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 |
|---|---|---|---|---|---|---|---|---|
[
85,
79,
78,
76
] | 89 | [
"85-79=6",
"78/6=13",
"76+13=89"
] | Current State: 89:[85, 79, 78, 76], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [78, 76, 6]
Generated Node #2: [78, 76, 6] from Operation: 85-79=6
Current State: 89:[78, 76, 6], Operations: ['85-79=6']
Exploring Operation: 78/6=13, Resulting Numbers: [76, 13]
Generated Node #3: [76, 13] from Operation: 78/6=13
Current State: 89:[76, 13], Operations: ['85-79=6', '78/6=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[85, 79, 78, 76], Operations: []
Exploring Operation: 78+76=154, Resulting Numbers: [85, 79, 154]
Generated Node #0,0: 89:[85, 79, 154] Operation: 78+76=154
Moving to Node #0,0
Current State: 89:[85, 79, 154], Operations: ['78+76=154']
Exploring Operation: 154-79=75, Resulting Numbers: [85, 75]
Generated Node #0,0,0: 89:[85, 75] Operation: 154-79=75
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[85, 75], Operations: ['78+76=154', '154-79=75']
Exploring Operation: 85+75=160, Resulting Numbers: [160]
160,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
85,
91,
27
] | 24 | [
"3+85=88",
"91-27=64",
"88-64=24"
] | Current State: 24:[3, 85, 91, 27], Operations: []
Exploring Operation: 3+85=88, Resulting Numbers: [91, 27, 88]
Generated Node #2: [91, 27, 88] from Operation: 3+85=88
Current State: 24:[91, 27, 88], Operations: ['3+85=88']
Exploring Operation: 91-27=64, Resulting Numbers: [88, 64]
Generated Node #3: [88, 64] from Operation: 91-27=64
Current State: 24:[88, 64], Operations: ['3+85=88', '91-27=64']
Exploring Operation: 88-64=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[3, 85, 91, 27], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [3, 27, 6]
Generated Node #0,0: 24:[3, 27, 6] Operation: 91-85=6
Exploring Operation: 85-27=58, Resulting Numbers: [3, 91, 58]
Generated Node #0,1: 24:[3, 91, 58] Operation: 85-27=58
Exploring Operation: 91-27=64, Resulting Numbers: [3, 85, 64]
Generated Node #0,2: 24:[3, 85, 64] Operation: 91-27=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[3, 27, 6], Operations: ['91-85=6']
Exploring Operation: 27-3=24, Resulting Numbers: [6, 24]
Generated Node #0,0,0: 24:[6, 24] Operation: 27-3=24
Exploring Operation: 27/3=9, Resulting Numbers: [6, 9]
Generated Node #0,0,1: 24:[6, 9] Operation: 27/3=9
Exploring Operation: 6-3=3, Resulting Numbers: [27, 3]
Generated Node #0,0,2: 24:[27, 3] Operation: 6-3=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 24:[6, 24], Operations: ['91-85=6', '27-3=24']
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,24 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,24 unequal: No Solution
No 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: 24:[6, 9], Operations: ['91-85=6', '27/3=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,24 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,24 unequal: No Solution
No 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: 24:[27, 3], Operations: ['91-85=6', '6-3=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[3, 85, 91, 27], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [3, 27, 6]
Generated Node #0,0: 24:[3, 27, 6] Operation: 91-85=6
Moving to Node #0,0
Current State: 24:[3, 27, 6], Operations: ['91-85=6']
Exploring Operation: 6-3=3, Resulting Numbers: [27, 3]
Generated Node #0,0,2: 24:[27, 3] Operation: 6-3=3
Moving to Node #0,0,2
Current State: 24:[27, 3], Operations: ['91-85=6', '6-3=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
76,
5,
19,
73
] | 72 | [
"76/19=4",
"73-5=68",
"4+68=72"
] | Current State: 72:[76, 5, 19, 73], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [5, 73, 4]
Generated Node #2: [5, 73, 4] from Operation: 76/19=4
Current State: 72:[5, 73, 4], Operations: ['76/19=4']
Exploring Operation: 73-5=68, Resulting Numbers: [4, 68]
Generated Node #3: [4, 68] from Operation: 73-5=68
Current State: 72:[4, 68], Operations: ['76/19=4', '73-5=68']
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[76, 5, 19, 73], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [5, 19, 3]
Generated Node #0,0: 72:[5, 19, 3] Operation: 76-73=3
Exploring Operation: 76-5=71, Resulting Numbers: [19, 73, 71]
Generated Node #0,1: 72:[19, 73, 71] Operation: 76-5=71
Exploring Operation: 5+19=24, Resulting Numbers: [76, 73, 24]
Generated Node #0,2: 72:[76, 73, 24] Operation: 5+19=24
Exploring Operation: 19-5=14, Resulting Numbers: [76, 73, 14]
Generated Node #0,3: 72:[76, 73, 14] Operation: 19-5=14
Exploring Operation: 76/19=4, Resulting Numbers: [5, 73, 4]
Generated Node #0,4: 72:[5, 73, 4] Operation: 76/19=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[5, 19, 3], Operations: ['76-73=3']
Exploring Operation: 5-3=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 72:[19, 2] Operation: 5-3=2
Exploring Operation: 19-5=14, Resulting Numbers: [3, 14]
Generated Node #0,0,1: 72:[3, 14] Operation: 19-5=14
Exploring Operation: 19+3=22, Resulting Numbers: [5, 22]
Generated Node #0,0,2: 72:[5, 22] Operation: 19+3=22
Exploring Operation: 5+3=8, Resulting Numbers: [19, 8]
Generated Node #0,0,3: 72:[19, 8] Operation: 5+3=8
Exploring Operation: 5+19=24, Resulting Numbers: [3, 24]
Generated Node #0,0,4: 72:[3, 24] Operation: 5+19=24
Moving to Node #0,0,4
Current State: 72:[3, 24], Operations: ['76-73=3', '5+19=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[76, 5, 19, 73], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [5, 19, 3]
Generated Node #0,0: 72:[5, 19, 3] Operation: 76-73=3
Moving to Node #0,0
Current State: 72:[5, 19, 3], Operations: ['76-73=3']
Exploring Operation: 5+19=24, Resulting Numbers: [3, 24]
Generated Node #0,0,4: 72:[3, 24] Operation: 5+19=24
Moving to Node #0,0,4
Current State: 72:[3, 24], Operations: ['76-73=3', '5+19=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
2,
62,
65,
79
] | 55 | [
"79-65=14",
"14/2=7",
"62-7=55"
] | Current State: 55:[2, 62, 65, 79], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [2, 62, 14]
Generated Node #2: [2, 62, 14] from Operation: 79-65=14
Current State: 55:[2, 62, 14], Operations: ['79-65=14']
Exploring Operation: 14/2=7, Resulting Numbers: [62, 7]
Generated Node #3: [62, 7] from Operation: 14/2=7
Current State: 55:[62, 7], Operations: ['79-65=14', '14/2=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[2, 62, 65, 79], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [2, 62, 14]
Generated Node #0,0: 55:[2, 62, 14] Operation: 79-65=14
Exploring Operation: 65-62=3, Resulting Numbers: [2, 79, 3]
Generated Node #0,1: 55:[2, 79, 3] Operation: 65-62=3
Exploring Operation: 79-62=17, Resulting Numbers: [2, 65, 17]
Generated Node #0,2: 55:[2, 65, 17] Operation: 79-62=17
Moving to Node #0,0
Current State: 55:[2, 62, 14], Operations: ['79-65=14']
Exploring Operation: 14/2=7, Resulting Numbers: [62, 7]
Generated Node #0,0,0: 55:[62, 7] Operation: 14/2=7
Exploring Operation: 14-2=12, Resulting Numbers: [62, 12]
Generated Node #0,0,1: 55:[62, 12] Operation: 14-2=12
Exploring Operation: 62-2=60, Resulting Numbers: [14, 60]
Generated Node #0,0,2: 55:[14, 60] Operation: 62-2=60
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[62, 12], Operations: ['79-65=14', '14-2=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,55 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,55 unequal: No Solution
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[14, 60], Operations: ['79-65=14', '62-2=60']
Exploring Operation: 14*60=840, Resulting Numbers: [840]
840,55 unequal: No Solution
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 14+60=74, Resulting Numbers: [74]
74,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[62, 7], Operations: ['79-65=14', '14/2=7']
Exploring Operation: 62*7=434, Resulting Numbers: [434]
434,55 unequal: No Solution
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,55 unequal: No Solution
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[2, 62, 65, 79], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [2, 62, 14]
Generated Node #0,0: 55:[2, 62, 14] Operation: 79-65=14
Moving to Node #0,0
Current State: 55:[2, 62, 14], Operations: ['79-65=14']
Exploring Operation: 14/2=7, Resulting Numbers: [62, 7]
Generated Node #0,0,0: 55:[62, 7] Operation: 14/2=7
Moving to Node #0,0,0
Current State: 55:[62, 7], Operations: ['79-65=14', '14/2=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
27,
17,
69,
29
] | 26 | [
"29-27=2",
"69-17=52",
"52/2=26"
] | Current State: 26:[27, 17, 69, 29], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [17, 69, 2]
Generated Node #2: [17, 69, 2] from Operation: 29-27=2
Current State: 26:[17, 69, 2], Operations: ['29-27=2']
Exploring Operation: 69-17=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 69-17=52
Current State: 26:[2, 52], Operations: ['29-27=2', '69-17=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[27, 17, 69, 29], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [27, 69, 12]
Generated Node #0,0: 26:[27, 69, 12] Operation: 29-17=12
Exploring Operation: 29-27=2, Resulting Numbers: [17, 69, 2]
Generated Node #0,1: 26:[17, 69, 2] Operation: 29-27=2
Exploring Operation: 69-27=42, Resulting Numbers: [17, 29, 42]
Generated Node #0,2: 26:[17, 29, 42] Operation: 69-27=42
Exploring Operation: 69-17=52, Resulting Numbers: [27, 29, 52]
Generated Node #0,3: 26:[27, 29, 52] Operation: 69-17=52
Exploring Operation: 69-29=40, Resulting Numbers: [27, 17, 40]
Generated Node #0,4: 26:[27, 17, 40] Operation: 69-29=40
Moving to Node #0,4
Current State: 26:[27, 17, 40], Operations: ['69-29=40']
Exploring Operation: 27-17=10, Resulting Numbers: [40, 10]
Generated Node #0,4,0: 26:[40, 10] Operation: 27-17=10
Exploring Operation: 40-27=13, Resulting Numbers: [17, 13]
Generated Node #0,4,1: 26:[17, 13] Operation: 40-27=13
Exploring Operation: 27+17=44, Resulting Numbers: [40, 44]
Generated Node #0,4,2: 26:[40, 44] Operation: 27+17=44
Exploring Operation: 40-17=23, Resulting Numbers: [27, 23]
Generated Node #0,4,3: 26:[27, 23] Operation: 40-17=23
Exploring Operation: 17+40=57, Resulting Numbers: [27, 57]
Generated Node #0,4,4: 26:[27, 57] Operation: 17+40=57
Moving to Node #0,2
Current State: 26:[17, 29, 42], Operations: ['69-27=42']
Exploring Operation: 17+29=46, Resulting Numbers: [42, 46]
Generated Node #0,2,0: 26:[42, 46] Operation: 17+29=46
Exploring Operation: 29-17=12, Resulting Numbers: [42, 12]
Generated Node #0,2,1: 26:[42, 12] Operation: 29-17=12
Exploring Operation: 17+42=59, Resulting Numbers: [29, 59]
Generated Node #0,2,2: 26:[29, 59] Operation: 17+42=59
Exploring Operation: 42-17=25, Resulting Numbers: [29, 25]
Generated Node #0,2,3: 26:[29, 25] Operation: 42-17=25
Exploring Operation: 42-29=13, Resulting Numbers: [17, 13]
Generated Node #0,2,4: 26:[17, 13] Operation: 42-29=13
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[29, 25], Operations: ['69-27=42', '42-17=25']
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,26 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,26 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 #0,2,4
Current State: 26:[17, 13], Operations: ['69-27=42', '42-29=13']
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,26 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 26:[42, 12], Operations: ['69-27=42', '29-17=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 42*12=504, Resulting Numbers: [504]
504,26 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,26 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 #0,2,0
Current State: 26:[42, 46], Operations: ['69-27=42', '17+29=46']
Exploring Operation: 42*46=1932, Resulting Numbers: [1932]
1932,26 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 26:[29, 59], Operations: ['69-27=42', '17+42=59']
Exploring Operation: 29*59=1711, Resulting Numbers: [1711]
1711,26 unequal: No Solution
Exploring Operation: 29+59=88, Resulting Numbers: [88]
88,26 unequal: No Solution
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,26 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: 26:[27, 29, 52], Operations: ['69-17=52']
Exploring Operation: 27+52=79, Resulting Numbers: [29, 79]
Generated Node #0,3,0: 26:[29, 79] Operation: 27+52=79
Exploring Operation: 52-29=23, Resulting Numbers: [27, 23]
Generated Node #0,3,1: 26:[27, 23] Operation: 52-29=23
Exploring Operation: 52-27=25, Resulting Numbers: [29, 25]
Generated Node #0,3,2: 26:[29, 25] Operation: 52-27=25
Exploring Operation: 29-27=2, Resulting Numbers: [52, 2]
Generated Node #0,3,3: 26:[52, 2] Operation: 29-27=2
Exploring Operation: 27+29=56, Resulting Numbers: [52, 56]
Generated Node #0,3,4: 26:[52, 56] Operation: 27+29=56
Moving to Node #0,0
Current State: 26:[27, 69, 12], Operations: ['29-17=12']
Exploring Operation: 69-27=42, Resulting Numbers: [12, 42]
Generated Node #0,0,0: 26:[12, 42] Operation: 69-27=42
Exploring Operation: 69-12=57, Resulting Numbers: [27, 57]
Generated Node #0,0,1: 26:[27, 57] Operation: 69-12=57
Exploring Operation: 27+12=39, Resulting Numbers: [69, 39]
Generated Node #0,0,2: 26:[69, 39] Operation: 27+12=39
Exploring Operation: 27-12=15, Resulting Numbers: [69, 15]
Generated Node #0,0,3: 26:[69, 15] Operation: 27-12=15
Exploring Operation: 69+12=81, Resulting Numbers: [27, 81]
Generated Node #0,0,4: 26:[27, 81] Operation: 69+12=81
Moving to Node #0,1
Current State: 26:[17, 69, 2], Operations: ['29-27=2']
Exploring Operation: 69+2=71, Resulting Numbers: [17, 71]
Generated Node #0,1,0: 26:[17, 71] Operation: 69+2=71
Exploring Operation: 69-2=67, Resulting Numbers: [17, 67]
Generated Node #0,1,1: 26:[17, 67] Operation: 69-2=67
Exploring Operation: 17+2=19, Resulting Numbers: [69, 19]
Generated Node #0,1,2: 26:[69, 19] Operation: 17+2=19
Exploring Operation: 17-2=15, Resulting Numbers: [69, 15]
Generated Node #0,1,3: 26:[69, 15] Operation: 17-2=15
Exploring Operation: 69-17=52, Resulting Numbers: [2, 52]
Generated Node #0,1,4: 26:[2, 52] Operation: 69-17=52
Moving to Node #0,4,1
Current State: 26:[17, 13], Operations: ['69-29=40', '40-27=13']
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,26 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[27, 23], Operations: ['69-17=52', '52-29=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,26 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[29, 25], Operations: ['69-17=52', '52-27=25']
Exploring Operation: 29*25=725, Resulting Numbers: [725]
725,26 unequal: No Solution
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 29-25=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Moving to Node #0,4,3
Current State: 26:[27, 23], Operations: ['69-29=40', '40-17=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,26 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Moving to Node #0,4,0
Current State: 26:[40, 10], Operations: ['69-29=40', '27-17=10']
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,26 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 40*10=400, Resulting Numbers: [400]
400,26 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[12, 42], Operations: ['29-17=12', '69-27=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[52, 2], Operations: ['69-17=52', '29-27=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[27, 17, 69, 29], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [27, 29, 52]
Generated Node #0,3: 26:[27, 29, 52] Operation: 69-17=52
Moving to Node #0,3
Current State: 26:[27, 29, 52], Operations: ['69-17=52']
Exploring Operation: 29-27=2, Resulting Numbers: [52, 2]
Generated Node #0,3,3: 26:[52, 2] Operation: 29-27=2
Moving to Node #0,3,3
Current State: 26:[52, 2], Operations: ['69-17=52', '29-27=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.940104 | hs_5 | sum_heuristic |
[
44,
20,
61,
64
] | 27 | [
"44-20=24",
"64-61=3",
"24+3=27"
] | Current State: 27:[44, 20, 61, 64], Operations: []
Exploring Operation: 44-20=24, Resulting Numbers: [61, 64, 24]
Generated Node #2: [61, 64, 24] from Operation: 44-20=24
Current State: 27:[61, 64, 24], Operations: ['44-20=24']
Exploring Operation: 64-61=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 64-61=3
Current State: 27:[24, 3], Operations: ['44-20=24', '64-61=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[44, 20, 61, 64], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [44, 20, 3]
Generated Node #0,0: 27:[44, 20, 3] Operation: 64-61=3
Exploring Operation: 61-44=17, Resulting Numbers: [20, 64, 17]
Generated Node #0,1: 27:[20, 64, 17] Operation: 61-44=17
Exploring Operation: 64-44=20, Resulting Numbers: [20, 61, 20]
Generated Node #0,2: 27:[20, 61, 20] Operation: 64-44=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[44, 20, 3], Operations: ['64-61=3']
Exploring Operation: 44-3=41, Resulting Numbers: [20, 41]
Generated Node #0,0,0: 27:[20, 41] Operation: 44-3=41
Exploring Operation: 44-20=24, Resulting Numbers: [3, 24]
Generated Node #0,0,1: 27:[3, 24] Operation: 44-20=24
Exploring Operation: 20+3=23, Resulting Numbers: [44, 23]
Generated Node #0,0,2: 27:[44, 23] Operation: 20+3=23
Moving to Node #0,0,1
Current State: 27:[3, 24], Operations: ['64-61=3', '44-20=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[44, 20, 61, 64], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [44, 20, 3]
Generated Node #0,0: 27:[44, 20, 3] Operation: 64-61=3
Moving to Node #0,0
Current State: 27:[44, 20, 3], Operations: ['64-61=3']
Exploring Operation: 44-20=24, Resulting Numbers: [3, 24]
Generated Node #0,0,1: 27:[3, 24] Operation: 44-20=24
Moving to Node #0,0,1
Current State: 27:[3, 24], Operations: ['64-61=3', '44-20=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
75,
71,
93,
73
] | 16 | [
"75-71=4",
"93-73=20",
"20-4=16"
] | Current State: 16:[75, 71, 93, 73], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [93, 73, 4]
Generated Node #2: [93, 73, 4] from Operation: 75-71=4
Current State: 16:[93, 73, 4], Operations: ['75-71=4']
Exploring Operation: 93-73=20, Resulting Numbers: [4, 20]
Generated Node #3: [4, 20] from Operation: 93-73=20
Current State: 16:[4, 20], Operations: ['75-71=4', '93-73=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[75, 71, 93, 73], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [75, 73, 22]
Generated Node #0,0: 16:[75, 73, 22] Operation: 93-71=22
Exploring Operation: 93-73=20, Resulting Numbers: [75, 71, 20]
Generated Node #0,1: 16:[75, 71, 20] Operation: 93-73=20
Exploring Operation: 93-75=18, Resulting Numbers: [71, 73, 18]
Generated Node #0,2: 16:[71, 73, 18] Operation: 93-75=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[71, 73, 18], Operations: ['93-75=18']
Exploring Operation: 73-71=2, Resulting Numbers: [18, 2]
Generated Node #0,2,0: 16:[18, 2] Operation: 73-71=2
Exploring Operation: 73-18=55, Resulting Numbers: [71, 55]
Generated Node #0,2,1: 16:[71, 55] Operation: 73-18=55
Exploring Operation: 71-18=53, Resulting Numbers: [73, 53]
Generated Node #0,2,2: 16:[73, 53] Operation: 71-18=53
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 16:[18, 2], Operations: ['93-75=18', '73-71=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[75, 71, 93, 73], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [71, 73, 18]
Generated Node #0,2: 16:[71, 73, 18] Operation: 93-75=18
Moving to Node #0,2
Current State: 16:[71, 73, 18], Operations: ['93-75=18']
Exploring Operation: 73-71=2, Resulting Numbers: [18, 2]
Generated Node #0,2,0: 16:[18, 2] Operation: 73-71=2
Moving to Node #0,2,0
Current State: 16:[18, 2], Operations: ['93-75=18', '73-71=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
54,
36,
31,
52
] | 13 | [
"54-52=2",
"36/2=18",
"31-18=13"
] | Current State: 13:[54, 36, 31, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [36, 31, 2]
Generated Node #2: [36, 31, 2] from Operation: 54-52=2
Current State: 13:[36, 31, 2], Operations: ['54-52=2']
Exploring Operation: 36/2=18, Resulting Numbers: [31, 18]
Generated Node #3: [31, 18] from Operation: 36/2=18
Current State: 13:[31, 18], Operations: ['54-52=2', '36/2=18']
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[54, 36, 31, 52], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [54, 31, 16]
Generated Node #0,0: 13:[54, 31, 16] Operation: 52-36=16
Exploring Operation: 54-36=18, Resulting Numbers: [31, 52, 18]
Generated Node #0,1: 13:[31, 52, 18] Operation: 54-36=18
Exploring Operation: 54-31=23, Resulting Numbers: [36, 52, 23]
Generated Node #0,2: 13:[36, 52, 23] Operation: 54-31=23
Exploring Operation: 54-52=2, Resulting Numbers: [36, 31, 2]
Generated Node #0,3: 13:[36, 31, 2] Operation: 54-52=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[36, 31, 2], Operations: ['54-52=2']
Exploring Operation: 36/2=18, Resulting Numbers: [31, 18]
Generated Node #0,3,0: 13:[31, 18] Operation: 36/2=18
Exploring Operation: 36-2=34, Resulting Numbers: [31, 34]
Generated Node #0,3,1: 13:[31, 34] Operation: 36-2=34
Exploring Operation: 36-31=5, Resulting Numbers: [2, 5]
Generated Node #0,3,2: 13:[2, 5] Operation: 36-31=5
Exploring Operation: 31-2=29, Resulting Numbers: [36, 29]
Generated Node #0,3,3: 13:[36, 29] Operation: 31-2=29
Moving to Node #0,3,2
Current State: 13:[2, 5], Operations: ['54-52=2', '36-31=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[31, 18], Operations: ['54-52=2', '36/2=18']
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,13 unequal: No Solution
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,13 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[54, 36, 31, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [36, 31, 2]
Generated Node #0,3: 13:[36, 31, 2] Operation: 54-52=2
Moving to Node #0,3
Current State: 13:[36, 31, 2], Operations: ['54-52=2']
Exploring Operation: 36/2=18, Resulting Numbers: [31, 18]
Generated Node #0,3,0: 13:[31, 18] Operation: 36/2=18
Moving to Node #0,3,0
Current State: 13:[31, 18], Operations: ['54-52=2', '36/2=18']
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
68,
80,
73,
62
] | 90 | [
"73-68=5",
"80-62=18",
"5*18=90"
] | Current State: 90:[68, 80, 73, 62], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [80, 62, 5]
Generated Node #2: [80, 62, 5] from Operation: 73-68=5
Current State: 90:[80, 62, 5], Operations: ['73-68=5']
Exploring Operation: 80-62=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 80-62=18
Current State: 90:[5, 18], Operations: ['73-68=5', '80-62=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[68, 80, 73, 62], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [73, 62, 12]
Generated Node #0,0: 90:[73, 62, 12] Operation: 80-68=12
Exploring Operation: 73-62=11, Resulting Numbers: [68, 80, 11]
Generated Node #0,1: 90:[68, 80, 11] Operation: 73-62=11
Exploring Operation: 68-62=6, Resulting Numbers: [80, 73, 6]
Generated Node #0,2: 90:[80, 73, 6] Operation: 68-62=6
Exploring Operation: 73-68=5, Resulting Numbers: [80, 62, 5]
Generated Node #0,3: 90:[80, 62, 5] Operation: 73-68=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[80, 73, 6], Operations: ['68-62=6']
Exploring Operation: 73+6=79, Resulting Numbers: [80, 79]
Generated Node #0,2,0: 90:[80, 79] Operation: 73+6=79
Exploring Operation: 73-6=67, Resulting Numbers: [80, 67]
Generated Node #0,2,1: 90:[80, 67] Operation: 73-6=67
Exploring Operation: 80+6=86, Resulting Numbers: [73, 86]
Generated Node #0,2,2: 90:[73, 86] Operation: 80+6=86
Exploring Operation: 80-73=7, Resulting Numbers: [6, 7]
Generated Node #0,2,3: 90:[6, 7] Operation: 80-73=7
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 90:[6, 7], Operations: ['68-62=6', '80-73=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,90 unequal: No Solution
No 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: 90:[80, 79], Operations: ['68-62=6', '73+6=79']
Exploring Operation: 80*79=6320, Resulting Numbers: [6320]
6320,90 unequal: No Solution
Exploring Operation: 80-79=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 80+79=159, Resulting Numbers: [159]
159,90 unequal: No Solution
No 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: 90:[73, 86], Operations: ['68-62=6', '80+6=86']
Exploring Operation: 73*86=6278, Resulting Numbers: [6278]
6278,90 unequal: No Solution
Exploring Operation: 73+86=159, Resulting Numbers: [159]
159,90 unequal: No Solution
Exploring Operation: 86-73=13, Resulting Numbers: [13]
13,90 unequal: No Solution
No 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: 90:[80, 67], Operations: ['68-62=6', '73-6=67']
Exploring Operation: 80+67=147, Resulting Numbers: [147]
147,90 unequal: No Solution
Exploring Operation: 80*67=5360, Resulting Numbers: [5360]
5360,90 unequal: No Solution
Exploring Operation: 80-67=13, Resulting Numbers: [13]
13,90 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: 90:[80, 62, 5], Operations: ['73-68=5']
Exploring Operation: 80-62=18, Resulting Numbers: [5, 18]
Generated Node #0,3,0: 90:[5, 18] Operation: 80-62=18
Exploring Operation: 80/5=16, Resulting Numbers: [62, 16]
Generated Node #0,3,1: 90:[62, 16] Operation: 80/5=16
Exploring Operation: 80+5=85, Resulting Numbers: [62, 85]
Generated Node #0,3,2: 90:[62, 85] Operation: 80+5=85
Exploring Operation: 62-5=57, Resulting Numbers: [80, 57]
Generated Node #0,3,3: 90:[80, 57] Operation: 62-5=57
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 90:[5, 18], Operations: ['73-68=5', '80-62=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[68, 80, 73, 62], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [80, 62, 5]
Generated Node #0,3: 90:[80, 62, 5] Operation: 73-68=5
Moving to Node #0,3
Current State: 90:[80, 62, 5], Operations: ['73-68=5']
Exploring Operation: 80-62=18, Resulting Numbers: [5, 18]
Generated Node #0,3,0: 90:[5, 18] Operation: 80-62=18
Moving to Node #0,3,0
Current State: 90:[5, 18], Operations: ['73-68=5', '80-62=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
5,
24,
86,
35
] | 31 | [
"35-24=11",
"5*11=55",
"86-55=31"
] | Current State: 31:[5, 24, 86, 35], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [5, 86, 11]
Generated Node #2: [5, 86, 11] from Operation: 35-24=11
Current State: 31:[5, 86, 11], Operations: ['35-24=11']
Exploring Operation: 5*11=55, Resulting Numbers: [86, 55]
Generated Node #3: [86, 55] from Operation: 5*11=55
Current State: 31:[86, 55], Operations: ['35-24=11', '5*11=55']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[5, 24, 86, 35], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [24, 35, 81]
Generated Node #0,0: 31:[24, 35, 81] Operation: 86-5=81
Exploring Operation: 86-35=51, Resulting Numbers: [5, 24, 51]
Generated Node #0,1: 31:[5, 24, 51] Operation: 86-35=51
Exploring Operation: 5+24=29, Resulting Numbers: [86, 35, 29]
Generated Node #0,2: 31:[86, 35, 29] Operation: 5+24=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[5, 24, 51], Operations: ['86-35=51']
Exploring Operation: 51-5=46, Resulting Numbers: [24, 46]
Generated Node #0,1,0: 31:[24, 46] Operation: 51-5=46
Exploring Operation: 51-24=27, Resulting Numbers: [5, 27]
Generated Node #0,1,1: 31:[5, 27] Operation: 51-24=27
Exploring Operation: 5+24=29, Resulting Numbers: [51, 29]
Generated Node #0,1,2: 31:[51, 29] Operation: 5+24=29
Moving to Node #0,1,0
Current State: 31:[24, 46], Operations: ['86-35=51', '51-5=46']
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[51, 29], Operations: ['86-35=51', '5+24=29']
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,31 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[5, 27], Operations: ['86-35=51', '51-24=27']
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,31 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,31 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 #0,0
Current State: 31:[24, 35, 81], Operations: ['86-5=81']
Exploring Operation: 81-35=46, Resulting Numbers: [24, 46]
Generated Node #0,0,0: 31:[24, 46] Operation: 81-35=46
Exploring Operation: 35-24=11, Resulting Numbers: [81, 11]
Generated Node #0,0,1: 31:[81, 11] Operation: 35-24=11
Exploring Operation: 81-24=57, Resulting Numbers: [35, 57]
Generated Node #0,0,2: 31:[35, 57] Operation: 81-24=57
Moving to Node #0,0,0
Current State: 31:[24, 46], Operations: ['86-5=81', '81-35=46']
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,31 unequal: No Solution
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[35, 57], Operations: ['86-5=81', '81-24=57']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 35*57=1995, Resulting Numbers: [1995]
1995,31 unequal: No Solution
Exploring Operation: 35+57=92, Resulting Numbers: [92]
92,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[81, 11], Operations: ['86-5=81', '35-24=11']
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 81+11=92, Resulting Numbers: [92]
92,31 unequal: No Solution
Exploring Operation: 81*11=891, Resulting Numbers: [891]
891,31 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 #0,2
Current State: 31:[86, 35, 29], Operations: ['5+24=29']
Exploring Operation: 86-29=57, Resulting Numbers: [35, 57]
Generated Node #0,2,0: 31:[35, 57] Operation: 86-29=57
Exploring Operation: 86-35=51, Resulting Numbers: [29, 51]
Generated Node #0,2,1: 31:[29, 51] Operation: 86-35=51
Exploring Operation: 35-29=6, Resulting Numbers: [86, 6]
Generated Node #0,2,2: 31:[86, 6] Operation: 35-29=6
Moving to Node #0,2,1
Current State: 31:[29, 51], Operations: ['5+24=29', '86-35=51']
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 29*51=1479, Resulting Numbers: [1479]
1479,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[35, 57], Operations: ['5+24=29', '86-29=57']
Exploring Operation: 35*57=1995, Resulting Numbers: [1995]
1995,31 unequal: No Solution
Exploring Operation: 35+57=92, Resulting Numbers: [92]
92,31 unequal: No Solution
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[86, 6], Operations: ['5+24=29', '35-29=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,31 unequal: No Solution
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 86*6=516, Resulting Numbers: [516]
516,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
18,
25,
39,
80
] | 84 | [
"18+25=43",
"80-39=41",
"43+41=84"
] | Current State: 84:[18, 25, 39, 80], Operations: []
Exploring Operation: 18+25=43, Resulting Numbers: [39, 80, 43]
Generated Node #2: [39, 80, 43] from Operation: 18+25=43
Current State: 84:[39, 80, 43], Operations: ['18+25=43']
Exploring Operation: 80-39=41, Resulting Numbers: [43, 41]
Generated Node #3: [43, 41] from Operation: 80-39=41
Current State: 84:[43, 41], Operations: ['18+25=43', '80-39=41']
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[18, 25, 39, 80], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [25, 80, 21]
Generated Node #0,0: 84:[25, 80, 21] Operation: 39-18=21
Exploring Operation: 25-18=7, Resulting Numbers: [39, 80, 7]
Generated Node #0,1: 84:[39, 80, 7] Operation: 25-18=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[25, 80, 21], Operations: ['39-18=21']
Exploring Operation: 25+21=46, Resulting Numbers: [80, 46]
Generated Node #0,0,0: 84:[80, 46] Operation: 25+21=46
Exploring Operation: 25-21=4, Resulting Numbers: [80, 4]
Generated Node #0,0,1: 84:[80, 4] Operation: 25-21=4
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[80, 4], Operations: ['39-18=21', '25-21=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[18, 25, 39, 80], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [25, 80, 21]
Generated Node #0,0: 84:[25, 80, 21] Operation: 39-18=21
Moving to Node #0,0
Current State: 84:[25, 80, 21], Operations: ['39-18=21']
Exploring Operation: 25-21=4, Resulting Numbers: [80, 4]
Generated Node #0,0,1: 84:[80, 4] Operation: 25-21=4
Moving to Node #0,0,1
Current State: 84:[80, 4], Operations: ['39-18=21', '25-21=4']
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
89,
48,
56,
85
] | 68 | [
"89-85=4",
"48/4=12",
"56+12=68"
] | Current State: 68:[89, 48, 56, 85], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [48, 56, 4]
Generated Node #2: [48, 56, 4] from Operation: 89-85=4
Current State: 68:[48, 56, 4], Operations: ['89-85=4']
Exploring Operation: 48/4=12, Resulting Numbers: [56, 12]
Generated Node #3: [56, 12] from Operation: 48/4=12
Current State: 68:[56, 12], Operations: ['89-85=4', '48/4=12']
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[89, 48, 56, 85], Operations: []
Exploring Operation: 89-48=41, Resulting Numbers: [56, 85, 41]
Generated Node #0,0: 68:[56, 85, 41] Operation: 89-48=41
Exploring Operation: 89-85=4, Resulting Numbers: [48, 56, 4]
Generated Node #0,1: 68:[48, 56, 4] Operation: 89-85=4
Exploring Operation: 89-56=33, Resulting Numbers: [48, 85, 33]
Generated Node #0,2: 68:[48, 85, 33] Operation: 89-56=33
Moving to Node #0,1
Current State: 68:[48, 56, 4], Operations: ['89-85=4']
Exploring Operation: 56-48=8, Resulting Numbers: [4, 8]
Generated Node #0,1,0: 68:[4, 8] Operation: 56-48=8
Exploring Operation: 56/4=14, Resulting Numbers: [48, 14]
Generated Node #0,1,1: 68:[48, 14] Operation: 56/4=14
Exploring Operation: 48/4=12, Resulting Numbers: [56, 12]
Generated Node #0,1,2: 68:[56, 12] Operation: 48/4=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[4, 8], Operations: ['89-85=4', '56-48=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[48, 14], Operations: ['89-85=4', '56/4=14']
Exploring Operation: 48+14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Exploring Operation: 48*14=672, Resulting Numbers: [672]
672,68 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 68:[56, 12], Operations: ['89-85=4', '48/4=12']
Exploring Operation: 56*12=672, Resulting Numbers: [672]
672,68 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[89, 48, 56, 85], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [48, 56, 4]
Generated Node #0,1: 68:[48, 56, 4] Operation: 89-85=4
Moving to Node #0,1
Current State: 68:[48, 56, 4], Operations: ['89-85=4']
Exploring Operation: 48/4=12, Resulting Numbers: [56, 12]
Generated Node #0,1,2: 68:[56, 12] Operation: 48/4=12
Moving to Node #0,1,2
Current State: 68:[56, 12], Operations: ['89-85=4', '48/4=12']
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
24,
9,
15,
32
] | 36 | [
"15-9=6",
"24/6=4",
"32+4=36"
] | Current State: 36:[24, 9, 15, 32], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [24, 32, 6]
Generated Node #2: [24, 32, 6] from Operation: 15-9=6
Current State: 36:[24, 32, 6], Operations: ['15-9=6']
Exploring Operation: 24/6=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 24/6=4
Current State: 36:[32, 4], Operations: ['15-9=6', '24/6=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[24, 9, 15, 32], Operations: []
Exploring Operation: 24-15=9, Resulting Numbers: [9, 32, 9]
Generated Node #0,0: 36:[9, 32, 9] Operation: 24-15=9
Exploring Operation: 32-24=8, Resulting Numbers: [9, 15, 8]
Generated Node #0,1: 36:[9, 15, 8] Operation: 32-24=8
Moving to Node #0,0
Current State: 36:[9, 32, 9], Operations: ['24-15=9']
Exploring Operation: 9+9=18, Resulting Numbers: [32, 18]
Generated Node #0,0,0: 36:[32, 18] Operation: 9+9=18
Exploring Operation: 9+32=41, Resulting Numbers: [9, 41]
Generated Node #0,0,1: 36:[9, 41] Operation: 9+32=41
Moving to Node #0,1
Current State: 36:[9, 15, 8], Operations: ['32-24=8']
Exploring Operation: 15-9=6, Resulting Numbers: [8, 6]
Generated Node #0,1,0: 36:[8, 6] Operation: 15-9=6
Exploring Operation: 15-8=7, Resulting Numbers: [9, 7]
Generated Node #0,1,1: 36:[9, 7] Operation: 15-8=7
Moving to Node #0,1,0
Current State: 36:[8, 6], Operations: ['32-24=8', '15-9=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[9, 7], Operations: ['32-24=8', '15-8=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[32, 18], Operations: ['24-15=9', '9+9=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[9, 41], Operations: ['24-15=9', '9+32=41']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,36 unequal: No Solution
Exploring Operation: 9+41=50, Resulting Numbers: [50]
50,36 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
1,
51,
36,
28
] | 60 | [
"1+51=52",
"36-28=8",
"52+8=60"
] | Current State: 60:[1, 51, 36, 28], Operations: []
Exploring Operation: 1+51=52, Resulting Numbers: [36, 28, 52]
Generated Node #2: [36, 28, 52] from Operation: 1+51=52
Current State: 60:[36, 28, 52], Operations: ['1+51=52']
Exploring Operation: 36-28=8, Resulting Numbers: [52, 8]
Generated Node #3: [52, 8] from Operation: 36-28=8
Current State: 60:[52, 8], Operations: ['1+51=52', '36-28=8']
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[1, 51, 36, 28], Operations: []
Exploring Operation: 36-28=8, Resulting Numbers: [1, 51, 8]
Generated Node #0,0: 60:[1, 51, 8] Operation: 36-28=8
Exploring Operation: 51-28=23, Resulting Numbers: [1, 36, 23]
Generated Node #0,1: 60:[1, 36, 23] Operation: 51-28=23
Exploring Operation: 36+28=64, Resulting Numbers: [1, 51, 64]
Generated Node #0,2: 60:[1, 51, 64] Operation: 36+28=64
Exploring Operation: 51-36=15, Resulting Numbers: [1, 28, 15]
Generated Node #0,3: 60:[1, 28, 15] Operation: 51-36=15
Moving to Node #0,3
Current State: 60:[1, 28, 15], Operations: ['51-36=15']
Exploring Operation: 1*15=15, Resulting Numbers: [28, 15]
Generated Node #0,3,0: 60:[28, 15] Operation: 1*15=15
Exploring Operation: 1*28=28, Resulting Numbers: [15, 28]
Generated Node #0,3,1: 60:[15, 28] Operation: 1*28=28
Exploring Operation: 28/1=28, Resulting Numbers: [15, 28]
Generated Node #0,3,2: 60:[15, 28] Operation: 28/1=28
Exploring Operation: 1+28=29, Resulting Numbers: [15, 29]
Generated Node #0,3,3: 60:[15, 29] Operation: 1+28=29
Moving to Node #0,1
Current State: 60:[1, 36, 23], Operations: ['51-28=23']
Exploring Operation: 36-23=13, Resulting Numbers: [1, 13]
Generated Node #0,1,0: 60:[1, 13] Operation: 36-23=13
Exploring Operation: 36+23=59, Resulting Numbers: [1, 59]
Generated Node #0,1,1: 60:[1, 59] Operation: 36+23=59
Exploring Operation: 23-1=22, Resulting Numbers: [36, 22]
Generated Node #0,1,2: 60:[36, 22] Operation: 23-1=22
Exploring Operation: 36-1=35, Resulting Numbers: [23, 35]
Generated Node #0,1,3: 60:[23, 35] Operation: 36-1=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[1, 13], Operations: ['51-28=23', '36-23=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[1, 59], Operations: ['51-28=23', '36+23=59']
Exploring Operation: 1*59=59, Resulting Numbers: [59]
59,60 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,60 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 1+59=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[1, 51, 36, 28], Operations: []
Exploring Operation: 51-28=23, Resulting Numbers: [1, 36, 23]
Generated Node #0,1: 60:[1, 36, 23] Operation: 51-28=23
Moving to Node #0,1
Current State: 60:[1, 36, 23], Operations: ['51-28=23']
Exploring Operation: 36+23=59, Resulting Numbers: [1, 59]
Generated Node #0,1,1: 60:[1, 59] Operation: 36+23=59
Moving to Node #0,1,1
Current State: 60:[1, 59], Operations: ['51-28=23', '36+23=59']
Exploring Operation: 1+59=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
8,
72,
54,
60
] | 15 | [
"72/8=9",
"60-54=6",
"9+6=15"
] | Current State: 15:[8, 72, 54, 60], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [54, 60, 9]
Generated Node #2: [54, 60, 9] from Operation: 72/8=9
Current State: 15:[54, 60, 9], Operations: ['72/8=9']
Exploring Operation: 60-54=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 60-54=6
Current State: 15:[9, 6], Operations: ['72/8=9', '60-54=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[8, 72, 54, 60], Operations: []
Exploring Operation: 72-8=64, Resulting Numbers: [54, 60, 64]
Generated Node #0,0: 15:[54, 60, 64] Operation: 72-8=64
Exploring Operation: 60-54=6, Resulting Numbers: [8, 72, 6]
Generated Node #0,1: 15:[8, 72, 6] Operation: 60-54=6
Exploring Operation: 72/8=9, Resulting Numbers: [54, 60, 9]
Generated Node #0,2: 15:[54, 60, 9] Operation: 72/8=9
Exploring Operation: 72-54=18, Resulting Numbers: [8, 60, 18]
Generated Node #0,3: 15:[8, 60, 18] Operation: 72-54=18
Exploring Operation: 72-60=12, Resulting Numbers: [8, 54, 12]
Generated Node #0,4: 15:[8, 54, 12] Operation: 72-60=12
Start Sub Search at level 1: Moving to Node #0,4
Current State: 15:[8, 54, 12], Operations: ['72-60=12']
Exploring Operation: 8+54=62, Resulting Numbers: [12, 62]
Generated Node #0,4,0: 15:[12, 62] Operation: 8+54=62
Exploring Operation: 54-8=46, Resulting Numbers: [12, 46]
Generated Node #0,4,1: 15:[12, 46] Operation: 54-8=46
Exploring Operation: 8+12=20, Resulting Numbers: [54, 20]
Generated Node #0,4,2: 15:[54, 20] Operation: 8+12=20
Exploring Operation: 12-8=4, Resulting Numbers: [54, 4]
Generated Node #0,4,3: 15:[54, 4] Operation: 12-8=4
Exploring Operation: 54-12=42, Resulting Numbers: [8, 42]
Generated Node #0,4,4: 15:[8, 42] Operation: 54-12=42
Moving to Node #0,4,4
Current State: 15:[8, 42], Operations: ['72-60=12', '54-12=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,15 unequal: No Solution
Moving to Node #0,4,1
Current State: 15:[12, 46], Operations: ['72-60=12', '54-8=46']
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,15 unequal: No Solution
Moving to Node #0,4,3
Current State: 15:[54, 4], Operations: ['72-60=12', '12-8=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,15 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Moving to Node #0,4,2
Current State: 15:[54, 20], Operations: ['72-60=12', '8+12=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,15 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,15 unequal: No Solution
Moving to Node #0,4,0
Current State: 15:[12, 62], Operations: ['72-60=12', '8+54=62']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 12*62=744, Resulting Numbers: [744]
744,15 unequal: No Solution
Exploring Operation: 12+62=74, Resulting Numbers: [74]
74,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[8, 60, 18], Operations: ['72-54=18']
Exploring Operation: 60-18=42, Resulting Numbers: [8, 42]
Generated Node #0,3,0: 15:[8, 42] Operation: 60-18=42
Exploring Operation: 8+18=26, Resulting Numbers: [60, 26]
Generated Node #0,3,1: 15:[60, 26] Operation: 8+18=26
Exploring Operation: 60-8=52, Resulting Numbers: [18, 52]
Generated Node #0,3,2: 15:[18, 52] Operation: 60-8=52
Exploring Operation: 8+60=68, Resulting Numbers: [18, 68]
Generated Node #0,3,3: 15:[18, 68] Operation: 8+60=68
Exploring Operation: 18-8=10, Resulting Numbers: [60, 10]
Generated Node #0,3,4: 15:[60, 10] Operation: 18-8=10
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 15:[8, 42], Operations: ['72-54=18', '60-18=42']
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,15 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,15 unequal: No Solution
No 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: 15:[18, 52], Operations: ['72-54=18', '60-8=52']
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 18*52=936, Resulting Numbers: [936]
936,15 unequal: No Solution
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,15 unequal: No Solution
No 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: 15:[60, 10], Operations: ['72-54=18', '18-8=10']
Exploring Operation: 60/10=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 60+10=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 60*10=600, Resulting Numbers: [600]
600,15 unequal: No Solution
No 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: 15:[60, 26], Operations: ['72-54=18', '8+18=26']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 60*26=1560, Resulting Numbers: [1560]
1560,15 unequal: No Solution
No 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: 15:[18, 68], Operations: ['72-54=18', '8+60=68']
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,15 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: 15:[8, 72, 6], Operations: ['60-54=6']
Exploring Operation: 72/8=9, Resulting Numbers: [6, 9]
Generated Node #0,1,0: 15:[6, 9] Operation: 72/8=9
Exploring Operation: 8+6=14, Resulting Numbers: [72, 14]
Generated Node #0,1,1: 15:[72, 14] Operation: 8+6=14
Exploring Operation: 72-8=64, Resulting Numbers: [6, 64]
Generated Node #0,1,2: 15:[6, 64] Operation: 72-8=64
Exploring Operation: 72/6=12, Resulting Numbers: [8, 12]
Generated Node #0,1,3: 15:[8, 12] Operation: 72/6=12
Exploring Operation: 72-6=66, Resulting Numbers: [8, 66]
Generated Node #0,1,4: 15:[8, 66] Operation: 72-6=66
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[6, 9], Operations: ['60-54=6', '72/8=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[8, 72, 54, 60], Operations: []
Exploring Operation: 60-54=6, Resulting Numbers: [8, 72, 6]
Generated Node #0,1: 15:[8, 72, 6] Operation: 60-54=6
Moving to Node #0,1
Current State: 15:[8, 72, 6], Operations: ['60-54=6']
Exploring Operation: 72/8=9, Resulting Numbers: [6, 9]
Generated Node #0,1,0: 15:[6, 9] Operation: 72/8=9
Moving to Node #0,1,0
Current State: 15:[6, 9], Operations: ['60-54=6', '72/8=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.951389 | hs_5 | mult_heuristic |
[
26,
60,
4,
2
] | 43 | [
"26+60=86",
"4-2=2",
"86/2=43"
] | Current State: 43:[26, 60, 4, 2], Operations: []
Exploring Operation: 26+60=86, Resulting Numbers: [4, 2, 86]
Generated Node #2: [4, 2, 86] from Operation: 26+60=86
Current State: 43:[4, 2, 86], Operations: ['26+60=86']
Exploring Operation: 4-2=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 4-2=2
Current State: 43:[86, 2], Operations: ['26+60=86', '4-2=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[26, 60, 4, 2], Operations: []
Exploring Operation: 26*2=52, Resulting Numbers: [60, 4, 52]
Generated Node #0,0: 43:[60, 4, 52] Operation: 26*2=52
Moving to Node #0,0
Current State: 43:[60, 4, 52], Operations: ['26*2=52']
Exploring Operation: 60-4=56, Resulting Numbers: [52, 56]
Generated Node #0,0,0: 43:[52, 56] Operation: 60-4=56
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[52, 56], Operations: ['26*2=52', '60-4=56']
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,43 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 |
[
71,
83,
10,
7
] | 62 | [
"83+7=90",
"90/10=9",
"71-9=62"
] | Current State: 62:[71, 83, 10, 7], Operations: []
Exploring Operation: 83+7=90, Resulting Numbers: [71, 10, 90]
Generated Node #2: [71, 10, 90] from Operation: 83+7=90
Current State: 62:[71, 10, 90], Operations: ['83+7=90']
Exploring Operation: 90/10=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 90/10=9
Current State: 62:[71, 9], Operations: ['83+7=90', '90/10=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[71, 83, 10, 7], Operations: []
Exploring Operation: 83-71=12, Resulting Numbers: [10, 7, 12]
Generated Node #0,0: 62:[10, 7, 12] Operation: 83-71=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[10, 7, 12], Operations: ['83-71=12']
Exploring Operation: 12-10=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 62:[7, 2] Operation: 12-10=2
Moving to Node #0,0,0
Current State: 62:[7, 2], Operations: ['83-71=12', '12-10=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
69,
32,
64,
71
] | 32 | [
"69*32=2208",
"64+2208=2272",
"2272/71=32"
] | Current State: 32:[69, 32, 64, 71], Operations: []
Exploring Operation: 69*32=2208, Resulting Numbers: [64, 71, 2208]
Generated Node #2: [64, 71, 2208] from Operation: 69*32=2208
Current State: 32:[64, 71, 2208], Operations: ['69*32=2208']
Exploring Operation: 64+2208=2272, Resulting Numbers: [71, 2272]
Generated Node #3: [71, 2272] from Operation: 64+2208=2272
Current State: 32:[71, 2272], Operations: ['69*32=2208', '64+2208=2272']
Exploring Operation: 2272/71=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[69, 32, 64, 71], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [32, 64, 2]
Generated Node #0,0: 32:[32, 64, 2] Operation: 71-69=2
Exploring Operation: 71-64=7, Resulting Numbers: [69, 32, 7]
Generated Node #0,1: 32:[69, 32, 7] Operation: 71-64=7
Exploring Operation: 69-64=5, Resulting Numbers: [32, 71, 5]
Generated Node #0,2: 32:[32, 71, 5] Operation: 69-64=5
Moving to Node #0,0
Current State: 32:[32, 64, 2], Operations: ['71-69=2']
Exploring Operation: 64/32=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 32:[2, 2] Operation: 64/32=2
Exploring Operation: 64-32=32, Resulting Numbers: [2, 32]
Generated Node #0,0,1: 32:[2, 32] Operation: 64-32=32
Exploring Operation: 64/2=32, Resulting Numbers: [32, 32]
Generated Node #0,0,2: 32:[32, 32] Operation: 64/2=32
Moving to Node #0,1
Current State: 32:[69, 32, 7], Operations: ['71-64=7']
Exploring Operation: 69-7=62, Resulting Numbers: [32, 62]
Generated Node #0,1,0: 32:[32, 62] Operation: 69-7=62
Exploring Operation: 69+7=76, Resulting Numbers: [32, 76]
Generated Node #0,1,1: 32:[32, 76] Operation: 69+7=76
Exploring Operation: 69-32=37, Resulting Numbers: [7, 37]
Generated Node #0,1,2: 32:[7, 37] Operation: 69-32=37
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 32:[7, 37], Operations: ['71-64=7', '69-32=37']
Exploring Operation: 7*37=259, Resulting Numbers: [259]
259,32 unequal: No Solution
Exploring Operation: 7+37=44, Resulting Numbers: [44]
44,32 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[32, 62], Operations: ['71-64=7', '69-7=62']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,32 unequal: No Solution
Exploring Operation: 32*62=1984, Resulting Numbers: [1984]
1984,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[32, 76], Operations: ['71-64=7', '69+7=76']
Exploring Operation: 32*76=2432, Resulting Numbers: [2432]
2432,32 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,32 unequal: No Solution
Exploring Operation: 32+76=108, Resulting Numbers: [108]
108,32 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: 32:[32, 71, 5], Operations: ['69-64=5']
Exploring Operation: 71-32=39, Resulting Numbers: [5, 39]
Generated Node #0,2,0: 32:[5, 39] Operation: 71-32=39
Exploring Operation: 71-5=66, Resulting Numbers: [32, 66]
Generated Node #0,2,1: 32:[32, 66] Operation: 71-5=66
Exploring Operation: 32+5=37, Resulting Numbers: [71, 37]
Generated Node #0,2,2: 32:[71, 37] Operation: 32+5=37
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[5, 39], Operations: ['69-64=5', '71-32=39']
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,32 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,32 unequal: No Solution
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 32:[32, 66], Operations: ['69-64=5', '71-5=66']
Exploring Operation: 32+66=98, Resulting Numbers: [98]
98,32 unequal: No Solution
Exploring Operation: 32*66=2112, Resulting Numbers: [2112]
2112,32 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 32:[71, 37], Operations: ['69-64=5', '32+5=37']
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,32 unequal: No Solution
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,32 unequal: No Solution
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,32 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: 32:[2, 2], Operations: ['71-69=2', '64/32=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[2, 32], Operations: ['71-69=2', '64-32=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,32 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[32, 32], Operations: ['71-69=2', '64/2=32']
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,32 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,32 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
29,
22,
38,
36
] | 23 | [
"29+22=51",
"38+36=74",
"74-51=23"
] | Current State: 23:[29, 22, 38, 36], Operations: []
Exploring Operation: 29+22=51, Resulting Numbers: [38, 36, 51]
Generated Node #2: [38, 36, 51] from Operation: 29+22=51
Current State: 23:[38, 36, 51], Operations: ['29+22=51']
Exploring Operation: 38+36=74, Resulting Numbers: [51, 74]
Generated Node #3: [51, 74] from Operation: 38+36=74
Current State: 23:[51, 74], Operations: ['29+22=51', '38+36=74']
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[29, 22, 38, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [29, 22, 2]
Generated Node #0,0: 23:[29, 22, 2] Operation: 38-36=2
Exploring Operation: 38-22=16, Resulting Numbers: [29, 36, 16]
Generated Node #0,1: 23:[29, 36, 16] Operation: 38-22=16
Exploring Operation: 38-29=9, Resulting Numbers: [22, 36, 9]
Generated Node #0,2: 23:[22, 36, 9] Operation: 38-29=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[29, 36, 16], Operations: ['38-22=16']
Exploring Operation: 36-16=20, Resulting Numbers: [29, 20]
Generated Node #0,1,0: 23:[29, 20] Operation: 36-16=20
Exploring Operation: 36-29=7, Resulting Numbers: [16, 7]
Generated Node #0,1,1: 23:[16, 7] Operation: 36-29=7
Exploring Operation: 29-16=13, Resulting Numbers: [36, 13]
Generated Node #0,1,2: 23:[36, 13] Operation: 29-16=13
Moving to Node #0,1,0
Current State: 23:[29, 20], Operations: ['38-22=16', '36-16=20']
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,23 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[16, 7], Operations: ['38-22=16', '36-29=7']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[29, 22, 38, 36], Operations: []
Exploring Operation: 38-22=16, Resulting Numbers: [29, 36, 16]
Generated Node #0,1: 23:[29, 36, 16] Operation: 38-22=16
Moving to Node #0,1
Current State: 23:[29, 36, 16], Operations: ['38-22=16']
Exploring Operation: 36-29=7, Resulting Numbers: [16, 7]
Generated Node #0,1,1: 23:[16, 7] Operation: 36-29=7
Moving to Node #0,1,1
Current State: 23:[16, 7], Operations: ['38-22=16', '36-29=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
49,
7,
5,
14
] | 70 | [
"49-14=35",
"7*5=35",
"35+35=70"
] | Current State: 70:[49, 7, 5, 14], Operations: []
Exploring Operation: 49-14=35, Resulting Numbers: [7, 5, 35]
Generated Node #2: [7, 5, 35] from Operation: 49-14=35
Current State: 70:[7, 5, 35], Operations: ['49-14=35']
Exploring Operation: 7*5=35, Resulting Numbers: [35, 35]
Generated Node #3: [35, 35] from Operation: 7*5=35
Current State: 70:[35, 35], Operations: ['49-14=35', '7*5=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[49, 7, 5, 14], Operations: []
Exploring Operation: 49-7=42, Resulting Numbers: [5, 14, 42]
Generated Node #0,0: 70:[5, 14, 42] Operation: 49-7=42
Exploring Operation: 49-14=35, Resulting Numbers: [7, 5, 35]
Generated Node #0,1: 70:[7, 5, 35] Operation: 49-14=35
Exploring Operation: 49/7=7, Resulting Numbers: [5, 14, 7]
Generated Node #0,2: 70:[5, 14, 7] Operation: 49/7=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[7, 5, 35], Operations: ['49-14=35']
Exploring Operation: 7*5=35, Resulting Numbers: [35, 35]
Generated Node #0,1,0: 70:[35, 35] Operation: 7*5=35
Exploring Operation: 7-5=2, Resulting Numbers: [35, 2]
Generated Node #0,1,1: 70:[35, 2] Operation: 7-5=2
Exploring Operation: 35/7=5, Resulting Numbers: [5, 5]
Generated Node #0,1,2: 70:[5, 5] Operation: 35/7=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 70:[35, 35], Operations: ['49-14=35', '7*5=35']
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,70 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[49, 7, 5, 14], Operations: []
Exploring Operation: 49-14=35, Resulting Numbers: [7, 5, 35]
Generated Node #0,1: 70:[7, 5, 35] Operation: 49-14=35
Moving to Node #0,1
Current State: 70:[7, 5, 35], Operations: ['49-14=35']
Exploring Operation: 7*5=35, Resulting Numbers: [35, 35]
Generated Node #0,1,0: 70:[35, 35] Operation: 7*5=35
Moving to Node #0,1,0
Current State: 70:[35, 35], Operations: ['49-14=35', '7*5=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
6,
31,
69,
13
] | 40 | [
"6*13=78",
"69-31=38",
"78-38=40"
] | Current State: 40:[6, 31, 69, 13], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [31, 69, 78]
Generated Node #2: [31, 69, 78] from Operation: 6*13=78
Current State: 40:[31, 69, 78], Operations: ['6*13=78']
Exploring Operation: 69-31=38, Resulting Numbers: [78, 38]
Generated Node #3: [78, 38] from Operation: 69-31=38
Current State: 40:[78, 38], Operations: ['6*13=78', '69-31=38']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[6, 31, 69, 13], Operations: []
Exploring Operation: 31-13=18, Resulting Numbers: [6, 69, 18]
Generated Node #0,0: 40:[6, 69, 18] Operation: 31-13=18
Exploring Operation: 69-31=38, Resulting Numbers: [6, 13, 38]
Generated Node #0,1: 40:[6, 13, 38] Operation: 69-31=38
Exploring Operation: 69-13=56, Resulting Numbers: [6, 31, 56]
Generated Node #0,2: 40:[6, 31, 56] Operation: 69-13=56
Exploring Operation: 6+31=37, Resulting Numbers: [69, 13, 37]
Generated Node #0,3: 40:[69, 13, 37] Operation: 6+31=37
Exploring Operation: 31+13=44, Resulting Numbers: [6, 69, 44]
Generated Node #0,4: 40:[6, 69, 44] Operation: 31+13=44
Moving to Node #0,1
Current State: 40:[6, 13, 38], Operations: ['69-31=38']
Exploring Operation: 13-6=7, Resulting Numbers: [38, 7]
Generated Node #0,1,0: 40:[38, 7] Operation: 13-6=7
Exploring Operation: 38-13=25, Resulting Numbers: [6, 25]
Generated Node #0,1,1: 40:[6, 25] Operation: 38-13=25
Exploring Operation: 6+13=19, Resulting Numbers: [38, 19]
Generated Node #0,1,2: 40:[38, 19] Operation: 6+13=19
Exploring Operation: 6+38=44, Resulting Numbers: [13, 44]
Generated Node #0,1,3: 40:[13, 44] Operation: 6+38=44
Exploring Operation: 38-6=32, Resulting Numbers: [13, 32]
Generated Node #0,1,4: 40:[13, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[38, 7], Operations: ['69-31=38', '13-6=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,40 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 40:[38, 19], Operations: ['69-31=38', '6+13=19']
Exploring Operation: 38+19=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 38*19=722, Resulting Numbers: [722]
722,40 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[6, 25], Operations: ['69-31=38', '38-13=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 40:[13, 44], Operations: ['69-31=38', '6+38=44']
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 13*44=572, Resulting Numbers: [572]
572,40 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 40:[13, 32], Operations: ['69-31=38', '38-6=32']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,40 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: 40:[6, 31, 56], Operations: ['69-13=56']
Exploring Operation: 31-6=25, Resulting Numbers: [56, 25]
Generated Node #0,2,0: 40:[56, 25] Operation: 31-6=25
Exploring Operation: 6+31=37, Resulting Numbers: [56, 37]
Generated Node #0,2,1: 40:[56, 37] Operation: 6+31=37
Exploring Operation: 56-31=25, Resulting Numbers: [6, 25]
Generated Node #0,2,2: 40:[6, 25] Operation: 56-31=25
Exploring Operation: 6+56=62, Resulting Numbers: [31, 62]
Generated Node #0,2,3: 40:[31, 62] Operation: 6+56=62
Exploring Operation: 56-6=50, Resulting Numbers: [31, 50]
Generated Node #0,2,4: 40:[31, 50] Operation: 56-6=50
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 40:[6, 25], Operations: ['69-13=56', '56-31=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 40:[56, 37], Operations: ['69-13=56', '6+31=37']
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,40 unequal: No Solution
Exploring Operation: 56*37=2072, Resulting Numbers: [2072]
2072,40 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 40:[31, 50], Operations: ['69-13=56', '56-6=50']
Exploring Operation: 31+50=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 31*50=1550, Resulting Numbers: [1550]
1550,40 unequal: No Solution
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 40:[56, 25], Operations: ['69-13=56', '31-6=25']
Exploring Operation: 56*25=1400, Resulting Numbers: [1400]
1400,40 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 56+25=81, Resulting Numbers: [81]
81,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 40:[31, 62], Operations: ['69-13=56', '6+56=62']
Exploring Operation: 31*62=1922, Resulting Numbers: [1922]
1922,40 unequal: No Solution
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 31+62=93, Resulting Numbers: [93]
93,40 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: 40:[6, 69, 18], Operations: ['31-13=18']
Exploring Operation: 18-6=12, Resulting Numbers: [69, 12]
Generated Node #0,0,0: 40:[69, 12] Operation: 18-6=12
Exploring Operation: 18/6=3, Resulting Numbers: [69, 3]
Generated Node #0,0,1: 40:[69, 3] Operation: 18/6=3
Exploring Operation: 69-18=51, Resulting Numbers: [6, 51]
Generated Node #0,0,2: 40:[6, 51] Operation: 69-18=51
Exploring Operation: 6+18=24, Resulting Numbers: [69, 24]
Generated Node #0,0,3: 40:[69, 24] Operation: 6+18=24
Exploring Operation: 69-6=63, Resulting Numbers: [18, 63]
Generated Node #0,0,4: 40:[18, 63] Operation: 69-6=63
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 40:[6, 51], Operations: ['31-13=18', '69-18=51']
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,40 unequal: No Solution
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 40:[18, 63], Operations: ['31-13=18', '69-6=63']
Exploring Operation: 18*63=1134, Resulting Numbers: [1134]
1134,40 unequal: No Solution
Exploring Operation: 18+63=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[69, 3], Operations: ['31-13=18', '18/6=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,40 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,40 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[69, 12], Operations: ['31-13=18', '18-6=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,40 unequal: No Solution
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 40:[69, 24], Operations: ['31-13=18', '6+18=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,40 unequal: No Solution
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,40 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: 40:[6, 69, 44], Operations: ['31+13=44']
Exploring Operation: 69-44=25, Resulting Numbers: [6, 25]
Generated Node #0,4,0: 40:[6, 25] Operation: 69-44=25
Exploring Operation: 6+44=50, Resulting Numbers: [69, 50]
Generated Node #0,4,1: 40:[69, 50] Operation: 6+44=50
Exploring Operation: 6+69=75, Resulting Numbers: [44, 75]
Generated Node #0,4,2: 40:[44, 75] Operation: 6+69=75
Exploring Operation: 44-6=38, Resulting Numbers: [69, 38]
Generated Node #0,4,3: 40:[69, 38] Operation: 44-6=38
Exploring Operation: 69-6=63, Resulting Numbers: [44, 63]
Generated Node #0,4,4: 40:[44, 63] Operation: 69-6=63
Moving to Node #0,3
Current State: 40:[69, 13, 37], Operations: ['6+31=37']
Exploring Operation: 69-13=56, Resulting Numbers: [37, 56]
Generated Node #0,3,0: 40:[37, 56] Operation: 69-13=56
Exploring Operation: 69-37=32, Resulting Numbers: [13, 32]
Generated Node #0,3,1: 40:[13, 32] Operation: 69-37=32
Exploring Operation: 37-13=24, Resulting Numbers: [69, 24]
Generated Node #0,3,2: 40:[69, 24] Operation: 37-13=24
Exploring Operation: 13+37=50, Resulting Numbers: [69, 50]
Generated Node #0,3,3: 40:[69, 50] Operation: 13+37=50
Exploring Operation: 69+13=82, Resulting Numbers: [37, 82]
Generated Node #0,3,4: 40:[37, 82] Operation: 69+13=82
Moving to Node #0,4,0
Current State: 40:[6, 25], Operations: ['31+13=44', '69-44=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[13, 32], Operations: ['6+31=37', '69-37=32']
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,40 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Moving to Node #0,3,0
Current State: 40:[37, 56], Operations: ['6+31=37', '69-13=56']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 37*56=2072, Resulting Numbers: [2072]
2072,40 unequal: No Solution
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,40 unequal: No Solution
Moving to Node #0,4,4
Current State: 40:[44, 63], Operations: ['31+13=44', '69-6=63']
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,40 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,40 unequal: No Solution
Moving to Node #0,4,3
Current State: 40:[69, 38], Operations: ['31+13=44', '44-6=38']
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 69*38=2622, Resulting Numbers: [2622]
2622,40 unequal: No Solution
Exploring Operation: 69+38=107, Resulting Numbers: [107]
107,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[69, 24], Operations: ['6+31=37', '37-13=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,40 unequal: No Solution
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[69, 50], Operations: ['6+31=37', '13+37=50']
Exploring Operation: 69+50=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 69*50=3450, Resulting Numbers: [3450]
3450,40 unequal: No Solution
Moving to Node #0,4,2
Current State: 40:[44, 75], Operations: ['31+13=44', '6+69=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,40 unequal: No Solution
Exploring Operation: 44+75=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 44*75=3300, Resulting Numbers: [3300]
3300,40 unequal: No Solution
Moving to Node #0,4,1
Current State: 40:[69, 50], Operations: ['31+13=44', '6+44=50']
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,40 unequal: No Solution
Exploring Operation: 69+50=119, Resulting Numbers: [119]
119,40 unequal: No Solution
Exploring Operation: 69*50=3450, Resulting Numbers: [3450]
3450,40 unequal: No Solution
Moving to Node #0,3,4
Current State: 40:[37, 82], Operations: ['6+31=37', '69+13=82']
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,40 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,40 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
31,
74,
63,
94
] | 73 | [
"31+63=94",
"94/94=1",
"74-1=73"
] | Current State: 73:[31, 74, 63, 94], Operations: []
Exploring Operation: 31+63=94, Resulting Numbers: [74, 94, 94]
Generated Node #2: [74, 94, 94] from Operation: 31+63=94
Current State: 73:[74, 94, 94], Operations: ['31+63=94']
Exploring Operation: 94/94=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 94/94=1
Current State: 73:[74, 1], Operations: ['31+63=94', '94/94=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[31, 74, 63, 94], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [74, 63, 63]
Generated Node #0,0: 73:[74, 63, 63] Operation: 94-31=63
Exploring Operation: 31+63=94, Resulting Numbers: [74, 94, 94]
Generated Node #0,1: 73:[74, 94, 94] Operation: 31+63=94
Exploring Operation: 31+74=105, Resulting Numbers: [63, 94, 105]
Generated Node #0,2: 73:[63, 94, 105] Operation: 31+74=105
Exploring Operation: 74-31=43, Resulting Numbers: [63, 94, 43]
Generated Node #0,3: 73:[63, 94, 43] Operation: 74-31=43
Moving to Node #0,0
Current State: 73:[74, 63, 63], Operations: ['94-31=63']
Exploring Operation: 63/63=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 73:[74, 1] Operation: 63/63=1
Exploring Operation: 63+63=126, Resulting Numbers: [74, 126]
Generated Node #0,0,1: 73:[74, 126] Operation: 63+63=126
Exploring Operation: 74-63=11, Resulting Numbers: [63, 11]
Generated Node #0,0,2: 73:[63, 11] Operation: 74-63=11
Exploring Operation: 74-63=11, Resulting Numbers: [63, 11]
Generated Node #0,0,3: 73:[63, 11] Operation: 74-63=11
Moving to Node #0,1
Current State: 73:[74, 94, 94], Operations: ['31+63=94']
Exploring Operation: 94-74=20, Resulting Numbers: [94, 20]
Generated Node #0,1,0: 73:[94, 20] Operation: 94-74=20
Exploring Operation: 94/94=1, Resulting Numbers: [74, 1]
Generated Node #0,1,1: 73:[74, 1] Operation: 94/94=1
Exploring Operation: 94-94=0, Resulting Numbers: [74, 0]
Generated Node #0,1,2: 73:[74, 0] Operation: 94-94=0
Exploring Operation: 94-74=20, Resulting Numbers: [94, 20]
Generated Node #0,1,3: 73:[94, 20] Operation: 94-74=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[74, 1], Operations: ['31+63=94', '94/94=1']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[31, 74, 63, 94], Operations: []
Exploring Operation: 31+63=94, Resulting Numbers: [74, 94, 94]
Generated Node #0,1: 73:[74, 94, 94] Operation: 31+63=94
Moving to Node #0,1
Current State: 73:[74, 94, 94], Operations: ['31+63=94']
Exploring Operation: 94/94=1, Resulting Numbers: [74, 1]
Generated Node #0,1,1: 73:[74, 1] Operation: 94/94=1
Moving to Node #0,1,1
Current State: 73:[74, 1], Operations: ['31+63=94', '94/94=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
4,
75,
64,
70
] | 84 | [
"75-70=5",
"4*5=20",
"64+20=84"
] | Current State: 84:[4, 75, 64, 70], Operations: []
Exploring Operation: 75-70=5, Resulting Numbers: [4, 64, 5]
Generated Node #2: [4, 64, 5] from Operation: 75-70=5
Current State: 84:[4, 64, 5], Operations: ['75-70=5']
Exploring Operation: 4*5=20, Resulting Numbers: [64, 20]
Generated Node #3: [64, 20] from Operation: 4*5=20
Current State: 84:[64, 20], Operations: ['75-70=5', '4*5=20']
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[4, 75, 64, 70], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [4, 70, 11]
Generated Node #0,0: 84:[4, 70, 11] Operation: 75-64=11
Exploring Operation: 70-64=6, Resulting Numbers: [4, 75, 6]
Generated Node #0,1: 84:[4, 75, 6] Operation: 70-64=6
Moving to Node #0,1
Current State: 84:[4, 75, 6], Operations: ['70-64=6']
Exploring Operation: 75+6=81, Resulting Numbers: [4, 81]
Generated Node #0,1,0: 84:[4, 81] Operation: 75+6=81
Exploring Operation: 4+75=79, Resulting Numbers: [6, 79]
Generated Node #0,1,1: 84:[6, 79] Operation: 4+75=79
Moving to Node #0,0
Current State: 84:[4, 70, 11], Operations: ['75-64=11']
Exploring Operation: 70+11=81, Resulting Numbers: [4, 81]
Generated Node #0,0,0: 84:[4, 81] Operation: 70+11=81
Exploring Operation: 4+70=74, Resulting Numbers: [11, 74]
Generated Node #0,0,1: 84:[11, 74] Operation: 4+70=74
Moving to Node #0,1,0
Current State: 84:[4, 81], Operations: ['70-64=6', '75+6=81']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[4, 81], Operations: ['75-64=11', '70+11=81']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,84 unequal: No Solution
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[6, 79], Operations: ['70-64=6', '4+75=79']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[11, 74], Operations: ['75-64=11', '4+70=74']
Exploring Operation: 11+74=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,84 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
43,
85,
41,
6
] | 77 | [
"85-43=42",
"41-6=35",
"42+35=77"
] | Current State: 77:[43, 85, 41, 6], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [41, 6, 42]
Generated Node #2: [41, 6, 42] from Operation: 85-43=42
Current State: 77:[41, 6, 42], Operations: ['85-43=42']
Exploring Operation: 41-6=35, Resulting Numbers: [42, 35]
Generated Node #3: [42, 35] from Operation: 41-6=35
Current State: 77:[42, 35], Operations: ['85-43=42', '41-6=35']
Exploring Operation: 42+35=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[43, 85, 41, 6], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [85, 6, 2]
Generated Node #0,0: 77:[85, 6, 2] Operation: 43-41=2
Exploring Operation: 43+41=84, Resulting Numbers: [85, 6, 84]
Generated Node #0,1: 77:[85, 6, 84] Operation: 43+41=84
Exploring Operation: 85-43=42, Resulting Numbers: [41, 6, 42]
Generated Node #0,2: 77:[41, 6, 42] Operation: 85-43=42
Moving to Node #0,0
Current State: 77:[85, 6, 2], Operations: ['43-41=2']
Exploring Operation: 85-6=79, Resulting Numbers: [2, 79]
Generated Node #0,0,0: 77:[2, 79] Operation: 85-6=79
Exploring Operation: 85-2=83, Resulting Numbers: [6, 83]
Generated Node #0,0,1: 77:[6, 83] Operation: 85-2=83
Exploring Operation: 6+2=8, Resulting Numbers: [85, 8]
Generated Node #0,0,2: 77:[85, 8] Operation: 6+2=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[2, 79], Operations: ['43-41=2', '85-6=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 2*79=158, Resulting Numbers: [158]
158,77 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[43, 85, 41, 6], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [85, 6, 2]
Generated Node #0,0: 77:[85, 6, 2] Operation: 43-41=2
Moving to Node #0,0
Current State: 77:[85, 6, 2], Operations: ['43-41=2']
Exploring Operation: 85-6=79, Resulting Numbers: [2, 79]
Generated Node #0,0,0: 77:[2, 79] Operation: 85-6=79
Moving to Node #0,0,0
Current State: 77:[2, 79], Operations: ['43-41=2', '85-6=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
50,
94,
72,
94
] | 50 | [
"94-94=0",
"72*0=0",
"50+0=50"
] | Current State: 50:[50, 94, 72, 94], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [50, 72, 0]
Generated Node #2: [50, 72, 0] from Operation: 94-94=0
Current State: 50:[50, 72, 0], Operations: ['94-94=0']
Exploring Operation: 72*0=0, Resulting Numbers: [50, 0]
Generated Node #3: [50, 0] from Operation: 72*0=0
Current State: 50:[50, 0], Operations: ['94-94=0', '72*0=0']
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[50, 94, 72, 94], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [50, 72, 0]
Generated Node #0,0: 50:[50, 72, 0] Operation: 94-94=0
Exploring Operation: 94/94=1, Resulting Numbers: [50, 72, 1]
Generated Node #0,1: 50:[50, 72, 1] Operation: 94/94=1
Exploring Operation: 94-72=22, Resulting Numbers: [50, 94, 22]
Generated Node #0,2: 50:[50, 94, 22] Operation: 94-72=22
Moving to Node #0,1
Current State: 50:[50, 72, 1], Operations: ['94/94=1']
Exploring Operation: 50*1=50, Resulting Numbers: [72, 50]
Generated Node #0,1,0: 50:[72, 50] Operation: 50*1=50
Exploring Operation: 72-1=71, Resulting Numbers: [50, 71]
Generated Node #0,1,1: 50:[50, 71] Operation: 72-1=71
Exploring Operation: 72-50=22, Resulting Numbers: [1, 22]
Generated Node #0,1,2: 50:[1, 22] Operation: 72-50=22
Moving to Node #0,0
Current State: 50:[50, 72, 0], Operations: ['94-94=0']
Exploring Operation: 72*0=0, Resulting Numbers: [50, 0]
Generated Node #0,0,0: 50:[50, 0] Operation: 72*0=0
Exploring Operation: 50+0=50, Resulting Numbers: [72, 50]
Generated Node #0,0,1: 50:[72, 50] Operation: 50+0=50
Exploring Operation: 72-50=22, Resulting Numbers: [0, 22]
Generated Node #0,0,2: 50:[0, 22] Operation: 72-50=22
Moving to Node #0,2
Current State: 50:[50, 94, 22], Operations: ['94-72=22']
Exploring Operation: 94-22=72, Resulting Numbers: [50, 72]
Generated Node #0,2,0: 50:[50, 72] Operation: 94-22=72
Exploring Operation: 94-50=44, Resulting Numbers: [22, 44]
Generated Node #0,2,1: 50:[22, 44] Operation: 94-50=44
Exploring Operation: 50-22=28, Resulting Numbers: [94, 28]
Generated Node #0,2,2: 50:[94, 28] Operation: 50-22=28
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[22, 44], Operations: ['94-72=22', '94-50=44']
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,50 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,50 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 #0,2,0
Current State: 50:[50, 72], Operations: ['94-72=22', '94-22=72']
Exploring Operation: 50+72=122, Resulting Numbers: [122]
122,50 unequal: No Solution
Exploring Operation: 50*72=3600, Resulting Numbers: [3600]
3600,50 unequal: No Solution
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,50 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:[94, 28], Operations: ['94-72=22', '50-22=28']
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,50 unequal: No Solution
Exploring Operation: 94+28=122, Resulting Numbers: [122]
122,50 unequal: No Solution
Exploring Operation: 94*28=2632, Resulting Numbers: [2632]
2632,50 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: 50:[50, 0], Operations: ['94-94=0', '72*0=0']
Exploring Operation: 50-0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[50, 94, 72, 94], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [50, 72, 0]
Generated Node #0,0: 50:[50, 72, 0] Operation: 94-94=0
Moving to Node #0,0
Current State: 50:[50, 72, 0], Operations: ['94-94=0']
Exploring Operation: 72*0=0, Resulting Numbers: [50, 0]
Generated Node #0,0,0: 50:[50, 0] Operation: 72*0=0
Moving to Node #0,0,0
Current State: 50:[50, 0], Operations: ['94-94=0', '72*0=0']
Exploring Operation: 50-0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
57,
60,
49,
22
] | 68 | [
"60-57=3",
"49+22=71",
"71-3=68"
] | Current State: 68:[57, 60, 49, 22], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [49, 22, 3]
Generated Node #2: [49, 22, 3] from Operation: 60-57=3
Current State: 68:[49, 22, 3], Operations: ['60-57=3']
Exploring Operation: 49+22=71, Resulting Numbers: [3, 71]
Generated Node #3: [3, 71] from Operation: 49+22=71
Current State: 68:[3, 71], Operations: ['60-57=3', '49+22=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[57, 60, 49, 22], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [60, 22, 8]
Generated Node #0,0: 68:[60, 22, 8] Operation: 57-49=8
Moving to Node #0,0
Current State: 68:[60, 22, 8], Operations: ['57-49=8']
Exploring Operation: 60+8=68, Resulting Numbers: [22, 68]
Generated Node #0,0,0: 68:[22, 68] Operation: 60+8=68
Moving to Node #0,0,0
Current State: 68:[22, 68], Operations: ['57-49=8', '60+8=68']
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,68 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
31,
47,
22,
80
] | 74 | [
"47-31=16",
"80-22=58",
"16+58=74"
] | Current State: 74:[31, 47, 22, 80], Operations: []
Exploring Operation: 47-31=16, Resulting Numbers: [22, 80, 16]
Generated Node #2: [22, 80, 16] from Operation: 47-31=16
Current State: 74:[22, 80, 16], Operations: ['47-31=16']
Exploring Operation: 80-22=58, Resulting Numbers: [16, 58]
Generated Node #3: [16, 58] from Operation: 80-22=58
Current State: 74:[16, 58], Operations: ['47-31=16', '80-22=58']
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[31, 47, 22, 80], Operations: []
Exploring Operation: 47+22=69, Resulting Numbers: [31, 80, 69]
Generated Node #0,0: 74:[31, 80, 69] Operation: 47+22=69
Exploring Operation: 47-22=25, Resulting Numbers: [31, 80, 25]
Generated Node #0,1: 74:[31, 80, 25] Operation: 47-22=25
Exploring Operation: 31+47=78, Resulting Numbers: [22, 80, 78]
Generated Node #0,2: 74:[22, 80, 78] Operation: 31+47=78
Exploring Operation: 31-22=9, Resulting Numbers: [47, 80, 9]
Generated Node #0,3: 74:[47, 80, 9] Operation: 31-22=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[31, 80, 69], Operations: ['47+22=69']
Exploring Operation: 80-31=49, Resulting Numbers: [69, 49]
Generated Node #0,0,0: 74:[69, 49] Operation: 80-31=49
Exploring Operation: 31+69=100, Resulting Numbers: [80, 100]
Generated Node #0,0,1: 74:[80, 100] Operation: 31+69=100
Exploring Operation: 69-31=38, Resulting Numbers: [80, 38]
Generated Node #0,0,2: 74:[80, 38] Operation: 69-31=38
Exploring Operation: 80-69=11, Resulting Numbers: [31, 11]
Generated Node #0,0,3: 74:[31, 11] Operation: 80-69=11
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[80, 38], Operations: ['47+22=69', '69-31=38']
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,74 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[31, 11], Operations: ['47+22=69', '80-69=11']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,74 unequal: No Solution
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 31*11=341, Resulting Numbers: [341]
341,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[69, 49], Operations: ['47+22=69', '80-31=49']
Exploring Operation: 69+49=118, Resulting Numbers: [118]
118,74 unequal: No Solution
Exploring Operation: 69*49=3381, Resulting Numbers: [3381]
3381,74 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[80, 100], Operations: ['47+22=69', '31+69=100']
Exploring Operation: 80+100=180, Resulting Numbers: [180]
180,74 unequal: No Solution
Exploring Operation: 100-80=20, Resulting Numbers: [20]
20,74 unequal: No Solution
Exploring Operation: 80*100=8000, Resulting Numbers: [8000]
8000,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[47, 80, 9], Operations: ['31-22=9']
Exploring Operation: 47+9=56, Resulting Numbers: [80, 56]
Generated Node #0,3,0: 74:[80, 56] Operation: 47+9=56
Exploring Operation: 80-9=71, Resulting Numbers: [47, 71]
Generated Node #0,3,1: 74:[47, 71] Operation: 80-9=71
Exploring Operation: 47-9=38, Resulting Numbers: [80, 38]
Generated Node #0,3,2: 74:[80, 38] Operation: 47-9=38
Exploring Operation: 80-47=33, Resulting Numbers: [9, 33]
Generated Node #0,3,3: 74:[9, 33] Operation: 80-47=33
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 74:[80, 38], Operations: ['31-22=9', '47-9=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,74 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 74:[9, 33], Operations: ['31-22=9', '80-47=33']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 9*33=297, Resulting Numbers: [297]
297,74 unequal: No Solution
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 74:[47, 71], Operations: ['31-22=9', '80-9=71']
Exploring Operation: 47+71=118, Resulting Numbers: [118]
118,74 unequal: No Solution
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 47*71=3337, Resulting Numbers: [3337]
3337,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 74:[80, 56], Operations: ['31-22=9', '47+9=56']
Exploring Operation: 80-56=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 80*56=4480, Resulting Numbers: [4480]
4480,74 unequal: No Solution
Exploring Operation: 80+56=136, Resulting Numbers: [136]
136,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[31, 80, 25], Operations: ['47-22=25']
Exploring Operation: 31+25=56, Resulting Numbers: [80, 56]
Generated Node #0,1,0: 74:[80, 56] Operation: 31+25=56
Exploring Operation: 31-25=6, Resulting Numbers: [80, 6]
Generated Node #0,1,1: 74:[80, 6] Operation: 31-25=6
Exploring Operation: 80-31=49, Resulting Numbers: [25, 49]
Generated Node #0,1,2: 74:[25, 49] Operation: 80-31=49
Exploring Operation: 80-25=55, Resulting Numbers: [31, 55]
Generated Node #0,1,3: 74:[31, 55] Operation: 80-25=55
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[80, 6], Operations: ['47-22=25', '31-25=6']
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,74 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,74 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[31, 47, 22, 80], Operations: []
Exploring Operation: 47-22=25, Resulting Numbers: [31, 80, 25]
Generated Node #0,1: 74:[31, 80, 25] Operation: 47-22=25
Moving to Node #0,1
Current State: 74:[31, 80, 25], Operations: ['47-22=25']
Exploring Operation: 31-25=6, Resulting Numbers: [80, 6]
Generated Node #0,1,1: 74:[80, 6] Operation: 31-25=6
Moving to Node #0,1,1
Current State: 74:[80, 6], Operations: ['47-22=25', '31-25=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.959201 | hs_4 | mult_heuristic |
[
77,
44,
57,
72
] | 18 | [
"77-44=33",
"72-57=15",
"33-15=18"
] | Current State: 18:[77, 44, 57, 72], Operations: []
Exploring Operation: 77-44=33, Resulting Numbers: [57, 72, 33]
Generated Node #2: [57, 72, 33] from Operation: 77-44=33
Current State: 18:[57, 72, 33], Operations: ['77-44=33']
Exploring Operation: 72-57=15, Resulting Numbers: [33, 15]
Generated Node #3: [33, 15] from Operation: 72-57=15
Current State: 18:[33, 15], Operations: ['77-44=33', '72-57=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[77, 44, 57, 72], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [44, 57, 5]
Generated Node #0,0: 18:[44, 57, 5] Operation: 77-72=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[44, 57, 5], Operations: ['77-72=5']
Exploring Operation: 57-44=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 18:[5, 13] Operation: 57-44=13
Moving to Node #0,0,0
Current State: 18:[5, 13], Operations: ['77-72=5', '57-44=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[77, 44, 57, 72], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [44, 57, 5]
Generated Node #0,0: 18:[44, 57, 5] Operation: 77-72=5
Moving to Node #0,0
Current State: 18:[44, 57, 5], Operations: ['77-72=5']
Exploring Operation: 57-44=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 18:[5, 13] Operation: 57-44=13
Moving to Node #0,0,0
Current State: 18:[5, 13], Operations: ['77-72=5', '57-44=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
27,
8,
49,
50
] | 20 | [
"27-8=19",
"50-49=1",
"19+1=20"
] | Current State: 20:[27, 8, 49, 50], Operations: []
Exploring Operation: 27-8=19, Resulting Numbers: [49, 50, 19]
Generated Node #2: [49, 50, 19] from Operation: 27-8=19
Current State: 20:[49, 50, 19], Operations: ['27-8=19']
Exploring Operation: 50-49=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 50-49=1
Current State: 20:[19, 1], Operations: ['27-8=19', '50-49=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[27, 8, 49, 50], Operations: []
Exploring Operation: 49-27=22, Resulting Numbers: [8, 50, 22]
Generated Node #0,0: 20:[8, 50, 22] Operation: 49-27=22
Exploring Operation: 50-27=23, Resulting Numbers: [8, 49, 23]
Generated Node #0,1: 20:[8, 49, 23] Operation: 50-27=23
Exploring Operation: 50-49=1, Resulting Numbers: [27, 8, 1]
Generated Node #0,2: 20:[27, 8, 1] Operation: 50-49=1
Exploring Operation: 49-8=41, Resulting Numbers: [27, 50, 41]
Generated Node #0,3: 20:[27, 50, 41] Operation: 49-8=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[27, 8, 1], Operations: ['50-49=1']
Exploring Operation: 8+1=9, Resulting Numbers: [27, 9]
Generated Node #0,2,0: 20:[27, 9] Operation: 8+1=9
Exploring Operation: 27-1=26, Resulting Numbers: [8, 26]
Generated Node #0,2,1: 20:[8, 26] Operation: 27-1=26
Exploring Operation: 27-8=19, Resulting Numbers: [1, 19]
Generated Node #0,2,2: 20:[1, 19] Operation: 27-8=19
Exploring Operation: 27*1=27, Resulting Numbers: [8, 27]
Generated Node #0,2,3: 20:[8, 27] Operation: 27*1=27
Moving to Node #0,2,2
Current State: 20:[1, 19], Operations: ['50-49=1', '27-8=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[27, 8, 49, 50], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [27, 8, 1]
Generated Node #0,2: 20:[27, 8, 1] Operation: 50-49=1
Moving to Node #0,2
Current State: 20:[27, 8, 1], Operations: ['50-49=1']
Exploring Operation: 27-8=19, Resulting Numbers: [1, 19]
Generated Node #0,2,2: 20:[1, 19] Operation: 27-8=19
Moving to Node #0,2,2
Current State: 20:[1, 19], Operations: ['50-49=1', '27-8=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
5,
32,
48,
36
] | 68 | [
"36-32=4",
"5*4=20",
"48+20=68"
] | Current State: 68:[5, 32, 48, 36], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [5, 48, 4]
Generated Node #2: [5, 48, 4] from Operation: 36-32=4
Current State: 68:[5, 48, 4], Operations: ['36-32=4']
Exploring Operation: 5*4=20, Resulting Numbers: [48, 20]
Generated Node #3: [48, 20] from Operation: 5*4=20
Current State: 68:[48, 20], Operations: ['36-32=4', '5*4=20']
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[5, 32, 48, 36], Operations: []
Exploring Operation: 48-36=12, Resulting Numbers: [5, 32, 12]
Generated Node #0,0: 68:[5, 32, 12] Operation: 48-36=12
Exploring Operation: 48-32=16, Resulting Numbers: [5, 36, 16]
Generated Node #0,1: 68:[5, 36, 16] Operation: 48-32=16
Moving to Node #0,1
Current State: 68:[5, 36, 16], Operations: ['48-32=16']
Exploring Operation: 36-5=31, Resulting Numbers: [16, 31]
Generated Node #0,1,0: 68:[16, 31] Operation: 36-5=31
Exploring Operation: 36-16=20, Resulting Numbers: [5, 20]
Generated Node #0,1,1: 68:[5, 20] Operation: 36-16=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[16, 31], Operations: ['48-32=16', '36-5=31']
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[5, 20], Operations: ['48-32=16', '36-16=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 68:[5, 32, 12], Operations: ['48-36=12']
Exploring Operation: 5+12=17, Resulting Numbers: [32, 17]
Generated Node #0,0,0: 68:[32, 17] Operation: 5+12=17
Exploring Operation: 32-12=20, Resulting Numbers: [5, 20]
Generated Node #0,0,1: 68:[5, 20] Operation: 32-12=20
Moving to Node #0,0,0
Current State: 68:[32, 17], Operations: ['48-36=12', '5+12=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[5, 20], Operations: ['48-36=12', '32-12=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,68 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
84,
4,
74,
94
] | 34 | [
"94-84=10",
"4*10=40",
"74-40=34"
] | Current State: 34:[84, 4, 74, 94], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [4, 74, 10]
Generated Node #2: [4, 74, 10] from Operation: 94-84=10
Current State: 34:[4, 74, 10], Operations: ['94-84=10']
Exploring Operation: 4*10=40, Resulting Numbers: [74, 40]
Generated Node #3: [74, 40] from Operation: 4*10=40
Current State: 34:[74, 40], Operations: ['94-84=10', '4*10=40']
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[84, 4, 74, 94], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [4, 74, 10]
Generated Node #0,0: 34:[4, 74, 10] Operation: 94-84=10
Exploring Operation: 84/4=21, Resulting Numbers: [74, 94, 21]
Generated Node #0,1: 34:[74, 94, 21] Operation: 84/4=21
Exploring Operation: 84-74=10, Resulting Numbers: [4, 94, 10]
Generated Node #0,2: 34:[4, 94, 10] Operation: 84-74=10
Exploring Operation: 94-74=20, Resulting Numbers: [84, 4, 20]
Generated Node #0,3: 34:[84, 4, 20] Operation: 94-74=20
Exploring Operation: 84-4=80, Resulting Numbers: [74, 94, 80]
Generated Node #0,4: 34:[74, 94, 80] Operation: 84-4=80
Moving to Node #0,0
Current State: 34:[4, 74, 10], Operations: ['94-84=10']
Exploring Operation: 74-10=64, Resulting Numbers: [4, 64]
Generated Node #0,0,0: 34:[4, 64] Operation: 74-10=64
Exploring Operation: 4+10=14, Resulting Numbers: [74, 14]
Generated Node #0,0,1: 34:[74, 14] Operation: 4+10=14
Exploring Operation: 10-4=6, Resulting Numbers: [74, 6]
Generated Node #0,0,2: 34:[74, 6] Operation: 10-4=6
Exploring Operation: 4*10=40, Resulting Numbers: [74, 40]
Generated Node #0,0,3: 34:[74, 40] Operation: 4*10=40
Exploring Operation: 74-4=70, Resulting Numbers: [10, 70]
Generated Node #0,0,4: 34:[10, 70] Operation: 74-4=70
Moving to Node #0,3
Current State: 34:[84, 4, 20], Operations: ['94-74=20']
Exploring Operation: 84/4=21, Resulting Numbers: [20, 21]
Generated Node #0,3,0: 34:[20, 21] Operation: 84/4=21
Exploring Operation: 84-4=80, Resulting Numbers: [20, 80]
Generated Node #0,3,1: 34:[20, 80] Operation: 84-4=80
Exploring Operation: 20-4=16, Resulting Numbers: [84, 16]
Generated Node #0,3,2: 34:[84, 16] Operation: 20-4=16
Exploring Operation: 20/4=5, Resulting Numbers: [84, 5]
Generated Node #0,3,3: 34:[84, 5] Operation: 20/4=5
Exploring Operation: 84-20=64, Resulting Numbers: [4, 64]
Generated Node #0,3,4: 34:[4, 64] Operation: 84-20=64
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 34:[20, 21], Operations: ['94-74=20', '84/4=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,34 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,34 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,34 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 #0,3,4
Current State: 34:[4, 64], Operations: ['94-74=20', '84-20=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 4*64=256, Resulting Numbers: [256]
256,34 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,34 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:[20, 80], Operations: ['94-74=20', '84-4=80']
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 20*80=1600, Resulting Numbers: [1600]
1600,34 unequal: No Solution
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 20+80=100, Resulting Numbers: [100]
100,34 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:[84, 16], Operations: ['94-74=20', '20-4=16']
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,34 unequal: No Solution
Exploring Operation: 84*16=1344, Resulting Numbers: [1344]
1344,34 unequal: No Solution
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,34 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:[84, 5], Operations: ['94-74=20', '20/4=5']
Exploring Operation: 84*5=420, Resulting Numbers: [420]
420,34 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,34 unequal: No Solution
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,34 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: 34:[4, 94, 10], Operations: ['84-74=10']
Exploring Operation: 4+10=14, Resulting Numbers: [94, 14]
Generated Node #0,2,0: 34:[94, 14] Operation: 4+10=14
Exploring Operation: 94-10=84, Resulting Numbers: [4, 84]
Generated Node #0,2,1: 34:[4, 84] Operation: 94-10=84
Exploring Operation: 94-4=90, Resulting Numbers: [10, 90]
Generated Node #0,2,2: 34:[10, 90] Operation: 94-4=90
Exploring Operation: 10-4=6, Resulting Numbers: [94, 6]
Generated Node #0,2,3: 34:[94, 6] Operation: 10-4=6
Exploring Operation: 4*10=40, Resulting Numbers: [94, 40]
Generated Node #0,2,4: 34:[94, 40] Operation: 4*10=40
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 34:[4, 84], Operations: ['84-74=10', '94-10=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 4+84=88, Resulting Numbers: [88]
88,34 unequal: No Solution
Exploring Operation: 4*84=336, Resulting Numbers: [336]
336,34 unequal: No Solution
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,34 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:[94, 14], Operations: ['84-74=10', '4+10=14']
Exploring Operation: 94+14=108, Resulting Numbers: [108]
108,34 unequal: No Solution
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,34 unequal: No Solution
Exploring Operation: 94*14=1316, Resulting Numbers: [1316]
1316,34 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:[10, 90], Operations: ['84-74=10', '94-4=90']
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,34 unequal: No Solution
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,34 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,34 unequal: No Solution
Exploring Operation: 10*90=900, Resulting Numbers: [900]
900,34 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 #0,2,3
Current State: 34:[94, 6], Operations: ['84-74=10', '10-4=6']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,34 unequal: No Solution
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,34 unequal: No Solution
Exploring Operation: 94*6=564, Resulting Numbers: [564]
564,34 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:[94, 40], Operations: ['84-74=10', '4*10=40']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,34 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,34 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:[74, 94, 21], Operations: ['84/4=21']
Exploring Operation: 94+21=115, Resulting Numbers: [74, 115]
Generated Node #0,1,0: 34:[74, 115] Operation: 94+21=115
Exploring Operation: 94-74=20, Resulting Numbers: [21, 20]
Generated Node #0,1,1: 34:[21, 20] Operation: 94-74=20
Exploring Operation: 94-21=73, Resulting Numbers: [74, 73]
Generated Node #0,1,2: 34:[74, 73] Operation: 94-21=73
Exploring Operation: 74-21=53, Resulting Numbers: [94, 53]
Generated Node #0,1,3: 34:[94, 53] Operation: 74-21=53
Exploring Operation: 74+21=95, Resulting Numbers: [94, 95]
Generated Node #0,1,4: 34:[94, 95] Operation: 74+21=95
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[21, 20], Operations: ['84/4=21', '94-74=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,34 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,34 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 #0,1,2
Current State: 34:[74, 73], Operations: ['84/4=21', '94-21=73']
Exploring Operation: 74-73=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 74*73=5402, Resulting Numbers: [5402]
5402,34 unequal: No Solution
Exploring Operation: 74+73=147, Resulting Numbers: [147]
147,34 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 #0,1,3
Current State: 34:[94, 53], Operations: ['84/4=21', '74-21=53']
Exploring Operation: 94+53=147, Resulting Numbers: [147]
147,34 unequal: No Solution
Exploring Operation: 94*53=4982, Resulting Numbers: [4982]
4982,34 unequal: No Solution
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,34 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 #0,1,0
Current State: 34:[74, 115], Operations: ['84/4=21', '94+21=115']
Exploring Operation: 74+115=189, Resulting Numbers: [189]
189,34 unequal: No Solution
Exploring Operation: 74*115=8510, Resulting Numbers: [8510]
8510,34 unequal: No Solution
Exploring Operation: 115-74=41, Resulting Numbers: [41]
41,34 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 #0,1,4
Current State: 34:[94, 95], Operations: ['84/4=21', '74+21=95']
Exploring Operation: 94+95=189, Resulting Numbers: [189]
189,34 unequal: No Solution
Exploring Operation: 95-94=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 94*95=8930, Resulting Numbers: [8930]
8930,34 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:[74, 94, 80], Operations: ['84-4=80']
Exploring Operation: 80-74=6, Resulting Numbers: [94, 6]
Generated Node #0,4,0: 34:[94, 6] Operation: 80-74=6
Exploring Operation: 94-80=14, Resulting Numbers: [74, 14]
Generated Node #0,4,1: 34:[74, 14] Operation: 94-80=14
Exploring Operation: 94-74=20, Resulting Numbers: [80, 20]
Generated Node #0,4,2: 34:[80, 20] Operation: 94-74=20
Exploring Operation: 74+94=168, Resulting Numbers: [80, 168]
Generated Node #0,4,3: 34:[80, 168] Operation: 74+94=168
Exploring Operation: 74+80=154, Resulting Numbers: [94, 154]
Generated Node #0,4,4: 34:[94, 154] Operation: 74+80=154
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 34:[74, 14], Operations: ['84-4=80', '94-80=14']
Exploring Operation: 74*14=1036, Resulting Numbers: [1036]
1036,34 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,34 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:[80, 20], Operations: ['84-4=80', '94-74=20']
Exploring Operation: 80*20=1600, Resulting Numbers: [1600]
1600,34 unequal: No Solution
Exploring Operation: 80+20=100, Resulting Numbers: [100]
100,34 unequal: No Solution
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,34 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:[94, 6], Operations: ['84-4=80', '80-74=6']
Exploring Operation: 94*6=564, Resulting Numbers: [564]
564,34 unequal: No Solution
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,34 unequal: No Solution
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,34 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:[80, 168], Operations: ['84-4=80', '74+94=168']
Exploring Operation: 80+168=248, Resulting Numbers: [248]
248,34 unequal: No Solution
Exploring Operation: 168-80=88, Resulting Numbers: [88]
88,34 unequal: No Solution
Exploring Operation: 80*168=13440, Resulting Numbers: [13440]
13440,34 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:[94, 154], Operations: ['84-4=80', '74+80=154']
Exploring Operation: 94*154=14476, Resulting Numbers: [14476]
14476,34 unequal: No Solution
Exploring Operation: 94+154=248, Resulting Numbers: [248]
248,34 unequal: No Solution
Exploring Operation: 154-94=60, Resulting Numbers: [60]
60,34 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: 34:[4, 64], Operations: ['94-84=10', '74-10=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 4*64=256, Resulting Numbers: [256]
256,34 unequal: No Solution
Moving to Node #0,0,4
Current State: 34:[10, 70], Operations: ['94-84=10', '74-4=70']
Exploring Operation: 10*70=700, Resulting Numbers: [700]
700,34 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,34 unequal: No Solution
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[74, 14], Operations: ['94-84=10', '4+10=14']
Exploring Operation: 74+14=88, Resulting Numbers: [88]
88,34 unequal: No Solution
Exploring Operation: 74*14=1036, Resulting Numbers: [1036]
1036,34 unequal: No Solution
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[74, 6], Operations: ['94-84=10', '10-4=6']
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,34 unequal: No Solution
Exploring Operation: 74*6=444, Resulting Numbers: [444]
444,34 unequal: No Solution
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[74, 40], Operations: ['94-84=10', '4*10=40']
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,34 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[84, 4, 74, 94], Operations: []
Exploring Operation: 94-84=10, Resulting Numbers: [4, 74, 10]
Generated Node #0,0: 34:[4, 74, 10] Operation: 94-84=10
Moving to Node #0,0
Current State: 34:[4, 74, 10], Operations: ['94-84=10']
Exploring Operation: 4*10=40, Resulting Numbers: [74, 40]
Generated Node #0,0,3: 34:[74, 40] Operation: 4*10=40
Moving to Node #0,0,3
Current State: 34:[74, 40], Operations: ['94-84=10', '4*10=40']
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.900174 | hs_5 | sum_heuristic |
[
97,
95,
64,
26
] | 58 | [
"97-95=2",
"64/2=32",
"26+32=58"
] | Current State: 58:[97, 95, 64, 26], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [64, 26, 2]
Generated Node #2: [64, 26, 2] from Operation: 97-95=2
Current State: 58:[64, 26, 2], Operations: ['97-95=2']
Exploring Operation: 64/2=32, Resulting Numbers: [26, 32]
Generated Node #3: [26, 32] from Operation: 64/2=32
Current State: 58:[26, 32], Operations: ['97-95=2', '64/2=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[97, 95, 64, 26], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [64, 26, 2]
Generated Node #0,0: 58:[64, 26, 2] Operation: 97-95=2
Exploring Operation: 97-64=33, Resulting Numbers: [95, 26, 33]
Generated Node #0,1: 58:[95, 26, 33] Operation: 97-64=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[64, 26, 2], Operations: ['97-95=2']
Exploring Operation: 64/2=32, Resulting Numbers: [26, 32]
Generated Node #0,0,0: 58:[26, 32] Operation: 64/2=32
Exploring Operation: 64-2=62, Resulting Numbers: [26, 62]
Generated Node #0,0,1: 58:[26, 62] Operation: 64-2=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[26, 32], Operations: ['97-95=2', '64/2=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[97, 95, 64, 26], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [64, 26, 2]
Generated Node #0,0: 58:[64, 26, 2] Operation: 97-95=2
Moving to Node #0,0
Current State: 58:[64, 26, 2], Operations: ['97-95=2']
Exploring Operation: 64/2=32, Resulting Numbers: [26, 32]
Generated Node #0,0,0: 58:[26, 32] Operation: 64/2=32
Moving to Node #0,0,0
Current State: 58:[26, 32], Operations: ['97-95=2', '64/2=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
79,
12,
23,
92
] | 95 | [
"79+12=91",
"92/23=4",
"91+4=95"
] | Current State: 95:[79, 12, 23, 92], Operations: []
Exploring Operation: 79+12=91, Resulting Numbers: [23, 92, 91]
Generated Node #2: [23, 92, 91] from Operation: 79+12=91
Current State: 95:[23, 92, 91], Operations: ['79+12=91']
Exploring Operation: 92/23=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 92/23=4
Current State: 95:[91, 4], Operations: ['79+12=91', '92/23=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[79, 12, 23, 92], Operations: []
Exploring Operation: 79+12=91, Resulting Numbers: [23, 92, 91]
Generated Node #0,0: 95:[23, 92, 91] Operation: 79+12=91
Exploring Operation: 79+23=102, Resulting Numbers: [12, 92, 102]
Generated Node #0,1: 95:[12, 92, 102] Operation: 79+23=102
Exploring Operation: 92-79=13, Resulting Numbers: [12, 23, 13]
Generated Node #0,2: 95:[12, 23, 13] Operation: 92-79=13
Moving to Node #0,0
Current State: 95:[23, 92, 91], Operations: ['79+12=91']
Exploring Operation: 92/23=4, Resulting Numbers: [91, 4]
Generated Node #0,0,0: 95:[91, 4] Operation: 92/23=4
Exploring Operation: 92-91=1, Resulting Numbers: [23, 1]
Generated Node #0,0,1: 95:[23, 1] Operation: 92-91=1
Exploring Operation: 23+91=114, Resulting Numbers: [92, 114]
Generated Node #0,0,2: 95:[92, 114] Operation: 23+91=114
Moving to Node #0,1
Current State: 95:[12, 92, 102], Operations: ['79+23=102']
Exploring Operation: 102-92=10, Resulting Numbers: [12, 10]
Generated Node #0,1,0: 95:[12, 10] Operation: 102-92=10
Exploring Operation: 102-12=90, Resulting Numbers: [92, 90]
Generated Node #0,1,1: 95:[92, 90] Operation: 102-12=90
Exploring Operation: 12+92=104, Resulting Numbers: [102, 104]
Generated Node #0,1,2: 95:[102, 104] Operation: 12+92=104
Moving to Node #0,2
Current State: 95:[12, 23, 13], Operations: ['92-79=13']
Exploring Operation: 13-12=1, Resulting Numbers: [23, 1]
Generated Node #0,2,0: 95:[23, 1] Operation: 13-12=1
Exploring Operation: 12+13=25, Resulting Numbers: [23, 25]
Generated Node #0,2,1: 95:[23, 25] Operation: 12+13=25
Exploring Operation: 23-12=11, Resulting Numbers: [13, 11]
Generated Node #0,2,2: 95:[13, 11] Operation: 23-12=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[23, 1], Operations: ['92-79=13', '13-12=1']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,95 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 #0,2,1
Current State: 95:[23, 25], Operations: ['92-79=13', '12+13=25']
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,95 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,95 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:[13, 11], Operations: ['92-79=13', '23-12=11']
Exploring Operation: 13*11=143, Resulting Numbers: [143]
143,95 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,95 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: 95:[91, 4], Operations: ['79+12=91', '92/23=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[79, 12, 23, 92], Operations: []
Exploring Operation: 79+12=91, Resulting Numbers: [23, 92, 91]
Generated Node #0,0: 95:[23, 92, 91] Operation: 79+12=91
Moving to Node #0,0
Current State: 95:[23, 92, 91], Operations: ['79+12=91']
Exploring Operation: 92/23=4, Resulting Numbers: [91, 4]
Generated Node #0,0,0: 95:[91, 4] Operation: 92/23=4
Moving to Node #0,0,0
Current State: 95:[91, 4], Operations: ['79+12=91', '92/23=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
31,
6,
12,
45
] | 74 | [
"31+45=76",
"12/6=2",
"76-2=74"
] | Current State: 74:[31, 6, 12, 45], Operations: []
Exploring Operation: 31+45=76, Resulting Numbers: [6, 12, 76]
Generated Node #2: [6, 12, 76] from Operation: 31+45=76
Current State: 74:[6, 12, 76], Operations: ['31+45=76']
Exploring Operation: 12/6=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 12/6=2
Current State: 74:[76, 2], Operations: ['31+45=76', '12/6=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[31, 6, 12, 45], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [31, 45, 2]
Generated Node #0,0: 74:[31, 45, 2] Operation: 12/6=2
Exploring Operation: 45-12=33, Resulting Numbers: [31, 6, 33]
Generated Node #0,1: 74:[31, 6, 33] Operation: 45-12=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[31, 45, 2], Operations: ['12/6=2']
Exploring Operation: 45-31=14, Resulting Numbers: [2, 14]
Generated Node #0,0,0: 74:[2, 14] Operation: 45-31=14
Exploring Operation: 31+45=76, Resulting Numbers: [2, 76]
Generated Node #0,0,1: 74:[2, 76] Operation: 31+45=76
Moving to Node #0,0,1
Current State: 74:[2, 76], Operations: ['12/6=2', '31+45=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[31, 6, 12, 45], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [31, 45, 2]
Generated Node #0,0: 74:[31, 45, 2] Operation: 12/6=2
Moving to Node #0,0
Current State: 74:[31, 45, 2], Operations: ['12/6=2']
Exploring Operation: 31+45=76, Resulting Numbers: [2, 76]
Generated Node #0,0,1: 74:[2, 76] Operation: 31+45=76
Moving to Node #0,0,1
Current State: 74:[2, 76], Operations: ['12/6=2', '31+45=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
69,
68,
2,
67
] | 65 | [
"69-68=1",
"67-2=65",
"1*65=65"
] | Current State: 65:[69, 68, 2, 67], Operations: []
Exploring Operation: 69-68=1, Resulting Numbers: [2, 67, 1]
Generated Node #2: [2, 67, 1] from Operation: 69-68=1
Current State: 65:[2, 67, 1], Operations: ['69-68=1']
Exploring Operation: 67-2=65, Resulting Numbers: [1, 65]
Generated Node #3: [1, 65] from Operation: 67-2=65
Current State: 65:[1, 65], Operations: ['69-68=1', '67-2=65']
Exploring Operation: 1*65=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[69, 68, 2, 67], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [69, 68, 65]
Generated Node #0,0: 65:[69, 68, 65] Operation: 67-2=65
Exploring Operation: 68-2=66, Resulting Numbers: [69, 67, 66]
Generated Node #0,1: 65:[69, 67, 66] Operation: 68-2=66
Exploring Operation: 69-67=2, Resulting Numbers: [68, 2, 2]
Generated Node #0,2: 65:[68, 2, 2] Operation: 69-67=2
Exploring Operation: 69-68=1, Resulting Numbers: [2, 67, 1]
Generated Node #0,3: 65:[2, 67, 1] Operation: 69-68=1
Exploring Operation: 69-2=67, Resulting Numbers: [68, 67, 67]
Generated Node #0,4: 65:[68, 67, 67] Operation: 69-2=67
Moving to Node #0,0
Current State: 65:[69, 68, 65], Operations: ['67-2=65']
Exploring Operation: 69-65=4, Resulting Numbers: [68, 4]
Generated Node #0,0,0: 65:[68, 4] Operation: 69-65=4
Exploring Operation: 68-65=3, Resulting Numbers: [69, 3]
Generated Node #0,0,1: 65:[69, 3] Operation: 68-65=3
Exploring Operation: 69+65=134, Resulting Numbers: [68, 134]
Generated Node #0,0,2: 65:[68, 134] Operation: 69+65=134
Exploring Operation: 69+68=137, Resulting Numbers: [65, 137]
Generated Node #0,0,3: 65:[65, 137] Operation: 69+68=137
Exploring Operation: 69-68=1, Resulting Numbers: [65, 1]
Generated Node #0,0,4: 65:[65, 1] Operation: 69-68=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[68, 4], Operations: ['67-2=65', '69-65=4']
Exploring Operation: 68*4=272, Resulting Numbers: [272]
272,65 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,65 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 65:[65, 1], Operations: ['67-2=65', '69-68=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[69, 68, 2, 67], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [69, 68, 65]
Generated Node #0,0: 65:[69, 68, 65] Operation: 67-2=65
Moving to Node #0,0
Current State: 65:[69, 68, 65], Operations: ['67-2=65']
Exploring Operation: 69-68=1, Resulting Numbers: [65, 1]
Generated Node #0,0,4: 65:[65, 1] Operation: 69-68=1
Moving to Node #0,0,4
Current State: 65:[65, 1], Operations: ['67-2=65', '69-68=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
99,
43,
83,
39
] | 100 | [
"99-43=56",
"83-39=44",
"56+44=100"
] | Current State: 100:[99, 43, 83, 39], Operations: []
Exploring Operation: 99-43=56, Resulting Numbers: [83, 39, 56]
Generated Node #2: [83, 39, 56] from Operation: 99-43=56
Current State: 100:[83, 39, 56], Operations: ['99-43=56']
Exploring Operation: 83-39=44, Resulting Numbers: [56, 44]
Generated Node #3: [56, 44] from Operation: 83-39=44
Current State: 100:[56, 44], Operations: ['99-43=56', '83-39=44']
Exploring Operation: 56+44=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[99, 43, 83, 39], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [99, 83, 4]
Generated Node #0,0: 100:[99, 83, 4] Operation: 43-39=4
Exploring Operation: 99-83=16, Resulting Numbers: [43, 39, 16]
Generated Node #0,1: 100:[43, 39, 16] Operation: 99-83=16
Exploring Operation: 83-39=44, Resulting Numbers: [99, 43, 44]
Generated Node #0,2: 100:[99, 43, 44] Operation: 83-39=44
Moving to Node #0,2
Current State: 100:[99, 43, 44], Operations: ['83-39=44']
Exploring Operation: 99-43=56, Resulting Numbers: [44, 56]
Generated Node #0,2,0: 100:[44, 56] Operation: 99-43=56
Exploring Operation: 44-43=1, Resulting Numbers: [99, 1]
Generated Node #0,2,1: 100:[99, 1] Operation: 44-43=1
Exploring Operation: 99-44=55, Resulting Numbers: [43, 55]
Generated Node #0,2,2: 100:[43, 55] Operation: 99-44=55
Moving to Node #0,0
Current State: 100:[99, 83, 4], Operations: ['43-39=4']
Exploring Operation: 99-83=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 100:[4, 16] Operation: 99-83=16
Exploring Operation: 83+4=87, Resulting Numbers: [99, 87]
Generated Node #0,0,1: 100:[99, 87] Operation: 83+4=87
Exploring Operation: 99+4=103, Resulting Numbers: [83, 103]
Generated Node #0,0,2: 100:[83, 103] Operation: 99+4=103
Moving to Node #0,1
Current State: 100:[43, 39, 16], Operations: ['99-83=16']
Exploring Operation: 39-16=23, Resulting Numbers: [43, 23]
Generated Node #0,1,0: 100:[43, 23] Operation: 39-16=23
Exploring Operation: 43-39=4, Resulting Numbers: [16, 4]
Generated Node #0,1,1: 100:[16, 4] Operation: 43-39=4
Exploring Operation: 39+16=55, Resulting Numbers: [43, 55]
Generated Node #0,1,2: 100:[43, 55] Operation: 39+16=55
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[16, 4], Operations: ['99-83=16', '43-39=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,100 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 #0,1,0
Current State: 100:[43, 23], Operations: ['99-83=16', '39-16=23']
Exploring Operation: 43*23=989, Resulting Numbers: [989]
989,100 unequal: No Solution
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,100 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,100 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:[43, 55], Operations: ['99-83=16', '39+16=55']
Exploring Operation: 43+55=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 43*55=2365, Resulting Numbers: [2365]
2365,100 unequal: No Solution
Exploring Operation: 55-43=12, Resulting Numbers: [12]
12,100 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: 100:[99, 1], Operations: ['83-39=44', '44-43=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[99, 43, 83, 39], Operations: []
Exploring Operation: 83-39=44, Resulting Numbers: [99, 43, 44]
Generated Node #0,2: 100:[99, 43, 44] Operation: 83-39=44
Moving to Node #0,2
Current State: 100:[99, 43, 44], Operations: ['83-39=44']
Exploring Operation: 44-43=1, Resulting Numbers: [99, 1]
Generated Node #0,2,1: 100:[99, 1] Operation: 44-43=1
Moving to Node #0,2,1
Current State: 100:[99, 1], Operations: ['83-39=44', '44-43=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
[
22,
28,
21,
80
] | 38 | [
"21*80=1680",
"1680/28=60",
"60-22=38"
] | Current State: 38:[22, 28, 21, 80], Operations: []
Exploring Operation: 21*80=1680, Resulting Numbers: [22, 28, 1680]
Generated Node #2: [22, 28, 1680] from Operation: 21*80=1680
Current State: 38:[22, 28, 1680], Operations: ['21*80=1680']
Exploring Operation: 1680/28=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 1680/28=60
Current State: 38:[22, 60], Operations: ['21*80=1680', '1680/28=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[22, 28, 21, 80], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [22, 21, 52]
Generated Node #0,0: 38:[22, 21, 52] Operation: 80-28=52
Exploring Operation: 80-22=58, Resulting Numbers: [28, 21, 58]
Generated Node #0,1: 38:[28, 21, 58] Operation: 80-22=58
Exploring Operation: 80-21=59, Resulting Numbers: [22, 28, 59]
Generated Node #0,2: 38:[22, 28, 59] Operation: 80-21=59
Moving to Node #0,0
Current State: 38:[22, 21, 52], Operations: ['80-28=52']
Exploring Operation: 52-22=30, Resulting Numbers: [21, 30]
Generated Node #0,0,0: 38:[21, 30] Operation: 52-22=30
Exploring Operation: 22-21=1, Resulting Numbers: [52, 1]
Generated Node #0,0,1: 38:[52, 1] Operation: 22-21=1
Exploring Operation: 52-21=31, Resulting Numbers: [22, 31]
Generated Node #0,0,2: 38:[22, 31] Operation: 52-21=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[21, 30], Operations: ['80-28=52', '52-22=30']
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,38 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[22, 31], Operations: ['80-28=52', '52-21=31']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[52, 1], Operations: ['80-28=52', '22-21=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 38:[28, 21, 58], Operations: ['80-22=58']
Exploring Operation: 28-21=7, Resulting Numbers: [58, 7]
Generated Node #0,1,0: 38:[58, 7] Operation: 28-21=7
Exploring Operation: 58-21=37, Resulting Numbers: [28, 37]
Generated Node #0,1,1: 38:[28, 37] Operation: 58-21=37
Exploring Operation: 58-28=30, Resulting Numbers: [21, 30]
Generated Node #0,1,2: 38:[21, 30] Operation: 58-28=30
Moving to Node #0,2
Current State: 38:[22, 28, 59], Operations: ['80-21=59']
Exploring Operation: 59-22=37, Resulting Numbers: [28, 37]
Generated Node #0,2,0: 38:[28, 37] Operation: 59-22=37
Exploring Operation: 59-28=31, Resulting Numbers: [22, 31]
Generated Node #0,2,1: 38:[22, 31] Operation: 59-28=31
Exploring Operation: 28-22=6, Resulting Numbers: [59, 6]
Generated Node #0,2,2: 38:[59, 6] Operation: 28-22=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[28, 37], Operations: ['80-21=59', '59-22=37']
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,38 unequal: No Solution
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,38 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[22, 31], Operations: ['80-21=59', '59-28=31']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[59, 6], Operations: ['80-21=59', '28-22=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,38 unequal: No Solution
Exploring Operation: 59*6=354, Resulting Numbers: [354]
354,38 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 38:[28, 37], Operations: ['80-22=58', '58-21=37']
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,38 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,38 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[21, 30], Operations: ['80-22=58', '58-28=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[58, 7], Operations: ['80-22=58', '28-21=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,38 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,38 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
52,
80,
66,
63
] | 74 | [
"63-52=11",
"66/11=6",
"80-6=74"
] | Current State: 74:[52, 80, 66, 63], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [80, 66, 11]
Generated Node #2: [80, 66, 11] from Operation: 63-52=11
Current State: 74:[80, 66, 11], Operations: ['63-52=11']
Exploring Operation: 66/11=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 66/11=6
Current State: 74:[80, 6], Operations: ['63-52=11', '66/11=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[52, 80, 66, 63], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [52, 80, 3]
Generated Node #0,0: 74:[52, 80, 3] Operation: 66-63=3
Exploring Operation: 63-52=11, Resulting Numbers: [80, 66, 11]
Generated Node #0,1: 74:[80, 66, 11] Operation: 63-52=11
Moving to Node #0,0
Current State: 74:[52, 80, 3], Operations: ['66-63=3']
Exploring Operation: 52-3=49, Resulting Numbers: [80, 49]
Generated Node #0,0,0: 74:[80, 49] Operation: 52-3=49
Exploring Operation: 80-52=28, Resulting Numbers: [3, 28]
Generated Node #0,0,1: 74:[3, 28] Operation: 80-52=28
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[3, 28], Operations: ['66-63=3', '80-52=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[80, 49], Operations: ['66-63=3', '52-3=49']
Exploring Operation: 80+49=129, Resulting Numbers: [129]
129,74 unequal: No Solution
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,74 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: 74:[80, 66, 11], Operations: ['63-52=11']
Exploring Operation: 66+11=77, Resulting Numbers: [80, 77]
Generated Node #0,1,0: 74:[80, 77] Operation: 66+11=77
Exploring Operation: 66/11=6, Resulting Numbers: [80, 6]
Generated Node #0,1,1: 74:[80, 6] Operation: 66/11=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[80, 77], Operations: ['63-52=11', '66+11=77']
Exploring Operation: 80+77=157, Resulting Numbers: [157]
157,74 unequal: No Solution
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[80, 6], Operations: ['63-52=11', '66/11=6']
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,74 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[52, 80, 66, 63], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [80, 66, 11]
Generated Node #0,1: 74:[80, 66, 11] Operation: 63-52=11
Moving to Node #0,1
Current State: 74:[80, 66, 11], Operations: ['63-52=11']
Exploring Operation: 66/11=6, Resulting Numbers: [80, 6]
Generated Node #0,1,1: 74:[80, 6] Operation: 66/11=6
Moving to Node #0,1,1
Current State: 74:[80, 6], Operations: ['63-52=11', '66/11=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | sum_heuristic |
[
92,
27,
27,
81
] | 96 | [
"27+81=108",
"108/27=4",
"92+4=96"
] | Current State: 96:[92, 27, 27, 81], Operations: []
Exploring Operation: 27+81=108, Resulting Numbers: [92, 108]
Generated Node #2: [92, 108] from Operation: 27+81=108
Current State: 96:[92, 108], Operations: ['27+81=108']
Exploring Operation: 108/27=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 108/27=4
Current State: 96:[92, 4], Operations: ['27+81=108', '108/27=4']
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[92, 27, 27, 81], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [27, 27, 11]
Generated Node #0,0: 96:[27, 27, 11] Operation: 92-81=11
Exploring Operation: 81-27=54, Resulting Numbers: [92, 27, 54]
Generated Node #0,1: 96:[92, 27, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [92, 27, 3]
Generated Node #0,2: 96:[92, 27, 3] Operation: 81/27=3
Exploring Operation: 81-27=54, Resulting Numbers: [92, 27, 54]
Generated Node #0,3: 96:[92, 27, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [92, 27, 3]
Generated Node #0,4: 96:[92, 27, 3] Operation: 81/27=3
Moving to Node #0,0
Current State: 96:[27, 27, 11], Operations: ['92-81=11']
Exploring Operation: 27-27=0, Resulting Numbers: [11, 0]
Generated Node #0,0,0: 96:[11, 0] Operation: 27-27=0
Exploring Operation: 27/27=1, Resulting Numbers: [11, 1]
Generated Node #0,0,1: 96:[11, 1] Operation: 27/27=1
Exploring Operation: 27-11=16, Resulting Numbers: [27, 16]
Generated Node #0,0,2: 96:[27, 16] Operation: 27-11=16
Exploring Operation: 27-11=16, Resulting Numbers: [27, 16]
Generated Node #0,0,3: 96:[27, 16] Operation: 27-11=16
Exploring Operation: 27+27=54, Resulting Numbers: [11, 54]
Generated Node #0,0,4: 96:[11, 54] Operation: 27+27=54
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[11, 1], Operations: ['92-81=11', '27/27=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,96 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[11, 0], Operations: ['92-81=11', '27-27=0']
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 11*0=0, Resulting Numbers: [0]
0,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[27, 16], Operations: ['92-81=11', '27-11=16']
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,96 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,96 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 #0,0,3
Current State: 96:[27, 16], Operations: ['92-81=11', '27-11=16']
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,96 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 #0,0,4
Current State: 96:[11, 54], Operations: ['92-81=11', '27+27=54']
Exploring Operation: 11*54=594, Resulting Numbers: [594]
594,96 unequal: No Solution
Exploring Operation: 11+54=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,96 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: 96:[92, 27, 3], Operations: ['81/27=3']
Exploring Operation: 92+3=95, Resulting Numbers: [27, 95]
Generated Node #0,4,0: 96:[27, 95] Operation: 92+3=95
Exploring Operation: 27+3=30, Resulting Numbers: [92, 30]
Generated Node #0,4,1: 96:[92, 30] Operation: 27+3=30
Exploring Operation: 27/3=9, Resulting Numbers: [92, 9]
Generated Node #0,4,2: 96:[92, 9] Operation: 27/3=9
Exploring Operation: 92-3=89, Resulting Numbers: [27, 89]
Generated Node #0,4,3: 96:[27, 89] Operation: 92-3=89
Exploring Operation: 27-3=24, Resulting Numbers: [92, 24]
Generated Node #0,4,4: 96:[92, 24] Operation: 27-3=24
Moving to Node #0,2
Current State: 96:[92, 27, 3], Operations: ['81/27=3']
Exploring Operation: 27/3=9, Resulting Numbers: [92, 9]
Generated Node #0,2,0: 96:[92, 9] Operation: 27/3=9
Exploring Operation: 27-3=24, Resulting Numbers: [92, 24]
Generated Node #0,2,1: 96:[92, 24] Operation: 27-3=24
Exploring Operation: 27+3=30, Resulting Numbers: [92, 30]
Generated Node #0,2,2: 96:[92, 30] Operation: 27+3=30
Exploring Operation: 92-3=89, Resulting Numbers: [27, 89]
Generated Node #0,2,3: 96:[27, 89] Operation: 92-3=89
Exploring Operation: 92+3=95, Resulting Numbers: [27, 95]
Generated Node #0,2,4: 96:[27, 95] Operation: 92+3=95
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 96:[92, 24], Operations: ['81/27=3', '27-3=24']
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,96 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 #0,2,4
Current State: 96:[27, 95], Operations: ['81/27=3', '92+3=95']
Exploring Operation: 27*95=2565, Resulting Numbers: [2565]
2565,96 unequal: No Solution
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 27+95=122, Resulting Numbers: [122]
122,96 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 #0,2,0
Current State: 96:[92, 9], Operations: ['81/27=3', '27/3=9']
Exploring Operation: 92+9=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 92*9=828, Resulting Numbers: [828]
828,96 unequal: No Solution
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,96 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 #0,2,2
Current State: 96:[92, 30], Operations: ['81/27=3', '27+3=30']
Exploring Operation: 92+30=122, Resulting Numbers: [122]
122,96 unequal: No Solution
Exploring Operation: 92*30=2760, Resulting Numbers: [2760]
2760,96 unequal: No Solution
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,96 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 #0,2,3
Current State: 96:[27, 89], Operations: ['81/27=3', '92-3=89']
Exploring Operation: 27*89=2403, Resulting Numbers: [2403]
2403,96 unequal: No Solution
Exploring Operation: 27+89=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 96:[92, 27, 54], Operations: ['81-27=54']
Exploring Operation: 92-54=38, Resulting Numbers: [27, 38]
Generated Node #0,1,0: 96:[27, 38] Operation: 92-54=38
Exploring Operation: 54/27=2, Resulting Numbers: [92, 2]
Generated Node #0,1,1: 96:[92, 2] Operation: 54/27=2
Exploring Operation: 92-27=65, Resulting Numbers: [54, 65]
Generated Node #0,1,2: 96:[54, 65] Operation: 92-27=65
Exploring Operation: 54-27=27, Resulting Numbers: [92, 27]
Generated Node #0,1,3: 96:[92, 27] Operation: 54-27=27
Exploring Operation: 27+54=81, Resulting Numbers: [92, 81]
Generated Node #0,1,4: 96:[92, 81] Operation: 27+54=81
Moving to Node #0,3
Current State: 96:[92, 27, 54], Operations: ['81-27=54']
Exploring Operation: 92-27=65, Resulting Numbers: [54, 65]
Generated Node #0,3,0: 96:[54, 65] Operation: 92-27=65
Exploring Operation: 54/27=2, Resulting Numbers: [92, 2]
Generated Node #0,3,1: 96:[92, 2] Operation: 54/27=2
Exploring Operation: 92-54=38, Resulting Numbers: [27, 38]
Generated Node #0,3,2: 96:[27, 38] Operation: 92-54=38
Exploring Operation: 54-27=27, Resulting Numbers: [92, 27]
Generated Node #0,3,3: 96:[92, 27] Operation: 54-27=27
Exploring Operation: 27+54=81, Resulting Numbers: [92, 81]
Generated Node #0,3,4: 96:[92, 81] Operation: 27+54=81
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 96:[92, 2], Operations: ['81-27=54', '54/27=2']
Exploring Operation: 92*2=184, Resulting Numbers: [184]
184,96 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,96 unequal: No Solution
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,96 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,96 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 #0,3,3
Current State: 96:[92, 27], Operations: ['81-27=54', '54-27=27']
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 92+27=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 92*27=2484, Resulting Numbers: [2484]
2484,96 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 #0,3,2
Current State: 96:[27, 38], Operations: ['81-27=54', '92-54=38']
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 27+38=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 27*38=1026, Resulting Numbers: [1026]
1026,96 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 #0,3,4
Current State: 96:[92, 81], Operations: ['81-27=54', '27+54=81']
Exploring Operation: 92+81=173, Resulting Numbers: [173]
173,96 unequal: No Solution
Exploring Operation: 92*81=7452, Resulting Numbers: [7452]
7452,96 unequal: No Solution
Exploring Operation: 92-81=11, Resulting Numbers: [11]
11,96 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 #0,3,0
Current State: 96:[54, 65], Operations: ['81-27=54', '92-27=65']
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,96 unequal: No Solution
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,96 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: 96:[27, 95], Operations: ['81/27=3', '92+3=95']
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 27+95=122, Resulting Numbers: [122]
122,96 unequal: No Solution
Exploring Operation: 27*95=2565, Resulting Numbers: [2565]
2565,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[92, 2], Operations: ['81-27=54', '54/27=2']
Exploring Operation: 92*2=184, Resulting Numbers: [184]
184,96 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,96 unequal: No Solution
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,96 unequal: No Solution
Moving to Node #0,4,4
Current State: 96:[92, 24], Operations: ['81/27=3', '27-3=24']
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,96 unequal: No Solution
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,96 unequal: No Solution
Moving to Node #0,4,2
Current State: 96:[92, 9], Operations: ['81/27=3', '27/3=9']
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,96 unequal: No Solution
Exploring Operation: 92*9=828, Resulting Numbers: [828]
828,96 unequal: No Solution
Exploring Operation: 92+9=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Moving to Node #0,4,1
Current State: 96:[92, 30], Operations: ['81/27=3', '27+3=30']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 92*30=2760, Resulting Numbers: [2760]
2760,96 unequal: No Solution
Exploring Operation: 92+30=122, Resulting Numbers: [122]
122,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[92, 27], Operations: ['81-27=54', '54-27=27']
Exploring Operation: 92+27=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 92*27=2484, Resulting Numbers: [2484]
2484,96 unequal: No Solution
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[27, 38], Operations: ['81-27=54', '92-54=38']
Exploring Operation: 27*38=1026, Resulting Numbers: [1026]
1026,96 unequal: No Solution
Exploring Operation: 27+38=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Moving to Node #0,4,3
Current State: 96:[27, 89], Operations: ['81/27=3', '92-3=89']
Exploring Operation: 27+89=116, Resulting Numbers: [116]
116,96 unequal: No Solution
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 27*89=2403, Resulting Numbers: [2403]
2403,96 unequal: No Solution
Moving to Node #0,1,4
Current State: 96:[92, 81], Operations: ['81-27=54', '27+54=81']
Exploring Operation: 92+81=173, Resulting Numbers: [173]
173,96 unequal: No Solution
Exploring Operation: 92-81=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 92*81=7452, Resulting Numbers: [7452]
7452,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[54, 65], Operations: ['81-27=54', '92-27=65']
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,96 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
24,
63,
49,
37
] | 99 | [
"24+63=87",
"49-37=12",
"87+12=99"
] | Current State: 99:[24, 63, 49, 37], Operations: []
Exploring Operation: 24+63=87, Resulting Numbers: [49, 37, 87]
Generated Node #2: [49, 37, 87] from Operation: 24+63=87
Current State: 99:[49, 37, 87], Operations: ['24+63=87']
Exploring Operation: 49-37=12, Resulting Numbers: [87, 12]
Generated Node #3: [87, 12] from Operation: 49-37=12
Current State: 99:[87, 12], Operations: ['24+63=87', '49-37=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[24, 63, 49, 37], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [24, 37, 14]
Generated Node #0,0: 99:[24, 37, 14] Operation: 63-49=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[24, 37, 14], Operations: ['63-49=14']
Exploring Operation: 37-24=13, Resulting Numbers: [14, 13]
Generated Node #0,0,0: 99:[14, 13] Operation: 37-24=13
Moving to Node #0,0,0
Current State: 99:[14, 13], Operations: ['63-49=14', '37-24=13']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
95,
30,
35,
43
] | 45 | [
"95-35=60",
"60/30=2",
"43+2=45"
] | Current State: 45:[95, 30, 35, 43], Operations: []
Exploring Operation: 95-35=60, Resulting Numbers: [30, 43, 60]
Generated Node #2: [30, 43, 60] from Operation: 95-35=60
Current State: 45:[30, 43, 60], Operations: ['95-35=60']
Exploring Operation: 60/30=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 60/30=2
Current State: 45:[43, 2], Operations: ['95-35=60', '60/30=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[95, 30, 35, 43], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [95, 43, 5]
Generated Node #0,0: 45:[95, 43, 5] Operation: 35-30=5
Exploring Operation: 95-43=52, Resulting Numbers: [30, 35, 52]
Generated Node #0,1: 45:[30, 35, 52] Operation: 95-43=52
Exploring Operation: 43-30=13, Resulting Numbers: [95, 35, 13]
Generated Node #0,2: 45:[95, 35, 13] Operation: 43-30=13
Exploring Operation: 95-30=65, Resulting Numbers: [35, 43, 65]
Generated Node #0,3: 45:[35, 43, 65] Operation: 95-30=65
Exploring Operation: 95-35=60, Resulting Numbers: [30, 43, 60]
Generated Node #0,4: 45:[30, 43, 60] Operation: 95-35=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[30, 35, 52], Operations: ['95-43=52']
Exploring Operation: 52-30=22, Resulting Numbers: [35, 22]
Generated Node #0,1,0: 45:[35, 22] Operation: 52-30=22
Exploring Operation: 30+35=65, Resulting Numbers: [52, 65]
Generated Node #0,1,1: 45:[52, 65] Operation: 30+35=65
Exploring Operation: 30+52=82, Resulting Numbers: [35, 82]
Generated Node #0,1,2: 45:[35, 82] Operation: 30+52=82
Exploring Operation: 52-35=17, Resulting Numbers: [30, 17]
Generated Node #0,1,3: 45:[30, 17] Operation: 52-35=17
Exploring Operation: 35-30=5, Resulting Numbers: [52, 5]
Generated Node #0,1,4: 45:[52, 5] Operation: 35-30=5
Moving to Node #0,1,4
Current State: 45:[52, 5], Operations: ['95-43=52', '35-30=5']
Exploring Operation: 52*5=260, Resulting Numbers: [260]
260,45 unequal: No Solution
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Moving to Node #0,1,3
Current State: 45:[30, 17], Operations: ['95-43=52', '52-35=17']
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,45 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[35, 22], Operations: ['95-43=52', '52-30=22']
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,45 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[52, 65], Operations: ['95-43=52', '30+35=65']
Exploring Operation: 52+65=117, Resulting Numbers: [117]
117,45 unequal: No Solution
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 52*65=3380, Resulting Numbers: [3380]
3380,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[35, 82], Operations: ['95-43=52', '30+52=82']
Exploring Operation: 35+82=117, Resulting Numbers: [117]
117,45 unequal: No Solution
Exploring Operation: 35*82=2870, Resulting Numbers: [2870]
2870,45 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[35, 43, 65], Operations: ['95-30=65']
Exploring Operation: 43-35=8, Resulting Numbers: [65, 8]
Generated Node #0,3,0: 45:[65, 8] Operation: 43-35=8
Exploring Operation: 65-43=22, Resulting Numbers: [35, 22]
Generated Node #0,3,1: 45:[35, 22] Operation: 65-43=22
Exploring Operation: 35+65=100, Resulting Numbers: [43, 100]
Generated Node #0,3,2: 45:[43, 100] Operation: 35+65=100
Exploring Operation: 35+43=78, Resulting Numbers: [65, 78]
Generated Node #0,3,3: 45:[65, 78] Operation: 35+43=78
Exploring Operation: 65-35=30, Resulting Numbers: [43, 30]
Generated Node #0,3,4: 45:[43, 30] Operation: 65-35=30
Moving to Node #0,3,1
Current State: 45:[35, 22], Operations: ['95-30=65', '65-43=22']
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,45 unequal: No Solution
Moving to Node #0,3,4
Current State: 45:[43, 30], Operations: ['95-30=65', '65-35=30']
Exploring Operation: 43*30=1290, Resulting Numbers: [1290]
1290,45 unequal: No Solution
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,45 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[65, 8], Operations: ['95-30=65', '43-35=8']
Exploring Operation: 65*8=520, Resulting Numbers: [520]
520,45 unequal: No Solution
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[65, 78], Operations: ['95-30=65', '35+43=78']
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 65*78=5070, Resulting Numbers: [5070]
5070,45 unequal: No Solution
Exploring Operation: 65+78=143, Resulting Numbers: [143]
143,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[43, 100], Operations: ['95-30=65', '35+65=100']
Exploring Operation: 43*100=4300, Resulting Numbers: [4300]
4300,45 unequal: No Solution
Exploring Operation: 100-43=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 43+100=143, Resulting Numbers: [143]
143,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 45:[30, 43, 60], Operations: ['95-35=60']
Exploring Operation: 30+43=73, Resulting Numbers: [60, 73]
Generated Node #0,4,0: 45:[60, 73] Operation: 30+43=73
Exploring Operation: 60-43=17, Resulting Numbers: [30, 17]
Generated Node #0,4,1: 45:[30, 17] Operation: 60-43=17
Exploring Operation: 43-30=13, Resulting Numbers: [60, 13]
Generated Node #0,4,2: 45:[60, 13] Operation: 43-30=13
Exploring Operation: 60/30=2, Resulting Numbers: [43, 2]
Generated Node #0,4,3: 45:[43, 2] Operation: 60/30=2
Exploring Operation: 60-30=30, Resulting Numbers: [43, 30]
Generated Node #0,4,4: 45:[43, 30] Operation: 60-30=30
Moving to Node #0,4,3
Current State: 45:[43, 2], Operations: ['95-35=60', '60/30=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[95, 30, 35, 43], Operations: []
Exploring Operation: 95-35=60, Resulting Numbers: [30, 43, 60]
Generated Node #0,4: 45:[30, 43, 60] Operation: 95-35=60
Moving to Node #0,4
Current State: 45:[30, 43, 60], Operations: ['95-35=60']
Exploring Operation: 60/30=2, Resulting Numbers: [43, 2]
Generated Node #0,4,3: 45:[43, 2] Operation: 60/30=2
Moving to Node #0,4,3
Current State: 45:[43, 2], Operations: ['95-35=60', '60/30=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.952257 | hs_5 | mult_heuristic |
[
80,
85,
40,
3
] | 86 | [
"80/40=2",
"85+3=88",
"88-2=86"
] | Current State: 86:[80, 85, 40, 3], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [85, 3, 2]
Generated Node #2: [85, 3, 2] from Operation: 80/40=2
Current State: 86:[85, 3, 2], Operations: ['80/40=2']
Exploring Operation: 85+3=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 85+3=88
Current State: 86:[2, 88], Operations: ['80/40=2', '85+3=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[80, 85, 40, 3], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [85, 3, 2]
Generated Node #0,0: 86:[85, 3, 2] Operation: 80/40=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[85, 3, 2], Operations: ['80/40=2']
Exploring Operation: 85+3=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 86:[2, 88] Operation: 85+3=88
Moving to Node #0,0,0
Current State: 86:[2, 88], Operations: ['80/40=2', '85+3=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[80, 85, 40, 3], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [85, 3, 2]
Generated Node #0,0: 86:[85, 3, 2] Operation: 80/40=2
Moving to Node #0,0
Current State: 86:[85, 3, 2], Operations: ['80/40=2']
Exploring Operation: 85+3=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 86:[2, 88] Operation: 85+3=88
Moving to Node #0,0,0
Current State: 86:[2, 88], Operations: ['80/40=2', '85+3=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
61,
68,
76,
80
] | 67 | [
"61*76=4636",
"4636-80=4556",
"4556/68=67"
] | Current State: 67:[61, 68, 76, 80], Operations: []
Exploring Operation: 61*76=4636, Resulting Numbers: [68, 80, 4636]
Generated Node #2: [68, 80, 4636] from Operation: 61*76=4636
Current State: 67:[68, 80, 4636], Operations: ['61*76=4636']
Exploring Operation: 4636-80=4556, Resulting Numbers: [68, 4556]
Generated Node #3: [68, 4556] from Operation: 4636-80=4556
Current State: 67:[68, 4556], Operations: ['61*76=4636', '4636-80=4556']
Exploring Operation: 4556/68=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[61, 68, 76, 80], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [61, 76, 12]
Generated Node #0,0: 67:[61, 76, 12] Operation: 80-68=12
Exploring Operation: 80-61=19, Resulting Numbers: [68, 76, 19]
Generated Node #0,1: 67:[68, 76, 19] Operation: 80-61=19
Exploring Operation: 76-61=15, Resulting Numbers: [68, 80, 15]
Generated Node #0,2: 67:[68, 80, 15] Operation: 76-61=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[68, 76, 19], Operations: ['80-61=19']
Exploring Operation: 68+19=87, Resulting Numbers: [76, 87]
Generated Node #0,1,0: 67:[76, 87] Operation: 68+19=87
Exploring Operation: 68-19=49, Resulting Numbers: [76, 49]
Generated Node #0,1,1: 67:[76, 49] Operation: 68-19=49
Exploring Operation: 76-19=57, Resulting Numbers: [68, 57]
Generated Node #0,1,2: 67:[68, 57] Operation: 76-19=57
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[68, 57], Operations: ['80-61=19', '76-19=57']
Exploring Operation: 68+57=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 68*57=3876, Resulting Numbers: [3876]
3876,67 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,67 unequal: No Solution
No 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: 67:[76, 49], Operations: ['80-61=19', '68-19=49']
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,67 unequal: No Solution
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,67 unequal: No Solution
No 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: 67:[76, 87], Operations: ['80-61=19', '68+19=87']
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,67 unequal: No Solution
Exploring Operation: 76+87=163, Resulting Numbers: [163]
163,67 unequal: No Solution
Exploring Operation: 76*87=6612, Resulting Numbers: [6612]
6612,67 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: 67:[68, 80, 15], Operations: ['76-61=15']
Exploring Operation: 80-15=65, Resulting Numbers: [68, 65]
Generated Node #0,2,0: 67:[68, 65] Operation: 80-15=65
Exploring Operation: 68+15=83, Resulting Numbers: [80, 83]
Generated Node #0,2,1: 67:[80, 83] Operation: 68+15=83
Exploring Operation: 68-15=53, Resulting Numbers: [80, 53]
Generated Node #0,2,2: 67:[80, 53] Operation: 68-15=53
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 67:[68, 65], Operations: ['76-61=15', '80-15=65']
Exploring Operation: 68+65=133, Resulting Numbers: [133]
133,67 unequal: No Solution
Exploring Operation: 68-65=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 68*65=4420, Resulting Numbers: [4420]
4420,67 unequal: No Solution
No 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: 67:[80, 53], Operations: ['76-61=15', '68-15=53']
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 80*53=4240, Resulting Numbers: [4240]
4240,67 unequal: No Solution
Exploring Operation: 80+53=133, Resulting Numbers: [133]
133,67 unequal: No Solution
No 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: 67:[80, 83], Operations: ['76-61=15', '68+15=83']
Exploring Operation: 80+83=163, Resulting Numbers: [163]
163,67 unequal: No Solution
Exploring Operation: 83-80=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 80*83=6640, Resulting Numbers: [6640]
6640,67 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: 67:[61, 76, 12], Operations: ['80-68=12']
Exploring Operation: 61+12=73, Resulting Numbers: [76, 73]
Generated Node #0,0,0: 67:[76, 73] Operation: 61+12=73
Exploring Operation: 76-12=64, Resulting Numbers: [61, 64]
Generated Node #0,0,1: 67:[61, 64] Operation: 76-12=64
Exploring Operation: 61-12=49, Resulting Numbers: [76, 49]
Generated Node #0,0,2: 67:[76, 49] Operation: 61-12=49
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[61, 64], Operations: ['80-68=12', '76-12=64']
Exploring Operation: 61+64=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 61*64=3904, Resulting Numbers: [3904]
3904,67 unequal: No Solution
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,67 unequal: No Solution
No 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: 67:[76, 73], Operations: ['80-68=12', '61+12=73']
Exploring Operation: 76*73=5548, Resulting Numbers: [5548]
5548,67 unequal: No Solution
Exploring Operation: 76+73=149, Resulting Numbers: [149]
149,67 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,67 unequal: No Solution
No 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: 67:[76, 49], Operations: ['80-68=12', '61-12=49']
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,67 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 |
[
27,
45,
6,
6
] | 60 | [
"27+45=72",
"6+6=12",
"72-12=60"
] | Current State: 60:[27, 45, 6, 6], Operations: []
Exploring Operation: 27+45=72, Resulting Numbers: [6, 6, 72]
Generated Node #2: [6, 6, 72] from Operation: 27+45=72
Current State: 60:[6, 6, 72], Operations: ['27+45=72']
Exploring Operation: 6+6=12, Resulting Numbers: [72, 12]
Generated Node #3: [72, 12] from Operation: 6+6=12
Current State: 60:[72, 12], Operations: ['27+45=72', '6+6=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[27, 45, 6, 6], Operations: []
Exploring Operation: 45-27=18, Resulting Numbers: [6, 6, 18]
Generated Node #0,0: 60:[6, 6, 18] Operation: 45-27=18
Exploring Operation: 45+6=51, Resulting Numbers: [27, 6, 51]
Generated Node #0,1: 60:[27, 6, 51] Operation: 45+6=51
Exploring Operation: 27+45=72, Resulting Numbers: [6, 6, 72]
Generated Node #0,2: 60:[6, 6, 72] Operation: 27+45=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[6, 6, 18], Operations: ['45-27=18']
Exploring Operation: 18-6=12, Resulting Numbers: [6, 12]
Generated Node #0,0,0: 60:[6, 12] Operation: 18-6=12
Exploring Operation: 18/6=3, Resulting Numbers: [6, 3]
Generated Node #0,0,1: 60:[6, 3] Operation: 18/6=3
Exploring Operation: 18-6=12, Resulting Numbers: [6, 12]
Generated Node #0,0,2: 60:[6, 12] Operation: 18-6=12
Moving to Node #0,0,0
Current State: 60:[6, 12], Operations: ['45-27=18', '18-6=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[6, 3], Operations: ['45-27=18', '18/6=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[6, 12], Operations: ['45-27=18', '18-6=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[27, 6, 51], Operations: ['45+6=51']
Exploring Operation: 6+51=57, Resulting Numbers: [27, 57]
Generated Node #0,1,0: 60:[27, 57] Operation: 6+51=57
Exploring Operation: 51-27=24, Resulting Numbers: [6, 24]
Generated Node #0,1,1: 60:[6, 24] Operation: 51-27=24
Exploring Operation: 27-6=21, Resulting Numbers: [51, 21]
Generated Node #0,1,2: 60:[51, 21] Operation: 27-6=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[6, 24], Operations: ['45+6=51', '51-27=24']
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[27, 57], Operations: ['45+6=51', '6+51=57']
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,60 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[51, 21], Operations: ['45+6=51', '27-6=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,60 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,60 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: 60:[6, 6, 72], Operations: ['27+45=72']
Exploring Operation: 72/6=12, Resulting Numbers: [6, 12]
Generated Node #0,2,0: 60:[6, 12] Operation: 72/6=12
Exploring Operation: 72-6=66, Resulting Numbers: [6, 66]
Generated Node #0,2,1: 60:[6, 66] Operation: 72-6=66
Exploring Operation: 72/6=12, Resulting Numbers: [6, 12]
Generated Node #0,2,2: 60:[6, 12] Operation: 72/6=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[6, 12], Operations: ['27+45=72', '72/6=12']
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[6, 12], Operations: ['27+45=72', '72/6=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[6, 66], Operations: ['27+45=72', '72-6=66']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[27, 45, 6, 6], Operations: []
Exploring Operation: 27+45=72, Resulting Numbers: [6, 6, 72]
Generated Node #0,2: 60:[6, 6, 72] Operation: 27+45=72
Moving to Node #0,2
Current State: 60:[6, 6, 72], Operations: ['27+45=72']
Exploring Operation: 72-6=66, Resulting Numbers: [6, 66]
Generated Node #0,2,1: 60:[6, 66] Operation: 72-6=66
Moving to Node #0,2,1
Current State: 60:[6, 66], Operations: ['27+45=72', '72-6=66']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96441 | hs_3 | sum_heuristic |
[
46,
86,
31,
2
] | 35 | [
"46+86=132",
"132/2=66",
"66-31=35"
] | Current State: 35:[46, 86, 31, 2], Operations: []
Exploring Operation: 46+86=132, Resulting Numbers: [31, 2, 132]
Generated Node #2: [31, 2, 132] from Operation: 46+86=132
Current State: 35:[31, 2, 132], Operations: ['46+86=132']
Exploring Operation: 132/2=66, Resulting Numbers: [31, 66]
Generated Node #3: [31, 66] from Operation: 132/2=66
Current State: 35:[31, 66], Operations: ['46+86=132', '132/2=66']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[46, 86, 31, 2], Operations: []
Exploring Operation: 86-31=55, Resulting Numbers: [46, 2, 55]
Generated Node #0,0: 35:[46, 2, 55] Operation: 86-31=55
Exploring Operation: 86/2=43, Resulting Numbers: [46, 31, 43]
Generated Node #0,1: 35:[46, 31, 43] Operation: 86/2=43
Exploring Operation: 86-46=40, Resulting Numbers: [31, 2, 40]
Generated Node #0,2: 35:[31, 2, 40] Operation: 86-46=40
Exploring Operation: 46-2=44, Resulting Numbers: [86, 31, 44]
Generated Node #0,3: 35:[86, 31, 44] Operation: 46-2=44
Exploring Operation: 46-31=15, Resulting Numbers: [86, 2, 15]
Generated Node #0,4: 35:[86, 2, 15] Operation: 46-31=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[31, 2, 40], Operations: ['86-46=40']
Exploring Operation: 31-2=29, Resulting Numbers: [40, 29]
Generated Node #0,2,0: 35:[40, 29] Operation: 31-2=29
Exploring Operation: 40-31=9, Resulting Numbers: [2, 9]
Generated Node #0,2,1: 35:[2, 9] Operation: 40-31=9
Exploring Operation: 31+2=33, Resulting Numbers: [40, 33]
Generated Node #0,2,2: 35:[40, 33] Operation: 31+2=33
Exploring Operation: 2+40=42, Resulting Numbers: [31, 42]
Generated Node #0,2,3: 35:[31, 42] Operation: 2+40=42
Exploring Operation: 40-2=38, Resulting Numbers: [31, 38]
Generated Node #0,2,4: 35:[31, 38] Operation: 40-2=38
Moving to Node #0,2,1
Current State: 35:[2, 9], Operations: ['86-46=40', '40-31=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,2,4
Current State: 35:[31, 38], Operations: ['86-46=40', '40-2=38']
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 31*38=1178, Resulting Numbers: [1178]
1178,35 unequal: No Solution
Exploring Operation: 31+38=69, Resulting Numbers: [69]
69,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[40, 33], Operations: ['86-46=40', '31+2=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 40*33=1320, Resulting Numbers: [1320]
1320,35 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[40, 29], Operations: ['86-46=40', '31-2=29']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 40*29=1160, Resulting Numbers: [1160]
1160,35 unequal: No Solution
Exploring Operation: 40+29=69, Resulting Numbers: [69]
69,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[31, 42], Operations: ['86-46=40', '2+40=42']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 31+42=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 31*42=1302, Resulting Numbers: [1302]
1302,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[46, 31, 43], Operations: ['86/2=43']
Exploring Operation: 46+31=77, Resulting Numbers: [43, 77]
Generated Node #0,1,0: 35:[43, 77] Operation: 46+31=77
Exploring Operation: 46-43=3, Resulting Numbers: [31, 3]
Generated Node #0,1,1: 35:[31, 3] Operation: 46-43=3
Exploring Operation: 31+43=74, Resulting Numbers: [46, 74]
Generated Node #0,1,2: 35:[46, 74] Operation: 31+43=74
Exploring Operation: 43-31=12, Resulting Numbers: [46, 12]
Generated Node #0,1,3: 35:[46, 12] Operation: 43-31=12
Exploring Operation: 46-31=15, Resulting Numbers: [43, 15]
Generated Node #0,1,4: 35:[43, 15] Operation: 46-31=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[31, 3], Operations: ['86/2=43', '46-43=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 35:[46, 12], Operations: ['86/2=43', '43-31=12']
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,35 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 35:[43, 15], Operations: ['86/2=43', '46-31=15']
Exploring Operation: 43*15=645, Resulting Numbers: [645]
645,35 unequal: No Solution
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[43, 77], Operations: ['86/2=43', '46+31=77']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,35 unequal: No Solution
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[46, 74], Operations: ['86/2=43', '31+43=74']
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 46*74=3404, Resulting Numbers: [3404]
3404,35 unequal: No Solution
Exploring Operation: 46+74=120, Resulting Numbers: [120]
120,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[46, 2, 55], Operations: ['86-31=55']
Exploring Operation: 55-46=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 35:[2, 9] Operation: 55-46=9
Exploring Operation: 55-2=53, Resulting Numbers: [46, 53]
Generated Node #0,0,1: 35:[46, 53] Operation: 55-2=53
Exploring Operation: 46-2=44, Resulting Numbers: [55, 44]
Generated Node #0,0,2: 35:[55, 44] Operation: 46-2=44
Exploring Operation: 46/2=23, Resulting Numbers: [55, 23]
Generated Node #0,0,3: 35:[55, 23] Operation: 46/2=23
Exploring Operation: 46+2=48, Resulting Numbers: [55, 48]
Generated Node #0,0,4: 35:[55, 48] Operation: 46+2=48
Moving to Node #0,0,0
Current State: 35:[2, 9], Operations: ['86-31=55', '55-46=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[55, 44], Operations: ['86-31=55', '46-2=44']
Exploring Operation: 55*44=2420, Resulting Numbers: [2420]
2420,35 unequal: No Solution
Exploring Operation: 55+44=99, Resulting Numbers: [99]
99,35 unequal: No Solution
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[46, 53], Operations: ['86-31=55', '55-2=53']
Exploring Operation: 46+53=99, Resulting Numbers: [99]
99,35 unequal: No Solution
Exploring Operation: 46*53=2438, Resulting Numbers: [2438]
2438,35 unequal: No Solution
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[55, 23], Operations: ['86-31=55', '46/2=23']
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,35 unequal: No Solution
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,35 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[55, 48], Operations: ['86-31=55', '46+2=48']
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,35 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 35:[86, 2, 15], Operations: ['46-31=15']
Exploring Operation: 86-15=71, Resulting Numbers: [2, 71]
Generated Node #0,4,0: 35:[2, 71] Operation: 86-15=71
Exploring Operation: 86-2=84, Resulting Numbers: [15, 84]
Generated Node #0,4,1: 35:[15, 84] Operation: 86-2=84
Exploring Operation: 86/2=43, Resulting Numbers: [15, 43]
Generated Node #0,4,2: 35:[15, 43] Operation: 86/2=43
Exploring Operation: 2*15=30, Resulting Numbers: [86, 30]
Generated Node #0,4,3: 35:[86, 30] Operation: 2*15=30
Exploring Operation: 15-2=13, Resulting Numbers: [86, 13]
Generated Node #0,4,4: 35:[86, 13] Operation: 15-2=13
Moving to Node #0,4,2
Current State: 35:[15, 43], Operations: ['46-31=15', '86/2=43']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,35 unequal: No Solution
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,35 unequal: No Solution
Exploring Operation: 15*43=645, Resulting Numbers: [645]
645,35 unequal: No Solution
Moving to Node #0,4,0
Current State: 35:[2, 71], Operations: ['46-31=15', '86-15=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,35 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,35 unequal: No Solution
Moving to Node #0,4,3
Current State: 35:[86, 30], Operations: ['46-31=15', '2*15=30']
Exploring Operation: 86+30=116, Resulting Numbers: [116]
116,35 unequal: No Solution
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,35 unequal: No Solution
Exploring Operation: 86*30=2580, Resulting Numbers: [2580]
2580,35 unequal: No Solution
Moving to Node #0,4,1
Current State: 35:[15, 84], Operations: ['46-31=15', '86-2=84']
Exploring Operation: 15*84=1260, Resulting Numbers: [1260]
1260,35 unequal: No Solution
Exploring Operation: 15+84=99, Resulting Numbers: [99]
99,35 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,35 unequal: No Solution
Moving to Node #0,4,4
Current State: 35:[86, 13], Operations: ['46-31=15', '15-2=13']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 86*13=1118, Resulting Numbers: [1118]
1118,35 unequal: No Solution
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[86, 31, 44], Operations: ['46-2=44']
Exploring Operation: 31+44=75, Resulting Numbers: [86, 75]
Generated Node #0,3,0: 35:[86, 75] Operation: 31+44=75
Exploring Operation: 86-31=55, Resulting Numbers: [44, 55]
Generated Node #0,3,1: 35:[44, 55] Operation: 86-31=55
Exploring Operation: 86-44=42, Resulting Numbers: [31, 42]
Generated Node #0,3,2: 35:[31, 42] Operation: 86-44=42
Exploring Operation: 86+31=117, Resulting Numbers: [44, 117]
Generated Node #0,3,3: 35:[44, 117] Operation: 86+31=117
Exploring Operation: 44-31=13, Resulting Numbers: [86, 13]
Generated Node #0,3,4: 35:[86, 13] Operation: 44-31=13
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 35:[31, 42], Operations: ['46-2=44', '86-44=42']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 31+42=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 31*42=1302, Resulting Numbers: [1302]
1302,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 35:[44, 55], Operations: ['46-2=44', '86-31=55']
Exploring Operation: 44+55=99, Resulting Numbers: [99]
99,35 unequal: No Solution
Exploring Operation: 44*55=2420, Resulting Numbers: [2420]
2420,35 unequal: No Solution
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 35:[86, 13], Operations: ['46-2=44', '44-31=13']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,35 unequal: No Solution
Exploring Operation: 86*13=1118, Resulting Numbers: [1118]
1118,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 35:[86, 75], Operations: ['46-2=44', '31+44=75']
Exploring Operation: 86+75=161, Resulting Numbers: [161]
161,35 unequal: No Solution
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 86*75=6450, Resulting Numbers: [6450]
6450,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[44, 117], Operations: ['46-2=44', '86+31=117']
Exploring Operation: 117-44=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 44+117=161, Resulting Numbers: [161]
161,35 unequal: No Solution
Exploring Operation: 44*117=5148, Resulting Numbers: [5148]
5148,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
97,
12,
1,
7
] | 25 | [
"7-1=6",
"12*6=72",
"97-72=25"
] | Current State: 25:[97, 12, 1, 7], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [97, 12, 6]
Generated Node #2: [97, 12, 6] from Operation: 7-1=6
Current State: 25:[97, 12, 6], Operations: ['7-1=6']
Exploring Operation: 12*6=72, Resulting Numbers: [97, 72]
Generated Node #3: [97, 72] from Operation: 12*6=72
Current State: 25:[97, 72], Operations: ['7-1=6', '12*6=72']
Exploring Operation: 97-72=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[97, 12, 1, 7], Operations: []
Exploring Operation: 12-7=5, Resulting Numbers: [97, 1, 5]
Generated Node #0,0: 25:[97, 1, 5] Operation: 12-7=5
Exploring Operation: 97-12=85, Resulting Numbers: [1, 7, 85]
Generated Node #0,1: 25:[1, 7, 85] Operation: 97-12=85
Exploring Operation: 97-1=96, Resulting Numbers: [12, 7, 96]
Generated Node #0,2: 25:[12, 7, 96] Operation: 97-1=96
Exploring Operation: 97-7=90, Resulting Numbers: [12, 1, 90]
Generated Node #0,3: 25:[12, 1, 90] Operation: 97-7=90
Moving to Node #0,1
Current State: 25:[1, 7, 85], Operations: ['97-12=85']
Exploring Operation: 1*7=7, Resulting Numbers: [85, 7]
Generated Node #0,1,0: 25:[85, 7] Operation: 1*7=7
Exploring Operation: 85-7=78, Resulting Numbers: [1, 78]
Generated Node #0,1,1: 25:[1, 78] Operation: 85-7=78
Exploring Operation: 7-1=6, Resulting Numbers: [85, 6]
Generated Node #0,1,2: 25:[85, 6] Operation: 7-1=6
Exploring Operation: 85-1=84, Resulting Numbers: [7, 84]
Generated Node #0,1,3: 25:[7, 84] Operation: 85-1=84
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[1, 78], Operations: ['97-12=85', '85-7=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 1+78=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[85, 6], Operations: ['97-12=85', '7-1=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[7, 84], Operations: ['97-12=85', '85-1=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 7*84=588, Resulting Numbers: [588]
588,25 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[85, 7], Operations: ['97-12=85', '1*7=7']
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 85+7=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Exploring Operation: 85*7=595, Resulting Numbers: [595]
595,25 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: 25:[12, 1, 90], Operations: ['97-7=90']
Exploring Operation: 12*1=12, Resulting Numbers: [90, 12]
Generated Node #0,3,0: 25:[90, 12] Operation: 12*1=12
Exploring Operation: 90-1=89, Resulting Numbers: [12, 89]
Generated Node #0,3,1: 25:[12, 89] Operation: 90-1=89
Exploring Operation: 12-1=11, Resulting Numbers: [90, 11]
Generated Node #0,3,2: 25:[90, 11] Operation: 12-1=11
Exploring Operation: 90-12=78, Resulting Numbers: [1, 78]
Generated Node #0,3,3: 25:[1, 78] Operation: 90-12=78
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[1, 78], Operations: ['97-7=90', '90-12=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 1+78=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,25 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 #0,3,1
Current State: 25:[12, 89], Operations: ['97-7=90', '90-1=89']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 12*89=1068, Resulting Numbers: [1068]
1068,25 unequal: No Solution
Exploring Operation: 12+89=101, Resulting Numbers: [101]
101,25 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:[90, 11], Operations: ['97-7=90', '12-1=11']
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 90*11=990, Resulting Numbers: [990]
990,25 unequal: No Solution
Exploring Operation: 90+11=101, Resulting Numbers: [101]
101,25 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:[90, 12], Operations: ['97-7=90', '12*1=12']
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 90*12=1080, Resulting Numbers: [1080]
1080,25 unequal: No Solution
Exploring Operation: 90+12=102, Resulting Numbers: [102]
102,25 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:[97, 1, 5], Operations: ['12-7=5']
Exploring Operation: 97/1=97, Resulting Numbers: [5, 97]
Generated Node #0,0,0: 25:[5, 97] Operation: 97/1=97
Exploring Operation: 97*1=97, Resulting Numbers: [5, 97]
Generated Node #0,0,1: 25:[5, 97] Operation: 97*1=97
Exploring Operation: 97-5=92, Resulting Numbers: [1, 92]
Generated Node #0,0,2: 25:[1, 92] Operation: 97-5=92
Exploring Operation: 97-1=96, Resulting Numbers: [5, 96]
Generated Node #0,0,3: 25:[5, 96] Operation: 97-1=96
Moving to Node #0,2
Current State: 25:[12, 7, 96], Operations: ['97-1=96']
Exploring Operation: 96/12=8, Resulting Numbers: [7, 8]
Generated Node #0,2,0: 25:[7, 8] Operation: 96/12=8
Exploring Operation: 96-12=84, Resulting Numbers: [7, 84]
Generated Node #0,2,1: 25:[7, 84] Operation: 96-12=84
Exploring Operation: 96-7=89, Resulting Numbers: [12, 89]
Generated Node #0,2,2: 25:[12, 89] Operation: 96-7=89
Exploring Operation: 12-7=5, Resulting Numbers: [96, 5]
Generated Node #0,2,3: 25:[96, 5] Operation: 12-7=5
Moving to Node #0,2,0
Current State: 25:[7, 8], Operations: ['97-1=96', '96/12=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[7, 84], Operations: ['97-1=96', '96-12=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 7*84=588, Resulting Numbers: [588]
588,25 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[12, 89], Operations: ['97-1=96', '96-7=89']
Exploring Operation: 12*89=1068, Resulting Numbers: [1068]
1068,25 unequal: No Solution
Exploring Operation: 12+89=101, Resulting Numbers: [101]
101,25 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[1, 92], Operations: ['12-7=5', '97-5=92']
Exploring Operation: 1*92=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 1+92=93, Resulting Numbers: [93]
93,25 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[5, 96], Operations: ['12-7=5', '97-1=96']
Exploring Operation: 5*96=480, Resulting Numbers: [480]
480,25 unequal: No Solution
Exploring Operation: 5+96=101, Resulting Numbers: [101]
101,25 unequal: No Solution
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[96, 5], Operations: ['97-1=96', '12-7=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,25 unequal: No Solution
Exploring Operation: 96*5=480, Resulting Numbers: [480]
480,25 unequal: No Solution
Exploring Operation: 96+5=101, Resulting Numbers: [101]
101,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[5, 97], Operations: ['12-7=5', '97*1=97']
Exploring Operation: 5*97=485, Resulting Numbers: [485]
485,25 unequal: No Solution
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Exploring Operation: 5+97=102, Resulting Numbers: [102]
102,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[5, 97], Operations: ['12-7=5', '97/1=97']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,25 unequal: No Solution
Exploring Operation: 5+97=102, Resulting Numbers: [102]
102,25 unequal: No Solution
Exploring Operation: 5*97=485, Resulting Numbers: [485]
485,25 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
22,
14,
2,
46
] | 80 | [
"22+14=36",
"46-2=44",
"36+44=80"
] | Current State: 80:[22, 14, 2, 46], Operations: []
Exploring Operation: 22+14=36, Resulting Numbers: [2, 46, 36]
Generated Node #2: [2, 46, 36] from Operation: 22+14=36
Current State: 80:[2, 46, 36], Operations: ['22+14=36']
Exploring Operation: 46-2=44, Resulting Numbers: [36, 44]
Generated Node #3: [36, 44] from Operation: 46-2=44
Current State: 80:[36, 44], Operations: ['22+14=36', '46-2=44']
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[22, 14, 2, 46], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [14, 2, 24]
Generated Node #0,0: 80:[14, 2, 24] Operation: 46-22=24
Exploring Operation: 22-14=8, Resulting Numbers: [2, 46, 8]
Generated Node #0,1: 80:[2, 46, 8] Operation: 22-14=8
Exploring Operation: 22-2=20, Resulting Numbers: [14, 46, 20]
Generated Node #0,2: 80:[14, 46, 20] Operation: 22-2=20
Exploring Operation: 46/2=23, Resulting Numbers: [22, 14, 23]
Generated Node #0,3: 80:[22, 14, 23] Operation: 46/2=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[14, 2, 24], Operations: ['46-22=24']
Exploring Operation: 14+2=16, Resulting Numbers: [24, 16]
Generated Node #0,0,0: 80:[24, 16] Operation: 14+2=16
Exploring Operation: 14+24=38, Resulting Numbers: [2, 38]
Generated Node #0,0,1: 80:[2, 38] Operation: 14+24=38
Exploring Operation: 24-2=22, Resulting Numbers: [14, 22]
Generated Node #0,0,2: 80:[14, 22] Operation: 24-2=22
Exploring Operation: 24-14=10, Resulting Numbers: [2, 10]
Generated Node #0,0,3: 80:[2, 10] Operation: 24-14=10
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 80:[2, 10], Operations: ['46-22=24', '24-14=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[2, 38], Operations: ['46-22=24', '14+24=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[24, 16], Operations: ['46-22=24', '14+2=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,80 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[14, 22], Operations: ['46-22=24', '24-2=22']
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,80 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[2, 46, 8], Operations: ['22-14=8']
Exploring Operation: 46/2=23, Resulting Numbers: [8, 23]
Generated Node #0,1,0: 80:[8, 23] Operation: 46/2=23
Exploring Operation: 46-2=44, Resulting Numbers: [8, 44]
Generated Node #0,1,1: 80:[8, 44] Operation: 46-2=44
Exploring Operation: 46-8=38, Resulting Numbers: [2, 38]
Generated Node #0,1,2: 80:[2, 38] Operation: 46-8=38
Exploring Operation: 2+8=10, Resulting Numbers: [46, 10]
Generated Node #0,1,3: 80:[46, 10] Operation: 2+8=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 80:[2, 38], Operations: ['22-14=8', '46-8=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[8, 23], Operations: ['22-14=8', '46/2=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,80 unequal: No Solution
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,80 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[8, 44], Operations: ['22-14=8', '46-2=44']
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,80 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 80:[46, 10], Operations: ['22-14=8', '2+8=10']
Exploring Operation: 46*10=460, Resulting Numbers: [460]
460,80 unequal: No Solution
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[22, 14, 23], Operations: ['46/2=23']
Exploring Operation: 23-14=9, Resulting Numbers: [22, 9]
Generated Node #0,3,0: 80:[22, 9] Operation: 23-14=9
Exploring Operation: 23-22=1, Resulting Numbers: [14, 1]
Generated Node #0,3,1: 80:[14, 1] Operation: 23-22=1
Exploring Operation: 22-14=8, Resulting Numbers: [23, 8]
Generated Node #0,3,2: 80:[23, 8] Operation: 22-14=8
Exploring Operation: 14+23=37, Resulting Numbers: [22, 37]
Generated Node #0,3,3: 80:[22, 37] Operation: 14+23=37
Moving to Node #0,3,0
Current State: 80:[22, 9], Operations: ['46/2=23', '23-14=9']
Exploring Operation: 22+9=31, Resulting Numbers: [31]
31,80 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 22*9=198, Resulting Numbers: [198]
198,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[23, 8], Operations: ['46/2=23', '22-14=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,80 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,80 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[14, 1], Operations: ['46/2=23', '23-22=1']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[22, 37], Operations: ['46/2=23', '14+23=37']
Exploring Operation: 22*37=814, Resulting Numbers: [814]
814,80 unequal: No Solution
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[14, 46, 20], Operations: ['22-2=20']
Exploring Operation: 14+20=34, Resulting Numbers: [46, 34]
Generated Node #0,2,0: 80:[46, 34] Operation: 14+20=34
Exploring Operation: 20-14=6, Resulting Numbers: [46, 6]
Generated Node #0,2,1: 80:[46, 6] Operation: 20-14=6
Exploring Operation: 46-20=26, Resulting Numbers: [14, 26]
Generated Node #0,2,2: 80:[14, 26] Operation: 46-20=26
Exploring Operation: 46-14=32, Resulting Numbers: [20, 32]
Generated Node #0,2,3: 80:[20, 32] Operation: 46-14=32
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[46, 6], Operations: ['22-2=20', '20-14=6']
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,80 unequal: No Solution
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[14, 26], Operations: ['22-2=20', '46-20=26']
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 14*26=364, Resulting Numbers: [364]
364,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 80:[20, 32], Operations: ['22-2=20', '46-14=32']
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,80 unequal: No Solution
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[46, 34], Operations: ['22-2=20', '14+20=34']
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,80 unequal: No Solution
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[22, 14, 2, 46], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [14, 46, 20]
Generated Node #0,2: 80:[14, 46, 20] Operation: 22-2=20
Moving to Node #0,2
Current State: 80:[14, 46, 20], Operations: ['22-2=20']
Exploring Operation: 14+20=34, Resulting Numbers: [46, 34]
Generated Node #0,2,0: 80:[46, 34] Operation: 14+20=34
Moving to Node #0,2,0
Current State: 80:[46, 34], Operations: ['22-2=20', '14+20=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.934028 | hs_4 | sum_heuristic |
[
64,
76,
58,
23
] | 59 | [
"64+76=140",
"58+23=81",
"140-81=59"
] | Current State: 59:[64, 76, 58, 23], Operations: []
Exploring Operation: 64+76=140, Resulting Numbers: [58, 23, 140]
Generated Node #2: [58, 23, 140] from Operation: 64+76=140
Current State: 59:[58, 23, 140], Operations: ['64+76=140']
Exploring Operation: 58+23=81, Resulting Numbers: [140, 81]
Generated Node #3: [140, 81] from Operation: 58+23=81
Current State: 59:[140, 81], Operations: ['64+76=140', '58+23=81']
Exploring Operation: 140-81=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[64, 76, 58, 23], Operations: []
Exploring Operation: 58+23=81, Resulting Numbers: [64, 76, 81]
Generated Node #0,0: 59:[64, 76, 81] Operation: 58+23=81
Exploring Operation: 76-23=53, Resulting Numbers: [64, 58, 53]
Generated Node #0,1: 59:[64, 58, 53] Operation: 76-23=53
Exploring Operation: 64+23=87, Resulting Numbers: [76, 58, 87]
Generated Node #0,2: 59:[76, 58, 87] Operation: 64+23=87
Exploring Operation: 64-23=41, Resulting Numbers: [76, 58, 41]
Generated Node #0,3: 59:[76, 58, 41] Operation: 64-23=41
Moving to Node #0,1
Current State: 59:[64, 58, 53], Operations: ['76-23=53']
Exploring Operation: 64-53=11, Resulting Numbers: [58, 11]
Generated Node #0,1,0: 59:[58, 11] Operation: 64-53=11
Exploring Operation: 58+53=111, Resulting Numbers: [64, 111]
Generated Node #0,1,1: 59:[64, 111] Operation: 58+53=111
Exploring Operation: 64-58=6, Resulting Numbers: [53, 6]
Generated Node #0,1,2: 59:[53, 6] Operation: 64-58=6
Exploring Operation: 64+53=117, Resulting Numbers: [58, 117]
Generated Node #0,1,3: 59:[58, 117] Operation: 64+53=117
Moving to Node #0,3
Current State: 59:[76, 58, 41], Operations: ['64-23=41']
Exploring Operation: 76-41=35, Resulting Numbers: [58, 35]
Generated Node #0,3,0: 59:[58, 35] Operation: 76-41=35
Exploring Operation: 58+41=99, Resulting Numbers: [76, 99]
Generated Node #0,3,1: 59:[76, 99] Operation: 58+41=99
Exploring Operation: 76-58=18, Resulting Numbers: [41, 18]
Generated Node #0,3,2: 59:[41, 18] Operation: 76-58=18
Exploring Operation: 76+41=117, Resulting Numbers: [58, 117]
Generated Node #0,3,3: 59:[58, 117] Operation: 76+41=117
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[58, 35], Operations: ['64-23=41', '76-41=35']
Exploring Operation: 58*35=2030, Resulting Numbers: [2030]
2030,59 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,59 unequal: No Solution
Exploring Operation: 58+35=93, Resulting Numbers: [93]
93,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[76, 99], Operations: ['64-23=41', '58+41=99']
Exploring Operation: 76*99=7524, Resulting Numbers: [7524]
7524,59 unequal: No Solution
Exploring Operation: 99-76=23, Resulting Numbers: [23]
23,59 unequal: No Solution
Exploring Operation: 76+99=175, Resulting Numbers: [175]
175,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[41, 18], Operations: ['64-23=41', '76-58=18']
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[64, 76, 58, 23], Operations: []
Exploring Operation: 64-23=41, Resulting Numbers: [76, 58, 41]
Generated Node #0,3: 59:[76, 58, 41] Operation: 64-23=41
Moving to Node #0,3
Current State: 59:[76, 58, 41], Operations: ['64-23=41']
Exploring Operation: 76-58=18, Resulting Numbers: [41, 18]
Generated Node #0,3,2: 59:[41, 18] Operation: 76-58=18
Moving to Node #0,3,2
Current State: 59:[41, 18], Operations: ['64-23=41', '76-58=18']
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | mult_heuristic |
[
55,
4,
20,
60
] | 85 | [
"60-55=5",
"4*20=80",
"5+80=85"
] | Current State: 85:[55, 4, 20, 60], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [4, 20, 5]
Generated Node #2: [4, 20, 5] from Operation: 60-55=5
Current State: 85:[4, 20, 5], Operations: ['60-55=5']
Exploring Operation: 4*20=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 4*20=80
Current State: 85:[5, 80], Operations: ['60-55=5', '4*20=80']
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[55, 4, 20, 60], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [55, 20, 15]
Generated Node #0,0: 85:[55, 20, 15] Operation: 60/4=15
Exploring Operation: 60-55=5, Resulting Numbers: [4, 20, 5]
Generated Node #0,1: 85:[4, 20, 5] Operation: 60-55=5
Exploring Operation: 60/20=3, Resulting Numbers: [55, 4, 3]
Generated Node #0,2: 85:[55, 4, 3] Operation: 60/20=3
Exploring Operation: 55+60=115, Resulting Numbers: [4, 20, 115]
Generated Node #0,3: 85:[4, 20, 115] Operation: 55+60=115
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[4, 20, 5], Operations: ['60-55=5']
Exploring Operation: 20/5=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 85:[4, 4] Operation: 20/5=4
Exploring Operation: 20-5=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 85:[4, 15] Operation: 20-5=15
Exploring Operation: 20-4=16, Resulting Numbers: [5, 16]
Generated Node #0,1,2: 85:[5, 16] Operation: 20-4=16
Exploring Operation: 20/4=5, Resulting Numbers: [5, 5]
Generated Node #0,1,3: 85:[5, 5] Operation: 20/4=5
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 85:[5, 5], Operations: ['60-55=5', '20/4=5']
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,85 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 85:[5, 16], Operations: ['60-55=5', '20-4=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,85 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[4, 4], Operations: ['60-55=5', '20/5=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,85 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,85 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[4, 15], Operations: ['60-55=5', '20-5=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,85 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[55, 4, 3], Operations: ['60/20=3']
Exploring Operation: 55-3=52, Resulting Numbers: [4, 52]
Generated Node #0,2,0: 85:[4, 52] Operation: 55-3=52
Exploring Operation: 4+3=7, Resulting Numbers: [55, 7]
Generated Node #0,2,1: 85:[55, 7] Operation: 4+3=7
Exploring Operation: 55+4=59, Resulting Numbers: [3, 59]
Generated Node #0,2,2: 85:[3, 59] Operation: 55+4=59
Exploring Operation: 55+3=58, Resulting Numbers: [4, 58]
Generated Node #0,2,3: 85:[4, 58] Operation: 55+3=58
Moving to Node #0,2,2
Current State: 85:[3, 59], Operations: ['60/20=3', '55+4=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,85 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,85 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,85 unequal: No Solution
Moving to Node #0,2,3
Current State: 85:[4, 58], Operations: ['60/20=3', '55+3=58']
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,85 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,85 unequal: No Solution
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[55, 7], Operations: ['60/20=3', '4+3=7']
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,85 unequal: No Solution
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,85 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[4, 52], Operations: ['60/20=3', '55-3=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,85 unequal: No Solution
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,85 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,85 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[4, 20, 115], Operations: ['55+60=115']
Exploring Operation: 115-4=111, Resulting Numbers: [20, 111]
Generated Node #0,3,0: 85:[20, 111] Operation: 115-4=111
Exploring Operation: 20/4=5, Resulting Numbers: [115, 5]
Generated Node #0,3,1: 85:[115, 5] Operation: 20/4=5
Exploring Operation: 115-20=95, Resulting Numbers: [4, 95]
Generated Node #0,3,2: 85:[4, 95] Operation: 115-20=95
Exploring Operation: 20-4=16, Resulting Numbers: [115, 16]
Generated Node #0,3,3: 85:[115, 16] Operation: 20-4=16
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 85:[4, 95], Operations: ['55+60=115', '115-20=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,85 unequal: No Solution
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 4*95=380, Resulting Numbers: [380]
380,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 85:[20, 111], Operations: ['55+60=115', '115-4=111']
Exploring Operation: 20+111=131, Resulting Numbers: [131]
131,85 unequal: No Solution
Exploring Operation: 111-20=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 20*111=2220, Resulting Numbers: [2220]
2220,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 85:[115, 5], Operations: ['55+60=115', '20/4=5']
Exploring Operation: 115+5=120, Resulting Numbers: [120]
120,85 unequal: No Solution
Exploring Operation: 115*5=575, Resulting Numbers: [575]
575,85 unequal: No Solution
Exploring Operation: 115-5=110, Resulting Numbers: [110]
110,85 unequal: No Solution
Exploring Operation: 115/5=23, Resulting Numbers: [23]
23,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 85:[115, 16], Operations: ['55+60=115', '20-4=16']
Exploring Operation: 115*16=1840, Resulting Numbers: [1840]
1840,85 unequal: No Solution
Exploring Operation: 115+16=131, Resulting Numbers: [131]
131,85 unequal: No Solution
Exploring Operation: 115-16=99, Resulting Numbers: [99]
99,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[55, 20, 15], Operations: ['60/4=15']
Exploring Operation: 55-20=35, Resulting Numbers: [15, 35]
Generated Node #0,0,0: 85:[15, 35] Operation: 55-20=35
Exploring Operation: 55+20=75, Resulting Numbers: [15, 75]
Generated Node #0,0,1: 85:[15, 75] Operation: 55+20=75
Exploring Operation: 55-15=40, Resulting Numbers: [20, 40]
Generated Node #0,0,2: 85:[20, 40] Operation: 55-15=40
Exploring Operation: 55+15=70, Resulting Numbers: [20, 70]
Generated Node #0,0,3: 85:[20, 70] Operation: 55+15=70
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[15, 75], Operations: ['60/4=15', '55+20=75']
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 85:[20, 70], Operations: ['60/4=15', '55+15=70']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,85 unequal: No Solution
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,85 unequal: No Solution
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[15, 35], Operations: ['60/4=15', '55-20=35']
Exploring Operation: 15*35=525, Resulting Numbers: [525]
525,85 unequal: No Solution
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[20, 40], Operations: ['60/4=15', '55-15=40']
Exploring Operation: 20*40=800, Resulting Numbers: [800]
800,85 unequal: No Solution
Exploring Operation: 20+40=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,85 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
59,
54,
57,
58
] | 31 | [
"59-57=2",
"54/2=27",
"58-27=31"
] | Current State: 31:[59, 54, 57, 58], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [54, 58, 2]
Generated Node #2: [54, 58, 2] from Operation: 59-57=2
Current State: 31:[54, 58, 2], Operations: ['59-57=2']
Exploring Operation: 54/2=27, Resulting Numbers: [58, 27]
Generated Node #3: [58, 27] from Operation: 54/2=27
Current State: 31:[58, 27], Operations: ['59-57=2', '54/2=27']
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[59, 54, 57, 58], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [54, 57, 1]
Generated Node #0,0: 31:[54, 57, 1] Operation: 59-58=1
Exploring Operation: 58-57=1, Resulting Numbers: [59, 54, 1]
Generated Node #0,1: 31:[59, 54, 1] Operation: 58-57=1
Exploring Operation: 58-54=4, Resulting Numbers: [59, 57, 4]
Generated Node #0,2: 31:[59, 57, 4] Operation: 58-54=4
Exploring Operation: 59-54=5, Resulting Numbers: [57, 58, 5]
Generated Node #0,3: 31:[57, 58, 5] Operation: 59-54=5
Exploring Operation: 59-57=2, Resulting Numbers: [54, 58, 2]
Generated Node #0,4: 31:[54, 58, 2] Operation: 59-57=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[54, 57, 1], Operations: ['59-58=1']
Exploring Operation: 54/1=54, Resulting Numbers: [57, 54]
Generated Node #0,0,0: 31:[57, 54] Operation: 54/1=54
Exploring Operation: 54*1=54, Resulting Numbers: [57, 54]
Generated Node #0,0,1: 31:[57, 54] Operation: 54*1=54
Exploring Operation: 57-1=56, Resulting Numbers: [54, 56]
Generated Node #0,0,2: 31:[54, 56] Operation: 57-1=56
Exploring Operation: 54-1=53, Resulting Numbers: [57, 53]
Generated Node #0,0,3: 31:[57, 53] Operation: 54-1=53
Exploring Operation: 57*1=57, Resulting Numbers: [54, 57]
Generated Node #0,0,4: 31:[54, 57] Operation: 57*1=57
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[54, 56], Operations: ['59-58=1', '57-1=56']
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 54+56=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 54*56=3024, Resulting Numbers: [3024]
3024,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 31:[57, 53], Operations: ['59-58=1', '54-1=53']
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,31 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[57, 54], Operations: ['59-58=1', '54/1=54']
Exploring Operation: 57+54=111, Resulting Numbers: [111]
111,31 unequal: No Solution
Exploring Operation: 57*54=3078, Resulting Numbers: [3078]
3078,31 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[57, 54], Operations: ['59-58=1', '54*1=54']
Exploring Operation: 57+54=111, Resulting Numbers: [111]
111,31 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 57*54=3078, Resulting Numbers: [3078]
3078,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 31:[54, 57], Operations: ['59-58=1', '57*1=57']
Exploring Operation: 54+57=111, Resulting Numbers: [111]
111,31 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 54*57=3078, Resulting Numbers: [3078]
3078,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[57, 58, 5], Operations: ['59-54=5']
Exploring Operation: 57-5=52, Resulting Numbers: [58, 52]
Generated Node #0,3,0: 31:[58, 52] Operation: 57-5=52
Exploring Operation: 58+5=63, Resulting Numbers: [57, 63]
Generated Node #0,3,1: 31:[57, 63] Operation: 58+5=63
Exploring Operation: 58-5=53, Resulting Numbers: [57, 53]
Generated Node #0,3,2: 31:[57, 53] Operation: 58-5=53
Exploring Operation: 57+5=62, Resulting Numbers: [58, 62]
Generated Node #0,3,3: 31:[58, 62] Operation: 57+5=62
Exploring Operation: 58-57=1, Resulting Numbers: [5, 1]
Generated Node #0,3,4: 31:[5, 1] Operation: 58-57=1
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 31:[58, 52], Operations: ['59-54=5', '57-5=52']
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 58+52=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 58*52=3016, Resulting Numbers: [3016]
3016,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 31:[57, 53], Operations: ['59-54=5', '58-5=53']
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,31 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 31:[5, 1], Operations: ['59-54=5', '58-57=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 31:[57, 63], Operations: ['59-54=5', '58+5=63']
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,31 unequal: No Solution
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 31:[58, 62], Operations: ['59-54=5', '57+5=62']
Exploring Operation: 58+62=120, Resulting Numbers: [120]
120,31 unequal: No Solution
Exploring Operation: 58*62=3596, Resulting Numbers: [3596]
3596,31 unequal: No Solution
Exploring Operation: 62-58=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 31:[54, 58, 2], Operations: ['59-57=2']
Exploring Operation: 54+2=56, Resulting Numbers: [58, 56]
Generated Node #0,4,0: 31:[58, 56] Operation: 54+2=56
Exploring Operation: 54-2=52, Resulting Numbers: [58, 52]
Generated Node #0,4,1: 31:[58, 52] Operation: 54-2=52
Exploring Operation: 58-2=56, Resulting Numbers: [54, 56]
Generated Node #0,4,2: 31:[54, 56] Operation: 58-2=56
Exploring Operation: 54/2=27, Resulting Numbers: [58, 27]
Generated Node #0,4,3: 31:[58, 27] Operation: 54/2=27
Exploring Operation: 58/2=29, Resulting Numbers: [54, 29]
Generated Node #0,4,4: 31:[54, 29] Operation: 58/2=29
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 31:[54, 29], Operations: ['59-57=2', '58/2=29']
Exploring Operation: 54*29=1566, Resulting Numbers: [1566]
1566,31 unequal: No Solution
Exploring Operation: 54+29=83, Resulting Numbers: [83]
83,31 unequal: No Solution
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 31:[58, 27], Operations: ['59-57=2', '54/2=27']
Exploring Operation: 58+27=85, Resulting Numbers: [85]
85,31 unequal: No Solution
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[59, 54, 57, 58], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [54, 58, 2]
Generated Node #0,4: 31:[54, 58, 2] Operation: 59-57=2
Moving to Node #0,4
Current State: 31:[54, 58, 2], Operations: ['59-57=2']
Exploring Operation: 54/2=27, Resulting Numbers: [58, 27]
Generated Node #0,4,3: 31:[58, 27] Operation: 54/2=27
Moving to Node #0,4,3
Current State: 31:[58, 27], Operations: ['59-57=2', '54/2=27']
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.947917 | hs_5 | mult_heuristic |
[
23,
9,
17,
22
] | 37 | [
"23+9=32",
"22-17=5",
"32+5=37"
] | Current State: 37:[23, 9, 17, 22], Operations: []
Exploring Operation: 23+9=32, Resulting Numbers: [17, 22, 32]
Generated Node #2: [17, 22, 32] from Operation: 23+9=32
Current State: 37:[17, 22, 32], Operations: ['23+9=32']
Exploring Operation: 22-17=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 22-17=5
Current State: 37:[32, 5], Operations: ['23+9=32', '22-17=5']
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[23, 9, 17, 22], Operations: []
Exploring Operation: 23+9=32, Resulting Numbers: [17, 22, 32]
Generated Node #0,0: 37:[17, 22, 32] Operation: 23+9=32
Exploring Operation: 9+17=26, Resulting Numbers: [23, 22, 26]
Generated Node #0,1: 37:[23, 22, 26] Operation: 9+17=26
Moving to Node #0,0
Current State: 37:[17, 22, 32], Operations: ['23+9=32']
Exploring Operation: 17+32=49, Resulting Numbers: [22, 49]
Generated Node #0,0,0: 37:[22, 49] Operation: 17+32=49
Exploring Operation: 17+22=39, Resulting Numbers: [32, 39]
Generated Node #0,0,1: 37:[32, 39] Operation: 17+22=39
Moving to Node #0,1
Current State: 37:[23, 22, 26], Operations: ['9+17=26']
Exploring Operation: 22+26=48, Resulting Numbers: [23, 48]
Generated Node #0,1,0: 37:[23, 48] Operation: 22+26=48
Exploring Operation: 23+22=45, Resulting Numbers: [26, 45]
Generated Node #0,1,1: 37:[26, 45] Operation: 23+22=45
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[26, 45], Operations: ['9+17=26', '23+22=45']
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,37 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[23, 48], Operations: ['9+17=26', '22+26=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,37 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: 37:[32, 39], Operations: ['23+9=32', '17+22=39']
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,37 unequal: No Solution
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[22, 49], Operations: ['23+9=32', '17+32=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 22+49=71, Resulting Numbers: [71]
71,37 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
15,
80,
47
] | 31 | [
"17-15=2",
"80-47=33",
"33-2=31"
] | Current State: 31:[17, 15, 80, 47], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [80, 47, 2]
Generated Node #2: [80, 47, 2] from Operation: 17-15=2
Current State: 31:[80, 47, 2], Operations: ['17-15=2']
Exploring Operation: 80-47=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 80-47=33
Current State: 31:[2, 33], Operations: ['17-15=2', '80-47=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[17, 15, 80, 47], Operations: []
Exploring Operation: 80-17=63, Resulting Numbers: [15, 47, 63]
Generated Node #0,0: 31:[15, 47, 63] Operation: 80-17=63
Exploring Operation: 80-47=33, Resulting Numbers: [17, 15, 33]
Generated Node #0,1: 31:[17, 15, 33] Operation: 80-47=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[17, 15, 33], Operations: ['80-47=33']
Exploring Operation: 33-15=18, Resulting Numbers: [17, 18]
Generated Node #0,1,0: 31:[17, 18] Operation: 33-15=18
Exploring Operation: 17+15=32, Resulting Numbers: [33, 32]
Generated Node #0,1,1: 31:[33, 32] Operation: 17+15=32
Moving to Node #0,1,1
Current State: 31:[33, 32], Operations: ['80-47=33', '17+15=32']
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
Moving to Node #0,1,0
Current State: 31:[17, 18], Operations: ['80-47=33', '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
No 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: 31:[15, 47, 63], Operations: ['80-17=63']
Exploring Operation: 63-47=16, Resulting Numbers: [15, 16]
Generated Node #0,0,0: 31:[15, 16] Operation: 63-47=16
Exploring Operation: 47-15=32, Resulting Numbers: [63, 32]
Generated Node #0,0,1: 31:[63, 32] Operation: 47-15=32
Moving to Node #0,0,0
Current State: 31:[15, 16], Operations: ['80-17=63', '63-47=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[17, 15, 80, 47], Operations: []
Exploring Operation: 80-17=63, Resulting Numbers: [15, 47, 63]
Generated Node #0,0: 31:[15, 47, 63] Operation: 80-17=63
Moving to Node #0,0
Current State: 31:[15, 47, 63], Operations: ['80-17=63']
Exploring Operation: 63-47=16, Resulting Numbers: [15, 16]
Generated Node #0,0,0: 31:[15, 16] Operation: 63-47=16
Moving to Node #0,0,0
Current State: 31:[15, 16], Operations: ['80-17=63', '63-47=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
7,
95,
66,
10
] | 33 | [
"95+66=161",
"161/7=23",
"10+23=33"
] | Current State: 33:[7, 95, 66, 10], Operations: []
Exploring Operation: 95+66=161, Resulting Numbers: [7, 10, 161]
Generated Node #2: [7, 10, 161] from Operation: 95+66=161
Current State: 33:[7, 10, 161], Operations: ['95+66=161']
Exploring Operation: 161/7=23, Resulting Numbers: [10, 23]
Generated Node #3: [10, 23] from Operation: 161/7=23
Current State: 33:[10, 23], Operations: ['95+66=161', '161/7=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[7, 95, 66, 10], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [7, 10, 29]
Generated Node #0,0: 33:[7, 10, 29] Operation: 95-66=29
Exploring Operation: 66-7=59, Resulting Numbers: [95, 10, 59]
Generated Node #0,1: 33:[95, 10, 59] Operation: 66-7=59
Exploring Operation: 95-7=88, Resulting Numbers: [66, 10, 88]
Generated Node #0,2: 33:[66, 10, 88] Operation: 95-7=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[7, 10, 29], Operations: ['95-66=29']
Exploring Operation: 7+10=17, Resulting Numbers: [29, 17]
Generated Node #0,0,0: 33:[29, 17] Operation: 7+10=17
Exploring Operation: 10-7=3, Resulting Numbers: [29, 3]
Generated Node #0,0,1: 33:[29, 3] Operation: 10-7=3
Exploring Operation: 7+29=36, Resulting Numbers: [10, 36]
Generated Node #0,0,2: 33:[10, 36] Operation: 7+29=36
Moving to Node #0,0,1
Current State: 33:[29, 3], Operations: ['95-66=29', '10-7=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[10, 36], Operations: ['95-66=29', '7+29=36']
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[29, 17], Operations: ['95-66=29', '7+10=17']
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,33 unequal: No Solution
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,33 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:[95, 10, 59], Operations: ['66-7=59']
Exploring Operation: 59-10=49, Resulting Numbers: [95, 49]
Generated Node #0,1,0: 33:[95, 49] Operation: 59-10=49
Exploring Operation: 95-59=36, Resulting Numbers: [10, 36]
Generated Node #0,1,1: 33:[10, 36] Operation: 95-59=36
Exploring Operation: 95-10=85, Resulting Numbers: [59, 85]
Generated Node #0,1,2: 33:[59, 85] Operation: 95-10=85
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[10, 36], Operations: ['66-7=59', '95-59=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,33 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,33 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:[95, 49], Operations: ['66-7=59', '59-10=49']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 95*49=4655, Resulting Numbers: [4655]
4655,33 unequal: No Solution
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,33 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:[59, 85], Operations: ['66-7=59', '95-10=85']
Exploring Operation: 59+85=144, Resulting Numbers: [144]
144,33 unequal: No Solution
Exploring Operation: 59*85=5015, Resulting Numbers: [5015]
5015,33 unequal: No Solution
Exploring Operation: 85-59=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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[66, 10, 88], Operations: ['95-7=88']
Exploring Operation: 66-10=56, Resulting Numbers: [88, 56]
Generated Node #0,2,0: 33:[88, 56] Operation: 66-10=56
Exploring Operation: 88-10=78, Resulting Numbers: [66, 78]
Generated Node #0,2,1: 33:[66, 78] Operation: 88-10=78
Exploring Operation: 88-66=22, Resulting Numbers: [10, 22]
Generated Node #0,2,2: 33:[10, 22] Operation: 88-66=22
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[10, 22], Operations: ['95-7=88', '88-66=22']
Exploring Operation: 10+22=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 10*22=220, Resulting Numbers: [220]
220,33 unequal: No Solution
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,33 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 #0,2,0
Current State: 33:[88, 56], Operations: ['95-7=88', '66-10=56']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 88+56=144, Resulting Numbers: [144]
144,33 unequal: No Solution
Exploring Operation: 88*56=4928, Resulting Numbers: [4928]
4928,33 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 #0,2,1
Current State: 33:[66, 78], Operations: ['95-7=88', '88-10=78']
Exploring Operation: 66+78=144, Resulting Numbers: [144]
144,33 unequal: No Solution
Exploring Operation: 78-66=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 66*78=5148, Resulting Numbers: [5148]
5148,33 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_3 | mult_heuristic |
[
77,
19,
71,
74
] | 30 | [
"77-74=3",
"19+71=90",
"90/3=30"
] | Current State: 30:[77, 19, 71, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [19, 71, 3]
Generated Node #2: [19, 71, 3] from Operation: 77-74=3
Current State: 30:[19, 71, 3], Operations: ['77-74=3']
Exploring Operation: 19+71=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 19+71=90
Current State: 30:[3, 90], Operations: ['77-74=3', '19+71=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[77, 19, 71, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [19, 71, 3]
Generated Node #0,0: 30:[19, 71, 3] Operation: 77-74=3
Exploring Operation: 77-71=6, Resulting Numbers: [19, 74, 6]
Generated Node #0,1: 30:[19, 74, 6] Operation: 77-71=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[19, 71, 3], Operations: ['77-74=3']
Exploring Operation: 71-19=52, Resulting Numbers: [3, 52]
Generated Node #0,0,0: 30:[3, 52] Operation: 71-19=52
Exploring Operation: 19-3=16, Resulting Numbers: [71, 16]
Generated Node #0,0,1: 30:[71, 16] Operation: 19-3=16
Moving to Node #0,0,0
Current State: 30:[3, 52], Operations: ['77-74=3', '71-19=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[71, 16], Operations: ['77-74=3', '19-3=16']
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[19, 74, 6], Operations: ['77-71=6']
Exploring Operation: 74-19=55, Resulting Numbers: [6, 55]
Generated Node #0,1,0: 30:[6, 55] Operation: 74-19=55
Exploring Operation: 74-6=68, Resulting Numbers: [19, 68]
Generated Node #0,1,1: 30:[19, 68] Operation: 74-6=68
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[6, 55], Operations: ['77-71=6', '74-19=55']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[19, 68], Operations: ['77-71=6', '74-6=68']
Exploring Operation: 68-19=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
63,
85,
27,
61
] | 29 | [
"63-61=2",
"85-27=58",
"58/2=29"
] | Current State: 29:[63, 85, 27, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [85, 27, 2]
Generated Node #2: [85, 27, 2] from Operation: 63-61=2
Current State: 29:[85, 27, 2], Operations: ['63-61=2']
Exploring Operation: 85-27=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 85-27=58
Current State: 29:[2, 58], Operations: ['63-61=2', '85-27=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[63, 85, 27, 61], Operations: []
Exploring Operation: 85-63=22, Resulting Numbers: [27, 61, 22]
Generated Node #0,0: 29:[27, 61, 22] Operation: 85-63=22
Exploring Operation: 63-61=2, Resulting Numbers: [85, 27, 2]
Generated Node #0,1: 29:[85, 27, 2] Operation: 63-61=2
Exploring Operation: 85-61=24, Resulting Numbers: [63, 27, 24]
Generated Node #0,2: 29:[63, 27, 24] Operation: 85-61=24
Moving to Node #0,0
Current State: 29:[27, 61, 22], Operations: ['85-63=22']
Exploring Operation: 61-27=34, Resulting Numbers: [22, 34]
Generated Node #0,0,0: 29:[22, 34] Operation: 61-27=34
Exploring Operation: 61-22=39, Resulting Numbers: [27, 39]
Generated Node #0,0,1: 29:[27, 39] Operation: 61-22=39
Exploring Operation: 27+22=49, Resulting Numbers: [61, 49]
Generated Node #0,0,2: 29:[61, 49] Operation: 27+22=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[22, 34], Operations: ['85-63=22', '61-27=34']
Exploring Operation: 22*34=748, Resulting Numbers: [748]
748,29 unequal: No Solution
Exploring Operation: 22+34=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[27, 39], Operations: ['85-63=22', '61-22=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,29 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[61, 49], Operations: ['85-63=22', '27+22=49']
Exploring Operation: 61-49=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 61*49=2989, Resulting Numbers: [2989]
2989,29 unequal: No Solution
Exploring Operation: 61+49=110, Resulting Numbers: [110]
110,29 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: 29:[63, 27, 24], Operations: ['85-61=24']
Exploring Operation: 27+24=51, Resulting Numbers: [63, 51]
Generated Node #0,2,0: 29:[63, 51] Operation: 27+24=51
Exploring Operation: 63-24=39, Resulting Numbers: [27, 39]
Generated Node #0,2,1: 29:[27, 39] Operation: 63-24=39
Exploring Operation: 63-27=36, Resulting Numbers: [24, 36]
Generated Node #0,2,2: 29:[24, 36] Operation: 63-27=36
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[27, 39], Operations: ['85-61=24', '63-24=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[24, 36], Operations: ['85-61=24', '63-27=36']
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 24*36=864, Resulting Numbers: [864]
864,29 unequal: No Solution
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[63, 51], Operations: ['85-61=24', '27+24=51']
Exploring Operation: 63*51=3213, Resulting Numbers: [3213]
3213,29 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,29 unequal: No Solution
Exploring Operation: 63+51=114, Resulting Numbers: [114]
114,29 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: 29:[85, 27, 2], Operations: ['63-61=2']
Exploring Operation: 85-2=83, Resulting Numbers: [27, 83]
Generated Node #0,1,0: 29:[27, 83] Operation: 85-2=83
Exploring Operation: 85-27=58, Resulting Numbers: [2, 58]
Generated Node #0,1,1: 29:[2, 58] Operation: 85-27=58
Exploring Operation: 27+2=29, Resulting Numbers: [85, 29]
Generated Node #0,1,2: 29:[85, 29] Operation: 27+2=29
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[27, 83], Operations: ['63-61=2', '85-2=83']
Exploring Operation: 27+83=110, Resulting Numbers: [110]
110,29 unequal: No Solution
Exploring Operation: 27*83=2241, Resulting Numbers: [2241]
2241,29 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[2, 58], Operations: ['63-61=2', '85-27=58']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,29 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[63, 85, 27, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [85, 27, 2]
Generated Node #0,1: 29:[85, 27, 2] Operation: 63-61=2
Moving to Node #0,1
Current State: 29:[85, 27, 2], Operations: ['63-61=2']
Exploring Operation: 85-27=58, Resulting Numbers: [2, 58]
Generated Node #0,1,1: 29:[2, 58] Operation: 85-27=58
Moving to Node #0,1,1
Current State: 29:[2, 58], Operations: ['63-61=2', '85-27=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_3 | sum_heuristic |
[
44,
48,
5,
73
] | 74 | [
"48-44=4",
"5+73=78",
"78-4=74"
] | Current State: 74:[44, 48, 5, 73], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [5, 73, 4]
Generated Node #2: [5, 73, 4] from Operation: 48-44=4
Current State: 74:[5, 73, 4], Operations: ['48-44=4']
Exploring Operation: 5+73=78, Resulting Numbers: [4, 78]
Generated Node #3: [4, 78] from Operation: 5+73=78
Current State: 74:[4, 78], Operations: ['48-44=4', '5+73=78']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[44, 48, 5, 73], Operations: []
Exploring Operation: 44-5=39, Resulting Numbers: [48, 73, 39]
Generated Node #0,0: 74:[48, 73, 39] Operation: 44-5=39
Exploring Operation: 48-44=4, Resulting Numbers: [5, 73, 4]
Generated Node #0,1: 74:[5, 73, 4] Operation: 48-44=4
Exploring Operation: 48-5=43, Resulting Numbers: [44, 73, 43]
Generated Node #0,2: 74:[44, 73, 43] Operation: 48-5=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[5, 73, 4], Operations: ['48-44=4']
Exploring Operation: 5+73=78, Resulting Numbers: [4, 78]
Generated Node #0,1,0: 74:[4, 78] Operation: 5+73=78
Exploring Operation: 73+4=77, Resulting Numbers: [5, 77]
Generated Node #0,1,1: 74:[5, 77] Operation: 73+4=77
Exploring Operation: 5-4=1, Resulting Numbers: [73, 1]
Generated Node #0,1,2: 74:[73, 1] Operation: 5-4=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 74:[73, 1], Operations: ['48-44=4', '5-4=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[44, 48, 5, 73], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [5, 73, 4]
Generated Node #0,1: 74:[5, 73, 4] Operation: 48-44=4
Moving to Node #0,1
Current State: 74:[5, 73, 4], Operations: ['48-44=4']
Exploring Operation: 5-4=1, Resulting Numbers: [73, 1]
Generated Node #0,1,2: 74:[73, 1] Operation: 5-4=1
Moving to Node #0,1,2
Current State: 74:[73, 1], Operations: ['48-44=4', '5-4=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
97,
80,
53,
87
] | 45 | [
"97-87=10",
"80/10=8",
"53-8=45"
] | Current State: 45:[97, 80, 53, 87], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [80, 53, 10]
Generated Node #2: [80, 53, 10] from Operation: 97-87=10
Current State: 45:[80, 53, 10], Operations: ['97-87=10']
Exploring Operation: 80/10=8, Resulting Numbers: [53, 8]
Generated Node #3: [53, 8] from Operation: 80/10=8
Current State: 45:[53, 8], Operations: ['97-87=10', '80/10=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[97, 80, 53, 87], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [80, 53, 10]
Generated Node #0,0: 45:[80, 53, 10] Operation: 97-87=10
Exploring Operation: 97-80=17, Resulting Numbers: [53, 87, 17]
Generated Node #0,1: 45:[53, 87, 17] Operation: 97-80=17
Exploring Operation: 87-53=34, Resulting Numbers: [97, 80, 34]
Generated Node #0,2: 45:[97, 80, 34] Operation: 87-53=34
Exploring Operation: 87-80=7, Resulting Numbers: [97, 53, 7]
Generated Node #0,3: 45:[97, 53, 7] Operation: 87-80=7
Exploring Operation: 97-53=44, Resulting Numbers: [80, 87, 44]
Generated Node #0,4: 45:[80, 87, 44] Operation: 97-53=44
Moving to Node #0,0
Current State: 45:[80, 53, 10], Operations: ['97-87=10']
Exploring Operation: 80/10=8, Resulting Numbers: [53, 8]
Generated Node #0,0,0: 45:[53, 8] Operation: 80/10=8
Exploring Operation: 80-53=27, Resulting Numbers: [10, 27]
Generated Node #0,0,1: 45:[10, 27] Operation: 80-53=27
Exploring Operation: 53-10=43, Resulting Numbers: [80, 43]
Generated Node #0,0,2: 45:[80, 43] Operation: 53-10=43
Exploring Operation: 80-10=70, Resulting Numbers: [53, 70]
Generated Node #0,0,3: 45:[53, 70] Operation: 80-10=70
Exploring Operation: 80+10=90, Resulting Numbers: [53, 90]
Generated Node #0,0,4: 45:[53, 90] Operation: 80+10=90
Moving to Node #0,1
Current State: 45:[53, 87, 17], Operations: ['97-80=17']
Exploring Operation: 87-17=70, Resulting Numbers: [53, 70]
Generated Node #0,1,0: 45:[53, 70] Operation: 87-17=70
Exploring Operation: 53+17=70, Resulting Numbers: [87, 70]
Generated Node #0,1,1: 45:[87, 70] Operation: 53+17=70
Exploring Operation: 87-53=34, Resulting Numbers: [17, 34]
Generated Node #0,1,2: 45:[17, 34] Operation: 87-53=34
Exploring Operation: 87+17=104, Resulting Numbers: [53, 104]
Generated Node #0,1,3: 45:[53, 104] Operation: 87+17=104
Exploring Operation: 53-17=36, Resulting Numbers: [87, 36]
Generated Node #0,1,4: 45:[87, 36] Operation: 53-17=36
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[17, 34], Operations: ['97-80=17', '87-53=34']
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Exploring Operation: 17*34=578, Resulting Numbers: [578]
578,45 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[53, 70], Operations: ['97-80=17', '87-17=70']
Exploring Operation: 53+70=123, Resulting Numbers: [123]
123,45 unequal: No Solution
Exploring Operation: 53*70=3710, Resulting Numbers: [3710]
3710,45 unequal: No Solution
Exploring Operation: 70-53=17, Resulting Numbers: [17]
17,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 45:[87, 36], Operations: ['97-80=17', '53-17=36']
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,45 unequal: No Solution
Exploring Operation: 87*36=3132, Resulting Numbers: [3132]
3132,45 unequal: No Solution
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[87, 70], Operations: ['97-80=17', '53+17=70']
Exploring Operation: 87+70=157, Resulting Numbers: [157]
157,45 unequal: No Solution
Exploring Operation: 87-70=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 87*70=6090, Resulting Numbers: [6090]
6090,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 45:[53, 104], Operations: ['97-80=17', '87+17=104']
Exploring Operation: 53*104=5512, Resulting Numbers: [5512]
5512,45 unequal: No Solution
Exploring Operation: 53+104=157, Resulting Numbers: [157]
157,45 unequal: No Solution
Exploring Operation: 104-53=51, Resulting Numbers: [51]
51,45 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: 45:[97, 53, 7], Operations: ['87-80=7']
Exploring Operation: 53-7=46, Resulting Numbers: [97, 46]
Generated Node #0,3,0: 45:[97, 46] Operation: 53-7=46
Exploring Operation: 53+7=60, Resulting Numbers: [97, 60]
Generated Node #0,3,1: 45:[97, 60] Operation: 53+7=60
Exploring Operation: 97-53=44, Resulting Numbers: [7, 44]
Generated Node #0,3,2: 45:[7, 44] Operation: 97-53=44
Exploring Operation: 97-7=90, Resulting Numbers: [53, 90]
Generated Node #0,3,3: 45:[53, 90] Operation: 97-7=90
Exploring Operation: 97+7=104, Resulting Numbers: [53, 104]
Generated Node #0,3,4: 45:[53, 104] Operation: 97+7=104
Moving to Node #0,4
Current State: 45:[80, 87, 44], Operations: ['97-53=44']
Exploring Operation: 87+44=131, Resulting Numbers: [80, 131]
Generated Node #0,4,0: 45:[80, 131] Operation: 87+44=131
Exploring Operation: 87-44=43, Resulting Numbers: [80, 43]
Generated Node #0,4,1: 45:[80, 43] Operation: 87-44=43
Exploring Operation: 87-80=7, Resulting Numbers: [44, 7]
Generated Node #0,4,2: 45:[44, 7] Operation: 87-80=7
Exploring Operation: 80-44=36, Resulting Numbers: [87, 36]
Generated Node #0,4,3: 45:[87, 36] Operation: 80-44=36
Exploring Operation: 80+44=124, Resulting Numbers: [87, 124]
Generated Node #0,4,4: 45:[87, 124] Operation: 80+44=124
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 45:[44, 7], Operations: ['97-53=44', '87-80=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 45:[80, 43], Operations: ['97-53=44', '87-44=43']
Exploring Operation: 80-43=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Exploring Operation: 80*43=3440, Resulting Numbers: [3440]
3440,45 unequal: No Solution
Exploring Operation: 80+43=123, Resulting Numbers: [123]
123,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 45:[87, 36], Operations: ['97-53=44', '80-44=36']
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,45 unequal: No Solution
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 87*36=3132, Resulting Numbers: [3132]
3132,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 45:[80, 131], Operations: ['97-53=44', '87+44=131']
Exploring Operation: 80+131=211, Resulting Numbers: [211]
211,45 unequal: No Solution
Exploring Operation: 80*131=10480, Resulting Numbers: [10480]
10480,45 unequal: No Solution
Exploring Operation: 131-80=51, Resulting Numbers: [51]
51,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 45:[87, 124], Operations: ['97-53=44', '80+44=124']
Exploring Operation: 87*124=10788, Resulting Numbers: [10788]
10788,45 unequal: No Solution
Exploring Operation: 87+124=211, Resulting Numbers: [211]
211,45 unequal: No Solution
Exploring Operation: 124-87=37, Resulting Numbers: [37]
37,45 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: 45:[97, 80, 34], Operations: ['87-53=34']
Exploring Operation: 97+34=131, Resulting Numbers: [80, 131]
Generated Node #0,2,0: 45:[80, 131] Operation: 97+34=131
Exploring Operation: 97-80=17, Resulting Numbers: [34, 17]
Generated Node #0,2,1: 45:[34, 17] Operation: 97-80=17
Exploring Operation: 80+34=114, Resulting Numbers: [97, 114]
Generated Node #0,2,2: 45:[97, 114] Operation: 80+34=114
Exploring Operation: 80-34=46, Resulting Numbers: [97, 46]
Generated Node #0,2,3: 45:[97, 46] Operation: 80-34=46
Exploring Operation: 97-34=63, Resulting Numbers: [80, 63]
Generated Node #0,2,4: 45:[80, 63] Operation: 97-34=63
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 45:[34, 17], Operations: ['87-53=34', '97-80=17']
Exploring Operation: 34*17=578, Resulting Numbers: [578]
578,45 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 45:[97, 46], Operations: ['87-53=34', '80-34=46']
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 97*46=4462, Resulting Numbers: [4462]
4462,45 unequal: No Solution
Exploring Operation: 97+46=143, Resulting Numbers: [143]
143,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 45:[80, 63], Operations: ['87-53=34', '97-34=63']
Exploring Operation: 80*63=5040, Resulting Numbers: [5040]
5040,45 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 80+63=143, Resulting Numbers: [143]
143,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[80, 131], Operations: ['87-53=34', '97+34=131']
Exploring Operation: 80+131=211, Resulting Numbers: [211]
211,45 unequal: No Solution
Exploring Operation: 80*131=10480, Resulting Numbers: [10480]
10480,45 unequal: No Solution
Exploring Operation: 131-80=51, Resulting Numbers: [51]
51,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[97, 114], Operations: ['87-53=34', '80+34=114']
Exploring Operation: 97+114=211, Resulting Numbers: [211]
211,45 unequal: No Solution
Exploring Operation: 97*114=11058, Resulting Numbers: [11058]
11058,45 unequal: No Solution
Exploring Operation: 114-97=17, Resulting Numbers: [17]
17,45 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: 45:[7, 44], Operations: ['87-80=7', '97-53=44']
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,45 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[53, 8], Operations: ['97-87=10', '80/10=8']
Exploring Operation: 53*8=424, Resulting Numbers: [424]
424,45 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[97, 80, 53, 87], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [80, 53, 10]
Generated Node #0,0: 45:[80, 53, 10] Operation: 97-87=10
Moving to Node #0,0
Current State: 45:[80, 53, 10], Operations: ['97-87=10']
Exploring Operation: 80/10=8, Resulting Numbers: [53, 8]
Generated Node #0,0,0: 45:[53, 8] Operation: 80/10=8
Moving to Node #0,0,0
Current State: 45:[53, 8], Operations: ['97-87=10', '80/10=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.925347 | hs_5 | sum_heuristic |
[
64,
74,
16,
25
] | 90 | [
"74-64=10",
"25-16=9",
"10*9=90"
] | Current State: 90:[64, 74, 16, 25], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [16, 25, 10]
Generated Node #2: [16, 25, 10] from Operation: 74-64=10
Current State: 90:[16, 25, 10], Operations: ['74-64=10']
Exploring Operation: 25-16=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 25-16=9
Current State: 90:[10, 9], Operations: ['74-64=10', '25-16=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[64, 74, 16, 25], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [74, 25, 4]
Generated Node #0,0: 90:[74, 25, 4] Operation: 64/16=4
Exploring Operation: 64-25=39, Resulting Numbers: [74, 16, 39]
Generated Node #0,1: 90:[74, 16, 39] Operation: 64-25=39
Exploring Operation: 64-16=48, Resulting Numbers: [74, 25, 48]
Generated Node #0,2: 90:[74, 25, 48] Operation: 64-16=48
Exploring Operation: 64+25=89, Resulting Numbers: [74, 16, 89]
Generated Node #0,3: 90:[74, 16, 89] Operation: 64+25=89
Exploring Operation: 74-64=10, Resulting Numbers: [16, 25, 10]
Generated Node #0,4: 90:[16, 25, 10] Operation: 74-64=10
Moving to Node #0,4
Current State: 90:[16, 25, 10], Operations: ['74-64=10']
Exploring Operation: 25-16=9, Resulting Numbers: [10, 9]
Generated Node #0,4,0: 90:[10, 9] Operation: 25-16=9
Exploring Operation: 25+10=35, Resulting Numbers: [16, 35]
Generated Node #0,4,1: 90:[16, 35] Operation: 25+10=35
Exploring Operation: 16+25=41, Resulting Numbers: [10, 41]
Generated Node #0,4,2: 90:[10, 41] Operation: 16+25=41
Exploring Operation: 25-10=15, Resulting Numbers: [16, 15]
Generated Node #0,4,3: 90:[16, 15] Operation: 25-10=15
Exploring Operation: 16-10=6, Resulting Numbers: [25, 6]
Generated Node #0,4,4: 90:[25, 6] Operation: 16-10=6
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 90:[10, 9], Operations: ['74-64=10', '25-16=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[64, 74, 16, 25], Operations: []
Exploring Operation: 74-64=10, Resulting Numbers: [16, 25, 10]
Generated Node #0,4: 90:[16, 25, 10] Operation: 74-64=10
Moving to Node #0,4
Current State: 90:[16, 25, 10], Operations: ['74-64=10']
Exploring Operation: 25-16=9, Resulting Numbers: [10, 9]
Generated Node #0,4,0: 90:[10, 9] Operation: 25-16=9
Moving to Node #0,4,0
Current State: 90:[10, 9], Operations: ['74-64=10', '25-16=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
95,
49,
52,
2
] | 75 | [
"95-49=46",
"46/2=23",
"52+23=75"
] | Current State: 75:[95, 49, 52, 2], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [52, 2, 46]
Generated Node #2: [52, 2, 46] from Operation: 95-49=46
Current State: 75:[52, 2, 46], Operations: ['95-49=46']
Exploring Operation: 46/2=23, Resulting Numbers: [52, 23]
Generated Node #3: [52, 23] from Operation: 46/2=23
Current State: 75:[52, 23], Operations: ['95-49=46', '46/2=23']
Exploring Operation: 52+23=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[95, 49, 52, 2], Operations: []
Exploring Operation: 52-49=3, Resulting Numbers: [95, 2, 3]
Generated Node #0,0: 75:[95, 2, 3] Operation: 52-49=3
Exploring Operation: 95-52=43, Resulting Numbers: [49, 2, 43]
Generated Node #0,1: 75:[49, 2, 43] Operation: 95-52=43
Exploring Operation: 95-49=46, Resulting Numbers: [52, 2, 46]
Generated Node #0,2: 75:[52, 2, 46] Operation: 95-49=46
Moving to Node #0,0
Current State: 75:[95, 2, 3], Operations: ['52-49=3']
Exploring Operation: 95-3=92, Resulting Numbers: [2, 92]
Generated Node #0,0,0: 75:[2, 92] Operation: 95-3=92
Exploring Operation: 95-2=93, Resulting Numbers: [3, 93]
Generated Node #0,0,1: 75:[3, 93] Operation: 95-2=93
Exploring Operation: 2+3=5, Resulting Numbers: [95, 5]
Generated Node #0,0,2: 75:[95, 5] Operation: 2+3=5
Moving to Node #0,1
Current State: 75:[49, 2, 43], Operations: ['95-52=43']
Exploring Operation: 49-43=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 75:[2, 6] Operation: 49-43=6
Exploring Operation: 49+43=92, Resulting Numbers: [2, 92]
Generated Node #0,1,1: 75:[2, 92] Operation: 49+43=92
Exploring Operation: 2*43=86, Resulting Numbers: [49, 86]
Generated Node #0,1,2: 75:[49, 86] Operation: 2*43=86
Moving to Node #0,2
Current State: 75:[52, 2, 46], Operations: ['95-49=46']
Exploring Operation: 52/2=26, Resulting Numbers: [46, 26]
Generated Node #0,2,0: 75:[46, 26] Operation: 52/2=26
Exploring Operation: 52+46=98, Resulting Numbers: [2, 98]
Generated Node #0,2,1: 75:[2, 98] Operation: 52+46=98
Exploring Operation: 52-46=6, Resulting Numbers: [2, 6]
Generated Node #0,2,2: 75:[2, 6] Operation: 52-46=6
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 75:[2, 6], Operations: ['95-49=46', '52-46=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 75:[46, 26], Operations: ['95-49=46', '52/2=26']
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,75 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 46*26=1196, Resulting Numbers: [1196]
1196,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[2, 98], Operations: ['95-49=46', '52+46=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,75 unequal: No Solution
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,75 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: 75:[2, 6], Operations: ['95-52=43', '49-43=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[2, 92], Operations: ['52-49=3', '95-3=92']
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,75 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[2, 92], Operations: ['95-52=43', '49+43=92']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,75 unequal: No Solution
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[3, 93], Operations: ['52-49=3', '95-2=93']
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,75 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,75 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[95, 5], Operations: ['52-49=3', '2+3=5']
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,75 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[49, 86], Operations: ['95-52=43', '2*43=86']
Exploring Operation: 49*86=4214, Resulting Numbers: [4214]
4214,75 unequal: No Solution
Exploring Operation: 86-49=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Exploring Operation: 49+86=135, Resulting Numbers: [135]
135,75 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
96,
76,
23,
19
] | 62 | [
"96-76=20",
"23+19=42",
"20+42=62"
] | Current State: 62:[96, 76, 23, 19], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [23, 19, 20]
Generated Node #2: [23, 19, 20] from Operation: 96-76=20
Current State: 62:[23, 19, 20], Operations: ['96-76=20']
Exploring Operation: 23+19=42, Resulting Numbers: [20, 42]
Generated Node #3: [20, 42] from Operation: 23+19=42
Current State: 62:[20, 42], Operations: ['96-76=20', '23+19=42']
Exploring Operation: 20+42=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[96, 76, 23, 19], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [23, 19, 20]
Generated Node #0,0: 62:[23, 19, 20] Operation: 96-76=20
Exploring Operation: 96-19=77, Resulting Numbers: [76, 23, 77]
Generated Node #0,1: 62:[76, 23, 77] Operation: 96-19=77
Exploring Operation: 76-19=57, Resulting Numbers: [96, 23, 57]
Generated Node #0,2: 62:[96, 23, 57] Operation: 76-19=57
Exploring Operation: 96-23=73, Resulting Numbers: [76, 19, 73]
Generated Node #0,3: 62:[76, 19, 73] Operation: 96-23=73
Exploring Operation: 76/19=4, Resulting Numbers: [96, 23, 4]
Generated Node #0,4: 62:[96, 23, 4] Operation: 76/19=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[23, 19, 20], Operations: ['96-76=20']
Exploring Operation: 23-19=4, Resulting Numbers: [20, 4]
Generated Node #0,0,0: 62:[20, 4] Operation: 23-19=4
Exploring Operation: 20-19=1, Resulting Numbers: [23, 1]
Generated Node #0,0,1: 62:[23, 1] Operation: 20-19=1
Exploring Operation: 23+19=42, Resulting Numbers: [20, 42]
Generated Node #0,0,2: 62:[20, 42] Operation: 23+19=42
Exploring Operation: 23-20=3, Resulting Numbers: [19, 3]
Generated Node #0,0,3: 62:[19, 3] Operation: 23-20=3
Exploring Operation: 19+20=39, Resulting Numbers: [23, 39]
Generated Node #0,0,4: 62:[23, 39] Operation: 19+20=39
Moving to Node #0,0,1
Current State: 62:[23, 1], Operations: ['96-76=20', '20-19=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,62 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,62 unequal: No Solution
Moving to Node #0,0,3
Current State: 62:[19, 3], Operations: ['96-76=20', '23-20=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,62 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[20, 4], Operations: ['96-76=20', '23-19=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,62 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,62 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Moving to Node #0,0,4
Current State: 62:[23, 39], Operations: ['96-76=20', '19+20=39']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,62 unequal: No Solution
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,62 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[96, 76, 23, 19], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [23, 19, 20]
Generated Node #0,0: 62:[23, 19, 20] Operation: 96-76=20
Moving to Node #0,0
Current State: 62:[23, 19, 20], Operations: ['96-76=20']
Exploring Operation: 19+20=39, Resulting Numbers: [23, 39]
Generated Node #0,0,4: 62:[23, 39] Operation: 19+20=39
Moving to Node #0,0,4
Current State: 62:[23, 39], Operations: ['96-76=20', '19+20=39']
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | mult_heuristic |
[
51,
24,
31,
45
] | 54 | [
"51-31=20",
"24*45=1080",
"1080/20=54"
] | Current State: 54:[51, 24, 31, 45], Operations: []
Exploring Operation: 51-31=20, Resulting Numbers: [24, 45, 20]
Generated Node #2: [24, 45, 20] from Operation: 51-31=20
Current State: 54:[24, 45, 20], Operations: ['51-31=20']
Exploring Operation: 24*45=1080, Resulting Numbers: [20, 1080]
Generated Node #3: [20, 1080] from Operation: 24*45=1080
Current State: 54:[20, 1080], Operations: ['51-31=20', '24*45=1080']
Exploring Operation: 1080/20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[51, 24, 31, 45], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [24, 31, 6]
Generated Node #0,0: 54:[24, 31, 6] Operation: 51-45=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[24, 31, 6], Operations: ['51-45=6']
Exploring Operation: 24+31=55, Resulting Numbers: [6, 55]
Generated Node #0,0,0: 54:[6, 55] Operation: 24+31=55
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[6, 55], Operations: ['51-45=6', '24+31=55']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,54 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 |
[
3,
3,
32,
76
] | 29 | [
"3+32=35",
"3*35=105",
"105-76=29"
] | Current State: 29:[3, 3, 32, 76], Operations: []
Exploring Operation: 3+32=35, Resulting Numbers: [76, 35]
Generated Node #2: [76, 35] from Operation: 3+32=35
Current State: 29:[76, 35], Operations: ['3+32=35']
Exploring Operation: 3*35=105, Resulting Numbers: [76, 105]
Generated Node #3: [76, 105] from Operation: 3*35=105
Current State: 29:[76, 105], Operations: ['3+32=35', '3*35=105']
Exploring Operation: 105-76=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[3, 3, 32, 76], Operations: []
Exploring Operation: 3+3=6, Resulting Numbers: [32, 76, 6]
Generated Node #0,0: 29:[32, 76, 6] Operation: 3+3=6
Exploring Operation: 32-3=29, Resulting Numbers: [3, 76, 29]
Generated Node #0,1: 29:[3, 76, 29] Operation: 32-3=29
Exploring Operation: 3*3=9, Resulting Numbers: [32, 76, 9]
Generated Node #0,2: 29:[32, 76, 9] Operation: 3*3=9
Exploring Operation: 76-32=44, Resulting Numbers: [3, 3, 44]
Generated Node #0,3: 29:[3, 3, 44] Operation: 76-32=44
Exploring Operation: 76-3=73, Resulting Numbers: [3, 32, 73]
Generated Node #0,4: 29:[3, 32, 73] Operation: 76-3=73
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[3, 3, 44], Operations: ['76-32=44']
Exploring Operation: 44-3=41, Resulting Numbers: [3, 41]
Generated Node #0,3,0: 29:[3, 41] Operation: 44-3=41
Exploring Operation: 3*3=9, Resulting Numbers: [44, 9]
Generated Node #0,3,1: 29:[44, 9] Operation: 3*3=9
Exploring Operation: 3/3=1, Resulting Numbers: [44, 1]
Generated Node #0,3,2: 29:[44, 1] Operation: 3/3=1
Exploring Operation: 3+3=6, Resulting Numbers: [44, 6]
Generated Node #0,3,3: 29:[44, 6] Operation: 3+3=6
Exploring Operation: 44-3=41, Resulting Numbers: [3, 41]
Generated Node #0,3,4: 29:[3, 41] Operation: 44-3=41
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 29:[44, 9], Operations: ['76-32=44', '3*3=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,29 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 29:[3, 41], Operations: ['76-32=44', '44-3=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,29 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 29:[44, 6], Operations: ['76-32=44', '3+3=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,29 unequal: No Solution
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 29:[3, 41], Operations: ['76-32=44', '44-3=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,29 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 29:[44, 1], Operations: ['76-32=44', '3/3=1']
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,29 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[32, 76, 9], Operations: ['3*3=9']
Exploring Operation: 32-9=23, Resulting Numbers: [76, 23]
Generated Node #0,2,0: 29:[76, 23] Operation: 32-9=23
Exploring Operation: 76+9=85, Resulting Numbers: [32, 85]
Generated Node #0,2,1: 29:[32, 85] Operation: 76+9=85
Exploring Operation: 76-9=67, Resulting Numbers: [32, 67]
Generated Node #0,2,2: 29:[32, 67] Operation: 76-9=67
Exploring Operation: 76-32=44, Resulting Numbers: [9, 44]
Generated Node #0,2,3: 29:[9, 44] Operation: 76-32=44
Exploring Operation: 32+9=41, Resulting Numbers: [76, 41]
Generated Node #0,2,4: 29:[76, 41] Operation: 32+9=41
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 29:[9, 44], Operations: ['3*3=9', '76-32=44']
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,29 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 29:[32, 67], Operations: ['3*3=9', '76-9=67']
Exploring Operation: 67-32=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 32+67=99, Resulting Numbers: [99]
99,29 unequal: No Solution
Exploring Operation: 32*67=2144, Resulting Numbers: [2144]
2144,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 29:[76, 23], Operations: ['3*3=9', '32-9=23']
Exploring Operation: 76+23=99, Resulting Numbers: [99]
99,29 unequal: No Solution
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,29 unequal: No Solution
Exploring Operation: 76*23=1748, Resulting Numbers: [1748]
1748,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 29:[32, 85], Operations: ['3*3=9', '76+9=85']
Exploring Operation: 32+85=117, Resulting Numbers: [117]
117,29 unequal: No Solution
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,29 unequal: No Solution
Exploring Operation: 32*85=2720, Resulting Numbers: [2720]
2720,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 29:[76, 41], Operations: ['3*3=9', '32+9=41']
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,29 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,29 unequal: No Solution
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[32, 76, 6], Operations: ['3+3=6']
Exploring Operation: 76-32=44, Resulting Numbers: [6, 44]
Generated Node #0,0,0: 29:[6, 44] Operation: 76-32=44
Exploring Operation: 32-6=26, Resulting Numbers: [76, 26]
Generated Node #0,0,1: 29:[76, 26] Operation: 32-6=26
Exploring Operation: 76+6=82, Resulting Numbers: [32, 82]
Generated Node #0,0,2: 29:[32, 82] Operation: 76+6=82
Exploring Operation: 76-6=70, Resulting Numbers: [32, 70]
Generated Node #0,0,3: 29:[32, 70] Operation: 76-6=70
Exploring Operation: 32+6=38, Resulting Numbers: [76, 38]
Generated Node #0,0,4: 29:[76, 38] Operation: 32+6=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[6, 44], Operations: ['3+3=6', '76-32=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,29 unequal: No Solution
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 29:[32, 70], Operations: ['3+3=6', '76-6=70']
Exploring Operation: 32*70=2240, Resulting Numbers: [2240]
2240,29 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 32+70=102, Resulting Numbers: [102]
102,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[76, 26], Operations: ['3+3=6', '32-6=26']
Exploring Operation: 76*26=1976, Resulting Numbers: [1976]
1976,29 unequal: No Solution
Exploring Operation: 76+26=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 29:[32, 82], Operations: ['3+3=6', '76+6=82']
Exploring Operation: 32+82=114, Resulting Numbers: [114]
114,29 unequal: No Solution
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 32*82=2624, Resulting Numbers: [2624]
2624,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 29:[76, 38], Operations: ['3+3=6', '32+6=38']
Exploring Operation: 76*38=2888, Resulting Numbers: [2888]
2888,29 unequal: No Solution
Exploring Operation: 76+38=114, Resulting Numbers: [114]
114,29 unequal: No Solution
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 76/38=2, Resulting Numbers: [2]
2,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[3, 76, 29], Operations: ['32-3=29']
Exploring Operation: 76-3=73, Resulting Numbers: [29, 73]
Generated Node #0,1,0: 29:[29, 73] Operation: 76-3=73
Exploring Operation: 29-3=26, Resulting Numbers: [76, 26]
Generated Node #0,1,1: 29:[76, 26] Operation: 29-3=26
Exploring Operation: 76-29=47, Resulting Numbers: [3, 47]
Generated Node #0,1,2: 29:[3, 47] Operation: 76-29=47
Exploring Operation: 3+29=32, Resulting Numbers: [76, 32]
Generated Node #0,1,3: 29:[76, 32] Operation: 3+29=32
Exploring Operation: 3+76=79, Resulting Numbers: [29, 79]
Generated Node #0,1,4: 29:[29, 79] Operation: 3+76=79
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[29, 73], Operations: ['32-3=29', '76-3=73']
Exploring Operation: 29+73=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 29*73=2117, Resulting Numbers: [2117]
2117,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 29:[3, 47], Operations: ['32-3=29', '76-29=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[76, 26], Operations: ['32-3=29', '29-3=26']
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 76+26=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 76*26=1976, Resulting Numbers: [1976]
1976,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 29:[76, 32], Operations: ['32-3=29', '3+29=32']
Exploring Operation: 76+32=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 76*32=2432, Resulting Numbers: [2432]
2432,29 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 29:[29, 79], Operations: ['32-3=29', '3+76=79']
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 29+79=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 29*79=2291, Resulting Numbers: [2291]
2291,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 29:[3, 32, 73], Operations: ['76-3=73']
Exploring Operation: 3+73=76, Resulting Numbers: [32, 76]
Generated Node #0,4,0: 29:[32, 76] Operation: 3+73=76
Exploring Operation: 3+32=35, Resulting Numbers: [73, 35]
Generated Node #0,4,1: 29:[73, 35] Operation: 3+32=35
Exploring Operation: 73-3=70, Resulting Numbers: [32, 70]
Generated Node #0,4,2: 29:[32, 70] Operation: 73-3=70
Exploring Operation: 73-32=41, Resulting Numbers: [3, 41]
Generated Node #0,4,3: 29:[3, 41] Operation: 73-32=41
Exploring Operation: 32-3=29, Resulting Numbers: [73, 29]
Generated Node #0,4,4: 29:[73, 29] Operation: 32-3=29
Moving to Node #0,4,3
Current State: 29:[3, 41], Operations: ['76-3=73', '73-32=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,29 unequal: No Solution
Moving to Node #0,4,4
Current State: 29:[73, 29], Operations: ['76-3=73', '32-3=29']
Exploring Operation: 73*29=2117, Resulting Numbers: [2117]
2117,29 unequal: No Solution
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Exploring Operation: 73+29=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Moving to Node #0,4,2
Current State: 29:[32, 70], Operations: ['76-3=73', '73-3=70']
Exploring Operation: 32*70=2240, Resulting Numbers: [2240]
2240,29 unequal: No Solution
Exploring Operation: 32+70=102, Resulting Numbers: [102]
102,29 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Moving to Node #0,4,0
Current State: 29:[32, 76], Operations: ['76-3=73', '3+73=76']
Exploring Operation: 32*76=2432, Resulting Numbers: [2432]
2432,29 unequal: No Solution
Exploring Operation: 32+76=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Moving to Node #0,4,1
Current State: 29:[73, 35], Operations: ['76-3=73', '3+32=35']
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,29 unequal: No Solution
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,29 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 |
[
48,
9,
90,
20
] | 71 | [
"48-9=39",
"90+20=110",
"110-39=71"
] | Current State: 71:[48, 9, 90, 20], Operations: []
Exploring Operation: 48-9=39, Resulting Numbers: [90, 20, 39]
Generated Node #2: [90, 20, 39] from Operation: 48-9=39
Current State: 71:[90, 20, 39], Operations: ['48-9=39']
Exploring Operation: 90+20=110, Resulting Numbers: [39, 110]
Generated Node #3: [39, 110] from Operation: 90+20=110
Current State: 71:[39, 110], Operations: ['48-9=39', '90+20=110']
Exploring Operation: 110-39=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[48, 9, 90, 20], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [48, 9, 70]
Generated Node #0,0: 71:[48, 9, 70] Operation: 90-20=70
Exploring Operation: 48+20=68, Resulting Numbers: [9, 90, 68]
Generated Node #0,1: 71:[9, 90, 68] Operation: 48+20=68
Exploring Operation: 90-9=81, Resulting Numbers: [48, 20, 81]
Generated Node #0,2: 71:[48, 20, 81] Operation: 90-9=81
Exploring Operation: 48+9=57, Resulting Numbers: [90, 20, 57]
Generated Node #0,3: 71:[90, 20, 57] Operation: 48+9=57
Exploring Operation: 9+20=29, Resulting Numbers: [48, 90, 29]
Generated Node #0,4: 71:[48, 90, 29] Operation: 9+20=29
Moving to Node #0,1
Current State: 71:[9, 90, 68], Operations: ['48+20=68']
Exploring Operation: 9+90=99, Resulting Numbers: [68, 99]
Generated Node #0,1,0: 71:[68, 99] Operation: 9+90=99
Exploring Operation: 90/9=10, Resulting Numbers: [68, 10]
Generated Node #0,1,1: 71:[68, 10] Operation: 90/9=10
Exploring Operation: 9+68=77, Resulting Numbers: [90, 77]
Generated Node #0,1,2: 71:[90, 77] Operation: 9+68=77
Exploring Operation: 68-9=59, Resulting Numbers: [90, 59]
Generated Node #0,1,3: 71:[90, 59] Operation: 68-9=59
Exploring Operation: 90-9=81, Resulting Numbers: [68, 81]
Generated Node #0,1,4: 71:[68, 81] Operation: 90-9=81
Moving to Node #0,3
Current State: 71:[90, 20, 57], Operations: ['48+9=57']
Exploring Operation: 57-20=37, Resulting Numbers: [90, 37]
Generated Node #0,3,0: 71:[90, 37] Operation: 57-20=37
Exploring Operation: 90-57=33, Resulting Numbers: [20, 33]
Generated Node #0,3,1: 71:[20, 33] Operation: 90-57=33
Exploring Operation: 90-20=70, Resulting Numbers: [57, 70]
Generated Node #0,3,2: 71:[57, 70] Operation: 90-20=70
Exploring Operation: 20+57=77, Resulting Numbers: [90, 77]
Generated Node #0,3,3: 71:[90, 77] Operation: 20+57=77
Exploring Operation: 90+20=110, Resulting Numbers: [57, 110]
Generated Node #0,3,4: 71:[57, 110] Operation: 90+20=110
Moving to Node #0,2
Current State: 71:[48, 20, 81], Operations: ['90-9=81']
Exploring Operation: 48+20=68, Resulting Numbers: [81, 68]
Generated Node #0,2,0: 71:[81, 68] Operation: 48+20=68
Exploring Operation: 20+81=101, Resulting Numbers: [48, 101]
Generated Node #0,2,1: 71:[48, 101] Operation: 20+81=101
Exploring Operation: 48-20=28, Resulting Numbers: [81, 28]
Generated Node #0,2,2: 71:[81, 28] Operation: 48-20=28
Exploring Operation: 81-48=33, Resulting Numbers: [20, 33]
Generated Node #0,2,3: 71:[20, 33] Operation: 81-48=33
Exploring Operation: 81-20=61, Resulting Numbers: [48, 61]
Generated Node #0,2,4: 71:[48, 61] Operation: 81-20=61
Moving to Node #0,4
Current State: 71:[48, 90, 29], Operations: ['9+20=29']
Exploring Operation: 90-48=42, Resulting Numbers: [29, 42]
Generated Node #0,4,0: 71:[29, 42] Operation: 90-48=42
Exploring Operation: 90-29=61, Resulting Numbers: [48, 61]
Generated Node #0,4,1: 71:[48, 61] Operation: 90-29=61
Exploring Operation: 90+29=119, Resulting Numbers: [48, 119]
Generated Node #0,4,2: 71:[48, 119] Operation: 90+29=119
Exploring Operation: 48+29=77, Resulting Numbers: [90, 77]
Generated Node #0,4,3: 71:[90, 77] Operation: 48+29=77
Exploring Operation: 48-29=19, Resulting Numbers: [90, 19]
Generated Node #0,4,4: 71:[90, 19] Operation: 48-29=19
Moving to Node #0,0
Current State: 71:[48, 9, 70], Operations: ['90-20=70']
Exploring Operation: 9+70=79, Resulting Numbers: [48, 79]
Generated Node #0,0,0: 71:[48, 79] Operation: 9+70=79
Exploring Operation: 48-9=39, Resulting Numbers: [70, 39]
Generated Node #0,0,1: 71:[70, 39] Operation: 48-9=39
Exploring Operation: 48+70=118, Resulting Numbers: [9, 118]
Generated Node #0,0,2: 71:[9, 118] Operation: 48+70=118
Exploring Operation: 48+9=57, Resulting Numbers: [70, 57]
Generated Node #0,0,3: 71:[70, 57] Operation: 48+9=57
Exploring Operation: 70-9=61, Resulting Numbers: [48, 61]
Generated Node #0,0,4: 71:[48, 61] Operation: 70-9=61
Moving to Node #0,1,4
Current State: 71:[68, 81], Operations: ['48+20=68', '90-9=81']
Exploring Operation: 68+81=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 68*81=5508, Resulting Numbers: [5508]
5508,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[81, 68], Operations: ['90-9=81', '48+20=68']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 81+68=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 81*68=5508, Resulting Numbers: [5508]
5508,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[57, 70], Operations: ['48+9=57', '90-20=70']
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 57+70=127, Resulting Numbers: [127]
127,71 unequal: No Solution
Exploring Operation: 57*70=3990, Resulting Numbers: [3990]
3990,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[70, 57], Operations: ['90-20=70', '48+9=57']
Exploring Operation: 70+57=127, Resulting Numbers: [127]
127,71 unequal: No Solution
Exploring Operation: 70*57=3990, Resulting Numbers: [3990]
3990,71 unequal: No Solution
Exploring Operation: 70-57=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[90, 77], Operations: ['48+9=57', '20+57=77']
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,71 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[90, 77], Operations: ['48+20=68', '9+68=77']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,71 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Moving to Node #0,4,3
Current State: 71:[90, 77], Operations: ['9+20=29', '48+29=77']
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,71 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[68, 99], Operations: ['48+20=68', '9+90=99']
Exploring Operation: 68+99=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Exploring Operation: 99-68=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 68*99=6732, Resulting Numbers: [6732]
6732,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[48, 79], Operations: ['90-20=70', '9+70=79']
Exploring Operation: 48*79=3792, Resulting Numbers: [3792]
3792,71 unequal: No Solution
Exploring Operation: 48+79=127, Resulting Numbers: [127]
127,71 unequal: No Solution
Exploring Operation: 79-48=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Moving to Node #0,1,3
Current State: 71:[90, 59], Operations: ['48+20=68', '68-9=59']
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,71 unequal: No Solution
Moving to Node #0,0,4
Current State: 71:[48, 61], Operations: ['90-20=70', '70-9=61']
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,71 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[48, 61], Operations: ['90-9=81', '81-20=61']
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,71 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[70, 39], Operations: ['90-20=70', '48-9=39']
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 70*39=2730, Resulting Numbers: [2730]
2730,71 unequal: No Solution
Exploring Operation: 70+39=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[48, 61], Operations: ['9+20=29', '90-29=61']
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,71 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,71 unequal: No Solution
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[81, 28], Operations: ['90-9=81', '48-20=28']
Exploring Operation: 81*28=2268, Resulting Numbers: [2268]
2268,71 unequal: No Solution
Exploring Operation: 81+28=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[48, 101], Operations: ['90-9=81', '20+81=101']
Exploring Operation: 48+101=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 48*101=4848, Resulting Numbers: [4848]
4848,71 unequal: No Solution
Exploring Operation: 101-48=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Moving to Node #0,3,4
Current State: 71:[57, 110], Operations: ['48+9=57', '90+20=110']
Exploring Operation: 57*110=6270, Resulting Numbers: [6270]
6270,71 unequal: No Solution
Exploring Operation: 57+110=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Exploring Operation: 110-57=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[90, 37], Operations: ['48+9=57', '57-20=37']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Exploring Operation: 90*37=3330, Resulting Numbers: [3330]
3330,71 unequal: No Solution
Exploring Operation: 90+37=127, Resulting Numbers: [127]
127,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[68, 10], Operations: ['48+20=68', '90/9=10']
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,71 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,71 unequal: No Solution
Moving to Node #0,4,2
Current State: 71:[48, 119], Operations: ['9+20=29', '90+29=119']
Exploring Operation: 48*119=5712, Resulting Numbers: [5712]
5712,71 unequal: No Solution
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[48, 9, 90, 20], Operations: []
Exploring Operation: 9+20=29, Resulting Numbers: [48, 90, 29]
Generated Node #0,4: 71:[48, 90, 29] Operation: 9+20=29
Moving to Node #0,4
Current State: 71:[48, 90, 29], Operations: ['9+20=29']
Exploring Operation: 90+29=119, Resulting Numbers: [48, 119]
Generated Node #0,4,2: 71:[48, 119] Operation: 90+29=119
Moving to Node #0,4,2
Current State: 71:[48, 119], Operations: ['9+20=29', '90+29=119']
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 0.919271 | hs_5 | sum_heuristic |
[
36,
86,
50,
47
] | 48 | [
"86-36=50",
"50/50=1",
"47+1=48"
] | Current State: 48:[36, 86, 50, 47], Operations: []
Exploring Operation: 86-36=50, Resulting Numbers: [50, 47, 50]
Generated Node #2: [50, 47, 50] from Operation: 86-36=50
Current State: 48:[50, 47, 50], Operations: ['86-36=50']
Exploring Operation: 50/50=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 50/50=1
Current State: 48:[47, 1], Operations: ['86-36=50', '50/50=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[36, 86, 50, 47], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [86, 47, 14]
Generated Node #0,0: 48:[86, 47, 14] Operation: 50-36=14
Exploring Operation: 86-36=50, Resulting Numbers: [50, 47, 50]
Generated Node #0,1: 48:[50, 47, 50] Operation: 86-36=50
Exploring Operation: 47-36=11, Resulting Numbers: [86, 50, 11]
Generated Node #0,2: 48:[86, 50, 11] Operation: 47-36=11
Exploring Operation: 86-47=39, Resulting Numbers: [36, 50, 39]
Generated Node #0,3: 48:[36, 50, 39] Operation: 86-47=39
Exploring Operation: 86-50=36, Resulting Numbers: [36, 47, 36]
Generated Node #0,4: 48:[36, 47, 36] Operation: 86-50=36
Moving to Node #0,1
Current State: 48:[50, 47, 50], Operations: ['86-36=50']
Exploring Operation: 50-47=3, Resulting Numbers: [50, 3]
Generated Node #0,1,0: 48:[50, 3] Operation: 50-47=3
Exploring Operation: 50-50=0, Resulting Numbers: [47, 0]
Generated Node #0,1,1: 48:[47, 0] Operation: 50-50=0
Exploring Operation: 50+47=97, Resulting Numbers: [50, 97]
Generated Node #0,1,2: 48:[50, 97] Operation: 50+47=97
Exploring Operation: 50-47=3, Resulting Numbers: [50, 3]
Generated Node #0,1,3: 48:[50, 3] Operation: 50-47=3
Exploring Operation: 50/50=1, Resulting Numbers: [47, 1]
Generated Node #0,1,4: 48:[47, 1] Operation: 50/50=1
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[50, 3], Operations: ['86-36=50', '50-47=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,48 unequal: No Solution
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 48:[50, 3], Operations: ['86-36=50', '50-47=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,48 unequal: No Solution
Exploring Operation: 50*3=150, Resulting Numbers: [150]
150,48 unequal: No Solution
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 48:[47, 1], Operations: ['86-36=50', '50/50=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[36, 86, 50, 47], Operations: []
Exploring Operation: 86-36=50, Resulting Numbers: [50, 47, 50]
Generated Node #0,1: 48:[50, 47, 50] Operation: 86-36=50
Moving to Node #0,1
Current State: 48:[50, 47, 50], Operations: ['86-36=50']
Exploring Operation: 50/50=1, Resulting Numbers: [47, 1]
Generated Node #0,1,4: 48:[47, 1] Operation: 50/50=1
Moving to Node #0,1,4
Current State: 48:[47, 1], Operations: ['86-36=50', '50/50=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
51,
99,
85,
74
] | 37 | [
"99-51=48",
"85-74=11",
"48-11=37"
] | Current State: 37:[51, 99, 85, 74], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [85, 74, 48]
Generated Node #2: [85, 74, 48] from Operation: 99-51=48
Current State: 37:[85, 74, 48], Operations: ['99-51=48']
Exploring Operation: 85-74=11, Resulting Numbers: [48, 11]
Generated Node #3: [48, 11] from Operation: 85-74=11
Current State: 37:[48, 11], Operations: ['99-51=48', '85-74=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[51, 99, 85, 74], Operations: []
Exploring Operation: 99-74=25, Resulting Numbers: [51, 85, 25]
Generated Node #0,0: 37:[51, 85, 25] Operation: 99-74=25
Exploring Operation: 99-51=48, Resulting Numbers: [85, 74, 48]
Generated Node #0,1: 37:[85, 74, 48] Operation: 99-51=48
Exploring Operation: 99-85=14, Resulting Numbers: [51, 74, 14]
Generated Node #0,2: 37:[51, 74, 14] Operation: 99-85=14
Moving to Node #0,0
Current State: 37:[51, 85, 25], Operations: ['99-74=25']
Exploring Operation: 85-25=60, Resulting Numbers: [51, 60]
Generated Node #0,0,0: 37:[51, 60] Operation: 85-25=60
Exploring Operation: 85-51=34, Resulting Numbers: [25, 34]
Generated Node #0,0,1: 37:[25, 34] Operation: 85-51=34
Exploring Operation: 51-25=26, Resulting Numbers: [85, 26]
Generated Node #0,0,2: 37:[85, 26] Operation: 51-25=26
Moving to Node #0,2
Current State: 37:[51, 74, 14], Operations: ['99-85=14']
Exploring Operation: 74-51=23, Resulting Numbers: [14, 23]
Generated Node #0,2,0: 37:[14, 23] Operation: 74-51=23
Exploring Operation: 51-14=37, Resulting Numbers: [74, 37]
Generated Node #0,2,1: 37:[74, 37] Operation: 51-14=37
Exploring Operation: 74-14=60, Resulting Numbers: [51, 60]
Generated Node #0,2,2: 37:[51, 60] Operation: 74-14=60
Moving to Node #0,1
Current State: 37:[85, 74, 48], Operations: ['99-51=48']
Exploring Operation: 85-48=37, Resulting Numbers: [74, 37]
Generated Node #0,1,0: 37:[74, 37] Operation: 85-48=37
Exploring Operation: 74-48=26, Resulting Numbers: [85, 26]
Generated Node #0,1,1: 37:[85, 26] Operation: 74-48=26
Exploring Operation: 85-74=11, Resulting Numbers: [48, 11]
Generated Node #0,1,2: 37:[48, 11] Operation: 85-74=11
Moving to Node #0,0,1
Current State: 37:[25, 34], Operations: ['99-74=25', '85-51=34']
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,37 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,37 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[51, 60], Operations: ['99-85=14', '74-14=60']
Exploring Operation: 51*60=3060, Resulting Numbers: [3060]
3060,37 unequal: No Solution
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,37 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[74, 37], Operations: ['99-51=48', '85-48=37']
Exploring Operation: 74/37=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[51, 99, 85, 74], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [85, 74, 48]
Generated Node #0,1: 37:[85, 74, 48] Operation: 99-51=48
Moving to Node #0,1
Current State: 37:[85, 74, 48], Operations: ['99-51=48']
Exploring Operation: 85-48=37, Resulting Numbers: [74, 37]
Generated Node #0,1,0: 37:[74, 37] Operation: 85-48=37
Moving to Node #0,1,0
Current State: 37:[74, 37], Operations: ['99-51=48', '85-48=37']
Exploring Operation: 74-37=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.979167 | hs_3 | mult_heuristic |
[
97,
35,
28,
25
] | 78 | [
"35-28=7",
"25*7=175",
"175-97=78"
] | Current State: 78:[97, 35, 28, 25], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [97, 25, 7]
Generated Node #2: [97, 25, 7] from Operation: 35-28=7
Current State: 78:[97, 25, 7], Operations: ['35-28=7']
Exploring Operation: 25*7=175, Resulting Numbers: [97, 175]
Generated Node #3: [97, 175] from Operation: 25*7=175
Current State: 78:[97, 175], Operations: ['35-28=7', '25*7=175']
Exploring Operation: 175-97=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[97, 35, 28, 25], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [97, 35, 3]
Generated Node #0,0: 78:[97, 35, 3] Operation: 28-25=3
Exploring Operation: 97-35=62, Resulting Numbers: [28, 25, 62]
Generated Node #0,1: 78:[28, 25, 62] Operation: 97-35=62
Exploring Operation: 97-28=69, Resulting Numbers: [35, 25, 69]
Generated Node #0,2: 78:[35, 25, 69] Operation: 97-28=69
Exploring Operation: 35-28=7, Resulting Numbers: [97, 25, 7]
Generated Node #0,3: 78:[97, 25, 7] Operation: 35-28=7
Exploring Operation: 97-25=72, Resulting Numbers: [35, 28, 72]
Generated Node #0,4: 78:[35, 28, 72] Operation: 97-25=72
Moving to Node #0,4
Current State: 78:[35, 28, 72], Operations: ['97-25=72']
Exploring Operation: 28+72=100, Resulting Numbers: [35, 100]
Generated Node #0,4,0: 78:[35, 100] Operation: 28+72=100
Exploring Operation: 72-28=44, Resulting Numbers: [35, 44]
Generated Node #0,4,1: 78:[35, 44] Operation: 72-28=44
Exploring Operation: 35-28=7, Resulting Numbers: [72, 7]
Generated Node #0,4,2: 78:[72, 7] Operation: 35-28=7
Exploring Operation: 72-35=37, Resulting Numbers: [28, 37]
Generated Node #0,4,3: 78:[28, 37] Operation: 72-35=37
Exploring Operation: 35+28=63, Resulting Numbers: [72, 63]
Generated Node #0,4,4: 78:[72, 63] Operation: 35+28=63
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 78:[28, 37], Operations: ['97-25=72', '72-35=37']
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 78:[72, 7], Operations: ['97-25=72', '35-28=7']
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,78 unequal: No Solution
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 78:[35, 44], Operations: ['97-25=72', '72-28=44']
Exploring Operation: 35*44=1540, Resulting Numbers: [1540]
1540,78 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 35+44=79, Resulting Numbers: [79]
79,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 78:[72, 63], Operations: ['97-25=72', '35+28=63']
Exploring Operation: 72-63=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 72*63=4536, Resulting Numbers: [4536]
4536,78 unequal: No Solution
Exploring Operation: 72+63=135, Resulting Numbers: [135]
135,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 78:[35, 100], Operations: ['97-25=72', '28+72=100']
Exploring Operation: 35+100=135, Resulting Numbers: [135]
135,78 unequal: No Solution
Exploring Operation: 35*100=3500, Resulting Numbers: [3500]
3500,78 unequal: No Solution
Exploring Operation: 100-35=65, Resulting Numbers: [65]
65,78 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: 78:[35, 25, 69], Operations: ['97-28=69']
Exploring Operation: 25+69=94, Resulting Numbers: [35, 94]
Generated Node #0,2,0: 78:[35, 94] Operation: 25+69=94
Exploring Operation: 35+25=60, Resulting Numbers: [69, 60]
Generated Node #0,2,1: 78:[69, 60] Operation: 35+25=60
Exploring Operation: 35-25=10, Resulting Numbers: [69, 10]
Generated Node #0,2,2: 78:[69, 10] Operation: 35-25=10
Exploring Operation: 69-35=34, Resulting Numbers: [25, 34]
Generated Node #0,2,3: 78:[25, 34] Operation: 69-35=34
Exploring Operation: 69-25=44, Resulting Numbers: [35, 44]
Generated Node #0,2,4: 78:[35, 44] Operation: 69-25=44
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 78:[25, 34], Operations: ['97-28=69', '69-35=34']
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,78 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 78:[35, 44], Operations: ['97-28=69', '69-25=44']
Exploring Operation: 35*44=1540, Resulting Numbers: [1540]
1540,78 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 35+44=79, Resulting Numbers: [79]
79,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 78:[69, 10], Operations: ['97-28=69', '35-25=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 78:[35, 94], Operations: ['97-28=69', '25+69=94']
Exploring Operation: 35+94=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 35*94=3290, Resulting Numbers: [3290]
3290,78 unequal: No Solution
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[69, 60], Operations: ['97-28=69', '35+25=60']
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,78 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: 78:[28, 25, 62], Operations: ['97-35=62']
Exploring Operation: 28+62=90, Resulting Numbers: [25, 90]
Generated Node #0,1,0: 78:[25, 90] Operation: 28+62=90
Exploring Operation: 28-25=3, Resulting Numbers: [62, 3]
Generated Node #0,1,1: 78:[62, 3] Operation: 28-25=3
Exploring Operation: 62-25=37, Resulting Numbers: [28, 37]
Generated Node #0,1,2: 78:[28, 37] Operation: 62-25=37
Exploring Operation: 62-28=34, Resulting Numbers: [25, 34]
Generated Node #0,1,3: 78:[25, 34] Operation: 62-28=34
Exploring Operation: 25+62=87, Resulting Numbers: [28, 87]
Generated Node #0,1,4: 78:[28, 87] Operation: 25+62=87
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[28, 37], Operations: ['97-35=62', '62-25=37']
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,78 unequal: No Solution
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 78:[25, 34], Operations: ['97-35=62', '62-28=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,78 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 78:[28, 87], Operations: ['97-35=62', '25+62=87']
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 28+87=115, Resulting Numbers: [115]
115,78 unequal: No Solution
Exploring Operation: 28*87=2436, Resulting Numbers: [2436]
2436,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[25, 90], Operations: ['97-35=62', '28+62=90']
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 25+90=115, Resulting Numbers: [115]
115,78 unequal: No Solution
Exploring Operation: 25*90=2250, Resulting Numbers: [2250]
2250,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[62, 3], Operations: ['97-35=62', '28-25=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,78 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: 78:[97, 25, 7], Operations: ['35-28=7']
Exploring Operation: 97-25=72, Resulting Numbers: [7, 72]
Generated Node #0,3,0: 78:[7, 72] Operation: 97-25=72
Exploring Operation: 97+7=104, Resulting Numbers: [25, 104]
Generated Node #0,3,1: 78:[25, 104] Operation: 97+7=104
Exploring Operation: 97-7=90, Resulting Numbers: [25, 90]
Generated Node #0,3,2: 78:[25, 90] Operation: 97-7=90
Exploring Operation: 25-7=18, Resulting Numbers: [97, 18]
Generated Node #0,3,3: 78:[97, 18] Operation: 25-7=18
Exploring Operation: 25+7=32, Resulting Numbers: [97, 32]
Generated Node #0,3,4: 78:[97, 32] Operation: 25+7=32
Moving to Node #0,0
Current State: 78:[97, 35, 3], Operations: ['28-25=3']
Exploring Operation: 97+3=100, Resulting Numbers: [35, 100]
Generated Node #0,0,0: 78:[35, 100] Operation: 97+3=100
Exploring Operation: 35+3=38, Resulting Numbers: [97, 38]
Generated Node #0,0,1: 78:[97, 38] Operation: 35+3=38
Exploring Operation: 97-35=62, Resulting Numbers: [3, 62]
Generated Node #0,0,2: 78:[3, 62] Operation: 97-35=62
Exploring Operation: 97-3=94, Resulting Numbers: [35, 94]
Generated Node #0,0,3: 78:[35, 94] Operation: 97-3=94
Exploring Operation: 35-3=32, Resulting Numbers: [97, 32]
Generated Node #0,0,4: 78:[97, 32] Operation: 35-3=32
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[3, 62], Operations: ['28-25=3', '97-35=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,78 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[97, 38], Operations: ['28-25=3', '35+3=38']
Exploring Operation: 97*38=3686, Resulting Numbers: [3686]
3686,78 unequal: No Solution
Exploring Operation: 97+38=135, Resulting Numbers: [135]
135,78 unequal: No Solution
Exploring Operation: 97-38=59, Resulting Numbers: [59]
59,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 78:[35, 94], Operations: ['28-25=3', '97-3=94']
Exploring Operation: 35*94=3290, Resulting Numbers: [3290]
3290,78 unequal: No Solution
Exploring Operation: 94-35=59, Resulting Numbers: [59]
59,78 unequal: No Solution
Exploring Operation: 35+94=129, Resulting Numbers: [129]
129,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 78:[97, 32], Operations: ['28-25=3', '35-3=32']
Exploring Operation: 97*32=3104, Resulting Numbers: [3104]
3104,78 unequal: No Solution
Exploring Operation: 97+32=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[35, 100], Operations: ['28-25=3', '97+3=100']
Exploring Operation: 100-35=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 35+100=135, Resulting Numbers: [135]
135,78 unequal: No Solution
Exploring Operation: 35*100=3500, Resulting Numbers: [3500]
3500,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 78:[7, 72], Operations: ['35-28=7', '97-25=72']
Exploring Operation: 7*72=504, Resulting Numbers: [504]
504,78 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[25, 90], Operations: ['35-28=7', '97-7=90']
Exploring Operation: 90-25=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 25+90=115, Resulting Numbers: [115]
115,78 unequal: No Solution
Exploring Operation: 25*90=2250, Resulting Numbers: [2250]
2250,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[97, 18], Operations: ['35-28=7', '25-7=18']
Exploring Operation: 97+18=115, Resulting Numbers: [115]
115,78 unequal: No Solution
Exploring Operation: 97*18=1746, Resulting Numbers: [1746]
1746,78 unequal: No Solution
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Moving to Node #0,3,4
Current State: 78:[97, 32], Operations: ['35-28=7', '25+7=32']
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,78 unequal: No Solution
Exploring Operation: 97*32=3104, Resulting Numbers: [3104]
3104,78 unequal: No Solution
Exploring Operation: 97+32=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[25, 104], Operations: ['35-28=7', '97+7=104']
Exploring Operation: 25+104=129, Resulting Numbers: [129]
129,78 unequal: No Solution
Exploring Operation: 25*104=2600, Resulting Numbers: [2600]
2600,78 unequal: No Solution
Exploring Operation: 104-25=79, Resulting Numbers: [79]
79,78 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
3,
27,
63,
90
] | 57 | [
"3+27=30",
"90-63=27",
"30+27=57"
] | Current State: 57:[3, 27, 63, 90], Operations: []
Exploring Operation: 3+27=30, Resulting Numbers: [63, 90, 30]
Generated Node #2: [63, 90, 30] from Operation: 3+27=30
Current State: 57:[63, 90, 30], Operations: ['3+27=30']
Exploring Operation: 90-63=27, Resulting Numbers: [30, 27]
Generated Node #3: [30, 27] from Operation: 90-63=27
Current State: 57:[30, 27], Operations: ['3+27=30', '90-63=27']
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[3, 27, 63, 90], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [3, 27, 27]
Generated Node #0,0: 57:[3, 27, 27] Operation: 90-63=27
Exploring Operation: 90/3=30, Resulting Numbers: [27, 63, 30]
Generated Node #0,1: 57:[27, 63, 30] Operation: 90/3=30
Exploring Operation: 90-27=63, Resulting Numbers: [3, 63, 63]
Generated Node #0,2: 57:[3, 63, 63] Operation: 90-27=63
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[3, 63, 63], Operations: ['90-27=63']
Exploring Operation: 63/3=21, Resulting Numbers: [63, 21]
Generated Node #0,2,0: 57:[63, 21] Operation: 63/3=21
Exploring Operation: 63-63=0, Resulting Numbers: [3, 0]
Generated Node #0,2,1: 57:[3, 0] Operation: 63-63=0
Exploring Operation: 63/63=1, Resulting Numbers: [3, 1]
Generated Node #0,2,2: 57:[3, 1] Operation: 63/63=1
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 57:[3, 1], Operations: ['90-27=63', '63/63=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 57:[3, 0], Operations: ['90-27=63', '63-63=0']
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 57:[63, 21], Operations: ['90-27=63', '63/3=21']
Exploring Operation: 63+21=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[3, 27, 27], Operations: ['90-63=27']
Exploring Operation: 27-27=0, Resulting Numbers: [3, 0]
Generated Node #0,0,0: 57:[3, 0] Operation: 27-27=0
Exploring Operation: 27/27=1, Resulting Numbers: [3, 1]
Generated Node #0,0,1: 57:[3, 1] Operation: 27/27=1
Exploring Operation: 27+27=54, Resulting Numbers: [3, 54]
Generated Node #0,0,2: 57:[3, 54] Operation: 27+27=54
Moving to Node #0,0,1
Current State: 57:[3, 1], Operations: ['90-63=27', '27/27=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[3, 0], Operations: ['90-63=27', '27-27=0']
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[3, 54], Operations: ['90-63=27', '27+27=54']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[3, 27, 63, 90], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [3, 27, 27]
Generated Node #0,0: 57:[3, 27, 27] Operation: 90-63=27
Moving to Node #0,0
Current State: 57:[3, 27, 27], Operations: ['90-63=27']
Exploring Operation: 27+27=54, Resulting Numbers: [3, 54]
Generated Node #0,0,2: 57:[3, 54] Operation: 27+27=54
Moving to Node #0,0,2
Current State: 57:[3, 54], Operations: ['90-63=27', '27+27=54']
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_3 | mult_heuristic |
[
53,
77,
26,
90
] | 55 | [
"90-77=13",
"26/13=2",
"53+2=55"
] | Current State: 55:[53, 77, 26, 90], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [53, 26, 13]
Generated Node #2: [53, 26, 13] from Operation: 90-77=13
Current State: 55:[53, 26, 13], Operations: ['90-77=13']
Exploring Operation: 26/13=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 26/13=2
Current State: 55:[53, 2], Operations: ['90-77=13', '26/13=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[53, 77, 26, 90], Operations: []
Exploring Operation: 77-26=51, Resulting Numbers: [53, 90, 51]
Generated Node #0,0: 55:[53, 90, 51] Operation: 77-26=51
Exploring Operation: 90-53=37, Resulting Numbers: [77, 26, 37]
Generated Node #0,1: 55:[77, 26, 37] Operation: 90-53=37
Exploring Operation: 77-53=24, Resulting Numbers: [26, 90, 24]
Generated Node #0,2: 55:[26, 90, 24] Operation: 77-53=24
Exploring Operation: 90-77=13, Resulting Numbers: [53, 26, 13]
Generated Node #0,3: 55:[53, 26, 13] Operation: 90-77=13
Exploring Operation: 90-26=64, Resulting Numbers: [53, 77, 64]
Generated Node #0,4: 55:[53, 77, 64] Operation: 90-26=64
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[53, 26, 13], Operations: ['90-77=13']
Exploring Operation: 53+26=79, Resulting Numbers: [13, 79]
Generated Node #0,3,0: 55:[13, 79] Operation: 53+26=79
Exploring Operation: 53-26=27, Resulting Numbers: [13, 27]
Generated Node #0,3,1: 55:[13, 27] Operation: 53-26=27
Exploring Operation: 26/13=2, Resulting Numbers: [53, 2]
Generated Node #0,3,2: 55:[53, 2] Operation: 26/13=2
Exploring Operation: 26-13=13, Resulting Numbers: [53, 13]
Generated Node #0,3,3: 55:[53, 13] Operation: 26-13=13
Exploring Operation: 26+13=39, Resulting Numbers: [53, 39]
Generated Node #0,3,4: 55:[53, 39] Operation: 26+13=39
Moving to Node #0,3,3
Current State: 55:[53, 13], Operations: ['90-77=13', '26-13=13']
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,55 unequal: No Solution
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[53, 2], Operations: ['90-77=13', '26/13=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[53, 77, 26, 90], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [53, 26, 13]
Generated Node #0,3: 55:[53, 26, 13] Operation: 90-77=13
Moving to Node #0,3
Current State: 55:[53, 26, 13], Operations: ['90-77=13']
Exploring Operation: 26/13=2, Resulting Numbers: [53, 2]
Generated Node #0,3,2: 55:[53, 2] Operation: 26/13=2
Moving to Node #0,3,2
Current State: 55:[53, 2], Operations: ['90-77=13', '26/13=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
58,
37,
62,
5
] | 81 | [
"58+37=95",
"95/5=19",
"62+19=81"
] | Current State: 81:[58, 37, 62, 5], Operations: []
Exploring Operation: 58+37=95, Resulting Numbers: [62, 5, 95]
Generated Node #2: [62, 5, 95] from Operation: 58+37=95
Current State: 81:[62, 5, 95], Operations: ['58+37=95']
Exploring Operation: 95/5=19, Resulting Numbers: [62, 19]
Generated Node #3: [62, 19] from Operation: 95/5=19
Current State: 81:[62, 19], Operations: ['58+37=95', '95/5=19']
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[58, 37, 62, 5], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [37, 5, 4]
Generated Node #0,0: 81:[37, 5, 4] Operation: 62-58=4
Moving to Node #0,0
Current State: 81:[37, 5, 4], Operations: ['62-58=4']
Exploring Operation: 37-5=32, Resulting Numbers: [4, 32]
Generated Node #0,0,0: 81:[4, 32] Operation: 37-5=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[4, 32], Operations: ['62-58=4', '37-5=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
39,
26,
39,
81
] | 84 | [
"39-26=13",
"39/13=3",
"81+3=84"
] | Current State: 84:[39, 26, 39, 81], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [81, 13]
Generated Node #2: [81, 13] from Operation: 39-26=13
Current State: 84:[81, 13], Operations: ['39-26=13']
Exploring Operation: 39/13=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 39/13=3
Current State: 84:[81, 3], Operations: ['39-26=13', '39/13=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[39, 26, 39, 81], Operations: []
Exploring Operation: 81-39=42, Resulting Numbers: [26, 39, 42]
Generated Node #0,0: 84:[26, 39, 42] Operation: 81-39=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[26, 39, 42], Operations: ['81-39=42']
Exploring Operation: 39-26=13, Resulting Numbers: [42, 13]
Generated Node #0,0,0: 84:[42, 13] Operation: 39-26=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[42, 13], Operations: ['81-39=42', '39-26=13']
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
26,
37,
26,
88
] | 88 | [
"26-26=0",
"37*0=0",
"88+0=88"
] | Current State: 88:[26, 37, 26, 88], Operations: []
Exploring Operation: 26-26=0, Resulting Numbers: [37, 88, 0]
Generated Node #2: [37, 88, 0] from Operation: 26-26=0
Current State: 88:[37, 88, 0], Operations: ['26-26=0']
Exploring Operation: 37*0=0, Resulting Numbers: [88, 0]
Generated Node #3: [88, 0] from Operation: 37*0=0
Current State: 88:[88, 0], Operations: ['26-26=0', '37*0=0']
Exploring Operation: 88+0=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[26, 37, 26, 88], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [26, 88, 11]
Generated Node #0,0: 88:[26, 88, 11] Operation: 37-26=11
Exploring Operation: 37-26=11, Resulting Numbers: [26, 88, 11]
Generated Node #0,1: 88:[26, 88, 11] Operation: 37-26=11
Exploring Operation: 26/26=1, Resulting Numbers: [37, 88, 1]
Generated Node #0,2: 88:[37, 88, 1] Operation: 26/26=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[26, 88, 11], Operations: ['37-26=11']
Exploring Operation: 26+11=37, Resulting Numbers: [88, 37]
Generated Node #0,0,0: 88:[88, 37] Operation: 26+11=37
Exploring Operation: 26-11=15, Resulting Numbers: [88, 15]
Generated Node #0,0,1: 88:[88, 15] Operation: 26-11=15
Exploring Operation: 88/11=8, Resulting Numbers: [26, 8]
Generated Node #0,0,2: 88:[26, 8] Operation: 88/11=8
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[88, 15], Operations: ['37-26=11', '26-11=15']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,88 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,88 unequal: No Solution
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[26, 8], Operations: ['37-26=11', '88/11=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[88, 37], Operations: ['37-26=11', '26+11=37']
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 88+37=125, Resulting Numbers: [125]
125,88 unequal: No Solution
Exploring Operation: 88*37=3256, Resulting Numbers: [3256]
3256,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[26, 88, 11], Operations: ['37-26=11']
Exploring Operation: 26+11=37, Resulting Numbers: [88, 37]
Generated Node #0,1,0: 88:[88, 37] Operation: 26+11=37
Exploring Operation: 26-11=15, Resulting Numbers: [88, 15]
Generated Node #0,1,1: 88:[88, 15] Operation: 26-11=15
Exploring Operation: 88/11=8, Resulting Numbers: [26, 8]
Generated Node #0,1,2: 88:[26, 8] Operation: 88/11=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 88:[88, 15], Operations: ['37-26=11', '26-11=15']
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,88 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,88 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 88:[26, 8], Operations: ['37-26=11', '88/11=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,88 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 88:[88, 37], Operations: ['37-26=11', '26+11=37']
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 88*37=3256, Resulting Numbers: [3256]
3256,88 unequal: No Solution
Exploring Operation: 88+37=125, Resulting Numbers: [125]
125,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[37, 88, 1], Operations: ['26/26=1']
Exploring Operation: 37*1=37, Resulting Numbers: [88, 37]
Generated Node #0,2,0: 88:[88, 37] Operation: 37*1=37
Exploring Operation: 37/1=37, Resulting Numbers: [88, 37]
Generated Node #0,2,1: 88:[88, 37] Operation: 37/1=37
Exploring Operation: 37+1=38, Resulting Numbers: [88, 38]
Generated Node #0,2,2: 88:[88, 38] Operation: 37+1=38
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 88:[88, 38], Operations: ['26/26=1', '37+1=38']
Exploring Operation: 88+38=126, Resulting Numbers: [126]
126,88 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 88*38=3344, Resulting Numbers: [3344]
3344,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[88, 37], Operations: ['26/26=1', '37*1=37']
Exploring Operation: 88+37=125, Resulting Numbers: [125]
125,88 unequal: No Solution
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 88*37=3256, Resulting Numbers: [3256]
3256,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 88:[88, 37], Operations: ['26/26=1', '37/1=37']
Exploring Operation: 88+37=125, Resulting Numbers: [125]
125,88 unequal: No Solution
Exploring Operation: 88*37=3256, Resulting Numbers: [3256]
3256,88 unequal: No Solution
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
63,
21,
48,
79
] | 73 | [
"63-21=42",
"79-48=31",
"42+31=73"
] | Current State: 73:[63, 21, 48, 79], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [48, 79, 42]
Generated Node #2: [48, 79, 42] from Operation: 63-21=42
Current State: 73:[48, 79, 42], Operations: ['63-21=42']
Exploring Operation: 79-48=31, Resulting Numbers: [42, 31]
Generated Node #3: [42, 31] from Operation: 79-48=31
Current State: 73:[42, 31], Operations: ['63-21=42', '79-48=31']
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[63, 21, 48, 79], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [48, 79, 42]
Generated Node #0,0: 73:[48, 79, 42] Operation: 63-21=42
Exploring Operation: 63+21=84, Resulting Numbers: [48, 79, 84]
Generated Node #0,1: 73:[48, 79, 84] Operation: 63+21=84
Exploring Operation: 21+48=69, Resulting Numbers: [63, 79, 69]
Generated Node #0,2: 73:[63, 79, 69] Operation: 21+48=69
Exploring Operation: 79-21=58, Resulting Numbers: [63, 48, 58]
Generated Node #0,3: 73:[63, 48, 58] Operation: 79-21=58
Moving to Node #0,2
Current State: 73:[63, 79, 69], Operations: ['21+48=69']
Exploring Operation: 79-63=16, Resulting Numbers: [69, 16]
Generated Node #0,2,0: 73:[69, 16] Operation: 79-63=16
Exploring Operation: 69-63=6, Resulting Numbers: [79, 6]
Generated Node #0,2,1: 73:[79, 6] Operation: 69-63=6
Exploring Operation: 63+69=132, Resulting Numbers: [79, 132]
Generated Node #0,2,2: 73:[79, 132] Operation: 63+69=132
Exploring Operation: 63+79=142, Resulting Numbers: [69, 142]
Generated Node #0,2,3: 73:[69, 142] Operation: 63+79=142
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[69, 16], Operations: ['21+48=69', '79-63=16']
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,73 unequal: No Solution
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,73 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,73 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 #0,2,2
Current State: 73:[79, 132], Operations: ['21+48=69', '63+69=132']
Exploring Operation: 132-79=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 79*132=10428, Resulting Numbers: [10428]
10428,73 unequal: No Solution
Exploring Operation: 79+132=211, Resulting Numbers: [211]
211,73 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 #0,2,1
Current State: 73:[79, 6], Operations: ['21+48=69', '69-63=6']
Exploring Operation: 79+6=85, Resulting Numbers: [85]
85,73 unequal: No Solution
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[63, 21, 48, 79], Operations: []
Exploring Operation: 21+48=69, Resulting Numbers: [63, 79, 69]
Generated Node #0,2: 73:[63, 79, 69] Operation: 21+48=69
Moving to Node #0,2
Current State: 73:[63, 79, 69], Operations: ['21+48=69']
Exploring Operation: 69-63=6, Resulting Numbers: [79, 6]
Generated Node #0,2,1: 73:[79, 6] Operation: 69-63=6
Moving to Node #0,2,1
Current State: 73:[79, 6], Operations: ['21+48=69', '69-63=6']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
28,
26,
98,
52
] | 42 | [
"28*52=1456",
"1456/26=56",
"98-56=42"
] | Current State: 42:[28, 26, 98, 52], Operations: []
Exploring Operation: 28*52=1456, Resulting Numbers: [26, 98, 1456]
Generated Node #2: [26, 98, 1456] from Operation: 28*52=1456
Current State: 42:[26, 98, 1456], Operations: ['28*52=1456']
Exploring Operation: 1456/26=56, Resulting Numbers: [98, 56]
Generated Node #3: [98, 56] from Operation: 1456/26=56
Current State: 42:[98, 56], Operations: ['28*52=1456', '1456/26=56']
Exploring Operation: 98-56=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[28, 26, 98, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [28, 98, 2]
Generated Node #0,0: 42:[28, 98, 2] Operation: 52/26=2
Exploring Operation: 98-52=46, Resulting Numbers: [28, 26, 46]
Generated Node #0,1: 42:[28, 26, 46] Operation: 98-52=46
Exploring Operation: 98-26=72, Resulting Numbers: [28, 52, 72]
Generated Node #0,2: 42:[28, 52, 72] Operation: 98-26=72
Exploring Operation: 98-28=70, Resulting Numbers: [26, 52, 70]
Generated Node #0,3: 42:[26, 52, 70] Operation: 98-28=70
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[28, 26, 46], Operations: ['98-52=46']
Exploring Operation: 46-26=20, Resulting Numbers: [28, 20]
Generated Node #0,1,0: 42:[28, 20] Operation: 46-26=20
Exploring Operation: 46-28=18, Resulting Numbers: [26, 18]
Generated Node #0,1,1: 42:[26, 18] Operation: 46-28=18
Exploring Operation: 28-26=2, Resulting Numbers: [46, 2]
Generated Node #0,1,2: 42:[46, 2] Operation: 28-26=2
Exploring Operation: 28+26=54, Resulting Numbers: [46, 54]
Generated Node #0,1,3: 42:[46, 54] Operation: 28+26=54
Moving to Node #0,1,2
Current State: 42:[46, 2], Operations: ['98-52=46', '28-26=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,42 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[26, 18], Operations: ['98-52=46', '46-28=18']
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,42 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[28, 20], Operations: ['98-52=46', '46-26=20']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[46, 54], Operations: ['98-52=46', '28+26=54']
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,42 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 46*54=2484, Resulting Numbers: [2484]
2484,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[26, 52, 70], Operations: ['98-28=70']
Exploring Operation: 52/26=2, Resulting Numbers: [70, 2]
Generated Node #0,3,0: 42:[70, 2] Operation: 52/26=2
Exploring Operation: 70-52=18, Resulting Numbers: [26, 18]
Generated Node #0,3,1: 42:[26, 18] Operation: 70-52=18
Exploring Operation: 70-26=44, Resulting Numbers: [52, 44]
Generated Node #0,3,2: 42:[52, 44] Operation: 70-26=44
Exploring Operation: 52-26=26, Resulting Numbers: [70, 26]
Generated Node #0,3,3: 42:[70, 26] Operation: 52-26=26
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 42:[26, 18], Operations: ['98-28=70', '70-52=18']
Exploring Operation: 26+18=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Exploring Operation: 26-18=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 26*18=468, Resulting Numbers: [468]
468,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 42:[52, 44], Operations: ['98-28=70', '70-26=44']
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 42:[70, 2], Operations: ['98-28=70', '52/26=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,42 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 42:[70, 26], Operations: ['98-28=70', '52-26=26']
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,42 unequal: No Solution
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[28, 52, 72], Operations: ['98-26=72']
Exploring Operation: 72-52=20, Resulting Numbers: [28, 20]
Generated Node #0,2,0: 42:[28, 20] Operation: 72-52=20
Exploring Operation: 28+52=80, Resulting Numbers: [72, 80]
Generated Node #0,2,1: 42:[72, 80] Operation: 28+52=80
Exploring Operation: 72-28=44, Resulting Numbers: [52, 44]
Generated Node #0,2,2: 42:[52, 44] Operation: 72-28=44
Exploring Operation: 52-28=24, Resulting Numbers: [72, 24]
Generated Node #0,2,3: 42:[72, 24] Operation: 52-28=24
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 42:[28, 20], Operations: ['98-26=72', '72-52=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,42 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 42:[52, 44], Operations: ['98-26=72', '72-28=44']
Exploring Operation: 52+44=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 52*44=2288, Resulting Numbers: [2288]
2288,42 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 42:[72, 24], Operations: ['98-26=72', '52-28=24']
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 72+24=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 72/24=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 72*24=1728, Resulting Numbers: [1728]
1728,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 42:[72, 80], Operations: ['98-26=72', '28+52=80']
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,42 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 72*80=5760, Resulting Numbers: [5760]
5760,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[28, 98, 2], Operations: ['52/26=2']
Exploring Operation: 28/2=14, Resulting Numbers: [98, 14]
Generated Node #0,0,0: 42:[98, 14] Operation: 28/2=14
Exploring Operation: 28-2=26, Resulting Numbers: [98, 26]
Generated Node #0,0,1: 42:[98, 26] Operation: 28-2=26
Exploring Operation: 98/2=49, Resulting Numbers: [28, 49]
Generated Node #0,0,2: 42:[28, 49] Operation: 98/2=49
Exploring Operation: 98-28=70, Resulting Numbers: [2, 70]
Generated Node #0,0,3: 42:[2, 70] Operation: 98-28=70
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 42:[28, 49], Operations: ['52/26=2', '98/2=49']
Exploring Operation: 28*49=1372, Resulting Numbers: [1372]
1372,42 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 42:[2, 70], Operations: ['52/26=2', '98-28=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[98, 14], Operations: ['52/26=2', '28/2=14']
Exploring Operation: 98+14=112, Resulting Numbers: [112]
112,42 unequal: No Solution
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,42 unequal: No Solution
Exploring Operation: 98*14=1372, Resulting Numbers: [1372]
1372,42 unequal: No Solution
Exploring Operation: 98/14=7, Resulting Numbers: [7]
7,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 42:[98, 26], Operations: ['52/26=2', '28-2=26']
Exploring Operation: 98*26=2548, Resulting Numbers: [2548]
2548,42 unequal: No Solution
Exploring Operation: 98+26=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 98-26=72, Resulting Numbers: [72]
72,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
31,
35,
95
] | 89 | [
"31-2=29",
"95-35=60",
"29+60=89"
] | Current State: 89:[2, 31, 35, 95], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [35, 95, 29]
Generated Node #2: [35, 95, 29] from Operation: 31-2=29
Current State: 89:[35, 95, 29], Operations: ['31-2=29']
Exploring Operation: 95-35=60, Resulting Numbers: [29, 60]
Generated Node #3: [29, 60] from Operation: 95-35=60
Current State: 89:[29, 60], Operations: ['31-2=29', '95-35=60']
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[2, 31, 35, 95], Operations: []
Exploring Operation: 2*35=70, Resulting Numbers: [31, 95, 70]
Generated Node #0,0: 89:[31, 95, 70] Operation: 2*35=70
Exploring Operation: 2+31=33, Resulting Numbers: [35, 95, 33]
Generated Node #0,1: 89:[35, 95, 33] Operation: 2+31=33
Exploring Operation: 2+35=37, Resulting Numbers: [31, 95, 37]
Generated Node #0,2: 89:[31, 95, 37] Operation: 2+35=37
Exploring Operation: 95-2=93, Resulting Numbers: [31, 35, 93]
Generated Node #0,3: 89:[31, 35, 93] Operation: 95-2=93
Exploring Operation: 2*31=62, Resulting Numbers: [35, 95, 62]
Generated Node #0,4: 89:[35, 95, 62] Operation: 2*31=62
Moving to Node #0,0
Current State: 89:[31, 95, 70], Operations: ['2*35=70']
Exploring Operation: 31+95=126, Resulting Numbers: [70, 126]
Generated Node #0,0,0: 89:[70, 126] Operation: 31+95=126
Exploring Operation: 31+70=101, Resulting Numbers: [95, 101]
Generated Node #0,0,1: 89:[95, 101] Operation: 31+70=101
Exploring Operation: 70-31=39, Resulting Numbers: [95, 39]
Generated Node #0,0,2: 89:[95, 39] Operation: 70-31=39
Exploring Operation: 95-31=64, Resulting Numbers: [70, 64]
Generated Node #0,0,3: 89:[70, 64] Operation: 95-31=64
Exploring Operation: 95-70=25, Resulting Numbers: [31, 25]
Generated Node #0,0,4: 89:[31, 25] Operation: 95-70=25
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[95, 101], Operations: ['2*35=70', '31+70=101']
Exploring Operation: 95+101=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 95*101=9595, Resulting Numbers: [9595]
9595,89 unequal: No Solution
Exploring Operation: 101-95=6, Resulting Numbers: [6]
6,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 89:[70, 64], Operations: ['2*35=70', '95-31=64']
Exploring Operation: 70-64=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 70+64=134, Resulting Numbers: [134]
134,89 unequal: No Solution
Exploring Operation: 70*64=4480, Resulting Numbers: [4480]
4480,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[70, 126], Operations: ['2*35=70', '31+95=126']
Exploring Operation: 70+126=196, Resulting Numbers: [196]
196,89 unequal: No Solution
Exploring Operation: 70*126=8820, Resulting Numbers: [8820]
8820,89 unequal: No Solution
Exploring Operation: 126-70=56, Resulting Numbers: [56]
56,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[95, 39], Operations: ['2*35=70', '70-31=39']
Exploring Operation: 95-39=56, Resulting Numbers: [56]
56,89 unequal: No Solution
Exploring Operation: 95*39=3705, Resulting Numbers: [3705]
3705,89 unequal: No Solution
Exploring Operation: 95+39=134, Resulting Numbers: [134]
134,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 89:[31, 25], Operations: ['2*35=70', '95-70=25']
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 31*25=775, Resulting Numbers: [775]
775,89 unequal: No Solution
Exploring Operation: 31+25=56, Resulting Numbers: [56]
56,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 89:[35, 95, 62], Operations: ['2*31=62']
Exploring Operation: 95-35=60, Resulting Numbers: [62, 60]
Generated Node #0,4,0: 89:[62, 60] Operation: 95-35=60
Exploring Operation: 62-35=27, Resulting Numbers: [95, 27]
Generated Node #0,4,1: 89:[95, 27] Operation: 62-35=27
Exploring Operation: 35+95=130, Resulting Numbers: [62, 130]
Generated Node #0,4,2: 89:[62, 130] Operation: 35+95=130
Exploring Operation: 95-62=33, Resulting Numbers: [35, 33]
Generated Node #0,4,3: 89:[35, 33] Operation: 95-62=33
Exploring Operation: 35+62=97, Resulting Numbers: [95, 97]
Generated Node #0,4,4: 89:[95, 97] Operation: 35+62=97
Moving to Node #0,1
Current State: 89:[35, 95, 33], Operations: ['2+31=33']
Exploring Operation: 35-33=2, Resulting Numbers: [95, 2]
Generated Node #0,1,0: 89:[95, 2] Operation: 35-33=2
Exploring Operation: 95-35=60, Resulting Numbers: [33, 60]
Generated Node #0,1,1: 89:[33, 60] Operation: 95-35=60
Exploring Operation: 95-33=62, Resulting Numbers: [35, 62]
Generated Node #0,1,2: 89:[35, 62] Operation: 95-33=62
Exploring Operation: 95+33=128, Resulting Numbers: [35, 128]
Generated Node #0,1,3: 89:[35, 128] Operation: 95+33=128
Exploring Operation: 35+33=68, Resulting Numbers: [95, 68]
Generated Node #0,1,4: 89:[95, 68] Operation: 35+33=68
Moving to Node #0,2
Current State: 89:[31, 95, 37], Operations: ['2+35=37']
Exploring Operation: 95-37=58, Resulting Numbers: [31, 58]
Generated Node #0,2,0: 89:[31, 58] Operation: 95-37=58
Exploring Operation: 37-31=6, Resulting Numbers: [95, 6]
Generated Node #0,2,1: 89:[95, 6] Operation: 37-31=6
Exploring Operation: 31+95=126, Resulting Numbers: [37, 126]
Generated Node #0,2,2: 89:[37, 126] Operation: 31+95=126
Exploring Operation: 95-31=64, Resulting Numbers: [37, 64]
Generated Node #0,2,3: 89:[37, 64] Operation: 95-31=64
Exploring Operation: 31+37=68, Resulting Numbers: [95, 68]
Generated Node #0,2,4: 89:[95, 68] Operation: 31+37=68
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 89:[95, 68], Operations: ['2+35=37', '31+37=68']
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 95*68=6460, Resulting Numbers: [6460]
6460,89 unequal: No Solution
Exploring Operation: 95+68=163, Resulting Numbers: [163]
163,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 89:[37, 64], Operations: ['2+35=37', '95-31=64']
Exploring Operation: 64-37=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 37+64=101, Resulting Numbers: [101]
101,89 unequal: No Solution
Exploring Operation: 37*64=2368, Resulting Numbers: [2368]
2368,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[31, 58], Operations: ['2+35=37', '95-37=58']
Exploring Operation: 31*58=1798, Resulting Numbers: [1798]
1798,89 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[2, 31, 35, 95], Operations: []
Exploring Operation: 2+35=37, Resulting Numbers: [31, 95, 37]
Generated Node #0,2: 89:[31, 95, 37] Operation: 2+35=37
Moving to Node #0,2
Current State: 89:[31, 95, 37], Operations: ['2+35=37']
Exploring Operation: 95-37=58, Resulting Numbers: [31, 58]
Generated Node #0,2,0: 89:[31, 58] Operation: 95-37=58
Moving to Node #0,2,0
Current State: 89:[31, 58], Operations: ['2+35=37', '95-37=58']
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.953993 | hs_5 | mult_heuristic |
[
5,
68,
23,
45
] | 92 | [
"5*23=115",
"68-45=23",
"115-23=92"
] | Current State: 92:[5, 68, 23, 45], Operations: []
Exploring Operation: 5*23=115, Resulting Numbers: [68, 45, 115]
Generated Node #2: [68, 45, 115] from Operation: 5*23=115
Current State: 92:[68, 45, 115], Operations: ['5*23=115']
Exploring Operation: 68-45=23, Resulting Numbers: [115, 23]
Generated Node #3: [115, 23] from Operation: 68-45=23
Current State: 92:[115, 23], Operations: ['5*23=115', '68-45=23']
Exploring Operation: 115-23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[5, 68, 23, 45], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [23, 45, 63]
Generated Node #0,0: 92:[23, 45, 63] Operation: 68-5=63
Exploring Operation: 68-45=23, Resulting Numbers: [5, 23, 23]
Generated Node #0,1: 92:[5, 23, 23] Operation: 68-45=23
Exploring Operation: 68+23=91, Resulting Numbers: [5, 45, 91]
Generated Node #0,2: 92:[5, 45, 91] Operation: 68+23=91
Exploring Operation: 68-23=45, Resulting Numbers: [5, 45, 45]
Generated Node #0,3: 92:[5, 45, 45] Operation: 68-23=45
Moving to Node #0,1
Current State: 92:[5, 23, 23], Operations: ['68-45=23']
Exploring Operation: 5+23=28, Resulting Numbers: [23, 28]
Generated Node #0,1,0: 92:[23, 28] Operation: 5+23=28
Exploring Operation: 23+23=46, Resulting Numbers: [5, 46]
Generated Node #0,1,1: 92:[5, 46] Operation: 23+23=46
Exploring Operation: 23-23=0, Resulting Numbers: [5, 0]
Generated Node #0,1,2: 92:[5, 0] Operation: 23-23=0
Exploring Operation: 23/23=1, Resulting Numbers: [5, 1]
Generated Node #0,1,3: 92:[5, 1] Operation: 23/23=1
Moving to Node #0,3
Current State: 92:[5, 45, 45], Operations: ['68-23=45']
Exploring Operation: 45+45=90, Resulting Numbers: [5, 90]
Generated Node #0,3,0: 92:[5, 90] Operation: 45+45=90
Exploring Operation: 45-45=0, Resulting Numbers: [5, 0]
Generated Node #0,3,1: 92:[5, 0] Operation: 45-45=0
Exploring Operation: 45/45=1, Resulting Numbers: [5, 1]
Generated Node #0,3,2: 92:[5, 1] Operation: 45/45=1
Exploring Operation: 5+45=50, Resulting Numbers: [45, 50]
Generated Node #0,3,3: 92:[45, 50] Operation: 5+45=50
Moving to Node #0,2
Current State: 92:[5, 45, 91], Operations: ['68+23=91']
Exploring Operation: 5+45=50, Resulting Numbers: [91, 50]
Generated Node #0,2,0: 92:[91, 50] Operation: 5+45=50
Exploring Operation: 91-45=46, Resulting Numbers: [5, 46]
Generated Node #0,2,1: 92:[5, 46] Operation: 91-45=46
Exploring Operation: 5+91=96, Resulting Numbers: [45, 96]
Generated Node #0,2,2: 92:[45, 96] Operation: 5+91=96
Exploring Operation: 45/5=9, Resulting Numbers: [91, 9]
Generated Node #0,2,3: 92:[91, 9] Operation: 45/5=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[5, 46], Operations: ['68+23=91', '91-45=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[91, 50], Operations: ['68+23=91', '5+45=50']
Exploring Operation: 91+50=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 91*50=4550, Resulting Numbers: [4550]
4550,92 unequal: No Solution
Exploring Operation: 91-50=41, Resulting Numbers: [41]
41,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[45, 96], Operations: ['68+23=91', '5+91=96']
Exploring Operation: 45+96=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 45*96=4320, Resulting Numbers: [4320]
4320,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 92:[91, 9], Operations: ['68+23=91', '45/5=9']
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,92 unequal: No Solution
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 91*9=819, Resulting Numbers: [819]
819,92 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: 92:[23, 45, 63], Operations: ['68-5=63']
Exploring Operation: 63-45=18, Resulting Numbers: [23, 18]
Generated Node #0,0,0: 92:[23, 18] Operation: 63-45=18
Exploring Operation: 23+63=86, Resulting Numbers: [45, 86]
Generated Node #0,0,1: 92:[45, 86] Operation: 23+63=86
Exploring Operation: 63-23=40, Resulting Numbers: [45, 40]
Generated Node #0,0,2: 92:[45, 40] Operation: 63-23=40
Exploring Operation: 45+63=108, Resulting Numbers: [23, 108]
Generated Node #0,0,3: 92:[23, 108] Operation: 45+63=108
Moving to Node #0,1,1
Current State: 92:[5, 46], Operations: ['68-45=23', '23+23=46']
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,92 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[5, 1], Operations: ['68-45=23', '23/23=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[5, 1], Operations: ['68-23=45', '45/45=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[5, 0], Operations: ['68-45=23', '23-23=0']
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[5, 0], Operations: ['68-23=45', '45-45=0']
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[5, 90], Operations: ['68-23=45', '45+45=90']
Exploring Operation: 5*90=450, Resulting Numbers: [450]
450,92 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[45, 50], Operations: ['68-23=45', '5+45=50']
Exploring Operation: 45+50=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 45*50=2250, Resulting Numbers: [2250]
2250,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[23, 28], Operations: ['68-45=23', '5+23=28']
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,92 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[23, 18], Operations: ['68-5=63', '63-45=18']
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,92 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[45, 86], Operations: ['68-5=63', '23+63=86']
Exploring Operation: 45+86=131, Resulting Numbers: [131]
131,92 unequal: No Solution
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 45*86=3870, Resulting Numbers: [3870]
3870,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[45, 40], Operations: ['68-5=63', '63-23=40']
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[23, 108], Operations: ['68-5=63', '45+63=108']
Exploring Operation: 23+108=131, Resulting Numbers: [131]
131,92 unequal: No Solution
Exploring Operation: 23*108=2484, Resulting Numbers: [2484]
2484,92 unequal: No Solution
Exploring Operation: 108-23=85, Resulting Numbers: [85]
85,92 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
91,
25,
4,
60
] | 10 | [
"91-25=66",
"60-4=56",
"66-56=10"
] | Current State: 10:[91, 25, 4, 60], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [4, 60, 66]
Generated Node #2: [4, 60, 66] from Operation: 91-25=66
Current State: 10:[4, 60, 66], Operations: ['91-25=66']
Exploring Operation: 60-4=56, Resulting Numbers: [66, 56]
Generated Node #3: [66, 56] from Operation: 60-4=56
Current State: 10:[66, 56], Operations: ['91-25=66', '60-4=56']
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[91, 25, 4, 60], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [25, 4, 31]
Generated Node #0,0: 10:[25, 4, 31] Operation: 91-60=31
Moving to Node #0,0
Current State: 10:[25, 4, 31], Operations: ['91-60=31']
Exploring Operation: 31-25=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 10:[4, 6] Operation: 31-25=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[4, 6], Operations: ['91-60=31', '31-25=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[91, 25, 4, 60], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [25, 4, 31]
Generated Node #0,0: 10:[25, 4, 31] Operation: 91-60=31
Moving to Node #0,0
Current State: 10:[25, 4, 31], Operations: ['91-60=31']
Exploring Operation: 31-25=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 10:[4, 6] Operation: 31-25=6
Moving to Node #0,0,0
Current State: 10:[4, 6], Operations: ['91-60=31', '31-25=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
26,
45,
3,
93
] | 16 | [
"26+93=119",
"45*3=135",
"135-119=16"
] | Current State: 16:[26, 45, 3, 93], Operations: []
Exploring Operation: 26+93=119, Resulting Numbers: [45, 3, 119]
Generated Node #2: [45, 3, 119] from Operation: 26+93=119
Current State: 16:[45, 3, 119], Operations: ['26+93=119']
Exploring Operation: 45*3=135, Resulting Numbers: [119, 135]
Generated Node #3: [119, 135] from Operation: 45*3=135
Current State: 16:[119, 135], Operations: ['26+93=119', '45*3=135']
Exploring Operation: 135-119=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[26, 45, 3, 93], Operations: []
Exploring Operation: 45-26=19, Resulting Numbers: [3, 93, 19]
Generated Node #0,0: 16:[3, 93, 19] Operation: 45-26=19
Exploring Operation: 93-26=67, Resulting Numbers: [45, 3, 67]
Generated Node #0,1: 16:[45, 3, 67] Operation: 93-26=67
Exploring Operation: 93-45=48, Resulting Numbers: [26, 3, 48]
Generated Node #0,2: 16:[26, 3, 48] Operation: 93-45=48
Exploring Operation: 93/3=31, Resulting Numbers: [26, 45, 31]
Generated Node #0,3: 16:[26, 45, 31] Operation: 93/3=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[26, 3, 48], Operations: ['93-45=48']
Exploring Operation: 26-3=23, Resulting Numbers: [48, 23]
Generated Node #0,2,0: 16:[48, 23] Operation: 26-3=23
Exploring Operation: 48-26=22, Resulting Numbers: [3, 22]
Generated Node #0,2,1: 16:[3, 22] Operation: 48-26=22
Exploring Operation: 48-3=45, Resulting Numbers: [26, 45]
Generated Node #0,2,2: 16:[26, 45] Operation: 48-3=45
Exploring Operation: 48/3=16, Resulting Numbers: [26, 16]
Generated Node #0,2,3: 16:[26, 16] Operation: 48/3=16
Moving to Node #0,2,1
Current State: 16:[3, 22], Operations: ['93-45=48', '48-26=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,16 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[26, 16], Operations: ['93-45=48', '48/3=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,16 unequal: No Solution
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[26, 45], Operations: ['93-45=48', '48-3=45']
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 26*45=1170, Resulting Numbers: [1170]
1170,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[48, 23], Operations: ['93-45=48', '26-3=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[26, 45, 31], Operations: ['93/3=31']
Exploring Operation: 26+45=71, Resulting Numbers: [31, 71]
Generated Node #0,3,0: 16:[31, 71] Operation: 26+45=71
Exploring Operation: 45-31=14, Resulting Numbers: [26, 14]
Generated Node #0,3,1: 16:[26, 14] Operation: 45-31=14
Exploring Operation: 31-26=5, Resulting Numbers: [45, 5]
Generated Node #0,3,2: 16:[45, 5] Operation: 31-26=5
Exploring Operation: 45-26=19, Resulting Numbers: [31, 19]
Generated Node #0,3,3: 16:[31, 19] Operation: 45-26=19
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 16:[26, 14], Operations: ['93/3=31', '45-31=14']
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,16 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,16 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 16:[31, 19], Operations: ['93/3=31', '45-26=19']
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 31*19=589, Resulting Numbers: [589]
589,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 16:[45, 5], Operations: ['93/3=31', '31-26=5']
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,16 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,16 unequal: No Solution
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 16:[31, 71], Operations: ['93/3=31', '26+45=71']
Exploring Operation: 31*71=2201, Resulting Numbers: [2201]
2201,16 unequal: No Solution
Exploring Operation: 31+71=102, Resulting Numbers: [102]
102,16 unequal: No Solution
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[3, 93, 19], Operations: ['45-26=19']
Exploring Operation: 19-3=16, Resulting Numbers: [93, 16]
Generated Node #0,0,0: 16:[93, 16] Operation: 19-3=16
Exploring Operation: 93/3=31, Resulting Numbers: [19, 31]
Generated Node #0,0,1: 16:[19, 31] Operation: 93/3=31
Exploring Operation: 93-19=74, Resulting Numbers: [3, 74]
Generated Node #0,0,2: 16:[3, 74] Operation: 93-19=74
Exploring Operation: 93-3=90, Resulting Numbers: [19, 90]
Generated Node #0,0,3: 16:[19, 90] Operation: 93-3=90
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 16:[19, 31], Operations: ['45-26=19', '93/3=31']
Exploring Operation: 19+31=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 19*31=589, Resulting Numbers: [589]
589,16 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 16:[3, 74], Operations: ['45-26=19', '93-19=74']
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[93, 16], Operations: ['45-26=19', '19-3=16']
Exploring Operation: 93-16=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 93*16=1488, Resulting Numbers: [1488]
1488,16 unequal: No Solution
Exploring Operation: 93+16=109, Resulting Numbers: [109]
109,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 16:[19, 90], Operations: ['45-26=19', '93-3=90']
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 19*90=1710, Resulting Numbers: [1710]
1710,16 unequal: No Solution
Exploring Operation: 19+90=109, Resulting Numbers: [109]
109,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[45, 3, 67], Operations: ['93-26=67']
Exploring Operation: 45/3=15, Resulting Numbers: [67, 15]
Generated Node #0,1,0: 16:[67, 15] Operation: 45/3=15
Exploring Operation: 67-45=22, Resulting Numbers: [3, 22]
Generated Node #0,1,1: 16:[3, 22] Operation: 67-45=22
Exploring Operation: 45-3=42, Resulting Numbers: [67, 42]
Generated Node #0,1,2: 16:[67, 42] Operation: 45-3=42
Exploring Operation: 67-3=64, Resulting Numbers: [45, 64]
Generated Node #0,1,3: 16:[45, 64] Operation: 67-3=64
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[3, 22], Operations: ['93-26=67', '67-45=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,16 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[67, 15], Operations: ['93-26=67', '45/3=15']
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,16 unequal: No Solution
Exploring Operation: 67*15=1005, Resulting Numbers: [1005]
1005,16 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 16:[67, 42], Operations: ['93-26=67', '45-3=42']
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 67*42=2814, Resulting Numbers: [2814]
2814,16 unequal: No Solution
Exploring Operation: 67+42=109, Resulting Numbers: [109]
109,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 16:[45, 64], Operations: ['93-26=67', '67-3=64']
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 45+64=109, Resulting Numbers: [109]
109,16 unequal: No Solution
Exploring Operation: 45*64=2880, Resulting Numbers: [2880]
2880,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
38,
57,
39,
53
] | 73 | [
"57-38=19",
"39+53=92",
"92-19=73"
] | Current State: 73:[38, 57, 39, 53], Operations: []
Exploring Operation: 57-38=19, Resulting Numbers: [39, 53, 19]
Generated Node #2: [39, 53, 19] from Operation: 57-38=19
Current State: 73:[39, 53, 19], Operations: ['57-38=19']
Exploring Operation: 39+53=92, Resulting Numbers: [19, 92]
Generated Node #3: [19, 92] from Operation: 39+53=92
Current State: 73:[19, 92], Operations: ['57-38=19', '39+53=92']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[38, 57, 39, 53], Operations: []
Exploring Operation: 39+53=92, Resulting Numbers: [38, 57, 92]
Generated Node #0,0: 73:[38, 57, 92] Operation: 39+53=92
Exploring Operation: 38+53=91, Resulting Numbers: [57, 39, 91]
Generated Node #0,1: 73:[57, 39, 91] Operation: 38+53=91
Exploring Operation: 38+39=77, Resulting Numbers: [57, 53, 77]
Generated Node #0,2: 73:[57, 53, 77] Operation: 38+39=77
Moving to Node #0,2
Current State: 73:[57, 53, 77], Operations: ['38+39=77']
Exploring Operation: 77-53=24, Resulting Numbers: [57, 24]
Generated Node #0,2,0: 73:[57, 24] Operation: 77-53=24
Exploring Operation: 57-53=4, Resulting Numbers: [77, 4]
Generated Node #0,2,1: 73:[77, 4] Operation: 57-53=4
Exploring Operation: 57+53=110, Resulting Numbers: [77, 110]
Generated Node #0,2,2: 73:[77, 110] Operation: 57+53=110
Moving to Node #0,1
Current State: 73:[57, 39, 91], Operations: ['38+53=91']
Exploring Operation: 57-39=18, Resulting Numbers: [91, 18]
Generated Node #0,1,0: 73:[91, 18] Operation: 57-39=18
Exploring Operation: 57+39=96, Resulting Numbers: [91, 96]
Generated Node #0,1,1: 73:[91, 96] Operation: 57+39=96
Exploring Operation: 91-39=52, Resulting Numbers: [57, 52]
Generated Node #0,1,2: 73:[57, 52] Operation: 91-39=52
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[57, 52], Operations: ['38+53=91', '91-39=52']
Exploring Operation: 57-52=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 57*52=2964, Resulting Numbers: [2964]
2964,73 unequal: No Solution
Exploring Operation: 57+52=109, Resulting Numbers: [109]
109,73 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:[91, 96], Operations: ['38+53=91', '57+39=96']
Exploring Operation: 91+96=187, Resulting Numbers: [187]
187,73 unequal: No Solution
Exploring Operation: 96-91=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 91*96=8736, Resulting Numbers: [8736]
8736,73 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 #0,1,0
Current State: 73:[91, 18], Operations: ['38+53=91', '57-39=18']
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[38, 57, 39, 53], Operations: []
Exploring Operation: 38+53=91, Resulting Numbers: [57, 39, 91]
Generated Node #0,1: 73:[57, 39, 91] Operation: 38+53=91
Moving to Node #0,1
Current State: 73:[57, 39, 91], Operations: ['38+53=91']
Exploring Operation: 57-39=18, Resulting Numbers: [91, 18]
Generated Node #0,1,0: 73:[91, 18] Operation: 57-39=18
Moving to Node #0,1,0
Current State: 73:[91, 18], Operations: ['38+53=91', '57-39=18']
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_3 | sum_heuristic |
[
43,
28,
43,
91
] | 63 | [
"43+28=71",
"43+91=134",
"134-71=63"
] | Current State: 63:[43, 28, 43, 91], Operations: []
Exploring Operation: 43+28=71, Resulting Numbers: [91, 71]
Generated Node #2: [91, 71] from Operation: 43+28=71
Current State: 63:[91, 71], Operations: ['43+28=71']
Exploring Operation: 43+91=134, Resulting Numbers: [71, 134]
Generated Node #3: [71, 134] from Operation: 43+91=134
Current State: 63:[71, 134], Operations: ['43+28=71', '43+91=134']
Exploring Operation: 134-71=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[43, 28, 43, 91], Operations: []
Exploring Operation: 43/43=1, Resulting Numbers: [28, 91, 1]
Generated Node #0,0: 63:[28, 91, 1] Operation: 43/43=1
Exploring Operation: 43-43=0, Resulting Numbers: [28, 91, 0]
Generated Node #0,1: 63:[28, 91, 0] Operation: 43-43=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[28, 91, 1], Operations: ['43/43=1']
Exploring Operation: 28-1=27, Resulting Numbers: [91, 27]
Generated Node #0,0,0: 63:[91, 27] Operation: 28-1=27
Exploring Operation: 91-28=63, Resulting Numbers: [1, 63]
Generated Node #0,0,1: 63:[1, 63] Operation: 91-28=63
Moving to Node #0,0,1
Current State: 63:[1, 63], Operations: ['43/43=1', '91-28=63']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[43, 28, 43, 91], Operations: []
Exploring Operation: 43/43=1, Resulting Numbers: [28, 91, 1]
Generated Node #0,0: 63:[28, 91, 1] Operation: 43/43=1
Moving to Node #0,0
Current State: 63:[28, 91, 1], Operations: ['43/43=1']
Exploring Operation: 91-28=63, Resulting Numbers: [1, 63]
Generated Node #0,0,1: 63:[1, 63] Operation: 91-28=63
Moving to Node #0,0,1
Current State: 63:[1, 63], Operations: ['43/43=1', '91-28=63']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
15,
44,
70,
84
] | 95 | [
"15+44=59",
"70+84=154",
"154-59=95"
] | Current State: 95:[15, 44, 70, 84], Operations: []
Exploring Operation: 15+44=59, Resulting Numbers: [70, 84, 59]
Generated Node #2: [70, 84, 59] from Operation: 15+44=59
Current State: 95:[70, 84, 59], Operations: ['15+44=59']
Exploring Operation: 70+84=154, Resulting Numbers: [59, 154]
Generated Node #3: [59, 154] from Operation: 70+84=154
Current State: 95:[59, 154], Operations: ['15+44=59', '70+84=154']
Exploring Operation: 154-59=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[15, 44, 70, 84], Operations: []
Exploring Operation: 44-15=29, Resulting Numbers: [70, 84, 29]
Generated Node #0,0: 95:[70, 84, 29] Operation: 44-15=29
Exploring Operation: 84-70=14, Resulting Numbers: [15, 44, 14]
Generated Node #0,1: 95:[15, 44, 14] Operation: 84-70=14
Exploring Operation: 44+70=114, Resulting Numbers: [15, 84, 114]
Generated Node #0,2: 95:[15, 84, 114] Operation: 44+70=114
Exploring Operation: 15+70=85, Resulting Numbers: [44, 84, 85]
Generated Node #0,3: 95:[44, 84, 85] Operation: 15+70=85
Exploring Operation: 70-44=26, Resulting Numbers: [15, 84, 26]
Generated Node #0,4: 95:[15, 84, 26] Operation: 70-44=26
Moving to Node #0,4
Current State: 95:[15, 84, 26], Operations: ['70-44=26']
Exploring Operation: 15+26=41, Resulting Numbers: [84, 41]
Generated Node #0,4,0: 95:[84, 41] Operation: 15+26=41
Exploring Operation: 26-15=11, Resulting Numbers: [84, 11]
Generated Node #0,4,1: 95:[84, 11] Operation: 26-15=11
Exploring Operation: 84-15=69, Resulting Numbers: [26, 69]
Generated Node #0,4,2: 95:[26, 69] Operation: 84-15=69
Exploring Operation: 15+84=99, Resulting Numbers: [26, 99]
Generated Node #0,4,3: 95:[26, 99] Operation: 15+84=99
Exploring Operation: 84+26=110, Resulting Numbers: [15, 110]
Generated Node #0,4,4: 95:[15, 110] Operation: 84+26=110
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 95:[26, 99], Operations: ['70-44=26', '15+84=99']
Exploring Operation: 26*99=2574, Resulting Numbers: [2574]
2574,95 unequal: No Solution
Exploring Operation: 99-26=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 26+99=125, Resulting Numbers: [125]
125,95 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 #0,4,1
Current State: 95:[84, 11], Operations: ['70-44=26', '26-15=11']
Exploring Operation: 84*11=924, Resulting Numbers: [924]
924,95 unequal: No Solution
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[15, 44, 70, 84], Operations: []
Exploring Operation: 70-44=26, Resulting Numbers: [15, 84, 26]
Generated Node #0,4: 95:[15, 84, 26] Operation: 70-44=26
Moving to Node #0,4
Current State: 95:[15, 84, 26], Operations: ['70-44=26']
Exploring Operation: 26-15=11, Resulting Numbers: [84, 11]
Generated Node #0,4,1: 95:[84, 11] Operation: 26-15=11
Moving to Node #0,4,1
Current State: 95:[84, 11], Operations: ['70-44=26', '26-15=11']
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | mult_heuristic |
[
41,
56,
33,
25
] | 32 | [
"41-33=8",
"56/8=7",
"25+7=32"
] | Current State: 32:[41, 56, 33, 25], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [56, 25, 8]
Generated Node #2: [56, 25, 8] from Operation: 41-33=8
Current State: 32:[56, 25, 8], Operations: ['41-33=8']
Exploring Operation: 56/8=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 56/8=7
Current State: 32:[25, 7], Operations: ['41-33=8', '56/8=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[41, 56, 33, 25], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [33, 25, 15]
Generated Node #0,0: 32:[33, 25, 15] Operation: 56-41=15
Exploring Operation: 56-33=23, Resulting Numbers: [41, 25, 23]
Generated Node #0,1: 32:[41, 25, 23] Operation: 56-33=23
Exploring Operation: 41-25=16, Resulting Numbers: [56, 33, 16]
Generated Node #0,2: 32:[56, 33, 16] Operation: 41-25=16
Exploring Operation: 56-25=31, Resulting Numbers: [41, 33, 31]
Generated Node #0,3: 32:[41, 33, 31] Operation: 56-25=31
Exploring Operation: 41-33=8, Resulting Numbers: [56, 25, 8]
Generated Node #0,4: 32:[56, 25, 8] Operation: 41-33=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[33, 25, 15], Operations: ['56-41=15']
Exploring Operation: 25-15=10, Resulting Numbers: [33, 10]
Generated Node #0,0,0: 32:[33, 10] Operation: 25-15=10
Exploring Operation: 33-15=18, Resulting Numbers: [25, 18]
Generated Node #0,0,1: 32:[25, 18] Operation: 33-15=18
Exploring Operation: 25+15=40, Resulting Numbers: [33, 40]
Generated Node #0,0,2: 32:[33, 40] Operation: 25+15=40
Exploring Operation: 33-25=8, Resulting Numbers: [15, 8]
Generated Node #0,0,3: 32:[15, 8] Operation: 33-25=8
Exploring Operation: 33+15=48, Resulting Numbers: [25, 48]
Generated Node #0,0,4: 32:[25, 48] Operation: 33+15=48
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 32:[15, 8], Operations: ['56-41=15', '33-25=8']
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,32 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,32 unequal: No Solution
No 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: 32:[33, 10], Operations: ['56-41=15', '25-15=10']
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,32 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,32 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,32 unequal: No Solution
No 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: 32:[25, 18], Operations: ['56-41=15', '33-15=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,32 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,32 unequal: No Solution
No 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: 32:[33, 40], Operations: ['56-41=15', '25+15=40']
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 33*40=1320, Resulting Numbers: [1320]
1320,32 unequal: No Solution
Exploring Operation: 33+40=73, Resulting Numbers: [73]
73,32 unequal: No Solution
No 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: 32:[25, 48], Operations: ['56-41=15', '33+15=48']
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,32 unequal: No Solution
Exploring Operation: 25*48=1200, Resulting Numbers: [1200]
1200,32 unequal: No Solution
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,32 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: 32:[41, 33, 31], Operations: ['56-25=31']
Exploring Operation: 41-31=10, Resulting Numbers: [33, 10]
Generated Node #0,3,0: 32:[33, 10] Operation: 41-31=10
Exploring Operation: 41-33=8, Resulting Numbers: [31, 8]
Generated Node #0,3,1: 32:[31, 8] Operation: 41-33=8
Exploring Operation: 33+31=64, Resulting Numbers: [41, 64]
Generated Node #0,3,2: 32:[41, 64] Operation: 33+31=64
Exploring Operation: 41+31=72, Resulting Numbers: [33, 72]
Generated Node #0,3,3: 32:[33, 72] Operation: 41+31=72
Exploring Operation: 33-31=2, Resulting Numbers: [41, 2]
Generated Node #0,3,4: 32:[41, 2] Operation: 33-31=2
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 32:[31, 8], Operations: ['56-25=31', '41-33=8']
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,32 unequal: No Solution
No 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: 32:[33, 10], Operations: ['56-25=31', '41-31=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,32 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,32 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,32 unequal: No Solution
No 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: 32:[41, 2], Operations: ['56-25=31', '33-31=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,32 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,32 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,32 unequal: No Solution
No 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: 32:[41, 64], Operations: ['56-25=31', '33+31=64']
Exploring Operation: 41+64=105, Resulting Numbers: [105]
105,32 unequal: No Solution
Exploring Operation: 41*64=2624, Resulting Numbers: [2624]
2624,32 unequal: No Solution
Exploring Operation: 64-41=23, Resulting Numbers: [23]
23,32 unequal: No Solution
No 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: 32:[33, 72], Operations: ['56-25=31', '41+31=72']
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,32 unequal: No Solution
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,32 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,32 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: 32:[41, 25, 23], Operations: ['56-33=23']
Exploring Operation: 41+23=64, Resulting Numbers: [25, 64]
Generated Node #0,1,0: 32:[25, 64] Operation: 41+23=64
Exploring Operation: 25-23=2, Resulting Numbers: [41, 2]
Generated Node #0,1,1: 32:[41, 2] Operation: 25-23=2
Exploring Operation: 41-23=18, Resulting Numbers: [25, 18]
Generated Node #0,1,2: 32:[25, 18] Operation: 41-23=18
Exploring Operation: 41-25=16, Resulting Numbers: [23, 16]
Generated Node #0,1,3: 32:[23, 16] Operation: 41-25=16
Exploring Operation: 25+23=48, Resulting Numbers: [41, 48]
Generated Node #0,1,4: 32:[41, 48] Operation: 25+23=48
Moving to Node #0,1,3
Current State: 32:[23, 16], Operations: ['56-33=23', '41-25=16']
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,32 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[25, 18], Operations: ['56-33=23', '41-23=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,32 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,32 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[41, 2], Operations: ['56-33=23', '25-23=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,32 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,32 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Moving to Node #0,1,4
Current State: 32:[41, 48], Operations: ['56-33=23', '25+23=48']
Exploring Operation: 48-41=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 41*48=1968, Resulting Numbers: [1968]
1968,32 unequal: No Solution
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[25, 64], Operations: ['56-33=23', '41+23=64']
Exploring Operation: 25*64=1600, Resulting Numbers: [1600]
1600,32 unequal: No Solution
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[56, 33, 16], Operations: ['41-25=16']
Exploring Operation: 33+16=49, Resulting Numbers: [56, 49]
Generated Node #0,2,0: 32:[56, 49] Operation: 33+16=49
Exploring Operation: 33-16=17, Resulting Numbers: [56, 17]
Generated Node #0,2,1: 32:[56, 17] Operation: 33-16=17
Exploring Operation: 56+16=72, Resulting Numbers: [33, 72]
Generated Node #0,2,2: 32:[33, 72] Operation: 56+16=72
Exploring Operation: 56-16=40, Resulting Numbers: [33, 40]
Generated Node #0,2,3: 32:[33, 40] Operation: 56-16=40
Exploring Operation: 56-33=23, Resulting Numbers: [16, 23]
Generated Node #0,2,4: 32:[16, 23] Operation: 56-33=23
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 32:[16, 23], Operations: ['41-25=16', '56-33=23']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,32 unequal: No Solution
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,32 unequal: No Solution
No 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: 32:[33, 40], Operations: ['41-25=16', '56-16=40']
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 33+40=73, Resulting Numbers: [73]
73,32 unequal: No Solution
Exploring Operation: 33*40=1320, Resulting Numbers: [1320]
1320,32 unequal: No Solution
No 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: 32:[56, 17], Operations: ['41-25=16', '33-16=17']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,32 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,32 unequal: No Solution
No 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: 32:[56, 49], Operations: ['41-25=16', '33+16=49']
Exploring Operation: 56*49=2744, Resulting Numbers: [2744]
2744,32 unequal: No Solution
Exploring Operation: 56+49=105, Resulting Numbers: [105]
105,32 unequal: No Solution
Exploring Operation: 56-49=7, Resulting Numbers: [7]
7,32 unequal: No Solution
No 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: 32:[33, 72], Operations: ['41-25=16', '56+16=72']
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,32 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,32 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: 32:[56, 25, 8], Operations: ['41-33=8']
Exploring Operation: 56/8=7, Resulting Numbers: [25, 7]
Generated Node #0,4,0: 32:[25, 7] Operation: 56/8=7
Exploring Operation: 25-8=17, Resulting Numbers: [56, 17]
Generated Node #0,4,1: 32:[56, 17] Operation: 25-8=17
Exploring Operation: 56-8=48, Resulting Numbers: [25, 48]
Generated Node #0,4,2: 32:[25, 48] Operation: 56-8=48
Exploring Operation: 56-25=31, Resulting Numbers: [8, 31]
Generated Node #0,4,3: 32:[8, 31] Operation: 56-25=31
Exploring Operation: 25+8=33, Resulting Numbers: [56, 33]
Generated Node #0,4,4: 32:[56, 33] Operation: 25+8=33
Moving to Node #0,4,3
Current State: 32:[8, 31], Operations: ['41-33=8', '56-25=31']
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,32 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Moving to Node #0,4,0
Current State: 32:[25, 7], Operations: ['41-33=8', '56/8=7']
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,32 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[41, 56, 33, 25], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [56, 25, 8]
Generated Node #0,4: 32:[56, 25, 8] Operation: 41-33=8
Moving to Node #0,4
Current State: 32:[56, 25, 8], Operations: ['41-33=8']
Exploring Operation: 56/8=7, Resulting Numbers: [25, 7]
Generated Node #0,4,0: 32:[25, 7] Operation: 56/8=7
Moving to Node #0,4,0
Current State: 32:[25, 7], Operations: ['41-33=8', '56/8=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.913194 | hs_5 | sum_heuristic |
[
34,
33,
38,
5
] | 53 | [
"38-34=4",
"5*4=20",
"33+20=53"
] | Current State: 53:[34, 33, 38, 5], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [33, 5, 4]
Generated Node #2: [33, 5, 4] from Operation: 38-34=4
Current State: 53:[33, 5, 4], Operations: ['38-34=4']
Exploring Operation: 5*4=20, Resulting Numbers: [33, 20]
Generated Node #3: [33, 20] from Operation: 5*4=20
Current State: 53:[33, 20], Operations: ['38-34=4', '5*4=20']
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[34, 33, 38, 5], Operations: []
Exploring Operation: 34+5=39, Resulting Numbers: [33, 38, 39]
Generated Node #0,0: 53:[33, 38, 39] Operation: 34+5=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[33, 38, 39], Operations: ['34+5=39']
Exploring Operation: 33+38=71, Resulting Numbers: [39, 71]
Generated Node #0,0,0: 53:[39, 71] Operation: 33+38=71
Moving to Node #0,0,0
Current State: 53:[39, 71], Operations: ['34+5=39', '33+38=71']
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,53 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 |
[
53,
66,
2,
19
] | 98 | [
"53+66=119",
"2+19=21",
"119-21=98"
] | Current State: 98:[53, 66, 2, 19], Operations: []
Exploring Operation: 53+66=119, Resulting Numbers: [2, 19, 119]
Generated Node #2: [2, 19, 119] from Operation: 53+66=119
Current State: 98:[2, 19, 119], Operations: ['53+66=119']
Exploring Operation: 2+19=21, Resulting Numbers: [119, 21]
Generated Node #3: [119, 21] from Operation: 2+19=21
Current State: 98:[119, 21], Operations: ['53+66=119', '2+19=21']
Exploring Operation: 119-21=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[53, 66, 2, 19], Operations: []
Exploring Operation: 66+19=85, Resulting Numbers: [53, 2, 85]
Generated Node #0,0: 98:[53, 2, 85] Operation: 66+19=85
Exploring Operation: 66-19=47, Resulting Numbers: [53, 2, 47]
Generated Node #0,1: 98:[53, 2, 47] Operation: 66-19=47
Exploring Operation: 53-2=51, Resulting Numbers: [66, 19, 51]
Generated Node #0,2: 98:[66, 19, 51] Operation: 53-2=51
Exploring Operation: 66-53=13, Resulting Numbers: [2, 19, 13]
Generated Node #0,3: 98:[2, 19, 13] Operation: 66-53=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[53, 2, 47], Operations: ['66-19=47']
Exploring Operation: 53-47=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 98:[2, 6] Operation: 53-47=6
Exploring Operation: 53+47=100, Resulting Numbers: [2, 100]
Generated Node #0,1,1: 98:[2, 100] Operation: 53+47=100
Exploring Operation: 2+47=49, Resulting Numbers: [53, 49]
Generated Node #0,1,2: 98:[53, 49] Operation: 2+47=49
Exploring Operation: 53-2=51, Resulting Numbers: [47, 51]
Generated Node #0,1,3: 98:[47, 51] Operation: 53-2=51
Moving to Node #0,1,0
Current State: 98:[2, 6], Operations: ['66-19=47', '53-47=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[2, 100], Operations: ['66-19=47', '53+47=100']
Exploring Operation: 2+100=102, Resulting Numbers: [102]
102,98 unequal: No Solution
Exploring Operation: 2*100=200, Resulting Numbers: [200]
200,98 unequal: No Solution
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[53, 66, 2, 19], Operations: []
Exploring Operation: 66-19=47, Resulting Numbers: [53, 2, 47]
Generated Node #0,1: 98:[53, 2, 47] Operation: 66-19=47
Moving to Node #0,1
Current State: 98:[53, 2, 47], Operations: ['66-19=47']
Exploring Operation: 53+47=100, Resulting Numbers: [2, 100]
Generated Node #0,1,1: 98:[2, 100] Operation: 53+47=100
Moving to Node #0,1,1
Current State: 98:[2, 100], Operations: ['66-19=47', '53+47=100']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
96,
2,
46,
6
] | 19 | [
"96-46=50",
"50/2=25",
"25-6=19"
] | Current State: 19:[96, 2, 46, 6], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [2, 6, 50]
Generated Node #2: [2, 6, 50] from Operation: 96-46=50
Current State: 19:[2, 6, 50], Operations: ['96-46=50']
Exploring Operation: 50/2=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 50/2=25
Current State: 19:[6, 25], Operations: ['96-46=50', '50/2=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[96, 2, 46, 6], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [2, 6, 50]
Generated Node #0,0: 19:[2, 6, 50] Operation: 96-46=50
Exploring Operation: 46/2=23, Resulting Numbers: [96, 6, 23]
Generated Node #0,1: 19:[96, 6, 23] Operation: 46/2=23
Exploring Operation: 2*6=12, Resulting Numbers: [96, 46, 12]
Generated Node #0,2: 19:[96, 46, 12] Operation: 2*6=12
Exploring Operation: 96/2=48, Resulting Numbers: [46, 6, 48]
Generated Node #0,3: 19:[46, 6, 48] Operation: 96/2=48
Exploring Operation: 96/6=16, Resulting Numbers: [2, 46, 16]
Generated Node #0,4: 19:[2, 46, 16] Operation: 96/6=16
Moving to Node #0,4
Current State: 19:[2, 46, 16], Operations: ['96/6=16']
Exploring Operation: 46-2=44, Resulting Numbers: [16, 44]
Generated Node #0,4,0: 19:[16, 44] Operation: 46-2=44
Exploring Operation: 2+16=18, Resulting Numbers: [46, 18]
Generated Node #0,4,1: 19:[46, 18] Operation: 2+16=18
Exploring Operation: 2+46=48, Resulting Numbers: [16, 48]
Generated Node #0,4,2: 19:[16, 48] Operation: 2+46=48
Exploring Operation: 46-16=30, Resulting Numbers: [2, 30]
Generated Node #0,4,3: 19:[2, 30] Operation: 46-16=30
Exploring Operation: 46/2=23, Resulting Numbers: [16, 23]
Generated Node #0,4,4: 19:[16, 23] Operation: 46/2=23
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 19:[16, 23], Operations: ['96/6=16', '46/2=23']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 19:[16, 44], Operations: ['96/6=16', '46-2=44']
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 16+44=60, Resulting Numbers: [60]
60,19 unequal: No Solution
Exploring Operation: 16*44=704, Resulting Numbers: [704]
704,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 19:[46, 18], Operations: ['96/6=16', '2+16=18']
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,19 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 46*18=828, Resulting Numbers: [828]
828,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 19:[2, 30], Operations: ['96/6=16', '46-16=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,19 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 19:[16, 48], Operations: ['96/6=16', '2+46=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,19 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 16*48=768, Resulting Numbers: [768]
768,19 unequal: No Solution
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 19:[2, 6, 50], Operations: ['96-46=50']
Exploring Operation: 2*6=12, Resulting Numbers: [50, 12]
Generated Node #0,0,0: 19:[50, 12] Operation: 2*6=12
Exploring Operation: 2+6=8, Resulting Numbers: [50, 8]
Generated Node #0,0,1: 19:[50, 8] Operation: 2+6=8
Exploring Operation: 50-2=48, Resulting Numbers: [6, 48]
Generated Node #0,0,2: 19:[6, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [6, 25]
Generated Node #0,0,3: 19:[6, 25] Operation: 50/2=25
Exploring Operation: 50-6=44, Resulting Numbers: [2, 44]
Generated Node #0,0,4: 19:[2, 44] Operation: 50-6=44
Moving to Node #0,3
Current State: 19:[46, 6, 48], Operations: ['96/2=48']
Exploring Operation: 48-46=2, Resulting Numbers: [6, 2]
Generated Node #0,3,0: 19:[6, 2] Operation: 48-46=2
Exploring Operation: 48-6=42, Resulting Numbers: [46, 42]
Generated Node #0,3,1: 19:[46, 42] Operation: 48-6=42
Exploring Operation: 46+6=52, Resulting Numbers: [48, 52]
Generated Node #0,3,2: 19:[48, 52] Operation: 46+6=52
Exploring Operation: 48/6=8, Resulting Numbers: [46, 8]
Generated Node #0,3,3: 19:[46, 8] Operation: 48/6=8
Exploring Operation: 46-6=40, Resulting Numbers: [48, 40]
Generated Node #0,3,4: 19:[48, 40] Operation: 46-6=40
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 19:[6, 2], Operations: ['96/2=48', '48-46=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 19:[46, 8], Operations: ['96/2=48', '48/6=8']
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,19 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 19:[46, 42], Operations: ['96/2=48', '48-6=42']
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,19 unequal: No Solution
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,19 unequal: No Solution
Exploring Operation: 46-42=4, Resulting Numbers: [4]
4,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 19:[48, 40], Operations: ['96/2=48', '46-6=40']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,19 unequal: No Solution
Exploring Operation: 48*40=1920, Resulting Numbers: [1920]
1920,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 19:[48, 52], Operations: ['96/2=48', '46+6=52']
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 48*52=2496, Resulting Numbers: [2496]
2496,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 19:[96, 6, 23], Operations: ['46/2=23']
Exploring Operation: 96+6=102, Resulting Numbers: [23, 102]
Generated Node #0,1,0: 19:[23, 102] Operation: 96+6=102
Exploring Operation: 23-6=17, Resulting Numbers: [96, 17]
Generated Node #0,1,1: 19:[96, 17] Operation: 23-6=17
Exploring Operation: 96/6=16, Resulting Numbers: [23, 16]
Generated Node #0,1,2: 19:[23, 16] Operation: 96/6=16
Exploring Operation: 96-6=90, Resulting Numbers: [23, 90]
Generated Node #0,1,3: 19:[23, 90] Operation: 96-6=90
Exploring Operation: 96-23=73, Resulting Numbers: [6, 73]
Generated Node #0,1,4: 19:[6, 73] Operation: 96-23=73
Moving to Node #0,2
Current State: 19:[96, 46, 12], Operations: ['2*6=12']
Exploring Operation: 46-12=34, Resulting Numbers: [96, 34]
Generated Node #0,2,0: 19:[96, 34] Operation: 46-12=34
Exploring Operation: 96/12=8, Resulting Numbers: [46, 8]
Generated Node #0,2,1: 19:[46, 8] Operation: 96/12=8
Exploring Operation: 96-46=50, Resulting Numbers: [12, 50]
Generated Node #0,2,2: 19:[12, 50] Operation: 96-46=50
Exploring Operation: 96+12=108, Resulting Numbers: [46, 108]
Generated Node #0,2,3: 19:[46, 108] Operation: 96+12=108
Exploring Operation: 96-12=84, Resulting Numbers: [46, 84]
Generated Node #0,2,4: 19:[46, 84] Operation: 96-12=84
Moving to Node #0,1,2
Current State: 19:[23, 16], Operations: ['46/2=23', '96/6=16']
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,19 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Moving to Node #0,0,3
Current State: 19:[6, 25], Operations: ['96-46=50', '50/2=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[96, 2, 46, 6], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [2, 6, 50]
Generated Node #0,0: 19:[2, 6, 50] Operation: 96-46=50
Moving to Node #0,0
Current State: 19:[2, 6, 50], Operations: ['96-46=50']
Exploring Operation: 50/2=25, Resulting Numbers: [6, 25]
Generated Node #0,0,3: 19:[6, 25] Operation: 50/2=25
Moving to Node #0,0,3
Current State: 19:[6, 25], Operations: ['96-46=50', '50/2=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.936632 | hs_5 | sum_heuristic |
[
58,
37,
10,
93
] | 71 | [
"37+93=130",
"130/10=13",
"58+13=71"
] | Current State: 71:[58, 37, 10, 93], Operations: []
Exploring Operation: 37+93=130, Resulting Numbers: [58, 10, 130]
Generated Node #2: [58, 10, 130] from Operation: 37+93=130
Current State: 71:[58, 10, 130], Operations: ['37+93=130']
Exploring Operation: 130/10=13, Resulting Numbers: [58, 13]
Generated Node #3: [58, 13] from Operation: 130/10=13
Current State: 71:[58, 13], Operations: ['37+93=130', '130/10=13']
Exploring Operation: 58+13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[58, 37, 10, 93], Operations: []
Exploring Operation: 58+10=68, Resulting Numbers: [37, 93, 68]
Generated Node #0,0: 71:[37, 93, 68] Operation: 58+10=68
Moving to Node #0,0
Current State: 71:[37, 93, 68], Operations: ['58+10=68']
Exploring Operation: 93-37=56, Resulting Numbers: [68, 56]
Generated Node #0,0,0: 71:[68, 56] Operation: 93-37=56
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[68, 56], Operations: ['58+10=68', '93-37=56']
Exploring Operation: 68+56=124, Resulting Numbers: [124]
124,71 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 |
[
85,
74,
65,
94
] | 40 | [
"85-74=11",
"94-65=29",
"11+29=40"
] | Current State: 40:[85, 74, 65, 94], Operations: []
Exploring Operation: 85-74=11, Resulting Numbers: [65, 94, 11]
Generated Node #2: [65, 94, 11] from Operation: 85-74=11
Current State: 40:[65, 94, 11], Operations: ['85-74=11']
Exploring Operation: 94-65=29, Resulting Numbers: [11, 29]
Generated Node #3: [11, 29] from Operation: 94-65=29
Current State: 40:[11, 29], Operations: ['85-74=11', '94-65=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[85, 74, 65, 94], Operations: []
Exploring Operation: 85-74=11, Resulting Numbers: [65, 94, 11]
Generated Node #0,0: 40:[65, 94, 11] Operation: 85-74=11
Exploring Operation: 94-74=20, Resulting Numbers: [85, 65, 20]
Generated Node #0,1: 40:[85, 65, 20] Operation: 94-74=20
Exploring Operation: 94-65=29, Resulting Numbers: [85, 74, 29]
Generated Node #0,2: 40:[85, 74, 29] Operation: 94-65=29
Exploring Operation: 94-85=9, Resulting Numbers: [74, 65, 9]
Generated Node #0,3: 40:[74, 65, 9] Operation: 94-85=9
Exploring Operation: 85-65=20, Resulting Numbers: [74, 94, 20]
Generated Node #0,4: 40:[74, 94, 20] Operation: 85-65=20
Moving to Node #0,3
Current State: 40:[74, 65, 9], Operations: ['94-85=9']
Exploring Operation: 74-9=65, Resulting Numbers: [65, 65]
Generated Node #0,3,0: 40:[65, 65] Operation: 74-9=65
Exploring Operation: 74+9=83, Resulting Numbers: [65, 83]
Generated Node #0,3,1: 40:[65, 83] Operation: 74+9=83
Exploring Operation: 65+9=74, Resulting Numbers: [74, 74]
Generated Node #0,3,2: 40:[74, 74] Operation: 65+9=74
Exploring Operation: 65-9=56, Resulting Numbers: [74, 56]
Generated Node #0,3,3: 40:[74, 56] Operation: 65-9=56
Exploring Operation: 74-65=9, Resulting Numbers: [9, 9]
Generated Node #0,3,4: 40:[9, 9] Operation: 74-65=9
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 40:[9, 9], Operations: ['94-85=9', '74-65=9']
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 40:[65, 65], Operations: ['94-85=9', '74-9=65']
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,40 unequal: No Solution
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,40 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 40:[74, 56], Operations: ['94-85=9', '65-9=56']
Exploring Operation: 74+56=130, Resulting Numbers: [130]
130,40 unequal: No Solution
Exploring Operation: 74*56=4144, Resulting Numbers: [4144]
4144,40 unequal: No Solution
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 40:[65, 83], Operations: ['94-85=9', '74+9=83']
Exploring Operation: 65+83=148, Resulting Numbers: [148]
148,40 unequal: No Solution
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 65*83=5395, Resulting Numbers: [5395]
5395,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 40:[74, 74], Operations: ['94-85=9', '65+9=74']
Exploring Operation: 74*74=5476, Resulting Numbers: [5476]
5476,40 unequal: No Solution
Exploring Operation: 74-74=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 74+74=148, Resulting Numbers: [148]
148,40 unequal: No Solution
Exploring Operation: 74/74=1, Resulting Numbers: [1]
1,40 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: 40:[85, 65, 20], Operations: ['94-74=20']
Exploring Operation: 85-20=65, Resulting Numbers: [65, 65]
Generated Node #0,1,0: 40:[65, 65] Operation: 85-20=65
Exploring Operation: 85-65=20, Resulting Numbers: [20, 20]
Generated Node #0,1,1: 40:[20, 20] Operation: 85-65=20
Exploring Operation: 65+20=85, Resulting Numbers: [85, 85]
Generated Node #0,1,2: 40:[85, 85] Operation: 65+20=85
Exploring Operation: 85+20=105, Resulting Numbers: [65, 105]
Generated Node #0,1,3: 40:[65, 105] Operation: 85+20=105
Exploring Operation: 65-20=45, Resulting Numbers: [85, 45]
Generated Node #0,1,4: 40:[85, 45] Operation: 65-20=45
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[20, 20], Operations: ['94-74=20', '85-65=20']
Exploring Operation: 20*20=400, Resulting Numbers: [400]
400,40 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[85, 74, 65, 94], Operations: []
Exploring Operation: 94-74=20, Resulting Numbers: [85, 65, 20]
Generated Node #0,1: 40:[85, 65, 20] Operation: 94-74=20
Moving to Node #0,1
Current State: 40:[85, 65, 20], Operations: ['94-74=20']
Exploring Operation: 85-65=20, Resulting Numbers: [20, 20]
Generated Node #0,1,1: 40:[20, 20] Operation: 85-65=20
Moving to Node #0,1,1
Current State: 40:[20, 20], Operations: ['94-74=20', '85-65=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
38,
32,
72,
35
] | 32 | [
"72-38=34",
"35-34=1",
"32*1=32"
] | Current State: 32:[38, 32, 72, 35], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [32, 35, 34]
Generated Node #2: [32, 35, 34] from Operation: 72-38=34
Current State: 32:[32, 35, 34], Operations: ['72-38=34']
Exploring Operation: 35-34=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 35-34=1
Current State: 32:[32, 1], Operations: ['72-38=34', '35-34=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[38, 32, 72, 35], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [32, 35, 34]
Generated Node #0,0: 32:[32, 35, 34] Operation: 72-38=34
Exploring Operation: 72-35=37, Resulting Numbers: [38, 32, 37]
Generated Node #0,1: 32:[38, 32, 37] Operation: 72-35=37
Exploring Operation: 72-32=40, Resulting Numbers: [38, 35, 40]
Generated Node #0,2: 32:[38, 35, 40] Operation: 72-32=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[32, 35, 34], Operations: ['72-38=34']
Exploring Operation: 35-32=3, Resulting Numbers: [34, 3]
Generated Node #0,0,0: 32:[34, 3] Operation: 35-32=3
Exploring Operation: 34-32=2, Resulting Numbers: [35, 2]
Generated Node #0,0,1: 32:[35, 2] Operation: 34-32=2
Exploring Operation: 35-34=1, Resulting Numbers: [32, 1]
Generated Node #0,0,2: 32:[32, 1] Operation: 35-34=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[32, 1], Operations: ['72-38=34', '35-34=1']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[38, 32, 72, 35], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [32, 35, 34]
Generated Node #0,0: 32:[32, 35, 34] Operation: 72-38=34
Moving to Node #0,0
Current State: 32:[32, 35, 34], Operations: ['72-38=34']
Exploring Operation: 35-34=1, Resulting Numbers: [32, 1]
Generated Node #0,0,2: 32:[32, 1] Operation: 35-34=1
Moving to Node #0,0,2
Current State: 32:[32, 1], Operations: ['72-38=34', '35-34=1']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
75,
21,
45,
75
] | 45 | [
"75-75=0",
"21*0=0",
"45+0=45"
] | Current State: 45:[75, 21, 45, 75], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [21, 45, 0]
Generated Node #2: [21, 45, 0] from Operation: 75-75=0
Current State: 45:[21, 45, 0], Operations: ['75-75=0']
Exploring Operation: 21*0=0, Resulting Numbers: [45, 0]
Generated Node #3: [45, 0] from Operation: 21*0=0
Current State: 45:[45, 0], Operations: ['75-75=0', '21*0=0']
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[75, 21, 45, 75], Operations: []
Exploring Operation: 75/75=1, Resulting Numbers: [21, 45, 1]
Generated Node #0,0: 45:[21, 45, 1] Operation: 75/75=1
Exploring Operation: 75-21=54, Resulting Numbers: [45, 75, 54]
Generated Node #0,1: 45:[45, 75, 54] Operation: 75-21=54
Exploring Operation: 75-75=0, Resulting Numbers: [21, 45, 0]
Generated Node #0,2: 45:[21, 45, 0] Operation: 75-75=0
Exploring Operation: 75-21=54, Resulting Numbers: [75, 45, 54]
Generated Node #0,3: 45:[75, 45, 54] Operation: 75-21=54
Exploring Operation: 75-45=30, Resulting Numbers: [21, 75, 30]
Generated Node #0,4: 45:[21, 75, 30] Operation: 75-45=30
Moving to Node #0,0
Current State: 45:[21, 45, 1], Operations: ['75/75=1']
Exploring Operation: 45*1=45, Resulting Numbers: [21, 45]
Generated Node #0,0,0: 45:[21, 45] Operation: 45*1=45
Exploring Operation: 21*1=21, Resulting Numbers: [45, 21]
Generated Node #0,0,1: 45:[45, 21] Operation: 21*1=21
Exploring Operation: 45/1=45, Resulting Numbers: [21, 45]
Generated Node #0,0,2: 45:[21, 45] Operation: 45/1=45
Exploring Operation: 21-1=20, Resulting Numbers: [45, 20]
Generated Node #0,0,3: 45:[45, 20] Operation: 21-1=20
Exploring Operation: 21/1=21, Resulting Numbers: [45, 21]
Generated Node #0,0,4: 45:[45, 21] Operation: 21/1=21
Moving to Node #0,2
Current State: 45:[21, 45, 0], Operations: ['75-75=0']
Exploring Operation: 45-0=45, Resulting Numbers: [21, 45]
Generated Node #0,2,0: 45:[21, 45] Operation: 45-0=45
Exploring Operation: 21*0=0, Resulting Numbers: [45, 0]
Generated Node #0,2,1: 45:[45, 0] Operation: 21*0=0
Exploring Operation: 21+0=21, Resulting Numbers: [45, 21]
Generated Node #0,2,2: 45:[45, 21] Operation: 21+0=21
Exploring Operation: 45+0=45, Resulting Numbers: [21, 45]
Generated Node #0,2,3: 45:[21, 45] Operation: 45+0=45
Exploring Operation: 21-0=21, Resulting Numbers: [45, 21]
Generated Node #0,2,4: 45:[45, 21] Operation: 21-0=21
Moving to Node #0,1
Current State: 45:[45, 75, 54], Operations: ['75-21=54']
Exploring Operation: 45+75=120, Resulting Numbers: [54, 120]
Generated Node #0,1,0: 45:[54, 120] Operation: 45+75=120
Exploring Operation: 75-45=30, Resulting Numbers: [54, 30]
Generated Node #0,1,1: 45:[54, 30] Operation: 75-45=30
Exploring Operation: 45+54=99, Resulting Numbers: [75, 99]
Generated Node #0,1,2: 45:[75, 99] Operation: 45+54=99
Exploring Operation: 54-45=9, Resulting Numbers: [75, 9]
Generated Node #0,1,3: 45:[75, 9] Operation: 54-45=9
Exploring Operation: 75-54=21, Resulting Numbers: [45, 21]
Generated Node #0,1,4: 45:[45, 21] Operation: 75-54=21
Moving to Node #0,3
Current State: 45:[75, 45, 54], Operations: ['75-21=54']
Exploring Operation: 75-45=30, Resulting Numbers: [54, 30]
Generated Node #0,3,0: 45:[54, 30] Operation: 75-45=30
Exploring Operation: 75-54=21, Resulting Numbers: [45, 21]
Generated Node #0,3,1: 45:[45, 21] Operation: 75-54=21
Exploring Operation: 75+45=120, Resulting Numbers: [54, 120]
Generated Node #0,3,2: 45:[54, 120] Operation: 75+45=120
Exploring Operation: 75+54=129, Resulting Numbers: [45, 129]
Generated Node #0,3,3: 45:[45, 129] Operation: 75+54=129
Exploring Operation: 54-45=9, Resulting Numbers: [75, 9]
Generated Node #0,3,4: 45:[75, 9] Operation: 54-45=9
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 45:[45, 21], Operations: ['75-21=54', '75-54=21']
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 45*21=945, Resulting Numbers: [945]
945,45 unequal: No Solution
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 45:[54, 30], Operations: ['75-21=54', '75-45=30']
Exploring Operation: 54*30=1620, Resulting Numbers: [1620]
1620,45 unequal: No Solution
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,45 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 45:[75, 9], Operations: ['75-21=54', '54-45=9']
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,45 unequal: No Solution
Exploring Operation: 75*9=675, Resulting Numbers: [675]
675,45 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 45:[54, 120], Operations: ['75-21=54', '75+45=120']
Exploring Operation: 54*120=6480, Resulting Numbers: [6480]
6480,45 unequal: No Solution
Exploring Operation: 120-54=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 54+120=174, Resulting Numbers: [174]
174,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 45:[45, 129], Operations: ['75-21=54', '75+54=129']
Exploring Operation: 45*129=5805, Resulting Numbers: [5805]
5805,45 unequal: No Solution
Exploring Operation: 129-45=84, Resulting Numbers: [84]
84,45 unequal: No Solution
Exploring Operation: 45+129=174, Resulting Numbers: [174]
174,45 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: 45:[21, 75, 30], Operations: ['75-45=30']
Exploring Operation: 75-30=45, Resulting Numbers: [21, 45]
Generated Node #0,4,0: 45:[21, 45] Operation: 75-30=45
Exploring Operation: 30-21=9, Resulting Numbers: [75, 9]
Generated Node #0,4,1: 45:[75, 9] Operation: 30-21=9
Exploring Operation: 21+75=96, Resulting Numbers: [30, 96]
Generated Node #0,4,2: 45:[30, 96] Operation: 21+75=96
Exploring Operation: 75-21=54, Resulting Numbers: [30, 54]
Generated Node #0,4,3: 45:[30, 54] Operation: 75-21=54
Exploring Operation: 21+30=51, Resulting Numbers: [75, 51]
Generated Node #0,4,4: 45:[75, 51] Operation: 21+30=51
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 45:[21, 45], Operations: ['75-45=30', '75-30=45']
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 21*45=945, Resulting Numbers: [945]
945,45 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 45:[30, 54], Operations: ['75-45=30', '75-21=54']
Exploring Operation: 30*54=1620, Resulting Numbers: [1620]
1620,45 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 30+54=84, Resulting Numbers: [84]
84,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 45:[75, 9], Operations: ['75-45=30', '30-21=9']
Exploring Operation: 75*9=675, Resulting Numbers: [675]
675,45 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 45:[75, 51], Operations: ['75-45=30', '21+30=51']
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 75+51=126, Resulting Numbers: [126]
126,45 unequal: No Solution
Exploring Operation: 75*51=3825, Resulting Numbers: [3825]
3825,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 45:[30, 96], Operations: ['75-45=30', '21+75=96']
Exploring Operation: 30+96=126, Resulting Numbers: [126]
126,45 unequal: No Solution
Exploring Operation: 96-30=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 30*96=2880, Resulting Numbers: [2880]
2880,45 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: 45:[45, 0], Operations: ['75-75=0', '21*0=0']
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[75, 21, 45, 75], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [21, 45, 0]
Generated Node #0,2: 45:[21, 45, 0] Operation: 75-75=0
Moving to Node #0,2
Current State: 45:[21, 45, 0], Operations: ['75-75=0']
Exploring Operation: 21*0=0, Resulting Numbers: [45, 0]
Generated Node #0,2,1: 45:[45, 0] Operation: 21*0=0
Moving to Node #0,2,1
Current State: 45:[45, 0], Operations: ['75-75=0', '21*0=0']
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.943576 | hs_5 | sum_heuristic |
[
72,
90,
9,
2
] | 28 | [
"90*2=180",
"72+180=252",
"252/9=28"
] | Current State: 28:[72, 90, 9, 2], Operations: []
Exploring Operation: 90*2=180, Resulting Numbers: [72, 9, 180]
Generated Node #2: [72, 9, 180] from Operation: 90*2=180
Current State: 28:[72, 9, 180], Operations: ['90*2=180']
Exploring Operation: 72+180=252, Resulting Numbers: [9, 252]
Generated Node #3: [9, 252] from Operation: 72+180=252
Current State: 28:[9, 252], Operations: ['90*2=180', '72+180=252']
Exploring Operation: 252/9=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[72, 90, 9, 2], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [72, 2, 10]
Generated Node #0,0: 28:[72, 2, 10] Operation: 90/9=10
Exploring Operation: 90/2=45, Resulting Numbers: [72, 9, 45]
Generated Node #0,1: 28:[72, 9, 45] Operation: 90/2=45
Exploring Operation: 72/2=36, Resulting Numbers: [90, 9, 36]
Generated Node #0,2: 28:[90, 9, 36] Operation: 72/2=36
Exploring Operation: 72/9=8, Resulting Numbers: [90, 2, 8]
Generated Node #0,3: 28:[90, 2, 8] Operation: 72/9=8
Exploring Operation: 90-72=18, Resulting Numbers: [9, 2, 18]
Generated Node #0,4: 28:[9, 2, 18] Operation: 90-72=18
Moving to Node #0,4
Current State: 28:[9, 2, 18], Operations: ['90-72=18']
Exploring Operation: 9-2=7, Resulting Numbers: [18, 7]
Generated Node #0,4,0: 28:[18, 7] Operation: 9-2=7
Exploring Operation: 9+18=27, Resulting Numbers: [2, 27]
Generated Node #0,4,1: 28:[2, 27] Operation: 9+18=27
Exploring Operation: 18/9=2, Resulting Numbers: [2, 2]
Generated Node #0,4,2: 28:[2, 2] Operation: 18/9=2
Exploring Operation: 18-2=16, Resulting Numbers: [9, 16]
Generated Node #0,4,3: 28:[9, 16] Operation: 18-2=16
Exploring Operation: 18-9=9, Resulting Numbers: [2, 9]
Generated Node #0,4,4: 28:[2, 9] Operation: 18-9=9
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 28:[2, 2], Operations: ['90-72=18', '18/9=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,28 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 28:[2, 27], Operations: ['90-72=18', '9+18=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 28:[2, 9], Operations: ['90-72=18', '18-9=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 28:[18, 7], Operations: ['90-72=18', '9-2=7']
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,28 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 28:[9, 16], Operations: ['90-72=18', '18-2=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 28:[72, 2, 10], Operations: ['90/9=10']
Exploring Operation: 10-2=8, Resulting Numbers: [72, 8]
Generated Node #0,0,0: 28:[72, 8] Operation: 10-2=8
Exploring Operation: 72/2=36, Resulting Numbers: [10, 36]
Generated Node #0,0,1: 28:[10, 36] Operation: 72/2=36
Exploring Operation: 72-10=62, Resulting Numbers: [2, 62]
Generated Node #0,0,2: 28:[2, 62] Operation: 72-10=62
Exploring Operation: 72-2=70, Resulting Numbers: [10, 70]
Generated Node #0,0,3: 28:[10, 70] Operation: 72-2=70
Exploring Operation: 10/2=5, Resulting Numbers: [72, 5]
Generated Node #0,0,4: 28:[72, 5] Operation: 10/2=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[10, 36], Operations: ['90/9=10', '72/2=36']
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 28:[2, 62], Operations: ['90/9=10', '72-10=62']
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,28 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Exploring Operation: 2*62=124, Resulting Numbers: [124]
124,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[72, 8], Operations: ['90/9=10', '10-2=8']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,28 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Exploring Operation: 72*8=576, Resulting Numbers: [576]
576,28 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 28:[10, 70], Operations: ['90/9=10', '72-2=70']
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 10*70=700, Resulting Numbers: [700]
700,28 unequal: No Solution
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 28:[72, 5], Operations: ['90/9=10', '10/2=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,28 unequal: No Solution
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,28 unequal: No Solution
Exploring Operation: 72*5=360, Resulting Numbers: [360]
360,28 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: 28:[72, 9, 45], Operations: ['90/2=45']
Exploring Operation: 72/9=8, Resulting Numbers: [45, 8]
Generated Node #0,1,0: 28:[45, 8] Operation: 72/9=8
Exploring Operation: 72-9=63, Resulting Numbers: [45, 63]
Generated Node #0,1,1: 28:[45, 63] Operation: 72-9=63
Exploring Operation: 72-45=27, Resulting Numbers: [9, 27]
Generated Node #0,1,2: 28:[9, 27] Operation: 72-45=27
Exploring Operation: 45/9=5, Resulting Numbers: [72, 5]
Generated Node #0,1,3: 28:[72, 5] Operation: 45/9=5
Exploring Operation: 45-9=36, Resulting Numbers: [72, 36]
Generated Node #0,1,4: 28:[72, 36] Operation: 45-9=36
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 28:[9, 27], Operations: ['90/2=45', '72-45=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 28:[45, 8], Operations: ['90/2=45', '72/9=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,28 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 28:[72, 5], Operations: ['90/2=45', '45/9=5']
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,28 unequal: No Solution
Exploring Operation: 72*5=360, Resulting Numbers: [360]
360,28 unequal: No Solution
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 28:[45, 63], Operations: ['90/2=45', '72-9=63']
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 45+63=108, Resulting Numbers: [108]
108,28 unequal: No Solution
Exploring Operation: 45*63=2835, Resulting Numbers: [2835]
2835,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 28:[72, 36], Operations: ['90/2=45', '45-9=36']
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,28 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,28 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 28:[90, 2, 8], Operations: ['72/9=8']
Exploring Operation: 8-2=6, Resulting Numbers: [90, 6]
Generated Node #0,3,0: 28:[90, 6] Operation: 8-2=6
Exploring Operation: 8/2=4, Resulting Numbers: [90, 4]
Generated Node #0,3,1: 28:[90, 4] Operation: 8/2=4
Exploring Operation: 90-8=82, Resulting Numbers: [2, 82]
Generated Node #0,3,2: 28:[2, 82] Operation: 90-8=82
Exploring Operation: 90-2=88, Resulting Numbers: [8, 88]
Generated Node #0,3,3: 28:[8, 88] Operation: 90-2=88
Exploring Operation: 90/2=45, Resulting Numbers: [8, 45]
Generated Node #0,3,4: 28:[8, 45] Operation: 90/2=45
Moving to Node #0,2
Current State: 28:[90, 9, 36], Operations: ['72/2=36']
Exploring Operation: 36/9=4, Resulting Numbers: [90, 4]
Generated Node #0,2,0: 28:[90, 4] Operation: 36/9=4
Exploring Operation: 90-9=81, Resulting Numbers: [36, 81]
Generated Node #0,2,1: 28:[36, 81] Operation: 90-9=81
Exploring Operation: 90/9=10, Resulting Numbers: [36, 10]
Generated Node #0,2,2: 28:[36, 10] Operation: 90/9=10
Exploring Operation: 90-36=54, Resulting Numbers: [9, 54]
Generated Node #0,2,3: 28:[9, 54] Operation: 90-36=54
Exploring Operation: 36-9=27, Resulting Numbers: [90, 27]
Generated Node #0,2,4: 28:[90, 27] Operation: 36-9=27
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 28:[36, 10], Operations: ['72/2=36', '90/9=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 36*10=360, Resulting Numbers: [360]
360,28 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 28:[9, 54], Operations: ['72/2=36', '90-36=54']
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,28 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 9*54=486, Resulting Numbers: [486]
486,28 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 28:[36, 81], Operations: ['72/2=36', '90-9=81']
Exploring Operation: 81-36=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 36*81=2916, Resulting Numbers: [2916]
2916,28 unequal: No Solution
Exploring Operation: 36+81=117, Resulting Numbers: [117]
117,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[90, 4], Operations: ['72/2=36', '36/9=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,28 unequal: No Solution
Exploring Operation: 90*4=360, Resulting Numbers: [360]
360,28 unequal: No Solution
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 28:[90, 27], Operations: ['72/2=36', '36-9=27']
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,28 unequal: No Solution
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,28 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,4
Current State: 28:[8, 45], Operations: ['72/9=8', '90/2=45']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,28 unequal: No Solution
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,28 unequal: No Solution
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[2, 82], Operations: ['72/9=8', '90-8=82']
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,28 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,28 unequal: No Solution
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,28 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Moving to Node #0,3,3
Current State: 28:[8, 88], Operations: ['72/9=8', '90-2=88']
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,28 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Exploring Operation: 8*88=704, Resulting Numbers: [704]
704,28 unequal: No Solution
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,28 unequal: No Solution
Moving to Node #0,3,1
Current State: 28:[90, 4], Operations: ['72/9=8', '8/2=4']
Exploring Operation: 90*4=360, Resulting Numbers: [360]
360,28 unequal: No Solution
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,28 unequal: No Solution
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[90, 6], Operations: ['72/9=8', '8-2=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,28 unequal: No Solution
Exploring Operation: 90*6=540, Resulting Numbers: [540]
540,28 unequal: No Solution
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,28 unequal: No Solution
Exploring Operation: 90-6=84, Resulting Numbers: [84]
84,28 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
79,
21,
23,
10
] | 25 | [
"79-21=58",
"23+10=33",
"58-33=25"
] | Current State: 25:[79, 21, 23, 10], Operations: []
Exploring Operation: 79-21=58, Resulting Numbers: [23, 10, 58]
Generated Node #2: [23, 10, 58] from Operation: 79-21=58
Current State: 25:[23, 10, 58], Operations: ['79-21=58']
Exploring Operation: 23+10=33, Resulting Numbers: [58, 33]
Generated Node #3: [58, 33] from Operation: 23+10=33
Current State: 25:[58, 33], Operations: ['79-21=58', '23+10=33']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[79, 21, 23, 10], Operations: []
Exploring Operation: 21+10=31, Resulting Numbers: [79, 23, 31]
Generated Node #0,0: 25:[79, 23, 31] Operation: 21+10=31
Exploring Operation: 79-23=56, Resulting Numbers: [21, 10, 56]
Generated Node #0,1: 25:[21, 10, 56] Operation: 79-23=56
Exploring Operation: 79-10=69, Resulting Numbers: [21, 23, 69]
Generated Node #0,2: 25:[21, 23, 69] Operation: 79-10=69
Exploring Operation: 23-21=2, Resulting Numbers: [79, 10, 2]
Generated Node #0,3: 25:[79, 10, 2] Operation: 23-21=2
Exploring Operation: 79-21=58, Resulting Numbers: [23, 10, 58]
Generated Node #0,4: 25:[23, 10, 58] Operation: 79-21=58
Moving to Node #0,1
Current State: 25:[21, 10, 56], Operations: ['79-23=56']
Exploring Operation: 10+56=66, Resulting Numbers: [21, 66]
Generated Node #0,1,0: 25:[21, 66] Operation: 10+56=66
Exploring Operation: 21+10=31, Resulting Numbers: [56, 31]
Generated Node #0,1,1: 25:[56, 31] Operation: 21+10=31
Exploring Operation: 56-21=35, Resulting Numbers: [10, 35]
Generated Node #0,1,2: 25:[10, 35] Operation: 56-21=35
Exploring Operation: 56-10=46, Resulting Numbers: [21, 46]
Generated Node #0,1,3: 25:[21, 46] Operation: 56-10=46
Exploring Operation: 21-10=11, Resulting Numbers: [56, 11]
Generated Node #0,1,4: 25:[56, 11] Operation: 21-10=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[10, 35], Operations: ['79-23=56', '56-21=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,25 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[79, 21, 23, 10], Operations: []
Exploring Operation: 79-23=56, Resulting Numbers: [21, 10, 56]
Generated Node #0,1: 25:[21, 10, 56] Operation: 79-23=56
Moving to Node #0,1
Current State: 25:[21, 10, 56], Operations: ['79-23=56']
Exploring Operation: 56-21=35, Resulting Numbers: [10, 35]
Generated Node #0,1,2: 25:[10, 35] Operation: 56-21=35
Moving to Node #0,1,2
Current State: 25:[10, 35], Operations: ['79-23=56', '56-21=35']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
40,
68,
27,
59
] | 85 | [
"40*68=2720",
"59-27=32",
"2720/32=85"
] | Current State: 85:[40, 68, 27, 59], Operations: []
Exploring Operation: 40*68=2720, Resulting Numbers: [27, 59, 2720]
Generated Node #2: [27, 59, 2720] from Operation: 40*68=2720
Current State: 85:[27, 59, 2720], Operations: ['40*68=2720']
Exploring Operation: 59-27=32, Resulting Numbers: [2720, 32]
Generated Node #3: [2720, 32] from Operation: 59-27=32
Current State: 85:[2720, 32], Operations: ['40*68=2720', '59-27=32']
Exploring Operation: 2720/32=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[40, 68, 27, 59], Operations: []
Exploring Operation: 59-40=19, Resulting Numbers: [68, 27, 19]
Generated Node #0,0: 85:[68, 27, 19] Operation: 59-40=19
Exploring Operation: 68-59=9, Resulting Numbers: [40, 27, 9]
Generated Node #0,1: 85:[40, 27, 9] Operation: 68-59=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[68, 27, 19], Operations: ['59-40=19']
Exploring Operation: 68+27=95, Resulting Numbers: [19, 95]
Generated Node #0,0,0: 85:[19, 95] Operation: 68+27=95
Exploring Operation: 68+19=87, Resulting Numbers: [27, 87]
Generated Node #0,0,1: 85:[27, 87] Operation: 68+19=87
Moving to Node #0,0,0
Current State: 85:[19, 95], Operations: ['59-40=19', '68+27=95']
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Exploring Operation: 95/19=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Moving to Node #0,0,1
Current State: 85:[27, 87], Operations: ['59-40=19', '68+19=87']
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 27+87=114, Resulting Numbers: [114]
114,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[40, 27, 9], Operations: ['68-59=9']
Exploring Operation: 40+27=67, Resulting Numbers: [9, 67]
Generated Node #0,1,0: 85:[9, 67] Operation: 40+27=67
Exploring Operation: 40-27=13, Resulting Numbers: [9, 13]
Generated Node #0,1,1: 85:[9, 13] Operation: 40-27=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[9, 13], Operations: ['68-59=9', '40-27=13']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[9, 67], Operations: ['68-59=9', '40+27=67']
Exploring Operation: 9+67=76, Resulting Numbers: [76]
76,85 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
54,
54,
81,
25
] | 55 | [
"54/54=1",
"81-25=56",
"56-1=55"
] | Current State: 55:[54, 54, 81, 25], Operations: []
Exploring Operation: 54/54=1, Resulting Numbers: [81, 25, 1]
Generated Node #2: [81, 25, 1] from Operation: 54/54=1
Current State: 55:[81, 25, 1], Operations: ['54/54=1']
Exploring Operation: 81-25=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 81-25=56
Current State: 55:[1, 56], Operations: ['54/54=1', '81-25=56']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[54, 54, 81, 25], Operations: []
Exploring Operation: 81-25=56, Resulting Numbers: [54, 54, 56]
Generated Node #0,0: 55:[54, 54, 56] Operation: 81-25=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[54, 54, 56], Operations: ['81-25=56']
Exploring Operation: 56-54=2, Resulting Numbers: [54, 2]
Generated Node #0,0,0: 55:[54, 2] Operation: 56-54=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[54, 2], Operations: ['81-25=56', '56-54=2']
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
50,
9,
56,
16
] | 58 | [
"9+16=25",
"50/25=2",
"56+2=58"
] | Current State: 58:[50, 9, 56, 16], Operations: []
Exploring Operation: 9+16=25, Resulting Numbers: [50, 56, 25]
Generated Node #2: [50, 56, 25] from Operation: 9+16=25
Current State: 58:[50, 56, 25], Operations: ['9+16=25']
Exploring Operation: 50/25=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 50/25=2
Current State: 58:[56, 2], Operations: ['9+16=25', '50/25=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[50, 9, 56, 16], Operations: []
Exploring Operation: 9+16=25, Resulting Numbers: [50, 56, 25]
Generated Node #0,0: 58:[50, 56, 25] Operation: 9+16=25
Exploring Operation: 50-16=34, Resulting Numbers: [9, 56, 34]
Generated Node #0,1: 58:[9, 56, 34] Operation: 50-16=34
Exploring Operation: 16-9=7, Resulting Numbers: [50, 56, 7]
Generated Node #0,2: 58:[50, 56, 7] Operation: 16-9=7
Moving to Node #0,0
Current State: 58:[50, 56, 25], Operations: ['9+16=25']
Exploring Operation: 56-50=6, Resulting Numbers: [25, 6]
Generated Node #0,0,0: 58:[25, 6] Operation: 56-50=6
Exploring Operation: 50/25=2, Resulting Numbers: [56, 2]
Generated Node #0,0,1: 58:[56, 2] Operation: 50/25=2
Exploring Operation: 50-25=25, Resulting Numbers: [56, 25]
Generated Node #0,0,2: 58:[56, 25] Operation: 50-25=25
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[56, 2], Operations: ['9+16=25', '50/25=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,58 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[50, 9, 56, 16], Operations: []
Exploring Operation: 9+16=25, Resulting Numbers: [50, 56, 25]
Generated Node #0,0: 58:[50, 56, 25] Operation: 9+16=25
Moving to Node #0,0
Current State: 58:[50, 56, 25], Operations: ['9+16=25']
Exploring Operation: 50/25=2, Resulting Numbers: [56, 2]
Generated Node #0,0,1: 58:[56, 2] Operation: 50/25=2
Moving to Node #0,0,1
Current State: 58:[56, 2], Operations: ['9+16=25', '50/25=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
49,
6,
88,
90
] | 92 | [
"90-88=2",
"49*2=98",
"98-6=92"
] | Current State: 92:[49, 6, 88, 90], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [49, 6, 2]
Generated Node #2: [49, 6, 2] from Operation: 90-88=2
Current State: 92:[49, 6, 2], Operations: ['90-88=2']
Exploring Operation: 49*2=98, Resulting Numbers: [6, 98]
Generated Node #3: [6, 98] from Operation: 49*2=98
Current State: 92:[6, 98], Operations: ['90-88=2', '49*2=98']
Exploring Operation: 98-6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[49, 6, 88, 90], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [49, 6, 2]
Generated Node #0,0: 92:[49, 6, 2] Operation: 90-88=2
Exploring Operation: 49-6=43, Resulting Numbers: [88, 90, 43]
Generated Node #0,1: 92:[88, 90, 43] Operation: 49-6=43
Exploring Operation: 6+88=94, Resulting Numbers: [49, 90, 94]
Generated Node #0,2: 92:[49, 90, 94] Operation: 6+88=94
Exploring Operation: 90-49=41, Resulting Numbers: [6, 88, 41]
Generated Node #0,3: 92:[6, 88, 41] Operation: 90-49=41
Exploring Operation: 88-49=39, Resulting Numbers: [6, 90, 39]
Generated Node #0,4: 92:[6, 90, 39] Operation: 88-49=39
Moving to Node #0,0
Current State: 92:[49, 6, 2], Operations: ['90-88=2']
Exploring Operation: 6-2=4, Resulting Numbers: [49, 4]
Generated Node #0,0,0: 92:[49, 4] Operation: 6-2=4
Exploring Operation: 6/2=3, Resulting Numbers: [49, 3]
Generated Node #0,0,1: 92:[49, 3] Operation: 6/2=3
Exploring Operation: 49+2=51, Resulting Numbers: [6, 51]
Generated Node #0,0,2: 92:[6, 51] Operation: 49+2=51
Exploring Operation: 49-6=43, Resulting Numbers: [2, 43]
Generated Node #0,0,3: 92:[2, 43] Operation: 49-6=43
Exploring Operation: 49-2=47, Resulting Numbers: [6, 47]
Generated Node #0,0,4: 92:[6, 47] Operation: 49-2=47
Moving to Node #0,2
Current State: 92:[49, 90, 94], Operations: ['6+88=94']
Exploring Operation: 94-49=45, Resulting Numbers: [90, 45]
Generated Node #0,2,0: 92:[90, 45] Operation: 94-49=45
Exploring Operation: 49+90=139, Resulting Numbers: [94, 139]
Generated Node #0,2,1: 92:[94, 139] Operation: 49+90=139
Exploring Operation: 94-90=4, Resulting Numbers: [49, 4]
Generated Node #0,2,2: 92:[49, 4] Operation: 94-90=4
Exploring Operation: 90-49=41, Resulting Numbers: [94, 41]
Generated Node #0,2,3: 92:[94, 41] Operation: 90-49=41
Exploring Operation: 49+94=143, Resulting Numbers: [90, 143]
Generated Node #0,2,4: 92:[90, 143] Operation: 49+94=143
Moving to Node #0,1
Current State: 92:[88, 90, 43], Operations: ['49-6=43']
Exploring Operation: 88+43=131, Resulting Numbers: [90, 131]
Generated Node #0,1,0: 92:[90, 131] Operation: 88+43=131
Exploring Operation: 90-88=2, Resulting Numbers: [43, 2]
Generated Node #0,1,1: 92:[43, 2] Operation: 90-88=2
Exploring Operation: 90-43=47, Resulting Numbers: [88, 47]
Generated Node #0,1,2: 92:[88, 47] Operation: 90-43=47
Exploring Operation: 88-43=45, Resulting Numbers: [90, 45]
Generated Node #0,1,3: 92:[90, 45] Operation: 88-43=45
Exploring Operation: 90+43=133, Resulting Numbers: [88, 133]
Generated Node #0,1,4: 92:[88, 133] Operation: 90+43=133
Moving to Node #0,3
Current State: 92:[6, 88, 41], Operations: ['90-49=41']
Exploring Operation: 88-6=82, Resulting Numbers: [41, 82]
Generated Node #0,3,0: 92:[41, 82] Operation: 88-6=82
Exploring Operation: 6+41=47, Resulting Numbers: [88, 47]
Generated Node #0,3,1: 92:[88, 47] Operation: 6+41=47
Exploring Operation: 6+88=94, Resulting Numbers: [41, 94]
Generated Node #0,3,2: 92:[41, 94] Operation: 6+88=94
Exploring Operation: 88-41=47, Resulting Numbers: [6, 47]
Generated Node #0,3,3: 92:[6, 47] Operation: 88-41=47
Exploring Operation: 41-6=35, Resulting Numbers: [88, 35]
Generated Node #0,3,4: 92:[88, 35] Operation: 41-6=35
Moving to Node #0,4
Current State: 92:[6, 90, 39], Operations: ['88-49=39']
Exploring Operation: 6+90=96, Resulting Numbers: [39, 96]
Generated Node #0,4,0: 92:[39, 96] Operation: 6+90=96
Exploring Operation: 6+39=45, Resulting Numbers: [90, 45]
Generated Node #0,4,1: 92:[90, 45] Operation: 6+39=45
Exploring Operation: 90-39=51, Resulting Numbers: [6, 51]
Generated Node #0,4,2: 92:[6, 51] Operation: 90-39=51
Exploring Operation: 90-6=84, Resulting Numbers: [39, 84]
Generated Node #0,4,3: 92:[39, 84] Operation: 90-6=84
Exploring Operation: 39-6=33, Resulting Numbers: [90, 33]
Generated Node #0,4,4: 92:[90, 33] Operation: 39-6=33
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 92:[90, 45], Operations: ['88-49=39', '6+39=45']
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 90*45=4050, Resulting Numbers: [4050]
4050,92 unequal: No Solution
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 92:[6, 51], Operations: ['88-49=39', '90-39=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,92 unequal: No Solution
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 92:[39, 96], Operations: ['88-49=39', '6+90=96']
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,92 unequal: No Solution
Exploring Operation: 39*96=3744, Resulting Numbers: [3744]
3744,92 unequal: No Solution
Exploring Operation: 39+96=135, Resulting Numbers: [135]
135,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 92:[90, 33], Operations: ['88-49=39', '39-6=33']
Exploring Operation: 90*33=2970, Resulting Numbers: [2970]
2970,92 unequal: No Solution
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,92 unequal: No Solution
Exploring Operation: 90+33=123, Resulting Numbers: [123]
123,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 92:[39, 84], Operations: ['88-49=39', '90-6=84']
Exploring Operation: 84-39=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 39*84=3276, Resulting Numbers: [3276]
3276,92 unequal: No Solution
Exploring Operation: 39+84=123, Resulting Numbers: [123]
123,92 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: 92:[49, 4], Operations: ['90-88=2', '6-2=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,92 unequal: No Solution
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Moving to Node #0,0,4
Current State: 92:[6, 47], Operations: ['90-88=2', '49-2=47']
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,92 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[49, 4], Operations: ['6+88=94', '94-90=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[90, 45], Operations: ['6+88=94', '94-49=45']
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 90*45=4050, Resulting Numbers: [4050]
4050,92 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[90, 45], Operations: ['49-6=43', '88-43=45']
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 90*45=4050, Resulting Numbers: [4050]
4050,92 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 90+45=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[2, 43], Operations: ['90-88=2', '49-6=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[43, 2], Operations: ['49-6=43', '90-88=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[6, 47], Operations: ['90-49=41', '88-41=47']
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,92 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[49, 3], Operations: ['90-88=2', '6/2=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[88, 47], Operations: ['49-6=43', '90-43=47']
Exploring Operation: 88*47=4136, Resulting Numbers: [4136]
4136,92 unequal: No Solution
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[88, 47], Operations: ['90-49=41', '6+41=47']
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 88*47=4136, Resulting Numbers: [4136]
4136,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[6, 51], Operations: ['90-88=2', '49+2=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,92 unequal: No Solution
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[94, 41], Operations: ['6+88=94', '90-49=41']
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 94+41=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 94*41=3854, Resulting Numbers: [3854]
3854,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[41, 94], Operations: ['90-49=41', '6+88=94']
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 41*94=3854, Resulting Numbers: [3854]
3854,92 unequal: No Solution
Exploring Operation: 41+94=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[41, 82], Operations: ['90-49=41', '88-6=82']
Exploring Operation: 41+82=123, Resulting Numbers: [123]
123,92 unequal: No Solution
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 41*82=3362, Resulting Numbers: [3362]
3362,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[88, 35], Operations: ['90-49=41', '41-6=35']
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 88+35=123, Resulting Numbers: [123]
123,92 unequal: No Solution
Exploring Operation: 88*35=3080, Resulting Numbers: [3080]
3080,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[90, 131], Operations: ['49-6=43', '88+43=131']
Exploring Operation: 90*131=11790, Resulting Numbers: [11790]
11790,92 unequal: No Solution
Exploring Operation: 90+131=221, Resulting Numbers: [221]
221,92 unequal: No Solution
Exploring Operation: 131-90=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[88, 133], Operations: ['49-6=43', '90+43=133']
Exploring Operation: 88+133=221, Resulting Numbers: [221]
221,92 unequal: No Solution
Exploring Operation: 88*133=11704, Resulting Numbers: [11704]
11704,92 unequal: No Solution
Exploring Operation: 133-88=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[94, 139], Operations: ['6+88=94', '49+90=139']
Exploring Operation: 139-94=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 94+139=233, Resulting Numbers: [233]
233,92 unequal: No Solution
Exploring Operation: 94*139=13066, Resulting Numbers: [13066]
13066,92 unequal: No Solution
Moving to Node #0,2,4
Current State: 92:[90, 143], Operations: ['6+88=94', '49+94=143']
Exploring Operation: 90+143=233, Resulting Numbers: [233]
233,92 unequal: No Solution
Exploring Operation: 143-90=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 90*143=12870, Resulting Numbers: [12870]
12870,92 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
24,
49,
54,
66
] | 18 | [
"24+66=90",
"54-49=5",
"90/5=18"
] | Current State: 18:[24, 49, 54, 66], Operations: []
Exploring Operation: 24+66=90, Resulting Numbers: [49, 54, 90]
Generated Node #2: [49, 54, 90] from Operation: 24+66=90
Current State: 18:[49, 54, 90], Operations: ['24+66=90']
Exploring Operation: 54-49=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 54-49=5
Current State: 18:[90, 5], Operations: ['24+66=90', '54-49=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[24, 49, 54, 66], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [24, 54, 17]
Generated Node #0,0: 18:[24, 54, 17] Operation: 66-49=17
Exploring Operation: 54-49=5, Resulting Numbers: [24, 66, 5]
Generated Node #0,1: 18:[24, 66, 5] Operation: 54-49=5
Exploring Operation: 66-54=12, Resulting Numbers: [24, 49, 12]
Generated Node #0,2: 18:[24, 49, 12] Operation: 66-54=12
Moving to Node #0,2
Current State: 18:[24, 49, 12], Operations: ['66-54=12']
Exploring Operation: 49-24=25, Resulting Numbers: [12, 25]
Generated Node #0,2,0: 18:[12, 25] Operation: 49-24=25
Exploring Operation: 49-12=37, Resulting Numbers: [24, 37]
Generated Node #0,2,1: 18:[24, 37] Operation: 49-12=37
Exploring Operation: 24/12=2, Resulting Numbers: [49, 2]
Generated Node #0,2,2: 18:[49, 2] Operation: 24/12=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[12, 25], Operations: ['66-54=12', '49-24=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,18 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,18 unequal: No Solution
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[24, 37], Operations: ['66-54=12', '49-12=37']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,18 unequal: No Solution
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,18 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[49, 2], Operations: ['66-54=12', '24/12=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,18 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 18:[24, 54, 17], Operations: ['66-49=17']
Exploring Operation: 54-24=30, Resulting Numbers: [17, 30]
Generated Node #0,0,0: 18:[17, 30] Operation: 54-24=30
Exploring Operation: 54-17=37, Resulting Numbers: [24, 37]
Generated Node #0,0,1: 18:[24, 37] Operation: 54-17=37
Exploring Operation: 24-17=7, Resulting Numbers: [54, 7]
Generated Node #0,0,2: 18:[54, 7] Operation: 24-17=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[17, 30], Operations: ['66-49=17', '54-24=30']
Exploring Operation: 17*30=510, Resulting Numbers: [510]
510,18 unequal: No Solution
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[24, 37], Operations: ['66-49=17', '54-17=37']
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,18 unequal: No Solution
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,18 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 18:[54, 7], Operations: ['66-49=17', '24-17=7']
Exploring Operation: 54*7=378, Resulting Numbers: [378]
378,18 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,18 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: 18:[24, 66, 5], Operations: ['54-49=5']
Exploring Operation: 66-5=61, Resulting Numbers: [24, 61]
Generated Node #0,1,0: 18:[24, 61] Operation: 66-5=61
Exploring Operation: 24-5=19, Resulting Numbers: [66, 19]
Generated Node #0,1,1: 18:[66, 19] Operation: 24-5=19
Exploring Operation: 66-24=42, Resulting Numbers: [5, 42]
Generated Node #0,1,2: 18:[5, 42] Operation: 66-24=42
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[5, 42], Operations: ['54-49=5', '66-24=42']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,18 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[24, 61], Operations: ['54-49=5', '66-5=61']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,18 unequal: No Solution
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 24*61=1464, Resulting Numbers: [1464]
1464,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[66, 19], Operations: ['54-49=5', '24-5=19']
Exploring Operation: 66+19=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 66*19=1254, Resulting Numbers: [1254]
1254,18 unequal: No Solution
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
7,
28,
67,
49
] | 15 | [
"7*67=469",
"469-49=420",
"420/28=15"
] | Current State: 15:[7, 28, 67, 49], Operations: []
Exploring Operation: 7*67=469, Resulting Numbers: [28, 49, 469]
Generated Node #2: [28, 49, 469] from Operation: 7*67=469
Current State: 15:[28, 49, 469], Operations: ['7*67=469']
Exploring Operation: 469-49=420, Resulting Numbers: [28, 420]
Generated Node #3: [28, 420] from Operation: 469-49=420
Current State: 15:[28, 420], Operations: ['7*67=469', '469-49=420']
Exploring Operation: 420/28=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[7, 28, 67, 49], Operations: []
Exploring Operation: 67-49=18, Resulting Numbers: [7, 28, 18]
Generated Node #0,0: 15:[7, 28, 18] Operation: 67-49=18
Moving to Node #0,0
Current State: 15:[7, 28, 18], Operations: ['67-49=18']
Exploring Operation: 28/7=4, Resulting Numbers: [18, 4]
Generated Node #0,0,0: 15:[18, 4] Operation: 28/7=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[18, 4], Operations: ['67-49=18', '28/7=4']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
39,
71,
53,
56
] | 96 | [
"71-39=32",
"56-53=3",
"32*3=96"
] | Current State: 96:[39, 71, 53, 56], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [53, 56, 32]
Generated Node #2: [53, 56, 32] from Operation: 71-39=32
Current State: 96:[53, 56, 32], Operations: ['71-39=32']
Exploring Operation: 56-53=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 56-53=3
Current State: 96:[32, 3], Operations: ['71-39=32', '56-53=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[39, 71, 53, 56], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [53, 56, 32]
Generated Node #0,0: 96:[53, 56, 32] Operation: 71-39=32
Moving to Node #0,0
Current State: 96:[53, 56, 32], Operations: ['71-39=32']
Exploring Operation: 56-53=3, Resulting Numbers: [32, 3]
Generated Node #0,0,0: 96:[32, 3] Operation: 56-53=3
Moving to Node #0,0,0
Current State: 96:[32, 3], Operations: ['71-39=32', '56-53=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[39, 71, 53, 56], Operations: []
Exploring Operation: 71-39=32, Resulting Numbers: [53, 56, 32]
Generated Node #0,0: 96:[53, 56, 32] Operation: 71-39=32
Moving to Node #0,0
Current State: 96:[53, 56, 32], Operations: ['71-39=32']
Exploring Operation: 56-53=3, Resulting Numbers: [32, 3]
Generated Node #0,0,0: 96:[32, 3] Operation: 56-53=3
Moving to Node #0,0,0
Current State: 96:[32, 3], Operations: ['71-39=32', '56-53=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
19,
55,
3,
98
] | 94 | [
"19+98=117",
"117/3=39",
"55+39=94"
] | Current State: 94:[19, 55, 3, 98], Operations: []
Exploring Operation: 19+98=117, Resulting Numbers: [55, 3, 117]
Generated Node #2: [55, 3, 117] from Operation: 19+98=117
Current State: 94:[55, 3, 117], Operations: ['19+98=117']
Exploring Operation: 117/3=39, Resulting Numbers: [55, 39]
Generated Node #3: [55, 39] from Operation: 117/3=39
Current State: 94:[55, 39], Operations: ['19+98=117', '117/3=39']
Exploring Operation: 55+39=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[19, 55, 3, 98], Operations: []
Exploring Operation: 98-19=79, Resulting Numbers: [55, 3, 79]
Generated Node #0,0: 94:[55, 3, 79] Operation: 98-19=79
Exploring Operation: 19*3=57, Resulting Numbers: [55, 98, 57]
Generated Node #0,1: 94:[55, 98, 57] Operation: 19*3=57
Exploring Operation: 98-55=43, Resulting Numbers: [19, 3, 43]
Generated Node #0,2: 94:[19, 3, 43] Operation: 98-55=43
Exploring Operation: 55-19=36, Resulting Numbers: [3, 98, 36]
Generated Node #0,3: 94:[3, 98, 36] Operation: 55-19=36
Moving to Node #0,3
Current State: 94:[3, 98, 36], Operations: ['55-19=36']
Exploring Operation: 36/3=12, Resulting Numbers: [98, 12]
Generated Node #0,3,0: 94:[98, 12] Operation: 36/3=12
Exploring Operation: 3+36=39, Resulting Numbers: [98, 39]
Generated Node #0,3,1: 94:[98, 39] Operation: 3+36=39
Exploring Operation: 98-3=95, Resulting Numbers: [36, 95]
Generated Node #0,3,2: 94:[36, 95] Operation: 98-3=95
Exploring Operation: 98-36=62, Resulting Numbers: [3, 62]
Generated Node #0,3,3: 94:[3, 62] Operation: 98-36=62
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 94:[98, 39], Operations: ['55-19=36', '3+36=39']
Exploring Operation: 98-39=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 98+39=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 98*39=3822, Resulting Numbers: [3822]
3822,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 94:[36, 95], Operations: ['55-19=36', '98-3=95']
Exploring Operation: 36*95=3420, Resulting Numbers: [3420]
3420,94 unequal: No Solution
Exploring Operation: 36+95=131, Resulting Numbers: [131]
131,94 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 94:[98, 12], Operations: ['55-19=36', '36/3=12']
Exploring Operation: 98+12=110, Resulting Numbers: [110]
110,94 unequal: No Solution
Exploring Operation: 98*12=1176, Resulting Numbers: [1176]
1176,94 unequal: No Solution
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 94:[3, 62], Operations: ['55-19=36', '98-36=62']
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,94 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,94 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: 94:[19, 3, 43], Operations: ['98-55=43']
Exploring Operation: 19+43=62, Resulting Numbers: [3, 62]
Generated Node #0,2,0: 94:[3, 62] Operation: 19+43=62
Exploring Operation: 19-3=16, Resulting Numbers: [43, 16]
Generated Node #0,2,1: 94:[43, 16] Operation: 19-3=16
Exploring Operation: 19*3=57, Resulting Numbers: [43, 57]
Generated Node #0,2,2: 94:[43, 57] Operation: 19*3=57
Exploring Operation: 3+43=46, Resulting Numbers: [19, 46]
Generated Node #0,2,3: 94:[19, 46] Operation: 3+43=46
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 94:[43, 57], Operations: ['98-55=43', '19*3=57']
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,94 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[3, 62], Operations: ['98-55=43', '19+43=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,94 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[43, 16], Operations: ['98-55=43', '19-3=16']
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,94 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 94:[19, 46], Operations: ['98-55=43', '3+43=46']
Exploring Operation: 19*46=874, Resulting Numbers: [874]
874,94 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 19+46=65, Resulting Numbers: [65]
65,94 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: 94:[55, 98, 57], Operations: ['19*3=57']
Exploring Operation: 55+57=112, Resulting Numbers: [98, 112]
Generated Node #0,1,0: 94:[98, 112] Operation: 55+57=112
Exploring Operation: 98-55=43, Resulting Numbers: [57, 43]
Generated Node #0,1,1: 94:[57, 43] Operation: 98-55=43
Exploring Operation: 57-55=2, Resulting Numbers: [98, 2]
Generated Node #0,1,2: 94:[98, 2] Operation: 57-55=2
Exploring Operation: 98-57=41, Resulting Numbers: [55, 41]
Generated Node #0,1,3: 94:[55, 41] Operation: 98-57=41
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[98, 2], Operations: ['19*3=57', '57-55=2']
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,94 unequal: No Solution
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,94 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[57, 43], Operations: ['19*3=57', '98-55=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,94 unequal: No Solution
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,94 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[55, 41], Operations: ['19*3=57', '98-57=41']
Exploring Operation: 55*41=2255, Resulting Numbers: [2255]
2255,94 unequal: No Solution
Exploring Operation: 55+41=96, Resulting Numbers: [96]
96,94 unequal: No Solution
Exploring Operation: 55-41=14, Resulting Numbers: [14]
14,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[98, 112], Operations: ['19*3=57', '55+57=112']
Exploring Operation: 112-98=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 98*112=10976, Resulting Numbers: [10976]
10976,94 unequal: No Solution
Exploring Operation: 98+112=210, Resulting Numbers: [210]
210,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 94:[55, 3, 79], Operations: ['98-19=79']
Exploring Operation: 55+3=58, Resulting Numbers: [79, 58]
Generated Node #0,0,0: 94:[79, 58] Operation: 55+3=58
Exploring Operation: 79-55=24, Resulting Numbers: [3, 24]
Generated Node #0,0,1: 94:[3, 24] Operation: 79-55=24
Exploring Operation: 55-3=52, Resulting Numbers: [79, 52]
Generated Node #0,0,2: 94:[79, 52] Operation: 55-3=52
Exploring Operation: 3+79=82, Resulting Numbers: [55, 82]
Generated Node #0,0,3: 94:[55, 82] Operation: 3+79=82
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[79, 52], Operations: ['98-19=79', '55-3=52']
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,94 unequal: No Solution
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,94 unequal: No Solution
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[55, 82], Operations: ['98-19=79', '3+79=82']
Exploring Operation: 55+82=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 55*82=4510, Resulting Numbers: [4510]
4510,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[3, 24], Operations: ['98-19=79', '79-55=24']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,94 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[79, 58], Operations: ['98-19=79', '55+3=58']
Exploring Operation: 79-58=21, Resulting Numbers: [21]
21,94 unequal: No Solution
Exploring Operation: 79*58=4582, Resulting Numbers: [4582]
4582,94 unequal: No Solution
Exploring Operation: 79+58=137, Resulting Numbers: [137]
137,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
2,
89,
24,
9
] | 28 | [
"89-24=65",
"65-9=56",
"56/2=28"
] | Current State: 28:[2, 89, 24, 9], Operations: []
Exploring Operation: 89-24=65, Resulting Numbers: [2, 9, 65]
Generated Node #2: [2, 9, 65] from Operation: 89-24=65
Current State: 28:[2, 9, 65], Operations: ['89-24=65']
Exploring Operation: 65-9=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 65-9=56
Current State: 28:[2, 56], Operations: ['89-24=65', '65-9=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[2, 89, 24, 9], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [2, 89, 15]
Generated Node #0,0: 28:[2, 89, 15] Operation: 24-9=15
Exploring Operation: 89-9=80, Resulting Numbers: [2, 24, 80]
Generated Node #0,1: 28:[2, 24, 80] Operation: 89-9=80
Exploring Operation: 89-2=87, Resulting Numbers: [24, 9, 87]
Generated Node #0,2: 28:[24, 9, 87] Operation: 89-2=87
Exploring Operation: 89-24=65, Resulting Numbers: [2, 9, 65]
Generated Node #0,3: 28:[2, 9, 65] Operation: 89-24=65
Exploring Operation: 2+24=26, Resulting Numbers: [89, 9, 26]
Generated Node #0,4: 28:[89, 9, 26] Operation: 2+24=26
Moving to Node #0,3
Current State: 28:[2, 9, 65], Operations: ['89-24=65']
Exploring Operation: 9-2=7, Resulting Numbers: [65, 7]
Generated Node #0,3,0: 28:[65, 7] Operation: 9-2=7
Exploring Operation: 65-2=63, Resulting Numbers: [9, 63]
Generated Node #0,3,1: 28:[9, 63] Operation: 65-2=63
Exploring Operation: 2+9=11, Resulting Numbers: [65, 11]
Generated Node #0,3,2: 28:[65, 11] Operation: 2+9=11
Exploring Operation: 65-9=56, Resulting Numbers: [2, 56]
Generated Node #0,3,3: 28:[2, 56] Operation: 65-9=56
Exploring Operation: 2*9=18, Resulting Numbers: [65, 18]
Generated Node #0,3,4: 28:[65, 18] Operation: 2*9=18
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 28:[2, 56], Operations: ['89-24=65', '65-9=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[2, 89, 24, 9], Operations: []
Exploring Operation: 89-24=65, Resulting Numbers: [2, 9, 65]
Generated Node #0,3: 28:[2, 9, 65] Operation: 89-24=65
Moving to Node #0,3
Current State: 28:[2, 9, 65], Operations: ['89-24=65']
Exploring Operation: 65-9=56, Resulting Numbers: [2, 56]
Generated Node #0,3,3: 28:[2, 56] Operation: 65-9=56
Moving to Node #0,3,3
Current State: 28:[2, 56], Operations: ['89-24=65', '65-9=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
18,
2,
86,
58
] | 32 | [
"86-58=28",
"28/2=14",
"18+14=32"
] | Current State: 32:[18, 2, 86, 58], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [18, 2, 28]
Generated Node #2: [18, 2, 28] from Operation: 86-58=28
Current State: 32:[18, 2, 28], Operations: ['86-58=28']
Exploring Operation: 28/2=14, Resulting Numbers: [18, 14]
Generated Node #3: [18, 14] from Operation: 28/2=14
Current State: 32:[18, 14], Operations: ['86-58=28', '28/2=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[18, 2, 86, 58], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [18, 58, 43]
Generated Node #0,0: 32:[18, 58, 43] Operation: 86/2=43
Exploring Operation: 86-58=28, Resulting Numbers: [18, 2, 28]
Generated Node #0,1: 32:[18, 2, 28] Operation: 86-58=28
Moving to Node #0,1
Current State: 32:[18, 2, 28], Operations: ['86-58=28']
Exploring Operation: 28-18=10, Resulting Numbers: [2, 10]
Generated Node #0,1,0: 32:[2, 10] Operation: 28-18=10
Exploring Operation: 18-2=16, Resulting Numbers: [28, 16]
Generated Node #0,1,1: 32:[28, 16] Operation: 18-2=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 32:[2, 10], Operations: ['86-58=28', '28-18=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[28, 16], Operations: ['86-58=28', '18-2=16']
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,32 unequal: No Solution
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,32 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: 32:[18, 58, 43], Operations: ['86/2=43']
Exploring Operation: 58-18=40, Resulting Numbers: [43, 40]
Generated Node #0,0,0: 32:[43, 40] Operation: 58-18=40
Exploring Operation: 58-43=15, Resulting Numbers: [18, 15]
Generated Node #0,0,1: 32:[18, 15] Operation: 58-43=15
Moving to Node #0,0,1
Current State: 32:[18, 15], Operations: ['86/2=43', '58-43=15']
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[43, 40], Operations: ['86/2=43', '58-18=40']
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,32 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.