Numbers: [53, 33]
Generated Node #0,4,2: 54:[53, 33] Operation: 45-12=33
Exploring Operation: 45+12=57, Resulting Numbers: [53, 57]
Generated Node #0,4,3: 54:[53, 57] Operation: 45+12=57
Exploring Operation: 53-45=8, Resulting Numbers: [12, 8]
Generated Node #0,4,4: 54:[12, 8] Operation: 53-45=8
Moving to Node #0,2
Current State: 54:[45, 60, 5], Operations: ['53-48=5']
Exploring Operation: 60/5=12, Resulting Numbers: [45, 12]
Generated Node #0,2,0: 54:[45, 12] Operation: 60/5=12
Exploring Operation: 45/5=9, Resulting Numbers: [60, 9]
Generated Node #0,2,1: 54:[60, 9] Operation: 45/5=9
Exploring Operation: 60-45=15, Resulting Numbers: [5, 15]
Generated Node #0,2,2: 54:[5, 15] Operation: 60-45=15
Exploring Operation: 60-5=55, Resulting Numbers: [45, 55]
Generated Node #0,2,3: 54:[45, 55] Operation: 60-5=55
Exploring Operation: 45+5=50, Resulting Numbers: [60, 50]
Generated Node #0,2,4: 54:[60, 50] Operation: 45+5=50
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 54:[5, 15], Operations: ['53-48=5', '60-45=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 54:[60, 9], Operations: ['53-48=5', '45/5=9']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,54 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,54 unequal: No Solution
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 54:[45, 55], Operations: ['53-48=5', '60-5=55']
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,54 unequal: No Solution
Exploring Operation: 45*55=2475, Resulting Numbers: [2475]
2475,54 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 54:[60, 50], Operations: ['53-48=5', '45+5=50']
Exploring Operation: 60*50=3000, Resulting Numbers: [3000]
3000,54 unequal: No Solution
Exploring Operation: 60+50=110, Resulting Numbers: [110]
110,54 unequal: No Solution
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 54:[45, 12], Operations: ['53-48=5', '60/5=12']
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 54:[3, 7], Operations: ['48-45=3', '60-53=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,54 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Moving to Node #0,3,4
Current State: 54:[53, 20], Operations: ['48-45=3', '60/3=20']
Exploring Operation: 53*20=1060, Resulting Numbers: [1060]
1060,54 unequal: No Solution
Exploring Operation: 53+20=73, Resulting Numbers: [73]
73,54 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[53, 57], Operations: ['48-45=3', '60-3=57']
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 53+57=110, Resulting Numbers: [110]
110,54 unequal: No Solution
Exploring Operation: 53*57=3021, Resulting Numbers: [3021]
3021,54 unequal: No Solution
Moving to Node #0,1,4
Current State: 54:[8, 12], Operations: ['53-45=8', '60-48=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,54 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Moving to Node #0,4,4
Current State: 54:[12, 8], Operations: ['60-48=12', '53-45=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,54 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Moving to Node #0,4,3
Current State: 54:[53, 57], Operations: ['60-48=12', '45+12=57']
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 53*57=3021, Resulting Numbers: [3021]
3021,54 unequal: No Solution
Exploring Operation: 53+57=110, Resulting Numbers: [110]
110,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[60, 6], Operations: ['53-45=8', '48/8=6']
Exploring Operation: 60*6=360, Resulting Numbers: [360]
360,54 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,54 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[45, 48, 53, 60], Operations: []
Exploring Operation: 53-45=8, Resulting Numbers: [48, 60, 8]
Generated Node #0,1: 54:[48, 60, 8] Operation: 53-45=8
Moving to Node #0,1
Current State: 54:[48, 60, 8], Operations: ['53-45=8']
Exploring Operation: 48/8=6, Resulting Numbers: [60, 6]
Generated Node #0,1,3: 54:[60, 6] Operation: 48/8=6
Moving to Node #0,1,3
Current State: 54:[60, 6], Operations: ['53-45=8', '48/8=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.923611 | hs_5 | mult_heuristic |
[
26,
26,
38,
65
] | 79 | [
"26+26=52",
"65-38=27",
"52+27=79"
] | Current State: 79:[26, 26, 38, 65], Operations: []
Exploring Operation: 26+26=52, Resulting Numbers: [38, 65, 52]
Generated Node #2: [38, 65, 52] from Operation: 26+26=52
Current State: 79:[38, 65, 52], Operations: ['26+26=52']
Exploring Operation: 65-38=27, Resulting Numbers: [52, 27]
Generated Node #3: [52, 27] from Operation: 65-38=27
Current State: 79:[52, 27], Operations: ['26+26=52', '65-38=27']
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[26, 26, 38, 65], Operations: []
Exploring Operation: 26+26=52, Resulting Numbers: [38, 65, 52]
Generated Node #0,0: 79:[38, 65, 52] Operation: 26+26=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[38, 65, 52], Operations: ['26+26=52']
Exploring Operation: 38+52=90, Resulting Numbers: [65, 90]
Generated Node #0,0,0: 79:[65, 90] Operation: 38+52=90
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[65, 90], Operations: ['26+26=52', '38+52=90']
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,79 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
37,
33,
82,
84
] | 41 | [
"84-82=2",
"37*2=74",
"74-33=41"
] | Current State: 41:[37, 33, 82, 84], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [37, 33, 2]
Generated Node #2: [37, 33, 2] from Operation: 84-82=2
Current State: 41:[37, 33, 2], Operations: ['84-82=2']
Exploring Operation: 37*2=74, Resulting Numbers: [33, 74]
Generated Node #3: [33, 74] from Operation: 37*2=74
Current State: 41:[33, 74], Operations: ['84-82=2', '37*2=74']
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[37, 33, 82, 84], Operations: []
Exploring Operation: 84-37=47, Resulting Numbers: [33, 82, 47]
Generated Node #0,0: 41:[33, 82, 47] Operation: 84-37=47
Exploring Operation: 84-33=51, Resulting Numbers: [37, 82, 51]
Generated Node #0,1: 41:[37, 82, 51] Operation: 84-33=51
Exploring Operation: 82-37=45, Resulting Numbers: [33, 84, 45]
Generated Node #0,2: 41:[33, 84, 45] Operation: 82-37=45
Exploring Operation: 82-33=49, Resulting Numbers: [37, 84, 49]
Generated Node #0,3: 41:[37, 84, 49] Operation: 82-33=49
Exploring Operation: 84-82=2, Resulting Numbers: [37, 33, 2]
Generated Node #0,4: 41:[37, 33, 2] Operation: 84-82=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 41:[37, 33, 2], Operations: ['84-82=2']
Exploring Operation: 37-2=35, Resulting Numbers: [33, 35]
Generated Node #0,4,0: 41:[33, 35] Operation: 37-2=35
Exploring Operation: 37+2=39, Resulting Numbers: [33, 39]
Generated Node #0,4,1: 41:[33, 39] Operation: 37+2=39
Exploring Operation: 33*2=66, Resulting Numbers: [37, 66]
Generated Node #0,4,2: 41:[37, 66] Operation: 33*2=66
Exploring Operation: 33+2=35, Resulting Numbers: [37, 35]
Generated Node #0,4,3: 41:[37, 35] Operation: 33+2=35
Exploring Operation: 33-2=31, Resulting Numbers: [37, 31]
Generated Node #0,4,4: 41:[37, 31] Operation: 33-2=31
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 41:[33, 39], Operations: ['84-82=2', '37+2=39']
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,41 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 41:[37, 35], Operations: ['84-82=2', '33+2=35']
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,41 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 41:[33, 35], Operations: ['84-82=2', '37-2=35']
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,41 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 41:[37, 31], Operations: ['84-82=2', '33-2=31']
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 41:[37, 66], Operations: ['84-82=2', '33*2=66']
Exploring Operation: 37*66=2442, Resulting Numbers: [2442]
2442,41 unequal: No Solution
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 37+66=103, Resulting Numbers: [103]
103,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[33, 82, 47], Operations: ['84-37=47']
Exploring Operation: 82-47=35, Resulting Numbers: [33, 35]
Generated Node #0,0,0: 41:[33, 35] Operation: 82-47=35
Exploring Operation: 82-33=49, Resulting Numbers: [47, 49]
Generated Node #0,0,1: 41:[47, 49] Operation: 82-33=49
Exploring Operation: 47-33=14, Resulting Numbers: [82, 14]
Generated Node #0,0,2: 41:[82, 14] Operation: 47-33=14
Exploring Operation: 33+47=80, Resulting Numbers: [82, 80]
Generated Node #0,0,3: 41:[82, 80] Operation: 33+47=80
Exploring Operation: 33+82=115, Resulting Numbers: [47, 115]
Generated Node #0,0,4: 41:[47, 115] Operation: 33+82=115
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[33, 35], Operations: ['84-37=47', '82-47=35']
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,41 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[47, 49], Operations: ['84-37=47', '82-33=49']
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 47*49=2303, Resulting Numbers: [2303]
2303,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[82, 14], Operations: ['84-37=47', '47-33=14']
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,41 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 41:[82, 80], Operations: ['84-37=47', '33+47=80']
Exploring Operation: 82*80=6560, Resulting Numbers: [6560]
6560,41 unequal: No Solution
Exploring Operation: 82+80=162, Resulting Numbers: [162]
162,41 unequal: No Solution
Exploring Operation: 82-80=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 41:[47, 115], Operations: ['84-37=47', '33+82=115']
Exploring Operation: 115-47=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 47*115=5405, Resulting Numbers: [5405]
5405,41 unequal: No Solution
Exploring Operation: 47+115=162, Resulting Numbers: [162]
162,41 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:[37, 82, 51], Operations: ['84-33=51']
Exploring Operation: 37+82=119, Resulting Numbers: [51, 119]
Generated Node #0,1,0: 41:[51, 119] Operation: 37+82=119
Exploring Operation: 82-51=31, Resulting Numbers: [37, 31]
Generated Node #0,1,1: 41:[37, 31] Operation: 82-51=31
Exploring Operation: 37+51=88, Resulting Numbers: [82, 88]
Generated Node #0,1,2: 41:[82, 88] Operation: 37+51=88
Exploring Operation: 51-37=14, Resulting Numbers: [82, 14]
Generated Node #0,1,3: 41:[82, 14] Operation: 51-37=14
Exploring Operation: 82-37=45, Resulting Numbers: [51, 45]
Generated Node #0,1,4: 41:[51, 45] Operation: 82-37=45
Moving to Node #0,1,1
Current State: 41:[37, 31], Operations: ['84-33=51', '82-51=31']
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,41 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[51, 45], Operations: ['84-33=51', '82-37=45']
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 51*45=2295, Resulting Numbers: [2295]
2295,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[82, 14], Operations: ['84-33=51', '51-37=14']
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,41 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[51, 119], Operations: ['84-33=51', '37+82=119']
Exploring Operation: 51+119=170, Resulting Numbers: [170]
170,41 unequal: No Solution
Exploring Operation: 119-51=68, Resulting Numbers: [68]
68,41 unequal: No Solution
Exploring Operation: 51*119=6069, Resulting Numbers: [6069]
6069,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[82, 88], Operations: ['84-33=51', '37+51=88']
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 82+88=170, Resulting Numbers: [170]
170,41 unequal: No Solution
Exploring Operation: 82*88=7216, Resulting Numbers: [7216]
7216,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[33, 84, 45], Operations: ['82-37=45']
Exploring Operation: 33+84=117, Resulting Numbers: [45, 117]
Generated Node #0,2,0: 41:[45, 117] Operation: 33+84=117
Exploring Operation: 84-33=51, Resulting Numbers: [45, 51]
Generated Node #0,2,1: 41:[45, 51] Operation: 84-33=51
Exploring Operation: 45-33=12, Resulting Numbers: [84, 12]
Generated Node #0,2,2: 41:[84, 12] Operation: 45-33=12
Exploring Operation: 33+45=78, Resulting Numbers: [84, 78]
Generated Node #0,2,3: 41:[84, 78] Operation: 33+45=78
Exploring Operation: 84-45=39, Resulting Numbers: [33, 39]
Generated Node #0,2,4: 41:[33, 39] Operation: 84-45=39
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 41:[33, 39], Operations: ['82-37=45', '84-45=39']
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,41 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,41 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:[45, 51], Operations: ['82-37=45', '84-33=51']
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 45+51=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 45*51=2295, Resulting Numbers: [2295]
2295,41 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:[84, 12], Operations: ['82-37=45', '45-33=12']
Exploring Operation: 84*12=1008, Resulting Numbers: [1008]
1008,41 unequal: No Solution
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,41 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:[45, 117], Operations: ['82-37=45', '33+84=117']
Exploring Operation: 45+117=162, Resulting Numbers: [162]
162,41 unequal: No Solution
Exploring Operation: 117-45=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 45*117=5265, Resulting Numbers: [5265]
5265,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 41:[84, 78], Operations: ['82-37=45', '33+45=78']
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 84*78=6552, Resulting Numbers: [6552]
6552,41 unequal: No Solution
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,41 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 #0,3
Current State: 41:[37, 84, 49], Operations: ['82-33=49']
Exploring Operation: 49-37=12, Resulting Numbers: [84, 12]
Generated Node #0,3,0: 41:[84, 12] Operation: 49-37=12
Exploring Operation: 84-49=35, Resulting Numbers: [37, 35]
Generated Node #0,3,1: 41:[37, 35] Operation: 84-49=35
Exploring Operation: 37+84=121, Resulting Numbers: [49, 121]
Generated Node #0,3,2: 41:[49, 121] Operation: 37+84=121
Exploring Operation: 84-37=47, Resulting Numbers: [49, 47]
Generated Node #0,3,3: 41:[49, 47] Operation: 84-37=47
Exploring Operation: 37+49=86, Resulting Numbers: [84, 86]
Generated Node #0,3,4: 41:[84, 86] Operation: 37+49=86
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 41:[37, 35], Operations: ['82-33=49', '84-49=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,41 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 #0,3,3
Current State: 41:[49, 47], Operations: ['82-33=49', '84-37=47']
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,41 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 #0,3,0
Current State: 41:[84, 12], Operations: ['82-33=49', '49-37=12']
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 84*12=1008, Resulting Numbers: [1008]
1008,41 unequal: No Solution
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,41 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:[49, 121], Operations: ['82-33=49', '37+84=121']
Exploring Operation: 121-49=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 49+121=170, Resulting Numbers: [170]
170,41 unequal: No Solution
Exploring Operation: 49*121=5929, Resulting Numbers: [5929]
5929,41 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 #0,3,4
Current State: 41:[84, 86], Operations: ['82-33=49', '37+49=86']
Exploring Operation: 84*86=7224, Resulting Numbers: [7224]
7224,41 unequal: No Solution
Exploring Operation: 86-84=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 84+86=170, Resulting Numbers: [170]
170,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
59,
14,
40,
18
] | 76 | [
"59-40=19",
"18-14=4",
"19*4=76"
] | Current State: 76:[59, 14, 40, 18], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [14, 18, 19]
Generated Node #2: [14, 18, 19] from Operation: 59-40=19
Current State: 76:[14, 18, 19], Operations: ['59-40=19']
Exploring Operation: 18-14=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 18-14=4
Current State: 76:[19, 4], Operations: ['59-40=19', '18-14=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[59, 14, 40, 18], Operations: []
Exploring Operation: 59+18=77, Resulting Numbers: [14, 40, 77]
Generated Node #0,0: 76:[14, 40, 77] Operation: 59+18=77
Exploring Operation: 59-18=41, Resulting Numbers: [14, 40, 41]
Generated Node #0,1: 76:[14, 40, 41] Operation: 59-18=41
Exploring Operation: 59-40=19, Resulting Numbers: [14, 18, 19]
Generated Node #0,2: 76:[14, 18, 19] Operation: 59-40=19
Exploring Operation: 59+14=73, Resulting Numbers: [40, 18, 73]
Generated Node #0,3: 76:[40, 18, 73] Operation: 59+14=73
Exploring Operation: 59-14=45, Resulting Numbers: [40, 18, 45]
Generated Node #0,4: 76:[40, 18, 45] Operation: 59-14=45
Moving to Node #0,2
Current State: 76:[14, 18, 19], Operations: ['59-40=19']
Exploring Operation: 14+19=33, Resulting Numbers: [18, 33]
Generated Node #0,2,0: 76:[18, 33] Operation: 14+19=33
Exploring Operation: 18+19=37, Resulting Numbers: [14, 37]
Generated Node #0,2,1: 76:[14, 37] Operation: 18+19=37
Exploring Operation: 19-14=5, Resulting Numbers: [18, 5]
Generated Node #0,2,2: 76:[18, 5] Operation: 19-14=5
Exploring Operation: 18-14=4, Resulting Numbers: [19, 4]
Generated Node #0,2,3: 76:[19, 4] Operation: 18-14=4
Exploring Operation: 14+18=32, Resulting Numbers: [19, 32]
Generated Node #0,2,4: 76:[19, 32] Operation: 14+18=32
Moving to Node #0,3
Current State: 76:[40, 18, 73], Operations: ['59+14=73']
Exploring Operation: 73-18=55, Resulting Numbers: [40, 55]
Generated Node #0,3,0: 76:[40, 55] Operation: 73-18=55
Exploring Operation: 73-40=33, Resulting Numbers: [18, 33]
Generated Node #0,3,1: 76:[18, 33] Operation: 73-40=33
Exploring Operation: 18+73=91, Resulting Numbers: [40, 91]
Generated Node #0,3,2: 76:[40, 91] Operation: 18+73=91
Exploring Operation: 40+18=58, Resulting Numbers: [73, 58]
Generated Node #0,3,3: 76:[73, 58] Operation: 40+18=58
Exploring Operation: 40-18=22, Resulting Numbers: [73, 22]
Generated Node #0,3,4: 76:[73, 22] Operation: 40-18=22
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[18, 33], Operations: ['59+14=73', '73-40=33']
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,76 unequal: No Solution
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 76:[73, 22], Operations: ['59+14=73', '40-18=22']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 73*22=1606, Resulting Numbers: [1606]
1606,76 unequal: No Solution
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 76:[40, 91], Operations: ['59+14=73', '18+73=91']
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 40*91=3640, Resulting Numbers: [3640]
3640,76 unequal: No Solution
Exploring Operation: 40+91=131, Resulting Numbers: [131]
131,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 76:[40, 55], Operations: ['59+14=73', '73-18=55']
Exploring Operation: 40*55=2200, Resulting Numbers: [2200]
2200,76 unequal: No Solution
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 40+55=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 76:[73, 58], Operations: ['59+14=73', '40+18=58']
Exploring Operation: 73*58=4234, Resulting Numbers: [4234]
4234,76 unequal: No Solution
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 73+58=131, Resulting Numbers: [131]
131,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 76:[14, 40, 77], Operations: ['59+18=77']
Exploring Operation: 77-14=63, Resulting Numbers: [40, 63]
Generated Node #0,0,0: 76:[40, 63] Operation: 77-14=63
Exploring Operation: 40-14=26, Resulting Numbers: [77, 26]
Generated Node #0,0,1: 76:[77, 26] Operation: 40-14=26
Exploring Operation: 14+77=91, Resulting Numbers: [40, 91]
Generated Node #0,0,2: 76:[40, 91] Operation: 14+77=91
Exploring Operation: 14+40=54, Resulting Numbers: [77, 54]
Generated Node #0,0,3: 76:[77, 54] Operation: 14+40=54
Exploring Operation: 77-40=37, Resulting Numbers: [14, 37]
Generated Node #0,0,4: 76:[14, 37] Operation: 77-40=37
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 76:[14, 37], Operations: ['59+18=77', '77-40=37']
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,76 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,76 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 #0,0,1
Current State: 76:[77, 26], Operations: ['59+18=77', '40-14=26']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 77*26=2002, Resulting Numbers: [2002]
2002,76 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 #0,0,0
Current State: 76:[40, 63], Operations: ['59+18=77', '77-14=63']
Exploring Operation: 40+63=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 40*63=2520, Resulting Numbers: [2520]
2520,76 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 #0,0,2
Current State: 76:[40, 91], Operations: ['59+18=77', '14+77=91']
Exploring Operation: 40*91=3640, Resulting Numbers: [3640]
3640,76 unequal: No Solution
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 40+91=131, Resulting Numbers: [131]
131,76 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 #0,0,3
Current State: 76:[77, 54], Operations: ['59+18=77', '14+40=54']
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 77+54=131, Resulting Numbers: [131]
131,76 unequal: No Solution
Exploring Operation: 77*54=4158, Resulting Numbers: [4158]
4158,76 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:[14, 40, 41], Operations: ['59-18=41']
Exploring Operation: 41-14=27, Resulting Numbers: [40, 27]
Generated Node #0,1,0: 76:[40, 27] Operation: 41-14=27
Exploring Operation: 40+41=81, Resulting Numbers: [14, 81]
Generated Node #0,1,1: 76:[14, 81] Operation: 40+41=81
Exploring Operation: 41-40=1, Resulting Numbers: [14, 1]
Generated Node #0,1,2: 76:[14, 1] Operation: 41-40=1
Exploring Operation: 14+40=54, Resulting Numbers: [41, 54]
Generated Node #0,1,3: 76:[41, 54] Operation: 14+40=54
Exploring Operation: 40-14=26, Resulting Numbers: [41, 26]
Generated Node #0,1,4: 76:[41, 26] Operation: 40-14=26
Moving to Node #0,4
Current State: 76:[40, 18, 45], Operations: ['59-14=45']
Exploring Operation: 45-18=27, Resulting Numbers: [40, 27]
Generated Node #0,4,0: 76:[40, 27] Operation: 45-18=27
Exploring Operation: 40+45=85, Resulting Numbers: [18, 85]
Generated Node #0,4,1: 76:[18, 85] Operation: 40+45=85
Exploring Operation: 45-40=5, Resulting Numbers: [18, 5]
Generated Node #0,4,2: 76:[18, 5] Operation: 45-40=5
Exploring Operation: 18+45=63, Resulting Numbers: [40, 63]
Generated Node #0,4,3: 76:[40, 63] Operation: 18+45=63
Exploring Operation: 40-18=22, Resulting Numbers: [45, 22]
Generated Node #0,4,4: 76:[45, 22] Operation: 40-18=22
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 76:[18, 5], Operations: ['59-14=45', '45-40=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,76 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 #0,4,0
Current State: 76:[40, 27], Operations: ['59-14=45', '45-18=27']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,76 unequal: No Solution
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,76 unequal: No Solution
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,76 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 #0,4,1
Current State: 76:[18, 85], Operations: ['59-14=45', '40+45=85']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 18+85=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 18*85=1530, Resulting Numbers: [1530]
1530,76 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 #0,4,4
Current State: 76:[45, 22], Operations: ['59-14=45', '40-18=22']
Exploring Operation: 45+22=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 45*22=990, Resulting Numbers: [990]
990,76 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,76 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 #0,4,3
Current State: 76:[40, 63], Operations: ['59-14=45', '18+45=63']
Exploring Operation: 40*63=2520, Resulting Numbers: [2520]
2520,76 unequal: No Solution
Exploring Operation: 40+63=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 76:[19, 4], Operations: ['59-40=19', '18-14=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[59, 14, 40, 18], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [14, 18, 19]
Generated Node #0,2: 76:[14, 18, 19] Operation: 59-40=19
Moving to Node #0,2
Current State: 76:[14, 18, 19], Operations: ['59-40=19']
Exploring Operation: 18-14=4, Resulting Numbers: [19, 4]
Generated Node #0,2,3: 76:[19, 4] Operation: 18-14=4
Moving to Node #0,2,3
Current State: 76:[19, 4], Operations: ['59-40=19', '18-14=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 0.928819 | hs_5 | sum_heuristic |
[
14,
5,
11,
14
] | 73 | [
"14*5=70",
"14-11=3",
"70+3=73"
] | Current State: 73:[14, 5, 11, 14], Operations: []
Exploring Operation: 14*5=70, Resulting Numbers: [11, 70]
Generated Node #2: [11, 70] from Operation: 14*5=70
Current State: 73:[11, 70], Operations: ['14*5=70']
Exploring Operation: 14-11=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 14-11=3
Current State: 73:[70, 3], Operations: ['14*5=70', '14-11=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[14, 5, 11, 14], Operations: []
Exploring Operation: 5*14=70, Resulting Numbers: [14, 11, 70]
Generated Node #0,0: 73:[14, 11, 70] Operation: 5*14=70
Exploring Operation: 14*5=70, Resulting Numbers: [11, 14, 70]
Generated Node #0,1: 73:[11, 14, 70] Operation: 14*5=70
Moving to Node #0,0
Current State: 73:[14, 11, 70], Operations: ['5*14=70']
Exploring Operation: 11+70=81, Resulting Numbers: [14, 81]
Generated Node #0,0,0: 73:[14, 81] Operation: 11+70=81
Exploring Operation: 14+11=25, Resulting Numbers: [70, 25]
Generated Node #0,0,1: 73:[70, 25] Operation: 14+11=25
Moving to Node #0,1
Current State: 73:[11, 14, 70], Operations: ['14*5=70']
Exploring Operation: 11+14=25, Resulting Numbers: [70, 25]
Generated Node #0,1,0: 73:[70, 25] Operation: 11+14=25
Exploring Operation: 11+70=81, Resulting Numbers: [14, 81]
Generated Node #0,1,1: 73:[14, 81] Operation: 11+70=81
Moving to Node #0,0,1
Current State: 73:[70, 25], Operations: ['5*14=70', '14+11=25']
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[70, 25], Operations: ['14*5=70', '11+14=25']
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[14, 81], Operations: ['5*14=70', '11+70=81']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,73 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[14, 81], Operations: ['14*5=70', '11+70=81']
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,73 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
20,
20,
16,
36
] | 90 | [
"20+20=40",
"36*40=1440",
"1440/16=90"
] | Current State: 90:[20, 20, 16, 36], Operations: []
Exploring Operation: 20+20=40, Resulting Numbers: [16, 36, 40]
Generated Node #2: [16, 36, 40] from Operation: 20+20=40
Current State: 90:[16, 36, 40], Operations: ['20+20=40']
Exploring Operation: 36*40=1440, Resulting Numbers: [16, 1440]
Generated Node #3: [16, 1440] from Operation: 36*40=1440
Current State: 90:[16, 1440], Operations: ['20+20=40', '36*40=1440']
Exploring Operation: 1440/16=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[20, 20, 16, 36], Operations: []
Exploring Operation: 36-20=16, Resulting Numbers: [20, 16, 16]
Generated Node #0,0: 90:[20, 16, 16] Operation: 36-20=16
Exploring Operation: 36-20=16, Resulting Numbers: [20, 16, 16]
Generated Node #0,1: 90:[20, 16, 16] Operation: 36-20=16
Moving to Node #0,0
Current State: 90:[20, 16, 16], Operations: ['36-20=16']
Exploring Operation: 20-16=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 90:[16, 4] Operation: 20-16=4
Exploring Operation: 20-16=4, Resulting Numbers: [16, 4]
Generated Node #0,0,1: 90:[16, 4] Operation: 20-16=4
Moving to Node #0,1
Current State: 90:[20, 16, 16], Operations: ['36-20=16']
Exploring Operation: 20-16=4, Resulting Numbers: [16, 4]
Generated Node #0,1,0: 90:[16, 4] Operation: 20-16=4
Exploring Operation: 20-16=4, Resulting Numbers: [16, 4]
Generated Node #0,1,1: 90:[16, 4] Operation: 20-16=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[16, 4], Operations: ['36-20=16', '20-16=4']
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,90 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[16, 4], Operations: ['36-20=16', '20-16=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,90 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: 90:[16, 4], Operations: ['36-20=16', '20-16=4']
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,90 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[16, 4], Operations: ['36-20=16', '20-16=4']
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,90 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,90 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
34,
33,
74,
42
] | 31 | [
"34-33=1",
"74-42=32",
"32-1=31"
] | Current State: 31:[34, 33, 74, 42], Operations: []
Exploring Operation: 34-33=1, Resulting Numbers: [74, 42, 1]
Generated Node #2: [74, 42, 1] from Operation: 34-33=1
Current State: 31:[74, 42, 1], Operations: ['34-33=1']
Exploring Operation: 74-42=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 74-42=32
Current State: 31:[1, 32], Operations: ['34-33=1', '74-42=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[34, 33, 74, 42], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [33, 42, 40]
Generated Node #0,0: 31:[33, 42, 40] Operation: 74-34=40
Exploring Operation: 74-33=41, Resulting Numbers: [34, 42, 41]
Generated Node #0,1: 31:[34, 42, 41] Operation: 74-33=41
Exploring Operation: 74-42=32, Resulting Numbers: [34, 33, 32]
Generated Node #0,2: 31:[34, 33, 32] Operation: 74-42=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[34, 33, 32], Operations: ['74-42=32']
Exploring Operation: 34-33=1, Resulting Numbers: [32, 1]
Generated Node #0,2,0: 31:[32, 1] Operation: 34-33=1
Exploring Operation: 33-32=1, Resulting Numbers: [34, 1]
Generated Node #0,2,1: 31:[34, 1] Operation: 33-32=1
Exploring Operation: 34-32=2, Resulting Numbers: [33, 2]
Generated Node #0,2,2: 31:[33, 2] Operation: 34-32=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[32, 1], Operations: ['74-42=32', '34-33=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[34, 33, 74, 42], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [34, 33, 32]
Generated Node #0,2: 31:[34, 33, 32] Operation: 74-42=32
Moving to Node #0,2
Current State: 31:[34, 33, 32], Operations: ['74-42=32']
Exploring Operation: 34-33=1, Resulting Numbers: [32, 1]
Generated Node #0,2,0: 31:[32, 1] Operation: 34-33=1
Moving to Node #0,2,0
Current State: 31:[32, 1], Operations: ['74-42=32', '34-33=1']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
6,
25,
82,
15
] | 33 | [
"6*15=90",
"82-25=57",
"90-57=33"
] | Current State: 33:[6, 25, 82, 15], Operations: []
Exploring Operation: 6*15=90, Resulting Numbers: [25, 82, 90]
Generated Node #2: [25, 82, 90] from Operation: 6*15=90
Current State: 33:[25, 82, 90], Operations: ['6*15=90']
Exploring Operation: 82-25=57, Resulting Numbers: [90, 57]
Generated Node #3: [90, 57] from Operation: 82-25=57
Current State: 33:[90, 57], Operations: ['6*15=90', '82-25=57']
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[6, 25, 82, 15], Operations: []
Exploring Operation: 25-15=10, Resulting Numbers: [6, 82, 10]
Generated Node #0,0: 33:[6, 82, 10] Operation: 25-15=10
Exploring Operation: 6+25=31, Resulting Numbers: [82, 15, 31]
Generated Node #0,1: 33:[82, 15, 31] Operation: 6+25=31
Exploring Operation: 82-15=67, Resulting Numbers: [6, 25, 67]
Generated Node #0,2: 33:[6, 25, 67] Operation: 82-15=67
Exploring Operation: 82-25=57, Resulting Numbers: [6, 15, 57]
Generated Node #0,3: 33:[6, 15, 57] Operation: 82-25=57
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[6, 15, 57], Operations: ['82-25=57']
Exploring Operation: 6+15=21, Resulting Numbers: [57, 21]
Generated Node #0,3,0: 33:[57, 21] Operation: 6+15=21
Exploring Operation: 57-6=51, Resulting Numbers: [15, 51]
Generated Node #0,3,1: 33:[15, 51] Operation: 57-6=51
Exploring Operation: 57-15=42, Resulting Numbers: [6, 42]
Generated Node #0,3,2: 33:[6, 42] Operation: 57-15=42
Exploring Operation: 15-6=9, Resulting Numbers: [57, 9]
Generated Node #0,3,3: 33:[57, 9] Operation: 15-6=9
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 33:[6, 42], Operations: ['82-25=57', '57-15=42']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 6*42=252, Resulting Numbers: [252]
252,33 unequal: No Solution
No 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: 33:[15, 51], Operations: ['82-25=57', '57-6=51']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 15*51=765, Resulting Numbers: [765]
765,33 unequal: No Solution
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,33 unequal: No Solution
No 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: 33:[57, 9], Operations: ['82-25=57', '15-6=9']
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,33 unequal: No Solution
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,33 unequal: No Solution
No 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: 33:[57, 21], Operations: ['82-25=57', '6+15=21']
Exploring Operation: 57-21=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 57*21=1197, Resulting Numbers: [1197]
1197,33 unequal: No Solution
Exploring Operation: 57+21=78, Resulting Numbers: [78]
78,33 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: 33:[6, 25, 67], Operations: ['82-15=67']
Exploring Operation: 6+25=31, Resulting Numbers: [67, 31]
Generated Node #0,2,0: 33:[67, 31] Operation: 6+25=31
Exploring Operation: 25-6=19, Resulting Numbers: [67, 19]
Generated Node #0,2,1: 33:[67, 19] Operation: 25-6=19
Exploring Operation: 67-6=61, Resulting Numbers: [25, 61]
Generated Node #0,2,2: 33:[25, 61] Operation: 67-6=61
Exploring Operation: 67-25=42, Resulting Numbers: [6, 42]
Generated Node #0,2,3: 33:[6, 42] Operation: 67-25=42
Moving to Node #0,2,3
Current State: 33:[6, 42], Operations: ['82-15=67', '67-25=42']
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 6*42=252, Resulting Numbers: [252]
252,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[25, 61], Operations: ['82-15=67', '67-6=61']
Exploring Operation: 25*61=1525, Resulting Numbers: [1525]
1525,33 unequal: No Solution
Exploring Operation: 25+61=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[67, 31], Operations: ['82-15=67', '6+25=31']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 67*31=2077, Resulting Numbers: [2077]
2077,33 unequal: No Solution
Exploring Operation: 67+31=98, Resulting Numbers: [98]
98,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[67, 19], Operations: ['82-15=67', '25-6=19']
Exploring Operation: 67-19=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 67*19=1273, Resulting Numbers: [1273]
1273,33 unequal: No Solution
Exploring Operation: 67+19=86, Resulting Numbers: [86]
86,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[6, 82, 10], Operations: ['25-15=10']
Exploring Operation: 10-6=4, Resulting Numbers: [82, 4]
Generated Node #0,0,0: 33:[82, 4] Operation: 10-6=4
Exploring Operation: 82-10=72, Resulting Numbers: [6, 72]
Generated Node #0,0,1: 33:[6, 72] Operation: 82-10=72
Exploring Operation: 6+10=16, Resulting Numbers: [82, 16]
Generated Node #0,0,2: 33:[82, 16] Operation: 6+10=16
Exploring Operation: 82-6=76, Resulting Numbers: [10, 76]
Generated Node #0,0,3: 33:[10, 76] Operation: 82-6=76
Moving to Node #0,0,1
Current State: 33:[6, 72], Operations: ['25-15=10', '82-10=72']
Exploring Operation: 6+72=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 6*72=432, Resulting Numbers: [432]
432,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[10, 76], Operations: ['25-15=10', '82-6=76']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 10*76=760, Resulting Numbers: [760]
760,33 unequal: No Solution
Exploring Operation: 10+76=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[82, 4], Operations: ['25-15=10', '10-6=4']
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,33 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,33 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[82, 16], Operations: ['25-15=10', '6+10=16']
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,33 unequal: No Solution
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[82, 15, 31], Operations: ['6+25=31']
Exploring Operation: 82-31=51, Resulting Numbers: [15, 51]
Generated Node #0,1,0: 33:[15, 51] Operation: 82-31=51
Exploring Operation: 82-15=67, Resulting Numbers: [31, 67]
Generated Node #0,1,1: 33:[31, 67] Operation: 82-15=67
Exploring Operation: 31-15=16, Resulting Numbers: [82, 16]
Generated Node #0,1,2: 33:[82, 16] Operation: 31-15=16
Exploring Operation: 15+31=46, Resulting Numbers: [82, 46]
Generated Node #0,1,3: 33:[82, 46] Operation: 15+31=46
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[15, 51], Operations: ['6+25=31', '82-31=51']
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 15*51=765, Resulting Numbers: [765]
765,33 unequal: No Solution
No 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: 33:[31, 67], Operations: ['6+25=31', '82-15=67']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,33 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,33 unequal: No Solution
No 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: 33:[82, 16], Operations: ['6+25=31', '31-15=16']
Exploring Operation: 82-16=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 82+16=98, Resulting Numbers: [98]
98,33 unequal: No Solution
Exploring Operation: 82*16=1312, Resulting Numbers: [1312]
1312,33 unequal: No Solution
No 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: 33:[82, 46], Operations: ['6+25=31', '15+31=46']
Exploring Operation: 82+46=128, Resulting Numbers: [128]
128,33 unequal: No Solution
Exploring Operation: 82*46=3772, Resulting Numbers: [3772]
3772,33 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,33 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 |
[
48,
86,
11,
28
] | 95 | [
"48+86=134",
"11+28=39",
"134-39=95"
] | Current State: 95:[48, 86, 11, 28], Operations: []
Exploring Operation: 48+86=134, Resulting Numbers: [11, 28, 134]
Generated Node #2: [11, 28, 134] from Operation: 48+86=134
Current State: 95:[11, 28, 134], Operations: ['48+86=134']
Exploring Operation: 11+28=39, Resulting Numbers: [134, 39]
Generated Node #3: [134, 39] from Operation: 11+28=39
Current State: 95:[134, 39], Operations: ['48+86=134', '11+28=39']
Exploring Operation: 134-39=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[48, 86, 11, 28], Operations: []
Exploring Operation: 86-48=38, Resulting Numbers: [11, 28, 38]
Generated Node #0,0: 95:[11, 28, 38] Operation: 86-48=38
Exploring Operation: 48-11=37, Resulting Numbers: [86, 28, 37]
Generated Node #0,1: 95:[86, 28, 37] Operation: 48-11=37
Exploring Operation: 48-28=20, Resulting Numbers: [86, 11, 20]
Generated Node #0,2: 95:[86, 11, 20] Operation: 48-28=20
Exploring Operation: 48+28=76, Resulting Numbers: [86, 11, 76]
Generated Node #0,3: 95:[86, 11, 76] Operation: 48+28=76
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[86, 11, 20], Operations: ['48-28=20']
Exploring Operation: 86+20=106, Resulting Numbers: [11, 106]
Generated Node #0,2,0: 95:[11, 106] Operation: 86+20=106
Exploring Operation: 86+11=97, Resulting Numbers: [20, 97]
Generated Node #0,2,1: 95:[20, 97] Operation: 86+11=97
Exploring Operation: 86-11=75, Resulting Numbers: [20, 75]
Generated Node #0,2,2: 95:[20, 75] Operation: 86-11=75
Exploring Operation: 20-11=9, Resulting Numbers: [86, 9]
Generated Node #0,2,3: 95:[86, 9] Operation: 20-11=9
Moving to Node #0,2,1
Current State: 95:[20, 97], Operations: ['48-28=20', '86+11=97']
Exploring Operation: 20*97=1940, Resulting Numbers: [1940]
1940,95 unequal: No Solution
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,95 unequal: No Solution
Exploring Operation: 20+97=117, Resulting Numbers: [117]
117,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[86, 9], Operations: ['48-28=20', '20-11=9']
Exploring Operation: 86*9=774, Resulting Numbers: [774]
774,95 unequal: No Solution
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[48, 86, 11, 28], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [86, 11, 20]
Generated Node #0,2: 95:[86, 11, 20] Operation: 48-28=20
Moving to Node #0,2
Current State: 95:[86, 11, 20], Operations: ['48-28=20']
Exploring Operation: 20-11=9, Resulting Numbers: [86, 9]
Generated Node #0,2,3: 95:[86, 9] Operation: 20-11=9
Moving to Node #0,2,3
Current State: 95:[86, 9], Operations: ['48-28=20', '20-11=9']
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
79,
76,
50,
25
] | 72 | [
"79-76=3",
"50+25=75",
"75-3=72"
] | Current State: 72:[79, 76, 50, 25], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [50, 25, 3]
Generated Node #2: [50, 25, 3] from Operation: 79-76=3
Current State: 72:[50, 25, 3], Operations: ['79-76=3']
Exploring Operation: 50+25=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 50+25=75
Current State: 72:[3, 75], Operations: ['79-76=3', '50+25=75']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[79, 76, 50, 25], Operations: []
Exploring Operation: 50-25=25, Resulting Numbers: [79, 76, 25]
Generated Node #0,0: 72:[79, 76, 25] Operation: 50-25=25
Exploring Operation: 76-50=26, Resulting Numbers: [79, 25, 26]
Generated Node #0,1: 72:[79, 25, 26] Operation: 76-50=26
Exploring Operation: 50/25=2, Resulting Numbers: [79, 76, 2]
Generated Node #0,2: 72:[79, 76, 2] Operation: 50/25=2
Exploring Operation: 79-50=29, Resulting Numbers: [76, 25, 29]
Generated Node #0,3: 72:[76, 25, 29] Operation: 79-50=29
Moving to Node #0,1
Current State: 72:[79, 25, 26], Operations: ['76-50=26']
Exploring Operation: 79-25=54, Resulting Numbers: [26, 54]
Generated Node #0,1,0: 72:[26, 54] Operation: 79-25=54
Exploring Operation: 79-26=53, Resulting Numbers: [25, 53]
Generated Node #0,1,1: 72:[25, 53] Operation: 79-26=53
Exploring Operation: 26-25=1, Resulting Numbers: [79, 1]
Generated Node #0,1,2: 72:[79, 1] Operation: 26-25=1
Exploring Operation: 25+26=51, Resulting Numbers: [79, 51]
Generated Node #0,1,3: 72:[79, 51] Operation: 25+26=51
Moving to Node #0,3
Current State: 72:[76, 25, 29], Operations: ['79-50=29']
Exploring Operation: 76-25=51, Resulting Numbers: [29, 51]
Generated Node #0,3,0: 72:[29, 51] Operation: 76-25=51
Exploring Operation: 76-29=47, Resulting Numbers: [25, 47]
Generated Node #0,3,1: 72:[25, 47] Operation: 76-29=47
Exploring Operation: 25+29=54, Resulting Numbers: [76, 54]
Generated Node #0,3,2: 72:[76, 54] Operation: 25+29=54
Exploring Operation: 29-25=4, Resulting Numbers: [76, 4]
Generated Node #0,3,3: 72:[76, 4] Operation: 29-25=4
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 72:[76, 4], Operations: ['79-50=29', '29-25=4']
Exploring Operation: 76*4=304, Resulting Numbers: [304]
304,72 unequal: No Solution
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[79, 76, 50, 25], Operations: []
Exploring Operation: 79-50=29, Resulting Numbers: [76, 25, 29]
Generated Node #0,3: 72:[76, 25, 29] Operation: 79-50=29
Moving to Node #0,3
Current State: 72:[76, 25, 29], Operations: ['79-50=29']
Exploring Operation: 29-25=4, Resulting Numbers: [76, 4]
Generated Node #0,3,3: 72:[76, 4] Operation: 29-25=4
Moving to Node #0,3,3
Current State: 72:[76, 4], Operations: ['79-50=29', '29-25=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
3,
64,
27,
6
] | 71 | [
"27-6=21",
"21/3=7",
"64+7=71"
] | Current State: 71:[3, 64, 27, 6], Operations: []
Exploring Operation: 27-6=21, Resulting Numbers: [3, 64, 21]
Generated Node #2: [3, 64, 21] from Operation: 27-6=21
Current State: 71:[3, 64, 21], Operations: ['27-6=21']
Exploring Operation: 21/3=7, Resulting Numbers: [64, 7]
Generated Node #3: [64, 7] from Operation: 21/3=7
Current State: 71:[64, 7], Operations: ['27-6=21', '21/3=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[3, 64, 27, 6], Operations: []
Exploring Operation: 3+6=9, Resulting Numbers: [64, 27, 9]
Generated Node #0,0: 71:[64, 27, 9] Operation: 3+6=9
Exploring Operation: 3*27=81, Resulting Numbers: [64, 6, 81]
Generated Node #0,1: 71:[64, 6, 81] Operation: 3*27=81
Exploring Operation: 3+27=30, Resulting Numbers: [64, 6, 30]
Generated Node #0,2: 71:[64, 6, 30] Operation: 3+27=30
Exploring Operation: 3+64=67, Resulting Numbers: [27, 6, 67]
Generated Node #0,3: 71:[27, 6, 67] Operation: 3+64=67
Exploring Operation: 3*6=18, Resulting Numbers: [64, 27, 18]
Generated Node #0,4: 71:[64, 27, 18] Operation: 3*6=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[64, 6, 81], Operations: ['3*27=81']
Exploring Operation: 6+81=87, Resulting Numbers: [64, 87]
Generated Node #0,1,0: 71:[64, 87] Operation: 6+81=87
Exploring Operation: 64+6=70, Resulting Numbers: [81, 70]
Generated Node #0,1,1: 71:[81, 70] Operation: 64+6=70
Exploring Operation: 81-64=17, Resulting Numbers: [6, 17]
Generated Node #0,1,2: 71:[6, 17] Operation: 81-64=17
Exploring Operation: 81-6=75, Resulting Numbers: [64, 75]
Generated Node #0,1,3: 71:[64, 75] Operation: 81-6=75
Exploring Operation: 64-6=58, Resulting Numbers: [81, 58]
Generated Node #0,1,4: 71:[81, 58] Operation: 64-6=58
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[81, 70], Operations: ['3*27=81', '64+6=70']
Exploring Operation: 81-70=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 81+70=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 81*70=5670, Resulting Numbers: [5670]
5670,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 71:[64, 75], Operations: ['3*27=81', '81-6=75']
Exploring Operation: 75-64=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 64*75=4800, Resulting Numbers: [4800]
4800,71 unequal: No Solution
Exploring Operation: 64+75=139, Resulting Numbers: [139]
139,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[64, 87], Operations: ['3*27=81', '6+81=87']
Exploring Operation: 64+87=151, Resulting Numbers: [151]
151,71 unequal: No Solution
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Exploring Operation: 64*87=5568, Resulting Numbers: [5568]
5568,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 71:[81, 58], Operations: ['3*27=81', '64-6=58']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,71 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[6, 17], Operations: ['3*27=81', '81-64=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,71 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 71:[64, 27, 18], Operations: ['3*6=18']
Exploring Operation: 27-18=9, Resulting Numbers: [64, 9]
Generated Node #0,4,0: 71:[64, 9] Operation: 27-18=9
Exploring Operation: 64-18=46, Resulting Numbers: [27, 46]
Generated Node #0,4,1: 71:[27, 46] Operation: 64-18=46
Exploring Operation: 64+27=91, Resulting Numbers: [18, 91]
Generated Node #0,4,2: 71:[18, 91] Operation: 64+27=91
Exploring Operation: 27+18=45, Resulting Numbers: [64, 45]
Generated Node #0,4,3: 71:[64, 45] Operation: 27+18=45
Exploring Operation: 64+18=82, Resulting Numbers: [27, 82]
Generated Node #0,4,4: 71:[27, 82] Operation: 64+18=82
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 71:[64, 45], Operations: ['3*6=18', '27+18=45']
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 64*45=2880, Resulting Numbers: [2880]
2880,71 unequal: No Solution
Exploring Operation: 64+45=109, Resulting Numbers: [109]
109,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 71:[27, 82], Operations: ['3*6=18', '64+18=82']
Exploring Operation: 27*82=2214, Resulting Numbers: [2214]
2214,71 unequal: No Solution
Exploring Operation: 27+82=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 71:[64, 9], Operations: ['3*6=18', '27-18=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,71 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,71 unequal: No Solution
Exploring Operation: 64*9=576, Resulting Numbers: [576]
576,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 71:[27, 46], Operations: ['3*6=18', '64-18=46']
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,71 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 71:[18, 91], Operations: ['3*6=18', '64+27=91']
Exploring Operation: 18*91=1638, Resulting Numbers: [1638]
1638,71 unequal: No Solution
Exploring Operation: 18+91=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[64, 27, 9], Operations: ['3+6=9']
Exploring Operation: 64-9=55, Resulting Numbers: [27, 55]
Generated Node #0,0,0: 71:[27, 55] Operation: 64-9=55
Exploring Operation: 27+9=36, Resulting Numbers: [64, 36]
Generated Node #0,0,1: 71:[64, 36] Operation: 27+9=36
Exploring Operation: 27/9=3, Resulting Numbers: [64, 3]
Generated Node #0,0,2: 71:[64, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [64, 18]
Generated Node #0,0,3: 71:[64, 18] Operation: 27-9=18
Exploring Operation: 64+9=73, Resulting Numbers: [27, 73]
Generated Node #0,0,4: 71:[27, 73] Operation: 64+9=73
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[64, 36], Operations: ['3+6=9', '27+9=36']
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,71 unequal: No Solution
Exploring Operation: 64*36=2304, Resulting Numbers: [2304]
2304,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 71:[27, 73], Operations: ['3+6=9', '64+9=73']
Exploring Operation: 27*73=1971, Resulting Numbers: [1971]
1971,71 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[27, 55], Operations: ['3+6=9', '64-9=55']
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,71 unequal: No Solution
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,71 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 71:[64, 18], Operations: ['3+6=9', '27-9=18']
Exploring Operation: 64*18=1152, Resulting Numbers: [1152]
1152,71 unequal: No Solution
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,71 unequal: No Solution
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 71:[64, 3], Operations: ['3+6=9', '27/9=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,71 unequal: No Solution
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[64, 6, 30], Operations: ['3+27=30']
Exploring Operation: 30/6=5, Resulting Numbers: [64, 5]
Generated Node #0,2,0: 71:[64, 5] Operation: 30/6=5
Exploring Operation: 30-6=24, Resulting Numbers: [64, 24]
Generated Node #0,2,1: 71:[64, 24] Operation: 30-6=24
Exploring Operation: 6+30=36, Resulting Numbers: [64, 36]
Generated Node #0,2,2: 71:[64, 36] Operation: 6+30=36
Exploring Operation: 64+6=70, Resulting Numbers: [30, 70]
Generated Node #0,2,3: 71:[30, 70] Operation: 64+6=70
Exploring Operation: 64-6=58, Resulting Numbers: [30, 58]
Generated Node #0,2,4: 71:[30, 58] Operation: 64-6=58
Moving to Node #0,2,2
Current State: 71:[64, 36], Operations: ['3+27=30', '6+30=36']
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,71 unequal: No Solution
Exploring Operation: 64*36=2304, Resulting Numbers: [2304]
2304,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[30, 70], Operations: ['3+27=30', '64+6=70']
Exploring Operation: 30+70=100, Resulting Numbers: [100]
100,71 unequal: No Solution
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,71 unequal: No Solution
Exploring Operation: 30*70=2100, Resulting Numbers: [2100]
2100,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[64, 24], Operations: ['3+27=30', '30-6=24']
Exploring Operation: 64*24=1536, Resulting Numbers: [1536]
1536,71 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,71 unequal: No Solution
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[30, 58], Operations: ['3+27=30', '64-6=58']
Exploring Operation: 30+58=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,71 unequal: No Solution
Exploring Operation: 30*58=1740, Resulting Numbers: [1740]
1740,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[64, 5], Operations: ['3+27=30', '30/6=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,71 unequal: No Solution
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,71 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,71 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 #0,3
Current State: 71:[27, 6, 67], Operations: ['3+64=67']
Exploring Operation: 6+67=73, Resulting Numbers: [27, 73]
Generated Node #0,3,0: 71:[27, 73] Operation: 6+67=73
Exploring Operation: 27-6=21, Resulting Numbers: [67, 21]
Generated Node #0,3,1: 71:[67, 21] Operation: 27-6=21
Exploring Operation: 27+67=94, Resulting Numbers: [6, 94]
Generated Node #0,3,2: 71:[6, 94] Operation: 27+67=94
Exploring Operation: 27+6=33, Resulting Numbers: [67, 33]
Generated Node #0,3,3: 71:[67, 33] Operation: 27+6=33
Exploring Operation: 67-6=61, Resulting Numbers: [27, 61]
Generated Node #0,3,4: 71:[27, 61] Operation: 67-6=61
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 71:[67, 33], Operations: ['3+64=67', '27+6=33']
Exploring Operation: 67*33=2211, Resulting Numbers: [2211]
2211,71 unequal: No Solution
Exploring Operation: 67+33=100, Resulting Numbers: [100]
100,71 unequal: No Solution
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 71:[27, 73], Operations: ['3+64=67', '6+67=73']
Exploring Operation: 27*73=1971, Resulting Numbers: [1971]
1971,71 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 71:[67, 21], Operations: ['3+64=67', '27-6=21']
Exploring Operation: 67+21=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 67*21=1407, Resulting Numbers: [1407]
1407,71 unequal: No Solution
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 71:[27, 61], Operations: ['3+64=67', '67-6=61']
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 71:[6, 94], Operations: ['3+64=67', '27+67=94']
Exploring Operation: 6+94=100, Resulting Numbers: [100]
100,71 unequal: No Solution
Exploring Operation: 6*94=564, Resulting Numbers: [564]
564,71 unequal: No Solution
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
41,
2,
98,
39
] | 58 | [
"41+39=80",
"80/2=40",
"98-40=58"
] | Current State: 58:[41, 2, 98, 39], Operations: []
Exploring Operation: 41+39=80, Resulting Numbers: [2, 98, 80]
Generated Node #2: [2, 98, 80] from Operation: 41+39=80
Current State: 58:[2, 98, 80], Operations: ['41+39=80']
Exploring Operation: 80/2=40, Resulting Numbers: [98, 40]
Generated Node #3: [98, 40] from Operation: 80/2=40
Current State: 58:[98, 40], Operations: ['41+39=80', '80/2=40']
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[41, 2, 98, 39], Operations: []
Exploring Operation: 98-39=59, Resulting Numbers: [41, 2, 59]
Generated Node #0,0: 58:[41, 2, 59] Operation: 98-39=59
Exploring Operation: 98-41=57, Resulting Numbers: [2, 39, 57]
Generated Node #0,1: 58:[2, 39, 57] Operation: 98-41=57
Moving to Node #0,1
Current State: 58:[2, 39, 57], Operations: ['98-41=57']
Exploring Operation: 39-2=37, Resulting Numbers: [57, 37]
Generated Node #0,1,0: 58:[57, 37] Operation: 39-2=37
Exploring Operation: 2+57=59, Resulting Numbers: [39, 59]
Generated Node #0,1,1: 58:[39, 59] Operation: 2+57=59
Moving to Node #0,0
Current State: 58:[41, 2, 59], Operations: ['98-39=59']
Exploring Operation: 59-41=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 58:[2, 18] Operation: 59-41=18
Exploring Operation: 41-2=39, Resulting Numbers: [59, 39]
Generated Node #0,0,1: 58:[59, 39] Operation: 41-2=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[2, 18], Operations: ['98-39=59', '59-41=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[59, 39], Operations: ['98-39=59', '41-2=39']
Exploring Operation: 59+39=98, Resulting Numbers: [98]
98,58 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,58 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: 58:[57, 37], Operations: ['98-41=57', '39-2=37']
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 57+37=94, Resulting Numbers: [94]
94,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[39, 59], Operations: ['98-41=57', '2+57=59']
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,58 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,58 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
4,
16,
5,
56
] | 73 | [
"16-4=12",
"5+56=61",
"12+61=73"
] | Current State: 73:[4, 16, 5, 56], Operations: []
Exploring Operation: 16-4=12, Resulting Numbers: [5, 56, 12]
Generated Node #2: [5, 56, 12] from Operation: 16-4=12
Current State: 73:[5, 56, 12], Operations: ['16-4=12']
Exploring Operation: 5+56=61, Resulting Numbers: [12, 61]
Generated Node #3: [12, 61] from Operation: 5+56=61
Current State: 73:[12, 61], Operations: ['16-4=12', '5+56=61']
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[4, 16, 5, 56], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [4, 56, 80]
Generated Node #0,0: 73:[4, 56, 80] Operation: 16*5=80
Exploring Operation: 4*16=64, Resulting Numbers: [5, 56, 64]
Generated Node #0,1: 73:[5, 56, 64] Operation: 4*16=64
Moving to Node #0,0
Current State: 73:[4, 56, 80], Operations: ['16*5=80']
Exploring Operation: 4+56=60, Resulting Numbers: [80, 60]
Generated Node #0,0,0: 73:[80, 60] Operation: 4+56=60
Exploring Operation: 80-4=76, Resulting Numbers: [56, 76]
Generated Node #0,0,1: 73:[56, 76] Operation: 80-4=76
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[80, 60], Operations: ['16*5=80', '4+56=60']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 80+60=140, Resulting Numbers: [140]
140,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[56, 76], Operations: ['16*5=80', '80-4=76']
Exploring Operation: 56+76=132, Resulting Numbers: [132]
132,73 unequal: No Solution
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,73 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: 73:[5, 56, 64], Operations: ['4*16=64']
Exploring Operation: 5+56=61, Resulting Numbers: [64, 61]
Generated Node #0,1,0: 73:[64, 61] Operation: 5+56=61
Exploring Operation: 5+64=69, Resulting Numbers: [56, 69]
Generated Node #0,1,1: 73:[56, 69] Operation: 5+64=69
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[64, 61], Operations: ['4*16=64', '5+56=61']
Exploring Operation: 64+61=125, Resulting Numbers: [125]
125,73 unequal: No Solution
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[56, 69], Operations: ['4*16=64', '5+64=69']
Exploring Operation: 69-56=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 56+69=125, Resulting Numbers: [125]
125,73 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 |
[
79,
2,
19,
81
] | 96 | [
"79*2=158",
"81-19=62",
"158-62=96"
] | Current State: 96:[79, 2, 19, 81], Operations: []
Exploring Operation: 79*2=158, Resulting Numbers: [19, 81, 158]
Generated Node #2: [19, 81, 158] from Operation: 79*2=158
Current State: 96:[19, 81, 158], Operations: ['79*2=158']
Exploring Operation: 81-19=62, Resulting Numbers: [158, 62]
Generated Node #3: [158, 62] from Operation: 81-19=62
Current State: 96:[158, 62], Operations: ['79*2=158', '81-19=62']
Exploring Operation: 158-62=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[79, 2, 19, 81], Operations: []
Exploring Operation: 79+19=98, Resulting Numbers: [2, 81, 98]
Generated Node #0,0: 96:[2, 81, 98] Operation: 79+19=98
Exploring Operation: 79-19=60, Resulting Numbers: [2, 81, 60]
Generated Node #0,1: 96:[2, 81, 60] Operation: 79-19=60
Exploring Operation: 19+81=100, Resulting Numbers: [79, 2, 100]
Generated Node #0,2: 96:[79, 2, 100] Operation: 19+81=100
Exploring Operation: 81-79=2, Resulting Numbers: [2, 19, 2]
Generated Node #0,3: 96:[2, 19, 2] Operation: 81-79=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[2, 19, 2], Operations: ['81-79=2']
Exploring Operation: 19-2=17, Resulting Numbers: [2, 17]
Generated Node #0,3,0: 96:[2, 17] Operation: 19-2=17
Exploring Operation: 2+19=21, Resulting Numbers: [2, 21]
Generated Node #0,3,1: 96:[2, 21] Operation: 2+19=21
Exploring Operation: 19-2=17, Resulting Numbers: [2, 17]
Generated Node #0,3,2: 96:[2, 17] Operation: 19-2=17
Exploring Operation: 2+2=4, Resulting Numbers: [19, 4]
Generated Node #0,3,3: 96:[19, 4] Operation: 2+2=4
Moving to Node #0,3,0
Current State: 96:[2, 17], Operations: ['81-79=2', '19-2=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Moving to Node #0,3,2
Current State: 96:[2, 17], Operations: ['81-79=2', '19-2=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[19, 4], Operations: ['81-79=2', '2+2=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[2, 21], Operations: ['81-79=2', '2+19=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,96 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[2, 81, 98], Operations: ['79+19=98']
Exploring Operation: 98/2=49, Resulting Numbers: [81, 49]
Generated Node #0,0,0: 96:[81, 49] Operation: 98/2=49
Exploring Operation: 2+81=83, Resulting Numbers: [98, 83]
Generated Node #0,0,1: 96:[98, 83] Operation: 2+81=83
Exploring Operation: 98-2=96, Resulting Numbers: [81, 96]
Generated Node #0,0,2: 96:[81, 96] Operation: 98-2=96
Exploring Operation: 98-81=17, Resulting Numbers: [2, 17]
Generated Node #0,0,3: 96:[2, 17] Operation: 98-81=17
Moving to Node #0,0,3
Current State: 96:[2, 17], Operations: ['79+19=98', '98-81=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[81, 96], Operations: ['79+19=98', '98-2=96']
Exploring Operation: 96-81=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 81+96=177, Resulting Numbers: [177]
177,96 unequal: No Solution
Exploring Operation: 81*96=7776, Resulting Numbers: [7776]
7776,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[98, 83], Operations: ['79+19=98', '2+81=83']
Exploring Operation: 98+83=181, Resulting Numbers: [181]
181,96 unequal: No Solution
Exploring Operation: 98*83=8134, Resulting Numbers: [8134]
8134,96 unequal: No Solution
Exploring Operation: 98-83=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[81, 49], Operations: ['79+19=98', '98/2=49']
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,96 unequal: No Solution
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,96 unequal: No Solution
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[79, 2, 100], Operations: ['19+81=100']
Exploring Operation: 100/2=50, Resulting Numbers: [79, 50]
Generated Node #0,2,0: 96:[79, 50] Operation: 100/2=50
Exploring Operation: 100-79=21, Resulting Numbers: [2, 21]
Generated Node #0,2,1: 96:[2, 21] Operation: 100-79=21
Exploring Operation: 100-2=98, Resulting Numbers: [79, 98]
Generated Node #0,2,2: 96:[79, 98] Operation: 100-2=98
Exploring Operation: 79+2=81, Resulting Numbers: [100, 81]
Generated Node #0,2,3: 96:[100, 81] Operation: 79+2=81
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[2, 21], Operations: ['19+81=100', '100-79=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,96 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,96 unequal: No Solution
No 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: 96:[79, 50], Operations: ['19+81=100', '100/2=50']
Exploring Operation: 79+50=129, Resulting Numbers: [129]
129,96 unequal: No Solution
Exploring Operation: 79*50=3950, Resulting Numbers: [3950]
3950,96 unequal: No Solution
Exploring Operation: 79-50=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No 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: 96:[79, 98], Operations: ['19+81=100', '100-2=98']
Exploring Operation: 79+98=177, Resulting Numbers: [177]
177,96 unequal: No Solution
Exploring Operation: 79*98=7742, Resulting Numbers: [7742]
7742,96 unequal: No Solution
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,96 unequal: No Solution
No 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: 96:[100, 81], Operations: ['19+81=100', '79+2=81']
Exploring Operation: 100+81=181, Resulting Numbers: [181]
181,96 unequal: No Solution
Exploring Operation: 100*81=8100, Resulting Numbers: [8100]
8100,96 unequal: No Solution
Exploring Operation: 100-81=19, Resulting Numbers: [19]
19,96 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: 96:[2, 81, 60], Operations: ['79-19=60']
Exploring Operation: 60-2=58, Resulting Numbers: [81, 58]
Generated Node #0,1,0: 96:[81, 58] Operation: 60-2=58
Exploring Operation: 81-60=21, Resulting Numbers: [2, 21]
Generated Node #0,1,1: 96:[2, 21] Operation: 81-60=21
Exploring Operation: 60/2=30, Resulting Numbers: [81, 30]
Generated Node #0,1,2: 96:[81, 30] Operation: 60/2=30
Exploring Operation: 2+81=83, Resulting Numbers: [60, 83]
Generated Node #0,1,3: 96:[60, 83] Operation: 2+81=83
Moving to Node #0,1,1
Current State: 96:[2, 21], Operations: ['79-19=60', '81-60=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,96 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[81, 30], Operations: ['79-19=60', '60/2=30']
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 81+30=111, Resulting Numbers: [111]
111,96 unequal: No Solution
Exploring Operation: 81*30=2430, Resulting Numbers: [2430]
2430,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[60, 83], Operations: ['79-19=60', '2+81=83']
Exploring Operation: 83-60=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 60+83=143, Resulting Numbers: [143]
143,96 unequal: No Solution
Exploring Operation: 60*83=4980, Resulting Numbers: [4980]
4980,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[81, 58], Operations: ['79-19=60', '60-2=58']
Exploring Operation: 81+58=139, Resulting Numbers: [139]
139,96 unequal: No Solution
Exploring Operation: 81*58=4698, Resulting Numbers: [4698]
4698,96 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,96 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 |
[
13,
11,
16,
22
] | 34 | [
"13*16=208",
"11*22=242",
"242-208=34"
] | Current State: 34:[13, 11, 16, 22], Operations: []
Exploring Operation: 13*16=208, Resulting Numbers: [11, 22, 208]
Generated Node #2: [11, 22, 208] from Operation: 13*16=208
Current State: 34:[11, 22, 208], Operations: ['13*16=208']
Exploring Operation: 11*22=242, Resulting Numbers: [208, 242]
Generated Node #3: [208, 242] from Operation: 11*22=242
Current State: 34:[208, 242], Operations: ['13*16=208', '11*22=242']
Exploring Operation: 242-208=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[13, 11, 16, 22], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [13, 16, 2]
Generated Node #0,0: 34:[13, 16, 2] Operation: 22/11=2
Exploring Operation: 13-11=2, Resulting Numbers: [16, 22, 2]
Generated Node #0,1: 34:[16, 22, 2] Operation: 13-11=2
Exploring Operation: 11+22=33, Resulting Numbers: [13, 16, 33]
Generated Node #0,2: 34:[13, 16, 33] Operation: 11+22=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[13, 16, 2], Operations: ['22/11=2']
Exploring Operation: 13+16=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 34:[2, 29] Operation: 13+16=29
Exploring Operation: 13+2=15, Resulting Numbers: [16, 15]
Generated Node #0,0,1: 34:[16, 15] Operation: 13+2=15
Exploring Operation: 16-13=3, Resulting Numbers: [2, 3]
Generated Node #0,0,2: 34:[2, 3] Operation: 16-13=3
Moving to Node #0,0,2
Current State: 34:[2, 3], Operations: ['22/11=2', '16-13=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[16, 15], Operations: ['22/11=2', '13+2=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[2, 29], Operations: ['22/11=2', '13+16=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,34 unequal: No Solution
No 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: 34:[16, 22, 2], Operations: ['13-11=2']
Exploring Operation: 22-2=20, Resulting Numbers: [16, 20]
Generated Node #0,1,0: 34:[16, 20] Operation: 22-2=20
Exploring Operation: 22-16=6, Resulting Numbers: [2, 6]
Generated Node #0,1,1: 34:[2, 6] Operation: 22-16=6
Exploring Operation: 16+22=38, Resulting Numbers: [2, 38]
Generated Node #0,1,2: 34:[2, 38] Operation: 16+22=38
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[16, 20], Operations: ['13-11=2', '22-2=20']
Exploring Operation: 16*20=320, Resulting Numbers: [320]
320,34 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,34 unequal: No Solution
No 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: 34:[2, 6], Operations: ['13-11=2', '22-16=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,34 unequal: No Solution
No 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: 34:[2, 38], Operations: ['13-11=2', '16+22=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,34 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,34 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: 34:[13, 16, 33], Operations: ['11+22=33']
Exploring Operation: 33-16=17, Resulting Numbers: [13, 17]
Generated Node #0,2,0: 34:[13, 17] Operation: 33-16=17
Exploring Operation: 33-13=20, Resulting Numbers: [16, 20]
Generated Node #0,2,1: 34:[16, 20] Operation: 33-13=20
Exploring Operation: 16-13=3, Resulting Numbers: [33, 3]
Generated Node #0,2,2: 34:[33, 3] Operation: 16-13=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 34:[33, 3], Operations: ['11+22=33', '16-13=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,34 unequal: No Solution
No 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: 34:[13, 17], Operations: ['11+22=33', '33-16=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,34 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,34 unequal: No Solution
No 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: 34:[16, 20], Operations: ['11+22=33', '33-13=20']
Exploring Operation: 16*20=320, Resulting Numbers: [320]
320,34 unequal: No Solution
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
80,
87,
32,
30
] | 12 | [
"80*30=2400",
"2400/32=75",
"87-75=12"
] | Current State: 12:[80, 87, 32, 30], Operations: []
Exploring Operation: 80*30=2400, Resulting Numbers: [87, 32, 2400]
Generated Node #2: [87, 32, 2400] from Operation: 80*30=2400
Current State: 12:[87, 32, 2400], Operations: ['80*30=2400']
Exploring Operation: 2400/32=75, Resulting Numbers: [87, 75]
Generated Node #3: [87, 75] from Operation: 2400/32=75
Current State: 12:[87, 75], Operations: ['80*30=2400', '2400/32=75']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[80, 87, 32, 30], Operations: []
Exploring Operation: 80-32=48, Resulting Numbers: [87, 30, 48]
Generated Node #0,0: 12:[87, 30, 48] Operation: 80-32=48
Exploring Operation: 87-80=7, Resulting Numbers: [32, 30, 7]
Generated Node #0,1: 12:[32, 30, 7] Operation: 87-80=7
Moving to Node #0,1
Current State: 12:[32, 30, 7], Operations: ['87-80=7']
Exploring Operation: 32-30=2, Resulting Numbers: [7, 2]
Generated Node #0,1,0: 12:[7, 2] Operation: 32-30=2
Exploring Operation: 32-7=25, Resulting Numbers: [30, 25]
Generated Node #0,1,1: 12:[30, 25] Operation: 32-7=25
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 12:[7, 2], Operations: ['87-80=7', '32-30=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[30, 25], Operations: ['87-80=7', '32-7=25']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,12 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: 12:[87, 30, 48], Operations: ['80-32=48']
Exploring Operation: 87-48=39, Resulting Numbers: [30, 39]
Generated Node #0,0,0: 12:[30, 39] Operation: 87-48=39
Exploring Operation: 87-30=57, Resulting Numbers: [48, 57]
Generated Node #0,0,1: 12:[48, 57] Operation: 87-30=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[30, 39], Operations: ['80-32=48', '87-48=39']
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 12:[48, 57], Operations: ['80-32=48', '87-30=57']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,12 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 |
[
26,
4,
95,
24
] | 97 | [
"26-4=22",
"95+24=119",
"119-22=97"
] | Current State: 97:[26, 4, 95, 24], Operations: []
Exploring Operation: 26-4=22, Resulting Numbers: [95, 24, 22]
Generated Node #2: [95, 24, 22] from Operation: 26-4=22
Current State: 97:[95, 24, 22], Operations: ['26-4=22']
Exploring Operation: 95+24=119, Resulting Numbers: [22, 119]
Generated Node #3: [22, 119] from Operation: 95+24=119
Current State: 97:[22, 119], Operations: ['26-4=22', '95+24=119']
Exploring Operation: 119-22=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[26, 4, 95, 24], Operations: []
Exploring Operation: 26+4=30, Resulting Numbers: [95, 24, 30]
Generated Node #0,0: 97:[95, 24, 30] Operation: 26+4=30
Exploring Operation: 4+24=28, Resulting Numbers: [26, 95, 28]
Generated Node #0,1: 97:[26, 95, 28] Operation: 4+24=28
Exploring Operation: 26+24=50, Resulting Numbers: [4, 95, 50]
Generated Node #0,2: 97:[4, 95, 50] Operation: 26+24=50
Exploring Operation: 4*24=96, Resulting Numbers: [26, 95, 96]
Generated Node #0,3: 97:[26, 95, 96] Operation: 4*24=96
Exploring Operation: 26*4=104, Resulting Numbers: [95, 24, 104]
Generated Node #0,4: 97:[95, 24, 104] Operation: 26*4=104
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[26, 95, 96], Operations: ['4*24=96']
Exploring Operation: 95+96=191, Resulting Numbers: [26, 191]
Generated Node #0,3,0: 97:[26, 191] Operation: 95+96=191
Exploring Operation: 95-26=69, Resulting Numbers: [96, 69]
Generated Node #0,3,1: 97:[96, 69] Operation: 95-26=69
Exploring Operation: 26+95=121, Resulting Numbers: [96, 121]
Generated Node #0,3,2: 97:[96, 121] Operation: 26+95=121
Exploring Operation: 96-26=70, Resulting Numbers: [95, 70]
Generated Node #0,3,3: 97:[95, 70] Operation: 96-26=70
Exploring Operation: 26+96=122, Resulting Numbers: [95, 122]
Generated Node #0,3,4: 97:[95, 122] Operation: 26+96=122
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 97:[96, 121], Operations: ['4*24=96', '26+95=121']
Exploring Operation: 121-96=25, Resulting Numbers: [25]
25,97 unequal: No Solution
Exploring Operation: 96+121=217, Resulting Numbers: [217]
217,97 unequal: No Solution
Exploring Operation: 96*121=11616, Resulting Numbers: [11616]
11616,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 97:[95, 122], Operations: ['4*24=96', '26+96=122']
Exploring Operation: 95+122=217, Resulting Numbers: [217]
217,97 unequal: No Solution
Exploring Operation: 95*122=11590, Resulting Numbers: [11590]
11590,97 unequal: No Solution
Exploring Operation: 122-95=27, Resulting Numbers: [27]
27,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 97:[96, 69], Operations: ['4*24=96', '95-26=69']
Exploring Operation: 96-69=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 96+69=165, Resulting Numbers: [165]
165,97 unequal: No Solution
Exploring Operation: 96*69=6624, Resulting Numbers: [6624]
6624,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 97:[95, 70], Operations: ['4*24=96', '96-26=70']
Exploring Operation: 95+70=165, Resulting Numbers: [165]
165,97 unequal: No Solution
Exploring Operation: 95*70=6650, Resulting Numbers: [6650]
6650,97 unequal: No Solution
Exploring Operation: 95-70=25, Resulting Numbers: [25]
25,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 97:[26, 191], Operations: ['4*24=96', '95+96=191']
Exploring Operation: 26*191=4966, Resulting Numbers: [4966]
4966,97 unequal: No Solution
Exploring Operation: 191-26=165, Resulting Numbers: [165]
165,97 unequal: No Solution
Exploring Operation: 26+191=217, Resulting Numbers: [217]
217,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 97:[95, 24, 104], Operations: ['26*4=104']
Exploring Operation: 104-95=9, Resulting Numbers: [24, 9]
Generated Node #0,4,0: 97:[24, 9] Operation: 104-95=9
Exploring Operation: 104-24=80, Resulting Numbers: [95, 80]
Generated Node #0,4,1: 97:[95, 80] Operation: 104-24=80
Exploring Operation: 95-24=71, Resulting Numbers: [104, 71]
Generated Node #0,4,2: 97:[104, 71] Operation: 95-24=71
Exploring Operation: 95+24=119, Resulting Numbers: [104, 119]
Generated Node #0,4,3: 97:[104, 119] Operation: 95+24=119
Exploring Operation: 24+104=128, Resulting Numbers: [95, 128]
Generated Node #0,4,4: 97:[95, 128] Operation: 24+104=128
Moving to Node #0,4,1
Current State: 97:[95, 80], Operations: ['26*4=104', '104-24=80']
Exploring Operation: 95+80=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 95*80=7600, Resulting Numbers: [7600]
7600,97 unequal: No Solution
Moving to Node #0,4,3
Current State: 97:[104, 119], Operations: ['26*4=104', '95+24=119']
Exploring Operation: 119-104=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 104*119=12376, Resulting Numbers: [12376]
12376,97 unequal: No Solution
Exploring Operation: 104+119=223, Resulting Numbers: [223]
223,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[104, 71], Operations: ['26*4=104', '95-24=71']
Exploring Operation: 104-71=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Exploring Operation: 104*71=7384, Resulting Numbers: [7384]
7384,97 unequal: No Solution
Exploring Operation: 104+71=175, Resulting Numbers: [175]
175,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[95, 128], Operations: ['26*4=104', '24+104=128']
Exploring Operation: 95*128=12160, Resulting Numbers: [12160]
12160,97 unequal: No Solution
Exploring Operation: 95+128=223, Resulting Numbers: [223]
223,97 unequal: No Solution
Exploring Operation: 128-95=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[24, 9], Operations: ['26*4=104', '104-95=9']
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,97 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,97 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
Current State: 97:[95, 24, 30], Operations: ['26+4=30']
Exploring Operation: 30-24=6, Resulting Numbers: [95, 6]
Generated Node #0,0,0: 97:[95, 6] Operation: 30-24=6
Exploring Operation: 95+24=119, Resulting Numbers: [30, 119]
Generated Node #0,0,1: 97:[30, 119] Operation: 95+24=119
Exploring Operation: 95+30=125, Resulting Numbers: [24, 125]
Generated Node #0,0,2: 97:[24, 125] Operation: 95+30=125
Exploring Operation: 95-24=71, Resulting Numbers: [30, 71]
Generated Node #0,0,3: 97:[30, 71] Operation: 95-24=71
Exploring Operation: 24+30=54, Resulting Numbers: [95, 54]
Generated Node #0,0,4: 97:[95, 54] Operation: 24+30=54
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 97:[95, 54], Operations: ['26+4=30', '24+30=54']
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,97 unequal: No Solution
Exploring Operation: 95+54=149, Resulting Numbers: [149]
149,97 unequal: No Solution
Exploring Operation: 95*54=5130, Resulting Numbers: [5130]
5130,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[30, 119], Operations: ['26+4=30', '95+24=119']
Exploring Operation: 30*119=3570, Resulting Numbers: [3570]
3570,97 unequal: No Solution
Exploring Operation: 119-30=89, Resulting Numbers: [89]
89,97 unequal: No Solution
Exploring Operation: 30+119=149, Resulting Numbers: [149]
149,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[95, 6], Operations: ['26+4=30', '30-24=6']
Exploring Operation: 95+6=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Exploring Operation: 95*6=570, Resulting Numbers: [570]
570,97 unequal: No Solution
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[30, 71], Operations: ['26+4=30', '95-24=71']
Exploring Operation: 30*71=2130, Resulting Numbers: [2130]
2130,97 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,97 unequal: No Solution
Exploring Operation: 30+71=101, Resulting Numbers: [101]
101,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[24, 125], Operations: ['26+4=30', '95+30=125']
Exploring Operation: 24+125=149, Resulting Numbers: [149]
149,97 unequal: No Solution
Exploring Operation: 125-24=101, Resulting Numbers: [101]
101,97 unequal: No Solution
Exploring Operation: 24*125=3000, Resulting Numbers: [3000]
3000,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[26, 95, 28], Operations: ['4+24=28']
Exploring Operation: 95-26=69, Resulting Numbers: [28, 69]
Generated Node #0,1,0: 97:[28, 69] Operation: 95-26=69
Exploring Operation: 28-26=2, Resulting Numbers: [95, 2]
Generated Node #0,1,1: 97:[95, 2] Operation: 28-26=2
Exploring Operation: 26+28=54, Resulting Numbers: [95, 54]
Generated Node #0,1,2: 97:[95, 54] Operation: 26+28=54
Exploring Operation: 95+28=123, Resulting Numbers: [26, 123]
Generated Node #0,1,3: 97:[26, 123] Operation: 95+28=123
Exploring Operation: 26+95=121, Resulting Numbers: [28, 121]
Generated Node #0,1,4: 97:[28, 121] Operation: 26+95=121
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[95, 54], Operations: ['4+24=28', '26+28=54']
Exploring Operation: 95+54=149, Resulting Numbers: [149]
149,97 unequal: No Solution
Exploring Operation: 95*54=5130, Resulting Numbers: [5130]
5130,97 unequal: No Solution
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 97:[28, 121], Operations: ['4+24=28', '26+95=121']
Exploring Operation: 28+121=149, Resulting Numbers: [149]
149,97 unequal: No Solution
Exploring Operation: 28*121=3388, Resulting Numbers: [3388]
3388,97 unequal: No Solution
Exploring Operation: 121-28=93, Resulting Numbers: [93]
93,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[28, 69], Operations: ['4+24=28', '95-26=69']
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,97 unequal: No Solution
Exploring Operation: 28+69=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[26, 4, 95, 24], Operations: []
Exploring Operation: 4+24=28, Resulting Numbers: [26, 95, 28]
Generated Node #0,1: 97:[26, 95, 28] Operation: 4+24=28
Moving to Node #0,1
Current State: 97:[26, 95, 28], Operations: ['4+24=28']
Exploring Operation: 95-26=69, Resulting Numbers: [28, 69]
Generated Node #0,1,0: 97:[28, 69] Operation: 95-26=69
Moving to Node #0,1,0
Current State: 97:[28, 69], Operations: ['4+24=28', '95-26=69']
Exploring Operation: 28+69=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.928819 | hs_5 | mult_heuristic |
[
13,
19,
18,
31
] | 19 | [
"13+19=32",
"31-18=13",
"32-13=19"
] | Current State: 19:[13, 19, 18, 31], Operations: []
Exploring Operation: 13+19=32, Resulting Numbers: [18, 31, 32]
Generated Node #2: [18, 31, 32] from Operation: 13+19=32
Current State: 19:[18, 31, 32], Operations: ['13+19=32']
Exploring Operation: 31-18=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 31-18=13
Current State: 19:[32, 13], Operations: ['13+19=32', '31-18=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[13, 19, 18, 31], Operations: []
Exploring Operation: 31-13=18, Resulting Numbers: [19, 18, 18]
Generated Node #0,0: 19:[19, 18, 18] Operation: 31-13=18
Exploring Operation: 13+18=31, Resulting Numbers: [19, 31, 31]
Generated Node #0,1: 19:[19, 31, 31] Operation: 13+18=31
Exploring Operation: 31-19=12, Resulting Numbers: [13, 18, 12]
Generated Node #0,2: 19:[13, 18, 12] Operation: 31-19=12
Exploring Operation: 13+19=32, Resulting Numbers: [18, 31, 32]
Generated Node #0,3: 19:[18, 31, 32] Operation: 13+19=32
Exploring Operation: 31-18=13, Resulting Numbers: [13, 19, 13]
Generated Node #0,4: 19:[13, 19, 13] Operation: 31-18=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[19, 18, 18], Operations: ['31-13=18']
Exploring Operation: 18+18=36, Resulting Numbers: [19, 36]
Generated Node #0,0,0: 19:[19, 36] Operation: 18+18=36
Exploring Operation: 18/18=1, Resulting Numbers: [19, 1]
Generated Node #0,0,1: 19:[19, 1] Operation: 18/18=1
Exploring Operation: 19+18=37, Resulting Numbers: [18, 37]
Generated Node #0,0,2: 19:[18, 37] Operation: 19+18=37
Exploring Operation: 19-18=1, Resulting Numbers: [18, 1]
Generated Node #0,0,3: 19:[18, 1] Operation: 19-18=1
Exploring Operation: 19+18=37, Resulting Numbers: [18, 37]
Generated Node #0,0,4: 19:[18, 37] Operation: 19+18=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[19, 36], Operations: ['31-13=18', '18+18=36']
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,19 unequal: No Solution
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,19 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 #0,0,1
Current State: 19:[19, 1], Operations: ['31-13=18', '18/18=1']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[13, 19, 18, 31], Operations: []
Exploring Operation: 31-13=18, Resulting Numbers: [19, 18, 18]
Generated Node #0,0: 19:[19, 18, 18] Operation: 31-13=18
Moving to Node #0,0
Current State: 19:[19, 18, 18], Operations: ['31-13=18']
Exploring Operation: 18/18=1, Resulting Numbers: [19, 1]
Generated Node #0,0,1: 19:[19, 1] Operation: 18/18=1
Moving to Node #0,0,1
Current State: 19:[19, 1], Operations: ['31-13=18', '18/18=1']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
59,
62,
36,
94
] | 99 | [
"59*62=3658",
"3658-94=3564",
"3564/36=99"
] | Current State: 99:[59, 62, 36, 94], Operations: []
Exploring Operation: 59*62=3658, Resulting Numbers: [36, 94, 3658]
Generated Node #2: [36, 94, 3658] from Operation: 59*62=3658
Current State: 99:[36, 94, 3658], Operations: ['59*62=3658']
Exploring Operation: 3658-94=3564, Resulting Numbers: [36, 3564]
Generated Node #3: [36, 3564] from Operation: 3658-94=3564
Current State: 99:[36, 3564], Operations: ['59*62=3658', '3658-94=3564']
Exploring Operation: 3564/36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[59, 62, 36, 94], Operations: []
Exploring Operation: 94-62=32, Resulting Numbers: [59, 36, 32]
Generated Node #0,0: 99:[59, 36, 32] Operation: 94-62=32
Exploring Operation: 62+36=98, Resulting Numbers: [59, 94, 98]
Generated Node #0,1: 99:[59, 94, 98] Operation: 62+36=98
Exploring Operation: 59+62=121, Resulting Numbers: [36, 94, 121]
Generated Node #0,2: 99:[36, 94, 121] Operation: 59+62=121
Exploring Operation: 62-59=3, Resulting Numbers: [36, 94, 3]
Generated Node #0,3: 99:[36, 94, 3] Operation: 62-59=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 99:[36, 94, 3], Operations: ['62-59=3']
Exploring Operation: 36+3=39, Resulting Numbers: [94, 39]
Generated Node #0,3,0: 99:[94, 39] Operation: 36+3=39
Exploring Operation: 94+3=97, Resulting Numbers: [36, 97]
Generated Node #0,3,1: 99:[36, 97] Operation: 94+3=97
Exploring Operation: 36/3=12, Resulting Numbers: [94, 12]
Generated Node #0,3,2: 99:[94, 12] Operation: 36/3=12
Exploring Operation: 36-3=33, Resulting Numbers: [94, 33]
Generated Node #0,3,3: 99:[94, 33] Operation: 36-3=33
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 99:[36, 97], Operations: ['62-59=3', '94+3=97']
Exploring Operation: 36+97=133, Resulting Numbers: [133]
133,99 unequal: No Solution
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,99 unequal: No Solution
Exploring Operation: 36*97=3492, Resulting Numbers: [3492]
3492,99 unequal: No Solution
No 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: 99:[94, 33], Operations: ['62-59=3', '36-3=33']
Exploring Operation: 94-33=61, Resulting Numbers: [61]
61,99 unequal: No Solution
Exploring Operation: 94*33=3102, Resulting Numbers: [3102]
3102,99 unequal: No Solution
Exploring Operation: 94+33=127, Resulting Numbers: [127]
127,99 unequal: No Solution
No 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: 99:[94, 12], Operations: ['62-59=3', '36/3=12']
Exploring Operation: 94*12=1128, Resulting Numbers: [1128]
1128,99 unequal: No Solution
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 94+12=106, Resulting Numbers: [106]
106,99 unequal: No Solution
No 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: 99:[94, 39], Operations: ['62-59=3', '36+3=39']
Exploring Operation: 94*39=3666, Resulting Numbers: [3666]
3666,99 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 94+39=133, Resulting Numbers: [133]
133,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[59, 36, 32], Operations: ['94-62=32']
Exploring Operation: 59-36=23, Resulting Numbers: [32, 23]
Generated Node #0,0,0: 99:[32, 23] Operation: 59-36=23
Exploring Operation: 59+32=91, Resulting Numbers: [36, 91]
Generated Node #0,0,1: 99:[36, 91] Operation: 59+32=91
Exploring Operation: 59+36=95, Resulting Numbers: [32, 95]
Generated Node #0,0,2: 99:[32, 95] Operation: 59+36=95
Exploring Operation: 59-32=27, Resulting Numbers: [36, 27]
Generated Node #0,0,3: 99:[36, 27] Operation: 59-32=27
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 99:[32, 95], Operations: ['94-62=32', '59+36=95']
Exploring Operation: 95-32=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Exploring Operation: 32*95=3040, Resulting Numbers: [3040]
3040,99 unequal: No Solution
Exploring Operation: 32+95=127, Resulting Numbers: [127]
127,99 unequal: No Solution
No 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: 99:[36, 27], Operations: ['94-62=32', '59-32=27']
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,99 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No 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: 99:[32, 23], Operations: ['94-62=32', '59-36=23']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,99 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,99 unequal: No Solution
No 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: 99:[36, 91], Operations: ['94-62=32', '59+32=91']
Exploring Operation: 36+91=127, Resulting Numbers: [127]
127,99 unequal: No Solution
Exploring Operation: 91-36=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 36*91=3276, Resulting Numbers: [3276]
3276,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[36, 94, 121], Operations: ['59+62=121']
Exploring Operation: 36+94=130, Resulting Numbers: [121, 130]
Generated Node #0,2,0: 99:[121, 130] Operation: 36+94=130
Exploring Operation: 94-36=58, Resulting Numbers: [121, 58]
Generated Node #0,2,1: 99:[121, 58] Operation: 94-36=58
Exploring Operation: 121-94=27, Resulting Numbers: [36, 27]
Generated Node #0,2,2: 99:[36, 27] Operation: 121-94=27
Exploring Operation: 121-36=85, Resulting Numbers: [94, 85]
Generated Node #0,2,3: 99:[94, 85] Operation: 121-36=85
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 99:[36, 27], Operations: ['59+62=121', '121-94=27']
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,99 unequal: No Solution
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,99 unequal: No Solution
No 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: 99:[94, 85], Operations: ['59+62=121', '121-36=85']
Exploring Operation: 94+85=179, Resulting Numbers: [179]
179,99 unequal: No Solution
Exploring Operation: 94*85=7990, Resulting Numbers: [7990]
7990,99 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No 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: 99:[121, 58], Operations: ['59+62=121', '94-36=58']
Exploring Operation: 121*58=7018, Resulting Numbers: [7018]
7018,99 unequal: No Solution
Exploring Operation: 121+58=179, Resulting Numbers: [179]
179,99 unequal: No Solution
Exploring Operation: 121-58=63, Resulting Numbers: [63]
63,99 unequal: No Solution
No 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: 99:[121, 130], Operations: ['59+62=121', '36+94=130']
Exploring Operation: 121+130=251, Resulting Numbers: [251]
251,99 unequal: No Solution
Exploring Operation: 121*130=15730, Resulting Numbers: [15730]
15730,99 unequal: No Solution
Exploring Operation: 130-121=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[59, 94, 98], Operations: ['62+36=98']
Exploring Operation: 94-59=35, Resulting Numbers: [98, 35]
Generated Node #0,1,0: 99:[98, 35] Operation: 94-59=35
Exploring Operation: 59+94=153, Resulting Numbers: [98, 153]
Generated Node #0,1,1: 99:[98, 153] Operation: 59+94=153
Exploring Operation: 98-94=4, Resulting Numbers: [59, 4]
Generated Node #0,1,2: 99:[59, 4] Operation: 98-94=4
Exploring Operation: 98-59=39, Resulting Numbers: [94, 39]
Generated Node #0,1,3: 99:[94, 39] Operation: 98-59=39
Moving to Node #0,1,0
Current State: 99:[98, 35], Operations: ['62+36=98', '94-59=35']
Exploring Operation: 98+35=133, Resulting Numbers: [133]
133,99 unequal: No Solution
Exploring Operation: 98*35=3430, Resulting Numbers: [3430]
3430,99 unequal: No Solution
Exploring Operation: 98-35=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Moving to Node #0,1,3
Current State: 99:[94, 39], Operations: ['62+36=98', '98-59=39']
Exploring Operation: 94*39=3666, Resulting Numbers: [3666]
3666,99 unequal: No Solution
Exploring Operation: 94+39=133, Resulting Numbers: [133]
133,99 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[59, 4], Operations: ['62+36=98', '98-94=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,99 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,99 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[98, 153], Operations: ['62+36=98', '59+94=153']
Exploring Operation: 153-98=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 98*153=14994, Resulting Numbers: [14994]
14994,99 unequal: No Solution
Exploring Operation: 98+153=251, Resulting Numbers: [251]
251,99 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 |
[
13,
95,
43,
4
] | 90 | [
"95-13=82",
"43*4=172",
"172-82=90"
] | Current State: 90:[13, 95, 43, 4], Operations: []
Exploring Operation: 95-13=82, Resulting Numbers: [43, 4, 82]
Generated Node #2: [43, 4, 82] from Operation: 95-13=82
Current State: 90:[43, 4, 82], Operations: ['95-13=82']
Exploring Operation: 43*4=172, Resulting Numbers: [82, 172]
Generated Node #3: [82, 172] from Operation: 43*4=172
Current State: 90:[82, 172], Operations: ['95-13=82', '43*4=172']
Exploring Operation: 172-82=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[13, 95, 43, 4], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [95, 4, 30]
Generated Node #0,0: 90:[95, 4, 30] Operation: 43-13=30
Exploring Operation: 95-4=91, Resulting Numbers: [13, 43, 91]
Generated Node #0,1: 90:[13, 43, 91] Operation: 95-4=91
Moving to Node #0,1
Current State: 90:[13, 43, 91], Operations: ['95-4=91']
Exploring Operation: 43-13=30, Resulting Numbers: [91, 30]
Generated Node #0,1,0: 90:[91, 30] Operation: 43-13=30
Exploring Operation: 91/13=7, Resulting Numbers: [43, 7]
Generated Node #0,1,1: 90:[43, 7] Operation: 91/13=7
Moving to Node #0,0
Current State: 90:[95, 4, 30], Operations: ['43-13=30']
Exploring Operation: 95+4=99, Resulting Numbers: [30, 99]
Generated Node #0,0,0: 90:[30, 99] Operation: 95+4=99
Exploring Operation: 95-4=91, Resulting Numbers: [30, 91]
Generated Node #0,0,1: 90:[30, 91] Operation: 95-4=91
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[30, 91], Operations: ['43-13=30', '95-4=91']
Exploring Operation: 30+91=121, Resulting Numbers: [121]
121,90 unequal: No Solution
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[30, 99], Operations: ['43-13=30', '95+4=99']
Exploring Operation: 30+99=129, Resulting Numbers: [129]
129,90 unequal: No Solution
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,90 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: 90:[91, 30], Operations: ['95-4=91', '43-13=30']
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,90 unequal: No Solution
Exploring Operation: 91+30=121, Resulting Numbers: [121]
121,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[43, 7], Operations: ['95-4=91', '91/13=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,90 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
78,
49,
99,
98
] | 57 | [
"78*98=7644",
"7644/49=156",
"156-99=57"
] | Current State: 57:[78, 49, 99, 98], Operations: []
Exploring Operation: 78*98=7644, Resulting Numbers: [49, 99, 7644]
Generated Node #2: [49, 99, 7644] from Operation: 78*98=7644
Current State: 57:[49, 99, 7644], Operations: ['78*98=7644']
Exploring Operation: 7644/49=156, Resulting Numbers: [99, 156]
Generated Node #3: [99, 156] from Operation: 7644/49=156
Current State: 57:[99, 156], Operations: ['78*98=7644', '7644/49=156']
Exploring Operation: 156-99=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[78, 49, 99, 98], Operations: []
Exploring Operation: 99-98=1, Resulting Numbers: [78, 49, 1]
Generated Node #0,0: 57:[78, 49, 1] Operation: 99-98=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[78, 49, 1], Operations: ['99-98=1']
Exploring Operation: 78-49=29, Resulting Numbers: [1, 29]
Generated Node #0,0,0: 57:[1, 29] Operation: 78-49=29
Moving to Node #0,0,0
Current State: 57:[1, 29], Operations: ['99-98=1', '78-49=29']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,57 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 |
[
76,
22,
8,
78
] | 56 | [
"76+78=154",
"154/22=7",
"8*7=56"
] | Current State: 56:[76, 22, 8, 78], Operations: []
Exploring Operation: 76+78=154, Resulting Numbers: [22, 8, 154]
Generated Node #2: [22, 8, 154] from Operation: 76+78=154
Current State: 56:[22, 8, 154], Operations: ['76+78=154']
Exploring Operation: 154/22=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 154/22=7
Current State: 56:[8, 7], Operations: ['76+78=154', '154/22=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[76, 22, 8, 78], Operations: []
Exploring Operation: 76-8=68, Resulting Numbers: [22, 78, 68]
Generated Node #0,0: 56:[22, 78, 68] Operation: 76-8=68
Exploring Operation: 78-22=56, Resulting Numbers: [76, 8, 56]
Generated Node #0,1: 56:[76, 8, 56] Operation: 78-22=56
Exploring Operation: 78-76=2, Resulting Numbers: [22, 8, 2]
Generated Node #0,2: 56:[22, 8, 2] Operation: 78-76=2
Exploring Operation: 78-8=70, Resulting Numbers: [76, 22, 70]
Generated Node #0,3: 56:[76, 22, 70] Operation: 78-8=70
Exploring Operation: 76-22=54, Resulting Numbers: [8, 78, 54]
Generated Node #0,4: 56:[8, 78, 54] Operation: 76-22=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[22, 8, 2], Operations: ['78-76=2']
Exploring Operation: 22-8=14, Resulting Numbers: [2, 14]
Generated Node #0,2,0: 56:[2, 14] Operation: 22-8=14
Exploring Operation: 22-2=20, Resulting Numbers: [8, 20]
Generated Node #0,2,1: 56:[8, 20] Operation: 22-2=20
Exploring Operation: 22+2=24, Resulting Numbers: [8, 24]
Generated Node #0,2,2: 56:[8, 24] Operation: 22+2=24
Exploring Operation: 22+8=30, Resulting Numbers: [2, 30]
Generated Node #0,2,3: 56:[2, 30] Operation: 22+8=30
Exploring Operation: 22/2=11, Resulting Numbers: [8, 11]
Generated Node #0,2,4: 56:[8, 11] Operation: 22/2=11
Moving to Node #0,2,0
Current State: 56:[2, 14], Operations: ['78-76=2', '22-8=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[2, 30], Operations: ['78-76=2', '22+8=30']
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Moving to Node #0,2,4
Current State: 56:[8, 11], Operations: ['78-76=2', '22/2=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[8, 24], Operations: ['78-76=2', '22+2=24']
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,56 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[8, 20], Operations: ['78-76=2', '22-2=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,56 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[76, 8, 56], Operations: ['78-22=56']
Exploring Operation: 8+56=64, Resulting Numbers: [76, 64]
Generated Node #0,1,0: 56:[76, 64] Operation: 8+56=64
Exploring Operation: 56/8=7, Resulting Numbers: [76, 7]
Generated Node #0,1,1: 56:[76, 7] Operation: 56/8=7
Exploring Operation: 76+8=84, Resulting Numbers: [56, 84]
Generated Node #0,1,2: 56:[56, 84] Operation: 76+8=84
Exploring Operation: 76-8=68, Resulting Numbers: [56, 68]
Generated Node #0,1,3: 56:[56, 68] Operation: 76-8=68
Exploring Operation: 76-56=20, Resulting Numbers: [8, 20]
Generated Node #0,1,4: 56:[8, 20] Operation: 76-56=20
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 56:[8, 20], Operations: ['78-22=56', '76-56=20']
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,56 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,56 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 #0,1,3
Current State: 56:[56, 68], Operations: ['78-22=56', '76-8=68']
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,56 unequal: No Solution
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[76, 7], Operations: ['78-22=56', '56/8=7']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,56 unequal: No Solution
Exploring Operation: 76*7=532, Resulting Numbers: [532]
532,56 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:[76, 64], Operations: ['78-22=56', '8+56=64']
Exploring Operation: 76+64=140, Resulting Numbers: [140]
140,56 unequal: No Solution
Exploring Operation: 76*64=4864, Resulting Numbers: [4864]
4864,56 unequal: No Solution
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,56 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:[56, 84], Operations: ['78-22=56', '76+8=84']
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 56*84=4704, Resulting Numbers: [4704]
4704,56 unequal: No Solution
Exploring Operation: 56+84=140, Resulting Numbers: [140]
140,56 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 #0,4
Current State: 56:[8, 78, 54], Operations: ['76-22=54']
Exploring Operation: 8+78=86, Resulting Numbers: [54, 86]
Generated Node #0,4,0: 56:[54, 86] Operation: 8+78=86
Exploring Operation: 78-54=24, Resulting Numbers: [8, 24]
Generated Node #0,4,1: 56:[8, 24] Operation: 78-54=24
Exploring Operation: 8+54=62, Resulting Numbers: [78, 62]
Generated Node #0,4,2: 56:[78, 62] Operation: 8+54=62
Exploring Operation: 78-8=70, Resulting Numbers: [54, 70]
Generated Node #0,4,3: 56:[54, 70] Operation: 78-8=70
Exploring Operation: 54-8=46, Resulting Numbers: [78, 46]
Generated Node #0,4,4: 56:[78, 46] Operation: 54-8=46
Moving to Node #0,4,1
Current State: 56:[8, 24], Operations: ['76-22=54', '78-54=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,56 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Moving to Node #0,4,3
Current State: 56:[54, 70], Operations: ['76-22=54', '78-8=70']
Exploring Operation: 54+70=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Exploring Operation: 54*70=3780, Resulting Numbers: [3780]
3780,56 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Moving to Node #0,4,2
Current State: 56:[78, 62], Operations: ['76-22=54', '8+54=62']
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 78*62=4836, Resulting Numbers: [4836]
4836,56 unequal: No Solution
Exploring Operation: 78+62=140, Resulting Numbers: [140]
140,56 unequal: No Solution
Moving to Node #0,4,0
Current State: 56:[54, 86], Operations: ['76-22=54', '8+78=86']
Exploring Operation: 54+86=140, Resulting Numbers: [140]
140,56 unequal: No Solution
Exploring Operation: 86-54=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 54*86=4644, Resulting Numbers: [4644]
4644,56 unequal: No Solution
Moving to Node #0,4,4
Current State: 56:[78, 46], Operations: ['76-22=54', '54-8=46']
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,56 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[22, 78, 68], Operations: ['76-8=68']
Exploring Operation: 68-22=46, Resulting Numbers: [78, 46]
Generated Node #0,0,0: 56:[78, 46] Operation: 68-22=46
Exploring Operation: 78-22=56, Resulting Numbers: [68, 56]
Generated Node #0,0,1: 56:[68, 56] Operation: 78-22=56
Exploring Operation: 78-68=10, Resulting Numbers: [22, 10]
Generated Node #0,0,2: 56:[22, 10] Operation: 78-68=10
Exploring Operation: 22+68=90, Resulting Numbers: [78, 90]
Generated Node #0,0,3: 56:[78, 90] Operation: 22+68=90
Exploring Operation: 22+78=100, Resulting Numbers: [68, 100]
Generated Node #0,0,4: 56:[68, 100] Operation: 22+78=100
Moving to Node #0,0,2
Current State: 56:[22, 10], Operations: ['76-8=68', '78-68=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[68, 56], Operations: ['76-8=68', '78-22=56']
Exploring Operation: 68*56=3808, Resulting Numbers: [3808]
3808,56 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 68+56=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[78, 46], Operations: ['76-8=68', '68-22=46']
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,56 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[78, 90], Operations: ['76-8=68', '22+68=90']
Exploring Operation: 78+90=168, Resulting Numbers: [168]
168,56 unequal: No Solution
Exploring Operation: 78*90=7020, Resulting Numbers: [7020]
7020,56 unequal: No Solution
Exploring Operation: 90-78=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Moving to Node #0,0,4
Current State: 56:[68, 100], Operations: ['76-8=68', '22+78=100']
Exploring Operation: 68+100=168, Resulting Numbers: [168]
168,56 unequal: No Solution
Exploring Operation: 68*100=6800, Resulting Numbers: [6800]
6800,56 unequal: No Solution
Exploring Operation: 100-68=32, Resulting Numbers: [32]
32,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[76, 22, 70], Operations: ['78-8=70']
Exploring Operation: 76-70=6, Resulting Numbers: [22, 6]
Generated Node #0,3,0: 56:[22, 6] Operation: 76-70=6
Exploring Operation: 22+70=92, Resulting Numbers: [76, 92]
Generated Node #0,3,1: 56:[76, 92] Operation: 22+70=92
Exploring Operation: 76+22=98, Resulting Numbers: [70, 98]
Generated Node #0,3,2: 56:[70, 98] Operation: 76+22=98
Exploring Operation: 76-22=54, Resulting Numbers: [70, 54]
Generated Node #0,3,3: 56:[70, 54] Operation: 76-22=54
Exploring Operation: 70-22=48, Resulting Numbers: [76, 48]
Generated Node #0,3,4: 56:[76, 48] Operation: 70-22=48
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[22, 6], Operations: ['78-8=70', '76-70=6']
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,56 unequal: No Solution
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,56 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 #0,3,3
Current State: 56:[70, 54], Operations: ['78-8=70', '76-22=54']
Exploring Operation: 70*54=3780, Resulting Numbers: [3780]
3780,56 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 70+54=124, Resulting Numbers: [124]
124,56 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 #0,3,4
Current State: 56:[76, 48], Operations: ['78-8=70', '70-22=48']
Exploring Operation: 76*48=3648, Resulting Numbers: [3648]
3648,56 unequal: No Solution
Exploring Operation: 76-48=28, Resulting Numbers: [28]
28,56 unequal: No Solution
Exploring Operation: 76+48=124, Resulting Numbers: [124]
124,56 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 #0,3,1
Current State: 56:[76, 92], Operations: ['78-8=70', '22+70=92']
Exploring Operation: 76*92=6992, Resulting Numbers: [6992]
6992,56 unequal: No Solution
Exploring Operation: 92-76=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 76+92=168, Resulting Numbers: [168]
168,56 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 #0,3,2
Current State: 56:[70, 98], Operations: ['78-8=70', '76+22=98']
Exploring Operation: 70*98=6860, Resulting Numbers: [6860]
6860,56 unequal: No Solution
Exploring Operation: 70+98=168, Resulting Numbers: [168]
168,56 unequal: No Solution
Exploring Operation: 98-70=28, Resulting Numbers: [28]
28,56 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_5 | mult_heuristic |
[
5,
49,
52,
53
] | 55 | [
"5+49=54",
"53-52=1",
"54+1=55"
] | Current State: 55:[5, 49, 52, 53], Operations: []
Exploring Operation: 5+49=54, Resulting Numbers: [52, 53, 54]
Generated Node #2: [52, 53, 54] from Operation: 5+49=54
Current State: 55:[52, 53, 54], Operations: ['5+49=54']
Exploring Operation: 53-52=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 53-52=1
Current State: 55:[54, 1], Operations: ['5+49=54', '53-52=1']
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[5, 49, 52, 53], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [5, 53, 3]
Generated Node #0,0: 55:[5, 53, 3] Operation: 52-49=3
Exploring Operation: 53-49=4, Resulting Numbers: [5, 52, 4]
Generated Node #0,1: 55:[5, 52, 4] Operation: 53-49=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[5, 53, 3], Operations: ['52-49=3']
Exploring Operation: 53+3=56, Resulting Numbers: [5, 56]
Generated Node #0,0,0: 55:[5, 56] Operation: 53+3=56
Exploring Operation: 5+53=58, Resulting Numbers: [3, 58]
Generated Node #0,0,1: 55:[3, 58] Operation: 5+53=58
Moving to Node #0,0,0
Current State: 55:[5, 56], Operations: ['52-49=3', '53+3=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 5+56=61, Resulting Numbers: [61]
61,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[3, 58], Operations: ['52-49=3', '5+53=58']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[5, 49, 52, 53], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [5, 53, 3]
Generated Node #0,0: 55:[5, 53, 3] Operation: 52-49=3
Moving to Node #0,0
Current State: 55:[5, 53, 3], Operations: ['52-49=3']
Exploring Operation: 5+53=58, Resulting Numbers: [3, 58]
Generated Node #0,0,1: 55:[3, 58] Operation: 5+53=58
Moving to Node #0,0,1
Current State: 55:[3, 58], Operations: ['52-49=3', '5+53=58']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
53,
76,
59,
97
] | 76 | [
"59*97=5723",
"53+5723=5776",
"5776/76=76"
] | Current State: 76:[53, 76, 59, 97], Operations: []
Exploring Operation: 59*97=5723, Resulting Numbers: [53, 76, 5723]
Generated Node #2: [53, 76, 5723] from Operation: 59*97=5723
Current State: 76:[53, 76, 5723], Operations: ['59*97=5723']
Exploring Operation: 53+5723=5776, Resulting Numbers: [76, 5776]
Generated Node #3: [76, 5776] from Operation: 53+5723=5776
Current State: 76:[76, 5776], Operations: ['59*97=5723', '53+5723=5776']
Exploring Operation: 5776/76=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[53, 76, 59, 97], Operations: []
Exploring Operation: 97-59=38, Resulting Numbers: [53, 76, 38]
Generated Node #0,0: 76:[53, 76, 38] Operation: 97-59=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[53, 76, 38], Operations: ['97-59=38']
Exploring Operation: 76-53=23, Resulting Numbers: [38, 23]
Generated Node #0,0,0: 76:[38, 23] Operation: 76-53=23
Moving to Node #0,0,0
Current State: 76:[38, 23], Operations: ['97-59=38', '76-53=23']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
75,
53,
71,
7
] | 25 | [
"75-71=4",
"7*4=28",
"53-28=25"
] | Current State: 25:[75, 53, 71, 7], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [53, 7, 4]
Generated Node #2: [53, 7, 4] from Operation: 75-71=4
Current State: 25:[53, 7, 4], Operations: ['75-71=4']
Exploring Operation: 7*4=28, Resulting Numbers: [53, 28]
Generated Node #3: [53, 28] from Operation: 7*4=28
Current State: 25:[53, 28], Operations: ['75-71=4', '7*4=28']
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[75, 53, 71, 7], Operations: []
Exploring Operation: 75-7=68, Resulting Numbers: [53, 71, 68]
Generated Node #0,0: 25:[53, 71, 68] Operation: 75-7=68
Exploring Operation: 53-7=46, Resulting Numbers: [75, 71, 46]
Generated Node #0,1: 25:[75, 71, 46] Operation: 53-7=46
Exploring Operation: 75-71=4, Resulting Numbers: [53, 7, 4]
Generated Node #0,2: 25:[53, 7, 4] Operation: 75-71=4
Exploring Operation: 71-53=18, Resulting Numbers: [75, 7, 18]
Generated Node #0,3: 25:[75, 7, 18] Operation: 71-53=18
Exploring Operation: 75-53=22, Resulting Numbers: [71, 7, 22]
Generated Node #0,4: 25:[71, 7, 22] Operation: 75-53=22
Moving to Node #0,2
Current State: 25:[53, 7, 4], Operations: ['75-71=4']
Exploring Operation: 7*4=28, Resulting Numbers: [53, 28]
Generated Node #0,2,0: 25:[53, 28] Operation: 7*4=28
Exploring Operation: 53-7=46, Resulting Numbers: [4, 46]
Generated Node #0,2,1: 25:[4, 46] Operation: 53-7=46
Exploring Operation: 7-4=3, Resulting Numbers: [53, 3]
Generated Node #0,2,2: 25:[53, 3] Operation: 7-4=3
Exploring Operation: 53-4=49, Resulting Numbers: [7, 49]
Generated Node #0,2,3: 25:[7, 49] Operation: 53-4=49
Exploring Operation: 53+4=57, Resulting Numbers: [7, 57]
Generated Node #0,2,4: 25:[7, 57] Operation: 53+4=57
Moving to Node #0,4
Current State: 25:[71, 7, 22], Operations: ['75-53=22']
Exploring Operation: 71-7=64, Resulting Numbers: [22, 64]
Generated Node #0,4,0: 25:[22, 64] Operation: 71-7=64
Exploring Operation: 7+22=29, Resulting Numbers: [71, 29]
Generated Node #0,4,1: 25:[71, 29] Operation: 7+22=29
Exploring Operation: 71-22=49, Resulting Numbers: [7, 49]
Generated Node #0,4,2: 25:[7, 49] Operation: 71-22=49
Exploring Operation: 22-7=15, Resulting Numbers: [71, 15]
Generated Node #0,4,3: 25:[71, 15] Operation: 22-7=15
Exploring Operation: 71+7=78, Resulting Numbers: [22, 78]
Generated Node #0,4,4: 25:[22, 78] Operation: 71+7=78
Moving to Node #0,3
Current State: 25:[75, 7, 18], Operations: ['71-53=18']
Exploring Operation: 75+7=82, Resulting Numbers: [18, 82]
Generated Node #0,3,0: 25:[18, 82] Operation: 75+7=82
Exploring Operation: 75-18=57, Resulting Numbers: [7, 57]
Generated Node #0,3,1: 25:[7, 57] Operation: 75-18=57
Exploring Operation: 75-7=68, Resulting Numbers: [18, 68]
Generated Node #0,3,2: 25:[18, 68] Operation: 75-7=68
Exploring Operation: 18-7=11, Resulting Numbers: [75, 11]
Generated Node #0,3,3: 25:[75, 11] Operation: 18-7=11
Exploring Operation: 7+18=25, Resulting Numbers: [75, 25]
Generated Node #0,3,4: 25:[75, 25] Operation: 7+18=25
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[7, 57], Operations: ['71-53=18', '75-18=57']
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,25 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,25 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 #0,3,2
Current State: 25:[18, 68], Operations: ['71-53=18', '75-7=68']
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,25 unequal: No Solution
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,25 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 #0,3,4
Current State: 25:[75, 25], Operations: ['71-53=18', '7+18=25']
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 75*25=1875, Resulting Numbers: [1875]
1875,25 unequal: No Solution
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,25 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 #0,3,3
Current State: 25:[75, 11], Operations: ['71-53=18', '18-7=11']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 75*11=825, Resulting Numbers: [825]
825,25 unequal: No Solution
Exploring Operation: 75+11=86, Resulting Numbers: [86]
86,25 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 #0,3,0
Current State: 25:[18, 82], Operations: ['71-53=18', '75+7=82']
Exploring Operation: 82-18=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 18+82=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 18*82=1476, Resulting Numbers: [1476]
1476,25 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: 25:[53, 71, 68], Operations: ['75-7=68']
Exploring Operation: 71-68=3, Resulting Numbers: [53, 3]
Generated Node #0,0,0: 25:[53, 3] Operation: 71-68=3
Exploring Operation: 53+71=124, Resulting Numbers: [68, 124]
Generated Node #0,0,1: 25:[68, 124] Operation: 53+71=124
Exploring Operation: 71-53=18, Resulting Numbers: [68, 18]
Generated Node #0,0,2: 25:[68, 18] Operation: 71-53=18
Exploring Operation: 53+68=121, Resulting Numbers: [71, 121]
Generated Node #0,0,3: 25:[71, 121] Operation: 53+68=121
Exploring Operation: 68-53=15, Resulting Numbers: [71, 15]
Generated Node #0,0,4: 25:[71, 15] Operation: 68-53=15
Moving to Node #0,1
Current State: 25:[75, 71, 46], Operations: ['53-7=46']
Exploring Operation: 71-46=25, Resulting Numbers: [75, 25]
Generated Node #0,1,0: 25:[75, 25] Operation: 71-46=25
Exploring Operation: 75-71=4, Resulting Numbers: [46, 4]
Generated Node #0,1,1: 25:[46, 4] Operation: 75-71=4
Exploring Operation: 75+71=146, Resulting Numbers: [46, 146]
Generated Node #0,1,2: 25:[46, 146] Operation: 75+71=146
Exploring Operation: 75+46=121, Resulting Numbers: [71, 121]
Generated Node #0,1,3: 25:[71, 121] Operation: 75+46=121
Exploring Operation: 75-46=29, Resulting Numbers: [71, 29]
Generated Node #0,1,4: 25:[71, 29] Operation: 75-46=29
Moving to Node #0,2,1
Current State: 25:[4, 46], Operations: ['75-71=4', '53-7=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[46, 4], Operations: ['53-7=46', '75-71=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[7, 49], Operations: ['75-53=22', '71-22=49']
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 7*49=343, Resulting Numbers: [343]
343,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[7, 49], Operations: ['75-71=4', '53-4=49']
Exploring Operation: 7*49=343, Resulting Numbers: [343]
343,25 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[53, 3], Operations: ['75-71=4', '7-4=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,25 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[53, 3], Operations: ['75-7=68', '71-68=3']
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,25 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[53, 28], Operations: ['75-71=4', '7*4=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,25 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[75, 53, 71, 7], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [53, 7, 4]
Generated Node #0,2: 25:[53, 7, 4] Operation: 75-71=4
Moving to Node #0,2
Current State: 25:[53, 7, 4], Operations: ['75-71=4']
Exploring Operation: 7*4=28, Resulting Numbers: [53, 28]
Generated Node #0,2,0: 25:[53, 28] Operation: 7*4=28
Moving to Node #0,2,0
Current State: 25:[53, 28], Operations: ['75-71=4', '7*4=28']
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.936632 | hs_5 | sum_heuristic |
[
51,
32,
98,
66
] | 51 | [
"51+32=83",
"98-66=32",
"83-32=51"
] | Current State: 51:[51, 32, 98, 66], Operations: []
Exploring Operation: 51+32=83, Resulting Numbers: [98, 66, 83]
Generated Node #2: [98, 66, 83] from Operation: 51+32=83
Current State: 51:[98, 66, 83], Operations: ['51+32=83']
Exploring Operation: 98-66=32, Resulting Numbers: [83, 32]
Generated Node #3: [83, 32] from Operation: 98-66=32
Current State: 51:[83, 32], Operations: ['51+32=83', '98-66=32']
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[51, 32, 98, 66], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [51, 32, 32]
Generated Node #0,0: 51:[51, 32, 32] Operation: 98-66=32
Exploring Operation: 66-51=15, Resulting Numbers: [32, 98, 15]
Generated Node #0,1: 51:[32, 98, 15] Operation: 66-51=15
Exploring Operation: 98-51=47, Resulting Numbers: [32, 66, 47]
Generated Node #0,2: 51:[32, 66, 47] Operation: 98-51=47
Exploring Operation: 51-32=19, Resulting Numbers: [98, 66, 19]
Generated Node #0,3: 51:[98, 66, 19] Operation: 51-32=19
Exploring Operation: 98-32=66, Resulting Numbers: [51, 66, 66]
Generated Node #0,4: 51:[51, 66, 66] Operation: 98-32=66
Moving to Node #0,0
Current State: 51:[51, 32, 32], Operations: ['98-66=32']
Exploring Operation: 32+32=64, Resulting Numbers: [51, 64]
Generated Node #0,0,0: 51:[51, 64] Operation: 32+32=64
Exploring Operation: 51-32=19, Resulting Numbers: [32, 19]
Generated Node #0,0,1: 51:[32, 19] Operation: 51-32=19
Exploring Operation: 32-32=0, Resulting Numbers: [51, 0]
Generated Node #0,0,2: 51:[51, 0] Operation: 32-32=0
Exploring Operation: 32/32=1, Resulting Numbers: [51, 1]
Generated Node #0,0,3: 51:[51, 1] Operation: 32/32=1
Exploring Operation: 51-32=19, Resulting Numbers: [32, 19]
Generated Node #0,0,4: 51:[32, 19] Operation: 51-32=19
Moving to Node #0,4
Current State: 51:[51, 66, 66], Operations: ['98-32=66']
Exploring Operation: 66/66=1, Resulting Numbers: [51, 1]
Generated Node #0,4,0: 51:[51, 1] Operation: 66/66=1
Exploring Operation: 66-66=0, Resulting Numbers: [51, 0]
Generated Node #0,4,1: 51:[51, 0] Operation: 66-66=0
Exploring Operation: 66-51=15, Resulting Numbers: [66, 15]
Generated Node #0,4,2: 51:[66, 15] Operation: 66-51=15
Exploring Operation: 51+66=117, Resulting Numbers: [66, 117]
Generated Node #0,4,3: 51:[66, 117] Operation: 51+66=117
Exploring Operation: 66-51=15, Resulting Numbers: [66, 15]
Generated Node #0,4,4: 51:[66, 15] Operation: 66-51=15
Moving to Node #0,2
Current State: 51:[32, 66, 47], Operations: ['98-51=47']
Exploring Operation: 66-32=34, Resulting Numbers: [47, 34]
Generated Node #0,2,0: 51:[47, 34] Operation: 66-32=34
Exploring Operation: 32+47=79, Resulting Numbers: [66, 79]
Generated Node #0,2,1: 51:[66, 79] Operation: 32+47=79
Exploring Operation: 66-47=19, Resulting Numbers: [32, 19]
Generated Node #0,2,2: 51:[32, 19] Operation: 66-47=19
Exploring Operation: 47-32=15, Resulting Numbers: [66, 15]
Generated Node #0,2,3: 51:[66, 15] Operation: 47-32=15
Exploring Operation: 32+66=98, Resulting Numbers: [47, 98]
Generated Node #0,2,4: 51:[47, 98] Operation: 32+66=98
Moving to Node #0,1
Current State: 51:[32, 98, 15], Operations: ['66-51=15']
Exploring Operation: 32+15=47, Resulting Numbers: [98, 47]
Generated Node #0,1,0: 51:[98, 47] Operation: 32+15=47
Exploring Operation: 32-15=17, Resulting Numbers: [98, 17]
Generated Node #0,1,1: 51:[98, 17] Operation: 32-15=17
Exploring Operation: 98-15=83, Resulting Numbers: [32, 83]
Generated Node #0,1,2: 51:[32, 83] Operation: 98-15=83
Exploring Operation: 98-32=66, Resulting Numbers: [15, 66]
Generated Node #0,1,3: 51:[15, 66] Operation: 98-32=66
Exploring Operation: 98+15=113, Resulting Numbers: [32, 113]
Generated Node #0,1,4: 51:[32, 113] Operation: 98+15=113
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 51:[15, 66], Operations: ['66-51=15', '98-32=66']
Exploring Operation: 15+66=81, Resulting Numbers: [81]
81,51 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[51, 32, 98, 66], Operations: []
Exploring Operation: 66-51=15, Resulting Numbers: [32, 98, 15]
Generated Node #0,1: 51:[32, 98, 15] Operation: 66-51=15
Moving to Node #0,1
Current State: 51:[32, 98, 15], Operations: ['66-51=15']
Exploring Operation: 98-32=66, Resulting Numbers: [15, 66]
Generated Node #0,1,3: 51:[15, 66] Operation: 98-32=66
Moving to Node #0,1,3
Current State: 51:[15, 66], Operations: ['66-51=15', '98-32=66']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_5 | sum_heuristic |
[
34,
51,
27,
83
] | 65 | [
"34*27=918",
"918/51=18",
"83-18=65"
] | Current State: 65:[34, 51, 27, 83], Operations: []
Exploring Operation: 34*27=918, Resulting Numbers: [51, 83, 918]
Generated Node #2: [51, 83, 918] from Operation: 34*27=918
Current State: 65:[51, 83, 918], Operations: ['34*27=918']
Exploring Operation: 918/51=18, Resulting Numbers: [83, 18]
Generated Node #3: [83, 18] from Operation: 918/51=18
Current State: 65:[83, 18], Operations: ['34*27=918', '918/51=18']
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[34, 51, 27, 83], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [51, 83, 7]
Generated Node #0,0: 65:[51, 83, 7] Operation: 34-27=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[51, 83, 7], Operations: ['34-27=7']
Exploring Operation: 83-51=32, Resulting Numbers: [7, 32]
Generated Node #0,0,0: 65:[7, 32] Operation: 83-51=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[7, 32], Operations: ['34-27=7', '83-51=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
26,
91,
94,
2
] | 62 | [
"26+94=120",
"91*2=182",
"182-120=62"
] | Current State: 62:[26, 91, 94, 2], Operations: []
Exploring Operation: 26+94=120, Resulting Numbers: [91, 2, 120]
Generated Node #2: [91, 2, 120] from Operation: 26+94=120
Current State: 62:[91, 2, 120], Operations: ['26+94=120']
Exploring Operation: 91*2=182, Resulting Numbers: [120, 182]
Generated Node #3: [120, 182] from Operation: 91*2=182
Current State: 62:[120, 182], Operations: ['26+94=120', '91*2=182']
Exploring Operation: 182-120=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[26, 91, 94, 2], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [26, 2, 3]
Generated Node #0,0: 62:[26, 2, 3] Operation: 94-91=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[26, 2, 3], Operations: ['94-91=3']
Exploring Operation: 26+3=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 62:[2, 29] Operation: 26+3=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[2, 29], Operations: ['94-91=3', '26+3=29']
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
80,
82,
88,
98
] | 20 | [
"82-80=2",
"98-88=10",
"2*10=20"
] | Current State: 20:[80, 82, 88, 98], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [88, 98, 2]
Generated Node #2: [88, 98, 2] from Operation: 82-80=2
Current State: 20:[88, 98, 2], Operations: ['82-80=2']
Exploring Operation: 98-88=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 98-88=10
Current State: 20:[2, 10], Operations: ['82-80=2', '98-88=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[80, 82, 88, 98], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [80, 82, 10]
Generated Node #0,0: 20:[80, 82, 10] Operation: 98-88=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[80, 82, 10], Operations: ['98-88=10']
Exploring Operation: 82-80=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 20:[10, 2] Operation: 82-80=2
Moving to Node #0,0,0
Current State: 20:[10, 2], Operations: ['98-88=10', '82-80=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[80, 82, 88, 98], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [80, 82, 10]
Generated Node #0,0: 20:[80, 82, 10] Operation: 98-88=10
Moving to Node #0,0
Current State: 20:[80, 82, 10], Operations: ['98-88=10']
Exploring Operation: 82-80=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 20:[10, 2] Operation: 82-80=2
Moving to Node #0,0,0
Current State: 20:[10, 2], Operations: ['98-88=10', '82-80=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
86,
47,
51,
20
] | 91 | [
"51-47=4",
"20/4=5",
"86+5=91"
] | Current State: 91:[86, 47, 51, 20], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [86, 20, 4]
Generated Node #2: [86, 20, 4] from Operation: 51-47=4
Current State: 91:[86, 20, 4], Operations: ['51-47=4']
Exploring Operation: 20/4=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 20/4=5
Current State: 91:[86, 5], Operations: ['51-47=4', '20/4=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[86, 47, 51, 20], Operations: []
Exploring Operation: 51+20=71, Resulting Numbers: [86, 47, 71]
Generated Node #0,0: 91:[86, 47, 71] Operation: 51+20=71
Exploring Operation: 47-20=27, Resulting Numbers: [86, 51, 27]
Generated Node #0,1: 91:[86, 51, 27] Operation: 47-20=27
Exploring Operation: 47+51=98, Resulting Numbers: [86, 20, 98]
Generated Node #0,2: 91:[86, 20, 98] Operation: 47+51=98
Exploring Operation: 51-20=31, Resulting Numbers: [86, 47, 31]
Generated Node #0,3: 91:[86, 47, 31] Operation: 51-20=31
Exploring Operation: 51-47=4, Resulting Numbers: [86, 20, 4]
Generated Node #0,4: 91:[86, 20, 4] Operation: 51-47=4
Moving to Node #0,4
Current State: 91:[86, 20, 4], Operations: ['51-47=4']
Exploring Operation: 20/4=5, Resulting Numbers: [86, 5]
Generated Node #0,4,0: 91:[86, 5] Operation: 20/4=5
Exploring Operation: 86+4=90, Resulting Numbers: [20, 90]
Generated Node #0,4,1: 91:[20, 90] Operation: 86+4=90
Exploring Operation: 20+4=24, Resulting Numbers: [86, 24]
Generated Node #0,4,2: 91:[86, 24] Operation: 20+4=24
Exploring Operation: 86-4=82, Resulting Numbers: [20, 82]
Generated Node #0,4,3: 91:[20, 82] Operation: 86-4=82
Exploring Operation: 20-4=16, Resulting Numbers: [86, 16]
Generated Node #0,4,4: 91:[86, 16] Operation: 20-4=16
Moving to Node #0,2
Current State: 91:[86, 20, 98], Operations: ['47+51=98']
Exploring Operation: 86+20=106, Resulting Numbers: [98, 106]
Generated Node #0,2,0: 91:[98, 106] Operation: 86+20=106
Exploring Operation: 20+98=118, Resulting Numbers: [86, 118]
Generated Node #0,2,1: 91:[86, 118] Operation: 20+98=118
Exploring Operation: 86-20=66, Resulting Numbers: [98, 66]
Generated Node #0,2,2: 91:[98, 66] Operation: 86-20=66
Exploring Operation: 98-86=12, Resulting Numbers: [20, 12]
Generated Node #0,2,3: 91:[20, 12] Operation: 98-86=12
Exploring Operation: 98-20=78, Resulting Numbers: [86, 78]
Generated Node #0,2,4: 91:[86, 78] Operation: 98-20=78
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 91:[20, 12], Operations: ['47+51=98', '98-86=12']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,91 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 91:[86, 78], Operations: ['47+51=98', '98-20=78']
Exploring Operation: 86*78=6708, Resulting Numbers: [6708]
6708,91 unequal: No Solution
Exploring Operation: 86+78=164, Resulting Numbers: [164]
164,91 unequal: No Solution
Exploring Operation: 86-78=8, Resulting Numbers: [8]
8,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[98, 106], Operations: ['47+51=98', '86+20=106']
Exploring Operation: 106-98=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 98+106=204, Resulting Numbers: [204]
204,91 unequal: No Solution
Exploring Operation: 98*106=10388, Resulting Numbers: [10388]
10388,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[86, 118], Operations: ['47+51=98', '20+98=118']
Exploring Operation: 86*118=10148, Resulting Numbers: [10148]
10148,91 unequal: No Solution
Exploring Operation: 118-86=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 86+118=204, Resulting Numbers: [204]
204,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[98, 66], Operations: ['47+51=98', '86-20=66']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 98*66=6468, Resulting Numbers: [6468]
6468,91 unequal: No Solution
Exploring Operation: 98+66=164, Resulting Numbers: [164]
164,91 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: 91:[86, 51, 27], Operations: ['47-20=27']
Exploring Operation: 51-27=24, Resulting Numbers: [86, 24]
Generated Node #0,1,0: 91:[86, 24] Operation: 51-27=24
Exploring Operation: 86-51=35, Resulting Numbers: [27, 35]
Generated Node #0,1,1: 91:[27, 35] Operation: 86-51=35
Exploring Operation: 51+27=78, Resulting Numbers: [86, 78]
Generated Node #0,1,2: 91:[86, 78] Operation: 51+27=78
Exploring Operation: 86+51=137, Resulting Numbers: [27, 137]
Generated Node #0,1,3: 91:[27, 137] Operation: 86+51=137
Exploring Operation: 86+27=113, Resulting Numbers: [51, 113]
Generated Node #0,1,4: 91:[51, 113] Operation: 86+27=113
Moving to Node #0,3
Current State: 91:[86, 47, 31], Operations: ['51-20=31']
Exploring Operation: 47-31=16, Resulting Numbers: [86, 16]
Generated Node #0,3,0: 91:[86, 16] Operation: 47-31=16
Exploring Operation: 86-47=39, Resulting Numbers: [31, 39]
Generated Node #0,3,1: 91:[31, 39] Operation: 86-47=39
Exploring Operation: 86+31=117, Resulting Numbers: [47, 117]
Generated Node #0,3,2: 91:[47, 117] Operation: 86+31=117
Exploring Operation: 47+31=78, Resulting Numbers: [86, 78]
Generated Node #0,3,3: 91:[86, 78] Operation: 47+31=78
Exploring Operation: 86+47=133, Resulting Numbers: [31, 133]
Generated Node #0,3,4: 91:[31, 133] Operation: 86+47=133
Moving to Node #0,0
Current State: 91:[86, 47, 71], Operations: ['51+20=71']
Exploring Operation: 86-47=39, Resulting Numbers: [71, 39]
Generated Node #0,0,0: 91:[71, 39] Operation: 86-47=39
Exploring Operation: 86-71=15, Resulting Numbers: [47, 15]
Generated Node #0,0,1: 91:[47, 15] Operation: 86-71=15
Exploring Operation: 86+47=133, Resulting Numbers: [71, 133]
Generated Node #0,0,2: 91:[71, 133] Operation: 86+47=133
Exploring Operation: 47+71=118, Resulting Numbers: [86, 118]
Generated Node #0,0,3: 91:[86, 118] Operation: 47+71=118
Exploring Operation: 71-47=24, Resulting Numbers: [86, 24]
Generated Node #0,0,4: 91:[86, 24] Operation: 71-47=24
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 91:[86, 24], Operations: ['51+20=71', '71-47=24']
Exploring Operation: 86*24=2064, Resulting Numbers: [2064]
2064,91 unequal: No Solution
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,91 unequal: No Solution
Exploring Operation: 86+24=110, Resulting Numbers: [110]
110,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[86, 118], Operations: ['51+20=71', '47+71=118']
Exploring Operation: 86*118=10148, Resulting Numbers: [10148]
10148,91 unequal: No Solution
Exploring Operation: 86+118=204, Resulting Numbers: [204]
204,91 unequal: No Solution
Exploring Operation: 118-86=32, Resulting Numbers: [32]
32,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[47, 15], Operations: ['51+20=71', '86-71=15']
Exploring Operation: 47+15=62, Resulting Numbers: [62]
62,91 unequal: No Solution
Exploring Operation: 47*15=705, Resulting Numbers: [705]
705,91 unequal: No Solution
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[71, 39], Operations: ['51+20=71', '86-47=39']
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 71*39=2769, Resulting Numbers: [2769]
2769,91 unequal: No Solution
Exploring Operation: 71+39=110, Resulting Numbers: [110]
110,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[71, 133], Operations: ['51+20=71', '86+47=133']
Exploring Operation: 71+133=204, Resulting Numbers: [204]
204,91 unequal: No Solution
Exploring Operation: 133-71=62, Resulting Numbers: [62]
62,91 unequal: No Solution
Exploring Operation: 71*133=9443, Resulting Numbers: [9443]
9443,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 91:[86, 5], Operations: ['51-47=4', '20/4=5']
Exploring Operation: 86*5=430, Resulting Numbers: [430]
430,91 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[86, 47, 51, 20], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [86, 20, 4]
Generated Node #0,4: 91:[86, 20, 4] Operation: 51-47=4
Moving to Node #0,4
Current State: 91:[86, 20, 4], Operations: ['51-47=4']
Exploring Operation: 20/4=5, Resulting Numbers: [86, 5]
Generated Node #0,4,0: 91:[86, 5] Operation: 20/4=5
Moving to Node #0,4,0
Current State: 91:[86, 5], Operations: ['51-47=4', '20/4=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.94184 | hs_5 | mult_heuristic |
[
80,
80,
85,
33
] | 17 | [
"85-80=5",
"80/5=16",
"33-16=17"
] | Current State: 17:[80, 80, 85, 33], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [33, 5]
Generated Node #2: [33, 5] from Operation: 85-80=5
Current State: 17:[33, 5], Operations: ['85-80=5']
Exploring Operation: 80/5=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 80/5=16
Current State: 17:[33, 16], Operations: ['85-80=5', '80/5=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[80, 80, 85, 33], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [80, 33, 5]
Generated Node #0,0: 17:[80, 33, 5] Operation: 85-80=5
Moving to Node #0,0
Current State: 17:[80, 33, 5], Operations: ['85-80=5']
Exploring Operation: 80/5=16, Resulting Numbers: [33, 16]
Generated Node #0,0,0: 17:[33, 16] Operation: 80/5=16
Moving to Node #0,0,0
Current State: 17:[33, 16], Operations: ['85-80=5', '80/5=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[80, 80, 85, 33], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [80, 33, 5]
Generated Node #0,0: 17:[80, 33, 5] Operation: 85-80=5
Moving to Node #0,0
Current State: 17:[80, 33, 5], Operations: ['85-80=5']
Exploring Operation: 80/5=16, Resulting Numbers: [33, 16]
Generated Node #0,0,0: 17:[33, 16] Operation: 80/5=16
Moving to Node #0,0,0
Current State: 17:[33, 16], Operations: ['85-80=5', '80/5=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
4,
34,
57,
58
] | 34 | [
"57-34=23",
"4*23=92",
"92-58=34"
] | Current State: 34:[4, 34, 57, 58], Operations: []
Exploring Operation: 57-34=23, Resulting Numbers: [4, 58, 23]
Generated Node #2: [4, 58, 23] from Operation: 57-34=23
Current State: 34:[4, 58, 23], Operations: ['57-34=23']
Exploring Operation: 4*23=92, Resulting Numbers: [58, 92]
Generated Node #3: [58, 92] from Operation: 4*23=92
Current State: 34:[58, 92], Operations: ['57-34=23', '4*23=92']
Exploring Operation: 92-58=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[4, 34, 57, 58], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [34, 57, 54]
Generated Node #0,0: 34:[34, 57, 54] Operation: 58-4=54
Exploring Operation: 57-34=23, Resulting Numbers: [4, 58, 23]
Generated Node #0,1: 34:[4, 58, 23] Operation: 57-34=23
Exploring Operation: 58-57=1, Resulting Numbers: [4, 34, 1]
Generated Node #0,2: 34:[4, 34, 1] Operation: 58-57=1
Exploring Operation: 57-4=53, Resulting Numbers: [34, 58, 53]
Generated Node #0,3: 34:[34, 58, 53] Operation: 57-4=53
Exploring Operation: 58-34=24, Resulting Numbers: [4, 57, 24]
Generated Node #0,4: 34:[4, 57, 24] Operation: 58-34=24
Moving to Node #0,2
Current State: 34:[4, 34, 1], Operations: ['58-57=1']
Exploring Operation: 34*1=34, Resulting Numbers: [4, 34]
Generated Node #0,2,0: 34:[4, 34] Operation: 34*1=34
Exploring Operation: 4/1=4, Resulting Numbers: [34, 4]
Generated Node #0,2,1: 34:[34, 4] Operation: 4/1=4
Exploring Operation: 34/1=34, Resulting Numbers: [4, 34]
Generated Node #0,2,2: 34:[4, 34] Operation: 34/1=34
Exploring Operation: 4-1=3, Resulting Numbers: [34, 3]
Generated Node #0,2,3: 34:[34, 3] Operation: 4-1=3
Exploring Operation: 4*1=4, Resulting Numbers: [34, 4]
Generated Node #0,2,4: 34:[34, 4] Operation: 4*1=4
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 34:[34, 3], Operations: ['58-57=1', '4-1=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,34 unequal: No Solution
No 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: 34:[4, 34], Operations: ['58-57=1', '34*1=34']
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,34 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,34 unequal: No Solution
No 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: 34:[34, 4], Operations: ['58-57=1', '4/1=4']
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,34 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,34 unequal: No Solution
No 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: 34:[4, 34], Operations: ['58-57=1', '34/1=34']
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,34 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,34 unequal: No Solution
No 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: 34:[34, 4], Operations: ['58-57=1', '4*1=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,34 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: 34:[4, 57, 24], Operations: ['58-34=24']
Exploring Operation: 57-4=53, Resulting Numbers: [24, 53]
Generated Node #0,4,0: 34:[24, 53] Operation: 57-4=53
Exploring Operation: 57-24=33, Resulting Numbers: [4, 33]
Generated Node #0,4,1: 34:[4, 33] Operation: 57-24=33
Exploring Operation: 24/4=6, Resulting Numbers: [57, 6]
Generated Node #0,4,2: 34:[57, 6] Operation: 24/4=6
Exploring Operation: 24-4=20, Resulting Numbers: [57, 20]
Generated Node #0,4,3: 34:[57, 20] Operation: 24-4=20
Exploring Operation: 4+24=28, Resulting Numbers: [57, 28]
Generated Node #0,4,4: 34:[57, 28] Operation: 4+24=28
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 34:[4, 33], Operations: ['58-34=24', '57-24=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,34 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,34 unequal: No Solution
No 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: 34:[24, 53], Operations: ['58-34=24', '57-4=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,34 unequal: No Solution
No 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: 34:[57, 20], Operations: ['58-34=24', '24-4=20']
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,34 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,34 unequal: No Solution
No 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: 34:[57, 6], Operations: ['58-34=24', '24/4=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,34 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,34 unequal: No Solution
No 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: 34:[57, 28], Operations: ['58-34=24', '4+24=28']
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,34 unequal: No Solution
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 57*28=1596, Resulting Numbers: [1596]
1596,34 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: 34:[4, 58, 23], Operations: ['57-34=23']
Exploring Operation: 58-23=35, Resulting Numbers: [4, 35]
Generated Node #0,1,0: 34:[4, 35] Operation: 58-23=35
Exploring Operation: 4+58=62, Resulting Numbers: [23, 62]
Generated Node #0,1,1: 34:[23, 62] Operation: 4+58=62
Exploring Operation: 23-4=19, Resulting Numbers: [58, 19]
Generated Node #0,1,2: 34:[58, 19] Operation: 23-4=19
Exploring Operation: 58-4=54, Resulting Numbers: [23, 54]
Generated Node #0,1,3: 34:[23, 54] Operation: 58-4=54
Exploring Operation: 4+23=27, Resulting Numbers: [58, 27]
Generated Node #0,1,4: 34:[58, 27] Operation: 4+23=27
Moving to Node #0,0
Current State: 34:[34, 57, 54], Operations: ['58-4=54']
Exploring Operation: 57-34=23, Resulting Numbers: [54, 23]
Generated Node #0,0,0: 34:[54, 23] Operation: 57-34=23
Exploring Operation: 34+57=91, Resulting Numbers: [54, 91]
Generated Node #0,0,1: 34:[54, 91] Operation: 34+57=91
Exploring Operation: 57-54=3, Resulting Numbers: [34, 3]
Generated Node #0,0,2: 34:[34, 3] Operation: 57-54=3
Exploring Operation: 54-34=20, Resulting Numbers: [57, 20]
Generated Node #0,0,3: 34:[57, 20] Operation: 54-34=20
Exploring Operation: 34+54=88, Resulting Numbers: [57, 88]
Generated Node #0,0,4: 34:[57, 88] Operation: 34+54=88
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 34:[34, 3], Operations: ['58-4=54', '57-54=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No 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: 34:[54, 23], Operations: ['58-4=54', '57-34=23']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 54*23=1242, Resulting Numbers: [1242]
1242,34 unequal: No Solution
No 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: 34:[57, 20], Operations: ['58-4=54', '54-34=20']
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,34 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No 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: 34:[54, 91], Operations: ['58-4=54', '34+57=91']
Exploring Operation: 54+91=145, Resulting Numbers: [145]
145,34 unequal: No Solution
Exploring Operation: 54*91=4914, Resulting Numbers: [4914]
4914,34 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No 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: 34:[57, 88], Operations: ['58-4=54', '34+54=88']
Exploring Operation: 57*88=5016, Resulting Numbers: [5016]
5016,34 unequal: No Solution
Exploring Operation: 88-57=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 57+88=145, Resulting Numbers: [145]
145,34 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: 34:[34, 58, 53], Operations: ['57-4=53']
Exploring Operation: 34+53=87, Resulting Numbers: [58, 87]
Generated Node #0,3,0: 34:[58, 87] Operation: 34+53=87
Exploring Operation: 58-34=24, Resulting Numbers: [53, 24]
Generated Node #0,3,1: 34:[53, 24] Operation: 58-34=24
Exploring Operation: 34+58=92, Resulting Numbers: [53, 92]
Generated Node #0,3,2: 34:[53, 92] Operation: 34+58=92
Exploring Operation: 53-34=19, Resulting Numbers: [58, 19]
Generated Node #0,3,3: 34:[58, 19] Operation: 53-34=19
Exploring Operation: 58-53=5, Resulting Numbers: [34, 5]
Generated Node #0,3,4: 34:[34, 5] Operation: 58-53=5
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 34:[34, 5], Operations: ['57-4=53', '58-53=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,34 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,34 unequal: No Solution
No 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: 34:[53, 24], Operations: ['57-4=53', '58-34=24']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 53*24=1272, Resulting Numbers: [1272]
1272,34 unequal: No Solution
Exploring Operation: 53+24=77, Resulting Numbers: [77]
77,34 unequal: No Solution
No 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: 34:[58, 19], Operations: ['57-4=53', '53-34=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,34 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,34 unequal: No Solution
No 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: 34:[58, 87], Operations: ['57-4=53', '34+53=87']
Exploring Operation: 87-58=29, Resulting Numbers: [29]
29,34 unequal: No Solution
Exploring Operation: 58+87=145, Resulting Numbers: [145]
145,34 unequal: No Solution
Exploring Operation: 58*87=5046, Resulting Numbers: [5046]
5046,34 unequal: No Solution
No 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: 34:[53, 92], Operations: ['57-4=53', '34+58=92']
Exploring Operation: 92-53=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 53+92=145, Resulting Numbers: [145]
145,34 unequal: No Solution
Exploring Operation: 53*92=4876, Resulting Numbers: [4876]
4876,34 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: 34:[4, 35], Operations: ['57-34=23', '58-23=35']
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,34 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Moving to Node #0,1,3
Current State: 34:[23, 54], Operations: ['57-34=23', '58-4=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 23*54=1242, Resulting Numbers: [1242]
1242,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[58, 19], Operations: ['57-34=23', '23-4=19']
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,34 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,34 unequal: No Solution
Moving to Node #0,1,4
Current State: 34:[58, 27], Operations: ['57-34=23', '4+23=27']
Exploring Operation: 58*27=1566, Resulting Numbers: [1566]
1566,34 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 58+27=85, Resulting Numbers: [85]
85,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[23, 62], Operations: ['57-34=23', '4+58=62']
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 23*62=1426, Resulting Numbers: [1426]
1426,34 unequal: No Solution
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,34 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
49,
75,
34,
97
] | 61 | [
"49+75=124",
"97-34=63",
"124-63=61"
] | Current State: 61:[49, 75, 34, 97], Operations: []
Exploring Operation: 49+75=124, Resulting Numbers: [34, 97, 124]
Generated Node #2: [34, 97, 124] from Operation: 49+75=124
Current State: 61:[34, 97, 124], Operations: ['49+75=124']
Exploring Operation: 97-34=63, Resulting Numbers: [124, 63]
Generated Node #3: [124, 63] from Operation: 97-34=63
Current State: 61:[124, 63], Operations: ['49+75=124', '97-34=63']
Exploring Operation: 124-63=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[49, 75, 34, 97], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [75, 34, 48]
Generated Node #0,0: 61:[75, 34, 48] Operation: 97-49=48
Exploring Operation: 97-34=63, Resulting Numbers: [49, 75, 63]
Generated Node #0,1: 61:[49, 75, 63] Operation: 97-34=63
Exploring Operation: 97-75=22, Resulting Numbers: [49, 34, 22]
Generated Node #0,2: 61:[49, 34, 22] Operation: 97-75=22
Exploring Operation: 75-34=41, Resulting Numbers: [49, 97, 41]
Generated Node #0,3: 61:[49, 97, 41] Operation: 75-34=41
Exploring Operation: 49+34=83, Resulting Numbers: [75, 97, 83]
Generated Node #0,4: 61:[75, 97, 83] Operation: 49+34=83
Moving to Node #0,1
Current State: 61:[49, 75, 63], Operations: ['97-34=63']
Exploring Operation: 49+63=112, Resulting Numbers: [75, 112]
Generated Node #0,1,0: 61:[75, 112] Operation: 49+63=112
Exploring Operation: 75-49=26, Resulting Numbers: [63, 26]
Generated Node #0,1,1: 61:[63, 26] Operation: 75-49=26
Exploring Operation: 63-49=14, Resulting Numbers: [75, 14]
Generated Node #0,1,2: 61:[75, 14] Operation: 63-49=14
Exploring Operation: 75-63=12, Resulting Numbers: [49, 12]
Generated Node #0,1,3: 61:[49, 12] Operation: 75-63=12
Exploring Operation: 49+75=124, Resulting Numbers: [63, 124]
Generated Node #0,1,4: 61:[63, 124] Operation: 49+75=124
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[63, 26], Operations: ['97-34=63', '75-49=26']
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,61 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,61 unequal: No Solution
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[75, 14], Operations: ['97-34=63', '63-49=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,61 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[49, 75, 34, 97], Operations: []
Exploring Operation: 97-34=63, Resulting Numbers: [49, 75, 63]
Generated Node #0,1: 61:[49, 75, 63] Operation: 97-34=63
Moving to Node #0,1
Current State: 61:[49, 75, 63], Operations: ['97-34=63']
Exploring Operation: 63-49=14, Resulting Numbers: [75, 14]
Generated Node #0,1,2: 61:[75, 14] Operation: 63-49=14
Moving to Node #0,1,2
Current State: 61:[75, 14], Operations: ['97-34=63', '63-49=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
71,
60,
60,
90
] | 69 | [
"90-60=30",
"60/30=2",
"71-2=69"
] | Current State: 69:[71, 60, 60, 90], Operations: []
Exploring Operation: 90-60=30, Resulting Numbers: [71, 30]
Generated Node #2: [71, 30] from Operation: 90-60=30
Current State: 69:[71, 30], Operations: ['90-60=30']
Exploring Operation: 60/30=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 60/30=2
Current State: 69:[71, 2], Operations: ['90-60=30', '60/30=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[71, 60, 60, 90], Operations: []
Exploring Operation: 90-60=30, Resulting Numbers: [71, 60, 30]
Generated Node #0,0: 69:[71, 60, 30] Operation: 90-60=30
Exploring Operation: 60/60=1, Resulting Numbers: [71, 90, 1]
Generated Node #0,1: 69:[71, 90, 1] Operation: 60/60=1
Exploring Operation: 60-60=0, Resulting Numbers: [71, 90, 0]
Generated Node #0,2: 69:[71, 90, 0] Operation: 60-60=0
Exploring Operation: 90-71=19, Resulting Numbers: [60, 60, 19]
Generated Node #0,3: 69:[60, 60, 19] Operation: 90-71=19
Exploring Operation: 90-60=30, Resulting Numbers: [71, 60, 30]
Generated Node #0,4: 69:[71, 60, 30] Operation: 90-60=30
Moving to Node #0,0
Current State: 69:[71, 60, 30], Operations: ['90-60=30']
Exploring Operation: 60/30=2, Resulting Numbers: [71, 2]
Generated Node #0,0,0: 69:[71, 2] Operation: 60/30=2
Exploring Operation: 71-30=41, Resulting Numbers: [60, 41]
Generated Node #0,0,1: 69:[60, 41] Operation: 71-30=41
Exploring Operation: 60-30=30, Resulting Numbers: [71, 30]
Generated Node #0,0,2: 69:[71, 30] Operation: 60-30=30
Exploring Operation: 71-60=11, Resulting Numbers: [30, 11]
Generated Node #0,0,3: 69:[30, 11] Operation: 71-60=11
Exploring Operation: 60+30=90, Resulting Numbers: [71, 90]
Generated Node #0,0,4: 69:[71, 90] Operation: 60+30=90
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[71, 2], Operations: ['90-60=30', '60/30=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,69 unequal: No Solution
Exploring Operation: 71*2=142, Resulting Numbers: [142]
142,69 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[71, 60, 60, 90], Operations: []
Exploring Operation: 90-60=30, Resulting Numbers: [71, 60, 30]
Generated Node #0,0: 69:[71, 60, 30] Operation: 90-60=30
Moving to Node #0,0
Current State: 69:[71, 60, 30], Operations: ['90-60=30']
Exploring Operation: 60/30=2, Resulting Numbers: [71, 2]
Generated Node #0,0,0: 69:[71, 2] Operation: 60/30=2
Moving to Node #0,0,0
Current State: 69:[71, 2], Operations: ['90-60=30', '60/30=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
20,
73,
55,
83
] | 85 | [
"73-20=53",
"55+83=138",
"138-53=85"
] | Current State: 85:[20, 73, 55, 83], Operations: []
Exploring Operation: 73-20=53, Resulting Numbers: [55, 83, 53]
Generated Node #2: [55, 83, 53] from Operation: 73-20=53
Current State: 85:[55, 83, 53], Operations: ['73-20=53']
Exploring Operation: 55+83=138, Resulting Numbers: [53, 138]
Generated Node #3: [53, 138] from Operation: 55+83=138
Current State: 85:[53, 138], Operations: ['73-20=53', '55+83=138']
Exploring Operation: 138-53=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[20, 73, 55, 83], Operations: []
Exploring Operation: 20+55=75, Resulting Numbers: [73, 83, 75]
Generated Node #0,0: 85:[73, 83, 75] Operation: 20+55=75
Exploring Operation: 73-55=18, Resulting Numbers: [20, 83, 18]
Generated Node #0,1: 85:[20, 83, 18] Operation: 73-55=18
Exploring Operation: 83-55=28, Resulting Numbers: [20, 73, 28]
Generated Node #0,2: 85:[20, 73, 28] Operation: 83-55=28
Exploring Operation: 55-20=35, Resulting Numbers: [73, 83, 35]
Generated Node #0,3: 85:[73, 83, 35] Operation: 55-20=35
Exploring Operation: 83-73=10, Resulting Numbers: [20, 55, 10]
Generated Node #0,4: 85:[20, 55, 10] Operation: 83-73=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[20, 83, 18], Operations: ['73-55=18']
Exploring Operation: 20+83=103, Resulting Numbers: [18, 103]
Generated Node #0,1,0: 85:[18, 103] Operation: 20+83=103
Exploring Operation: 83-20=63, Resulting Numbers: [18, 63]
Generated Node #0,1,1: 85:[18, 63] Operation: 83-20=63
Exploring Operation: 20-18=2, Resulting Numbers: [83, 2]
Generated Node #0,1,2: 85:[83, 2] Operation: 20-18=2
Exploring Operation: 20+18=38, Resulting Numbers: [83, 38]
Generated Node #0,1,3: 85:[83, 38] Operation: 20+18=38
Exploring Operation: 83+18=101, Resulting Numbers: [20, 101]
Generated Node #0,1,4: 85:[20, 101] Operation: 83+18=101
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[83, 2], Operations: ['73-55=18', '20-18=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,85 unequal: No Solution
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,85 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[20, 73, 55, 83], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [20, 83, 18]
Generated Node #0,1: 85:[20, 83, 18] Operation: 73-55=18
Moving to Node #0,1
Current State: 85:[20, 83, 18], Operations: ['73-55=18']
Exploring Operation: 20-18=2, Resulting Numbers: [83, 2]
Generated Node #0,1,2: 85:[83, 2] Operation: 20-18=2
Moving to Node #0,1,2
Current State: 85:[83, 2], Operations: ['73-55=18', '20-18=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
93,
58,
27,
42
] | 82 | [
"93+58=151",
"27+42=69",
"151-69=82"
] | Current State: 82:[93, 58, 27, 42], Operations: []
Exploring Operation: 93+58=151, Resulting Numbers: [27, 42, 151]
Generated Node #2: [27, 42, 151] from Operation: 93+58=151
Current State: 82:[27, 42, 151], Operations: ['93+58=151']
Exploring Operation: 27+42=69, Resulting Numbers: [151, 69]
Generated Node #3: [151, 69] from Operation: 27+42=69
Current State: 82:[151, 69], Operations: ['93+58=151', '27+42=69']
Exploring Operation: 151-69=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[93, 58, 27, 42], Operations: []
Exploring Operation: 58+27=85, Resulting Numbers: [93, 42, 85]
Generated Node #0,0: 82:[93, 42, 85] Operation: 58+27=85
Exploring Operation: 93-58=35, Resulting Numbers: [27, 42, 35]
Generated Node #0,1: 82:[27, 42, 35] Operation: 93-58=35
Exploring Operation: 58-27=31, Resulting Numbers: [93, 42, 31]
Generated Node #0,2: 82:[93, 42, 31] Operation: 58-27=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[93, 42, 85], Operations: ['58+27=85']
Exploring Operation: 93-85=8, Resulting Numbers: [42, 8]
Generated Node #0,0,0: 82:[42, 8] Operation: 93-85=8
Exploring Operation: 93-42=51, Resulting Numbers: [85, 51]
Generated Node #0,0,1: 82:[85, 51] Operation: 93-42=51
Exploring Operation: 85-42=43, Resulting Numbers: [93, 43]
Generated Node #0,0,2: 82:[93, 43] Operation: 85-42=43
Moving to Node #0,0,0
Current State: 82:[42, 8], Operations: ['58+27=85', '93-85=8']
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,82 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[85, 51], Operations: ['58+27=85', '93-42=51']
Exploring Operation: 85*51=4335, Resulting Numbers: [4335]
4335,82 unequal: No Solution
Exploring Operation: 85+51=136, Resulting Numbers: [136]
136,82 unequal: No Solution
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[93, 43], Operations: ['58+27=85', '85-42=43']
Exploring Operation: 93-43=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 93*43=3999, Resulting Numbers: [3999]
3999,82 unequal: No Solution
Exploring Operation: 93+43=136, Resulting Numbers: [136]
136,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[27, 42, 35], Operations: ['93-58=35']
Exploring Operation: 27+42=69, Resulting Numbers: [35, 69]
Generated Node #0,1,0: 82:[35, 69] Operation: 27+42=69
Exploring Operation: 42-27=15, Resulting Numbers: [35, 15]
Generated Node #0,1,1: 82:[35, 15] Operation: 42-27=15
Exploring Operation: 35-27=8, Resulting Numbers: [42, 8]
Generated Node #0,1,2: 82:[42, 8] Operation: 35-27=8
Moving to Node #0,1,2
Current State: 82:[42, 8], Operations: ['93-58=35', '35-27=8']
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,82 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[35, 69], Operations: ['93-58=35', '27+42=69']
Exploring Operation: 35+69=104, Resulting Numbers: [104]
104,82 unequal: No Solution
Exploring Operation: 35*69=2415, Resulting Numbers: [2415]
2415,82 unequal: No Solution
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[35, 15], Operations: ['93-58=35', '42-27=15']
Exploring Operation: 35+15=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 35*15=525, Resulting Numbers: [525]
525,82 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[93, 42, 31], Operations: ['58-27=31']
Exploring Operation: 93-42=51, Resulting Numbers: [31, 51]
Generated Node #0,2,0: 82:[31, 51] Operation: 93-42=51
Exploring Operation: 42+31=73, Resulting Numbers: [93, 73]
Generated Node #0,2,1: 82:[93, 73] Operation: 42+31=73
Exploring Operation: 93/31=3, Resulting Numbers: [42, 3]
Generated Node #0,2,2: 82:[42, 3] Operation: 93/31=3
Moving to Node #0,2,2
Current State: 82:[42, 3], Operations: ['58-27=31', '93/31=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,82 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[31, 51], Operations: ['58-27=31', '93-42=51']
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[93, 58, 27, 42], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [93, 42, 31]
Generated Node #0,2: 82:[93, 42, 31] Operation: 58-27=31
Moving to Node #0,2
Current State: 82:[93, 42, 31], Operations: ['58-27=31']
Exploring Operation: 93-42=51, Resulting Numbers: [31, 51]
Generated Node #0,2,0: 82:[31, 51] Operation: 93-42=51
Moving to Node #0,2,0
Current State: 82:[31, 51], Operations: ['58-27=31', '93-42=51']
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_3 | mult_heuristic |
[
8,
15,
15,
16
] | 24 | [
"8+15=23",
"16-15=1",
"23+1=24"
] | Current State: 24:[8, 15, 15, 16], Operations: []
Exploring Operation: 8+15=23, Resulting Numbers: [16, 23]
Generated Node #2: [16, 23] from Operation: 8+15=23
Current State: 24:[16, 23], Operations: ['8+15=23']
Exploring Operation: 16-15=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 16-15=1
Current State: 24:[23, 1], Operations: ['8+15=23', '16-15=1']
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[8, 15, 15, 16], Operations: []
Exploring Operation: 16-15=1, Resulting Numbers: [8, 15, 1]
Generated Node #0,0: 24:[8, 15, 1] Operation: 16-15=1
Exploring Operation: 16-15=1, Resulting Numbers: [8, 15, 1]
Generated Node #0,1: 24:[8, 15, 1] Operation: 16-15=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[8, 15, 1], Operations: ['16-15=1']
Exploring Operation: 15-8=7, Resulting Numbers: [1, 7]
Generated Node #0,0,0: 24:[1, 7] Operation: 15-8=7
Exploring Operation: 8+15=23, Resulting Numbers: [1, 23]
Generated Node #0,0,1: 24:[1, 23] Operation: 8+15=23
Moving to Node #0,0,0
Current State: 24:[1, 7], Operations: ['16-15=1', '15-8=7']
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[1, 23], Operations: ['16-15=1', '8+15=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[8, 15, 15, 16], Operations: []
Exploring Operation: 16-15=1, Resulting Numbers: [8, 15, 1]
Generated Node #0,0: 24:[8, 15, 1] Operation: 16-15=1
Moving to Node #0,0
Current State: 24:[8, 15, 1], Operations: ['16-15=1']
Exploring Operation: 8+15=23, Resulting Numbers: [1, 23]
Generated Node #0,0,1: 24:[1, 23] Operation: 8+15=23
Moving to Node #0,0,1
Current State: 24:[1, 23], Operations: ['16-15=1', '8+15=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
11,
54,
52,
63
] | 37 | [
"11+63=74",
"54-52=2",
"74/2=37"
] | Current State: 37:[11, 54, 52, 63], Operations: []
Exploring Operation: 11+63=74, Resulting Numbers: [54, 52, 74]
Generated Node #2: [54, 52, 74] from Operation: 11+63=74
Current State: 37:[54, 52, 74], Operations: ['11+63=74']
Exploring Operation: 54-52=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 54-52=2
Current State: 37:[74, 2], Operations: ['11+63=74', '54-52=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[11, 54, 52, 63], Operations: []
Exploring Operation: 63-11=52, Resulting Numbers: [54, 52, 52]
Generated Node #0,0: 37:[54, 52, 52] Operation: 63-11=52
Exploring Operation: 54-11=43, Resulting Numbers: [52, 63, 43]
Generated Node #0,1: 37:[52, 63, 43] Operation: 54-11=43
Exploring Operation: 52-11=41, Resulting Numbers: [54, 63, 41]
Generated Node #0,2: 37:[54, 63, 41] Operation: 52-11=41
Moving to Node #0,0
Current State: 37:[54, 52, 52], Operations: ['63-11=52']
Exploring Operation: 54-52=2, Resulting Numbers: [52, 2]
Generated Node #0,0,0: 37:[52, 2] Operation: 54-52=2
Exploring Operation: 54-52=2, Resulting Numbers: [52, 2]
Generated Node #0,0,1: 37:[52, 2] Operation: 54-52=2
Exploring Operation: 52/52=1, Resulting Numbers: [54, 1]
Generated Node #0,0,2: 37:[54, 1] Operation: 52/52=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[52, 2], Operations: ['63-11=52', '54-52=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[52, 2], Operations: ['63-11=52', '54-52=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[54, 1], Operations: ['63-11=52', '52/52=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,37 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 37:[52, 63, 43], Operations: ['54-11=43']
Exploring Operation: 63-52=11, Resulting Numbers: [43, 11]
Generated Node #0,1,0: 37:[43, 11] Operation: 63-52=11
Exploring Operation: 63-43=20, Resulting Numbers: [52, 20]
Generated Node #0,1,1: 37:[52, 20] Operation: 63-43=20
Exploring Operation: 52-43=9, Resulting Numbers: [63, 9]
Generated Node #0,1,2: 37:[63, 9] Operation: 52-43=9
Moving to Node #0,2
Current State: 37:[54, 63, 41], Operations: ['52-11=41']
Exploring Operation: 63-41=22, Resulting Numbers: [54, 22]
Generated Node #0,2,0: 37:[54, 22] Operation: 63-41=22
Exploring Operation: 54-41=13, Resulting Numbers: [63, 13]
Generated Node #0,2,1: 37:[63, 13] Operation: 54-41=13
Exploring Operation: 63-54=9, Resulting Numbers: [41, 9]
Generated Node #0,2,2: 37:[41, 9] Operation: 63-54=9
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[54, 22], Operations: ['52-11=41', '63-41=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,37 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[41, 9], Operations: ['52-11=41', '63-54=9']
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,37 unequal: No Solution
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,37 unequal: No Solution
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[63, 13], Operations: ['52-11=41', '54-41=13']
Exploring Operation: 63*13=819, Resulting Numbers: [819]
819,37 unequal: No Solution
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,37 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: 37:[43, 11], Operations: ['54-11=43', '63-52=11']
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,37 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[52, 20], Operations: ['54-11=43', '63-43=20']
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,37 unequal: No Solution
Exploring Operation: 52*20=1040, Resulting Numbers: [1040]
1040,37 unequal: No Solution
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[63, 9], Operations: ['54-11=43', '52-43=9']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,37 unequal: No Solution
Exploring Operation: 63+9=72, Resulting Numbers: [72]
72,37 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
64,
34,
91,
59
] | 62 | [
"64-34=30",
"91-59=32",
"30+32=62"
] | Current State: 62:[64, 34, 91, 59], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [91, 59, 30]
Generated Node #2: [91, 59, 30] from Operation: 64-34=30
Current State: 62:[91, 59, 30], Operations: ['64-34=30']
Exploring Operation: 91-59=32, Resulting Numbers: [30, 32]
Generated Node #3: [30, 32] from Operation: 91-59=32
Current State: 62:[30, 32], Operations: ['64-34=30', '91-59=32']
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[64, 34, 91, 59], Operations: []
Exploring Operation: 91-59=32, Resulting Numbers: [64, 34, 32]
Generated Node #0,0: 62:[64, 34, 32] Operation: 91-59=32
Exploring Operation: 91-64=27, Resulting Numbers: [34, 59, 27]
Generated Node #0,1: 62:[34, 59, 27] Operation: 91-64=27
Moving to Node #0,0
Current State: 62:[64, 34, 32], Operations: ['91-59=32']
Exploring Operation: 34-32=2, Resulting Numbers: [64, 2]
Generated Node #0,0,0: 62:[64, 2] Operation: 34-32=2
Exploring Operation: 64-34=30, Resulting Numbers: [32, 30]
Generated Node #0,0,1: 62:[32, 30] Operation: 64-34=30
Moving to Node #0,1
Current State: 62:[34, 59, 27], Operations: ['91-64=27']
Exploring Operation: 59-27=32, Resulting Numbers: [34, 32]
Generated Node #0,1,0: 62:[34, 32] Operation: 59-27=32
Exploring Operation: 34+27=61, Resulting Numbers: [59, 61]
Generated Node #0,1,1: 62:[59, 61] Operation: 34+27=61
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[34, 32], Operations: ['91-64=27', '59-27=32']
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[59, 61], Operations: ['91-64=27', '34+27=61']
Exploring Operation: 61-59=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 59+61=120, Resulting Numbers: [120]
120,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 62:[64, 2], Operations: ['91-59=32', '34-32=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[64, 34, 91, 59], Operations: []
Exploring Operation: 91-59=32, Resulting Numbers: [64, 34, 32]
Generated Node #0,0: 62:[64, 34, 32] Operation: 91-59=32
Moving to Node #0,0
Current State: 62:[64, 34, 32], Operations: ['91-59=32']
Exploring Operation: 34-32=2, Resulting Numbers: [64, 2]
Generated Node #0,0,0: 62:[64, 2] Operation: 34-32=2
Moving to Node #0,0,0
Current State: 62:[64, 2], Operations: ['91-59=32', '34-32=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
3,
49,
26,
50
] | 100 | [
"3+49=52",
"52/26=2",
"50*2=100"
] | Current State: 100:[3, 49, 26, 50], Operations: []
Exploring Operation: 3+49=52, Resulting Numbers: [26, 50, 52]
Generated Node #2: [26, 50, 52] from Operation: 3+49=52
Current State: 100:[26, 50, 52], Operations: ['3+49=52']
Exploring Operation: 52/26=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 52/26=2
Current State: 100:[50, 2], Operations: ['3+49=52', '52/26=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[3, 49, 26, 50], Operations: []
Exploring Operation: 3+49=52, Resulting Numbers: [26, 50, 52]
Generated Node #0,0: 100:[26, 50, 52] Operation: 3+49=52
Exploring Operation: 49-26=23, Resulting Numbers: [3, 50, 23]
Generated Node #0,1: 100:[3, 50, 23] Operation: 49-26=23
Exploring Operation: 49+50=99, Resulting Numbers: [3, 26, 99]
Generated Node #0,2: 100:[3, 26, 99] Operation: 49+50=99
Exploring Operation: 26-3=23, Resulting Numbers: [49, 50, 23]
Generated Node #0,3: 100:[49, 50, 23] Operation: 26-3=23
Exploring Operation: 50-49=1, Resulting Numbers: [3, 26, 1]
Generated Node #0,4: 100:[3, 26, 1] Operation: 50-49=1
Moving to Node #0,0
Current State: 100:[26, 50, 52], Operations: ['3+49=52']
Exploring Operation: 52-50=2, Resulting Numbers: [26, 2]
Generated Node #0,0,0: 100:[26, 2] Operation: 52-50=2
Exploring Operation: 52/26=2, Resulting Numbers: [50, 2]
Generated Node #0,0,1: 100:[50, 2] Operation: 52/26=2
Exploring Operation: 50-26=24, Resulting Numbers: [52, 24]
Generated Node #0,0,2: 100:[52, 24] Operation: 50-26=24
Exploring Operation: 50+52=102, Resulting Numbers: [26, 102]
Generated Node #0,0,3: 100:[26, 102] Operation: 50+52=102
Exploring Operation: 52-26=26, Resulting Numbers: [50, 26]
Generated Node #0,0,4: 100:[50, 26] Operation: 52-26=26
Moving to Node #0,2
Current State: 100:[3, 26, 99], Operations: ['49+50=99']
Exploring Operation: 26-3=23, Resulting Numbers: [99, 23]
Generated Node #0,2,0: 100:[99, 23] Operation: 26-3=23
Exploring Operation: 99/3=33, Resulting Numbers: [26, 33]
Generated Node #0,2,1: 100:[26, 33] Operation: 99/3=33
Exploring Operation: 3+26=29, Resulting Numbers: [99, 29]
Generated Node #0,2,2: 100:[99, 29] Operation: 3+26=29
Exploring Operation: 99-3=96, Resulting Numbers: [26, 96]
Generated Node #0,2,3: 100:[26, 96] Operation: 99-3=96
Exploring Operation: 3+99=102, Resulting Numbers: [26, 102]
Generated Node #0,2,4: 100:[26, 102] Operation: 3+99=102
Moving to Node #0,4
Current State: 100:[3, 26, 1], Operations: ['50-49=1']
Exploring Operation: 3+1=4, Resulting Numbers: [26, 4]
Generated Node #0,4,0: 100:[26, 4] Operation: 3+1=4
Exploring Operation: 3/1=3, Resulting Numbers: [26, 3]
Generated Node #0,4,1: 100:[26, 3] Operation: 3/1=3
Exploring Operation: 3*1=3, Resulting Numbers: [26, 3]
Generated Node #0,4,2: 100:[26, 3] Operation: 3*1=3
Exploring Operation: 26-1=25, Resulting Numbers: [3, 25]
Generated Node #0,4,3: 100:[3, 25] Operation: 26-1=25
Exploring Operation: 3-1=2, Resulting Numbers: [26, 2]
Generated Node #0,4,4: 100:[26, 2] Operation: 3-1=2
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 100:[26, 4], Operations: ['50-49=1', '3+1=4']
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,100 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,100 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 #0,4,3
Current State: 100:[3, 25], Operations: ['50-49=1', '26-1=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,100 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,100 unequal: No Solution
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,100 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 #0,4,4
Current State: 100:[26, 2], Operations: ['50-49=1', '3-1=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,100 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 #0,4,1
Current State: 100:[26, 3], Operations: ['50-49=1', '3/1=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,100 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 #0,4,2
Current State: 100:[26, 3], Operations: ['50-49=1', '3*1=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,100 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,100 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: 100:[3, 50, 23], Operations: ['49-26=23']
Exploring Operation: 23-3=20, Resulting Numbers: [50, 20]
Generated Node #0,1,0: 100:[50, 20] Operation: 23-3=20
Exploring Operation: 50-3=47, Resulting Numbers: [23, 47]
Generated Node #0,1,1: 100:[23, 47] Operation: 50-3=47
Exploring Operation: 3+23=26, Resulting Numbers: [50, 26]
Generated Node #0,1,2: 100:[50, 26] Operation: 3+23=26
Exploring Operation: 50-23=27, Resulting Numbers: [3, 27]
Generated Node #0,1,3: 100:[3, 27] Operation: 50-23=27
Exploring Operation: 3+50=53, Resulting Numbers: [23, 53]
Generated Node #0,1,4: 100:[23, 53] Operation: 3+50=53
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[50, 20], Operations: ['49-26=23', '23-3=20']
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,100 unequal: No Solution
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,100 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 #0,1,2
Current State: 100:[50, 26], Operations: ['49-26=23', '3+23=26']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Exploring Operation: 50*26=1300, Resulting Numbers: [1300]
1300,100 unequal: No Solution
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,100 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 #0,1,3
Current State: 100:[3, 27], Operations: ['49-26=23', '50-23=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,100 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,100 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 #0,1,1
Current State: 100:[23, 47], Operations: ['49-26=23', '50-3=47']
Exploring Operation: 23*47=1081, Resulting Numbers: [1081]
1081,100 unequal: No Solution
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,100 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 #0,1,4
Current State: 100:[23, 53], Operations: ['49-26=23', '3+50=53']
Exploring Operation: 23*53=1219, Resulting Numbers: [1219]
1219,100 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 23+53=76, Resulting Numbers: [76]
76,100 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: 100:[49, 50, 23], Operations: ['26-3=23']
Exploring Operation: 49-23=26, Resulting Numbers: [50, 26]
Generated Node #0,3,0: 100:[50, 26] Operation: 49-23=26
Exploring Operation: 49+50=99, Resulting Numbers: [23, 99]
Generated Node #0,3,1: 100:[23, 99] Operation: 49+50=99
Exploring Operation: 50-23=27, Resulting Numbers: [49, 27]
Generated Node #0,3,2: 100:[49, 27] Operation: 50-23=27
Exploring Operation: 50-49=1, Resulting Numbers: [23, 1]
Generated Node #0,3,3: 100:[23, 1] Operation: 50-49=1
Exploring Operation: 49+23=72, Resulting Numbers: [50, 72]
Generated Node #0,3,4: 100:[50, 72] Operation: 49+23=72
Moving to Node #0,0,1
Current State: 100:[50, 2], Operations: ['3+49=52', '52/26=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[3, 49, 26, 50], Operations: []
Exploring Operation: 3+49=52, Resulting Numbers: [26, 50, 52]
Generated Node #0,0: 100:[26, 50, 52] Operation: 3+49=52
Moving to Node #0,0
Current State: 100:[26, 50, 52], Operations: ['3+49=52']
Exploring Operation: 52/26=2, Resulting Numbers: [50, 2]
Generated Node #0,0,1: 100:[50, 2] Operation: 52/26=2
Moving to Node #0,0,1
Current State: 100:[50, 2], Operations: ['3+49=52', '52/26=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.940972 | hs_5 | mult_heuristic |
[
22,
68,
24,
1
] | 65 | [
"22+68=90",
"24+1=25",
"90-25=65"
] | Current State: 65:[22, 68, 24, 1], Operations: []
Exploring Operation: 22+68=90, Resulting Numbers: [24, 1, 90]
Generated Node #2: [24, 1, 90] from Operation: 22+68=90
Current State: 65:[24, 1, 90], Operations: ['22+68=90']
Exploring Operation: 24+1=25, Resulting Numbers: [90, 25]
Generated Node #3: [90, 25] from Operation: 24+1=25
Current State: 65:[90, 25], Operations: ['22+68=90', '24+1=25']
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[22, 68, 24, 1], Operations: []
Exploring Operation: 22-1=21, Resulting Numbers: [68, 24, 21]
Generated Node #0,0: 65:[68, 24, 21] Operation: 22-1=21
Exploring Operation: 24-22=2, Resulting Numbers: [68, 1, 2]
Generated Node #0,1: 65:[68, 1, 2] Operation: 24-22=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[68, 1, 2], Operations: ['24-22=2']
Exploring Operation: 68-1=67, Resulting Numbers: [2, 67]
Generated Node #0,1,0: 65:[2, 67] Operation: 68-1=67
Exploring Operation: 68-2=66, Resulting Numbers: [1, 66]
Generated Node #0,1,1: 65:[1, 66] Operation: 68-2=66
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[2, 67], Operations: ['24-22=2', '68-1=67']
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,65 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[22, 68, 24, 1], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [68, 1, 2]
Generated Node #0,1: 65:[68, 1, 2] Operation: 24-22=2
Moving to Node #0,1
Current State: 65:[68, 1, 2], Operations: ['24-22=2']
Exploring Operation: 68-1=67, Resulting Numbers: [2, 67]
Generated Node #0,1,0: 65:[2, 67] Operation: 68-1=67
Moving to Node #0,1,0
Current State: 65:[2, 67], Operations: ['24-22=2', '68-1=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
34,
1,
55,
70
] | 53 | [
"34+1=35",
"70/35=2",
"55-2=53"
] | Current State: 53:[34, 1, 55, 70], Operations: []
Exploring Operation: 34+1=35, Resulting Numbers: [55, 70, 35]
Generated Node #2: [55, 70, 35] from Operation: 34+1=35
Current State: 53:[55, 70, 35], Operations: ['34+1=35']
Exploring Operation: 70/35=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 70/35=2
Current State: 53:[55, 2], Operations: ['34+1=35', '70/35=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[34, 1, 55, 70], Operations: []
Exploring Operation: 34+1=35, Resulting Numbers: [55, 70, 35]
Generated Node #0,0: 53:[55, 70, 35] Operation: 34+1=35
Exploring Operation: 70-1=69, Resulting Numbers: [34, 55, 69]
Generated Node #0,1: 53:[34, 55, 69] Operation: 70-1=69
Exploring Operation: 55-1=54, Resulting Numbers: [34, 70, 54]
Generated Node #0,2: 53:[34, 70, 54] Operation: 55-1=54
Moving to Node #0,0
Current State: 53:[55, 70, 35], Operations: ['34+1=35']
Exploring Operation: 70-35=35, Resulting Numbers: [55, 35]
Generated Node #0,0,0: 53:[55, 35] Operation: 70-35=35
Exploring Operation: 55-35=20, Resulting Numbers: [70, 20]
Generated Node #0,0,1: 53:[70, 20] Operation: 55-35=20
Exploring Operation: 70/35=2, Resulting Numbers: [55, 2]
Generated Node #0,0,2: 53:[55, 2] Operation: 70/35=2
Moving to Node #0,1
Current State: 53:[34, 55, 69], Operations: ['70-1=69']
Exploring Operation: 69-34=35, Resulting Numbers: [55, 35]
Generated Node #0,1,0: 53:[55, 35] Operation: 69-34=35
Exploring Operation: 34+55=89, Resulting Numbers: [69, 89]
Generated Node #0,1,1: 53:[69, 89] Operation: 34+55=89
Exploring Operation: 55-34=21, Resulting Numbers: [69, 21]
Generated Node #0,1,2: 53:[69, 21] Operation: 55-34=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[55, 35], Operations: ['70-1=69', '69-34=35']
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,53 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,53 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 #0,1,2
Current State: 53:[69, 21], Operations: ['70-1=69', '55-34=21']
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,53 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,53 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 #0,1,1
Current State: 53:[69, 89], Operations: ['70-1=69', '34+55=89']
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 69+89=158, Resulting Numbers: [158]
158,53 unequal: No Solution
Exploring Operation: 69*89=6141, Resulting Numbers: [6141]
6141,53 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: 53:[34, 70, 54], Operations: ['55-1=54']
Exploring Operation: 54-34=20, Resulting Numbers: [70, 20]
Generated Node #0,2,0: 53:[70, 20] Operation: 54-34=20
Exploring Operation: 34+70=104, Resulting Numbers: [54, 104]
Generated Node #0,2,1: 53:[54, 104] Operation: 34+70=104
Exploring Operation: 70-34=36, Resulting Numbers: [54, 36]
Generated Node #0,2,2: 53:[54, 36] Operation: 70-34=36
Moving to Node #0,2,2
Current State: 53:[54, 36], Operations: ['55-1=54', '70-34=36']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,53 unequal: No Solution
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 54*36=1944, Resulting Numbers: [1944]
1944,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[55, 35], Operations: ['34+1=35', '70-35=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,53 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[70, 20], Operations: ['55-1=54', '54-34=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,53 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[70, 20], Operations: ['34+1=35', '55-35=20']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,53 unequal: No Solution
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,53 unequal: No Solution
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[54, 104], Operations: ['55-1=54', '34+70=104']
Exploring Operation: 54+104=158, Resulting Numbers: [158]
158,53 unequal: No Solution
Exploring Operation: 104-54=50, Resulting Numbers: [50]
50,53 unequal: No Solution
Exploring Operation: 54*104=5616, Resulting Numbers: [5616]
5616,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[55, 2], Operations: ['34+1=35', '70/35=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[34, 1, 55, 70], Operations: []
Exploring Operation: 34+1=35, Resulting Numbers: [55, 70, 35]
Generated Node #0,0: 53:[55, 70, 35] Operation: 34+1=35
Moving to Node #0,0
Current State: 53:[55, 70, 35], Operations: ['34+1=35']
Exploring Operation: 70/35=2, Resulting Numbers: [55, 2]
Generated Node #0,0,2: 53:[55, 2] Operation: 70/35=2
Moving to Node #0,0,2
Current State: 53:[55, 2], Operations: ['34+1=35', '70/35=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 0.96441 | hs_3 | sum_heuristic |
[
58,
61,
30,
12
] | 15 | [
"61-58=3",
"30-12=18",
"18-3=15"
] | Current State: 15:[58, 61, 30, 12], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [30, 12, 3]
Generated Node #2: [30, 12, 3] from Operation: 61-58=3
Current State: 15:[30, 12, 3], Operations: ['61-58=3']
Exploring Operation: 30-12=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 30-12=18
Current State: 15:[3, 18], Operations: ['61-58=3', '30-12=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[58, 61, 30, 12], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [30, 12, 3]
Generated Node #0,0: 15:[30, 12, 3] Operation: 61-58=3
Moving to Node #0,0
Current State: 15:[30, 12, 3], Operations: ['61-58=3']
Exploring Operation: 30-12=18, Resulting Numbers: [3, 18]
Generated Node #0,0,0: 15:[3, 18] Operation: 30-12=18
Moving to Node #0,0,0
Current State: 15:[3, 18], Operations: ['61-58=3', '30-12=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[58, 61, 30, 12], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [30, 12, 3]
Generated Node #0,0: 15:[30, 12, 3] Operation: 61-58=3
Moving to Node #0,0
Current State: 15:[30, 12, 3], Operations: ['61-58=3']
Exploring Operation: 30-12=18, Resulting Numbers: [3, 18]
Generated Node #0,0,0: 15:[3, 18] Operation: 30-12=18
Moving to Node #0,0,0
Current State: 15:[3, 18], Operations: ['61-58=3', '30-12=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
39,
71,
28,
22
] | 33 | [
"39+71=110",
"110/22=5",
"28+5=33"
] | Current State: 33:[39, 71, 28, 22], Operations: []
Exploring Operation: 39+71=110, Resulting Numbers: [28, 22, 110]
Generated Node #2: [28, 22, 110] from Operation: 39+71=110
Current State: 33:[28, 22, 110], Operations: ['39+71=110']
Exploring Operation: 110/22=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 110/22=5
Current State: 33:[28, 5], Operations: ['39+71=110', '110/22=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[39, 71, 28, 22], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [39, 28, 49]
Generated Node #0,0: 33:[39, 28, 49] Operation: 71-22=49
Exploring Operation: 28-22=6, Resulting Numbers: [39, 71, 6]
Generated Node #0,1: 33:[39, 71, 6] Operation: 28-22=6
Exploring Operation: 71-39=32, Resulting Numbers: [28, 22, 32]
Generated Node #0,2: 33:[28, 22, 32] Operation: 71-39=32
Exploring Operation: 71-28=43, Resulting Numbers: [39, 22, 43]
Generated Node #0,3: 33:[39, 22, 43] Operation: 71-28=43
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[28, 22, 32], Operations: ['71-39=32']
Exploring Operation: 28-22=6, Resulting Numbers: [32, 6]
Generated Node #0,2,0: 33:[32, 6] Operation: 28-22=6
Exploring Operation: 28+22=50, Resulting Numbers: [32, 50]
Generated Node #0,2,1: 33:[32, 50] Operation: 28+22=50
Exploring Operation: 32-28=4, Resulting Numbers: [22, 4]
Generated Node #0,2,2: 33:[22, 4] Operation: 32-28=4
Exploring Operation: 32-22=10, Resulting Numbers: [28, 10]
Generated Node #0,2,3: 33:[28, 10] Operation: 32-22=10
Moving to Node #0,2,0
Current State: 33:[32, 6], Operations: ['71-39=32', '28-22=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,33 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[28, 10], Operations: ['71-39=32', '32-22=10']
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,33 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[22, 4], Operations: ['71-39=32', '32-28=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,33 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[32, 50], Operations: ['71-39=32', '28+22=50']
Exploring Operation: 32*50=1600, Resulting Numbers: [1600]
1600,33 unequal: No Solution
Exploring Operation: 32+50=82, Resulting Numbers: [82]
82,33 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[39, 28, 49], Operations: ['71-22=49']
Exploring Operation: 49-28=21, Resulting Numbers: [39, 21]
Generated Node #0,0,0: 33:[39, 21] Operation: 49-28=21
Exploring Operation: 49-39=10, Resulting Numbers: [28, 10]
Generated Node #0,0,1: 33:[28, 10] Operation: 49-39=10
Exploring Operation: 39-28=11, Resulting Numbers: [49, 11]
Generated Node #0,0,2: 33:[49, 11] Operation: 39-28=11
Exploring Operation: 39+28=67, Resulting Numbers: [49, 67]
Generated Node #0,0,3: 33:[49, 67] Operation: 39+28=67
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[28, 10], Operations: ['71-22=49', '49-39=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,33 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,33 unequal: No Solution
No 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: 33:[39, 21], Operations: ['71-22=49', '49-28=21']
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,33 unequal: No Solution
No 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: 33:[49, 11], Operations: ['71-22=49', '39-28=11']
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,33 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,33 unequal: No Solution
No 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: 33:[49, 67], Operations: ['71-22=49', '39+28=67']
Exploring Operation: 67-49=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 49*67=3283, Resulting Numbers: [3283]
3283,33 unequal: No Solution
Exploring Operation: 49+67=116, Resulting Numbers: [116]
116,33 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: 33:[39, 22, 43], Operations: ['71-28=43']
Exploring Operation: 39+22=61, Resulting Numbers: [43, 61]
Generated Node #0,3,0: 33:[43, 61] Operation: 39+22=61
Exploring Operation: 39-22=17, Resulting Numbers: [43, 17]
Generated Node #0,3,1: 33:[43, 17] Operation: 39-22=17
Exploring Operation: 43-22=21, Resulting Numbers: [39, 21]
Generated Node #0,3,2: 33:[39, 21] Operation: 43-22=21
Exploring Operation: 43-39=4, Resulting Numbers: [22, 4]
Generated Node #0,3,3: 33:[22, 4] Operation: 43-39=4
Moving to Node #0,3,3
Current State: 33:[22, 4], Operations: ['71-28=43', '43-39=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,33 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[39, 21], Operations: ['71-28=43', '43-22=21']
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[43, 17], Operations: ['71-28=43', '39-22=17']
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,33 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[43, 61], Operations: ['71-28=43', '39+22=61']
Exploring Operation: 43*61=2623, Resulting Numbers: [2623]
2623,33 unequal: No Solution
Exploring Operation: 43+61=104, Resulting Numbers: [104]
104,33 unequal: No Solution
Exploring Operation: 61-43=18, Resulting Numbers: [18]
18,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[39, 71, 6], Operations: ['28-22=6']
Exploring Operation: 71-6=65, Resulting Numbers: [39, 65]
Generated Node #0,1,0: 33:[39, 65] Operation: 71-6=65
Exploring Operation: 39+6=45, Resulting Numbers: [71, 45]
Generated Node #0,1,1: 33:[71, 45] Operation: 39+6=45
Exploring Operation: 71-39=32, Resulting Numbers: [6, 32]
Generated Node #0,1,2: 33:[6, 32] Operation: 71-39=32
Exploring Operation: 39-6=33, Resulting Numbers: [71, 33]
Generated Node #0,1,3: 33:[71, 33] Operation: 39-6=33
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[6, 32], Operations: ['28-22=6', '71-39=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,33 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,33 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,33 unequal: No Solution
No 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: 33:[39, 65], Operations: ['28-22=6', '71-6=65']
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,33 unequal: No Solution
Exploring Operation: 39*65=2535, Resulting Numbers: [2535]
2535,33 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,33 unequal: No Solution
No 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: 33:[71, 33], Operations: ['28-22=6', '39-6=33']
Exploring Operation: 71*33=2343, Resulting Numbers: [2343]
2343,33 unequal: No Solution
Exploring Operation: 71+33=104, Resulting Numbers: [104]
104,33 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,33 unequal: No Solution
No 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: 33:[71, 45], Operations: ['28-22=6', '39+6=45']
Exploring Operation: 71*45=3195, Resulting Numbers: [3195]
3195,33 unequal: No Solution
Exploring Operation: 71+45=116, Resulting Numbers: [116]
116,33 unequal: No Solution
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,33 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 |
[
3,
64,
65,
27
] | 50 | [
"65-27=38",
"3*38=114",
"114-64=50"
] | Current State: 50:[3, 64, 65, 27], Operations: []
Exploring Operation: 65-27=38, Resulting Numbers: [3, 64, 38]
Generated Node #2: [3, 64, 38] from Operation: 65-27=38
Current State: 50:[3, 64, 38], Operations: ['65-27=38']
Exploring Operation: 3*38=114, Resulting Numbers: [64, 114]
Generated Node #3: [64, 114] from Operation: 3*38=114
Current State: 50:[64, 114], Operations: ['65-27=38', '3*38=114']
Exploring Operation: 114-64=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[3, 64, 65, 27], Operations: []
Exploring Operation: 65-27=38, Resulting Numbers: [3, 64, 38]
Generated Node #0,0: 50:[3, 64, 38] Operation: 65-27=38
Exploring Operation: 65-64=1, Resulting Numbers: [3, 27, 1]
Generated Node #0,1: 50:[3, 27, 1] Operation: 65-64=1
Exploring Operation: 64-3=61, Resulting Numbers: [65, 27, 61]
Generated Node #0,2: 50:[65, 27, 61] Operation: 64-3=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[3, 27, 1], Operations: ['65-64=1']
Exploring Operation: 3-1=2, Resulting Numbers: [27, 2]
Generated Node #0,1,0: 50:[27, 2] Operation: 3-1=2
Exploring Operation: 27-3=24, Resulting Numbers: [1, 24]
Generated Node #0,1,1: 50:[1, 24] Operation: 27-3=24
Exploring Operation: 27/3=9, Resulting Numbers: [1, 9]
Generated Node #0,1,2: 50:[1, 9] Operation: 27/3=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[27, 2], Operations: ['65-64=1', '3-1=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,50 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,50 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[1, 24], Operations: ['65-64=1', '27-3=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 50:[1, 9], Operations: ['65-64=1', '27/3=9']
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[3, 64, 38], Operations: ['65-27=38']
Exploring Operation: 3+38=41, Resulting Numbers: [64, 41]
Generated Node #0,0,0: 50:[64, 41] Operation: 3+38=41
Exploring Operation: 64-3=61, Resulting Numbers: [38, 61]
Generated Node #0,0,1: 50:[38, 61] Operation: 64-3=61
Exploring Operation: 64-38=26, Resulting Numbers: [3, 26]
Generated Node #0,0,2: 50:[3, 26] Operation: 64-38=26
Moving to Node #0,0,2
Current State: 50:[3, 26], Operations: ['65-27=38', '64-38=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,50 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[64, 41], Operations: ['65-27=38', '3+38=41']
Exploring Operation: 64*41=2624, Resulting Numbers: [2624]
2624,50 unequal: No Solution
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 64+41=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[38, 61], Operations: ['65-27=38', '64-3=61']
Exploring Operation: 38+61=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 38*61=2318, Resulting Numbers: [2318]
2318,50 unequal: No Solution
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[65, 27, 61], Operations: ['64-3=61']
Exploring Operation: 65-61=4, Resulting Numbers: [27, 4]
Generated Node #0,2,0: 50:[27, 4] Operation: 65-61=4
Exploring Operation: 61-27=34, Resulting Numbers: [65, 34]
Generated Node #0,2,1: 50:[65, 34] Operation: 61-27=34
Exploring Operation: 65-27=38, Resulting Numbers: [61, 38]
Generated Node #0,2,2: 50:[61, 38] Operation: 65-27=38
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 50:[27, 4], Operations: ['64-3=61', '65-61=4']
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,50 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,50 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 50:[61, 38], Operations: ['64-3=61', '65-27=38']
Exploring Operation: 61+38=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 61*38=2318, Resulting Numbers: [2318]
2318,50 unequal: No Solution
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 50:[65, 34], Operations: ['64-3=61', '61-27=34']
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 65*34=2210, Resulting Numbers: [2210]
2210,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
71,
80,
39,
3
] | 10 | [
"80-71=9",
"39-9=30",
"30/3=10"
] | Current State: 10:[71, 80, 39, 3], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [39, 3, 9]
Generated Node #2: [39, 3, 9] from Operation: 80-71=9
Current State: 10:[39, 3, 9], Operations: ['80-71=9']
Exploring Operation: 39-9=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 39-9=30
Current State: 10:[3, 30], Operations: ['80-71=9', '39-9=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[71, 80, 39, 3], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [80, 3, 32]
Generated Node #0,0: 10:[80, 3, 32] Operation: 71-39=32
Exploring Operation: 80-39=41, Resulting Numbers: [71, 3, 41]
Generated Node #0,1: 10:[71, 3, 41] Operation: 80-39=41
Exploring Operation: 80-71=9, Resulting Numbers: [39, 3, 9]
Generated Node #0,2: 10:[39, 3, 9] Operation: 80-71=9
Moving to Node #0,2
Current State: 10:[39, 3, 9], Operations: ['80-71=9']
Exploring Operation: 39/3=13, Resulting Numbers: [9, 13]
Generated Node #0,2,0: 10:[9, 13] Operation: 39/3=13
Exploring Operation: 39-9=30, Resulting Numbers: [3, 30]
Generated Node #0,2,1: 10:[3, 30] Operation: 39-9=30
Exploring Operation: 39-3=36, Resulting Numbers: [9, 36]
Generated Node #0,2,2: 10:[9, 36] Operation: 39-3=36
Moving to Node #0,0
Current State: 10:[80, 3, 32], Operations: ['71-39=32']
Exploring Operation: 32-3=29, Resulting Numbers: [80, 29]
Generated Node #0,0,0: 10:[80, 29] Operation: 32-3=29
Exploring Operation: 80-32=48, Resulting Numbers: [3, 48]
Generated Node #0,0,1: 10:[3, 48] Operation: 80-32=48
Exploring Operation: 80-3=77, Resulting Numbers: [32, 77]
Generated Node #0,0,2: 10:[32, 77] Operation: 80-3=77
Moving to Node #0,1
Current State: 10:[71, 3, 41], Operations: ['80-39=41']
Exploring Operation: 71-3=68, Resulting Numbers: [41, 68]
Generated Node #0,1,0: 10:[41, 68] Operation: 71-3=68
Exploring Operation: 41-3=38, Resulting Numbers: [71, 38]
Generated Node #0,1,1: 10:[71, 38] Operation: 41-3=38
Exploring Operation: 71-41=30, Resulting Numbers: [3, 30]
Generated Node #0,1,2: 10:[3, 30] Operation: 71-41=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 10:[3, 30], Operations: ['80-39=41', '71-41=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[71, 80, 39, 3], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [71, 3, 41]
Generated Node #0,1: 10:[71, 3, 41] Operation: 80-39=41
Moving to Node #0,1
Current State: 10:[71, 3, 41], Operations: ['80-39=41']
Exploring Operation: 71-41=30, Resulting Numbers: [3, 30]
Generated Node #0,1,2: 10:[3, 30] Operation: 71-41=30
Moving to Node #0,1,2
Current State: 10:[3, 30], Operations: ['80-39=41', '71-41=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
10,
54,
24,
56
] | 53 | [
"54-24=30",
"30/10=3",
"56-3=53"
] | Current State: 53:[10, 54, 24, 56], Operations: []
Exploring Operation: 54-24=30, Resulting Numbers: [10, 56, 30]
Generated Node #2: [10, 56, 30] from Operation: 54-24=30
Current State: 53:[10, 56, 30], Operations: ['54-24=30']
Exploring Operation: 30/10=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 30/10=3
Current State: 53:[56, 3], Operations: ['54-24=30', '30/10=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[10, 54, 24, 56], Operations: []
Exploring Operation: 10+24=34, Resulting Numbers: [54, 56, 34]
Generated Node #0,0: 53:[54, 56, 34] Operation: 10+24=34
Exploring Operation: 54-10=44, Resulting Numbers: [24, 56, 44]
Generated Node #0,1: 53:[24, 56, 44] Operation: 54-10=44
Exploring Operation: 56-10=46, Resulting Numbers: [54, 24, 46]
Generated Node #0,2: 53:[54, 24, 46] Operation: 56-10=46
Moving to Node #0,0
Current State: 53:[54, 56, 34], Operations: ['10+24=34']
Exploring Operation: 56-34=22, Resulting Numbers: [54, 22]
Generated Node #0,0,0: 53:[54, 22] Operation: 56-34=22
Exploring Operation: 54+34=88, Resulting Numbers: [56, 88]
Generated Node #0,0,1: 53:[56, 88] Operation: 54+34=88
Exploring Operation: 54-34=20, Resulting Numbers: [56, 20]
Generated Node #0,0,2: 53:[56, 20] Operation: 54-34=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[54, 22], Operations: ['10+24=34', '56-34=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,53 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 #0,0,2
Current State: 53:[56, 20], Operations: ['10+24=34', '54-34=20']
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,53 unequal: No Solution
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,53 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 #0,0,1
Current State: 53:[56, 88], Operations: ['10+24=34', '54+34=88']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Exploring Operation: 56+88=144, Resulting Numbers: [144]
144,53 unequal: No Solution
Exploring Operation: 56*88=4928, Resulting Numbers: [4928]
4928,53 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: 53:[54, 24, 46], Operations: ['56-10=46']
Exploring Operation: 54+24=78, Resulting Numbers: [46, 78]
Generated Node #0,2,0: 53:[46, 78] Operation: 54+24=78
Exploring Operation: 24+46=70, Resulting Numbers: [54, 70]
Generated Node #0,2,1: 53:[54, 70] Operation: 24+46=70
Exploring Operation: 54-24=30, Resulting Numbers: [46, 30]
Generated Node #0,2,2: 53:[46, 30] Operation: 54-24=30
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[54, 70], Operations: ['56-10=46', '24+46=70']
Exploring Operation: 54*70=3780, Resulting Numbers: [3780]
3780,53 unequal: No Solution
Exploring Operation: 54+70=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,53 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 #0,2,2
Current State: 53:[46, 30], Operations: ['56-10=46', '54-24=30']
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,53 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,53 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 #0,2,0
Current State: 53:[46, 78], Operations: ['56-10=46', '54+24=78']
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Exploring Operation: 46+78=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 46*78=3588, Resulting Numbers: [3588]
3588,53 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: 53:[24, 56, 44], Operations: ['54-10=44']
Exploring Operation: 56-24=32, Resulting Numbers: [44, 32]
Generated Node #0,1,0: 53:[44, 32] Operation: 56-24=32
Exploring Operation: 24+44=68, Resulting Numbers: [56, 68]
Generated Node #0,1,1: 53:[56, 68] Operation: 24+44=68
Exploring Operation: 24+56=80, Resulting Numbers: [44, 80]
Generated Node #0,1,2: 53:[44, 80] Operation: 24+56=80
Moving to Node #0,1,1
Current State: 53:[56, 68], Operations: ['54-10=44', '24+44=68']
Exploring Operation: 56+68=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 56*68=3808, Resulting Numbers: [3808]
3808,53 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[44, 32], Operations: ['54-10=44', '56-24=32']
Exploring Operation: 44*32=1408, Resulting Numbers: [1408]
1408,53 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Exploring Operation: 44+32=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[44, 80], Operations: ['54-10=44', '24+56=80']
Exploring Operation: 44+80=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 44*80=3520, Resulting Numbers: [3520]
3520,53 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
64,
92,
36,
96
] | 55 | [
"96-92=4",
"36/4=9",
"64-9=55"
] | Current State: 55:[64, 92, 36, 96], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [64, 36, 4]
Generated Node #2: [64, 36, 4] from Operation: 96-92=4
Current State: 55:[64, 36, 4], Operations: ['96-92=4']
Exploring Operation: 36/4=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 36/4=9
Current State: 55:[64, 9], Operations: ['96-92=4', '36/4=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[64, 92, 36, 96], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [64, 36, 4]
Generated Node #0,0: 55:[64, 36, 4] Operation: 96-92=4
Exploring Operation: 92-36=56, Resulting Numbers: [64, 96, 56]
Generated Node #0,1: 55:[64, 96, 56] Operation: 92-36=56
Moving to Node #0,0
Current State: 55:[64, 36, 4], Operations: ['96-92=4']
Exploring Operation: 36/4=9, Resulting Numbers: [64, 9]
Generated Node #0,0,0: 55:[64, 9] Operation: 36/4=9
Exploring Operation: 64-36=28, Resulting Numbers: [4, 28]
Generated Node #0,0,1: 55:[4, 28] Operation: 64-36=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[64, 9], Operations: ['96-92=4', '36/4=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[64, 92, 36, 96], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [64, 36, 4]
Generated Node #0,0: 55:[64, 36, 4] Operation: 96-92=4
Moving to Node #0,0
Current State: 55:[64, 36, 4], Operations: ['96-92=4']
Exploring Operation: 36/4=9, Resulting Numbers: [64, 9]
Generated Node #0,0,0: 55:[64, 9] Operation: 36/4=9
Moving to Node #0,0,0
Current State: 55:[64, 9], Operations: ['96-92=4', '36/4=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
27,
52,
82,
50
] | 53 | [
"27+52=79",
"82+50=132",
"132-79=53"
] | Current State: 53:[27, 52, 82, 50], Operations: []
Exploring Operation: 27+52=79, Resulting Numbers: [82, 50, 79]
Generated Node #2: [82, 50, 79] from Operation: 27+52=79
Current State: 53:[82, 50, 79], Operations: ['27+52=79']
Exploring Operation: 82+50=132, Resulting Numbers: [79, 132]
Generated Node #3: [79, 132] from Operation: 82+50=132
Current State: 53:[79, 132], Operations: ['27+52=79', '82+50=132']
Exploring Operation: 132-79=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[27, 52, 82, 50], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [27, 50, 30]
Generated Node #0,0: 53:[27, 50, 30] Operation: 82-52=30
Exploring Operation: 82-27=55, Resulting Numbers: [52, 50, 55]
Generated Node #0,1: 53:[52, 50, 55] Operation: 82-27=55
Exploring Operation: 27+50=77, Resulting Numbers: [52, 82, 77]
Generated Node #0,2: 53:[52, 82, 77] Operation: 27+50=77
Exploring Operation: 82-50=32, Resulting Numbers: [27, 52, 32]
Generated Node #0,3: 53:[27, 52, 32] Operation: 82-50=32
Moving to Node #0,1
Current State: 53:[52, 50, 55], Operations: ['82-27=55']
Exploring Operation: 55-52=3, Resulting Numbers: [50, 3]
Generated Node #0,1,0: 53:[50, 3] Operation: 55-52=3
Exploring Operation: 52-50=2, Resulting Numbers: [55, 2]
Generated Node #0,1,1: 53:[55, 2] Operation: 52-50=2
Exploring Operation: 52+50=102, Resulting Numbers: [55, 102]
Generated Node #0,1,2: 53:[55, 102] Operation: 52+50=102
Exploring Operation: 55-50=5, Resulting Numbers: [52, 5]
Generated Node #0,1,3: 53:[52, 5] Operation: 55-50=5
Moving to Node #0,3
Current State: 53:[27, 52, 32], Operations: ['82-50=32']
Exploring Operation: 27+32=59, Resulting Numbers: [52, 59]
Generated Node #0,3,0: 53:[52, 59] Operation: 27+32=59
Exploring Operation: 52-27=25, Resulting Numbers: [32, 25]
Generated Node #0,3,1: 53:[32, 25] Operation: 52-27=25
Exploring Operation: 32-27=5, Resulting Numbers: [52, 5]
Generated Node #0,3,2: 53:[52, 5] Operation: 32-27=5
Exploring Operation: 27+52=79, Resulting Numbers: [32, 79]
Generated Node #0,3,3: 53:[32, 79] Operation: 27+52=79
Moving to Node #0,0
Current State: 53:[27, 50, 30], Operations: ['82-52=30']
Exploring Operation: 50-27=23, Resulting Numbers: [30, 23]
Generated Node #0,0,0: 53:[30, 23] Operation: 50-27=23
Exploring Operation: 30-27=3, Resulting Numbers: [50, 3]
Generated Node #0,0,1: 53:[50, 3] Operation: 30-27=3
Exploring Operation: 27+30=57, Resulting Numbers: [50, 57]
Generated Node #0,0,2: 53:[50, 57] Operation: 27+30=57
Exploring Operation: 27+50=77, Resulting Numbers: [30, 77]
Generated Node #0,0,3: 53:[30, 77] Operation: 27+50=77
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[50, 57], Operations: ['82-52=30', '27+30=57']
Exploring Operation: 50*57=2850, Resulting Numbers: [2850]
2850,53 unequal: No Solution
Exploring Operation: 50+57=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,53 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 #0,0,3
Current State: 53:[30, 77], Operations: ['82-52=30', '27+50=77']
Exploring Operation: 30*77=2310, Resulting Numbers: [2310]
2310,53 unequal: No Solution
Exploring Operation: 30+77=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,53 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 #0,0,0
Current State: 53:[30, 23], Operations: ['82-52=30', '50-27=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[27, 52, 82, 50], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [27, 50, 30]
Generated Node #0,0: 53:[27, 50, 30] Operation: 82-52=30
Moving to Node #0,0
Current State: 53:[27, 50, 30], Operations: ['82-52=30']
Exploring Operation: 50-27=23, Resulting Numbers: [30, 23]
Generated Node #0,0,0: 53:[30, 23] Operation: 50-27=23
Moving to Node #0,0,0
Current State: 53:[30, 23], Operations: ['82-52=30', '50-27=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_4 | sum_heuristic |
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