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 |
|---|---|---|---|---|---|---|---|---|
[
23,
96,
93,
22
] | 42 | [
"96-23=73",
"93+22=115",
"115-73=42"
] | Current State: 42:[23, 96, 93, 22], Operations: []
Exploring Operation: 96-23=73, Resulting Numbers: [93, 22, 73]
Generated Node #2: [93, 22, 73] from Operation: 96-23=73
Current State: 42:[93, 22, 73], Operations: ['96-23=73']
Exploring Operation: 93+22=115, Resulting Numbers: [73, 115]
Generated Node #3: [73, 115] from Operation: 93+22=115
Current State: 42:[73, 115], Operations: ['96-23=73', '93+22=115']
Exploring Operation: 115-73=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[23, 96, 93, 22], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [23, 22, 3]
Generated Node #0,0: 42:[23, 22, 3] Operation: 96-93=3
Moving to Node #0,0
Current State: 42:[23, 22, 3], Operations: ['96-93=3']
Exploring Operation: 23-22=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 42:[3, 1] Operation: 23-22=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[3, 1], Operations: ['96-93=3', '23-22=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
73,
84,
67,
87
] | 73 | [
"73-67=6",
"84/6=14",
"87-14=73"
] | Current State: 73:[73, 84, 67, 87], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [84, 87, 6]
Generated Node #2: [84, 87, 6] from Operation: 73-67=6
Current State: 73:[84, 87, 6], Operations: ['73-67=6']
Exploring Operation: 84/6=14, Resulting Numbers: [87, 14]
Generated Node #3: [87, 14] from Operation: 84/6=14
Current State: 73:[87, 14], Operations: ['73-67=6', '84/6=14']
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[73, 84, 67, 87], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [84, 67, 14]
Generated Node #0,0: 73:[84, 67, 14] Operation: 87-73=14
Exploring Operation: 84-73=11, Resulting Numbers: [67, 87, 11]
Generated Node #0,1: 73:[67, 87, 11] Operation: 84-73=11
Exploring Operation: 84-67=17, Resulting Numbers: [73, 87, 17]
Generated Node #0,2: 73:[73, 87, 17] Operation: 84-67=17
Exploring Operation: 87-84=3, Resulting Numbers: [73, 67, 3]
Generated Node #0,3: 73:[73, 67, 3] Operation: 87-84=3
Exploring Operation: 87-67=20, Resulting Numbers: [73, 84, 20]
Generated Node #0,4: 73:[73, 84, 20] Operation: 87-67=20
Moving to Node #0,4
Current State: 73:[73, 84, 20], Operations: ['87-67=20']
Exploring Operation: 84-20=64, Resulting Numbers: [73, 64]
Generated Node #0,4,0: 73:[73, 64] Operation: 84-20=64
Exploring Operation: 73-20=53, Resulting Numbers: [84, 53]
Generated Node #0,4,1: 73:[84, 53] Operation: 73-20=53
Exploring Operation: 84+20=104, Resulting Numbers: [73, 104]
Generated Node #0,4,2: 73:[73, 104] Operation: 84+20=104
Exploring Operation: 84-73=11, Resulting Numbers: [20, 11]
Generated Node #0,4,3: 73:[20, 11] Operation: 84-73=11
Exploring Operation: 73+20=93, Resulting Numbers: [84, 93]
Generated Node #0,4,4: 73:[84, 93] Operation: 73+20=93
Moving to Node #0,2
Current State: 73:[73, 87, 17], Operations: ['84-67=17']
Exploring Operation: 73-17=56, Resulting Numbers: [87, 56]
Generated Node #0,2,0: 73:[87, 56] Operation: 73-17=56
Exploring Operation: 87-17=70, Resulting Numbers: [73, 70]
Generated Node #0,2,1: 73:[73, 70] Operation: 87-17=70
Exploring Operation: 87-73=14, Resulting Numbers: [17, 14]
Generated Node #0,2,2: 73:[17, 14] Operation: 87-73=14
Exploring Operation: 87+17=104, Resulting Numbers: [73, 104]
Generated Node #0,2,3: 73:[73, 104] Operation: 87+17=104
Exploring Operation: 73+17=90, Resulting Numbers: [87, 90]
Generated Node #0,2,4: 73:[87, 90] Operation: 73+17=90
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[73, 70], Operations: ['84-67=17', '87-17=70']
Exploring Operation: 73*70=5110, Resulting Numbers: [5110]
5110,73 unequal: No Solution
Exploring Operation: 73+70=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[87, 56], Operations: ['84-67=17', '73-17=56']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Exploring Operation: 87+56=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 87*56=4872, Resulting Numbers: [4872]
4872,73 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 #0,2,3
Current State: 73:[73, 104], Operations: ['84-67=17', '87+17=104']
Exploring Operation: 73+104=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Exploring Operation: 104-73=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Exploring Operation: 73*104=7592, Resulting Numbers: [7592]
7592,73 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 #0,2,4
Current State: 73:[87, 90], Operations: ['84-67=17', '73+17=90']
Exploring Operation: 90-87=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 87*90=7830, Resulting Numbers: [7830]
7830,73 unequal: No Solution
Exploring Operation: 87+90=177, Resulting Numbers: [177]
177,73 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:[17, 14], Operations: ['84-67=17', '87-73=14']
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,73 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 73:[84, 67, 14], Operations: ['87-73=14']
Exploring Operation: 67+14=81, Resulting Numbers: [84, 81]
Generated Node #0,0,0: 73:[84, 81] Operation: 67+14=81
Exploring Operation: 67-14=53, Resulting Numbers: [84, 53]
Generated Node #0,0,1: 73:[84, 53] Operation: 67-14=53
Exploring Operation: 84/14=6, Resulting Numbers: [67, 6]
Generated Node #0,0,2: 73:[67, 6] Operation: 84/14=6
Exploring Operation: 84+14=98, Resulting Numbers: [67, 98]
Generated Node #0,0,3: 73:[67, 98] Operation: 84+14=98
Exploring Operation: 84-14=70, Resulting Numbers: [67, 70]
Generated Node #0,0,4: 73:[67, 70] Operation: 84-14=70
Moving to Node #0,3
Current State: 73:[73, 67, 3], Operations: ['87-84=3']
Exploring Operation: 73-3=70, Resulting Numbers: [67, 70]
Generated Node #0,3,0: 73:[67, 70] Operation: 73-3=70
Exploring Operation: 67+3=70, Resulting Numbers: [73, 70]
Generated Node #0,3,1: 73:[73, 70] Operation: 67+3=70
Exploring Operation: 67*3=201, Resulting Numbers: [73, 201]
Generated Node #0,3,2: 73:[73, 201] Operation: 67*3=201
Exploring Operation: 67-3=64, Resulting Numbers: [73, 64]
Generated Node #0,3,3: 73:[73, 64] Operation: 67-3=64
Exploring Operation: 73+3=76, Resulting Numbers: [67, 76]
Generated Node #0,3,4: 73:[67, 76] Operation: 73+3=76
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[73, 70], Operations: ['87-84=3', '67+3=70']
Exploring Operation: 73+70=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 73*70=5110, Resulting Numbers: [5110]
5110,73 unequal: No Solution
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[67, 70], Operations: ['87-84=3', '73-3=70']
Exploring Operation: 70-67=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 67*70=4690, Resulting Numbers: [4690]
4690,73 unequal: No Solution
Exploring Operation: 67+70=137, Resulting Numbers: [137]
137,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[73, 64], Operations: ['87-84=3', '67-3=64']
Exploring Operation: 73*64=4672, Resulting Numbers: [4672]
4672,73 unequal: No Solution
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 73+64=137, Resulting Numbers: [137]
137,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 73:[67, 76], Operations: ['87-84=3', '73+3=76']
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,73 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[73, 201], Operations: ['87-84=3', '67*3=201']
Exploring Operation: 201-73=128, Resulting Numbers: [128]
128,73 unequal: No Solution
Exploring Operation: 73+201=274, Resulting Numbers: [274]
274,73 unequal: No Solution
Exploring Operation: 73*201=14673, Resulting Numbers: [14673]
14673,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 73:[67, 87, 11], Operations: ['84-73=11']
Exploring Operation: 87+11=98, Resulting Numbers: [67, 98]
Generated Node #0,1,0: 73:[67, 98] Operation: 87+11=98
Exploring Operation: 67-11=56, Resulting Numbers: [87, 56]
Generated Node #0,1,1: 73:[87, 56] Operation: 67-11=56
Exploring Operation: 87-11=76, Resulting Numbers: [67, 76]
Generated Node #0,1,2: 73:[67, 76] Operation: 87-11=76
Exploring Operation: 67+11=78, Resulting Numbers: [87, 78]
Generated Node #0,1,3: 73:[87, 78] Operation: 67+11=78
Exploring Operation: 87-67=20, Resulting Numbers: [11, 20]
Generated Node #0,1,4: 73:[11, 20] Operation: 87-67=20
Moving to Node #0,4,0
Current State: 73:[73, 64], Operations: ['87-67=20', '84-20=64']
Exploring Operation: 73+64=137, Resulting Numbers: [137]
137,73 unequal: No Solution
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 73*64=4672, Resulting Numbers: [4672]
4672,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[67, 70], Operations: ['87-73=14', '84-14=70']
Exploring Operation: 67+70=137, Resulting Numbers: [137]
137,73 unequal: No Solution
Exploring Operation: 67*70=4690, Resulting Numbers: [4690]
4690,73 unequal: No Solution
Exploring Operation: 70-67=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[67, 76], Operations: ['84-73=11', '87-11=76']
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 67*76=5092, Resulting Numbers: [5092]
5092,73 unequal: No Solution
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[84, 81], Operations: ['87-73=14', '67+14=81']
Exploring Operation: 84+81=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 84*81=6804, Resulting Numbers: [6804]
6804,73 unequal: No Solution
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[87, 78], Operations: ['84-73=11', '67+11=78']
Exploring Operation: 87*78=6786, Resulting Numbers: [6786]
6786,73 unequal: No Solution
Exploring Operation: 87+78=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 87-78=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[87, 56], Operations: ['84-73=11', '67-11=56']
Exploring Operation: 87-56=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Exploring Operation: 87+56=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 87*56=4872, Resulting Numbers: [4872]
4872,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[67, 98], Operations: ['84-73=11', '87+11=98']
Exploring Operation: 67*98=6566, Resulting Numbers: [6566]
6566,73 unequal: No Solution
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Exploring Operation: 67+98=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[73, 104], Operations: ['87-67=20', '84+20=104']
Exploring Operation: 73*104=7592, Resulting Numbers: [7592]
7592,73 unequal: No Solution
Exploring Operation: 73+104=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Exploring Operation: 104-73=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[67, 98], Operations: ['87-73=14', '84+14=98']
Exploring Operation: 67+98=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 67*98=6566, Resulting Numbers: [6566]
6566,73 unequal: No Solution
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[84, 53], Operations: ['87-73=14', '67-14=53']
Exploring Operation: 84*53=4452, Resulting Numbers: [4452]
4452,73 unequal: No Solution
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Exploring Operation: 84+53=137, Resulting Numbers: [137]
137,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[84, 53], Operations: ['87-67=20', '73-20=53']
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Exploring Operation: 84*53=4452, Resulting Numbers: [4452]
4452,73 unequal: No Solution
Exploring Operation: 84+53=137, Resulting Numbers: [137]
137,73 unequal: No Solution
Moving to Node #0,4,4
Current State: 73:[84, 93], Operations: ['87-67=20', '73+20=93']
Exploring Operation: 84*93=7812, Resulting Numbers: [7812]
7812,73 unequal: No Solution
Exploring Operation: 93-84=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 84+93=177, Resulting Numbers: [177]
177,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[67, 6], Operations: ['87-73=14', '84/14=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 67*6=402, Resulting Numbers: [402]
402,73 unequal: No Solution
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[73, 84, 67, 87], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [84, 67, 14]
Generated Node #0,0: 73:[84, 67, 14] Operation: 87-73=14
Moving to Node #0,0
Current State: 73:[84, 67, 14], Operations: ['87-73=14']
Exploring Operation: 84/14=6, Resulting Numbers: [67, 6]
Generated Node #0,0,2: 73:[67, 6] Operation: 84/14=6
Moving to Node #0,0,2
Current State: 73:[67, 6], Operations: ['87-73=14', '84/14=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.91059 | hs_5 | sum_heuristic |
[
4,
34,
59,
36
] | 53 | [
"34-4=30",
"59-36=23",
"30+23=53"
] | Current State: 53:[4, 34, 59, 36], Operations: []
Exploring Operation: 34-4=30, Resulting Numbers: [59, 36, 30]
Generated Node #2: [59, 36, 30] from Operation: 34-4=30
Current State: 53:[59, 36, 30], Operations: ['34-4=30']
Exploring Operation: 59-36=23, Resulting Numbers: [30, 23]
Generated Node #3: [30, 23] from Operation: 59-36=23
Current State: 53:[30, 23], Operations: ['34-4=30', '59-36=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[4, 34, 59, 36], Operations: []
Exploring Operation: 4+34=38, Resulting Numbers: [59, 36, 38]
Generated Node #0,0: 53:[59, 36, 38] Operation: 4+34=38
Exploring Operation: 34-4=30, Resulting Numbers: [59, 36, 30]
Generated Node #0,1: 53:[59, 36, 30] Operation: 34-4=30
Exploring Operation: 59-4=55, Resulting Numbers: [34, 36, 55]
Generated Node #0,2: 53:[34, 36, 55] Operation: 59-4=55
Exploring Operation: 4+36=40, Resulting Numbers: [34, 59, 40]
Generated Node #0,3: 53:[34, 59, 40] Operation: 4+36=40
Moving to Node #0,0
Current State: 53:[59, 36, 38], Operations: ['4+34=38']
Exploring Operation: 36+38=74, Resulting Numbers: [59, 74]
Generated Node #0,0,0: 53:[59, 74] Operation: 36+38=74
Exploring Operation: 59+36=95, Resulting Numbers: [38, 95]
Generated Node #0,0,1: 53:[38, 95] Operation: 59+36=95
Exploring Operation: 59-36=23, Resulting Numbers: [38, 23]
Generated Node #0,0,2: 53:[38, 23] Operation: 59-36=23
Exploring Operation: 59-38=21, Resulting Numbers: [36, 21]
Generated Node #0,0,3: 53:[36, 21] Operation: 59-38=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[59, 74], Operations: ['4+34=38', '36+38=74']
Exploring Operation: 59+74=133, Resulting Numbers: [133]
133,53 unequal: No Solution
Exploring Operation: 59*74=4366, Resulting Numbers: [4366]
4366,53 unequal: No Solution
Exploring Operation: 74-59=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[38, 23], Operations: ['4+34=38', '59-36=23']
Exploring Operation: 38*23=874, Resulting Numbers: [874]
874,53 unequal: No Solution
Exploring Operation: 38+23=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 53:[36, 21], Operations: ['4+34=38', '59-38=21']
Exploring Operation: 36*21=756, Resulting Numbers: [756]
756,53 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[38, 95], Operations: ['4+34=38', '59+36=95']
Exploring Operation: 38+95=133, Resulting Numbers: [133]
133,53 unequal: No Solution
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,53 unequal: No Solution
Exploring Operation: 38*95=3610, Resulting Numbers: [3610]
3610,53 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: 53:[34, 59, 40], Operations: ['4+36=40']
Exploring Operation: 34+59=93, Resulting Numbers: [40, 93]
Generated Node #0,3,0: 53:[40, 93] Operation: 34+59=93
Exploring Operation: 34+40=74, Resulting Numbers: [59, 74]
Generated Node #0,3,1: 53:[59, 74] Operation: 34+40=74
Exploring Operation: 40-34=6, Resulting Numbers: [59, 6]
Generated Node #0,3,2: 53:[59, 6] Operation: 40-34=6
Exploring Operation: 59-34=25, Resulting Numbers: [40, 25]
Generated Node #0,3,3: 53:[40, 25] Operation: 59-34=25
Moving to Node #0,2
Current State: 53:[34, 36, 55], Operations: ['59-4=55']
Exploring Operation: 34+36=70, Resulting Numbers: [55, 70]
Generated Node #0,2,0: 53:[55, 70] Operation: 34+36=70
Exploring Operation: 55-34=21, Resulting Numbers: [36, 21]
Generated Node #0,2,1: 53:[36, 21] Operation: 55-34=21
Exploring Operation: 34+55=89, Resulting Numbers: [36, 89]
Generated Node #0,2,2: 53:[36, 89] Operation: 34+55=89
Exploring Operation: 36-34=2, Resulting Numbers: [55, 2]
Generated Node #0,2,3: 53:[55, 2] Operation: 36-34=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[55, 70], Operations: ['59-4=55', '34+36=70']
Exploring Operation: 55*70=3850, Resulting Numbers: [3850]
3850,53 unequal: No Solution
Exploring Operation: 55+70=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[36, 21], Operations: ['59-4=55', '55-34=21']
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,53 unequal: No Solution
Exploring Operation: 36-21=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 36*21=756, Resulting Numbers: [756]
756,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[36, 89], Operations: ['59-4=55', '34+55=89']
Exploring Operation: 36*89=3204, Resulting Numbers: [3204]
3204,53 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[4, 34, 59, 36], Operations: []
Exploring Operation: 59-4=55, Resulting Numbers: [34, 36, 55]
Generated Node #0,2: 53:[34, 36, 55] Operation: 59-4=55
Moving to Node #0,2
Current State: 53:[34, 36, 55], Operations: ['59-4=55']
Exploring Operation: 34+55=89, Resulting Numbers: [36, 89]
Generated Node #0,2,2: 53:[36, 89] Operation: 34+55=89
Moving to Node #0,2,2
Current State: 53:[36, 89], Operations: ['59-4=55', '34+55=89']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | mult_heuristic |
[
24,
54,
22,
76
] | 68 | [
"54-24=30",
"22+76=98",
"98-30=68"
] | Current State: 68:[24, 54, 22, 76], Operations: []
Exploring Operation: 54-24=30, Resulting Numbers: [22, 76, 30]
Generated Node #2: [22, 76, 30] from Operation: 54-24=30
Current State: 68:[22, 76, 30], Operations: ['54-24=30']
Exploring Operation: 22+76=98, Resulting Numbers: [30, 98]
Generated Node #3: [30, 98] from Operation: 22+76=98
Current State: 68:[30, 98], Operations: ['54-24=30', '22+76=98']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[24, 54, 22, 76], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [54, 76, 2]
Generated Node #0,0: 68:[54, 76, 2] Operation: 24-22=2
Exploring Operation: 54-22=32, Resulting Numbers: [24, 76, 32]
Generated Node #0,1: 68:[24, 76, 32] Operation: 54-22=32
Exploring Operation: 76-54=22, Resulting Numbers: [24, 22, 22]
Generated Node #0,2: 68:[24, 22, 22] Operation: 76-54=22
Exploring Operation: 54-24=30, Resulting Numbers: [22, 76, 30]
Generated Node #0,3: 68:[22, 76, 30] Operation: 54-24=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[24, 76, 32], Operations: ['54-22=32']
Exploring Operation: 32-24=8, Resulting Numbers: [76, 8]
Generated Node #0,1,0: 68:[76, 8] Operation: 32-24=8
Exploring Operation: 76-24=52, Resulting Numbers: [32, 52]
Generated Node #0,1,1: 68:[32, 52] Operation: 76-24=52
Exploring Operation: 24+32=56, Resulting Numbers: [76, 56]
Generated Node #0,1,2: 68:[76, 56] Operation: 24+32=56
Exploring Operation: 76-32=44, Resulting Numbers: [24, 44]
Generated Node #0,1,3: 68:[24, 44] Operation: 76-32=44
Moving to Node #0,1,0
Current State: 68:[76, 8], Operations: ['54-22=32', '32-24=8']
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,68 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[24, 54, 22, 76], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [24, 76, 32]
Generated Node #0,1: 68:[24, 76, 32] Operation: 54-22=32
Moving to Node #0,1
Current State: 68:[24, 76, 32], Operations: ['54-22=32']
Exploring Operation: 32-24=8, Resulting Numbers: [76, 8]
Generated Node #0,1,0: 68:[76, 8] Operation: 32-24=8
Moving to Node #0,1,0
Current State: 68:[76, 8], Operations: ['54-22=32', '32-24=8']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
36,
91,
90,
72
] | 92 | [
"72/36=2",
"91*2=182",
"182-90=92"
] | Current State: 92:[36, 91, 90, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [91, 90, 2]
Generated Node #2: [91, 90, 2] from Operation: 72/36=2
Current State: 92:[91, 90, 2], Operations: ['72/36=2']
Exploring Operation: 91*2=182, Resulting Numbers: [90, 182]
Generated Node #3: [90, 182] from Operation: 91*2=182
Current State: 92:[90, 182], Operations: ['72/36=2', '91*2=182']
Exploring Operation: 182-90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[36, 91, 90, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [91, 90, 2]
Generated Node #0,0: 92:[91, 90, 2] Operation: 72/36=2
Exploring Operation: 72-36=36, Resulting Numbers: [91, 90, 36]
Generated Node #0,1: 92:[91, 90, 36] Operation: 72-36=36
Moving to Node #0,0
Current State: 92:[91, 90, 2], Operations: ['72/36=2']
Exploring Operation: 91-90=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 92:[2, 1] Operation: 91-90=1
Exploring Operation: 90+2=92, Resulting Numbers: [91, 92]
Generated Node #0,0,1: 92:[91, 92] Operation: 90+2=92
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[2, 1], Operations: ['72/36=2', '91-90=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[91, 92], Operations: ['72/36=2', '90+2=92']
Exploring Operation: 92-91=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 91+92=183, Resulting Numbers: [183]
183,92 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: 92:[91, 90, 36], Operations: ['72-36=36']
Exploring Operation: 90-36=54, Resulting Numbers: [91, 54]
Generated Node #0,1,0: 92:[91, 54] Operation: 90-36=54
Exploring Operation: 91-90=1, Resulting Numbers: [36, 1]
Generated Node #0,1,1: 92:[36, 1] Operation: 91-90=1
Moving to Node #0,1,0
Current State: 92:[91, 54], Operations: ['72-36=36', '90-36=54']
Exploring Operation: 91+54=145, Resulting Numbers: [145]
145,92 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[36, 1], Operations: ['72-36=36', '91-90=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,92 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
42,
99,
82,
70
] | 95 | [
"99-42=57",
"82+70=152",
"152-57=95"
] | Current State: 95:[42, 99, 82, 70], Operations: []
Exploring Operation: 99-42=57, Resulting Numbers: [82, 70, 57]
Generated Node #2: [82, 70, 57] from Operation: 99-42=57
Current State: 95:[82, 70, 57], Operations: ['99-42=57']
Exploring Operation: 82+70=152, Resulting Numbers: [57, 152]
Generated Node #3: [57, 152] from Operation: 82+70=152
Current State: 95:[57, 152], Operations: ['99-42=57', '82+70=152']
Exploring Operation: 152-57=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[42, 99, 82, 70], Operations: []
Exploring Operation: 82-42=40, Resulting Numbers: [99, 70, 40]
Generated Node #0,0: 95:[99, 70, 40] Operation: 82-42=40
Exploring Operation: 99-70=29, Resulting Numbers: [42, 82, 29]
Generated Node #0,1: 95:[42, 82, 29] Operation: 99-70=29
Exploring Operation: 42+70=112, Resulting Numbers: [99, 82, 112]
Generated Node #0,2: 95:[99, 82, 112] Operation: 42+70=112
Exploring Operation: 82-70=12, Resulting Numbers: [42, 99, 12]
Generated Node #0,3: 95:[42, 99, 12] Operation: 82-70=12
Exploring Operation: 70-42=28, Resulting Numbers: [99, 82, 28]
Generated Node #0,4: 95:[99, 82, 28] Operation: 70-42=28
Moving to Node #0,4
Current State: 95:[99, 82, 28], Operations: ['70-42=28']
Exploring Operation: 99-28=71, Resulting Numbers: [82, 71]
Generated Node #0,4,0: 95:[82, 71] Operation: 99-28=71
Exploring Operation: 82+28=110, Resulting Numbers: [99, 110]
Generated Node #0,4,1: 95:[99, 110] Operation: 82+28=110
Exploring Operation: 99-82=17, Resulting Numbers: [28, 17]
Generated Node #0,4,2: 95:[28, 17] Operation: 99-82=17
Exploring Operation: 99+28=127, Resulting Numbers: [82, 127]
Generated Node #0,4,3: 95:[82, 127] Operation: 99+28=127
Exploring Operation: 82-28=54, Resulting Numbers: [99, 54]
Generated Node #0,4,4: 95:[99, 54] Operation: 82-28=54
Moving to Node #0,3
Current State: 95:[42, 99, 12], Operations: ['82-70=12']
Exploring Operation: 42+12=54, Resulting Numbers: [99, 54]
Generated Node #0,3,0: 95:[99, 54] Operation: 42+12=54
Exploring Operation: 99+12=111, Resulting Numbers: [42, 111]
Generated Node #0,3,1: 95:[42, 111] Operation: 99+12=111
Exploring Operation: 99-12=87, Resulting Numbers: [42, 87]
Generated Node #0,3,2: 95:[42, 87] Operation: 99-12=87
Exploring Operation: 42-12=30, Resulting Numbers: [99, 30]
Generated Node #0,3,3: 95:[99, 30] Operation: 42-12=30
Exploring Operation: 99-42=57, Resulting Numbers: [12, 57]
Generated Node #0,3,4: 95:[12, 57] Operation: 99-42=57
Moving to Node #0,2
Current State: 95:[99, 82, 112], Operations: ['42+70=112']
Exploring Operation: 99-82=17, Resulting Numbers: [112, 17]
Generated Node #0,2,0: 95:[112, 17] Operation: 99-82=17
Exploring Operation: 112-82=30, Resulting Numbers: [99, 30]
Generated Node #0,2,1: 95:[99, 30] Operation: 112-82=30
Exploring Operation: 82+112=194, Resulting Numbers: [99, 194]
Generated Node #0,2,2: 95:[99, 194] Operation: 82+112=194
Exploring Operation: 112-99=13, Resulting Numbers: [82, 13]
Generated Node #0,2,3: 95:[82, 13] Operation: 112-99=13
Exploring Operation: 99+82=181, Resulting Numbers: [112, 181]
Generated Node #0,2,4: 95:[112, 181] Operation: 99+82=181
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[99, 30], Operations: ['42+70=112', '112-82=30']
Exploring Operation: 99+30=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,95 unequal: No Solution
Exploring Operation: 99*30=2970, Resulting Numbers: [2970]
2970,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[112, 17], Operations: ['42+70=112', '99-82=17']
Exploring Operation: 112-17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[42, 99, 82, 70], Operations: []
Exploring Operation: 42+70=112, Resulting Numbers: [99, 82, 112]
Generated Node #0,2: 95:[99, 82, 112] Operation: 42+70=112
Moving to Node #0,2
Current State: 95:[99, 82, 112], Operations: ['42+70=112']
Exploring Operation: 99-82=17, Resulting Numbers: [112, 17]
Generated Node #0,2,0: 95:[112, 17] Operation: 99-82=17
Moving to Node #0,2,0
Current State: 95:[112, 17], Operations: ['42+70=112', '99-82=17']
Exploring Operation: 112-17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | sum_heuristic |
[
88,
12,
5,
30
] | 41 | [
"88-12=76",
"5+30=35",
"76-35=41"
] | Current State: 41:[88, 12, 5, 30], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [5, 30, 76]
Generated Node #2: [5, 30, 76] from Operation: 88-12=76
Current State: 41:[5, 30, 76], Operations: ['88-12=76']
Exploring Operation: 5+30=35, Resulting Numbers: [76, 35]
Generated Node #3: [76, 35] from Operation: 5+30=35
Current State: 41:[76, 35], Operations: ['88-12=76', '5+30=35']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[88, 12, 5, 30], Operations: []
Exploring Operation: 88-5=83, Resulting Numbers: [12, 30, 83]
Generated Node #0,0: 41:[12, 30, 83] Operation: 88-5=83
Exploring Operation: 88-30=58, Resulting Numbers: [12, 5, 58]
Generated Node #0,1: 41:[12, 5, 58] Operation: 88-30=58
Exploring Operation: 12*5=60, Resulting Numbers: [88, 30, 60]
Generated Node #0,2: 41:[88, 30, 60] Operation: 12*5=60
Exploring Operation: 12+5=17, Resulting Numbers: [88, 30, 17]
Generated Node #0,3: 41:[88, 30, 17] Operation: 12+5=17
Exploring Operation: 88-12=76, Resulting Numbers: [5, 30, 76]
Generated Node #0,4: 41:[5, 30, 76] Operation: 88-12=76
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[88, 30, 60], Operations: ['12*5=60']
Exploring Operation: 88+30=118, Resulting Numbers: [60, 118]
Generated Node #0,2,0: 41:[60, 118] Operation: 88+30=118
Exploring Operation: 60-30=30, Resulting Numbers: [88, 30]
Generated Node #0,2,1: 41:[88, 30] Operation: 60-30=30
Exploring Operation: 60/30=2, Resulting Numbers: [88, 2]
Generated Node #0,2,2: 41:[88, 2] Operation: 60/30=2
Exploring Operation: 88-30=58, Resulting Numbers: [60, 58]
Generated Node #0,2,3: 41:[60, 58] Operation: 88-30=58
Exploring Operation: 88-60=28, Resulting Numbers: [30, 28]
Generated Node #0,2,4: 41:[30, 28] Operation: 88-60=28
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 41:[30, 28], Operations: ['12*5=60', '88-60=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 41:[60, 58], Operations: ['12*5=60', '88-30=58']
Exploring Operation: 60+58=118, Resulting Numbers: [118]
118,41 unequal: No Solution
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 60*58=3480, Resulting Numbers: [3480]
3480,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 41:[88, 30], Operations: ['12*5=60', '60-30=30']
Exploring Operation: 88*30=2640, Resulting Numbers: [2640]
2640,41 unequal: No Solution
Exploring Operation: 88+30=118, Resulting Numbers: [118]
118,41 unequal: No Solution
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 41:[88, 2], Operations: ['12*5=60', '60/30=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,41 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,41 unequal: No Solution
Exploring Operation: 88*2=176, Resulting Numbers: [176]
176,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[60, 118], Operations: ['12*5=60', '88+30=118']
Exploring Operation: 60+118=178, Resulting Numbers: [178]
178,41 unequal: No Solution
Exploring Operation: 118-60=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 60*118=7080, Resulting Numbers: [7080]
7080,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[12, 30, 83], Operations: ['88-5=83']
Exploring Operation: 12+30=42, Resulting Numbers: [83, 42]
Generated Node #0,0,0: 41:[83, 42] Operation: 12+30=42
Exploring Operation: 30-12=18, Resulting Numbers: [83, 18]
Generated Node #0,0,1: 41:[83, 18] Operation: 30-12=18
Exploring Operation: 83-12=71, Resulting Numbers: [30, 71]
Generated Node #0,0,2: 41:[30, 71] Operation: 83-12=71
Exploring Operation: 12+83=95, Resulting Numbers: [30, 95]
Generated Node #0,0,3: 41:[30, 95] Operation: 12+83=95
Exploring Operation: 83-30=53, Resulting Numbers: [12, 53]
Generated Node #0,0,4: 41:[12, 53] Operation: 83-30=53
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[30, 71], Operations: ['88-5=83', '83-12=71']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[88, 12, 5, 30], Operations: []
Exploring Operation: 88-5=83, Resulting Numbers: [12, 30, 83]
Generated Node #0,0: 41:[12, 30, 83] Operation: 88-5=83
Moving to Node #0,0
Current State: 41:[12, 30, 83], Operations: ['88-5=83']
Exploring Operation: 83-12=71, Resulting Numbers: [30, 71]
Generated Node #0,0,2: 41:[30, 71] Operation: 83-12=71
Moving to Node #0,0,2
Current State: 41:[30, 71], Operations: ['88-5=83', '83-12=71']
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
41,
12,
11,
99
] | 38 | [
"41-12=29",
"99/11=9",
"29+9=38"
] | Current State: 38:[41, 12, 11, 99], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [11, 99, 29]
Generated Node #2: [11, 99, 29] from Operation: 41-12=29
Current State: 38:[11, 99, 29], Operations: ['41-12=29']
Exploring Operation: 99/11=9, Resulting Numbers: [29, 9]
Generated Node #3: [29, 9] from Operation: 99/11=9
Current State: 38:[29, 9], Operations: ['41-12=29', '99/11=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[41, 12, 11, 99], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [41, 12, 9]
Generated Node #0,0: 38:[41, 12, 9] Operation: 99/11=9
Exploring Operation: 99-41=58, Resulting Numbers: [12, 11, 58]
Generated Node #0,1: 38:[12, 11, 58] Operation: 99-41=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[41, 12, 9], Operations: ['99/11=9']
Exploring Operation: 12+9=21, Resulting Numbers: [41, 21]
Generated Node #0,0,0: 38:[41, 21] Operation: 12+9=21
Exploring Operation: 12-9=3, Resulting Numbers: [41, 3]
Generated Node #0,0,1: 38:[41, 3] Operation: 12-9=3
Moving to Node #0,0,1
Current State: 38:[41, 3], Operations: ['99/11=9', '12-9=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[41, 12, 11, 99], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [41, 12, 9]
Generated Node #0,0: 38:[41, 12, 9] Operation: 99/11=9
Moving to Node #0,0
Current State: 38:[41, 12, 9], Operations: ['99/11=9']
Exploring Operation: 12-9=3, Resulting Numbers: [41, 3]
Generated Node #0,0,1: 38:[41, 3] Operation: 12-9=3
Moving to Node #0,0,1
Current State: 38:[41, 3], Operations: ['99/11=9', '12-9=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
1,
34,
3,
15
] | 15 | [
"34-1=33",
"3+15=18",
"33-18=15"
] | Current State: 15:[1, 34, 3, 15], Operations: []
Exploring Operation: 34-1=33, Resulting Numbers: [3, 15, 33]
Generated Node #2: [3, 15, 33] from Operation: 34-1=33
Current State: 15:[3, 15, 33], Operations: ['34-1=33']
Exploring Operation: 3+15=18, Resulting Numbers: [33, 18]
Generated Node #3: [33, 18] from Operation: 3+15=18
Current State: 15:[33, 18], Operations: ['34-1=33', '3+15=18']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[1, 34, 3, 15], Operations: []
Exploring Operation: 34/1=34, Resulting Numbers: [3, 15, 34]
Generated Node #0,0: 15:[3, 15, 34] Operation: 34/1=34
Exploring Operation: 34-3=31, Resulting Numbers: [1, 15, 31]
Generated Node #0,1: 15:[1, 15, 31] Operation: 34-3=31
Exploring Operation: 1*34=34, Resulting Numbers: [3, 15, 34]
Generated Node #0,2: 15:[3, 15, 34] Operation: 1*34=34
Exploring Operation: 34-15=19, Resulting Numbers: [1, 3, 19]
Generated Node #0,3: 15:[1, 3, 19] Operation: 34-15=19
Exploring Operation: 34-1=33, Resulting Numbers: [3, 15, 33]
Generated Node #0,4: 15:[3, 15, 33] Operation: 34-1=33
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[1, 3, 19], Operations: ['34-15=19']
Exploring Operation: 3/1=3, Resulting Numbers: [19, 3]
Generated Node #0,3,0: 15:[19, 3] Operation: 3/1=3
Exploring Operation: 1*3=3, Resulting Numbers: [19, 3]
Generated Node #0,3,1: 15:[19, 3] Operation: 1*3=3
Exploring Operation: 1*19=19, Resulting Numbers: [3, 19]
Generated Node #0,3,2: 15:[3, 19] Operation: 1*19=19
Exploring Operation: 19-1=18, Resulting Numbers: [3, 18]
Generated Node #0,3,3: 15:[3, 18] Operation: 19-1=18
Exploring Operation: 19-3=16, Resulting Numbers: [1, 16]
Generated Node #0,3,4: 15:[1, 16] Operation: 19-3=16
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 15:[3, 18], Operations: ['34-15=19', '19-1=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[1, 34, 3, 15], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [1, 3, 19]
Generated Node #0,3: 15:[1, 3, 19] Operation: 34-15=19
Moving to Node #0,3
Current State: 15:[1, 3, 19], Operations: ['34-15=19']
Exploring Operation: 19-1=18, Resulting Numbers: [3, 18]
Generated Node #0,3,3: 15:[3, 18] Operation: 19-1=18
Moving to Node #0,3,3
Current State: 15:[3, 18], Operations: ['34-15=19', '19-1=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
31,
31,
17,
77
] | 93 | [
"31/31=1",
"17+77=94",
"94-1=93"
] | Current State: 93:[31, 31, 17, 77], Operations: []
Exploring Operation: 31/31=1, Resulting Numbers: [17, 77, 1]
Generated Node #2: [17, 77, 1] from Operation: 31/31=1
Current State: 93:[17, 77, 1], Operations: ['31/31=1']
Exploring Operation: 17+77=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 17+77=94
Current State: 93:[1, 94], Operations: ['31/31=1', '17+77=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[31, 31, 17, 77], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [31, 77, 14]
Generated Node #0,0: 93:[31, 77, 14] Operation: 31-17=14
Exploring Operation: 31-17=14, Resulting Numbers: [31, 77, 14]
Generated Node #0,1: 93:[31, 77, 14] Operation: 31-17=14
Exploring Operation: 17+77=94, Resulting Numbers: [31, 31, 94]
Generated Node #0,2: 93:[31, 31, 94] Operation: 17+77=94
Moving to Node #0,2
Current State: 93:[31, 31, 94], Operations: ['17+77=94']
Exploring Operation: 31/31=1, Resulting Numbers: [94, 1]
Generated Node #0,2,0: 93:[94, 1] Operation: 31/31=1
Exploring Operation: 31-31=0, Resulting Numbers: [94, 0]
Generated Node #0,2,1: 93:[94, 0] Operation: 31-31=0
Exploring Operation: 94-31=63, Resulting Numbers: [31, 63]
Generated Node #0,2,2: 93:[31, 63] Operation: 94-31=63
Moving to Node #0,0
Current State: 93:[31, 77, 14], Operations: ['31-17=14']
Exploring Operation: 77-31=46, Resulting Numbers: [14, 46]
Generated Node #0,0,0: 93:[14, 46] Operation: 77-31=46
Exploring Operation: 77+14=91, Resulting Numbers: [31, 91]
Generated Node #0,0,1: 93:[31, 91] Operation: 77+14=91
Exploring Operation: 31+77=108, Resulting Numbers: [14, 108]
Generated Node #0,0,2: 93:[14, 108] Operation: 31+77=108
Moving to Node #0,1
Current State: 93:[31, 77, 14], Operations: ['31-17=14']
Exploring Operation: 77+14=91, Resulting Numbers: [31, 91]
Generated Node #0,1,0: 93:[31, 91] Operation: 77+14=91
Exploring Operation: 77-31=46, Resulting Numbers: [14, 46]
Generated Node #0,1,1: 93:[14, 46] Operation: 77-31=46
Exploring Operation: 31+77=108, Resulting Numbers: [14, 108]
Generated Node #0,1,2: 93:[14, 108] Operation: 31+77=108
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[31, 91], Operations: ['31-17=14', '77+14=91']
Exploring Operation: 31+91=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 31*91=2821, Resulting Numbers: [2821]
2821,93 unequal: No Solution
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,93 unequal: No Solution
No 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: 93:[14, 46], Operations: ['31-17=14', '77-31=46']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 14*46=644, Resulting Numbers: [644]
644,93 unequal: No Solution
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,93 unequal: No Solution
No 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: 93:[14, 108], Operations: ['31-17=14', '31+77=108']
Exploring Operation: 108-14=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 14+108=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 14*108=1512, Resulting Numbers: [1512]
1512,93 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: 93:[31, 91], Operations: ['31-17=14', '77+14=91']
Exploring Operation: 31*91=2821, Resulting Numbers: [2821]
2821,93 unequal: No Solution
Exploring Operation: 31+91=122, Resulting Numbers: [122]
122,93 unequal: No Solution
Exploring Operation: 91-31=60, Resulting Numbers: [60]
60,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[94, 1], Operations: ['17+77=94', '31/31=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[31, 31, 17, 77], Operations: []
Exploring Operation: 17+77=94, Resulting Numbers: [31, 31, 94]
Generated Node #0,2: 93:[31, 31, 94] Operation: 17+77=94
Moving to Node #0,2
Current State: 93:[31, 31, 94], Operations: ['17+77=94']
Exploring Operation: 31/31=1, Resulting Numbers: [94, 1]
Generated Node #0,2,0: 93:[94, 1] Operation: 31/31=1
Moving to Node #0,2,0
Current State: 93:[94, 1], Operations: ['17+77=94', '31/31=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.97309 | hs_3 | mult_heuristic |
[
4,
60,
53,
2
] | 23 | [
"60/4=15",
"2*15=30",
"53-30=23"
] | Current State: 23:[4, 60, 53, 2], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [53, 2, 15]
Generated Node #2: [53, 2, 15] from Operation: 60/4=15
Current State: 23:[53, 2, 15], Operations: ['60/4=15']
Exploring Operation: 2*15=30, Resulting Numbers: [53, 30]
Generated Node #3: [53, 30] from Operation: 2*15=30
Current State: 23:[53, 30], Operations: ['60/4=15', '2*15=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[4, 60, 53, 2], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [53, 2, 15]
Generated Node #0,0: 23:[53, 2, 15] Operation: 60/4=15
Exploring Operation: 60-53=7, Resulting Numbers: [4, 2, 7]
Generated Node #0,1: 23:[4, 2, 7] Operation: 60-53=7
Exploring Operation: 4*2=8, Resulting Numbers: [60, 53, 8]
Generated Node #0,2: 23:[60, 53, 8] Operation: 4*2=8
Exploring Operation: 60/2=30, Resulting Numbers: [4, 53, 30]
Generated Node #0,3: 23:[4, 53, 30] Operation: 60/2=30
Exploring Operation: 60-4=56, Resulting Numbers: [53, 2, 56]
Generated Node #0,4: 23:[53, 2, 56] Operation: 60-4=56
Moving to Node #0,1
Current State: 23:[4, 2, 7], Operations: ['60-53=7']
Exploring Operation: 4*2=8, Resulting Numbers: [7, 8]
Generated Node #0,1,0: 23:[7, 8] Operation: 4*2=8
Exploring Operation: 4+7=11, Resulting Numbers: [2, 11]
Generated Node #0,1,1: 23:[2, 11] Operation: 4+7=11
Exploring Operation: 2*7=14, Resulting Numbers: [4, 14]
Generated Node #0,1,2: 23:[4, 14] Operation: 2*7=14
Exploring Operation: 4*7=28, Resulting Numbers: [2, 28]
Generated Node #0,1,3: 23:[2, 28] Operation: 4*7=28
Exploring Operation: 4+2=6, Resulting Numbers: [7, 6]
Generated Node #0,1,4: 23:[7, 6] Operation: 4+2=6
Moving to Node #0,3
Current State: 23:[4, 53, 30], Operations: ['60/2=30']
Exploring Operation: 4+30=34, Resulting Numbers: [53, 34]
Generated Node #0,3,0: 23:[53, 34] Operation: 4+30=34
Exploring Operation: 53-30=23, Resulting Numbers: [4, 23]
Generated Node #0,3,1: 23:[4, 23] Operation: 53-30=23
Exploring Operation: 4+53=57, Resulting Numbers: [30, 57]
Generated Node #0,3,2: 23:[30, 57] Operation: 4+53=57
Exploring Operation: 30-4=26, Resulting Numbers: [53, 26]
Generated Node #0,3,3: 23:[53, 26] Operation: 30-4=26
Exploring Operation: 53-4=49, Resulting Numbers: [30, 49]
Generated Node #0,3,4: 23:[30, 49] Operation: 53-4=49
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[4, 23], Operations: ['60/2=30', '53-30=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,23 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 23:[53, 26], Operations: ['60/2=30', '30-4=26']
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,23 unequal: No Solution
Exploring Operation: 53*26=1378, Resulting Numbers: [1378]
1378,23 unequal: No Solution
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 23:[30, 49], Operations: ['60/2=30', '53-4=49']
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,23 unequal: No Solution
Exploring Operation: 30*49=1470, Resulting Numbers: [1470]
1470,23 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 23:[53, 34], Operations: ['60/2=30', '4+30=34']
Exploring Operation: 53*34=1802, Resulting Numbers: [1802]
1802,23 unequal: No Solution
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 53+34=87, Resulting Numbers: [87]
87,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[30, 57], Operations: ['60/2=30', '4+53=57']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 30*57=1710, Resulting Numbers: [1710]
1710,23 unequal: No Solution
Exploring Operation: 30+57=87, Resulting Numbers: [87]
87,23 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: 23:[53, 2, 15], Operations: ['60/4=15']
Exploring Operation: 2*15=30, Resulting Numbers: [53, 30]
Generated Node #0,0,0: 23:[53, 30] Operation: 2*15=30
Exploring Operation: 2+15=17, Resulting Numbers: [53, 17]
Generated Node #0,0,1: 23:[53, 17] Operation: 2+15=17
Exploring Operation: 53+2=55, Resulting Numbers: [15, 55]
Generated Node #0,0,2: 23:[15, 55] Operation: 53+2=55
Exploring Operation: 53-2=51, Resulting Numbers: [15, 51]
Generated Node #0,0,3: 23:[15, 51] Operation: 53-2=51
Exploring Operation: 53-15=38, Resulting Numbers: [2, 38]
Generated Node #0,0,4: 23:[2, 38] Operation: 53-15=38
Moving to Node #0,2
Current State: 23:[60, 53, 8], Operations: ['4*2=8']
Exploring Operation: 60-53=7, Resulting Numbers: [8, 7]
Generated Node #0,2,0: 23:[8, 7] Operation: 60-53=7
Exploring Operation: 60+8=68, Resulting Numbers: [53, 68]
Generated Node #0,2,1: 23:[53, 68] Operation: 60+8=68
Exploring Operation: 60-8=52, Resulting Numbers: [53, 52]
Generated Node #0,2,2: 23:[53, 52] Operation: 60-8=52
Exploring Operation: 53-8=45, Resulting Numbers: [60, 45]
Generated Node #0,2,3: 23:[60, 45] Operation: 53-8=45
Exploring Operation: 53+8=61, Resulting Numbers: [60, 61]
Generated Node #0,2,4: 23:[60, 61] Operation: 53+8=61
Moving to Node #0,4
Current State: 23:[53, 2, 56], Operations: ['60-4=56']
Exploring Operation: 56-2=54, Resulting Numbers: [53, 54]
Generated Node #0,4,0: 23:[53, 54] Operation: 56-2=54
Exploring Operation: 53+2=55, Resulting Numbers: [56, 55]
Generated Node #0,4,1: 23:[56, 55] Operation: 53+2=55
Exploring Operation: 56-53=3, Resulting Numbers: [2, 3]
Generated Node #0,4,2: 23:[2, 3] Operation: 56-53=3
Exploring Operation: 56/2=28, Resulting Numbers: [53, 28]
Generated Node #0,4,3: 23:[53, 28] Operation: 56/2=28
Exploring Operation: 53-2=51, Resulting Numbers: [56, 51]
Generated Node #0,4,4: 23:[56, 51] Operation: 53-2=51
Moving to Node #0,1,3
Current State: 23:[2, 28], Operations: ['60-53=7', '4*7=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,23 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,23 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[4, 14], Operations: ['60-53=7', '2*7=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[7, 8], Operations: ['60-53=7', '4*2=8']
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[8, 7], Operations: ['4*2=8', '60-53=7']
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,23 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Moving to Node #0,1,4
Current State: 23:[7, 6], Operations: ['60-53=7', '4+2=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[2, 11], Operations: ['60-53=7', '4+7=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Moving to Node #0,4,3
Current State: 23:[53, 28], Operations: ['60-4=56', '56/2=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,23 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[15, 51], Operations: ['60/4=15', '53-2=51']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 15*51=765, Resulting Numbers: [765]
765,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[53, 17], Operations: ['60/4=15', '2+15=17']
Exploring Operation: 53+17=70, Resulting Numbers: [70]
70,23 unequal: No Solution
Exploring Operation: 53*17=901, Resulting Numbers: [901]
901,23 unequal: No Solution
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Moving to Node #0,0,4
Current State: 23:[2, 38], Operations: ['60/4=15', '53-15=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,23 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[53, 30], Operations: ['60/4=15', '2*15=30']
Exploring Operation: 53*30=1590, Resulting Numbers: [1590]
1590,23 unequal: No Solution
Exploring Operation: 53+30=83, Resulting Numbers: [83]
83,23 unequal: No Solution
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[4, 60, 53, 2], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [53, 2, 15]
Generated Node #0,0: 23:[53, 2, 15] Operation: 60/4=15
Moving to Node #0,0
Current State: 23:[53, 2, 15], Operations: ['60/4=15']
Exploring Operation: 2*15=30, Resulting Numbers: [53, 30]
Generated Node #0,0,0: 23:[53, 30] Operation: 2*15=30
Moving to Node #0,0,0
Current State: 23:[53, 30], Operations: ['60/4=15', '2*15=30']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.927083 | hs_5 | sum_heuristic |
[
69,
48,
73,
56
] | 12 | [
"69+48=117",
"73+56=129",
"129-117=12"
] | Current State: 12:[69, 48, 73, 56], Operations: []
Exploring Operation: 69+48=117, Resulting Numbers: [73, 56, 117]
Generated Node #2: [73, 56, 117] from Operation: 69+48=117
Current State: 12:[73, 56, 117], Operations: ['69+48=117']
Exploring Operation: 73+56=129, Resulting Numbers: [117, 129]
Generated Node #3: [117, 129] from Operation: 73+56=129
Current State: 12:[117, 129], Operations: ['69+48=117', '73+56=129']
Exploring Operation: 129-117=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[69, 48, 73, 56], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [48, 56, 4]
Generated Node #0,0: 12:[48, 56, 4] Operation: 73-69=4
Exploring Operation: 69-56=13, Resulting Numbers: [48, 73, 13]
Generated Node #0,1: 12:[48, 73, 13] Operation: 69-56=13
Moving to Node #0,0
Current State: 12:[48, 56, 4], Operations: ['73-69=4']
Exploring Operation: 56-48=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 12:[4, 8] Operation: 56-48=8
Exploring Operation: 56/4=14, Resulting Numbers: [48, 14]
Generated Node #0,0,1: 12:[48, 14] Operation: 56/4=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[4, 8], Operations: ['73-69=4', '56-48=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[69, 48, 73, 56], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [48, 56, 4]
Generated Node #0,0: 12:[48, 56, 4] Operation: 73-69=4
Moving to Node #0,0
Current State: 12:[48, 56, 4], Operations: ['73-69=4']
Exploring Operation: 56-48=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 12:[4, 8] Operation: 56-48=8
Moving to Node #0,0,0
Current State: 12:[4, 8], Operations: ['73-69=4', '56-48=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
61,
34,
63,
1
] | 16 | [
"63-61=2",
"34/2=17",
"17-1=16"
] | Current State: 16:[61, 34, 63, 1], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [34, 1, 2]
Generated Node #2: [34, 1, 2] from Operation: 63-61=2
Current State: 16:[34, 1, 2], Operations: ['63-61=2']
Exploring Operation: 34/2=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 34/2=17
Current State: 16:[1, 17], Operations: ['63-61=2', '34/2=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[61, 34, 63, 1], Operations: []
Exploring Operation: 63-34=29, Resulting Numbers: [61, 1, 29]
Generated Node #0,0: 16:[61, 1, 29] Operation: 63-34=29
Exploring Operation: 61-34=27, Resulting Numbers: [63, 1, 27]
Generated Node #0,1: 16:[63, 1, 27] Operation: 61-34=27
Exploring Operation: 61-1=60, Resulting Numbers: [34, 63, 60]
Generated Node #0,2: 16:[34, 63, 60] Operation: 61-1=60
Exploring Operation: 63-61=2, Resulting Numbers: [34, 1, 2]
Generated Node #0,3: 16:[34, 1, 2] Operation: 63-61=2
Moving to Node #0,3
Current State: 16:[34, 1, 2], Operations: ['63-61=2']
Exploring Operation: 34*1=34, Resulting Numbers: [2, 34]
Generated Node #0,3,0: 16:[2, 34] Operation: 34*1=34
Exploring Operation: 34-1=33, Resulting Numbers: [2, 33]
Generated Node #0,3,1: 16:[2, 33] Operation: 34-1=33
Exploring Operation: 34-2=32, Resulting Numbers: [1, 32]
Generated Node #0,3,2: 16:[1, 32] Operation: 34-2=32
Exploring Operation: 34/2=17, Resulting Numbers: [1, 17]
Generated Node #0,3,3: 16:[1, 17] Operation: 34/2=17
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 16:[1, 17], Operations: ['63-61=2', '34/2=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[61, 34, 63, 1], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [34, 1, 2]
Generated Node #0,3: 16:[34, 1, 2] Operation: 63-61=2
Moving to Node #0,3
Current State: 16:[34, 1, 2], Operations: ['63-61=2']
Exploring Operation: 34/2=17, Resulting Numbers: [1, 17]
Generated Node #0,3,3: 16:[1, 17] Operation: 34/2=17
Moving to Node #0,3,3
Current State: 16:[1, 17], Operations: ['63-61=2', '34/2=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
13,
12,
94,
90
] | 21 | [
"13+12=25",
"94-90=4",
"25-4=21"
] | Current State: 21:[13, 12, 94, 90], Operations: []
Exploring Operation: 13+12=25, Resulting Numbers: [94, 90, 25]
Generated Node #2: [94, 90, 25] from Operation: 13+12=25
Current State: 21:[94, 90, 25], Operations: ['13+12=25']
Exploring Operation: 94-90=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 94-90=4
Current State: 21:[25, 4], Operations: ['13+12=25', '94-90=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[13, 12, 94, 90], Operations: []
Exploring Operation: 94-13=81, Resulting Numbers: [12, 90, 81]
Generated Node #0,0: 21:[12, 90, 81] Operation: 94-13=81
Exploring Operation: 94-90=4, Resulting Numbers: [13, 12, 4]
Generated Node #0,1: 21:[13, 12, 4] Operation: 94-90=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[13, 12, 4], Operations: ['94-90=4']
Exploring Operation: 13-12=1, Resulting Numbers: [4, 1]
Generated Node #0,1,0: 21:[4, 1] Operation: 13-12=1
Exploring Operation: 13+12=25, Resulting Numbers: [4, 25]
Generated Node #0,1,1: 21:[4, 25] Operation: 13+12=25
Moving to Node #0,1,0
Current State: 21:[4, 1], Operations: ['94-90=4', '13-12=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[4, 25], Operations: ['94-90=4', '13+12=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[13, 12, 94, 90], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [13, 12, 4]
Generated Node #0,1: 21:[13, 12, 4] Operation: 94-90=4
Moving to Node #0,1
Current State: 21:[13, 12, 4], Operations: ['94-90=4']
Exploring Operation: 13+12=25, Resulting Numbers: [4, 25]
Generated Node #0,1,1: 21:[4, 25] Operation: 13+12=25
Moving to Node #0,1,1
Current State: 21:[4, 25], Operations: ['94-90=4', '13+12=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
84,
83,
81,
89
] | 94 | [
"83-81=2",
"89*2=178",
"178-84=94"
] | Current State: 94:[84, 83, 81, 89], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [84, 89, 2]
Generated Node #2: [84, 89, 2] from Operation: 83-81=2
Current State: 94:[84, 89, 2], Operations: ['83-81=2']
Exploring Operation: 89*2=178, Resulting Numbers: [84, 178]
Generated Node #3: [84, 178] from Operation: 89*2=178
Current State: 94:[84, 178], Operations: ['83-81=2', '89*2=178']
Exploring Operation: 178-84=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[84, 83, 81, 89], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [84, 81, 6]
Generated Node #0,0: 94:[84, 81, 6] Operation: 89-83=6
Exploring Operation: 84-81=3, Resulting Numbers: [83, 89, 3]
Generated Node #0,1: 94:[83, 89, 3] Operation: 84-81=3
Exploring Operation: 84-83=1, Resulting Numbers: [81, 89, 1]
Generated Node #0,2: 94:[81, 89, 1] Operation: 84-83=1
Exploring Operation: 89-84=5, Resulting Numbers: [83, 81, 5]
Generated Node #0,3: 94:[83, 81, 5] Operation: 89-84=5
Exploring Operation: 83-81=2, Resulting Numbers: [84, 89, 2]
Generated Node #0,4: 94:[84, 89, 2] Operation: 83-81=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 94:[84, 89, 2], Operations: ['83-81=2']
Exploring Operation: 84-2=82, Resulting Numbers: [89, 82]
Generated Node #0,4,0: 94:[89, 82] Operation: 84-2=82
Exploring Operation: 84/2=42, Resulting Numbers: [89, 42]
Generated Node #0,4,1: 94:[89, 42] Operation: 84/2=42
Exploring Operation: 89-84=5, Resulting Numbers: [2, 5]
Generated Node #0,4,2: 94:[2, 5] Operation: 89-84=5
Exploring Operation: 89+2=91, Resulting Numbers: [84, 91]
Generated Node #0,4,3: 94:[84, 91] Operation: 89+2=91
Exploring Operation: 84+2=86, Resulting Numbers: [89, 86]
Generated Node #0,4,4: 94:[89, 86] Operation: 84+2=86
Moving to Node #0,4,2
Current State: 94:[2, 5], Operations: ['83-81=2', '89-84=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Moving to Node #0,4,1
Current State: 94:[89, 42], Operations: ['83-81=2', '84/2=42']
Exploring Operation: 89+42=131, Resulting Numbers: [131]
131,94 unequal: No Solution
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 89*42=3738, Resulting Numbers: [3738]
3738,94 unequal: No Solution
Moving to Node #0,4,3
Current State: 94:[84, 91], Operations: ['83-81=2', '89+2=91']
Exploring Operation: 84+91=175, Resulting Numbers: [175]
175,94 unequal: No Solution
Exploring Operation: 84*91=7644, Resulting Numbers: [7644]
7644,94 unequal: No Solution
Exploring Operation: 91-84=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Moving to Node #0,4,4
Current State: 94:[89, 86], Operations: ['83-81=2', '84+2=86']
Exploring Operation: 89+86=175, Resulting Numbers: [175]
175,94 unequal: No Solution
Exploring Operation: 89-86=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 89*86=7654, Resulting Numbers: [7654]
7654,94 unequal: No Solution
Moving to Node #0,4,0
Current State: 94:[89, 82], Operations: ['83-81=2', '84-2=82']
Exploring Operation: 89-82=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 89*82=7298, Resulting Numbers: [7298]
7298,94 unequal: No Solution
Exploring Operation: 89+82=171, Resulting Numbers: [171]
171,94 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
Current State: 94:[83, 89, 3], Operations: ['84-81=3']
Exploring Operation: 83-3=80, Resulting Numbers: [89, 80]
Generated Node #0,1,0: 94:[89, 80] Operation: 83-3=80
Exploring Operation: 83+3=86, Resulting Numbers: [89, 86]
Generated Node #0,1,1: 94:[89, 86] Operation: 83+3=86
Exploring Operation: 89+3=92, Resulting Numbers: [83, 92]
Generated Node #0,1,2: 94:[83, 92] Operation: 89+3=92
Exploring Operation: 89-3=86, Resulting Numbers: [83, 86]
Generated Node #0,1,3: 94:[83, 86] Operation: 89-3=86
Exploring Operation: 89-83=6, Resulting Numbers: [3, 6]
Generated Node #0,1,4: 94:[3, 6] Operation: 89-83=6
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 94:[3, 6], Operations: ['84-81=3', '89-83=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[89, 86], Operations: ['84-81=3', '83+3=86']
Exploring Operation: 89*86=7654, Resulting Numbers: [7654]
7654,94 unequal: No Solution
Exploring Operation: 89-86=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 89+86=175, Resulting Numbers: [175]
175,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 94:[83, 92], Operations: ['84-81=3', '89+3=92']
Exploring Operation: 83*92=7636, Resulting Numbers: [7636]
7636,94 unequal: No Solution
Exploring Operation: 92-83=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 83+92=175, Resulting Numbers: [175]
175,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[89, 80], Operations: ['84-81=3', '83-3=80']
Exploring Operation: 89*80=7120, Resulting Numbers: [7120]
7120,94 unequal: No Solution
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 89+80=169, Resulting Numbers: [169]
169,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 94:[83, 86], Operations: ['84-81=3', '89-3=86']
Exploring Operation: 83+86=169, Resulting Numbers: [169]
169,94 unequal: No Solution
Exploring Operation: 86-83=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 83*86=7138, Resulting Numbers: [7138]
7138,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[81, 89, 1], Operations: ['84-83=1']
Exploring Operation: 89+1=90, Resulting Numbers: [81, 90]
Generated Node #0,2,0: 94:[81, 90] Operation: 89+1=90
Exploring Operation: 89-81=8, Resulting Numbers: [1, 8]
Generated Node #0,2,1: 94:[1, 8] Operation: 89-81=8
Exploring Operation: 81+1=82, Resulting Numbers: [89, 82]
Generated Node #0,2,2: 94:[89, 82] Operation: 81+1=82
Exploring Operation: 81*1=81, Resulting Numbers: [89, 81]
Generated Node #0,2,3: 94:[89, 81] Operation: 81*1=81
Exploring Operation: 81/1=81, Resulting Numbers: [89, 81]
Generated Node #0,2,4: 94:[89, 81] Operation: 81/1=81
Moving to Node #0,2,1
Current State: 94:[1, 8], Operations: ['84-83=1', '89-81=8']
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[89, 82], Operations: ['84-83=1', '81+1=82']
Exploring Operation: 89-82=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 89+82=171, Resulting Numbers: [171]
171,94 unequal: No Solution
Exploring Operation: 89*82=7298, Resulting Numbers: [7298]
7298,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[81, 90], Operations: ['84-83=1', '89+1=90']
Exploring Operation: 90-81=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 81+90=171, Resulting Numbers: [171]
171,94 unequal: No Solution
Exploring Operation: 81*90=7290, Resulting Numbers: [7290]
7290,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[89, 81], Operations: ['84-83=1', '81*1=81']
Exploring Operation: 89+81=170, Resulting Numbers: [170]
170,94 unequal: No Solution
Exploring Operation: 89*81=7209, Resulting Numbers: [7209]
7209,94 unequal: No Solution
Exploring Operation: 89-81=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Moving to Node #0,2,4
Current State: 94:[89, 81], Operations: ['84-83=1', '81/1=81']
Exploring Operation: 89+81=170, Resulting Numbers: [170]
170,94 unequal: No Solution
Exploring Operation: 89-81=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 89*81=7209, Resulting Numbers: [7209]
7209,94 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
Current State: 94:[84, 81, 6], Operations: ['89-83=6']
Exploring Operation: 81+6=87, Resulting Numbers: [84, 87]
Generated Node #0,0,0: 94:[84, 87] Operation: 81+6=87
Exploring Operation: 84-6=78, Resulting Numbers: [81, 78]
Generated Node #0,0,1: 94:[81, 78] Operation: 84-6=78
Exploring Operation: 84+6=90, Resulting Numbers: [81, 90]
Generated Node #0,0,2: 94:[81, 90] Operation: 84+6=90
Exploring Operation: 84/6=14, Resulting Numbers: [81, 14]
Generated Node #0,0,3: 94:[81, 14] Operation: 84/6=14
Exploring Operation: 84-81=3, Resulting Numbers: [6, 3]
Generated Node #0,0,4: 94:[6, 3] Operation: 84-81=3
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 94:[6, 3], Operations: ['89-83=6', '84-81=3']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[84, 87], Operations: ['89-83=6', '81+6=87']
Exploring Operation: 84*87=7308, Resulting Numbers: [7308]
7308,94 unequal: No Solution
Exploring Operation: 84+87=171, Resulting Numbers: [171]
171,94 unequal: No Solution
Exploring Operation: 87-84=3, Resulting Numbers: [3]
3,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[81, 90], Operations: ['89-83=6', '84+6=90']
Exploring Operation: 81*90=7290, Resulting Numbers: [7290]
7290,94 unequal: No Solution
Exploring Operation: 90-81=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 81+90=171, Resulting Numbers: [171]
171,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 94:[81, 14], Operations: ['89-83=6', '84/6=14']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[81, 78], Operations: ['89-83=6', '84-6=78']
Exploring Operation: 81+78=159, Resulting Numbers: [159]
159,94 unequal: No Solution
Exploring Operation: 81-78=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 81*78=6318, Resulting Numbers: [6318]
6318,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[83, 81, 5], Operations: ['89-84=5']
Exploring Operation: 83-5=78, Resulting Numbers: [81, 78]
Generated Node #0,3,0: 94:[81, 78] Operation: 83-5=78
Exploring Operation: 81+5=86, Resulting Numbers: [83, 86]
Generated Node #0,3,1: 94:[83, 86] Operation: 81+5=86
Exploring Operation: 83+5=88, Resulting Numbers: [81, 88]
Generated Node #0,3,2: 94:[81, 88] Operation: 83+5=88
Exploring Operation: 81-5=76, Resulting Numbers: [83, 76]
Generated Node #0,3,3: 94:[83, 76] Operation: 81-5=76
Exploring Operation: 83-81=2, Resulting Numbers: [5, 2]
Generated Node #0,3,4: 94:[5, 2] Operation: 83-81=2
Moving to Node #0,3,4
Current State: 94:[5, 2], Operations: ['89-84=5', '83-81=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[81, 88], Operations: ['89-84=5', '83+5=88']
Exploring Operation: 81*88=7128, Resulting Numbers: [7128]
7128,94 unequal: No Solution
Exploring Operation: 81+88=169, Resulting Numbers: [169]
169,94 unequal: No Solution
Exploring Operation: 88-81=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Moving to Node #0,3,1
Current State: 94:[83, 86], Operations: ['89-84=5', '81+5=86']
Exploring Operation: 86-83=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 83+86=169, Resulting Numbers: [169]
169,94 unequal: No Solution
Exploring Operation: 83*86=7138, Resulting Numbers: [7138]
7138,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[81, 78], Operations: ['89-84=5', '83-5=78']
Exploring Operation: 81-78=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 81+78=159, Resulting Numbers: [159]
159,94 unequal: No Solution
Exploring Operation: 81*78=6318, Resulting Numbers: [6318]
6318,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[83, 76], Operations: ['89-84=5', '81-5=76']
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 83*76=6308, Resulting Numbers: [6308]
6308,94 unequal: No Solution
Exploring Operation: 83+76=159, Resulting Numbers: [159]
159,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
87,
18,
32,
8
] | 89 | [
"87-32=55",
"18*8=144",
"144-55=89"
] | Current State: 89:[87, 18, 32, 8], Operations: []
Exploring Operation: 87-32=55, Resulting Numbers: [18, 8, 55]
Generated Node #2: [18, 8, 55] from Operation: 87-32=55
Current State: 89:[18, 8, 55], Operations: ['87-32=55']
Exploring Operation: 18*8=144, Resulting Numbers: [55, 144]
Generated Node #3: [55, 144] from Operation: 18*8=144
Current State: 89:[55, 144], Operations: ['87-32=55', '18*8=144']
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[87, 18, 32, 8], Operations: []
Exploring Operation: 18*8=144, Resulting Numbers: [87, 32, 144]
Generated Node #0,0: 89:[87, 32, 144] Operation: 18*8=144
Exploring Operation: 18+32=50, Resulting Numbers: [87, 8, 50]
Generated Node #0,1: 89:[87, 8, 50] Operation: 18+32=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[87, 32, 144], Operations: ['18*8=144']
Exploring Operation: 87+32=119, Resulting Numbers: [144, 119]
Generated Node #0,0,0: 89:[144, 119] Operation: 87+32=119
Exploring Operation: 144-32=112, Resulting Numbers: [87, 112]
Generated Node #0,0,1: 89:[87, 112] Operation: 144-32=112
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[87, 112], Operations: ['18*8=144', '144-32=112']
Exploring Operation: 112-87=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Exploring Operation: 87+112=199, Resulting Numbers: [199]
199,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[144, 119], Operations: ['18*8=144', '87+32=119']
Exploring Operation: 144+119=263, Resulting Numbers: [263]
263,89 unequal: No Solution
Exploring Operation: 144-119=25, Resulting Numbers: [25]
25,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[87, 8, 50], Operations: ['18+32=50']
Exploring Operation: 87+8=95, Resulting Numbers: [50, 95]
Generated Node #0,1,0: 89:[50, 95] Operation: 87+8=95
Exploring Operation: 8+50=58, Resulting Numbers: [87, 58]
Generated Node #0,1,1: 89:[87, 58] Operation: 8+50=58
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[87, 58], Operations: ['18+32=50', '8+50=58']
Exploring Operation: 87+58=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 87-58=29, Resulting Numbers: [29]
29,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[50, 95], Operations: ['18+32=50', '87+8=95']
Exploring Operation: 95-50=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 50+95=145, Resulting Numbers: [145]
145,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
50,
45,
89,
70
] | 14 | [
"50-45=5",
"89-70=19",
"19-5=14"
] | Current State: 14:[50, 45, 89, 70], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [89, 70, 5]
Generated Node #2: [89, 70, 5] from Operation: 50-45=5
Current State: 14:[89, 70, 5], Operations: ['50-45=5']
Exploring Operation: 89-70=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 89-70=19
Current State: 14:[5, 19], Operations: ['50-45=5', '89-70=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[50, 45, 89, 70], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [50, 45, 19]
Generated Node #0,0: 14:[50, 45, 19] Operation: 89-70=19
Exploring Operation: 70-50=20, Resulting Numbers: [45, 89, 20]
Generated Node #0,1: 14:[45, 89, 20] Operation: 70-50=20
Exploring Operation: 89-45=44, Resulting Numbers: [50, 70, 44]
Generated Node #0,2: 14:[50, 70, 44] Operation: 89-45=44
Exploring Operation: 89-50=39, Resulting Numbers: [45, 70, 39]
Generated Node #0,3: 14:[45, 70, 39] Operation: 89-50=39
Moving to Node #0,0
Current State: 14:[50, 45, 19], Operations: ['89-70=19']
Exploring Operation: 50-45=5, Resulting Numbers: [19, 5]
Generated Node #0,0,0: 14:[19, 5] Operation: 50-45=5
Exploring Operation: 50+45=95, Resulting Numbers: [19, 95]
Generated Node #0,0,1: 14:[19, 95] Operation: 50+45=95
Exploring Operation: 45-19=26, Resulting Numbers: [50, 26]
Generated Node #0,0,2: 14:[50, 26] Operation: 45-19=26
Exploring Operation: 50-19=31, Resulting Numbers: [45, 31]
Generated Node #0,0,3: 14:[45, 31] Operation: 50-19=31
Moving to Node #0,3
Current State: 14:[45, 70, 39], Operations: ['89-50=39']
Exploring Operation: 45-39=6, Resulting Numbers: [70, 6]
Generated Node #0,3,0: 14:[70, 6] Operation: 45-39=6
Exploring Operation: 70-39=31, Resulting Numbers: [45, 31]
Generated Node #0,3,1: 14:[45, 31] Operation: 70-39=31
Exploring Operation: 70-45=25, Resulting Numbers: [39, 25]
Generated Node #0,3,2: 14:[39, 25] Operation: 70-45=25
Exploring Operation: 45+70=115, Resulting Numbers: [39, 115]
Generated Node #0,3,3: 14:[39, 115] Operation: 45+70=115
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 14:[39, 25], Operations: ['89-50=39', '70-45=25']
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,14 unequal: No Solution
Exploring Operation: 39*25=975, Resulting Numbers: [975]
975,14 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[50, 45, 89, 70], Operations: []
Exploring Operation: 89-50=39, Resulting Numbers: [45, 70, 39]
Generated Node #0,3: 14:[45, 70, 39] Operation: 89-50=39
Moving to Node #0,3
Current State: 14:[45, 70, 39], Operations: ['89-50=39']
Exploring Operation: 70-45=25, Resulting Numbers: [39, 25]
Generated Node #0,3,2: 14:[39, 25] Operation: 70-45=25
Moving to Node #0,3,2
Current State: 14:[39, 25], Operations: ['89-50=39', '70-45=25']
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
72,
26,
52,
2
] | 85 | [
"52-26=26",
"26/2=13",
"72+13=85"
] | Current State: 85:[72, 26, 52, 2], Operations: []
Exploring Operation: 52-26=26, Resulting Numbers: [72, 2, 26]
Generated Node #2: [72, 2, 26] from Operation: 52-26=26
Current State: 85:[72, 2, 26], Operations: ['52-26=26']
Exploring Operation: 26/2=13, Resulting Numbers: [72, 13]
Generated Node #3: [72, 13] from Operation: 26/2=13
Current State: 85:[72, 13], Operations: ['52-26=26', '26/2=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[72, 26, 52, 2], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [72, 2, 2]
Generated Node #0,0: 85:[72, 2, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [72, 2, 26]
Generated Node #0,1: 85:[72, 2, 26] Operation: 52-26=26
Exploring Operation: 26+52=78, Resulting Numbers: [72, 2, 78]
Generated Node #0,2: 85:[72, 2, 78] Operation: 26+52=78
Exploring Operation: 72-52=20, Resulting Numbers: [26, 2, 20]
Generated Node #0,3: 85:[26, 2, 20] Operation: 72-52=20
Moving to Node #0,3
Current State: 85:[26, 2, 20], Operations: ['72-52=20']
Exploring Operation: 26-2=24, Resulting Numbers: [20, 24]
Generated Node #0,3,0: 85:[20, 24] Operation: 26-2=24
Exploring Operation: 26-20=6, Resulting Numbers: [2, 6]
Generated Node #0,3,1: 85:[2, 6] Operation: 26-20=6
Exploring Operation: 26/2=13, Resulting Numbers: [20, 13]
Generated Node #0,3,2: 85:[20, 13] Operation: 26/2=13
Exploring Operation: 20-2=18, Resulting Numbers: [26, 18]
Generated Node #0,3,3: 85:[26, 18] Operation: 20-2=18
Moving to Node #0,0
Current State: 85:[72, 2, 2], Operations: ['52/26=2']
Exploring Operation: 2*2=4, Resulting Numbers: [72, 4]
Generated Node #0,0,0: 85:[72, 4] Operation: 2*2=4
Exploring Operation: 2+2=4, Resulting Numbers: [72, 4]
Generated Node #0,0,1: 85:[72, 4] Operation: 2+2=4
Exploring Operation: 72+2=74, Resulting Numbers: [2, 74]
Generated Node #0,0,2: 85:[2, 74] Operation: 72+2=74
Exploring Operation: 72+2=74, Resulting Numbers: [2, 74]
Generated Node #0,0,3: 85:[2, 74] Operation: 72+2=74
Moving to Node #0,2
Current State: 85:[72, 2, 78], Operations: ['26+52=78']
Exploring Operation: 2+78=80, Resulting Numbers: [72, 80]
Generated Node #0,2,0: 85:[72, 80] Operation: 2+78=80
Exploring Operation: 78-72=6, Resulting Numbers: [2, 6]
Generated Node #0,2,1: 85:[2, 6] Operation: 78-72=6
Exploring Operation: 72-2=70, Resulting Numbers: [78, 70]
Generated Node #0,2,2: 85:[78, 70] Operation: 72-2=70
Exploring Operation: 72+2=74, Resulting Numbers: [78, 74]
Generated Node #0,2,3: 85:[78, 74] Operation: 72+2=74
Moving to Node #0,1
Current State: 85:[72, 2, 26], Operations: ['52-26=26']
Exploring Operation: 26/2=13, Resulting Numbers: [72, 13]
Generated Node #0,1,0: 85:[72, 13] Operation: 26/2=13
Exploring Operation: 26-2=24, Resulting Numbers: [72, 24]
Generated Node #0,1,1: 85:[72, 24] Operation: 26-2=24
Exploring Operation: 72+26=98, Resulting Numbers: [2, 98]
Generated Node #0,1,2: 85:[2, 98] Operation: 72+26=98
Exploring Operation: 72+2=74, Resulting Numbers: [26, 74]
Generated Node #0,1,3: 85:[26, 74] Operation: 72+2=74
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 85:[2, 98], Operations: ['52-26=26', '72+26=98']
Exploring Operation: 2*98=196, Resulting Numbers: [196]
196,85 unequal: No Solution
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,85 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,85 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,85 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 #0,1,0
Current State: 85:[72, 13], Operations: ['52-26=26', '26/2=13']
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,85 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[72, 26, 52, 2], Operations: []
Exploring Operation: 52-26=26, Resulting Numbers: [72, 2, 26]
Generated Node #0,1: 85:[72, 2, 26] Operation: 52-26=26
Moving to Node #0,1
Current State: 85:[72, 2, 26], Operations: ['52-26=26']
Exploring Operation: 26/2=13, Resulting Numbers: [72, 13]
Generated Node #0,1,0: 85:[72, 13] Operation: 26/2=13
Moving to Node #0,1,0
Current State: 85:[72, 13], Operations: ['52-26=26', '26/2=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
35,
51,
5,
83
] | 39 | [
"35/5=7",
"83-51=32",
"7+32=39"
] | Current State: 39:[35, 51, 5, 83], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [51, 83, 7]
Generated Node #2: [51, 83, 7] from Operation: 35/5=7
Current State: 39:[51, 83, 7], Operations: ['35/5=7']
Exploring Operation: 83-51=32, Resulting Numbers: [7, 32]
Generated Node #3: [7, 32] from Operation: 83-51=32
Current State: 39:[7, 32], Operations: ['35/5=7', '83-51=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[35, 51, 5, 83], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [51, 5, 48]
Generated Node #0,0: 39:[51, 5, 48] Operation: 83-35=48
Exploring Operation: 51-35=16, Resulting Numbers: [5, 83, 16]
Generated Node #0,1: 39:[5, 83, 16] Operation: 51-35=16
Exploring Operation: 83-51=32, Resulting Numbers: [35, 5, 32]
Generated Node #0,2: 39:[35, 5, 32] Operation: 83-51=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[35, 5, 32], Operations: ['83-51=32']
Exploring Operation: 35+5=40, Resulting Numbers: [32, 40]
Generated Node #0,2,0: 39:[32, 40] Operation: 35+5=40
Exploring Operation: 5+32=37, Resulting Numbers: [35, 37]
Generated Node #0,2,1: 39:[35, 37] Operation: 5+32=37
Exploring Operation: 35-32=3, Resulting Numbers: [5, 3]
Generated Node #0,2,2: 39:[5, 3] Operation: 35-32=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 39:[5, 3], Operations: ['83-51=32', '35-32=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 39:[35, 37], Operations: ['83-51=32', '5+32=37']
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,39 unequal: No Solution
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,39 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 39:[32, 40], Operations: ['83-51=32', '35+5=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,39 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[51, 5, 48], Operations: ['83-35=48']
Exploring Operation: 51-48=3, Resulting Numbers: [5, 3]
Generated Node #0,0,0: 39:[5, 3] Operation: 51-48=3
Exploring Operation: 51-5=46, Resulting Numbers: [48, 46]
Generated Node #0,0,1: 39:[48, 46] Operation: 51-5=46
Exploring Operation: 48-5=43, Resulting Numbers: [51, 43]
Generated Node #0,0,2: 39:[51, 43] Operation: 48-5=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[5, 3], Operations: ['83-35=48', '51-48=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[48, 46], Operations: ['83-35=48', '51-5=46']
Exploring Operation: 48-46=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 48+46=94, Resulting Numbers: [94]
94,39 unequal: No Solution
Exploring Operation: 48*46=2208, Resulting Numbers: [2208]
2208,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[51, 43], Operations: ['83-35=48', '48-5=43']
Exploring Operation: 51+43=94, Resulting Numbers: [94]
94,39 unequal: No Solution
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 51*43=2193, Resulting Numbers: [2193]
2193,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[5, 83, 16], Operations: ['51-35=16']
Exploring Operation: 83-5=78, Resulting Numbers: [16, 78]
Generated Node #0,1,0: 39:[16, 78] Operation: 83-5=78
Exploring Operation: 16-5=11, Resulting Numbers: [83, 11]
Generated Node #0,1,1: 39:[83, 11] Operation: 16-5=11
Exploring Operation: 83-16=67, Resulting Numbers: [5, 67]
Generated Node #0,1,2: 39:[5, 67] Operation: 83-16=67
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 39:[5, 67], Operations: ['51-35=16', '83-16=67']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 5*67=335, Resulting Numbers: [335]
335,39 unequal: No Solution
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[16, 78], Operations: ['51-35=16', '83-5=78']
Exploring Operation: 16+78=94, Resulting Numbers: [94]
94,39 unequal: No Solution
Exploring Operation: 16*78=1248, Resulting Numbers: [1248]
1248,39 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[83, 11], Operations: ['51-35=16', '16-5=11']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,39 unequal: No Solution
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,39 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
45,
18,
99,
6
] | 27 | [
"45+18=63",
"99+63=162",
"162/6=27"
] | Current State: 27:[45, 18, 99, 6], Operations: []
Exploring Operation: 45+18=63, Resulting Numbers: [99, 6, 63]
Generated Node #2: [99, 6, 63] from Operation: 45+18=63
Current State: 27:[99, 6, 63], Operations: ['45+18=63']
Exploring Operation: 99+63=162, Resulting Numbers: [6, 162]
Generated Node #3: [6, 162] from Operation: 99+63=162
Current State: 27:[6, 162], Operations: ['45+18=63', '99+63=162']
Exploring Operation: 162/6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[45, 18, 99, 6], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [18, 6, 54]
Generated Node #0,0: 27:[18, 6, 54] Operation: 99-45=54
Exploring Operation: 99-18=81, Resulting Numbers: [45, 6, 81]
Generated Node #0,1: 27:[45, 6, 81] Operation: 99-18=81
Exploring Operation: 45-18=27, Resulting Numbers: [99, 6, 27]
Generated Node #0,2: 27:[99, 6, 27] Operation: 45-18=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[18, 6, 54], Operations: ['99-45=54']
Exploring Operation: 54-18=36, Resulting Numbers: [6, 36]
Generated Node #0,0,0: 27:[6, 36] Operation: 54-18=36
Exploring Operation: 54/18=3, Resulting Numbers: [6, 3]
Generated Node #0,0,1: 27:[6, 3] Operation: 54/18=3
Exploring Operation: 54/6=9, Resulting Numbers: [18, 9]
Generated Node #0,0,2: 27:[18, 9] Operation: 54/6=9
Moving to Node #0,0,1
Current State: 27:[6, 3], Operations: ['99-45=54', '54/18=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[18, 9], Operations: ['99-45=54', '54/6=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[45, 18, 99, 6], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [18, 6, 54]
Generated Node #0,0: 27:[18, 6, 54] Operation: 99-45=54
Moving to Node #0,0
Current State: 27:[18, 6, 54], Operations: ['99-45=54']
Exploring Operation: 54/6=9, Resulting Numbers: [18, 9]
Generated Node #0,0,2: 27:[18, 9] Operation: 54/6=9
Moving to Node #0,0,2
Current State: 27:[18, 9], Operations: ['99-45=54', '54/6=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
65,
54,
61,
59
] | 89 | [
"65*54=3510",
"61*59=3599",
"3599-3510=89"
] | Current State: 89:[65, 54, 61, 59], Operations: []
Exploring Operation: 65*54=3510, Resulting Numbers: [61, 59, 3510]
Generated Node #2: [61, 59, 3510] from Operation: 65*54=3510
Current State: 89:[61, 59, 3510], Operations: ['65*54=3510']
Exploring Operation: 61*59=3599, Resulting Numbers: [3510, 3599]
Generated Node #3: [3510, 3599] from Operation: 61*59=3599
Current State: 89:[3510, 3599], Operations: ['65*54=3510', '61*59=3599']
Exploring Operation: 3599-3510=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[65, 54, 61, 59], Operations: []
Exploring Operation: 54+59=113, Resulting Numbers: [65, 61, 113]
Generated Node #0,0: 89:[65, 61, 113] Operation: 54+59=113
Exploring Operation: 61+59=120, Resulting Numbers: [65, 54, 120]
Generated Node #0,1: 89:[65, 54, 120] Operation: 61+59=120
Exploring Operation: 65+54=119, Resulting Numbers: [61, 59, 119]
Generated Node #0,2: 89:[61, 59, 119] Operation: 65+54=119
Exploring Operation: 54+61=115, Resulting Numbers: [65, 59, 115]
Generated Node #0,3: 89:[65, 59, 115] Operation: 54+61=115
Moving to Node #0,0
Current State: 89:[65, 61, 113], Operations: ['54+59=113']
Exploring Operation: 65+61=126, Resulting Numbers: [113, 126]
Generated Node #0,0,0: 89:[113, 126] Operation: 65+61=126
Exploring Operation: 65-61=4, Resulting Numbers: [113, 4]
Generated Node #0,0,1: 89:[113, 4] Operation: 65-61=4
Exploring Operation: 113-65=48, Resulting Numbers: [61, 48]
Generated Node #0,0,2: 89:[61, 48] Operation: 113-65=48
Exploring Operation: 113-61=52, Resulting Numbers: [65, 52]
Generated Node #0,0,3: 89:[65, 52] Operation: 113-61=52
Moving to Node #0,3
Current State: 89:[65, 59, 115], Operations: ['54+61=115']
Exploring Operation: 65-59=6, Resulting Numbers: [115, 6]
Generated Node #0,3,0: 89:[115, 6] Operation: 65-59=6
Exploring Operation: 65+59=124, Resulting Numbers: [115, 124]
Generated Node #0,3,1: 89:[115, 124] Operation: 65+59=124
Exploring Operation: 115-65=50, Resulting Numbers: [59, 50]
Generated Node #0,3,2: 89:[59, 50] Operation: 115-65=50
Exploring Operation: 115-59=56, Resulting Numbers: [65, 56]
Generated Node #0,3,3: 89:[65, 56] Operation: 115-59=56
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 89:[65, 56], Operations: ['54+61=115', '115-59=56']
Exploring Operation: 65-56=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 65+56=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 65*56=3640, Resulting Numbers: [3640]
3640,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[115, 124], Operations: ['54+61=115', '65+59=124']
Exploring Operation: 124-115=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 115+124=239, Resulting Numbers: [239]
239,89 unequal: No Solution
Exploring Operation: 115*124=14260, Resulting Numbers: [14260]
14260,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[59, 50], Operations: ['54+61=115', '115-65=50']
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,89 unequal: No Solution
Exploring Operation: 59*50=2950, Resulting Numbers: [2950]
2950,89 unequal: No Solution
Exploring Operation: 59+50=109, Resulting Numbers: [109]
109,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 89:[115, 6], Operations: ['54+61=115', '65-59=6']
Exploring Operation: 115*6=690, Resulting Numbers: [690]
690,89 unequal: No Solution
Exploring Operation: 115+6=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 115-6=109, Resulting Numbers: [109]
109,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 89:[61, 59, 119], Operations: ['65+54=119']
Exploring Operation: 119-59=60, Resulting Numbers: [61, 60]
Generated Node #0,2,0: 89:[61, 60] Operation: 119-59=60
Exploring Operation: 61+59=120, Resulting Numbers: [119, 120]
Generated Node #0,2,1: 89:[119, 120] Operation: 61+59=120
Exploring Operation: 61-59=2, Resulting Numbers: [119, 2]
Generated Node #0,2,2: 89:[119, 2] Operation: 61-59=2
Exploring Operation: 119-61=58, Resulting Numbers: [59, 58]
Generated Node #0,2,3: 89:[59, 58] Operation: 119-61=58
Moving to Node #0,1
Current State: 89:[65, 54, 120], Operations: ['61+59=120']
Exploring Operation: 120-65=55, Resulting Numbers: [54, 55]
Generated Node #0,1,0: 89:[54, 55] Operation: 120-65=55
Exploring Operation: 120-54=66, Resulting Numbers: [65, 66]
Generated Node #0,1,1: 89:[65, 66] Operation: 120-54=66
Exploring Operation: 65+54=119, Resulting Numbers: [120, 119]
Generated Node #0,1,2: 89:[120, 119] Operation: 65+54=119
Exploring Operation: 65-54=11, Resulting Numbers: [120, 11]
Generated Node #0,1,3: 89:[120, 11] Operation: 65-54=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[65, 66], Operations: ['61+59=120', '120-54=66']
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 65*66=4290, Resulting Numbers: [4290]
4290,89 unequal: No Solution
Exploring Operation: 65+66=131, Resulting Numbers: [131]
131,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[120, 119], Operations: ['61+59=120', '65+54=119']
Exploring Operation: 120+119=239, Resulting Numbers: [239]
239,89 unequal: No Solution
Exploring Operation: 120*119=14280, Resulting Numbers: [14280]
14280,89 unequal: No Solution
Exploring Operation: 120-119=1, Resulting Numbers: [1]
1,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[54, 55], Operations: ['61+59=120', '120-65=55']
Exploring Operation: 54+55=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 54*55=2970, Resulting Numbers: [2970]
2970,89 unequal: No Solution
Exploring Operation: 55-54=1, Resulting Numbers: [1]
1,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 89:[120, 11], Operations: ['61+59=120', '65-54=11']
Exploring Operation: 120*11=1320, Resulting Numbers: [1320]
1320,89 unequal: No Solution
Exploring Operation: 120+11=131, Resulting Numbers: [131]
131,89 unequal: No Solution
Exploring Operation: 120-11=109, Resulting Numbers: [109]
109,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 89:[61, 60], Operations: ['65+54=119', '119-59=60']
Exploring Operation: 61+60=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 61*60=3660, Resulting Numbers: [3660]
3660,89 unequal: No Solution
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[119, 120], Operations: ['65+54=119', '61+59=120']
Exploring Operation: 120-119=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 119*120=14280, Resulting Numbers: [14280]
14280,89 unequal: No Solution
Exploring Operation: 119+120=239, Resulting Numbers: [239]
239,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[59, 58], Operations: ['65+54=119', '119-61=58']
Exploring Operation: 59+58=117, Resulting Numbers: [117]
117,89 unequal: No Solution
Exploring Operation: 59*58=3422, Resulting Numbers: [3422]
3422,89 unequal: No Solution
Exploring Operation: 59-58=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[113, 126], Operations: ['54+59=113', '65+61=126']
Exploring Operation: 126-113=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 113*126=14238, Resulting Numbers: [14238]
14238,89 unequal: No Solution
Exploring Operation: 113+126=239, Resulting Numbers: [239]
239,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[65, 52], Operations: ['54+59=113', '113-61=52']
Exploring Operation: 65*52=3380, Resulting Numbers: [3380]
3380,89 unequal: No Solution
Exploring Operation: 65+52=117, Resulting Numbers: [117]
117,89 unequal: No Solution
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[61, 48], Operations: ['54+59=113', '113-65=48']
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,89 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[113, 4], Operations: ['54+59=113', '65-61=4']
Exploring Operation: 113-4=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 113+4=117, Resulting Numbers: [117]
117,89 unequal: No Solution
Exploring Operation: 113*4=452, Resulting Numbers: [452]
452,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[119, 2], Operations: ['65+54=119', '61-59=2']
Exploring Operation: 119-2=117, Resulting Numbers: [117]
117,89 unequal: No Solution
Exploring Operation: 119+2=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 119*2=238, Resulting Numbers: [238]
238,89 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
26,
1,
26,
38
] | 89 | [
"26-1=25",
"26+38=64",
"25+64=89"
] | Current State: 89:[26, 1, 26, 38], Operations: []
Exploring Operation: 26-1=25, Resulting Numbers: [38, 25]
Generated Node #2: [38, 25] from Operation: 26-1=25
Current State: 89:[38, 25], Operations: ['26-1=25']
Exploring Operation: 26+38=64, Resulting Numbers: [25, 64]
Generated Node #3: [25, 64] from Operation: 26+38=64
Current State: 89:[25, 64], Operations: ['26-1=25', '26+38=64']
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[26, 1, 26, 38], Operations: []
Exploring Operation: 26+26=52, Resulting Numbers: [1, 38, 52]
Generated Node #0,0: 89:[1, 38, 52] Operation: 26+26=52
Exploring Operation: 26+1=27, Resulting Numbers: [26, 38, 27]
Generated Node #0,1: 89:[26, 38, 27] Operation: 26+1=27
Moving to Node #0,0
Current State: 89:[1, 38, 52], Operations: ['26+26=52']
Exploring Operation: 1+38=39, Resulting Numbers: [52, 39]
Generated Node #0,0,0: 89:[52, 39] Operation: 1+38=39
Exploring Operation: 1+52=53, Resulting Numbers: [38, 53]
Generated Node #0,0,1: 89:[38, 53] Operation: 1+52=53
Moving to Node #0,1
Current State: 89:[26, 38, 27], Operations: ['26+1=27']
Exploring Operation: 26+27=53, Resulting Numbers: [38, 53]
Generated Node #0,1,0: 89:[38, 53] Operation: 26+27=53
Exploring Operation: 26+38=64, Resulting Numbers: [27, 64]
Generated Node #0,1,1: 89:[27, 64] Operation: 26+38=64
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[38, 53], Operations: ['26+1=27', '26+27=53']
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[27, 64], Operations: ['26+1=27', '26+38=64']
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,89 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: 89:[52, 39], Operations: ['26+26=52', '1+38=39']
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 52+39=91, Resulting Numbers: [91]
91,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[38, 53], Operations: ['26+26=52', '1+52=53']
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,89 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,89 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
18,
89,
92,
37
] | 17 | [
"92-89=3",
"18*3=54",
"54-37=17"
] | Current State: 17:[18, 89, 92, 37], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [18, 37, 3]
Generated Node #2: [18, 37, 3] from Operation: 92-89=3
Current State: 17:[18, 37, 3], Operations: ['92-89=3']
Exploring Operation: 18*3=54, Resulting Numbers: [37, 54]
Generated Node #3: [37, 54] from Operation: 18*3=54
Current State: 17:[37, 54], Operations: ['92-89=3', '18*3=54']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[18, 89, 92, 37], Operations: []
Exploring Operation: 89-37=52, Resulting Numbers: [18, 92, 52]
Generated Node #0,0: 17:[18, 92, 52] Operation: 89-37=52
Exploring Operation: 92-89=3, Resulting Numbers: [18, 37, 3]
Generated Node #0,1: 17:[18, 37, 3] Operation: 92-89=3
Moving to Node #0,1
Current State: 17:[18, 37, 3], Operations: ['92-89=3']
Exploring Operation: 37-18=19, Resulting Numbers: [3, 19]
Generated Node #0,1,0: 17:[3, 19] Operation: 37-18=19
Exploring Operation: 37-3=34, Resulting Numbers: [18, 34]
Generated Node #0,1,1: 17:[18, 34] Operation: 37-3=34
Moving to Node #0,0
Current State: 17:[18, 92, 52], Operations: ['89-37=52']
Exploring Operation: 92-18=74, Resulting Numbers: [52, 74]
Generated Node #0,0,0: 17:[52, 74] Operation: 92-18=74
Exploring Operation: 92-52=40, Resulting Numbers: [18, 40]
Generated Node #0,0,1: 17:[18, 40] Operation: 92-52=40
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 17:[18, 40], Operations: ['89-37=52', '92-52=40']
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[52, 74], Operations: ['89-37=52', '92-18=74']
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 52+74=126, Resulting Numbers: [126]
126,17 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: 17:[3, 19], Operations: ['92-89=3', '37-18=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[18, 34], Operations: ['92-89=3', '37-3=34']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,17 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
28,
12,
24,
80
] | 50 | [
"80-28=52",
"24/12=2",
"52-2=50"
] | Current State: 50:[28, 12, 24, 80], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [12, 24, 52]
Generated Node #2: [12, 24, 52] from Operation: 80-28=52
Current State: 50:[12, 24, 52], Operations: ['80-28=52']
Exploring Operation: 24/12=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 24/12=2
Current State: 50:[52, 2], Operations: ['80-28=52', '24/12=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[28, 12, 24, 80], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [28, 12, 56]
Generated Node #0,0: 50:[28, 12, 56] Operation: 80-24=56
Exploring Operation: 80-28=52, Resulting Numbers: [12, 24, 52]
Generated Node #0,1: 50:[12, 24, 52] Operation: 80-28=52
Moving to Node #0,1
Current State: 50:[12, 24, 52], Operations: ['80-28=52']
Exploring Operation: 24-12=12, Resulting Numbers: [52, 12]
Generated Node #0,1,0: 50:[52, 12] Operation: 24-12=12
Exploring Operation: 24/12=2, Resulting Numbers: [52, 2]
Generated Node #0,1,1: 50:[52, 2] Operation: 24/12=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[52, 2], Operations: ['80-28=52', '24/12=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[28, 12, 24, 80], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [12, 24, 52]
Generated Node #0,1: 50:[12, 24, 52] Operation: 80-28=52
Moving to Node #0,1
Current State: 50:[12, 24, 52], Operations: ['80-28=52']
Exploring Operation: 24/12=2, Resulting Numbers: [52, 2]
Generated Node #0,1,1: 50:[52, 2] Operation: 24/12=2
Moving to Node #0,1,1
Current State: 50:[52, 2], Operations: ['80-28=52', '24/12=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
19,
35,
70,
81
] | 97 | [
"19+35=54",
"70+81=151",
"151-54=97"
] | Current State: 97:[19, 35, 70, 81], Operations: []
Exploring Operation: 19+35=54, Resulting Numbers: [70, 81, 54]
Generated Node #2: [70, 81, 54] from Operation: 19+35=54
Current State: 97:[70, 81, 54], Operations: ['19+35=54']
Exploring Operation: 70+81=151, Resulting Numbers: [54, 151]
Generated Node #3: [54, 151] from Operation: 70+81=151
Current State: 97:[54, 151], Operations: ['19+35=54', '70+81=151']
Exploring Operation: 151-54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[19, 35, 70, 81], Operations: []
Exploring Operation: 19+70=89, Resulting Numbers: [35, 81, 89]
Generated Node #0,0: 97:[35, 81, 89] Operation: 19+70=89
Exploring Operation: 19+35=54, Resulting Numbers: [70, 81, 54]
Generated Node #0,1: 97:[70, 81, 54] Operation: 19+35=54
Moving to Node #0,0
Current State: 97:[35, 81, 89], Operations: ['19+70=89']
Exploring Operation: 35+89=124, Resulting Numbers: [81, 124]
Generated Node #0,0,0: 97:[81, 124] Operation: 35+89=124
Exploring Operation: 35+81=116, Resulting Numbers: [89, 116]
Generated Node #0,0,1: 97:[89, 116] Operation: 35+81=116
Moving to Node #0,1
Current State: 97:[70, 81, 54], Operations: ['19+35=54']
Exploring Operation: 70+54=124, Resulting Numbers: [81, 124]
Generated Node #0,1,0: 97:[81, 124] Operation: 70+54=124
Exploring Operation: 81+54=135, Resulting Numbers: [70, 135]
Generated Node #0,1,1: 97:[70, 135] Operation: 81+54=135
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[81, 124], Operations: ['19+35=54', '70+54=124']
Exploring Operation: 81+124=205, Resulting Numbers: [205]
205,97 unequal: No Solution
Exploring Operation: 124-81=43, Resulting Numbers: [43]
43,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[70, 135], Operations: ['19+35=54', '81+54=135']
Exploring Operation: 70+135=205, Resulting Numbers: [205]
205,97 unequal: No Solution
Exploring Operation: 135-70=65, Resulting Numbers: [65]
65,97 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: 97:[89, 116], Operations: ['19+70=89', '35+81=116']
Exploring Operation: 89+116=205, Resulting Numbers: [205]
205,97 unequal: No Solution
Exploring Operation: 116-89=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[81, 124], Operations: ['19+70=89', '35+89=124']
Exploring Operation: 81+124=205, Resulting Numbers: [205]
205,97 unequal: No Solution
Exploring Operation: 124-81=43, Resulting Numbers: [43]
43,97 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
66,
64,
98,
20
] | 58 | [
"66-64=2",
"20*2=40",
"98-40=58"
] | Current State: 58:[66, 64, 98, 20], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [98, 20, 2]
Generated Node #2: [98, 20, 2] from Operation: 66-64=2
Current State: 58:[98, 20, 2], Operations: ['66-64=2']
Exploring Operation: 20*2=40, Resulting Numbers: [98, 40]
Generated Node #3: [98, 40] from Operation: 20*2=40
Current State: 58:[98, 40], Operations: ['66-64=2', '20*2=40']
Exploring Operation: 98-40=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[66, 64, 98, 20], Operations: []
Exploring Operation: 98-66=32, Resulting Numbers: [64, 20, 32]
Generated Node #0,0: 58:[64, 20, 32] Operation: 98-66=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[64, 20, 32], Operations: ['98-66=32']
Exploring Operation: 64/32=2, Resulting Numbers: [20, 2]
Generated Node #0,0,0: 58:[20, 2] Operation: 64/32=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[20, 2], Operations: ['98-66=32', '64/32=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
63,
58,
55,
5
] | 98 | [
"63-55=8",
"5*8=40",
"58+40=98"
] | Current State: 98:[63, 58, 55, 5], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [58, 5, 8]
Generated Node #2: [58, 5, 8] from Operation: 63-55=8
Current State: 98:[58, 5, 8], Operations: ['63-55=8']
Exploring Operation: 5*8=40, Resulting Numbers: [58, 40]
Generated Node #3: [58, 40] from Operation: 5*8=40
Current State: 98:[58, 40], Operations: ['63-55=8', '5*8=40']
Exploring Operation: 58+40=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[63, 58, 55, 5], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [58, 5, 8]
Generated Node #0,0: 98:[58, 5, 8] Operation: 63-55=8
Exploring Operation: 63-58=5, Resulting Numbers: [55, 5, 5]
Generated Node #0,1: 98:[55, 5, 5] Operation: 63-58=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[55, 5, 5], Operations: ['63-58=5']
Exploring Operation: 55-5=50, Resulting Numbers: [5, 50]
Generated Node #0,1,0: 98:[5, 50] Operation: 55-5=50
Exploring Operation: 55-5=50, Resulting Numbers: [5, 50]
Generated Node #0,1,1: 98:[5, 50] Operation: 55-5=50
Moving to Node #0,1,0
Current State: 98:[5, 50], Operations: ['63-58=5', '55-5=50']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[5, 50], Operations: ['63-58=5', '55-5=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,98 unequal: No Solution
No 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: 98:[58, 5, 8], Operations: ['63-55=8']
Exploring Operation: 58-8=50, Resulting Numbers: [5, 50]
Generated Node #0,0,0: 98:[5, 50] Operation: 58-8=50
Exploring Operation: 58-5=53, Resulting Numbers: [8, 53]
Generated Node #0,0,1: 98:[8, 53] Operation: 58-5=53
Moving to Node #0,0,0
Current State: 98:[5, 50], Operations: ['63-55=8', '58-8=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[8, 53], Operations: ['63-55=8', '58-5=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
77,
4,
6
] | 49 | [
"17+4=21",
"6*21=126",
"126-77=49"
] | Current State: 49:[17, 77, 4, 6], Operations: []
Exploring Operation: 17+4=21, Resulting Numbers: [77, 6, 21]
Generated Node #2: [77, 6, 21] from Operation: 17+4=21
Current State: 49:[77, 6, 21], Operations: ['17+4=21']
Exploring Operation: 6*21=126, Resulting Numbers: [77, 126]
Generated Node #3: [77, 126] from Operation: 6*21=126
Current State: 49:[77, 126], Operations: ['17+4=21', '6*21=126']
Exploring Operation: 126-77=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[17, 77, 4, 6], Operations: []
Exploring Operation: 77-17=60, Resulting Numbers: [4, 6, 60]
Generated Node #0,0: 49:[4, 6, 60] Operation: 77-17=60
Exploring Operation: 77-4=73, Resulting Numbers: [17, 6, 73]
Generated Node #0,1: 49:[17, 6, 73] Operation: 77-4=73
Exploring Operation: 17-6=11, Resulting Numbers: [77, 4, 11]
Generated Node #0,2: 49:[77, 4, 11] Operation: 17-6=11
Exploring Operation: 17-4=13, Resulting Numbers: [77, 6, 13]
Generated Node #0,3: 49:[77, 6, 13] Operation: 17-4=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[4, 6, 60], Operations: ['77-17=60']
Exploring Operation: 60-4=56, Resulting Numbers: [6, 56]
Generated Node #0,0,0: 49:[6, 56] Operation: 60-4=56
Exploring Operation: 60-6=54, Resulting Numbers: [4, 54]
Generated Node #0,0,1: 49:[4, 54] Operation: 60-6=54
Exploring Operation: 60/6=10, Resulting Numbers: [4, 10]
Generated Node #0,0,2: 49:[4, 10] Operation: 60/6=10
Exploring Operation: 60/4=15, Resulting Numbers: [6, 15]
Generated Node #0,0,3: 49:[6, 15] Operation: 60/4=15
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[4, 10], Operations: ['77-17=60', '60/6=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,49 unequal: No Solution
No 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: 49:[6, 56], Operations: ['77-17=60', '60-4=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,49 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,49 unequal: No Solution
No 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: 49:[4, 54], Operations: ['77-17=60', '60-6=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,49 unequal: No Solution
No 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: 49:[6, 15], Operations: ['77-17=60', '60/4=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,49 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: 49:[17, 6, 73], Operations: ['77-4=73']
Exploring Operation: 73-17=56, Resulting Numbers: [6, 56]
Generated Node #0,1,0: 49:[6, 56] Operation: 73-17=56
Exploring Operation: 17-6=11, Resulting Numbers: [73, 11]
Generated Node #0,1,1: 49:[73, 11] Operation: 17-6=11
Exploring Operation: 17+6=23, Resulting Numbers: [73, 23]
Generated Node #0,1,2: 49:[73, 23] Operation: 17+6=23
Exploring Operation: 73-6=67, Resulting Numbers: [17, 67]
Generated Node #0,1,3: 49:[17, 67] Operation: 73-6=67
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[6, 56], Operations: ['77-4=73', '73-17=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,49 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,49 unequal: No Solution
No 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: 49:[73, 11], Operations: ['77-4=73', '17-6=11']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,49 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,49 unequal: No Solution
No 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: 49:[17, 67], Operations: ['77-4=73', '73-6=67']
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,49 unequal: No Solution
Exploring Operation: 17+67=84, Resulting Numbers: [84]
84,49 unequal: No Solution
Exploring Operation: 17*67=1139, Resulting Numbers: [1139]
1139,49 unequal: No Solution
No 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: 49:[73, 23], Operations: ['77-4=73', '17+6=23']
Exploring Operation: 73*23=1679, Resulting Numbers: [1679]
1679,49 unequal: No Solution
Exploring Operation: 73+23=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,49 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: 49:[77, 4, 11], Operations: ['17-6=11']
Exploring Operation: 11-4=7, Resulting Numbers: [77, 7]
Generated Node #0,2,0: 49:[77, 7] Operation: 11-4=7
Exploring Operation: 77-4=73, Resulting Numbers: [11, 73]
Generated Node #0,2,1: 49:[11, 73] Operation: 77-4=73
Exploring Operation: 77/11=7, Resulting Numbers: [4, 7]
Generated Node #0,2,2: 49:[4, 7] Operation: 77/11=7
Exploring Operation: 77-11=66, Resulting Numbers: [4, 66]
Generated Node #0,2,3: 49:[4, 66] Operation: 77-11=66
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[4, 7], Operations: ['17-6=11', '77/11=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,49 unequal: No Solution
No 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: 49:[4, 66], Operations: ['17-6=11', '77-11=66']
Exploring Operation: 4*66=264, Resulting Numbers: [264]
264,49 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,49 unequal: No Solution
No 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: 49:[77, 7], Operations: ['17-6=11', '11-4=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,49 unequal: No Solution
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,49 unequal: No Solution
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,49 unequal: No Solution
No 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: 49:[11, 73], Operations: ['17-6=11', '77-4=73']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 11+73=84, Resulting Numbers: [84]
84,49 unequal: No Solution
Exploring Operation: 11*73=803, Resulting Numbers: [803]
803,49 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: 49:[77, 6, 13], Operations: ['17-4=13']
Exploring Operation: 77-6=71, Resulting Numbers: [13, 71]
Generated Node #0,3,0: 49:[13, 71] Operation: 77-6=71
Exploring Operation: 77-13=64, Resulting Numbers: [6, 64]
Generated Node #0,3,1: 49:[6, 64] Operation: 77-13=64
Exploring Operation: 77+6=83, Resulting Numbers: [13, 83]
Generated Node #0,3,2: 49:[13, 83] Operation: 77+6=83
Exploring Operation: 13-6=7, Resulting Numbers: [77, 7]
Generated Node #0,3,3: 49:[77, 7] Operation: 13-6=7
Moving to Node #0,3,1
Current State: 49:[6, 64], Operations: ['17-4=13', '77-13=64']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Exploring Operation: 6+64=70, Resulting Numbers: [70]
70,49 unequal: No Solution
Exploring Operation: 6*64=384, Resulting Numbers: [384]
384,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[77, 7], Operations: ['17-4=13', '13-6=7']
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,49 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,49 unequal: No Solution
Exploring Operation: 77+7=84, Resulting Numbers: [84]
84,49 unequal: No Solution
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[13, 71], Operations: ['17-4=13', '77-6=71']
Exploring Operation: 13+71=84, Resulting Numbers: [84]
84,49 unequal: No Solution
Exploring Operation: 13*71=923, Resulting Numbers: [923]
923,49 unequal: No Solution
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[13, 83], Operations: ['17-4=13', '77+6=83']
Exploring Operation: 83-13=70, Resulting Numbers: [70]
70,49 unequal: No Solution
Exploring Operation: 13*83=1079, Resulting Numbers: [1079]
1079,49 unequal: No Solution
Exploring Operation: 13+83=96, Resulting Numbers: [96]
96,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
3,
69,
25,
29
] | 57 | [
"29-25=4",
"3*4=12",
"69-12=57"
] | Current State: 57:[3, 69, 25, 29], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [3, 69, 4]
Generated Node #2: [3, 69, 4] from Operation: 29-25=4
Current State: 57:[3, 69, 4], Operations: ['29-25=4']
Exploring Operation: 3*4=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 3*4=12
Current State: 57:[69, 12], Operations: ['29-25=4', '3*4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[3, 69, 25, 29], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [3, 69, 4]
Generated Node #0,0: 57:[3, 69, 4] Operation: 29-25=4
Exploring Operation: 69-25=44, Resulting Numbers: [3, 29, 44]
Generated Node #0,1: 57:[3, 29, 44] Operation: 69-25=44
Exploring Operation: 25+29=54, Resulting Numbers: [3, 69, 54]
Generated Node #0,2: 57:[3, 69, 54] Operation: 25+29=54
Exploring Operation: 69/3=23, Resulting Numbers: [25, 29, 23]
Generated Node #0,3: 57:[25, 29, 23] Operation: 69/3=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[3, 69, 4], Operations: ['29-25=4']
Exploring Operation: 69/3=23, Resulting Numbers: [4, 23]
Generated Node #0,0,0: 57:[4, 23] Operation: 69/3=23
Exploring Operation: 4-3=1, Resulting Numbers: [69, 1]
Generated Node #0,0,1: 57:[69, 1] Operation: 4-3=1
Exploring Operation: 69-3=66, Resulting Numbers: [4, 66]
Generated Node #0,0,2: 57:[4, 66] Operation: 69-3=66
Exploring Operation: 69-4=65, Resulting Numbers: [3, 65]
Generated Node #0,0,3: 57:[3, 65] Operation: 69-4=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[4, 23], Operations: ['29-25=4', '69/3=23']
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,57 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 57:[3, 65], Operations: ['29-25=4', '69-4=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,57 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,57 unequal: No Solution
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 57:[4, 66], Operations: ['29-25=4', '69-3=66']
Exploring Operation: 4*66=264, Resulting Numbers: [264]
264,57 unequal: No Solution
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 57:[69, 1], Operations: ['29-25=4', '4-3=1']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,57 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,57 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,57 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 #0,2
Current State: 57:[3, 69, 54], Operations: ['25+29=54']
Exploring Operation: 3+54=57, Resulting Numbers: [69, 57]
Generated Node #0,2,0: 57:[69, 57] Operation: 3+54=57
Exploring Operation: 69/3=23, Resulting Numbers: [54, 23]
Generated Node #0,2,1: 57:[54, 23] Operation: 69/3=23
Exploring Operation: 69-3=66, Resulting Numbers: [54, 66]
Generated Node #0,2,2: 57:[54, 66] Operation: 69-3=66
Exploring Operation: 69-54=15, Resulting Numbers: [3, 15]
Generated Node #0,2,3: 57:[3, 15] Operation: 69-54=15
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 57:[3, 15], Operations: ['25+29=54', '69-54=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,57 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,57 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:[54, 23], Operations: ['25+29=54', '69/3=23']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,57 unequal: No Solution
Exploring Operation: 54*23=1242, Resulting Numbers: [1242]
1242,57 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:[69, 57], Operations: ['25+29=54', '3+54=57']
Exploring Operation: 69-57=12, Resulting Numbers: [12]
12,57 unequal: No Solution
Exploring Operation: 69+57=126, Resulting Numbers: [126]
126,57 unequal: No Solution
Exploring Operation: 69*57=3933, Resulting Numbers: [3933]
3933,57 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 #0,2,2
Current State: 57:[54, 66], Operations: ['25+29=54', '69-3=66']
Exploring Operation: 54*66=3564, Resulting Numbers: [3564]
3564,57 unequal: No Solution
Exploring Operation: 66-54=12, Resulting Numbers: [12]
12,57 unequal: No Solution
Exploring Operation: 54+66=120, Resulting Numbers: [120]
120,57 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 #0,3
Current State: 57:[25, 29, 23], Operations: ['69/3=23']
Exploring Operation: 25-23=2, Resulting Numbers: [29, 2]
Generated Node #0,3,0: 57:[29, 2] Operation: 25-23=2
Exploring Operation: 29-23=6, Resulting Numbers: [25, 6]
Generated Node #0,3,1: 57:[25, 6] Operation: 29-23=6
Exploring Operation: 29-25=4, Resulting Numbers: [23, 4]
Generated Node #0,3,2: 57:[23, 4] Operation: 29-25=4
Exploring Operation: 25+29=54, Resulting Numbers: [23, 54]
Generated Node #0,3,3: 57:[23, 54] Operation: 25+29=54
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 57:[23, 4], Operations: ['69/3=23', '29-25=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,57 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 #0,3,3
Current State: 57:[23, 54], Operations: ['69/3=23', '25+29=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 23*54=1242, Resulting Numbers: [1242]
1242,57 unequal: No Solution
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,57 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 #0,3,1
Current State: 57:[25, 6], Operations: ['69/3=23', '29-23=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,57 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,57 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 #0,3,0
Current State: 57:[29, 2], Operations: ['69/3=23', '25-23=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,57 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 #0,1
Current State: 57:[3, 29, 44], Operations: ['69-25=44']
Exploring Operation: 44-29=15, Resulting Numbers: [3, 15]
Generated Node #0,1,0: 57:[3, 15] Operation: 44-29=15
Exploring Operation: 29-3=26, Resulting Numbers: [44, 26]
Generated Node #0,1,1: 57:[44, 26] Operation: 29-3=26
Exploring Operation: 3+44=47, Resulting Numbers: [29, 47]
Generated Node #0,1,2: 57:[29, 47] Operation: 3+44=47
Exploring Operation: 29+44=73, Resulting Numbers: [3, 73]
Generated Node #0,1,3: 57:[3, 73] Operation: 29+44=73
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 57:[3, 15], Operations: ['69-25=44', '44-29=15']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,57 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,57 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,57 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 57:[3, 73], Operations: ['69-25=44', '29+44=73']
Exploring Operation: 3*73=219, Resulting Numbers: [219]
219,57 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Exploring Operation: 3+73=76, Resulting Numbers: [76]
76,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 57:[44, 26], Operations: ['69-25=44', '29-3=26']
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,57 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 57:[29, 47], Operations: ['69-25=44', '3+44=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,57 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
89,
57,
79,
21
] | 68 | [
"89-57=32",
"79+21=100",
"100-32=68"
] | Current State: 68:[89, 57, 79, 21], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [79, 21, 32]
Generated Node #2: [79, 21, 32] from Operation: 89-57=32
Current State: 68:[79, 21, 32], Operations: ['89-57=32']
Exploring Operation: 79+21=100, Resulting Numbers: [32, 100]
Generated Node #3: [32, 100] from Operation: 79+21=100
Current State: 68:[32, 100], Operations: ['89-57=32', '79+21=100']
Exploring Operation: 100-32=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[89, 57, 79, 21], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [79, 21, 32]
Generated Node #0,0: 68:[79, 21, 32] Operation: 89-57=32
Exploring Operation: 89-79=10, Resulting Numbers: [57, 21, 10]
Generated Node #0,1: 68:[57, 21, 10] Operation: 89-79=10
Moving to Node #0,0
Current State: 68:[79, 21, 32], Operations: ['89-57=32']
Exploring Operation: 79-32=47, Resulting Numbers: [21, 47]
Generated Node #0,0,0: 68:[21, 47] Operation: 79-32=47
Exploring Operation: 79-21=58, Resulting Numbers: [32, 58]
Generated Node #0,0,1: 68:[32, 58] Operation: 79-21=58
Moving to Node #0,1
Current State: 68:[57, 21, 10], Operations: ['89-79=10']
Exploring Operation: 57+10=67, Resulting Numbers: [21, 67]
Generated Node #0,1,0: 68:[21, 67] Operation: 57+10=67
Exploring Operation: 57-21=36, Resulting Numbers: [10, 36]
Generated Node #0,1,1: 68:[10, 36] Operation: 57-21=36
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[21, 67], Operations: ['89-79=10', '57+10=67']
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 21+67=88, Resulting Numbers: [88]
88,68 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:[10, 36], Operations: ['89-79=10', '57-21=36']
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,68 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: 68:[32, 58], Operations: ['89-57=32', '79-21=58']
Exploring Operation: 32+58=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[21, 47], Operations: ['89-57=32', '79-32=47']
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[89, 57, 79, 21], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [79, 21, 32]
Generated Node #0,0: 68:[79, 21, 32] Operation: 89-57=32
Moving to Node #0,0
Current State: 68:[79, 21, 32], Operations: ['89-57=32']
Exploring Operation: 79-32=47, Resulting Numbers: [21, 47]
Generated Node #0,0,0: 68:[21, 47] Operation: 79-32=47
Moving to Node #0,0,0
Current State: 68:[21, 47], Operations: ['89-57=32', '79-32=47']
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.985243 | hs_2 | sum_heuristic |
[
6,
46,
50,
85
] | 75 | [
"46-6=40",
"85-50=35",
"40+35=75"
] | Current State: 75:[6, 46, 50, 85], Operations: []
Exploring Operation: 46-6=40, Resulting Numbers: [50, 85, 40]
Generated Node #2: [50, 85, 40] from Operation: 46-6=40
Current State: 75:[50, 85, 40], Operations: ['46-6=40']
Exploring Operation: 85-50=35, Resulting Numbers: [40, 35]
Generated Node #3: [40, 35] from Operation: 85-50=35
Current State: 75:[40, 35], Operations: ['46-6=40', '85-50=35']
Exploring Operation: 40+35=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[6, 46, 50, 85], Operations: []
Exploring Operation: 46+50=96, Resulting Numbers: [6, 85, 96]
Generated Node #0,0: 75:[6, 85, 96] Operation: 46+50=96
Exploring Operation: 50-46=4, Resulting Numbers: [6, 85, 4]
Generated Node #0,1: 75:[6, 85, 4] Operation: 50-46=4
Moving to Node #0,1
Current State: 75:[6, 85, 4], Operations: ['50-46=4']
Exploring Operation: 85-6=79, Resulting Numbers: [4, 79]
Generated Node #0,1,0: 75:[4, 79] Operation: 85-6=79
Exploring Operation: 85-4=81, Resulting Numbers: [6, 81]
Generated Node #0,1,1: 75:[6, 81] Operation: 85-4=81
Moving to Node #0,0
Current State: 75:[6, 85, 96], Operations: ['46+50=96']
Exploring Operation: 96/6=16, Resulting Numbers: [85, 16]
Generated Node #0,0,0: 75:[85, 16] Operation: 96/6=16
Exploring Operation: 96-85=11, Resulting Numbers: [6, 11]
Generated Node #0,0,1: 75:[6, 11] Operation: 96-85=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[6, 11], Operations: ['46+50=96', '96-85=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[85, 16], Operations: ['46+50=96', '96/6=16']
Exploring Operation: 85+16=101, Resulting Numbers: [101]
101,75 unequal: No Solution
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,75 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:[4, 79], Operations: ['50-46=4', '85-6=79']
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,75 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[6, 46, 50, 85], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [6, 85, 4]
Generated Node #0,1: 75:[6, 85, 4] Operation: 50-46=4
Moving to Node #0,1
Current State: 75:[6, 85, 4], Operations: ['50-46=4']
Exploring Operation: 85-6=79, Resulting Numbers: [4, 79]
Generated Node #0,1,0: 75:[4, 79] Operation: 85-6=79
Moving to Node #0,1,0
Current State: 75:[4, 79], Operations: ['50-46=4', '85-6=79']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
4,
27,
18,
60
] | 96 | [
"4+60=64",
"27*64=1728",
"1728/18=96"
] | Current State: 96:[4, 27, 18, 60], Operations: []
Exploring Operation: 4+60=64, Resulting Numbers: [27, 18, 64]
Generated Node #2: [27, 18, 64] from Operation: 4+60=64
Current State: 96:[27, 18, 64], Operations: ['4+60=64']
Exploring Operation: 27*64=1728, Resulting Numbers: [18, 1728]
Generated Node #3: [18, 1728] from Operation: 27*64=1728
Current State: 96:[18, 1728], Operations: ['4+60=64', '27*64=1728']
Exploring Operation: 1728/18=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[4, 27, 18, 60], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [4, 18, 33]
Generated Node #0,0: 96:[4, 18, 33] Operation: 60-27=33
Exploring Operation: 60/4=15, Resulting Numbers: [27, 18, 15]
Generated Node #0,1: 96:[27, 18, 15] Operation: 60/4=15
Exploring Operation: 60-18=42, Resulting Numbers: [4, 27, 42]
Generated Node #0,2: 96:[4, 27, 42] Operation: 60-18=42
Moving to Node #0,0
Current State: 96:[4, 18, 33], Operations: ['60-27=33']
Exploring Operation: 4+18=22, Resulting Numbers: [33, 22]
Generated Node #0,0,0: 96:[33, 22] Operation: 4+18=22
Exploring Operation: 18-4=14, Resulting Numbers: [33, 14]
Generated Node #0,0,1: 96:[33, 14] Operation: 18-4=14
Exploring Operation: 33-18=15, Resulting Numbers: [4, 15]
Generated Node #0,0,2: 96:[4, 15] Operation: 33-18=15
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[4, 15], Operations: ['60-27=33', '33-18=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,96 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[33, 22], Operations: ['60-27=33', '4+18=22']
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 33+22=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Exploring Operation: 33*22=726, Resulting Numbers: [726]
726,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[33, 14], Operations: ['60-27=33', '18-4=14']
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,96 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,96 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:[27, 18, 15], Operations: ['60/4=15']
Exploring Operation: 27-15=12, Resulting Numbers: [18, 12]
Generated Node #0,1,0: 96:[18, 12] Operation: 27-15=12
Exploring Operation: 18-15=3, Resulting Numbers: [27, 3]
Generated Node #0,1,1: 96:[27, 3] Operation: 18-15=3
Exploring Operation: 27-18=9, Resulting Numbers: [15, 9]
Generated Node #0,1,2: 96:[15, 9] Operation: 27-18=9
Moving to Node #0,2
Current State: 96:[4, 27, 42], Operations: ['60-18=42']
Exploring Operation: 42-27=15, Resulting Numbers: [4, 15]
Generated Node #0,2,0: 96:[4, 15] Operation: 42-27=15
Exploring Operation: 4+27=31, Resulting Numbers: [42, 31]
Generated Node #0,2,1: 96:[42, 31] Operation: 4+27=31
Exploring Operation: 4+42=46, Resulting Numbers: [27, 46]
Generated Node #0,2,2: 96:[27, 46] Operation: 4+42=46
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[4, 15], Operations: ['60-18=42', '42-27=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,96 unequal: No Solution
Exploring Operation: 15-4=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 #0,2,2
Current State: 96:[27, 46], Operations: ['60-18=42', '4+42=46']
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,96 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,96 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 #0,2,1
Current State: 96:[42, 31], Operations: ['60-18=42', '4+27=31']
Exploring Operation: 42+31=73, Resulting Numbers: [73]
73,96 unequal: No Solution
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 42*31=1302, Resulting Numbers: [1302]
1302,96 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: 96:[18, 12], Operations: ['60/4=15', '27-15=12']
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 18*12=216, Resulting Numbers: [216]
216,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[15, 9], Operations: ['60/4=15', '27-18=9']
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[27, 3], Operations: ['60/4=15', '18-15=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,96 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
15,
21,
51,
79
] | 94 | [
"15+21=36",
"51+79=130",
"130-36=94"
] | Current State: 94:[15, 21, 51, 79], Operations: []
Exploring Operation: 15+21=36, Resulting Numbers: [51, 79, 36]
Generated Node #2: [51, 79, 36] from Operation: 15+21=36
Current State: 94:[51, 79, 36], Operations: ['15+21=36']
Exploring Operation: 51+79=130, Resulting Numbers: [36, 130]
Generated Node #3: [36, 130] from Operation: 51+79=130
Current State: 94:[36, 130], Operations: ['15+21=36', '51+79=130']
Exploring Operation: 130-36=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[15, 21, 51, 79], Operations: []
Exploring Operation: 21+79=100, Resulting Numbers: [15, 51, 100]
Generated Node #0,0: 94:[15, 51, 100] Operation: 21+79=100
Exploring Operation: 79-21=58, Resulting Numbers: [15, 51, 58]
Generated Node #0,1: 94:[15, 51, 58] Operation: 79-21=58
Exploring Operation: 21-15=6, Resulting Numbers: [51, 79, 6]
Generated Node #0,2: 94:[51, 79, 6] Operation: 21-15=6
Exploring Operation: 15+79=94, Resulting Numbers: [21, 51, 94]
Generated Node #0,3: 94:[21, 51, 94] Operation: 15+79=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[15, 51, 100], Operations: ['21+79=100']
Exploring Operation: 51-15=36, Resulting Numbers: [100, 36]
Generated Node #0,0,0: 94:[100, 36] Operation: 51-15=36
Exploring Operation: 100-51=49, Resulting Numbers: [15, 49]
Generated Node #0,0,1: 94:[15, 49] Operation: 100-51=49
Exploring Operation: 15+51=66, Resulting Numbers: [100, 66]
Generated Node #0,0,2: 94:[100, 66] Operation: 15+51=66
Exploring Operation: 100-15=85, Resulting Numbers: [51, 85]
Generated Node #0,0,3: 94:[51, 85] Operation: 100-15=85
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 94:[51, 85], Operations: ['21+79=100', '100-15=85']
Exploring Operation: 51*85=4335, Resulting Numbers: [4335]
4335,94 unequal: No Solution
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 51+85=136, Resulting Numbers: [136]
136,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[15, 49], Operations: ['21+79=100', '100-51=49']
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 15*49=735, Resulting Numbers: [735]
735,94 unequal: No Solution
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[100, 36], Operations: ['21+79=100', '51-15=36']
Exploring Operation: 100-36=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 100+36=136, Resulting Numbers: [136]
136,94 unequal: No Solution
Exploring Operation: 100*36=3600, Resulting Numbers: [3600]
3600,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[100, 66], Operations: ['21+79=100', '15+51=66']
Exploring Operation: 100-66=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 100+66=166, Resulting Numbers: [166]
166,94 unequal: No Solution
Exploring Operation: 100*66=6600, Resulting Numbers: [6600]
6600,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[51, 79, 6], Operations: ['21-15=6']
Exploring Operation: 79+6=85, Resulting Numbers: [51, 85]
Generated Node #0,2,0: 94:[51, 85] Operation: 79+6=85
Exploring Operation: 51+6=57, Resulting Numbers: [79, 57]
Generated Node #0,2,1: 94:[79, 57] Operation: 51+6=57
Exploring Operation: 51-6=45, Resulting Numbers: [79, 45]
Generated Node #0,2,2: 94:[79, 45] Operation: 51-6=45
Exploring Operation: 79-51=28, Resulting Numbers: [6, 28]
Generated Node #0,2,3: 94:[6, 28] Operation: 79-51=28
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 94:[51, 85], Operations: ['21-15=6', '79+6=85']
Exploring Operation: 51+85=136, Resulting Numbers: [136]
136,94 unequal: No Solution
Exploring Operation: 51*85=4335, Resulting Numbers: [4335]
4335,94 unequal: No Solution
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 94:[79, 45], Operations: ['21-15=6', '51-6=45']
Exploring Operation: 79+45=124, Resulting Numbers: [124]
124,94 unequal: No Solution
Exploring Operation: 79*45=3555, Resulting Numbers: [3555]
3555,94 unequal: No Solution
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 94:[6, 28], Operations: ['21-15=6', '79-51=28']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,94 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,94 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 94:[79, 57], Operations: ['21-15=6', '51+6=57']
Exploring Operation: 79*57=4503, Resulting Numbers: [4503]
4503,94 unequal: No Solution
Exploring Operation: 79+57=136, Resulting Numbers: [136]
136,94 unequal: No Solution
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[21, 51, 94], Operations: ['15+79=94']
Exploring Operation: 94-51=43, Resulting Numbers: [21, 43]
Generated Node #0,3,0: 94:[21, 43] Operation: 94-51=43
Exploring Operation: 21+51=72, Resulting Numbers: [94, 72]
Generated Node #0,3,1: 94:[94, 72] Operation: 21+51=72
Exploring Operation: 21+94=115, Resulting Numbers: [51, 115]
Generated Node #0,3,2: 94:[51, 115] Operation: 21+94=115
Exploring Operation: 51-21=30, Resulting Numbers: [94, 30]
Generated Node #0,3,3: 94:[94, 30] Operation: 51-21=30
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 94:[94, 30], Operations: ['15+79=94', '51-21=30']
Exploring Operation: 94+30=124, Resulting Numbers: [124]
124,94 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 94*30=2820, Resulting Numbers: [2820]
2820,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 94:[94, 72], Operations: ['15+79=94', '21+51=72']
Exploring Operation: 94-72=22, Resulting Numbers: [22]
22,94 unequal: No Solution
Exploring Operation: 94*72=6768, Resulting Numbers: [6768]
6768,94 unequal: No Solution
Exploring Operation: 94+72=166, Resulting Numbers: [166]
166,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 94:[21, 43], Operations: ['15+79=94', '94-51=43']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,94 unequal: No Solution
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 94:[51, 115], Operations: ['15+79=94', '21+94=115']
Exploring Operation: 115-51=64, Resulting Numbers: [64]
64,94 unequal: No Solution
Exploring Operation: 51*115=5865, Resulting Numbers: [5865]
5865,94 unequal: No Solution
Exploring Operation: 51+115=166, Resulting Numbers: [166]
166,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[15, 51, 58], Operations: ['79-21=58']
Exploring Operation: 15+58=73, Resulting Numbers: [51, 73]
Generated Node #0,1,0: 94:[51, 73] Operation: 15+58=73
Exploring Operation: 58-15=43, Resulting Numbers: [51, 43]
Generated Node #0,1,1: 94:[51, 43] Operation: 58-15=43
Exploring Operation: 58-51=7, Resulting Numbers: [15, 7]
Generated Node #0,1,2: 94:[15, 7] Operation: 58-51=7
Exploring Operation: 51-15=36, Resulting Numbers: [58, 36]
Generated Node #0,1,3: 94:[58, 36] Operation: 51-15=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 94:[51, 43], Operations: ['79-21=58', '58-15=43']
Exploring Operation: 51+43=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[15, 21, 51, 79], Operations: []
Exploring Operation: 79-21=58, Resulting Numbers: [15, 51, 58]
Generated Node #0,1: 94:[15, 51, 58] Operation: 79-21=58
Moving to Node #0,1
Current State: 94:[15, 51, 58], Operations: ['79-21=58']
Exploring Operation: 58-15=43, Resulting Numbers: [51, 43]
Generated Node #0,1,1: 94:[51, 43] Operation: 58-15=43
Moving to Node #0,1,1
Current State: 94:[51, 43], Operations: ['79-21=58', '58-15=43']
Exploring Operation: 51+43=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.947049 | hs_4 | sum_heuristic |
[
23,
57,
79,
25
] | 69 | [
"79-57=22",
"25-22=3",
"23*3=69"
] | Current State: 69:[23, 57, 79, 25], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [23, 25, 22]
Generated Node #2: [23, 25, 22] from Operation: 79-57=22
Current State: 69:[23, 25, 22], Operations: ['79-57=22']
Exploring Operation: 25-22=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 25-22=3
Current State: 69:[23, 3], Operations: ['79-57=22', '25-22=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[23, 57, 79, 25], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [23, 25, 22]
Generated Node #0,0: 69:[23, 25, 22] Operation: 79-57=22
Moving to Node #0,0
Current State: 69:[23, 25, 22], Operations: ['79-57=22']
Exploring Operation: 25-22=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 69:[23, 3] Operation: 25-22=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[23, 3], Operations: ['79-57=22', '25-22=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[23, 57, 79, 25], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [23, 25, 22]
Generated Node #0,0: 69:[23, 25, 22] Operation: 79-57=22
Moving to Node #0,0
Current State: 69:[23, 25, 22], Operations: ['79-57=22']
Exploring Operation: 25-22=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 69:[23, 3] Operation: 25-22=3
Moving to Node #0,0,0
Current State: 69:[23, 3], Operations: ['79-57=22', '25-22=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
59,
62,
24,
60
] | 33 | [
"62-59=3",
"60-24=36",
"36-3=33"
] | Current State: 33:[59, 62, 24, 60], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [24, 60, 3]
Generated Node #2: [24, 60, 3] from Operation: 62-59=3
Current State: 33:[24, 60, 3], Operations: ['62-59=3']
Exploring Operation: 60-24=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 60-24=36
Current State: 33:[3, 36], Operations: ['62-59=3', '60-24=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[59, 62, 24, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [59, 24, 2]
Generated Node #0,0: 33:[59, 24, 2] Operation: 62-60=2
Exploring Operation: 62-59=3, Resulting Numbers: [24, 60, 3]
Generated Node #0,1: 33:[24, 60, 3] Operation: 62-59=3
Exploring Operation: 60-59=1, Resulting Numbers: [62, 24, 1]
Generated Node #0,2: 33:[62, 24, 1] Operation: 60-59=1
Exploring Operation: 62-24=38, Resulting Numbers: [59, 60, 38]
Generated Node #0,3: 33:[59, 60, 38] Operation: 62-24=38
Exploring Operation: 59-24=35, Resulting Numbers: [62, 60, 35]
Generated Node #0,4: 33:[62, 60, 35] Operation: 59-24=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[59, 24, 2], Operations: ['62-60=2']
Exploring Operation: 59+2=61, Resulting Numbers: [24, 61]
Generated Node #0,0,0: 33:[24, 61] Operation: 59+2=61
Exploring Operation: 24/2=12, Resulting Numbers: [59, 12]
Generated Node #0,0,1: 33:[59, 12] Operation: 24/2=12
Exploring Operation: 24+2=26, Resulting Numbers: [59, 26]
Generated Node #0,0,2: 33:[59, 26] Operation: 24+2=26
Exploring Operation: 59-24=35, Resulting Numbers: [2, 35]
Generated Node #0,0,3: 33:[2, 35] Operation: 59-24=35
Exploring Operation: 59-2=57, Resulting Numbers: [24, 57]
Generated Node #0,0,4: 33:[24, 57] Operation: 59-2=57
Moving to Node #0,0,3
Current State: 33:[2, 35], Operations: ['62-60=2', '59-24=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,33 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[59, 62, 24, 60], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [59, 24, 2]
Generated Node #0,0: 33:[59, 24, 2] Operation: 62-60=2
Moving to Node #0,0
Current State: 33:[59, 24, 2], Operations: ['62-60=2']
Exploring Operation: 59-24=35, Resulting Numbers: [2, 35]
Generated Node #0,0,3: 33:[2, 35] Operation: 59-24=35
Moving to Node #0,0,3
Current State: 33:[2, 35], Operations: ['62-60=2', '59-24=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
99,
76,
99,
45
] | 30 | [
"99/99=1",
"76-45=31",
"31-1=30"
] | Current State: 30:[99, 76, 99, 45], Operations: []
Exploring Operation: 99/99=1, Resulting Numbers: [76, 45, 1]
Generated Node #2: [76, 45, 1] from Operation: 99/99=1
Current State: 30:[76, 45, 1], Operations: ['99/99=1']
Exploring Operation: 76-45=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 76-45=31
Current State: 30:[1, 31], Operations: ['99/99=1', '76-45=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[99, 76, 99, 45], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [76, 45, 0]
Generated Node #0,0: 30:[76, 45, 0] Operation: 99-99=0
Exploring Operation: 99-76=23, Resulting Numbers: [99, 45, 23]
Generated Node #0,1: 30:[99, 45, 23] Operation: 99-76=23
Exploring Operation: 99/99=1, Resulting Numbers: [76, 45, 1]
Generated Node #0,2: 30:[76, 45, 1] Operation: 99/99=1
Exploring Operation: 99-76=23, Resulting Numbers: [99, 45, 23]
Generated Node #0,3: 30:[99, 45, 23] Operation: 99-76=23
Moving to Node #0,2
Current State: 30:[76, 45, 1], Operations: ['99/99=1']
Exploring Operation: 76-45=31, Resulting Numbers: [1, 31]
Generated Node #0,2,0: 30:[1, 31] Operation: 76-45=31
Exploring Operation: 76-1=75, Resulting Numbers: [45, 75]
Generated Node #0,2,1: 30:[45, 75] Operation: 76-1=75
Exploring Operation: 76*1=76, Resulting Numbers: [45, 76]
Generated Node #0,2,2: 30:[45, 76] Operation: 76*1=76
Exploring Operation: 45-1=44, Resulting Numbers: [76, 44]
Generated Node #0,2,3: 30:[76, 44] Operation: 45-1=44
Moving to Node #0,0
Current State: 30:[76, 45, 0], Operations: ['99-99=0']
Exploring Operation: 76-45=31, Resulting Numbers: [0, 31]
Generated Node #0,0,0: 30:[0, 31] Operation: 76-45=31
Exploring Operation: 76*0=0, Resulting Numbers: [45, 0]
Generated Node #0,0,1: 30:[45, 0] Operation: 76*0=0
Exploring Operation: 45*0=0, Resulting Numbers: [76, 0]
Generated Node #0,0,2: 30:[76, 0] Operation: 45*0=0
Exploring Operation: 76+0=76, Resulting Numbers: [45, 76]
Generated Node #0,0,3: 30:[45, 76] Operation: 76+0=76
Moving to Node #0,3
Current State: 30:[99, 45, 23], Operations: ['99-76=23']
Exploring Operation: 99-23=76, Resulting Numbers: [45, 76]
Generated Node #0,3,0: 30:[45, 76] Operation: 99-23=76
Exploring Operation: 99+23=122, Resulting Numbers: [45, 122]
Generated Node #0,3,1: 30:[45, 122] Operation: 99+23=122
Exploring Operation: 45-23=22, Resulting Numbers: [99, 22]
Generated Node #0,3,2: 30:[99, 22] Operation: 45-23=22
Exploring Operation: 99-45=54, Resulting Numbers: [23, 54]
Generated Node #0,3,3: 30:[23, 54] Operation: 99-45=54
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 30:[23, 54], Operations: ['99-76=23', '99-45=54']
Exploring Operation: 23*54=1242, Resulting Numbers: [1242]
1242,30 unequal: No Solution
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 30:[45, 76], Operations: ['99-76=23', '99-23=76']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 45*76=3420, Resulting Numbers: [3420]
3420,30 unequal: No Solution
Exploring Operation: 45+76=121, Resulting Numbers: [121]
121,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 30:[99, 22], Operations: ['99-76=23', '45-23=22']
Exploring Operation: 99+22=121, Resulting Numbers: [121]
121,30 unequal: No Solution
Exploring Operation: 99-22=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 99*22=2178, Resulting Numbers: [2178]
2178,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 30:[45, 122], Operations: ['99-76=23', '99+23=122']
Exploring Operation: 45*122=5490, Resulting Numbers: [5490]
5490,30 unequal: No Solution
Exploring Operation: 122-45=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 45+122=167, Resulting Numbers: [167]
167,30 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: 30:[99, 45, 23], Operations: ['99-76=23']
Exploring Operation: 45-23=22, Resulting Numbers: [99, 22]
Generated Node #0,1,0: 30:[99, 22] Operation: 45-23=22
Exploring Operation: 99+23=122, Resulting Numbers: [45, 122]
Generated Node #0,1,1: 30:[45, 122] Operation: 99+23=122
Exploring Operation: 99-45=54, Resulting Numbers: [23, 54]
Generated Node #0,1,2: 30:[23, 54] Operation: 99-45=54
Exploring Operation: 99-23=76, Resulting Numbers: [45, 76]
Generated Node #0,1,3: 30:[45, 76] Operation: 99-23=76
Moving to Node #0,2,0
Current State: 30:[1, 31], Operations: ['99/99=1', '76-45=31']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[99, 76, 99, 45], Operations: []
Exploring Operation: 99/99=1, Resulting Numbers: [76, 45, 1]
Generated Node #0,2: 30:[76, 45, 1] Operation: 99/99=1
Moving to Node #0,2
Current State: 30:[76, 45, 1], Operations: ['99/99=1']
Exploring Operation: 76-45=31, Resulting Numbers: [1, 31]
Generated Node #0,2,0: 30:[1, 31] Operation: 76-45=31
Moving to Node #0,2,0
Current State: 30:[1, 31], Operations: ['99/99=1', '76-45=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.966146 | hs_4 | sum_heuristic |
[
95,
86,
32,
85
] | 63 | [
"95-32=63",
"86-85=1",
"63*1=63"
] | Current State: 63:[95, 86, 32, 85], Operations: []
Exploring Operation: 95-32=63, Resulting Numbers: [86, 85, 63]
Generated Node #2: [86, 85, 63] from Operation: 95-32=63
Current State: 63:[86, 85, 63], Operations: ['95-32=63']
Exploring Operation: 86-85=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 86-85=1
Current State: 63:[63, 1], Operations: ['95-32=63', '86-85=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[95, 86, 32, 85], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [86, 32, 10]
Generated Node #0,0: 63:[86, 32, 10] Operation: 95-85=10
Exploring Operation: 95-86=9, Resulting Numbers: [32, 85, 9]
Generated Node #0,1: 63:[32, 85, 9] Operation: 95-86=9
Exploring Operation: 95-32=63, Resulting Numbers: [86, 85, 63]
Generated Node #0,2: 63:[86, 85, 63] Operation: 95-32=63
Moving to Node #0,1
Current State: 63:[32, 85, 9], Operations: ['95-86=9']
Exploring Operation: 85-9=76, Resulting Numbers: [32, 76]
Generated Node #0,1,0: 63:[32, 76] Operation: 85-9=76
Exploring Operation: 85-32=53, Resulting Numbers: [9, 53]
Generated Node #0,1,1: 63:[9, 53] Operation: 85-32=53
Exploring Operation: 32-9=23, Resulting Numbers: [85, 23]
Generated Node #0,1,2: 63:[85, 23] Operation: 32-9=23
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[9, 53], Operations: ['95-86=9', '85-32=53']
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 9*53=477, Resulting Numbers: [477]
477,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[32, 76], Operations: ['95-86=9', '85-9=76']
Exploring Operation: 32+76=108, Resulting Numbers: [108]
108,63 unequal: No Solution
Exploring Operation: 32*76=2432, Resulting Numbers: [2432]
2432,63 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 63:[85, 23], Operations: ['95-86=9', '32-9=23']
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,63 unequal: No Solution
Exploring Operation: 85*23=1955, Resulting Numbers: [1955]
1955,63 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 63:[86, 32, 10], Operations: ['95-85=10']
Exploring Operation: 86-10=76, Resulting Numbers: [32, 76]
Generated Node #0,0,0: 63:[32, 76] Operation: 86-10=76
Exploring Operation: 86-32=54, Resulting Numbers: [10, 54]
Generated Node #0,0,1: 63:[10, 54] Operation: 86-32=54
Exploring Operation: 32-10=22, Resulting Numbers: [86, 22]
Generated Node #0,0,2: 63:[86, 22] Operation: 32-10=22
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[10, 54], Operations: ['95-85=10', '86-32=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 10*54=540, Resulting Numbers: [540]
540,63 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[32, 76], Operations: ['95-85=10', '86-10=76']
Exploring Operation: 32+76=108, Resulting Numbers: [108]
108,63 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,63 unequal: No Solution
Exploring Operation: 32*76=2432, Resulting Numbers: [2432]
2432,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[86, 22], Operations: ['95-85=10', '32-10=22']
Exploring Operation: 86*22=1892, Resulting Numbers: [1892]
1892,63 unequal: No Solution
Exploring Operation: 86+22=108, Resulting Numbers: [108]
108,63 unequal: No Solution
Exploring Operation: 86-22=64, Resulting Numbers: [64]
64,63 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: 63:[86, 85, 63], Operations: ['95-32=63']
Exploring Operation: 85-63=22, Resulting Numbers: [86, 22]
Generated Node #0,2,0: 63:[86, 22] Operation: 85-63=22
Exploring Operation: 86-85=1, Resulting Numbers: [63, 1]
Generated Node #0,2,1: 63:[63, 1] Operation: 86-85=1
Exploring Operation: 86-63=23, Resulting Numbers: [85, 23]
Generated Node #0,2,2: 63:[85, 23] Operation: 86-63=23
Moving to Node #0,2,1
Current State: 63:[63, 1], Operations: ['95-32=63', '86-85=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[95, 86, 32, 85], Operations: []
Exploring Operation: 95-32=63, Resulting Numbers: [86, 85, 63]
Generated Node #0,2: 63:[86, 85, 63] Operation: 95-32=63
Moving to Node #0,2
Current State: 63:[86, 85, 63], Operations: ['95-32=63']
Exploring Operation: 86-85=1, Resulting Numbers: [63, 1]
Generated Node #0,2,1: 63:[63, 1] Operation: 86-85=1
Moving to Node #0,2,1
Current State: 63:[63, 1], Operations: ['95-32=63', '86-85=1']
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.96875 | hs_3 | sum_heuristic |
[
37,
48,
73,
97
] | 39 | [
"97-73=24",
"48/24=2",
"37+2=39"
] | Current State: 39:[37, 48, 73, 97], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [37, 48, 24]
Generated Node #2: [37, 48, 24] from Operation: 97-73=24
Current State: 39:[37, 48, 24], Operations: ['97-73=24']
Exploring Operation: 48/24=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 48/24=2
Current State: 39:[37, 2], Operations: ['97-73=24', '48/24=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[37, 48, 73, 97], Operations: []
Exploring Operation: 97-37=60, Resulting Numbers: [48, 73, 60]
Generated Node #0,0: 39:[48, 73, 60] Operation: 97-37=60
Exploring Operation: 73-37=36, Resulting Numbers: [48, 97, 36]
Generated Node #0,1: 39:[48, 97, 36] Operation: 73-37=36
Exploring Operation: 97-48=49, Resulting Numbers: [37, 73, 49]
Generated Node #0,2: 39:[37, 73, 49] Operation: 97-48=49
Exploring Operation: 73-48=25, Resulting Numbers: [37, 97, 25]
Generated Node #0,3: 39:[37, 97, 25] Operation: 73-48=25
Exploring Operation: 97-73=24, Resulting Numbers: [37, 48, 24]
Generated Node #0,4: 39:[37, 48, 24] Operation: 97-73=24
Moving to Node #0,4
Current State: 39:[37, 48, 24], Operations: ['97-73=24']
Exploring Operation: 37-24=13, Resulting Numbers: [48, 13]
Generated Node #0,4,0: 39:[48, 13] Operation: 37-24=13
Exploring Operation: 48-37=11, Resulting Numbers: [24, 11]
Generated Node #0,4,1: 39:[24, 11] Operation: 48-37=11
Exploring Operation: 48/24=2, Resulting Numbers: [37, 2]
Generated Node #0,4,2: 39:[37, 2] Operation: 48/24=2
Exploring Operation: 48-24=24, Resulting Numbers: [37, 24]
Generated Node #0,4,3: 39:[37, 24] Operation: 48-24=24
Exploring Operation: 37+24=61, Resulting Numbers: [48, 61]
Generated Node #0,4,4: 39:[48, 61] Operation: 37+24=61
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 39:[37, 2], Operations: ['97-73=24', '48/24=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[37, 48, 73, 97], Operations: []
Exploring Operation: 97-73=24, Resulting Numbers: [37, 48, 24]
Generated Node #0,4: 39:[37, 48, 24] Operation: 97-73=24
Moving to Node #0,4
Current State: 39:[37, 48, 24], Operations: ['97-73=24']
Exploring Operation: 48/24=2, Resulting Numbers: [37, 2]
Generated Node #0,4,2: 39:[37, 2] Operation: 48/24=2
Moving to Node #0,4,2
Current State: 39:[37, 2], Operations: ['97-73=24', '48/24=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
7,
68,
56,
3
] | 87 | [
"68-56=12",
"7*12=84",
"3+84=87"
] | Current State: 87:[7, 68, 56, 3], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [7, 3, 12]
Generated Node #2: [7, 3, 12] from Operation: 68-56=12
Current State: 87:[7, 3, 12], Operations: ['68-56=12']
Exploring Operation: 7*12=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 7*12=84
Current State: 87:[3, 84], Operations: ['68-56=12', '7*12=84']
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[7, 68, 56, 3], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [7, 3, 12]
Generated Node #0,0: 87:[7, 3, 12] Operation: 68-56=12
Exploring Operation: 56/7=8, Resulting Numbers: [68, 3, 8]
Generated Node #0,1: 87:[68, 3, 8] Operation: 56/7=8
Moving to Node #0,0
Current State: 87:[7, 3, 12], Operations: ['68-56=12']
Exploring Operation: 12-7=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 87:[3, 5] Operation: 12-7=5
Exploring Operation: 7*12=84, Resulting Numbers: [3, 84]
Generated Node #0,0,1: 87:[3, 84] Operation: 7*12=84
Moving to Node #0,1
Current State: 87:[68, 3, 8], Operations: ['56/7=8']
Exploring Operation: 68+8=76, Resulting Numbers: [3, 76]
Generated Node #0,1,0: 87:[3, 76] Operation: 68+8=76
Exploring Operation: 68+3=71, Resulting Numbers: [8, 71]
Generated Node #0,1,1: 87:[8, 71] Operation: 68+3=71
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[3, 76], Operations: ['56/7=8', '68+8=76']
Exploring Operation: 3+76=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[8, 71], Operations: ['56/7=8', '68+3=71']
Exploring Operation: 8+71=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,87 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: 87:[3, 5], Operations: ['68-56=12', '12-7=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[3, 84], Operations: ['68-56=12', '7*12=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[7, 68, 56, 3], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [7, 3, 12]
Generated Node #0,0: 87:[7, 3, 12] Operation: 68-56=12
Moving to Node #0,0
Current State: 87:[7, 3, 12], Operations: ['68-56=12']
Exploring Operation: 7*12=84, Resulting Numbers: [3, 84]
Generated Node #0,0,1: 87:[3, 84] Operation: 7*12=84
Moving to Node #0,0,1
Current State: 87:[3, 84], Operations: ['68-56=12', '7*12=84']
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
92,
24,
17,
85
] | 49 | [
"92-85=7",
"24-17=7",
"7*7=49"
] | Current State: 49:[92, 24, 17, 85], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [24, 17, 7]
Generated Node #2: [24, 17, 7] from Operation: 92-85=7
Current State: 49:[24, 17, 7], Operations: ['92-85=7']
Exploring Operation: 24-17=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 24-17=7
Current State: 49:[7, 7], Operations: ['92-85=7', '24-17=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[92, 24, 17, 85], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [24, 17, 7]
Generated Node #0,0: 49:[24, 17, 7] Operation: 92-85=7
Moving to Node #0,0
Current State: 49:[24, 17, 7], Operations: ['92-85=7']
Exploring Operation: 24-17=7, Resulting Numbers: [7, 7]
Generated Node #0,0,0: 49:[7, 7] Operation: 24-17=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[7, 7], Operations: ['92-85=7', '24-17=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[92, 24, 17, 85], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [24, 17, 7]
Generated Node #0,0: 49:[24, 17, 7] Operation: 92-85=7
Moving to Node #0,0
Current State: 49:[24, 17, 7], Operations: ['92-85=7']
Exploring Operation: 24-17=7, Resulting Numbers: [7, 7]
Generated Node #0,0,0: 49:[7, 7] Operation: 24-17=7
Moving to Node #0,0,0
Current State: 49:[7, 7], Operations: ['92-85=7', '24-17=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
78,
84,
68,
29
] | 65 | [
"78+84=162",
"68+29=97",
"162-97=65"
] | Current State: 65:[78, 84, 68, 29], Operations: []
Exploring Operation: 78+84=162, Resulting Numbers: [68, 29, 162]
Generated Node #2: [68, 29, 162] from Operation: 78+84=162
Current State: 65:[68, 29, 162], Operations: ['78+84=162']
Exploring Operation: 68+29=97, Resulting Numbers: [162, 97]
Generated Node #3: [162, 97] from Operation: 68+29=97
Current State: 65:[162, 97], Operations: ['78+84=162', '68+29=97']
Exploring Operation: 162-97=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[78, 84, 68, 29], Operations: []
Exploring Operation: 84-29=55, Resulting Numbers: [78, 68, 55]
Generated Node #0,0: 65:[78, 68, 55] Operation: 84-29=55
Exploring Operation: 84-68=16, Resulting Numbers: [78, 29, 16]
Generated Node #0,1: 65:[78, 29, 16] Operation: 84-68=16
Exploring Operation: 78-29=49, Resulting Numbers: [84, 68, 49]
Generated Node #0,2: 65:[84, 68, 49] Operation: 78-29=49
Exploring Operation: 78-68=10, Resulting Numbers: [84, 29, 10]
Generated Node #0,3: 65:[84, 29, 10] Operation: 78-68=10
Exploring Operation: 84-78=6, Resulting Numbers: [68, 29, 6]
Generated Node #0,4: 65:[68, 29, 6] Operation: 84-78=6
Moving to Node #0,4
Current State: 65:[68, 29, 6], Operations: ['84-78=6']
Exploring Operation: 68-6=62, Resulting Numbers: [29, 62]
Generated Node #0,4,0: 65:[29, 62] Operation: 68-6=62
Exploring Operation: 68-29=39, Resulting Numbers: [6, 39]
Generated Node #0,4,1: 65:[6, 39] Operation: 68-29=39
Exploring Operation: 29-6=23, Resulting Numbers: [68, 23]
Generated Node #0,4,2: 65:[68, 23] Operation: 29-6=23
Exploring Operation: 68+6=74, Resulting Numbers: [29, 74]
Generated Node #0,4,3: 65:[29, 74] Operation: 68+6=74
Exploring Operation: 29+6=35, Resulting Numbers: [68, 35]
Generated Node #0,4,4: 65:[68, 35] Operation: 29+6=35
Moving to Node #0,0
Current State: 65:[78, 68, 55], Operations: ['84-29=55']
Exploring Operation: 68-55=13, Resulting Numbers: [78, 13]
Generated Node #0,0,0: 65:[78, 13] Operation: 68-55=13
Exploring Operation: 68+55=123, Resulting Numbers: [78, 123]
Generated Node #0,0,1: 65:[78, 123] Operation: 68+55=123
Exploring Operation: 78+55=133, Resulting Numbers: [68, 133]
Generated Node #0,0,2: 65:[68, 133] Operation: 78+55=133
Exploring Operation: 78-55=23, Resulting Numbers: [68, 23]
Generated Node #0,0,3: 65:[68, 23] Operation: 78-55=23
Exploring Operation: 78-68=10, Resulting Numbers: [55, 10]
Generated Node #0,0,4: 65:[55, 10] Operation: 78-68=10
Moving to Node #0,1
Current State: 65:[78, 29, 16], Operations: ['84-68=16']
Exploring Operation: 78+29=107, Resulting Numbers: [16, 107]
Generated Node #0,1,0: 65:[16, 107] Operation: 78+29=107
Exploring Operation: 78-16=62, Resulting Numbers: [29, 62]
Generated Node #0,1,1: 65:[29, 62] Operation: 78-16=62
Exploring Operation: 29-16=13, Resulting Numbers: [78, 13]
Generated Node #0,1,2: 65:[78, 13] Operation: 29-16=13
Exploring Operation: 78-29=49, Resulting Numbers: [16, 49]
Generated Node #0,1,3: 65:[16, 49] Operation: 78-29=49
Exploring Operation: 29+16=45, Resulting Numbers: [78, 45]
Generated Node #0,1,4: 65:[78, 45] Operation: 29+16=45
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[78, 13], Operations: ['84-68=16', '29-16=13']
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[78, 84, 68, 29], Operations: []
Exploring Operation: 84-68=16, Resulting Numbers: [78, 29, 16]
Generated Node #0,1: 65:[78, 29, 16] Operation: 84-68=16
Moving to Node #0,1
Current State: 65:[78, 29, 16], Operations: ['84-68=16']
Exploring Operation: 29-16=13, Resulting Numbers: [78, 13]
Generated Node #0,1,2: 65:[78, 13] Operation: 29-16=13
Moving to Node #0,1,2
Current State: 65:[78, 13], Operations: ['84-68=16', '29-16=13']
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
77,
65,
52,
26
] | 64 | [
"77+65=142",
"52+26=78",
"142-78=64"
] | Current State: 64:[77, 65, 52, 26], Operations: []
Exploring Operation: 77+65=142, Resulting Numbers: [52, 26, 142]
Generated Node #2: [52, 26, 142] from Operation: 77+65=142
Current State: 64:[52, 26, 142], Operations: ['77+65=142']
Exploring Operation: 52+26=78, Resulting Numbers: [142, 78]
Generated Node #3: [142, 78] from Operation: 52+26=78
Current State: 64:[142, 78], Operations: ['77+65=142', '52+26=78']
Exploring Operation: 142-78=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[77, 65, 52, 26], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [52, 26, 12]
Generated Node #0,0: 64:[52, 26, 12] Operation: 77-65=12
Exploring Operation: 77-52=25, Resulting Numbers: [65, 26, 25]
Generated Node #0,1: 64:[65, 26, 25] Operation: 77-52=25
Exploring Operation: 52-26=26, Resulting Numbers: [77, 65, 26]
Generated Node #0,2: 64:[77, 65, 26] Operation: 52-26=26
Exploring Operation: 52/26=2, Resulting Numbers: [77, 65, 2]
Generated Node #0,3: 64:[77, 65, 2] Operation: 52/26=2
Moving to Node #0,1
Current State: 64:[65, 26, 25], Operations: ['77-52=25']
Exploring Operation: 65-26=39, Resulting Numbers: [25, 39]
Generated Node #0,1,0: 64:[25, 39] Operation: 65-26=39
Exploring Operation: 65-25=40, Resulting Numbers: [26, 40]
Generated Node #0,1,1: 64:[26, 40] Operation: 65-25=40
Exploring Operation: 26-25=1, Resulting Numbers: [65, 1]
Generated Node #0,1,2: 64:[65, 1] Operation: 26-25=1
Exploring Operation: 26+25=51, Resulting Numbers: [65, 51]
Generated Node #0,1,3: 64:[65, 51] Operation: 26+25=51
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[65, 1], Operations: ['77-52=25', '26-25=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[77, 65, 52, 26], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [65, 26, 25]
Generated Node #0,1: 64:[65, 26, 25] Operation: 77-52=25
Moving to Node #0,1
Current State: 64:[65, 26, 25], Operations: ['77-52=25']
Exploring Operation: 26-25=1, Resulting Numbers: [65, 1]
Generated Node #0,1,2: 64:[65, 1] Operation: 26-25=1
Moving to Node #0,1,2
Current State: 64:[65, 1], Operations: ['77-52=25', '26-25=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
98,
19,
41,
98
] | 61 | [
"98/98=1",
"19+41=60",
"1+60=61"
] | Current State: 61:[98, 19, 41, 98], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [19, 41, 1]
Generated Node #2: [19, 41, 1] from Operation: 98/98=1
Current State: 61:[19, 41, 1], Operations: ['98/98=1']
Exploring Operation: 19+41=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 19+41=60
Current State: 61:[1, 60], Operations: ['98/98=1', '19+41=60']
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[98, 19, 41, 98], Operations: []
Exploring Operation: 98-41=57, Resulting Numbers: [19, 98, 57]
Generated Node #0,0: 61:[19, 98, 57] Operation: 98-41=57
Exploring Operation: 98-19=79, Resulting Numbers: [98, 41, 79]
Generated Node #0,1: 61:[98, 41, 79] Operation: 98-19=79
Exploring Operation: 19+41=60, Resulting Numbers: [98, 98, 60]
Generated Node #0,2: 61:[98, 98, 60] Operation: 19+41=60
Exploring Operation: 98-19=79, Resulting Numbers: [41, 98, 79]
Generated Node #0,3: 61:[41, 98, 79] Operation: 98-19=79
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[98, 41, 79], Operations: ['98-19=79']
Exploring Operation: 98-41=57, Resulting Numbers: [79, 57]
Generated Node #0,1,0: 61:[79, 57] Operation: 98-41=57
Exploring Operation: 98+41=139, Resulting Numbers: [79, 139]
Generated Node #0,1,1: 61:[79, 139] Operation: 98+41=139
Exploring Operation: 98-79=19, Resulting Numbers: [41, 19]
Generated Node #0,1,2: 61:[41, 19] Operation: 98-79=19
Exploring Operation: 79-41=38, Resulting Numbers: [98, 38]
Generated Node #0,1,3: 61:[98, 38] Operation: 79-41=38
Moving to Node #0,1,0
Current State: 61:[79, 57], Operations: ['98-19=79', '98-41=57']
Exploring Operation: 79+57=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Exploring Operation: 79*57=4503, Resulting Numbers: [4503]
4503,61 unequal: No Solution
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[98, 38], Operations: ['98-19=79', '79-41=38']
Exploring Operation: 98*38=3724, Resulting Numbers: [3724]
3724,61 unequal: No Solution
Exploring Operation: 98-38=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 98+38=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[41, 19], Operations: ['98-19=79', '98-79=19']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,61 unequal: No Solution
Exploring Operation: 41+19=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 41*19=779, Resulting Numbers: [779]
779,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[79, 139], Operations: ['98-19=79', '98+41=139']
Exploring Operation: 139-79=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 79*139=10981, Resulting Numbers: [10981]
10981,61 unequal: No Solution
Exploring Operation: 79+139=218, Resulting Numbers: [218]
218,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[98, 98, 60], Operations: ['19+41=60']
Exploring Operation: 98/98=1, Resulting Numbers: [60, 1]
Generated Node #0,2,0: 61:[60, 1] Operation: 98/98=1
Exploring Operation: 98-60=38, Resulting Numbers: [98, 38]
Generated Node #0,2,1: 61:[98, 38] Operation: 98-60=38
Exploring Operation: 98-98=0, Resulting Numbers: [60, 0]
Generated Node #0,2,2: 61:[60, 0] Operation: 98-98=0
Exploring Operation: 98-60=38, Resulting Numbers: [98, 38]
Generated Node #0,2,3: 61:[98, 38] Operation: 98-60=38
Moving to Node #0,2,1
Current State: 61:[98, 38], Operations: ['19+41=60', '98-60=38']
Exploring Operation: 98-38=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 98*38=3724, Resulting Numbers: [3724]
3724,61 unequal: No Solution
Exploring Operation: 98+38=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[98, 38], Operations: ['19+41=60', '98-60=38']
Exploring Operation: 98+38=136, Resulting Numbers: [136]
136,61 unequal: No Solution
Exploring Operation: 98-38=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 98*38=3724, Resulting Numbers: [3724]
3724,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[60, 1], Operations: ['19+41=60', '98/98=1']
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[98, 19, 41, 98], Operations: []
Exploring Operation: 19+41=60, Resulting Numbers: [98, 98, 60]
Generated Node #0,2: 61:[98, 98, 60] Operation: 19+41=60
Moving to Node #0,2
Current State: 61:[98, 98, 60], Operations: ['19+41=60']
Exploring Operation: 98/98=1, Resulting Numbers: [60, 1]
Generated Node #0,2,0: 61:[60, 1] Operation: 98/98=1
Moving to Node #0,2,0
Current State: 61:[60, 1], Operations: ['19+41=60', '98/98=1']
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
59,
76,
61,
36
] | 74 | [
"61-59=2",
"76/2=38",
"36+38=74"
] | Current State: 74:[59, 76, 61, 36], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [76, 36, 2]
Generated Node #2: [76, 36, 2] from Operation: 61-59=2
Current State: 74:[76, 36, 2], Operations: ['61-59=2']
Exploring Operation: 76/2=38, Resulting Numbers: [36, 38]
Generated Node #3: [36, 38] from Operation: 76/2=38
Current State: 74:[36, 38], Operations: ['61-59=2', '76/2=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[59, 76, 61, 36], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [76, 36, 2]
Generated Node #0,0: 74:[76, 36, 2] Operation: 61-59=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[76, 36, 2], Operations: ['61-59=2']
Exploring Operation: 76-2=74, Resulting Numbers: [36, 74]
Generated Node #0,0,0: 74:[36, 74] Operation: 76-2=74
Moving to Node #0,0,0
Current State: 74:[36, 74], Operations: ['61-59=2', '76-2=74']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,74 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 |
[
2,
54,
96,
45
] | 89 | [
"54-2=52",
"96+45=141",
"141-52=89"
] | Current State: 89:[2, 54, 96, 45], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [96, 45, 52]
Generated Node #2: [96, 45, 52] from Operation: 54-2=52
Current State: 89:[96, 45, 52], Operations: ['54-2=52']
Exploring Operation: 96+45=141, Resulting Numbers: [52, 141]
Generated Node #3: [52, 141] from Operation: 96+45=141
Current State: 89:[52, 141], Operations: ['54-2=52', '96+45=141']
Exploring Operation: 141-52=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[2, 54, 96, 45], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [54, 96, 90]
Generated Node #0,0: 89:[54, 96, 90] Operation: 2*45=90
Exploring Operation: 2*54=108, Resulting Numbers: [96, 45, 108]
Generated Node #0,1: 89:[96, 45, 108] Operation: 2*54=108
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[54, 96, 90], Operations: ['2*45=90']
Exploring Operation: 96-54=42, Resulting Numbers: [90, 42]
Generated Node #0,0,0: 89:[90, 42] Operation: 96-54=42
Exploring Operation: 90-54=36, Resulting Numbers: [96, 36]
Generated Node #0,0,1: 89:[96, 36] Operation: 90-54=36
Moving to Node #0,0,0
Current State: 89:[90, 42], Operations: ['2*45=90', '96-54=42']
Exploring Operation: 90+42=132, Resulting Numbers: [132]
132,89 unequal: No Solution
Exploring Operation: 90-42=48, Resulting Numbers: [48]
48,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[96, 36], Operations: ['2*45=90', '90-54=36']
Exploring Operation: 96-36=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 96+36=132, Resulting Numbers: [132]
132,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[96, 45, 108], Operations: ['2*54=108']
Exploring Operation: 108-45=63, Resulting Numbers: [96, 63]
Generated Node #0,1,0: 89:[96, 63] Operation: 108-45=63
Exploring Operation: 96-45=51, Resulting Numbers: [108, 51]
Generated Node #0,1,1: 89:[108, 51] Operation: 96-45=51
Moving to Node #0,1,0
Current State: 89:[96, 63], Operations: ['2*54=108', '108-45=63']
Exploring Operation: 96-63=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 96+63=159, Resulting Numbers: [159]
159,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[108, 51], Operations: ['2*54=108', '96-45=51']
Exploring Operation: 108+51=159, Resulting Numbers: [159]
159,89 unequal: No Solution
Exploring Operation: 108-51=57, Resulting Numbers: [57]
57,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
88,
78,
37,
44
] | 82 | [
"88/44=2",
"78-37=41",
"2*41=82"
] | Current State: 82:[88, 78, 37, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [78, 37, 2]
Generated Node #2: [78, 37, 2] from Operation: 88/44=2
Current State: 82:[78, 37, 2], Operations: ['88/44=2']
Exploring Operation: 78-37=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 78-37=41
Current State: 82:[2, 41], Operations: ['88/44=2', '78-37=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[88, 78, 37, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [78, 37, 2]
Generated Node #0,0: 82:[78, 37, 2] Operation: 88/44=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[78, 37, 2], Operations: ['88/44=2']
Exploring Operation: 78-37=41, Resulting Numbers: [2, 41]
Generated Node #0,0,0: 82:[2, 41] Operation: 78-37=41
Moving to Node #0,0,0
Current State: 82:[2, 41], Operations: ['88/44=2', '78-37=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[88, 78, 37, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [78, 37, 2]
Generated Node #0,0: 82:[78, 37, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 82:[78, 37, 2], Operations: ['88/44=2']
Exploring Operation: 78-37=41, Resulting Numbers: [2, 41]
Generated Node #0,0,0: 82:[2, 41] Operation: 78-37=41
Moving to Node #0,0,0
Current State: 82:[2, 41], Operations: ['88/44=2', '78-37=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
31,
64,
43,
32
] | 43 | [
"64-31=33",
"33-32=1",
"43*1=43"
] | Current State: 43:[31, 64, 43, 32], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [43, 32, 33]
Generated Node #2: [43, 32, 33] from Operation: 64-31=33
Current State: 43:[43, 32, 33], Operations: ['64-31=33']
Exploring Operation: 33-32=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 33-32=1
Current State: 43:[43, 1], Operations: ['64-31=33', '33-32=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[31, 64, 43, 32], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [43, 32, 33]
Generated Node #0,0: 43:[43, 32, 33] Operation: 64-31=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[43, 32, 33], Operations: ['64-31=33']
Exploring Operation: 32+33=65, Resulting Numbers: [43, 65]
Generated Node #0,0,0: 43:[43, 65] Operation: 32+33=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[43, 65], Operations: ['64-31=33', '32+33=65']
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
46,
10,
60,
52
] | 34 | [
"60-52=8",
"10*8=80",
"80-46=34"
] | Current State: 34:[46, 10, 60, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [46, 10, 8]
Generated Node #2: [46, 10, 8] from Operation: 60-52=8
Current State: 34:[46, 10, 8], Operations: ['60-52=8']
Exploring Operation: 10*8=80, Resulting Numbers: [46, 80]
Generated Node #3: [46, 80] from Operation: 10*8=80
Current State: 34:[46, 80], Operations: ['60-52=8', '10*8=80']
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[46, 10, 60, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [46, 10, 8]
Generated Node #0,0: 34:[46, 10, 8] Operation: 60-52=8
Exploring Operation: 60/10=6, Resulting Numbers: [46, 52, 6]
Generated Node #0,1: 34:[46, 52, 6] Operation: 60/10=6
Exploring Operation: 60-46=14, Resulting Numbers: [10, 52, 14]
Generated Node #0,2: 34:[10, 52, 14] Operation: 60-46=14
Moving to Node #0,0
Current State: 34:[46, 10, 8], Operations: ['60-52=8']
Exploring Operation: 10-8=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 34:[46, 2] Operation: 10-8=2
Exploring Operation: 46-8=38, Resulting Numbers: [10, 38]
Generated Node #0,0,1: 34:[10, 38] Operation: 46-8=38
Exploring Operation: 46-10=36, Resulting Numbers: [8, 36]
Generated Node #0,0,2: 34:[8, 36] Operation: 46-10=36
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 34:[8, 36], Operations: ['60-52=8', '46-10=36']
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 8*36=288, Resulting Numbers: [288]
288,34 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[10, 38], Operations: ['60-52=8', '46-8=38']
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,34 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[46, 2], Operations: ['60-52=8', '10-8=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,34 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,34 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:[10, 52, 14], Operations: ['60-46=14']
Exploring Operation: 52-14=38, Resulting Numbers: [10, 38]
Generated Node #0,2,0: 34:[10, 38] Operation: 52-14=38
Exploring Operation: 14-10=4, Resulting Numbers: [52, 4]
Generated Node #0,2,1: 34:[52, 4] Operation: 14-10=4
Exploring Operation: 52-10=42, Resulting Numbers: [14, 42]
Generated Node #0,2,2: 34:[14, 42] Operation: 52-10=42
Moving to Node #0,1
Current State: 34:[46, 52, 6], Operations: ['60/10=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46, 46]
Generated Node #0,1,0: 34:[46, 46] Operation: 52-6=46
Exploring Operation: 52-46=6, Resulting Numbers: [6, 6]
Generated Node #0,1,1: 34:[6, 6] Operation: 52-46=6
Exploring Operation: 46-6=40, Resulting Numbers: [52, 40]
Generated Node #0,1,2: 34:[52, 40] Operation: 46-6=40
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[6, 6], Operations: ['60/10=6', '52-46=6']
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,34 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,34 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:[46, 46], Operations: ['60/10=6', '52-6=46']
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,34 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:[52, 40], Operations: ['60/10=6', '46-6=40']
Exploring Operation: 52+40=92, Resulting Numbers: [92]
92,34 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 52*40=2080, Resulting Numbers: [2080]
2080,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 34:[10, 38], Operations: ['60-46=14', '52-14=38']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,34 unequal: No Solution
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[14, 42], Operations: ['60-46=14', '52-10=42']
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 14+42=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[52, 4], Operations: ['60-46=14', '14-10=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,34 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
13,
14,
39,
43
] | 69 | [
"43-39=4",
"14*4=56",
"13+56=69"
] | Current State: 69:[13, 14, 39, 43], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [13, 14, 4]
Generated Node #2: [13, 14, 4] from Operation: 43-39=4
Current State: 69:[13, 14, 4], Operations: ['43-39=4']
Exploring Operation: 14*4=56, Resulting Numbers: [13, 56]
Generated Node #3: [13, 56] from Operation: 14*4=56
Current State: 69:[13, 56], Operations: ['43-39=4', '14*4=56']
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[13, 14, 39, 43], Operations: []
Exploring Operation: 39-14=25, Resulting Numbers: [13, 43, 25]
Generated Node #0,0: 69:[13, 43, 25] Operation: 39-14=25
Exploring Operation: 43-39=4, Resulting Numbers: [13, 14, 4]
Generated Node #0,1: 69:[13, 14, 4] Operation: 43-39=4
Exploring Operation: 39/13=3, Resulting Numbers: [14, 43, 3]
Generated Node #0,2: 69:[14, 43, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [14, 43, 26]
Generated Node #0,3: 69:[14, 43, 26] Operation: 39-13=26
Exploring Operation: 43-13=30, Resulting Numbers: [14, 39, 30]
Generated Node #0,4: 69:[14, 39, 30] Operation: 43-13=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[13, 14, 4], Operations: ['43-39=4']
Exploring Operation: 13+4=17, Resulting Numbers: [14, 17]
Generated Node #0,1,0: 69:[14, 17] Operation: 13+4=17
Exploring Operation: 14-13=1, Resulting Numbers: [4, 1]
Generated Node #0,1,1: 69:[4, 1] Operation: 14-13=1
Exploring Operation: 13-4=9, Resulting Numbers: [14, 9]
Generated Node #0,1,2: 69:[14, 9] Operation: 13-4=9
Exploring Operation: 13+14=27, Resulting Numbers: [4, 27]
Generated Node #0,1,3: 69:[4, 27] Operation: 13+14=27
Exploring Operation: 14+4=18, Resulting Numbers: [13, 18]
Generated Node #0,1,4: 69:[13, 18] Operation: 14+4=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 69:[4, 1], Operations: ['43-39=4', '14-13=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 69:[4, 27], Operations: ['43-39=4', '13+14=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[14, 17], Operations: ['43-39=4', '13+4=17']
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,69 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 69:[14, 9], Operations: ['43-39=4', '13-4=9']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 69:[13, 18], Operations: ['43-39=4', '14+4=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 13*18=234, Resulting Numbers: [234]
234,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[14, 43, 3], Operations: ['39/13=3']
Exploring Operation: 43-3=40, Resulting Numbers: [14, 40]
Generated Node #0,2,0: 69:[14, 40] Operation: 43-3=40
Exploring Operation: 14+3=17, Resulting Numbers: [43, 17]
Generated Node #0,2,1: 69:[43, 17] Operation: 14+3=17
Exploring Operation: 14-3=11, Resulting Numbers: [43, 11]
Generated Node #0,2,2: 69:[43, 11] Operation: 14-3=11
Exploring Operation: 43-14=29, Resulting Numbers: [3, 29]
Generated Node #0,2,3: 69:[3, 29] Operation: 43-14=29
Exploring Operation: 14+43=57, Resulting Numbers: [3, 57]
Generated Node #0,2,4: 69:[3, 57] Operation: 14+43=57
Moving to Node #0,2,3
Current State: 69:[3, 29], Operations: ['39/13=3', '43-14=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,69 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Moving to Node #0,2,4
Current State: 69:[3, 57], Operations: ['39/13=3', '14+43=57']
Exploring Operation: 3*57=171, Resulting Numbers: [171]
171,69 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,69 unequal: No Solution
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[14, 40], Operations: ['39/13=3', '43-3=40']
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,69 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 14*40=560, Resulting Numbers: [560]
560,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[43, 17], Operations: ['39/13=3', '14+3=17']
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,69 unequal: No Solution
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,69 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[43, 11], Operations: ['39/13=3', '14-3=11']
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,69 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[13, 43, 25], Operations: ['39-14=25']
Exploring Operation: 13+43=56, Resulting Numbers: [25, 56]
Generated Node #0,0,0: 69:[25, 56] Operation: 13+43=56
Exploring Operation: 43+25=68, Resulting Numbers: [13, 68]
Generated Node #0,0,1: 69:[13, 68] Operation: 43+25=68
Exploring Operation: 43-13=30, Resulting Numbers: [25, 30]
Generated Node #0,0,2: 69:[25, 30] Operation: 43-13=30
Exploring Operation: 25-13=12, Resulting Numbers: [43, 12]
Generated Node #0,0,3: 69:[43, 12] Operation: 25-13=12
Exploring Operation: 43-25=18, Resulting Numbers: [13, 18]
Generated Node #0,0,4: 69:[13, 18] Operation: 43-25=18
Moving to Node #0,0,2
Current State: 69:[25, 30], Operations: ['39-14=25', '43-13=30']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 25*30=750, Resulting Numbers: [750]
750,69 unequal: No Solution
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[13, 68], Operations: ['39-14=25', '43+25=68']
Exploring Operation: 13+68=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 13*68=884, Resulting Numbers: [884]
884,69 unequal: No Solution
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[25, 56], Operations: ['39-14=25', '13+43=56']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,69 unequal: No Solution
Exploring Operation: 25*56=1400, Resulting Numbers: [1400]
1400,69 unequal: No Solution
Moving to Node #0,0,4
Current State: 69:[13, 18], Operations: ['39-14=25', '43-25=18']
Exploring Operation: 13*18=234, Resulting Numbers: [234]
234,69 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[43, 12], Operations: ['39-14=25', '25-13=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 43*12=516, Resulting Numbers: [516]
516,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[14, 43, 26], Operations: ['39-13=26']
Exploring Operation: 14+43=57, Resulting Numbers: [26, 57]
Generated Node #0,3,0: 69:[26, 57] Operation: 14+43=57
Exploring Operation: 43-26=17, Resulting Numbers: [14, 17]
Generated Node #0,3,1: 69:[14, 17] Operation: 43-26=17
Exploring Operation: 43-14=29, Resulting Numbers: [26, 29]
Generated Node #0,3,2: 69:[26, 29] Operation: 43-14=29
Exploring Operation: 26-14=12, Resulting Numbers: [43, 12]
Generated Node #0,3,3: 69:[43, 12] Operation: 26-14=12
Exploring Operation: 43+26=69, Resulting Numbers: [14, 69]
Generated Node #0,3,4: 69:[14, 69] Operation: 43+26=69
Moving to Node #0,3,2
Current State: 69:[26, 29], Operations: ['39-13=26', '43-14=29']
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,69 unequal: No Solution
Moving to Node #0,3,4
Current State: 69:[14, 69], Operations: ['39-13=26', '43+26=69']
Exploring Operation: 14*69=966, Resulting Numbers: [966]
966,69 unequal: No Solution
Exploring Operation: 14+69=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[26, 57], Operations: ['39-13=26', '14+43=57']
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 26*57=1482, Resulting Numbers: [1482]
1482,69 unequal: No Solution
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[14, 17], Operations: ['39-13=26', '43-26=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[43, 12], Operations: ['39-13=26', '26-14=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 43*12=516, Resulting Numbers: [516]
516,69 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[14, 39, 30], Operations: ['43-13=30']
Exploring Operation: 39+30=69, Resulting Numbers: [14, 69]
Generated Node #0,4,0: 69:[14, 69] Operation: 39+30=69
Exploring Operation: 39-30=9, Resulting Numbers: [14, 9]
Generated Node #0,4,1: 69:[14, 9] Operation: 39-30=9
Exploring Operation: 30-14=16, Resulting Numbers: [39, 16]
Generated Node #0,4,2: 69:[39, 16] Operation: 30-14=16
Exploring Operation: 39-14=25, Resulting Numbers: [30, 25]
Generated Node #0,4,3: 69:[30, 25] Operation: 39-14=25
Exploring Operation: 14+39=53, Resulting Numbers: [30, 53]
Generated Node #0,4,4: 69:[30, 53] Operation: 14+39=53
Moving to Node #0,4,0
Current State: 69:[14, 69], Operations: ['43-13=30', '39+30=69']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 14+69=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Exploring Operation: 14*69=966, Resulting Numbers: [966]
966,69 unequal: No Solution
Moving to Node #0,4,3
Current State: 69:[30, 25], Operations: ['43-13=30', '39-14=25']
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,69 unequal: No Solution
Moving to Node #0,4,1
Current State: 69:[14, 9], Operations: ['43-13=30', '39-30=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,69 unequal: No Solution
Moving to Node #0,4,2
Current State: 69:[39, 16], Operations: ['43-13=30', '30-14=16']
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,69 unequal: No Solution
Moving to Node #0,4,4
Current State: 69:[30, 53], Operations: ['43-13=30', '14+39=53']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Exploring Operation: 30*53=1590, Resulting Numbers: [1590]
1590,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
60,
55,
22,
7
] | 39 | [
"60+55=115",
"22*7=154",
"154-115=39"
] | Current State: 39:[60, 55, 22, 7], Operations: []
Exploring Operation: 60+55=115, Resulting Numbers: [22, 7, 115]
Generated Node #2: [22, 7, 115] from Operation: 60+55=115
Current State: 39:[22, 7, 115], Operations: ['60+55=115']
Exploring Operation: 22*7=154, Resulting Numbers: [115, 154]
Generated Node #3: [115, 154] from Operation: 22*7=154
Current State: 39:[115, 154], Operations: ['60+55=115', '22*7=154']
Exploring Operation: 154-115=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[60, 55, 22, 7], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [22, 7, 5]
Generated Node #0,0: 39:[22, 7, 5] Operation: 60-55=5
Moving to Node #0,0
Current State: 39:[22, 7, 5], Operations: ['60-55=5']
Exploring Operation: 22-7=15, Resulting Numbers: [5, 15]
Generated Node #0,0,0: 39:[5, 15] Operation: 22-7=15
Moving to Node #0,0,0
Current State: 39:[5, 15], Operations: ['60-55=5', '22-7=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
21,
4,
91,
95
] | 67 | [
"21+91=112",
"112/4=28",
"95-28=67"
] | Current State: 67:[21, 4, 91, 95], Operations: []
Exploring Operation: 21+91=112, Resulting Numbers: [4, 95, 112]
Generated Node #2: [4, 95, 112] from Operation: 21+91=112
Current State: 67:[4, 95, 112], Operations: ['21+91=112']
Exploring Operation: 112/4=28, Resulting Numbers: [95, 28]
Generated Node #3: [95, 28] from Operation: 112/4=28
Current State: 67:[95, 28], Operations: ['21+91=112', '112/4=28']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[21, 4, 91, 95], Operations: []
Exploring Operation: 21*4=84, Resulting Numbers: [91, 95, 84]
Generated Node #0,0: 67:[91, 95, 84] Operation: 21*4=84
Moving to Node #0,0
Current State: 67:[91, 95, 84], Operations: ['21*4=84']
Exploring Operation: 95-91=4, Resulting Numbers: [84, 4]
Generated Node #0,0,0: 67:[84, 4] Operation: 95-91=4
Moving to Node #0,0,0
Current State: 67:[84, 4], Operations: ['21*4=84', '95-91=4']
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,67 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
44,
95,
88
] | 86 | [
"95-7=88",
"88/44=2",
"88-2=86"
] | Current State: 86:[7, 44, 95, 88], Operations: []
Exploring Operation: 95-7=88, Resulting Numbers: [44, 88, 88]
Generated Node #2: [44, 88, 88] from Operation: 95-7=88
Current State: 86:[44, 88, 88], Operations: ['95-7=88']
Exploring Operation: 88/44=2, Resulting Numbers: [2]
2,86 equal: Goal Reached
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[7, 44, 95, 88], Operations: []
Exploring Operation: 88-7=81, Resulting Numbers: [44, 95, 81]
Generated Node #0,0: 86:[44, 95, 81] Operation: 88-7=81
Exploring Operation: 95-44=51, Resulting Numbers: [7, 88, 51]
Generated Node #0,1: 86:[7, 88, 51] Operation: 95-44=51
Exploring Operation: 95-7=88, Resulting Numbers: [44, 88, 88]
Generated Node #0,2: 86:[44, 88, 88] Operation: 95-7=88
Exploring Operation: 88/44=2, Resulting Numbers: [7, 95, 2]
Generated Node #0,3: 86:[7, 95, 2] Operation: 88/44=2
Exploring Operation: 95-88=7, Resulting Numbers: [7, 44, 7]
Generated Node #0,4: 86:[7, 44, 7] Operation: 95-88=7
Moving to Node #0,2
Current State: 86:[44, 88, 88], Operations: ['95-7=88']
Exploring Operation: 88-44=44, Resulting Numbers: [88, 44]
Generated Node #0,2,0: 86:[88, 44] Operation: 88-44=44
Exploring Operation: 88-44=44, Resulting Numbers: [88, 44]
Generated Node #0,2,1: 86:[88, 44] Operation: 88-44=44
Exploring Operation: 88/44=2, Resulting Numbers: [88, 2]
Generated Node #0,2,2: 86:[88, 2] Operation: 88/44=2
Exploring Operation: 88/88=1, Resulting Numbers: [44, 1]
Generated Node #0,2,3: 86:[44, 1] Operation: 88/88=1
Exploring Operation: 88/44=2, Resulting Numbers: [88, 2]
Generated Node #0,2,4: 86:[88, 2] Operation: 88/44=2
Moving to Node #0,4
Current State: 86:[7, 44, 7], Operations: ['95-88=7']
Exploring Operation: 7-7=0, Resulting Numbers: [44, 0]
Generated Node #0,4,0: 86:[44, 0] Operation: 7-7=0
Exploring Operation: 7*7=49, Resulting Numbers: [44, 49]
Generated Node #0,4,1: 86:[44, 49] Operation: 7*7=49
Exploring Operation: 44-7=37, Resulting Numbers: [7, 37]
Generated Node #0,4,2: 86:[7, 37] Operation: 44-7=37
Exploring Operation: 7/7=1, Resulting Numbers: [44, 1]
Generated Node #0,4,3: 86:[44, 1] Operation: 7/7=1
Exploring Operation: 44-7=37, Resulting Numbers: [7, 37]
Generated Node #0,4,4: 86:[7, 37] Operation: 44-7=37
Moving to Node #0,3
Current State: 86:[7, 95, 2], Operations: ['88/44=2']
Exploring Operation: 7+95=102, Resulting Numbers: [2, 102]
Generated Node #0,3,0: 86:[2, 102] Operation: 7+95=102
Exploring Operation: 7+2=9, Resulting Numbers: [95, 9]
Generated Node #0,3,1: 86:[95, 9] Operation: 7+2=9
Exploring Operation: 95-7=88, Resulting Numbers: [2, 88]
Generated Node #0,3,2: 86:[2, 88] Operation: 95-7=88
Exploring Operation: 95-2=93, Resulting Numbers: [7, 93]
Generated Node #0,3,3: 86:[7, 93] Operation: 95-2=93
Exploring Operation: 7-2=5, Resulting Numbers: [95, 5]
Generated Node #0,3,4: 86:[95, 5] Operation: 7-2=5
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 86:[2, 88], Operations: ['88/44=2', '95-7=88']
Exploring Operation: 2*88=176, Resulting Numbers: [176]
176,86 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,86 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[7, 44, 95, 88], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [7, 95, 2]
Generated Node #0,3: 86:[7, 95, 2] Operation: 88/44=2
Moving to Node #0,3
Current State: 86:[7, 95, 2], Operations: ['88/44=2']
Exploring Operation: 95-7=88, Resulting Numbers: [2, 88]
Generated Node #0,3,2: 86:[2, 88] Operation: 95-7=88
Moving to Node #0,3,2
Current State: 86:[2, 88], Operations: ['88/44=2', '95-7=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
80,
57,
61,
69
] | 47 | [
"69-61=8",
"80/8=10",
"57-10=47"
] | Current State: 47:[80, 57, 61, 69], Operations: []
Exploring Operation: 69-61=8, Resulting Numbers: [80, 57, 8]
Generated Node #2: [80, 57, 8] from Operation: 69-61=8
Current State: 47:[80, 57, 8], Operations: ['69-61=8']
Exploring Operation: 80/8=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 80/8=10
Current State: 47:[57, 10], Operations: ['69-61=8', '80/8=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[80, 57, 61, 69], Operations: []
Exploring Operation: 80-57=23, Resulting Numbers: [61, 69, 23]
Generated Node #0,0: 47:[61, 69, 23] Operation: 80-57=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[61, 69, 23], Operations: ['80-57=23']
Exploring Operation: 69-23=46, Resulting Numbers: [61, 46]
Generated Node #0,0,0: 47:[61, 46] Operation: 69-23=46
Moving to Node #0,0,0
Current State: 47:[61, 46], Operations: ['80-57=23', '69-23=46']
Exploring Operation: 61-46=15, Resulting Numbers: [15]
15,47 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 |
[
81,
16,
17,
19
] | 95 | [
"81+16=97",
"19-17=2",
"97-2=95"
] | Current State: 95:[81, 16, 17, 19], Operations: []
Exploring Operation: 81+16=97, Resulting Numbers: [17, 19, 97]
Generated Node #2: [17, 19, 97] from Operation: 81+16=97
Current State: 95:[17, 19, 97], Operations: ['81+16=97']
Exploring Operation: 19-17=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 19-17=2
Current State: 95:[97, 2], Operations: ['81+16=97', '19-17=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[81, 16, 17, 19], Operations: []
Exploring Operation: 81+17=98, Resulting Numbers: [16, 19, 98]
Generated Node #0,0: 95:[16, 19, 98] Operation: 81+17=98
Exploring Operation: 81+19=100, Resulting Numbers: [16, 17, 100]
Generated Node #0,1: 95:[16, 17, 100] Operation: 81+19=100
Exploring Operation: 81+16=97, Resulting Numbers: [17, 19, 97]
Generated Node #0,2: 95:[17, 19, 97] Operation: 81+16=97
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[17, 19, 97], Operations: ['81+16=97']
Exploring Operation: 19-17=2, Resulting Numbers: [97, 2]
Generated Node #0,2,0: 95:[97, 2] Operation: 19-17=2
Exploring Operation: 17+19=36, Resulting Numbers: [97, 36]
Generated Node #0,2,1: 95:[97, 36] Operation: 17+19=36
Exploring Operation: 97-17=80, Resulting Numbers: [19, 80]
Generated Node #0,2,2: 95:[19, 80] Operation: 97-17=80
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[97, 2], Operations: ['81+16=97', '19-17=2']
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,95 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[81, 16, 17, 19], Operations: []
Exploring Operation: 81+16=97, Resulting Numbers: [17, 19, 97]
Generated Node #0,2: 95:[17, 19, 97] Operation: 81+16=97
Moving to Node #0,2
Current State: 95:[17, 19, 97], Operations: ['81+16=97']
Exploring Operation: 19-17=2, Resulting Numbers: [97, 2]
Generated Node #0,2,0: 95:[97, 2] Operation: 19-17=2
Moving to Node #0,2,0
Current State: 95:[97, 2], Operations: ['81+16=97', '19-17=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
96,
69,
39,
75
] | 49 | [
"96*39=3744",
"3744-69=3675",
"3675/75=49"
] | Current State: 49:[96, 69, 39, 75], Operations: []
Exploring Operation: 96*39=3744, Resulting Numbers: [69, 75, 3744]
Generated Node #2: [69, 75, 3744] from Operation: 96*39=3744
Current State: 49:[69, 75, 3744], Operations: ['96*39=3744']
Exploring Operation: 3744-69=3675, Resulting Numbers: [75, 3675]
Generated Node #3: [75, 3675] from Operation: 3744-69=3675
Current State: 49:[75, 3675], Operations: ['96*39=3744', '3744-69=3675']
Exploring Operation: 3675/75=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[96, 69, 39, 75], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [39, 75, 27]
Generated Node #0,0: 49:[39, 75, 27] Operation: 96-69=27
Exploring Operation: 96-75=21, Resulting Numbers: [69, 39, 21]
Generated Node #0,1: 49:[69, 39, 21] Operation: 96-75=21
Exploring Operation: 96-39=57, Resulting Numbers: [69, 75, 57]
Generated Node #0,2: 49:[69, 75, 57] Operation: 96-39=57
Moving to Node #0,1
Current State: 49:[69, 39, 21], Operations: ['96-75=21']
Exploring Operation: 39-21=18, Resulting Numbers: [69, 18]
Generated Node #0,1,0: 49:[69, 18] Operation: 39-21=18
Exploring Operation: 69-21=48, Resulting Numbers: [39, 48]
Generated Node #0,1,1: 49:[39, 48] Operation: 69-21=48
Exploring Operation: 39+21=60, Resulting Numbers: [69, 60]
Generated Node #0,1,2: 49:[69, 60] Operation: 39+21=60
Moving to Node #0,2
Current State: 49:[69, 75, 57], Operations: ['96-39=57']
Exploring Operation: 75-69=6, Resulting Numbers: [57, 6]
Generated Node #0,2,0: 49:[57, 6] Operation: 75-69=6
Exploring Operation: 69-57=12, Resulting Numbers: [75, 12]
Generated Node #0,2,1: 49:[75, 12] Operation: 69-57=12
Exploring Operation: 75-57=18, Resulting Numbers: [69, 18]
Generated Node #0,2,2: 49:[69, 18] Operation: 75-57=18
Moving to Node #0,0
Current State: 49:[39, 75, 27], Operations: ['96-69=27']
Exploring Operation: 75-39=36, Resulting Numbers: [27, 36]
Generated Node #0,0,0: 49:[27, 36] Operation: 75-39=36
Exploring Operation: 39-27=12, Resulting Numbers: [75, 12]
Generated Node #0,0,1: 49:[75, 12] Operation: 39-27=12
Exploring Operation: 75-27=48, Resulting Numbers: [39, 48]
Generated Node #0,0,2: 49:[39, 48] Operation: 75-27=48
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[39, 48], Operations: ['96-69=27', '75-27=48']
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 39*48=1872, Resulting Numbers: [1872]
1872,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[75, 12], Operations: ['96-69=27', '39-27=12']
Exploring Operation: 75+12=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 75*12=900, Resulting Numbers: [900]
900,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[27, 36], Operations: ['96-69=27', '75-39=36']
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 27*36=972, Resulting Numbers: [972]
972,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 49:[57, 6], Operations: ['96-39=57', '75-69=6']
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,49 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[39, 48], Operations: ['96-75=21', '69-21=48']
Exploring Operation: 39*48=1872, Resulting Numbers: [1872]
1872,49 unequal: No Solution
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[69, 60], Operations: ['96-75=21', '39+21=60']
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,49 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,49 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[69, 18], Operations: ['96-39=57', '75-57=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[75, 12], Operations: ['96-39=57', '69-57=12']
Exploring Operation: 75*12=900, Resulting Numbers: [900]
900,49 unequal: No Solution
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 75+12=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[69, 18], Operations: ['96-75=21', '39-21=18']
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,49 unequal: No Solution
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
5,
81,
42,
35
] | 83 | [
"81-5=76",
"42-35=7",
"76+7=83"
] | Current State: 83:[5, 81, 42, 35], Operations: []
Exploring Operation: 81-5=76, Resulting Numbers: [42, 35, 76]
Generated Node #2: [42, 35, 76] from Operation: 81-5=76
Current State: 83:[42, 35, 76], Operations: ['81-5=76']
Exploring Operation: 42-35=7, Resulting Numbers: [76, 7]
Generated Node #3: [76, 7] from Operation: 42-35=7
Current State: 83:[76, 7], Operations: ['81-5=76', '42-35=7']
Exploring Operation: 76+7=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[5, 81, 42, 35], Operations: []
Exploring Operation: 5+35=40, Resulting Numbers: [81, 42, 40]
Generated Node #0,0: 83:[81, 42, 40] Operation: 5+35=40
Exploring Operation: 42+35=77, Resulting Numbers: [5, 81, 77]
Generated Node #0,1: 83:[5, 81, 77] Operation: 42+35=77
Exploring Operation: 5+42=47, Resulting Numbers: [81, 35, 47]
Generated Node #0,2: 83:[81, 35, 47] Operation: 5+42=47
Exploring Operation: 5+81=86, Resulting Numbers: [42, 35, 86]
Generated Node #0,3: 83:[42, 35, 86] Operation: 5+81=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[81, 42, 40], Operations: ['5+35=40']
Exploring Operation: 42+40=82, Resulting Numbers: [81, 82]
Generated Node #0,0,0: 83:[81, 82] Operation: 42+40=82
Exploring Operation: 81-40=41, Resulting Numbers: [42, 41]
Generated Node #0,0,1: 83:[42, 41] Operation: 81-40=41
Exploring Operation: 81+40=121, Resulting Numbers: [42, 121]
Generated Node #0,0,2: 83:[42, 121] Operation: 81+40=121
Exploring Operation: 81+42=123, Resulting Numbers: [40, 123]
Generated Node #0,0,3: 83:[40, 123] Operation: 81+42=123
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[81, 82], Operations: ['5+35=40', '42+40=82']
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 81+82=163, Resulting Numbers: [163]
163,83 unequal: No Solution
Exploring Operation: 81*82=6642, Resulting Numbers: [6642]
6642,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[42, 121], Operations: ['5+35=40', '81+40=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 42+121=163, Resulting Numbers: [163]
163,83 unequal: No Solution
Exploring Operation: 42*121=5082, Resulting Numbers: [5082]
5082,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[42, 41], Operations: ['5+35=40', '81-40=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,83 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[5, 81, 42, 35], Operations: []
Exploring Operation: 5+35=40, Resulting Numbers: [81, 42, 40]
Generated Node #0,0: 83:[81, 42, 40] Operation: 5+35=40
Moving to Node #0,0
Current State: 83:[81, 42, 40], Operations: ['5+35=40']
Exploring Operation: 81-40=41, Resulting Numbers: [42, 41]
Generated Node #0,0,1: 83:[42, 41] Operation: 81-40=41
Moving to Node #0,0,1
Current State: 83:[42, 41], Operations: ['5+35=40', '81-40=41']
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
88,
94,
31,
63
] | 87 | [
"94-31=63",
"63/63=1",
"88-1=87"
] | Current State: 87:[88, 94, 31, 63], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [88, 63, 63]
Generated Node #2: [88, 63, 63] from Operation: 94-31=63
Current State: 87:[88, 63, 63], Operations: ['94-31=63']
Exploring Operation: 63/63=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 63/63=1
Current State: 87:[88, 1], Operations: ['94-31=63', '63/63=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[88, 94, 31, 63], Operations: []
Exploring Operation: 94-63=31, Resulting Numbers: [88, 31, 31]
Generated Node #0,0: 87:[88, 31, 31] Operation: 94-63=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[88, 31, 31], Operations: ['94-63=31']
Exploring Operation: 31/31=1, Resulting Numbers: [88, 1]
Generated Node #0,0,0: 87:[88, 1] Operation: 31/31=1
Moving to Node #0,0,0
Current State: 87:[88, 1], Operations: ['94-63=31', '31/31=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[88, 94, 31, 63], Operations: []
Exploring Operation: 94-63=31, Resulting Numbers: [88, 31, 31]
Generated Node #0,0: 87:[88, 31, 31] Operation: 94-63=31
Moving to Node #0,0
Current State: 87:[88, 31, 31], Operations: ['94-63=31']
Exploring Operation: 31/31=1, Resulting Numbers: [88, 1]
Generated Node #0,0,0: 87:[88, 1] Operation: 31/31=1
Moving to Node #0,0,0
Current State: 87:[88, 1], Operations: ['94-63=31', '31/31=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
12,
73,
74,
67
] | 76 | [
"73-67=6",
"12/6=2",
"74+2=76"
] | Current State: 76:[12, 73, 74, 67], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [12, 74, 6]
Generated Node #2: [12, 74, 6] from Operation: 73-67=6
Current State: 76:[12, 74, 6], Operations: ['73-67=6']
Exploring Operation: 12/6=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 12/6=2
Current State: 76:[74, 2], Operations: ['73-67=6', '12/6=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[12, 73, 74, 67], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [12, 74, 6]
Generated Node #0,0: 76:[12, 74, 6] Operation: 73-67=6
Exploring Operation: 74-67=7, Resulting Numbers: [12, 73, 7]
Generated Node #0,1: 76:[12, 73, 7] Operation: 74-67=7
Exploring Operation: 12+67=79, Resulting Numbers: [73, 74, 79]
Generated Node #0,2: 76:[73, 74, 79] Operation: 12+67=79
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[73, 74, 79], Operations: ['12+67=79']
Exploring Operation: 79-74=5, Resulting Numbers: [73, 5]
Generated Node #0,2,0: 76:[73, 5] Operation: 79-74=5
Exploring Operation: 74-73=1, Resulting Numbers: [79, 1]
Generated Node #0,2,1: 76:[79, 1] Operation: 74-73=1
Exploring Operation: 79-73=6, Resulting Numbers: [74, 6]
Generated Node #0,2,2: 76:[74, 6] Operation: 79-73=6
Moving to Node #0,2,0
Current State: 76:[73, 5], Operations: ['12+67=79', '79-74=5']
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,76 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[79, 1], Operations: ['12+67=79', '74-73=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[74, 6], Operations: ['12+67=79', '79-73=6']
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 74*6=444, Resulting Numbers: [444]
444,76 unequal: No Solution
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[12, 74, 6], Operations: ['73-67=6']
Exploring Operation: 12/6=2, Resulting Numbers: [74, 2]
Generated Node #0,0,0: 76:[74, 2] Operation: 12/6=2
Exploring Operation: 12+6=18, Resulting Numbers: [74, 18]
Generated Node #0,0,1: 76:[74, 18] Operation: 12+6=18
Exploring Operation: 12-6=6, Resulting Numbers: [74, 6]
Generated Node #0,0,2: 76:[74, 6] Operation: 12-6=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[74, 2], Operations: ['73-67=6', '12/6=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[12, 73, 74, 67], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [12, 74, 6]
Generated Node #0,0: 76:[12, 74, 6] Operation: 73-67=6
Moving to Node #0,0
Current State: 76:[12, 74, 6], Operations: ['73-67=6']
Exploring Operation: 12/6=2, Resulting Numbers: [74, 2]
Generated Node #0,0,0: 76:[74, 2] Operation: 12/6=2
Moving to Node #0,0,0
Current State: 76:[74, 2], Operations: ['73-67=6', '12/6=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
61,
90,
80,
55
] | 95 | [
"61-55=6",
"90/6=15",
"80+15=95"
] | Current State: 95:[61, 90, 80, 55], Operations: []
Exploring Operation: 61-55=6, Resulting Numbers: [90, 80, 6]
Generated Node #2: [90, 80, 6] from Operation: 61-55=6
Current State: 95:[90, 80, 6], Operations: ['61-55=6']
Exploring Operation: 90/6=15, Resulting Numbers: [80, 15]
Generated Node #3: [80, 15] from Operation: 90/6=15
Current State: 95:[80, 15], Operations: ['61-55=6', '90/6=15']
Exploring Operation: 80+15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[61, 90, 80, 55], Operations: []
Exploring Operation: 61-55=6, Resulting Numbers: [90, 80, 6]
Generated Node #0,0: 95:[90, 80, 6] Operation: 61-55=6
Moving to Node #0,0
Current State: 95:[90, 80, 6], Operations: ['61-55=6']
Exploring Operation: 90-80=10, Resulting Numbers: [6, 10]
Generated Node #0,0,0: 95:[6, 10] Operation: 90-80=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[6, 10], Operations: ['61-55=6', '90-80=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,95 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 |
[
21,
94,
11,
23
] | 98 | [
"21+23=44",
"44/11=4",
"94+4=98"
] | Current State: 98:[21, 94, 11, 23], Operations: []
Exploring Operation: 21+23=44, Resulting Numbers: [94, 11, 44]
Generated Node #2: [94, 11, 44] from Operation: 21+23=44
Current State: 98:[94, 11, 44], Operations: ['21+23=44']
Exploring Operation: 44/11=4, Resulting Numbers: [94, 4]
Generated Node #3: [94, 4] from Operation: 44/11=4
Current State: 98:[94, 4], Operations: ['21+23=44', '44/11=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[21, 94, 11, 23], Operations: []
Exploring Operation: 23-11=12, Resulting Numbers: [21, 94, 12]
Generated Node #0,0: 98:[21, 94, 12] Operation: 23-11=12
Exploring Operation: 21-11=10, Resulting Numbers: [94, 23, 10]
Generated Node #0,1: 98:[94, 23, 10] Operation: 21-11=10
Exploring Operation: 23-21=2, Resulting Numbers: [94, 11, 2]
Generated Node #0,2: 98:[94, 11, 2] Operation: 23-21=2
Exploring Operation: 21+23=44, Resulting Numbers: [94, 11, 44]
Generated Node #0,3: 98:[94, 11, 44] Operation: 21+23=44
Exploring Operation: 94+11=105, Resulting Numbers: [21, 23, 105]
Generated Node #0,4: 98:[21, 23, 105] Operation: 94+11=105
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[94, 11, 2], Operations: ['23-21=2']
Exploring Operation: 94+11=105, Resulting Numbers: [2, 105]
Generated Node #0,2,0: 98:[2, 105] Operation: 94+11=105
Exploring Operation: 94+2=96, Resulting Numbers: [11, 96]
Generated Node #0,2,1: 98:[11, 96] Operation: 94+2=96
Exploring Operation: 11+2=13, Resulting Numbers: [94, 13]
Generated Node #0,2,2: 98:[94, 13] Operation: 11+2=13
Exploring Operation: 11-2=9, Resulting Numbers: [94, 9]
Generated Node #0,2,3: 98:[94, 9] Operation: 11-2=9
Exploring Operation: 94/2=47, Resulting Numbers: [11, 47]
Generated Node #0,2,4: 98:[11, 47] Operation: 94/2=47
Moving to Node #0,2,1
Current State: 98:[11, 96], Operations: ['23-21=2', '94+2=96']
Exploring Operation: 11*96=1056, Resulting Numbers: [1056]
1056,98 unequal: No Solution
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,98 unequal: No Solution
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,98 unequal: No Solution
Moving to Node #0,2,4
Current State: 98:[11, 47], Operations: ['23-21=2', '94/2=47']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 11*47=517, Resulting Numbers: [517]
517,98 unequal: No Solution
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[94, 13], Operations: ['23-21=2', '11+2=13']
Exploring Operation: 94*13=1222, Resulting Numbers: [1222]
1222,98 unequal: No Solution
Exploring Operation: 94+13=107, Resulting Numbers: [107]
107,98 unequal: No Solution
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[94, 9], Operations: ['23-21=2', '11-2=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,98 unequal: No Solution
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,98 unequal: No Solution
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[2, 105], Operations: ['23-21=2', '94+11=105']
Exploring Operation: 2+105=107, Resulting Numbers: [107]
107,98 unequal: No Solution
Exploring Operation: 105-2=103, Resulting Numbers: [103]
103,98 unequal: No Solution
Exploring Operation: 2*105=210, Resulting Numbers: [210]
210,98 unequal: No Solution
No 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: 98:[94, 11, 44], Operations: ['21+23=44']
Exploring Operation: 44/11=4, Resulting Numbers: [94, 4]
Generated Node #0,3,0: 98:[94, 4] Operation: 44/11=4
Exploring Operation: 94-44=50, Resulting Numbers: [11, 50]
Generated Node #0,3,1: 98:[11, 50] Operation: 94-44=50
Exploring Operation: 11+44=55, Resulting Numbers: [94, 55]
Generated Node #0,3,2: 98:[94, 55] Operation: 11+44=55
Exploring Operation: 94-11=83, Resulting Numbers: [44, 83]
Generated Node #0,3,3: 98:[44, 83] Operation: 94-11=83
Exploring Operation: 94+11=105, Resulting Numbers: [44, 105]
Generated Node #0,3,4: 98:[44, 105] Operation: 94+11=105
Moving to Node #0,3,1
Current State: 98:[11, 50], Operations: ['21+23=44', '94-44=50']
Exploring Operation: 11*50=550, Resulting Numbers: [550]
550,98 unequal: No Solution
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[94, 4], Operations: ['21+23=44', '44/11=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[21, 94, 11, 23], Operations: []
Exploring Operation: 21+23=44, Resulting Numbers: [94, 11, 44]
Generated Node #0,3: 98:[94, 11, 44] Operation: 21+23=44
Moving to Node #0,3
Current State: 98:[94, 11, 44], Operations: ['21+23=44']
Exploring Operation: 44/11=4, Resulting Numbers: [94, 4]
Generated Node #0,3,0: 98:[94, 4] Operation: 44/11=4
Moving to Node #0,3,0
Current State: 98:[94, 4], Operations: ['21+23=44', '44/11=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
52,
20,
35,
79
] | 28 | [
"52+20=72",
"79-35=44",
"72-44=28"
] | Current State: 28:[52, 20, 35, 79], Operations: []
Exploring Operation: 52+20=72, Resulting Numbers: [35, 79, 72]
Generated Node #2: [35, 79, 72] from Operation: 52+20=72
Current State: 28:[35, 79, 72], Operations: ['52+20=72']
Exploring Operation: 79-35=44, Resulting Numbers: [72, 44]
Generated Node #3: [72, 44] from Operation: 79-35=44
Current State: 28:[72, 44], Operations: ['52+20=72', '79-35=44']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[52, 20, 35, 79], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [20, 79, 17]
Generated Node #0,0: 28:[20, 79, 17] Operation: 52-35=17
Exploring Operation: 79-52=27, Resulting Numbers: [20, 35, 27]
Generated Node #0,1: 28:[20, 35, 27] Operation: 79-52=27
Exploring Operation: 79-35=44, Resulting Numbers: [52, 20, 44]
Generated Node #0,2: 28:[52, 20, 44] Operation: 79-35=44
Moving to Node #0,1
Current State: 28:[20, 35, 27], Operations: ['79-52=27']
Exploring Operation: 35-20=15, Resulting Numbers: [27, 15]
Generated Node #0,1,0: 28:[27, 15] Operation: 35-20=15
Exploring Operation: 35-27=8, Resulting Numbers: [20, 8]
Generated Node #0,1,1: 28:[20, 8] Operation: 35-27=8
Exploring Operation: 27-20=7, Resulting Numbers: [35, 7]
Generated Node #0,1,2: 28:[35, 7] Operation: 27-20=7
Moving to Node #0,2
Current State: 28:[52, 20, 44], Operations: ['79-35=44']
Exploring Operation: 52-44=8, Resulting Numbers: [20, 8]
Generated Node #0,2,0: 28:[20, 8] Operation: 52-44=8
Exploring Operation: 52-20=32, Resulting Numbers: [44, 32]
Generated Node #0,2,1: 28:[44, 32] Operation: 52-20=32
Exploring Operation: 44-20=24, Resulting Numbers: [52, 24]
Generated Node #0,2,2: 28:[52, 24] Operation: 44-20=24
Moving to Node #0,0
Current State: 28:[20, 79, 17], Operations: ['52-35=17']
Exploring Operation: 20-17=3, Resulting Numbers: [79, 3]
Generated Node #0,0,0: 28:[79, 3] Operation: 20-17=3
Exploring Operation: 79-20=59, Resulting Numbers: [17, 59]
Generated Node #0,0,1: 28:[17, 59] Operation: 79-20=59
Exploring Operation: 79-17=62, Resulting Numbers: [20, 62]
Generated Node #0,0,2: 28:[20, 62] Operation: 79-17=62
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[17, 59], Operations: ['52-35=17', '79-20=59']
Exploring Operation: 17*59=1003, Resulting Numbers: [1003]
1003,28 unequal: No Solution
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 17+59=76, Resulting Numbers: [76]
76,28 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:[20, 62], Operations: ['52-35=17', '79-17=62']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 20+62=82, Resulting Numbers: [82]
82,28 unequal: No Solution
Exploring Operation: 20*62=1240, Resulting Numbers: [1240]
1240,28 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:[79, 3], Operations: ['52-35=17', '20-17=3']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,28 unequal: No Solution
Exploring Operation: 79*3=237, Resulting Numbers: [237]
237,28 unequal: No Solution
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,28 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: 28:[27, 15], Operations: ['79-52=27', '35-20=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,28 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Moving to Node #0,1,2
Current State: 28:[35, 7], Operations: ['79-52=27', '27-20=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[52, 20, 35, 79], Operations: []
Exploring Operation: 79-52=27, Resulting Numbers: [20, 35, 27]
Generated Node #0,1: 28:[20, 35, 27] Operation: 79-52=27
Moving to Node #0,1
Current State: 28:[20, 35, 27], Operations: ['79-52=27']
Exploring Operation: 27-20=7, Resulting Numbers: [35, 7]
Generated Node #0,1,2: 28:[35, 7] Operation: 27-20=7
Moving to Node #0,1,2
Current State: 28:[35, 7], Operations: ['79-52=27', '27-20=7']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 0.973958 | hs_3 | mult_heuristic |
[
72,
84,
28,
52
] | 87 | [
"52-28=24",
"72/24=3",
"84+3=87"
] | Current State: 87:[72, 84, 28, 52], Operations: []
Exploring Operation: 52-28=24, Resulting Numbers: [72, 84, 24]
Generated Node #2: [72, 84, 24] from Operation: 52-28=24
Current State: 87:[72, 84, 24], Operations: ['52-28=24']
Exploring Operation: 72/24=3, Resulting Numbers: [84, 3]
Generated Node #3: [84, 3] from Operation: 72/24=3
Current State: 87:[84, 3], Operations: ['52-28=24', '72/24=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[72, 84, 28, 52], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [72, 28, 32]
Generated Node #0,0: 87:[72, 28, 32] Operation: 84-52=32
Exploring Operation: 72-52=20, Resulting Numbers: [84, 28, 20]
Generated Node #0,1: 87:[84, 28, 20] Operation: 72-52=20
Exploring Operation: 52-28=24, Resulting Numbers: [72, 84, 24]
Generated Node #0,2: 87:[72, 84, 24] Operation: 52-28=24
Exploring Operation: 28+52=80, Resulting Numbers: [72, 84, 80]
Generated Node #0,3: 87:[72, 84, 80] Operation: 28+52=80
Exploring Operation: 84-72=12, Resulting Numbers: [28, 52, 12]
Generated Node #0,4: 87:[28, 52, 12] Operation: 84-72=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[84, 28, 20], Operations: ['72-52=20']
Exploring Operation: 28+20=48, Resulting Numbers: [84, 48]
Generated Node #0,1,0: 87:[84, 48] Operation: 28+20=48
Exploring Operation: 84-20=64, Resulting Numbers: [28, 64]
Generated Node #0,1,1: 87:[28, 64] Operation: 84-20=64
Exploring Operation: 84+20=104, Resulting Numbers: [28, 104]
Generated Node #0,1,2: 87:[28, 104] Operation: 84+20=104
Exploring Operation: 28-20=8, Resulting Numbers: [84, 8]
Generated Node #0,1,3: 87:[84, 8] Operation: 28-20=8
Exploring Operation: 84/28=3, Resulting Numbers: [20, 3]
Generated Node #0,1,4: 87:[20, 3] Operation: 84/28=3
Moving to Node #0,1,3
Current State: 87:[84, 8], Operations: ['72-52=20', '28-20=8']
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,87 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,87 unequal: No Solution
Moving to Node #0,1,4
Current State: 87:[20, 3], Operations: ['72-52=20', '84/28=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,87 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[28, 104], Operations: ['72-52=20', '84+20=104']
Exploring Operation: 28+104=132, Resulting Numbers: [132]
132,87 unequal: No Solution
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 28*104=2912, Resulting Numbers: [2912]
2912,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[84, 48], Operations: ['72-52=20', '28+20=48']
Exploring Operation: 84*48=4032, Resulting Numbers: [4032]
4032,87 unequal: No Solution
Exploring Operation: 84+48=132, Resulting Numbers: [132]
132,87 unequal: No Solution
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[28, 64], Operations: ['72-52=20', '84-20=64']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,87 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,87 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[72, 28, 32], Operations: ['84-52=32']
Exploring Operation: 72+32=104, Resulting Numbers: [28, 104]
Generated Node #0,0,0: 87:[28, 104] Operation: 72+32=104
Exploring Operation: 72+28=100, Resulting Numbers: [32, 100]
Generated Node #0,0,1: 87:[32, 100] Operation: 72+28=100
Exploring Operation: 72-28=44, Resulting Numbers: [32, 44]
Generated Node #0,0,2: 87:[32, 44] Operation: 72-28=44
Exploring Operation: 32-28=4, Resulting Numbers: [72, 4]
Generated Node #0,0,3: 87:[72, 4] Operation: 32-28=4
Exploring Operation: 72-32=40, Resulting Numbers: [28, 40]
Generated Node #0,0,4: 87:[28, 40] Operation: 72-32=40
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 87:[28, 40], Operations: ['84-52=32', '72-32=40']
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,87 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[32, 100], Operations: ['84-52=32', '72+28=100']
Exploring Operation: 32*100=3200, Resulting Numbers: [3200]
3200,87 unequal: No Solution
Exploring Operation: 100-32=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 32+100=132, Resulting Numbers: [132]
132,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 87:[72, 4], Operations: ['84-52=32', '32-28=4']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,87 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[28, 104], Operations: ['84-52=32', '72+32=104']
Exploring Operation: 28+104=132, Resulting Numbers: [132]
132,87 unequal: No Solution
Exploring Operation: 28*104=2912, Resulting Numbers: [2912]
2912,87 unequal: No Solution
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[32, 44], Operations: ['84-52=32', '72-28=44']
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,87 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[72, 84, 24], Operations: ['52-28=24']
Exploring Operation: 72-24=48, Resulting Numbers: [84, 48]
Generated Node #0,2,0: 87:[84, 48] Operation: 72-24=48
Exploring Operation: 84-72=12, Resulting Numbers: [24, 12]
Generated Node #0,2,1: 87:[24, 12] Operation: 84-72=12
Exploring Operation: 72/24=3, Resulting Numbers: [84, 3]
Generated Node #0,2,2: 87:[84, 3] Operation: 72/24=3
Exploring Operation: 72+24=96, Resulting Numbers: [84, 96]
Generated Node #0,2,3: 87:[84, 96] Operation: 72+24=96
Exploring Operation: 84+24=108, Resulting Numbers: [72, 108]
Generated Node #0,2,4: 87:[72, 108] Operation: 84+24=108
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 87:[84, 3], Operations: ['52-28=24', '72/24=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,87 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,87 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,87 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[72, 84, 28, 52], Operations: []
Exploring Operation: 52-28=24, Resulting Numbers: [72, 84, 24]
Generated Node #0,2: 87:[72, 84, 24] Operation: 52-28=24
Moving to Node #0,2
Current State: 87:[72, 84, 24], Operations: ['52-28=24']
Exploring Operation: 72/24=3, Resulting Numbers: [84, 3]
Generated Node #0,2,2: 87:[84, 3] Operation: 72/24=3
Moving to Node #0,2,2
Current State: 87:[84, 3], Operations: ['52-28=24', '72/24=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.948785 | hs_5 | mult_heuristic |
[
37,
39,
83,
19
] | 100 | [
"39-37=2",
"83+19=102",
"102-2=100"
] | Current State: 100:[37, 39, 83, 19], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [83, 19, 2]
Generated Node #2: [83, 19, 2] from Operation: 39-37=2
Current State: 100:[83, 19, 2], Operations: ['39-37=2']
Exploring Operation: 83+19=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 83+19=102
Current State: 100:[2, 102], Operations: ['39-37=2', '83+19=102']
Exploring Operation: 102-2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[37, 39, 83, 19], Operations: []
Exploring Operation: 83+19=102, Resulting Numbers: [37, 39, 102]
Generated Node #0,0: 100:[37, 39, 102] Operation: 83+19=102
Exploring Operation: 39-37=2, Resulting Numbers: [83, 19, 2]
Generated Node #0,1: 100:[83, 19, 2] Operation: 39-37=2
Exploring Operation: 83-37=46, Resulting Numbers: [39, 19, 46]
Generated Node #0,2: 100:[39, 19, 46] Operation: 83-37=46
Exploring Operation: 83-39=44, Resulting Numbers: [37, 19, 44]
Generated Node #0,3: 100:[37, 19, 44] Operation: 83-39=44
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[39, 19, 46], Operations: ['83-37=46']
Exploring Operation: 46-19=27, Resulting Numbers: [39, 27]
Generated Node #0,2,0: 100:[39, 27] Operation: 46-19=27
Exploring Operation: 46-39=7, Resulting Numbers: [19, 7]
Generated Node #0,2,1: 100:[19, 7] Operation: 46-39=7
Exploring Operation: 39-19=20, Resulting Numbers: [46, 20]
Generated Node #0,2,2: 100:[46, 20] Operation: 39-19=20
Exploring Operation: 39+19=58, Resulting Numbers: [46, 58]
Generated Node #0,2,3: 100:[46, 58] Operation: 39+19=58
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[19, 7], Operations: ['83-37=46', '46-39=7']
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,100 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 100:[46, 20], Operations: ['83-37=46', '39-19=20']
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,100 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 100:[46, 58], Operations: ['83-37=46', '39+19=58']
Exploring Operation: 46+58=104, Resulting Numbers: [104]
104,100 unequal: No Solution
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 46*58=2668, Resulting Numbers: [2668]
2668,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 100:[39, 27], Operations: ['83-37=46', '46-19=27']
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,100 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[83, 19, 2], Operations: ['39-37=2']
Exploring Operation: 19+2=21, Resulting Numbers: [83, 21]
Generated Node #0,1,0: 100:[83, 21] Operation: 19+2=21
Exploring Operation: 83+2=85, Resulting Numbers: [19, 85]
Generated Node #0,1,1: 100:[19, 85] Operation: 83+2=85
Exploring Operation: 83+19=102, Resulting Numbers: [2, 102]
Generated Node #0,1,2: 100:[2, 102] Operation: 83+19=102
Exploring Operation: 83-19=64, Resulting Numbers: [2, 64]
Generated Node #0,1,3: 100:[2, 64] Operation: 83-19=64
Moving to Node #0,1,2
Current State: 100:[2, 102], Operations: ['39-37=2', '83+19=102']
Exploring Operation: 2*102=204, Resulting Numbers: [204]
204,100 unequal: No Solution
Exploring Operation: 2+102=104, Resulting Numbers: [104]
104,100 unequal: No Solution
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 102-2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[37, 39, 83, 19], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [83, 19, 2]
Generated Node #0,1: 100:[83, 19, 2] Operation: 39-37=2
Moving to Node #0,1
Current State: 100:[83, 19, 2], Operations: ['39-37=2']
Exploring Operation: 83+19=102, Resulting Numbers: [2, 102]
Generated Node #0,1,2: 100:[2, 102] Operation: 83+19=102
Moving to Node #0,1,2
Current State: 100:[2, 102], Operations: ['39-37=2', '83+19=102']
Exploring Operation: 102-2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
46,
56,
69,
2
] | 36 | [
"46+56=102",
"69*2=138",
"138-102=36"
] | Current State: 36:[46, 56, 69, 2], Operations: []
Exploring Operation: 46+56=102, Resulting Numbers: [69, 2, 102]
Generated Node #2: [69, 2, 102] from Operation: 46+56=102
Current State: 36:[69, 2, 102], Operations: ['46+56=102']
Exploring Operation: 69*2=138, Resulting Numbers: [102, 138]
Generated Node #3: [102, 138] from Operation: 69*2=138
Current State: 36:[102, 138], Operations: ['46+56=102', '69*2=138']
Exploring Operation: 138-102=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[46, 56, 69, 2], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [69, 2, 10]
Generated Node #0,0: 36:[69, 2, 10] Operation: 56-46=10
Exploring Operation: 69-46=23, Resulting Numbers: [56, 2, 23]
Generated Node #0,1: 36:[56, 2, 23] Operation: 69-46=23
Exploring Operation: 69-56=13, Resulting Numbers: [46, 2, 13]
Generated Node #0,2: 36:[46, 2, 13] Operation: 69-56=13
Exploring Operation: 56/2=28, Resulting Numbers: [46, 69, 28]
Generated Node #0,3: 36:[46, 69, 28] Operation: 56/2=28
Exploring Operation: 46/2=23, Resulting Numbers: [56, 69, 23]
Generated Node #0,4: 36:[56, 69, 23] Operation: 46/2=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[46, 2, 13], Operations: ['69-56=13']
Exploring Operation: 46-13=33, Resulting Numbers: [2, 33]
Generated Node #0,2,0: 36:[2, 33] Operation: 46-13=33
Exploring Operation: 46-2=44, Resulting Numbers: [13, 44]
Generated Node #0,2,1: 36:[13, 44] Operation: 46-2=44
Exploring Operation: 46+2=48, Resulting Numbers: [13, 48]
Generated Node #0,2,2: 36:[13, 48] Operation: 46+2=48
Exploring Operation: 46/2=23, Resulting Numbers: [13, 23]
Generated Node #0,2,3: 36:[13, 23] Operation: 46/2=23
Exploring Operation: 13-2=11, Resulting Numbers: [46, 11]
Generated Node #0,2,4: 36:[46, 11] Operation: 13-2=11
Moving to Node #0,2,0
Current State: 36:[2, 33], Operations: ['69-56=13', '46-13=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,36 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[13, 23], Operations: ['69-56=13', '46/2=23']
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,36 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[46, 56, 69, 2], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [46, 2, 13]
Generated Node #0,2: 36:[46, 2, 13] Operation: 69-56=13
Moving to Node #0,2
Current State: 36:[46, 2, 13], Operations: ['69-56=13']
Exploring Operation: 46/2=23, Resulting Numbers: [13, 23]
Generated Node #0,2,3: 36:[13, 23] Operation: 46/2=23
Moving to Node #0,2,3
Current State: 36:[13, 23], Operations: ['69-56=13', '46/2=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
34,
61,
18,
52
] | 68 | [
"34*18=612",
"61-52=9",
"612/9=68"
] | Current State: 68:[34, 61, 18, 52], Operations: []
Exploring Operation: 34*18=612, Resulting Numbers: [61, 52, 612]
Generated Node #2: [61, 52, 612] from Operation: 34*18=612
Current State: 68:[61, 52, 612], Operations: ['34*18=612']
Exploring Operation: 61-52=9, Resulting Numbers: [612, 9]
Generated Node #3: [612, 9] from Operation: 61-52=9
Current State: 68:[612, 9], Operations: ['34*18=612', '61-52=9']
Exploring Operation: 612/9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[34, 61, 18, 52], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [34, 61, 34]
Generated Node #0,0: 68:[34, 61, 34] Operation: 52-18=34
Exploring Operation: 52-34=18, Resulting Numbers: [61, 18, 18]
Generated Node #0,1: 68:[61, 18, 18] Operation: 52-34=18
Exploring Operation: 61-52=9, Resulting Numbers: [34, 18, 9]
Generated Node #0,2: 68:[34, 18, 9] Operation: 61-52=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[34, 18, 9], Operations: ['61-52=9']
Exploring Operation: 18-9=9, Resulting Numbers: [34, 9]
Generated Node #0,2,0: 68:[34, 9] Operation: 18-9=9
Exploring Operation: 18/9=2, Resulting Numbers: [34, 2]
Generated Node #0,2,1: 68:[34, 2] Operation: 18/9=2
Exploring Operation: 34-18=16, Resulting Numbers: [9, 16]
Generated Node #0,2,2: 68:[9, 16] Operation: 34-18=16
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 68:[34, 2], Operations: ['61-52=9', '18/9=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[34, 61, 18, 52], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [34, 18, 9]
Generated Node #0,2: 68:[34, 18, 9] Operation: 61-52=9
Moving to Node #0,2
Current State: 68:[34, 18, 9], Operations: ['61-52=9']
Exploring Operation: 18/9=2, Resulting Numbers: [34, 2]
Generated Node #0,2,1: 68:[34, 2] Operation: 18/9=2
Moving to Node #0,2,1
Current State: 68:[34, 2], Operations: ['61-52=9', '18/9=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
84,
83,
24,
36
] | 59 | [
"84-83=1",
"24+36=60",
"60-1=59"
] | Current State: 59:[84, 83, 24, 36], Operations: []
Exploring Operation: 84-83=1, Resulting Numbers: [24, 36, 1]
Generated Node #2: [24, 36, 1] from Operation: 84-83=1
Current State: 59:[24, 36, 1], Operations: ['84-83=1']
Exploring Operation: 24+36=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 24+36=60
Current State: 59:[1, 60], Operations: ['84-83=1', '24+36=60']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[84, 83, 24, 36], Operations: []
Exploring Operation: 83-36=47, Resulting Numbers: [84, 24, 47]
Generated Node #0,0: 59:[84, 24, 47] Operation: 83-36=47
Exploring Operation: 83-24=59, Resulting Numbers: [84, 36, 59]
Generated Node #0,1: 59:[84, 36, 59] Operation: 83-24=59
Exploring Operation: 84-24=60, Resulting Numbers: [83, 36, 60]
Generated Node #0,2: 59:[83, 36, 60] Operation: 84-24=60
Exploring Operation: 84-36=48, Resulting Numbers: [83, 24, 48]
Generated Node #0,3: 59:[83, 24, 48] Operation: 84-36=48
Exploring Operation: 24+36=60, Resulting Numbers: [84, 83, 60]
Generated Node #0,4: 59:[84, 83, 60] Operation: 24+36=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[84, 36, 59], Operations: ['83-24=59']
Exploring Operation: 36+59=95, Resulting Numbers: [84, 95]
Generated Node #0,1,0: 59:[84, 95] Operation: 36+59=95
Exploring Operation: 84-36=48, Resulting Numbers: [59, 48]
Generated Node #0,1,1: 59:[59, 48] Operation: 84-36=48
Exploring Operation: 84+36=120, Resulting Numbers: [59, 120]
Generated Node #0,1,2: 59:[59, 120] Operation: 84+36=120
Exploring Operation: 84-59=25, Resulting Numbers: [36, 25]
Generated Node #0,1,3: 59:[36, 25] Operation: 84-59=25
Exploring Operation: 59-36=23, Resulting Numbers: [84, 23]
Generated Node #0,1,4: 59:[84, 23] Operation: 59-36=23
Moving to Node #0,1,1
Current State: 59:[59, 48], Operations: ['83-24=59', '84-36=48']
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,59 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[36, 25], Operations: ['83-24=59', '84-59=25']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,59 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,59 unequal: No Solution
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[84, 95], Operations: ['83-24=59', '36+59=95']
Exploring Operation: 95-84=11, Resulting Numbers: [11]
11,59 unequal: No Solution
Exploring Operation: 84*95=7980, Resulting Numbers: [7980]
7980,59 unequal: No Solution
Exploring Operation: 84+95=179, Resulting Numbers: [179]
179,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[59, 120], Operations: ['83-24=59', '84+36=120']
Exploring Operation: 59*120=7080, Resulting Numbers: [7080]
7080,59 unequal: No Solution
Exploring Operation: 59+120=179, Resulting Numbers: [179]
179,59 unequal: No Solution
Exploring Operation: 120-59=61, Resulting Numbers: [61]
61,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[84, 23], Operations: ['83-24=59', '59-36=23']
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,59 unequal: No Solution
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,59 unequal: No Solution
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[83, 36, 60], Operations: ['84-24=60']
Exploring Operation: 60-36=24, Resulting Numbers: [83, 24]
Generated Node #0,2,0: 59:[83, 24] Operation: 60-36=24
Exploring Operation: 36+60=96, Resulting Numbers: [83, 96]
Generated Node #0,2,1: 59:[83, 96] Operation: 36+60=96
Exploring Operation: 83+36=119, Resulting Numbers: [60, 119]
Generated Node #0,2,2: 59:[60, 119] Operation: 83+36=119
Exploring Operation: 83-36=47, Resulting Numbers: [60, 47]
Generated Node #0,2,3: 59:[60, 47] Operation: 83-36=47
Exploring Operation: 83-60=23, Resulting Numbers: [36, 23]
Generated Node #0,2,4: 59:[36, 23] Operation: 83-60=23
Moving to Node #0,2,3
Current State: 59:[60, 47], Operations: ['84-24=60', '83-36=47']
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,59 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Moving to Node #0,2,4
Current State: 59:[36, 23], Operations: ['84-24=60', '83-60=23']
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,59 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[84, 83, 24, 36], Operations: []
Exploring Operation: 84-24=60, Resulting Numbers: [83, 36, 60]
Generated Node #0,2: 59:[83, 36, 60] Operation: 84-24=60
Moving to Node #0,2
Current State: 59:[83, 36, 60], Operations: ['84-24=60']
Exploring Operation: 83-60=23, Resulting Numbers: [36, 23]
Generated Node #0,2,4: 59:[36, 23] Operation: 83-60=23
Moving to Node #0,2,4
Current State: 59:[36, 23], Operations: ['84-24=60', '83-60=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | mult_heuristic |
[
84,
28,
20,
19
] | 95 | [
"84-28=56",
"20+19=39",
"56+39=95"
] | Current State: 95:[84, 28, 20, 19], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [20, 19, 56]
Generated Node #2: [20, 19, 56] from Operation: 84-28=56
Current State: 95:[20, 19, 56], Operations: ['84-28=56']
Exploring Operation: 20+19=39, Resulting Numbers: [56, 39]
Generated Node #3: [56, 39] from Operation: 20+19=39
Current State: 95:[56, 39], Operations: ['84-28=56', '20+19=39']
Exploring Operation: 56+39=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[84, 28, 20, 19], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [20, 19, 3]
Generated Node #0,0: 95:[20, 19, 3] Operation: 84/28=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[20, 19, 3], Operations: ['84/28=3']
Exploring Operation: 20-3=17, Resulting Numbers: [19, 17]
Generated Node #0,0,0: 95:[19, 17] Operation: 20-3=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[19, 17], Operations: ['84/28=3', '20-3=17']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
78,
55,
81
] | 61 | [
"4*55=220",
"78+81=159",
"220-159=61"
] | Current State: 61:[4, 78, 55, 81], Operations: []
Exploring Operation: 4*55=220, Resulting Numbers: [78, 81, 220]
Generated Node #2: [78, 81, 220] from Operation: 4*55=220
Current State: 61:[78, 81, 220], Operations: ['4*55=220']
Exploring Operation: 78+81=159, Resulting Numbers: [220, 159]
Generated Node #3: [220, 159] from Operation: 78+81=159
Current State: 61:[220, 159], Operations: ['4*55=220', '78+81=159']
Exploring Operation: 220-159=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[4, 78, 55, 81], Operations: []
Exploring Operation: 4+55=59, Resulting Numbers: [78, 81, 59]
Generated Node #0,0: 61:[78, 81, 59] Operation: 4+55=59
Exploring Operation: 78-4=74, Resulting Numbers: [55, 81, 74]
Generated Node #0,1: 61:[55, 81, 74] Operation: 78-4=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[78, 81, 59], Operations: ['4+55=59']
Exploring Operation: 81-59=22, Resulting Numbers: [78, 22]
Generated Node #0,0,0: 61:[78, 22] Operation: 81-59=22
Exploring Operation: 81-78=3, Resulting Numbers: [59, 3]
Generated Node #0,0,1: 61:[59, 3] Operation: 81-78=3
Moving to Node #0,0,0
Current State: 61:[78, 22], Operations: ['4+55=59', '81-59=22']
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,61 unequal: No Solution
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[59, 3], Operations: ['4+55=59', '81-78=3']
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,61 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[55, 81, 74], Operations: ['78-4=74']
Exploring Operation: 81-55=26, Resulting Numbers: [74, 26]
Generated Node #0,1,0: 61:[74, 26] Operation: 81-55=26
Exploring Operation: 81-74=7, Resulting Numbers: [55, 7]
Generated Node #0,1,1: 61:[55, 7] Operation: 81-74=7
Moving to Node #0,1,0
Current State: 61:[74, 26], Operations: ['78-4=74', '81-55=26']
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,61 unequal: No Solution
Exploring Operation: 74+26=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[55, 7], Operations: ['78-4=74', '81-74=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,61 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
42,
30,
4
] | 90 | [
"98-42=56",
"30+4=34",
"56+34=90"
] | Current State: 90:[98, 42, 30, 4], Operations: []
Exploring Operation: 98-42=56, Resulting Numbers: [30, 4, 56]
Generated Node #2: [30, 4, 56] from Operation: 98-42=56
Current State: 90:[30, 4, 56], Operations: ['98-42=56']
Exploring Operation: 30+4=34, Resulting Numbers: [56, 34]
Generated Node #3: [56, 34] from Operation: 30+4=34
Current State: 90:[56, 34], Operations: ['98-42=56', '30+4=34']
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[98, 42, 30, 4], Operations: []
Exploring Operation: 98+4=102, Resulting Numbers: [42, 30, 102]
Generated Node #0,0: 90:[42, 30, 102] Operation: 98+4=102
Exploring Operation: 42-30=12, Resulting Numbers: [98, 4, 12]
Generated Node #0,1: 90:[98, 4, 12] Operation: 42-30=12
Exploring Operation: 98-4=94, Resulting Numbers: [42, 30, 94]
Generated Node #0,2: 90:[42, 30, 94] Operation: 98-4=94
Exploring Operation: 42+4=46, Resulting Numbers: [98, 30, 46]
Generated Node #0,3: 90:[98, 30, 46] Operation: 42+4=46
Exploring Operation: 98-42=56, Resulting Numbers: [30, 4, 56]
Generated Node #0,4: 90:[30, 4, 56] Operation: 98-42=56
Moving to Node #0,2
Current State: 90:[42, 30, 94], Operations: ['98-4=94']
Exploring Operation: 42-30=12, Resulting Numbers: [94, 12]
Generated Node #0,2,0: 90:[94, 12] Operation: 42-30=12
Exploring Operation: 94-42=52, Resulting Numbers: [30, 52]
Generated Node #0,2,1: 90:[30, 52] Operation: 94-42=52
Exploring Operation: 42+30=72, Resulting Numbers: [94, 72]
Generated Node #0,2,2: 90:[94, 72] Operation: 42+30=72
Exploring Operation: 30+94=124, Resulting Numbers: [42, 124]
Generated Node #0,2,3: 90:[42, 124] Operation: 30+94=124
Exploring Operation: 94-30=64, Resulting Numbers: [42, 64]
Generated Node #0,2,4: 90:[42, 64] Operation: 94-30=64
Moving to Node #0,3
Current State: 90:[98, 30, 46], Operations: ['42+4=46']
Exploring Operation: 98-46=52, Resulting Numbers: [30, 52]
Generated Node #0,3,0: 90:[30, 52] Operation: 98-46=52
Exploring Operation: 98+30=128, Resulting Numbers: [46, 128]
Generated Node #0,3,1: 90:[46, 128] Operation: 98+30=128
Exploring Operation: 46-30=16, Resulting Numbers: [98, 16]
Generated Node #0,3,2: 90:[98, 16] Operation: 46-30=16
Exploring Operation: 30+46=76, Resulting Numbers: [98, 76]
Generated Node #0,3,3: 90:[98, 76] Operation: 30+46=76
Exploring Operation: 98-30=68, Resulting Numbers: [46, 68]
Generated Node #0,3,4: 90:[46, 68] Operation: 98-30=68
Moving to Node #0,1
Current State: 90:[98, 4, 12], Operations: ['42-30=12']
Exploring Operation: 98-4=94, Resulting Numbers: [12, 94]
Generated Node #0,1,0: 90:[12, 94] Operation: 98-4=94
Exploring Operation: 4+12=16, Resulting Numbers: [98, 16]
Generated Node #0,1,1: 90:[98, 16] Operation: 4+12=16
Exploring Operation: 12-4=8, Resulting Numbers: [98, 8]
Generated Node #0,1,2: 90:[98, 8] Operation: 12-4=8
Exploring Operation: 12/4=3, Resulting Numbers: [98, 3]
Generated Node #0,1,3: 90:[98, 3] Operation: 12/4=3
Exploring Operation: 98-12=86, Resulting Numbers: [4, 86]
Generated Node #0,1,4: 90:[4, 86] Operation: 98-12=86
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 90:[4, 86], Operations: ['42-30=12', '98-12=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[98, 42, 30, 4], Operations: []
Exploring Operation: 42-30=12, Resulting Numbers: [98, 4, 12]
Generated Node #0,1: 90:[98, 4, 12] Operation: 42-30=12
Moving to Node #0,1
Current State: 90:[98, 4, 12], Operations: ['42-30=12']
Exploring Operation: 98-12=86, Resulting Numbers: [4, 86]
Generated Node #0,1,4: 90:[4, 86] Operation: 98-12=86
Moving to Node #0,1,4
Current State: 90:[4, 86], Operations: ['42-30=12', '98-12=86']
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
24,
74,
13,
25
] | 86 | [
"24+74=98",
"25-13=12",
"98-12=86"
] | Current State: 86:[24, 74, 13, 25], Operations: []
Exploring Operation: 24+74=98, Resulting Numbers: [13, 25, 98]
Generated Node #2: [13, 25, 98] from Operation: 24+74=98
Current State: 86:[13, 25, 98], Operations: ['24+74=98']
Exploring Operation: 25-13=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 25-13=12
Current State: 86:[98, 12], Operations: ['24+74=98', '25-13=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[24, 74, 13, 25], Operations: []
Exploring Operation: 74-24=50, Resulting Numbers: [13, 25, 50]
Generated Node #0,0: 86:[13, 25, 50] Operation: 74-24=50
Exploring Operation: 24+13=37, Resulting Numbers: [74, 25, 37]
Generated Node #0,1: 86:[74, 25, 37] Operation: 24+13=37
Exploring Operation: 74-25=49, Resulting Numbers: [24, 13, 49]
Generated Node #0,2: 86:[24, 13, 49] Operation: 74-25=49
Exploring Operation: 24+25=49, Resulting Numbers: [74, 13, 49]
Generated Node #0,3: 86:[74, 13, 49] Operation: 24+25=49
Exploring Operation: 25-24=1, Resulting Numbers: [74, 13, 1]
Generated Node #0,4: 86:[74, 13, 1] Operation: 25-24=1
Moving to Node #0,4
Current State: 86:[74, 13, 1], Operations: ['25-24=1']
Exploring Operation: 74-13=61, Resulting Numbers: [1, 61]
Generated Node #0,4,0: 86:[1, 61] Operation: 74-13=61
Exploring Operation: 74+1=75, Resulting Numbers: [13, 75]
Generated Node #0,4,1: 86:[13, 75] Operation: 74+1=75
Exploring Operation: 74+13=87, Resulting Numbers: [1, 87]
Generated Node #0,4,2: 86:[1, 87] Operation: 74+13=87
Exploring Operation: 74*1=74, Resulting Numbers: [13, 74]
Generated Node #0,4,3: 86:[13, 74] Operation: 74*1=74
Exploring Operation: 13-1=12, Resulting Numbers: [74, 12]
Generated Node #0,4,4: 86:[74, 12] Operation: 13-1=12
Moving to Node #0,3
Current State: 86:[74, 13, 49], Operations: ['24+25=49']
Exploring Operation: 74-49=25, Resulting Numbers: [13, 25]
Generated Node #0,3,0: 86:[13, 25] Operation: 74-49=25
Exploring Operation: 13+49=62, Resulting Numbers: [74, 62]
Generated Node #0,3,1: 86:[74, 62] Operation: 13+49=62
Exploring Operation: 74+13=87, Resulting Numbers: [49, 87]
Generated Node #0,3,2: 86:[49, 87] Operation: 74+13=87
Exploring Operation: 49-13=36, Resulting Numbers: [74, 36]
Generated Node #0,3,3: 86:[74, 36] Operation: 49-13=36
Exploring Operation: 74-13=61, Resulting Numbers: [49, 61]
Generated Node #0,3,4: 86:[49, 61] Operation: 74-13=61
Moving to Node #0,0
Current State: 86:[13, 25, 50], Operations: ['74-24=50']
Exploring Operation: 25-13=12, Resulting Numbers: [50, 12]
Generated Node #0,0,0: 86:[50, 12] Operation: 25-13=12
Exploring Operation: 50/25=2, Resulting Numbers: [13, 2]
Generated Node #0,0,1: 86:[13, 2] Operation: 50/25=2
Exploring Operation: 50-13=37, Resulting Numbers: [25, 37]
Generated Node #0,0,2: 86:[25, 37] Operation: 50-13=37
Exploring Operation: 25+50=75, Resulting Numbers: [13, 75]
Generated Node #0,0,3: 86:[13, 75] Operation: 25+50=75
Exploring Operation: 13+25=38, Resulting Numbers: [50, 38]
Generated Node #0,0,4: 86:[50, 38] Operation: 13+25=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[13, 2], Operations: ['74-24=50', '50/25=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,86 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 86:[50, 38], Operations: ['74-24=50', '13+25=38']
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,86 unequal: No Solution
Exploring Operation: 50+38=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 50*38=1900, Resulting Numbers: [1900]
1900,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[50, 12], Operations: ['74-24=50', '25-13=12']
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,86 unequal: No Solution
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,86 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[13, 75], Operations: ['74-24=50', '25+50=75']
Exploring Operation: 13+75=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Exploring Operation: 13*75=975, Resulting Numbers: [975]
975,86 unequal: No Solution
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[25, 37], Operations: ['74-24=50', '50-13=37']
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,86 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,86 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 86:[74, 25, 37], Operations: ['24+13=37']
Exploring Operation: 74-25=49, Resulting Numbers: [37, 49]
Generated Node #0,1,0: 86:[37, 49] Operation: 74-25=49
Exploring Operation: 74-37=37, Resulting Numbers: [25, 37]
Generated Node #0,1,1: 86:[25, 37] Operation: 74-37=37
Exploring Operation: 74/37=2, Resulting Numbers: [25, 2]
Generated Node #0,1,2: 86:[25, 2] Operation: 74/37=2
Exploring Operation: 74+25=99, Resulting Numbers: [37, 99]
Generated Node #0,1,3: 86:[37, 99] Operation: 74+25=99
Exploring Operation: 37-25=12, Resulting Numbers: [74, 12]
Generated Node #0,1,4: 86:[74, 12] Operation: 37-25=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[37, 49], Operations: ['24+13=37', '74-25=49']
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,86 unequal: No Solution
Exploring Operation: 37*49=1813, Resulting Numbers: [1813]
1813,86 unequal: No Solution
Exploring Operation: 37+49=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[24, 74, 13, 25], Operations: []
Exploring Operation: 24+13=37, Resulting Numbers: [74, 25, 37]
Generated Node #0,1: 86:[74, 25, 37] Operation: 24+13=37
Moving to Node #0,1
Current State: 86:[74, 25, 37], Operations: ['24+13=37']
Exploring Operation: 74-25=49, Resulting Numbers: [37, 49]
Generated Node #0,1,0: 86:[37, 49] Operation: 74-25=49
Moving to Node #0,1,0
Current State: 86:[37, 49], Operations: ['24+13=37', '74-25=49']
Exploring Operation: 37+49=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | sum_heuristic |
[
3,
81,
88,
40
] | 44 | [
"3+81=84",
"88+40=128",
"128-84=44"
] | Current State: 44:[3, 81, 88, 40], Operations: []
Exploring Operation: 3+81=84, Resulting Numbers: [88, 40, 84]
Generated Node #2: [88, 40, 84] from Operation: 3+81=84
Current State: 44:[88, 40, 84], Operations: ['3+81=84']
Exploring Operation: 88+40=128, Resulting Numbers: [84, 128]
Generated Node #3: [84, 128] from Operation: 88+40=128
Current State: 44:[84, 128], Operations: ['3+81=84', '88+40=128']
Exploring Operation: 128-84=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[3, 81, 88, 40], Operations: []
Exploring Operation: 88-81=7, Resulting Numbers: [3, 40, 7]
Generated Node #0,0: 44:[3, 40, 7] Operation: 88-81=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[3, 40, 7], Operations: ['88-81=7']
Exploring Operation: 3+40=43, Resulting Numbers: [7, 43]
Generated Node #0,0,0: 44:[7, 43] Operation: 3+40=43
Moving to Node #0,0,0
Current State: 44:[7, 43], Operations: ['88-81=7', '3+40=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
47,
23,
5,
13
] | 62 | [
"47+23=70",
"13-5=8",
"70-8=62"
] | Current State: 62:[47, 23, 5, 13], Operations: []
Exploring Operation: 47+23=70, Resulting Numbers: [5, 13, 70]
Generated Node #2: [5, 13, 70] from Operation: 47+23=70
Current State: 62:[5, 13, 70], Operations: ['47+23=70']
Exploring Operation: 13-5=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 13-5=8
Current State: 62:[70, 8], Operations: ['47+23=70', '13-5=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[47, 23, 5, 13], Operations: []
Exploring Operation: 47+23=70, Resulting Numbers: [5, 13, 70]
Generated Node #0,0: 62:[5, 13, 70] Operation: 47+23=70
Exploring Operation: 47-13=34, Resulting Numbers: [23, 5, 34]
Generated Node #0,1: 62:[23, 5, 34] Operation: 47-13=34
Exploring Operation: 47+13=60, Resulting Numbers: [23, 5, 60]
Generated Node #0,2: 62:[23, 5, 60] Operation: 47+13=60
Exploring Operation: 47-23=24, Resulting Numbers: [5, 13, 24]
Generated Node #0,3: 62:[5, 13, 24] Operation: 47-23=24
Exploring Operation: 23+13=36, Resulting Numbers: [47, 5, 36]
Generated Node #0,4: 62:[47, 5, 36] Operation: 23+13=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[23, 5, 60], Operations: ['47+13=60']
Exploring Operation: 23-5=18, Resulting Numbers: [60, 18]
Generated Node #0,2,0: 62:[60, 18] Operation: 23-5=18
Exploring Operation: 23+5=28, Resulting Numbers: [60, 28]
Generated Node #0,2,1: 62:[60, 28] Operation: 23+5=28
Exploring Operation: 60-23=37, Resulting Numbers: [5, 37]
Generated Node #0,2,2: 62:[5, 37] Operation: 60-23=37
Exploring Operation: 60-5=55, Resulting Numbers: [23, 55]
Generated Node #0,2,3: 62:[23, 55] Operation: 60-5=55
Exploring Operation: 5+60=65, Resulting Numbers: [23, 65]
Generated Node #0,2,4: 62:[23, 65] Operation: 5+60=65
Moving to Node #0,2,1
Current State: 62:[60, 28], Operations: ['47+13=60', '23+5=28']
Exploring Operation: 60+28=88, Resulting Numbers: [88]
88,62 unequal: No Solution
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 60*28=1680, Resulting Numbers: [1680]
1680,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[5, 37], Operations: ['47+13=60', '60-23=37']
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,62 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Moving to Node #0,2,4
Current State: 62:[23, 65], Operations: ['47+13=60', '5+60=65']
Exploring Operation: 23*65=1495, Resulting Numbers: [1495]
1495,62 unequal: No Solution
Exploring Operation: 23+65=88, Resulting Numbers: [88]
88,62 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[60, 18], Operations: ['47+13=60', '23-5=18']
Exploring Operation: 60+18=78, Resulting Numbers: [78]
78,62 unequal: No Solution
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Exploring Operation: 60*18=1080, Resulting Numbers: [1080]
1080,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[23, 55], Operations: ['47+13=60', '60-5=55']
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 23*55=1265, Resulting Numbers: [1265]
1265,62 unequal: No Solution
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[23, 5, 34], Operations: ['47-13=34']
Exploring Operation: 23+34=57, Resulting Numbers: [5, 57]
Generated Node #0,1,0: 62:[5, 57] Operation: 23+34=57
Exploring Operation: 34-5=29, Resulting Numbers: [23, 29]
Generated Node #0,1,1: 62:[23, 29] Operation: 34-5=29
Exploring Operation: 23-5=18, Resulting Numbers: [34, 18]
Generated Node #0,1,2: 62:[34, 18] Operation: 23-5=18
Exploring Operation: 34-23=11, Resulting Numbers: [5, 11]
Generated Node #0,1,3: 62:[5, 11] Operation: 34-23=11
Exploring Operation: 23+5=28, Resulting Numbers: [34, 28]
Generated Node #0,1,4: 62:[34, 28] Operation: 23+5=28
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 62:[34, 28], Operations: ['47-13=34', '23+5=28']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[47, 23, 5, 13], Operations: []
Exploring Operation: 47-13=34, Resulting Numbers: [23, 5, 34]
Generated Node #0,1: 62:[23, 5, 34] Operation: 47-13=34
Moving to Node #0,1
Current State: 62:[23, 5, 34], Operations: ['47-13=34']
Exploring Operation: 23+5=28, Resulting Numbers: [34, 28]
Generated Node #0,1,4: 62:[34, 28] Operation: 23+5=28
Moving to Node #0,1,4
Current State: 62:[34, 28], Operations: ['47-13=34', '23+5=28']
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | sum_heuristic |
[
4,
6,
8,
87
] | 58 | [
"8-4=4",
"87*4=348",
"348/6=58"
] | Current State: 58:[4, 6, 8, 87], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [6, 87, 4]
Generated Node #2: [6, 87, 4] from Operation: 8-4=4
Current State: 58:[6, 87, 4], Operations: ['8-4=4']
Exploring Operation: 87*4=348, Resulting Numbers: [6, 348]
Generated Node #3: [6, 348] from Operation: 87*4=348
Current State: 58:[6, 348], Operations: ['8-4=4', '87*4=348']
Exploring Operation: 348/6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[4, 6, 8, 87], Operations: []
Exploring Operation: 87-8=79, Resulting Numbers: [4, 6, 79]
Generated Node #0,0: 58:[4, 6, 79] Operation: 87-8=79
Exploring Operation: 87-6=81, Resulting Numbers: [4, 8, 81]
Generated Node #0,1: 58:[4, 8, 81] Operation: 87-6=81
Exploring Operation: 8-6=2, Resulting Numbers: [4, 87, 2]
Generated Node #0,2: 58:[4, 87, 2] Operation: 8-6=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[4, 6, 79], Operations: ['87-8=79']
Exploring Operation: 79-6=73, Resulting Numbers: [4, 73]
Generated Node #0,0,0: 58:[4, 73] Operation: 79-6=73
Exploring Operation: 79-4=75, Resulting Numbers: [6, 75]
Generated Node #0,0,1: 58:[6, 75] Operation: 79-4=75
Exploring Operation: 6-4=2, Resulting Numbers: [79, 2]
Generated Node #0,0,2: 58:[79, 2] Operation: 6-4=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[4, 73], Operations: ['87-8=79', '79-6=73']
Exploring Operation: 4+73=77, Resulting Numbers: [77]
77,58 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 4*73=292, Resulting Numbers: [292]
292,58 unequal: No Solution
No 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: 58:[6, 75], Operations: ['87-8=79', '79-4=75']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 6*75=450, Resulting Numbers: [450]
450,58 unequal: No Solution
Exploring Operation: 6+75=81, Resulting Numbers: [81]
81,58 unequal: No Solution
No 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: 58:[79, 2], Operations: ['87-8=79', '6-4=2']
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,58 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,58 unequal: No Solution
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,58 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: 58:[4, 8, 81], Operations: ['87-6=81']
Exploring Operation: 8/4=2, Resulting Numbers: [81, 2]
Generated Node #0,1,0: 58:[81, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [81, 4]
Generated Node #0,1,1: 58:[81, 4] Operation: 8-4=4
Exploring Operation: 81-8=73, Resulting Numbers: [4, 73]
Generated Node #0,1,2: 58:[4, 73] Operation: 81-8=73
Moving to Node #0,1,2
Current State: 58:[4, 73], Operations: ['87-6=81', '81-8=73']
Exploring Operation: 4+73=77, Resulting Numbers: [77]
77,58 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 4*73=292, Resulting Numbers: [292]
292,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[81, 2], Operations: ['87-6=81', '8/4=2']
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,58 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,58 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[81, 4], Operations: ['87-6=81', '8-4=4']
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,58 unequal: No Solution
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,58 unequal: No Solution
Exploring Operation: 81*4=324, Resulting Numbers: [324]
324,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[4, 87, 2], Operations: ['8-6=2']
Exploring Operation: 87-4=83, Resulting Numbers: [2, 83]
Generated Node #0,2,0: 58:[2, 83] Operation: 87-4=83
Exploring Operation: 4/2=2, Resulting Numbers: [87, 2]
Generated Node #0,2,1: 58:[87, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [87, 2]
Generated Node #0,2,2: 58:[87, 2] Operation: 4-2=2
Moving to Node #0,2,0
Current State: 58:[2, 83], Operations: ['8-6=2', '87-4=83']
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,58 unequal: No Solution
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,58 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[87, 2], Operations: ['8-6=2', '4/2=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,58 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,58 unequal: No Solution
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[87, 2], Operations: ['8-6=2', '4-2=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,58 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,58 unequal: No Solution
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,58 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 |
[
15,
34,
29,
53
] | 63 | [
"34-15=19",
"29+53=82",
"82-19=63"
] | Current State: 63:[15, 34, 29, 53], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [29, 53, 19]
Generated Node #2: [29, 53, 19] from Operation: 34-15=19
Current State: 63:[29, 53, 19], Operations: ['34-15=19']
Exploring Operation: 29+53=82, Resulting Numbers: [19, 82]
Generated Node #3: [19, 82] from Operation: 29+53=82
Current State: 63:[19, 82], Operations: ['34-15=19', '29+53=82']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[15, 34, 29, 53], Operations: []
Exploring Operation: 53-34=19, Resulting Numbers: [15, 29, 19]
Generated Node #0,0: 63:[15, 29, 19] Operation: 53-34=19
Exploring Operation: 34+29=63, Resulting Numbers: [15, 53, 63]
Generated Node #0,1: 63:[15, 53, 63] Operation: 34+29=63
Exploring Operation: 34-29=5, Resulting Numbers: [15, 53, 5]
Generated Node #0,2: 63:[15, 53, 5] Operation: 34-29=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[15, 29, 19], Operations: ['53-34=19']
Exploring Operation: 29-15=14, Resulting Numbers: [19, 14]
Generated Node #0,0,0: 63:[19, 14] Operation: 29-15=14
Exploring Operation: 29-19=10, Resulting Numbers: [15, 10]
Generated Node #0,0,1: 63:[15, 10] Operation: 29-19=10
Exploring Operation: 19-15=4, Resulting Numbers: [29, 4]
Generated Node #0,0,2: 63:[29, 4] Operation: 19-15=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[19, 14], Operations: ['53-34=19', '29-15=14']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,63 unequal: No Solution
Exploring Operation: 19*14=266, Resulting Numbers: [266]
266,63 unequal: No Solution
No 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: 63:[15, 10], Operations: ['53-34=19', '29-19=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,63 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,63 unequal: No Solution
No 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: 63:[29, 4], Operations: ['53-34=19', '19-15=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,63 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,63 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,63 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: 63:[15, 53, 63], Operations: ['34+29=63']
Exploring Operation: 63-53=10, Resulting Numbers: [15, 10]
Generated Node #0,1,0: 63:[15, 10] Operation: 63-53=10
Exploring Operation: 15+53=68, Resulting Numbers: [63, 68]
Generated Node #0,1,1: 63:[63, 68] Operation: 15+53=68
Exploring Operation: 53-15=38, Resulting Numbers: [63, 38]
Generated Node #0,1,2: 63:[63, 38] Operation: 53-15=38
Moving to Node #0,1,1
Current State: 63:[63, 68], Operations: ['34+29=63', '15+53=68']
Exploring Operation: 63*68=4284, Resulting Numbers: [4284]
4284,63 unequal: No Solution
Exploring Operation: 63+68=131, Resulting Numbers: [131]
131,63 unequal: No Solution
Exploring Operation: 68-63=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[15, 10], Operations: ['34+29=63', '63-53=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[63, 38], Operations: ['34+29=63', '53-15=38']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,63 unequal: No Solution
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[15, 53, 5], Operations: ['34-29=5']
Exploring Operation: 15+53=68, Resulting Numbers: [5, 68]
Generated Node #0,2,0: 63:[5, 68] Operation: 15+53=68
Exploring Operation: 15+5=20, Resulting Numbers: [53, 20]
Generated Node #0,2,1: 63:[53, 20] Operation: 15+5=20
Exploring Operation: 15/5=3, Resulting Numbers: [53, 3]
Generated Node #0,2,2: 63:[53, 3] Operation: 15/5=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 63:[5, 68], Operations: ['34-29=5', '15+53=68']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[15, 34, 29, 53], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [15, 53, 5]
Generated Node #0,2: 63:[15, 53, 5] Operation: 34-29=5
Moving to Node #0,2
Current State: 63:[15, 53, 5], Operations: ['34-29=5']
Exploring Operation: 15+53=68, Resulting Numbers: [5, 68]
Generated Node #0,2,0: 63:[5, 68] Operation: 15+53=68
Moving to Node #0,2,0
Current State: 63:[5, 68], Operations: ['34-29=5', '15+53=68']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | mult_heuristic |
[
18,
42,
71,
62
] | 73 | [
"18+42=60",
"71+62=133",
"133-60=73"
] | Current State: 73:[18, 42, 71, 62], Operations: []
Exploring Operation: 18+42=60, Resulting Numbers: [71, 62, 60]
Generated Node #2: [71, 62, 60] from Operation: 18+42=60
Current State: 73:[71, 62, 60], Operations: ['18+42=60']
Exploring Operation: 71+62=133, Resulting Numbers: [60, 133]
Generated Node #3: [60, 133] from Operation: 71+62=133
Current State: 73:[60, 133], Operations: ['18+42=60', '71+62=133']
Exploring Operation: 133-60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[18, 42, 71, 62], Operations: []
Exploring Operation: 18+71=89, Resulting Numbers: [42, 62, 89]
Generated Node #0,0: 73:[42, 62, 89] Operation: 18+71=89
Exploring Operation: 18+42=60, Resulting Numbers: [71, 62, 60]
Generated Node #0,1: 73:[71, 62, 60] Operation: 18+42=60
Exploring Operation: 42-18=24, Resulting Numbers: [71, 62, 24]
Generated Node #0,2: 73:[71, 62, 24] Operation: 42-18=24
Exploring Operation: 18+62=80, Resulting Numbers: [42, 71, 80]
Generated Node #0,3: 73:[42, 71, 80] Operation: 18+62=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[71, 62, 60], Operations: ['18+42=60']
Exploring Operation: 71+60=131, Resulting Numbers: [62, 131]
Generated Node #0,1,0: 73:[62, 131] Operation: 71+60=131
Exploring Operation: 62+60=122, Resulting Numbers: [71, 122]
Generated Node #0,1,1: 73:[71, 122] Operation: 62+60=122
Exploring Operation: 71+62=133, Resulting Numbers: [60, 133]
Generated Node #0,1,2: 73:[60, 133] Operation: 71+62=133
Exploring Operation: 71-60=11, Resulting Numbers: [62, 11]
Generated Node #0,1,3: 73:[62, 11] Operation: 71-60=11
Moving to Node #0,1,1
Current State: 73:[71, 122], Operations: ['18+42=60', '62+60=122']
Exploring Operation: 122-71=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 71+122=193, Resulting Numbers: [193]
193,73 unequal: No Solution
Exploring Operation: 71*122=8662, Resulting Numbers: [8662]
8662,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[62, 131], Operations: ['18+42=60', '71+60=131']
Exploring Operation: 131-62=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 62*131=8122, Resulting Numbers: [8122]
8122,73 unequal: No Solution
Exploring Operation: 62+131=193, Resulting Numbers: [193]
193,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[62, 11], Operations: ['18+42=60', '71-60=11']
Exploring Operation: 62-11=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Exploring Operation: 62*11=682, Resulting Numbers: [682]
682,73 unequal: No Solution
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[18, 42, 71, 62], Operations: []
Exploring Operation: 18+42=60, Resulting Numbers: [71, 62, 60]
Generated Node #0,1: 73:[71, 62, 60] Operation: 18+42=60
Moving to Node #0,1
Current State: 73:[71, 62, 60], Operations: ['18+42=60']
Exploring Operation: 71-60=11, Resulting Numbers: [62, 11]
Generated Node #0,1,3: 73:[62, 11] Operation: 71-60=11
Moving to Node #0,1,3
Current State: 73:[62, 11], Operations: ['18+42=60', '71-60=11']
Exploring Operation: 62+11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
31,
2,
33,
38
] | 37 | [
"31+2=33",
"33/33=1",
"38-1=37"
] | Current State: 37:[31, 2, 33, 38], Operations: []
Exploring Operation: 31+2=33, Resulting Numbers: [33, 38, 33]
Generated Node #2: [33, 38, 33] from Operation: 31+2=33
Current State: 37:[33, 38, 33], Operations: ['31+2=33']
Exploring Operation: 33/33=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 33/33=1
Current State: 37:[38, 1], Operations: ['31+2=33', '33/33=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[31, 2, 33, 38], Operations: []
Exploring Operation: 31+2=33, Resulting Numbers: [33, 38, 33]
Generated Node #0,0: 37:[33, 38, 33] Operation: 31+2=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[33, 38, 33], Operations: ['31+2=33']
Exploring Operation: 33+33=66, Resulting Numbers: [38, 66]
Generated Node #0,0,0: 37:[38, 66] Operation: 33+33=66
Moving to Node #0,0,0
Current State: 37:[38, 66], Operations: ['31+2=33', '33+33=66']
Exploring Operation: 66-38=28, Resulting Numbers: [28]
28,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
41,
62,
57,
58
] | 64 | [
"57-41=16",
"62-58=4",
"16*4=64"
] | Current State: 64:[41, 62, 57, 58], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [62, 58, 16]
Generated Node #2: [62, 58, 16] from Operation: 57-41=16
Current State: 64:[62, 58, 16], Operations: ['57-41=16']
Exploring Operation: 62-58=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 62-58=4
Current State: 64:[16, 4], Operations: ['57-41=16', '62-58=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[41, 62, 57, 58], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [41, 57, 4]
Generated Node #0,0: 64:[41, 57, 4] Operation: 62-58=4
Exploring Operation: 57-41=16, Resulting Numbers: [62, 58, 16]
Generated Node #0,1: 64:[62, 58, 16] Operation: 57-41=16
Exploring Operation: 58-41=17, Resulting Numbers: [62, 57, 17]
Generated Node #0,2: 64:[62, 57, 17] Operation: 58-41=17
Exploring Operation: 62-57=5, Resulting Numbers: [41, 58, 5]
Generated Node #0,3: 64:[41, 58, 5] Operation: 62-57=5
Exploring Operation: 58-57=1, Resulting Numbers: [41, 62, 1]
Generated Node #0,4: 64:[41, 62, 1] Operation: 58-57=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[62, 58, 16], Operations: ['57-41=16']
Exploring Operation: 62-58=4, Resulting Numbers: [16, 4]
Generated Node #0,1,0: 64:[16, 4] Operation: 62-58=4
Exploring Operation: 58-16=42, Resulting Numbers: [62, 42]
Generated Node #0,1,1: 64:[62, 42] Operation: 58-16=42
Exploring Operation: 58+16=74, Resulting Numbers: [62, 74]
Generated Node #0,1,2: 64:[62, 74] Operation: 58+16=74
Exploring Operation: 62-16=46, Resulting Numbers: [58, 46]
Generated Node #0,1,3: 64:[58, 46] Operation: 62-16=46
Exploring Operation: 62+16=78, Resulting Numbers: [58, 78]
Generated Node #0,1,4: 64:[58, 78] Operation: 62+16=78
Moving to Node #0,1,0
Current State: 64:[16, 4], Operations: ['57-41=16', '62-58=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[41, 62, 57, 58], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [62, 58, 16]
Generated Node #0,1: 64:[62, 58, 16] Operation: 57-41=16
Moving to Node #0,1
Current State: 64:[62, 58, 16], Operations: ['57-41=16']
Exploring Operation: 62-58=4, Resulting Numbers: [16, 4]
Generated Node #0,1,0: 64:[16, 4] Operation: 62-58=4
Moving to Node #0,1,0
Current State: 64:[16, 4], Operations: ['57-41=16', '62-58=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
31,
43,
56,
90
] | 40 | [
"31+43=74",
"90-56=34",
"74-34=40"
] | Current State: 40:[31, 43, 56, 90], Operations: []
Exploring Operation: 31+43=74, Resulting Numbers: [56, 90, 74]
Generated Node #2: [56, 90, 74] from Operation: 31+43=74
Current State: 40:[56, 90, 74], Operations: ['31+43=74']
Exploring Operation: 90-56=34, Resulting Numbers: [74, 34]
Generated Node #3: [74, 34] from Operation: 90-56=34
Current State: 40:[74, 34], Operations: ['31+43=74', '90-56=34']
Exploring Operation: 74-34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[31, 43, 56, 90], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [31, 56, 47]
Generated Node #0,0: 40:[31, 56, 47] Operation: 90-43=47
Exploring Operation: 56-31=25, Resulting Numbers: [43, 90, 25]
Generated Node #0,1: 40:[43, 90, 25] Operation: 56-31=25
Exploring Operation: 56-43=13, Resulting Numbers: [31, 90, 13]
Generated Node #0,2: 40:[31, 90, 13] Operation: 56-43=13
Exploring Operation: 90-56=34, Resulting Numbers: [31, 43, 34]
Generated Node #0,3: 40:[31, 43, 34] Operation: 90-56=34
Exploring Operation: 90-31=59, Resulting Numbers: [43, 56, 59]
Generated Node #0,4: 40:[43, 56, 59] Operation: 90-31=59
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[31, 43, 34], Operations: ['90-56=34']
Exploring Operation: 43-34=9, Resulting Numbers: [31, 9]
Generated Node #0,3,0: 40:[31, 9] Operation: 43-34=9
Exploring Operation: 31+43=74, Resulting Numbers: [34, 74]
Generated Node #0,3,1: 40:[34, 74] Operation: 31+43=74
Exploring Operation: 31+34=65, Resulting Numbers: [43, 65]
Generated Node #0,3,2: 40:[43, 65] Operation: 31+34=65
Exploring Operation: 43-31=12, Resulting Numbers: [34, 12]
Generated Node #0,3,3: 40:[34, 12] Operation: 43-31=12
Exploring Operation: 34-31=3, Resulting Numbers: [43, 3]
Generated Node #0,3,4: 40:[43, 3] Operation: 34-31=3
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 40:[43, 3], Operations: ['90-56=34', '34-31=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,40 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,40 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[31, 43, 56, 90], Operations: []
Exploring Operation: 90-56=34, Resulting Numbers: [31, 43, 34]
Generated Node #0,3: 40:[31, 43, 34] Operation: 90-56=34
Moving to Node #0,3
Current State: 40:[31, 43, 34], Operations: ['90-56=34']
Exploring Operation: 34-31=3, Resulting Numbers: [43, 3]
Generated Node #0,3,4: 40:[43, 3] Operation: 34-31=3
Moving to Node #0,3,4
Current State: 40:[43, 3], Operations: ['90-56=34', '34-31=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
43,
97,
1,
59
] | 82 | [
"43+97=140",
"59-1=58",
"140-58=82"
] | Current State: 82:[43, 97, 1, 59], Operations: []
Exploring Operation: 43+97=140, Resulting Numbers: [1, 59, 140]
Generated Node #2: [1, 59, 140] from Operation: 43+97=140
Current State: 82:[1, 59, 140], Operations: ['43+97=140']
Exploring Operation: 59-1=58, Resulting Numbers: [140, 58]
Generated Node #3: [140, 58] from Operation: 59-1=58
Current State: 82:[140, 58], Operations: ['43+97=140', '59-1=58']
Exploring Operation: 140-58=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[43, 97, 1, 59], Operations: []
Exploring Operation: 59-43=16, Resulting Numbers: [97, 1, 16]
Generated Node #0,0: 82:[97, 1, 16] Operation: 59-43=16
Exploring Operation: 97-59=38, Resulting Numbers: [43, 1, 38]
Generated Node #0,1: 82:[43, 1, 38] Operation: 97-59=38
Moving to Node #0,1
Current State: 82:[43, 1, 38], Operations: ['97-59=38']
Exploring Operation: 43+38=81, Resulting Numbers: [1, 81]
Generated Node #0,1,0: 82:[1, 81] Operation: 43+38=81
Exploring Operation: 43-1=42, Resulting Numbers: [38, 42]
Generated Node #0,1,1: 82:[38, 42] Operation: 43-1=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[1, 81], Operations: ['97-59=38', '43+38=81']
Exploring Operation: 1+81=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[43, 97, 1, 59], Operations: []
Exploring Operation: 97-59=38, Resulting Numbers: [43, 1, 38]
Generated Node #0,1: 82:[43, 1, 38] Operation: 97-59=38
Moving to Node #0,1
Current State: 82:[43, 1, 38], Operations: ['97-59=38']
Exploring Operation: 43+38=81, Resulting Numbers: [1, 81]
Generated Node #0,1,0: 82:[1, 81] Operation: 43+38=81
Moving to Node #0,1,0
Current State: 82:[1, 81], Operations: ['97-59=38', '43+38=81']
Exploring Operation: 1+81=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
81,
51,
97,
81
] | 46 | [
"81+51=132",
"97+81=178",
"178-132=46"
] | Current State: 46:[81, 51, 97, 81], Operations: []
Exploring Operation: 81+51=132, Resulting Numbers: [97, 132]
Generated Node #2: [97, 132] from Operation: 81+51=132
Current State: 46:[97, 132], Operations: ['81+51=132']
Exploring Operation: 97+81=178, Resulting Numbers: [132, 178]
Generated Node #3: [132, 178] from Operation: 97+81=178
Current State: 46:[132, 178], Operations: ['81+51=132', '97+81=178']
Exploring Operation: 178-132=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[81, 51, 97, 81], Operations: []
Exploring Operation: 81-81=0, Resulting Numbers: [51, 97, 0]
Generated Node #0,0: 46:[51, 97, 0] Operation: 81-81=0
Exploring Operation: 81/81=1, Resulting Numbers: [51, 97, 1]
Generated Node #0,1: 46:[51, 97, 1] Operation: 81/81=1
Exploring Operation: 97-81=16, Resulting Numbers: [51, 81, 16]
Generated Node #0,2: 46:[51, 81, 16] Operation: 97-81=16
Exploring Operation: 97-81=16, Resulting Numbers: [81, 51, 16]
Generated Node #0,3: 46:[81, 51, 16] Operation: 97-81=16
Moving to Node #0,2
Current State: 46:[51, 81, 16], Operations: ['97-81=16']
Exploring Operation: 51+16=67, Resulting Numbers: [81, 67]
Generated Node #0,2,0: 46:[81, 67] Operation: 51+16=67
Exploring Operation: 51-16=35, Resulting Numbers: [81, 35]
Generated Node #0,2,1: 46:[81, 35] Operation: 51-16=35
Exploring Operation: 81-51=30, Resulting Numbers: [16, 30]
Generated Node #0,2,2: 46:[16, 30] Operation: 81-51=30
Exploring Operation: 81-16=65, Resulting Numbers: [51, 65]
Generated Node #0,2,3: 46:[51, 65] Operation: 81-16=65
Moving to Node #0,3
Current State: 46:[81, 51, 16], Operations: ['97-81=16']
Exploring Operation: 81+16=97, Resulting Numbers: [51, 97]
Generated Node #0,3,0: 46:[51, 97] Operation: 81+16=97
Exploring Operation: 81-51=30, Resulting Numbers: [16, 30]
Generated Node #0,3,1: 46:[16, 30] Operation: 81-51=30
Exploring Operation: 81-16=65, Resulting Numbers: [51, 65]
Generated Node #0,3,2: 46:[51, 65] Operation: 81-16=65
Exploring Operation: 51-16=35, Resulting Numbers: [81, 35]
Generated Node #0,3,3: 46:[81, 35] Operation: 51-16=35
Moving to Node #0,1
Current State: 46:[51, 97, 1], Operations: ['81/81=1']
Exploring Operation: 51*1=51, Resulting Numbers: [97, 51]
Generated Node #0,1,0: 46:[97, 51] Operation: 51*1=51
Exploring Operation: 97-1=96, Resulting Numbers: [51, 96]
Generated Node #0,1,1: 46:[51, 96] Operation: 97-1=96
Exploring Operation: 97-51=46, Resulting Numbers: [1, 46]
Generated Node #0,1,2: 46:[1, 46] Operation: 97-51=46
Exploring Operation: 51-1=50, Resulting Numbers: [97, 50]
Generated Node #0,1,3: 46:[97, 50] Operation: 51-1=50
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[1, 46], Operations: ['81/81=1', '97-51=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[81, 51, 97, 81], Operations: []
Exploring Operation: 81/81=1, Resulting Numbers: [51, 97, 1]
Generated Node #0,1: 46:[51, 97, 1] Operation: 81/81=1
Moving to Node #0,1
Current State: 46:[51, 97, 1], Operations: ['81/81=1']
Exploring Operation: 97-51=46, Resulting Numbers: [1, 46]
Generated Node #0,1,2: 46:[1, 46] Operation: 97-51=46
Moving to Node #0,1,2
Current State: 46:[1, 46], Operations: ['81/81=1', '97-51=46']
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
28,
66,
87,
44
] | 33 | [
"87-66=21",
"44*21=924",
"924/28=33"
] | Current State: 33:[28, 66, 87, 44], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [28, 44, 21]
Generated Node #2: [28, 44, 21] from Operation: 87-66=21
Current State: 33:[28, 44, 21], Operations: ['87-66=21']
Exploring Operation: 44*21=924, Resulting Numbers: [28, 924]
Generated Node #3: [28, 924] from Operation: 44*21=924
Current State: 33:[28, 924], Operations: ['87-66=21', '44*21=924']
Exploring Operation: 924/28=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[28, 66, 87, 44], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [28, 44, 21]
Generated Node #0,0: 33:[28, 44, 21] Operation: 87-66=21
Moving to Node #0,0
Current State: 33:[28, 44, 21], Operations: ['87-66=21']
Exploring Operation: 44-28=16, Resulting Numbers: [21, 16]
Generated Node #0,0,0: 33:[21, 16] Operation: 44-28=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[21, 16], Operations: ['87-66=21', '44-28=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
81,
28,
94,
66
] | 80 | [
"94-28=66",
"66/66=1",
"81-1=80"
] | Current State: 80:[81, 28, 94, 66], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [81, 66, 66]
Generated Node #2: [81, 66, 66] from Operation: 94-28=66
Current State: 80:[81, 66, 66], Operations: ['94-28=66']
Exploring Operation: 66/66=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 66/66=1
Current State: 80:[81, 1], Operations: ['94-28=66', '66/66=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[81, 28, 94, 66], Operations: []
Exploring Operation: 94-81=13, Resulting Numbers: [28, 66, 13]
Generated Node #0,0: 80:[28, 66, 13] Operation: 94-81=13
Exploring Operation: 66-28=38, Resulting Numbers: [81, 94, 38]
Generated Node #0,1: 80:[81, 94, 38] Operation: 66-28=38
Exploring Operation: 94-66=28, Resulting Numbers: [81, 28, 28]
Generated Node #0,2: 80:[81, 28, 28] Operation: 94-66=28
Exploring Operation: 81-66=15, Resulting Numbers: [28, 94, 15]
Generated Node #0,3: 80:[28, 94, 15] Operation: 81-66=15
Exploring Operation: 94-28=66, Resulting Numbers: [81, 66, 66]
Generated Node #0,4: 80:[81, 66, 66] Operation: 94-28=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[81, 94, 38], Operations: ['66-28=38']
Exploring Operation: 94+38=132, Resulting Numbers: [81, 132]
Generated Node #0,1,0: 80:[81, 132] Operation: 94+38=132
Exploring Operation: 81+38=119, Resulting Numbers: [94, 119]
Generated Node #0,1,1: 80:[94, 119] Operation: 81+38=119
Exploring Operation: 94-38=56, Resulting Numbers: [81, 56]
Generated Node #0,1,2: 80:[81, 56] Operation: 94-38=56
Exploring Operation: 94-81=13, Resulting Numbers: [38, 13]
Generated Node #0,1,3: 80:[38, 13] Operation: 94-81=13
Exploring Operation: 81-38=43, Resulting Numbers: [94, 43]
Generated Node #0,1,4: 80:[94, 43] Operation: 81-38=43
Moving to Node #0,1,3
Current State: 80:[38, 13], Operations: ['66-28=38', '94-81=13']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,80 unequal: No Solution
Moving to Node #0,1,4
Current State: 80:[94, 43], Operations: ['66-28=38', '81-38=43']
Exploring Operation: 94+43=137, Resulting Numbers: [137]
137,80 unequal: No Solution
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 94*43=4042, Resulting Numbers: [4042]
4042,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[81, 56], Operations: ['66-28=38', '94-38=56']
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 81+56=137, Resulting Numbers: [137]
137,80 unequal: No Solution
Exploring Operation: 81*56=4536, Resulting Numbers: [4536]
4536,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[81, 132], Operations: ['66-28=38', '94+38=132']
Exploring Operation: 132-81=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 81*132=10692, Resulting Numbers: [10692]
10692,80 unequal: No Solution
Exploring Operation: 81+132=213, Resulting Numbers: [213]
213,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[94, 119], Operations: ['66-28=38', '81+38=119']
Exploring Operation: 119-94=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 94+119=213, Resulting Numbers: [213]
213,80 unequal: No Solution
Exploring Operation: 94*119=11186, Resulting Numbers: [11186]
11186,80 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:[81, 28, 28], Operations: ['94-66=28']
Exploring Operation: 28-28=0, Resulting Numbers: [81, 0]
Generated Node #0,2,0: 80:[81, 0] Operation: 28-28=0
Exploring Operation: 81-28=53, Resulting Numbers: [28, 53]
Generated Node #0,2,1: 80:[28, 53] Operation: 81-28=53
Exploring Operation: 81-28=53, Resulting Numbers: [28, 53]
Generated Node #0,2,2: 80:[28, 53] Operation: 81-28=53
Exploring Operation: 28+28=56, Resulting Numbers: [81, 56]
Generated Node #0,2,3: 80:[81, 56] Operation: 28+28=56
Exploring Operation: 28/28=1, Resulting Numbers: [81, 1]
Generated Node #0,2,4: 80:[81, 1] Operation: 28/28=1
Moving to Node #0,2,4
Current State: 80:[81, 1], Operations: ['94-66=28', '28/28=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[81, 28, 94, 66], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [81, 28, 28]
Generated Node #0,2: 80:[81, 28, 28] Operation: 94-66=28
Moving to Node #0,2
Current State: 80:[81, 28, 28], Operations: ['94-66=28']
Exploring Operation: 28/28=1, Resulting Numbers: [81, 1]
Generated Node #0,2,4: 80:[81, 1] Operation: 28/28=1
Moving to Node #0,2,4
Current State: 80:[81, 1], Operations: ['94-66=28', '28/28=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
88,
30,
66,
38
] | 51 | [
"30+38=68",
"66*68=4488",
"4488/88=51"
] | Current State: 51:[88, 30, 66, 38], Operations: []
Exploring Operation: 30+38=68, Resulting Numbers: [88, 66, 68]
Generated Node #2: [88, 66, 68] from Operation: 30+38=68
Current State: 51:[88, 66, 68], Operations: ['30+38=68']
Exploring Operation: 66*68=4488, Resulting Numbers: [88, 4488]
Generated Node #3: [88, 4488] from Operation: 66*68=4488
Current State: 51:[88, 4488], Operations: ['30+38=68', '66*68=4488']
Exploring Operation: 4488/88=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[88, 30, 66, 38], Operations: []
Exploring Operation: 88-38=50, Resulting Numbers: [30, 66, 50]
Generated Node #0,0: 51:[30, 66, 50] Operation: 88-38=50
Exploring Operation: 88-66=22, Resulting Numbers: [30, 38, 22]
Generated Node #0,1: 51:[30, 38, 22] Operation: 88-66=22
Exploring Operation: 38-30=8, Resulting Numbers: [88, 66, 8]
Generated Node #0,2: 51:[88, 66, 8] Operation: 38-30=8
Exploring Operation: 88-30=58, Resulting Numbers: [66, 38, 58]
Generated Node #0,3: 51:[66, 38, 58] Operation: 88-30=58
Moving to Node #0,0
Current State: 51:[30, 66, 50], Operations: ['88-38=50']
Exploring Operation: 66-50=16, Resulting Numbers: [30, 16]
Generated Node #0,0,0: 51:[30, 16] Operation: 66-50=16
Exploring Operation: 66-30=36, Resulting Numbers: [50, 36]
Generated Node #0,0,1: 51:[50, 36] Operation: 66-30=36
Exploring Operation: 30+50=80, Resulting Numbers: [66, 80]
Generated Node #0,0,2: 51:[66, 80] Operation: 30+50=80
Exploring Operation: 50-30=20, Resulting Numbers: [66, 20]
Generated Node #0,0,3: 51:[66, 20] Operation: 50-30=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[30, 16], Operations: ['88-38=50', '66-50=16']
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,51 unequal: No Solution
No 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: 51:[50, 36], Operations: ['88-38=50', '66-30=36']
Exploring Operation: 50*36=1800, Resulting Numbers: [1800]
1800,51 unequal: No Solution
Exploring Operation: 50+36=86, Resulting Numbers: [86]
86,51 unequal: No Solution
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,51 unequal: No Solution
No 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: 51:[66, 20], Operations: ['88-38=50', '50-30=20']
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,51 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,51 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,51 unequal: No Solution
No 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: 51:[66, 80], Operations: ['88-38=50', '30+50=80']
Exploring Operation: 80-66=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 66*80=5280, Resulting Numbers: [5280]
5280,51 unequal: No Solution
Exploring Operation: 66+80=146, Resulting Numbers: [146]
146,51 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: 51:[30, 38, 22], Operations: ['88-66=22']
Exploring Operation: 30+22=52, Resulting Numbers: [38, 52]
Generated Node #0,1,0: 51:[38, 52] Operation: 30+22=52
Exploring Operation: 38-22=16, Resulting Numbers: [30, 16]
Generated Node #0,1,1: 51:[30, 16] Operation: 38-22=16
Exploring Operation: 30-22=8, Resulting Numbers: [38, 8]
Generated Node #0,1,2: 51:[38, 8] Operation: 30-22=8
Exploring Operation: 38-30=8, Resulting Numbers: [22, 8]
Generated Node #0,1,3: 51:[22, 8] Operation: 38-30=8
Moving to Node #0,3
Current State: 51:[66, 38, 58], Operations: ['88-30=58']
Exploring Operation: 58-38=20, Resulting Numbers: [66, 20]
Generated Node #0,3,0: 51:[66, 20] Operation: 58-38=20
Exploring Operation: 66-38=28, Resulting Numbers: [58, 28]
Generated Node #0,3,1: 51:[58, 28] Operation: 66-38=28
Exploring Operation: 66-58=8, Resulting Numbers: [38, 8]
Generated Node #0,3,2: 51:[38, 8] Operation: 66-58=8
Exploring Operation: 66+38=104, Resulting Numbers: [58, 104]
Generated Node #0,3,3: 51:[58, 104] Operation: 66+38=104
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 51:[66, 20], Operations: ['88-30=58', '58-38=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,51 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,51 unequal: No Solution
No 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: 51:[58, 28], Operations: ['88-30=58', '66-38=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,51 unequal: No Solution
Exploring Operation: 58*28=1624, Resulting Numbers: [1624]
1624,51 unequal: No Solution
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,51 unequal: No Solution
No 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: 51:[38, 8], Operations: ['88-30=58', '66-58=8']
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,51 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,51 unequal: No Solution
No 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: 51:[58, 104], Operations: ['88-30=58', '66+38=104']
Exploring Operation: 104-58=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 58*104=6032, Resulting Numbers: [6032]
6032,51 unequal: No Solution
Exploring Operation: 58+104=162, Resulting Numbers: [162]
162,51 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: 51:[88, 66, 8], Operations: ['38-30=8']
Exploring Operation: 88-66=22, Resulting Numbers: [8, 22]
Generated Node #0,2,0: 51:[8, 22] Operation: 88-66=22
Exploring Operation: 88/8=11, Resulting Numbers: [66, 11]
Generated Node #0,2,1: 51:[66, 11] Operation: 88/8=11
Exploring Operation: 66-8=58, Resulting Numbers: [88, 58]
Generated Node #0,2,2: 51:[88, 58] Operation: 66-8=58
Exploring Operation: 88-8=80, Resulting Numbers: [66, 80]
Generated Node #0,2,3: 51:[66, 80] Operation: 88-8=80
Moving to Node #0,1,3
Current State: 51:[22, 8], Operations: ['88-66=22', '38-30=8']
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,51 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[8, 22], Operations: ['38-30=8', '88-66=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 8*22=176, Resulting Numbers: [176]
176,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[30, 16], Operations: ['88-66=22', '38-22=16']
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,51 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[38, 52], Operations: ['88-66=22', '30+22=52']
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,51 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[38, 8], Operations: ['88-66=22', '30-22=8']
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,51 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[66, 11], Operations: ['38-30=8', '88/8=11']
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 66*11=726, Resulting Numbers: [726]
726,51 unequal: No Solution
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,51 unequal: No Solution
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[88, 58], Operations: ['38-30=8', '66-8=58']
Exploring Operation: 88+58=146, Resulting Numbers: [146]
146,51 unequal: No Solution
Exploring Operation: 88-58=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 88*58=5104, Resulting Numbers: [5104]
5104,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[66, 80], Operations: ['38-30=8', '88-8=80']
Exploring Operation: 66+80=146, Resulting Numbers: [146]
146,51 unequal: No Solution
Exploring Operation: 66*80=5280, Resulting Numbers: [5280]
5280,51 unequal: No Solution
Exploring Operation: 80-66=14, Resulting Numbers: [14]
14,51 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
41,
16,
53,
29
] | 81 | [
"41+16=57",
"53-29=24",
"57+24=81"
] | Current State: 81:[41, 16, 53, 29], Operations: []
Exploring Operation: 41+16=57, Resulting Numbers: [53, 29, 57]
Generated Node #2: [53, 29, 57] from Operation: 41+16=57
Current State: 81:[53, 29, 57], Operations: ['41+16=57']
Exploring Operation: 53-29=24, Resulting Numbers: [57, 24]
Generated Node #3: [57, 24] from Operation: 53-29=24
Current State: 81:[57, 24], Operations: ['41+16=57', '53-29=24']
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[41, 16, 53, 29], Operations: []
Exploring Operation: 53+29=82, Resulting Numbers: [41, 16, 82]
Generated Node #0,0: 81:[41, 16, 82] Operation: 53+29=82
Exploring Operation: 53-41=12, Resulting Numbers: [16, 29, 12]
Generated Node #0,1: 81:[16, 29, 12] Operation: 53-41=12
Exploring Operation: 53-29=24, Resulting Numbers: [41, 16, 24]
Generated Node #0,2: 81:[41, 16, 24] Operation: 53-29=24
Exploring Operation: 41+53=94, Resulting Numbers: [16, 29, 94]
Generated Node #0,3: 81:[16, 29, 94] Operation: 41+53=94
Moving to Node #0,1
Current State: 81:[16, 29, 12], Operations: ['53-41=12']
Exploring Operation: 29-16=13, Resulting Numbers: [12, 13]
Generated Node #0,1,0: 81:[12, 13] Operation: 29-16=13
Exploring Operation: 29-12=17, Resulting Numbers: [16, 17]
Generated Node #0,1,1: 81:[16, 17] Operation: 29-12=17
Exploring Operation: 16+12=28, Resulting Numbers: [29, 28]
Generated Node #0,1,2: 81:[29, 28] Operation: 16+12=28
Exploring Operation: 16-12=4, Resulting Numbers: [29, 4]
Generated Node #0,1,3: 81:[29, 4] Operation: 16-12=4
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[29, 28], Operations: ['53-41=12', '16+12=28']
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,81 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 29*28=812, Resulting Numbers: [812]
812,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 81:[29, 4], Operations: ['53-41=12', '16-12=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[12, 13], Operations: ['53-41=12', '29-16=13']
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,81 unequal: No Solution
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,81 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[16, 17], Operations: ['53-41=12', '29-12=17']
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,81 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,81 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: 81:[16, 29, 94], Operations: ['41+53=94']
Exploring Operation: 16+29=45, Resulting Numbers: [94, 45]
Generated Node #0,3,0: 81:[94, 45] Operation: 16+29=45
Exploring Operation: 29-16=13, Resulting Numbers: [94, 13]
Generated Node #0,3,1: 81:[94, 13] Operation: 29-16=13
Exploring Operation: 94-29=65, Resulting Numbers: [16, 65]
Generated Node #0,3,2: 81:[16, 65] Operation: 94-29=65
Exploring Operation: 94-16=78, Resulting Numbers: [29, 78]
Generated Node #0,3,3: 81:[29, 78] Operation: 94-16=78
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[29, 78], Operations: ['41+53=94', '94-16=78']
Exploring Operation: 29*78=2262, Resulting Numbers: [2262]
2262,81 unequal: No Solution
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Exploring Operation: 29+78=107, Resulting Numbers: [107]
107,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 81:[94, 13], Operations: ['41+53=94', '29-16=13']
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[41, 16, 53, 29], Operations: []
Exploring Operation: 41+53=94, Resulting Numbers: [16, 29, 94]
Generated Node #0,3: 81:[16, 29, 94] Operation: 41+53=94
Moving to Node #0,3
Current State: 81:[16, 29, 94], Operations: ['41+53=94']
Exploring Operation: 29-16=13, Resulting Numbers: [94, 13]
Generated Node #0,3,1: 81:[94, 13] Operation: 29-16=13
Moving to Node #0,3,1
Current State: 81:[94, 13], Operations: ['41+53=94', '29-16=13']
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
72,
90,
23,
96
] | 35 | [
"96-90=6",
"72/6=12",
"23+12=35"
] | Current State: 35:[72, 90, 23, 96], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [72, 23, 6]
Generated Node #2: [72, 23, 6] from Operation: 96-90=6
Current State: 35:[72, 23, 6], Operations: ['96-90=6']
Exploring Operation: 72/6=12, Resulting Numbers: [23, 12]
Generated Node #3: [23, 12] from Operation: 72/6=12
Current State: 35:[23, 12], Operations: ['96-90=6', '72/6=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[72, 90, 23, 96], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [90, 23, 24]
Generated Node #0,0: 35:[90, 23, 24] Operation: 96-72=24
Exploring Operation: 96-90=6, Resulting Numbers: [72, 23, 6]
Generated Node #0,1: 35:[72, 23, 6] Operation: 96-90=6
Exploring Operation: 90-72=18, Resulting Numbers: [23, 96, 18]
Generated Node #0,2: 35:[23, 96, 18] Operation: 90-72=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[72, 23, 6], Operations: ['96-90=6']
Exploring Operation: 72-23=49, Resulting Numbers: [6, 49]
Generated Node #0,1,0: 35:[6, 49] Operation: 72-23=49
Exploring Operation: 72-6=66, Resulting Numbers: [23, 66]
Generated Node #0,1,1: 35:[23, 66] Operation: 72-6=66
Exploring Operation: 72/6=12, Resulting Numbers: [23, 12]
Generated Node #0,1,2: 35:[23, 12] Operation: 72/6=12
Moving to Node #0,1,0
Current State: 35:[6, 49], Operations: ['96-90=6', '72-23=49']
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,35 unequal: No Solution
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,35 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[23, 12], Operations: ['96-90=6', '72/6=12']
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,35 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[72, 90, 23, 96], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [72, 23, 6]
Generated Node #0,1: 35:[72, 23, 6] Operation: 96-90=6
Moving to Node #0,1
Current State: 35:[72, 23, 6], Operations: ['96-90=6']
Exploring Operation: 72/6=12, Resulting Numbers: [23, 12]
Generated Node #0,1,2: 35:[23, 12] Operation: 72/6=12
Moving to Node #0,1,2
Current State: 35:[23, 12], Operations: ['96-90=6', '72/6=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
93,
3,
4,
31
] | 61 | [
"93+3=96",
"4+31=35",
"96-35=61"
] | Current State: 61:[93, 3, 4, 31], Operations: []
Exploring Operation: 93+3=96, Resulting Numbers: [4, 31, 96]
Generated Node #2: [4, 31, 96] from Operation: 93+3=96
Current State: 61:[4, 31, 96], Operations: ['93+3=96']
Exploring Operation: 4+31=35, Resulting Numbers: [96, 35]
Generated Node #3: [96, 35] from Operation: 4+31=35
Current State: 61:[96, 35], Operations: ['93+3=96', '4+31=35']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[93, 3, 4, 31], Operations: []
Exploring Operation: 3*4=12, Resulting Numbers: [93, 31, 12]
Generated Node #0,0: 61:[93, 31, 12] Operation: 3*4=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[93, 31, 12], Operations: ['3*4=12']
Exploring Operation: 93-31=62, Resulting Numbers: [12, 62]
Generated Node #0,0,0: 61:[12, 62] Operation: 93-31=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[12, 62], Operations: ['3*4=12', '93-31=62']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
12,
42,
24,
57
] | 27 | [
"12+42=54",
"24+57=81",
"81-54=27"
] | Current State: 27:[12, 42, 24, 57], Operations: []
Exploring Operation: 12+42=54, Resulting Numbers: [24, 57, 54]
Generated Node #2: [24, 57, 54] from Operation: 12+42=54
Current State: 27:[24, 57, 54], Operations: ['12+42=54']
Exploring Operation: 24+57=81, Resulting Numbers: [54, 81]
Generated Node #3: [54, 81] from Operation: 24+57=81
Current State: 27:[54, 81], Operations: ['12+42=54', '24+57=81']
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[12, 42, 24, 57], Operations: []
Exploring Operation: 57-24=33, Resulting Numbers: [12, 42, 33]
Generated Node #0,0: 27:[12, 42, 33] Operation: 57-24=33
Exploring Operation: 57-12=45, Resulting Numbers: [42, 24, 45]
Generated Node #0,1: 27:[42, 24, 45] Operation: 57-12=45
Exploring Operation: 57-42=15, Resulting Numbers: [12, 24, 15]
Generated Node #0,2: 27:[12, 24, 15] Operation: 57-42=15
Exploring Operation: 42-12=30, Resulting Numbers: [24, 57, 30]
Generated Node #0,3: 27:[24, 57, 30] Operation: 42-12=30
Moving to Node #0,2
Current State: 27:[12, 24, 15], Operations: ['57-42=15']
Exploring Operation: 24-15=9, Resulting Numbers: [12, 9]
Generated Node #0,2,0: 27:[12, 9] Operation: 24-15=9
Exploring Operation: 12+15=27, Resulting Numbers: [24, 27]
Generated Node #0,2,1: 27:[24, 27] Operation: 12+15=27
Exploring Operation: 15-12=3, Resulting Numbers: [24, 3]
Generated Node #0,2,2: 27:[24, 3] Operation: 15-12=3
Exploring Operation: 24/12=2, Resulting Numbers: [15, 2]
Generated Node #0,2,3: 27:[15, 2] Operation: 24/12=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 27:[12, 9], Operations: ['57-42=15', '24-15=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,27 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,27 unequal: No Solution
No 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: 27:[24, 27], Operations: ['57-42=15', '12+15=27']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,27 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,27 unequal: No Solution
No 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: 27:[24, 3], Operations: ['57-42=15', '15-12=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[12, 42, 24, 57], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [12, 24, 15]
Generated Node #0,2: 27:[12, 24, 15] Operation: 57-42=15
Moving to Node #0,2
Current State: 27:[12, 24, 15], Operations: ['57-42=15']
Exploring Operation: 15-12=3, Resulting Numbers: [24, 3]
Generated Node #0,2,2: 27:[24, 3] Operation: 15-12=3
Moving to Node #0,2,2
Current State: 27:[24, 3], Operations: ['57-42=15', '15-12=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
71,
40,
79,
4
] | 72 | [
"79-71=8",
"4*8=32",
"40+32=72"
] | Current State: 72:[71, 40, 79, 4], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [40, 4, 8]
Generated Node #2: [40, 4, 8] from Operation: 79-71=8
Current State: 72:[40, 4, 8], Operations: ['79-71=8']
Exploring Operation: 4*8=32, Resulting Numbers: [40, 32]
Generated Node #3: [40, 32] from Operation: 4*8=32
Current State: 72:[40, 32], Operations: ['79-71=8', '4*8=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[71, 40, 79, 4], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [40, 4, 8]
Generated Node #0,0: 72:[40, 4, 8] Operation: 79-71=8
Moving to Node #0,0
Current State: 72:[40, 4, 8], Operations: ['79-71=8']
Exploring Operation: 40-4=36, Resulting Numbers: [8, 36]
Generated Node #0,0,0: 72:[8, 36] Operation: 40-4=36
Moving to Node #0,0,0
Current State: 72:[8, 36], Operations: ['79-71=8', '40-4=36']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,72 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
85,
33,
78
] | 56 | [
"16+85=101",
"78-33=45",
"101-45=56"
] | Current State: 56:[16, 85, 33, 78], Operations: []
Exploring Operation: 16+85=101, Resulting Numbers: [33, 78, 101]
Generated Node #2: [33, 78, 101] from Operation: 16+85=101
Current State: 56:[33, 78, 101], Operations: ['16+85=101']
Exploring Operation: 78-33=45, Resulting Numbers: [101, 45]
Generated Node #3: [101, 45] from Operation: 78-33=45
Current State: 56:[101, 45], Operations: ['16+85=101', '78-33=45']
Exploring Operation: 101-45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[16, 85, 33, 78], Operations: []
Exploring Operation: 85-78=7, Resulting Numbers: [16, 33, 7]
Generated Node #0,0: 56:[16, 33, 7] Operation: 85-78=7
Moving to Node #0,0
Current State: 56:[16, 33, 7], Operations: ['85-78=7']
Exploring Operation: 33-16=17, Resulting Numbers: [7, 17]
Generated Node #0,0,0: 56:[7, 17] Operation: 33-16=17
Moving to Node #0,0,0
Current State: 56:[7, 17], Operations: ['85-78=7', '33-16=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,56 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
26,
62,
13,
14
] | 89 | [
"26+62=88",
"14-13=1",
"88+1=89"
] | Current State: 89:[26, 62, 13, 14], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [13, 14, 88]
Generated Node #2: [13, 14, 88] from Operation: 26+62=88
Current State: 89:[13, 14, 88], Operations: ['26+62=88']
Exploring Operation: 14-13=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 14-13=1
Current State: 89:[88, 1], Operations: ['26+62=88', '14-13=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[26, 62, 13, 14], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [13, 14, 88]
Generated Node #0,0: 89:[13, 14, 88] Operation: 26+62=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[13, 14, 88], Operations: ['26+62=88']
Exploring Operation: 13+14=27, Resulting Numbers: [88, 27]
Generated Node #0,0,0: 89:[88, 27] Operation: 13+14=27
Moving to Node #0,0,0
Current State: 89:[88, 27], Operations: ['26+62=88', '13+14=27']
Exploring Operation: 88+27=115, Resulting Numbers: [115]
115,89 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 |
[
21,
26,
87,
3
] | 72 | [
"26-21=5",
"3*5=15",
"87-15=72"
] | Current State: 72:[21, 26, 87, 3], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [87, 3, 5]
Generated Node #2: [87, 3, 5] from Operation: 26-21=5
Current State: 72:[87, 3, 5], Operations: ['26-21=5']
Exploring Operation: 3*5=15, Resulting Numbers: [87, 15]
Generated Node #3: [87, 15] from Operation: 3*5=15
Current State: 72:[87, 15], Operations: ['26-21=5', '3*5=15']
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[21, 26, 87, 3], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [26, 3, 66]
Generated Node #0,0: 72:[26, 3, 66] Operation: 87-21=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[26, 3, 66], Operations: ['87-21=66']
Exploring Operation: 66-26=40, Resulting Numbers: [3, 40]
Generated Node #0,0,0: 72:[3, 40] Operation: 66-26=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[3, 40], Operations: ['87-21=66', '66-26=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,72 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 |
[
11,
60,
47,
3
] | 78 | [
"11+47=58",
"60/3=20",
"58+20=78"
] | Current State: 78:[11, 60, 47, 3], Operations: []
Exploring Operation: 11+47=58, Resulting Numbers: [60, 3, 58]
Generated Node #2: [60, 3, 58] from Operation: 11+47=58
Current State: 78:[60, 3, 58], Operations: ['11+47=58']
Exploring Operation: 60/3=20, Resulting Numbers: [58, 20]
Generated Node #3: [58, 20] from Operation: 60/3=20
Current State: 78:[58, 20], Operations: ['11+47=58', '60/3=20']
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[11, 60, 47, 3], Operations: []
Exploring Operation: 60-47=13, Resulting Numbers: [11, 3, 13]
Generated Node #0,0: 78:[11, 3, 13] Operation: 60-47=13
Exploring Operation: 60-11=49, Resulting Numbers: [47, 3, 49]
Generated Node #0,1: 78:[47, 3, 49] Operation: 60-11=49
Exploring Operation: 60/3=20, Resulting Numbers: [11, 47, 20]
Generated Node #0,2: 78:[11, 47, 20] Operation: 60/3=20
Exploring Operation: 11+60=71, Resulting Numbers: [47, 3, 71]
Generated Node #0,3: 78:[47, 3, 71] Operation: 11+60=71
Moving to Node #0,0
Current State: 78:[11, 3, 13], Operations: ['60-47=13']
Exploring Operation: 11+3=14, Resulting Numbers: [13, 14]
Generated Node #0,0,0: 78:[13, 14] Operation: 11+3=14
Exploring Operation: 11-3=8, Resulting Numbers: [13, 8]
Generated Node #0,0,1: 78:[13, 8] Operation: 11-3=8
Exploring Operation: 13-11=2, Resulting Numbers: [3, 2]
Generated Node #0,0,2: 78:[3, 2] Operation: 13-11=2
Exploring Operation: 11+13=24, Resulting Numbers: [3, 24]
Generated Node #0,0,3: 78:[3, 24] Operation: 11+13=24
Moving to Node #0,3
Current State: 78:[47, 3, 71], Operations: ['11+60=71']
Exploring Operation: 47+3=50, Resulting Numbers: [71, 50]
Generated Node #0,3,0: 78:[71, 50] Operation: 47+3=50
Exploring Operation: 3+71=74, Resulting Numbers: [47, 74]
Generated Node #0,3,1: 78:[47, 74] Operation: 3+71=74
Exploring Operation: 47-3=44, Resulting Numbers: [71, 44]
Generated Node #0,3,2: 78:[71, 44] Operation: 47-3=44
Exploring Operation: 71-47=24, Resulting Numbers: [3, 24]
Generated Node #0,3,3: 78:[3, 24] Operation: 71-47=24
Moving to Node #0,2
Current State: 78:[11, 47, 20], Operations: ['60/3=20']
Exploring Operation: 47-11=36, Resulting Numbers: [20, 36]
Generated Node #0,2,0: 78:[20, 36] Operation: 47-11=36
Exploring Operation: 11+20=31, Resulting Numbers: [47, 31]
Generated Node #0,2,1: 78:[47, 31] Operation: 11+20=31
Exploring Operation: 20-11=9, Resulting Numbers: [47, 9]
Generated Node #0,2,2: 78:[47, 9] Operation: 20-11=9
Exploring Operation: 47-20=27, Resulting Numbers: [11, 27]
Generated Node #0,2,3: 78:[11, 27] Operation: 47-20=27
Moving to Node #0,1
Current State: 78:[47, 3, 49], Operations: ['60-11=49']
Exploring Operation: 49-3=46, Resulting Numbers: [47, 46]
Generated Node #0,1,0: 78:[47, 46] Operation: 49-3=46
Exploring Operation: 47-3=44, Resulting Numbers: [49, 44]
Generated Node #0,1,1: 78:[49, 44] Operation: 47-3=44
Exploring Operation: 49-47=2, Resulting Numbers: [3, 2]
Generated Node #0,1,2: 78:[3, 2] Operation: 49-47=2
Exploring Operation: 47+49=96, Resulting Numbers: [3, 96]
Generated Node #0,1,3: 78:[3, 96] Operation: 47+49=96
Moving to Node #0,0,2
Current State: 78:[3, 2], Operations: ['60-47=13', '13-11=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[3, 2], Operations: ['60-11=49', '49-47=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[13, 14], Operations: ['60-47=13', '11+3=14']
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,78 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[13, 8], Operations: ['60-47=13', '11-3=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,78 unequal: No Solution
Moving to Node #0,3,3
Current State: 78:[3, 24], Operations: ['11+60=71', '71-47=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[3, 24], Operations: ['60-47=13', '11+13=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,78 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Moving to Node #0,2,3
Current State: 78:[11, 27], Operations: ['60/3=20', '47-20=27']
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,78 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[20, 36], Operations: ['60/3=20', '47-11=36']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[47, 9], Operations: ['60/3=20', '20-11=9']
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,78 unequal: No Solution
Exploring Operation: 47*9=423, Resulting Numbers: [423]
423,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[71, 44], Operations: ['11+60=71', '47-3=44']
Exploring Operation: 71-44=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Exploring Operation: 71*44=3124, Resulting Numbers: [3124]
3124,78 unequal: No Solution
Exploring Operation: 71+44=115, Resulting Numbers: [115]
115,78 unequal: No Solution
Moving to Node #0,3,1
Current State: 78:[47, 74], Operations: ['11+60=71', '3+71=74']
Exploring Operation: 47*74=3478, Resulting Numbers: [3478]
3478,78 unequal: No Solution
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,78 unequal: No Solution
Exploring Operation: 47+74=121, Resulting Numbers: [121]
121,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[47, 31], Operations: ['60/3=20', '11+20=31']
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[11, 60, 47, 3], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [11, 47, 20]
Generated Node #0,2: 78:[11, 47, 20] Operation: 60/3=20
Moving to Node #0,2
Current State: 78:[11, 47, 20], Operations: ['60/3=20']
Exploring Operation: 11+20=31, Resulting Numbers: [47, 31]
Generated Node #0,2,1: 78:[47, 31] Operation: 11+20=31
Moving to Node #0,2,1
Current State: 78:[47, 31], Operations: ['60/3=20', '11+20=31']
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.947917 | hs_4 | sum_heuristic |
[
94,
60,
40,
6
] | 86 | [
"94+60=154",
"40*6=240",
"240-154=86"
] | Current State: 86:[94, 60, 40, 6], Operations: []
Exploring Operation: 94+60=154, Resulting Numbers: [40, 6, 154]
Generated Node #2: [40, 6, 154] from Operation: 94+60=154
Current State: 86:[40, 6, 154], Operations: ['94+60=154']
Exploring Operation: 40*6=240, Resulting Numbers: [154, 240]
Generated Node #3: [154, 240] from Operation: 40*6=240
Current State: 86:[154, 240], Operations: ['94+60=154', '40*6=240']
Exploring Operation: 240-154=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[94, 60, 40, 6], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [40, 6, 34]
Generated Node #0,0: 86:[40, 6, 34] Operation: 94-60=34
Moving to Node #0,0
Current State: 86:[40, 6, 34], Operations: ['94-60=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40, 40]
Generated Node #0,0,0: 86:[40, 40] Operation: 6+34=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[40, 40], Operations: ['94-60=34', '6+34=40']
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,86 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 |
[
4,
6,
38,
36
] | 13 | [
"4+38=42",
"36+42=78",
"78/6=13"
] | Current State: 13:[4, 6, 38, 36], Operations: []
Exploring Operation: 4+38=42, Resulting Numbers: [6, 36, 42]
Generated Node #2: [6, 36, 42] from Operation: 4+38=42
Current State: 13:[6, 36, 42], Operations: ['4+38=42']
Exploring Operation: 36+42=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 36+42=78
Current State: 13:[6, 78], Operations: ['4+38=42', '36+42=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[4, 6, 38, 36], Operations: []
Exploring Operation: 36/4=9, Resulting Numbers: [6, 38, 9]
Generated Node #0,0: 13:[6, 38, 9] Operation: 36/4=9
Exploring Operation: 36/6=6, Resulting Numbers: [4, 38, 6]
Generated Node #0,1: 13:[4, 38, 6] Operation: 36/6=6
Exploring Operation: 4+6=10, Resulting Numbers: [38, 36, 10]
Generated Node #0,2: 13:[38, 36, 10] Operation: 4+6=10
Exploring Operation: 38-36=2, Resulting Numbers: [4, 6, 2]
Generated Node #0,3: 13:[4, 6, 2] Operation: 38-36=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[4, 6, 2], Operations: ['38-36=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6, 6]
Generated Node #0,3,0: 13:[6, 6] Operation: 4+2=6
Exploring Operation: 4+6=10, Resulting Numbers: [2, 10]
Generated Node #0,3,1: 13:[2, 10] Operation: 4+6=10
Exploring Operation: 6*2=12, Resulting Numbers: [4, 12]
Generated Node #0,3,2: 13:[4, 12] Operation: 6*2=12
Exploring Operation: 4*2=8, Resulting Numbers: [6, 8]
Generated Node #0,3,3: 13:[6, 8] Operation: 4*2=8
Moving to Node #0,3,2
Current State: 13:[4, 12], Operations: ['38-36=2', '6*2=12']
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[6, 8], Operations: ['38-36=2', '4*2=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Moving to Node #0,3,1
Current State: 13:[2, 10], Operations: ['38-36=2', '4+6=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[6, 6], Operations: ['38-36=2', '4+2=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,13 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[6, 38, 9], Operations: ['36/4=9']
Exploring Operation: 38-6=32, Resulting Numbers: [9, 32]
Generated Node #0,0,0: 13:[9, 32] Operation: 38-6=32
Exploring Operation: 6+38=44, Resulting Numbers: [9, 44]
Generated Node #0,0,1: 13:[9, 44] Operation: 6+38=44
Exploring Operation: 6+9=15, Resulting Numbers: [38, 15]
Generated Node #0,0,2: 13:[38, 15] Operation: 6+9=15
Exploring Operation: 38-9=29, Resulting Numbers: [6, 29]
Generated Node #0,0,3: 13:[6, 29] Operation: 38-9=29
Moving to Node #0,0,0
Current State: 13:[9, 32], Operations: ['36/4=9', '38-6=32']
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Exploring Operation: 9*32=288, Resulting Numbers: [288]
288,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[6, 29], Operations: ['36/4=9', '38-9=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,13 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[38, 15], Operations: ['36/4=9', '6+9=15']
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,13 unequal: No Solution
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,13 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[9, 44], Operations: ['36/4=9', '6+38=44']
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,13 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[4, 38, 6], Operations: ['36/6=6']
Exploring Operation: 4+38=42, Resulting Numbers: [6, 42]
Generated Node #0,1,0: 13:[6, 42] Operation: 4+38=42
Exploring Operation: 38-6=32, Resulting Numbers: [4, 32]
Generated Node #0,1,1: 13:[4, 32] Operation: 38-6=32
Exploring Operation: 4+6=10, Resulting Numbers: [38, 10]
Generated Node #0,1,2: 13:[38, 10] Operation: 4+6=10
Exploring Operation: 38-4=34, Resulting Numbers: [6, 34]
Generated Node #0,1,3: 13:[6, 34] Operation: 38-4=34
Moving to Node #0,1,1
Current State: 13:[4, 32], Operations: ['36/6=6', '38-6=32']
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 4*32=128, Resulting Numbers: [128]
128,13 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Moving to Node #0,1,3
Current State: 13:[6, 34], Operations: ['36/6=6', '38-4=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,13 unequal: No Solution
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[38, 10], Operations: ['36/6=6', '4+6=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,13 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[6, 42], Operations: ['36/6=6', '4+38=42']
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 6*42=252, Resulting Numbers: [252]
252,13 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[38, 36, 10], Operations: ['4+6=10']
Exploring Operation: 36-10=26, Resulting Numbers: [38, 26]
Generated Node #0,2,0: 13:[38, 26] Operation: 36-10=26
Exploring Operation: 38-10=28, Resulting Numbers: [36, 28]
Generated Node #0,2,1: 13:[36, 28] Operation: 38-10=28
Exploring Operation: 38-36=2, Resulting Numbers: [10, 2]
Generated Node #0,2,2: 13:[10, 2] Operation: 38-36=2
Exploring Operation: 38+10=48, Resulting Numbers: [36, 48]
Generated Node #0,2,3: 13:[36, 48] Operation: 38+10=48
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 13:[10, 2], Operations: ['4+6=10', '38-36=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,13 unequal: No Solution
No 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: 13:[38, 26], Operations: ['4+6=10', '36-10=26']
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,13 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,13 unequal: No Solution
No 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: 13:[36, 28], Operations: ['4+6=10', '38-10=28']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,13 unequal: No Solution
Exploring Operation: 36*28=1008, Resulting Numbers: [1008]
1008,13 unequal: No Solution
No 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: 13:[36, 48], Operations: ['4+6=10', '38+10=48']
Exploring Operation: 36+48=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 36*48=1728, Resulting Numbers: [1728]
1728,13 unequal: No Solution
Exploring Operation: 48-36=12, Resulting Numbers: [12]
12,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
78,
5,
45,
66
] | 38 | [
"78-5=73",
"45+66=111",
"111-73=38"
] | Current State: 38:[78, 5, 45, 66], Operations: []
Exploring Operation: 78-5=73, Resulting Numbers: [45, 66, 73]
Generated Node #2: [45, 66, 73] from Operation: 78-5=73
Current State: 38:[45, 66, 73], Operations: ['78-5=73']
Exploring Operation: 45+66=111, Resulting Numbers: [73, 111]
Generated Node #3: [73, 111] from Operation: 45+66=111
Current State: 38:[73, 111], Operations: ['78-5=73', '45+66=111']
Exploring Operation: 111-73=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[78, 5, 45, 66], Operations: []
Exploring Operation: 78-66=12, Resulting Numbers: [5, 45, 12]
Generated Node #0,0: 38:[5, 45, 12] Operation: 78-66=12
Exploring Operation: 78-45=33, Resulting Numbers: [5, 66, 33]
Generated Node #0,1: 38:[5, 66, 33] Operation: 78-45=33
Moving to Node #0,0
Current State: 38:[5, 45, 12], Operations: ['78-66=12']
Exploring Operation: 45-5=40, Resulting Numbers: [12, 40]
Generated Node #0,0,0: 38:[12, 40] Operation: 45-5=40
Exploring Operation: 45-12=33, Resulting Numbers: [5, 33]
Generated Node #0,0,1: 38:[5, 33] Operation: 45-12=33
Moving to Node #0,1
Current State: 38:[5, 66, 33], Operations: ['78-45=33']
Exploring Operation: 66/33=2, Resulting Numbers: [5, 2]
Generated Node #0,1,0: 38:[5, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [5, 33]
Generated Node #0,1,1: 38:[5, 33] Operation: 66-33=33
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[5, 2], Operations: ['78-45=33', '66/33=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[5, 33], Operations: ['78-45=33', '66-33=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[78, 5, 45, 66], Operations: []
Exploring Operation: 78-45=33, Resulting Numbers: [5, 66, 33]
Generated Node #0,1: 38:[5, 66, 33] Operation: 78-45=33
Moving to Node #0,1
Current State: 38:[5, 66, 33], Operations: ['78-45=33']
Exploring Operation: 66-33=33, Resulting Numbers: [5, 33]
Generated Node #0,1,1: 38:[5, 33] Operation: 66-33=33
Moving to Node #0,1,1
Current State: 38:[5, 33], Operations: ['78-45=33', '66-33=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | sum_heuristic |
[
3,
95,
5,
14
] | 30 | [
"14-3=11",
"95/5=19",
"11+19=30"
] | Current State: 30:[3, 95, 5, 14], Operations: []
Exploring Operation: 14-3=11, Resulting Numbers: [95, 5, 11]
Generated Node #2: [95, 5, 11] from Operation: 14-3=11
Current State: 30:[95, 5, 11], Operations: ['14-3=11']
Exploring Operation: 95/5=19, Resulting Numbers: [11, 19]
Generated Node #3: [11, 19] from Operation: 95/5=19
Current State: 30:[11, 19], Operations: ['14-3=11', '95/5=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[3, 95, 5, 14], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [3, 5, 81]
Generated Node #0,0: 30:[3, 5, 81] Operation: 95-14=81
Exploring Operation: 95/5=19, Resulting Numbers: [3, 14, 19]
Generated Node #0,1: 30:[3, 14, 19] Operation: 95/5=19
Moving to Node #0,1
Current State: 30:[3, 14, 19], Operations: ['95/5=19']
Exploring Operation: 19-14=5, Resulting Numbers: [3, 5]
Generated Node #0,1,0: 30:[3, 5] Operation: 19-14=5
Exploring Operation: 19-3=16, Resulting Numbers: [14, 16]
Generated Node #0,1,1: 30:[14, 16] Operation: 19-3=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[3, 5], Operations: ['95/5=19', '19-14=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[14, 16], Operations: ['95/5=19', '19-3=16']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[3, 95, 5, 14], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [3, 14, 19]
Generated Node #0,1: 30:[3, 14, 19] Operation: 95/5=19
Moving to Node #0,1
Current State: 30:[3, 14, 19], Operations: ['95/5=19']
Exploring Operation: 19-3=16, Resulting Numbers: [14, 16]
Generated Node #0,1,1: 30:[14, 16] Operation: 19-3=16
Moving to Node #0,1,1
Current State: 30:[14, 16], Operations: ['95/5=19', '19-3=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
62,
57,
70,
65
] | 57 | [
"62-57=5",
"65/5=13",
"70-13=57"
] | Current State: 57:[62, 57, 70, 65], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [70, 65, 5]
Generated Node #2: [70, 65, 5] from Operation: 62-57=5
Current State: 57:[70, 65, 5], Operations: ['62-57=5']
Exploring Operation: 65/5=13, Resulting Numbers: [70, 13]
Generated Node #3: [70, 13] from Operation: 65/5=13
Current State: 57:[70, 13], Operations: ['62-57=5', '65/5=13']
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[62, 57, 70, 65], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [57, 70, 3]
Generated Node #0,0: 57:[57, 70, 3] Operation: 65-62=3
Exploring Operation: 70-62=8, Resulting Numbers: [57, 65, 8]
Generated Node #0,1: 57:[57, 65, 8] Operation: 70-62=8
Exploring Operation: 70-57=13, Resulting Numbers: [62, 65, 13]
Generated Node #0,2: 57:[62, 65, 13] Operation: 70-57=13
Exploring Operation: 70-65=5, Resulting Numbers: [62, 57, 5]
Generated Node #0,3: 57:[62, 57, 5] Operation: 70-65=5
Moving to Node #0,3
Current State: 57:[62, 57, 5], Operations: ['70-65=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57, 57]
Generated Node #0,3,0: 57:[57, 57] Operation: 62-5=57
Exploring Operation: 57+5=62, Resulting Numbers: [62, 62]
Generated Node #0,3,1: 57:[62, 62] Operation: 57+5=62
Exploring Operation: 62+5=67, Resulting Numbers: [57, 67]
Generated Node #0,3,2: 57:[57, 67] Operation: 62+5=67
Exploring Operation: 62-57=5, Resulting Numbers: [5, 5]
Generated Node #0,3,3: 57:[5, 5] Operation: 62-57=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 57:[57, 57], Operations: ['70-65=5', '62-5=57']
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 57+57=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 57*57=3249, Resulting Numbers: [3249]
3249,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 57:[5, 5], Operations: ['70-65=5', '62-57=5']
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 57:[62, 62], Operations: ['70-65=5', '57+5=62']
Exploring Operation: 62-62=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 62+62=124, Resulting Numbers: [124]
124,57 unequal: No Solution
Exploring Operation: 62*62=3844, Resulting Numbers: [3844]
3844,57 unequal: No Solution
Exploring Operation: 62/62=1, Resulting Numbers: [1]
1,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 57:[57, 67], Operations: ['70-65=5', '62+5=67']
Exploring Operation: 67-57=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 57*67=3819, Resulting Numbers: [3819]
3819,57 unequal: No Solution
Exploring Operation: 57+67=124, Resulting Numbers: [124]
124,57 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: 57:[57, 65, 8], Operations: ['70-62=8']
Exploring Operation: 65-57=8, Resulting Numbers: [8, 8]
Generated Node #0,1,0: 57:[8, 8] Operation: 65-57=8
Exploring Operation: 57-8=49, Resulting Numbers: [65, 49]
Generated Node #0,1,1: 57:[65, 49] Operation: 57-8=49
Exploring Operation: 57+8=65, Resulting Numbers: [65, 65]
Generated Node #0,1,2: 57:[65, 65] Operation: 57+8=65
Exploring Operation: 65-8=57, Resulting Numbers: [57, 57]
Generated Node #0,1,3: 57:[57, 57] Operation: 65-8=57
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 57:[57, 57], Operations: ['70-62=8', '65-8=57']
Exploring Operation: 57/57=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 57*57=3249, Resulting Numbers: [3249]
3249,57 unequal: No Solution
Exploring Operation: 57-57=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 57+57=114, Resulting Numbers: [114]
114,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[8, 8], Operations: ['70-62=8', '65-57=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[65, 49], Operations: ['70-62=8', '57-8=49']
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 57:[65, 65], Operations: ['70-62=8', '57+8=65']
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,57 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,57 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,57 unequal: No Solution
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,57 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: 57:[57, 70, 3], Operations: ['65-62=3']
Exploring Operation: 70-57=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 57:[3, 13] Operation: 70-57=13
Exploring Operation: 70-3=67, Resulting Numbers: [57, 67]
Generated Node #0,0,1: 57:[57, 67] Operation: 70-3=67
Exploring Operation: 57+3=60, Resulting Numbers: [70, 60]
Generated Node #0,0,2: 57:[70, 60] Operation: 57+3=60
Exploring Operation: 57/3=19, Resulting Numbers: [70, 19]
Generated Node #0,0,3: 57:[70, 19] Operation: 57/3=19
Moving to Node #0,2
Current State: 57:[62, 65, 13], Operations: ['70-57=13']
Exploring Operation: 65/13=5, Resulting Numbers: [62, 5]
Generated Node #0,2,0: 57:[62, 5] Operation: 65/13=5
Exploring Operation: 65-62=3, Resulting Numbers: [13, 3]
Generated Node #0,2,1: 57:[13, 3] Operation: 65-62=3
Exploring Operation: 62-13=49, Resulting Numbers: [65, 49]
Generated Node #0,2,2: 57:[65, 49] Operation: 62-13=49
Exploring Operation: 65-13=52, Resulting Numbers: [62, 52]
Generated Node #0,2,3: 57:[62, 52] Operation: 65-13=52
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[13, 3], Operations: ['70-57=13', '65-62=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,57 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[62, 5], Operations: ['70-57=13', '65/13=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[62, 57, 70, 65], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [62, 65, 13]
Generated Node #0,2: 57:[62, 65, 13] Operation: 70-57=13
Moving to Node #0,2
Current State: 57:[62, 65, 13], Operations: ['70-57=13']
Exploring Operation: 65/13=5, Resulting Numbers: [62, 5]
Generated Node #0,2,0: 57:[62, 5] Operation: 65/13=5
Moving to Node #0,2,0
Current State: 57:[62, 5], Operations: ['70-57=13', '65/13=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.949653 | hs_4 | sum_heuristic |
[
8,
14,
44,
1
] | 77 | [
"8*1=8",
"14*44=616",
"616/8=77"
] | Current State: 77:[8, 14, 44, 1], Operations: []
Exploring Operation: 8*1=8, Resulting Numbers: [14, 44, 8]
Generated Node #2: [14, 44, 8] from Operation: 8*1=8
Current State: 77:[14, 44, 8], Operations: ['8*1=8']
Exploring Operation: 14*44=616, Resulting Numbers: [8, 616]
Generated Node #3: [8, 616] from Operation: 14*44=616
Current State: 77:[8, 616], Operations: ['8*1=8', '14*44=616']
Exploring Operation: 616/8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[8, 14, 44, 1], Operations: []
Exploring Operation: 8-1=7, Resulting Numbers: [14, 44, 7]
Generated Node #0,0: 77:[14, 44, 7] Operation: 8-1=7
Exploring Operation: 14+44=58, Resulting Numbers: [8, 1, 58]
Generated Node #0,1: 77:[8, 1, 58] Operation: 14+44=58
Exploring Operation: 8+44=52, Resulting Numbers: [14, 1, 52]
Generated Node #0,2: 77:[14, 1, 52] Operation: 8+44=52
Exploring Operation: 44-14=30, Resulting Numbers: [8, 1, 30]
Generated Node #0,3: 77:[8, 1, 30] Operation: 44-14=30
Exploring Operation: 44-8=36, Resulting Numbers: [14, 1, 36]
Generated Node #0,4: 77:[14, 1, 36] Operation: 44-8=36
Moving to Node #0,1
Current State: 77:[8, 1, 58], Operations: ['14+44=58']
Exploring Operation: 8-1=7, Resulting Numbers: [58, 7]
Generated Node #0,1,0: 77:[58, 7] Operation: 8-1=7
Exploring Operation: 8*1=8, Resulting Numbers: [58, 8]
Generated Node #0,1,1: 77:[58, 8] Operation: 8*1=8
Exploring Operation: 1+58=59, Resulting Numbers: [8, 59]
Generated Node #0,1,2: 77:[8, 59] Operation: 1+58=59
Exploring Operation: 8/1=8, Resulting Numbers: [58, 8]
Generated Node #0,1,3: 77:[58, 8] Operation: 8/1=8
Exploring Operation: 8+58=66, Resulting Numbers: [1, 66]
Generated Node #0,1,4: 77:[1, 66] Operation: 8+58=66
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 77:[1, 66], Operations: ['14+44=58', '8+58=66']
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 1+66=67, Resulting Numbers: [67]
67,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[58, 7], Operations: ['14+44=58', '8-1=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[8, 59], Operations: ['14+44=58', '1+58=59']
Exploring Operation: 8*59=472, Resulting Numbers: [472]
472,77 unequal: No Solution
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[58, 8], Operations: ['14+44=58', '8*1=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 77:[58, 8], Operations: ['14+44=58', '8/1=8']
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,77 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 77:[8, 1, 30], Operations: ['44-14=30']
Exploring Operation: 8-1=7, Resulting Numbers: [30, 7]
Generated Node #0,3,0: 77:[30, 7] Operation: 8-1=7
Exploring Operation: 8/1=8, Resulting Numbers: [30, 8]
Generated Node #0,3,1: 77:[30, 8] Operation: 8/1=8
Exploring Operation: 30-1=29, Resulting Numbers: [8, 29]
Generated Node #0,3,2: 77:[8, 29] Operation: 30-1=29
Exploring Operation: 8*1=8, Resulting Numbers: [30, 8]
Generated Node #0,3,3: 77:[30, 8] Operation: 8*1=8
Exploring Operation: 30-8=22, Resulting Numbers: [1, 22]
Generated Node #0,3,4: 77:[1, 22] Operation: 30-8=22
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 77:[1, 22], Operations: ['44-14=30', '30-8=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 1+22=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 77:[30, 7], Operations: ['44-14=30', '8-1=7']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 77:[8, 29], Operations: ['44-14=30', '30-1=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 77:[30, 8], Operations: ['44-14=30', '8/1=8']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 77:[30, 8], Operations: ['44-14=30', '8*1=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 77:[14, 1, 52], Operations: ['8+44=52']
Exploring Operation: 14-1=13, Resulting Numbers: [52, 13]
Generated Node #0,2,0: 77:[52, 13] Operation: 14-1=13
Exploring Operation: 14*1=14, Resulting Numbers: [52, 14]
Generated Node #0,2,1: 77:[52, 14] Operation: 14*1=14
Exploring Operation: 14/1=14, Resulting Numbers: [52, 14]
Generated Node #0,2,2: 77:[52, 14] Operation: 14/1=14
Exploring Operation: 14+52=66, Resulting Numbers: [1, 66]
Generated Node #0,2,3: 77:[1, 66] Operation: 14+52=66
Exploring Operation: 1+52=53, Resulting Numbers: [14, 53]
Generated Node #0,2,4: 77:[14, 53] Operation: 1+52=53
Moving to Node #0,4
Current State: 77:[14, 1, 36], Operations: ['44-8=36']
Exploring Operation: 36-1=35, Resulting Numbers: [14, 35]
Generated Node #0,4,0: 77:[14, 35] Operation: 36-1=35
Exploring Operation: 14/1=14, Resulting Numbers: [36, 14]
Generated Node #0,4,1: 77:[36, 14] Operation: 14/1=14
Exploring Operation: 14*1=14, Resulting Numbers: [36, 14]
Generated Node #0,4,2: 77:[36, 14] Operation: 14*1=14
Exploring Operation: 14-1=13, Resulting Numbers: [36, 13]
Generated Node #0,4,3: 77:[36, 13] Operation: 14-1=13
Exploring Operation: 36-14=22, Resulting Numbers: [1, 22]
Generated Node #0,4,4: 77:[1, 22] Operation: 36-14=22
Moving to Node #0,0
Current State: 77:[14, 44, 7], Operations: ['8-1=7']
Exploring Operation: 14+44=58, Resulting Numbers: [7, 58]
Generated Node #0,0,0: 77:[7, 58] Operation: 14+44=58
Exploring Operation: 44-7=37, Resulting Numbers: [14, 37]
Generated Node #0,0,1: 77:[14, 37] Operation: 44-7=37
Exploring Operation: 44-14=30, Resulting Numbers: [7, 30]
Generated Node #0,0,2: 77:[7, 30] Operation: 44-14=30
Exploring Operation: 44+7=51, Resulting Numbers: [14, 51]
Generated Node #0,0,3: 77:[14, 51] Operation: 44+7=51
Exploring Operation: 14-7=7, Resulting Numbers: [44, 7]
Generated Node #0,0,4: 77:[44, 7] Operation: 14-7=7
Moving to Node #0,2,3
Current State: 77:[1, 66], Operations: ['8+44=52', '14+52=66']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 1+66=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Moving to Node #0,4,4
Current State: 77:[1, 22], Operations: ['44-8=36', '36-14=22']
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Exploring Operation: 1+22=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[7, 30], Operations: ['8-1=7', '44-14=30']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 7*30=210, Resulting Numbers: [210]
210,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[7, 58], Operations: ['8-1=7', '14+44=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 7*58=406, Resulting Numbers: [406]
406,77 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Moving to Node #0,4,0
Current State: 77:[14, 35], Operations: ['44-8=36', '36-1=35']
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,77 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,77 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Moving to Node #0,2,4
Current State: 77:[14, 53], Operations: ['8+44=52', '1+52=53']
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[52, 13], Operations: ['8+44=52', '14-1=13']
Exploring Operation: 52+13=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 52/13=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 52*13=676, Resulting Numbers: [676]
676,77 unequal: No Solution
Moving to Node #0,4,3
Current State: 77:[36, 13], Operations: ['44-8=36', '14-1=13']
Exploring Operation: 36*13=468, Resulting Numbers: [468]
468,77 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 36+13=49, Resulting Numbers: [49]
49,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[52, 14], Operations: ['8+44=52', '14/1=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 52*14=728, Resulting Numbers: [728]
728,77 unequal: No Solution
Moving to Node #0,4,2
Current State: 77:[36, 14], Operations: ['44-8=36', '14*1=14']
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,77 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[52, 14], Operations: ['8+44=52', '14*1=14']
Exploring Operation: 52*14=728, Resulting Numbers: [728]
728,77 unequal: No Solution
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Moving to Node #0,4,1
Current State: 77:[36, 14], Operations: ['44-8=36', '14/1=14']
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,77 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[14, 51], Operations: ['8-1=7', '44+7=51']
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,77 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[14, 37], Operations: ['8-1=7', '44-7=37']
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,77 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Moving to Node #0,0,4
Current State: 77:[44, 7], Operations: ['8-1=7', '14-7=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,77 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,77 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
25,
82,
93,
1
] | 35 | [
"82-25=57",
"93-1=92",
"92-57=35"
] | Current State: 35:[25, 82, 93, 1], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [93, 1, 57]
Generated Node #2: [93, 1, 57] from Operation: 82-25=57
Current State: 35:[93, 1, 57], Operations: ['82-25=57']
Exploring Operation: 93-1=92, Resulting Numbers: [57, 92]
Generated Node #3: [57, 92] from Operation: 93-1=92
Current State: 35:[57, 92], Operations: ['82-25=57', '93-1=92']
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[25, 82, 93, 1], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [93, 1, 57]
Generated Node #0,0: 35:[93, 1, 57] Operation: 82-25=57
Exploring Operation: 93-82=11, Resulting Numbers: [25, 1, 11]
Generated Node #0,1: 35:[25, 1, 11] Operation: 93-82=11
Moving to Node #0,1
Current State: 35:[25, 1, 11], Operations: ['93-82=11']
Exploring Operation: 25+11=36, Resulting Numbers: [1, 36]
Generated Node #0,1,0: 35:[1, 36] Operation: 25+11=36
Exploring Operation: 25-11=14, Resulting Numbers: [1, 14]
Generated Node #0,1,1: 35:[1, 14] Operation: 25-11=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[1, 36], Operations: ['93-82=11', '25+11=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[25, 82, 93, 1], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [25, 1, 11]
Generated Node #0,1: 35:[25, 1, 11] Operation: 93-82=11
Moving to Node #0,1
Current State: 35:[25, 1, 11], Operations: ['93-82=11']
Exploring Operation: 25+11=36, Resulting Numbers: [1, 36]
Generated Node #0,1,0: 35:[1, 36] Operation: 25+11=36
Moving to Node #0,1,0
Current State: 35:[1, 36], Operations: ['93-82=11', '25+11=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
53,
1,
38,
73
] | 87 | [
"53-1=52",
"73-38=35",
"52+35=87"
] | Current State: 87:[53, 1, 38, 73], Operations: []
Exploring Operation: 53-1=52, Resulting Numbers: [38, 73, 52]
Generated Node #2: [38, 73, 52] from Operation: 53-1=52
Current State: 87:[38, 73, 52], Operations: ['53-1=52']
Exploring Operation: 73-38=35, Resulting Numbers: [52, 35]
Generated Node #3: [52, 35] from Operation: 73-38=35
Current State: 87:[52, 35], Operations: ['53-1=52', '73-38=35']
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[53, 1, 38, 73], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [53, 1, 35]
Generated Node #0,0: 87:[53, 1, 35] Operation: 73-38=35
Exploring Operation: 53-38=15, Resulting Numbers: [1, 73, 15]
Generated Node #0,1: 87:[1, 73, 15] Operation: 53-38=15
Exploring Operation: 73-53=20, Resulting Numbers: [1, 38, 20]
Generated Node #0,2: 87:[1, 38, 20] Operation: 73-53=20
Exploring Operation: 53-1=52, Resulting Numbers: [38, 73, 52]
Generated Node #0,3: 87:[38, 73, 52] Operation: 53-1=52
Exploring Operation: 53+38=91, Resulting Numbers: [1, 73, 91]
Generated Node #0,4: 87:[1, 73, 91] Operation: 53+38=91
Moving to Node #0,2
Current State: 87:[1, 38, 20], Operations: ['73-53=20']
Exploring Operation: 38-20=18, Resulting Numbers: [1, 18]
Generated Node #0,2,0: 87:[1, 18] Operation: 38-20=18
Exploring Operation: 38-1=37, Resulting Numbers: [20, 37]
Generated Node #0,2,1: 87:[20, 37] Operation: 38-1=37
Exploring Operation: 1+20=21, Resulting Numbers: [38, 21]
Generated Node #0,2,2: 87:[38, 21] Operation: 1+20=21
Exploring Operation: 1*38=38, Resulting Numbers: [20, 38]
Generated Node #0,2,3: 87:[20, 38] Operation: 1*38=38
Exploring Operation: 38/1=38, Resulting Numbers: [20, 38]
Generated Node #0,2,4: 87:[20, 38] Operation: 38/1=38
Moving to Node #0,4
Current State: 87:[1, 73, 91], Operations: ['53+38=91']
Exploring Operation: 1*73=73, Resulting Numbers: [91, 73]
Generated Node #0,4,0: 87:[91, 73] Operation: 1*73=73
Exploring Operation: 91-73=18, Resulting Numbers: [1, 18]
Generated Node #0,4,1: 87:[1, 18] Operation: 91-73=18
Exploring Operation: 73/1=73, Resulting Numbers: [91, 73]
Generated Node #0,4,2: 87:[91, 73] Operation: 73/1=73
Exploring Operation: 91-1=90, Resulting Numbers: [73, 90]
Generated Node #0,4,3: 87:[73, 90] Operation: 91-1=90
Exploring Operation: 1+73=74, Resulting Numbers: [91, 74]
Generated Node #0,4,4: 87:[91, 74] Operation: 1+73=74
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 87:[1, 18], Operations: ['53+38=91', '91-73=18']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 87:[73, 90], Operations: ['53+38=91', '91-1=90']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 73+90=163, Resulting Numbers: [163]
163,87 unequal: No Solution
Exploring Operation: 73*90=6570, Resulting Numbers: [6570]
6570,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 87:[91, 74], Operations: ['53+38=91', '1+73=74']
Exploring Operation: 91+74=165, Resulting Numbers: [165]
165,87 unequal: No Solution
Exploring Operation: 91*74=6734, Resulting Numbers: [6734]
6734,87 unequal: No Solution
Exploring Operation: 91-74=17, Resulting Numbers: [17]
17,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 87:[91, 73], Operations: ['53+38=91', '1*73=73']
Exploring Operation: 91+73=164, Resulting Numbers: [164]
164,87 unequal: No Solution
Exploring Operation: 91-73=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 91*73=6643, Resulting Numbers: [6643]
6643,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 87:[91, 73], Operations: ['53+38=91', '73/1=73']
Exploring Operation: 91-73=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 91*73=6643, Resulting Numbers: [6643]
6643,87 unequal: No Solution
Exploring Operation: 91+73=164, Resulting Numbers: [164]
164,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 87:[1, 73, 15], Operations: ['53-38=15']
Exploring Operation: 1*73=73, Resulting Numbers: [15, 73]
Generated Node #0,1,0: 87:[15, 73] Operation: 1*73=73
Exploring Operation: 1+73=74, Resulting Numbers: [15, 74]
Generated Node #0,1,1: 87:[15, 74] Operation: 1+73=74
Exploring Operation: 73/1=73, Resulting Numbers: [15, 73]
Generated Node #0,1,2: 87:[15, 73] Operation: 73/1=73
Exploring Operation: 73+15=88, Resulting Numbers: [1, 88]
Generated Node #0,1,3: 87:[1, 88] Operation: 73+15=88
Exploring Operation: 15-1=14, Resulting Numbers: [73, 14]
Generated Node #0,1,4: 87:[73, 14] Operation: 15-1=14
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 87:[1, 88], Operations: ['53-38=15', '73+15=88']
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,87 unequal: No Solution
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[53, 1, 38, 73], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [1, 73, 15]
Generated Node #0,1: 87:[1, 73, 15] Operation: 53-38=15
Moving to Node #0,1
Current State: 87:[1, 73, 15], Operations: ['53-38=15']
Exploring Operation: 73+15=88, Resulting Numbers: [1, 88]
Generated Node #0,1,3: 87:[1, 88] Operation: 73+15=88
Moving to Node #0,1,3
Current State: 87:[1, 88], Operations: ['53-38=15', '73+15=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
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