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 |
|---|---|---|---|---|---|---|---|---|
[
16,
11,
85,
24
] | 88 | [
"16+11=27",
"85-24=61",
"27+61=88"
] | Current State: 88:[16, 11, 85, 24], Operations: []
Exploring Operation: 16+11=27, Resulting Numbers: [85, 24, 27]
Generated Node #2: [85, 24, 27] from Operation: 16+11=27
Current State: 88:[85, 24, 27], Operations: ['16+11=27']
Exploring Operation: 85-24=61, Resulting Numbers: [27, 61]
Generated Node #3: [27, 61] from Operation: 85-24=61
Current State: 88:[27, 61], Operations: ['16+11=27', '85-24=61']
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[16, 11, 85, 24], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [11, 85, 8]
Generated Node #0,0: 88:[11, 85, 8] Operation: 24-16=8
Exploring Operation: 16-11=5, Resulting Numbers: [85, 24, 5]
Generated Node #0,1: 88:[85, 24, 5] Operation: 16-11=5
Moving to Node #0,0
Current State: 88:[11, 85, 8], Operations: ['24-16=8']
Exploring Operation: 11*8=88, Resulting Numbers: [85, 88]
Generated Node #0,0,0: 88:[85, 88] Operation: 11*8=88
Exploring Operation: 11-8=3, Resulting Numbers: [85, 3]
Generated Node #0,0,1: 88:[85, 3] Operation: 11-8=3
Moving to Node #0,1
Current State: 88:[85, 24, 5], Operations: ['16-11=5']
Exploring Operation: 24-5=19, Resulting Numbers: [85, 19]
Generated Node #0,1,0: 88:[85, 19] Operation: 24-5=19
Exploring Operation: 85+5=90, Resulting Numbers: [24, 90]
Generated Node #0,1,1: 88:[24, 90] Operation: 85+5=90
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[24, 90], Operations: ['16-11=5', '85+5=90']
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,88 unequal: No Solution
Exploring Operation: 24+90=114, Resulting Numbers: [114]
114,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[85, 19], Operations: ['16-11=5', '24-5=19']
Exploring Operation: 85+19=104, Resulting Numbers: [104]
104,88 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,88 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: 88:[85, 88], Operations: ['24-16=8', '11*8=88']
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,88 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[85, 3], Operations: ['24-16=8', '11-8=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,88 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[16, 11, 85, 24], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [11, 85, 8]
Generated Node #0,0: 88:[11, 85, 8] Operation: 24-16=8
Moving to Node #0,0
Current State: 88:[11, 85, 8], Operations: ['24-16=8']
Exploring Operation: 11-8=3, Resulting Numbers: [85, 3]
Generated Node #0,0,1: 88:[85, 3] Operation: 11-8=3
Moving to Node #0,0,1
Current State: 88:[85, 3], Operations: ['24-16=8', '11-8=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
94,
20,
4,
60
] | 29 | [
"94-60=34",
"20/4=5",
"34-5=29"
] | Current State: 29:[94, 20, 4, 60], Operations: []
Exploring Operation: 94-60=34, Resulting Numbers: [20, 4, 34]
Generated Node #2: [20, 4, 34] from Operation: 94-60=34
Current State: 29:[20, 4, 34], Operations: ['94-60=34']
Exploring Operation: 20/4=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 20/4=5
Current State: 29:[34, 5], Operations: ['94-60=34', '20/4=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[94, 20, 4, 60], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [94, 20, 15]
Generated Node #0,0: 29:[94, 20, 15] Operation: 60/4=15
Exploring Operation: 94-60=34, Resulting Numbers: [20, 4, 34]
Generated Node #0,1: 29:[20, 4, 34] Operation: 94-60=34
Moving to Node #0,1
Current State: 29:[20, 4, 34], Operations: ['94-60=34']
Exploring Operation: 20+4=24, Resulting Numbers: [34, 24]
Generated Node #0,1,0: 29:[34, 24] Operation: 20+4=24
Exploring Operation: 34-4=30, Resulting Numbers: [20, 30]
Generated Node #0,1,1: 29:[20, 30] Operation: 34-4=30
Moving to Node #0,0
Current State: 29:[94, 20, 15], Operations: ['60/4=15']
Exploring Operation: 94-15=79, Resulting Numbers: [20, 79]
Generated Node #0,0,0: 29:[20, 79] Operation: 94-15=79
Exploring Operation: 94-20=74, Resulting Numbers: [15, 74]
Generated Node #0,0,1: 29:[15, 74] Operation: 94-20=74
Moving to Node #0,1,0
Current State: 29:[34, 24], Operations: ['94-60=34', '20+4=24']
Exploring Operation: 34+24=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[20, 30], Operations: ['94-60=34', '34-4=30']
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[15, 74], Operations: ['60/4=15', '94-20=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,29 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[20, 79], Operations: ['60/4=15', '94-15=79']
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,29 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,29 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
17,
10,
27,
56
] | 76 | [
"17-10=7",
"27+56=83",
"83-7=76"
] | Current State: 76:[17, 10, 27, 56], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [27, 56, 7]
Generated Node #2: [27, 56, 7] from Operation: 17-10=7
Current State: 76:[27, 56, 7], Operations: ['17-10=7']
Exploring Operation: 27+56=83, Resulting Numbers: [7, 83]
Generated Node #3: [7, 83] from Operation: 27+56=83
Current State: 76:[7, 83], Operations: ['17-10=7', '27+56=83']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[17, 10, 27, 56], Operations: []
Exploring Operation: 27+56=83, Resulting Numbers: [17, 10, 83]
Generated Node #0,0: 76:[17, 10, 83] Operation: 27+56=83
Exploring Operation: 17+56=73, Resulting Numbers: [10, 27, 73]
Generated Node #0,1: 76:[10, 27, 73] Operation: 17+56=73
Exploring Operation: 56-17=39, Resulting Numbers: [10, 27, 39]
Generated Node #0,2: 76:[10, 27, 39] Operation: 56-17=39
Moving to Node #0,0
Current State: 76:[17, 10, 83], Operations: ['27+56=83']
Exploring Operation: 17-10=7, Resulting Numbers: [83, 7]
Generated Node #0,0,0: 76:[83, 7] Operation: 17-10=7
Exploring Operation: 83-10=73, Resulting Numbers: [17, 73]
Generated Node #0,0,1: 76:[17, 73] Operation: 83-10=73
Exploring Operation: 17+10=27, Resulting Numbers: [83, 27]
Generated Node #0,0,2: 76:[83, 27] Operation: 17+10=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[17, 73], Operations: ['27+56=83', '83-10=73']
Exploring Operation: 17+73=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 17*73=1241, Resulting Numbers: [1241]
1241,76 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[83, 7], Operations: ['27+56=83', '17-10=7']
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,76 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[17, 10, 27, 56], Operations: []
Exploring Operation: 27+56=83, Resulting Numbers: [17, 10, 83]
Generated Node #0,0: 76:[17, 10, 83] Operation: 27+56=83
Moving to Node #0,0
Current State: 76:[17, 10, 83], Operations: ['27+56=83']
Exploring Operation: 17-10=7, Resulting Numbers: [83, 7]
Generated Node #0,0,0: 76:[83, 7] Operation: 17-10=7
Moving to Node #0,0,0
Current State: 76:[83, 7], Operations: ['27+56=83', '17-10=7']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
8,
76,
68,
21
] | 24 | [
"8*21=168",
"76+68=144",
"168-144=24"
] | Current State: 24:[8, 76, 68, 21], Operations: []
Exploring Operation: 8*21=168, Resulting Numbers: [76, 68, 168]
Generated Node #2: [76, 68, 168] from Operation: 8*21=168
Current State: 24:[76, 68, 168], Operations: ['8*21=168']
Exploring Operation: 76+68=144, Resulting Numbers: [168, 144]
Generated Node #3: [168, 144] from Operation: 76+68=144
Current State: 24:[168, 144], Operations: ['8*21=168', '76+68=144']
Exploring Operation: 168-144=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[8, 76, 68, 21], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [8, 21, 8]
Generated Node #0,0: 24:[8, 21, 8] Operation: 76-68=8
Moving to Node #0,0
Current State: 24:[8, 21, 8], Operations: ['76-68=8']
Exploring Operation: 21-8=13, Resulting Numbers: [8, 13]
Generated Node #0,0,0: 24:[8, 13] Operation: 21-8=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[8, 13], Operations: ['76-68=8', '21-8=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,24 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 |
[
68,
54,
66,
45
] | 97 | [
"68-54=14",
"66+45=111",
"111-14=97"
] | Current State: 97:[68, 54, 66, 45], Operations: []
Exploring Operation: 68-54=14, Resulting Numbers: [66, 45, 14]
Generated Node #2: [66, 45, 14] from Operation: 68-54=14
Current State: 97:[66, 45, 14], Operations: ['68-54=14']
Exploring Operation: 66+45=111, Resulting Numbers: [14, 111]
Generated Node #3: [14, 111] from Operation: 66+45=111
Current State: 97:[14, 111], Operations: ['68-54=14', '66+45=111']
Exploring Operation: 111-14=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[68, 54, 66, 45], Operations: []
Exploring Operation: 54+45=99, Resulting Numbers: [68, 66, 99]
Generated Node #0,0: 97:[68, 66, 99] Operation: 54+45=99
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[68, 66, 99], Operations: ['54+45=99']
Exploring Operation: 68+66=134, Resulting Numbers: [99, 134]
Generated Node #0,0,0: 97:[99, 134] Operation: 68+66=134
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[99, 134], Operations: ['54+45=99', '68+66=134']
Exploring Operation: 134-99=35, Resulting Numbers: [35]
35,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
31,
12,
83,
84
] | 18 | [
"31-12=19",
"84-83=1",
"19-1=18"
] | Current State: 18:[31, 12, 83, 84], Operations: []
Exploring Operation: 31-12=19, Resulting Numbers: [83, 84, 19]
Generated Node #2: [83, 84, 19] from Operation: 31-12=19
Current State: 18:[83, 84, 19], Operations: ['31-12=19']
Exploring Operation: 84-83=1, Resulting Numbers: [19, 1]
Generated Node #3: [19, 1] from Operation: 84-83=1
Current State: 18:[19, 1], Operations: ['31-12=19', '84-83=1']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[31, 12, 83, 84], Operations: []
Exploring Operation: 83-31=52, Resulting Numbers: [12, 84, 52]
Generated Node #0,0: 18:[12, 84, 52] Operation: 83-31=52
Exploring Operation: 84-31=53, Resulting Numbers: [12, 83, 53]
Generated Node #0,1: 18:[12, 83, 53] Operation: 84-31=53
Exploring Operation: 84/12=7, Resulting Numbers: [31, 83, 7]
Generated Node #0,2: 18:[31, 83, 7] Operation: 84/12=7
Exploring Operation: 84-83=1, Resulting Numbers: [31, 12, 1]
Generated Node #0,3: 18:[31, 12, 1] Operation: 84-83=1
Moving to Node #0,3
Current State: 18:[31, 12, 1], Operations: ['84-83=1']
Exploring Operation: 31-12=19, Resulting Numbers: [1, 19]
Generated Node #0,3,0: 18:[1, 19] Operation: 31-12=19
Exploring Operation: 12-1=11, Resulting Numbers: [31, 11]
Generated Node #0,3,1: 18:[31, 11] Operation: 12-1=11
Exploring Operation: 31*1=31, Resulting Numbers: [12, 31]
Generated Node #0,3,2: 18:[12, 31] Operation: 31*1=31
Exploring Operation: 31-1=30, Resulting Numbers: [12, 30]
Generated Node #0,3,3: 18:[12, 30] Operation: 31-1=30
Moving to Node #0,2
Current State: 18:[31, 83, 7], Operations: ['84/12=7']
Exploring Operation: 83-7=76, Resulting Numbers: [31, 76]
Generated Node #0,2,0: 18:[31, 76] Operation: 83-7=76
Exploring Operation: 31-7=24, Resulting Numbers: [83, 24]
Generated Node #0,2,1: 18:[83, 24] Operation: 31-7=24
Exploring Operation: 31+7=38, Resulting Numbers: [83, 38]
Generated Node #0,2,2: 18:[83, 38] Operation: 31+7=38
Exploring Operation: 83-31=52, Resulting Numbers: [7, 52]
Generated Node #0,2,3: 18:[7, 52] Operation: 83-31=52
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 18:[7, 52], Operations: ['84/12=7', '83-31=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[31, 76], Operations: ['84/12=7', '83-7=76']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 31*76=2356, Resulting Numbers: [2356]
2356,18 unequal: No Solution
Exploring Operation: 31+76=107, Resulting Numbers: [107]
107,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[83, 24], Operations: ['84/12=7', '31-7=24']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,18 unequal: No Solution
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[83, 38], Operations: ['84/12=7', '31+7=38']
Exploring Operation: 83*38=3154, Resulting Numbers: [3154]
3154,18 unequal: No Solution
Exploring Operation: 83+38=121, Resulting Numbers: [121]
121,18 unequal: No Solution
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 18:[12, 83, 53], Operations: ['84-31=53']
Exploring Operation: 83-53=30, Resulting Numbers: [12, 30]
Generated Node #0,1,0: 18:[12, 30] Operation: 83-53=30
Exploring Operation: 12+83=95, Resulting Numbers: [53, 95]
Generated Node #0,1,1: 18:[53, 95] Operation: 12+83=95
Exploring Operation: 83-12=71, Resulting Numbers: [53, 71]
Generated Node #0,1,2: 18:[53, 71] Operation: 83-12=71
Exploring Operation: 53-12=41, Resulting Numbers: [83, 41]
Generated Node #0,1,3: 18:[83, 41] Operation: 53-12=41
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[12, 30], Operations: ['84-31=53', '83-53=30']
Exploring Operation: 12*30=360, Resulting Numbers: [360]
360,18 unequal: No Solution
Exploring Operation: 12+30=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[31, 12, 83, 84], Operations: []
Exploring Operation: 84-31=53, Resulting Numbers: [12, 83, 53]
Generated Node #0,1: 18:[12, 83, 53] Operation: 84-31=53
Moving to Node #0,1
Current State: 18:[12, 83, 53], Operations: ['84-31=53']
Exploring Operation: 83-53=30, Resulting Numbers: [12, 30]
Generated Node #0,1,0: 18:[12, 30] Operation: 83-53=30
Moving to Node #0,1,0
Current State: 18:[12, 30], Operations: ['84-31=53', '83-53=30']
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
63,
75,
37,
14
] | 39 | [
"75-63=12",
"37+14=51",
"51-12=39"
] | Current State: 39:[63, 75, 37, 14], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [37, 14, 12]
Generated Node #2: [37, 14, 12] from Operation: 75-63=12
Current State: 39:[37, 14, 12], Operations: ['75-63=12']
Exploring Operation: 37+14=51, Resulting Numbers: [12, 51]
Generated Node #3: [12, 51] from Operation: 37+14=51
Current State: 39:[12, 51], Operations: ['75-63=12', '37+14=51']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[63, 75, 37, 14], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [37, 14, 12]
Generated Node #0,0: 39:[37, 14, 12] Operation: 75-63=12
Moving to Node #0,0
Current State: 39:[37, 14, 12], Operations: ['75-63=12']
Exploring Operation: 14-12=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 39:[37, 2] Operation: 14-12=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[37, 2], Operations: ['75-63=12', '14-12=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[63, 75, 37, 14], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [37, 14, 12]
Generated Node #0,0: 39:[37, 14, 12] Operation: 75-63=12
Moving to Node #0,0
Current State: 39:[37, 14, 12], Operations: ['75-63=12']
Exploring Operation: 14-12=2, Resulting Numbers: [37, 2]
Generated Node #0,0,0: 39:[37, 2] Operation: 14-12=2
Moving to Node #0,0,0
Current State: 39:[37, 2], Operations: ['75-63=12', '14-12=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
41,
58,
92,
87
] | 60 | [
"87-41=46",
"92/46=2",
"58+2=60"
] | Current State: 60:[41, 58, 92, 87], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [58, 92, 46]
Generated Node #2: [58, 92, 46] from Operation: 87-41=46
Current State: 60:[58, 92, 46], Operations: ['87-41=46']
Exploring Operation: 92/46=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 92/46=2
Current State: 60:[58, 2], Operations: ['87-41=46', '92/46=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[41, 58, 92, 87], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [58, 87, 51]
Generated Node #0,0: 60:[58, 87, 51] Operation: 92-41=51
Exploring Operation: 92-58=34, Resulting Numbers: [41, 87, 34]
Generated Node #0,1: 60:[41, 87, 34] Operation: 92-58=34
Exploring Operation: 92-87=5, Resulting Numbers: [41, 58, 5]
Generated Node #0,2: 60:[41, 58, 5] Operation: 92-87=5
Exploring Operation: 87-58=29, Resulting Numbers: [41, 92, 29]
Generated Node #0,3: 60:[41, 92, 29] Operation: 87-58=29
Exploring Operation: 87-41=46, Resulting Numbers: [58, 92, 46]
Generated Node #0,4: 60:[58, 92, 46] Operation: 87-41=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[41, 58, 5], Operations: ['92-87=5']
Exploring Operation: 58+5=63, Resulting Numbers: [41, 63]
Generated Node #0,2,0: 60:[41, 63] Operation: 58+5=63
Exploring Operation: 58-5=53, Resulting Numbers: [41, 53]
Generated Node #0,2,1: 60:[41, 53] Operation: 58-5=53
Exploring Operation: 58-41=17, Resulting Numbers: [5, 17]
Generated Node #0,2,2: 60:[5, 17] Operation: 58-41=17
Exploring Operation: 41+5=46, Resulting Numbers: [58, 46]
Generated Node #0,2,3: 60:[58, 46] Operation: 41+5=46
Exploring Operation: 41-5=36, Resulting Numbers: [58, 36]
Generated Node #0,2,4: 60:[58, 36] Operation: 41-5=36
Moving to Node #0,2,2
Current State: 60:[5, 17], Operations: ['92-87=5', '58-41=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,60 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Moving to Node #0,2,4
Current State: 60:[58, 36], Operations: ['92-87=5', '41-5=36']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[41, 63], Operations: ['92-87=5', '58+5=63']
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,60 unequal: No Solution
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,60 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Moving to Node #0,2,3
Current State: 60:[58, 46], Operations: ['92-87=5', '41+5=46']
Exploring Operation: 58*46=2668, Resulting Numbers: [2668]
2668,60 unequal: No Solution
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 58+46=104, Resulting Numbers: [104]
104,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[41, 53], Operations: ['92-87=5', '58-5=53']
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 41*53=2173, Resulting Numbers: [2173]
2173,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[58, 87, 51], Operations: ['92-41=51']
Exploring Operation: 87-58=29, Resulting Numbers: [51, 29]
Generated Node #0,0,0: 60:[51, 29] Operation: 87-58=29
Exploring Operation: 87+51=138, Resulting Numbers: [58, 138]
Generated Node #0,0,1: 60:[58, 138] Operation: 87+51=138
Exploring Operation: 87-51=36, Resulting Numbers: [58, 36]
Generated Node #0,0,2: 60:[58, 36] Operation: 87-51=36
Exploring Operation: 58+51=109, Resulting Numbers: [87, 109]
Generated Node #0,0,3: 60:[87, 109] Operation: 58+51=109
Exploring Operation: 58-51=7, Resulting Numbers: [87, 7]
Generated Node #0,0,4: 60:[87, 7] Operation: 58-51=7
Moving to Node #0,0,2
Current State: 60:[58, 36], Operations: ['92-41=51', '87-51=36']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,60 unequal: No Solution
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[51, 29], Operations: ['92-41=51', '87-58=29']
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,60 unequal: No Solution
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Moving to Node #0,0,4
Current State: 60:[87, 7], Operations: ['92-41=51', '58-51=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 87*7=609, Resulting Numbers: [609]
609,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[87, 109], Operations: ['92-41=51', '58+51=109']
Exploring Operation: 109-87=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 87+109=196, Resulting Numbers: [196]
196,60 unequal: No Solution
Exploring Operation: 87*109=9483, Resulting Numbers: [9483]
9483,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[58, 138], Operations: ['92-41=51', '87+51=138']
Exploring Operation: 138-58=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Exploring Operation: 58*138=8004, Resulting Numbers: [8004]
8004,60 unequal: No Solution
Exploring Operation: 58+138=196, Resulting Numbers: [196]
196,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[41, 87, 34], Operations: ['92-58=34']
Exploring Operation: 41+34=75, Resulting Numbers: [87, 75]
Generated Node #0,1,0: 60:[87, 75] Operation: 41+34=75
Exploring Operation: 41+87=128, Resulting Numbers: [34, 128]
Generated Node #0,1,1: 60:[34, 128] Operation: 41+87=128
Exploring Operation: 41-34=7, Resulting Numbers: [87, 7]
Generated Node #0,1,2: 60:[87, 7] Operation: 41-34=7
Exploring Operation: 87-34=53, Resulting Numbers: [41, 53]
Generated Node #0,1,3: 60:[41, 53] Operation: 87-34=53
Exploring Operation: 87-41=46, Resulting Numbers: [34, 46]
Generated Node #0,1,4: 60:[34, 46] Operation: 87-41=46
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 60:[41, 53], Operations: ['92-58=34', '87-34=53']
Exploring Operation: 41*53=2173, Resulting Numbers: [2173]
2173,60 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 60:[34, 46], Operations: ['92-58=34', '87-41=46']
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Exploring Operation: 34*46=1564, Resulting Numbers: [1564]
1564,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[87, 7], Operations: ['92-58=34', '41-34=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,60 unequal: No Solution
Exploring Operation: 87*7=609, Resulting Numbers: [609]
609,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[87, 75], Operations: ['92-58=34', '41+34=75']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,60 unequal: No Solution
Exploring Operation: 87+75=162, Resulting Numbers: [162]
162,60 unequal: No Solution
Exploring Operation: 87*75=6525, Resulting Numbers: [6525]
6525,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[34, 128], Operations: ['92-58=34', '41+87=128']
Exploring Operation: 34+128=162, Resulting Numbers: [162]
162,60 unequal: No Solution
Exploring Operation: 34*128=4352, Resulting Numbers: [4352]
4352,60 unequal: No Solution
Exploring Operation: 128-34=94, Resulting Numbers: [94]
94,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 60:[41, 92, 29], Operations: ['87-58=29']
Exploring Operation: 92-29=63, Resulting Numbers: [41, 63]
Generated Node #0,3,0: 60:[41, 63] Operation: 92-29=63
Exploring Operation: 41-29=12, Resulting Numbers: [92, 12]
Generated Node #0,3,1: 60:[92, 12] Operation: 41-29=12
Exploring Operation: 92+29=121, Resulting Numbers: [41, 121]
Generated Node #0,3,2: 60:[41, 121] Operation: 92+29=121
Exploring Operation: 92-41=51, Resulting Numbers: [29, 51]
Generated Node #0,3,3: 60:[29, 51] Operation: 92-41=51
Exploring Operation: 41+29=70, Resulting Numbers: [92, 70]
Generated Node #0,3,4: 60:[92, 70] Operation: 41+29=70
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 60:[29, 51], Operations: ['87-58=29', '92-41=51']
Exploring Operation: 29*51=1479, Resulting Numbers: [1479]
1479,60 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 60:[41, 63], Operations: ['87-58=29', '92-29=63']
Exploring Operation: 41+63=104, Resulting Numbers: [104]
104,60 unequal: No Solution
Exploring Operation: 41*63=2583, Resulting Numbers: [2583]
2583,60 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 60:[92, 12], Operations: ['87-58=29', '41-29=12']
Exploring Operation: 92*12=1104, Resulting Numbers: [1104]
1104,60 unequal: No Solution
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Exploring Operation: 92+12=104, Resulting Numbers: [104]
104,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 60:[92, 70], Operations: ['87-58=29', '41+29=70']
Exploring Operation: 92+70=162, Resulting Numbers: [162]
162,60 unequal: No Solution
Exploring Operation: 92*70=6440, Resulting Numbers: [6440]
6440,60 unequal: No Solution
Exploring Operation: 92-70=22, Resulting Numbers: [22]
22,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 60:[41, 121], Operations: ['87-58=29', '92+29=121']
Exploring Operation: 41*121=4961, Resulting Numbers: [4961]
4961,60 unequal: No Solution
Exploring Operation: 121-41=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Exploring Operation: 41+121=162, Resulting Numbers: [162]
162,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 60:[58, 92, 46], Operations: ['87-41=46']
Exploring Operation: 92/46=2, Resulting Numbers: [58, 2]
Generated Node #0,4,0: 60:[58, 2] Operation: 92/46=2
Exploring Operation: 58+46=104, Resulting Numbers: [92, 104]
Generated Node #0,4,1: 60:[92, 104] Operation: 58+46=104
Exploring Operation: 92-58=34, Resulting Numbers: [46, 34]
Generated Node #0,4,2: 60:[46, 34] Operation: 92-58=34
Exploring Operation: 92-46=46, Resulting Numbers: [58, 46]
Generated Node #0,4,3: 60:[58, 46] Operation: 92-46=46
Exploring Operation: 58-46=12, Resulting Numbers: [92, 12]
Generated Node #0,4,4: 60:[92, 12] Operation: 58-46=12
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 60:[58, 2], Operations: ['87-41=46', '92/46=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,60 unequal: No Solution
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,60 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[41, 58, 92, 87], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [58, 92, 46]
Generated Node #0,4: 60:[58, 92, 46] Operation: 87-41=46
Moving to Node #0,4
Current State: 60:[58, 92, 46], Operations: ['87-41=46']
Exploring Operation: 92/46=2, Resulting Numbers: [58, 2]
Generated Node #0,4,0: 60:[58, 2] Operation: 92/46=2
Moving to Node #0,4,0
Current State: 60:[58, 2], Operations: ['87-41=46', '92/46=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.914931 | hs_5 | sum_heuristic |
[
56,
28,
94,
10
] | 100 | [
"56+28=84",
"94-84=10",
"10*10=100"
] | Current State: 100:[56, 28, 94, 10], Operations: []
Exploring Operation: 56+28=84, Resulting Numbers: [94, 10, 84]
Generated Node #2: [94, 10, 84] from Operation: 56+28=84
Current State: 100:[94, 10, 84], Operations: ['56+28=84']
Exploring Operation: 94-84=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 94-84=10
Current State: 100:[10, 10], Operations: ['56+28=84', '94-84=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[56, 28, 94, 10], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [94, 10, 2]
Generated Node #0,0: 100:[94, 10, 2] Operation: 56/28=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[94, 10, 2], Operations: ['56/28=2']
Exploring Operation: 94/2=47, Resulting Numbers: [10, 47]
Generated Node #0,0,0: 100:[10, 47] Operation: 94/2=47
Moving to Node #0,0,0
Current State: 100:[10, 47], Operations: ['56/28=2', '94/2=47']
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,100 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 |
[
7,
7,
7,
59
] | 57 | [
"7+7=14",
"14/7=2",
"59-2=57"
] | Current State: 57:[7, 7, 7, 59], Operations: []
Exploring Operation: 7+7=14, Resulting Numbers: [59, 14]
Generated Node #2: [59, 14] from Operation: 7+7=14
Current State: 57:[59, 14], Operations: ['7+7=14']
Exploring Operation: 14/7=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 14/7=2
Current State: 57:[59, 2], Operations: ['7+7=14', '14/7=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[7, 7, 7, 59], Operations: []
Exploring Operation: 7/7=1, Resulting Numbers: [7, 59, 1]
Generated Node #0,0: 57:[7, 59, 1] Operation: 7/7=1
Exploring Operation: 7/7=1, Resulting Numbers: [7, 59, 1]
Generated Node #0,1: 57:[7, 59, 1] Operation: 7/7=1
Moving to Node #0,0
Current State: 57:[7, 59, 1], Operations: ['7/7=1']
Exploring Operation: 59-1=58, Resulting Numbers: [7, 58]
Generated Node #0,0,0: 57:[7, 58] Operation: 59-1=58
Exploring Operation: 7-1=6, Resulting Numbers: [59, 6]
Generated Node #0,0,1: 57:[59, 6] Operation: 7-1=6
Moving to Node #0,1
Current State: 57:[7, 59, 1], Operations: ['7/7=1']
Exploring Operation: 59-1=58, Resulting Numbers: [7, 58]
Generated Node #0,1,0: 57:[7, 58] Operation: 59-1=58
Exploring Operation: 7-1=6, Resulting Numbers: [59, 6]
Generated Node #0,1,1: 57:[59, 6] Operation: 7-1=6
Moving to Node #0,0,0
Current State: 57:[7, 58], Operations: ['7/7=1', '59-1=58']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[7, 58], Operations: ['7/7=1', '59-1=58']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[59, 6], Operations: ['7/7=1', '7-1=6']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,57 unequal: No Solution
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[59, 6], Operations: ['7/7=1', '7-1=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,57 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,57 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
18,
40,
27
] | 40 | [
"46-18=28",
"28-27=1",
"40*1=40"
] | Current State: 40:[46, 18, 40, 27], Operations: []
Exploring Operation: 46-18=28, Resulting Numbers: [40, 27, 28]
Generated Node #2: [40, 27, 28] from Operation: 46-18=28
Current State: 40:[40, 27, 28], Operations: ['46-18=28']
Exploring Operation: 28-27=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 28-27=1
Current State: 40:[40, 1], Operations: ['46-18=28', '28-27=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[46, 18, 40, 27], Operations: []
Exploring Operation: 46-27=19, Resulting Numbers: [18, 40, 19]
Generated Node #0,0: 40:[18, 40, 19] Operation: 46-27=19
Exploring Operation: 27-18=9, Resulting Numbers: [46, 40, 9]
Generated Node #0,1: 40:[46, 40, 9] Operation: 27-18=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[18, 40, 19], Operations: ['46-27=19']
Exploring Operation: 19-18=1, Resulting Numbers: [40, 1]
Generated Node #0,0,0: 40:[40, 1] Operation: 19-18=1
Exploring Operation: 40-18=22, Resulting Numbers: [19, 22]
Generated Node #0,0,1: 40:[19, 22] Operation: 40-18=22
Moving to Node #0,0,0
Current State: 40:[40, 1], Operations: ['46-27=19', '19-18=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[46, 18, 40, 27], Operations: []
Exploring Operation: 46-27=19, Resulting Numbers: [18, 40, 19]
Generated Node #0,0: 40:[18, 40, 19] Operation: 46-27=19
Moving to Node #0,0
Current State: 40:[18, 40, 19], Operations: ['46-27=19']
Exploring Operation: 19-18=1, Resulting Numbers: [40, 1]
Generated Node #0,0,0: 40:[40, 1] Operation: 19-18=1
Moving to Node #0,0,0
Current State: 40:[40, 1], Operations: ['46-27=19', '19-18=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
10,
19,
15,
17
] | 95 | [
"10*19=190",
"17-15=2",
"190/2=95"
] | Current State: 95:[10, 19, 15, 17], Operations: []
Exploring Operation: 10*19=190, Resulting Numbers: [15, 17, 190]
Generated Node #2: [15, 17, 190] from Operation: 10*19=190
Current State: 95:[15, 17, 190], Operations: ['10*19=190']
Exploring Operation: 17-15=2, Resulting Numbers: [190, 2]
Generated Node #3: [190, 2] from Operation: 17-15=2
Current State: 95:[190, 2], Operations: ['10*19=190', '17-15=2']
Exploring Operation: 190/2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[10, 19, 15, 17], Operations: []
Exploring Operation: 19-15=4, Resulting Numbers: [10, 17, 4]
Generated Node #0,0: 95:[10, 17, 4] Operation: 19-15=4
Exploring Operation: 10+15=25, Resulting Numbers: [19, 17, 25]
Generated Node #0,1: 95:[19, 17, 25] Operation: 10+15=25
Exploring Operation: 17-10=7, Resulting Numbers: [19, 15, 7]
Generated Node #0,2: 95:[19, 15, 7] Operation: 17-10=7
Exploring Operation: 15-10=5, Resulting Numbers: [19, 17, 5]
Generated Node #0,3: 95:[19, 17, 5] Operation: 15-10=5
Moving to Node #0,3
Current State: 95:[19, 17, 5], Operations: ['15-10=5']
Exploring Operation: 19*5=95, Resulting Numbers: [17, 95]
Generated Node #0,3,0: 95:[17, 95] Operation: 19*5=95
Exploring Operation: 19-17=2, Resulting Numbers: [5, 2]
Generated Node #0,3,1: 95:[5, 2] Operation: 19-17=2
Exploring Operation: 19+5=24, Resulting Numbers: [17, 24]
Generated Node #0,3,2: 95:[17, 24] Operation: 19+5=24
Exploring Operation: 17+5=22, Resulting Numbers: [19, 22]
Generated Node #0,3,3: 95:[19, 22] Operation: 17+5=22
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[17, 95], Operations: ['15-10=5', '19*5=95']
Exploring Operation: 17*95=1615, Resulting Numbers: [1615]
1615,95 unequal: No Solution
Exploring Operation: 95-17=78, Resulting Numbers: [78]
78,95 unequal: No Solution
Exploring Operation: 17+95=112, Resulting Numbers: [112]
112,95 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 #0,3,1
Current State: 95:[5, 2], Operations: ['15-10=5', '19-17=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,95 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 #0,3,3
Current State: 95:[19, 22], Operations: ['15-10=5', '17+5=22']
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,95 unequal: No Solution
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,95 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 #0,3,2
Current State: 95:[17, 24], Operations: ['15-10=5', '19+5=24']
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,95 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,95 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: 95:[19, 15, 7], Operations: ['17-10=7']
Exploring Operation: 15*7=105, Resulting Numbers: [19, 105]
Generated Node #0,2,0: 95:[19, 105] Operation: 15*7=105
Exploring Operation: 15+7=22, Resulting Numbers: [19, 22]
Generated Node #0,2,1: 95:[19, 22] Operation: 15+7=22
Exploring Operation: 19-15=4, Resulting Numbers: [7, 4]
Generated Node #0,2,2: 95:[7, 4] Operation: 19-15=4
Exploring Operation: 15-7=8, Resulting Numbers: [19, 8]
Generated Node #0,2,3: 95:[19, 8] Operation: 15-7=8
Moving to Node #0,1
Current State: 95:[19, 17, 25], Operations: ['10+15=25']
Exploring Operation: 25-17=8, Resulting Numbers: [19, 8]
Generated Node #0,1,0: 95:[19, 8] Operation: 25-17=8
Exploring Operation: 25-19=6, Resulting Numbers: [17, 6]
Generated Node #0,1,1: 95:[17, 6] Operation: 25-19=6
Exploring Operation: 19-17=2, Resulting Numbers: [25, 2]
Generated Node #0,1,2: 95:[25, 2] Operation: 19-17=2
Exploring Operation: 19+17=36, Resulting Numbers: [25, 36]
Generated Node #0,1,3: 95:[25, 36] Operation: 19+17=36
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[19, 8], Operations: ['10+15=25', '25-17=8']
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,95 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,95 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 #0,1,1
Current State: 95:[17, 6], Operations: ['10+15=25', '25-19=6']
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,95 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,95 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 #0,1,2
Current State: 95:[25, 2], Operations: ['10+15=25', '19-17=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,95 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,95 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 #0,1,3
Current State: 95:[25, 36], Operations: ['10+15=25', '19+17=36']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 25*36=900, Resulting Numbers: [900]
900,95 unequal: No Solution
Exploring Operation: 25+36=61, Resulting Numbers: [61]
61,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 95:[10, 17, 4], Operations: ['19-15=4']
Exploring Operation: 17+4=21, Resulting Numbers: [10, 21]
Generated Node #0,0,0: 95:[10, 21] Operation: 17+4=21
Exploring Operation: 10+4=14, Resulting Numbers: [17, 14]
Generated Node #0,0,1: 95:[17, 14] Operation: 10+4=14
Exploring Operation: 10-4=6, Resulting Numbers: [17, 6]
Generated Node #0,0,2: 95:[17, 6] Operation: 10-4=6
Exploring Operation: 17-10=7, Resulting Numbers: [4, 7]
Generated Node #0,0,3: 95:[4, 7] Operation: 17-10=7
Moving to Node #0,2,1
Current State: 95:[19, 22], Operations: ['17-10=7', '15+7=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,95 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[19, 8], Operations: ['17-10=7', '15-7=8']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,95 unequal: No Solution
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[4, 7], Operations: ['19-15=4', '17-10=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[7, 4], Operations: ['17-10=7', '19-15=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[17, 6], Operations: ['19-15=4', '10-4=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,95 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[10, 21], Operations: ['19-15=4', '17+4=21']
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,95 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[17, 14], Operations: ['19-15=4', '10+4=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,95 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[19, 105], Operations: ['17-10=7', '15*7=105']
Exploring Operation: 19+105=124, Resulting Numbers: [124]
124,95 unequal: No Solution
Exploring Operation: 105-19=86, Resulting Numbers: [86]
86,95 unequal: No Solution
Exploring Operation: 19*105=1995, Resulting Numbers: [1995]
1995,95 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
33,
30,
2,
73
] | 46 | [
"33+73=106",
"30*2=60",
"106-60=46"
] | Current State: 46:[33, 30, 2, 73], Operations: []
Exploring Operation: 33+73=106, Resulting Numbers: [30, 2, 106]
Generated Node #2: [30, 2, 106] from Operation: 33+73=106
Current State: 46:[30, 2, 106], Operations: ['33+73=106']
Exploring Operation: 30*2=60, Resulting Numbers: [106, 60]
Generated Node #3: [106, 60] from Operation: 30*2=60
Current State: 46:[106, 60], Operations: ['33+73=106', '30*2=60']
Exploring Operation: 106-60=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[33, 30, 2, 73], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [30, 2, 40]
Generated Node #0,0: 46:[30, 2, 40] Operation: 73-33=40
Exploring Operation: 73-30=43, Resulting Numbers: [33, 2, 43]
Generated Node #0,1: 46:[33, 2, 43] Operation: 73-30=43
Exploring Operation: 33-30=3, Resulting Numbers: [2, 73, 3]
Generated Node #0,2: 46:[2, 73, 3] Operation: 33-30=3
Moving to Node #0,0
Current State: 46:[30, 2, 40], Operations: ['73-33=40']
Exploring Operation: 40/2=20, Resulting Numbers: [30, 20]
Generated Node #0,0,0: 46:[30, 20] Operation: 40/2=20
Exploring Operation: 40-30=10, Resulting Numbers: [2, 10]
Generated Node #0,0,1: 46:[2, 10] Operation: 40-30=10
Exploring Operation: 30-2=28, Resulting Numbers: [40, 28]
Generated Node #0,0,2: 46:[40, 28] Operation: 30-2=28
Moving to Node #0,1
Current State: 46:[33, 2, 43], Operations: ['73-30=43']
Exploring Operation: 33-2=31, Resulting Numbers: [43, 31]
Generated Node #0,1,0: 46:[43, 31] Operation: 33-2=31
Exploring Operation: 43-33=10, Resulting Numbers: [2, 10]
Generated Node #0,1,1: 46:[2, 10] Operation: 43-33=10
Exploring Operation: 2+43=45, Resulting Numbers: [33, 45]
Generated Node #0,1,2: 46:[33, 45] Operation: 2+43=45
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[2, 10], Operations: ['73-30=43', '43-33=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,46 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[43, 31], Operations: ['73-30=43', '33-2=31']
Exploring Operation: 43+31=74, Resulting Numbers: [74]
74,46 unequal: No Solution
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 43*31=1333, Resulting Numbers: [1333]
1333,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[33, 45], Operations: ['73-30=43', '2+43=45']
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 33*45=1485, Resulting Numbers: [1485]
1485,46 unequal: No Solution
Exploring Operation: 33+45=78, Resulting Numbers: [78]
78,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 46:[2, 73, 3], Operations: ['33-30=3']
Exploring Operation: 73-2=71, Resulting Numbers: [3, 71]
Generated Node #0,2,0: 46:[3, 71] Operation: 73-2=71
Exploring Operation: 3-2=1, Resulting Numbers: [73, 1]
Generated Node #0,2,1: 46:[73, 1] Operation: 3-2=1
Exploring Operation: 73-3=70, Resulting Numbers: [2, 70]
Generated Node #0,2,2: 46:[2, 70] Operation: 73-3=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 46:[2, 70], Operations: ['33-30=3', '73-3=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,46 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,46 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[3, 71], Operations: ['33-30=3', '73-2=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,46 unequal: No Solution
Exploring Operation: 3*71=213, Resulting Numbers: [213]
213,46 unequal: No Solution
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[73, 1], Operations: ['33-30=3', '3-2=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,46 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: 46:[2, 10], Operations: ['73-33=40', '40-30=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,46 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[30, 20], Operations: ['73-33=40', '40/2=20']
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 30*20=600, Resulting Numbers: [600]
600,46 unequal: No Solution
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[40, 28], Operations: ['73-33=40', '30-2=28']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,46 unequal: No Solution
Exploring Operation: 40*28=1120, Resulting Numbers: [1120]
1120,46 unequal: No Solution
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,46 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
15,
67,
60,
27
] | 85 | [
"67-15=52",
"60-27=33",
"52+33=85"
] | Current State: 85:[15, 67, 60, 27], Operations: []
Exploring Operation: 67-15=52, Resulting Numbers: [60, 27, 52]
Generated Node #2: [60, 27, 52] from Operation: 67-15=52
Current State: 85:[60, 27, 52], Operations: ['67-15=52']
Exploring Operation: 60-27=33, Resulting Numbers: [52, 33]
Generated Node #3: [52, 33] from Operation: 60-27=33
Current State: 85:[52, 33], Operations: ['67-15=52', '60-27=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[15, 67, 60, 27], Operations: []
Exploring Operation: 67-60=7, Resulting Numbers: [15, 27, 7]
Generated Node #0,0: 85:[15, 27, 7] Operation: 67-60=7
Exploring Operation: 60+27=87, Resulting Numbers: [15, 67, 87]
Generated Node #0,1: 85:[15, 67, 87] Operation: 60+27=87
Exploring Operation: 60/15=4, Resulting Numbers: [67, 27, 4]
Generated Node #0,2: 85:[67, 27, 4] Operation: 60/15=4
Exploring Operation: 60-27=33, Resulting Numbers: [15, 67, 33]
Generated Node #0,3: 85:[15, 67, 33] Operation: 60-27=33
Exploring Operation: 67+27=94, Resulting Numbers: [15, 60, 94]
Generated Node #0,4: 85:[15, 60, 94] Operation: 67+27=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[15, 27, 7], Operations: ['67-60=7']
Exploring Operation: 27+7=34, Resulting Numbers: [15, 34]
Generated Node #0,0,0: 85:[15, 34] Operation: 27+7=34
Exploring Operation: 15-7=8, Resulting Numbers: [27, 8]
Generated Node #0,0,1: 85:[27, 8] Operation: 15-7=8
Exploring Operation: 15+7=22, Resulting Numbers: [27, 22]
Generated Node #0,0,2: 85:[27, 22] Operation: 15+7=22
Exploring Operation: 27-7=20, Resulting Numbers: [15, 20]
Generated Node #0,0,3: 85:[15, 20] Operation: 27-7=20
Exploring Operation: 27-15=12, Resulting Numbers: [7, 12]
Generated Node #0,0,4: 85:[7, 12] Operation: 27-15=12
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 85:[15, 20], Operations: ['67-60=7', '27-7=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,85 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 85:[7, 12], Operations: ['67-60=7', '27-15=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[27, 8], Operations: ['67-60=7', '15-7=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,85 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 85:[27, 22], Operations: ['67-60=7', '15+7=22']
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,85 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[15, 34], Operations: ['67-60=7', '27+7=34']
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,85 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,85 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[15, 67, 87], Operations: ['60+27=87']
Exploring Operation: 87-15=72, Resulting Numbers: [67, 72]
Generated Node #0,1,0: 85:[67, 72] Operation: 87-15=72
Exploring Operation: 87-67=20, Resulting Numbers: [15, 20]
Generated Node #0,1,1: 85:[15, 20] Operation: 87-67=20
Exploring Operation: 15+67=82, Resulting Numbers: [87, 82]
Generated Node #0,1,2: 85:[87, 82] Operation: 15+67=82
Exploring Operation: 67-15=52, Resulting Numbers: [87, 52]
Generated Node #0,1,3: 85:[87, 52] Operation: 67-15=52
Exploring Operation: 15+87=102, Resulting Numbers: [67, 102]
Generated Node #0,1,4: 85:[67, 102] Operation: 15+87=102
Moving to Node #0,1,1
Current State: 85:[15, 20], Operations: ['60+27=87', '87-67=20']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,85 unequal: No Solution
Moving to Node #0,1,2
Current State: 85:[87, 82], Operations: ['60+27=87', '15+67=82']
Exploring Operation: 87-82=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 87*82=7134, Resulting Numbers: [7134]
7134,85 unequal: No Solution
Exploring Operation: 87+82=169, Resulting Numbers: [169]
169,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[67, 72], Operations: ['60+27=87', '87-15=72']
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 67+72=139, Resulting Numbers: [139]
139,85 unequal: No Solution
Exploring Operation: 67*72=4824, Resulting Numbers: [4824]
4824,85 unequal: No Solution
Moving to Node #0,1,3
Current State: 85:[87, 52], Operations: ['60+27=87', '67-15=52']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 87*52=4524, Resulting Numbers: [4524]
4524,85 unequal: No Solution
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,85 unequal: No Solution
Moving to Node #0,1,4
Current State: 85:[67, 102], Operations: ['60+27=87', '15+87=102']
Exploring Operation: 102-67=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 67*102=6834, Resulting Numbers: [6834]
6834,85 unequal: No Solution
Exploring Operation: 67+102=169, Resulting Numbers: [169]
169,85 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 #0,2
Current State: 85:[67, 27, 4], Operations: ['60/15=4']
Exploring Operation: 67+4=71, Resulting Numbers: [27, 71]
Generated Node #0,2,0: 85:[27, 71] Operation: 67+4=71
Exploring Operation: 67+27=94, Resulting Numbers: [4, 94]
Generated Node #0,2,1: 85:[4, 94] Operation: 67+27=94
Exploring Operation: 67-27=40, Resulting Numbers: [4, 40]
Generated Node #0,2,2: 85:[4, 40] Operation: 67-27=40
Exploring Operation: 67-4=63, Resulting Numbers: [27, 63]
Generated Node #0,2,3: 85:[27, 63] Operation: 67-4=63
Exploring Operation: 27-4=23, Resulting Numbers: [67, 23]
Generated Node #0,2,4: 85:[67, 23] Operation: 27-4=23
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 85:[4, 94], Operations: ['60/15=4', '67+27=94']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 4*94=376, Resulting Numbers: [376]
376,85 unequal: No Solution
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 85:[27, 71], Operations: ['60/15=4', '67+4=71']
Exploring Operation: 27*71=1917, Resulting Numbers: [1917]
1917,85 unequal: No Solution
Exploring Operation: 27+71=98, Resulting Numbers: [98]
98,85 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[4, 40], Operations: ['60/15=4', '67-27=40']
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,85 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,85 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 85:[67, 23], Operations: ['60/15=4', '27-4=23']
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,85 unequal: No Solution
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 85:[27, 63], Operations: ['60/15=4', '67-4=63']
Exploring Operation: 27+63=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,85 unequal: No Solution
Exploring Operation: 27*63=1701, Resulting Numbers: [1701]
1701,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[15, 67, 33], Operations: ['60-27=33']
Exploring Operation: 67-15=52, Resulting Numbers: [33, 52]
Generated Node #0,3,0: 85:[33, 52] Operation: 67-15=52
Exploring Operation: 15+67=82, Resulting Numbers: [33, 82]
Generated Node #0,3,1: 85:[33, 82] Operation: 15+67=82
Exploring Operation: 67+33=100, Resulting Numbers: [15, 100]
Generated Node #0,3,2: 85:[15, 100] Operation: 67+33=100
Exploring Operation: 67-33=34, Resulting Numbers: [15, 34]
Generated Node #0,3,3: 85:[15, 34] Operation: 67-33=34
Exploring Operation: 33-15=18, Resulting Numbers: [67, 18]
Generated Node #0,3,4: 85:[67, 18] Operation: 33-15=18
Moving to Node #0,3,2
Current State: 85:[15, 100], Operations: ['60-27=33', '67+33=100']
Exploring Operation: 15*100=1500, Resulting Numbers: [1500]
1500,85 unequal: No Solution
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[15, 67, 60, 27], Operations: []
Exploring Operation: 60-27=33, Resulting Numbers: [15, 67, 33]
Generated Node #0,3: 85:[15, 67, 33] Operation: 60-27=33
Moving to Node #0,3
Current State: 85:[15, 67, 33], Operations: ['60-27=33']
Exploring Operation: 67+33=100, Resulting Numbers: [15, 100]
Generated Node #0,3,2: 85:[15, 100] Operation: 67+33=100
Moving to Node #0,3,2
Current State: 85:[15, 100], Operations: ['60-27=33', '67+33=100']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.93316 | hs_5 | mult_heuristic |
[
72,
75,
75,
20
] | 52 | [
"72+75=147",
"75+20=95",
"147-95=52"
] | Current State: 52:[72, 75, 75, 20], Operations: []
Exploring Operation: 72+75=147, Resulting Numbers: [20, 147]
Generated Node #2: [20, 147] from Operation: 72+75=147
Current State: 52:[20, 147], Operations: ['72+75=147']
Exploring Operation: 75+20=95, Resulting Numbers: [147, 95]
Generated Node #3: [147, 95] from Operation: 75+20=95
Current State: 52:[147, 95], Operations: ['72+75=147', '75+20=95']
Exploring Operation: 147-95=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[72, 75, 75, 20], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [75, 20, 3]
Generated Node #0,0: 52:[75, 20, 3] Operation: 75-72=3
Exploring Operation: 75-75=0, Resulting Numbers: [72, 20, 0]
Generated Node #0,1: 52:[72, 20, 0] Operation: 75-75=0
Exploring Operation: 75/75=1, Resulting Numbers: [72, 20, 1]
Generated Node #0,2: 52:[72, 20, 1] Operation: 75/75=1
Exploring Operation: 75-72=3, Resulting Numbers: [75, 20, 3]
Generated Node #0,3: 52:[75, 20, 3] Operation: 75-72=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[72, 20, 1], Operations: ['75/75=1']
Exploring Operation: 72*1=72, Resulting Numbers: [20, 72]
Generated Node #0,2,0: 52:[20, 72] Operation: 72*1=72
Exploring Operation: 20+1=21, Resulting Numbers: [72, 21]
Generated Node #0,2,1: 52:[72, 21] Operation: 20+1=21
Exploring Operation: 72-1=71, Resulting Numbers: [20, 71]
Generated Node #0,2,2: 52:[20, 71] Operation: 72-1=71
Exploring Operation: 72-20=52, Resulting Numbers: [1, 52]
Generated Node #0,2,3: 52:[1, 52] Operation: 72-20=52
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 52:[1, 52], Operations: ['75/75=1', '72-20=52']
Exploring Operation: 1+52=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[72, 75, 75, 20], Operations: []
Exploring Operation: 75/75=1, Resulting Numbers: [72, 20, 1]
Generated Node #0,2: 52:[72, 20, 1] Operation: 75/75=1
Moving to Node #0,2
Current State: 52:[72, 20, 1], Operations: ['75/75=1']
Exploring Operation: 72-20=52, Resulting Numbers: [1, 52]
Generated Node #0,2,3: 52:[1, 52] Operation: 72-20=52
Moving to Node #0,2,3
Current State: 52:[1, 52], Operations: ['75/75=1', '72-20=52']
Exploring Operation: 1*52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
20,
5,
16,
23
] | 43 | [
"20/5=4",
"16+23=39",
"4+39=43"
] | Current State: 43:[20, 5, 16, 23], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [16, 23, 4]
Generated Node #2: [16, 23, 4] from Operation: 20/5=4
Current State: 43:[16, 23, 4], Operations: ['20/5=4']
Exploring Operation: 16+23=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 16+23=39
Current State: 43:[4, 39], Operations: ['20/5=4', '16+23=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[20, 5, 16, 23], Operations: []
Exploring Operation: 20+5=25, Resulting Numbers: [16, 23, 25]
Generated Node #0,0: 43:[16, 23, 25] Operation: 20+5=25
Exploring Operation: 5+16=21, Resulting Numbers: [20, 23, 21]
Generated Node #0,1: 43:[20, 23, 21] Operation: 5+16=21
Exploring Operation: 20+16=36, Resulting Numbers: [5, 23, 36]
Generated Node #0,2: 43:[5, 23, 36] Operation: 20+16=36
Exploring Operation: 20+23=43, Resulting Numbers: [5, 16, 43]
Generated Node #0,3: 43:[5, 16, 43] Operation: 20+23=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[16, 23, 25], Operations: ['20+5=25']
Exploring Operation: 16+23=39, Resulting Numbers: [25, 39]
Generated Node #0,0,0: 43:[25, 39] Operation: 16+23=39
Exploring Operation: 16+25=41, Resulting Numbers: [23, 41]
Generated Node #0,0,1: 43:[23, 41] Operation: 16+25=41
Exploring Operation: 23-16=7, Resulting Numbers: [25, 7]
Generated Node #0,0,2: 43:[25, 7] Operation: 23-16=7
Exploring Operation: 23+25=48, Resulting Numbers: [16, 48]
Generated Node #0,0,3: 43:[16, 48] Operation: 23+25=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[25, 39], Operations: ['20+5=25', '16+23=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,43 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,43 unequal: No Solution
No 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: 43:[23, 41], Operations: ['20+5=25', '16+25=41']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,43 unequal: No Solution
No 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: 43:[16, 48], Operations: ['20+5=25', '23+25=48']
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 16*48=768, Resulting Numbers: [768]
768,43 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,43 unequal: No Solution
No 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: 43:[25, 7], Operations: ['20+5=25', '23-16=7']
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,43 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,43 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[20, 23, 21], Operations: ['5+16=21']
Exploring Operation: 23-20=3, Resulting Numbers: [21, 3]
Generated Node #0,1,0: 43:[21, 3] Operation: 23-20=3
Exploring Operation: 20+23=43, Resulting Numbers: [21, 43]
Generated Node #0,1,1: 43:[21, 43] Operation: 20+23=43
Exploring Operation: 20+21=41, Resulting Numbers: [23, 41]
Generated Node #0,1,2: 43:[23, 41] Operation: 20+21=41
Exploring Operation: 23+21=44, Resulting Numbers: [20, 44]
Generated Node #0,1,3: 43:[20, 44] Operation: 23+21=44
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[21, 43], Operations: ['5+16=21', '20+23=43']
Exploring Operation: 21+43=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 21*43=903, Resulting Numbers: [903]
903,43 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,43 unequal: No Solution
No 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: 43:[23, 41], Operations: ['5+16=21', '20+21=41']
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,43 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,43 unequal: No Solution
No 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: 43:[20, 44], Operations: ['5+16=21', '23+21=44']
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,43 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,43 unequal: No Solution
No 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: 43:[21, 3], Operations: ['5+16=21', '23-20=3']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,43 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,43 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,43 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[5, 23, 36], Operations: ['20+16=36']
Exploring Operation: 36-5=31, Resulting Numbers: [23, 31]
Generated Node #0,2,0: 43:[23, 31] Operation: 36-5=31
Exploring Operation: 5+23=28, Resulting Numbers: [36, 28]
Generated Node #0,2,1: 43:[36, 28] Operation: 5+23=28
Exploring Operation: 5+36=41, Resulting Numbers: [23, 41]
Generated Node #0,2,2: 43:[23, 41] Operation: 5+36=41
Exploring Operation: 23-5=18, Resulting Numbers: [36, 18]
Generated Node #0,2,3: 43:[36, 18] Operation: 23-5=18
Moving to Node #0,2,1
Current State: 43:[36, 28], Operations: ['20+16=36', '5+23=28']
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 36*28=1008, Resulting Numbers: [1008]
1008,43 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[23, 41], Operations: ['20+16=36', '5+36=41']
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[36, 18], Operations: ['20+16=36', '23-5=18']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Exploring Operation: 36*18=648, Resulting Numbers: [648]
648,43 unequal: No Solution
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,43 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[23, 31], Operations: ['20+16=36', '36-5=31']
Exploring Operation: 23*31=713, Resulting Numbers: [713]
713,43 unequal: No Solution
Exploring Operation: 23+31=54, Resulting Numbers: [54]
54,43 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[5, 16, 43], Operations: ['20+23=43']
Exploring Operation: 5+16=21, Resulting Numbers: [43, 21]
Generated Node #0,3,0: 43:[43, 21] Operation: 5+16=21
Exploring Operation: 5+43=48, Resulting Numbers: [16, 48]
Generated Node #0,3,1: 43:[16, 48] Operation: 5+43=48
Exploring Operation: 16-5=11, Resulting Numbers: [43, 11]
Generated Node #0,3,2: 43:[43, 11] Operation: 16-5=11
Exploring Operation: 43-5=38, Resulting Numbers: [16, 38]
Generated Node #0,3,3: 43:[16, 38] Operation: 43-5=38
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 43:[43, 21], Operations: ['20+23=43', '5+16=21']
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,43 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,43 unequal: No Solution
No 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: 43:[16, 48], Operations: ['20+23=43', '5+43=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 16*48=768, Resulting Numbers: [768]
768,43 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,43 unequal: No Solution
No 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: 43:[43, 11], Operations: ['20+23=43', '16-5=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,43 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,43 unequal: No Solution
No 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: 43:[16, 38], Operations: ['20+23=43', '43-5=38']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,43 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,43 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_4 | sum_heuristic |
[
9,
7,
16,
69
] | 69 | [
"9+7=16",
"16+69=85",
"85-16=69"
] | Current State: 69:[9, 7, 16, 69], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [16, 69, 16]
Generated Node #2: [16, 69, 16] from Operation: 9+7=16
Current State: 69:[16, 69, 16], Operations: ['9+7=16']
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,69 equal: Goal Reached
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[9, 7, 16, 69], Operations: []
Exploring Operation: 7+16=23, Resulting Numbers: [9, 69, 23]
Generated Node #0,0: 69:[9, 69, 23] Operation: 7+16=23
Exploring Operation: 9-7=2, Resulting Numbers: [16, 69, 2]
Generated Node #0,1: 69:[16, 69, 2] Operation: 9-7=2
Exploring Operation: 9+16=25, Resulting Numbers: [7, 69, 25]
Generated Node #0,2: 69:[7, 69, 25] Operation: 9+16=25
Exploring Operation: 16-9=7, Resulting Numbers: [7, 69, 7]
Generated Node #0,3: 69:[7, 69, 7] Operation: 16-9=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[9, 69, 23], Operations: ['7+16=23']
Exploring Operation: 9+69=78, Resulting Numbers: [23, 78]
Generated Node #0,0,0: 69:[23, 78] Operation: 9+69=78
Exploring Operation: 9+23=32, Resulting Numbers: [69, 32]
Generated Node #0,0,1: 69:[69, 32] Operation: 9+23=32
Exploring Operation: 69-9=60, Resulting Numbers: [23, 60]
Generated Node #0,0,2: 69:[23, 60] Operation: 69-9=60
Exploring Operation: 69/23=3, Resulting Numbers: [9, 3]
Generated Node #0,0,3: 69:[9, 3] Operation: 69/23=3
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 69:[9, 3], Operations: ['7+16=23', '69/23=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,69 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 69:[23, 78], Operations: ['7+16=23', '9+69=78']
Exploring Operation: 23*78=1794, Resulting Numbers: [1794]
1794,69 unequal: No Solution
Exploring Operation: 23+78=101, Resulting Numbers: [101]
101,69 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 69:[69, 32], Operations: ['7+16=23', '9+23=32']
Exploring Operation: 69*32=2208, Resulting Numbers: [2208]
2208,69 unequal: No Solution
Exploring Operation: 69+32=101, Resulting Numbers: [101]
101,69 unequal: No Solution
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[23, 60], Operations: ['7+16=23', '69-9=60']
Exploring Operation: 23*60=1380, Resulting Numbers: [1380]
1380,69 unequal: No Solution
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,69 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:[7, 69, 25], Operations: ['9+16=25']
Exploring Operation: 69-7=62, Resulting Numbers: [25, 62]
Generated Node #0,2,0: 69:[25, 62] Operation: 69-7=62
Exploring Operation: 7+69=76, Resulting Numbers: [25, 76]
Generated Node #0,2,1: 69:[25, 76] Operation: 7+69=76
Exploring Operation: 7+25=32, Resulting Numbers: [69, 32]
Generated Node #0,2,2: 69:[69, 32] Operation: 7+25=32
Exploring Operation: 25-7=18, Resulting Numbers: [69, 18]
Generated Node #0,2,3: 69:[69, 18] Operation: 25-7=18
Moving to Node #0,2,3
Current State: 69:[69, 18], Operations: ['9+16=25', '25-7=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,69 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[25, 76], Operations: ['9+16=25', '7+69=76']
Exploring Operation: 25+76=101, Resulting Numbers: [101]
101,69 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 25*76=1900, Resulting Numbers: [1900]
1900,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[25, 62], Operations: ['9+16=25', '69-7=62']
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,69 unequal: No Solution
Exploring Operation: 25*62=1550, Resulting Numbers: [1550]
1550,69 unequal: No Solution
Exploring Operation: 25+62=87, Resulting Numbers: [87]
87,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[69, 32], Operations: ['9+16=25', '7+25=32']
Exploring Operation: 69+32=101, Resulting Numbers: [101]
101,69 unequal: No Solution
Exploring Operation: 69*32=2208, Resulting Numbers: [2208]
2208,69 unequal: No Solution
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[16, 69, 2], Operations: ['9-7=2']
Exploring Operation: 16/2=8, Resulting Numbers: [69, 8]
Generated Node #0,1,0: 69:[69, 8] Operation: 16/2=8
Exploring Operation: 16*2=32, Resulting Numbers: [69, 32]
Generated Node #0,1,1: 69:[69, 32] Operation: 16*2=32
Exploring Operation: 16+2=18, Resulting Numbers: [69, 18]
Generated Node #0,1,2: 69:[69, 18] Operation: 16+2=18
Exploring Operation: 16-2=14, Resulting Numbers: [69, 14]
Generated Node #0,1,3: 69:[69, 14] Operation: 16-2=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[69, 8], Operations: ['9-7=2', '16/2=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,69 unequal: No Solution
Exploring Operation: 69*8=552, Resulting Numbers: [552]
552,69 unequal: No Solution
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,69 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:[69, 18], Operations: ['9-7=2', '16+2=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,69 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 69:[69, 32], Operations: ['9-7=2', '16*2=32']
Exploring Operation: 69*32=2208, Resulting Numbers: [2208]
2208,69 unequal: No Solution
Exploring Operation: 69+32=101, Resulting Numbers: [101]
101,69 unequal: No Solution
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,69 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:[69, 14], Operations: ['9-7=2', '16-2=14']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,69 unequal: No Solution
Exploring Operation: 69+14=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Exploring Operation: 69*14=966, Resulting Numbers: [966]
966,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[7, 69, 7], Operations: ['16-9=7']
Exploring Operation: 7+7=14, Resulting Numbers: [69, 14]
Generated Node #0,3,0: 69:[69, 14] Operation: 7+7=14
Exploring Operation: 7-7=0, Resulting Numbers: [69, 0]
Generated Node #0,3,1: 69:[69, 0] Operation: 7-7=0
Exploring Operation: 7/7=1, Resulting Numbers: [69, 1]
Generated Node #0,3,2: 69:[69, 1] Operation: 7/7=1
Exploring Operation: 7+69=76, Resulting Numbers: [7, 76]
Generated Node #0,3,3: 69:[7, 76] Operation: 7+69=76
Moving to Node #0,3,2
Current State: 69:[69, 1], Operations: ['16-9=7', '7/7=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[9, 7, 16, 69], Operations: []
Exploring Operation: 16-9=7, Resulting Numbers: [7, 69, 7]
Generated Node #0,3: 69:[7, 69, 7] Operation: 16-9=7
Moving to Node #0,3
Current State: 69:[7, 69, 7], Operations: ['16-9=7']
Exploring Operation: 7/7=1, Resulting Numbers: [69, 1]
Generated Node #0,3,2: 69:[69, 1] Operation: 7/7=1
Moving to Node #0,3,2
Current State: 69:[69, 1], Operations: ['16-9=7', '7/7=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_4 | mult_heuristic |
[
44,
9,
79,
40
] | 77 | [
"79-9=70",
"44*70=3080",
"3080/40=77"
] | Current State: 77:[44, 9, 79, 40], Operations: []
Exploring Operation: 79-9=70, Resulting Numbers: [44, 40, 70]
Generated Node #2: [44, 40, 70] from Operation: 79-9=70
Current State: 77:[44, 40, 70], Operations: ['79-9=70']
Exploring Operation: 44*70=3080, Resulting Numbers: [40, 3080]
Generated Node #3: [40, 3080] from Operation: 44*70=3080
Current State: 77:[40, 3080], Operations: ['79-9=70', '44*70=3080']
Exploring Operation: 3080/40=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[44, 9, 79, 40], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [9, 79, 4]
Generated Node #0,0: 77:[9, 79, 4] Operation: 44-40=4
Exploring Operation: 44+40=84, Resulting Numbers: [9, 79, 84]
Generated Node #0,1: 77:[9, 79, 84] Operation: 44+40=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[9, 79, 4], Operations: ['44-40=4']
Exploring Operation: 9-4=5, Resulting Numbers: [79, 5]
Generated Node #0,0,0: 77:[79, 5] Operation: 9-4=5
Exploring Operation: 9+4=13, Resulting Numbers: [79, 13]
Generated Node #0,0,1: 77:[79, 13] Operation: 9+4=13
Moving to Node #0,0,0
Current State: 77:[79, 5], Operations: ['44-40=4', '9-4=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[79, 13], Operations: ['44-40=4', '9+4=13']
Exploring Operation: 79+13=92, Resulting Numbers: [92]
92,77 unequal: No Solution
Exploring Operation: 79-13=66, Resulting Numbers: [66]
66,77 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
Current State: 77:[9, 79, 84], Operations: ['44+40=84']
Exploring Operation: 84-9=75, Resulting Numbers: [79, 75]
Generated Node #0,1,0: 77:[79, 75] Operation: 84-9=75
Exploring Operation: 84-79=5, Resulting Numbers: [9, 5]
Generated Node #0,1,1: 77:[9, 5] Operation: 84-79=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[79, 75], Operations: ['44+40=84', '84-9=75']
Exploring Operation: 79+75=154, Resulting Numbers: [154]
154,77 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[9, 5], Operations: ['44+40=84', '84-79=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
31,
39,
79,
8
] | 78 | [
"39-31=8",
"8/8=1",
"79-1=78"
] | Current State: 78:[31, 39, 79, 8], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [79, 8, 8]
Generated Node #2: [79, 8, 8] from Operation: 39-31=8
Current State: 78:[79, 8, 8], Operations: ['39-31=8']
Exploring Operation: 8/8=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 8/8=1
Current State: 78:[79, 1], Operations: ['39-31=8', '8/8=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[31, 39, 79, 8], Operations: []
Exploring Operation: 31+8=39, Resulting Numbers: [39, 79, 39]
Generated Node #0,0: 78:[39, 79, 39] Operation: 31+8=39
Exploring Operation: 31-8=23, Resulting Numbers: [39, 79, 23]
Generated Node #0,1: 78:[39, 79, 23] Operation: 31-8=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[39, 79, 39], Operations: ['31+8=39']
Exploring Operation: 79-39=40, Resulting Numbers: [39, 40]
Generated Node #0,0,0: 78:[39, 40] Operation: 79-39=40
Exploring Operation: 39+39=78, Resulting Numbers: [79, 78]
Generated Node #0,0,1: 78:[79, 78] Operation: 39+39=78
Moving to Node #0,0,0
Current State: 78:[39, 40], Operations: ['31+8=39', '79-39=40']
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,78 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[79, 78], Operations: ['31+8=39', '39+39=78']
Exploring Operation: 79+78=157, Resulting Numbers: [157]
157,78 unequal: No Solution
Exploring Operation: 79-78=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[39, 79, 23], Operations: ['31-8=23']
Exploring Operation: 39-23=16, Resulting Numbers: [79, 16]
Generated Node #0,1,0: 78:[79, 16] Operation: 39-23=16
Exploring Operation: 79-39=40, Resulting Numbers: [23, 40]
Generated Node #0,1,1: 78:[23, 40] Operation: 79-39=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[79, 16], Operations: ['31-8=23', '39-23=16']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,78 unequal: No Solution
No 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: 78:[23, 40], Operations: ['31-8=23', '79-39=40']
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 23+40=63, Resulting Numbers: [63]
63,78 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 |
[
56,
75,
28,
60
] | 90 | [
"56*75=4200",
"4200/28=150",
"150-60=90"
] | Current State: 90:[56, 75, 28, 60], Operations: []
Exploring Operation: 56*75=4200, Resulting Numbers: [28, 60, 4200]
Generated Node #2: [28, 60, 4200] from Operation: 56*75=4200
Current State: 90:[28, 60, 4200], Operations: ['56*75=4200']
Exploring Operation: 4200/28=150, Resulting Numbers: [60, 150]
Generated Node #3: [60, 150] from Operation: 4200/28=150
Current State: 90:[60, 150], Operations: ['56*75=4200', '4200/28=150']
Exploring Operation: 150-60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[56, 75, 28, 60], Operations: []
Exploring Operation: 75-60=15, Resulting Numbers: [56, 28, 15]
Generated Node #0,0: 90:[56, 28, 15] Operation: 75-60=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[56, 28, 15], Operations: ['75-60=15']
Exploring Operation: 56/28=2, Resulting Numbers: [15, 2]
Generated Node #0,0,0: 90:[15, 2] Operation: 56/28=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[15, 2], Operations: ['75-60=15', '56/28=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
29,
94,
32,
59
] | 26 | [
"94-29=65",
"32+59=91",
"91-65=26"
] | Current State: 26:[29, 94, 32, 59], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [32, 59, 65]
Generated Node #2: [32, 59, 65] from Operation: 94-29=65
Current State: 26:[32, 59, 65], Operations: ['94-29=65']
Exploring Operation: 32+59=91, Resulting Numbers: [65, 91]
Generated Node #3: [65, 91] from Operation: 32+59=91
Current State: 26:[65, 91], Operations: ['94-29=65', '32+59=91']
Exploring Operation: 91-65=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[29, 94, 32, 59], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [32, 59, 65]
Generated Node #0,0: 26:[32, 59, 65] Operation: 94-29=65
Exploring Operation: 59-29=30, Resulting Numbers: [94, 32, 30]
Generated Node #0,1: 26:[94, 32, 30] Operation: 59-29=30
Exploring Operation: 94-32=62, Resulting Numbers: [29, 59, 62]
Generated Node #0,2: 26:[29, 59, 62] Operation: 94-32=62
Exploring Operation: 94-59=35, Resulting Numbers: [29, 32, 35]
Generated Node #0,3: 26:[29, 32, 35] Operation: 94-59=35
Exploring Operation: 59-32=27, Resulting Numbers: [29, 94, 27]
Generated Node #0,4: 26:[29, 94, 27] Operation: 59-32=27
Moving to Node #0,3
Current State: 26:[29, 32, 35], Operations: ['94-59=35']
Exploring Operation: 35-29=6, Resulting Numbers: [32, 6]
Generated Node #0,3,0: 26:[32, 6] Operation: 35-29=6
Exploring Operation: 35-32=3, Resulting Numbers: [29, 3]
Generated Node #0,3,1: 26:[29, 3] Operation: 35-32=3
Exploring Operation: 29+32=61, Resulting Numbers: [35, 61]
Generated Node #0,3,2: 26:[35, 61] Operation: 29+32=61
Exploring Operation: 29+35=64, Resulting Numbers: [32, 64]
Generated Node #0,3,3: 26:[32, 64] Operation: 29+35=64
Exploring Operation: 32-29=3, Resulting Numbers: [35, 3]
Generated Node #0,3,4: 26:[35, 3] Operation: 32-29=3
Moving to Node #0,4
Current State: 26:[29, 94, 27], Operations: ['59-32=27']
Exploring Operation: 94-29=65, Resulting Numbers: [27, 65]
Generated Node #0,4,0: 26:[27, 65] Operation: 94-29=65
Exploring Operation: 29+27=56, Resulting Numbers: [94, 56]
Generated Node #0,4,1: 26:[94, 56] Operation: 29+27=56
Exploring Operation: 94-27=67, Resulting Numbers: [29, 67]
Generated Node #0,4,2: 26:[29, 67] Operation: 94-27=67
Exploring Operation: 29+94=123, Resulting Numbers: [27, 123]
Generated Node #0,4,3: 26:[27, 123] Operation: 29+94=123
Exploring Operation: 29-27=2, Resulting Numbers: [94, 2]
Generated Node #0,4,4: 26:[94, 2] Operation: 29-27=2
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 26:[27, 65], Operations: ['59-32=27', '94-29=65']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 27+65=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 27*65=1755, Resulting Numbers: [1755]
1755,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 26:[29, 67], Operations: ['59-32=27', '94-27=67']
Exploring Operation: 29*67=1943, Resulting Numbers: [1943]
1943,26 unequal: No Solution
Exploring Operation: 29+67=96, Resulting Numbers: [96]
96,26 unequal: No Solution
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 26:[94, 2], Operations: ['59-32=27', '29-27=2']
Exploring Operation: 94*2=188, Resulting Numbers: [188]
188,26 unequal: No Solution
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,26 unequal: No Solution
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 26:[94, 56], Operations: ['59-32=27', '29+27=56']
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 94*56=5264, Resulting Numbers: [5264]
5264,26 unequal: No Solution
Exploring Operation: 94+56=150, Resulting Numbers: [150]
150,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 26:[27, 123], Operations: ['59-32=27', '29+94=123']
Exploring Operation: 27+123=150, Resulting Numbers: [150]
150,26 unequal: No Solution
Exploring Operation: 123-27=96, Resulting Numbers: [96]
96,26 unequal: No Solution
Exploring Operation: 27*123=3321, Resulting Numbers: [3321]
3321,26 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: 26:[29, 59, 62], Operations: ['94-32=62']
Exploring Operation: 29+59=88, Resulting Numbers: [62, 88]
Generated Node #0,2,0: 26:[62, 88] Operation: 29+59=88
Exploring Operation: 62-59=3, Resulting Numbers: [29, 3]
Generated Node #0,2,1: 26:[29, 3] Operation: 62-59=3
Exploring Operation: 62-29=33, Resulting Numbers: [59, 33]
Generated Node #0,2,2: 26:[59, 33] Operation: 62-29=33
Exploring Operation: 59-29=30, Resulting Numbers: [62, 30]
Generated Node #0,2,3: 26:[62, 30] Operation: 59-29=30
Exploring Operation: 29+62=91, Resulting Numbers: [59, 91]
Generated Node #0,2,4: 26:[59, 91] Operation: 29+62=91
Moving to Node #0,0
Current State: 26:[32, 59, 65], Operations: ['94-29=65']
Exploring Operation: 32+65=97, Resulting Numbers: [59, 97]
Generated Node #0,0,0: 26:[59, 97] Operation: 32+65=97
Exploring Operation: 65-32=33, Resulting Numbers: [59, 33]
Generated Node #0,0,1: 26:[59, 33] Operation: 65-32=33
Exploring Operation: 59-32=27, Resulting Numbers: [65, 27]
Generated Node #0,0,2: 26:[65, 27] Operation: 59-32=27
Exploring Operation: 32+59=91, Resulting Numbers: [65, 91]
Generated Node #0,0,3: 26:[65, 91] Operation: 32+59=91
Exploring Operation: 65-59=6, Resulting Numbers: [32, 6]
Generated Node #0,0,4: 26:[32, 6] Operation: 65-59=6
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 26:[32, 6], Operations: ['94-29=65', '65-59=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,26 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[29, 94, 32, 59], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [32, 59, 65]
Generated Node #0,0: 26:[32, 59, 65] Operation: 94-29=65
Moving to Node #0,0
Current State: 26:[32, 59, 65], Operations: ['94-29=65']
Exploring Operation: 65-59=6, Resulting Numbers: [32, 6]
Generated Node #0,0,4: 26:[32, 6] Operation: 65-59=6
Moving to Node #0,0,4
Current State: 26:[32, 6], Operations: ['94-29=65', '65-59=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | mult_heuristic |
[
68,
2,
63,
15
] | 20 | [
"68-63=5",
"15-5=10",
"2*10=20"
] | Current State: 20:[68, 2, 63, 15], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [2, 15, 5]
Generated Node #2: [2, 15, 5] from Operation: 68-63=5
Current State: 20:[2, 15, 5], Operations: ['68-63=5']
Exploring Operation: 15-5=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 15-5=10
Current State: 20:[2, 10], Operations: ['68-63=5', '15-5=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[68, 2, 63, 15], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [63, 15, 34]
Generated Node #0,0: 20:[63, 15, 34] Operation: 68/2=34
Exploring Operation: 68-15=53, Resulting Numbers: [2, 63, 53]
Generated Node #0,1: 20:[2, 63, 53] Operation: 68-15=53
Exploring Operation: 68-63=5, Resulting Numbers: [2, 15, 5]
Generated Node #0,2: 20:[2, 15, 5] Operation: 68-63=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[2, 15, 5], Operations: ['68-63=5']
Exploring Operation: 15+5=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 20:[2, 20] Operation: 15+5=20
Exploring Operation: 15/5=3, Resulting Numbers: [2, 3]
Generated Node #0,2,1: 20:[2, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [2, 10]
Generated Node #0,2,2: 20:[2, 10] Operation: 15-5=10
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[2, 20], Operations: ['68-63=5', '15+5=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 20:[2, 10], Operations: ['68-63=5', '15-5=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[68, 2, 63, 15], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [2, 15, 5]
Generated Node #0,2: 20:[2, 15, 5] Operation: 68-63=5
Moving to Node #0,2
Current State: 20:[2, 15, 5], Operations: ['68-63=5']
Exploring Operation: 15-5=10, Resulting Numbers: [2, 10]
Generated Node #0,2,2: 20:[2, 10] Operation: 15-5=10
Moving to Node #0,2,2
Current State: 20:[2, 10], Operations: ['68-63=5', '15-5=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
15,
49,
43,
79
] | 88 | [
"49-15=34",
"43+79=122",
"122-34=88"
] | Current State: 88:[15, 49, 43, 79], Operations: []
Exploring Operation: 49-15=34, Resulting Numbers: [43, 79, 34]
Generated Node #2: [43, 79, 34] from Operation: 49-15=34
Current State: 88:[43, 79, 34], Operations: ['49-15=34']
Exploring Operation: 43+79=122, Resulting Numbers: [34, 122]
Generated Node #3: [34, 122] from Operation: 43+79=122
Current State: 88:[34, 122], Operations: ['49-15=34', '43+79=122']
Exploring Operation: 122-34=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[15, 49, 43, 79], Operations: []
Exploring Operation: 79-43=36, Resulting Numbers: [15, 49, 36]
Generated Node #0,0: 88:[15, 49, 36] Operation: 79-43=36
Exploring Operation: 49+43=92, Resulting Numbers: [15, 79, 92]
Generated Node #0,1: 88:[15, 79, 92] Operation: 49+43=92
Exploring Operation: 15+79=94, Resulting Numbers: [49, 43, 94]
Generated Node #0,2: 88:[49, 43, 94] Operation: 15+79=94
Exploring Operation: 79-49=30, Resulting Numbers: [15, 43, 30]
Generated Node #0,3: 88:[15, 43, 30] Operation: 79-49=30
Exploring Operation: 49-43=6, Resulting Numbers: [15, 79, 6]
Generated Node #0,4: 88:[15, 79, 6] Operation: 49-43=6
Moving to Node #0,2
Current State: 88:[49, 43, 94], Operations: ['15+79=94']
Exploring Operation: 49-43=6, Resulting Numbers: [94, 6]
Generated Node #0,2,0: 88:[94, 6] Operation: 49-43=6
Exploring Operation: 94-43=51, Resulting Numbers: [49, 51]
Generated Node #0,2,1: 88:[49, 51] Operation: 94-43=51
Exploring Operation: 94-49=45, Resulting Numbers: [43, 45]
Generated Node #0,2,2: 88:[43, 45] Operation: 94-49=45
Exploring Operation: 49+43=92, Resulting Numbers: [94, 92]
Generated Node #0,2,3: 88:[94, 92] Operation: 49+43=92
Exploring Operation: 43+94=137, Resulting Numbers: [49, 137]
Generated Node #0,2,4: 88:[49, 137] Operation: 43+94=137
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[43, 45], Operations: ['15+79=94', '94-49=45']
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[15, 49, 43, 79], Operations: []
Exploring Operation: 15+79=94, Resulting Numbers: [49, 43, 94]
Generated Node #0,2: 88:[49, 43, 94] Operation: 15+79=94
Moving to Node #0,2
Current State: 88:[49, 43, 94], Operations: ['15+79=94']
Exploring Operation: 94-49=45, Resulting Numbers: [43, 45]
Generated Node #0,2,2: 88:[43, 45] Operation: 94-49=45
Moving to Node #0,2,2
Current State: 88:[43, 45], Operations: ['15+79=94', '94-49=45']
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
69,
81,
24,
88
] | 86 | [
"69+81=150",
"88-24=64",
"150-64=86"
] | Current State: 86:[69, 81, 24, 88], Operations: []
Exploring Operation: 69+81=150, Resulting Numbers: [24, 88, 150]
Generated Node #2: [24, 88, 150] from Operation: 69+81=150
Current State: 86:[24, 88, 150], Operations: ['69+81=150']
Exploring Operation: 88-24=64, Resulting Numbers: [150, 64]
Generated Node #3: [150, 64] from Operation: 88-24=64
Current State: 86:[150, 64], Operations: ['69+81=150', '88-24=64']
Exploring Operation: 150-64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[69, 81, 24, 88], Operations: []
Exploring Operation: 69-24=45, Resulting Numbers: [81, 88, 45]
Generated Node #0,0: 86:[81, 88, 45] Operation: 69-24=45
Exploring Operation: 69+24=93, Resulting Numbers: [81, 88, 93]
Generated Node #0,1: 86:[81, 88, 93] Operation: 69+24=93
Moving to Node #0,0
Current State: 86:[81, 88, 45], Operations: ['69-24=45']
Exploring Operation: 88-45=43, Resulting Numbers: [81, 43]
Generated Node #0,0,0: 86:[81, 43] Operation: 88-45=43
Exploring Operation: 88-81=7, Resulting Numbers: [45, 7]
Generated Node #0,0,1: 86:[45, 7] Operation: 88-81=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[81, 43], Operations: ['69-24=45', '88-45=43']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,86 unequal: No Solution
Exploring Operation: 81+43=124, Resulting Numbers: [124]
124,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[45, 7], Operations: ['69-24=45', '88-81=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,86 unequal: No Solution
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,86 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:[81, 88, 93], Operations: ['69+24=93']
Exploring Operation: 88-81=7, Resulting Numbers: [93, 7]
Generated Node #0,1,0: 86:[93, 7] Operation: 88-81=7
Exploring Operation: 93-88=5, Resulting Numbers: [81, 5]
Generated Node #0,1,1: 86:[81, 5] Operation: 93-88=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[81, 5], Operations: ['69+24=93', '93-88=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,86 unequal: No Solution
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[69, 81, 24, 88], Operations: []
Exploring Operation: 69+24=93, Resulting Numbers: [81, 88, 93]
Generated Node #0,1: 86:[81, 88, 93] Operation: 69+24=93
Moving to Node #0,1
Current State: 86:[81, 88, 93], Operations: ['69+24=93']
Exploring Operation: 93-88=5, Resulting Numbers: [81, 5]
Generated Node #0,1,1: 86:[81, 5] Operation: 93-88=5
Moving to Node #0,1,1
Current State: 86:[81, 5], Operations: ['69+24=93', '93-88=5']
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
43,
22,
5,
91
] | 20 | [
"91-5=86",
"86/43=2",
"22-2=20"
] | Current State: 20:[43, 22, 5, 91], Operations: []
Exploring Operation: 91-5=86, Resulting Numbers: [43, 22, 86]
Generated Node #2: [43, 22, 86] from Operation: 91-5=86
Current State: 20:[43, 22, 86], Operations: ['91-5=86']
Exploring Operation: 86/43=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 86/43=2
Current State: 20:[22, 2], Operations: ['91-5=86', '86/43=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[43, 22, 5, 91], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [22, 91, 38]
Generated Node #0,0: 20:[22, 91, 38] Operation: 43-5=38
Exploring Operation: 43-22=21, Resulting Numbers: [5, 91, 21]
Generated Node #0,1: 20:[5, 91, 21] Operation: 43-22=21
Exploring Operation: 91-22=69, Resulting Numbers: [43, 5, 69]
Generated Node #0,2: 20:[43, 5, 69] Operation: 91-22=69
Exploring Operation: 91-43=48, Resulting Numbers: [22, 5, 48]
Generated Node #0,3: 20:[22, 5, 48] Operation: 91-43=48
Moving to Node #0,3
Current State: 20:[22, 5, 48], Operations: ['91-43=48']
Exploring Operation: 48-22=26, Resulting Numbers: [5, 26]
Generated Node #0,3,0: 20:[5, 26] Operation: 48-22=26
Exploring Operation: 22+5=27, Resulting Numbers: [48, 27]
Generated Node #0,3,1: 20:[48, 27] Operation: 22+5=27
Exploring Operation: 48-5=43, Resulting Numbers: [22, 43]
Generated Node #0,3,2: 20:[22, 43] Operation: 48-5=43
Exploring Operation: 22-5=17, Resulting Numbers: [48, 17]
Generated Node #0,3,3: 20:[48, 17] Operation: 22-5=17
Moving to Node #0,2
Current State: 20:[43, 5, 69], Operations: ['91-22=69']
Exploring Operation: 69-5=64, Resulting Numbers: [43, 64]
Generated Node #0,2,0: 20:[43, 64] Operation: 69-5=64
Exploring Operation: 43-5=38, Resulting Numbers: [69, 38]
Generated Node #0,2,1: 20:[69, 38] Operation: 43-5=38
Exploring Operation: 43+5=48, Resulting Numbers: [69, 48]
Generated Node #0,2,2: 20:[69, 48] Operation: 43+5=48
Exploring Operation: 69-43=26, Resulting Numbers: [5, 26]
Generated Node #0,2,3: 20:[5, 26] Operation: 69-43=26
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 20:[5, 26], Operations: ['91-22=69', '69-43=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,20 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,20 unequal: No Solution
No 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: 20:[43, 64], Operations: ['91-22=69', '69-5=64']
Exploring Operation: 64-43=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 43*64=2752, Resulting Numbers: [2752]
2752,20 unequal: No Solution
Exploring Operation: 43+64=107, Resulting Numbers: [107]
107,20 unequal: No Solution
No 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: 20:[69, 38], Operations: ['91-22=69', '43-5=38']
Exploring Operation: 69*38=2622, Resulting Numbers: [2622]
2622,20 unequal: No Solution
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Exploring Operation: 69+38=107, Resulting Numbers: [107]
107,20 unequal: No Solution
No 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: 20:[69, 48], Operations: ['91-22=69', '43+5=48']
Exploring Operation: 69*48=3312, Resulting Numbers: [3312]
3312,20 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 69+48=117, Resulting Numbers: [117]
117,20 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: 20:[5, 91, 21], Operations: ['43-22=21']
Exploring Operation: 91-21=70, Resulting Numbers: [5, 70]
Generated Node #0,1,0: 20:[5, 70] Operation: 91-21=70
Exploring Operation: 91-5=86, Resulting Numbers: [21, 86]
Generated Node #0,1,1: 20:[21, 86] Operation: 91-5=86
Exploring Operation: 5+91=96, Resulting Numbers: [21, 96]
Generated Node #0,1,2: 20:[21, 96] Operation: 5+91=96
Exploring Operation: 21-5=16, Resulting Numbers: [91, 16]
Generated Node #0,1,3: 20:[91, 16] Operation: 21-5=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[5, 70], Operations: ['43-22=21', '91-21=70']
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,20 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,20 unequal: No Solution
No 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: 20:[21, 86], Operations: ['43-22=21', '91-5=86']
Exploring Operation: 21*86=1806, Resulting Numbers: [1806]
1806,20 unequal: No Solution
Exploring Operation: 21+86=107, Resulting Numbers: [107]
107,20 unequal: No Solution
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,20 unequal: No Solution
No 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: 20:[91, 16], Operations: ['43-22=21', '21-5=16']
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,20 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,20 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,20 unequal: No Solution
No 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: 20:[21, 96], Operations: ['43-22=21', '5+91=96']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 21*96=2016, Resulting Numbers: [2016]
2016,20 unequal: No Solution
Exploring Operation: 21+96=117, Resulting Numbers: [117]
117,20 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: 20:[22, 91, 38], Operations: ['43-5=38']
Exploring Operation: 38-22=16, Resulting Numbers: [91, 16]
Generated Node #0,0,0: 20:[91, 16] Operation: 38-22=16
Exploring Operation: 22+91=113, Resulting Numbers: [38, 113]
Generated Node #0,0,1: 20:[38, 113] Operation: 22+91=113
Exploring Operation: 91-38=53, Resulting Numbers: [22, 53]
Generated Node #0,0,2: 20:[22, 53] Operation: 91-38=53
Exploring Operation: 91-22=69, Resulting Numbers: [38, 69]
Generated Node #0,0,3: 20:[38, 69] Operation: 91-22=69
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[22, 53], Operations: ['43-5=38', '91-38=53']
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,20 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,20 unequal: No Solution
No 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: 20:[38, 69], Operations: ['43-5=38', '91-22=69']
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Exploring Operation: 38+69=107, Resulting Numbers: [107]
107,20 unequal: No Solution
Exploring Operation: 38*69=2622, Resulting Numbers: [2622]
2622,20 unequal: No Solution
No 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: 20:[91, 16], Operations: ['43-5=38', '38-22=16']
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,20 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,20 unequal: No Solution
No 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: 20:[38, 113], Operations: ['43-5=38', '22+91=113']
Exploring Operation: 113-38=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 38*113=4294, Resulting Numbers: [4294]
4294,20 unequal: No Solution
Exploring Operation: 38+113=151, Resulting Numbers: [151]
151,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 20:[5, 26], Operations: ['91-43=48', '48-22=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,20 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Moving to Node #0,3,2
Current State: 20:[22, 43], Operations: ['91-43=48', '48-5=43']
Exploring Operation: 22+43=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Exploring Operation: 22*43=946, Resulting Numbers: [946]
946,20 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[48, 17], Operations: ['91-43=48', '22-5=17']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Exploring Operation: 48*17=816, Resulting Numbers: [816]
816,20 unequal: No Solution
Exploring Operation: 48+17=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Moving to Node #0,3,1
Current State: 20:[48, 27], Operations: ['91-43=48', '22+5=27']
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,20 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,20 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
2,
73,
33,
63
] | 13 | [
"73-63=10",
"2*10=20",
"33-20=13"
] | Current State: 13:[2, 73, 33, 63], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [2, 33, 10]
Generated Node #2: [2, 33, 10] from Operation: 73-63=10
Current State: 13:[2, 33, 10], Operations: ['73-63=10']
Exploring Operation: 2*10=20, Resulting Numbers: [33, 20]
Generated Node #3: [33, 20] from Operation: 2*10=20
Current State: 13:[33, 20], Operations: ['73-63=10', '2*10=20']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[2, 73, 33, 63], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [2, 33, 10]
Generated Node #0,0: 13:[2, 33, 10] Operation: 73-63=10
Exploring Operation: 73-33=40, Resulting Numbers: [2, 63, 40]
Generated Node #0,1: 13:[2, 63, 40] Operation: 73-33=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[2, 33, 10], Operations: ['73-63=10']
Exploring Operation: 33-2=31, Resulting Numbers: [10, 31]
Generated Node #0,0,0: 13:[10, 31] Operation: 33-2=31
Exploring Operation: 2+10=12, Resulting Numbers: [33, 12]
Generated Node #0,0,1: 13:[33, 12] Operation: 2+10=12
Moving to Node #0,0,0
Current State: 13:[10, 31], Operations: ['73-63=10', '33-2=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,13 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[33, 12], Operations: ['73-63=10', '2+10=12']
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,13 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,13 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:[2, 63, 40], Operations: ['73-33=40']
Exploring Operation: 40/2=20, Resulting Numbers: [63, 20]
Generated Node #0,1,0: 13:[63, 20] Operation: 40/2=20
Exploring Operation: 63-40=23, Resulting Numbers: [2, 23]
Generated Node #0,1,1: 13:[2, 23] Operation: 63-40=23
Moving to Node #0,1,1
Current State: 13:[2, 23], Operations: ['73-33=40', '63-40=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,13 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[63, 20], Operations: ['73-33=40', '40/2=20']
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,13 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,13 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 |
[
80,
52,
3,
29
] | 78 | [
"29-3=26",
"52/26=2",
"80-2=78"
] | Current State: 78:[80, 52, 3, 29], Operations: []
Exploring Operation: 29-3=26, Resulting Numbers: [80, 52, 26]
Generated Node #2: [80, 52, 26] from Operation: 29-3=26
Current State: 78:[80, 52, 26], Operations: ['29-3=26']
Exploring Operation: 52/26=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 52/26=2
Current State: 78:[80, 2], Operations: ['29-3=26', '52/26=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[80, 52, 3, 29], Operations: []
Exploring Operation: 52+29=81, Resulting Numbers: [80, 3, 81]
Generated Node #0,0: 78:[80, 3, 81] Operation: 52+29=81
Exploring Operation: 80-52=28, Resulting Numbers: [3, 29, 28]
Generated Node #0,1: 78:[3, 29, 28] Operation: 80-52=28
Moving to Node #0,0
Current State: 78:[80, 3, 81], Operations: ['52+29=81']
Exploring Operation: 81-80=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 78:[3, 1] Operation: 81-80=1
Exploring Operation: 81-3=78, Resulting Numbers: [80, 78]
Generated Node #0,0,1: 78:[80, 78] Operation: 81-3=78
Moving to Node #0,1
Current State: 78:[3, 29, 28], Operations: ['80-52=28']
Exploring Operation: 29-3=26, Resulting Numbers: [28, 26]
Generated Node #0,1,0: 78:[28, 26] Operation: 29-3=26
Exploring Operation: 29-28=1, Resulting Numbers: [3, 1]
Generated Node #0,1,1: 78:[3, 1] Operation: 29-28=1
Moving to Node #0,0,0
Current State: 78:[3, 1], Operations: ['52+29=81', '81-80=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[3, 1], Operations: ['80-52=28', '29-28=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[80, 78], Operations: ['52+29=81', '81-3=78']
Exploring Operation: 80-78=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 80+78=158, Resulting Numbers: [158]
158,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[28, 26], Operations: ['80-52=28', '29-3=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,78 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
93,
51,
39,
91
] | 94 | [
"93-51=42",
"91-39=52",
"42+52=94"
] | Current State: 94:[93, 51, 39, 91], Operations: []
Exploring Operation: 93-51=42, Resulting Numbers: [39, 91, 42]
Generated Node #2: [39, 91, 42] from Operation: 93-51=42
Current State: 94:[39, 91, 42], Operations: ['93-51=42']
Exploring Operation: 91-39=52, Resulting Numbers: [42, 52]
Generated Node #3: [42, 52] from Operation: 91-39=52
Current State: 94:[42, 52], Operations: ['93-51=42', '91-39=52']
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[93, 51, 39, 91], Operations: []
Exploring Operation: 91-39=52, Resulting Numbers: [93, 51, 52]
Generated Node #0,0: 94:[93, 51, 52] Operation: 91-39=52
Exploring Operation: 93-91=2, Resulting Numbers: [51, 39, 2]
Generated Node #0,1: 94:[51, 39, 2] Operation: 93-91=2
Exploring Operation: 51+39=90, Resulting Numbers: [93, 91, 90]
Generated Node #0,2: 94:[93, 91, 90] Operation: 51+39=90
Moving to Node #0,2
Current State: 94:[93, 91, 90], Operations: ['51+39=90']
Exploring Operation: 91-90=1, Resulting Numbers: [93, 1]
Generated Node #0,2,0: 94:[93, 1] Operation: 91-90=1
Exploring Operation: 93-90=3, Resulting Numbers: [91, 3]
Generated Node #0,2,1: 94:[91, 3] Operation: 93-90=3
Exploring Operation: 93-91=2, Resulting Numbers: [90, 2]
Generated Node #0,2,2: 94:[90, 2] Operation: 93-91=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[93, 1], Operations: ['51+39=90', '91-90=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[93, 51, 39, 91], Operations: []
Exploring Operation: 51+39=90, Resulting Numbers: [93, 91, 90]
Generated Node #0,2: 94:[93, 91, 90] Operation: 51+39=90
Moving to Node #0,2
Current State: 94:[93, 91, 90], Operations: ['51+39=90']
Exploring Operation: 91-90=1, Resulting Numbers: [93, 1]
Generated Node #0,2,0: 94:[93, 1] Operation: 91-90=1
Moving to Node #0,2,0
Current State: 94:[93, 1], Operations: ['51+39=90', '91-90=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
5,
50,
19,
7
] | 43 | [
"5+50=55",
"19-7=12",
"55-12=43"
] | Current State: 43:[5, 50, 19, 7], Operations: []
Exploring Operation: 5+50=55, Resulting Numbers: [19, 7, 55]
Generated Node #2: [19, 7, 55] from Operation: 5+50=55
Current State: 43:[19, 7, 55], Operations: ['5+50=55']
Exploring Operation: 19-7=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 19-7=12
Current State: 43:[55, 12], Operations: ['5+50=55', '19-7=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[5, 50, 19, 7], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [19, 7, 45]
Generated Node #0,0: 43:[19, 7, 45] Operation: 50-5=45
Exploring Operation: 5*7=35, Resulting Numbers: [50, 19, 35]
Generated Node #0,1: 43:[50, 19, 35] Operation: 5*7=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[50, 19, 35], Operations: ['5*7=35']
Exploring Operation: 50-19=31, Resulting Numbers: [35, 31]
Generated Node #0,1,0: 43:[35, 31] Operation: 50-19=31
Exploring Operation: 19+35=54, Resulting Numbers: [50, 54]
Generated Node #0,1,1: 43:[50, 54] Operation: 19+35=54
Moving to Node #0,1,1
Current State: 43:[50, 54], Operations: ['5*7=35', '19+35=54']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 50+54=104, Resulting Numbers: [104]
104,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[35, 31], Operations: ['5*7=35', '50-19=31']
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[19, 7, 45], Operations: ['50-5=45']
Exploring Operation: 19+7=26, Resulting Numbers: [45, 26]
Generated Node #0,0,0: 43:[45, 26] Operation: 19+7=26
Exploring Operation: 45-7=38, Resulting Numbers: [19, 38]
Generated Node #0,0,1: 43:[19, 38] Operation: 45-7=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[45, 26], Operations: ['50-5=45', '19+7=26']
Exploring Operation: 45+26=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,43 unequal: No Solution
No 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: 43:[19, 38], Operations: ['50-5=45', '45-7=38']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,43 unequal: No Solution
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,43 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_2 | sum_heuristic |
[
13,
83,
65,
51
] | 99 | [
"65-51=14",
"13*14=182",
"182-83=99"
] | Current State: 99:[13, 83, 65, 51], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [13, 83, 14]
Generated Node #2: [13, 83, 14] from Operation: 65-51=14
Current State: 99:[13, 83, 14], Operations: ['65-51=14']
Exploring Operation: 13*14=182, Resulting Numbers: [83, 182]
Generated Node #3: [83, 182] from Operation: 13*14=182
Current State: 99:[83, 182], Operations: ['65-51=14', '13*14=182']
Exploring Operation: 182-83=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[13, 83, 65, 51], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [13, 65, 32]
Generated Node #0,0: 99:[13, 65, 32] Operation: 83-51=32
Exploring Operation: 83-65=18, Resulting Numbers: [13, 51, 18]
Generated Node #0,1: 99:[13, 51, 18] Operation: 83-65=18
Exploring Operation: 65-51=14, Resulting Numbers: [13, 83, 14]
Generated Node #0,2: 99:[13, 83, 14] Operation: 65-51=14
Exploring Operation: 65+51=116, Resulting Numbers: [13, 83, 116]
Generated Node #0,3: 99:[13, 83, 116] Operation: 65+51=116
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[13, 83, 14], Operations: ['65-51=14']
Exploring Operation: 14-13=1, Resulting Numbers: [83, 1]
Generated Node #0,2,0: 99:[83, 1] Operation: 14-13=1
Exploring Operation: 13+14=27, Resulting Numbers: [83, 27]
Generated Node #0,2,1: 99:[83, 27] Operation: 13+14=27
Exploring Operation: 13+83=96, Resulting Numbers: [14, 96]
Generated Node #0,2,2: 99:[14, 96] Operation: 13+83=96
Exploring Operation: 83+14=97, Resulting Numbers: [13, 97]
Generated Node #0,2,3: 99:[13, 97] Operation: 83+14=97
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 99:[13, 97], Operations: ['65-51=14', '83+14=97']
Exploring Operation: 97-13=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 13*97=1261, Resulting Numbers: [1261]
1261,99 unequal: No Solution
Exploring Operation: 13+97=110, Resulting Numbers: [110]
110,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 99:[14, 96], Operations: ['65-51=14', '13+83=96']
Exploring Operation: 14*96=1344, Resulting Numbers: [1344]
1344,99 unequal: No Solution
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 14+96=110, Resulting Numbers: [110]
110,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 99:[83, 1], Operations: ['65-51=14', '14-13=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,99 unequal: No Solution
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,99 unequal: No Solution
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 99:[83, 27], Operations: ['65-51=14', '13+14=27']
Exploring Operation: 83*27=2241, Resulting Numbers: [2241]
2241,99 unequal: No Solution
Exploring Operation: 83+27=110, Resulting Numbers: [110]
110,99 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[13, 51, 18], Operations: ['83-65=18']
Exploring Operation: 51-13=38, Resulting Numbers: [18, 38]
Generated Node #0,1,0: 99:[18, 38] Operation: 51-13=38
Exploring Operation: 13+18=31, Resulting Numbers: [51, 31]
Generated Node #0,1,1: 99:[51, 31] Operation: 13+18=31
Exploring Operation: 51-18=33, Resulting Numbers: [13, 33]
Generated Node #0,1,2: 99:[13, 33] Operation: 51-18=33
Exploring Operation: 18-13=5, Resulting Numbers: [51, 5]
Generated Node #0,1,3: 99:[51, 5] Operation: 18-13=5
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 99:[13, 33], Operations: ['83-65=18', '51-18=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,99 unequal: No Solution
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[18, 38], Operations: ['83-65=18', '51-13=38']
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,99 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[51, 31], Operations: ['83-65=18', '13+18=31']
Exploring Operation: 51*31=1581, Resulting Numbers: [1581]
1581,99 unequal: No Solution
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 51+31=82, Resulting Numbers: [82]
82,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 99:[51, 5], Operations: ['83-65=18', '18-13=5']
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,99 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[13, 65, 32], Operations: ['83-51=32']
Exploring Operation: 65-32=33, Resulting Numbers: [13, 33]
Generated Node #0,0,0: 99:[13, 33] Operation: 65-32=33
Exploring Operation: 65/13=5, Resulting Numbers: [32, 5]
Generated Node #0,0,1: 99:[32, 5] Operation: 65/13=5
Exploring Operation: 65-13=52, Resulting Numbers: [32, 52]
Generated Node #0,0,2: 99:[32, 52] Operation: 65-13=52
Exploring Operation: 65+32=97, Resulting Numbers: [13, 97]
Generated Node #0,0,3: 99:[13, 97] Operation: 65+32=97
Moving to Node #0,0,0
Current State: 99:[13, 33], Operations: ['83-51=32', '65-32=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[32, 5], Operations: ['83-51=32', '65/13=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,99 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,99 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[13, 97], Operations: ['83-51=32', '65+32=97']
Exploring Operation: 13*97=1261, Resulting Numbers: [1261]
1261,99 unequal: No Solution
Exploring Operation: 97-13=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 13+97=110, Resulting Numbers: [110]
110,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[32, 52], Operations: ['83-51=32', '65-13=52']
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 99:[13, 83, 116], Operations: ['65+51=116']
Exploring Operation: 116-83=33, Resulting Numbers: [13, 33]
Generated Node #0,3,0: 99:[13, 33] Operation: 116-83=33
Exploring Operation: 13+83=96, Resulting Numbers: [116, 96]
Generated Node #0,3,1: 99:[116, 96] Operation: 13+83=96
Exploring Operation: 116-13=103, Resulting Numbers: [83, 103]
Generated Node #0,3,2: 99:[83, 103] Operation: 116-13=103
Exploring Operation: 83-13=70, Resulting Numbers: [116, 70]
Generated Node #0,3,3: 99:[116, 70] Operation: 83-13=70
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 99:[13, 33], Operations: ['65+51=116', '116-83=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 99:[116, 96], Operations: ['65+51=116', '13+83=96']
Exploring Operation: 116+96=212, Resulting Numbers: [212]
212,99 unequal: No Solution
Exploring Operation: 116*96=11136, Resulting Numbers: [11136]
11136,99 unequal: No Solution
Exploring Operation: 116-96=20, Resulting Numbers: [20]
20,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 99:[83, 103], Operations: ['65+51=116', '116-13=103']
Exploring Operation: 83+103=186, Resulting Numbers: [186]
186,99 unequal: No Solution
Exploring Operation: 83*103=8549, Resulting Numbers: [8549]
8549,99 unequal: No Solution
Exploring Operation: 103-83=20, Resulting Numbers: [20]
20,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 99:[116, 70], Operations: ['65+51=116', '83-13=70']
Exploring Operation: 116*70=8120, Resulting Numbers: [8120]
8120,99 unequal: No Solution
Exploring Operation: 116+70=186, Resulting Numbers: [186]
186,99 unequal: No Solution
Exploring Operation: 116-70=46, Resulting Numbers: [46]
46,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
44,
17,
2,
47
] | 40 | [
"44-17=27",
"47-27=20",
"2*20=40"
] | Current State: 40:[44, 17, 2, 47], Operations: []
Exploring Operation: 44-17=27, Resulting Numbers: [2, 47, 27]
Generated Node #2: [2, 47, 27] from Operation: 44-17=27
Current State: 40:[2, 47, 27], Operations: ['44-17=27']
Exploring Operation: 47-27=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 47-27=20
Current State: 40:[2, 20], Operations: ['44-17=27', '47-27=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[44, 17, 2, 47], Operations: []
Exploring Operation: 44/2=22, Resulting Numbers: [17, 47, 22]
Generated Node #0,0: 40:[17, 47, 22] Operation: 44/2=22
Exploring Operation: 44-2=42, Resulting Numbers: [17, 47, 42]
Generated Node #0,1: 40:[17, 47, 42] Operation: 44-2=42
Exploring Operation: 17+2=19, Resulting Numbers: [44, 47, 19]
Generated Node #0,2: 40:[44, 47, 19] Operation: 17+2=19
Exploring Operation: 47-44=3, Resulting Numbers: [17, 2, 3]
Generated Node #0,3: 40:[17, 2, 3] Operation: 47-44=3
Moving to Node #0,3
Current State: 40:[17, 2, 3], Operations: ['47-44=3']
Exploring Operation: 17+2=19, Resulting Numbers: [3, 19]
Generated Node #0,3,0: 40:[3, 19] Operation: 17+2=19
Exploring Operation: 2+3=5, Resulting Numbers: [17, 5]
Generated Node #0,3,1: 40:[17, 5] Operation: 2+3=5
Exploring Operation: 17+3=20, Resulting Numbers: [2, 20]
Generated Node #0,3,2: 40:[2, 20] Operation: 17+3=20
Exploring Operation: 17-3=14, Resulting Numbers: [2, 14]
Generated Node #0,3,3: 40:[2, 14] Operation: 17-3=14
Moving to Node #0,1
Current State: 40:[17, 47, 42], Operations: ['44-2=42']
Exploring Operation: 42-17=25, Resulting Numbers: [47, 25]
Generated Node #0,1,0: 40:[47, 25] Operation: 42-17=25
Exploring Operation: 17+47=64, Resulting Numbers: [42, 64]
Generated Node #0,1,1: 40:[42, 64] Operation: 17+47=64
Exploring Operation: 47-17=30, Resulting Numbers: [42, 30]
Generated Node #0,1,2: 40:[42, 30] Operation: 47-17=30
Exploring Operation: 47-42=5, Resulting Numbers: [17, 5]
Generated Node #0,1,3: 40:[17, 5] Operation: 47-42=5
Moving to Node #0,0
Current State: 40:[17, 47, 22], Operations: ['44/2=22']
Exploring Operation: 17+22=39, Resulting Numbers: [47, 39]
Generated Node #0,0,0: 40:[47, 39] Operation: 17+22=39
Exploring Operation: 22-17=5, Resulting Numbers: [47, 5]
Generated Node #0,0,1: 40:[47, 5] Operation: 22-17=5
Exploring Operation: 47-17=30, Resulting Numbers: [22, 30]
Generated Node #0,0,2: 40:[22, 30] Operation: 47-17=30
Exploring Operation: 47-22=25, Resulting Numbers: [17, 25]
Generated Node #0,0,3: 40:[17, 25] Operation: 47-22=25
Moving to Node #0,2
Current State: 40:[44, 47, 19], Operations: ['17+2=19']
Exploring Operation: 44+19=63, Resulting Numbers: [47, 63]
Generated Node #0,2,0: 40:[47, 63] Operation: 44+19=63
Exploring Operation: 44-19=25, Resulting Numbers: [47, 25]
Generated Node #0,2,1: 40:[47, 25] Operation: 44-19=25
Exploring Operation: 47-19=28, Resulting Numbers: [44, 28]
Generated Node #0,2,2: 40:[44, 28] Operation: 47-19=28
Exploring Operation: 47-44=3, Resulting Numbers: [19, 3]
Generated Node #0,2,3: 40:[19, 3] Operation: 47-44=3
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 40:[19, 3], Operations: ['17+2=19', '47-44=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 40:[47, 25], Operations: ['17+2=19', '44-19=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,40 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 47*25=1175, Resulting Numbers: [1175]
1175,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 40:[44, 28], Operations: ['17+2=19', '47-19=28']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 44*28=1232, Resulting Numbers: [1232]
1232,40 unequal: No Solution
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 40:[47, 63], Operations: ['17+2=19', '44+19=63']
Exploring Operation: 47*63=2961, Resulting Numbers: [2961]
2961,40 unequal: No Solution
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,40 unequal: No Solution
Exploring Operation: 47+63=110, Resulting Numbers: [110]
110,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 40:[2, 20], Operations: ['47-44=3', '17+3=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[44, 17, 2, 47], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [17, 2, 3]
Generated Node #0,3: 40:[17, 2, 3] Operation: 47-44=3
Moving to Node #0,3
Current State: 40:[17, 2, 3], Operations: ['47-44=3']
Exploring Operation: 17+3=20, Resulting Numbers: [2, 20]
Generated Node #0,3,2: 40:[2, 20] Operation: 17+3=20
Moving to Node #0,3,2
Current State: 40:[2, 20], Operations: ['47-44=3', '17+3=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.967014 | hs_4 | mult_heuristic |
[
40,
28,
15,
20
] | 24 | [
"40+20=60",
"60/15=4",
"28-4=24"
] | Current State: 24:[40, 28, 15, 20], Operations: []
Exploring Operation: 40+20=60, Resulting Numbers: [28, 15, 60]
Generated Node #2: [28, 15, 60] from Operation: 40+20=60
Current State: 24:[28, 15, 60], Operations: ['40+20=60']
Exploring Operation: 60/15=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 60/15=4
Current State: 24:[28, 4], Operations: ['40+20=60', '60/15=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[40, 28, 15, 20], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [15, 20, 12]
Generated Node #0,0: 24:[15, 20, 12] Operation: 40-28=12
Moving to Node #0,0
Current State: 24:[15, 20, 12], Operations: ['40-28=12']
Exploring Operation: 20-15=5, Resulting Numbers: [12, 5]
Generated Node #0,0,0: 24:[12, 5] Operation: 20-15=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[12, 5], Operations: ['40-28=12', '20-15=5']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,24 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 |
[
97,
51,
7,
36
] | 70 | [
"97-51=46",
"46-36=10",
"7*10=70"
] | Current State: 70:[97, 51, 7, 36], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [7, 36, 46]
Generated Node #2: [7, 36, 46] from Operation: 97-51=46
Current State: 70:[7, 36, 46], Operations: ['97-51=46']
Exploring Operation: 46-36=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 46-36=10
Current State: 70:[7, 10], Operations: ['97-51=46', '46-36=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[97, 51, 7, 36], Operations: []
Exploring Operation: 97-36=61, Resulting Numbers: [51, 7, 61]
Generated Node #0,0: 70:[51, 7, 61] Operation: 97-36=61
Exploring Operation: 97-7=90, Resulting Numbers: [51, 36, 90]
Generated Node #0,1: 70:[51, 36, 90] Operation: 97-7=90
Exploring Operation: 51-36=15, Resulting Numbers: [97, 7, 15]
Generated Node #0,2: 70:[97, 7, 15] Operation: 51-36=15
Exploring Operation: 97-51=46, Resulting Numbers: [7, 36, 46]
Generated Node #0,3: 70:[7, 36, 46] Operation: 97-51=46
Exploring Operation: 51-7=44, Resulting Numbers: [97, 36, 44]
Generated Node #0,4: 70:[97, 36, 44] Operation: 51-7=44
Moving to Node #0,3
Current State: 70:[7, 36, 46], Operations: ['97-51=46']
Exploring Operation: 46-7=39, Resulting Numbers: [36, 39]
Generated Node #0,3,0: 70:[36, 39] Operation: 46-7=39
Exploring Operation: 36-7=29, Resulting Numbers: [46, 29]
Generated Node #0,3,1: 70:[46, 29] Operation: 36-7=29
Exploring Operation: 46-36=10, Resulting Numbers: [7, 10]
Generated Node #0,3,2: 70:[7, 10] Operation: 46-36=10
Exploring Operation: 36+46=82, Resulting Numbers: [7, 82]
Generated Node #0,3,3: 70:[7, 82] Operation: 36+46=82
Exploring Operation: 7+46=53, Resulting Numbers: [36, 53]
Generated Node #0,3,4: 70:[36, 53] Operation: 7+46=53
Moving to Node #0,0
Current State: 70:[51, 7, 61], Operations: ['97-36=61']
Exploring Operation: 61-51=10, Resulting Numbers: [7, 10]
Generated Node #0,0,0: 70:[7, 10] Operation: 61-51=10
Exploring Operation: 51+7=58, Resulting Numbers: [61, 58]
Generated Node #0,0,1: 70:[61, 58] Operation: 51+7=58
Exploring Operation: 51-7=44, Resulting Numbers: [61, 44]
Generated Node #0,0,2: 70:[61, 44] Operation: 51-7=44
Exploring Operation: 7+61=68, Resulting Numbers: [51, 68]
Generated Node #0,0,3: 70:[51, 68] Operation: 7+61=68
Exploring Operation: 61-7=54, Resulting Numbers: [51, 54]
Generated Node #0,0,4: 70:[51, 54] Operation: 61-7=54
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[7, 10], Operations: ['97-36=61', '61-51=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,70 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[97, 51, 7, 36], Operations: []
Exploring Operation: 97-36=61, Resulting Numbers: [51, 7, 61]
Generated Node #0,0: 70:[51, 7, 61] Operation: 97-36=61
Moving to Node #0,0
Current State: 70:[51, 7, 61], Operations: ['97-36=61']
Exploring Operation: 61-51=10, Resulting Numbers: [7, 10]
Generated Node #0,0,0: 70:[7, 10] Operation: 61-51=10
Moving to Node #0,0,0
Current State: 70:[7, 10], Operations: ['97-36=61', '61-51=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
52,
41,
8,
44
] | 42 | [
"52-8=44",
"44/44=1",
"41+1=42"
] | Current State: 42:[52, 41, 8, 44], Operations: []
Exploring Operation: 52-8=44, Resulting Numbers: [41, 44, 44]
Generated Node #2: [41, 44, 44] from Operation: 52-8=44
Current State: 42:[41, 44, 44], Operations: ['52-8=44']
Exploring Operation: 44/44=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 44/44=1
Current State: 42:[41, 1], Operations: ['52-8=44', '44/44=1']
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[52, 41, 8, 44], Operations: []
Exploring Operation: 52-8=44, Resulting Numbers: [41, 44, 44]
Generated Node #0,0: 42:[41, 44, 44] Operation: 52-8=44
Exploring Operation: 44-41=3, Resulting Numbers: [52, 8, 3]
Generated Node #0,1: 42:[52, 8, 3] Operation: 44-41=3
Exploring Operation: 52-41=11, Resulting Numbers: [8, 44, 11]
Generated Node #0,2: 42:[8, 44, 11] Operation: 52-41=11
Exploring Operation: 44-8=36, Resulting Numbers: [52, 41, 36]
Generated Node #0,3: 42:[52, 41, 36] Operation: 44-8=36
Exploring Operation: 52-44=8, Resulting Numbers: [41, 8, 8]
Generated Node #0,4: 42:[41, 8, 8] Operation: 52-44=8
Start Sub Search at level 1: Moving to Node #0,4
Current State: 42:[41, 8, 8], Operations: ['52-44=8']
Exploring Operation: 8/8=1, Resulting Numbers: [41, 1]
Generated Node #0,4,0: 42:[41, 1] Operation: 8/8=1
Exploring Operation: 41+8=49, Resulting Numbers: [8, 49]
Generated Node #0,4,1: 42:[8, 49] Operation: 41+8=49
Exploring Operation: 41+8=49, Resulting Numbers: [8, 49]
Generated Node #0,4,2: 42:[8, 49] Operation: 41+8=49
Exploring Operation: 8-8=0, Resulting Numbers: [41, 0]
Generated Node #0,4,3: 42:[41, 0] Operation: 8-8=0
Exploring Operation: 8+8=16, Resulting Numbers: [41, 16]
Generated Node #0,4,4: 42:[41, 16] Operation: 8+8=16
Moving to Node #0,4,0
Current State: 42:[41, 1], Operations: ['52-44=8', '8/8=1']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[52, 41, 8, 44], Operations: []
Exploring Operation: 52-44=8, Resulting Numbers: [41, 8, 8]
Generated Node #0,4: 42:[41, 8, 8] Operation: 52-44=8
Moving to Node #0,4
Current State: 42:[41, 8, 8], Operations: ['52-44=8']
Exploring Operation: 8/8=1, Resulting Numbers: [41, 1]
Generated Node #0,4,0: 42:[41, 1] Operation: 8/8=1
Moving to Node #0,4,0
Current State: 42:[41, 1], Operations: ['52-44=8', '8/8=1']
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
91,
26,
54,
27
] | 38 | [
"91-26=65",
"54-27=27",
"65-27=38"
] | Current State: 38:[91, 26, 54, 27], Operations: []
Exploring Operation: 91-26=65, Resulting Numbers: [54, 27, 65]
Generated Node #2: [54, 27, 65] from Operation: 91-26=65
Current State: 38:[54, 27, 65], Operations: ['91-26=65']
Exploring Operation: 54-27=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 54-27=27
Current State: 38:[65, 27], Operations: ['91-26=65', '54-27=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[91, 26, 54, 27], Operations: []
Exploring Operation: 91-27=64, Resulting Numbers: [26, 54, 64]
Generated Node #0,0: 38:[26, 54, 64] Operation: 91-27=64
Exploring Operation: 91-54=37, Resulting Numbers: [26, 27, 37]
Generated Node #0,1: 38:[26, 27, 37] Operation: 91-54=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[26, 27, 37], Operations: ['91-54=37']
Exploring Operation: 37-27=10, Resulting Numbers: [26, 10]
Generated Node #0,1,0: 38:[26, 10] Operation: 37-27=10
Exploring Operation: 27-26=1, Resulting Numbers: [37, 1]
Generated Node #0,1,1: 38:[37, 1] Operation: 27-26=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[37, 1], Operations: ['91-54=37', '27-26=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[91, 26, 54, 27], Operations: []
Exploring Operation: 91-54=37, Resulting Numbers: [26, 27, 37]
Generated Node #0,1: 38:[26, 27, 37] Operation: 91-54=37
Moving to Node #0,1
Current State: 38:[26, 27, 37], Operations: ['91-54=37']
Exploring Operation: 27-26=1, Resulting Numbers: [37, 1]
Generated Node #0,1,1: 38:[37, 1] Operation: 27-26=1
Moving to Node #0,1,1
Current State: 38:[37, 1], Operations: ['91-54=37', '27-26=1']
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
96,
38,
45,
48
] | 80 | [
"96*38=3648",
"3648-48=3600",
"3600/45=80"
] | Current State: 80:[96, 38, 45, 48], Operations: []
Exploring Operation: 96*38=3648, Resulting Numbers: [45, 48, 3648]
Generated Node #2: [45, 48, 3648] from Operation: 96*38=3648
Current State: 80:[45, 48, 3648], Operations: ['96*38=3648']
Exploring Operation: 3648-48=3600, Resulting Numbers: [45, 3600]
Generated Node #3: [45, 3600] from Operation: 3648-48=3600
Current State: 80:[45, 3600], Operations: ['96*38=3648', '3648-48=3600']
Exploring Operation: 3600/45=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[96, 38, 45, 48], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [38, 45, 48]
Generated Node #0,0: 80:[38, 45, 48] Operation: 96-48=48
Exploring Operation: 96/48=2, Resulting Numbers: [38, 45, 2]
Generated Node #0,1: 80:[38, 45, 2] Operation: 96/48=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[38, 45, 2], Operations: ['96/48=2']
Exploring Operation: 45-38=7, Resulting Numbers: [2, 7]
Generated Node #0,1,0: 80:[2, 7] Operation: 45-38=7
Exploring Operation: 38+45=83, Resulting Numbers: [2, 83]
Generated Node #0,1,1: 80:[2, 83] Operation: 38+45=83
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[2, 7], Operations: ['96/48=2', '45-38=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 80:[2, 83], Operations: ['96/48=2', '38+45=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[38, 45, 48], Operations: ['96-48=48']
Exploring Operation: 48-38=10, Resulting Numbers: [45, 10]
Generated Node #0,0,0: 80:[45, 10] Operation: 48-38=10
Exploring Operation: 48-45=3, Resulting Numbers: [38, 3]
Generated Node #0,0,1: 80:[38, 3] Operation: 48-45=3
Moving to Node #0,0,1
Current State: 80:[38, 3], Operations: ['96-48=48', '48-45=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[45, 10], Operations: ['96-48=48', '48-38=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,80 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 |
[
94,
22,
21,
9
] | 60 | [
"94-22=72",
"21-9=12",
"72-12=60"
] | Current State: 60:[94, 22, 21, 9], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [21, 9, 72]
Generated Node #2: [21, 9, 72] from Operation: 94-22=72
Current State: 60:[21, 9, 72], Operations: ['94-22=72']
Exploring Operation: 21-9=12, Resulting Numbers: [72, 12]
Generated Node #3: [72, 12] from Operation: 21-9=12
Current State: 60:[72, 12], Operations: ['94-22=72', '21-9=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[94, 22, 21, 9], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [21, 9, 72]
Generated Node #0,0: 60:[21, 9, 72] Operation: 94-22=72
Exploring Operation: 94-9=85, Resulting Numbers: [22, 21, 85]
Generated Node #0,1: 60:[22, 21, 85] Operation: 94-9=85
Exploring Operation: 22-21=1, Resulting Numbers: [94, 9, 1]
Generated Node #0,2: 60:[94, 9, 1] Operation: 22-21=1
Exploring Operation: 22+9=31, Resulting Numbers: [94, 21, 31]
Generated Node #0,3: 60:[94, 21, 31] Operation: 22+9=31
Exploring Operation: 94-21=73, Resulting Numbers: [22, 9, 73]
Generated Node #0,4: 60:[22, 9, 73] Operation: 94-21=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[21, 9, 72], Operations: ['94-22=72']
Exploring Operation: 21+9=30, Resulting Numbers: [72, 30]
Generated Node #0,0,0: 60:[72, 30] Operation: 21+9=30
Exploring Operation: 72/9=8, Resulting Numbers: [21, 8]
Generated Node #0,0,1: 60:[21, 8] Operation: 72/9=8
Exploring Operation: 72-21=51, Resulting Numbers: [9, 51]
Generated Node #0,0,2: 60:[9, 51] Operation: 72-21=51
Exploring Operation: 72-9=63, Resulting Numbers: [21, 63]
Generated Node #0,0,3: 60:[21, 63] Operation: 72-9=63
Exploring Operation: 21-9=12, Resulting Numbers: [72, 12]
Generated Node #0,0,4: 60:[72, 12] Operation: 21-9=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[21, 8], Operations: ['94-22=72', '72/9=8']
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,60 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 60:[21, 63], Operations: ['94-22=72', '72-9=63']
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 21+63=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 21*63=1323, Resulting Numbers: [1323]
1323,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 60:[9, 51], Operations: ['94-22=72', '72-21=51']
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,60 unequal: No Solution
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[94, 22, 21, 9], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [21, 9, 72]
Generated Node #0,0: 60:[21, 9, 72] Operation: 94-22=72
Moving to Node #0,0
Current State: 60:[21, 9, 72], Operations: ['94-22=72']
Exploring Operation: 72-21=51, Resulting Numbers: [9, 51]
Generated Node #0,0,2: 60:[9, 51] Operation: 72-21=51
Moving to Node #0,0,2
Current State: 60:[9, 51], Operations: ['94-22=72', '72-21=51']
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
18,
48,
83,
21
] | 92 | [
"48-18=30",
"83-21=62",
"30+62=92"
] | Current State: 92:[18, 48, 83, 21], Operations: []
Exploring Operation: 48-18=30, Resulting Numbers: [83, 21, 30]
Generated Node #2: [83, 21, 30] from Operation: 48-18=30
Current State: 92:[83, 21, 30], Operations: ['48-18=30']
Exploring Operation: 83-21=62, Resulting Numbers: [30, 62]
Generated Node #3: [30, 62] from Operation: 83-21=62
Current State: 92:[30, 62], Operations: ['48-18=30', '83-21=62']
Exploring Operation: 30+62=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[18, 48, 83, 21], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [48, 83, 3]
Generated Node #0,0: 92:[48, 83, 3] Operation: 21-18=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[48, 83, 3], Operations: ['21-18=3']
Exploring Operation: 83+3=86, Resulting Numbers: [48, 86]
Generated Node #0,0,0: 92:[48, 86] Operation: 83+3=86
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[48, 86], Operations: ['21-18=3', '83+3=86']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
69,
33,
2,
90
] | 72 | [
"69-33=36",
"36/2=18",
"90-18=72"
] | Current State: 72:[69, 33, 2, 90], Operations: []
Exploring Operation: 69-33=36, Resulting Numbers: [2, 90, 36]
Generated Node #2: [2, 90, 36] from Operation: 69-33=36
Current State: 72:[2, 90, 36], Operations: ['69-33=36']
Exploring Operation: 36/2=18, Resulting Numbers: [90, 18]
Generated Node #3: [90, 18] from Operation: 36/2=18
Current State: 72:[90, 18], Operations: ['69-33=36', '36/2=18']
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[69, 33, 2, 90], Operations: []
Exploring Operation: 90-69=21, Resulting Numbers: [33, 2, 21]
Generated Node #0,0: 72:[33, 2, 21] Operation: 90-69=21
Exploring Operation: 69-33=36, Resulting Numbers: [2, 90, 36]
Generated Node #0,1: 72:[2, 90, 36] Operation: 69-33=36
Exploring Operation: 90/2=45, Resulting Numbers: [69, 33, 45]
Generated Node #0,2: 72:[69, 33, 45] Operation: 90/2=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[33, 2, 21], Operations: ['90-69=21']
Exploring Operation: 2+21=23, Resulting Numbers: [33, 23]
Generated Node #0,0,0: 72:[33, 23] Operation: 2+21=23
Exploring Operation: 33+2=35, Resulting Numbers: [21, 35]
Generated Node #0,0,1: 72:[21, 35] Operation: 33+2=35
Exploring Operation: 33-21=12, Resulting Numbers: [2, 12]
Generated Node #0,0,2: 72:[2, 12] Operation: 33-21=12
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 72:[2, 12], Operations: ['90-69=21', '33-21=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,72 unequal: No Solution
No 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: 72:[33, 23], Operations: ['90-69=21', '2+21=23']
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 33*23=759, Resulting Numbers: [759]
759,72 unequal: No Solution
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,72 unequal: No Solution
No 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: 72:[21, 35], Operations: ['90-69=21', '33+2=35']
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,72 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,72 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[69, 33, 45], Operations: ['90/2=45']
Exploring Operation: 45-33=12, Resulting Numbers: [69, 12]
Generated Node #0,2,0: 72:[69, 12] Operation: 45-33=12
Exploring Operation: 69-45=24, Resulting Numbers: [33, 24]
Generated Node #0,2,1: 72:[33, 24] Operation: 69-45=24
Exploring Operation: 69-33=36, Resulting Numbers: [45, 36]
Generated Node #0,2,2: 72:[45, 36] Operation: 69-33=36
Moving to Node #0,2,0
Current State: 72:[69, 12], Operations: ['90/2=45', '45-33=12']
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,72 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[33, 24], Operations: ['90/2=45', '69-45=24']
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,72 unequal: No Solution
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[45, 36], Operations: ['90/2=45', '69-33=36']
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,72 unequal: No Solution
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[2, 90, 36], Operations: ['69-33=36']
Exploring Operation: 2*36=72, Resulting Numbers: [90, 72]
Generated Node #0,1,0: 72:[90, 72] Operation: 2*36=72
Exploring Operation: 90-2=88, Resulting Numbers: [36, 88]
Generated Node #0,1,1: 72:[36, 88] Operation: 90-2=88
Exploring Operation: 90/2=45, Resulting Numbers: [36, 45]
Generated Node #0,1,2: 72:[36, 45] Operation: 90/2=45
Moving to Node #0,1,2
Current State: 72:[36, 45], Operations: ['69-33=36', '90/2=45']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[36, 88], Operations: ['69-33=36', '90-2=88']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,72 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,72 unequal: No Solution
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[90, 72], Operations: ['69-33=36', '2*36=72']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 90*72=6480, Resulting Numbers: [6480]
6480,72 unequal: No Solution
Exploring Operation: 90+72=162, Resulting Numbers: [162]
162,72 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 |
[
19,
44,
2,
14
] | 84 | [
"19*2=38",
"44-38=6",
"14*6=84"
] | Current State: 84:[19, 44, 2, 14], Operations: []
Exploring Operation: 19*2=38, Resulting Numbers: [44, 14, 38]
Generated Node #2: [44, 14, 38] from Operation: 19*2=38
Current State: 84:[44, 14, 38], Operations: ['19*2=38']
Exploring Operation: 44-38=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 44-38=6
Current State: 84:[14, 6], Operations: ['19*2=38', '44-38=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[19, 44, 2, 14], Operations: []
Exploring Operation: 19+2=21, Resulting Numbers: [44, 14, 21]
Generated Node #0,0: 84:[44, 14, 21] Operation: 19+2=21
Exploring Operation: 44-2=42, Resulting Numbers: [19, 14, 42]
Generated Node #0,1: 84:[19, 14, 42] Operation: 44-2=42
Moving to Node #0,0
Current State: 84:[44, 14, 21], Operations: ['19+2=21']
Exploring Operation: 44-21=23, Resulting Numbers: [14, 23]
Generated Node #0,0,0: 84:[14, 23] Operation: 44-21=23
Exploring Operation: 44-14=30, Resulting Numbers: [21, 30]
Generated Node #0,0,1: 84:[21, 30] Operation: 44-14=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[14, 23], Operations: ['19+2=21', '44-21=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[21, 30], Operations: ['19+2=21', '44-14=30']
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,84 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: 84:[19, 14, 42], Operations: ['44-2=42']
Exploring Operation: 19-14=5, Resulting Numbers: [42, 5]
Generated Node #0,1,0: 84:[42, 5] Operation: 19-14=5
Exploring Operation: 42-19=23, Resulting Numbers: [14, 23]
Generated Node #0,1,1: 84:[14, 23] Operation: 42-19=23
Moving to Node #0,1,0
Current State: 84:[42, 5], Operations: ['44-2=42', '19-14=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[14, 23], Operations: ['44-2=42', '42-19=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,84 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
98,
19,
8,
9
] | 18 | [
"19-9=10",
"8*10=80",
"98-80=18"
] | Current State: 18:[98, 19, 8, 9], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [98, 8, 10]
Generated Node #2: [98, 8, 10] from Operation: 19-9=10
Current State: 18:[98, 8, 10], Operations: ['19-9=10']
Exploring Operation: 8*10=80, Resulting Numbers: [98, 80]
Generated Node #3: [98, 80] from Operation: 8*10=80
Current State: 18:[98, 80], Operations: ['19-9=10', '8*10=80']
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[98, 19, 8, 9], Operations: []
Exploring Operation: 19-8=11, Resulting Numbers: [98, 9, 11]
Generated Node #0,0: 18:[98, 9, 11] Operation: 19-8=11
Exploring Operation: 98-9=89, Resulting Numbers: [19, 8, 89]
Generated Node #0,1: 18:[19, 8, 89] Operation: 98-9=89
Exploring Operation: 98-8=90, Resulting Numbers: [19, 9, 90]
Generated Node #0,2: 18:[19, 9, 90] Operation: 98-8=90
Exploring Operation: 98-19=79, Resulting Numbers: [8, 9, 79]
Generated Node #0,3: 18:[8, 9, 79] Operation: 98-19=79
Exploring Operation: 19-9=10, Resulting Numbers: [98, 8, 10]
Generated Node #0,4: 18:[98, 8, 10] Operation: 19-9=10
Start Sub Search at level 1: Moving to Node #0,3
Current State: 18:[8, 9, 79], Operations: ['98-19=79']
Exploring Operation: 79-8=71, Resulting Numbers: [9, 71]
Generated Node #0,3,0: 18:[9, 71] Operation: 79-8=71
Exploring Operation: 8+9=17, Resulting Numbers: [79, 17]
Generated Node #0,3,1: 18:[79, 17] Operation: 8+9=17
Exploring Operation: 9-8=1, Resulting Numbers: [79, 1]
Generated Node #0,3,2: 18:[79, 1] Operation: 9-8=1
Exploring Operation: 8+79=87, Resulting Numbers: [9, 87]
Generated Node #0,3,3: 18:[9, 87] Operation: 8+79=87
Exploring Operation: 79-9=70, Resulting Numbers: [8, 70]
Generated Node #0,3,4: 18:[8, 70] Operation: 79-9=70
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 18:[9, 71], Operations: ['98-19=79', '79-8=71']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 9*71=639, Resulting Numbers: [639]
639,18 unequal: No Solution
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 18:[8, 70], Operations: ['98-19=79', '79-9=70']
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,18 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,18 unequal: No Solution
No 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: 18:[79, 17], Operations: ['98-19=79', '8+9=17']
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,18 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,18 unequal: No Solution
No 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: 18:[79, 1], Operations: ['98-19=79', '9-8=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,18 unequal: No Solution
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,18 unequal: No Solution
No 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: 18:[9, 87], Operations: ['98-19=79', '8+79=87']
Exploring Operation: 9+87=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Exploring Operation: 9*87=783, Resulting Numbers: [783]
783,18 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,18 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: 18:[19, 8, 89], Operations: ['98-9=89']
Exploring Operation: 19-8=11, Resulting Numbers: [89, 11]
Generated Node #0,1,0: 18:[89, 11] Operation: 19-8=11
Exploring Operation: 19+8=27, Resulting Numbers: [89, 27]
Generated Node #0,1,1: 18:[89, 27] Operation: 19+8=27
Exploring Operation: 89-19=70, Resulting Numbers: [8, 70]
Generated Node #0,1,2: 18:[8, 70] Operation: 89-19=70
Exploring Operation: 89-8=81, Resulting Numbers: [19, 81]
Generated Node #0,1,3: 18:[19, 81] Operation: 89-8=81
Exploring Operation: 8+89=97, Resulting Numbers: [19, 97]
Generated Node #0,1,4: 18:[19, 97] Operation: 8+89=97
Moving to Node #0,1,2
Current State: 18:[8, 70], Operations: ['98-9=89', '89-19=70']
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,18 unequal: No Solution
Moving to Node #0,1,3
Current State: 18:[19, 81], Operations: ['98-9=89', '89-8=81']
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Exploring Operation: 19*81=1539, Resulting Numbers: [1539]
1539,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[89, 11], Operations: ['98-9=89', '19-8=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[89, 27], Operations: ['98-9=89', '19+8=27']
Exploring Operation: 89+27=116, Resulting Numbers: [116]
116,18 unequal: No Solution
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 89*27=2403, Resulting Numbers: [2403]
2403,18 unequal: No Solution
Moving to Node #0,1,4
Current State: 18:[19, 97], Operations: ['98-9=89', '8+89=97']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 19*97=1843, Resulting Numbers: [1843]
1843,18 unequal: No Solution
Exploring Operation: 19+97=116, Resulting Numbers: [116]
116,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[19, 9, 90], Operations: ['98-8=90']
Exploring Operation: 90-9=81, Resulting Numbers: [19, 81]
Generated Node #0,2,0: 18:[19, 81] Operation: 90-9=81
Exploring Operation: 19-9=10, Resulting Numbers: [90, 10]
Generated Node #0,2,1: 18:[90, 10] Operation: 19-9=10
Exploring Operation: 19+9=28, Resulting Numbers: [90, 28]
Generated Node #0,2,2: 18:[90, 28] Operation: 19+9=28
Exploring Operation: 90/9=10, Resulting Numbers: [19, 10]
Generated Node #0,2,3: 18:[19, 10] Operation: 90/9=10
Exploring Operation: 90-19=71, Resulting Numbers: [9, 71]
Generated Node #0,2,4: 18:[9, 71] Operation: 90-19=71
Moving to Node #0,2,3
Current State: 18:[19, 10], Operations: ['98-8=90', '90/9=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,18 unequal: No Solution
Moving to Node #0,2,4
Current State: 18:[9, 71], Operations: ['98-8=90', '90-19=71']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 9*71=639, Resulting Numbers: [639]
639,18 unequal: No Solution
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,18 unequal: No Solution
Moving to Node #0,2,0
Current State: 18:[19, 81], Operations: ['98-8=90', '90-9=81']
Exploring Operation: 19*81=1539, Resulting Numbers: [1539]
1539,18 unequal: No Solution
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Moving to Node #0,2,1
Current State: 18:[90, 10], Operations: ['98-8=90', '19-9=10']
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,18 unequal: No Solution
Exploring Operation: 90*10=900, Resulting Numbers: [900]
900,18 unequal: No Solution
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 90+10=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[90, 28], Operations: ['98-8=90', '19+9=28']
Exploring Operation: 90-28=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 90*28=2520, Resulting Numbers: [2520]
2520,18 unequal: No Solution
Exploring Operation: 90+28=118, Resulting Numbers: [118]
118,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[98, 9, 11], Operations: ['19-8=11']
Exploring Operation: 9+11=20, Resulting Numbers: [98, 20]
Generated Node #0,0,0: 18:[98, 20] Operation: 9+11=20
Exploring Operation: 98-9=89, Resulting Numbers: [11, 89]
Generated Node #0,0,1: 18:[11, 89] Operation: 98-9=89
Exploring Operation: 11-9=2, Resulting Numbers: [98, 2]
Generated Node #0,0,2: 18:[98, 2] Operation: 11-9=2
Exploring Operation: 98-11=87, Resulting Numbers: [9, 87]
Generated Node #0,0,3: 18:[9, 87] Operation: 98-11=87
Exploring Operation: 98+9=107, Resulting Numbers: [11, 107]
Generated Node #0,0,4: 18:[11, 107] Operation: 98+9=107
Moving to Node #0,0,3
Current State: 18:[9, 87], Operations: ['19-8=11', '98-11=87']
Exploring Operation: 9*87=783, Resulting Numbers: [783]
783,18 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 9+87=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[11, 89], Operations: ['19-8=11', '98-9=89']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 11*89=979, Resulting Numbers: [979]
979,18 unequal: No Solution
Exploring Operation: 11+89=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[98, 2], Operations: ['19-8=11', '11-9=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,18 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[98, 20], Operations: ['19-8=11', '9+11=20']
Exploring Operation: 98*20=1960, Resulting Numbers: [1960]
1960,18 unequal: No Solution
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 98+20=118, Resulting Numbers: [118]
118,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[11, 107], Operations: ['19-8=11', '98+9=107']
Exploring Operation: 107-11=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Exploring Operation: 11+107=118, Resulting Numbers: [118]
118,18 unequal: No Solution
Exploring Operation: 11*107=1177, Resulting Numbers: [1177]
1177,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 18:[98, 8, 10], Operations: ['19-9=10']
Exploring Operation: 8+10=18, Resulting Numbers: [98, 18]
Generated Node #0,4,0: 18:[98, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [98, 2]
Generated Node #0,4,1: 18:[98, 2] Operation: 10-8=2
Exploring Operation: 98-8=90, Resulting Numbers: [10, 90]
Generated Node #0,4,2: 18:[10, 90] Operation: 98-8=90
Exploring Operation: 98+8=106, Resulting Numbers: [10, 106]
Generated Node #0,4,3: 18:[10, 106] Operation: 98+8=106
Exploring Operation: 98-10=88, Resulting Numbers: [8, 88]
Generated Node #0,4,4: 18:[8, 88] Operation: 98-10=88
Moving to Node #0,4,4
Current State: 18:[8, 88], Operations: ['19-9=10', '98-10=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,18 unequal: No Solution
Exploring Operation: 8*88=704, Resulting Numbers: [704]
704,18 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,18 unequal: No Solution
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Moving to Node #0,4,2
Current State: 18:[10, 90], Operations: ['19-9=10', '98-8=90']
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 10*90=900, Resulting Numbers: [900]
900,18 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,18 unequal: No Solution
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Moving to Node #0,4,0
Current State: 18:[98, 18], Operations: ['19-9=10', '8+10=18']
Exploring Operation: 98+18=116, Resulting Numbers: [116]
116,18 unequal: No Solution
Exploring Operation: 98-18=80, Resulting Numbers: [80]
80,18 unequal: No Solution
Exploring Operation: 98*18=1764, Resulting Numbers: [1764]
1764,18 unequal: No Solution
Moving to Node #0,4,1
Current State: 18:[98, 2], Operations: ['19-9=10', '10-8=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,18 unequal: No Solution
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Moving to Node #0,4,3
Current State: 18:[10, 106], Operations: ['19-9=10', '98+8=106']
Exploring Operation: 106-10=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Exploring Operation: 10*106=1060, Resulting Numbers: [1060]
1060,18 unequal: No Solution
Exploring Operation: 10+106=116, Resulting Numbers: [116]
116,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
31,
48,
37,
54
] | 96 | [
"31+48=79",
"54-37=17",
"79+17=96"
] | Current State: 96:[31, 48, 37, 54], Operations: []
Exploring Operation: 31+48=79, Resulting Numbers: [37, 54, 79]
Generated Node #2: [37, 54, 79] from Operation: 31+48=79
Current State: 96:[37, 54, 79], Operations: ['31+48=79']
Exploring Operation: 54-37=17, Resulting Numbers: [79, 17]
Generated Node #3: [79, 17] from Operation: 54-37=17
Current State: 96:[79, 17], Operations: ['31+48=79', '54-37=17']
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[31, 48, 37, 54], Operations: []
Exploring Operation: 54-37=17, Resulting Numbers: [31, 48, 17]
Generated Node #0,0: 96:[31, 48, 17] Operation: 54-37=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[31, 48, 17], Operations: ['54-37=17']
Exploring Operation: 31+17=48, Resulting Numbers: [48, 48]
Generated Node #0,0,0: 96:[48, 48] Operation: 31+17=48
Moving to Node #0,0,0
Current State: 96:[48, 48], Operations: ['54-37=17', '31+17=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[31, 48, 37, 54], Operations: []
Exploring Operation: 54-37=17, Resulting Numbers: [31, 48, 17]
Generated Node #0,0: 96:[31, 48, 17] Operation: 54-37=17
Moving to Node #0,0
Current State: 96:[31, 48, 17], Operations: ['54-37=17']
Exploring Operation: 31+17=48, Resulting Numbers: [48, 48]
Generated Node #0,0,0: 96:[48, 48] Operation: 31+17=48
Moving to Node #0,0,0
Current State: 96:[48, 48], Operations: ['54-37=17', '31+17=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
45,
78,
35,
2
] | 53 | [
"45+78=123",
"35*2=70",
"123-70=53"
] | Current State: 53:[45, 78, 35, 2], Operations: []
Exploring Operation: 45+78=123, Resulting Numbers: [35, 2, 123]
Generated Node #2: [35, 2, 123] from Operation: 45+78=123
Current State: 53:[35, 2, 123], Operations: ['45+78=123']
Exploring Operation: 35*2=70, Resulting Numbers: [123, 70]
Generated Node #3: [123, 70] from Operation: 35*2=70
Current State: 53:[123, 70], Operations: ['45+78=123', '35*2=70']
Exploring Operation: 123-70=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[45, 78, 35, 2], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [45, 35, 39]
Generated Node #0,0: 53:[45, 35, 39] Operation: 78/2=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[45, 35, 39], Operations: ['78/2=39']
Exploring Operation: 35+39=74, Resulting Numbers: [45, 74]
Generated Node #0,0,0: 53:[45, 74] Operation: 35+39=74
Moving to Node #0,0,0
Current State: 53:[45, 74], Operations: ['78/2=39', '35+39=74']
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
51,
79,
40,
81
] | 62 | [
"81-79=2",
"51*2=102",
"102-40=62"
] | Current State: 62:[51, 79, 40, 81], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [51, 40, 2]
Generated Node #2: [51, 40, 2] from Operation: 81-79=2
Current State: 62:[51, 40, 2], Operations: ['81-79=2']
Exploring Operation: 51*2=102, Resulting Numbers: [40, 102]
Generated Node #3: [40, 102] from Operation: 51*2=102
Current State: 62:[40, 102], Operations: ['81-79=2', '51*2=102']
Exploring Operation: 102-40=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[51, 79, 40, 81], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [40, 81, 28]
Generated Node #0,0: 62:[40, 81, 28] Operation: 79-51=28
Exploring Operation: 81-79=2, Resulting Numbers: [51, 40, 2]
Generated Node #0,1: 62:[51, 40, 2] Operation: 81-79=2
Exploring Operation: 81-51=30, Resulting Numbers: [79, 40, 30]
Generated Node #0,2: 62:[79, 40, 30] Operation: 81-51=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[51, 40, 2], Operations: ['81-79=2']
Exploring Operation: 51-40=11, Resulting Numbers: [2, 11]
Generated Node #0,1,0: 62:[2, 11] Operation: 51-40=11
Exploring Operation: 40-2=38, Resulting Numbers: [51, 38]
Generated Node #0,1,1: 62:[51, 38] Operation: 40-2=38
Exploring Operation: 51+2=53, Resulting Numbers: [40, 53]
Generated Node #0,1,2: 62:[40, 53] Operation: 51+2=53
Moving to Node #0,1,0
Current State: 62:[2, 11], Operations: ['81-79=2', '51-40=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[51, 38], Operations: ['81-79=2', '40-2=38']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,62 unequal: No Solution
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[40, 53], Operations: ['81-79=2', '51+2=53']
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,62 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[79, 40, 30], Operations: ['81-51=30']
Exploring Operation: 79-30=49, Resulting Numbers: [40, 49]
Generated Node #0,2,0: 62:[40, 49] Operation: 79-30=49
Exploring Operation: 40+30=70, Resulting Numbers: [79, 70]
Generated Node #0,2,1: 62:[79, 70] Operation: 40+30=70
Exploring Operation: 79-40=39, Resulting Numbers: [30, 39]
Generated Node #0,2,2: 62:[30, 39] Operation: 79-40=39
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[30, 39], Operations: ['81-51=30', '79-40=39']
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 30+39=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 30*39=1170, Resulting Numbers: [1170]
1170,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[40, 49], Operations: ['81-51=30', '79-30=49']
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,62 unequal: No Solution
Exploring Operation: 40*49=1960, Resulting Numbers: [1960]
1960,62 unequal: No Solution
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 62:[79, 70], Operations: ['81-51=30', '40+30=70']
Exploring Operation: 79+70=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,62 unequal: No Solution
Exploring Operation: 79*70=5530, Resulting Numbers: [5530]
5530,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[40, 81, 28], Operations: ['79-51=28']
Exploring Operation: 81-40=41, Resulting Numbers: [28, 41]
Generated Node #0,0,0: 62:[28, 41] Operation: 81-40=41
Exploring Operation: 40+28=68, Resulting Numbers: [81, 68]
Generated Node #0,0,1: 62:[81, 68] Operation: 40+28=68
Exploring Operation: 81-28=53, Resulting Numbers: [40, 53]
Generated Node #0,0,2: 62:[40, 53] Operation: 81-28=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[28, 41], Operations: ['79-51=28', '81-40=41']
Exploring Operation: 41-28=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 28+41=69, Resulting Numbers: [69]
69,62 unequal: No Solution
Exploring Operation: 28*41=1148, Resulting Numbers: [1148]
1148,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[40, 53], Operations: ['79-51=28', '81-28=53']
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,62 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[81, 68], Operations: ['79-51=28', '40+28=68']
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 81+68=149, Resulting Numbers: [149]
149,62 unequal: No Solution
Exploring Operation: 81*68=5508, Resulting Numbers: [5508]
5508,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
3,
11,
79,
10
] | 56 | [
"3*11=33",
"79+10=89",
"89-33=56"
] | Current State: 56:[3, 11, 79, 10], Operations: []
Exploring Operation: 3*11=33, Resulting Numbers: [79, 10, 33]
Generated Node #2: [79, 10, 33] from Operation: 3*11=33
Current State: 56:[79, 10, 33], Operations: ['3*11=33']
Exploring Operation: 79+10=89, Resulting Numbers: [33, 89]
Generated Node #3: [33, 89] from Operation: 79+10=89
Current State: 56:[33, 89], Operations: ['3*11=33', '79+10=89']
Exploring Operation: 89-33=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[3, 11, 79, 10], Operations: []
Exploring Operation: 79-11=68, Resulting Numbers: [3, 10, 68]
Generated Node #0,0: 56:[3, 10, 68] Operation: 79-11=68
Exploring Operation: 79-10=69, Resulting Numbers: [3, 11, 69]
Generated Node #0,1: 56:[3, 11, 69] Operation: 79-10=69
Moving to Node #0,0
Current State: 56:[3, 10, 68], Operations: ['79-11=68']
Exploring Operation: 68-10=58, Resulting Numbers: [3, 58]
Generated Node #0,0,0: 56:[3, 58] Operation: 68-10=58
Exploring Operation: 68-3=65, Resulting Numbers: [10, 65]
Generated Node #0,0,1: 56:[10, 65] Operation: 68-3=65
Moving to Node #0,1
Current State: 56:[3, 11, 69], Operations: ['79-10=69']
Exploring Operation: 69-11=58, Resulting Numbers: [3, 58]
Generated Node #0,1,0: 56:[3, 58] Operation: 69-11=58
Exploring Operation: 69/3=23, Resulting Numbers: [11, 23]
Generated Node #0,1,1: 56:[11, 23] Operation: 69/3=23
Moving to Node #0,0,0
Current State: 56:[3, 58], Operations: ['79-11=68', '68-10=58']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[3, 58], Operations: ['79-10=69', '69-11=58']
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[11, 23], Operations: ['79-10=69', '69/3=23']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[10, 65], Operations: ['79-11=68', '68-3=65']
Exploring Operation: 10+65=75, Resulting Numbers: [75]
75,56 unequal: No Solution
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,56 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
22,
57,
21,
82
] | 26 | [
"57-22=35",
"82-21=61",
"61-35=26"
] | Current State: 26:[22, 57, 21, 82], Operations: []
Exploring Operation: 57-22=35, Resulting Numbers: [21, 82, 35]
Generated Node #2: [21, 82, 35] from Operation: 57-22=35
Current State: 26:[21, 82, 35], Operations: ['57-22=35']
Exploring Operation: 82-21=61, Resulting Numbers: [35, 61]
Generated Node #3: [35, 61] from Operation: 82-21=61
Current State: 26:[35, 61], Operations: ['57-22=35', '82-21=61']
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[22, 57, 21, 82], Operations: []
Exploring Operation: 82-22=60, Resulting Numbers: [57, 21, 60]
Generated Node #0,0: 26:[57, 21, 60] Operation: 82-22=60
Exploring Operation: 57-22=35, Resulting Numbers: [21, 82, 35]
Generated Node #0,1: 26:[21, 82, 35] Operation: 57-22=35
Exploring Operation: 57-21=36, Resulting Numbers: [22, 82, 36]
Generated Node #0,2: 26:[22, 82, 36] Operation: 57-21=36
Exploring Operation: 82-57=25, Resulting Numbers: [22, 21, 25]
Generated Node #0,3: 26:[22, 21, 25] Operation: 82-57=25
Exploring Operation: 82-21=61, Resulting Numbers: [22, 57, 61]
Generated Node #0,4: 26:[22, 57, 61] Operation: 82-21=61
Moving to Node #0,3
Current State: 26:[22, 21, 25], Operations: ['82-57=25']
Exploring Operation: 25-21=4, Resulting Numbers: [22, 4]
Generated Node #0,3,0: 26:[22, 4] Operation: 25-21=4
Exploring Operation: 22+21=43, Resulting Numbers: [25, 43]
Generated Node #0,3,1: 26:[25, 43] Operation: 22+21=43
Exploring Operation: 21+25=46, Resulting Numbers: [22, 46]
Generated Node #0,3,2: 26:[22, 46] Operation: 21+25=46
Exploring Operation: 22-21=1, Resulting Numbers: [25, 1]
Generated Node #0,3,3: 26:[25, 1] Operation: 22-21=1
Exploring Operation: 25-22=3, Resulting Numbers: [21, 3]
Generated Node #0,3,4: 26:[21, 3] Operation: 25-22=3
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 26:[25, 1], Operations: ['82-57=25', '22-21=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[22, 57, 21, 82], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [22, 21, 25]
Generated Node #0,3: 26:[22, 21, 25] Operation: 82-57=25
Moving to Node #0,3
Current State: 26:[22, 21, 25], Operations: ['82-57=25']
Exploring Operation: 22-21=1, Resulting Numbers: [25, 1]
Generated Node #0,3,3: 26:[25, 1] Operation: 22-21=1
Moving to Node #0,3,3
Current State: 26:[25, 1], Operations: ['82-57=25', '22-21=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
3,
48,
64,
50
] | 70 | [
"50-48=2",
"3*2=6",
"64+6=70"
] | Current State: 70:[3, 48, 64, 50], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [3, 64, 2]
Generated Node #2: [3, 64, 2] from Operation: 50-48=2
Current State: 70:[3, 64, 2], Operations: ['50-48=2']
Exploring Operation: 3*2=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 3*2=6
Current State: 70:[64, 6], Operations: ['50-48=2', '3*2=6']
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[3, 48, 64, 50], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [64, 50, 16]
Generated Node #0,0: 70:[64, 50, 16] Operation: 48/3=16
Exploring Operation: 50-48=2, Resulting Numbers: [3, 64, 2]
Generated Node #0,1: 70:[3, 64, 2] Operation: 50-48=2
Exploring Operation: 64-50=14, Resulting Numbers: [3, 48, 14]
Generated Node #0,2: 70:[3, 48, 14] Operation: 64-50=14
Exploring Operation: 64-48=16, Resulting Numbers: [3, 50, 16]
Generated Node #0,3: 70:[3, 50, 16] Operation: 64-48=16
Moving to Node #0,1
Current State: 70:[3, 64, 2], Operations: ['50-48=2']
Exploring Operation: 64/2=32, Resulting Numbers: [3, 32]
Generated Node #0,1,0: 70:[3, 32] Operation: 64/2=32
Exploring Operation: 3+2=5, Resulting Numbers: [64, 5]
Generated Node #0,1,1: 70:[64, 5] Operation: 3+2=5
Exploring Operation: 64+2=66, Resulting Numbers: [3, 66]
Generated Node #0,1,2: 70:[3, 66] Operation: 64+2=66
Exploring Operation: 3+64=67, Resulting Numbers: [2, 67]
Generated Node #0,1,3: 70:[2, 67] Operation: 3+64=67
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 70:[2, 67], Operations: ['50-48=2', '3+64=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,70 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,70 unequal: No Solution
No 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: 70:[3, 32], Operations: ['50-48=2', '64/2=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,70 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,70 unequal: No Solution
No 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: 70:[3, 66], Operations: ['50-48=2', '64+2=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 3*66=198, Resulting Numbers: [198]
198,70 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,70 unequal: No Solution
No 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: 70:[64, 5], Operations: ['50-48=2', '3+2=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,70 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: 70:[3, 48, 14], Operations: ['64-50=14']
Exploring Operation: 48-14=34, Resulting Numbers: [3, 34]
Generated Node #0,2,0: 70:[3, 34] Operation: 48-14=34
Exploring Operation: 48+14=62, Resulting Numbers: [3, 62]
Generated Node #0,2,1: 70:[3, 62] Operation: 48+14=62
Exploring Operation: 48/3=16, Resulting Numbers: [14, 16]
Generated Node #0,2,2: 70:[14, 16] Operation: 48/3=16
Exploring Operation: 48-3=45, Resulting Numbers: [14, 45]
Generated Node #0,2,3: 70:[14, 45] Operation: 48-3=45
Moving to Node #0,3
Current State: 70:[3, 50, 16], Operations: ['64-48=16']
Exploring Operation: 16-3=13, Resulting Numbers: [50, 13]
Generated Node #0,3,0: 70:[50, 13] Operation: 16-3=13
Exploring Operation: 50-3=47, Resulting Numbers: [16, 47]
Generated Node #0,3,1: 70:[16, 47] Operation: 50-3=47
Exploring Operation: 50+16=66, Resulting Numbers: [3, 66]
Generated Node #0,3,2: 70:[3, 66] Operation: 50+16=66
Exploring Operation: 50-16=34, Resulting Numbers: [3, 34]
Generated Node #0,3,3: 70:[3, 34] Operation: 50-16=34
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[3, 34], Operations: ['64-48=16', '50-16=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,70 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,70 unequal: No Solution
No 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: 70:[3, 66], Operations: ['64-48=16', '50+16=66']
Exploring Operation: 3*66=198, Resulting Numbers: [198]
198,70 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,70 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,70 unequal: No Solution
No 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: 70:[16, 47], Operations: ['64-48=16', '50-3=47']
Exploring Operation: 16*47=752, Resulting Numbers: [752]
752,70 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,70 unequal: No Solution
No 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: 70:[50, 13], Operations: ['64-48=16', '16-3=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,70 unequal: No Solution
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,70 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: 70:[64, 50, 16], Operations: ['48/3=16']
Exploring Operation: 50+16=66, Resulting Numbers: [64, 66]
Generated Node #0,0,0: 70:[64, 66] Operation: 50+16=66
Exploring Operation: 64-50=14, Resulting Numbers: [16, 14]
Generated Node #0,0,1: 70:[16, 14] Operation: 64-50=14
Exploring Operation: 50-16=34, Resulting Numbers: [64, 34]
Generated Node #0,0,2: 70:[64, 34] Operation: 50-16=34
Exploring Operation: 64/16=4, Resulting Numbers: [50, 4]
Generated Node #0,0,3: 70:[50, 4] Operation: 64/16=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[16, 14], Operations: ['48/3=16', '64-50=14']
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 16*14=224, Resulting Numbers: [224]
224,70 unequal: No Solution
No 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: 70:[64, 34], Operations: ['48/3=16', '50-16=34']
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 64*34=2176, Resulting Numbers: [2176]
2176,70 unequal: No Solution
Exploring Operation: 64+34=98, Resulting Numbers: [98]
98,70 unequal: No Solution
No 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: 70:[64, 66], Operations: ['48/3=16', '50+16=66']
Exploring Operation: 64*66=4224, Resulting Numbers: [4224]
4224,70 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 64+66=130, Resulting Numbers: [130]
130,70 unequal: No Solution
No 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: 70:[50, 4], Operations: ['48/3=16', '64/16=4']
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,70 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 50*4=200, Resulting Numbers: [200]
200,70 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: 70:[3, 34], Operations: ['64-50=14', '48-14=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,70 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[14, 16], Operations: ['64-50=14', '48/3=16']
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,70 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[3, 62], Operations: ['64-50=14', '48+14=62']
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,70 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,70 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Moving to Node #0,2,3
Current State: 70:[14, 45], Operations: ['64-50=14', '48-3=45']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,70 unequal: No Solution
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,70 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,70 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
36,
36,
94,
38
] | 90 | [
"36*94=3384",
"36+3384=3420",
"3420/38=90"
] | Current State: 90:[36, 36, 94, 38], Operations: []
Exploring Operation: 36*94=3384, Resulting Numbers: [38, 3384]
Generated Node #2: [38, 3384] from Operation: 36*94=3384
Current State: 90:[38, 3384], Operations: ['36*94=3384']
Exploring Operation: 36+3384=3420, Resulting Numbers: [38, 3420]
Generated Node #3: [38, 3420] from Operation: 36+3384=3420
Current State: 90:[38, 3420], Operations: ['36*94=3384', '36+3384=3420']
Exploring Operation: 3420/38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[36, 36, 94, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [36, 94, 2]
Generated Node #0,0: 90:[36, 94, 2] Operation: 38-36=2
Exploring Operation: 38-36=2, Resulting Numbers: [36, 94, 2]
Generated Node #0,1: 90:[36, 94, 2] Operation: 38-36=2
Moving to Node #0,0
Current State: 90:[36, 94, 2], Operations: ['38-36=2']
Exploring Operation: 36/2=18, Resulting Numbers: [94, 18]
Generated Node #0,0,0: 90:[94, 18] Operation: 36/2=18
Exploring Operation: 36-2=34, Resulting Numbers: [94, 34]
Generated Node #0,0,1: 90:[94, 34] Operation: 36-2=34
Moving to Node #0,1
Current State: 90:[36, 94, 2], Operations: ['38-36=2']
Exploring Operation: 36/2=18, Resulting Numbers: [94, 18]
Generated Node #0,1,0: 90:[94, 18] Operation: 36/2=18
Exploring Operation: 36-2=34, Resulting Numbers: [94, 34]
Generated Node #0,1,1: 90:[94, 34] Operation: 36-2=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[94, 18], Operations: ['38-36=2', '36/2=18']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,90 unequal: No Solution
Exploring Operation: 94+18=112, Resulting Numbers: [112]
112,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[94, 34], Operations: ['38-36=2', '36-2=34']
Exploring Operation: 94-34=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Exploring Operation: 94+34=128, Resulting Numbers: [128]
128,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 90:[94, 18], Operations: ['38-36=2', '36/2=18']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,90 unequal: No Solution
Exploring Operation: 94+18=112, Resulting Numbers: [112]
112,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[94, 34], Operations: ['38-36=2', '36-2=34']
Exploring Operation: 94-34=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Exploring Operation: 94+34=128, Resulting Numbers: [128]
128,90 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
29,
51,
49,
21
] | 92 | [
"51-29=22",
"49+21=70",
"22+70=92"
] | Current State: 92:[29, 51, 49, 21], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [49, 21, 22]
Generated Node #2: [49, 21, 22] from Operation: 51-29=22
Current State: 92:[49, 21, 22], Operations: ['51-29=22']
Exploring Operation: 49+21=70, Resulting Numbers: [22, 70]
Generated Node #3: [22, 70] from Operation: 49+21=70
Current State: 92:[22, 70], Operations: ['51-29=22', '49+21=70']
Exploring Operation: 22+70=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[29, 51, 49, 21], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [49, 21, 22]
Generated Node #0,0: 92:[49, 21, 22] Operation: 51-29=22
Exploring Operation: 49-29=20, Resulting Numbers: [51, 21, 20]
Generated Node #0,1: 92:[51, 21, 20] Operation: 49-29=20
Exploring Operation: 51-49=2, Resulting Numbers: [29, 21, 2]
Generated Node #0,2: 92:[29, 21, 2] Operation: 51-49=2
Moving to Node #0,0
Current State: 92:[49, 21, 22], Operations: ['51-29=22']
Exploring Operation: 49-22=27, Resulting Numbers: [21, 27]
Generated Node #0,0,0: 92:[21, 27] Operation: 49-22=27
Exploring Operation: 22-21=1, Resulting Numbers: [49, 1]
Generated Node #0,0,1: 92:[49, 1] Operation: 22-21=1
Exploring Operation: 49-21=28, Resulting Numbers: [22, 28]
Generated Node #0,0,2: 92:[22, 28] Operation: 49-21=28
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[49, 1], Operations: ['51-29=22', '22-21=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,92 unequal: No Solution
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,92 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,92 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 #0,0,0
Current State: 92:[21, 27], Operations: ['51-29=22', '49-22=27']
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,92 unequal: No Solution
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,92 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 #0,0,2
Current State: 92:[22, 28], Operations: ['51-29=22', '49-21=28']
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,92 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,92 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: 92:[29, 21, 2], Operations: ['51-49=2']
Exploring Operation: 29+21=50, Resulting Numbers: [2, 50]
Generated Node #0,2,0: 92:[2, 50] Operation: 29+21=50
Exploring Operation: 29-2=27, Resulting Numbers: [21, 27]
Generated Node #0,2,1: 92:[21, 27] Operation: 29-2=27
Exploring Operation: 29-21=8, Resulting Numbers: [2, 8]
Generated Node #0,2,2: 92:[2, 8] Operation: 29-21=8
Moving to Node #0,1
Current State: 92:[51, 21, 20], Operations: ['49-29=20']
Exploring Operation: 21-20=1, Resulting Numbers: [51, 1]
Generated Node #0,1,0: 92:[51, 1] Operation: 21-20=1
Exploring Operation: 51-20=31, Resulting Numbers: [21, 31]
Generated Node #0,1,1: 92:[21, 31] Operation: 51-20=31
Exploring Operation: 51-21=30, Resulting Numbers: [20, 30]
Generated Node #0,1,2: 92:[20, 30] Operation: 51-21=30
Moving to Node #0,2,0
Current State: 92:[2, 50], Operations: ['51-49=2', '29+21=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[2, 8], Operations: ['51-49=2', '29-21=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[21, 27], Operations: ['51-49=2', '29-2=27']
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[51, 1], Operations: ['49-29=20', '21-20=1']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[20, 30], Operations: ['49-29=20', '51-21=30']
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,92 unequal: No Solution
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,92 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[21, 31], Operations: ['49-29=20', '51-20=31']
Exploring Operation: 21*31=651, Resulting Numbers: [651]
651,92 unequal: No Solution
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 21+31=52, Resulting Numbers: [52]
52,92 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
88,
6,
12,
66
] | 22 | [
"88*6=528",
"528/12=44",
"66-44=22"
] | Current State: 22:[88, 6, 12, 66], Operations: []
Exploring Operation: 88*6=528, Resulting Numbers: [12, 66, 528]
Generated Node #2: [12, 66, 528] from Operation: 88*6=528
Current State: 22:[12, 66, 528], Operations: ['88*6=528']
Exploring Operation: 528/12=44, Resulting Numbers: [66, 44]
Generated Node #3: [66, 44] from Operation: 528/12=44
Current State: 22:[66, 44], Operations: ['88*6=528', '528/12=44']
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[88, 6, 12, 66], Operations: []
Exploring Operation: 88-66=22, Resulting Numbers: [6, 12, 22]
Generated Node #0,0: 22:[6, 12, 22] Operation: 88-66=22
Exploring Operation: 66/6=11, Resulting Numbers: [88, 12, 11]
Generated Node #0,1: 22:[88, 12, 11] Operation: 66/6=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[6, 12, 22], Operations: ['88-66=22']
Exploring Operation: 12/6=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 22:[22, 2] Operation: 12/6=2
Exploring Operation: 6+12=18, Resulting Numbers: [22, 18]
Generated Node #0,0,1: 22:[22, 18] Operation: 6+12=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 22:[22, 2], Operations: ['88-66=22', '12/6=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,22 unequal: No Solution
No 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: 22:[22, 18], Operations: ['88-66=22', '6+12=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,22 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: 22:[88, 12, 11], Operations: ['66/6=11']
Exploring Operation: 88-12=76, Resulting Numbers: [11, 76]
Generated Node #0,1,0: 22:[11, 76] Operation: 88-12=76
Exploring Operation: 88/11=8, Resulting Numbers: [12, 8]
Generated Node #0,1,1: 22:[12, 8] Operation: 88/11=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[12, 8], Operations: ['66/6=11', '88/11=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,22 unequal: No Solution
No 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: 22:[11, 76], Operations: ['66/6=11', '88-12=76']
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,22 unequal: No Solution
Exploring Operation: 11+76=87, Resulting Numbers: [87]
87,22 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 |
[
36,
48,
91,
13
] | 20 | [
"36+48=84",
"91+13=104",
"104-84=20"
] | Current State: 20:[36, 48, 91, 13], Operations: []
Exploring Operation: 36+48=84, Resulting Numbers: [91, 13, 84]
Generated Node #2: [91, 13, 84] from Operation: 36+48=84
Current State: 20:[91, 13, 84], Operations: ['36+48=84']
Exploring Operation: 91+13=104, Resulting Numbers: [84, 104]
Generated Node #3: [84, 104] from Operation: 91+13=104
Current State: 20:[84, 104], Operations: ['36+48=84', '91+13=104']
Exploring Operation: 104-84=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[36, 48, 91, 13], Operations: []
Exploring Operation: 91-48=43, Resulting Numbers: [36, 13, 43]
Generated Node #0,0: 20:[36, 13, 43] Operation: 91-48=43
Exploring Operation: 91/13=7, Resulting Numbers: [36, 48, 7]
Generated Node #0,1: 20:[36, 48, 7] Operation: 91/13=7
Moving to Node #0,0
Current State: 20:[36, 13, 43], Operations: ['91-48=43']
Exploring Operation: 43-36=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 20:[13, 7] Operation: 43-36=7
Exploring Operation: 36-13=23, Resulting Numbers: [43, 23]
Generated Node #0,0,1: 20:[43, 23] Operation: 36-13=23
Moving to Node #0,1
Current State: 20:[36, 48, 7], Operations: ['91/13=7']
Exploring Operation: 48-36=12, Resulting Numbers: [7, 12]
Generated Node #0,1,0: 20:[7, 12] Operation: 48-36=12
Exploring Operation: 36-7=29, Resulting Numbers: [48, 29]
Generated Node #0,1,1: 20:[48, 29] Operation: 36-7=29
Moving to Node #0,1,0
Current State: 20:[7, 12], Operations: ['91/13=7', '48-36=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[13, 7], Operations: ['91-48=43', '43-36=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,20 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[36, 48, 91, 13], Operations: []
Exploring Operation: 91-48=43, Resulting Numbers: [36, 13, 43]
Generated Node #0,0: 20:[36, 13, 43] Operation: 91-48=43
Moving to Node #0,0
Current State: 20:[36, 13, 43], Operations: ['91-48=43']
Exploring Operation: 43-36=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 20:[13, 7] Operation: 43-36=7
Moving to Node #0,0,0
Current State: 20:[13, 7], Operations: ['91-48=43', '43-36=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.987847 | hs_2 | sum_heuristic |
[
47,
87,
79,
69
] | 50 | [
"87-47=40",
"79-69=10",
"40+10=50"
] | Current State: 50:[47, 87, 79, 69], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [79, 69, 40]
Generated Node #2: [79, 69, 40] from Operation: 87-47=40
Current State: 50:[79, 69, 40], Operations: ['87-47=40']
Exploring Operation: 79-69=10, Resulting Numbers: [40, 10]
Generated Node #3: [40, 10] from Operation: 79-69=10
Current State: 50:[40, 10], Operations: ['87-47=40', '79-69=10']
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[47, 87, 79, 69], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [47, 69, 8]
Generated Node #0,0: 50:[47, 69, 8] Operation: 87-79=8
Exploring Operation: 87-69=18, Resulting Numbers: [47, 79, 18]
Generated Node #0,1: 50:[47, 79, 18] Operation: 87-69=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[47, 69, 8], Operations: ['87-79=8']
Exploring Operation: 69-8=61, Resulting Numbers: [47, 61]
Generated Node #0,0,0: 50:[47, 61] Operation: 69-8=61
Exploring Operation: 69-47=22, Resulting Numbers: [8, 22]
Generated Node #0,0,1: 50:[8, 22] Operation: 69-47=22
Moving to Node #0,0,1
Current State: 50:[8, 22], Operations: ['87-79=8', '69-47=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,50 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[47, 61], Operations: ['87-79=8', '69-8=61']
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,50 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[47, 79, 18], Operations: ['87-69=18']
Exploring Operation: 79-18=61, Resulting Numbers: [47, 61]
Generated Node #0,1,0: 50:[47, 61] Operation: 79-18=61
Exploring Operation: 79-47=32, Resulting Numbers: [18, 32]
Generated Node #0,1,1: 50:[18, 32] Operation: 79-47=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[47, 61], Operations: ['87-69=18', '79-18=61']
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,50 unequal: No Solution
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[18, 32], Operations: ['87-69=18', '79-47=32']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[47, 87, 79, 69], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [47, 79, 18]
Generated Node #0,1: 50:[47, 79, 18] Operation: 87-69=18
Moving to Node #0,1
Current State: 50:[47, 79, 18], Operations: ['87-69=18']
Exploring Operation: 79-47=32, Resulting Numbers: [18, 32]
Generated Node #0,1,1: 50:[18, 32] Operation: 79-47=32
Moving to Node #0,1,1
Current State: 50:[18, 32], Operations: ['87-69=18', '79-47=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
37,
9,
19,
17
] | 64 | [
"37-9=28",
"19+17=36",
"28+36=64"
] | Current State: 64:[37, 9, 19, 17], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [19, 17, 28]
Generated Node #2: [19, 17, 28] from Operation: 37-9=28
Current State: 64:[19, 17, 28], Operations: ['37-9=28']
Exploring Operation: 19+17=36, Resulting Numbers: [28, 36]
Generated Node #3: [28, 36] from Operation: 19+17=36
Current State: 64:[28, 36], Operations: ['37-9=28', '19+17=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[37, 9, 19, 17], Operations: []
Exploring Operation: 37-17=20, Resulting Numbers: [9, 19, 20]
Generated Node #0,0: 64:[9, 19, 20] Operation: 37-17=20
Exploring Operation: 37-19=18, Resulting Numbers: [9, 17, 18]
Generated Node #0,1: 64:[9, 17, 18] Operation: 37-19=18
Exploring Operation: 37-9=28, Resulting Numbers: [19, 17, 28]
Generated Node #0,2: 64:[19, 17, 28] Operation: 37-9=28
Exploring Operation: 19-17=2, Resulting Numbers: [37, 9, 2]
Generated Node #0,3: 64:[37, 9, 2] Operation: 19-17=2
Exploring Operation: 19-9=10, Resulting Numbers: [37, 17, 10]
Generated Node #0,4: 64:[37, 17, 10] Operation: 19-9=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[9, 17, 18], Operations: ['37-19=18']
Exploring Operation: 18-17=1, Resulting Numbers: [9, 1]
Generated Node #0,1,0: 64:[9, 1] Operation: 18-17=1
Exploring Operation: 18-9=9, Resulting Numbers: [17, 9]
Generated Node #0,1,1: 64:[17, 9] Operation: 18-9=9
Exploring Operation: 18/9=2, Resulting Numbers: [17, 2]
Generated Node #0,1,2: 64:[17, 2] Operation: 18/9=2
Exploring Operation: 17-9=8, Resulting Numbers: [18, 8]
Generated Node #0,1,3: 64:[18, 8] Operation: 17-9=8
Exploring Operation: 17+18=35, Resulting Numbers: [9, 35]
Generated Node #0,1,4: 64:[9, 35] Operation: 17+18=35
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 64:[17, 2], Operations: ['37-19=18', '18/9=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[9, 1], Operations: ['37-19=18', '18-17=1']
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[17, 9], Operations: ['37-19=18', '18-9=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,64 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 64:[18, 8], Operations: ['37-19=18', '17-9=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,64 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 64:[9, 35], Operations: ['37-19=18', '17+18=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,64 unequal: No Solution
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[37, 9, 2], Operations: ['19-17=2']
Exploring Operation: 37-2=35, Resulting Numbers: [9, 35]
Generated Node #0,3,0: 64:[9, 35] Operation: 37-2=35
Exploring Operation: 9*2=18, Resulting Numbers: [37, 18]
Generated Node #0,3,1: 64:[37, 18] Operation: 9*2=18
Exploring Operation: 37+2=39, Resulting Numbers: [9, 39]
Generated Node #0,3,2: 64:[9, 39] Operation: 37+2=39
Exploring Operation: 37-9=28, Resulting Numbers: [2, 28]
Generated Node #0,3,3: 64:[2, 28] Operation: 37-9=28
Exploring Operation: 9-2=7, Resulting Numbers: [37, 7]
Generated Node #0,3,4: 64:[37, 7] Operation: 9-2=7
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 64:[9, 35], Operations: ['19-17=2', '37-2=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 64:[2, 28], Operations: ['19-17=2', '37-9=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 64:[37, 7], Operations: ['19-17=2', '9-2=7']
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 37*7=259, Resulting Numbers: [259]
259,64 unequal: No Solution
Exploring Operation: 37+7=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 64:[37, 18], Operations: ['19-17=2', '9*2=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,64 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 64:[9, 39], Operations: ['19-17=2', '37+2=39']
Exploring Operation: 9*39=351, Resulting Numbers: [351]
351,64 unequal: No Solution
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 9+39=48, Resulting Numbers: [48]
48,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[9, 19, 20], Operations: ['37-17=20']
Exploring Operation: 20-9=11, Resulting Numbers: [19, 11]
Generated Node #0,0,0: 64:[19, 11] Operation: 20-9=11
Exploring Operation: 19-9=10, Resulting Numbers: [20, 10]
Generated Node #0,0,1: 64:[20, 10] Operation: 19-9=10
Exploring Operation: 9+20=29, Resulting Numbers: [19, 29]
Generated Node #0,0,2: 64:[19, 29] Operation: 9+20=29
Exploring Operation: 9+19=28, Resulting Numbers: [20, 28]
Generated Node #0,0,3: 64:[20, 28] Operation: 9+19=28
Exploring Operation: 20-19=1, Resulting Numbers: [9, 1]
Generated Node #0,0,4: 64:[9, 1] Operation: 20-19=1
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 64:[9, 1], Operations: ['37-17=20', '20-19=1']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[19, 11], Operations: ['37-17=20', '20-9=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[20, 10], Operations: ['37-17=20', '19-9=10']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,64 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 64:[19, 29], Operations: ['37-17=20', '9+20=29']
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,64 unequal: No Solution
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 64:[20, 28], Operations: ['37-17=20', '9+19=28']
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,64 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[19, 17, 28], Operations: ['37-9=28']
Exploring Operation: 19+28=47, Resulting Numbers: [17, 47]
Generated Node #0,2,0: 64:[17, 47] Operation: 19+28=47
Exploring Operation: 28-17=11, Resulting Numbers: [19, 11]
Generated Node #0,2,1: 64:[19, 11] Operation: 28-17=11
Exploring Operation: 28-19=9, Resulting Numbers: [17, 9]
Generated Node #0,2,2: 64:[17, 9] Operation: 28-19=9
Exploring Operation: 19+17=36, Resulting Numbers: [28, 36]
Generated Node #0,2,3: 64:[28, 36] Operation: 19+17=36
Exploring Operation: 19-17=2, Resulting Numbers: [28, 2]
Generated Node #0,2,4: 64:[28, 2] Operation: 19-17=2
Moving to Node #0,2,2
Current State: 64:[17, 9], Operations: ['37-9=28', '28-19=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,64 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,2,4
Current State: 64:[28, 2], Operations: ['37-9=28', '19-17=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[19, 11], Operations: ['37-9=28', '28-17=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,64 unequal: No Solution
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[28, 36], Operations: ['37-9=28', '19+17=36']
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,64 unequal: No Solution
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[37, 9, 19, 17], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [19, 17, 28]
Generated Node #0,2: 64:[19, 17, 28] Operation: 37-9=28
Moving to Node #0,2
Current State: 64:[19, 17, 28], Operations: ['37-9=28']
Exploring Operation: 19+17=36, Resulting Numbers: [28, 36]
Generated Node #0,2,3: 64:[28, 36] Operation: 19+17=36
Moving to Node #0,2,3
Current State: 64:[28, 36], Operations: ['37-9=28', '19+17=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.921875 | hs_5 | mult_heuristic |
[
39,
70,
76,
23
] | 68 | [
"70-39=31",
"76+23=99",
"99-31=68"
] | Current State: 68:[39, 70, 76, 23], Operations: []
Exploring Operation: 70-39=31, Resulting Numbers: [76, 23, 31]
Generated Node #2: [76, 23, 31] from Operation: 70-39=31
Current State: 68:[76, 23, 31], Operations: ['70-39=31']
Exploring Operation: 76+23=99, Resulting Numbers: [31, 99]
Generated Node #3: [31, 99] from Operation: 76+23=99
Current State: 68:[31, 99], Operations: ['70-39=31', '76+23=99']
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[39, 70, 76, 23], Operations: []
Exploring Operation: 70-39=31, Resulting Numbers: [76, 23, 31]
Generated Node #0,0: 68:[76, 23, 31] Operation: 70-39=31
Exploring Operation: 76-70=6, Resulting Numbers: [39, 23, 6]
Generated Node #0,1: 68:[39, 23, 6] Operation: 76-70=6
Exploring Operation: 76-39=37, Resulting Numbers: [70, 23, 37]
Generated Node #0,2: 68:[70, 23, 37] Operation: 76-39=37
Exploring Operation: 39-23=16, Resulting Numbers: [70, 76, 16]
Generated Node #0,3: 68:[70, 76, 16] Operation: 39-23=16
Exploring Operation: 39+23=62, Resulting Numbers: [70, 76, 62]
Generated Node #0,4: 68:[70, 76, 62] Operation: 39+23=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[70, 23, 37], Operations: ['76-39=37']
Exploring Operation: 70-23=47, Resulting Numbers: [37, 47]
Generated Node #0,2,0: 68:[37, 47] Operation: 70-23=47
Exploring Operation: 70+23=93, Resulting Numbers: [37, 93]
Generated Node #0,2,1: 68:[37, 93] Operation: 70+23=93
Exploring Operation: 70-37=33, Resulting Numbers: [23, 33]
Generated Node #0,2,2: 68:[23, 33] Operation: 70-37=33
Exploring Operation: 23+37=60, Resulting Numbers: [70, 60]
Generated Node #0,2,3: 68:[70, 60] Operation: 23+37=60
Exploring Operation: 37-23=14, Resulting Numbers: [70, 14]
Generated Node #0,2,4: 68:[70, 14] Operation: 37-23=14
Moving to Node #0,2,4
Current State: 68:[70, 14], Operations: ['76-39=37', '37-23=14']
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 70+14=84, Resulting Numbers: [84]
84,68 unequal: No Solution
Exploring Operation: 70*14=980, Resulting Numbers: [980]
980,68 unequal: No Solution
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[23, 33], Operations: ['76-39=37', '70-37=33']
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,68 unequal: No Solution
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Moving to Node #0,2,3
Current State: 68:[70, 60], Operations: ['76-39=37', '23+37=60']
Exploring Operation: 70+60=130, Resulting Numbers: [130]
130,68 unequal: No Solution
Exploring Operation: 70*60=4200, Resulting Numbers: [4200]
4200,68 unequal: No Solution
Exploring Operation: 70-60=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[37, 47], Operations: ['76-39=37', '70-23=47']
Exploring Operation: 37+47=84, Resulting Numbers: [84]
84,68 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Exploring Operation: 37*47=1739, Resulting Numbers: [1739]
1739,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[37, 93], Operations: ['76-39=37', '70+23=93']
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 37+93=130, Resulting Numbers: [130]
130,68 unequal: No Solution
Exploring Operation: 37*93=3441, Resulting Numbers: [3441]
3441,68 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 #0,3
Current State: 68:[70, 76, 16], Operations: ['39-23=16']
Exploring Operation: 76+16=92, Resulting Numbers: [70, 92]
Generated Node #0,3,0: 68:[70, 92] Operation: 76+16=92
Exploring Operation: 76-16=60, Resulting Numbers: [70, 60]
Generated Node #0,3,1: 68:[70, 60] Operation: 76-16=60
Exploring Operation: 70-16=54, Resulting Numbers: [76, 54]
Generated Node #0,3,2: 68:[76, 54] Operation: 70-16=54
Exploring Operation: 76-70=6, Resulting Numbers: [16, 6]
Generated Node #0,3,3: 68:[16, 6] Operation: 76-70=6
Exploring Operation: 70+16=86, Resulting Numbers: [76, 86]
Generated Node #0,3,4: 68:[76, 86] Operation: 70+16=86
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 68:[16, 6], Operations: ['39-23=16', '76-70=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,68 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,68 unequal: No Solution
No 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: 68:[70, 60], Operations: ['39-23=16', '76-16=60']
Exploring Operation: 70+60=130, Resulting Numbers: [130]
130,68 unequal: No Solution
Exploring Operation: 70-60=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Exploring Operation: 70*60=4200, Resulting Numbers: [4200]
4200,68 unequal: No Solution
No 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: 68:[76, 54], Operations: ['39-23=16', '70-16=54']
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,68 unequal: No Solution
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,68 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,68 unequal: No Solution
No 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: 68:[70, 92], Operations: ['39-23=16', '76+16=92']
Exploring Operation: 70*92=6440, Resulting Numbers: [6440]
6440,68 unequal: No Solution
Exploring Operation: 92-70=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 70+92=162, Resulting Numbers: [162]
162,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 68:[76, 86], Operations: ['39-23=16', '70+16=86']
Exploring Operation: 76+86=162, Resulting Numbers: [162]
162,68 unequal: No Solution
Exploring Operation: 76*86=6536, Resulting Numbers: [6536]
6536,68 unequal: No Solution
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,68 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: 68:[39, 23, 6], Operations: ['76-70=6']
Exploring Operation: 23-6=17, Resulting Numbers: [39, 17]
Generated Node #0,1,0: 68:[39, 17] Operation: 23-6=17
Exploring Operation: 39-6=33, Resulting Numbers: [23, 33]
Generated Node #0,1,1: 68:[23, 33] Operation: 39-6=33
Exploring Operation: 39+23=62, Resulting Numbers: [6, 62]
Generated Node #0,1,2: 68:[6, 62] Operation: 39+23=62
Exploring Operation: 39-23=16, Resulting Numbers: [6, 16]
Generated Node #0,1,3: 68:[6, 16] Operation: 39-23=16
Exploring Operation: 23+6=29, Resulting Numbers: [39, 29]
Generated Node #0,1,4: 68:[39, 29] Operation: 23+6=29
Moving to Node #0,1,3
Current State: 68:[6, 16], Operations: ['76-70=6', '39-23=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[39, 17], Operations: ['76-70=6', '23-6=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[23, 33], Operations: ['76-70=6', '39-6=33']
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,68 unequal: No Solution
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[6, 62], Operations: ['76-70=6', '39+23=62']
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,68 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[39, 70, 76, 23], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [39, 23, 6]
Generated Node #0,1: 68:[39, 23, 6] Operation: 76-70=6
Moving to Node #0,1
Current State: 68:[39, 23, 6], Operations: ['76-70=6']
Exploring Operation: 39+23=62, Resulting Numbers: [6, 62]
Generated Node #0,1,2: 68:[6, 62] Operation: 39+23=62
Moving to Node #0,1,2
Current State: 68:[6, 62], Operations: ['76-70=6', '39+23=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | sum_heuristic |
[
48,
48,
51,
4
] | 51 | [
"48-48=0",
"4*0=0",
"51+0=51"
] | Current State: 51:[48, 48, 51, 4], Operations: []
Exploring Operation: 48-48=0, Resulting Numbers: [51, 4, 0]
Generated Node #2: [51, 4, 0] from Operation: 48-48=0
Current State: 51:[51, 4, 0], Operations: ['48-48=0']
Exploring Operation: 4*0=0, Resulting Numbers: [51, 0]
Generated Node #3: [51, 0] from Operation: 4*0=0
Current State: 51:[51, 0], Operations: ['48-48=0', '4*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[48, 48, 51, 4], Operations: []
Exploring Operation: 48/48=1, Resulting Numbers: [51, 4, 1]
Generated Node #0,0: 51:[51, 4, 1] Operation: 48/48=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[51, 4, 1], Operations: ['48/48=1']
Exploring Operation: 4-1=3, Resulting Numbers: [51, 3]
Generated Node #0,0,0: 51:[51, 3] Operation: 4-1=3
Moving to Node #0,0,0
Current State: 51:[51, 3], Operations: ['48/48=1', '4-1=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
78,
53,
5,
26
] | 51 | [
"78/26=3",
"53-5=48",
"3+48=51"
] | Current State: 51:[78, 53, 5, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [53, 5, 3]
Generated Node #2: [53, 5, 3] from Operation: 78/26=3
Current State: 51:[53, 5, 3], Operations: ['78/26=3']
Exploring Operation: 53-5=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 53-5=48
Current State: 51:[3, 48], Operations: ['78/26=3', '53-5=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[78, 53, 5, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [53, 5, 3]
Generated Node #0,0: 51:[53, 5, 3] Operation: 78/26=3
Exploring Operation: 78-26=52, Resulting Numbers: [53, 5, 52]
Generated Node #0,1: 51:[53, 5, 52] Operation: 78-26=52
Exploring Operation: 78-53=25, Resulting Numbers: [5, 26, 25]
Generated Node #0,2: 51:[5, 26, 25] Operation: 78-53=25
Moving to Node #0,0
Current State: 51:[53, 5, 3], Operations: ['78/26=3']
Exploring Operation: 53-3=50, Resulting Numbers: [5, 50]
Generated Node #0,0,0: 51:[5, 50] Operation: 53-3=50
Exploring Operation: 5-3=2, Resulting Numbers: [53, 2]
Generated Node #0,0,1: 51:[53, 2] Operation: 5-3=2
Exploring Operation: 53-5=48, Resulting Numbers: [3, 48]
Generated Node #0,0,2: 51:[3, 48] Operation: 53-5=48
Moving to Node #0,1
Current State: 51:[53, 5, 52], Operations: ['78-26=52']
Exploring Operation: 53-52=1, Resulting Numbers: [5, 1]
Generated Node #0,1,0: 51:[5, 1] Operation: 53-52=1
Exploring Operation: 52-5=47, Resulting Numbers: [53, 47]
Generated Node #0,1,1: 51:[53, 47] Operation: 52-5=47
Exploring Operation: 53-5=48, Resulting Numbers: [52, 48]
Generated Node #0,1,2: 51:[52, 48] Operation: 53-5=48
Moving to Node #0,2
Current State: 51:[5, 26, 25], Operations: ['78-53=25']
Exploring Operation: 26-25=1, Resulting Numbers: [5, 1]
Generated Node #0,2,0: 51:[5, 1] Operation: 26-25=1
Exploring Operation: 25/5=5, Resulting Numbers: [26, 5]
Generated Node #0,2,1: 51:[26, 5] Operation: 25/5=5
Exploring Operation: 26+25=51, Resulting Numbers: [5, 51]
Generated Node #0,2,2: 51:[5, 51] Operation: 26+25=51
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[5, 51], Operations: ['78-53=25', '26+25=51']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,51 unequal: No Solution
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,51 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 #0,2,0
Current State: 51:[5, 1], Operations: ['78-53=25', '26-25=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,51 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 #0,2,1
Current State: 51:[26, 5], Operations: ['78-53=25', '25/5=5']
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,51 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,51 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: 51:[5, 50], Operations: ['78/26=3', '53-3=50']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[3, 48], Operations: ['78/26=3', '53-5=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[78, 53, 5, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [53, 5, 3]
Generated Node #0,0: 51:[53, 5, 3] Operation: 78/26=3
Moving to Node #0,0
Current State: 51:[53, 5, 3], Operations: ['78/26=3']
Exploring Operation: 53-5=48, Resulting Numbers: [3, 48]
Generated Node #0,0,2: 51:[3, 48] Operation: 53-5=48
Moving to Node #0,0,2
Current State: 51:[3, 48], Operations: ['78/26=3', '53-5=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.97309 | hs_3 | sum_heuristic |
[
97,
73,
34,
76
] | 71 | [
"97+73=170",
"170/34=5",
"76-5=71"
] | Current State: 71:[97, 73, 34, 76], Operations: []
Exploring Operation: 97+73=170, Resulting Numbers: [34, 76, 170]
Generated Node #2: [34, 76, 170] from Operation: 97+73=170
Current State: 71:[34, 76, 170], Operations: ['97+73=170']
Exploring Operation: 170/34=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 170/34=5
Current State: 71:[76, 5], Operations: ['97+73=170', '170/34=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[97, 73, 34, 76], Operations: []
Exploring Operation: 73-34=39, Resulting Numbers: [97, 76, 39]
Generated Node #0,0: 71:[97, 76, 39] Operation: 73-34=39
Exploring Operation: 76-34=42, Resulting Numbers: [97, 73, 42]
Generated Node #0,1: 71:[97, 73, 42] Operation: 76-34=42
Exploring Operation: 97-34=63, Resulting Numbers: [73, 76, 63]
Generated Node #0,2: 71:[73, 76, 63] Operation: 97-34=63
Moving to Node #0,2
Current State: 71:[73, 76, 63], Operations: ['97-34=63']
Exploring Operation: 76-63=13, Resulting Numbers: [73, 13]
Generated Node #0,2,0: 71:[73, 13] Operation: 76-63=13
Exploring Operation: 73+63=136, Resulting Numbers: [76, 136]
Generated Node #0,2,1: 71:[76, 136] Operation: 73+63=136
Exploring Operation: 73-63=10, Resulting Numbers: [76, 10]
Generated Node #0,2,2: 71:[76, 10] Operation: 73-63=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 71:[73, 13], Operations: ['97-34=63', '76-63=13']
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,71 unequal: No Solution
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 73*13=949, Resulting Numbers: [949]
949,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 71:[76, 10], Operations: ['97-34=63', '73-63=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,71 unequal: No Solution
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 76*10=760, Resulting Numbers: [760]
760,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 71:[76, 136], Operations: ['97-34=63', '73+63=136']
Exploring Operation: 136-76=60, Resulting Numbers: [60]
60,71 unequal: No Solution
Exploring Operation: 76+136=212, Resulting Numbers: [212]
212,71 unequal: No Solution
Exploring Operation: 76*136=10336, Resulting Numbers: [10336]
10336,71 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: 71:[97, 73, 42], Operations: ['76-34=42']
Exploring Operation: 97-42=55, Resulting Numbers: [73, 55]
Generated Node #0,1,0: 71:[73, 55] Operation: 97-42=55
Exploring Operation: 97+42=139, Resulting Numbers: [73, 139]
Generated Node #0,1,1: 71:[73, 139] Operation: 97+42=139
Exploring Operation: 73-42=31, Resulting Numbers: [97, 31]
Generated Node #0,1,2: 71:[97, 31] Operation: 73-42=31
Moving to Node #0,0
Current State: 71:[97, 76, 39], Operations: ['73-34=39']
Exploring Operation: 97-39=58, Resulting Numbers: [76, 58]
Generated Node #0,0,0: 71:[76, 58] Operation: 97-39=58
Exploring Operation: 76-39=37, Resulting Numbers: [97, 37]
Generated Node #0,0,1: 71:[97, 37] Operation: 76-39=37
Exploring Operation: 97+39=136, Resulting Numbers: [76, 136]
Generated Node #0,0,2: 71:[76, 136] Operation: 97+39=136
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[76, 58], Operations: ['73-34=39', '97-39=58']
Exploring Operation: 76+58=134, Resulting Numbers: [134]
134,71 unequal: No Solution
Exploring Operation: 76*58=4408, Resulting Numbers: [4408]
4408,71 unequal: No Solution
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[97, 37], Operations: ['73-34=39', '76-39=37']
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,71 unequal: No Solution
Exploring Operation: 97+37=134, Resulting Numbers: [134]
134,71 unequal: No Solution
Exploring Operation: 97*37=3589, Resulting Numbers: [3589]
3589,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[76, 136], Operations: ['73-34=39', '97+39=136']
Exploring Operation: 76*136=10336, Resulting Numbers: [10336]
10336,71 unequal: No Solution
Exploring Operation: 136-76=60, Resulting Numbers: [60]
60,71 unequal: No Solution
Exploring Operation: 76+136=212, Resulting Numbers: [212]
212,71 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: 71:[73, 55], Operations: ['76-34=42', '97-42=55']
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 73+55=128, Resulting Numbers: [128]
128,71 unequal: No Solution
Exploring Operation: 73*55=4015, Resulting Numbers: [4015]
4015,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[97, 31], Operations: ['76-34=42', '73-42=31']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,71 unequal: No Solution
Exploring Operation: 97*31=3007, Resulting Numbers: [3007]
3007,71 unequal: No Solution
Exploring Operation: 97+31=128, Resulting Numbers: [128]
128,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[73, 139], Operations: ['76-34=42', '97+42=139']
Exploring Operation: 73*139=10147, Resulting Numbers: [10147]
10147,71 unequal: No Solution
Exploring Operation: 73+139=212, Resulting Numbers: [212]
212,71 unequal: No Solution
Exploring Operation: 139-73=66, Resulting Numbers: [66]
66,71 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
90,
15,
60,
66
] | 21 | [
"90+15=105",
"60+66=126",
"126-105=21"
] | Current State: 21:[90, 15, 60, 66], Operations: []
Exploring Operation: 90+15=105, Resulting Numbers: [60, 66, 105]
Generated Node #2: [60, 66, 105] from Operation: 90+15=105
Current State: 21:[60, 66, 105], Operations: ['90+15=105']
Exploring Operation: 60+66=126, Resulting Numbers: [105, 126]
Generated Node #3: [105, 126] from Operation: 60+66=126
Current State: 21:[105, 126], Operations: ['90+15=105', '60+66=126']
Exploring Operation: 126-105=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[90, 15, 60, 66], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [15, 60, 24]
Generated Node #0,0: 21:[15, 60, 24] Operation: 90-66=24
Exploring Operation: 90-60=30, Resulting Numbers: [15, 66, 30]
Generated Node #0,1: 21:[15, 66, 30] Operation: 90-60=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[15, 60, 24], Operations: ['90-66=24']
Exploring Operation: 60-24=36, Resulting Numbers: [15, 36]
Generated Node #0,0,0: 21:[15, 36] Operation: 60-24=36
Exploring Operation: 60/15=4, Resulting Numbers: [24, 4]
Generated Node #0,0,1: 21:[24, 4] Operation: 60/15=4
Moving to Node #0,0,1
Current State: 21:[24, 4], Operations: ['90-66=24', '60/15=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[15, 36], Operations: ['90-66=24', '60-24=36']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[90, 15, 60, 66], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [15, 60, 24]
Generated Node #0,0: 21:[15, 60, 24] Operation: 90-66=24
Moving to Node #0,0
Current State: 21:[15, 60, 24], Operations: ['90-66=24']
Exploring Operation: 60-24=36, Resulting Numbers: [15, 36]
Generated Node #0,0,0: 21:[15, 36] Operation: 60-24=36
Moving to Node #0,0,0
Current State: 21:[15, 36], Operations: ['90-66=24', '60-24=36']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
8,
12,
36,
24
] | 24 | [
"8*36=288",
"24-12=12",
"288/12=24"
] | Current State: 24:[8, 12, 36, 24], Operations: []
Exploring Operation: 8*36=288, Resulting Numbers: [12, 24, 288]
Generated Node #2: [12, 24, 288] from Operation: 8*36=288
Current State: 24:[12, 24, 288], Operations: ['8*36=288']
Exploring Operation: 24-12=12, Resulting Numbers: [288, 12]
Generated Node #3: [288, 12] from Operation: 24-12=12
Current State: 24:[288, 12], Operations: ['8*36=288', '24-12=12']
Exploring Operation: 288/12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[8, 12, 36, 24], Operations: []
Exploring Operation: 36-12=24, Resulting Numbers: [8, 24, 24]
Generated Node #0,0: 24:[8, 24, 24] Operation: 36-12=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[8, 24, 24], Operations: ['36-12=24']
Exploring Operation: 24/8=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 24:[24, 3] Operation: 24/8=3
Moving to Node #0,0,0
Current State: 24:[24, 3], Operations: ['36-12=24', '24/8=3']
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,24 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 |
[
39,
1,
7,
85
] | 54 | [
"39-1=38",
"7+85=92",
"92-38=54"
] | Current State: 54:[39, 1, 7, 85], Operations: []
Exploring Operation: 39-1=38, Resulting Numbers: [7, 85, 38]
Generated Node #2: [7, 85, 38] from Operation: 39-1=38
Current State: 54:[7, 85, 38], Operations: ['39-1=38']
Exploring Operation: 7+85=92, Resulting Numbers: [38, 92]
Generated Node #3: [38, 92] from Operation: 7+85=92
Current State: 54:[38, 92], Operations: ['39-1=38', '7+85=92']
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[39, 1, 7, 85], Operations: []
Exploring Operation: 39-7=32, Resulting Numbers: [1, 85, 32]
Generated Node #0,0: 54:[1, 85, 32] Operation: 39-7=32
Exploring Operation: 85-7=78, Resulting Numbers: [39, 1, 78]
Generated Node #0,1: 54:[39, 1, 78] Operation: 85-7=78
Exploring Operation: 39+7=46, Resulting Numbers: [1, 85, 46]
Generated Node #0,2: 54:[1, 85, 46] Operation: 39+7=46
Exploring Operation: 85-39=46, Resulting Numbers: [1, 7, 46]
Generated Node #0,3: 54:[1, 7, 46] Operation: 85-39=46
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[1, 7, 46], Operations: ['85-39=46']
Exploring Operation: 1+46=47, Resulting Numbers: [7, 47]
Generated Node #0,3,0: 54:[7, 47] Operation: 1+46=47
Exploring Operation: 7-1=6, Resulting Numbers: [46, 6]
Generated Node #0,3,1: 54:[46, 6] Operation: 7-1=6
Exploring Operation: 7+46=53, Resulting Numbers: [1, 53]
Generated Node #0,3,2: 54:[1, 53] Operation: 7+46=53
Exploring Operation: 1+7=8, Resulting Numbers: [46, 8]
Generated Node #0,3,3: 54:[46, 8] Operation: 1+7=8
Moving to Node #0,3,2
Current State: 54:[1, 53], Operations: ['85-39=46', '7+46=53']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,54 unequal: No Solution
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 1*53=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[39, 1, 7, 85], Operations: []
Exploring Operation: 85-39=46, Resulting Numbers: [1, 7, 46]
Generated Node #0,3: 54:[1, 7, 46] Operation: 85-39=46
Moving to Node #0,3
Current State: 54:[1, 7, 46], Operations: ['85-39=46']
Exploring Operation: 7+46=53, Resulting Numbers: [1, 53]
Generated Node #0,3,2: 54:[1, 53] Operation: 7+46=53
Moving to Node #0,3,2
Current State: 54:[1, 53], Operations: ['85-39=46', '7+46=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
1,
6,
10,
74
] | 14 | [
"1*6=6",
"10+74=84",
"84/6=14"
] | Current State: 14:[1, 6, 10, 74], Operations: []
Exploring Operation: 1*6=6, Resulting Numbers: [10, 74, 6]
Generated Node #2: [10, 74, 6] from Operation: 1*6=6
Current State: 14:[10, 74, 6], Operations: ['1*6=6']
Exploring Operation: 10+74=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 10+74=84
Current State: 14:[6, 84], Operations: ['1*6=6', '10+74=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[1, 6, 10, 74], Operations: []
Exploring Operation: 1+6=7, Resulting Numbers: [10, 74, 7]
Generated Node #0,0: 14:[10, 74, 7] Operation: 1+6=7
Exploring Operation: 10-1=9, Resulting Numbers: [6, 74, 9]
Generated Node #0,1: 14:[6, 74, 9] Operation: 10-1=9
Exploring Operation: 74-6=68, Resulting Numbers: [1, 10, 68]
Generated Node #0,2: 14:[1, 10, 68] Operation: 74-6=68
Exploring Operation: 74-10=64, Resulting Numbers: [1, 6, 64]
Generated Node #0,3: 14:[1, 6, 64] Operation: 74-10=64
Exploring Operation: 74-1=73, Resulting Numbers: [6, 10, 73]
Generated Node #0,4: 14:[6, 10, 73] Operation: 74-1=73
Moving to Node #0,3
Current State: 14:[1, 6, 64], Operations: ['74-10=64']
Exploring Operation: 64-6=58, Resulting Numbers: [1, 58]
Generated Node #0,3,0: 14:[1, 58] Operation: 64-6=58
Exploring Operation: 1*6=6, Resulting Numbers: [64, 6]
Generated Node #0,3,1: 14:[64, 6] Operation: 1*6=6
Exploring Operation: 64-1=63, Resulting Numbers: [6, 63]
Generated Node #0,3,2: 14:[6, 63] Operation: 64-1=63
Exploring Operation: 6/1=6, Resulting Numbers: [64, 6]
Generated Node #0,3,3: 14:[64, 6] Operation: 6/1=6
Exploring Operation: 1+6=7, Resulting Numbers: [64, 7]
Generated Node #0,3,4: 14:[64, 7] Operation: 1+6=7
Moving to Node #0,2
Current State: 14:[1, 10, 68], Operations: ['74-6=68']
Exploring Operation: 68-10=58, Resulting Numbers: [1, 58]
Generated Node #0,2,0: 14:[1, 58] Operation: 68-10=58
Exploring Operation: 1+10=11, Resulting Numbers: [68, 11]
Generated Node #0,2,1: 14:[68, 11] Operation: 1+10=11
Exploring Operation: 10-1=9, Resulting Numbers: [68, 9]
Generated Node #0,2,2: 14:[68, 9] Operation: 10-1=9
Exploring Operation: 1*10=10, Resulting Numbers: [68, 10]
Generated Node #0,2,3: 14:[68, 10] Operation: 1*10=10
Exploring Operation: 68-1=67, Resulting Numbers: [10, 67]
Generated Node #0,2,4: 14:[10, 67] Operation: 68-1=67
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[1, 58], Operations: ['74-6=68', '68-10=58']
Exploring Operation: 1+58=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 1*58=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[68, 9], Operations: ['74-6=68', '10-1=9']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Exploring Operation: 68*9=612, Resulting Numbers: [612]
612,14 unequal: No Solution
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 14:[10, 67], Operations: ['74-6=68', '68-1=67']
Exploring Operation: 10*67=670, Resulting Numbers: [670]
670,14 unequal: No Solution
Exploring Operation: 10+67=77, Resulting Numbers: [77]
77,14 unequal: No Solution
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[68, 11], Operations: ['74-6=68', '1+10=11']
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,14 unequal: No Solution
Exploring Operation: 68*11=748, Resulting Numbers: [748]
748,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[68, 10], Operations: ['74-6=68', '1*10=10']
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,14 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,14 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,14 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: 14:[10, 74, 7], Operations: ['1+6=7']
Exploring Operation: 10+7=17, Resulting Numbers: [74, 17]
Generated Node #0,0,0: 14:[74, 17] Operation: 10+7=17
Exploring Operation: 74-10=64, Resulting Numbers: [7, 64]
Generated Node #0,0,1: 14:[7, 64] Operation: 74-10=64
Exploring Operation: 74-7=67, Resulting Numbers: [10, 67]
Generated Node #0,0,2: 14:[10, 67] Operation: 74-7=67
Exploring Operation: 10-7=3, Resulting Numbers: [74, 3]
Generated Node #0,0,3: 14:[74, 3] Operation: 10-7=3
Exploring Operation: 10+74=84, Resulting Numbers: [7, 84]
Generated Node #0,0,4: 14:[7, 84] Operation: 10+74=84
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[7, 64], Operations: ['1+6=7', '74-10=64']
Exploring Operation: 7*64=448, Resulting Numbers: [448]
448,14 unequal: No Solution
Exploring Operation: 7+64=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[10, 67], Operations: ['1+6=7', '74-7=67']
Exploring Operation: 10*67=670, Resulting Numbers: [670]
670,14 unequal: No Solution
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 10+67=77, Resulting Numbers: [77]
77,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 14:[74, 3], Operations: ['1+6=7', '10-7=3']
Exploring Operation: 74*3=222, Resulting Numbers: [222]
222,14 unequal: No Solution
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,14 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[74, 17], Operations: ['1+6=7', '10+7=17']
Exploring Operation: 74*17=1258, Resulting Numbers: [1258]
1258,14 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 14:[7, 84], Operations: ['1+6=7', '10+74=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,14 unequal: No Solution
Exploring Operation: 7*84=588, Resulting Numbers: [588]
588,14 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,14 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: 14:[6, 74, 9], Operations: ['10-1=9']
Exploring Operation: 74-9=65, Resulting Numbers: [6, 65]
Generated Node #0,1,0: 14:[6, 65] Operation: 74-9=65
Exploring Operation: 9-6=3, Resulting Numbers: [74, 3]
Generated Node #0,1,1: 14:[74, 3] Operation: 9-6=3
Exploring Operation: 6+74=80, Resulting Numbers: [9, 80]
Generated Node #0,1,2: 14:[9, 80] Operation: 6+74=80
Exploring Operation: 74-6=68, Resulting Numbers: [9, 68]
Generated Node #0,1,3: 14:[9, 68] Operation: 74-6=68
Exploring Operation: 6+9=15, Resulting Numbers: [74, 15]
Generated Node #0,1,4: 14:[74, 15] Operation: 6+9=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[6, 65], Operations: ['10-1=9', '74-9=65']
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,14 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 14:[9, 68], Operations: ['10-1=9', '74-6=68']
Exploring Operation: 9*68=612, Resulting Numbers: [612]
612,14 unequal: No Solution
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,14 unequal: No Solution
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 14:[74, 3], Operations: ['10-1=9', '9-6=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,14 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 74*3=222, Resulting Numbers: [222]
222,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 14:[74, 15], Operations: ['10-1=9', '6+9=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,14 unequal: No Solution
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[9, 80], Operations: ['10-1=9', '6+74=80']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 9*80=720, Resulting Numbers: [720]
720,14 unequal: No Solution
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 14:[6, 10, 73], Operations: ['74-1=73']
Exploring Operation: 6+73=79, Resulting Numbers: [10, 79]
Generated Node #0,4,0: 14:[10, 79] Operation: 6+73=79
Exploring Operation: 73-10=63, Resulting Numbers: [6, 63]
Generated Node #0,4,1: 14:[6, 63] Operation: 73-10=63
Exploring Operation: 6+10=16, Resulting Numbers: [73, 16]
Generated Node #0,4,2: 14:[73, 16] Operation: 6+10=16
Exploring Operation: 73-6=67, Resulting Numbers: [10, 67]
Generated Node #0,4,3: 14:[10, 67] Operation: 73-6=67
Exploring Operation: 10-6=4, Resulting Numbers: [73, 4]
Generated Node #0,4,4: 14:[73, 4] Operation: 10-6=4
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 14:[6, 63], Operations: ['74-1=73', '73-10=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 14:[10, 67], Operations: ['74-1=73', '73-6=67']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 10+67=77, Resulting Numbers: [77]
77,14 unequal: No Solution
Exploring Operation: 10*67=670, Resulting Numbers: [670]
670,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 14:[73, 16], Operations: ['74-1=73', '6+10=16']
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,14 unequal: No Solution
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 73*16=1168, Resulting Numbers: [1168]
1168,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 14:[73, 4], Operations: ['74-1=73', '10-6=4']
Exploring Operation: 73*4=292, Resulting Numbers: [292]
292,14 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 14:[10, 79], Operations: ['74-1=73', '6+73=79']
Exploring Operation: 10*79=790, Resulting Numbers: [790]
790,14 unequal: No Solution
Exploring Operation: 10+79=89, Resulting Numbers: [89]
89,14 unequal: No Solution
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 14:[1, 58], Operations: ['74-10=64', '64-6=58']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 1*58=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 1+58=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Moving to Node #0,3,4
Current State: 14:[64, 7], Operations: ['74-10=64', '1+6=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[6, 63], Operations: ['74-10=64', '64-1=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,14 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[64, 6], Operations: ['74-10=64', '1*6=6']
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,14 unequal: No Solution
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,14 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[64, 6], Operations: ['74-10=64', '6/1=6']
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,14 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,14 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
59,
9,
26,
92
] | 83 | [
"59+92=151",
"9*26=234",
"234-151=83"
] | Current State: 83:[59, 9, 26, 92], Operations: []
Exploring Operation: 59+92=151, Resulting Numbers: [9, 26, 151]
Generated Node #2: [9, 26, 151] from Operation: 59+92=151
Current State: 83:[9, 26, 151], Operations: ['59+92=151']
Exploring Operation: 9*26=234, Resulting Numbers: [151, 234]
Generated Node #3: [151, 234] from Operation: 9*26=234
Current State: 83:[151, 234], Operations: ['59+92=151', '9*26=234']
Exploring Operation: 234-151=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[59, 9, 26, 92], Operations: []
Exploring Operation: 59+9=68, Resulting Numbers: [26, 92, 68]
Generated Node #0,0: 83:[26, 92, 68] Operation: 59+9=68
Exploring Operation: 92-9=83, Resulting Numbers: [59, 26, 83]
Generated Node #0,1: 83:[59, 26, 83] Operation: 92-9=83
Exploring Operation: 59+26=85, Resulting Numbers: [9, 92, 85]
Generated Node #0,2: 83:[9, 92, 85] Operation: 59+26=85
Exploring Operation: 59-9=50, Resulting Numbers: [26, 92, 50]
Generated Node #0,3: 83:[26, 92, 50] Operation: 59-9=50
Exploring Operation: 9+26=35, Resulting Numbers: [59, 92, 35]
Generated Node #0,4: 83:[59, 92, 35] Operation: 9+26=35
Moving to Node #0,0
Current State: 83:[26, 92, 68], Operations: ['59+9=68']
Exploring Operation: 26+68=94, Resulting Numbers: [92, 94]
Generated Node #0,0,0: 83:[92, 94] Operation: 26+68=94
Exploring Operation: 26+92=118, Resulting Numbers: [68, 118]
Generated Node #0,0,1: 83:[68, 118] Operation: 26+92=118
Exploring Operation: 68-26=42, Resulting Numbers: [92, 42]
Generated Node #0,0,2: 83:[92, 42] Operation: 68-26=42
Exploring Operation: 92-26=66, Resulting Numbers: [68, 66]
Generated Node #0,0,3: 83:[68, 66] Operation: 92-26=66
Exploring Operation: 92-68=24, Resulting Numbers: [26, 24]
Generated Node #0,0,4: 83:[26, 24] Operation: 92-68=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[92, 94], Operations: ['59+9=68', '26+68=94']
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,83 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[68, 66], Operations: ['59+9=68', '92-26=66']
Exploring Operation: 68+66=134, Resulting Numbers: [134]
134,83 unequal: No Solution
Exploring Operation: 68*66=4488, Resulting Numbers: [4488]
4488,83 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[68, 118], Operations: ['59+9=68', '26+92=118']
Exploring Operation: 68+118=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 68*118=8024, Resulting Numbers: [8024]
8024,83 unequal: No Solution
Exploring Operation: 118-68=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[92, 42], Operations: ['59+9=68', '68-26=42']
Exploring Operation: 92*42=3864, Resulting Numbers: [3864]
3864,83 unequal: No Solution
Exploring Operation: 92+42=134, Resulting Numbers: [134]
134,83 unequal: No Solution
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 83:[26, 24], Operations: ['59+9=68', '92-68=24']
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,83 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 83:[59, 92, 35], Operations: ['9+26=35']
Exploring Operation: 59+35=94, Resulting Numbers: [92, 94]
Generated Node #0,4,0: 83:[92, 94] Operation: 59+35=94
Exploring Operation: 92-35=57, Resulting Numbers: [59, 57]
Generated Node #0,4,1: 83:[59, 57] Operation: 92-35=57
Exploring Operation: 92+35=127, Resulting Numbers: [59, 127]
Generated Node #0,4,2: 83:[59, 127] Operation: 92+35=127
Exploring Operation: 92-59=33, Resulting Numbers: [35, 33]
Generated Node #0,4,3: 83:[35, 33] Operation: 92-59=33
Exploring Operation: 59-35=24, Resulting Numbers: [92, 24]
Generated Node #0,4,4: 83:[92, 24] Operation: 59-35=24
Moving to Node #0,1
Current State: 83:[59, 26, 83], Operations: ['92-9=83']
Exploring Operation: 59+83=142, Resulting Numbers: [26, 142]
Generated Node #0,1,0: 83:[26, 142] Operation: 59+83=142
Exploring Operation: 26+83=109, Resulting Numbers: [59, 109]
Generated Node #0,1,1: 83:[59, 109] Operation: 26+83=109
Exploring Operation: 59+26=85, Resulting Numbers: [83, 85]
Generated Node #0,1,2: 83:[83, 85] Operation: 59+26=85
Exploring Operation: 59-26=33, Resulting Numbers: [83, 33]
Generated Node #0,1,3: 83:[83, 33] Operation: 59-26=33
Exploring Operation: 83-26=57, Resulting Numbers: [59, 57]
Generated Node #0,1,4: 83:[59, 57] Operation: 83-26=57
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[83, 85], Operations: ['92-9=83', '59+26=85']
Exploring Operation: 83*85=7055, Resulting Numbers: [7055]
7055,83 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 83+85=168, Resulting Numbers: [168]
168,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[59, 109], Operations: ['92-9=83', '26+83=109']
Exploring Operation: 109-59=50, Resulting Numbers: [50]
50,83 unequal: No Solution
Exploring Operation: 59+109=168, Resulting Numbers: [168]
168,83 unequal: No Solution
Exploring Operation: 59*109=6431, Resulting Numbers: [6431]
6431,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[83, 33], Operations: ['92-9=83', '59-26=33']
Exploring Operation: 83*33=2739, Resulting Numbers: [2739]
2739,83 unequal: No Solution
Exploring Operation: 83+33=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 83:[59, 57], Operations: ['92-9=83', '83-26=57']
Exploring Operation: 59*57=3363, Resulting Numbers: [3363]
3363,83 unequal: No Solution
Exploring Operation: 59+57=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 59-57=2, Resulting Numbers: [2]
2,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[26, 142], Operations: ['92-9=83', '59+83=142']
Exploring Operation: 26+142=168, Resulting Numbers: [168]
168,83 unequal: No Solution
Exploring Operation: 142-26=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 26*142=3692, Resulting Numbers: [3692]
3692,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 83:[9, 92, 85], Operations: ['59+26=85']
Exploring Operation: 9+85=94, Resulting Numbers: [92, 94]
Generated Node #0,2,0: 83:[92, 94] Operation: 9+85=94
Exploring Operation: 92-9=83, Resulting Numbers: [85, 83]
Generated Node #0,2,1: 83:[85, 83] Operation: 92-9=83
Exploring Operation: 85-9=76, Resulting Numbers: [92, 76]
Generated Node #0,2,2: 83:[92, 76] Operation: 85-9=76
Exploring Operation: 92-85=7, Resulting Numbers: [9, 7]
Generated Node #0,2,3: 83:[9, 7] Operation: 92-85=7
Exploring Operation: 9+92=101, Resulting Numbers: [85, 101]
Generated Node #0,2,4: 83:[85, 101] Operation: 9+92=101
Moving to Node #0,3
Current State: 83:[26, 92, 50], Operations: ['59-9=50']
Exploring Operation: 26+92=118, Resulting Numbers: [50, 118]
Generated Node #0,3,0: 83:[50, 118] Operation: 26+92=118
Exploring Operation: 50-26=24, Resulting Numbers: [92, 24]
Generated Node #0,3,1: 83:[92, 24] Operation: 50-26=24
Exploring Operation: 26+50=76, Resulting Numbers: [92, 76]
Generated Node #0,3,2: 83:[92, 76] Operation: 26+50=76
Exploring Operation: 92-50=42, Resulting Numbers: [26, 42]
Generated Node #0,3,3: 83:[26, 42] Operation: 92-50=42
Exploring Operation: 92-26=66, Resulting Numbers: [50, 66]
Generated Node #0,3,4: 83:[50, 66] Operation: 92-26=66
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 83:[92, 76], Operations: ['59-9=50', '26+50=76']
Exploring Operation: 92-76=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 92+76=168, Resulting Numbers: [168]
168,83 unequal: No Solution
Exploring Operation: 92*76=6992, Resulting Numbers: [6992]
6992,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 83:[50, 66], Operations: ['59-9=50', '92-26=66']
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 50*66=3300, Resulting Numbers: [3300]
3300,83 unequal: No Solution
Exploring Operation: 50+66=116, Resulting Numbers: [116]
116,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[50, 118], Operations: ['59-9=50', '26+92=118']
Exploring Operation: 118-50=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Exploring Operation: 50+118=168, Resulting Numbers: [168]
168,83 unequal: No Solution
Exploring Operation: 50*118=5900, Resulting Numbers: [5900]
5900,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 83:[92, 24], Operations: ['59-9=50', '50-26=24']
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 83:[26, 42], Operations: ['59-9=50', '92-50=42']
Exploring Operation: 26*42=1092, Resulting Numbers: [1092]
1092,83 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 26+42=68, Resulting Numbers: [68]
68,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 83:[85, 83], Operations: ['59+26=85', '92-9=83']
Exploring Operation: 85*83=7055, Resulting Numbers: [7055]
7055,83 unequal: No Solution
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[92, 76], Operations: ['59+26=85', '85-9=76']
Exploring Operation: 92*76=6992, Resulting Numbers: [6992]
6992,83 unequal: No Solution
Exploring Operation: 92-76=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 92+76=168, Resulting Numbers: [168]
168,83 unequal: No Solution
Moving to Node #0,4,0
Current State: 83:[92, 94], Operations: ['9+26=35', '59+35=94']
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[92, 94], Operations: ['59+26=85', '9+85=94']
Exploring Operation: 92*94=8648, Resulting Numbers: [8648]
8648,83 unequal: No Solution
Exploring Operation: 94-92=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 92+94=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[85, 101], Operations: ['59+26=85', '9+92=101']
Exploring Operation: 101-85=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 85+101=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 85*101=8585, Resulting Numbers: [8585]
8585,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[59, 57], Operations: ['9+26=35', '92-35=57']
Exploring Operation: 59-57=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 59+57=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 59*57=3363, Resulting Numbers: [3363]
3363,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[59, 127], Operations: ['9+26=35', '92+35=127']
Exploring Operation: 59+127=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 127-59=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Exploring Operation: 59*127=7493, Resulting Numbers: [7493]
7493,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[92, 24], Operations: ['9+26=35', '59-35=24']
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,83 unequal: No Solution
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,83 unequal: No Solution
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[35, 33], Operations: ['9+26=35', '92-59=33']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,83 unequal: No Solution
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[9, 7], Operations: ['59+26=85', '92-85=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,83 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
61,
52,
32,
33
] | 56 | [
"61-52=9",
"32+33=65",
"65-9=56"
] | Current State: 56:[61, 52, 32, 33], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [32, 33, 9]
Generated Node #2: [32, 33, 9] from Operation: 61-52=9
Current State: 56:[32, 33, 9], Operations: ['61-52=9']
Exploring Operation: 32+33=65, Resulting Numbers: [9, 65]
Generated Node #3: [9, 65] from Operation: 32+33=65
Current State: 56:[9, 65], Operations: ['61-52=9', '32+33=65']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[61, 52, 32, 33], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [32, 33, 9]
Generated Node #0,0: 56:[32, 33, 9] Operation: 61-52=9
Exploring Operation: 61-32=29, Resulting Numbers: [52, 33, 29]
Generated Node #0,1: 56:[52, 33, 29] Operation: 61-32=29
Exploring Operation: 61-33=28, Resulting Numbers: [52, 32, 28]
Generated Node #0,2: 56:[52, 32, 28] Operation: 61-33=28
Moving to Node #0,2
Current State: 56:[52, 32, 28], Operations: ['61-33=28']
Exploring Operation: 32-28=4, Resulting Numbers: [52, 4]
Generated Node #0,2,0: 56:[52, 4] Operation: 32-28=4
Exploring Operation: 52-28=24, Resulting Numbers: [32, 24]
Generated Node #0,2,1: 56:[32, 24] Operation: 52-28=24
Exploring Operation: 52-32=20, Resulting Numbers: [28, 20]
Generated Node #0,2,2: 56:[28, 20] Operation: 52-32=20
Moving to Node #0,0
Current State: 56:[32, 33, 9], Operations: ['61-52=9']
Exploring Operation: 32+33=65, Resulting Numbers: [9, 65]
Generated Node #0,0,0: 56:[9, 65] Operation: 32+33=65
Exploring Operation: 33-32=1, Resulting Numbers: [9, 1]
Generated Node #0,0,1: 56:[9, 1] Operation: 33-32=1
Exploring Operation: 33-9=24, Resulting Numbers: [32, 24]
Generated Node #0,0,2: 56:[32, 24] Operation: 33-9=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[9, 1], Operations: ['61-52=9', '33-32=1']
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[32, 24], Operations: ['61-52=9', '33-9=24']
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,56 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[61, 52, 32, 33], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [32, 33, 9]
Generated Node #0,0: 56:[32, 33, 9] Operation: 61-52=9
Moving to Node #0,0
Current State: 56:[32, 33, 9], Operations: ['61-52=9']
Exploring Operation: 33-9=24, Resulting Numbers: [32, 24]
Generated Node #0,0,2: 56:[32, 24] Operation: 33-9=24
Moving to Node #0,0,2
Current State: 56:[32, 24], Operations: ['61-52=9', '33-9=24']
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
33,
39,
2,
20
] | 13 | [
"39-33=6",
"20+6=26",
"26/2=13"
] | Current State: 13:[33, 39, 2, 20], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [2, 20, 6]
Generated Node #2: [2, 20, 6] from Operation: 39-33=6
Current State: 13:[2, 20, 6], Operations: ['39-33=6']
Exploring Operation: 20+6=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 20+6=26
Current State: 13:[2, 26], Operations: ['39-33=6', '20+6=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[33, 39, 2, 20], Operations: []
Exploring Operation: 33-20=13, Resulting Numbers: [39, 2, 13]
Generated Node #0,0: 13:[39, 2, 13] Operation: 33-20=13
Exploring Operation: 20/2=10, Resulting Numbers: [33, 39, 10]
Generated Node #0,1: 13:[33, 39, 10] Operation: 20/2=10
Exploring Operation: 39-33=6, Resulting Numbers: [2, 20, 6]
Generated Node #0,2: 13:[2, 20, 6] Operation: 39-33=6
Exploring Operation: 39-20=19, Resulting Numbers: [33, 2, 19]
Generated Node #0,3: 13:[33, 2, 19] Operation: 39-20=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[2, 20, 6], Operations: ['39-33=6']
Exploring Operation: 2+6=8, Resulting Numbers: [20, 8]
Generated Node #0,2,0: 13:[20, 8] Operation: 2+6=8
Exploring Operation: 20-2=18, Resulting Numbers: [6, 18]
Generated Node #0,2,1: 13:[6, 18] Operation: 20-2=18
Exploring Operation: 2*6=12, Resulting Numbers: [20, 12]
Generated Node #0,2,2: 13:[20, 12] Operation: 2*6=12
Exploring Operation: 20/2=10, Resulting Numbers: [6, 10]
Generated Node #0,2,3: 13:[6, 10] Operation: 20/2=10
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 13:[20, 12], Operations: ['39-33=6', '2*6=12']
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,13 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,13 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,13 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:[6, 10], Operations: ['39-33=6', '20/2=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,13 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,13 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:[20, 8], Operations: ['39-33=6', '2+6=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 20*8=160, Resulting Numbers: [160]
160,13 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,13 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:[6, 18], Operations: ['39-33=6', '20-2=18']
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,13 unequal: No Solution
Exploring Operation: 18-6=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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[39, 2, 13], Operations: ['33-20=13']
Exploring Operation: 39-13=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 13:[2, 26] Operation: 39-13=26
Exploring Operation: 39-2=37, Resulting Numbers: [13, 37]
Generated Node #0,0,1: 13:[13, 37] Operation: 39-2=37
Exploring Operation: 39/13=3, Resulting Numbers: [2, 3]
Generated Node #0,0,2: 13:[2, 3] Operation: 39/13=3
Exploring Operation: 39+2=41, Resulting Numbers: [13, 41]
Generated Node #0,0,3: 13:[13, 41] Operation: 39+2=41
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 13:[2, 3], Operations: ['33-20=13', '39/13=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,13 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 #0,0,0
Current State: 13:[2, 26], Operations: ['33-20=13', '39-13=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[33, 39, 2, 20], Operations: []
Exploring Operation: 33-20=13, Resulting Numbers: [39, 2, 13]
Generated Node #0,0: 13:[39, 2, 13] Operation: 33-20=13
Moving to Node #0,0
Current State: 13:[39, 2, 13], Operations: ['33-20=13']
Exploring Operation: 39-13=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 13:[2, 26] Operation: 39-13=26
Moving to Node #0,0,0
Current State: 13:[2, 26], Operations: ['33-20=13', '39-13=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
40,
98,
3,
34
] | 96 | [
"40-34=6",
"6/3=2",
"98-2=96"
] | Current State: 96:[40, 98, 3, 34], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [98, 3, 6]
Generated Node #2: [98, 3, 6] from Operation: 40-34=6
Current State: 96:[98, 3, 6], Operations: ['40-34=6']
Exploring Operation: 6/3=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 6/3=2
Current State: 96:[98, 2], Operations: ['40-34=6', '6/3=2']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[40, 98, 3, 34], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [98, 3, 6]
Generated Node #0,0: 96:[98, 3, 6] Operation: 40-34=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[98, 3, 6], Operations: ['40-34=6']
Exploring Operation: 98-3=95, Resulting Numbers: [6, 95]
Generated Node #0,0,0: 96:[6, 95] Operation: 98-3=95
Moving to Node #0,0,0
Current State: 96:[6, 95], Operations: ['40-34=6', '98-3=95']
Exploring Operation: 6+95=101, Resulting Numbers: [101]
101,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
61,
10,
68,
50
] | 67 | [
"61-10=51",
"68+50=118",
"118-51=67"
] | Current State: 67:[61, 10, 68, 50], Operations: []
Exploring Operation: 61-10=51, Resulting Numbers: [68, 50, 51]
Generated Node #2: [68, 50, 51] from Operation: 61-10=51
Current State: 67:[68, 50, 51], Operations: ['61-10=51']
Exploring Operation: 68+50=118, Resulting Numbers: [51, 118]
Generated Node #3: [51, 118] from Operation: 68+50=118
Current State: 67:[51, 118], Operations: ['61-10=51', '68+50=118']
Exploring Operation: 118-51=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[61, 10, 68, 50], Operations: []
Exploring Operation: 10+50=60, Resulting Numbers: [61, 68, 60]
Generated Node #0,0: 67:[61, 68, 60] Operation: 10+50=60
Moving to Node #0,0
Current State: 67:[61, 68, 60], Operations: ['10+50=60']
Exploring Operation: 61+60=121, Resulting Numbers: [68, 121]
Generated Node #0,0,0: 67:[68, 121] Operation: 61+60=121
Moving to Node #0,0,0
Current State: 67:[68, 121], Operations: ['10+50=60', '61+60=121']
Exploring Operation: 121-68=53, Resulting Numbers: [53]
53,67 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
23,
24,
93,
22
] | 66 | [
"93-24=69",
"69/23=3",
"22*3=66"
] | Current State: 66:[23, 24, 93, 22], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [23, 22, 69]
Generated Node #2: [23, 22, 69] from Operation: 93-24=69
Current State: 66:[23, 22, 69], Operations: ['93-24=69']
Exploring Operation: 69/23=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 69/23=3
Current State: 66:[22, 3], Operations: ['93-24=69', '69/23=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[23, 24, 93, 22], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [23, 22, 69]
Generated Node #0,0: 66:[23, 22, 69] Operation: 93-24=69
Exploring Operation: 24-22=2, Resulting Numbers: [23, 93, 2]
Generated Node #0,1: 66:[23, 93, 2] Operation: 24-22=2
Exploring Operation: 93-22=71, Resulting Numbers: [23, 24, 71]
Generated Node #0,2: 66:[23, 24, 71] Operation: 93-22=71
Exploring Operation: 93-23=70, Resulting Numbers: [24, 22, 70]
Generated Node #0,3: 66:[24, 22, 70] Operation: 93-23=70
Exploring Operation: 24-23=1, Resulting Numbers: [93, 22, 1]
Generated Node #0,4: 66:[93, 22, 1] Operation: 24-23=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[23, 22, 69], Operations: ['93-24=69']
Exploring Operation: 69-22=47, Resulting Numbers: [23, 47]
Generated Node #0,0,0: 66:[23, 47] Operation: 69-22=47
Exploring Operation: 23-22=1, Resulting Numbers: [69, 1]
Generated Node #0,0,1: 66:[69, 1] Operation: 23-22=1
Exploring Operation: 69/23=3, Resulting Numbers: [22, 3]
Generated Node #0,0,2: 66:[22, 3] Operation: 69/23=3
Exploring Operation: 23+22=45, Resulting Numbers: [69, 45]
Generated Node #0,0,3: 66:[69, 45] Operation: 23+22=45
Exploring Operation: 69-23=46, Resulting Numbers: [22, 46]
Generated Node #0,0,4: 66:[22, 46] Operation: 69-23=46
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[22, 3], Operations: ['93-24=69', '69/23=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[23, 24, 93, 22], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [23, 22, 69]
Generated Node #0,0: 66:[23, 22, 69] Operation: 93-24=69
Moving to Node #0,0
Current State: 66:[23, 22, 69], Operations: ['93-24=69']
Exploring Operation: 69/23=3, Resulting Numbers: [22, 3]
Generated Node #0,0,2: 66:[22, 3] Operation: 69/23=3
Moving to Node #0,0,2
Current State: 66:[22, 3], Operations: ['93-24=69', '69/23=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
47,
47,
69,
17
] | 52 | [
"47-47=0",
"69-17=52",
"0+52=52"
] | Current State: 52:[47, 47, 69, 17], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [69, 17, 0]
Generated Node #2: [69, 17, 0] from Operation: 47-47=0
Current State: 52:[69, 17, 0], Operations: ['47-47=0']
Exploring Operation: 69-17=52, Resulting Numbers: [0, 52]
Generated Node #3: [0, 52] from Operation: 69-17=52
Current State: 52:[0, 52], Operations: ['47-47=0', '69-17=52']
Exploring Operation: 0+52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[47, 47, 69, 17], Operations: []
Exploring Operation: 47-47=0, Resulting Numbers: [69, 17, 0]
Generated Node #0,0: 52:[69, 17, 0] Operation: 47-47=0
Exploring Operation: 47/47=1, Resulting Numbers: [69, 17, 1]
Generated Node #0,1: 52:[69, 17, 1] Operation: 47/47=1
Exploring Operation: 69-47=22, Resulting Numbers: [47, 17, 22]
Generated Node #0,2: 52:[47, 17, 22] Operation: 69-47=22
Exploring Operation: 69-47=22, Resulting Numbers: [47, 17, 22]
Generated Node #0,3: 52:[47, 17, 22] Operation: 69-47=22
Exploring Operation: 69-17=52, Resulting Numbers: [47, 47, 52]
Generated Node #0,4: 52:[47, 47, 52] Operation: 69-17=52
Moving to Node #0,4
Current State: 52:[47, 47, 52], Operations: ['69-17=52']
Exploring Operation: 52-47=5, Resulting Numbers: [47, 5]
Generated Node #0,4,0: 52:[47, 5] Operation: 52-47=5
Exploring Operation: 47/47=1, Resulting Numbers: [52, 1]
Generated Node #0,4,1: 52:[52, 1] Operation: 47/47=1
Exploring Operation: 52-47=5, Resulting Numbers: [47, 5]
Generated Node #0,4,2: 52:[47, 5] Operation: 52-47=5
Exploring Operation: 47-47=0, Resulting Numbers: [52, 0]
Generated Node #0,4,3: 52:[52, 0] Operation: 47-47=0
Exploring Operation: 47+47=94, Resulting Numbers: [52, 94]
Generated Node #0,4,4: 52:[52, 94] Operation: 47+47=94
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 52:[52, 1], Operations: ['69-17=52', '47/47=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[47, 47, 69, 17], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [47, 47, 52]
Generated Node #0,4: 52:[47, 47, 52] Operation: 69-17=52
Moving to Node #0,4
Current State: 52:[47, 47, 52], Operations: ['69-17=52']
Exploring Operation: 47/47=1, Resulting Numbers: [52, 1]
Generated Node #0,4,1: 52:[52, 1] Operation: 47/47=1
Moving to Node #0,4,1
Current State: 52:[52, 1], Operations: ['69-17=52', '47/47=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
22,
14,
6,
23
] | 21 | [
"22-14=8",
"6+23=29",
"29-8=21"
] | Current State: 21:[22, 14, 6, 23], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [6, 23, 8]
Generated Node #2: [6, 23, 8] from Operation: 22-14=8
Current State: 21:[6, 23, 8], Operations: ['22-14=8']
Exploring Operation: 6+23=29, Resulting Numbers: [8, 29]
Generated Node #3: [8, 29] from Operation: 6+23=29
Current State: 21:[8, 29], Operations: ['22-14=8', '6+23=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[22, 14, 6, 23], Operations: []
Exploring Operation: 23-14=9, Resulting Numbers: [22, 6, 9]
Generated Node #0,0: 21:[22, 6, 9] Operation: 23-14=9
Exploring Operation: 22-14=8, Resulting Numbers: [6, 23, 8]
Generated Node #0,1: 21:[6, 23, 8] Operation: 22-14=8
Exploring Operation: 14-6=8, Resulting Numbers: [22, 23, 8]
Generated Node #0,2: 21:[22, 23, 8] Operation: 14-6=8
Exploring Operation: 14+6=20, Resulting Numbers: [22, 23, 20]
Generated Node #0,3: 21:[22, 23, 20] Operation: 14+6=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[22, 6, 9], Operations: ['23-14=9']
Exploring Operation: 9-6=3, Resulting Numbers: [22, 3]
Generated Node #0,0,0: 21:[22, 3] Operation: 9-6=3
Exploring Operation: 22-6=16, Resulting Numbers: [9, 16]
Generated Node #0,0,1: 21:[9, 16] Operation: 22-6=16
Exploring Operation: 22-9=13, Resulting Numbers: [6, 13]
Generated Node #0,0,2: 21:[6, 13] Operation: 22-9=13
Exploring Operation: 6+9=15, Resulting Numbers: [22, 15]
Generated Node #0,0,3: 21:[22, 15] Operation: 6+9=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[22, 3], Operations: ['23-14=9', '9-6=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,21 unequal: No Solution
No 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: 21:[9, 16], Operations: ['23-14=9', '22-6=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,21 unequal: No Solution
No 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: 21:[6, 13], Operations: ['23-14=9', '22-9=13']
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,21 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,21 unequal: No Solution
No 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: 21:[22, 15], Operations: ['23-14=9', '6+9=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,21 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,21 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: 21:[6, 23, 8], Operations: ['22-14=8']
Exploring Operation: 6+23=29, Resulting Numbers: [8, 29]
Generated Node #0,1,0: 21:[8, 29] Operation: 6+23=29
Exploring Operation: 23-8=15, Resulting Numbers: [6, 15]
Generated Node #0,1,1: 21:[6, 15] Operation: 23-8=15
Exploring Operation: 23-6=17, Resulting Numbers: [8, 17]
Generated Node #0,1,2: 21:[8, 17] Operation: 23-6=17
Exploring Operation: 8-6=2, Resulting Numbers: [23, 2]
Generated Node #0,1,3: 21:[23, 2] Operation: 8-6=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 21:[23, 2], Operations: ['22-14=8', '8-6=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[22, 14, 6, 23], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [6, 23, 8]
Generated Node #0,1: 21:[6, 23, 8] Operation: 22-14=8
Moving to Node #0,1
Current State: 21:[6, 23, 8], Operations: ['22-14=8']
Exploring Operation: 8-6=2, Resulting Numbers: [23, 2]
Generated Node #0,1,3: 21:[23, 2] Operation: 8-6=2
Moving to Node #0,1,3
Current State: 21:[23, 2], Operations: ['22-14=8', '8-6=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
10,
71,
61,
58
] | 38 | [
"10+71=81",
"61+58=119",
"119-81=38"
] | Current State: 38:[10, 71, 61, 58], Operations: []
Exploring Operation: 10+71=81, Resulting Numbers: [61, 58, 81]
Generated Node #2: [61, 58, 81] from Operation: 10+71=81
Current State: 38:[61, 58, 81], Operations: ['10+71=81']
Exploring Operation: 61+58=119, Resulting Numbers: [81, 119]
Generated Node #3: [81, 119] from Operation: 61+58=119
Current State: 38:[81, 119], Operations: ['10+71=81', '61+58=119']
Exploring Operation: 119-81=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[10, 71, 61, 58], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [10, 61, 13]
Generated Node #0,0: 38:[10, 61, 13] Operation: 71-58=13
Exploring Operation: 71-61=10, Resulting Numbers: [10, 58, 10]
Generated Node #0,1: 38:[10, 58, 10] Operation: 71-61=10
Exploring Operation: 61-58=3, Resulting Numbers: [10, 71, 3]
Generated Node #0,2: 38:[10, 71, 3] Operation: 61-58=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[10, 58, 10], Operations: ['71-61=10']
Exploring Operation: 58-10=48, Resulting Numbers: [10, 48]
Generated Node #0,1,0: 38:[10, 48] Operation: 58-10=48
Exploring Operation: 58-10=48, Resulting Numbers: [10, 48]
Generated Node #0,1,1: 38:[10, 48] Operation: 58-10=48
Exploring Operation: 10+10=20, Resulting Numbers: [58, 20]
Generated Node #0,1,2: 38:[58, 20] Operation: 10+10=20
Moving to Node #0,1,0
Current State: 38:[10, 48], Operations: ['71-61=10', '58-10=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[10, 71, 61, 58], Operations: []
Exploring Operation: 71-61=10, Resulting Numbers: [10, 58, 10]
Generated Node #0,1: 38:[10, 58, 10] Operation: 71-61=10
Moving to Node #0,1
Current State: 38:[10, 58, 10], Operations: ['71-61=10']
Exploring Operation: 58-10=48, Resulting Numbers: [10, 48]
Generated Node #0,1,0: 38:[10, 48] Operation: 58-10=48
Moving to Node #0,1,0
Current State: 38:[10, 48], Operations: ['71-61=10', '58-10=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
61,
76,
13,
58
] | 56 | [
"76-61=15",
"13+58=71",
"71-15=56"
] | Current State: 56:[61, 76, 13, 58], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [13, 58, 15]
Generated Node #2: [13, 58, 15] from Operation: 76-61=15
Current State: 56:[13, 58, 15], Operations: ['76-61=15']
Exploring Operation: 13+58=71, Resulting Numbers: [15, 71]
Generated Node #3: [15, 71] from Operation: 13+58=71
Current State: 56:[15, 71], Operations: ['76-61=15', '13+58=71']
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[61, 76, 13, 58], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [13, 58, 15]
Generated Node #0,0: 56:[13, 58, 15] Operation: 76-61=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[13, 58, 15], Operations: ['76-61=15']
Exploring Operation: 13+15=28, Resulting Numbers: [58, 28]
Generated Node #0,0,0: 56:[58, 28] Operation: 13+15=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[58, 28], Operations: ['76-61=15', '13+15=28']
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
23,
11,
32,
89
] | 26 | [
"89-23=66",
"66/11=6",
"32-6=26"
] | Current State: 26:[23, 11, 32, 89], Operations: []
Exploring Operation: 89-23=66, Resulting Numbers: [11, 32, 66]
Generated Node #2: [11, 32, 66] from Operation: 89-23=66
Current State: 26:[11, 32, 66], Operations: ['89-23=66']
Exploring Operation: 66/11=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 66/11=6
Current State: 26:[32, 6], Operations: ['89-23=66', '66/11=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[23, 11, 32, 89], Operations: []
Exploring Operation: 89-23=66, Resulting Numbers: [11, 32, 66]
Generated Node #0,0: 26:[11, 32, 66] Operation: 89-23=66
Exploring Operation: 89-32=57, Resulting Numbers: [23, 11, 57]
Generated Node #0,1: 26:[23, 11, 57] Operation: 89-32=57
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[23, 11, 57], Operations: ['89-32=57']
Exploring Operation: 57-11=46, Resulting Numbers: [23, 46]
Generated Node #0,1,0: 26:[23, 46] Operation: 57-11=46
Exploring Operation: 57-23=34, Resulting Numbers: [11, 34]
Generated Node #0,1,1: 26:[11, 34] Operation: 57-23=34
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[11, 34], Operations: ['89-32=57', '57-23=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,26 unequal: No Solution
No 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: 26:[23, 46], Operations: ['89-32=57', '57-11=46']
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,26 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: 26:[11, 32, 66], Operations: ['89-23=66']
Exploring Operation: 66-32=34, Resulting Numbers: [11, 34]
Generated Node #0,0,0: 26:[11, 34] Operation: 66-32=34
Exploring Operation: 66/11=6, Resulting Numbers: [32, 6]
Generated Node #0,0,1: 26:[32, 6] Operation: 66/11=6
Moving to Node #0,0,0
Current State: 26:[11, 34], Operations: ['89-23=66', '66-32=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[32, 6], Operations: ['89-23=66', '66/11=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[23, 11, 32, 89], Operations: []
Exploring Operation: 89-23=66, Resulting Numbers: [11, 32, 66]
Generated Node #0,0: 26:[11, 32, 66] Operation: 89-23=66
Moving to Node #0,0
Current State: 26:[11, 32, 66], Operations: ['89-23=66']
Exploring Operation: 66/11=6, Resulting Numbers: [32, 6]
Generated Node #0,0,1: 26:[32, 6] Operation: 66/11=6
Moving to Node #0,0,1
Current State: 26:[32, 6], Operations: ['89-23=66', '66/11=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
29,
69,
11,
46
] | 97 | [
"69-29=40",
"11+46=57",
"40+57=97"
] | Current State: 97:[29, 69, 11, 46], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [11, 46, 40]
Generated Node #2: [11, 46, 40] from Operation: 69-29=40
Current State: 97:[11, 46, 40], Operations: ['69-29=40']
Exploring Operation: 11+46=57, Resulting Numbers: [40, 57]
Generated Node #3: [40, 57] from Operation: 11+46=57
Current State: 97:[40, 57], Operations: ['69-29=40', '11+46=57']
Exploring Operation: 40+57=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[29, 69, 11, 46], Operations: []
Exploring Operation: 29+46=75, Resulting Numbers: [69, 11, 75]
Generated Node #0,0: 97:[69, 11, 75] Operation: 29+46=75
Exploring Operation: 29+11=40, Resulting Numbers: [69, 46, 40]
Generated Node #0,1: 97:[69, 46, 40] Operation: 29+11=40
Moving to Node #0,0
Current State: 97:[69, 11, 75], Operations: ['29+46=75']
Exploring Operation: 69+11=80, Resulting Numbers: [75, 80]
Generated Node #0,0,0: 97:[75, 80] Operation: 69+11=80
Exploring Operation: 11+75=86, Resulting Numbers: [69, 86]
Generated Node #0,0,1: 97:[69, 86] Operation: 11+75=86
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[75, 80], Operations: ['29+46=75', '69+11=80']
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 75+80=155, Resulting Numbers: [155]
155,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[69, 86], Operations: ['29+46=75', '11+75=86']
Exploring Operation: 69+86=155, Resulting Numbers: [155]
155,97 unequal: No Solution
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 97:[69, 46, 40], Operations: ['29+11=40']
Exploring Operation: 69+40=109, Resulting Numbers: [46, 109]
Generated Node #0,1,0: 97:[46, 109] Operation: 69+40=109
Exploring Operation: 46+40=86, Resulting Numbers: [69, 86]
Generated Node #0,1,1: 97:[69, 86] Operation: 46+40=86
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[69, 86], Operations: ['29+11=40', '46+40=86']
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 69+86=155, Resulting Numbers: [155]
155,97 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 #0,1,0
Current State: 97:[46, 109], Operations: ['29+11=40', '69+40=109']
Exploring Operation: 46+109=155, Resulting Numbers: [155]
155,97 unequal: No Solution
Exploring Operation: 109-46=63, Resulting Numbers: [63]
63,97 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 |
[
74,
19,
33,
22
] | 62 | [
"74+19=93",
"22*93=2046",
"2046/33=62"
] | Current State: 62:[74, 19, 33, 22], Operations: []
Exploring Operation: 74+19=93, Resulting Numbers: [33, 22, 93]
Generated Node #2: [33, 22, 93] from Operation: 74+19=93
Current State: 62:[33, 22, 93], Operations: ['74+19=93']
Exploring Operation: 22*93=2046, Resulting Numbers: [33, 2046]
Generated Node #3: [33, 2046] from Operation: 22*93=2046
Current State: 62:[33, 2046], Operations: ['74+19=93', '22*93=2046']
Exploring Operation: 2046/33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[74, 19, 33, 22], Operations: []
Exploring Operation: 74-19=55, Resulting Numbers: [33, 22, 55]
Generated Node #0,0: 62:[33, 22, 55] Operation: 74-19=55
Exploring Operation: 22-19=3, Resulting Numbers: [74, 33, 3]
Generated Node #0,1: 62:[74, 33, 3] Operation: 22-19=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[74, 33, 3], Operations: ['22-19=3']
Exploring Operation: 74-3=71, Resulting Numbers: [33, 71]
Generated Node #0,1,0: 62:[33, 71] Operation: 74-3=71
Exploring Operation: 74-33=41, Resulting Numbers: [3, 41]
Generated Node #0,1,1: 62:[3, 41] Operation: 74-33=41
Moving to Node #0,1,0
Current State: 62:[33, 71], Operations: ['22-19=3', '74-3=71']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[3, 41], Operations: ['22-19=3', '74-33=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,62 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,62 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 #0,0
Current State: 62:[33, 22, 55], Operations: ['74-19=55']
Exploring Operation: 55-22=33, Resulting Numbers: [33, 33]
Generated Node #0,0,0: 62:[33, 33] Operation: 55-22=33
Exploring Operation: 33+22=55, Resulting Numbers: [55, 55]
Generated Node #0,0,1: 62:[55, 55] Operation: 33+22=55
Moving to Node #0,0,0
Current State: 62:[33, 33], Operations: ['74-19=55', '55-22=33']
Exploring Operation: 33-33=0, Resulting Numbers: [0]
0,62 unequal: No Solution
Exploring Operation: 33/33=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Moving to Node #0,0,1
Current State: 62:[55, 55], Operations: ['74-19=55', '33+22=55']
Exploring Operation: 55-55=0, Resulting Numbers: [0]
0,62 unequal: No Solution
Exploring Operation: 55/55=1, Resulting Numbers: [1]
1,62 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 |
[
8,
33,
40,
72
] | 100 | [
"40/8=5",
"33+72=105",
"105-5=100"
] | Current State: 100:[8, 33, 40, 72], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [33, 72, 5]
Generated Node #2: [33, 72, 5] from Operation: 40/8=5
Current State: 100:[33, 72, 5], Operations: ['40/8=5']
Exploring Operation: 33+72=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 33+72=105
Current State: 100:[5, 105], Operations: ['40/8=5', '33+72=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[8, 33, 40, 72], Operations: []
Exploring Operation: 33+72=105, Resulting Numbers: [8, 40, 105]
Generated Node #0,0: 100:[8, 40, 105] Operation: 33+72=105
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[8, 40, 105], Operations: ['33+72=105']
Exploring Operation: 40/8=5, Resulting Numbers: [105, 5]
Generated Node #0,0,0: 100:[105, 5] Operation: 40/8=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[105, 5], Operations: ['33+72=105', '40/8=5']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[8, 33, 40, 72], Operations: []
Exploring Operation: 33+72=105, Resulting Numbers: [8, 40, 105]
Generated Node #0,0: 100:[8, 40, 105] Operation: 33+72=105
Moving to Node #0,0
Current State: 100:[8, 40, 105], Operations: ['33+72=105']
Exploring Operation: 40/8=5, Resulting Numbers: [105, 5]
Generated Node #0,0,0: 100:[105, 5] Operation: 40/8=5
Moving to Node #0,0,0
Current State: 100:[105, 5], Operations: ['33+72=105', '40/8=5']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
61,
8,
52,
78
] | 79 | [
"61-8=53",
"78-52=26",
"53+26=79"
] | Current State: 79:[61, 8, 52, 78], Operations: []
Exploring Operation: 61-8=53, Resulting Numbers: [52, 78, 53]
Generated Node #2: [52, 78, 53] from Operation: 61-8=53
Current State: 79:[52, 78, 53], Operations: ['61-8=53']
Exploring Operation: 78-52=26, Resulting Numbers: [53, 26]
Generated Node #3: [53, 26] from Operation: 78-52=26
Current State: 79:[53, 26], Operations: ['61-8=53', '78-52=26']
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[61, 8, 52, 78], Operations: []
Exploring Operation: 61+8=69, Resulting Numbers: [52, 78, 69]
Generated Node #0,0: 79:[52, 78, 69] Operation: 61+8=69
Moving to Node #0,0
Current State: 79:[52, 78, 69], Operations: ['61+8=69']
Exploring Operation: 52+69=121, Resulting Numbers: [78, 121]
Generated Node #0,0,0: 79:[78, 121] Operation: 52+69=121
Moving to Node #0,0,0
Current State: 79:[78, 121], Operations: ['61+8=69', '52+69=121']
Exploring Operation: 121-78=43, Resulting Numbers: [43]
43,79 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
49,
54,
73,
23
] | 54 | [
"73-49=24",
"24-23=1",
"54*1=54"
] | Current State: 54:[49, 54, 73, 23], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [54, 23, 24]
Generated Node #2: [54, 23, 24] from Operation: 73-49=24
Current State: 54:[54, 23, 24], Operations: ['73-49=24']
Exploring Operation: 24-23=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 24-23=1
Current State: 54:[54, 1], Operations: ['73-49=24', '24-23=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[49, 54, 73, 23], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [73, 23, 5]
Generated Node #0,0: 54:[73, 23, 5] Operation: 54-49=5
Exploring Operation: 49-23=26, Resulting Numbers: [54, 73, 26]
Generated Node #0,1: 54:[54, 73, 26] Operation: 49-23=26
Exploring Operation: 73-54=19, Resulting Numbers: [49, 23, 19]
Generated Node #0,2: 54:[49, 23, 19] Operation: 73-54=19
Exploring Operation: 73-23=50, Resulting Numbers: [49, 54, 50]
Generated Node #0,3: 54:[49, 54, 50] Operation: 73-23=50
Exploring Operation: 73-49=24, Resulting Numbers: [54, 23, 24]
Generated Node #0,4: 54:[54, 23, 24] Operation: 73-49=24
Start Sub Search at level 1: Moving to Node #0,4
Current State: 54:[54, 23, 24], Operations: ['73-49=24']
Exploring Operation: 24-23=1, Resulting Numbers: [54, 1]
Generated Node #0,4,0: 54:[54, 1] Operation: 24-23=1
Exploring Operation: 54-24=30, Resulting Numbers: [23, 30]
Generated Node #0,4,1: 54:[23, 30] Operation: 54-24=30
Exploring Operation: 54+23=77, Resulting Numbers: [24, 77]
Generated Node #0,4,2: 54:[24, 77] Operation: 54+23=77
Exploring Operation: 23+24=47, Resulting Numbers: [54, 47]
Generated Node #0,4,3: 54:[54, 47] Operation: 23+24=47
Exploring Operation: 54-23=31, Resulting Numbers: [24, 31]
Generated Node #0,4,4: 54:[24, 31] Operation: 54-23=31
Moving to Node #0,4,0
Current State: 54:[54, 1], Operations: ['73-49=24', '24-23=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[49, 54, 73, 23], Operations: []
Exploring Operation: 73-49=24, Resulting Numbers: [54, 23, 24]
Generated Node #0,4: 54:[54, 23, 24] Operation: 73-49=24
Moving to Node #0,4
Current State: 54:[54, 23, 24], Operations: ['73-49=24']
Exploring Operation: 24-23=1, Resulting Numbers: [54, 1]
Generated Node #0,4,0: 54:[54, 1] Operation: 24-23=1
Moving to Node #0,4,0
Current State: 54:[54, 1], Operations: ['73-49=24', '24-23=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
3,
53,
37,
38
] | 78 | [
"37+38=75",
"75/3=25",
"53+25=78"
] | Current State: 78:[3, 53, 37, 38], Operations: []
Exploring Operation: 37+38=75, Resulting Numbers: [3, 53, 75]
Generated Node #2: [3, 53, 75] from Operation: 37+38=75
Current State: 78:[3, 53, 75], Operations: ['37+38=75']
Exploring Operation: 75/3=25, Resulting Numbers: [53, 25]
Generated Node #3: [53, 25] from Operation: 75/3=25
Current State: 78:[53, 25], Operations: ['37+38=75', '75/3=25']
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[3, 53, 37, 38], Operations: []
Exploring Operation: 53+37=90, Resulting Numbers: [3, 38, 90]
Generated Node #0,0: 78:[3, 38, 90] Operation: 53+37=90
Exploring Operation: 53-37=16, Resulting Numbers: [3, 38, 16]
Generated Node #0,1: 78:[3, 38, 16] Operation: 53-37=16
Exploring Operation: 53-38=15, Resulting Numbers: [3, 37, 15]
Generated Node #0,2: 78:[3, 37, 15] Operation: 53-38=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[3, 38, 16], Operations: ['53-37=16']
Exploring Operation: 38-16=22, Resulting Numbers: [3, 22]
Generated Node #0,1,0: 78:[3, 22] Operation: 38-16=22
Exploring Operation: 3+38=41, Resulting Numbers: [16, 41]
Generated Node #0,1,1: 78:[16, 41] Operation: 3+38=41
Exploring Operation: 16-3=13, Resulting Numbers: [38, 13]
Generated Node #0,1,2: 78:[38, 13] Operation: 16-3=13
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 78:[38, 13], Operations: ['53-37=16', '16-3=13']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,78 unequal: No Solution
No 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: 78:[3, 22], Operations: ['53-37=16', '38-16=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,78 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,78 unequal: No Solution
No 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: 78:[16, 41], Operations: ['53-37=16', '3+38=41']
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,78 unequal: No Solution
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,78 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: 78:[3, 37, 15], Operations: ['53-38=15']
Exploring Operation: 15-3=12, Resulting Numbers: [37, 12]
Generated Node #0,2,0: 78:[37, 12] Operation: 15-3=12
Exploring Operation: 15/3=5, Resulting Numbers: [37, 5]
Generated Node #0,2,1: 78:[37, 5] Operation: 15/3=5
Exploring Operation: 3+37=40, Resulting Numbers: [15, 40]
Generated Node #0,2,2: 78:[15, 40] Operation: 3+37=40
Moving to Node #0,2,0
Current State: 78:[37, 12], Operations: ['53-38=15', '15-3=12']
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[37, 5], Operations: ['53-38=15', '15/3=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,78 unequal: No Solution
Exploring Operation: 37*5=185, Resulting Numbers: [185]
185,78 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[15, 40], Operations: ['53-38=15', '3+37=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,78 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[3, 38, 90], Operations: ['53+37=90']
Exploring Operation: 90-3=87, Resulting Numbers: [38, 87]
Generated Node #0,0,0: 78:[38, 87] Operation: 90-3=87
Exploring Operation: 90-38=52, Resulting Numbers: [3, 52]
Generated Node #0,0,1: 78:[3, 52] Operation: 90-38=52
Exploring Operation: 90/3=30, Resulting Numbers: [38, 30]
Generated Node #0,0,2: 78:[38, 30] Operation: 90/3=30
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 78:[38, 30], Operations: ['53+37=90', '90/3=30']
Exploring Operation: 38*30=1140, Resulting Numbers: [1140]
1140,78 unequal: No Solution
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,78 unequal: No Solution
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,78 unequal: No Solution
No 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: 78:[38, 87], Operations: ['53+37=90', '90-3=87']
Exploring Operation: 38+87=125, Resulting Numbers: [125]
125,78 unequal: No Solution
Exploring Operation: 38*87=3306, Resulting Numbers: [3306]
3306,78 unequal: No Solution
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,78 unequal: No Solution
No 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: 78:[3, 52], Operations: ['53+37=90', '90-38=52']
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,78 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
1,
9,
99,
3
] | 41 | [
"9-1=8",
"99/3=33",
"8+33=41"
] | Current State: 41:[1, 9, 99, 3], Operations: []
Exploring Operation: 9-1=8, Resulting Numbers: [99, 3, 8]
Generated Node #2: [99, 3, 8] from Operation: 9-1=8
Current State: 41:[99, 3, 8], Operations: ['9-1=8']
Exploring Operation: 99/3=33, Resulting Numbers: [8, 33]
Generated Node #3: [8, 33] from Operation: 99/3=33
Current State: 41:[8, 33], Operations: ['9-1=8', '99/3=33']
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[1, 9, 99, 3], Operations: []
Exploring Operation: 9*3=27, Resulting Numbers: [1, 99, 27]
Generated Node #0,0: 41:[1, 99, 27] Operation: 9*3=27
Exploring Operation: 99/9=11, Resulting Numbers: [1, 3, 11]
Generated Node #0,1: 41:[1, 3, 11] Operation: 99/9=11
Exploring Operation: 99/3=33, Resulting Numbers: [1, 9, 33]
Generated Node #0,2: 41:[1, 9, 33] Operation: 99/3=33
Moving to Node #0,2
Current State: 41:[1, 9, 33], Operations: ['99/3=33']
Exploring Operation: 1+33=34, Resulting Numbers: [9, 34]
Generated Node #0,2,0: 41:[9, 34] Operation: 1+33=34
Exploring Operation: 1*9=9, Resulting Numbers: [33, 9]
Generated Node #0,2,1: 41:[33, 9] Operation: 1*9=9
Exploring Operation: 1+9=10, Resulting Numbers: [33, 10]
Generated Node #0,2,2: 41:[33, 10] Operation: 1+9=10
Moving to Node #0,1
Current State: 41:[1, 3, 11], Operations: ['99/9=11']
Exploring Operation: 1+11=12, Resulting Numbers: [3, 12]
Generated Node #0,1,0: 41:[3, 12] Operation: 1+11=12
Exploring Operation: 1+3=4, Resulting Numbers: [11, 4]
Generated Node #0,1,1: 41:[11, 4] Operation: 1+3=4
Exploring Operation: 3*11=33, Resulting Numbers: [1, 33]
Generated Node #0,1,2: 41:[1, 33] Operation: 3*11=33
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[1, 33], Operations: ['99/9=11', '3*11=33']
Exploring Operation: 33/1=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[3, 12], Operations: ['99/9=11', '1+11=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,41 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[11, 4], Operations: ['99/9=11', '1+3=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,41 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: 41:[1, 99, 27], Operations: ['9*3=27']
Exploring Operation: 99-27=72, Resulting Numbers: [1, 72]
Generated Node #0,0,0: 41:[1, 72] Operation: 99-27=72
Exploring Operation: 99-1=98, Resulting Numbers: [27, 98]
Generated Node #0,0,1: 41:[27, 98] Operation: 99-1=98
Exploring Operation: 1+27=28, Resulting Numbers: [99, 28]
Generated Node #0,0,2: 41:[99, 28] Operation: 1+27=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[1, 72], Operations: ['9*3=27', '99-27=72']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 1*72=72, Resulting Numbers: [72]
72,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[27, 98], Operations: ['9*3=27', '99-1=98']
Exploring Operation: 27+98=125, Resulting Numbers: [125]
125,41 unequal: No Solution
Exploring Operation: 27*98=2646, Resulting Numbers: [2646]
2646,41 unequal: No Solution
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[99, 28], Operations: ['9*3=27', '1+27=28']
Exploring Operation: 99+28=127, Resulting Numbers: [127]
127,41 unequal: No Solution
Exploring Operation: 99-28=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 99*28=2772, Resulting Numbers: [2772]
2772,41 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: 41:[9, 34], Operations: ['99/3=33', '1+33=34']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,41 unequal: No Solution
Exploring Operation: 9+34=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 9*34=306, Resulting Numbers: [306]
306,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[33, 10], Operations: ['99/3=33', '1+9=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,41 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,41 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[33, 9], Operations: ['99/3=33', '1*9=9']
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,41 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,41 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
95,
87,
46,
63
] | 73 | [
"95+87=182",
"46+63=109",
"182-109=73"
] | Current State: 73:[95, 87, 46, 63], Operations: []
Exploring Operation: 95+87=182, Resulting Numbers: [46, 63, 182]
Generated Node #2: [46, 63, 182] from Operation: 95+87=182
Current State: 73:[46, 63, 182], Operations: ['95+87=182']
Exploring Operation: 46+63=109, Resulting Numbers: [182, 109]
Generated Node #3: [182, 109] from Operation: 46+63=109
Current State: 73:[182, 109], Operations: ['95+87=182', '46+63=109']
Exploring Operation: 182-109=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[95, 87, 46, 63], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [87, 63, 49]
Generated Node #0,0: 73:[87, 63, 49] Operation: 95-46=49
Moving to Node #0,0
Current State: 73:[87, 63, 49], Operations: ['95-46=49']
Exploring Operation: 87-49=38, Resulting Numbers: [63, 38]
Generated Node #0,0,0: 73:[63, 38] Operation: 87-49=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[63, 38], Operations: ['95-46=49', '87-49=38']
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,73 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 |
[
7,
31,
58,
37
] | 58 | [
"7+31=38",
"38-37=1",
"58*1=58"
] | Current State: 58:[7, 31, 58, 37], Operations: []
Exploring Operation: 7+31=38, Resulting Numbers: [58, 37, 38]
Generated Node #2: [58, 37, 38] from Operation: 7+31=38
Current State: 58:[58, 37, 38], Operations: ['7+31=38']
Exploring Operation: 38-37=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 38-37=1
Current State: 58:[58, 1], Operations: ['7+31=38', '38-37=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[7, 31, 58, 37], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [31, 58, 30]
Generated Node #0,0: 58:[31, 58, 30] Operation: 37-7=30
Exploring Operation: 37-31=6, Resulting Numbers: [7, 58, 6]
Generated Node #0,1: 58:[7, 58, 6] Operation: 37-31=6
Moving to Node #0,0
Current State: 58:[31, 58, 30], Operations: ['37-7=30']
Exploring Operation: 58-31=27, Resulting Numbers: [30, 27]
Generated Node #0,0,0: 58:[30, 27] Operation: 58-31=27
Exploring Operation: 31-30=1, Resulting Numbers: [58, 1]
Generated Node #0,0,1: 58:[58, 1] Operation: 31-30=1
Moving to Node #0,1
Current State: 58:[7, 58, 6], Operations: ['37-31=6']
Exploring Operation: 7-6=1, Resulting Numbers: [58, 1]
Generated Node #0,1,0: 58:[58, 1] Operation: 7-6=1
Exploring Operation: 7+58=65, Resulting Numbers: [6, 65]
Generated Node #0,1,1: 58:[6, 65] Operation: 7+58=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[58, 1], Operations: ['37-31=6', '7-6=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[7, 31, 58, 37], Operations: []
Exploring Operation: 37-31=6, Resulting Numbers: [7, 58, 6]
Generated Node #0,1: 58:[7, 58, 6] Operation: 37-31=6
Moving to Node #0,1
Current State: 58:[7, 58, 6], Operations: ['37-31=6']
Exploring Operation: 7-6=1, Resulting Numbers: [58, 1]
Generated Node #0,1,0: 58:[58, 1] Operation: 7-6=1
Moving to Node #0,1,0
Current State: 58:[58, 1], Operations: ['37-31=6', '7-6=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
86,
7,
81,
29
] | 36 | [
"86+81=167",
"7*29=203",
"203-167=36"
] | Current State: 36:[86, 7, 81, 29], Operations: []
Exploring Operation: 86+81=167, Resulting Numbers: [7, 29, 167]
Generated Node #2: [7, 29, 167] from Operation: 86+81=167
Current State: 36:[7, 29, 167], Operations: ['86+81=167']
Exploring Operation: 7*29=203, Resulting Numbers: [167, 203]
Generated Node #3: [167, 203] from Operation: 7*29=203
Current State: 36:[167, 203], Operations: ['86+81=167', '7*29=203']
Exploring Operation: 203-167=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[86, 7, 81, 29], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [7, 81, 57]
Generated Node #0,0: 36:[7, 81, 57] Operation: 86-29=57
Exploring Operation: 86-81=5, Resulting Numbers: [7, 29, 5]
Generated Node #0,1: 36:[7, 29, 5] Operation: 86-81=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[7, 29, 5], Operations: ['86-81=5']
Exploring Operation: 29+5=34, Resulting Numbers: [7, 34]
Generated Node #0,1,0: 36:[7, 34] Operation: 29+5=34
Exploring Operation: 7+29=36, Resulting Numbers: [5, 36]
Generated Node #0,1,1: 36:[5, 36] Operation: 7+29=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[5, 36], Operations: ['86-81=5', '7+29=36']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,36 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,36 unequal: No Solution
No 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: 36:[7, 34], Operations: ['86-81=5', '29+5=34']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,36 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: 36:[7, 81, 57], Operations: ['86-29=57']
Exploring Operation: 81-57=24, Resulting Numbers: [7, 24]
Generated Node #0,0,0: 36:[7, 24] Operation: 81-57=24
Exploring Operation: 81-7=74, Resulting Numbers: [57, 74]
Generated Node #0,0,1: 36:[57, 74] Operation: 81-7=74
Moving to Node #0,0,0
Current State: 36:[7, 24], Operations: ['86-29=57', '81-57=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[57, 74], Operations: ['86-29=57', '81-7=74']
Exploring Operation: 57+74=131, Resulting Numbers: [131]
131,36 unequal: No Solution
Exploring Operation: 74-57=17, Resulting Numbers: [17]
17,36 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 |
[
63,
53,
70,
11
] | 18 | [
"63-53=10",
"70/10=7",
"11+7=18"
] | Current State: 18:[63, 53, 70, 11], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [70, 11, 10]
Generated Node #2: [70, 11, 10] from Operation: 63-53=10
Current State: 18:[70, 11, 10], Operations: ['63-53=10']
Exploring Operation: 70/10=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 70/10=7
Current State: 18:[11, 7], Operations: ['63-53=10', '70/10=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[63, 53, 70, 11], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [53, 11, 7]
Generated Node #0,0: 18:[53, 11, 7] Operation: 70-63=7
Exploring Operation: 63-53=10, Resulting Numbers: [70, 11, 10]
Generated Node #0,1: 18:[70, 11, 10] Operation: 63-53=10
Exploring Operation: 53-11=42, Resulting Numbers: [63, 70, 42]
Generated Node #0,2: 18:[63, 70, 42] Operation: 53-11=42
Exploring Operation: 63-11=52, Resulting Numbers: [53, 70, 52]
Generated Node #0,3: 18:[53, 70, 52] Operation: 63-11=52
Exploring Operation: 70-53=17, Resulting Numbers: [63, 11, 17]
Generated Node #0,4: 18:[63, 11, 17] Operation: 70-53=17
Moving to Node #0,0
Current State: 18:[53, 11, 7], Operations: ['70-63=7']
Exploring Operation: 53-11=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 18:[7, 42] Operation: 53-11=42
Exploring Operation: 11-7=4, Resulting Numbers: [53, 4]
Generated Node #0,0,1: 18:[53, 4] Operation: 11-7=4
Exploring Operation: 53+7=60, Resulting Numbers: [11, 60]
Generated Node #0,0,2: 18:[11, 60] Operation: 53+7=60
Exploring Operation: 53-7=46, Resulting Numbers: [11, 46]
Generated Node #0,0,3: 18:[11, 46] Operation: 53-7=46
Exploring Operation: 11+7=18, Resulting Numbers: [53, 18]
Generated Node #0,0,4: 18:[53, 18] Operation: 11+7=18
Moving to Node #0,4
Current State: 18:[63, 11, 17], Operations: ['70-53=17']
Exploring Operation: 17-11=6, Resulting Numbers: [63, 6]
Generated Node #0,4,0: 18:[63, 6] Operation: 17-11=6
Exploring Operation: 63+11=74, Resulting Numbers: [17, 74]
Generated Node #0,4,1: 18:[17, 74] Operation: 63+11=74
Exploring Operation: 63-17=46, Resulting Numbers: [11, 46]
Generated Node #0,4,2: 18:[11, 46] Operation: 63-17=46
Exploring Operation: 11+17=28, Resulting Numbers: [63, 28]
Generated Node #0,4,3: 18:[63, 28] Operation: 11+17=28
Exploring Operation: 63-11=52, Resulting Numbers: [17, 52]
Generated Node #0,4,4: 18:[17, 52] Operation: 63-11=52
Moving to Node #0,1
Current State: 18:[70, 11, 10], Operations: ['63-53=10']
Exploring Operation: 70-11=59, Resulting Numbers: [10, 59]
Generated Node #0,1,0: 18:[10, 59] Operation: 70-11=59
Exploring Operation: 11+10=21, Resulting Numbers: [70, 21]
Generated Node #0,1,1: 18:[70, 21] Operation: 11+10=21
Exploring Operation: 70-10=60, Resulting Numbers: [11, 60]
Generated Node #0,1,2: 18:[11, 60] Operation: 70-10=60
Exploring Operation: 11-10=1, Resulting Numbers: [70, 1]
Generated Node #0,1,3: 18:[70, 1] Operation: 11-10=1
Exploring Operation: 70/10=7, Resulting Numbers: [11, 7]
Generated Node #0,1,4: 18:[11, 7] Operation: 70/10=7
Moving to Node #0,2
Current State: 18:[63, 70, 42], Operations: ['53-11=42']
Exploring Operation: 63-42=21, Resulting Numbers: [70, 21]
Generated Node #0,2,0: 18:[70, 21] Operation: 63-42=21
Exploring Operation: 63+70=133, Resulting Numbers: [42, 133]
Generated Node #0,2,1: 18:[42, 133] Operation: 63+70=133
Exploring Operation: 63+42=105, Resulting Numbers: [70, 105]
Generated Node #0,2,2: 18:[70, 105] Operation: 63+42=105
Exploring Operation: 70-42=28, Resulting Numbers: [63, 28]
Generated Node #0,2,3: 18:[63, 28] Operation: 70-42=28
Exploring Operation: 70-63=7, Resulting Numbers: [42, 7]
Generated Node #0,2,4: 18:[42, 7] Operation: 70-63=7
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 18:[42, 7], Operations: ['53-11=42', '70-63=7']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,18 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[70, 21], Operations: ['53-11=42', '63-42=21']
Exploring Operation: 70*21=1470, Resulting Numbers: [1470]
1470,18 unequal: No Solution
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 70+21=91, Resulting Numbers: [91]
91,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 18:[63, 28], Operations: ['53-11=42', '70-42=28']
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,18 unequal: No Solution
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[42, 133], Operations: ['53-11=42', '63+70=133']
Exploring Operation: 133-42=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 42*133=5586, Resulting Numbers: [5586]
5586,18 unequal: No Solution
Exploring Operation: 42+133=175, Resulting Numbers: [175]
175,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[70, 105], Operations: ['53-11=42', '63+42=105']
Exploring Operation: 70+105=175, Resulting Numbers: [175]
175,18 unequal: No Solution
Exploring Operation: 105-70=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 70*105=7350, Resulting Numbers: [7350]
7350,18 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: 18:[53, 70, 52], Operations: ['63-11=52']
Exploring Operation: 70-52=18, Resulting Numbers: [53, 18]
Generated Node #0,3,0: 18:[53, 18] Operation: 70-52=18
Exploring Operation: 53+70=123, Resulting Numbers: [52, 123]
Generated Node #0,3,1: 18:[52, 123] Operation: 53+70=123
Exploring Operation: 53-52=1, Resulting Numbers: [70, 1]
Generated Node #0,3,2: 18:[70, 1] Operation: 53-52=1
Exploring Operation: 70-53=17, Resulting Numbers: [52, 17]
Generated Node #0,3,3: 18:[52, 17] Operation: 70-53=17
Exploring Operation: 53+52=105, Resulting Numbers: [70, 105]
Generated Node #0,3,4: 18:[70, 105] Operation: 53+52=105
Moving to Node #0,1,4
Current State: 18:[11, 7], Operations: ['63-53=10', '70/10=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[63, 53, 70, 11], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [70, 11, 10]
Generated Node #0,1: 18:[70, 11, 10] Operation: 63-53=10
Moving to Node #0,1
Current State: 18:[70, 11, 10], Operations: ['63-53=10']
Exploring Operation: 70/10=7, Resulting Numbers: [11, 7]
Generated Node #0,1,4: 18:[11, 7] Operation: 70/10=7
Moving to Node #0,1,4
Current State: 18:[11, 7], Operations: ['63-53=10', '70/10=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.955729 | hs_5 | mult_heuristic |
[
63,
10,
52,
34
] | 35 | [
"63*10=630",
"52-34=18",
"630/18=35"
] | Current State: 35:[63, 10, 52, 34], Operations: []
Exploring Operation: 63*10=630, Resulting Numbers: [52, 34, 630]
Generated Node #2: [52, 34, 630] from Operation: 63*10=630
Current State: 35:[52, 34, 630], Operations: ['63*10=630']
Exploring Operation: 52-34=18, Resulting Numbers: [630, 18]
Generated Node #3: [630, 18] from Operation: 52-34=18
Current State: 35:[630, 18], Operations: ['63*10=630', '52-34=18']
Exploring Operation: 630/18=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[63, 10, 52, 34], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [10, 34, 11]
Generated Node #0,0: 35:[10, 34, 11] Operation: 63-52=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[10, 34, 11], Operations: ['63-52=11']
Exploring Operation: 11-10=1, Resulting Numbers: [34, 1]
Generated Node #0,0,0: 35:[34, 1] Operation: 11-10=1
Moving to Node #0,0,0
Current State: 35:[34, 1], Operations: ['63-52=11', '11-10=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[63, 10, 52, 34], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [10, 34, 11]
Generated Node #0,0: 35:[10, 34, 11] Operation: 63-52=11
Moving to Node #0,0
Current State: 35:[10, 34, 11], Operations: ['63-52=11']
Exploring Operation: 11-10=1, Resulting Numbers: [34, 1]
Generated Node #0,0,0: 35:[34, 1] Operation: 11-10=1
Moving to Node #0,0,0
Current State: 35:[34, 1], Operations: ['63-52=11', '11-10=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
4,
37,
26,
83
] | 16 | [
"4+37=41",
"83-26=57",
"57-41=16"
] | Current State: 16:[4, 37, 26, 83], Operations: []
Exploring Operation: 4+37=41, Resulting Numbers: [26, 83, 41]
Generated Node #2: [26, 83, 41] from Operation: 4+37=41
Current State: 16:[26, 83, 41], Operations: ['4+37=41']
Exploring Operation: 83-26=57, Resulting Numbers: [41, 57]
Generated Node #3: [41, 57] from Operation: 83-26=57
Current State: 16:[41, 57], Operations: ['4+37=41', '83-26=57']
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[4, 37, 26, 83], Operations: []
Exploring Operation: 83-37=46, Resulting Numbers: [4, 26, 46]
Generated Node #0,0: 16:[4, 26, 46] Operation: 83-37=46
Exploring Operation: 37-26=11, Resulting Numbers: [4, 83, 11]
Generated Node #0,1: 16:[4, 83, 11] Operation: 37-26=11
Exploring Operation: 83-26=57, Resulting Numbers: [4, 37, 57]
Generated Node #0,2: 16:[4, 37, 57] Operation: 83-26=57
Moving to Node #0,0
Current State: 16:[4, 26, 46], Operations: ['83-37=46']
Exploring Operation: 46-26=20, Resulting Numbers: [4, 20]
Generated Node #0,0,0: 16:[4, 20] Operation: 46-26=20
Exploring Operation: 46-4=42, Resulting Numbers: [26, 42]
Generated Node #0,0,1: 16:[26, 42] Operation: 46-4=42
Exploring Operation: 26-4=22, Resulting Numbers: [46, 22]
Generated Node #0,0,2: 16:[46, 22] Operation: 26-4=22
Moving to Node #0,2
Current State: 16:[4, 37, 57], Operations: ['83-26=57']
Exploring Operation: 37-4=33, Resulting Numbers: [57, 33]
Generated Node #0,2,0: 16:[57, 33] Operation: 37-4=33
Exploring Operation: 57-4=53, Resulting Numbers: [37, 53]
Generated Node #0,2,1: 16:[37, 53] Operation: 57-4=53
Exploring Operation: 57-37=20, Resulting Numbers: [4, 20]
Generated Node #0,2,2: 16:[4, 20] Operation: 57-37=20
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[4, 20], Operations: ['83-26=57', '57-37=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[4, 37, 26, 83], Operations: []
Exploring Operation: 83-26=57, Resulting Numbers: [4, 37, 57]
Generated Node #0,2: 16:[4, 37, 57] Operation: 83-26=57
Moving to Node #0,2
Current State: 16:[4, 37, 57], Operations: ['83-26=57']
Exploring Operation: 57-37=20, Resulting Numbers: [4, 20]
Generated Node #0,2,2: 16:[4, 20] Operation: 57-37=20
Moving to Node #0,2,2
Current State: 16:[4, 20], Operations: ['83-26=57', '57-37=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
15,
78,
35,
37
] | 10 | [
"78+35=113",
"37+113=150",
"150/15=10"
] | Current State: 10:[15, 78, 35, 37], Operations: []
Exploring Operation: 78+35=113, Resulting Numbers: [15, 37, 113]
Generated Node #2: [15, 37, 113] from Operation: 78+35=113
Current State: 10:[15, 37, 113], Operations: ['78+35=113']
Exploring Operation: 37+113=150, Resulting Numbers: [15, 150]
Generated Node #3: [15, 150] from Operation: 37+113=150
Current State: 10:[15, 150], Operations: ['78+35=113', '37+113=150']
Exploring Operation: 150/15=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[15, 78, 35, 37], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [15, 37, 43]
Generated Node #0,0: 10:[15, 37, 43] Operation: 78-35=43
Exploring Operation: 78-15=63, Resulting Numbers: [35, 37, 63]
Generated Node #0,1: 10:[35, 37, 63] Operation: 78-15=63
Exploring Operation: 37-35=2, Resulting Numbers: [15, 78, 2]
Generated Node #0,2: 10:[15, 78, 2] Operation: 37-35=2
Exploring Operation: 78-37=41, Resulting Numbers: [15, 35, 41]
Generated Node #0,3: 10:[15, 35, 41] Operation: 78-37=41
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[15, 35, 41], Operations: ['78-37=41']
Exploring Operation: 41-35=6, Resulting Numbers: [15, 6]
Generated Node #0,3,0: 10:[15, 6] Operation: 41-35=6
Exploring Operation: 15+35=50, Resulting Numbers: [41, 50]
Generated Node #0,3,1: 10:[41, 50] Operation: 15+35=50
Exploring Operation: 35-15=20, Resulting Numbers: [41, 20]
Generated Node #0,3,2: 10:[41, 20] Operation: 35-15=20
Exploring Operation: 41-15=26, Resulting Numbers: [35, 26]
Generated Node #0,3,3: 10:[35, 26] Operation: 41-15=26
Moving to Node #0,3,0
Current State: 10:[15, 6], Operations: ['78-37=41', '41-35=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,10 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,10 unequal: No Solution
Moving to Node #0,3,3
Current State: 10:[35, 26], Operations: ['78-37=41', '41-15=26']
Exploring Operation: 35*26=910, Resulting Numbers: [910]
910,10 unequal: No Solution
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Moving to Node #0,3,2
Current State: 10:[41, 20], Operations: ['78-37=41', '35-15=20']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,10 unequal: No Solution
Exploring Operation: 41+20=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 41*20=820, Resulting Numbers: [820]
820,10 unequal: No Solution
Moving to Node #0,3,1
Current State: 10:[41, 50], Operations: ['78-37=41', '15+35=50']
Exploring Operation: 41+50=91, Resulting Numbers: [91]
91,10 unequal: No Solution
Exploring Operation: 41*50=2050, Resulting Numbers: [2050]
2050,10 unequal: No Solution
Exploring Operation: 50-41=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[15, 37, 43], Operations: ['78-35=43']
Exploring Operation: 15+37=52, Resulting Numbers: [43, 52]
Generated Node #0,0,0: 10:[43, 52] Operation: 15+37=52
Exploring Operation: 43-15=28, Resulting Numbers: [37, 28]
Generated Node #0,0,1: 10:[37, 28] Operation: 43-15=28
Exploring Operation: 37-15=22, Resulting Numbers: [43, 22]
Generated Node #0,0,2: 10:[43, 22] Operation: 37-15=22
Exploring Operation: 43-37=6, Resulting Numbers: [15, 6]
Generated Node #0,0,3: 10:[15, 6] Operation: 43-37=6
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 10:[15, 6], Operations: ['78-35=43', '43-37=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,10 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[37, 28], Operations: ['78-35=43', '43-15=28']
Exploring Operation: 37*28=1036, Resulting Numbers: [1036]
1036,10 unequal: No Solution
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 10:[43, 22], Operations: ['78-35=43', '37-15=22']
Exploring Operation: 43*22=946, Resulting Numbers: [946]
946,10 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,10 unequal: No Solution
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[43, 52], Operations: ['78-35=43', '15+37=52']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 43*52=2236, Resulting Numbers: [2236]
2236,10 unequal: No Solution
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[15, 78, 2], Operations: ['37-35=2']
Exploring Operation: 78-2=76, Resulting Numbers: [15, 76]
Generated Node #0,2,0: 10:[15, 76] Operation: 78-2=76
Exploring Operation: 78/2=39, Resulting Numbers: [15, 39]
Generated Node #0,2,1: 10:[15, 39] Operation: 78/2=39
Exploring Operation: 78-15=63, Resulting Numbers: [2, 63]
Generated Node #0,2,2: 10:[2, 63] Operation: 78-15=63
Exploring Operation: 15-2=13, Resulting Numbers: [78, 13]
Generated Node #0,2,3: 10:[78, 13] Operation: 15-2=13
Moving to Node #0,2,1
Current State: 10:[15, 39], Operations: ['37-35=2', '78/2=39']
Exploring Operation: 15*39=585, Resulting Numbers: [585]
585,10 unequal: No Solution
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,10 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[2, 63], Operations: ['37-35=2', '78-15=63']
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,10 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[78, 13], Operations: ['37-35=2', '15-2=13']
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,10 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 78*13=1014, Resulting Numbers: [1014]
1014,10 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[15, 76], Operations: ['37-35=2', '78-2=76']
Exploring Operation: 15*76=1140, Resulting Numbers: [1140]
1140,10 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[35, 37, 63], Operations: ['78-15=63']
Exploring Operation: 37-35=2, Resulting Numbers: [63, 2]
Generated Node #0,1,0: 10:[63, 2] Operation: 37-35=2
Exploring Operation: 35+37=72, Resulting Numbers: [63, 72]
Generated Node #0,1,1: 10:[63, 72] Operation: 35+37=72
Exploring Operation: 63-37=26, Resulting Numbers: [35, 26]
Generated Node #0,1,2: 10:[35, 26] Operation: 63-37=26
Exploring Operation: 63-35=28, Resulting Numbers: [37, 28]
Generated Node #0,1,3: 10:[37, 28] Operation: 63-35=28
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 10:[35, 26], Operations: ['78-15=63', '63-37=26']
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 35*26=910, Resulting Numbers: [910]
910,10 unequal: No Solution
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 10:[37, 28], Operations: ['78-15=63', '63-35=28']
Exploring Operation: 37+28=65, Resulting Numbers: [65]
65,10 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 37*28=1036, Resulting Numbers: [1036]
1036,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 10:[63, 2], Operations: ['78-15=63', '37-35=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,10 unequal: No Solution
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,10 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[63, 72], Operations: ['78-15=63', '35+37=72']
Exploring Operation: 63*72=4536, Resulting Numbers: [4536]
4536,10 unequal: No Solution
Exploring Operation: 63+72=135, Resulting Numbers: [135]
135,10 unequal: No Solution
Exploring Operation: 72-63=9, Resulting Numbers: [9]
9,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
90,
70,
80,
59
] | 52 | [
"90-80=10",
"70/10=7",
"59-7=52"
] | Current State: 52:[90, 70, 80, 59], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [70, 59, 10]
Generated Node #2: [70, 59, 10] from Operation: 90-80=10
Current State: 52:[70, 59, 10], Operations: ['90-80=10']
Exploring Operation: 70/10=7, Resulting Numbers: [59, 7]
Generated Node #3: [59, 7] from Operation: 70/10=7
Current State: 52:[59, 7], Operations: ['90-80=10', '70/10=7']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[90, 70, 80, 59], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [70, 59, 10]
Generated Node #0,0: 52:[70, 59, 10] Operation: 90-80=10
Moving to Node #0,0
Current State: 52:[70, 59, 10], Operations: ['90-80=10']
Exploring Operation: 70-59=11, Resulting Numbers: [10, 11]
Generated Node #0,0,0: 52:[10, 11] Operation: 70-59=11
Moving to Node #0,0,0
Current State: 52:[10, 11], Operations: ['90-80=10', '70-59=11']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,52 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
83,
82,
68,
30
] | 67 | [
"83+82=165",
"68+30=98",
"165-98=67"
] | Current State: 67:[83, 82, 68, 30], Operations: []
Exploring Operation: 83+82=165, Resulting Numbers: [68, 30, 165]
Generated Node #2: [68, 30, 165] from Operation: 83+82=165
Current State: 67:[68, 30, 165], Operations: ['83+82=165']
Exploring Operation: 68+30=98, Resulting Numbers: [165, 98]
Generated Node #3: [165, 98] from Operation: 68+30=98
Current State: 67:[165, 98], Operations: ['83+82=165', '68+30=98']
Exploring Operation: 165-98=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[83, 82, 68, 30], Operations: []
Exploring Operation: 83-30=53, Resulting Numbers: [82, 68, 53]
Generated Node #0,0: 67:[82, 68, 53] Operation: 83-30=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[82, 68, 53], Operations: ['83-30=53']
Exploring Operation: 82-53=29, Resulting Numbers: [68, 29]
Generated Node #0,0,0: 67:[68, 29] Operation: 82-53=29
Moving to Node #0,0,0
Current State: 67:[68, 29], Operations: ['83-30=53', '82-53=29']
Exploring Operation: 68-29=39, Resulting Numbers: [39]
39,67 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 |
[
29,
12,
96,
15
] | 55 | [
"29+96=125",
"12*15=180",
"180-125=55"
] | Current State: 55:[29, 12, 96, 15], Operations: []
Exploring Operation: 29+96=125, Resulting Numbers: [12, 15, 125]
Generated Node #2: [12, 15, 125] from Operation: 29+96=125
Current State: 55:[12, 15, 125], Operations: ['29+96=125']
Exploring Operation: 12*15=180, Resulting Numbers: [125, 180]
Generated Node #3: [125, 180] from Operation: 12*15=180
Current State: 55:[125, 180], Operations: ['29+96=125', '12*15=180']
Exploring Operation: 180-125=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[29, 12, 96, 15], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [29, 15, 8]
Generated Node #0,0: 55:[29, 15, 8] Operation: 96/12=8
Exploring Operation: 96-29=67, Resulting Numbers: [12, 15, 67]
Generated Node #0,1: 55:[12, 15, 67] Operation: 96-29=67
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[12, 15, 67], Operations: ['96-29=67']
Exploring Operation: 67-15=52, Resulting Numbers: [12, 52]
Generated Node #0,1,0: 55:[12, 52] Operation: 67-15=52
Exploring Operation: 67-12=55, Resulting Numbers: [15, 55]
Generated Node #0,1,1: 55:[15, 55] Operation: 67-12=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 55:[12, 52], Operations: ['96-29=67', '67-15=52']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 55:[15, 55], Operations: ['96-29=67', '67-12=55']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,55 unequal: No Solution
Exploring Operation: 15+55=70, Resulting Numbers: [70]
70,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[29, 15, 8], Operations: ['96/12=8']
Exploring Operation: 29+15=44, Resulting Numbers: [8, 44]
Generated Node #0,0,0: 55:[8, 44] Operation: 29+15=44
Exploring Operation: 29-15=14, Resulting Numbers: [8, 14]
Generated Node #0,0,1: 55:[8, 14] Operation: 29-15=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 55:[8, 14], Operations: ['96/12=8', '29-15=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[8, 44], Operations: ['96/12=8', '29+15=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
9,
17,
24,
85
] | 69 | [
"17-9=8",
"85-24=61",
"8+61=69"
] | Current State: 69:[9, 17, 24, 85], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [24, 85, 8]
Generated Node #2: [24, 85, 8] from Operation: 17-9=8
Current State: 69:[24, 85, 8], Operations: ['17-9=8']
Exploring Operation: 85-24=61, Resulting Numbers: [8, 61]
Generated Node #3: [8, 61] from Operation: 85-24=61
Current State: 69:[8, 61], Operations: ['17-9=8', '85-24=61']
Exploring Operation: 8+61=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[9, 17, 24, 85], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [9, 24, 5]
Generated Node #0,0: 69:[9, 24, 5] Operation: 85/17=5
Exploring Operation: 85-17=68, Resulting Numbers: [9, 24, 68]
Generated Node #0,1: 69:[9, 24, 68] Operation: 85-17=68
Exploring Operation: 85-9=76, Resulting Numbers: [17, 24, 76]
Generated Node #0,2: 69:[17, 24, 76] Operation: 85-9=76
Moving to Node #0,1
Current State: 69:[9, 24, 68], Operations: ['85-17=68']
Exploring Operation: 24-9=15, Resulting Numbers: [68, 15]
Generated Node #0,1,0: 69:[68, 15] Operation: 24-9=15
Exploring Operation: 9+24=33, Resulting Numbers: [68, 33]
Generated Node #0,1,1: 69:[68, 33] Operation: 9+24=33
Exploring Operation: 9+68=77, Resulting Numbers: [24, 77]
Generated Node #0,1,2: 69:[24, 77] Operation: 9+68=77
Moving to Node #0,0
Current State: 69:[9, 24, 5], Operations: ['85/17=5']
Exploring Operation: 24-9=15, Resulting Numbers: [5, 15]
Generated Node #0,0,0: 69:[5, 15] Operation: 24-9=15
Exploring Operation: 9+5=14, Resulting Numbers: [24, 14]
Generated Node #0,0,1: 69:[24, 14] Operation: 9+5=14
Exploring Operation: 9-5=4, Resulting Numbers: [24, 4]
Generated Node #0,0,2: 69:[24, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[24, 4], Operations: ['85/17=5', '9-5=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[5, 15], Operations: ['85/17=5', '24-9=15']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,69 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,69 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 #0,0,1
Current State: 69:[24, 14], Operations: ['85/17=5', '9+5=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,69 unequal: No Solution
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,69 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 69:[17, 24, 76], Operations: ['85-9=76']
Exploring Operation: 24-17=7, Resulting Numbers: [76, 7]
Generated Node #0,2,0: 69:[76, 7] Operation: 24-17=7
Exploring Operation: 76-17=59, Resulting Numbers: [24, 59]
Generated Node #0,2,1: 69:[24, 59] Operation: 76-17=59
Exploring Operation: 76-24=52, Resulting Numbers: [17, 52]
Generated Node #0,2,2: 69:[17, 52] Operation: 76-24=52
Moving to Node #0,1,0
Current State: 69:[68, 15], Operations: ['85-17=68', '24-9=15']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Exploring Operation: 68*15=1020, Resulting Numbers: [1020]
1020,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[24, 77], Operations: ['85-17=68', '9+68=77']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 24+77=101, Resulting Numbers: [101]
101,69 unequal: No Solution
Exploring Operation: 24*77=1848, Resulting Numbers: [1848]
1848,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[68, 33], Operations: ['85-17=68', '9+24=33']
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,69 unequal: No Solution
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,69 unequal: No Solution
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[24, 59], Operations: ['85-9=76', '76-17=59']
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 24*59=1416, Resulting Numbers: [1416]
1416,69 unequal: No Solution
Exploring Operation: 24+59=83, Resulting Numbers: [83]
83,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[76, 7], Operations: ['85-9=76', '24-17=7']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[9, 17, 24, 85], Operations: []
Exploring Operation: 85-9=76, Resulting Numbers: [17, 24, 76]
Generated Node #0,2: 69:[17, 24, 76] Operation: 85-9=76
Moving to Node #0,2
Current State: 69:[17, 24, 76], Operations: ['85-9=76']
Exploring Operation: 24-17=7, Resulting Numbers: [76, 7]
Generated Node #0,2,0: 69:[76, 7] Operation: 24-17=7
Moving to Node #0,2,0
Current State: 69:[76, 7], Operations: ['85-9=76', '24-17=7']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.967014 | hs_3 | mult_heuristic |
[
84,
21,
70,
50
] | 69 | [
"21*50=1050",
"1050/70=15",
"84-15=69"
] | Current State: 69:[84, 21, 70, 50], Operations: []
Exploring Operation: 21*50=1050, Resulting Numbers: [84, 70, 1050]
Generated Node #2: [84, 70, 1050] from Operation: 21*50=1050
Current State: 69:[84, 70, 1050], Operations: ['21*50=1050']
Exploring Operation: 1050/70=15, Resulting Numbers: [84, 15]
Generated Node #3: [84, 15] from Operation: 1050/70=15
Current State: 69:[84, 15], Operations: ['21*50=1050', '1050/70=15']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[84, 21, 70, 50], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [21, 70, 34]
Generated Node #0,0: 69:[21, 70, 34] Operation: 84-50=34
Moving to Node #0,0
Current State: 69:[21, 70, 34], Operations: ['84-50=34']
Exploring Operation: 34-21=13, Resulting Numbers: [70, 13]
Generated Node #0,0,0: 69:[70, 13] Operation: 34-21=13
Moving to Node #0,0,0
Current State: 69:[70, 13], Operations: ['84-50=34', '34-21=13']
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,69 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
9,
90,
92
] | 16 | [
"5+9=14",
"92-90=2",
"14+2=16"
] | Current State: 16:[5, 9, 90, 92], Operations: []
Exploring Operation: 5+9=14, Resulting Numbers: [90, 92, 14]
Generated Node #2: [90, 92, 14] from Operation: 5+9=14
Current State: 16:[90, 92, 14], Operations: ['5+9=14']
Exploring Operation: 92-90=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 92-90=2
Current State: 16:[14, 2], Operations: ['5+9=14', '92-90=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[5, 9, 90, 92], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [5, 92, 10]
Generated Node #0,0: 16:[5, 92, 10] Operation: 90/9=10
Exploring Operation: 92-9=83, Resulting Numbers: [5, 90, 83]
Generated Node #0,1: 16:[5, 90, 83] Operation: 92-9=83
Exploring Operation: 90-9=81, Resulting Numbers: [5, 92, 81]
Generated Node #0,2: 16:[5, 92, 81] Operation: 90-9=81
Exploring Operation: 90/5=18, Resulting Numbers: [9, 92, 18]
Generated Node #0,3: 16:[9, 92, 18] Operation: 90/5=18
Exploring Operation: 92-90=2, Resulting Numbers: [5, 9, 2]
Generated Node #0,4: 16:[5, 9, 2] Operation: 92-90=2
Moving to Node #0,4
Current State: 16:[5, 9, 2], Operations: ['92-90=2']
Exploring Operation: 9-2=7, Resulting Numbers: [5, 7]
Generated Node #0,4,0: 16:[5, 7] Operation: 9-2=7
Exploring Operation: 5+2=7, Resulting Numbers: [9, 7]
Generated Node #0,4,1: 16:[9, 7] Operation: 5+2=7
Exploring Operation: 5+9=14, Resulting Numbers: [2, 14]
Generated Node #0,4,2: 16:[2, 14] Operation: 5+9=14
Exploring Operation: 5-2=3, Resulting Numbers: [9, 3]
Generated Node #0,4,3: 16:[9, 3] Operation: 5-2=3
Exploring Operation: 9-5=4, Resulting Numbers: [2, 4]
Generated Node #0,4,4: 16:[2, 4] Operation: 9-5=4
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 16:[2, 4], Operations: ['92-90=2', '9-5=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 16:[5, 7], Operations: ['92-90=2', '9-2=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 16:[9, 7], Operations: ['92-90=2', '5+2=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,16 unequal: No Solution
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[5, 9, 90, 92], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [5, 9, 2]
Generated Node #0,4: 16:[5, 9, 2] Operation: 92-90=2
Moving to Node #0,4
Current State: 16:[5, 9, 2], Operations: ['92-90=2']
Exploring Operation: 5+2=7, Resulting Numbers: [9, 7]
Generated Node #0,4,1: 16:[9, 7] Operation: 5+2=7
Moving to Node #0,4,1
Current State: 16:[9, 7], Operations: ['92-90=2', '5+2=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | sum_heuristic |
[
11,
41,
37,
54
] | 13 | [
"41-11=30",
"54-37=17",
"30-17=13"
] | Current State: 13:[11, 41, 37, 54], Operations: []
Exploring Operation: 41-11=30, Resulting Numbers: [37, 54, 30]
Generated Node #2: [37, 54, 30] from Operation: 41-11=30
Current State: 13:[37, 54, 30], Operations: ['41-11=30']
Exploring Operation: 54-37=17, Resulting Numbers: [30, 17]
Generated Node #3: [30, 17] from Operation: 54-37=17
Current State: 13:[30, 17], Operations: ['41-11=30', '54-37=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[11, 41, 37, 54], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [11, 37, 13]
Generated Node #0,0: 13:[11, 37, 13] Operation: 54-41=13
Exploring Operation: 54-37=17, Resulting Numbers: [11, 41, 17]
Generated Node #0,1: 13:[11, 41, 17] Operation: 54-37=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[11, 37, 13], Operations: ['54-41=13']
Exploring Operation: 37-13=24, Resulting Numbers: [11, 24]
Generated Node #0,0,0: 13:[11, 24] Operation: 37-13=24
Exploring Operation: 37-11=26, Resulting Numbers: [13, 26]
Generated Node #0,0,1: 13:[13, 26] Operation: 37-11=26
Moving to Node #0,0,0
Current State: 13:[11, 24], Operations: ['54-41=13', '37-13=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[11, 41, 37, 54], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [11, 37, 13]
Generated Node #0,0: 13:[11, 37, 13] Operation: 54-41=13
Moving to Node #0,0
Current State: 13:[11, 37, 13], Operations: ['54-41=13']
Exploring Operation: 37-13=24, Resulting Numbers: [11, 24]
Generated Node #0,0,0: 13:[11, 24] Operation: 37-13=24
Moving to Node #0,0,0
Current State: 13:[11, 24], Operations: ['54-41=13', '37-13=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
5,
74,
44,
81
] | 88 | [
"5+74=79",
"81-79=2",
"44*2=88"
] | Current State: 88:[5, 74, 44, 81], Operations: []
Exploring Operation: 5+74=79, Resulting Numbers: [44, 81, 79]
Generated Node #2: [44, 81, 79] from Operation: 5+74=79
Current State: 88:[44, 81, 79], Operations: ['5+74=79']
Exploring Operation: 81-79=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 81-79=2
Current State: 88:[44, 2], Operations: ['5+74=79', '81-79=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[5, 74, 44, 81], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [5, 44, 7]
Generated Node #0,0: 88:[5, 44, 7] Operation: 81-74=7
Exploring Operation: 81-44=37, Resulting Numbers: [5, 74, 37]
Generated Node #0,1: 88:[5, 74, 37] Operation: 81-44=37
Exploring Operation: 5+81=86, Resulting Numbers: [74, 44, 86]
Generated Node #0,2: 88:[74, 44, 86] Operation: 5+81=86
Exploring Operation: 74-44=30, Resulting Numbers: [5, 81, 30]
Generated Node #0,3: 88:[5, 81, 30] Operation: 74-44=30
Exploring Operation: 5+74=79, Resulting Numbers: [44, 81, 79]
Generated Node #0,4: 88:[44, 81, 79] Operation: 5+74=79
Moving to Node #0,0
Current State: 88:[5, 44, 7], Operations: ['81-74=7']
Exploring Operation: 5+7=12, Resulting Numbers: [44, 12]
Generated Node #0,0,0: 88:[44, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [44, 2]
Generated Node #0,0,1: 88:[44, 2] Operation: 7-5=2
Exploring Operation: 5+44=49, Resulting Numbers: [7, 49]
Generated Node #0,0,2: 88:[7, 49] Operation: 5+44=49
Exploring Operation: 44-5=39, Resulting Numbers: [7, 39]
Generated Node #0,0,3: 88:[7, 39] Operation: 44-5=39
Exploring Operation: 44+7=51, Resulting Numbers: [5, 51]
Generated Node #0,0,4: 88:[5, 51] Operation: 44+7=51
Moving to Node #0,3
Current State: 88:[5, 81, 30], Operations: ['74-44=30']
Exploring Operation: 5+30=35, Resulting Numbers: [81, 35]
Generated Node #0,3,0: 88:[81, 35] Operation: 5+30=35
Exploring Operation: 81-30=51, Resulting Numbers: [5, 51]
Generated Node #0,3,1: 88:[5, 51] Operation: 81-30=51
Exploring Operation: 5+81=86, Resulting Numbers: [30, 86]
Generated Node #0,3,2: 88:[30, 86] Operation: 5+81=86
Exploring Operation: 30/5=6, Resulting Numbers: [81, 6]
Generated Node #0,3,3: 88:[81, 6] Operation: 30/5=6
Exploring Operation: 30-5=25, Resulting Numbers: [81, 25]
Generated Node #0,3,4: 88:[81, 25] Operation: 30-5=25
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 88:[5, 51], Operations: ['74-44=30', '81-30=51']
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,88 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 88:[81, 6], Operations: ['74-44=30', '30/5=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,88 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,88 unequal: No Solution
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 88:[30, 86], Operations: ['74-44=30', '5+81=86']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 30*86=2580, Resulting Numbers: [2580]
2580,88 unequal: No Solution
Exploring Operation: 30+86=116, Resulting Numbers: [116]
116,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 88:[81, 25], Operations: ['74-44=30', '30-5=25']
Exploring Operation: 81*25=2025, Resulting Numbers: [2025]
2025,88 unequal: No Solution
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 81+25=106, Resulting Numbers: [106]
106,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 88:[81, 35], Operations: ['74-44=30', '5+30=35']
Exploring Operation: 81+35=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 81*35=2835, Resulting Numbers: [2835]
2835,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 88:[74, 44, 86], Operations: ['5+81=86']
Exploring Operation: 44+86=130, Resulting Numbers: [74, 130]
Generated Node #0,2,0: 88:[74, 130] Operation: 44+86=130
Exploring Operation: 74-44=30, Resulting Numbers: [86, 30]
Generated Node #0,2,1: 88:[86, 30] Operation: 74-44=30
Exploring Operation: 74+44=118, Resulting Numbers: [86, 118]
Generated Node #0,2,2: 88:[86, 118] Operation: 74+44=118
Exploring Operation: 86-44=42, Resulting Numbers: [74, 42]
Generated Node #0,2,3: 88:[74, 42] Operation: 86-44=42
Exploring Operation: 86-74=12, Resulting Numbers: [44, 12]
Generated Node #0,2,4: 88:[44, 12] Operation: 86-74=12
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 88:[44, 12], Operations: ['5+81=86', '86-74=12']
Exploring Operation: 44*12=528, Resulting Numbers: [528]
528,88 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,88 unequal: No Solution
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[86, 30], Operations: ['5+81=86', '74-44=30']
Exploring Operation: 86+30=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 86*30=2580, Resulting Numbers: [2580]
2580,88 unequal: No Solution
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[74, 42], Operations: ['5+81=86', '86-44=42']
Exploring Operation: 74+42=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,88 unequal: No Solution
Exploring Operation: 74*42=3108, Resulting Numbers: [3108]
3108,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[86, 118], Operations: ['5+81=86', '74+44=118']
Exploring Operation: 118-86=32, Resulting Numbers: [32]
32,88 unequal: No Solution
Exploring Operation: 86+118=204, Resulting Numbers: [204]
204,88 unequal: No Solution
Exploring Operation: 86*118=10148, Resulting Numbers: [10148]
10148,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[74, 130], Operations: ['5+81=86', '44+86=130']
Exploring Operation: 74+130=204, Resulting Numbers: [204]
204,88 unequal: No Solution
Exploring Operation: 130-74=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 74*130=9620, Resulting Numbers: [9620]
9620,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 88:[44, 81, 79], Operations: ['5+74=79']
Exploring Operation: 44+79=123, Resulting Numbers: [81, 123]
Generated Node #0,4,0: 88:[81, 123] Operation: 44+79=123
Exploring Operation: 81-79=2, Resulting Numbers: [44, 2]
Generated Node #0,4,1: 88:[44, 2] Operation: 81-79=2
Exploring Operation: 81-44=37, Resulting Numbers: [79, 37]
Generated Node #0,4,2: 88:[79, 37] Operation: 81-44=37
Exploring Operation: 79-44=35, Resulting Numbers: [81, 35]
Generated Node #0,4,3: 88:[81, 35] Operation: 79-44=35
Exploring Operation: 44+81=125, Resulting Numbers: [79, 125]
Generated Node #0,4,4: 88:[79, 125] Operation: 44+81=125
Moving to Node #0,1
Current State: 88:[5, 74, 37], Operations: ['81-44=37']
Exploring Operation: 5+37=42, Resulting Numbers: [74, 42]
Generated Node #0,1,0: 88:[74, 42] Operation: 5+37=42
Exploring Operation: 74-37=37, Resulting Numbers: [5, 37]
Generated Node #0,1,1: 88:[5, 37] Operation: 74-37=37
Exploring Operation: 74/37=2, Resulting Numbers: [5, 2]
Generated Node #0,1,2: 88:[5, 2] Operation: 74/37=2
Exploring Operation: 37-5=32, Resulting Numbers: [74, 32]
Generated Node #0,1,3: 88:[74, 32] Operation: 37-5=32
Exploring Operation: 5+74=79, Resulting Numbers: [37, 79]
Generated Node #0,1,4: 88:[37, 79] Operation: 5+74=79
Moving to Node #0,0,1
Current State: 88:[44, 2], Operations: ['81-74=7', '7-5=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[5, 74, 44, 81], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [5, 44, 7]
Generated Node #0,0: 88:[5, 44, 7] Operation: 81-74=7
Moving to Node #0,0
Current State: 88:[5, 44, 7], Operations: ['81-74=7']
Exploring Operation: 7-5=2, Resulting Numbers: [44, 2]
Generated Node #0,0,1: 88:[44, 2] Operation: 7-5=2
Moving to Node #0,0,1
Current State: 88:[44, 2], Operations: ['81-74=7', '7-5=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.943576 | hs_5 | sum_heuristic |
[
48,
60,
13,
1
] | 26 | [
"60-48=12",
"13+1=14",
"12+14=26"
] | Current State: 26:[48, 60, 13, 1], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [13, 1, 12]
Generated Node #2: [13, 1, 12] from Operation: 60-48=12
Current State: 26:[13, 1, 12], Operations: ['60-48=12']
Exploring Operation: 13+1=14, Resulting Numbers: [12, 14]
Generated Node #3: [12, 14] from Operation: 13+1=14
Current State: 26:[12, 14], Operations: ['60-48=12', '13+1=14']
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[48, 60, 13, 1], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [13, 1, 12]
Generated Node #0,0: 26:[13, 1, 12] Operation: 60-48=12
Moving to Node #0,0
Current State: 26:[13, 1, 12], Operations: ['60-48=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13, 13]
Generated Node #0,0,0: 26:[13, 13] Operation: 1+12=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[13, 13], Operations: ['60-48=12', '1+12=13']
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[48, 60, 13, 1], Operations: []
Exploring Operation: 60-48=12, Resulting Numbers: [13, 1, 12]
Generated Node #0,0: 26:[13, 1, 12] Operation: 60-48=12
Moving to Node #0,0
Current State: 26:[13, 1, 12], Operations: ['60-48=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13, 13]
Generated Node #0,0,0: 26:[13, 13] Operation: 1+12=13
Moving to Node #0,0,0
Current State: 26:[13, 13], Operations: ['60-48=12', '1+12=13']
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
84,
1,
70,
51
] | 65 | [
"84*1=84",
"70-51=19",
"84-19=65"
] | Current State: 65:[84, 1, 70, 51], Operations: []
Exploring Operation: 84*1=84, Resulting Numbers: [70, 51, 84]
Generated Node #2: [70, 51, 84] from Operation: 84*1=84
Current State: 65:[70, 51, 84], Operations: ['84*1=84']
Exploring Operation: 70-51=19, Resulting Numbers: [84, 19]
Generated Node #3: [84, 19] from Operation: 70-51=19
Current State: 65:[84, 19], Operations: ['84*1=84', '70-51=19']
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[84, 1, 70, 51], Operations: []
Exploring Operation: 84-70=14, Resulting Numbers: [1, 51, 14]
Generated Node #0,0: 65:[1, 51, 14] Operation: 84-70=14
Exploring Operation: 84-1=83, Resulting Numbers: [70, 51, 83]
Generated Node #0,1: 65:[70, 51, 83] Operation: 84-1=83
Exploring Operation: 70-51=19, Resulting Numbers: [84, 1, 19]
Generated Node #0,2: 65:[84, 1, 19] Operation: 70-51=19
Exploring Operation: 70-1=69, Resulting Numbers: [84, 51, 69]
Generated Node #0,3: 65:[84, 51, 69] Operation: 70-1=69
Exploring Operation: 84-51=33, Resulting Numbers: [1, 70, 33]
Generated Node #0,4: 65:[1, 70, 33] Operation: 84-51=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[1, 51, 14], Operations: ['84-70=14']
Exploring Operation: 51+14=65, Resulting Numbers: [1, 65]
Generated Node #0,0,0: 65:[1, 65] Operation: 51+14=65
Exploring Operation: 1*51=51, Resulting Numbers: [14, 51]
Generated Node #0,0,1: 65:[14, 51] Operation: 1*51=51
Exploring Operation: 14-1=13, Resulting Numbers: [51, 13]
Generated Node #0,0,2: 65:[51, 13] Operation: 14-1=13
Exploring Operation: 1+51=52, Resulting Numbers: [14, 52]
Generated Node #0,0,3: 65:[14, 52] Operation: 1+51=52
Exploring Operation: 51/1=51, Resulting Numbers: [14, 51]
Generated Node #0,0,4: 65:[14, 51] Operation: 51/1=51
Moving to Node #0,0,0
Current State: 65:[1, 65], Operations: ['84-70=14', '51+14=65']
Exploring Operation: 1*65=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[84, 1, 70, 51], Operations: []
Exploring Operation: 84-70=14, Resulting Numbers: [1, 51, 14]
Generated Node #0,0: 65:[1, 51, 14] Operation: 84-70=14
Moving to Node #0,0
Current State: 65:[1, 51, 14], Operations: ['84-70=14']
Exploring Operation: 51+14=65, Resulting Numbers: [1, 65]
Generated Node #0,0,0: 65:[1, 65] Operation: 51+14=65
Moving to Node #0,0,0
Current State: 65:[1, 65], Operations: ['84-70=14', '51+14=65']
Exploring Operation: 1*65=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
60,
64,
26,
24
] | 36 | [
"64+26=90",
"24*90=2160",
"2160/60=36"
] | Current State: 36:[60, 64, 26, 24], Operations: []
Exploring Operation: 64+26=90, Resulting Numbers: [60, 24, 90]
Generated Node #2: [60, 24, 90] from Operation: 64+26=90
Current State: 36:[60, 24, 90], Operations: ['64+26=90']
Exploring Operation: 24*90=2160, Resulting Numbers: [60, 2160]
Generated Node #3: [60, 2160] from Operation: 24*90=2160
Current State: 36:[60, 2160], Operations: ['64+26=90', '24*90=2160']
Exploring Operation: 2160/60=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[60, 64, 26, 24], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [26, 24, 4]
Generated Node #0,0: 36:[26, 24, 4] Operation: 64-60=4
Exploring Operation: 64-26=38, Resulting Numbers: [60, 24, 38]
Generated Node #0,1: 36:[60, 24, 38] Operation: 64-26=38
Exploring Operation: 60-26=34, Resulting Numbers: [64, 24, 34]
Generated Node #0,2: 36:[64, 24, 34] Operation: 60-26=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[26, 24, 4], Operations: ['64-60=4']
Exploring Operation: 26-24=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 36:[4, 2] Operation: 26-24=2
Exploring Operation: 24/4=6, Resulting Numbers: [26, 6]
Generated Node #0,0,1: 36:[26, 6] Operation: 24/4=6
Exploring Operation: 26-4=22, Resulting Numbers: [24, 22]
Generated Node #0,0,2: 36:[24, 22] Operation: 26-4=22
Moving to Node #0,0,0
Current State: 36:[4, 2], Operations: ['64-60=4', '26-24=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[26, 6], Operations: ['64-60=4', '24/4=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,36 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[24, 22], Operations: ['64-60=4', '26-4=22']
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,36 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,36 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[60, 24, 38], Operations: ['64-26=38']
Exploring Operation: 38-24=14, Resulting Numbers: [60, 14]
Generated Node #0,1,0: 36:[60, 14] Operation: 38-24=14
Exploring Operation: 60-38=22, Resulting Numbers: [24, 22]
Generated Node #0,1,1: 36:[24, 22] Operation: 60-38=22
Exploring Operation: 60-24=36, Resulting Numbers: [38, 36]
Generated Node #0,1,2: 36:[38, 36] Operation: 60-24=36
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 36:[38, 36], Operations: ['64-26=38', '60-24=36']
Exploring Operation: 38+36=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 38*36=1368, Resulting Numbers: [1368]
1368,36 unequal: No Solution
No 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: 36:[24, 22], Operations: ['64-26=38', '60-38=22']
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,36 unequal: No Solution
Exploring Operation: 24*22=528, Resulting Numbers: [528]
528,36 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,36 unequal: No Solution
No 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: 36:[60, 14], Operations: ['64-26=38', '38-24=14']
Exploring Operation: 60+14=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,36 unequal: No Solution
Exploring Operation: 60*14=840, Resulting Numbers: [840]
840,36 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: 36:[64, 24, 34], Operations: ['60-26=34']
Exploring Operation: 64-24=40, Resulting Numbers: [34, 40]
Generated Node #0,2,0: 36:[34, 40] Operation: 64-24=40
Exploring Operation: 34-24=10, Resulting Numbers: [64, 10]
Generated Node #0,2,1: 36:[64, 10] Operation: 34-24=10
Exploring Operation: 64-34=30, Resulting Numbers: [24, 30]
Generated Node #0,2,2: 36:[24, 30] Operation: 64-34=30
Moving to Node #0,2,0
Current State: 36:[34, 40], Operations: ['60-26=34', '64-24=40']
Exploring Operation: 34*40=1360, Resulting Numbers: [1360]
1360,36 unequal: No Solution
Exploring Operation: 34+40=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[24, 30], Operations: ['60-26=34', '64-34=30']
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,36 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[64, 10], Operations: ['60-26=34', '34-24=10']
Exploring Operation: 64*10=640, Resulting Numbers: [640]
640,36 unequal: No Solution
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
7,
67,
19,
69
] | 10 | [
"67-7=60",
"69-19=50",
"60-50=10"
] | Current State: 10:[7, 67, 19, 69], Operations: []
Exploring Operation: 67-7=60, Resulting Numbers: [19, 69, 60]
Generated Node #2: [19, 69, 60] from Operation: 67-7=60
Current State: 10:[19, 69, 60], Operations: ['67-7=60']
Exploring Operation: 69-19=50, Resulting Numbers: [60, 50]
Generated Node #3: [60, 50] from Operation: 69-19=50
Current State: 10:[60, 50], Operations: ['67-7=60', '69-19=50']
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[7, 67, 19, 69], Operations: []
Exploring Operation: 69-19=50, Resulting Numbers: [7, 67, 50]
Generated Node #0,0: 10:[7, 67, 50] Operation: 69-19=50
Exploring Operation: 67-7=60, Resulting Numbers: [19, 69, 60]
Generated Node #0,1: 10:[19, 69, 60] Operation: 67-7=60
Exploring Operation: 69-67=2, Resulting Numbers: [7, 19, 2]
Generated Node #0,2: 10:[7, 19, 2] Operation: 69-67=2
Exploring Operation: 67-19=48, Resulting Numbers: [7, 69, 48]
Generated Node #0,3: 10:[7, 69, 48] Operation: 67-19=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[7, 19, 2], Operations: ['69-67=2']
Exploring Operation: 7+2=9, Resulting Numbers: [19, 9]
Generated Node #0,2,0: 10:[19, 9] Operation: 7+2=9
Exploring Operation: 19-7=12, Resulting Numbers: [2, 12]
Generated Node #0,2,1: 10:[2, 12] Operation: 19-7=12
Exploring Operation: 7-2=5, Resulting Numbers: [19, 5]
Generated Node #0,2,2: 10:[19, 5] Operation: 7-2=5
Exploring Operation: 19-2=17, Resulting Numbers: [7, 17]
Generated Node #0,2,3: 10:[7, 17] Operation: 19-2=17
Moving to Node #0,2,1
Current State: 10:[2, 12], Operations: ['69-67=2', '19-7=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[7, 67, 19, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [7, 19, 2]
Generated Node #0,2: 10:[7, 19, 2] Operation: 69-67=2
Moving to Node #0,2
Current State: 10:[7, 19, 2], Operations: ['69-67=2']
Exploring Operation: 19-7=12, Resulting Numbers: [2, 12]
Generated Node #0,2,1: 10:[2, 12] Operation: 19-7=12
Moving to Node #0,2,1
Current State: 10:[2, 12], Operations: ['69-67=2', '19-7=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
85,
73,
99,
94
] | 56 | [
"99-94=5",
"85/5=17",
"73-17=56"
] | Current State: 56:[85, 73, 99, 94], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [85, 73, 5]
Generated Node #2: [85, 73, 5] from Operation: 99-94=5
Current State: 56:[85, 73, 5], Operations: ['99-94=5']
Exploring Operation: 85/5=17, Resulting Numbers: [73, 17]
Generated Node #3: [73, 17] from Operation: 85/5=17
Current State: 56:[73, 17], Operations: ['99-94=5', '85/5=17']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[85, 73, 99, 94], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [73, 94, 14]
Generated Node #0,0: 56:[73, 94, 14] Operation: 99-85=14
Exploring Operation: 99-94=5, Resulting Numbers: [85, 73, 5]
Generated Node #0,1: 56:[85, 73, 5] Operation: 99-94=5
Exploring Operation: 94-85=9, Resulting Numbers: [73, 99, 9]
Generated Node #0,2: 56:[73, 99, 9] Operation: 94-85=9
Exploring Operation: 99-73=26, Resulting Numbers: [85, 94, 26]
Generated Node #0,3: 56:[85, 94, 26] Operation: 99-73=26
Moving to Node #0,1
Current State: 56:[85, 73, 5], Operations: ['99-94=5']
Exploring Operation: 85-5=80, Resulting Numbers: [73, 80]
Generated Node #0,1,0: 56:[73, 80] Operation: 85-5=80
Exploring Operation: 73-5=68, Resulting Numbers: [85, 68]
Generated Node #0,1,1: 56:[85, 68] Operation: 73-5=68
Exploring Operation: 85-73=12, Resulting Numbers: [5, 12]
Generated Node #0,1,2: 56:[5, 12] Operation: 85-73=12
Exploring Operation: 85/5=17, Resulting Numbers: [73, 17]
Generated Node #0,1,3: 56:[73, 17] Operation: 85/5=17
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 56:[5, 12], Operations: ['99-94=5', '85-73=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[73, 17], Operations: ['99-94=5', '85/5=17']
Exploring Operation: 73*17=1241, Resulting Numbers: [1241]
1241,56 unequal: No Solution
Exploring Operation: 73+17=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[85, 73, 99, 94], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [85, 73, 5]
Generated Node #0,1: 56:[85, 73, 5] Operation: 99-94=5
Moving to Node #0,1
Current State: 56:[85, 73, 5], Operations: ['99-94=5']
Exploring Operation: 85/5=17, Resulting Numbers: [73, 17]
Generated Node #0,1,3: 56:[73, 17] Operation: 85/5=17
Moving to Node #0,1,3
Current State: 56:[73, 17], Operations: ['99-94=5', '85/5=17']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
77,
9,
75,
36
] | 47 | [
"77+9=86",
"75-36=39",
"86-39=47"
] | Current State: 47:[77, 9, 75, 36], Operations: []
Exploring Operation: 77+9=86, Resulting Numbers: [75, 36, 86]
Generated Node #2: [75, 36, 86] from Operation: 77+9=86
Current State: 47:[75, 36, 86], Operations: ['77+9=86']
Exploring Operation: 75-36=39, Resulting Numbers: [86, 39]
Generated Node #3: [86, 39] from Operation: 75-36=39
Current State: 47:[86, 39], Operations: ['77+9=86', '75-36=39']
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[77, 9, 75, 36], Operations: []
Exploring Operation: 77-9=68, Resulting Numbers: [75, 36, 68]
Generated Node #0,0: 47:[75, 36, 68] Operation: 77-9=68
Exploring Operation: 75-9=66, Resulting Numbers: [77, 36, 66]
Generated Node #0,1: 47:[77, 36, 66] Operation: 75-9=66
Exploring Operation: 9+36=45, Resulting Numbers: [77, 75, 45]
Generated Node #0,2: 47:[77, 75, 45] Operation: 9+36=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[75, 36, 68], Operations: ['77-9=68']
Exploring Operation: 75-36=39, Resulting Numbers: [68, 39]
Generated Node #0,0,0: 47:[68, 39] Operation: 75-36=39
Exploring Operation: 68-36=32, Resulting Numbers: [75, 32]
Generated Node #0,0,1: 47:[75, 32] Operation: 68-36=32
Exploring Operation: 75-68=7, Resulting Numbers: [36, 7]
Generated Node #0,0,2: 47:[36, 7] Operation: 75-68=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[68, 39], Operations: ['77-9=68', '75-36=39']
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,47 unequal: No Solution
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,47 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[75, 32], Operations: ['77-9=68', '68-36=32']
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,47 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[36, 7], Operations: ['77-9=68', '75-68=7']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,47 unequal: No Solution
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 36*7=252, Resulting Numbers: [252]
252,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[77, 36, 66], Operations: ['75-9=66']
Exploring Operation: 77-66=11, Resulting Numbers: [36, 11]
Generated Node #0,1,0: 47:[36, 11] Operation: 77-66=11
Exploring Operation: 77-36=41, Resulting Numbers: [66, 41]
Generated Node #0,1,1: 47:[66, 41] Operation: 77-36=41
Exploring Operation: 66-36=30, Resulting Numbers: [77, 30]
Generated Node #0,1,2: 47:[77, 30] Operation: 66-36=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[66, 41], Operations: ['75-9=66', '77-36=41']
Exploring Operation: 66*41=2706, Resulting Numbers: [2706]
2706,47 unequal: No Solution
Exploring Operation: 66+41=107, Resulting Numbers: [107]
107,47 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[36, 11], Operations: ['75-9=66', '77-66=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[77, 9, 75, 36], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [77, 36, 66]
Generated Node #0,1: 47:[77, 36, 66] Operation: 75-9=66
Moving to Node #0,1
Current State: 47:[77, 36, 66], Operations: ['75-9=66']
Exploring Operation: 77-66=11, Resulting Numbers: [36, 11]
Generated Node #0,1,0: 47:[36, 11] Operation: 77-66=11
Moving to Node #0,1,0
Current State: 47:[36, 11], Operations: ['75-9=66', '77-66=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
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